{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Steady State Visual Evoked Potential\n", "\n", "In this experiment, participants were presented with flashing gratings of two different frequencies.\n", "\n", "Stimuli were presented for 3 s with an intertrial interval of 600 ms and random jitter of ±100ms. The task was to passively fixate the center of the screen while the stimuli were displayed. Six blocks of 2 min were recorded for a single partipant.\n", "\n", "The two gratings were presented in a \"pattern reversal\" way, i.e., the grating was alternated with a reversed version of itself. For more info, see Section 2 of:\n", "\n", "> Danhua Zhu, Jordi Bieger, Gary Garcia Molina, and Ronald M. Aarts, \"A Survey of Stimulation Methods Used in SSVEP-Based BCIs,\" Computational Intelligence and Neuroscience, vol. 2010, 12 pages, 2010.\n", "\n", "This led to stimulation frequencies of 30 and 20 Hz, respectively.\n", "\n", "Moreover, an external electrode was added to the Muse headband to collect data at POz." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import os\n", "import sys\n", "from collections import OrderedDict\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "sys.path.append('../muse_lsl/muse')\n", "import utils" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data into MNE objects" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating RawArray with float64 data, n_channels=6, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=30720\n", " Range : 0 ... 30719 = 0.000 ... 119.996 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=30732\n", " Range : 0 ... 30731 = 0.000 ... 120.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=30720\n", " Range : 0 ... 30719 = 0.000 ... 119.996 secs\n", "Ready.\n" ] } ], "source": [ "subject = 1\n", "session = 1\n", "raw = utils.load_data('visual/SSVEP', sfreq=256., \n", " subject_nb=subject, session_nb=session, \n", " ch_ind=[0, 1, 2, 3, 4], \n", " replace_ch_names={'Right AUX': 'POz'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing in the frequency domain\n", "\n", "We epoch the raw data according to the conditions, and visualize the spectrum of each condition. We expect clear peaks in the spectral domain at the stimulation frequencies of 30 and 20 Hz." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "197 events found\n", "Events id: [1 2]\n" ] } ], "source": [ "from mne import Epochs, find_events\n", "\n", "events = find_events(raw)\n", "event_id = {'30 Hz': 1, '20 Hz': 2}\n", "\n", "epochs = Epochs(raw, events=events, event_id=event_id, \n", " tmin=-0.5, tmax=4, baseline=None, preload=True, \n", " verbose=False, picks=[0, 1, 2, 3, 4])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "epochs['30 Hz']" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 4.016 (s)\n", "Effective window size : 4.016 (s)\n" ] }, { "data": { "image/png": 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aDpt69by4X0wMnDqFe/tOEv7vTfwXzbtQdDawJPuCalI7coXdceH773EA/3AD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\n8xx8bSL+kz6hUMwJfAOcOHx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zjjEJCel/R999Z0z9+sY4ncmX8fMz5r77jFm2LHXdk3OW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\ndQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mne.time_frequency import psd_welch\n", "\n", "f, axs = plt.subplots(2, 1, figsize=(10, 10))\n", "psd1, freq1 = psd_welch(epochs['30 Hz'], n_fft=1028, n_per_seg=256 * 3)\n", "psd2, freq2 = psd_welch(epochs['20 Hz'], n_fft=1028, n_per_seg=256 * 3)\n", "psd1 = 10 * np.log10(psd1)\n", "psd2 = 10 * np.log10(psd2)\n", "\n", "psd1_mean = psd1.mean(0)\n", "psd1_std = psd1.mean(0)\n", "\n", "psd2_mean = psd2.mean(0)\n", "psd2_std = psd2.mean(0)\n", "\n", "axs[0].plot(freq1, psd1_mean[[0, 3], :].mean(0), color='b', label='30 Hz')\n", "axs[0].plot(freq2, psd2_mean[[0, 3], :].mean(0), color='r', label='20 Hz')\n", "\n", "axs[1].plot(freq1, psd1_mean[4, :], color='b', label='30 Hz')\n", "axs[1].plot(freq2, psd2_mean[4, :], color='r', label='20 Hz')\n", "\n", "axs[0].set_title('TP9 and TP10')\n", "axs[1].set_title('POz')\n", "axs[0].set_ylabel('Power Spectral Density (dB)')\n", "axs[1].set_ylabel('Power Spectral Density (dB)')\n", "axs[0].set_xlim((2, 50))\n", "axs[1].set_xlim((2, 50))\n", "axs[1].set_xlabel('Frequency (Hz)')\n", "axs[0].legend()\n", "axs[1].legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the expected peaks in both temporo-parietal and posterior electrodes.\n", "\n", "This can also be seen using a time-frequency plot:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applying baseline correction (mode: logratio)\n" ] }, { "data": { "image/png": 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AfuKI8n8T+NgzaWylUqlcYSzHTxj2FOXl/XQ/CzzXe/+yvNn7d5xzb/Le/97svPOo6+Ar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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Applying baseline correction (mode: logratio)\n" ] }, { "data": { "image/png": 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bmsYRI2xNVJazH6XP/Lnk2mtY9mLmTGfAOTPyj+lxpg+N7n0TDIrX+X7plbX7\ne0DDwPP92O+fzzHtkX7syv4aNyPODmGabazbojWLPqfeJzTpd77mWl8kOkeb7t2YLl9gCDlf+HyV\nl8A2fRbQtg0jJe/MdFuvvJ1bmRSbuyVhz8OYq99N1cDjoP6cXaiF6vN+Ya3B7hIgsNv+awsnZbIR\nkeuh6qRv8t4/POWieQlwO/QefC3wM977MDnuzsBvT6q7AfAa7/0jROST6P11dbH/8d77NxxIRyqV\nSuU4MM5idgkQMOGki/PvCyfryeZC4Gjx/oXAPwH3B84C3gb8KHBxeVDKzNnnxRaRQ2i+mhcWxR7m\nvX/rgbS6UqlU9hGzwTob050eTzYnfMoUkfsA56G5aBCRr0EnmV/z3kfv/VXAi4CHrK6l56nAW7z3\nf3NQ7a1UKpWDwqQAgfWvk93K/eGEPtmIyDnoU829gAenzd+U/n6sKLo2Z3aq64bo08/tJrseJyK/\nimanezXwNO/95mIPMULoNHOmbWiaYT7u19iYnDJyiP3P8vVALxPfVzn5m1HJ/iTznuQ0QjouZ+50\nhiG7ZTpuZqFzBoslNGpr3nKGw41h1h3FzK9WG3yvi9KAtRjbjH002U8R2vS38NmYrAuv6y3yugtj\n3YI8T+8XSL4d3BbOurS+JflV2jmm28GEdljPkVMyxKBv41z7mJbglL6RktG71N7S/wTDGpsYm14C\nxqS6nNH1NCYG9W11O9C1o7U/S9d6pONN8T665FeyDa5sb+HbiWb5L9OY/FmlDyFL55SHTN0EIR/Y\nHzPIzZjQQtf1fqzReNiGaBuVj+ly2R3M/Khem26HXvsIiM0MujlstdB0zNxM74U0Pvm6L4xVN16z\nE22DcTOcneFMpEs+msYMqTNmdljrZIr6si+0C7HPLDuVj9ExGaR5+nFhkKGB4bO2ymfTxiEtAcXn\nzfb/qESPSdk/94ONzGi77L+2cKJ7cSHwAu/95cW2s4GdiX9mt5zZAD8DvNx7/8/FtlcCLwPORxMG\n3Q940nG3ulKpVA4A11jcbJdXc3pMNifsyUZEvg/Ndf3wya4rgW0RscWEszJndqrLAQ8D7llu994/\nsXj7aRF5PvBI4BnH1/pKpVLZfzZSEDhNnmxOpBntgehk8/GU/e166fx3QNUrzkPNZ7A+ZzbAdwNH\nvfd/mzekYIFbee/L4/aeNzuZImIMGhqat/fpN+2ifEsX+8yIWSlYdYYLKY1C9SSX0dNFzSgZoSOO\nHjWzCW2yiIK+AAAgAElEQVSW1YyT8rSqQEdCU5QzaEhxMqGZbl6YUObJFLYz6qPK7rRDFsTChBHz\n8IWAoe0VrEdh0SXGYkwhdxIs2E5Dj7NpLpnOok2hyDmEOtWrprQwmPp6M9TYPDUm9ArFZVuG8zhi\ns9WbkPK5TDYhzo9gunlvTlxtPivqL8ODi/NkcyV2MK3l7TksvlRXNoCxDlua0YiYMB+boArFcFhi\nNkvmz8VrWkjPuDUf9TzmXREOX/a9HUynZnRMHMazNKmlNuUQdNNAtC4pmCcV6GQi7u/tVaHneWkB\ngxTNVD5mmVmttHJlhW2XzNau+Dxm01s+vsv6QQzq5y5lgSW1YZayj+4LGygILEiMX0s5YZON937k\n8BeRpwE3T6HPfwg8RUQuAK4L/Djw3DXV/Xvgw5Nt1wHeLSLf773/X8k/9CjgD/erD5VKpbKfaADA\nbj6b02OyOVWezx4DfA3wUeC9wKuA3wUQkQeIyGsn5Zflzf4C6qN5loh44F3AnwG/fqAtr1QqlWPE\nWLvR63TgpCkIeO+fVvz/S8APrCj3ajSqrNz26BVl3wx8+/61slKpVA4ON2twW+u/hl23xLS7BhE5\nH3g+uuB9Djzbe//7kzIPR9cxfqrY/HHv/b03rWOvVLmaCdlnYIrQ3Iz6DqKqpBirGfviIDkCSXaE\n2IcwZ0n47M+xyQ+T7e4xqt/HBpVqL1MIZJu2S2kBtF05tJo+Btgke/vIJ6InLzpW+DsMGo4bY/Ir\nFGHDpdTL1GdS1jUatEGyB1scW7bBWKJT30k/ntlvk8qZ0BJDq2HIpZxNDqnOfpdeLieMj4tB/Re5\nDal8dLNemj6Pu0rULPERTPtVjMFCqG8poRNt76/pfUVFRsleRiVJ8BvrhvQFaDjzQnrgwjc4L+pw\nFhxFCPYow+YKeZ1Ju/Re0TpiUxwT3BD+7NyC/ylLx2hfBj9fzOfu/ZytNsUO94GJMYXxp+qTjL9J\nckHjdpth7LOPpthd+lpy9lv1h47HsMzCmtMHZP+qyv6kFA8hf05TTV1M+kKLx3bODFlzjxNVfd7F\njLaHc4nINvrj/Ine+0tE5DzgfSLyfu/9BybF3+u9v+tx1rExp8fzWaVSqVwLOQAz2t0AvPeXpL8f\nBV4P/PAJrmOB+mRTqVQqJwvnