{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from __future__ import print_function, absolute_import, division" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy.linalg as spl\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# - set gray colormap and nearest neighbor interpolation by default\n", "plt.rcParams['image.cmap'] = 'gray'\n", "plt.rcParams['image.interpolation'] = 'nearest'" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# For loading NIfTI\n", "import nibabel as nib" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# For finding a brain mask from a brain image\n", "from dipy.segment.mask import median_otsu" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(64, 64, 30, 173)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load the FMRI data\n", "img = nib.load('ds114_sub009_t2r1.nii')\n", "data = img.get_data()\n", "data.shape" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OGZNZJW0QyR7SN/m++tVUCW+ySepC6dfh73Lahm7RIthrr3SA3Wab5uNOOSXt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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Global signal plot\n", "time_by_vox = data.reshape((-1, data.shape[-1]))\n", "plt.plot(time_by_vox.mean(axis=0))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o5x/VqJuP4AQm+cQe4K674I/+SB9fcokef7mZ/csva0IRPu9DhmhSV0pm/4Mf\nqJcf7kzml18GE7lymDxZL7S5LJwg8+dXZr+1InGxD2b21WzFrmVmH+wlGG7wDBIn9vv36wVw+PCM\n2K9ZozXwQ4dmj/vd0qIVJvn6DuzZE511Bz37YMwbN6qHGiSf2NfXqwgGZyaqFlEWDpRm44hksvso\nsS+0gRb0Mzr7bN1GVAeeXAwerA2MQb++UIITmERNNp4LP2suR+xnzdKa/Q9/ODuz94c5LkbsR4zQ\nRONb34JPfzr7db/88umn89suhTBliiafhYp9byNVYl8rGyfctbvSFCr2+/ZFi33wtnTOHG1Iu+yy\nTDnZhAkZK+eBB3Qc91tvzX/+9uyJbjyNy+zDjWKQX+yhdlZOVONscP/F2DigDalNTfFi39aW+c7k\nEnvQEsmrry5830FmzixN7IONtPk8+zBTp2rbTCn79amv16kBV62CW27Jfr1YsffjmjgxuhfvjBnw\nb/8GDz6oBRHl4v/m+qrY5x31spo4VzsbJzi+9eDB+sXs6ChODAqlELHv7lbx8OMIlqP5I/iBeoK7\nd6vY+KVsJ5+csYa++EX42c9g8WI9f2GR8nn7bRXAKBEONtAGY25ogP/1v3qum0vs/QtGLcU+LrN/\n9VX98Raa2YOO+nnLLTq8bliU/O+o3zCbT+z//u9Lr1f/9rdL86DDYl9MZi+SPRdAqYQbnX1KEfsz\nz9TvdtS5nDFDP6sVK4prC4hj4EDdjol9FejqUgGrq6u+2IcnOfY7eVRb7M84IzNhxSuvaAXEpz+t\nYjFihIrszp1ahfH5z8NXv9rzLkQk+4vsi/2BA3rO3vnO/OfPHyc8TuyDmf2pp2oMHR3Zmb0/CUVw\nuF/IDIIGtRP7117TgbHC+J59MTYO6EVuxw4VkKj3+cdViNjnmsIvH/nGjo+jHLGvBVdfre0ZxfCT\nn2jSEcXll+ugaf7opZXg/POzrcu+QqI2zokTmXKpapdehgUtOAlypYnL7B99VCsqgvH47QfHjmkD\n6n/9V/4GJ9/GeeUVveUXyS/2vu0TtnH8C0Awsx84UDPLo0ezh4IdNEhfD+8raOPMnNmzf0C1WLky\neuiAUm0c0FK6yy7TC2gY37c/dkwTlWJsklpQTDVOEtx8c6Y/QaEMGBB/hzRiRHy/g1J5+mkT+6rQ\n2Znp9FHNzP7ECd12sCbWz+yrQZzYr16dGVnPH2XSF/tNm/RL/eCD+cXez+xffjnz48k1bC2o2E+c\nmJ1xHzmeTO+pAAAfh0lEQVSin0FYGKZP1y991A8tysoJiv1VV2klSjVpadFjicrsg2JfTGafj5NO\nygxtGx7LPg0EvwPFNtAafZ/Exd7P7Ksp9vv2qUCFu29XS+yD438Ee6SuXp0ZOySc2a9dq/Oorl+v\no1oWIvavvJLpZJPv/L35ptoD4cz+lVeyZ+2BjNhHkU/s583T4yt2wuhiWL4c3ve+np+pj98Bqlgb\nJx9+F/18Fk5SlNNAa/R9ErdxapHZhy0cqF1m7/dIfeYZrY0fPz5TAjl+vNokvtjPm6cNsr/+dWE2\nTjCzL8TG8cU+WIX0zDPR46N/8pPx0w/mE/u6Oq3ffvjh+HjK5Ze/1AbVKMaMUUE+cKCybTJnn63n\nvLeIvWX2RpB+kdknKfagWfIDD6gP7E9/Fs7s163TKoZrrtH35KrGCGb2xYj91KkqAAcOZJavXBnd\nwDV3rpZ0RpFP7EHLRKtl5TinYn/ZZdGvNzSon9vSUtnM3hf7XEMlJEnaPXsjWVIn9tWofY8T+6gS\nwkoQJfYPP6xi709/FvTsX39dy95mz9YKgwULNHuPY8IELSUNzg1aiNhPmNBzjBd/5MOozD4XhYj9\nggVqeVRjcvfNm9WiyNXLdPx4HWiuGmLfGzJ78+yNMKmxcQYM0Nv/UoYByEctM/u339bMb+zYzLLp\n0zMlkv7IesHM/pVXNFsfNUp/oE1N8eVmkGkoPPnkTH1+IZ79hAk9e4K+/LJmwMX2mixE7AcMUM8/\nOAxtpVixQrP6XA2k48frMVfSxpkwQb+zW7emX+zNszfCpCazh+pZOVFiX63Sy337VAiCg2j5Xbkv\nuSRb7EeNygyLUCgDB+o+gmVspWT2cRZOPgoRez+magyB8cIL0aWRQfzPu5KZvYhm96tX9w6xt8ze\nCJJ4Zh8U+2rV2tcysw9bOKAdk/7wD1Ugwp69P75+nD8ex4QJPYe7LUTsJ07s2eFp5criLRzIFvuo\nmYmgep/n2rX5z5ffb6CSYg96zletSqfYm2dv5CLxzD44uUK1MvsoAa6l2E+enJk3NuzZg/YqLFZ0\nTz65Z2afq87+7bf1WMeP72njVErs/SFtw7ZKNTL7Y8d0KITgGPtR+Bf3SveQPvtsbRxPo9ibZ2/k\nItHhEoq1cdraNFMrdpKCpDP7IL6N09aWien++4vfz/XX9xTqXOdu714V6Pr6jI3zxhsqDGeeWfy+\n/UHBfOI6Lw0fXnmx37RJY87nR1fDxoHM3VTaxd4yeyNM4jZOMZn94sU6IUSx1LIaJ5/Y+7PhtLf3\nbMQtlk98IlOJA7nPne/XQ8bGWbNG7yhK6QUazuzjxL4ad2qFWDigx9nQUP7sRWF6k9hbA60RJKfY\ni8hgEVktIutEZLOI3OEt/4aIrPeWLxeRqYH3zBKR50Vkk4hsEJHYIaGKyey3btXp2vbvL+4AIXdm\nX+lSz3xiP2KEZtgjR+auuCmWQsXeHyTMF/tSGDu2Z0/cWmb2xYh9pbN60Mb2hoZ0in1wPHvL7I0w\nOcXeOXcMWOicmw3MAhaKyHzgLufchd7yR4BbAUSkAbgf+JRz7nxgAXAibvvFiL0/JVsp4hEl9nED\nepVLPrEHtXKCA49VgnxiP3GiPg5n9qVw8skq9p2d+jyX2CeV2Y8bVx2xHzAgU1WVNoqdqcroX+S1\ncZxzfrPfQKAeaHPOHQqsMhzwh9f6ALDBObfRe2+7cy52/qRCbZzubvW1r7iieLHv6NBqkaiGumr4\n9oWKffjiUy65xN6vsYdMA205Yj9ggPbw3b5dn8eNQVPpBtqurkzns3ycdlr+RtxSefZZHQY6bVgD\nrZGLvGIvInUisg7YA6xwzm32lt8uIjuAPwPu8FY/E3Ai8qSIrBGRv8q17XBmH5cJPvOMvvbe9xYv\nHv6Ue1HedDXEvrU1v9hPmVJbsX/rrcxY/v4E5seORQ+AVij+pOSgMztFXUwrbeNs2aIXreDopXFM\nmaJjnfcnzLM3cpHXNfYy89kiMgp4SkQanXNNzrklwBIR+QrwHeAGYAAwH5gDHAWWi8ga59zT4e0u\nXbqU3/xGGyubmhppbGyMzQSfekrHWhkxIpNNFkqUheNTDbFva8vf8Bo1SXa55BL7ffsyc6GOG6dC\nP39+eTFMn57pHbt9e3Qv3Eo30G7e3HfHGq8E5tn3PZqammhqaqrItgpuInTOHRCRx1EhD+79AWCZ\n93gnsNI51wYgIsuAi4BIsf/e93Se08ZGXRYnDm+9pT0mBw0qPlNMo9hfdllmMpFKkavOvq0t00Yw\naJBm3KVaOD7BzH7DBh1uOEylM/s9e0qbrq+/YJ5936OxURNhn9tuu63kbeWrxhkvIqO9x0OARcBa\nEQnO0rgYWOs9/jlwgYgM8RprFwC/jdt+oQ20vmCXIh75xL7S5ZeFlFS+733wkY9Udr/5Mvtgg/D4\n8eWLfTCzj5qYHCrfQBu0o4xs/Au+c/o7Cc5rbBj5MvtJwH0iUodeGO53zi0XkQdF5CygC2gGbgJt\nkBWRbwMvAA543DkX65wW2kC7d68K1NGjlRX7So+P09mpMcZN+l1NgqOGhu0Zf/IWn5tugoULy9uf\nPwNXZ6d66eeeGx1TJTP7t94qfX7W/oA/XMKrr6pfbxdGI0hOsfeqai6KWH5Njvf8CPhRITsvJrM/\n6STNwtNs47S36zaTmK7OHzW0szN7suugjQNwyy3l7++MM3TC75de0sqUKMugGpl9uRepvkxdnX72\njz2mc7OmbdpEI1kSHxsnaRun0mJfTq/Ycok6f84V1o5Qyr7GjIEnn4y2cPx1/M/ryBGYM6e8Tmxm\n4+RnyBCdO6HSE3EbvZ/UD5fgjw8/ZkxpYv/mm/ECUWmxb2vTbSZF1Pk7eFBv6Ss9bABoI+1DD8WL\nffDz2rNHa/t37Ch9fyb2+Rk6VIdgXrQo6UiMtJGqzD7qtt8X0Pr60sR+x474DjDVEPu0ZfZhC6eS\nTJ+u8+XGif3AgdohrrMz0xC+cWPp+zOxz8/QoXDRRdX7zI3eS6rEPkqsgjZMqWI/bVr0a2PH6uiP\nlSKNNk64cbaS+JOyxIm9SOYC7o+lU6rYd3Zq560k75x6A0OHmoVjRJM6Gycs5n4lDqgfefy4dpsv\nhKNHdeC0uPlcZ8/WdR5+uPjYo0jaxomqtQ+XXVaSGTO08ijX0AG+2Le16QBiYbHfsaOwPgf+Rb8u\n0W9s+pkxA666KukojDSSqsx++HDN3oIEhx8QKa5X5s6d2rMzTiAGD4bvfx/+8i8rY+f0Nxtnzhz4\n0z/NXfXhX8D37YO5czNif/QofPWrOjb9d76Tf19m4RTGgw/q52IYYVIl9hMmaCbu9wKE7GqaYqyc\nXH69z6WXwpVXwt/8TeFxx9HfbJwZM/RimQv/89q3D97zHu2I1dkJ//RP2pD4hS8UdvE2sTeM8kiV\njVNfr+L82muZZUEbB4oX+zi/Psh11+lga+WSxsy+mjZOIfgxtbXpUAennQYvvwz33gu3366+f9ww\nD0H27jWxN4xySFVmDz3HXIHsUSTjxH7rVp29KUihYn/OOSpA3bGDMRdG0p59rW2cQghm9uPG6bDD\n//qvaq3Nm9dzkuxcWGZvGOW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DyImJvWEYRj/AxN4wDKMfYGJvGIbRDzCxNwzD6AeY2BuG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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Knock off first four scans, replot globals\n", "data = data[..., 4:]\n", "n_scans = data.shape[-1]\n", "time_by_vox = data.reshape((-1, n_scans), order='F')\n", "plt.plot(time_by_vox.mean(axis=0))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(64, 64, 30)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Use mean image to extract brain\n", "mean_data = data.mean(axis=-1)\n", "mean_data.shape" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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M7Cv9PNcU5/6+mY2b2Rb6rJYKvma22MxuM7OtZvZbM/tCHf0xswPN7F4ze6BZ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\nL0Rm/D8DolaGqidVrQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(mean_data[:, :, 15])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Extract brain with dipy routine\n", "masked, mask = median_otsu(mean_data, 2, 1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bRPpEZCD/uh/4K2AHNZR6rKY0ay2eqfdkXX4bqoWFBf23uLiom796D9+HD0SE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\nDcMwYsT/B0p+rKpsG19jAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show example brain slices\n", "slice_no = 7\n", "fig, axes = plt.subplots(1, 3)\n", "axes[0].imshow(mean_data[:, :, slice_no])\n", "axes[1].imshow(masked[:, :, slice_no])\n", "axes[2].imshow(mask[:, :, slice_no])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(20931, 169)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Get in-brain time courses\n", "vox_by_time = data[mask]\n", "vox_by_time.shape" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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anDFNTveUczbnght7GteYJud0mQU39tT2fholLwa0EXU1IS3yaYJ5pROWpu0xTU5Lo34X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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make discrete cosine basis set\n", "# See https://en.wikipedia.org/wiki/Discrete_cosine_transform#DCT-II\n", "N = n_scans\n", "n = np.arange(n_scans)\n", "n_plus_half = n + 0.5\n", "dct_basis = np.ones((N, 8))\n", "for k in range(0, 8):\n", " dct_basis[:, k] = np.cos(np.pi / N * n_plus_half * k)\n", "plt.imshow(dct_basis, aspect=0.1)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vzcUPJhL9OKfo58aLc268c66Fc64VMARY4pwbFjJTNNdOYJuZHRd9qiewDpgX\nMNdG4Awzy4n+LHvi552EzHRAST+vucAQM6tmZq3wXQ2vJSKQmeXi/5od4Jz7Z5GsCc/knFvrnGvs\nnGsVfb9vBzpFu86CfZ+i5gBnA0Tf89Wcc58GzrXZzLpH758NHFiUs/yZ4jGaXs5R7j74q242A7cE\nytAV38/+NvBW9JYL1ANein6DFwJ1A+XrzsGrgIJnAk4CXgfW4P86qhM6F37wcB1+mfJp+CshEpoJ\n31L7CNiDH9u6vLQM+G6PzfgC1jtBma4ANgHvF3qv/yVQph8OfJ+KvP4PolcBJSpTSbmi76PHo++r\nN4FI4J/f5fgW76ro76tXgI4VzaSJYCIiGSp0F5CIiASiAiAikqFUAEREMpQKgIhIhlIBEBHJUCoA\nIiIZSgVARCRDqQCIiGSo/wfDyAlhKxZ5/AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dct_basis[:, 1])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Project out the the DCT basis\n", "time_by_vox = vox_by_time.T\n", "B_dct = spl.pinv(dct_basis).dot(time_by_vox)\n", "filtered_t_v = time_by_vox - dct_basis.dot(B_dct)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Xw4CtKqmgYqunDzSVfuB25Om/5z3AtdfGSN8zIRCBWb5DwPHjUVtl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3wtK31Qvn7KWINXpATrHmuS9G0bXvay+C+8YSiy2LBhZdZiGDAxsXQl+6YJwjPxyuvT3rEsePzx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\nOSWzJRNFAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time_by_vox[:, 10000] - time_by_vox[:, 10000].mean())\n", "plt.plot(filtered_t_v[:, 10000])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UpcP3M1nRBwkZW7ZnjPsuz0E7g5rWefv8zoivVfg+Fpi5KcPr9NC76oY2YkuG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U6/ODM/cz6fP3U6nT48M99zPp8/fDqdfnBm/u75fP77V8Zx/tjHPnb1JlNJ5gPeC534tWijzDBm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P1xrR6Xr70h7UAd3X36T1/a53vUvzCLUaX1Cynah1wbslSxioTv08AiH7JCOXLYEZ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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Do plot similar to Power et al 2013\n", "plt.figure(figsize=(10, 25))\n", "plt.imshow(filtered_t_v.T, aspect=0.005)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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z9DVY7vWe5J+0VKb5KSTJm4G9VbWz3d4DvFJVHxqax3cmSVqjqjrtlJ92EFwA/APwY8C/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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot histogram of all voxel values for first volume\n", "_ = plt.hist(filtered_t_v[0, :], bins=50)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Lrl36u7059QcfBJ5/Pu4oSDHRZkW9GDtKm5r0J2hOvb4e2LIl2piC4JdTD3Pwkf0M25uo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\n6vX1+iVwT+Zl6dt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FOGOGdyepk0mTwqlHDxPr1P0GHjnJVtRLSrQD/u671e3ZzyEIHTro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\nIaQN8f8LUdk8wOvirgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Are there systematic dips or peaks in variance, shared across voxels?\n", "rms_over_voxels = np.sqrt((filtered_t_v.T ** 2).mean(axis=0))\n", "plt.plot(rms_over_voxels)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a design matrix with deltas for each scan\n", "X = np.eye(n_scans)\n", "# Demean the columns to make them orthogonal to the mean\n", "X = X - X.mean(axis=0) # Means all == 1 / nscans\n", "plt.imshow(X)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3CX+FNW2MNW1ci3VZ0zj6BMAbgfd1y+8D/v7qAVX1+aq6p1v+38Bh4JIec46qxV+4NW2M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\nQqEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Each vector is 1 for a single scan, 0 otherwise\n", "plt.plot(X[:, 100])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Project the data into the space of these deltas\n", "B_dirac = X.T.dot(filtered_t_v)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZJoieyebfjJQUU0hNJNcOU7rPzPmasChGXj+NFDP6m+q2GdYrFmmwdUiVpHY40AFskSxz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U6/ODM/cz6fP3U6nT48M99zPp8/fDqdfnBm/u75fP77V8Zx/tjHPnb1JlNJ5gPeC534tWijzDBm\nzCJe5okQ9cUeKxGgGjifogHbQCOL3sLLbfUjRYTMsKTU1L624dFaagKqRrK+Z2QY2j1ZeJ8q5Frc\nVEqbdt/z2oJvW5qOxmu19WXRUYt0ppCz0nrYZswQLs8KIgznQWMwoHzTjmWPweaBohgWnbPIMKXQ\n7TuUit7rmgzQbaTTerXiBtJZlqKm57f//9gBfO161q6Kooq21ihrM3NbUZLBB+jeLY1JBpplCixK\nbPszxTgxSVr6peN6H/3oR+d8Pn/bIng04nU+n//D6XT6q+vPf2tm/uaT1//rzPzKzHxkZv72zPz8\n+Xz+w5n5wul0+p2Z+b7T6fTFmfkr5/P500++87Mz83dm5lNPrvVPn/z938zMP3tsTHYwGrMygXkt\nj0sP2LBDxnVD1UgWESIshnEpmYFAKRUDPZLS39LivVKZWFUjGapGE0Gp2S3UA83Knc2DaqujaP5t\nI9MaNY42w60R8H7P69e+9rWH18baT+F96+JAhuo+TDNSZlQhZPCZ0Unrda/DtmKVeuTZc0qxQ4QO\nnn0tIwGl37J9QtHD3fSciFZNH1Ivw70GKG249xa1NrM2PPTcd9Qt1yH1RN2fM8gBZV12xIvIsK3A\ngjCOpocpAmrX29EmOifszCAs2NYX1Hlmj5VwYrtghtYK8eXNcFR9i703czvG6/nz+fzKk9evzMzz\nT16/a2Z+NT73pXkz8vWHT14f8vKTv8+Tf39/ZuZ8Pv/R6XT65ul0evv5fH5jlhwPz/L6GWreUaTc\nEHTIGSlpKppNO9GGoYlryw7dfM9oHQhftdNMxIa9N2UuTOOMaTxdw0FYdK6tAMzrpdI2ZnEq4d7r\nhigCzNujZzbz7c/tkH3vlNo2I5GMdGtblMplGxxJo0BVXTOXc5b3l7+z00yE89vz0xIk55jMSCRH\nLeffnoVVABKFivUqtTQfVfMZTx8dkvvaqeuMR4qMyX1PxIJuuNQ01vbBSNcm3OHMJWTAyK/JMcq1\nZ9Q2bWsbwwVTNHOvoZwjyu5YRwDj0CIMoeEGrU8inX1WJdlSWpCxtc9sipptqAM50bZeCeZhzvU1\n+VOD65+kETtClz+l/Mqv/MrMvKn43v/+9893fdd3fdtn0jiyvDcd4hbezE1t+DHLvRPZqAnln43L\nKo0tiwwYiSvhqywNQy079rXp8DIshhm0Tepg5nLOU9EbE3V+joDGe6z53vaaaMNuhUtKyIDQNEcW\n9bSmtxRps32S95Hr5h3veAeOwYxvKiywaI552E3kyLxoqwakz+0DiiLaVlVKh/1eh1TNatAEg1tQ\nNNIA3WRUWzFI7p+9FyjNt59Ffs/0cApR/Bguj9bQDFNS2PznNTa+kNp2GZkwFXlY6tPm9TFI0iHk\n8NgYaB6MhofWwwy3zLLuHTSeLRSRO77zuc99bj73uc/9mfVqfOV0Or1wPp+/ejqd3jkzrz75+8sz\n89743HvmzUjXy09e778f33lxZr58Op3+wsy85Vq0a2bm+7//+2fGsSLG45XSgNdnuNS7bfZqC9jC\npbQArVKKFrAZPbZAKFRvnGM0hvYgNMVg80qM/vtzTYrNFINhskhpb8VJBpWtFWKat7G2FBkp5rm1\nTd1zTETXMMOFItaKJr+zHZeMdlsUiVLWVuhARs82ENKwsOgQGc97rVAanqKAM2xEWTNtgwXke8bq\nTe2NTA8QZmlHPckwt0hP23uT2haZ8W0kojl2K24gjimjXaHIvmENrbqTYBlt5bo5ClR9as6i4XMp\nEmVdQozHi3SvZaJynvOcOdbkBz7wgfnABz7wcB+/9Eu/dH1cOGKXfzsz/3BmPv7k3/89/v5zp9Pp\np+fNFOIHZ+bTT6Ji3zqdTt83M5+emX8wMz+zrvWrM/P3Zubf048ei9gwWebhUXjZcDsUnbA0U+u5\nGVif8GSGL6HvW8l7ihm0LSbOrkfvGf0GPTM7xDMNbCzJhMlq6TdsDVgTY8LW2KFExpphDc2DJRDx\n/hxFiQ2DQ5+zeW0r0CzlTWvFIjhtkQF9fxsIlLKw9J1VfNF38uDZz4woRcyYMVA5RcUpEjPjxK30\nOYtQUZHAXoekK82YpGbhlgEw6hHiyGuzH3tdE3+kpbNawDqlO+0ssBZjTRseg3+0BVQUTdtiRNZ0\nnlufY5oHe7bXpKGT+Pl5E0j/zOl0+v2Z+W9n5qdm5hdOp9MPzRM6iSc//pnT6fQLM/OZmfmjmfnw\n+Y9H9OF5k07iL8+bdBKfevL3fzEz//p0Ov32vEkn8W0VjQ+DfbJ5tnKiA88iXhQZ24cDGRwWoTJs\nAW2CbbVTCTAZLFusJJaqO28VUkJmrD3G7HsIdQQwbFObOqaWG3vT0Ca34o2WSPaW7gWG26EN30bG\nrHDFujOQ4mqpWqwakKJ9xrPUNjBPMWONMFX7c7lvKe2+f8si0LQuyXHc40tp00VbKL1rhi8Z1ZYS\nIwNohvetOTVtwQw5Nea4m/4iI9HwewaUT6EokukYMtj3+FrqBcOt0d6wBug054bLs6gnEUxbcQ+d\n37ZnzAk0p2SmoJP4TpHT6XT++Mc/fry+eI88YgMIkjKxjWzYDtvkzVi3EA9O/n1H0xJLRLiYPQZL\nnTXVX/u9FNugdNBa2N4WM1WvWKl3y99Dhrm16cjntL1yMsosrE1rzwxLi9DSXthKkQgbzeihFLop\nUutBSp74NuoSIJ54zHaOUvbebImByUAwzzllryl6TtRGaYYPWsO8GilpPiczfPN6FH3c85o6LDGA\nttfN8KWUtx3OxAO5x0pRbEuNUyp1jzXHYNETqgBsCx22UJSxpf/ZnzND59r39/+NJsK6rKRQWtTO\n71zXqUfMcTQ5xv6jP/qjt9FJfCfJsRGsSXPbyLqNSJClT5Vp+9qWOjMCtvxdKiHexgLxEO0x5Oaw\nKpL83TzILIqXYuXJpIz3MyPiSsOrZIGFRQMIs2GHrs0reboW7TNHgYxd41zKyh0LhVNUdt8TlVkb\nbrDlnSMcYnvwWKVmKuk9r5S6MVLlNsVGYN69Dqm91xZS/NYkmxw/I660iCOlTM1xtKbIKdR4veWn\nMyyeHbSUPs1DdztMFJHbz7Zt5kxG+n6e5Hy21YoWdaP9uR0wuvd9DhLzv0UIcwxtP9gWp0xjm7mc\nc3JQDPN9C/3PIXdleB2TvRtZ5wRm2xDDKuREG1iZvPJXX3314nMZlbLQOhG8PvfccxefIws8H6h1\nhs+FviNjBLhNJTjDOJRdlkv0Abl591jz/nIxb26gFKs4osNmK0XqXmD8RGnUWfVdXpvaLV0b0yHG\nQE7G8lZO1HfOGL4t5Z08Xnnvu/KKIo457mRyn+GWKXte81nntffBnxETS8PkPeV8vfDCCw+v98FD\nRpl53m+88cc1QvueckzkNMxczks+p9Q31nEi1551UDDWcqKTsMOZKu4Mb2qdA3IuU/b1ci5beoQW\nnkLGkRniZszT2tm4KTIszLglA2EbH4RHa7kM9+eaTJKtgbwn613bEq2mWNV4/pY5dwQB2oblY03G\n78rwOjbfnoxcPB/84AcfXu9D6Qtf+MLD61w8uckNLJiLey/Y/Fxeby8eOkD3Jkz+pG1okhCuYitc\nMh4MLG4tcDKyRdEES6EQn9AMV/EYYDrneHMD5TXykLPefqT0W/zSvvc0cF977bWr39ljJ09wjyHX\nXhoY21jOMeTa++pXv3rxOVKKRh5LqYM9j7S39h586aWXHl6ncfX6669ffI6A/Ob85OfSadtjSEcr\nP2fG9+c///mH1+9617suPkfR0X2AEsGlRUio8fS+Ns3Dpv0gji+jlSGc5dabucap3dW+th26uf6N\nziOF9pY5QkRZMMNR4u0U5R5MHW+VshSh2s8210ree67d/b2t11Mo2rQNLzJM0lHYDv7v/u7vPrzO\n52cRJYPSEC+h4aiJfHzzdX7uc597eP38888/vN7n/FNleB0e6b6pL3/5yw+v8yCz0G5ujlTg++BP\nxZAbLyMGe0xkBMxcLpi8dh6SM5cHIFVqWug0x7qjabnBKDqxJRftPpRyTHv+ro1ti7FFU4jbsAV5\ncGyFSxUrBCKfcY6jFKqM3Os1n3U+C0tH5bVTcW3FR9VDe73mPOQY9mGT927VTDkv1PD3Qx/60MV3\nKBW0HQ0y3vZhs6PQ9Ds5R6no01Ay3E6u5T3WvF/DmVGBxF7/uT/NOUgxypkUcj7tczkv1oaHCiKM\nPdzmNX8rddEeQ64PS3NTqsrwoRR52s+MomHb+SGKnm0gUKqWiF9nLs9BcvTsetvgoMikwShyLg2b\n3JK95rOmyP4MVx7anskxWXUnGYY7Smxn6cydGV7HxjTPOW94KxPyMPLvexOlUNh/5vKAtzRHLmgy\nFma4hYRFsvI7uRH3IZlj+MpXvoJjIHC2sXqn5DzsqA99x9Im+btbCdK8modH6RBLS5gH1TZape9Y\nFC/Xsq3DnL/0yCzdbIZcpgfTQXnPe95z8blci2nk5d/3wZNjyDW6jYW8Ru7PrUhzjsxIp8+1/e6s\nAjbXaO5BW1PWZYJaJOXrncK1KHZKg3GZuZxzq6htSE63zsp9m/e0D/40GHKOtsFBXG6GMaWUvuEY\nU1+QszlzOXc7jZzvWUqSgPeGt8v9abi1vF6OZ99Tfi/XW2ZmZpi3zPYZ4ai3kU6cY1uvtPs75y/X\nkTnDVISyz7NnnnlmTO7K8KKUW95kPkSrZMkNaim/PGysTUFujnxvL4pcTLlAtiGRm5R6XtkmynHv\nseamIq9khhWmtfUhg2MvRMJVWA9GA5XnvVsUj/rBkee9x2Cl2S0nDuGK9qFLlUkEzp+5XFPGTZZj\nsB6Fr7zyysPrjFiZIZFKKOd/7wWq/NyHKaW3tlFBEQkDFBNx7v4Opfn24ZwGgqXlcs5zP1ohQK7r\n1G1WfWeYJYoAbIeVwMZWqZwOj/GeES5y6yIqJrAiJ+oZOvPta/GQ1JVtT9o9xwS32EZKCkVh9/Xy\nPugeZji7Y9RCGTHeZ0sGOwh/PMM0D9ZmiIId+5kRtGOPtQXKU4uqXDdmgObc7TPxMXjQXdFJfOIT\nn5iZvi9SS5hmTWXbSgpSxtaqpW3lQM/IqpSMaLVlTm/JOFO5tCBMwlLYIWljaNoWzXQdC4wby55Z\ny6FFVUaWGqe1Z3QGlj6ldNRW5qkUrYcZGUSEI9rfMVoTek5t54C2Qs7434h+wAyblujW/m6cgHTt\nFMPl0Tq0wpVWB1JUsCUytcbfhI/b/zeOPBqfrS+ilTE9YFWWFAnfxmQ64QRpsTSa6TYC6BsjAGEI\nZ5jrz85EOj8M4N/eb4pdj577ni8aA+mLH/7hH75/OoljcswSNj4ai5gcYj0Y8xDfCiQt4bZtUW6w\nfeDR+KxfIQGcW/6kLaTQ99+JU6jhodrfMePPKAfyPtJL2fPYGlEpZNAagWS+t6Nu+dyNeoSwHbeU\nTxvvVv7uxoLlPX32s599eL1TuIQRMhZoihoYg38+9522olSXtVMhmIL1FDQi2bwPwrrNXD73XCv7\nOdEhZ8UbxM+1Dx6K4tnespQYtdGxKBJFXrdeyutRim6GucT286Tq5vzcXl9koO3PZWSLKDtmLucv\nx2D6ggqHdhqTIt87OkR6z/B7ZqAR1Mf6SpLe3HuLnBBzFq2vLUXcrccwRXytmfY1uSvD6xAzJAwz\nQxauKTFqzGmtaKhVwv4tI8Cj0CxRYuz3UvZCp/SK8e2Yp0tVbFZ5RVFGA2sabocqNS3qSSXObYh7\nj4H6xG0PltLFZiDQejD8mDHIt+zMeY0XX3wRP0ds0dbCiwz7vb7yeRj1BSlCU7gtKz7taaOfMdoJ\nomWwaAA5L1YIkPvH+kUakS/1MrRoa0sVQiDkvQYoxb/XAHHNbb2ec0F8gzsFRs99Ox1kZFhrJ2q1\nY2LUNhSAMB2T71kVqF0v1we1tTLoRc7xXodUDLXnnyKBVolNZ5+1LaL1PvN4R5i7MryOh2wPxDxs\n4sBKBbkt1VyA+XBMmRshJS0KS8PQ/W2lk2NtG5627WcI5Lt/t1Ua5N1a1Cc3+Qxi2ewAACAASURB\nVJ5/8pSsEwEZLbaJqCXJDEdwrDrHGKsp0kO8Svs7FiGkKIulj7J6+L3vfe/F5wyUfIhFstquEG0b\nMEuxEZaLDJYZn6MUMpTavnpb2tRGikX76HctLU20H3vcRF5tzh1F6dvUrEXQzJGk9BYV0szwPRl5\nKVUu7t+9pe9iyv47pSTNILBUb5sWpetbB5hGJ+/PWZPyFMN4NW3TjNTaMjqPnYN3ZXgdi2nfJFH8\nbyVN7QwsZ02e1gZCZ3jZqvmIf2RX8WTlSHpeVs2UAPa8V2thlIvZ+HtSrNEqRT4MgJrj2/Oaqa/8\nnW1w0IY3I6rtKZghfYs2kfGxeWsSqGoptqQBye/kHL3vfe+7+E4aRymmIC2qQuBgS6/ke5bOpcpb\ni9DmYWpRjHwWO32av0XA3p2+IKNs6wvyyreQ4bsjQEbfcMh2wDLt1DYTTv2z74lSdtb6hZj5N6CZ\nSDHt4LIOFkQIbUB0ckT3vs3CiVwPRpFhHQGoTdbeW7kHCRC+v0NEpjuwQITVW1/nPsm53GcERbgz\nKrWB54QJ3QVZOf9WZEOZB4tOU6Zmr0OiPjJc3jW5K8PrmMStgIgF3UKLObm5aPfBQ5Gs/UBSYVpa\njrBbbVuTHMM+NMi7subLRqBHitRaFZFnaoeQVT2Zx5hi3lpKPl+qEttrgNIhFnm1NAe1EdnrNStT\n89o57v3MCONiuBHrJ0e4lh3eT2Vs/dZSUonR78zw2jOgNpFY2nvm6VJkxoo8DAxM8Ih9MJKzYfgS\nMnbN8CLKmhlO3e+IEs2LFTqQMWmYuJY81lK4KRSN2cYaFQ5Z+o6wv/t3rb0UVR3nd/Z85Rgea19z\nbTy3MuFTJMpwU+QwWS9co/9pW5ZRz2LDglNK3gz7a3JXhtexuCy8bHw0lOZrcQtWoUJWu/XIMywY\neaoGxqYoxjZYKMVj92TpQMIGmPFH47H3rO0ElY5b9IRSsy3BnwGrW3xVi50j78w6AhgLN43PGqob\nFpJSL6b4qEenFQJYqjfv1/AbZKBRZewMc0JZhNDaCaWYviCHwLxy+t22sbClvVJMX1BKxirLzHlq\n9QrtT6tqpHWzhfTUvicyNG1v0f6e4b1lz4lA4HsMBNGwSI/BKMiBMpgOYaW2Q0Hzbx1XDG6RQsEN\nK4hIMXqda3JXhtfx8AykaIdSSmtQkZK2MlPDWJCXszcEHUpmZRPrsuXriX9sj9VSbDm+tjqEigSs\n8s0qVokQtCW6bXt/WTSNAN224Q0nYJWph2wFSW0/doSKmkNvkC6t/7ape4rtrRzDjvrQejXC0xQr\n96cy953KJuO0xRFZlWRebx9kdGjm9Wy9GraGonMWwTGeRDp0W4ye4QRTL5A+3J/L13tNUgTH9AAZ\nDy3hqWFyiWx0htPhNg8U8TKDlgIYM1wpa8Ug1OPWjLVbIpMWYGmdcEr1Go7Xou97/rbcleF1TLAp\nxZRbOF4s6mBEkylmMRPXzT5sKL1ixgd5TftzrSLMa1BYdl+fDAmLJNp8kTFjKYs0SC28TAZyS32x\nD36KnG6lT8R7BgKn6Je1+DHvnSruzEjMVkf73nPsRBFgCrcF+Of9GeUA/c7+P0Wb2kiWGTPU8mmG\necG2LmuMGfP4qR/d/p5Vk1Gq8ZaIl0UGqLptf89gATRfFm2iCIlR0aSYbrN7z2dNEaUZpoNoK5NT\nDNJiETQ6t1qHOueypc3ZfzeDL4XWoe1BimLf8jszj0e778rwOjbI9hwoFWd0/7mQjHOJUn47FUFR\nMzug8vWOXuWYiGneevuZMdlWXtEC3IqGyBcNM0A4lHahm6Gar63nWHqSCbjeYyCc33621Mpnb8KW\nIoOqF9vqLyrn3mOwVFCOgRoQ7/+Th70PB/KI9/qi6M7eq3RwGwifxm2dJAhvN8MOhfH8GICeDjyL\nvFIk0OAMtgfTccjvGIUBUYpsndWOIfdW7ltzPknH77E2zb2v/f8QO3StHRSBs61SOa9BrXH2WI3P\njLC3+3y7pbI4x2e9C8mh2GOgdbjB+qnzrVqXnBLDIxNu0PbWNbkrw+u4GcupG5iUNlguZgN1WuqH\nyphtDMYDQtGrXMAWnTNvry2JTTGD1pjU6Tv5nIwChO5pR5Hy+hYZI4VkGLYU47qhyKt5owauJw/P\n0pjEmbT3TJuOynskuoAtpDwN45XjsaIRGvcMpyGN/oQiEnteM32d7+0DhfrO2frP6xlQvgV3t2Bq\nokfYBgLtrX3vFMk1TjUyLPf6ItLU/bkcA/U33b9Fz2Iba0SIa8UglKbdv2uRYUprtlHKFMN6mvGR\n17NehhTJNZwZzX97Zhge04pBUmjPtPQWZjdck7syvGjicvMaSJoq2gyw2JRz77HlBt3YGsIWGA6L\nUnZGIppin0sPaM8vkcduIUPTqroo924esTU8JSC5tUkh47TFgxgI1oobyNg145uMt/1s6TlZcYPh\nWiglaZVEKfmczVCy9B2V5O85oWpFAxTT7xi+hwiIt+Te2uuays1tTaVQGmeGDy9bX5a+puduv0vp\n4bZ4YB/8eb+pUy1Kb83kKWrTtprK37Eet0bnQR1OrIl0m90h4886pFjkm67X4ttS2nN0n9+EMTW8\nNVHRzPC5ailXcjgN73hN7srwOibRDAQjVssNS8ScpvStpQi1YLG8spXdE+6mLY81zAw1h94HEh0O\ndjiTwWFl3+lhW3rY/k6NsS3FQBWALTHqjgxQKtT4YyzKSGFyw9nksyE+my3WpoMijlby3lb4ppiB\nRgatFdlYCp2MAqssI2Vs3rvtQWrntO+poZXZQs3RrXDFekKS0bl1W4OD2+uQ2mcZu3lL+5Gyx9q0\neNsHP+HCDJdqhmpG8ZI6ZkdwKCpOUaj9nqUJaQ3sMaTBZrgwgtnk/VnUM8/VfW06f+0cbKNztK73\nfiSnzfj8rsldGV7H4Wr5bOrpNcNh0HxwewFvEr1D9qFLfRc3BiS/l7novcnzvUxZ5O8k2Hlm5oUX\nXnh4TXiLfQ0DfxJObCsQuoa1VkkxZd5SUhCQmXoIzlw+pyTZtNSspTnI6DHaiXzPWkDlWFPp7PlK\nYzkJcbezkt/L72yy0Vxj+Z51Q6DI0Sbozfu1asWvfvWrD69NMb/nPe95eJ33tJ2kxISQHjBHiDgA\nZy73O/WCm7nUA2Rc7d/KeyIcy0x/OOTeMALP1IE5vn096nPY9qJs/j7jgGkCPO/DngxDi3jR2bLn\ngZyVfW5R9HxjlnL+qRp2C+1BA+7nmkpDaabv/UjZIwo47GuYA5ZiOFcykE2vU9bGelHmurZK7Gty\naqsh/rzldDqdP/axjx2v8XPGBUMLxsgIKRRrLQKsmo84nCwdQriujTEi0GmbFjLAdIrN/y1tTSxC\nSMzu1trJcBpkGBrvE60p89ysD2dDE7GvR4fNNiooHW8tqSzNlGMwsGzDXWSEiFY1S0asldC36Wb6\nvulFwzSS8WaVxS1vFo1h78fUYWSE7d+1Cq1bqslS2gIe6whAz8NSXfa7FI20VHa7Z0iv2xqwYhyi\nR6Asi4lFHK1alApPLM2X79n9UbbBou/0m/u3rCisIf7e80XzTPjVj3zkI3M+n7/t4ncV8aKbzgk1\nAB3l2y0cT2kd4w4xEDIphv3g7OA+xNrAGA6FMEttafY2jghfZYZl2/+NxtMShxqonLhp9kYmz9QM\nWjO+yUixtkV0mLbAaktppsG+jXniQrL0Kc3DNgLI0GmrSs2gavspksJt16EZTeblk566BZNo1bA2\nr7QOb6VoIJZ9cy4oImFGj9GfGKaHrtdGSFJMd7dA7XZem4pCM4DM6KGqatPXVjBA69Wink1x1gwX\nQ5kD1rahon1sAH8rSnqqmmQfh89ePC2FQQoZW3aQtWSEFvVp2bWb3lG3EBiatESM20CgzWbYDtq8\n5hWa4UvgSKt4oRSpGRVWCJBCkdL9vZZZmYDaxiHU0nQY7QSBuFui4fx+y6VkRIetoWOHeArd0/4O\nkQHbwWNCmCpzksgoMB1jayCjlqaLUvK9Fj9puogi+FaMQ9HyfT0rXDFw9iGW7jQwNjlqe620a4oc\nlNRL5tSYU0lGz9bxBBtpz0tz8Mmx2kIOp9F+2NlCv9WmJ6047qlirj9u2iqEcrPsNAzhDgwzQKzs\nOwdOnv3GglEl117oVEJvUZFcjIkLeOWVVy4+RymejUfL38rmy1ZNlveez8UMJYtkpSQGYTdnpXLz\nrXAzXfbyyy8/vKY52f/P6+10Z64JS/HkGHJe9/XSaMxr53gMW5Drfa8b6jCwJe8j95PRKFA1rBFI\nUqP7mcv7zcbwe47z/4mT2diyr3zlKw+vc99mo++Nn6TDaxv2ud8tak18fFthJ74t1w2BrGcun1N+\n3/jkDONF+seKcagCzTjCaA/PsHFq0BCDJuRY216/LR4w5yXX68ab5u/mve+1RxAZK+Ch/bTXF/HT\n2d4y8nAqGDM4T4oZaHntnFcr3LKOGpRpybPz1VdfvfgOpXe3Htg4vS13hfH6xCc+cby+eK8tC83v\nEceRYVwMdEfkhuZpWQStSWdsA6HFj5E1blE8Gtu+PnlNht0y74DGYOFlA8jSxraIUFuZl9ezKA0Z\n+sZaTkSkFqHK69m6trXSpkOaCKal581Ao7S0Xc/wVeTlW6Sa5qjFm95a/UjPmtJ6MxwRtXVI9DX7\nPcMVUeWbrfGWtZyyGhYht3VNOtoirwSUN4Z7wwXnb1lKjCKGNtY2LZeS97SdcGpob2cxjceixBaJ\npOdkVY23VJBTxfEeg6VIj/H92I/92P1jvI4Jtv506TkYw3qrcCmsbfge6+FEG3ErT8rrG9koHc7b\ne6EQtYEPbcOSAWmKoVVOTZunLbbZ6KBsw90GyCRuH3tOFm0l/qq89n5mVEbegsCNysHwM7QGLG1F\nuJH9HbqGrZVGKc70HFWE4TSgsLH2U7VuW8llHQ9IR7RkkLZeqSXSTEfaucfaEvkSYaYdzm2vWHIa\ndvSdOPJsHsxpayEgDZ2QYbzMYSKeSqsWtapGigwbLo/WpRm+LZ1K69S3dD2EhWy7HBxyV4bXcdPW\n1qf18Cg/a5VqJtQWw6gcDDRJ+CNrQUGbqMWPmQIhj2CGS2yNSJZaX+x7yrSJARYJe7KfXypjUmKb\nv4zKnbfxR8aRlbIbWJyKNOw7pJCsZRBVH83M/NZv/dbD63zubd8/a1pPY9iUFoTvsWrRFjNDWCuL\nuGQ0wHBTdji07ObmYNAYKNLc4lKNRoEiTzOXe4s4poz/0HjnqDrWyv2tP6DxwR2y6YiolUyLdzSH\noo1K5biJdX5fozWqU1oSUWuVQ+vaaEiognNfz5x1igq2+qItNLHMlkFmZu7M8Domam9eUsabpZdA\njxa6bit1iGV8X48OEYtK5f1mbnsfUKl0jM+s5dei8LKB+omPaW8i6mO3x0qew57XfJ55jY0FIwMm\nx2fcX+YNUbpzKxpK8RhQNZ9ty2Fj6c7cG7ZeX3zxxYfXOXeW3sr1kevalJHxQ9GBbFV1xNGzv0eK\ndM8XFWW0kdxbDKp2rAZ7oGrfGT/gUyga0JLCmkFFUc+tl1oCVZpXi+DQfBlBMoH4928ZpIICBlZV\nTYaqGUpEFttee3/PolfkmBpdCZ1Hlp6ne9jfs4hvnquEx9y4sJxLq/R/bG/dleF1LAYDd9vmpYfa\nslxb1RMR8hmoPGUfNtSCKDeEYbeMlJTC30aGZ3NEirUlPzXjI8dnxKH5PRrDDPfps3QIeZY7mkll\n/OZppZhiTgVgNAWE72kPWas6a6uEyeC2wpUUi8zkHBv42SqTKNLcRgbaVKpFJlusTuoFeu57XtMA\nynVjqVlrD0btl/ZepcyBHejWro2u3VKKWLqfsLtWtUyYUEtjWt9eWm+GR6NIrkFkUudZhJx06P5c\ne8ZSpsaaUNMZtt8zaIKtjxRyBIlbboZhIhb1vCZ3ZXiR0UILwfLP9Hfj27FwMD0QI/C0w5DIUK08\nn7A6hgOiCNwM9700JUaL3iIzdniRAjG8BHWQn+EKHwsvE6DSPFOjfKAU2xYaU8uLdAvnklFptNG+\nJpU3w8Z4G8Vo+auMN6htBdSSNxJB776HhnB2xqMLh5ihat8nvWdVrjavVnF9bWz7O6Yb6dBtqUL2\n/DcNnI1I1hyStriEnOO9pmhebX3RPVlLNuuXeovhS3PUUga1RVxmHFkEjfRjy/9ma++pahl0TEjb\nRHQvnjQeMp1kBxSVRe+FTmBXM3paVmNSpO2BYsUIlg40PqwU8mCsATcpsT0PbVQqJed1V+dkqrZl\nz28Zq0nJGteWpYLoHm3d5PM0PCClgszbNoOlqfozZW6p8ZS839ZAsC4TTdXgHp/pAeKlslRX7q1d\nhp5zkddIB8y4rCyiRAej7S0ybvc1iCpnr6+cV4vQphNtjgsVnuwzgyLXdn7Q7xpzuhkp5Kjte6fM\nQ66bnTEhQ84cUaIwmuGs0p5XGqsVe5Gh1HKE7bOFnq1VfpKe2vdHrb7a6s5D7srwOiZ0hwjJQNj5\nWQL6Ujprhq1fa0ra0hS0ZIQkO6JHh+lewPseD7EqHgsP08YmHNH+HBm3M4yDsAiO4fwsZXrIfhZU\n0Wb8MSnmbbeHPQFQLTVrDdAJs2FRT6vmowOe+vzt8eW40zieuTSeKX2xr0cVVTMd7YQZy5bioUPJ\nOLRSme/nRDhL4vTa3zEOQKr8tHsyvUQpYYt25PWs/yTx0xnkg5ol7+u10cdWZ1GhyZ5/wghtfUGp\n0NRtW/eQ4WtEn0YYS87e1oGUMrVnQTpmzwN9ztrH5TU2NCR1Ku1v45OzojyLms3cmeF1TI4tECs5\nJQCdhY0pD2zs7RaRoFSV8VLR3y23nQtmj5WUrFnt5rk182oHtdFEtAzYZOy2rVpsXilfbx6Z3VML\ngKey+RaPY+uagPIGFDZ8FTHA57WNmDPHuh0DUuB7j+T3WpxlC65vlX7L+0d6as8/VehahIoMJduD\nLTeZFSLRWjZgdf4u4S/32AngvK9Bv7PHRD0KDetJjvZMxxG2v9dW4ZKhZNFyi75Qiq2N9lnvzccq\n++gah1i6Ln/HSHStCp2qdS0LQdHbFkN7yF0ZXoeiMCvbFBJxHBneiBb3/hy9ZyXXZiTm96hPn5Xb\nGraDaAraZq9bUhHSYrSqD2rUOsPAUsNXpVj6lF5vIaPaUgzUyWB/zloVNUzZFiG0Klxar9ZX0lJB\nzfq3Z2aFGBbhS6HG8ra3KIViEV7DQ1F15x4DzZEdZPm7lmqkw9l0llW+pdjaa7ijWjLnJuK/x7PH\n0JJstnoux2SYLHKuLd3cfq4llE6xKD0ZW3ZmWOqyIefe89VyFJJ+NRoeM/rJwbBnSylmc1ivyV0Z\nXody2MoucRCZpmjxVRZeNs6YlNZ7Ia+wZQK3TUgg5L0oiFXa8vV0WNk1CJg9cznnBpqn0l6LNNiB\nR9Qjeb2Nh6Kog1X0EIP8DEdMzOhvcWE59tbbzjnaY82WGTmvm3KDlHEaQKakc14N42Xz3xoc5PAY\nboT2oEWbLCpC39kKmyp5rUqMqgjN+SGs1R47GX9bmojSHh+l/2Y42mc62Yx5Wx+HbN1BDn6brbAI\nWv6W3RM9p43BbUm3U/J3zfg2SpFMf7aVkPSeOSumA1Pavp7khFuBRYrhSK/JXRlex0PZCzMP5Hw4\nezE21TDmHRsI/JaWLoY3Iu8jx2eNUduUpAGm6eC2Q5ws/bbLu3GytEBVe07E35bGnxUStH09244A\npuDIyDBjuWXDTgVJ1aszl0ZQYq0s2kEh/D1W8vLbQow9BuI625+j+TdPl9a/RVKMPT/FoqM0LzYP\n1KDdDFUDTKdQus3EcIyUGreDy9LzbXeLpvrXokPtWWDrmtKaRmmUn8u9aU446bw9Bko9z/QNqglb\nSen9LbZnmorJa2Oiv7cGdwo5w20k9+E39N3vMDmMFuMuSk+8VXbtQkrZUTdKY5rRY6FdMjIs3XML\nx4gtHvJYzOCw69F3TDkRTsZSXaYUG2oCo3+wwznFmOsbg2qPlYhft5Axaem7li36+eefv3rtGW5I\nnJ8zItlW4dqaokpB615AFYpG0WCOAtGztMaRGem0Ds1Qsuo7AzKTmFPZtlNJoX3bprD2/BN/mGUy\nKHpiLecMv0djtXR/ivUqpTEY1s0i3xRtMpyZOeEpBD7f32mB+yn2bG+hamn3N8EerIDqmtyV4XVM\nQlvybqHdRqHNMFhwR0Uo9LxTYlRNaWlResD2cC1snweg5evzc3kfxq+Srw2PRkbxTmFRqsp4wYhw\ndo/PqvlSMn1nLVMoTL5B5aSENqiclKy1RKIqtpbk0dIA2UrJqlTJkDMllrL3ILGWWyssK43P3yW2\n9e3c5UGW1XctHmqvw+yoYFVn5ETkGtgGbd6T6ZjcawnRMMzYLZGZfH42VssAULrM2pxRleseHxkc\n27nI/Znjs7ZwtqZa7iiqULd2bxYNS2koa2ZYF5mBRgUp5gzfkgUyvk6DBTSYMXPCDVdnBunMnRle\nxwK01IEtsjbnnNKCD1NakK5VpzUbzJRJLhiLzlkqgjZ8C2xvcQKEjZrxlApdjw7qGY5C2Ian6ElL\nnLhTMuRVt5WHLcbIvELyBC0qYoB1ihqYUUHEtFuIWNOY2FtC3IZUeaZ7Fvt3TS8RH5a1IKI1alQh\n5GjMsGO1hQxzS+PTPjPaHNOvtLesUrPl/WuvTSlEqxo3Q5WM0/05ogcx55pA6pb9sIgvFQyYfqWx\ntp08LLPSppRb6hfTqbfIY2TCd2V4kZKkUKXl1Knqz8CHFtptubvoO23Y3lIytIkMr2KGXOsF0KZq\nqSqs5Jd+1zrX28FKxptRUKSYoUqy78mcgxQyXFu8nUU7yAkxrEhycu2xNaklC8e36TvCUM2wk2MG\nOxkF1jKlNerMSGxaLO3P0Rzt+aICEjt028rKds1TVLeNvhgrvumihoZnf68pZNpjp7Pk2phIKC1t\n+CCKzpk+bCtRU2wN2Fjt2dDfaS4tSm/BDcLhbqOfYB5WHNdShTyVqUYLGbaAStrkVj5qUQzy8MxA\nS2lLjY2Jl8ZtIe42bWWYpYY41DZH8/eZPudvYP+8d6ootEa+LW7NjB6KMNkmJ+VkpdQpVohh0b68\nJ6tio7G2dAZW2drQlez3COcxwykQ6j6xP2f7ru0IQPrHwPopLW7KqHLIQbE0fooZMxRp2/dHeqrV\n4/tzxFpuDgVFvIxQ2lqtkcFhhKBGbWPcdTRWgkRYMY5V8LcgfHLAzDFromQzPbVQij3P1IltdJT2\nU1vZ+nAdffc7TI6Jt+ooS4nle5n/z1SSAf8sdUCREDN66B5mOCJkTVzznuzgafsk0n3YIqP5Ny/O\nqpSodNx6vhkAnpiHDZBP6QtbX1ahRUaUKfCWd4gqBY1k0CIzRI7bRkWI5mN/ziK5NL6tINu2JhQt\nMuVLHralO9vIphmTFAGwKCWtcetpZ2X3BGHYc0TdFajB+x6rFQzk2iFew30NSzPR4Wp0BikGwidu\nRIvkGrCdDBiL5tDBv/Fo5MQlnnOGMb42/7RPjOzV5p8MtFu5tqioxcbaQFVmnrJejcfhapGZnIAN\nas6HkKXxLcOuNT6mg7aN9NimTGmjaUZZQN6oYeceAwvSmK5da6b3CpvU4AxHY4ytmIxJI9qzjUys\n2YaXsH6DNL68V/Oi872tSKlJtoXjLdJASsjaatBaSfD6DONVDDNmBh+1zCLFPsOGr+1Bq2qka9uY\nKGJvGCMzEOywpzFQZHmGo0At7YRV+OZvGd1Ly5j/WCro2ndo/ZujkK93+7J8blY0RSnFHI9FvAzg\nTzp+zzEZ320Veru3WuJiiyi1aVFyvIkaZ4sFDB5zuu7K8Dompw1BWusRapNiDLTGYZPvWZkpeapm\nWVO0yNISVoFJ82Uh1rYvFW0OS7dZg2q6J/PwjBqCnrUdkhQJMc4rIhLc17coC0UADN9DofpNSprr\n3ypWU4y4kqJctr4oMmnp4RQrBDBuLMJAmVNDCtgiubdGeVMa+pOWH6rFA1p0yKpKadwWGSCnxu7J\nrkcpO2OXJ31tDn6KRWZSrFrUrpdCEcd9bYrmmAFqa9KKNFLI0KeK4xleA2bMmA4ko3h/jva+9S1t\n1k0jd2V4NQrY8s+kXCzdQxEOw8IYP04bRSIeL6MfyAifVWmQEjP8RVtGTsppb9Y0WtpejZa+o43T\n8lcZYJ0Yog1Ua/3kKA1m1afW8DqFlL5FOyzN1OI0GoydRdOswIIi2nsMuR9aVvWUnCOrvrP1RYbO\nnleiuzASY9JF+16tp2YKGWhWDGJpfMLz5ef2Gm+JPkmvmIFmVXoppAMtotcST5sjQ8+wxVcR1dEM\nN4A2+o0UKyxIMYhM28qvrS4kFoAWLmOOWooB/MlxtxTuNbkrw+uY4DZ9ZKXeLR8HLQRTaBYSJaVt\n4E8K2xvZpYXtSYyewnBA9J2WXbulMzADuVWeJFbZSl6c4ZwsekKAdTvwiH7A+LQs6klRQavIMj6m\nFNpne70S6NfSdzavbTUZiUVoUyzNZC16UiiqsQ/dhhbAuOpSjNfQCkgogtniXNPY2mMlDKFhvAzf\n00oD+TDHyhxW4qyyyIzp9RSa/00HQmtvz6s5nClpyBkpaUrLr0ljaOmNtlCkcxuntI7MSKRgxM4o\nPFWpxuNG98Om6iFbFOSJ74OajJm2Qsss5lvKzQnrM3O5eCxkS8ZRW81kn6PrmZHS4syMhZuiFZZe\nofSpYeLatImBu4mOoD3EW76j/L5hCFsHINebea1p5JEhuL9zC57QCmGsEqwphLHDIWUfznRoWtm9\nUZQ0qfH9nZYUs8XCEBZpH+4NmNqgBIZZah0o6je4Da2MIOd3TBc1DPL7GtSXdY/PKgrJIbAsBO19\nc1gt1dtiaCnCZLhIGs8tFZN2DTPkyBE1PFrOpUVyr8ldGV7HBO/NS6kgC/OSh2HeXn7OUhEWZqTo\nnIXtqWCgTYeYMWkebMsAnEIHlJX+W3SBjD+rIjFma5p/Ip3c/zcDjbw6g+ZAGgAAIABJREFUO0xz\nzi0aQFQmdkBZo+6UdqyW5jOMEP2dcFi7STmlYw3fY79LB2i7rin6uK9nUbyWm4zGZB419d7cUc/E\nIRrfFzWnb9P4lpqluTRnxVKI1Htz60qCp7QOqxk91BWldRS2EBTAjG/Sc+YAW4sxSuG2xpFliygq\nuO+JfnefH6RTDWvbFmW0OL/Hou93ZXgdN71vkhoS2wOmDWphe2oZsf9v6RWqJttCxlu2+TBeEtpQ\nM5fzZ9gCCle3bSLs2rTBtmdF0UwDy9qiJ+/dPOq2UpPSYBbNNLLXnLM8/OggnOl7SRLfUdt/0oQ4\ndmy+0giwatG2msl4fnKO2ugvMbsbds4OZ7qeOT8tmJdaXO393OoLwq8azpUiidaKiQyWLa0TmIZm\nS7Rq+NwW2E4OT1voY1GWFDNSKJJozjo9v/1bVEi2P0cdP8y5s/3dOkmtPUDfIaz0zOX6SHvA4E/X\n5K4Mr4ZioS2LNmOLvtMSrdrhlb/VKhfiENqbaAP86HcoarAVblvxSERyxo9Gz3JTCVAzWwN35xzv\n6EmjtM1wI0yKifVyMwB2KvDEEJDhPMPRMCsYyDm3kLkVUeS6zLHm72x6F4ogGykmGU1bTEkTnYdV\nd5LxZ5gZM+ZbwHr+n4x0o7aha81crg+L5lNkwEDgRGez1yEZR1YFnetoFxgRhYFFryxCnkLOsDmL\nhhnL7+XvWvsmWvNtda0ZoFZ5SEaeOeFkwFgLNauapeKqvaYID7jPeTpPbnFYDXZyTe7K8DoWhlnZ\npvjyQVLoej8cmmhTIGagUfi1TU/mve4DncK52QB35vKgNY4XAuhvZdeUr1tVV37O0sgWSczrv/ba\na1e/c+17hxgujJ6nbeQczxtvvHHxOTq89r0ToDVlG0CUWtprhUL1+zllJCrv45lnnrk6nhlWOhb9\nta4QeUAZlIAOUEsHEh5nzwPhVSw6lO9Ztajhpuh3rVl7ih3I1B9wG8jJeWjFJTQOaxif957vZWR/\n/y5FNPb3Usfs55RjNUMnhSAHW1ocFjkU1kicDITNEfbss88+vP76179+9Voz7Nia82mV9XQ9Oh9n\nemB7Xtuqxgmr2VZim4NPetiieNfkrgyvQ1rOkv05UtoGAM4JzE3dVisatilf74OxYePfD5cqOLYS\ny01Kynz/rhkBpHCNKJTuwzADVhpMFT77c3mPVI6910Cum7wPI3mkSMpM38CWDm7DYqR885vffHht\nKXTit9u/+853vvPh9b53MqLyenmAz1zee75nKSwz0gncbQ4FYX1aypRbI160ri0ln896R3JTCDe1\n7ynv10hJbyE7zmu3/G85hhaXuo30dDItdZm/1RofbaEJPVvjp8s1useav0WZlb2/cx5sz6Rusi4H\nFOWyzA+RuLZN3U3yd+zMNshBnoMEQbFKf4v8PVXg+uOhGBaJDtaZywdEBpptePOiiULCSsotDJ1C\nhlxLvLjHQOF9W2TmvRP2xIyKlLapdYtxITzCDHcfIO9shlNBht1qKw8NlE4RnLbFkilzMrb2GqC5\nbLFgBkTP9UXtrmaY3NaiUlaZRPdO0e39W4atobHu9UqRMQNgW1SQvmMpFCoyMDoPq5RNsdRSChkw\ntmeMv4qe094n2cmBIAOWcqXDfX/OdHxbAUvwgZZLzIo8zICkMVkksdFZLb2RRRWtd3CK0XnQczdO\nQfq+pTuvyV0ZXsfDs4dt5ai0CSxfTB6npTENR0StIVov3w4eYjo3Q9VKiAmYaIcuRd2Moyplbw4C\nB7cl9HusNOeG12qrbloSXeKPsRS6RVFTSFEY55s5Cjm+TFFnNM3G117bUgK3sJbbHrQIE12bjKh2\nvbbzb4YcVaeZzqI53tczo9rgCPS7pOdaYLUB260PbZNGtnGnWLWinTMUtdn31Oq2FDoX2uhqm61o\nnUozOMhJ3c41rVFLd7ZEq5bqJbvB1iFRe7QV1ofcleF1TIKlAdJrtRDkY+C3Q8j63cYfPSwzOKjy\nZF+vxU0RlcBONWZ0wbiLiHLDeLwogrZxC5m6tHLzthAgv5f3u7EPKVR1Y1FPEzpErF9nrtGWXNLW\nbq7/9Or3vFK1oVFkmHdMCpeqUmfYQDDDy4x+cg5M0VNUZBtk1Oh578GGlHGGOQF3lKWJINuBYh4/\nRTqNe9AIbHPseW07/FIMt9OSDlOk/zEm8Wvft04SlimgedhCKcCtrykyZqlBcsINnmLPhs6dNuJr\nxWwU9W+r9rcQFMNS4ynGAWi8YClPVarxWGi3MtqSgrPoBAGU7SAzA48WYHu4Gx6N8FoGALaFREq7\nZcq2KBkZOoabssVMIF1jn6aNY8/CvPe835blnaqwbHy24dvD1EDSKTkXdjCSArf0sEVEm2u3YzDl\nSVGfPV9k+JrHb5F0Wv/7c3QImDHaGpNtuT+JVX7SvbecdhZFsswD7W+r5qN0uBkIxo1F54nNq0Xx\naH3kd9rKSjO+DUPbRqfJKTEcKekpK0wjCMoMpx6NoJp0vjlMFsV7qloGHTdtm9KwCk2ZdUuI2CoQ\nI/o0sVA2/d2iCzQGC1eTom+JQ60KiPBylg4xBU7Mz7YhKJRtGBfjBqKIhBkV9pwIw2HGX0M/sN+z\nNUCUA4bzo8jAVpD0uX1P+Z6NocXBkaHfphhS9lhpXVukrsWY0u+28AgjmrRIFqV1rEqM1lRrJLbz\nYJQDLVC+rUIkJ8kcMHPC6XctS0LXNhwdRa0f+14KFQmY85O6w/B7FJm0PpApbesqwzCnGJabAjZb\nHisSuCvD65gESx0Ys7ilH/ZvHEIUBhYGNeqFWwDYxOe0S7NpcdsCttQlHXKWCqLXtjmsnxY1Q7WS\n5JaBmZS5PVvziFPafmvWJJu8RzM+Wt6z5pnNcErFlE6md9vG08T/NnN5T3mNFrO0fzdTsFRNaWkm\nO3hSzJCjSMPWS5TubykQDABMz9YMCRsr0VNY9TYRjG692fLnUWTMsLb0PPe6oarZPR6a1xaIfgtm\n6dbULJ2DFh1qOzKQ0WMGu7ES0Hv7ObUOBfUQpbNp5rKa+JZK/4fr6rvfYXJMnKW6cpHtQ4RA5bd4\nhftwoMiYATRbEkRa6BsLQDl1A8tS6f8MR9Csko4OKFuIxm7eHs5ELGt4tFuId1P2RqaD1qJSVtFG\nVX9G+EjGkUVereQ9D1Pz9qhLgfGUUW/R7ZXTYWORnvwtM2ZyXs2oblvWUNTGjMQUS/e34G6qgmsz\nAJYWze+YIU3GQhthaVM35njkGLa+IOeFIsszrDvMYbKDn8ZgEUf6+620B6SLLEJr1aJ5v+R8WgrR\nUrh0bUvPW7qfMJjG65l6xZ7tUxXxOiak5XraQkrMDIT8LWrAuq9nwD86ELYH25CrPkbSdu1a+3ft\nYCQlZLQHbVsHijwZZsA2ET1PAwoTVYixENuctxWdhAExw6tNUdMaNyVm1UN5DeqMMMN8QAZCttYj\nKS1mg+arZSNvq7+sewRV8+2oCEXfjUqDqozN+LCICxkShjW06HRDt2BrzSK0rTFD0bC2K4c5TLQG\nzJBoI2MG6s+9lY6CwRlIn1maz6K3lO43wDqB4W3fphjkw75PZ3ZbfUqFL/t6llV6qiJexySY92je\ne36OGsQaIVxLdGgeASmQltk9xXAQ6eFZpMGq6khJmhFARpiB6y190eIlKOpmEcy2ryEppLYsektD\n4LmF5qH1+NvIjEXxck3tatGmUtaUEzX1neH0xXZWqIjBDrwWVE7KfEtr+FLkZx+6TWWeseLb4UDv\n2YFnVXoWaT5kpxBzHZnR00bPyVEzfUEQjW1UUA9Gc0RTDDNmxgxFosxAIHyujekWw9fWFKWOrdAh\n72OvFSpus4yOVWIbDOIQg8ikbHJoc1Jn7szwOqQFXhovEjHVWn7dPkcA8ZZryIwjIi81D8U2Bymd\nFoe1hebIDISUFutmhyRhRVq+NQP40/j2wU/UFxZ2tqo/ikZSan2P3QCt9F6bGjc2eDrQbY23fUst\ngkP8WuaV07j3QUYVnVvBUuTPuhIYvocwbbYfaR5aw7K9dtvw2qKmBMuw6mbDJOb9PkZiee07hkWi\nNFiLMbJ1aJXdZGRYlJ6it/uZWSESiRWu0P3aGqczaGOYyZi0MVDHjxkuljOjldaKRVSvyV0ZXpRq\nJEXa0vgb5xJ9zsLxbbjaIj10IFuYne7PQrumaOh6hlmi+2srT4wXyYwZem7tPaW00aGW+sLWq603\neq99ZpZGaMljb1FIFN4379gqVsn4M4wXUVrs6xnfXQpVaBlmyQ61WwwJSp9aatyi6vRsttGZh4rd\nLxkmberf9AW9ZxHfZq/v691C2mkQAft7/q5lHprKVnOsDAbTdqMgg8MojZpU3r62ORctBU6KRf3p\nc1aER8UuLR3Uw2/8iT795yzHg9wbqmGgtfdoQ81wtMMeonm6LRcPeY8WQaAw716kO4RLYyAltO+p\n4ezZ3yHcjnkl6S3v77eeYPPc97ySgtuHEOHgDNtkGASSNpppkcR8L+fV0nxGp0JpD2sYTwaMEYJa\nepiiLGYgp7Flhy5hO8zTNQwOrcOWxNKcNoqUWum/HSLEd9RybZk+pKhUu2+tKMmiIlbQc4hhie0s\naA20NlNDOr+lAmrJr835oTG0aV9yIPb1jAKH9lZbrdvuwZbaxu79qWSut2pFE7JqbRNR9ZCFje1z\nbeqM+EyMG6sFFbaYpRRTIFTRZgqyxVVQTy7zMFoywhRTDASCNX4oA6/TvNwCJrVoThpUu6qrregk\nA3nPK1U8pmGzv0OAboMI2GFDc2lpbvL427R7SzmwhTChVtVLOKD2QGlTXa1BZZELiqi23F8GWE/Z\n99QC4Bvnx0DbKXt/UzGHNZ62jiv0DNuKvWZse3xWuW7M9Y0xaalUIzOnwIk5CqaHKW1ubAMEn7Fr\nX5O7MryOBbmVnUWsUkjREz5ohpnmTTm11Satt0DKwDabeSVUYdKCn7cCIWPL8EttCpGIW43Oww5x\nMuTMK2/C5/tzlgagTWmeYJMm3+MzBUls0ZbiMWONDrk0/m7FurVh/HZNkfFgEei2croFTJO+MAC2\nGekpbTSNDjJrRWZEypSytkh1O69t+x9KLdkBSoUdpuOtkIb2ahvF29hRS68fsue+dazIeNjfIVoS\nI1JuCaXpbDGn0mhlyDi1oAo5P3uf0RwZlvia3JXhdTyUFrdjnyMQ5t5E5InsBUcRNGviSriY/R4p\nz/0dUjrbUKUqmZY7pw3BGz8aARMNsG5YpFTMaZRZqJgiKWaAGuUArQED6bZYHcJYbHA9RT0t9G04\nCEpzt+X5hl8iI9E+Z/dEERcD9VMZvzkrbWrQDvG2oTrprBa70oLr7Z7osLHDnmgF9p5pqUKISNkc\nDztAyXhoI+mGCyOdajjelpqACJfbrIZF8dqOK23hUEs6TM6FRX9zPeyCDdKphmEjw96qkU3HPyZ3\nZXgdCz/ZY2f6PmqkoFovxyJrtNDtgeTvmldCi7H1eq3yzSQXHbFS7/9T1MGwQ6SwZzjNasZMy0tF\nhqHNjx1krZfZRiSaCM5e0w0p4BZLWWRlUR48hgck7iID+LdGQZvKM6JPioha5Kk9yNqCgbaCjObo\nludpY205AVNMtxk9RQpFBuw7doDSM7Soc4NN2/+3VFdTEDHD92EOMK2HWw2qtr9pc+39Hs2rRcna\nrJL1VaWItnUOIL1plbsGffn/RaqxBcoTb0fLIXRLU+stpBhapdgC/yzS8FgY9Nr17TukxGyDkuds\nnps1/m4rNWn+LOKSYhVVOabWgyXg+L4GRTvadIhVPdnhnC2qrDyf5szWOB0IVlXaHghW2EHGkaU7\n6YDazzafYXvgtUZKa/xZqj2lTV+36WZ6TqazyEhp14rNlxlRNC+Gt2tTg0SSbXg0+xxhmI0qgeay\nTdOaY9Wy7NOeMQybOT8pLS7YnH/KXpjR1GR3Hhv7zJ0ZXseNGhDd0gU5OUncl4fLXuRpoGXkaG82\nYnlvKwCNrZj6zhlg9BaS09aQa8lQ2/5c+X1rBUSGzR6fzWtDkWEhbqMeyTHk89tko20Klzw360fa\n8OjMcCRqz2tGl9/ylrfg7xJIvT38TNlRKtoiHxmp2zQRhO0zvCM5P4YdMgxIrgnDv5Dha4qdqkX3\nPX3zm9+8+p5VIFt6q1lT+/5SpxqGk9Luhomjop+ZjvrC1mTO187A5LXNqWyrA3P9fv3rX786hv1s\n85nlPFikNX8n18a+nkWb8nOZArR5IKfLGqCb0Ul71fqb0vmxnwtVXxtZ+zW5K8PrmJydOkt6hNyw\nRtZH4EqLDlET3n1tK2GlQ2QfeMSSnJ/b93dL6qw1qOxwTqFUUOvxt62Y2v6TRj1CVAeWYqCx7fEZ\nbq2lBSCDtgX4Gxi7rdDKsRNB7EyXwjX6Bxtb7m+KKM1w49y9T/J65G1vRUpGhdFqmIFAh8A+RNoW\nMSmUNjFDyaKKltpOaQwJ40WyeaUip5aNf1+P1rJVbZJzbdhTi/gSbnDPPwUJDHRPuGVLSVIabYsV\nRFBGwNYNpQNNX5jTRmOwxt9kA2wDyhqOpzwG57krw+uYUDMQUlojKsUONepxuMfQMj8bqJ8s67bX\nmW0OimQZ7YGlGKhIwDAkLTCR0mqGg2gNaWotZGlR44mjg9YOB4u0UZrV5qE9RFqgNq0B44RKaeeB\ngPb7PQP2EkB23zsZ3LbG6aC1MvKWWTzHbZQDtFaszZbtszY6Tc7UjkiQgWwGaHuY0j0Zh1kbuaD1\nZVEMg1HQ57ZTSW3djGsrD37T8bRPTGeZ0Ofaal1L5TX7cf8/9eFmuDecWIpFbw8x7JaB8J8qw+t4\nkKaY8yFsolA6xO3h0CHZ9j/cnm1T/TXDEStKfdq1DZ9lG4IWj3n5bZl8ikXGUix8m3NhLNz5XnqS\nGWbfUYeWpqAtxKColClPOvyMy816kREOyBRzG7bPOU8P3dK+5pmaMk6hSsG2mMTSIcSIbtH3FDvE\nrbiBolItrUyKrS9qS7Y/Z1XVpGdsT5P+2fdkERj6LYugkT6yCBWlQo2yJsWqy81JIgPZ1nVLft1G\n3W5JB1Kgw3BhFNncnzOm/xbD3PYVpjGY0fpY8cxdGV4NmSOV/O7/58bOQ9eMmUxZmAdl5c75Xm5e\n85xpwVmq0TZoHppvvPHGw+t9aJDHvg+RvF7On0W8KOq2558Ow329HPu3vvWth9cb30Pzn/NlBh6V\nds8wFq9N3Viab2MuDtl7Ij+XmKyNM6Px7TXw+uuvP7zOZ7M/l9dIY+sb3/jG1b/PXB48ZtTl2I3h\nPt+z6l8yMoyIOcduBRZtmjXHkNemRt8zfPBbQYrtW0qvG+VDjmFHcEgHZgPh/Z3cn7lW3va2t118\nLtd17jsrgqC+mTMdJYIZllbAQNHb7XhQUUVLpUE4rpnLZ5G4sD2viU8zA5n2nWWfqIDNMF4G+aD3\n9poiAu2NG6TUqhm0tPf3WnmsqvH0WKjxdDr9y5n5gZl59Xw+/7Unf/vvZua/nJmvPfnYR8/n8//5\n5L2fmJl/NDP/cWb+8fl8/ndP/v43ZuZfzcxfmplfPJ/P/+TJ3//izPzszPz1mXl9Zn7wfD5/8co4\nzp/85CdnxpWYea3kzdCBOcNek1U/tjwnZj0392Qta2gDzPD9GrO43RN5mUZMm3ILGWQbITS8Fh1e\n+9oUbbLwcptuNmJIUrLWAoQiJMbGb/NKys4KCyjSZhWmFranw8sORtt3TXprG3/kUBgGxFj7KW24\nP0cRJktjphi8gva0Fe3YuiYoRl67BUzvw9TWR0rbBokORur8MOOGHI3ViJnbqt4GX2tdNOycISPD\ncFOmK2msLZbYMlGkX42Q1SLpNC+kH7Y0gYWPfvSjcz6fv22Sm4jX/zIz/9O8aRw9/ObM/PT5fP7p\n/ODpdPrumfnBmfnumXn3zPzy6XT64PnNEf7zmfmh8/n86dPp9Iun0+n7z+fzp2bmh2bm9fP5/MHT\n6fSDM/Pxmfn7dqNGJdC2vUkxD4rSR6ZIbaM04O6Zy4gC3ZN5sIarSDE8FG3efeA1hKy3AnbpO3Y9\nivzt92iOWiVtoFo78IjJu51/wyLRYWpRkRbg39IjUEGEGap2SBLfTkt7YM+JOMe2jqHxWCWq0X5Y\nuiaFMFo2Dy3wm9Lhtv7JGZjpiEjb7hjmWJm0tBPkhBOn1H7PIqrk8Bjlg+lr0qm2Dsmwt7G2MApL\n/ZMBQ3N87f8kBKNo051bqBCjnQeCNsw4FGOmMLzO5/N/OJ1Of/XKW9esmL89Mz9/Pp//cGa+cDqd\nfmdmvu90On1xZv7K+Xz+9JPP/ezM/J2Z+dTM/K2Z+adP/v5vZuaf0ViOyTZ2Z8NhNV5Au4m20MO2\nKhKjJqBNaUZFaySmmHIiL8x6bdEGs7kzADBd2wwOe5502FjUhxrT7kON2PMNAGwphhQ6lAywbgq3\nBZU3hqpdgw7WLRYZo/Sd8R0ZJoiMzjbyatVkdBhaNNMOpZQ2Utpi4ug9w4LdUrDRtlaxg4ycCKMz\nsPQWRe6M8JSoKrYQ3rfFIu3PUQTZKgCJSsN0UYph4qgoaYbXVLs3LTrassZTJMr69pL+tyIuwyT+\nWbYM+m9Op9N/MTO/NjM/fD6fvzEz75qZX43PfGnejHz94ZPXh7z85O/z5N/fn5k5n89/dDqdvnk6\nnd5+Pp/fmCXH4rJoh6UDG4JF80xtEzUpgRk+XA3ISUpizwOFtQ2s2ZYa298bMlpLHVCl4QxvWFOK\nxB8zw4eXHQ508OyD/xYlltI2Br6FgqJ1AIw40VJnTT85M76tUjMPEUs5UeTUMBuWLkihKkmLNBCR\n5gwfhpaGIePbIBWtEdYaRzlf1hGDYAZm1FlVI2HxLC3aEi5T1XhbNWu8f6azKHVmxgzN5Z5Xwvi2\nVftbWsgBfS4d0b1uiGjVwPX5uxs7SvrfziB67qaTCac58+2VlltuNbz++cz8909e/w8z8z/OmynD\nP1P51Kc+NTNvPoD3v//98/73v39meJFZTretfqHNsTdR4+3t/5vFTIeARXPa1CB5j7eMYYZByZZK\nJQ/KDtNW4VoIPiXv45bqzpYGww50W1NNVNaIPk3o2rYGUqG1eBWiGpnhSOIO06cSayuvjEqAopZG\nKdJGMcgBM+PIIm2UUrQoGaVNLJpveoB01l6v+dxa45si86a7aWz7cy3FD0UzDTvU9gxtIRW2B8lh\nsYg2XXuvV8IrWhTJMhlN4ZDhx8gIs7FuQ47mwjCOKS3O7Fo07Xd+53fmc5/7nJ4NMzcaXufz+dUY\nyP88M//Hk/++PDPvjY++Z96MdL385PX++/GdF2fmy6fT6S/MzFuuRbtmZn7gB35gZnwyKNWyv0fR\nIeMYSWlBhZaWs8OZFnALMKfIzgwT21nu3Xpt0UFmAGDayGZ4WQiYUiB22NA9teXIW9oWGQ1mY4Yp\nEYxwlubflLkdzoRVa/nD2lRq24C7jU5bVREpVovMtDQp5EyZcWTRjpQ8NC3VaPyANFbTRXRAmdFJ\neqqFf5geNuOP1sCefwO9H7L3AvWrNefHnM82fUoO5y372wpc8nNtanzLLWl8+n57xprxbeOmyKTt\n78dwwS+99NK89NJLD9f45V/+5bkmNxlep9Ppnefz+StP/vt3Z+b/evL6387Mz51Op5+eN1OIH5yZ\nT5/P5/PpdPrW6XT6vpn59Mz8g5n5mfjOP5w3U5R/b2b+Pf3uMYmt52CpuAx9pqKyQ9eq1sjoMU/L\niFEppWLKhA6oveBoMdrmtSgeXcOiOY+V2x5CXo5hjEyJkXLJaI7hpizqRmvPsDApdoi3USSqejU8\nlFGPED+arb3cT+aE5G/lWI1E1AosaI7M+aF9Yjgbwzk1zcL3fRgYPueZMD3Gsm9FC4btS2lbh9G4\nrWKPSvptL1j6lFKS7Zlh9CJtFS7NlxmJ+Z1N1UIZBZv/nBfTWRTlMkPJyHvpcxalz4i23RM5fnus\nrR5unG1zbA128ljm4VHD63Q6/fzM/M2ZeeZ0Ov3+vAmE/89Op9N/Mm9WN/7uzPxXMzPn8/kzp9Pp\nF2bmMzPzRzPz4fMf3/mH5006ib88b9JJfOrJ3//FzPzr0+n02/MmncTVisaZP77pPdF5aBq3Bhk6\nZmWTB2tRpLaaj/ox7t8lor02vGz8MYZHo4PMUgy0EdsKNEthWQThlhQPeaOGQ8nDwZjmTYmREjIa\nBYom2PoyXio6uPe9E8edRZ3ptZG9WtqdvFtTdpQWmuFIrHm6LSaODlOr5mtT4ym2bm65Rltg1Bpo\nVP1oFattetiwTbTm9+cap8ZoeCxSbRHpFIrOWUUtOd5WPGNGAEFzDJdqZxDNpc1X7k/TbbRvW4oT\ni/bR/jaokM2rPfeZeZzH6ztFTqfT+ad+6qdmxtNybWUMhff3ZiPvxQCoFgonsJ8ZiWQcWbqtrb6z\n+aJNYHNEQPm9EOmQs8iACWE7LOLVgtzJ+DNQrR2mdGgaPx2lbsxYs6buVFhgh+5+7iT0zCwCndK2\nWLLDxqIdtPfNSCTnxyI4FhWhqMFe/+TEmfFHDsA+8Ej3t9Vf+3NUgEAG8Qxj7FpcXkuTsiXXh1Xp\n0RjMATC9TmOl39lCz8LOApuTlqKEIsjm/LTOYotLbZ9tg+Hcv9satLSfyMH/yEc+Mucbeby+Y+SY\nHIue2EHWWMwGmk+lug8h8sLswZkCafiwWg4nq3hpQ8opFlq/JRxsUTe6Xsu3toU+Z+BWUrh2mBqP\nF61RU54ppoDoQDE28pSW4dtSjeTx2zq0iBcpcANqWwqdDra8h12VRPQuFqm2e6LvWCQ9hVoYzfA+\naSMItn8sLUq6iRyIGca6GRasLYRpixbaXoEtsSY999ZINN2WYs+C1oel28xhpYjXLWeLYTNbHC+l\nh2cu79249Ij+pzUSTcf/WdJJ/H8uZHhRNZJFO8woSGl7Y7VAVaoIMRwQXdvC/lb1RBE+UyZ2T1S2\n3QIl2zJy8/KJfqPF7JlBS5GGtiBib0pqldMqepuHNopHaQDDgND4a9hPAAAgAElEQVQz2/+/JTVl\nUQLan+ZYtQcZpUYMctAa1VZc0la90vq1A67F4JBuM6Oa0kL7/5Rq3OPJw8/A4qmnqAH3DNM8tBXu\nZqjeUpBle5UcmdYBM9A8OXSms0woumaGL/GemRPeQg6MfoZ0oKUN2+gcPQtzWK/JXRlehxe60yat\nMWMLhr6TkqDHnYenKIZhO9pDt+XnooW5P9eG91Pa6kfCFrRhfysESDFFah5xY5jYsyDaiv05iw5R\nBM2wZWQctXicNuKyx0o8aramCN9gBSRGqpi/ldc2rhyLJjepjb1v27ZRZLzdurfIqbF1QyD8fd8t\nvocOOSvPb4tByOA2A83unfZ+G7kwKAGllraOIsyR7UHru0hOnBmqbaEV3e8+3whUbhH3nAcitp3h\nrFIbzTcj3dZrE3yx88P27VNleB1A370pCfht+Jf8XBpUuz8XVdrsB5ULMw+E3ZiT+iS2BIs51tde\ne+3iO29961uvjtvSF1S1NsOb0jwWInk0TJx5/63CJYNjG+mNN7rni6oD91gpvL+fLa0piyBQyNyA\n49SAeOZyreR63U10s4n6b//2bz+8fumll/B36YDZJIO59ow4MZtk5z1twyv3hlFk5HPK9ZF731iz\nDbOU18tD5B3veMfF51599YGRR51FwgOaoUv7zsaaa37rzWxynZ/bupKasuczs72V82VcbvmcswH0\n/i07xEk/WuQ77ynHsA2lnL9c89/61rcuPkdFSZYOzDHk2bINpZwHalE2czmvxk2W95v3sc+3fB7k\nsLaYVyNcznVtRL75W3v95/dyf2ZD9lzT+738jpHCXpO7Atd//OMfnxnnxDHvnXLqLc/JY5N57XMW\n7WjxPRSl2d+heTDDy4xJos9oiUOtPNzSOnS9lLai8JYUpxl11quOnqdFT1KMl62JJsywV26Gryn9\nnJe2VQgZ7G2VpYX3WyyfccPRgWd7ruGo2u+1VXoWmSQwrwHyKSpr92RVYnQf+3oWsTrE9q3xfVHV\nmbXhaSNjxC5vY6VrzfBatrS0Oam0lo3eqE39ky6xgoE2gpbS4uMszddSC9F+svOtKQrY1zND9akC\n1x+TY4dNW8HRHBRbTJHSwrIQsFWHkIGQG8xC/cbdQlgY2/CmcKnazYyU9NBaQKUdtAS6brEdBoI1\nvFYKHXhWJdby/JBY+Dy/b6SkhtshBW7RZCqHt4M6pU3zWSoi11tboWhrII0169NH12tJHvczJ+Vu\nFW230JoYfxWR21p1MzUct/Xa6kOL5lsVYUrjRBvGi7BMM2xQtXxTRkVAEXdbA+Y0k6FjetPoPGi9\nWVSXxm1OiI2BbAAzvsnxMIeVzrCZx3kq78rwOibeqngM9NjgXwyM2l7bKqrokNuHEi1O26CpCNsS\naTO8aBPsg4wORuvpRRvCFKI1WqV8veXe6d4tCtwaYebVkcFn5f6k0PYaIEyD0XS0ZelGxmmRgkOM\n0sKM5ba6lp5H24DefrNl7m75jlqKjOawt0rgluvJHFaKYtvhTEU21sXBIuSUkjQ9bHurcYAto9By\nY7WfuyXzZJEsMur275iDnkJ60whsqWDAzm8TqpY2wmWK1O1xtLojxfbCY3JXhtcxCXuSCIPTeoJW\nAZUTT/isLYbBaRnu6UG2B7WR8LUbnrhbDFROisbuzxRzLm4DVFKYfI81oxUtGR6B//cYyBO3FGJL\n/pf30VZt0rVmLu/DKo7SWCL8zL4+GRx/8Ad/cPEd4pAzZd4Wl1jqsuGQs76ZluZoK9raQhgatxWk\nUIrZDKrWWTFDLqVtb5RiKW+qBLYKayMTbgDr1hrNopmWgqLrGZchOeiWWWmburfdSYgWxtYe/W7L\nItB2h7FiKNId+3v5nZYo2rDJTyWdhCmQlmuoxcxQqsvGYNgt8izNuzI8Rwod9nsBt9E+WsC2GFPa\nKFJKa6ga35pFJ8joNMwZ9fG6VTmRUrQITn6OSvD3d1LM0zWFm0rIKg9pTRGh7hZbrym2jijdaZHc\nlNaYMQOBnLjWCWwxY3StmQ6QP8NM7NZhwPZ0/hYZ0mbQthkAwrLu71kzc7qn9kA3IePUHAD7ez6b\ntgqdjMQ2Em+4NXNS6dwyI4XWuO0Zexakz1rn07IaVETU6phD7tLw2kIpqBZYbRNI4UQz6syDJQoJ\nS21QpMfwIBbFI+Ov7T1om5e8fAPXt8qpLVqwUD8pIXsWdNgYFsYUZBsVIaPTFAMdtLsCrY0SE9eW\nFVjk/ebvGPea8RjRPe0xZIWWFcyQ0WPri75ve8siMy2JMVUdW+SIrtcW8LTGkdGftOk2iuC3VWJm\nIFiEPKWNaBOMYht15IC1fQhNtxEpsq1DWze0zs04Mn1NBswtaXdbh20xggnpCCvyaDCXM74/Z+7M\n8Dpuzrwcs6ybagfz4gz4l0IbZb9nFV/NBtvpno2hoWu3bYto3Pue7NCkv1Mkcc9/i78jsr5d7kwl\n9FZ10/T222M1A4025T5siMLADvQUS2lSWtpS7flbtNZmeD0YWLYpJJhxIyVL940mxXAf9HfSK9YR\nwFJsaQibgZDrt9lnM2xAmlNjh01SCRj3ERktFqkmLKphOM1oJV1yi6PcYoS3HibHw3CuRsdChQ95\n7aSZmLl8Zi1ljRk9VLFqBgYVZbQtwYz4OK+xaWVIN+15pY4FKUZvdAsu9eH39N3vMDkmyrwca6VB\n6TLCz8z0neHpevvBpSKlnon7e+QtGJFsft8MJYsMEAh5z0mD+zAlZoZvikUa2shF096oNRJbr9Cq\nSi1tQkrR0qJ0PfOIcx2ZAZQYra3sco0RZsaUUSrmxJLN8J7eSn8fPodYqr2llaEDxrAdbYQjxdJH\nFPU0QD7hs2YYWL2dFWOKp7G3BlU+2/ydNBxmLvWjjaEluGzm0iJ6lhqnSK5BE6xDCq3LHKu1sLN7\nyvVKNCv7c6ZfqYLSjBR6r91bbcTLdFuD+5xh7LRBj67JXRlex6a1/H8untbCzclMssAZDp8b4ak1\nsibFailJSl9sw6sFrLeg8ltoJ1ocRCpgK2MmYtOt7HJMaSBY+Xrb046IAG0MKW2qax9KGRW5pRo2\njaMW42I0ClaW3hjcht+jyM7+nkWJaY22VX+2vhoqmi0WQaD1Zgq8rcKl1LEZ9uYs0p62eaUIjkWT\nKUpjv7vXFM2rAeVbHU8Gx35m5FzvNUWGua2BnKPURZYpaA3Q1kkyHUhnQY5h66KGbWDm0ri0rAaR\nc+97ojPIaHjIoDX85DW5K8OLwustNoMUElVXbTEcEIVSDZxnHjEpd0sJtMqcIkwWhs553fdEuBuL\nhLWcLBSh2tcjDq0WT9BWIZrnlmKGHKVKDFx/S/qIDJYZTp/aem25c1IsPdZ6/HTIbS+fsHOtN9oC\nca1qrY3e0lxa9Z0doClk9NgBZc4PzaVhaOn+zPizNCYd3EZN0NLC/GnXjelNS8u1Rk+OlfBjLUWD\n9RQ0uAUFN+x6bRUoGT1mJFp6nhwKi/bRPjNMnLEIPAaduCvD67hpo1Ew752Ajq3xYdVy5EW3CnJL\nU5Js6TYzlBqMywwv4C0EJG8jJC1Y2e6pScvt67cVQm2ar/0cGd9mJDZFATN9dIIiw8ZInwe3gfDz\nnoyigYytfQ/koDzmVZLQAWN7gQ5Jq360NdCuf1rXdBjP8GFjBpVFxlLMccxrUAWr7bMWIpBiZ4F9\nn9aoYV7p2dp8WTFIu/ZoHRnxbuuoEYTE8KuGzSTH1Jw2krYowyLpVuhmtsIh7Xzt9f5UVTUe4Fkz\nWCy0mxsk0zgZvt3YlQTsWh/IvEZiTZ555pmLz2XPPOqBNsPg+vzOl7/85YvvvPjiiw+vre9cjil7\n8e3FQ328tnWfB3Km+QxjRJ6bRX1yo1ifvtdff/3h9bPPPnvxOcrfWxNXUhRb6WcPMwuZk9LePFeU\nViBCy5nL9fXcc889vM4eY/t7Ob7dq/FrX/vaw+vf+I3feHj9oQ996OJzFF3Le9pp/JT83Mb35PO0\nvn/PP//8w+tMRexDN/dG7u8cg6Vm87kbiXGuUes92PbUzPFRL74tqQP35/J5pM7a6zV/yxzJvPe8\nj7yHjcPL/Zn9K9/97ndffC7XYfbP2/0PyaDa80rzZ04b9ZK0vZWf2/dOTuper3m/2Qux7Vuae2H3\nSyWc8dZFqeNzvra+yHkmRgCLlpsxmvNvvTJJt+3fzb2bc2kUOrnecv/svfVYB4W77NVoUal8WHsy\n6BBvQdttNUeLwTGgPJXutxQNKQYUthB3SxhLholhYdpqmrahNEXDLMVJ82qVfVb2TdKmASw6R5+z\niFdb4dv2UDRjMoXSi1sZ0by2LZasg0JbKdukRmY4OtfCBVpma0v1Nqm8/bk23Wkpnqbsfl+vJYUl\nMUqFXEdWuGJRwQZj2nboaHGtRj9jOLg0eoiuwc5Ea9lEZ1VbPNbS+th3SP+b82M4P4p4Gc6vxWiT\nft1jOGyPn/zJn5zzvfdqPBbgtsaJUXsrHSr1NoVL4fNt1BG55N7wOda8j+055GKk6NC+9tvf/vaH\n1+ldGWbA6BEoirc7tpMysC72NK8W+cv39hjSE8wNZqkIYmzf3mM+M8vrU+TihRdewLHm/e3n2ZDy\nWtVN3rtVPVlK+TOf+czD67y/XGt7fHQPdvDkvZsTkrL36jve8Y6H16+99trDa2ukTNiVHZ0gA3SP\njdIjpouosm+Pj4wKa8VkBmiu//TereuFESmTA2tUNBTtMAytVQznc8s1apXY9Gz3Xki9kGPYWY3c\n362zYo4QFdnk57Z+Jad5r0/K/NheNc63hm/QMiZGA0MOnVGKtDhcYq63dLNh3R6LeN2V4fXyyy/P\nzLenIigHvlMbpBjs4KcNvxc6RT/25/LBpfGwDTmy7k3pZNrQgJLklVi5ec65gcVzg6VCaqvgDDCd\nC31/P79ngG7Cadjhl6kuK7vPtZLv7UOcsFK2yelw2PdHafNtIGTKwahC3vWudz167ZmOE8oiMxSB\n2O+ZUs09RLxn+3otiS4dNnZPdtDmWrHr5bomSoUWMG34yRzrTkflWFucJUXdLEpsRjrpLKt8I9jD\nDKej8l73syDDZKc7c3+TczHD7Yn2+ZafyzVO1Y577AbNoX2yv5NzlL9luClymLYjlN8haM8MU0gY\n3jTPDCNkpVZybdX4dn6eqpZBhyG1Nzx5aEbY2IJl/7Qg0TYN0G7KlO29kLdtPF5k6c8wMNTShpTL\nt9RNG943UDmlTeye6HfMsDchI2qvgfwtA7TeQppKa9wMWkpLzLCx2xZBULRw/66tFUod7+tRJNGM\nfpp/q6pLsbR03tNe15Q2NAocchBbHqm99snwMqB2SstLZRx5aaSYkUi8YNsBoH1nae4Ua9SdYunm\nfC8NJaOfMaB8ClFu7PuhKu8WxG/GkZ0FpH9Md9OeNkPJIpOU+rXCFYqAWtq9LeK6JndleB03Z14O\ntQ3Z/8+FaSFWCq0bCZwRo9IhvhdP/j83b24IS7m2fDQ5DxautrLcpnR53x8dUFuRUrTDjKGcr03G\nSQUS+Tu24fN5WhqzxX/RupnxqtBrn5nhw29HVPNZG99XXs+KQShdaQYCrRszVGk9zFzekxkSeb9k\noBn/W45hG6rUwHzfK1VEWWEHpY8ME9e2JjLjmxxJ67RABqNVibWpRiNTpb1q6a22ZyXps1sc/D1W\nw+xRBNkiMy3fFxkcLYazJYc2Y40ML3MWrb0UdTHZUamcV0p3WiWqnRlPVVXjcdN7MnKirdqHAOvt\n4WBeCTVkNc85N87e5KQw8/VOCRDg0ICX5J3t8VEodl+D0mCmIHMxG9eQebCUBm7D1Qb+zGdr5IH5\nu6nojZspv7MjbWQ8GMaIlLFhvHIdWXk4OQAzXSP37ShkisbWdf6W4fdS7HCmNIAZVDT/e16J5X3v\nGVorxgTeRunbcnoyEvcYiHrEKDII22S6yApcaD9tfdH2td3pwWv3sPcWGVRtoY91J8m9tddeYtWI\nrsEOeitGSBiEnW/Up9gMtJZouKVyIAdlz2sL6qczNtf7DgSkEARo5vFimrsyvI5JtOoEW4xWsnuI\n0Rm0LNBtlVg+OLOYydK3nlfGt9OSG1Lov616ItzVFsvXtxFH8ka38iQ8YBqWlm5u+WgMW0Djtuo7\nOsiMb8einmT4tq1VLNVLqf/tceb/LdpBz91SN3mQWTSZ9ECLSbR5pWKea2M/xBwK2tNWWWnGH1UJ\nW19Ji3zT3mirwa1fYQv5SIPKDl2iPzEDhgwOq0S1vU/RHYPS0L4147vllTR9TZEe47GjOTIjpe2k\nYhWdhI3dn6NCJMOlkg7cn3uqmmQfk2jKzgwTajOQE70PBwpxWwiyLS9uNyVVstjDtYVJFBIWPTHa\nCTJA7OCnsRtTsIGfyUg0b8gwPSlteT5tZEv1toqe1pSlOW4hcW3xe2Yg0IFnaY68P3MoDLxOit6A\nwnTvZlTbOmzbbNGzscgw7RmDR1gUg5wpS6Gbo0aGkxXw0Dzs+SfjyAonbL3SWA3fQ1Euq+yzddSS\nlzY0HdbGzSAaDVH3vr79LkWvjC6DfscqBe0cbPVFg1trydq3PFWG1zEhbcXRFpqM1viwSIMtmBQK\np9sBTCFNOyTNWGjTJu3hQMrdwJqkQAxf0kbdbA2QIWAA53azkcdoVBpWRk7GlkVUU1rcSIv9ofSY\nXcOizFQJuZ8fHQ4GbDfCRosQ0RgIv2TAXrsnoqYx6guaB8PZkCG+/2+6yPBMKfkeEW5uof1k1WR2\n7xStsOKetrKvbcnWpiTb+U9p20bd4qi10XwzfOl7FkVqubFo7Vl0zug8mrPKzpK8D4McXJO7MryO\nG20rrywUThPahhY3oI+Axy0honn5hAUzLEDyGG2haIwd/G3/KopQmWdkaZO83xYEnuthP6cUatJs\nB3/ilMz4tnWYz43432b4gDGsW86DRV7J+DNesMSgWaqXFKR1RkgxfM8tqYj9u2SMtCkxU+bk/Nie\nscOZsKhtyi6fmR0iptt2gcoh/29ADogw03BTFsEh5vq91ugssIwJwQKs6TN9f4b1q3FEUkTOWN4N\n70upe+PQapvJk14xkux2jVoFbIoFVcj4zt/ZzzYxcdRqal/jmtyV4XU8FEsfpViosgWqkqe1lRGB\n/domoi3thAH6snWFVT1RZcxOs5KiMa+JQM3tvO57aj3YhtJihkPmVvKeYgceGdJbEVPxheEEaI7N\nWLb1RYrLnq0BTelgNE41iuAYwN8iA210tMGe2H40PCelLttUkK0B2oP7/troXIvFu6WnKT1Pi6YZ\nnKGNYrS6kgw0M/JbeoS2Kwo5rNtRoLOqTcuZ0B60/p+WEiYMs61x0vFWrWu0E3S+GU1KO69UOW3r\n+prcleF1TJSBb22hUx7dAHiEhdkKl8qQzfI17z2FDgrD7RgQmlIthi+x9Exr9KTQvdv82+Ylo8wq\nWdq8Pq2Bll3bxLx3wtOYgUAFAwZEN4qAnSa99v09Jrr3FjNj+4KU6r6GpaPoemTc7vescCXF1kCL\ngyOsZ9vM2Tx+OhxsDBZtJUPHWo8RLnJHfdIYtDWQ/89r214lwlPbW+YotK2AKPNgUecUwxqS09zy\n01nE0bqdNM6nFccZOTRde59vxMVm6zXFHHzaq+1ZfshdGV7HzVle2QDdf9LJmbktFZEPZ3uPxK7d\nlgNbXr/FYqSYYqbPbSGwuM1XzgORI+5rW9UTecRtu5gUA6C2Xo4ZnZQGsDlu+WNSjJ+OOO0Mi2fR\ngKano6Wb216NFk1uDNX9u7k/LU1LbURaupK2EMCeE/GZWQrL1jul+9sm8S3+xQ5TWstGK2PFKaQf\n9+cocmHrsKUMoopCK0ZoGN9N2gp+o4FJaYt29vVon9i53LANzPTEqC00IYXO370fCW5hRvo1uSvD\n61io+xBvDRMLUR9iSrq12nNDWXNW8xzowDOlQ4vbDnTj7yHj0rAP1MbCqhoJwD1zmd5q03f5HdsQ\npDyNkM9SDNbuIiXvw1LChgGkMaSYoUqpCDsc2vYzZCyYQZX7ZKfxKXLR0qlsITyfOS75nbaMn1pp\n7d+1g5aek5FikgFjzoqBgZtU1ww7wPm5Hb3Z3HU0VjIM98FPUVTj5jOC1xTS3Vtf0P42Y8YitOQc\nGzlrYo4Tl7TblxF+rC0QM5wf7du9ZyjVa0Y19Trd1zceNeLcswbc1EnFHNZrcleG17EYLLxpN0yf\nM2OGDhvzdG1hNsppf494TtrUjeGALBRLVVl7jgmDY81GKTLQNh+3ULgB5UkZW7SD5qGlvrCWTWbI\nkSI0MtuUW2gPrKq03SektC0tZ6kDS/+kUHTNgMfkANj6slQvGem2Di0qSKTPRutAvGdWpWfOa8vY\nTtHIHOvun9sSVFOxhBmdrX6lA9gqJlMvWTsow1m2mCUyjihyO3OpI8jZnOmMuj12KvjYn6Pv7HVD\n+mLfE3UYsM/lc7YCC9oLLUbbOohck7syvBpMgnkspoRIWqwIGXx7AVMbFzN6yCs0YKNh3eh3jA/I\nrkGYi5anrOV6sudMZJWmkIhKY28aUgwWpTSPmNJbW+h+Ce8y41HZFDqUWvJGO8go3WwRKsJa2fgs\ngkOEmzYmGwOJFYPk+jI+oFv2jKXnKV1mqUajviDMjEWRUizNRA5Ky6tnKe8UcyjyPSJL3mNvYSLm\nULSFVoRbMwOBokiWrbCxUp9QK0KhAIRFyy1gQIbv7kJA1bE2r21RzC1cgdfkrgyv42bMG0rZyo6A\nzK2Fm7InmigM9iIjUKwtimz+m9GcHTZOb9IqVOjg3mk+yutvY4aUccsjZQs4f4vwcTNsVJuyM3oK\n+o71aqTiDQM/55x/4xvfuPjcLdg56lVqxh+V9G8xY57GmmtvPzMq93/rW9968bk33njj4bVFevJ7\nVlhAqXFbh4Tz23uQ9ud+TlTcsA8bInpuU4Nm5JM+bHmRdnQ69Q9FcEwn5xowh8nSp7fo9XRsLYrU\nYrzIALXihhzrnleK3hqchHT3frY0r3u+kkbHaCeoQMWqC4nL0Dqu5DWsx3BLpUGvLZ1u8/BYcdVd\nGV7HJNjDtjw1HVgW4qaQrTXRNZB1m4og7zbHsA+oXLSGg8gx5Xv7cG6NIwK+moIkTNwWChtb5U/b\nYSCxRBZNo9TBnq82fU2pIEvDUIrZ6Azyd9/2trfhta3FUq6PFthO/FV7HtJTJUdj/66l+ShiZbgi\nI4NMoajBPpxzLef+3PNKaR1LcdohkkL3blVdhmtJIe67GX42VCAzc7m+EiNp0feWhicN363XyUmy\nCt981kY/Q4bOni/q0bkxjpSys+ratovGXr90PRI7Y9s1QAZkSwNjxSVtqpe4uwzOY+D6p8rwOm56\nH6akxCy8TyH47TlQ+NtoCloWe+OtIbJE83LIArd0VI51b0Kr4EuhgyMVV4uDMOyQYfkoXbMPkYYh\nuqWqsFSvYfHIQNsGAikh6jxgYzVge4sVMbAyKercP/v+yMPeaUJyIvYaIDoDizqnWPqIUnFG02FU\nAhRx3LACiibbQUZGiu0tS6/QeLaQ8W3PNq9HKT8bnxUY2R4kOiF7ZjQGizbZniGHwqg0aHwWRbJ0\nP13D9KvpYdrT5tiSI2o0ES2W2/Q9raOWf9LuyRyjmTszvI6bszJ+w3E1YVoLXVsOnBaCpUUNhE/K\n05RJayDQ/VpbE2vmTOnF1nsx7FD7OToMTeGSWPFGUxl77XdTWu+9qXraRkQqc5sHOriN3dkiw03k\nyPo70iG0f8vWIeEQzRvNZ2FRXZI9r4RbM/JMc+hI7IBqIwO0Fwy/Z9Vk5OyZ3iQnydaA4W7bA5SM\nhzaa1vIV2ljpEDdOrhRy9PY1WtqPlhzXinao/VXLCGCBhVxvFkmnrJfRBNH9GVWIrdenyvA6JtuU\nU9vOgHAHxlSbi8oq+9Jz22FjAn4broI2x1Z8RHZplYKGc6I0q3nv5KEbd0uKHQ5270RNsOeEPmep\nQcJztC1AWhI+o6cgRbojJKT4DCybCmSvgbzer//6rz+8fumlly4+R4eANf9NybSQ7Zl8zwCtVFI+\nw/Of19tR4pwvqtyduVxvRnJKUTyLChLppyn9Nkp8Cx7Q0jA0ntYB2Ps2MUb5XovBsXQzYUetUs24\n3Mjw3WOgVkp2BlG7MTNU6TdneF7biJdF/QnDaVAOI5KltLvtGbqHmcvnnrCA1EXtmWiQj2tyV4bX\nsUgoLz1zOekGPKbKh73o24ODSFP3piT6AIt45bitUo3wUHvc2VooxfokGqt0g2+zlBgpyxkmwzOw\nslXxNO0ptmKgYol97ZyXXAP73lNptCBwKp82BZnXtnvKa+9nm/Pyvd/7vQ+vt7Kj+WtTUwbapsjr\nHkMaZfm5baTnWOnaLefP1kWto0AHmaXiCLtovE9tpNr2FjmshgUj49a+Y+k26sVqkW8ba0Mcuo0K\n6gls+9s6U7Tpu8YwsaIFK7TKMaTBsc+tdAJtf9PesnOLUtHmLFqwhCAk5lCTE25GddvB4prcleFF\nhg9VhLSpiBSLkhloPn/XNjwBXw2sTAuhVaSW7rR0IP3Wvh6Bs62ShWR7GC1bN6WP2giaASopVL/n\nnyJ/dvC3WDzy3o1I1gDmbbUuHcg7KkItcNrelhmBsGimFU6Q42HQhJxz64HZViESyaZFpSjVMsMV\nX9Z4mirL2tS4GV4tpQ45VsYllrIjubdQbliHh6bDgI3V5pIcUUvhGt1C49TbeG6hlbHipQxuGNk0\npcO3c0G6yBxRq5Ym/LZVn1IgZo+VHBnD712TuzK86GbSUm8Pe1ISBpYlq3iGF7cpcAPeU8m7kUnS\nIWJGXQuotLy3lbZfG/cek4VsidndWgGZMZPSAiXJOLU8Ph0Ae6wWFaT1a7gROiStcCLFHIXXXnsN\nP0eHiDkreW3bW4T7MD4go9wgsLEVu5Ah0R5qW5qquv1/OhwMx2gM92QYGm7NSujJeLDDjzBxLZVA\n22LMUpLN7+z3rBqcnCTrK2lrgPSjOZgppotaDC2lTA3rSarxW4IAACAASURBVHPctqSywIJVAtN5\nbgGItnK9bUD/VBGoHmIA7BR7cPT3lmCuLTO1hWlkkA2g2DaoeUOkCG/ZRDOOYzjEohg2X23XeBqr\nRTnpsGkZ6e1zKftzt3jvVHlozdotld2uATJ0Wv4kO0wpMmzXNvJGivRsoVSQrS9aU5vHi1IlRvRp\nBgJFsc0BILxiC0I2Lj2LJJJxatEcKuNv8XvmAFtXCBq3YT0JUG/FDUZvRFkJi86RoW9OiI2BdKCt\nQ3M8mi4Ae7223QboevvMIeC96dq2apmerTkr1+SuDK9j0bQkj/vmCZiYD9seYluWa+Oj9F3LANzS\nZdhYW9waeVoGFCZPxIw/S3emtBWAlpJMIYPRuGny3q2qiw6ALfSct9BBbRWrxuBPBqQBq3M9JCh3\nv0frYV+7PZxpjZqzYvgqwogaTxxVflqlZv6O9cgzo4AO59YANaeSjKid5svfskiiRXeuje3amA55\nrCqMfqdt7UQGh+msfGYJLTGjxyK0lEWwKGoLJ0nJ9Wq4NcMSU9TMsJ6UTTGjzhwwcowMv2d0EhT4\nsDQ+pc2tF+s1uSvD68UXX5yZmd/8zd+8+Hs+kGefffbhtbV+yc999atfvfr3mcvDIgkf3/GOd1x8\njg48AzU/88wz+Lnc2EmsmSzeL7zwwsV3CDS/F2b+/7nnnnt4/fLLL198jggp94Z417ve9fD6i1/8\n4sPrXIx7vl5//fWH13nvCeKcuSTTtJRkzmWShX7pS1+6+BxV3SQwO+dk5tLI+MpXvvLwevf+SiWW\n6yhTdDOscHMe92/ld7Ki8Atf+MLFd4jReSu7nNe3vOUtV1/PXN47YU1mZl555ZWr9/Hud7/74fVW\n+r/2a7/28Dqf+/4cFcVsUtgvf/nLD69zPWyDL42gNDLyXg2Hku/tdiV0veeff/7ic/k9c9ry3vPZ\n5PrK+5653Hf5nPe6znvKNWqHeN7fPnTz//m5HHeuk5mZt7/97Q+vrcI6n3XqmK3z3ve+9z28pkjp\n/j8R3e79nedHrtd9OOc85Bp4z3vec/G5HN/v/d7vXb32zKX+Tz2V+nob9qlvc+19/vOfv/hczrMV\nLeT6oIbx+3dpje9zOfdTroe9rgnf9s53vvPic6k381mYIU2t0bbkvefntiO6yc23nB4LiX2nyOl0\nOn/84x+fGY8MWDSnica0IUPjWrGSZApjWliVQuZ7g+bmowjQfu8WPJSlOCmCsxUklS5bNK1NA5jH\nSL9lvDzk2bQ8apbisUIMes8KLFKJpfG+DQmqPtqHzV5jh+z2RkQ03DTPnrlUqluJ5cGd494Hf86R\n0Z9QJMSiDvlbFkmhCIe1i7H0imHfrv3Ovt4t6ZVN57GNy0P2mrLKvGYMKZbqtegoXcPWf5sSoxSz\ndQZpOQqNG4uMh1xDRntgKbGcl/yOzVdLTEsRKiveaKOUFplMsb1AmRFzPIhDkTjCfuRHfmTO5/O3\nWXJ3FfE6btQeiIV2mxy9LYqUP2lvpmtjMlZvShHkPWwv55ZqDgtX00Fk+DYyYnckhVKhZqSYcqKU\n8FbgZrQcsg3Q/E4aImbYt1V15kQ05f6GhzJgO+FpzPgz5UQ8UC3uKo0tGwNV5O7x2Zqya1wb976e\nGZP03r4norAxFnoybAyw3la72Z5pWzYRAa2NldbXFjokd+SVMI7bocjnRAa7OaLUh3CPybgf2/Yz\nRIrc4sLM+N5nCP29bXVHEJ4Ug520PSuNQJUCFZvfi/SZ6TmCK+0z8bGCs7syvI7wtSlFqq6aYWoC\nCy3SRrbKPjP+SDm17SRs3C2gkvLo1rKmjUqRt9cCUA2HYtcj48jKnUmJWSm1eW7UImkrfTLKjOyV\nlIlhEo3ksWW4z9/KNACltfe18/521IcA+XsMpAj3c6IIn+1vIpA0schYW1FFRIzWOowwbC1lyt5b\ne2/Q9aja0zgKqWLPnJUU0/GGjyOevVavNI7ZjGM9ybE1Ak8zJmlPp14x3jmjfyD6EyP0bnG4ZPRv\no4RSnFZVaphjqn43J4n2wr5XIlTfuMinirn+yDNvBZkHrTHaUnWORQbaUnYC7FoExyrpCMhs0Y4U\nw0uQ0dOS3O0NYYSxNIYcn/EYUeTOwvtGO5EblnAHxuNlDaUpOmdeOWEGZi7XGFWLbqXTRtMoxWCV\naoS3279lVX8pZLDvZuGEvdoKnBwK6xxA+J72/qy5vRVB0EFmNAq0vqwS2BprkzNldCqWOkshPWfR\njny2O91M+szSd/meRbxID+zDlDIrVrxkJKc07pbWx9KslKGwdW2pM2LWt7QoFYJZJaoVhaWhk2e+\nOZXGQUcOhc0XzX+bWn8Yy5/o03/OchxShi1oWwbRojXeLWvx0zI65+IxrAJhcCjUOcOEcHvxUEWU\nHfxm9JBXnq932JgAmi3TuTGs56Zs+W3yd/f6SiHv02SPITE0xvdCTYONwyn/n4fXXgNpEFnJdaaI\n00jZHmLuLaqm3HuL8GP7nnK+qHJ3htv1GH9Sjsl6K5JitT3Ycm1ZFJsiMDn/20BoU4httTQdyFu/\nkjOVYpVqOQ/t3mppJ7YxT7rSCE/JkDNH1PQPFWxsoyejy5SeNJ1sVeOk//ezzf/nftwOoVGCXBvP\nHqs5+KmLzEikc76tULToe4q1ebLnPnNnhtcxIfawLTxMnkgL1rSyXPIKrYeT5akJK5UbtG26ajw/\nFhKlRbfviRY69UCbYYOjBWsaoDjF8C85D9aqgp6tcZMZNxYBX7eiogIES3UZLQCNlSJwW9JYMwxI\niu0tIgk2wlmLNLSpM4rUWHTIHLoUijTse6c9aGzp5PxYoYkRTaaQUTfDxszWA00/PyPetcIoSoO1\nBseeV0rVtoz0hiEkx7Z1Are0bdjoO3lta0mVYkGLNtVIfzcKEFujbRqY4A2Gy6ZAxX5mRjmT8lSl\nGo+HZzxZZuGSwjQwKqUDDWDeVmZYjp5yySlbQeYYjGuFjM6W58TwWm3/Kgrn2oI1jB3xSBl5KaUl\nDDdlio8qRFuj2hQSHTyWyk6xg8cKMQinZJiG/JylGvMQaIHCxuVmHH50PQK2t4p9C83rVuDUtsgK\nXNp2MXRw7EM394lFeSnlbddLMcOm7VdITo212bKiqaZ7wR4D4bpaRnTjrzJniu7JijyI5NQCAa0T\nbjqLHNM2LWfnt6UAU9o5apq/W3reIoQ2vpk7M7yOiWtLXffNZ+olDw4LbxI4z/L6+R3zyi26kOX6\n1KZg8xjld8wAyjHk4mvZ5c2YIWVuqcZ8b1c/pnGaqamN2cj5TxD4PvjpILLG2mTUmbdtFauZ9sg0\ngnlQ+TztmaXSIF6lGS4dN9qDHMN+nhQBsEgiHeKmtFqyXQM/U/SqjcxYA26KMFm1tEXxKH1nSp+a\nsNuztdQsfcei02Rw2EGW6zrxhPt75nikXrHWNnm/+TwzjbZ1TJuOalsGtY4t7QdzAsn5bDNChocy\nvU54WMNHE37PCizMoKWzyvCrdr0Ues963F6TuzK8jkm0SjXrX0WK1SJPxBu0jR6KmOwHkIrBImNk\nvOXm2EYFeW5b6bcRHGPoTqGDowWqWhg7r5fPaX8ujRkr5aWoGeGDtlg0h0rUt4GW5LE5L6ZAqJrP\nKtDSiN2fy3u0kuvca7lWjB6EsHP7uVDBgK0Vi9Lk88j72AdoYtXIULXG5lYp1dJ+UJTLCjZon+29\nkA6m8flRStIi2uZQUBVhS33RtoshI8CusQ0Eyg60/WAN65a/ZfqVCn32/BOTuhmghIdqITJW/WjV\nfLkmaP0bVMiqwfP/SZC8ny1Fmq3DAFXMb52V99tiba/JXRlex0SZ10Rg2RmOzBgRXU5gekPGjWIg\nfFJC5om0nDgUWjfP1IDtVB1iZb4pLXkmRfT2tfPZWBTDNhsZLS0mzowUOrz2cyLwraX58toZDbCq\nRuo8MHNpqBoAm9alNbolQ8nGar9JGK89ViKC3YSg5GHbniEAvOkLMixneO9bVCSfJ0VsZrhC0frQ\nmi6iA9mKFqiic89r3l9biZ37zqrqbF7JeDbd0fJSkZNke8YimE1RmBn25oST3rMzNudun7EN8bdh\nk63AhegfjKLEIuRk+Jo9YHxrKQazmbkzw+tYuNvLocPUuE1ootsqFIuKWKieqrJavEQe2tY53RRI\nioViG4bvGTYMrXyaMA3be6FN3uKhWlZjOxxSKPW2r9H29bQ0DF3D+KFSLN1M6fmtSHP+bymftu/Q\nvbcOgFUppew11Rh8FnGxvUX3a/du2BUiGDWeMno2bdVyS0xrXHopLe+ZgeEpjWncTMb7R0ZByzSf\n+2TfE6UhrVrUDAQaX5tuM31ImQcD4T8GHL927RZHag5+69gaH1kKVYVaxoT2jOnXa3JXhtcx2Xti\nMqxqC5gUvVUxZPqi5WSxVCNV5OzFkz2viP14byIyGi1XbjQYBCDdvFSZ2kgcli3gnKO8nqU5DDRP\n7+17IsMw52FzCFFUZIfZKRpjqd4WVE5Rsj3Hj5UxH5LpNsLRzVz2Mc339uFMUUvrAUhVpTuN3xIn\n5p4xbBNdO/egkQm3h6SRYuaY8rcshU7Rr5YXyRr5tpF0M/ppLWfLoR0lTt1thRN5PWtvRNFW4yaj\nSrXWqLazgL4/c3kf+Ty3XqEoav5971vCurUwjJZo1Qw5wnpaJsoMNIq+WwWyZSjonqzQiiLpLYzi\nYcyW4vpOktPpdP7EJz4xM95WwxjbaSO2qUbzyttoR24qohXYYyUlYZ6ueVrEKr0jAwSMtmhAiuF7\nCNRspfGUetufI6Uzw6SR5hkRqHPfE1WGtWXkVu5Mh5JF3exAIK/Q0qx5gFoUtW3tQWvKqhVtrdC1\njSk7xZ4TGdV2oKcYuN4q6Qhs3PITWSSLcDd7HdNzMqfScIgpdsjR51r+QyOHJqxgS2RqUZVbqhrz\n3lsOM9PxFM3Zc0wBCCP8tUpI0meGYaPrWRqTIk/7+hb1JAMyr2eOe2OA/viP//ic771X42FtW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P1xrR6Xr70h7UAd3X36T1/a53vUvzCLUaX1Cynah1wbslSxioTv08AiH7JCOXLYEZ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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 25))\n", "plt.imshow(B_dirac.T, aspect=0.005)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From Wikipedia: https://en.wikipedia.org/wiki/Spin%E2%80%93lattice_relaxation\n", "\n", "$$\n", "M_z(t) = M_{z,\\mathrm{eq}} - \\left [ M_{z,\\mathrm{eq}} - M_{z}(0) \\right ] e^{-t/T_1}\n", "$$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t1_gray_3t = 1.3 # Seconds. Wansapura et al. JMRI 9: 531-538 (1999)\n", "t1_gray_1p5t = 0.920 # Seconds. https://en.wikipedia.org/wiki/Relaxation_(NMR)#T1" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the T1 effect\n", "Mz_0 = 0\n", "Mz_eq = 1\n", "t = np.linspace(0, 20, 1000)\n", "t1_signal = Mz_eq - (Mz_eq - Mz_0) * np.e ** (-t / t1_gray_1p5t)\n", "plt.plot(t, t1_signal)\n", "plt.xlabel('time (seconds)')\n", "plt.ylabel('signal')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.5" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "TR = img.header['pixdim'][4] # Sometimes this is not set correctly\n", "TR" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xlSbU58+H974X5s2DT34SHn4YcpqMI0ktU5pQnzgRbrsNNm6ECy/Mgv3ii+HWW+Hll/Ou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\nqUD+H5ip6NsztUqXAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a T1 decay regressor starting at the first scan\n", "t = np.arange(n_scans) * TR\n", "t1_relaxation = np.e ** (-t / t1_gray_1p5t)\n", "plt.plot(t[:10], t1_relaxation[:10])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a regressor matrix with this kernel in each column, offset\n", "X_t1 = spl.toeplitz(t1_relaxation, np.zeros(n_scans))\n", "plt.imshow(X_t1)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gRFU9UVWngbuA6yfOeSvwawBV9QCwN8klzZNugh7/MHvMBH3m6iXT+DbJUabLL4dTp+DM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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X_t1[:, 100])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Demean the columns\n", "X_t1 = X_t1 - X_t1.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Project again\n", "B_t1 = X_t1.T.dot(filtered_t_v)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Suu9neo7AyobLI5oaW1v2d5qHu49onrfca/Z3ivDZEUTm/DdpsJafy3R8PmfPgdSjhh8m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ufzB0+n0w/PzN84n89/68o4zj/90z999SGpR9tewBTZsgkkOgMj2TRCOIpy7bFSFZUpBlJIVi1n\nC5MwOBYNaEuzaWFaRU9L9NnyreW8GOcP4RNscxkejegDzEAgj9EiiSlt6mbrA6q+s/Wf47aDP69h\neEB69tZZabl4LD1Gv7FopkXuWsJG8t7NWaHImDlgFsmi8Vk0oP0NrUvjvKIqyz0GI4em6kUCsu97\ntUUxKaazCM85c6mbaHwG0aDWaDO3FSXdAiGxaDlBLwzvaEU7FCTY3zOsIEmbcj3WxEc+8pE5n8/f\ncFA8qo3P5/O/OZ1O373++a/OzF9+8vf/MTP/z8z8xMz8tZn5xfP5/Ecz8/nT6fSZmfmB0+n0hZn5\nC+fz+RNPfvPzM/PXZ+ZXn1zrHz75938xM/9IxjIzrkBsgVA6xCaQXrBVvhmHFh3wltcnQ2lvIoo8\nWfrIImuEibNF2uK9CKS+PS2KGFpeP70SU0iEczJP3kLmbeNjmv8WWG1RH8IuWnWtefyvvPLKw98Z\ntdwpTjKcrCUSedE7OprvMz8zWhnTA4TRsjVOnEv7nd0CTaBn2Ncno25fqzV66GDcQjpwRzCpT6gZ\nCHlf4lacYYD+1m3UA9Pa8OTaI/LTfW3LKORzUFBghqkmthNODqLxv+VvbC/kvTJbtHUgrbdtJNIe\naouXCPe5x2QUGRTp3IwFtFasgj+j9OZY2bkzczvG6+3n8/mlJ3+/NDNvf/L38zPzm/G9fzuvR77+\n6Mnfh7zw5N/nyX+/ODNzPp//+HQ6fe10Oj19Pp+/um96LC5bZE8//fTD33sBp6Igy3wvpNwsuaH2\nS2zD0MarQ0JYGKN1sDRTLuicoz0eAqruDUGHV3vwG29KWwGYCoVapsxwFC7X0MaXkLKzyJgZyFQx\nZNgOGrcpHeMkIs63bfjmfjIqh1xHRDCa6aItpuwoSmzeu2EX83eEd9zviKIOdpClGE2HddtoOLns\n3Vp1Z85zYuL2fFHF3V4DVFBiuNRMo6WRso1EoonYRg/RfrTdC/K9W4FF29rG+nDSe9p7MA0i0rWG\n4bROC0SJsOefDHijlWl7p9KZscdAkXQz/vIa+xykYgIrJKPqcnOur8m3DK5/kkbsCF2+RfmN3/iN\nmXn94Hnve987733ve48xPHwnFcgWql5pGcxzUxt+zBawAZ5JKP9sxkxa5gbwN2AvpVYtzZQL06gE\nqHzdqrqMKbhJHcyw4ZrG1n5neThYioE2spXQGzaNlJBVTJLRb0S+VDyw70v32f9PjNDPPPPMxW/a\n1DgZoC1zd5uysAbQFEG2dFv+xg4oq/qztPIhex2SMWmHQ+4FO/Dyeoabynvl+7Nil/bAs/1NjPKm\n1xvKjn1fwyxRhMkctTTC2h7DRs5KoPI2LbeFAhWGiba2SjRWK6CiYomW6Na6d6SYUU00Tcc9P/vZ\nz85nP/tZ3dMztxteL51Op+fO5/OXT6fTd8zMy0/+/YWZeVd8753zeqTrhSd/738/fvOdM/Ol0+n0\nZ2bmqWvRrpmZH/zBH5wZB7IZU21TPm2WvqVkaHEb/sIiY5TSastjDVz82KK4dg1j16b5N5LBlFYx\nGGaMKoS2EiOPsSX6NKVP/GE7zUEGla0VStnZWI0NnowWI43Mz3ZUsElHmZFoKUTan/twTsMuDyUz\n0mmfWXVtiqX72x6Y1vieyIWtaCeNKIsQ5rUNFkCRhh3FoDYupgcoLbSvTZV9xnllmERyeIhUc1/D\nKECotY05aoZdJEPOKj3J6NzrhtJtdr7ZGUs6y7CP9Oyms4jmaYtBQ0j3UmXsDGfAjnf+vve9b973\nvvc9PMev/dqvXR8XjtjlX87M35mZn3ny3/8r/v0XTqfTz87rKcT3z8wnnkTFvn46nX5gZj4xM397\nZn5uXes3Z+Zvzsy/ppseG8msZ8v/E+7G+EsoamAAc1ogM1x1ZuzHhAmyzdaWEJtXSN77YwUZdF/6\nzPphEojYDp6MTFqrkDbdQxEEWwPWuZ6ifVbu33LVtdVHlDbZxh8R59r8k0G1x9oc1HvslvKmCKtF\ncGjP2Bo3cDdFk/e6Jo/d5pVSwhbVNRgFpcEs6kzg9X2v1ukiDqe20GfPPzlGZiCQHrAKa3sm46wi\nMWJmSm+1reCs0wLx55kuyt+YA0Y6xoxvOzNasH6KPTsFICydnr/J92KZrWvS0En84rwOpH/mdDp9\ncWb+h5n56Zn5pdPp9CPzhE7iyc0/eTqdfmlmPjkzfzwzHzz/yYg+OK/TSfz5eZ1O4lef/Ps/mZl/\nfjqdPj2v00l8Q0XjIcckGBkeVSE+Gd+j3/vTKKW2A482zsa1kGK1iioSi+JZFUkrpOxsQ+U7NG+P\nDBPDNpnRSSlJ47Jq3y1tNqsCMhwKRU5NidHv28iYHeLGO9f8Zo+BrmecV3koGc9Sm2pMMWONgMx7\nHih6YnghA7lT2sRwZq1eoPVqhqq1tqEiJysGIadr7+8mkrLvlWLGZNs2jchjzUgxtnVKr5sepmc3\nHZPvaUeJW+eaUsdWuEXG2t4LlMbfa4Xmy84CixJTGtKgR20kkdLDD/e+9bD9Dy2n0+n80Y9+9Pj7\n4rMWB9SwT1t0ok3RGRkhjXW/h1QUFMHZYfZvNcRtqa62HDh/Y6F+8jj3gs3Dy9j9c76oO/0MG2+m\nfMkwtw1v1TlNqmuPldZe22LDUrN5DYvQGnM6GbtWUUWepfGjWcoi05pZ/NIS2KZYpaBRX5Bhb55z\nW6FF0TRzaozTjqKRex3me6Loy74vRVH3b3J8yddme90ORqo0a3m8Mv2691ZLv0FnhlUKmqNAxojR\nZRgpdQoZEo9FbEjyfRKmusVcWsqVHPcZdqjt/M6xJk7cekc28qEPfeg2Ook3khyLfYdiqdeWgZoN\n05BClr7llc0ToQo+q9LLcG4+k4HhTenn9cygSqBqGn9Wxp9i5cl08FtlpVUc5fvIwoKWG8tSfhQd\naulK7HAwsD69G2vzRNQL5pnmc+yDi4xiw/lRhGSPgXCI5m0bBoSKNPa8UtVrrnfjvjOjgLxo0wMW\ntaRDkzoUzPTRJirusb5ztk/oXtYzMfVKHtrGxJ5iWDw7aAn0nofuPmdoL2ynjYpfTBdZIUyOg4oR\njC/SDF/an1YxbE2taW8Z9UKOIZ0nmy+LEpPRuLNKORe59m6p7tzyWNT5rgyv40G/+tWvXv33mUuA\nrYWXKaduqZa83ksvvXTxvfSwW56lXNxve9vbLr6XGycNCVosW/K+Ow9PFXKpBGcu5yXvu/l70sDK\nOc65szLmnPN81hk+yIzVOGV/jyrNiAdshgG3RqthDaWJRsQMOWKE3kqHyrb3XkiaCCNxffnllx/+\npsjA/iwjjjmXuwE9ORd7XvP/89pb8WXLIIrWzsx85Stfefg73+13fMd3PPy99xYdpgZ7yOfdz0TG\n7l7/RIGT+mYbgmTI7XVNjoxxmOX39uFMXT5u6de5metfffXVh7/NoKKCATsI28g3OZiWFrV1TcbI\npj2gMVkEmgwEg7RY5JXgCPu+5HTZu6CiMKN0abFuKXv957rM9WbYa8KRGgXLNbkrw+vYfBaReP/7\n34+///znP//wd05UTvo2KqhKxnhT8nDYiye9antxeTAm/5GFgIlgbm/k/F4ePAYWtxY4eQhQj0hL\nT+YcbToQ4ucybE2OL9/FDBu05pWnoW/vjEqpt3LKMeW19/XyEEmlQdiJ/Zs0MPYaSCM738WLL754\n8T2KRm6jhz7L95eH5/7MDPv3ve99D39nOmobcsQsvg9qUtpvf/vbH/7enGPZLikNvD3/ea/f+73f\ne/j7He94B37PDrJcy0TGaZjE3BfW+y73U7bdmbnck8buT+lKw8bmXsi9aVgwK1zJOTKqlpRcbxbR\npqiPYRdJ185c7sEkKt4GQupUilDtd0vZhq0P80wzSh1KQ+73SQZ3PuvmwPzc5z53dXwWUcpx7+/l\nfOU5bUYnESTv8zvH+txzzz38vd/tm8rwOpTXPqDysMgFbEZKLor8zfY4cyGkMticRFSltI2UXDCp\nJPaB98ILL1y9dsp+2QRQzgNl5nKD5SYg8seZy0W7v0c8aqR892e5ObanS5iGLbmJ0mjdCjf/n4yj\nPd/GcZRClZH7cM71lgaRgUmp992OdlAT8H2YUoRjHzb5PnJetnFEXn6uw+/5nu+5+A2lF7fRk2NK\nQ3Ur/S9/+ctzTYzDLJXsZz7zmav33NfId7uj7zlHOefbWaQo417/qX8sDUPXbtm1DVtD0TmL9lE6\nynB5hp+k++73lMa9pblT8hqGD6U539HflNyPe89QValFk2k820BIHUMG3gyn7LaRQpg2K8TIuTTH\nnchejSvToD40LxZYIILeHfGi9bGfaRvPW+7K8DpexPbe84UYu3z+fyr3XJi2iYjJ/dr/0/VyDPly\ndqrRmOcP2UZF/iYX5t7wuXgyZZoGywwrrq08KWVnni55oNuQIFDzVrg5r3ntbSATQ7RVKeUzGRkk\ngWrNWDPMQP5/Hsi5Hoz6Ig1uSzebIZdRpTzUnn/++YvvUcPxHOteh7k+8nt2OOc87BSMYQpT8hpE\nY9G2z9rKPI0MIv3c17e9TmuecDEzDp1IMQcxJefVsHPkfFrkKdeezT85x9tAyIgodSjYYyJ+OsMO\n5buwjgw5d/vd0p5ui0usMCeb2Ldg8ZzLHYCgrMSGp5Djl/9u8I98Zzs6R63g9rzm7yhivK9BTcW3\nM0wtg7a+2efOlrsyvI5DYG/K3GzGoZWf5cRYaXYeNtbWhLAKtigIFzZzubjJAt+bKA+yVFR7rNRL\nrO15ZfclCoN8R/t6OedWIURYgC2EMZq5PKRSmeT3zPCidkszXO22lWLeN3FF+wClUDhxH81cPnuu\nf2srY55bp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D6H8dsQTjK/t43lJko2wwbylrb3Y2NItOuwJRu14pkUM/joe/s7hIOzqlky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\nGZ6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 25))\n", "plt.imshow(B_t1.T, aspect=0.005)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FAvtjlf3COS+ufugCwBFAbvVzUQpOoEN46gKB/bFK1BljDoyxswAyAPzOOb9Y/dLLjLFY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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Are there systematic dips or peaks in these betas across voxels?\n", "rms_over_t1_betas = np.sqrt(B_t1.T ** 2).mean(axis=0)\n", "plt.plot(rms_over_voxels, label='raw voxels')\n", "plt.plot(rms_over_t1_betas, label='t1 betas')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.linear_model import Lasso" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wn+hLUs/5LzslqecMuST1nCGXpJ4z5JLUc4ZcknrOkEtSzxlySeo5Qy5JPff/ukBYkfcg\nWXMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a highly redundant design\n", "big_X = np.hstack((X, X_t1))\n", "plt.imshow(big_X)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Lasso(alpha=0.1, copy_X=True, fit_intercept=True, max_iter=1000,\n", " normalize=False, positive=False, precompute=False, random_state=None,\n", " selection='cyclic', tol=0.0001, warm_start=False)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fit the model\n", "clf = Lasso(alpha = 0.1)\n", "clf.fit(big_X, filtered_t_v)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(20931, 338)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.coef_.shape" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+soCSb62otYXofkRJVPQBGYtscZSmXalZWJ5vSKzfoagZ72sRUEv39rDGyPez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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the Dirac coefficients\n", "dirac_coefs = clf.coef_[:, :n_scans]\n", "plt.figure(figsize=(10, 25))\n", "plt.imshow(dirac_coefs, aspect=0.005)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eiXzMwkIVkEcfLb7v9tvJoUN1efNmrQ09+mjxAvaMM8iRI8Mff+ZMLRA2by6+\nb+dOrZk1aRJcqPTsqfmoRQstcOvW1cKjQQO9Xw89pOIXK6tXq7f966/6LN33KBpuuIH873+1cF21\nSgX5scf03tSuHVzLLCpSIWzRQrtU7t6ttY9Q5+fee/XaunfXY3XsqLUJkty6Va//+++Lv9+kFhgP\nPlh8+2+/6Xv66aeqIeF+S5I//6y19NCC4403yGbNyMMP1xr8iBHqPK1dG/29ShblTtSHDdNM4HLP\nPZrpe/fWkrNaNX9GCswcLVtqdc3lr7/0d92762++/bbkGzVmjHoL0XDjjephBdYgnnlGawwHHKBe\n7PLl6rXs3KleTLt2as+iRf7fLFumL0dgX93Fi/X63X7fL72kT+Lmm6OzrSQKC/WYWVm6fvfdGk7y\n+YJFZdUqzcCzZ+tLddhh/v77mZnkJZfEb0usHHyw3iNS7XJrOKG8/bbaedRR+oKXRFaWCkBgGGjv\nXrJp0+DC+8kn9Vm88krw76dMUfHasSN4+z//qfmhWzct1EN54QUNiR12mAosqbWLunVVHFu3Jt97\nT/M9qaGiO+5QW1euLPmaSmLvXrJ6dS3w/vlPFeRwteFQ8vK0EFq9WkMtvXqpABcVqQiHG1cybpx6\nuiWxeLGGZyLVdMeM0drx6acH14g2blR7GjQI7nfv82lN5J131LaDDy4+vsHlP//RZ3DAAcHbr7pK\nx2HceivZvr0WpuedVzwUFOiUrF1LXnqp2nnXXSVfczyUO1H/+efi1dFAwlWTSfLcc4Njo/feqwXC\n7t36P5GDLWbPVo+2Th19KdasURFcsEC94QYNtJA59lhy3331pVm0SAfZXHed/zp69w5fg+jQQcNF\nl12mGfSii/weY7zccot6ekVFmpEXLgyf7v331as/6CB9gSPd91TTu7eK75o1el8j2eXW3mrV0oK1\nNCZN0uO98YYWfh98ULwdZs8ePb9bKAZy7bXq2btMnapCv2uXOhiNGgXbUVio9/aXX7SNxh189e67\nfq/x+uvVGbjtNl1/7jkNfQSGOGKlVSu9Nzk5KkIfflg8TVYWOWuWf/3rr/1hkTlzVCHee8+/P5I3\nnAj27tV3PLBwHDxY37+rrgpu1xg9Wr1zN288+yz5j3+EP+4JJ5ATJqhzlZnp3966tRY2Pp8/Jv/0\n01rrJ3X722+rBgwerM5Pp07q7H33XfB9SzTlTtRj5ZFH9IaSmgGaNQv2ipPBpk1aANWsGRyzDxSa\nPXs0nZv8QEn5AAAgAElEQVS+QQON1Q4erCMkCwuLH3fQIL37bgNUuMa0WFmyRAug77/3e4Dh8PlU\nbD7+ODHnTRTXXKNV4ddfJy+/vOS0J5xAtm0b/bEXLFDPvk4dLdBCY78lsWmT5rmMDL13J54YLHiX\nXKLi4jJihD5/n09/06WLhtBOPtn/u48/1nzgNkru2lV6rSNaTjrJL3SffUYec4zG8Dt0UDEvKtJa\nbsuWfi/+rLOCaykffJDa0bmZmX4HyXWe1q5VAW3ZUm0pKNBr+OEH/++2bNHf/fVX8PG2btVnnZur\n7RZffqnbV63SWnVoITVtmjbU+3z63h95pD67Hj20ULj55uQWbC6VRtTHjtUYOqkexQknJPTwJTJt\nml+4S+Ouu1RU+/ePPER6+nTNMMnyjs87T0M8keLR6cybb+r9A8J7l4E88QR5zjllO35+fnRD3MPx\nzTdq2ymnqNcWWGDPmqVC8cEH6uEdcIA/XFhQQNavr439Z53lF8rsbA0dltarKRbeeoucN0+X8/O1\nF9NTT2nbyUknaWioWze16bnnNATSvn10YZpk8vLL2vh54IHBBUzPntou9q9/6f0PFdf/+7/i7VJf\nfOHXjCFD/O1Go0ZpSCaUvDyteb/0koad3Lad/HytYaWqgEuqqAN4GzoL4/yAbUMBZAKY7fz1jfDb\nhF7ounVaWvp8GusL9JKiZdKkSQm1KRyh8etIuIKQDJumTNGnG27+mGhIxX0qjXDx11C7du0KnvMk\nFWzbpo2p06YVt2ncOO3G2bx58bDXFVeoMIV2Z02G/SU9v6IiFfIaNdTGuXO1MGrd2l9zTAbR5imf\nTz3uUNHOzlaxvegiDQ2F4vYy++47Ffg+fVQvXn5Z97vPhlQv/IUXwtt08skatiqtnSCZJFvUu0On\n2w0U9SEA7o7itwm/2GbNtHGkffvYuhcOCdea5THJsMnni9zAGA3peJ/I9LQrnE3hqug7dyYuxFYa\npd2nbdu0h5nL1Vfrn5c2JYJXX9UeOjfcoOK+apX/Wbj95Rcu1LaOOXPC2/TWWyX3pkoF8Yh6qRPO\nkvzZmUc9lCRM6lk6xxyjo9Beey09pstNV0T0k3OGN4Sb8rZOndTbEYl69YKnzn377eRM05tqbr4Z\nuPZa/xxKgTRqpPMRXXCBjoo94gidTiIUdwrj8ko8sjhQRPoDmAlgEKOc+yVejjlG55+4/PJUnM0w\nKgcVxUESCS/oLjNmpM4WrxD19EtJpJ76WJJHOutNALgfT3sUQHOSxcq3SB/OMAzDMEqGZEx1p5jK\nZ5J/f0FTRN4CMDZCugpQoTMMwyg/xDRLo4g0D1i9AMD8xJhjGIZhxEOpnrqIfAygJ4BGIrIW2vOl\nl4h0BkAAKwHcnFQrDcMwjKiIKqZuGIZhlA+S8pEMEekrIotFZKmI3JuMc0RhQysRmSQiC0VkgYjc\n7mxvKCITRGSJiIwXkSg+spZw26o6nwUcm0Y21ReR0SLyp4gsEpHjvbZLRO53nt98EflIRGqm2iYR\neVtEskVkfsC2iDY4Ni918v/pKbRpmPPs5orIFyJSL2Bf0m2KZFfAvkEi4hORhqm0K5JNIjLQuV8L\nROQpr20Ska4i8pujC7+LyHEx2xRrB/dIfwCqAlgGoA2A6gDmADgs0eeJwo5mADo7y3UA/AXgMABP\nAxjsbL8XwJMe2HY3gA8BjHHW08Gm9wBc5yxXA1DPS7uc/LMCQE1n/X/QD5wnzCbowLrFUaQJHXwX\n1gYAHZ38Xt2xfxmAKkm4N+FsOs09F/R7wSm1KZJdzvZWAL6HhmobpsG96g1gAoDqznrjNLApA8AZ\nznI/AJNitSkZD/YEAN8HrN8H4L5kZKIy2vUVgFMBLAbQ1NnWrLSXOgl2tAQw0clYY51tXttUD8CK\nMNtD7doL4JQSjiNQIV4YZt/hAMYD2AxgK3R8Q7+A/Q84v90JYC2AL6AFcQNoIfOrY4/POcYHADpH\nulfQqSz2Atjh/P0F4EUAzWK4P21CXsCwzwvA/QDuDUj3PYBuzrIPwC7n+rIAvACgWkDaDCdNp5Bz\nf+ls7+ms14dO3ZEDoMi5rntDfnMBgA9KsylJeSnoXjnbPgPQCcGinjK7wjy/TwH0CZPOS5s+BnCp\ns3xFPM8vGeGXA6AvpUums80znH72R0OFoSnJbGdXNoCmEX6WLJ4D8G/oi+ritU1tAWwUkXdE5A8R\neVNE9g1jVxVo43gkegCoCaCxiISOZx0L4AfotTUBcDtUbCEi1wC4Clpg7AfgWADfAngWwBqoiB8N\nFertUO8lHyp4zSLYQgAfk6wLLRgucNLOEpFIv/kbESmpE0Gk59UCmt9dQvN+J+f6egC4EMBNIfb+\nBaB/gA37Q52kHPjv+3MAagM4BcAiAOdCvbdAroPev2hsSioich6ATJLzQnZ5aVd7AD1EZIaIZATk\nVS9tug/AsyKyBsAwqJjHZFMyRD2tWl5FpA6AzwHcQXJn4D5q0Zcye0XkbAA5JGcjwjQLqbbJoRqA\nLgBeIdkFwG5oJgu1qzSugd7rr51lAICINIJ6Jm+SLCS5l+Q0kr84SY4F8APJlc65sgFMAnCn87tt\nUMGrFrD/BqjnWzOCLeL8gWQRyUUALoMOmhvk2NXL6dHl2rlKRAaLyDwAO522j/ugXnRHJ75/fsh5\nbgBQV0R2APgHgNYh+4vdN5LLAfwCrb0E8hGAy0T+HrB/BbTGsjcgzbFQr26nc6y/SH4ecA0PAigg\n+VGE+xLWpmQgIrWhNbAhgZtL+Emq8n01AA1IdoM6WJ+WkDZVNo0EcDvJAwHcBa2NRaJEm5Ih6lnQ\nGJpLKwSXNClDRKpDRWYUya+czdmupyba3z4n0u+TwIkAzhWRldAXs4+IjPLYJkCfTybJ35310VCR\n3xBiV1GkAzgv8EXQ2PenAC537j+gnvYyAB+KyHkiEloTmQGgv4jcIyLHikhVqHhNA9AYmodGQr3W\nDSLSzClkfkAZXjqSPmiB072EZJdDY5r1SRY5dl8C9YofgYZ9NolIMxG5xNm2xqkRjASwX8CxWkLf\nBxcBABE51LHh15Bzr3POc4azfjWA90PSzADwfwAuBlAjcIeIXAvgTABXBmwOfR9DbUomB0EL5blO\nnm8JrSk19diuTGhhCSfP+xzHw0ubupJ0Z6IZDaCrs1xmm5Ih6jMBtBeRNiJSA+odjUnCeUrE8XZG\nAlhE8vmAXWPg9yKvgcbaUwLJB0i2ItkWKh4/kbzaS5scuzYAWCsiHZxNpwJYCA2ZBNq1p4TDXAhg\nh+N9/+RsO8s5PqFtCKugIZV1IjJZRA529n8IYCBUzDKgIY1uzl8L51jHQAUv0KaDAOSV8XLXA2gY\nYR8BvEAyi2S+Y9toOFNikPwUwFIA8xwbbgDwO7QgA4B3AfQTkRoi0hZazf8t4Ph/iMgu5zpGkwwV\nbEBFvL8j/PVJhs5WMhDayN4f+p4tFe1t1hfqdZ5HMvCejIEWsJFsShok55NsSrKtk+czAXRxalqe\n2QV9v/oAgJPna5Dc5LFNy0Skp7PcB8ASZ7nsNiWpEaAftLq8DMD9yThHFDacDI1bz0HAvO/QF3qi\nc9PGQ18cL+zrCX/vF89tAnAUVKDmQr2YemHsWo0wDUzO7ycAGBGw/iaALyOkbQmN+U4Ls68q1AvN\nd46xFCq2o6E9AAJtWg5gRoRzDIXW0EK3PwpgurPcC8DagH0rEdIQDGA6NPxBJz8VArjNsSEfwB+B\nzwsablgGbUw9I2C7D0A7Z/kSaEipdcD+SdBYeC0AG6CNug86+9YC6BGQ9mOoV18AbZfIde7F6oC8\n/kppNiUhD7l25Ts2DwjZvwJOQ2mq7Apnk5OPRkFHws8C0MsjmwoCbDoWWnOb4+S5o2O1KaXCYX/l\n+88RvXC9BlpCQzPboJ7wemiDZj6A/SMc62yoZx/pXL8DuMtZXgPg3yH7qwBYAOC/EX4/BCGi7vxm\nDoCnnfVeKC7qfQLWW0NrAifCP1BvNvxdP7+HxkGjuXd/i7qz/gGAdwLWJwUc9x1oQXKgsx4k6iHH\nreMc++ho7LC/iv+XlMFHRoWmhojsE/BXDRr7XQygA9TjP8pZzgRwhejApkdE5CARqeLEL6+DeiQQ\nkWtF5EwR2c/Z3w/aiOjGnO8B8JCIXOGcsxmAt6CC9lwEO/9ukBORaiJyGNRDagJgeJTXui/UQ98E\noIqIDABwRMD+twDcIyJdRDlYRA6M8thPQu9NyzD7HoB2YVwTukNEHnbaHWqIyD4A7oB2Ef0ryvMa\nFRwTdaOsfAuNrbt/Q6Dx3VdI5gT8ZQN4zdlXAPV6J0I9+PnQkMG1zjG3Q4VsNVSgngTwT5LTgL9j\n2VdDewVsgsb7awI4ieTWCHYS2pNkJ7QG8TU0Nn4MtQ0hMF34A2iPmWehhc8GqKBPDdg/Gtpo+RE0\nDPIFtPtkJHsCj70A2vZwd5jzrnevPQw+qCe/EdpgdgqAs0iW1N5hVCJinvtFRA4B8EnApnYAHib5\nQiIMMwzDMMpOQib0EpEqUK+hK8m1paU3DMMwkkOiwi+nAlhugm4YhuEtiRL1y6FxRcMwDMND4g6/\nOAOMsgB0JLkxZF9aTRlgGIZRXmCMnwNNhKfeD8CsUEF38brPZujfkCFDPLfBbKpYdplNZlOi/+Ih\nEaJ+BbT/r2EYhuExcYm6Mz3rqXAmxzEMwzC8pdQPT5cEyd0AGiXIlpTQq1cvr00ohtkUPelol9kU\nHWZTakjqh6dFhMk8vmEYRkVEREAPG0oNwzCMNMFE3TAMowJhom4YhlGBMFE3DMOoQMTbpbG+iIwW\nkT9FZJGIdEuUYYZhGEbZiatLI4ARAL4lebHzsYR9E2CTYRiGESPxzKdeD8Bsku1KSGNdGg3DMMqI\nV10a2wLYKCLviMgfIvKmiNSO43hGBaCwEMjM9NoKw6i8xCPq1QB0gX7GrAuA3QDuS4hVRrllyhTg\n2mu9tsIwKi/xxNQzAWSS/N1ZH40woj506NC/l3v16lUhh+UafnbuBHbv9toKwyhfZGRkICMjIyHH\nimuaABGZAuAGkktEZCiAWiTvDdhvMfVKxiefAMOGAbNmeW2JYZRf4ompx9v7ZSCAD50PZSwHMCDO\n4xnlnNxcID/faysMo/IS7yyNcwEclyBbjAqAibpheIuNKDUSiom6YXiLibqRUPbsAQoKvLbCMCov\nJupGQjFP3TC8xUTdSCgm6obhLSbqRkIxUTcMbzFRNxJKbi7g8+l0AYZhpJ64ujSKyCoAOwAUAdhL\nsmsijDLKL3v26P+CAqBavKMgDMMoM/G+dgTQi+SWRBhjlH9yc/V/fj5Q26Z3M4yUk4jwS0xDWY2K\nSaCoG4aReuIVdQKYKCIzReTGRBhklG9M1A3DW+INv5xEcr2INAYwQUQWk/w5MIHN0li5MFE3jLKT\nNrM0Bh1IZAiAXSSfDdhmszRWMg45BFi+HJgzBzjiCK+tMYzyiSdfPhKR2iKyn7O8L4DTAcyP9XhG\nxSA3F6hf3zx1w/CKeMIvTQF8KSLucT4kOT4hVhnlFhN1w/CWmEWd5EoAnRNoi1EByM0FWrc2UTcM\nr7ARpUbCIFXU69WzmRoNwytM1I2EUVAAVKkC7LuveeqG4RUm6kbCyM3VUaQ1apioG4ZXmKgbCSM3\nF6hVC6hZ00TdMLzCRN1IGCbqhuE9cYm6iFQVkdkiMjZRBhnll0BRt4ZSw/CGeD31OwAsgs4BY1Ry\n9uwxT90wvCaeEaUtAZwJ4C3YTI0GrKHUMNKBeDz15wD8G4AvQbYY5RyLqRuG98Qk6iJyNoAckrNh\nXrrhYKJuGN4T6zQBJwI4V0TOBLAPgLoi8j7J/qEJberdykOgqG/f7rU1hlF+SKupd0WkJ4B7SJ4T\nZp9NvVuJGDkS+OUX4KijdPrdF17w2iLDKJ94MvVuCKbchoVfDCMNiPt77yQnA5icAFuMco6JumF4\nj40oNRKGDT4yDO8xUTcShivq1k/dMLzDRN1IGHv26OAjC78YhndUSlHPyACys722ouJhMXXD8J4K\nLeobNwKjRxff/sQTwMSJqbcnGmbNArKyvLYiNkzUDcN7KrSo//wz8OSTxbfn5ABbtqTenmgYNgwY\nM8ZrK2LDGkoNw3vimdBrHxH5VUTmiMgiEXkikYYlgqwsYN264ts3bgS2bk29PdGwdWv5HY1pDaWG\n4T0x91MnmScivUnuEZFqAKaKyMkkpybQvrjIytLYeVERULWqbiNV1NPVUy/Pom4NpYbhPXGFX0ju\ncRZrAKgKIK2kMisL8Pk03OKyY4eGBsxTTzwWUzcM74n3y0dVRGQOgGwAk0guSoxZicFtcAwMwWzc\nqP/NU088FlM3DO+Ja5oAkj4AnUWkHoAfRKQXyYzANA88MBQ1auhyqmdpXLcOaNsWWL/ev23jRkAk\nPT11n69iiLrF1A2jbCRylsa4534BAJLbRWQcgGMBZATu+/TTofjxR6B160ScqWxkZQH9+hX31Nu0\nSU9PfedOFfbyLuoWfjGMshHq8D7yyCMxHyue3i+NRKS+s1wLwGkAZoemW70aWLkyZvtiZscObRQ9\n5JBgTz0nR7elo6i7tYfyKurWUGoY3hNPTL05gJ+cmPqvAMaS/DE0UWEhkJkZx1liJCsLOOAA/Qv1\n1Dt0UAFNt6net24F6tbVAqk8EhpTT7f7axiVgZhFneR8kl1IdibZieSwSGm9FPXmzYvH1A88EKhS\nRT3LdGLLFm0DKG+e+sSJGjbKy1NRr1JFu5AWFnptmWFUPlIyotRLUW/Rorin3rgx0LBh+jWWbt2q\nbQ87d5YfL3f3buC004CXXwaqV1dBB8reWFpertcwAHVYioq8tiI8SRf12rW9EfV168J76jk5KuoN\nGqRfXH3rVqBRI2CffYBdu7y2JjpWrQL23x94+GF91i5liav//jtgn64Nz7ffAjNmeG2FEUpGBnDG\nGV5bEZ6ki3rnzsDatck+S3GystRLb9pUvXO3VE13T71hQ6BevfITglm5EjjuOOD22zX04lIWUf/r\nL/226e7dybGxPPP66+EnpTO8ZelSoF07r60IT9JF/dhjvQ2/VK+uXrk76GjjRqBJExXPdPTUGzQo\nX6K+apW2Azz4IPDRR/7tZRH1zEwtdM0jLc6cOcDixV5bERs+n9cWJI+lS4H27b22IjxJF/VOnVSs\nUt3FzRV1wB9XJ4PDL+nmqW/ZUv5EfeVKFfWaNYNDKDVqRD+qdO1aoH59nVXT8LNlC7BmjdZkyhub\nNqknm26OU6JYtgw4+GCvrQhPPP3UW4nIJBFZKCILROT2cOlatNC4drjZEpNJoKi7cfWdO9Vzr1Ur\nvT31unXLl6i3aVN8e1k99QsvBKamzVRw6cHcuRraWru2/PX7nz1bx6i8+qrXliSHiuqp7wVwF8nD\nAXQDcKuIHBaaqGlToGXL1IZgioo0zNKsma67nrobTwfS01MvjzF1N/wSSllF/bLLgF9/BfbuTah5\n5Zo5c4CuXbUL7vLl0f/uo4+A779Pnl3RMGcOcOqpwIsvalfXikRRkTozBx3ktSXhiaef+gaSc5zl\nXQD+BNAiNF2zZqkX9XXrtEdG9eq67nrqgaKezp56vXrlZwCSG34JpSyivnathunatFExMJQ5c7Sj\nwSGHlC0EM2JEeoj6lVcCxxwDvP++t7YkmjVrVEcCOwakEwmJqYtIGwBHQ0eWBtG4MdCqVWpFffp0\n9XBcWrfWz8Tl5GgjKZCeXRrTLaaekQFccEHk/du2aX/dhg2L74s2pp6Xp8dp0gTo3t3i6oG4on7o\nodGLenY28NtvqZma43//i1x4uLYPGgS89FLybUkly5alb+gFSICoi0gdAKMB3OF47EFUr556Tz0j\nI7jR7h//ABYtAt5+O9hTt/BLycyYoXHuSAODXC9dpPi+aD31des0PFalCnDiiSX3gKlM0/nm5wNL\nlgCHH142T33cOE2fbFGfMwfo3z+8F75nj56/Y0egZ08taFasSK49qSSd4+lA/POpVwfwOYAPSH4V\nLs3QoUMxbdpQjB8/NGFTS5ZGqKjXrq2CPmZMcEw9nTx1n08bcuvVSx9RnzdPezFkZ4ffHymeDkQv\n6mvXaqEPqGc3b174dAsWqDfvxZiHVLB3b7DXu2iRxmxr1VKRjtStkVSHyR1g9803wG23qagma5Tu\nrl3aBnL33cAffxTfv2CB2lyjhk4XcfbZwNixybHFC5YuTXzPl4yMDAwdOvTvv3iIp/eLABgJYBHJ\n5yOlGzp0KO6+eyjq1h2KgoJeuOGG0o8dz/Db7GxgwwaN0QbSvTswZIj2JgC88dR37oy8b/t2oE4d\nfQnSRdTnz9cRrpGENlLPFyB6Uc/M1PAcoEKwenXxOXny8zU+W7s2MH581OaXK375RUNd7j374w8t\n5AB/+IVUsb/pJs0rtWsD++6rY0E6dVIv/ccfgcsv1xry5s3JsfWtt/R8jz6qhWxovnZDLy7nnhv5\nY+rz55e/nj3JCL/06tXLe1EHcBKAqwD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Are there systematic dips or peaks in these betas across voxels?\n", "rms_over_dirac_coefs = np.sqrt(dirac_coefs ** 2).mean(axis=0)\n", "fig, axes = plt.subplots(2, 1)\n", "axes[0].plot(rms_over_voxels)\n", "axes[0].set_title('Raw voxel RMS')\n", "axes[1].plot(rms_over_dirac_coefs)\n", "axes[1].set_title('LASSO Dirac RMS')" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QijU22bkyI/DkGL/LTtviwVovj/WSTEW8zoUpWiC5p7nUWhy833nK84knnrj0d+wE6Hk0\n2FsokGz1zDXE9rEGIytR91ErPELbqvi0YogAn+vJAL6Hl+0e57FHdq331SkfsI/QuhaRFSRaPcCS\nLYvIIVFlib3Wm+ziPMr1hXqK3fx4pLO1JJtGJOSATdWSjdYx07rI6r9ep/7uh2pZBY6VjZMgXiwY\noYjuoFp/F7VcINh6ZqMwU94mRMSVlIGetTczrMJWmSENiwBpIHHC9nm7bQ+MJcu7xio7dcz9ssGQ\nqqg+ZK8bpUsiMu7JdWvdxgz07DtvLWglJqy+qLDOjESWEWMq4nW+IHrkKHLahJ14EQsOmz8pu6bj\nTBPCGzNrsWfjjbIRIVsV4iUywCaMxXmCLrtHHnnkwu+yk6u2LqAscfOe09oGbcVDeWtdTLeyToyE\n1f/Z4zTS9Wa55CsE4Veo1aiB/cVuZlvH81gdPxXxOodXuT6yM23172bcOwNW0HCFCerBGzNc7DOO\ncFvK2MvxZikQ1jqaQbSsclAViznj+2JhbN3WiPvT21yMmmv4flqx47zzFh5LlnuWuPJcXRVSVWQg\nkpjZch958pUhh6w+Y0o2eW3ISLptoeLawrreW080I47t1ymJV8WdWoQU9FR2kSSDFfsVEbVCIJgk\nuizxGrlYRdxoW8Ei/VomI/LWeho2Axm1XSu4wU6FbDFgvSTWbzyw6Qe0/EdkINKGnhb26muGh56H\nnu6HKYlXRbQuhiN375aFUE/QyO6KeSZ7zTHIjMXrvYtjTdxbKDX2CLe3iOB3Xkxcz534VqQiOzdf\n5ntUiVtjwB5wYcH2IxtOwm60R56464mZPCgzYCridS6AFVh2NpEYOblwErF5dRCt8TNXHRHX5SiZ\nZxdj9ndeTNxWsW49ExdvkQiZ1UVRC0vPuWuR760O5rDPrUxaNTL0CJvPD2Ftxiqs31tjKuJ17IBV\nsCBkgz395e3cWncsW8XWRNBTBnoHzbe2lc07xCJ7nLcq68OQo2yLS09ED+awrvaeGEW+K64FrYSI\nvT7jXSMyESFrI2HFeI2w7tXVJkE8/vjjh8+YhHQkeloqcAHQJ6AwMLfnKTHPZVFhgo0yi1c4negl\nRmXJlpds1IKXc4yFRbbYe29V0w4PDNy6dav5ftjnek4jWi11FebmVmD1MJsyJQOta4NXcouVj4i7\nP6IvMtbByIlVzMf32muvXfidFeOF/cqeMj7WGDEV8ToXJo9UjCJbXoxLNtmyiFzGCSjP6mA9l53U\nPQvJsieOsuEpqp7va4ElG3rMsK0ROWIDzLNzM7GLQ2u6Ed0nSPIyyBa2DxcE7/0iZGsLmYwiO+Yv\nsgHLIFtsn7eODZvQGJFhpe958tZD5FBYawkpnYeQTSR7P0xFvI614kSETO+i8R5ITDKUGLqCtDCj\nMOnagQw8ImjtlDS7R2FiM0lbbciGFnTPBZsJlEHdBjbHjpWoM5K0kD0p5cmXt3NDmcB7690ivgfO\nIdwIaRnCvmRrNXpyjUoSFa7WG5b11ttcYP/h4sxa3bySIq018kYSKnxf/VzsP1ZXo071XOPY5yhH\nXhhFdnF7lhiyNQV7jpvlRvPaHfHUaD2QXfi+FZ6V2KqUgLLGjpHuh/uFTkxFvM6FIZInRcSevAit\nOK30AxlWLRycO3fuNN8PwQo9vl90J9O6c8PFXS9QbD+PisFBGTi2PtdliFgxUHa9epjeQoYmeJwX\nngx8+ctfPnz+8Ic/bP4O74HP0SQFyVYk3kvrASshK2tBQznU8mRlCWctKaxsZNdCZMkCoxtF7FyB\nIu2WU0+vW23SY4uhJtnEy+o/jyxv5d7FNrBpEyJr2sjYzAjYygZodY6M2bH9MBXxYkyNkcnroWcA\ncKsZNBvRANTWndtWputWRBV7qzJmi49j+/RYWrKn4yAQ3/md30k9F3H9+nXqdxlzy2q755a2xjB6\nOjES8NxzcWaJHKsbs0MdspMBbxHX6/XxqHhTLWvZ8Wk9U79shS1jHqciXr3gKctRjL7CScEKJ30q\nomex71HIkKfs4G42WDa7VE5PROpKVkdP8lA97qwVow589JanVrKVsdHIlsOetZvvhzlXEYXWzqhA\nOCJHwmdS3jNjVrLFIlKrtGcbsufjqdTK3Gruj7LUVNBnp2jZ2QrZZYu2SNzaSyanWlHO3X5RK1Rm\nbaatUEE5aZyCRchDhffrWavRk6nW6gWRo+fZYBU9xsR5hwy2QsW53worvrBCHc5s9HynrVKreKhg\n0KiKqVbJVrdfT7JVbeeWDW/HcopkC1Hh/baq1WgpcNZtyBbCZmOjerq9soOxMzCTXomMjUXGe7/r\nFiVwtqrNWwFbWQ8j82dExZDtV5QTQXWl2Arr2L3Iabx7z/iB7P4ZmZspoqwiiov9XfUFJhszza1R\nY8POLU8OK5w8rIaZSD6LyHuMsNRNRbzOJwu72OhOt46Ej2TjrHAziyubRLRnQtcqaFUa2YvGqCSu\nLLYqwu4RWtYNuRfovRrw9JSl29iyaVr3s/VSrxKq6XX2lH1GDOdo0jkV8bIWHIukeLucrRApMBq5\nF6tAtopfihTgjiQO1YhYi6z0A9l5z3rWk6umVEUu5lzy0lhE3J0IzCUm0jeNS2scaTZBnsmKEbGu\nsnPYI+xIyrw5hwl6PXm14NX/nGmcPDDriVdyDtHbCm6lihoxFlMRLwunfiQ5WxCsRJM9kRH8mRHn\nhO/L3gP7PyO9SKuiiSBjQY9YUb1xjixeCN0Ga55oosVY0KLy2hpHmq3oZ17EET0t+OzYtsqrp2ur\njRMr/3osmPUkqruteRvdsFq6fLd4NaKnBcFDthUpWxBa+yGyiG/lIspOgTCrqytDhlqD3jNcAp7F\nEp+L7YnkBdO/sUhdxoYC38N7LmJEAPBl99+KIFxlF2BPWIemWDmukNaEbWul2OSpiBdTJLvCBN3q\nFBzutnv2EXuirQK8wt8zwaqDNzItygc/+MHD55deeunCd4zy023FGC9djNaCt1v2yFYrrPtlEPHW\nmBR2QYkuPK19GSGJW22arxpGhd9UWCMq6f6piBdDaLwM2ExAZbZlIHuwPcsCkozsHTEb+Np672xX\nagYq5PHCd9oqB90//+f//PD5/e9//4XvGALiFer2MPIU54wYRaCiiOifrYhWdVmzNte9U7C0rien\nmCAc+1Vbvu+3TkxFvI5FRvkOXHRRaFlXRDaiZtVWZFcH8AhyK7LfPZtsjXQTZeIDH/hA0/XRd42e\nYr4q8IKV90zsx6Ei2UKwMabeQaQIRumpmeawxwfuh5MmXhlgF93KAlMhq3Hl/rkftqgRFr1Xz37u\nmYW+WsoIvcCNsjJGXGweWTgVsmWdPJxp46LRWvvUw8z69ipgJ15F8MADD1z4t1VdPvtk2Y77wzpB\nE1X6mRYvNj9RBp5++unD55s3b1LXsK6bajKq598WsTAs9OawZ03NrcCeqpuJcGBqmmryXwEVDAa9\nsBOvI9BzV24RLY2RO7wKVoieLtzWDOtRxcAmb2TeNxInJRJzqbBki31OqwWt56I7k6VIE62Ie3Em\n93cFvZQBtu1WbriM2NMK8asWvPmN32XottGo1dPF0XOSa+HpeUKLRQWlhu+erSRaF5hTz3afAW/M\nWt2V0f6KkPnWDUC2VcojH62nJFlsdfIQ35ddnLMP7UTih6P9Y7m5M3TgFmSLlRst11ZccIZu6+n2\nvfR53Z+wg8IMLP1YZCs+nBz7cfM5kE2Qtzr1al3D5iY7xXxyFeYcW6sxAzOdzhwFj/gymeE9ZFRm\nYTHaPb8TryTsp4feiVH1AKsjmyS2WmyOuS6zTdEEqlZtPn0/ywqUkbjVQvW5Pnon34LKbi+NmdIe\n9IT37uwJzJnc3FmoLd0TgVXA1jHfU7R4RTBzsKyFCqk9evcjc/8MkhIJ0K9OjnqiOtnaonxZBjx5\nZ2PQLMJxijrQw1UhW4h5JP1EkOmbjlpSsneWrYWBEVElcyoBt6cAlGs8ufXggw9e+F3P9BTZGJVY\nU8+fjNqgvcASBM8bsEX5Mo1W3RFNPYJt32oujNKb1S2EVvt0W1GWW9bOKYnXVjuCau7EqNJqJVv6\nNF9mjqPo2LJKA8cN+wEJQkXFYEFbNKw4uGjlARxrT+at7zTZQvRcYLIVvUW2st3IlYmWhtevVnwP\nexKYPYyQMbYRwoHjrPVfxHW21cZj1Ca1uk5ly2xlWWWnJF5bDWIFsoWocKooG73H1srqPVOcAdY1\nfO2118zfRVJkaLAyb+Uk8hYotuRJBKN0RHa70fIhUt8SaMEikKzu0EQLZSdSzHkkrLx/HqonwbWI\ndE+8973vvfBv1DGzY0ridYromcMpikyrQfVTiNXao4Ht88jWVsDFwZIbrbCrWZB7gp3fGUTrFN3u\n1SyB2acpUf63ylfo6fst+n+rmrQjsBOvIqhois1sE5tvZyZ475S9+FWUDwvZ7uFTwMjxu0r9eorI\n1ocZ6Ru2QLX2ZGInXjtMsH7vCNh7YCklNrt/BBZpErGtMZ5i2Grx60los8eiGuH2dvytRPoqlPVp\nRfUA7K2w98txmKG/duJ1H4zybfc8MBB181VYGHuSLYRXgsJCxVpiPcdMxx8hGLehHktdn3RrZBPp\nmXJoVUDVRXJr7P3iY8b+mYp4nS900QUuwoRH+bYzcjPh+7HxMzMlLUR4RNV7d8YipPvVIhwecWBl\nLXt3hvfD8cyIl/DaZ8WoeO/XU/Za+1XHWnmk0wJLtlrb2jNBbAa8ORexJGakXmDn/izwTjefOioY\nCI7FVKPTalGYdVIhIkWRvdxAs05QlgRoMP2nf8NaZiLW0Z6BtBGyFbW8MoRWn1LqSRAi/YrtzjhB\nxeb+as09ld2P2UWHvTkX0ekZBxAqrAWZYQEZejw7LnUGl99WmHPVTQAuAjMdU40IsCYB2ZYGVMxe\nAdsIIpYjxMjiuKOsoz2TeWYUnrbu5xW9jchKNHGlhezFoWei1Z5u7Z4yVd06MbIcV7W+yJapUydb\nLcRyKuJ1/nLRI7GI6kdVe+4WWsmW7v9RlgvWhZiNagqy54KeHbfWs++qz+GrDCtmsvdGoVXeKpbj\nOgVUt35F2oe68li5m4p4MS8XcY1UROX2nUoC26uUR4qFJloz9VF15X6VgP2PFvatUiWcCmbN0VZh\nPnoniyPtw+uP9XZMRbzOgyq1j5/dUUXci5ag67gf9vTdo48+eviMiTAzyk5YYE3h+h3wukhcRST9\nAGZlF2lPFuplAreIhL4GxwbfSU/kyMKP8nDr1i3zd9hWbZVCWEWH9byw2sdaQ704IMuVrfsV5+D1\n69ep53roqdxZ3WFZerxAe4/cMicjPRnPCKnAsk+vv/764bMX1N96otOLS/VCJfDd2QMRPQn7Y489\ndvh8586dC99FKmdkxzmzlkmrzz09wL7TqDqoGSeL8T1QJo894DIV8bIWf3awIorHEvRomgNvcUVk\n7uRYZZJ9vD/SR9/4xjcu/Lu1HyKEUU8a9h4Rpc3KQ0QhRRSNvsYiBV57LPKm+zWDbI0CqzssS48H\n9tSxtQn05NNrN2vNRLKFYNsdgWdB8DYHkdOnVlHkaNodvMfNmzdD9+gF7zmROe1dw75TRLeNihtk\njRbHegOaiNeyLF8Wkdsi8paIvLGu659cluUJEfm7InJDRL4sIj+4ruvNs9//pIj86Nnvf2xd1185\n+/v3isjPi8gDIvKZdV1//Jh24CTNjvvIdrVslWYggi2CYqPPaVWYGWU1Iqgwzh5ad9jWoi3SHmvo\nXe+5t1r72dM3rAXBImheqRZrLKJxeaNc9557DH+HBNKzdGOf6LG1iKbXR616ruK8PXVkrEcWucc5\nHYn3Ern/HGy1eK0i8mfWdX0V/vaciPzquq4/syzLT5z9+7llWT4mIp8UkY+JyIdE5NeWZfnoeu/N\nfk5EPrWu6xeWZfnMsizfv67rZ/XDXnjhBRERuXHjxoW/Y0c9/PDDh8/aesLsGPWOqedxf3QDaGsT\nKuNWd5t+B1ROXgoEffyfwSizsQZORPzsxSxZY6tdAthH2HdPP/30hd9FiARe47kBLBO3XvitIuAa\nOE/wfnqHbhW51orGsrqgm+qll1668N2LL7546fXXrl278LvHH3/80ntrqwo+ixlnDewTfW/UC9hf\neo6gzmG6O2JDAAAgAElEQVStPp47lklRkqGjrCLUIu1Ezrv+kUceOXz2rEOvvvrqpX9/4oknLvzb\nKiDv5ebD/sf5jfJ0DKz1xAtP8cifFTLgjXvE5Yr309ewY2vJK0vyM5IOY9uxfZ4VtZXIeSe2L31e\ny6RdluVfi8h/sK7rK/C3fykin1jX9eVlWT4gIv94Xdd/98za9fa6rj999rvPishfFZEXROT/Xdf1\n3zv7+w/JPTL3X6pnrc8991y4rVuhYnbzmVDdInSVEBmLmVIJ7NiRgS10VvUkuiNRac14/vnnZV3X\ndyi+DIvXry3L8paI/C/ruv5vIvL0uq4vn33/soicmwW+Q0R+Ha79Pbln+Xrj7PM5Xjz7+0lAEy3L\nGuNNnFGWIy9IN4KMCbD1xBHJyZSdia1K0bQmJdWbEOxXy1olss0i4rknKyn2LLDZ5fF31Rd3b5ys\nccvYHHh6vRe2GgvPsLDVCcxIHrXRY9ZKvP6jdV1fWpblfSLyq2fWrgPWdV2XZUnTTJ/73OcOn599\n9tl3uBxngJWXSmOkm+4c2aRiZPLSnsB+qbDozlr3Tytfy5XTexFhFgRvbCOKPSMx7Va56noumj3f\nL5JwOQOs7q6gS1rhyUZPuclYF9i1+Bi88MIL8pWvfOW+v2siXuu6vnT2/z9cluXvi8ifFJGXl2X5\nwLquX12W5YMi8gdnP39RRJ6Byz8s9yxdL559xr+/KJfg4x//eEtzU5EdsLsVPAHueWgB4Smgau6p\nWV1spyKvGYgsCNbJN+9e2RuPCKov7hXbNApX+d1bUUGnXoYbN25cMAh9/vOfv/R3YUq6LMtDy7Jc\nP/v8sIj8xyLyL0Tkl0XkR85+9iMi8g/OPv+yiPzQsizvXZbl3xGRj4rIF9Z1/aqI3F6W5fuWe735\nl+CasljX9cJ/s2JZlsN/Gm+88cbhv2y89dZbh/969uO73vWuC/8x0GMbaR9eg/14Wb62LWQIx92T\nAcTbb799+M+7n4U333zzwn+tvxsJfL9j5WlLeGNWGdjuY9r+nve85/BfT6D+ysYxc3IU3v3udx/+\ny8Y3v/nNw3/VkTUuLb34tIj8/bMGvFtE/s91XX9lWZZ/JiK/tCzLp+QsnYSIyLquX1yW5ZdE5Isi\n8qaIfHr91mrzabmXTuJBuZdO4h0nGhEVYkAqoufu1hO0yLNGnXKJKMbsOA/PKjJKsWbIA7pcvYS/\nVloBvRhabdLKfVT2fNZKmSHvrXIZcXdWAGt5jbqpMjeJXlsrFHgfaVXvuQGqEDfLImtdDROvdV3/\ntYj88Uv+/qqI/Fnjmp8SkZ+65O+/ISLfzT5bC31PwpFdUDqzrXqysZmyLbC5brx2WL+LuhCtHEf6\nfvtp0f5gFzVrbPWYscG3ozZWPRevDIvTzJb1c8z0DtXbGpHX3WhRA1Nlrj/HyHgVy+ISJWGZbdX3\nat2VeIuf9+7WO7FFRNlYMiuvVXVUj6/K3jmzJDibLPe0jLWeMu4ZOD7TXPBQPR6tMrwT6VZS3x3b\nYUritdWkZMnWVgrEIkcZC7/37taCxy6sLNnK7stRaRmqLyLZC7eVjLO3VbJ1UfFkjSVbLCFqPWo/\nknj1fNao8Ijqc7AV2e667NRCHlrHKcONPxpTEq+RiCjIasQwoz2eNYFZ8KLkr2dfItny3i+Sxyjb\nRd0KHV/llanJftYW8DK+98zJxRKTCNnyKjL0RE9i13N+R+59iuEMkX7AKg4isUoQLKw+Z+VuBqKl\nsf2KcATOy3HoeAkstuu5BKxEmF6ZIZxsWOJBL6b4XBQYLGEhcrGMBV6jCwbjc61yGd4pEBRgXQLn\nfe97n3mdBY9kMK5Cb7KOCp4W4Upa6LZi/z366KOXXiNy8T08ssW6rbAcDZYywXZrS53Vz3pc3v/+\n9x8+37179/BZyxSr1LAmI+bnevnllw+fdUkYLBeDc+YDH/iA+Rwsu6KLsONc8xK3Yltx7mMfs7vo\nbHe/h8hmBdvjEWKUAV2yCYFypGUFr0M9qhdxhHX4Qo8tqyNQrrEAPXtiLhLOkFGdhO0vfA/sB61v\ncJ7gNU8++eSF333ta1+7b3tEeIsXyodVDo09bKSf2Xrq0ZvTWHrKWm9FRL7+9a8fPlulzBg0lQwa\nCSwZ5E28VvbbO4/USJIxClZB3FlkS4OVAV17DYELx0hrU0/gQqbfHZVkz0znnoUK24DzzCND1v30\nQtZKqFiLrycPSBj1hm4LVMy517PiR3YmdvYQioUMFzBTCzQKayyqx7xmolfJoE2gJxQqSdxF3759\n+8LvcFdn7QQ9hRZhu57lA60neiLj7lvvPixgv+D9vEnpKSokD15agC1MvbgIiVy0svzhH/7h4bMu\nomu5azxLimUp1VYk3PHjPbLzoD311FOHz1o2dL9YQAurVaxX5OI8waLWzz777IXf4XVWX+qdpGUp\njVhkRewCxx5psmLQtNUH5z72ndYx1uLsFZ7Gdmug7LFkC9tglWXSQLnRlgaLZOh5z6ZQQbBlW/Cd\nsL/0BgCtRXpsrOeyVmKWmFj39ggHzhP9TjhuOE6ehd2agxmbHy+MAjdn2F/4rtqi15P8sbAs36zu\nPjYmbkqL10jMenpo1nZHMaou2BY1NDVGBg1nxqp5KRVY98MegL1jR11sVZ+xKk7K4jUSs5KWSLsr\nug5YjJrkFQI5RxKEVrLFxnZE0pVkYCdbO1hstZkddfqahRcus88nDjvx6oyZ/NkzEa0dc4BNwlvh\n5CeL6nGala142fowY7PIjudW+rEC2UJ4fWQdMqsmh1tjHm3XET13Mj0FbiZSNxLZ43kKCiQqKxgv\nF4m9qt5fEddIRbKFqN7nmciY36PGc6us8VtZzEbJYcap0tE4CeJlLYzsbggD47yTahlgs7QziAq2\n1QYdVO4F1B+L3knuMPAYU3ZgsKfIxQMNCI9cncJCFn0HJFvWIQMNKw5OK/2ZrFw9ybcXWI3wDoAw\n0HMY5/6oAOeMvmPlsBqyiZY3ZqPIlidT2bDCETTRqpZD8TLUbNWRsCYzuxvqTbYQPQWztQ0Z/WCR\nut6xUUi2EBbR0tgqz9hMwahIbr3xtL6rqAS3SoocIQwRsoXQ834mAoMyZZXDEamxSRplIfcIskW2\n2Jq7LEauZ9YpSY2Kekajfgt3TIUKxDIbPV0C1ckWgiXP2QvPKZ7QbU0GmQGWbI0iEt6JYWsOViBa\nGmybtrDMzDx/Ko51FDvx6gCcRFqBsMLT0/RfwcrS0xQeUWgV+mQrsGNhZUQXsXejGaRp5sViC1gV\nD1hXb4YViZ1Pre5TFhmhDtkEdAbLzJbofcrektERG42pRv68EzIGoKf7iCUS3qLUM86CJRY9+wiJ\nZfaE8hSa1eden2STsmqn4lh5xf6KJJPc0Qe6j62ErOxCn7HYsPOkJ9lCZIQ6jLK4jCxQXRm9dYcl\noyPGeSrilTkQFRa81lxb3vUZloaefbTVghx5brYFLNKv2buwmeJ7ZsUoK2rvheIqW4O3QM/5OHOu\nxlb0PuB1DKYiXjv4orfehNoiPUK0/MaOe9gquLuVwEdkjV0cvN+1VhjIcLd5JGXkBqoVp0622LJF\np4CrRLQ0tCV4S+PLlMSr4kkWK/4lm2Bk3G+L/tqJ1v3RMx9NNJWDpagzij4f+8xjfte6aPaeIyyh\nal0oI8R3xrxILcB+mYlsWbV5Rfpuklo37lut362eBhG7rcfOmSmJVwWipRGJf/HQc6fLug6qJQ7t\n2SdsQD72nW5Da5t6LnDZgbzagmllrB4JHBuUFa1wM11nUfdF63PZOEFv3kbiHVmdEDk8kzG3rH7J\ncLFV04fZFpuoRbr1OaxFewuwbTh2Pk9JvKrDU+w4WfB32vWDMTjZAoht8pRdtSBwbLfuV6ut7ELI\nki2r70RsBdIzYzWrxDJ2mZhMFTPas/DySOFmBU/licQsYJ4itL7z5IYd2wgiG4oMGbKe6+3e8Rov\nfAD7hSUsETKq+6unnkIC6T3H2sRF5yDTf976kUEYLf2aYR1tXd8qesDuh514dYAnfJaiHnW6R8Nr\nK6vEmImdQT5Yl0C2m8nqowolZtiF2iOqrGKOkC2LXImIXLt27ej7eWi1tHlyk704VECrXHuW/UxS\n4SHyHJHYppL9nbWJi8oQc52XFy6DiFjvXsENPQPR0tiJV2d4bo5sgYm4HzIWBOs9Zs1Tk90nFRbd\nbFKhx9ZyJ2nr1SzIPgG1x1ddjki/4HyKzi20EKHset6KUa7GGS04MyAyp3uNxZQrY3XBzAjWjMRI\nRCxUPTGyIGsEmXUzNSqQrZ6I5P7SqEBOrcU0O8iaJarZrhp8j2ger0jQNQskQJ7Vhu0Xtq2R/u+5\nzmSn7Gg91XuK0Dqe6ec9gSpgK6LVUwFpREhLa7HwHffHTDmNvJgUS1Y82XjkkUcOn/UiaS2anhV2\nlByyMUs90XMTouUQ3ylidWZPWWakiMkunVRtE84iW5e0kq2ZC9pb6JmP8dj+nr83ZRy7rz6pW4uF\nXzWcYl1JRCRlhEfSv/GNbxw+s/Os2qGMbIx0DVoEOWqhakV2ipitTg3utUXfiVMgWr2h5/4xmKp3\nz5V9pQy0xyIyya3aax48y8wpKAYPPetAeu4oq96Xh2pH1D1ZQUTmoLeLvnXr1uHzo48+et97ZaG1\n/yMusOizHnzwwcNn7zDOKDnKJp1byX9rLirv4MopAuex7jvvFOc5RibTZte6iPEG282uy+eYinhV\n2D2fI+q+i0zyYwdVhM/Fk+06q0AkIvFHrGu29TSm91y2fSxef/31w2dctD2w8UIReLvoCNnK2ICN\nktGMrP1bnXy2UN3VHgGrD2dNuqoR0f+t1rCRybQj+d9YRNblc0xFvCohw1L0wAMPHD5nKNXIQp2t\nPNkM5hUsbaNcs9H7RUgBkk6WbGUDd7Q9lWz1BQ/fXW8GKoQFREgGfu5JvDwLYc/N3SmSSQ/W+448\nwGYdcjrFOLNznMSbbGFlySAS2TvYCq4qC3rSVF80LVj5r0RqKO2IcmLN7Ow8Y8lWz7QmbELQnqgQ\nQ+iNWcRNygbeZ2c3Z7+zkLGIsycwWUT6a9QBqpFriTVPehOtLb0zJ0G8ImZ8S5noe1m7QnZHlo3s\nbPJeFmKrXyML2UxES78f/juiDKrnZmLHJls59SyFhXJdrb89ZFsaRi4olTd+GYRxqxOYjB7eSsar\np3bysGVbpyJe58w46r7oWRPKcytYwOP5t2/fpq7JjnPDRdfbNXnuo0jw/yhoZYltR2WF7+edVsH+\n0mU6LGQoRXa3jbFSGLD+0EMPXfgdvi+2T5MwzC5/8+bNS++tf4f9h/2tr0FgG65fv27+zkNkbkRy\nuXkWwtYNmKeL2HnG1h3tiYh1CN8dT9CK2FUOtC6yxlDLBsY/Yr/2jCN++OGHL/xbv+M5euZ8y8ZM\nRCsbLRazqYjXyKC8c7DCHTk9x5ItFpG4EfY7VE76ObgIsG6rnicPEXr8LFLl1c0cBR2ThYuDtdDq\n8bPIzWuvvRZqE94Pn+UFw2Of49iOPK3IIuIOZN2xnmJm5yrKJbupsfTkyEUyYh3Cd9ckxULUnTsq\n/hHHwiJaGqwFGn+n9doWa+VVQ8t8mop47fCRvcOOCBarNEZltWcVUDbZiuyGkGhpsIcWstF61H6k\nxSVibcL2edbf1vZoRGtstj53FlQ4fJOBCDFkxw83uZVO/O+4P6YiXue7du02seBZZnCh7Rlkp90m\nd+7cufS5Gpnt8GKMvDgB3KHhCcxIUdnsGK+esQV6t473xn7wEGmPfu4oy5s3TtiGxx9//PD5q1/9\nKnVvJJN6x4/yhm73KFnbIqDYc8/31CtbBQZnn1i1dLm20LKpUSI6pzVulp23bAC8vp6xHup7Yb96\nlrbWk/Weq71105V9YCA75VNLWMFUxIslXOfQncFOiEwg0Yqi9fSLt2v2vkNzfyRLL1q1sg8j9Byz\nrVyNGc9l+9VSinqO4QLokS1rwcNFUhfMzlTSUbRaXjM2T61xZhnWYzZQ23Iji1wcQyQLOO66v1gX\nOMqRF6bgxSsiLIIV0UvsvGXvpy3fkZqCrFvTIlvsgaBsS1uGXrcKqrP5GVnCblnLqWuP+vWJIkJs\nMrLvsskqW5N26ols7Rj1wogWwgg5wufqBd26nxZg690zTgri4hBRnnr8ImPWM4Gt9364YKHyZS16\nGvjullXE6xNvwWOVIsq157Zlxj3D+uiNrVfzEIHExNIxXiJZlkh49SvZBMIoU62bCG9+e0STJa6W\nHEX0XLb1XcfyWXPSmxetByx6Bu57hD07Pyb2pbe2WPLgzYUWL86UxKvCkesMM7u3UKMwsoG41u/Y\nQFIveDcyIY61UIrwhCX7pCALT1YiBLmngmPfD+Uj+4QvC0++WAXnkS0E0y8Z1kc2Kam3ADz22GOH\nz0gq8HpNNiKlqzLS4WRaLaPzImI9bEW29Z3d/LCHlyKIrrGMHPW2blvrWEQ/94o1nJJ4ZZTfGHWq\nzoMXHMksNhn9UCEXzFVGhRJLrckbd7TBm+vMSUZ23rLxaDOjQtLaU0B0fmfK0cw5wu6HKYkXC08I\ntiJbFrZKMBohW9UnxKhkthmo1nc9oRfFWZOcboXWwyrV50IGZpr7pw52U29ZKU9ZN5408dpxD15u\nIG9CWK7QyHHnkcQy+3Qbe7+ZLEKRtra+U5XcQluMU0ZM6EzVH7LBEqrKZMuLW5tJd7BgN1NX0Up5\nEsRrqwWeAZuFWCPiAsyevK0nVtixiJRs6onsotYjLYTW6VPdd6PaUMGS5WU3H7XgjSSdrf1focQV\nu/npObe88A82vQVC96O1sfXeKbLWjSR1luxll7qbHVMSL4/MeDujiAC2KrGoS5N5VlTpZCvSnqkh\nKizcCDZ9wFa71gr9VaENCG9HPWqcRpIZNk8fc71GT1detbQy7AlaDbbPmZQWx7TJwkhdNCrtxOyY\nknh5ZCY7KWm1RQTBnrDzJmuGIq1s3s+GlSNGY9Y+6ZnUt4IlZStE37XVWpHdxz3lurVKQvQe2bhK\ncr0jhimJl8YW/nEvF8koeHlJrPqJGjMRhNZEssdcx96vJ7aQ657Pqbgg9TzdnJHzrQKRQFRzI1fr\nnx3H4yoeiDgJ4rXF5NO5VnqekrQEUyvsSDmPjMV9VGqOjJIumW3orSQqLCpb5EXykN3/FVLJRK7p\nGcvqxVe1kq2KFqpRYN+9eh9lz8FTIFvHjtlUxOs8m3TPki5sPi3W3ZkxaSIFf1lktK/agQY2WJ+9\nxlpsvJNqEeUUyeXGTvjIvS+7/9bIaM8oMpm9YOKYeRazVqtU1IVulYCyYnB7w6vIYI17z0MQ2aeH\nR1rEt7BKVThgweLYZ05FvHRJm3NkKtIoiWA7HkkjU/xUgy1D4gHfEZUT1mbU7fPILr47jhG6O734\nHrZQK46zfnd8Ft4vUvfMq0uJfewp6Yhy0skyGasIK3darvEdcc7oNly7du3w2XsnXQz+HGytUram\nGn7nufs961AFy10ElrVb6xGUy9bSMRqsvLGWRGwT6hi21qAHLwN8a3WFzEzuIiK3bt06fH700UeP\nvjcLLQOWHEVP42dCz1tLfrOrbYzYKExFvCzBRUW6VUZ6dqGNkC2EdWJJf+cBJ5smWwjWsoh9bmXa\n9trmkS0E9p03IdjSMawLd9RuTysW6x0tJeFdo4HjgeMctSZHisGj/FpH5vV3CI9IsBsolvSPgkei\nrLxPmmBgf42Mw4pY2lB+R4YpjDpB6VUHwPuxZMsCW1tU97FVjzdjLFrXYs8QkA3kECNSX0xFvBhk\nT97KgX8VgltFxhHcrU5obWVatzCrxUajgvxWIFsIlvj2dKewbmk9L1rT7fQ8oBRNIp2J7LATvF90\nw2QVH88YC2tdYF2DPYmWhxGpL06OeGUjsuhWO/lz1cC6BCon3j0VeBsXy1JdbYNTHdkxLuxciLi5\n9aK2xWlwkXn1ckafWxg1Fp71EdtaraxfJnbipZChxDImdU9LW897R8zLLFFif+e9H36HyskiAZfd\nozIiY+sFISNas2brHWw22bLucSrk29rQjQwmjsgXtptNbZOhB6w2iMSyqs9U1mdUwtKM3HzYl1ZV\nieo41pU9JfHqmYixyoTqKXQ97x3ZpfSsFche89BDDx0+a1deBcXcuih5Y+6RLRzPSLoSRNQd0prz\nygsUrk62EBWsNBHdwcpKJHDfO2DEbgJRpjxvhdU+L58iQh8Os+JhZ0LP8I/oSWxEq85icey8mJJ4\nZQz2XjtqPvR04XpxU6x89CTtGVm9I7AWspFonZ/e6cdTdmdoZASYZ8M6Be2BlYfI2Eb0CtueKNHa\nIn9bBdnIeNeRNVKPwZTEKwPVyVa1SVABrFKMLKxs6gzEVSiBE5knEYKcXWPVAy6AW43ZFi7Oinrk\nFKw+vVFZPrYi8zO5fS/DSRCvnidjXnvttcNndEdpsAs3u8PzjiGfo7fAjTpxhNB9jP3PovXoMnu9\n3k2hgsT7ZeQkQkRywemj2a1t8mLnLDKjn4nvgfLFEtpHHnnEvL+3WFUgyCjX2A+s28pDtnul5yL3\npS996fD5mWeeOXzWOhTTLWDOKw1r3unTq557nYG3uevpTbHWGf0+7Gld/B22NVL5ZCR6rn2Rde9K\nxHj1tFbpSeSRLQQrqFZSUW8x2IrRo9CxSWpblfTdu3cv/NvL75QJj2xZE1GPGSrcbLKFwDxlrNxk\ntydyukorMUupscTo9u3b1O80ehIJlhRb75gh47i5ix5CsX6Xje/6ru+ifnfz5s3DZ29TinKO/d9K\ntDQ8fYFy3VO+EJpotcZ3zmTNZ9uq12hrHbPWPe8aNtnr4Xv326LoaXplGW5GDptRwpwxiVgrUKui\n0W3r6ZLB+3nKyZKJrfJpsePH7kZZJd16qrRKvAVTIy964IO1QLJ9EbFeRUrOeKiQHidi9c8uLWdZ\nsrLTeWTo61a3oXdooZprj+2fiL7W11ib8GM9QlMSrwpgha9n6QU9Qa2dYPaR32xF403qVrLluW4s\nUqf7h138ehaP7blzRiusfk5rCgm8t7bmZC/iKOf4OeousDDSvdJKVjPcXqx1rnWuRlw8XhuyCaPV\nf9lzsxq5FalBtiqQv6yQm6mI13lnZyu+UVaVbESCzY8BKkLvmG8rWFJnHfv27se21fvdVvEOPZUL\na5lpld+eBe01cD70XLx6bkKy4c2Z1j7yZGNUAs/qsXxbkYXWk7sZsYbZsPpP/x3ft6eV3drEi9z/\n0MhUxKt1YbN2QJGdfEbuKe9+rQF+GSRgVAkPbLfXXxkk1uojtr8rpCEZqcwxxjFy0AHhkeUKi2QE\nUSvZqEV4KzchOzci84mNN/X0oTXfs+fWVkS81bNSgWix0GM7KqQBZffYtWkq4mVZvNgTLxHFk31C\nSCfRO4dmyBHSEyESHnqSjGyFFDktioi6NlqRTeYR2FYvGSSOs743ki2cW2xR34oWCbTCsclULQsC\nW/4kuml48MEHD5+xv7zDEuy8xXvgczx3M4ItzOyRPzyZirLmyTjqZGy3vr/XR3gd3s+rYFENPVMO\nebnvZgW7+WHnD7sBuAxT9aYlXNaJlwxEyJY3Idi8Na07VXaieMITIRlbWYSsfo1ki47mpmnNX5Ud\nDxjZkXnKiSVbiJ4nvKJg3KyeBRrhyUZrpu0o2HmnU4ycgx0nTbQs+ffKG7WetsUTviI88WVOtEVh\n6UA9Lthf2C8s6cF3vXPnzoXvrl+/fuk1kZN9I9Ez7Ee/q/WO7PxpmatTES8LKIC4g9LC2Kr4rdw7\nIv4plwhwkdPvcSy82A58J2/hx896l4mw+mGrRZd9rkdAWeth5LShp3AjYOsuWmBd41oGcAG0XMe4\nQRKxg+GfeuqpI1r8LTz22GOHzziGWv6xj3DMLIuxRoZcWxa0npsV3VbL6ultNrEvtV7C69BF7W1E\nUUbxO02oWFy7du3wGWUgUvg7qsetMWQtLl7aFcvaahEtja1OYrMYmbEAxwM36N7GLMuwMBXxOp/0\nXsqBaG4fBmxOL0T05E8r2ULoduPCg8pSL1D4Xavlbyt4igYnIpubLAOt/eK5v62FLDtehY338haH\nbJKhiR0Daz56CWcz+tIidlq3ZZY38ioCsJsG/J22gFrWCm/+sIk+WULE6s1ITdNW6AW9tfSR11Y2\n9KL11LI3F3rGF3ptsJ7rWRzZw0ZZOmsq4mUN3qj6VZ6QsW2zBD3iEvNInZc80xKe7MmRsTuw+ivD\nLWddw47ZVgGo2fmcegLlWMs4Gz8ZIZCRa1CmeibAPQaVa0l6MV4smWGJJUuIUI68WLzMucGeFmUL\nvGeQP3ZNjKyd7AGoUdZb9gRmNk+wZE3k/vI1FfHaAkzpnmNgDX6kZpknSD3TP7DIeK71jtoVEbHI\nWYuz1+6eiRMjGJlh2iMz1ndeOolIHByLyDUVSE6GTPWMk8E+8saW1ZVW+1i51v2zhSstY85lW9rY\ncc+WFYb0ZK9HW61vVz7GaxQqZHDORrV3ipZ/2AIVLEoZY+ZZnqzacF4yVLyft5NnFSYroxViCluR\n0e4KlT3Y2rXW+7LjrNGzRmrEKrVFMfRj0Ep8WcyUnmIEduKlECn+2xvWwpiROboC2YrEmnhgg+Et\nN/JWhV+3gkdirUVTy5olexl9aclE74oMCJZIRNAzziYbrHs40keRklQaFtliT/N5YGUZf1eRbDGo\nti6I5IcZ9JzT98NOvBS22il7QmYpuEjeoYpAN2uGJctKiChycZGr3i8W2NIeePKQPSXmlaHCRQ1P\nj+nnjiKubD05b9Flg6x7KuaZ4mwiVRyy89Oxz7WssNnwdDc7L1rzRfYsTRdF6+YgKg9s/0fmtHW/\nY40gJ0e8WpKa3Q/ZyVQRGUrHIhU6CBbbXmFn452sbC0IHcnHNDJuKgJWVliyxe78nn766cNnbVmw\n+p+15mSQBYvAs3ogo0B4Tx3BYia3TjZhx/t5dUIjsFzebAqWyOZahJtDLNGKxs5ZY+MFtldIIeTJ\nFGhOQ/sAACAASURBVKMjvAMkLZbNkyBe2AHWblaEEwRP4CrEFXmwBn+0GfUckR1PlORkTnKvDV6e\nrJ7un54WTFY+IjEzkSBf7zvvfj3nJ1snbpSOqB7PFi2lxNzPu6aVYHnEuXUDFh2nTHdl60ZWoyLJ\nZ9vObMjY+MRjucZJEC9WKTLKaqv4nmi2dAtb+q9nh7cr9JKSWslQM7JAZ5OtmWLaIkfjWxcEdj56\nubGqke9sHZMN7xBFZDHF+0UqeXioTnwjqK4TWtvX8xT6sfc6CeLForWjs08A9lSkLNnqqUAqKCRN\nlJiEjXpskcR6ihmvw99V6AeNioq1FSzZYjYl0f5hN3TWIqKvx9xnXpFxBhnv1Co3ns6K6FTdHqtU\nUTayA723Ij3WmhbJK6nRuraw+bk8jDq1n27xWpblb4rIfyIif7Cu63ef/e0JEfm7InJDRL4sIj+4\nruvNs+9+UkR+VETeEpEfW9f1V87+/r0i8vMi8oCIfGZd1x8/+/u3i8gviMifEJFXROST67q+wLzs\npS9EkhmMf/FK4CBwN8USG/07NkMuA9bk7lkMep76yCZ1bNxOpNyI11Yka2w/RBL8sUB51UQSlYtV\nC05E5Iknnjh8xr7U98Pv/tW/+leHz9/5nd9JtQ/HQo/L17/+9Uvb96EPfci8NwtvPC3yjCRdLzxY\nEQNTFuixtYg9u+hulbjVsxZasSwROdY6y4rv1P2KsoMkQGfPx3HDucBmyM8AyhH7XHx3r19Zncrq\nSktfRIiWiF3+in0/RIYbM+JajRzAOnZ9W+53wbIsHxeRuyLyC0C8fkZEvrau688sy/ITIvL4uq7P\nLcvyMRH5OyLyH4rIh0Tk10Tko+u6rsuyfEFE/vK6rl9YluUzIvKz67p+dlmWT4vIv7+u66eXZfmk\niPyFdV1/6JJ2rM8999ylbbTKI2SY1qtZuVjM6mqskJRUAxcBq7afRrX8aNkWHBYoh/peqOAyDlhY\niMhURqqWDIzSFxUqMkQwUl9Ucy+OHLPqbsiqeP7552Vd13d02H0tXuu6fm5Zlo+oP/85EfnE2ee/\nJSL/WESeE5EfEJFfXNf1DRH58rIsXxKR71uW5QURub6u6xfOrvkFEfnzIvLZs3v9lbO//z0R+ev8\na92Dxc575hCKYtQx35nIFiIalJupCPUOMRIwXYFsISLxjiIit27dOnzW1gUEs8Nmi3Zn912GmyMb\nrEtyFOGbiWwhovN+VLqLnmQtwzLGwlpLK6SxqB67eBmiMV5Pr+v68tnnl0Xk/Jz5d4jIr8Pvfk/u\nWb7eOPt8jhfP/i5n//9dEZF1Xd9cluXWsixPrOv6qn7ouRLyBA4XB1w0RC4KBSq0rUgKPtfLnxQ1\n+zLwgsDxO/zMLqA9oSdbpmVAEy0sCG0Vodb/to61i9jy1tMtrYH9he+ri1/jfPKUuUW28J1effXi\nlMZ5jC6ZRx555MLvvD63gL/T8mq5ojOyjFuWAT22eH9PXq1FE++XISc47g899JD5Oy/OLEKYrRJc\nuk/w317+JGw7yqSWT4aMZCfoZX/n5Zuy1rDesOb+SKJl9ZFet0Zl429Bc3D9mRtxiN31n/7Tf3r4\n/Oyzz8qNGzfe8RtNthA4QBknzVrRc2Fl8wl5/YBKrUJ/eeipALyFyELkoENPedDwFiULrTtnjCvT\nwD7W8ho5IYptZWP+rCLzIjHCh8ge2+z7sTKevVix5IEdd71xaMHIhdmTL2usPVfjKR6UYnOJWcge\nz8vI6AsvvCBf+cpX7nttdDV9eVmWD6zr+tVlWT4oIn9w9vcXReQZ+N2H5Z6l68Wzz/rv59c8KyK/\nvyzLu0Xk0cusXSIiH//4x+/bsFl90dkB2Bn5hGbqPwRaT3Q/zOpSqQZWXtlYQxwnLXfsohvJ1G+h\nt+zPGlOFqBIH1wvVXVizys2p4DIyeuPGjQsGoc9//vOXXhslXr8sIj8iIj999v9/AH//O8uy/DW5\n50L8qIh84cwqdntZlu8TkS+IyF8SkZ9V9/p1EfmLIvKPrIdaE9syV1dHdSvSKLCJ6Lws0AgsZ+NZ\nwnpWOUBUMnEfi9aTSUi2tKJCUobjqU8UsnMayVa1QOjoItnzPdhM7K2Whmyg3tRtbW1TxY17ZhgF\nGxsblQFLzqsdNtoaTDqJX5R7gfRPLcvyuyLy34nI8yLyS8uyfErO0kmIiKzr+sVlWX5JRL4oIm+K\nyKfXb43gp+VeOokH5V46ic+e/f1viMjfXpbld+ReOol3nGg8x/mgnspOCyeRNvVnmsxZZO/w2EXD\ne471nXc/Vjn1JFuIDEWzFZGIzC3LNajHMhIr6MVh9eyj7JxELLYgjawe2CqwuudzqpAtROb7Rg8v\nWWB1W4TYZ6Dq6X7mVOMPG1/9WeP3PyUiP3XJ339DRL77kr9/U86IG4tZiZYHj2hZ6TJYsIKePQGs\nNAy9gZYsrbQyF7Js97CHalYbtkC7t9ONxG6xOenYtrLEflT/j1yUrLp67FytUIg5G6Os4KcCLZ89\nkxNHUIlsIab0dVU4wjoyfwxLtiyCptuKCsWzSFhg3x2FfqQSwxgvTYYyTd5RopVxes6CV0sygta2\nen2c7Wr3ktZaz0Xd0bPAtWel99xbM1WWyGyr1umjwkm2IlueDGxBBqPhEa1EB8ddPzNSAgqhE6Vb\ncaAjrGRTEi/MIi1in4hihRSv10JvZZLGrNsiIo899hj1LAv6emzTK6+8cviMQsG6I/UihALMuvlQ\nMXhKtdU6pycDW1UA4RGiTMtblHxbyUJ12yJEhyVbmH0dlZ0+QYUyhuN5/fr1o9um00mgUsPTyNg2\nET6lBf4O+07PYSu79uOPP374rOc3wjuxisSX3RB6aRQQPWNCM0inpSNYouTNW9Y6ivoCZSCSTqI3\n2JQgEbJlzZMI+bjsOgutG1tvbC13ZSQGVMPiAF4MYYuHYyri9fLL91KH6c7ATnvqqacOn1966aUL\nv7MmLypcJDkiFxcBVOCa9LDEyxIYHVD8vve97/D5/L3vB4up37x588LvcAH94Ac/eGl7dFs94HUY\n2K4XWusafI6XJwhJhZfnB6EXEVRi2F+eksBxx3HW/cOWCnnyyScPn3//93//8Fkv4gyxjsYGogLB\nftDKCX+nZdSCNbZajlGZYxu0vCKh+sAHPnD4rOc3yh7ezyvDg+/34Q9/6+C1R7ywH/SChOPuLSJs\nzrc7d+4cPj/99NNyLHBe6LFF8uyRrQgpi5TAwfnjkWXsYxxzEdtCoecF9jP2MbaVzWcWtQbhWvXi\niy9S92i1KuqULvjcCMHTBA3Hxku4jMD5zq6j+By9ZuiN27HA8WTDSfRGFGXqMty3ZFAVeCWDdmyL\nykHNHvB+qEBGJoiNmLVZ91/E7chm7fcIcqtLIKNyAIue8pXt9kVUO7WZjWj85BanEr3NXcRCojdt\nFRJWW8iISWST986IcMmgitDWDSsLPRsLxronvazBVrJR1oqkWTrupNENMzIGgc1WzCyu2oph7Wz0\nrhx3pri7ZZWYfo5l3YkoN/3e+G+vRiHCsyIx/a/lENvAvhNmitdufIsYert87HO8n94d4zuhfGgr\nErtzxvewUkuI2PVcM8gM29ZWRNrnzdueJNEDyhTOaW2hwvfF77TeRO8FygDryvMyolvQOguvi7ij\ndP9HDqFYcYz63p47lgGb/sdDz40Vi8wcgAymIl7n5n+cXCK2MHrxEiiAuIho4cN/o3JiY1y0gmTz\nIqHLM3tHy05kK2YjYsVgTch60Y3EeHluVgs4tl6aAtyRse5ODew/7Jevfe1rF37HKDE9FpEUHpps\nIbAv2Q0K3g9/p8cCv8P5xLoKdJ9Yc4sNtPdirfDe3jije51ddD1XHnPqUi8UFkH2yDJLttiFFfvV\nqwjAZGUXuUi2PBcpjrtHtnAzi/0SiV30NmAoK55lDKHlxpp3ntyg3rx79675TOxn7BPdD/iddu9a\nbbUC5bUcWpvP6LrHusYZshUxMjDYXY07dpwoquawGYFTd8VVR8VEpDuuNrZIZH1SrsatEDH5VsSp\nK8XscapGYNgYL9yZ6p2udbBDkxR0y33pS186fP6u7/ouqq09UzR47v4KZIudZ6dIEiNuJpy3PWNF\ne9zfAhuEP2pt8cbF82qcQs62Shnz52UPG6Aa2YoGoEaywW9F0CLlMlrHSZOUnmQrkifLc90gPHeg\ndbDA+x1LtvCanvEb1WvVsXNmK7JVYQM2qlTXVouu99zW8I0IWFmbiWjNWMmmFpPYcQCzC44SLet+\n+ij7FtYd3VZLAfTcwXpxI2y9SBatSiLaBiv1RYYSO0Ur6lYYdWIYMeNCdhmqy2H19jFg49Z6Ykb5\nnIp4nSsE3dEVXEG4kHknRdhdWKaS9Y7+e8kgmWs02HZblix9PbrBcEHIOHnCyg0G1Hv5uVh3QU+3\ngnV83ateYF2vUWGeZYNNYpkNS/51G0b1M8oHW2Kpuls0m9i0us29Khpegmprs+flP2QtfK3u8AjR\niqagyEpeehkict2yDk5FvCyF0KqcMkzu3oKM2MLkHX2nnoqVNWVHst+zYOWGHVuLROn+t34XUZ76\nRBD2V3ZW/FMhWwj2VF22orfkv2cfewseO9dHka2tYrI8tLrN2TkXWdCj6wq2iT3h3oroelStFm5L\nn0xFvM4HLHsSepXTERFrlRayzLiD3srp1F0RFrITeGqFZu0SIzLlEdOt4loqxA5F0mpYRbZPBdGY\ns8gYtlrGepVq2RJbnKrTYDeBI9tQgVSPxlTEq9cAsfdlJ4qndPAerYtDdJcaUaSem6la5nq2dI8F\nTSRbiZfn6mXRao7POKXEHnTwchchKgQ/s/m5WDlkS4JZhFlb4LD/IrpjK0TahLKr5YElW621YiNg\niYQn45G5UNliKWLr4Yw2jKpo0mvjOBXxGgHWmqNriVlJH1mzsSYzqDTYxcFChvB4LhBG8KPkLzKp\nWLKVHTTPxkGwC2hEuaCseGkicDy9U5L4HSb19RJuWrKiSQX2A45ZRtmQ7NNbrcrYIwGeHoigldDq\n9xtF8rx0IOw7jSJbiGwi4VnGIqe8I/ASh7Kxbmzd0sh7RPqctTiOsNJPSbx6mipZt5kmWmxQs9VW\nL7DXEsxIEGZvWIpBC33EXRB5J8/SgxPPqyLABsOjDOBnTzmx1pMIvEUoosAj5XCwXz1S0dPl4cVr\nsTKFGy2c+xmnurAN7MbPa2ur9VDf25L/jJADvIdXQaTnYpht4WBlykol47VhVJoHryJGxANQIT2F\nNy/YqhxZmJJ4ZVgGsmMG0AKAA9eT9GScLsxuhzXBvD5mxwLfiQ1+Zic8Tkq2Dd49tnKdWTX3vMWU\nRWtBby/AP2IB9a6JFFX2gMlo2VNdkf7Scm29b8bGylps9P3YkmzWeHgbF2uz4m1YM5Ly9nRzt+re\nkUXiWVi6d9Z4O41WYnjsJmQq4nU+WfREiQi6RZRYsMfzs+EpMUyxEKlx6CFiKo7s/DyMCn7WlqIK\nio+F5QLs7W624JHlSFoNtj4gG6+FyLY+ev1lpVCJ1Gpk4ems1hgjD+xpOVZfZMxH6x0jCY09ePez\n7t9T37CkTntgvHjRyojEZkZwrKzM04PyrcmScdS7lSh5A8XuCDyhwAnBBmcj2cown9+5c+fwOVI8\ntkLQbySonFV80ZxL7NiMCj7PXmxYZO+irbHteZqMjV2MvlPEBWJZhNgqB6wc636N3MMqph1FawwU\ntiE6vyvnu2N1m243G69lAYucZ8RwsvAObFjw9K6lK4/lJFMRr0ceeURELg6iCD/BWhcYdnFAwvLY\nY4+Zv2MVIQum2voxiJCtiBWDPdEZIZBagViygu+qf4OTD2N9PKXqjYX1Ht7ktWKM2IXfiyGMLA4R\nQvvEE09c+DfOE0/eb926dfjsxZl98IMfPHx+9dVXD58jiVFZN/7t27cvfGe1L0oqInogYjGJyIDW\nw+iOZcFafSIpVNiNrdXHUfdwT2zl5vMO0zDwyFbPeOTI5tX7neUOP3YspiJeWskdi9YJwlqvnnrq\nqcPnjKBC1kLCkq2ex2Uju6GegbN6cbCAJICFF4eC92P7xJMv69SsTlMQWUQiyknLNbOpeemlly78\nG9vuyQBuXjzFrO/fAnYBiBw4OBVEiBaLqEeCPdXolck6Fvr6noToVGKqED09I61uUc9afmUSqFYG\nDkL2CY5sYtJ6v4y8YKPQc1JnnyyLnNbNkLUM1xuzqYm6XSJjOMp9mj0XRs6tapYGFhnt3urwy444\nMg5VHItecjIV8TpXoJr140TEjjq1jOoamo1nF3C2sFWeHw89rXiRmA1vwrJ1KhHWce7eeYusU5Is\ncA5qkogWL7Z0SeS5Hix3AUtoq22KjkHPubrVSUFLF7Vm34+2x4NFTmfK7D5yo5BNtrZct6YiXpaZ\nFRcfdnCsUxreaY4IkdMmc2wrLmStea0u+/c5tAvSKjyt3VkYV9SzsDMiGghtvbsmSji+2C/4O/3M\n7ADZiJUqkqKEPRyB5Er3I8ooxmmwLlyUL0/Gs/NDsWAt1exuG+UX+1+7JPEdUb7YfrXuJWIHiFcL\n9PbgJfBEsPoisqlhTyGy8FJpYPv0O+H8ZE+rs8Hs1u/YOciuQRmncPEeKNd6zK356YVHWO32ToG2\nELepiJeFCBP2TiRYv2OBE0e3LZO1s7sLdrLqbPyIUQVUs3fKXmB1dsqNVrCpEjyg7LGHI1hLlkcK\nMq0LXsmmUWlbNNh5i/LrxX/hO0bIFlsaZyayhWDlPUNfoOz2tCBHragRPcWeHLR+FyWZPZOZ41hn\nHAhi4M37Fu/aSRAvRAW3V0QZbFVAdatUAjveiQx53Sp2JTu2CYGL4ShXnLfbrpBAsidBqODqqlBQ\nOooKa9ApoPqYt9TgnYp4nQuxVjrIfqsLumWq1IPI7I60NYc9JYa4amQL+8wai7t37164Bk9veaWF\nLHhjwcZroVUKZUOPnzUXtBLD++FztdXzhRdeOHzG04V6p4zviK4Rz42GbfB2sFb/eQShdfHzsreP\nqpe3FbJ1qJUKxYOW19ZQB891xoYpWIWePTn0NrYjijHPgFk3/1fmVOO5cEYSVeL1WyLTVZLtRmDj\nIHoiY7eNC7oumM30meeii1g4WGuOB6vwtxcP4oFNPXLjxo3DZ+w7z4VrpRnwXG/sIhQpL5WBUyRY\no4Cusmg5HCRbrSXiNKx7eHMpY2NbYT2qgK3IlrdO9MZUxMtC5kmWbERN5swCk1GgFzHyJKSl7DxF\nysa1eCZgy+JV3axtyUPvduOz2ESk1nzMqDjR07VXpfap9dyZNj+I7Bqm1bwaFVyzO47HaLKFOAni\nZQl6hQkRVTTWUXu2QG82WuNaMgqbs9ahSLDxyAUuYlrfKpYoshu1xpNNQBxFq8tiZC4rVv5bDypk\nuFlPEZnz/Sr0VyZmjt/LwlTEyyqSbWHkhGATBrKLAxPX4gmw157IEfPIwu+5pqopK7ZfI2gJwrzs\nHhnydYqI5O5qlUNvc4fjFK37Z8HbCFnvxGbh9ohIpO9YmWQ3d5FTrrrCA27OsF+s+KzZUDmNyFUk\nWhpTEa/zAevJmFn3XVSRWoonUvvOe2/vu1ET0QpGFek7+VoXVq9tGbW/IoHCuAiwBdpZ4KKk5b01\nITEGU3vpSjDmLJrmA+9h5aoTySX97L28OeeRHkveLIu4B8/qxiKbbCFw3D2rdeSUK1vf8VSA8ubp\nwy1OYLI52irA2zS3yE3dN3YQfWEmCaJeeKyOj5IXK04p2zqRUV6BnZTWTnVUJn19f2+nGgmStt7d\nUyDeYhpRNKz7LiJH3qJknf5i3WNItry5lZFTrfUeXjJVaw6x4Qx6nFgrqKXrMvRFz4U2Ww4ROH/Y\nk4JelQ/LSlnxcFaEKHmbp9aKAB6sDaa+vmd5Kes57LOiIQL3w1TE61hXo4alPL3dWbYgWMpFK2aG\nIHiKgc2u7b1fZHcbQeR4PqsEvftZ2aLZe3sEyhsLtkwQgww3Jgu2rdbvRtVXOwbWWLNtzThVt+Od\n8A5iREI0PD3HpiuJEIRs139EX2z1XEs/RvUAS6qtsck+2HFlMtf3YsOeYGb7ytkTXwy0wLEEqLUf\nPSsLS6LYE3IWPEFHK4seM2sX1jOew4tD8eJVrJ09/j16wIKNk8GcZujKe/LJJy/8zpIpzN2lf4N9\nju3ROcLYzO5o8WLTZYysezkL2NOnrMsocjCnd3xVZLNXwSUZ6ctRFiWRvoWsI6Savd/oQyhTEa/z\njhoZmJ0dD2VZVlhL28iAzwhJZJVYzzgzdOd6iTArwCM9Vl9mnGZl74E5uaz8XBrY517pEssaECXl\nLNlCWEHWGQvUrAcdWB0TiU+sglHjgc+Jxia3BvxnyDJLUipatS1secCr1ip0HzDxE9YJlSpoZe0j\nFfgW/ZeR66lCLEYE2YdGvN2ntXP2+h8ToOpAeSSJVv+zspsh42yyV0S2NYB1iV2lHGEZiMQa6t9F\n+ryVmGdYZrZCq4zOugnphSmJlxZEpvyDyFiTaysigsoq0lH9EDn2nbE7znYPt96PPQGrj7xbFi+2\nX73dp3Uqzuv/W7dumd9Z8EgPvl+2BZQlW5F5xiby9WCVVcpAhJi0luTRz8rOPxbRWdmEFsc9u5JB\nNgmuQOwRPclWhXydx2Iq4sUIpNfp1ckWIiKo7IQd1Q8jE7wishey1vux17PKPKNfI/KFZEGTREum\nRuYQyi4lYyEjFqxnv2QGQh+DnolIK6SfsQ7FZBAl7zRlBHiPWS2brPdjBqKlMRXxOhZ7htz7Y9ZJ\n6aHnbm8mq2k2MMZrZO3C7FO4Fk6l+HVrlYkMVLO4aGQmzo1aXDL7JZquJBuZ+pGVXTbtRyXL2EkT\nr1G7JJFxg5i98J8K2UJYaSJEuD5jj7JvRbwi7rEMeWVTc0RkynN1jernbLK1FfnYimzNtCnJ1HvR\nsc1sg9YDW5EPtnoKA9biFQ2riczPK5nH63wg9AD0VHBZeTuyEBHgq2D5s6wVGUGw6NrLPhXpWVks\n2WOzyY+UUWYR0XFXo9J5RBYb7xqWZFa09PQExhSiXGbEjyHwYAdWRqgI6+CXSF/5sO7Nnp7XJ4St\n5MSRiissMnRCtoU8a8ymIl7H+niv8gk5xFVYADInvB7zSDLNjASv1j28GK/K7jI2rilbmWcr2FPQ\nCT3AlkNrRXWyhah2go/diLJVILy5eYob/CxMRbyOhZ7wrVl/R5rwM2OvvHZXsOKdCrAveyYS9FBN\n0UcQJVo94xVPMRby1LGP2T1UiPmbFb3KRp008cogEhWCU3si+wTNqHZn1Ci0kOGa3SqRYCSwt8Ki\nlBEflPkeI/skUiOyIqrlatpKrq3nbrWxzVjDqumLUWDf9Vjv2kkTr6uGqzQ5eir2q2Aizz6+jojE\n9FTr863i42YiWhqtc7K69f0qx/Zh+pit0gRVxrHetZ14Sf4kGnW6R0+ArZT2qZO8U0TPxaFaWaYd\neehp1RpJWKzNgUf+Kug5q+Scblu21e0UyVZmH510kexzZATNZ2SftuCRLdbfzuz+Zt4dt8I7ddY6\ntqyrMXrceVZ3YCtO5XRtBvmokHoh0obI+3oWUNRhnss1G9bmIDs8JZuc9szan+3ur2752/N4HQm9\nwEUEPbIgZwgVttULwLYKo+KE0LuQbKG3kvCxkzJSaoctr+OB3Z21pqDoXboExzO7DNIW0P0VIZaR\nazLiAVFWMhbTSBZudmFkZcW6h2fp8XLkWe/kWUCtuaorI1j6OmNTg+OZYa2tEN9mwZsLEbKlCfJV\nsnbju+r3xiofl17bpUWdYOXx6inorIWKVXZIsFBpePdGJeGRilaypScRTkRvkbPe3esHq19ZUsEu\nDh4icrMVAer5LDyer4tfZyYZvHv37oXf4WKKbfDeNWL5i9Rg1LAWfk8XeRtCa+H39ABreY2kP8H3\n8/ofyVZG0DY+C9vAboy1TLLpVFCOLFLNvl+UfGxh9cxeK72M+bhWjaxHym7OWg0V+H7HWminIl6Z\nJwwxQRzmLNEDhc/0Ft1IPT68t6csdTK7XojuViKTqmeiW2+cLMXKJjL13tW6R9Q1PionF0vmX375\n5cPnp59+2rwG3w/bra2ZDz300OFzRIb0XH3ggQcOn3HHycoaLvZ6LlhK2lvI2EXOI2iM+zqqF1vv\n4W1+2EWNLWbOLqaoy+/cuXP4zLq52X7ICPOo7Gr3Sg55G3L891aW+VbreYbV+X6YingxiExQ63oN\nVOxR4mDFMXhuw2ygsmOzh2e7MXuapHHC637E57IxJXgPb+JZ94gujK1ki7XOsdYFj2whLNL5xBNP\nXPidZXVg31uTFGuDEnFHsVUEssGejsquphC5B3soyYvxYvUK2/9IthB6riLpf+2118z7WYgEm0eD\n9S0rEpI/z42P/a8JI/4b7+2RCs9gcD8X2/3QmmtTxK7yoRHxXlj3O1bHnBzxiuTdiBbjtJ4bEZ6R\nwdOWkLFlUmZCz1pkFYFKukIsWNRdg2BKJ+nvWmV3qxNtbFu3iqWJbCK8tlqn9DSy512EbLXC06/s\nu7Nzmk1REiGQuHZmuy4j8yy6sbX6kh2XFo/EyREvFtmJUWclJgj9DuzR5ZkQCartae3ItiRWJoZR\nl2vEddCKmWV8JkT6ObLgZRDp7Ll6CjJ2iqW1Msq93Q9Xlni1wgvoq7z4HYPK7xFVpJZ7i70mgoyD\nABFkFydufdbM5UpYt8RMx+m3gBdrFXFdssggAZFC6dWxhafGC8jPmDNblWs7BidBvKwK8CMzcs88\n+WbEVv1doe4ZqyyzrXheXEyE2LHEsAKZiZ62ZbBVTq8tSvx47zcTUa2m76PW5J59bslX78S7VckW\n4iSI1yilcZVylOy4HBGy1bNgM/vcjMBeNi7GCtjVYOfTKVoaEFtZlivnm9pxHCpak6vL15Ybup1J\nbIjWgdcLIVokItA7BTbw0gp47jnxvHJJXlJAZrHWJ3PwNCvCU3bZ786SGUS22d7Lc4VAt5yXMIN+\nhQAAIABJREFUyydCorxYQ7w/e7oq0q8ZsKxcGQmEESOtWow+i1pmIm7zUQtrNIkri9bNRrZFtUIx\ndE8PRJLoIkZYoHfiJdsx39ZntRItDb3wsBOMzWtkIdL/njm5dfeniZaX02YUskkBS5Zx4fdKMVkL\nI17P5lJirXP6d5Gj7PgeIy1o1rtnn0QduTAyczc6NyPWUe+5mf3Se81olcuZSlKx6NnnI/prJ15S\nM7agwq5i1HOz03R4Ez5yv8qHDKKIkGUv3xezMOp+tALWowV/W7Ps9wS7K+9tPemJCm5g67k944pG\nvmuFGp9sX1bQmxXiQy/DVMTrvOM8xcx2buTkw8hBrO4fH4VIP7MBvBUWilZE3cPZiCQjxN95riRL\nBvRz2CzoW0C/g5VlX1sFWXJaAT3bFCEc2ZvXCqSnp+Wookwx0PoCdQmbJ47FnrkeEFmcIycfKjHm\nFrC77UyMrK/pYSZFw8QfjSRa3saj1UUWObhSmWjdD1ZJI68M0lVCNBbMu0cr2DJDM22aq+tABpGq\nIyIx4pRFfKciXqcgJBXQsx8jNe1GYiYZ2sp6ZeFUNh4WPAtJzzQiM8kkoqdbtIKbikUV3bbDR8Y8\ny/J6TUW8LFjV5WdeKKyTeTjwmulbGZ2z02B49Q+t3QebHNEDa63KPAWk75FxmiYTGbttj1S0yhHr\ngvRID5upPKIU2XtbZEtfg3N1JvIQQUbMpYWZyKhua+Rkd4TYs/1aLaGo5xrMIDZWv2Qn0W3BSRCv\n1mLCFcFMPm8h7JlzTAsfY5kZWWJj1CmgCsQ+Y7ftyVqrHLGF5b33iJaFYdCqO3T/ZJ+Anck1buGq\nEVCLSHiIWFHZfrVS7USfi8goQH/s9feD1S8ZrsYsnATxaoXHsisEVEZwCgo7A+xkqzDOIy1oow6K\neBZo7HNcACr0f7RPsO0Zc/Aqz11ET1dv9r2tMet5spW9Jvp+ln5kN1MVErxWWr934iW+8FQ+RRKt\ndj8TWt9pJutVxRxyrWTE6//WKgBse9hdfnb/V4opaUEFvdJz4Y4Ua4+MRWtiz+xrjkFkHaxAtqpi\nSuKVbS4dCXY3hLAm1UhFvNUCMErRzyRDI1GBkCIi7Zl5bKv1fyuipasq4NTGogcYKxdrMDjl/p6S\neM2sSC1UF7Lq7auACpaBHXFkj18F93UGWvvi1OeFFyyegVFekgwwa/O+lkxKvCrAE+BTVzQ9kZ0Q\nNGIdjSqnSIb1yO8y6gtGdpbeycPI6cfWGJDoiU7rJGP2XPXIFubxwvHU7+SVaWLgjXP2yWdLPrx+\n3SoOiD3NykCXqoqUN/L6KFMuIydRRfJjFy3gvSPxud7vMkhnVlLeK0W8Ms2YbJmbqwZ2l2/VCszO\nXRVR5tk7Mt0PrekzMvoo8o6eooks3K0LbVTxVci7ZCVGzRhbVs/hmGUsppF+3cp7kWmVipLWyusE\nq7u3akPkdxl6PUt3nBzx8pTOKfiSq1vTIpPgVOqoWcioGzirvFZE5f7LKF8Web9TOQjAwsr9GMnB\nNRKn4r6uhtFrxpTEi3Xzeci2eLUeIWbR07QbzZM1Ssmyij27TEQrMvorW26qL4xboCJxsNqU3b6M\nBb1VrkdukiyLV0WyhdjJVh+M3qBPRbzOzdJbTY5IIWCWIESU1q1bty78+9FHHz36HvhO2v2xhYXQ\ni8mKPBdjZERshWsVLY4iu0CvVZdQy+HNmzcPnx977LHD5+iYYV9Urxv48MMPHz5jf3luJTaGaitS\nlvksbxOCLk79TBz3119//fA5o65k9oKH8wHH09sot/ax7lec72jBjG4Ce8qeFYtXneBVCPVpGZf7\nEq9lWf6miPwnIvIH67p+99nf/qqI/Oci8odnP/tv13X9h2ff/aSI/KiIvCUiP7au66+c/f17ReTn\nReQBEfnMuq4/fvb3bxeRXxCRPyEir4jIJ9d1feGytmy9G8FJ3duKwZR5iBAtjQcffNBsT6sARwJY\ns2M+dMyM9U4RsuWRxGxZZYk+kq0MXL9+/fC5Wu1IjW984xuHz14GeVxUcNy9xaZnIO4oUue9Hytf\nqC8qgi2cntnPul+tfh5pSWSxRYxdxto5UwjJZWAk4f8Qke/XzxSRv7au6/ec/XdOuj4mIp8UkY+d\nXfM/L9/qoZ8TkU+t6/pREfnosizn9/yUiLxy9vf/SUR+Ovw2A7Gu64X/svGe97zn8J/13Az0fIc3\n33zz8N9WWJblwn+ZeNe73nXhPxY9+zz7Xd94443DfxXaw+Ltt98+/Pdt3/ZtF/5DWH/PwFtvvXX4\nz0NPedixoxp6r50z4L4Wr3VdP7csy0cu+eoyTfoDIvKL67q+ISJfXpblSyLyfcuyvCAi19d1/cLZ\n735BRP68iHxWRP6ciPyVs7//PRH560e9wRVDZAGrYJbNxsiYJbSe4HOiu8WefT5KkUVSZHhF3T1E\n0mf0rFW64x62moOWKy8DFeL8Mvo1O1UIoqdlvycqJe9tGZH/almW/1RE/pmI/Dfrut4Uke8QkV+H\n3/yeiHxIRN44+3yOF8/+Lmf//10RkXVd31yW5dayLE+s6/pqQ9s2RcbkzTy9Miu50thqwlePd2gF\nK2sYQ6Vds8x4RPIbidR3cVqodro2G3rMe84TvHfP51SwwGS0oefGYyayhag0B6Oj83Mi8t+fff4f\nROR/lHsuw674J//kn4jIvQ589tln5caNG70fGULGxKm82GefFGSJas8Jf+qLpAd2/DCGqid0/1cr\ntstiVjliLQORea/vheO5ZUgCg63kkE24vGN7vPDCC/KVr3zlvr8LEa91Xf/g/POyLP+7iPzfZ/98\nUUSegZ9+WO5Zul48+6z/fn7NsyLy+8uyvFtEHrWsXX/6T//pSHM3RYV0BtnoWTh8K/RcJE9RBjxk\nu2tai2lrVJC3yhjpCq9OthCtZCvqQuwpr1d5w4nIIrc3bty4YBD6/Oc/f+nvQsRrWZYPruv60tk/\n/4KI/Iuzz78sIn9nWZa/JvdciB8VkS+s67ouy3J7WZbvE5EviMhfEpGfhWt+RO65KP+iiPyjSJuq\n4tQX2ZGoEH8R2fVupdDwuToWBo/aey7c1hQq+Fm7J3FusPdmsec9y8O+OOeAlaHs2o/e+FUYT+YE\nf29YYxMpOceASSfxiyLyCRF5almW35V7gfB/ZlmWPy73Tjf+axH5L0RE1nX94rIsvyQiXxSRN0Xk\n0+u33ujTci+dxINyL53EZ8/+/jdE5G8vy/I7ci+dxA8d+xKzuiJGoZfwnGMUIaqw+GVbX3oC+8vL\nUeW5cJEQWYcMROx+wXevnooAUUHWqgDlo8KhhQobsJ7ItgKy+merrPitZKunddvT913zeK3r+sOX\n/PlvOr//KRH5qUv+/hsi8t2X/P2bIvKD92uHB3YxZHZuFXe6rYqmJ9ESqdFHO/pjVFBzhV34jm+h\nAtlC7PqmD9j5Xa1sUYY8RNbYlufWmlGdwSj0ipO6mtskI1nsvrjew6nv3lns8hDHzBsh3BR6FtUd\nx4HdyET0TwWylY3R8jYV8ToXkn1SHoeR/WXF90QnayT7/UyoLss9iSHeDxdd1kKrXRSzpp1oRXUZ\n8oBuTJYs9LSOnspGiO2X1k20FzMWuXeGvp/Bej4V8ao0EapbcLYSPnxWxnOrka2rFk/Yc86hfLB9\neVXJVRX0dDNtRbas52yF6qege8ZUZej7GcKIpiJeVpFsFFTsXD2IkSA+i8H3JjMR5o9FarFPvMDq\nbODCiIupVh74O3w/r+6Zdz8rU/NDDz104Xevvfbape32sqNjUDgWCY4isiusEFeBRdm9OqE954k3\nhy0iV428ZwAPPbD1CT2wG4qIHGYkPh6V7iUyt7I34dWIVgYs67bIuA1sNtHChNLH5jicinhZk9YS\n1IyjqVuxYmax0G2LFHrOBva5RzDwdxnjZAUAW0RLw7OkZJAtRCR4k1XGEVKH80o/B+/31FNPHT57\n/VXhFKc3f07BnZRBtiLlryKB9tUznbcSnWziVckyk4WIdbs6WhJKT0W8LIyKQ6nmToy2J/udrP4/\nBYWxJZixYZW0tziwirDVclTFhVJNLrPnYySwehROkVScYkLpq4At1/aTIF6j4lCy7xexfFQjfyJX\nV1FUWET0My2XUfaCHsEpulAyEBkbT49U1BHn8GRo1uLLO+bErEWyh+N8x63N3Thh8bsMc3x2bI1F\novS9WxWPp+B6ChwbExdZxLdyEaEcoVt0KyLhLVARMz4b39MS0yDyTrcvxs55ltLIO3l9ZMkRG1eZ\nfdLWilG97N/n6Cn/W1kmWZ1nxXPqf28V23eKBHKLGNPsDP6VMBXxshQwCne2oI9KGum1G4PjvdIq\neA+P1G2BjIXCW5wzUldYyC5n04oMGcd7YLyW7ldUfpEThXg/fdABkb0Z8PrIkkVWsWcvAB7x3WJX\n3tN1lvE+XpxZZGyyN3Q9yZYVjxnJTq/v4aFnjKmFUyJaGlMRr61jEjImZWTnwC78FYIWR1miKtYc\nmwkoK6zcRE7Hoox79SIzUN0lb8E7XOJZd2ZBZCwyrG6s7p4pLrhVx/fehHvW2x3fwpwzeSCyJ2UF\n61MrKsQ2RVHBFVEN3kKBJzrRNajJgnWikK0XmYFTVPSzki0WFjnKDutgf5d92GgrbBWWYb17hXQ4\nlTDVrD43s3pH3itUOkdoQWRdN5kTJ0qUIqcVI0qMvXfGhL1KZAv7Xy/gqAhxnuiUJEi27ty5c+m9\nRS7Gf+F3GQqXtfq0LqCnkGbCg36nSLUAFuwGp0I/b0WUrlIy5p5kq8pp6WMwFfFihLOVbGUH9GnF\nwsbJZCqk6L1G7Rizs933xMidW6tixnHx5M6LScH5cP369aPbkNFHrNWnVXYqkICe0P1jyVSGRfsq\nbXCi6Em2espyNZe+p2M8fb3lRmsq4pUJS3hOuT5UL1yl9x25m6qwC87M3eWd3G09uajv1xM9T61l\npIbIzsReGdlhD1dZj7OYqV88+d9LBm2Anvm5quMU/O0zx5lVQGS3F4mPQ/nKSBOB2Oqofs/nZuiR\nUSex2eSs2WllMq/XmEmPVySJW6TS2GoD1oKpiNe54t/KjF3dJ//EE08cPmNdPS2IPRUzxgih21f3\nF7q+PIsjnuiMkAVvUiKRwFimu3fvXrjGcnXNXLAZZcBTVEjSW+edDgPInsePPfbY4TOOIfucavGh\nLPT7RQLyMVcdm7KGjbdj/p6FLdxHOqcdxjsidF5JK/8kC49sWfVl3/ve9174XfaBl1bSw5Yvy3zm\nFpiKeB2rqDOSS2Ze7yFjQrz66qtZzQkDC3V7sBa27FNc3qREecLAcY2ZCZYFVllZuYJ6xv2wwbJ6\nPt68efPoNiEiZMtb/EYt/Blzhk1ZU/2U5RaWb4toaYzMB4hkC+e6t670tKCxusOrttFzbEdb6mrP\nIhIo0Lir6EmU9O6ldVLp5JK42FQofh0BWt0effTRTdqQcViiNQWFp0Bwse9J8DSxxzahMtbK7bd/\n+7cPn9/3vvcdPqN11QPOE68NCE20LNe4JmgWMlwRVm3Lkdb3URY5/U6ZBY71fMSxqB4uwHo8WgnM\nVgaDSFvZmMTI2HrXsOEy7InoiE5oWRemIl6vvPKKiIg8+eSTF/5uKWB2knsdiGVOkBxl7F5wQiBJ\n0e2zBFALOSpm751albZHJPC5uDhvZQ7W7271K8oQ7hZFLr7vtWvXmtuEVkFvo2ClfPAyzSO8nS67\nA/2jf/SPmt8xwE2DHgt8P+/EpKVYdbutDZiWPexLK+eY96xsssW6+Ua5P3tatSJuX5GLsoJ9FN1Y\nRSwcLIFBecW2shto7zmsrCBYucZ2e+7r7FyIuCFjPT3eBgy/qyDLl2Eq4qUJ1zksS0FGCRCvzEkr\nWDcYKzyWmZZV2OxOy5vI2G5vBzXKtOspEIt8RNImHANLAbNlo1iwu/KeGGnpvH379uGztyht4Tr2\nNivY1goFr7NdPJHYWFZnRRe/njoH+yvbW8GSLbbPLfnKLsvkwdJtbMjBjAfEpiJe5wOR3dFbFTX1\nrA4M2cpOHMdOULagN2uN6YkIac3u1+oulK2CyrNjSiJW6FM4fZd9by3/rWOTEfJR/WBTNbB9VPFk\n5Dl6E6o9jxeJ8wVCK1i2A60FhiUB2ZMf26AJAn6n3ZDnyC6r4VmHIu/eM21FdjZ+hG4r7lrxGjw5\npIHv7qVR8IJJLblsLVytn+XJobW7jcSt6dNfKNfYX3g6UcR273oLBdtHluVJx3Ai0FXMWjRYeWXD\nAnpWj/DqoG61icAx9PQPeigwTETDmlvY/7rvW3WYJwNe/6Mrjj1lHKlT6ZVswu/Yk63VYeneERbx\nqXrN2tGyysAiWyyRyN5poYm1dx07C15Zmdag2lH5hDxkBKqyJzUR7LtHLH8ZisHqP33vSLCs1T59\n+gv/HZmPkTZ48MgWIuI+iugo7x7Z1R4qnM70wM5Bj2whLBnbKpu81/+RtYEdM1ZPeevErNiyusJp\n9CAgcmx1xz1kB+FHkO3iGTnO1sI4Uy2xjEWcdd1jf+3z8f7IPDHWG1u5sCpY53bMjREJxk+OeO2T\nLY4KSSNnHj9rgdGkYuZ3ZMBa8arFlOzIAxs7l41Tn1uzIiIDW1UniZCtY1PWnBzx2nEPEdbuZbg/\n9UWS3SlnuMQqBApHFCG6BnW8lgXP+sXKKNvWCv2ajQrlvSJWJMsVGrn+mOt25MAjEhkkCtEzTyIi\nw/PQGid+jqmIV69TjTOxcRYZrP0qwcublplAMuserYgQaZZsITyFFIkv8VChX1uh37VC3cXs5Jcj\nrs947qlvNj148za7XyyyxcpAdjybhyyv0FTEq5cSysjYy/7uKk/mWRAdowolNxCRXHCR9hzTpq3v\nnYGe4zzyXWfVRRHCmGGZYVE5zmymeNNTxlTEa0ac+kSuggo7Vfa5EUIUGffIvVlXHlvANoLqMl6B\nsFxlnVCh/z1UHo+rQLRGpTFqGeeTIF49691FFvTIwsrmeGERaTe7G2JzPbF5kTJg5WHR78C4o7w6\nnN6kZicl9h8ru9kLbWTxanXl6TQMmJ9o5IIQSZi8FdGx2sq2Ibu8S4WYMw8Rue45tlsl57bA1hj2\nkuh6qUzY3GQMot4iSy51rVgrTUfPRMrnmIp4nS9M2s/aUxFGBCbi1tGLGipJqz6XJ5j4OTsxqldE\nF+HVIWw9+eaNecQP7xVzRngLj9Umj6iOJFuIUeQBn8MWye4NS/a2ymXlyVTrYp1BtrzEmghGXvXc\nRPnHturnsCRvi3g0Dzi2FVzoXnUHdpytazQi7t0IWfNkCsHmQxuhl6YiXtaCGlFO1U5AeQrSmiys\ngHhEEN/dI2gerMlnZTs+Bqxyat1ZYh97SVcju/zo4jdKMfckeF4mcFyU8DNbuopV+ixJ75mx2lt0\nWw/C9LakWHomkpzY6+OMOMRsCx8iO8mv9buKoRI95Y3tI+tEYca8HW2ZnIp4nXeIFnqLPHjKzioX\nkLHwZJM6zMYcKdqtXTxWFmhW8WnLBQp+RIF4yhLL8rz++uvmPbDPWXcI3g+f48kA3o91uWoZ8MoJ\ntQLHAtt39+7dC7/D1BBo7fPKIEWQUYKFHc9Iugtsn6d8Iwu6ZamOYlSmbdYdlb1hzegvHDdPd0R0\nvlXqi12ovY0ttoft/wxYa4smM61rmncyHOe0Z5XqmWcS3y/D8no/TEW8rAHHTotMKO93kXitjB07\nIkK2LFLhgbV4sSZbVjl5C4pHtiywk8PqF3ac2YWQVcysydy7t6Wcrl+/bt6DlQ9vPC259ty2uCHA\nPtf9b42nJvZsHKHV1qiMWvAWTOuggo6twT7vWaoF29NzodfAsWDdYKxL2NMdkQ0PPjdiFdHjZ20o\n9MYYv8u2xlhrS5TkWAQN+zujxmRPK/2IkkhTES8LPV0y2YMwyn2Ei2k0aL4VFYJJZ0LEZD7STc6W\n/0F47YvUwPSeyZKjCqfOrH7Rc3BUWzNcZz3T8rTGC2Ug+36WHtbP0fq7Mlr1UXburqo4CeK1w0fU\nPFrtRM6O4+AtQtZ37O+qH+mPoIK8V19Qqo979f6L4BTf6apjKuJ1Puk9QbQC8ES2OQrtxQGhaV3v\n1iOKPzvg0IuXQzC7TNaNWbFs0VapBNBNx7p3ESgP+vpr164dPmOfayvUq6++evj8m7/5m4fPf+yP\n/bELv8M+wjHLjnOKkCM2Fm/fXMyHrU6ieqiecsNCJJSABdsn1Q699cJUxIsZcM83vcUk8NwfKIwZ\nSp8lW2zcGkt0LEsI/j0aH+cRaQbsoovQcraVpcciWyzB9sgaBtvj+2Gwrcaf+lN/6vCZjb2zNhoa\n7Dh788QKgO8ZlF4hRYBGxJrJgl0YW8kHGx6RnX4DESV1kVJYrXITTdfDXtPaPrZPTplsIaYiXlvD\nmyjs4owKpTWHU7T8Q0/hzl54Wk+ysIvuqGPoInb/s+OZYc2MjBMSJ5Z4sVYudpzRIqdP64469Ydg\nXbMZ94veo+VeGqzuaN3kstf3tFJmJyr21oxWzGStjWyGeyBijc/ahJ808crejWYEllonmNhknNa9\nvPZU2IV7k61CW3tO/lGLlUZ2v968efPoa7IPbPTMtRWBlyokgpEZvltR0dpXDV4C1S1QYcy2Iloa\nkdCHrDE8aeLVemQ4eg8WPV2f2aePWuFNtlNX2Fspu2w3U0+wJLHazj6jPa1uud5jWWFjNOvBjmpt\n9cZv1j6eEVMSr6ipkjEt9jYvZ4KtPaUxa/Ani9ZcbtlKJ0MGWk/cRd8pcmDD6kvPlTpyQY+UoUJk\nz5/qc5CpTNEb1phV2NRUJylsW9n3GFmDdwuMWL+nJF5f//rXL/wbk0N6MSCMaRGzX4vwGbAR7GCx\nWdktaKJlTTA9oVhFj5MK7+3lX2Kz7LPKAO+H5EOPJZsUE++BxBXJ/Ic+9KEL1/zO7/zO4TMuurdv\n377wu8cee+zSd/BOrHoyyWwU2KoEUURce9iGP/JH/sjh82/91m9d+B26Lq2+E2k/GcnOR5zrWg8g\nIkTpqaeeuvDvr33ta0ffo/XUciRBr0brSVsWHqHydAzKEesat3SH1smor1HGWfKhZRzbd+vWrcPn\nRx991HwutsnToSyJYpKSi8TWQQtev0bgHSzILvOUJf/LLG6eZVnW5557butmmJhpB7QFInXdeqOC\nC6U6rMV+ZFmTUYu9h54B69Wx67ZtYZUY83ToPmY18Pzzz8u6ru8YgKksXufKfmRJCxYR4Y4sKB6D\nz86ZxIIhMFtl5NbWJuwjy6qhSQWOjVd6hyVyOG5s3cZsksjez7KKsJY6vLe+xrJMasvMSMvKOarH\nxLGILMDRd20lyChrXj0/hGcZw7mvN3499SNa4bz0LCysXIZWjWL9O6uknsjF/rKK1ovUW3MjqT5Y\nt/QI0joV8bIGf5TlwovtYE2a2FZPOVnv5N27dXJowoGKtDVRITsuGe4QhCZ81ik7r2Zc5KgxgnUH\neiZz694Zlid2/rBuHNYtarmvvWP3kRxJ3lxt1RfevMioscfEk3mxc177mLp6xwD1GVvxAL+LpI7x\n2urV/+wJdMuxqYXYE+o4T9Bl58U9s94F1oLG5tJjkV1fOXKNdRqZJV7Hxp1PRbzOlb0XD5INNrEj\nK9zWrtBbbKyEp1pYUEi8ItmWMEUTXGbmwNJEi03I2vpcKy5A5CK58WKoLKXjXePF4iEspeGNmRcT\nhLtyNn7DI1vWOFnWL5GL1gAvzgPnSYQEewuFFRPqjYVXEQDBJqTE37EFwr3fbGX5Rlg6gV0w2Q0F\na8XQcUU4hngPlAEvzs+bW5bseJtKVr9aMtU7nxzKuWedxv7D79iarXj9yPCP1k3SsevPVMTLIlw9\nB8iaoNFnRk6BWAu6Vrg4+F5ge0Qxe5MoQnrwfp5itvo5o8I9AvtS9yveD8ciktlfxFba7DuxuHPn\njnl95OAEBv1i5nsRW1l58sUG1bIyGjltFVH0ETeaZ5XyrAQRtwfbX9ZiGD0pyCaHZtBqZdZgZc0j\nW4hI8mvvGm9TjzKKcuPpC5yPHqlgPAAi/HigYYEdG/ZgWXZJPARbzQXRcrp5KuK1NbIJXiuR05OD\nFRidhuJYsDsCTzCrJcL0YC1QUXnIfHdvkcw+4Ygnr0YG17NoPdoeIbcsSYmmjNgitiwq11ukxcgo\nlZON7HXC0j8RDwy7RkTJd08jSM81I+IibZH3nXhtiIgfHuG5Gj2MUuZb5SdqnfxsQe8KiCrEVpLB\nEq1Zi95WDK7vWdaqZ5xsz2DlCkRrx+WIWJGqoZcemLI3PDY+U4qA1oWowmJwKkAS6ymJWZPPZidQ\nZS1eM5EthLYmWESnt44ZRSx6vkdE9jz5ypiDFeLgKq9VbHu0FSpyoKGyTt1PNQLYBGes66E15klk\nLtcZiy2sFVETd6s1IDLhdVA6xodElCr77vgcLzDeO97PJgu15PratWvU77zfYHA9xo/1zkbOxIJl\nWJQyLFSReYf9jItaBXcwC++9UZa1O93aKIxMj2ARiZFu0VG57yInUTUs3etZm1qTj0eRRZanJF4e\nInEeOAlZpR8JrsxAT/OtVk5bWCui/TWq8CoqCY+wZB93RrCnED2FywYRW2A3Gt6mRmfoPkfv3T+2\nadRc7Qk9bzMWw63h6TYvdtGSS+/ATPa4W0RipFu0QqLhVmuRd/1IsoXIkpWpiNf56Q498Vrr2CGq\nmXw1evrKq5l5d8yPDBJQ2SVTAfu8PR67HPmIWp1bY0dHJpG2wLahBVMRL2sHiUQMdzwZrB+P5KN5\nkz0CHgWmzsDTZFaOJJEaroTWI7/esXvPeoJHrltP8+l8VTju+FzWdaDJhxVP5llrMT0I/i660WDd\nlVhT8Iknnjh8Zhf7l1566fDZS2b75JNPmr+z5r1Wgk8//fThM85br1/xHiivI4Pr0eWq+zUiy9ZG\nVJ9mHmUV8WpyYpu8/rfQ033HyqHnGfDaEwlxYa+xXI1av1r9PNLbwRpOspMd43NxrCOpeYA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CG3VmNVbGju4Wo7hy6Vj5zftlaDt5IaQKxt6jKnTc6gHbM+hu+llK2cgdVqIYxZLlI1CtuWhOla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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the T1 coefficients\n", "t1_coefs = clf.coef_[:, n_scans:]\n", "plt.figure(figsize=(10, 25))\n", "plt.imshow(t1_coefs, aspect=0.005)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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f9oc/qN52m/1eutRqQ3fcUb6APeoo1aeeSn78MWOsQFi6tPy21autZrbddvGF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\nz/PP2xu2L7+cv3PUKVF3HMcpJt9+C+eeW344i1z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Are there systematic dips or peaks in these betas across voxels?\n", "rms_over_t1_coefs = np.sqrt(t1_coefs ** 2).mean(axis=0)\n", "fig, axes = plt.subplots(2, 1)\n", "axes[0].plot(rms_over_voxels)\n", "axes[0].set_title('Raw voxel RMS')\n", "axes[1].plot(rms_over_t1_coefs)\n", "axes[1].set_title('LASSO Dirac RMS')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }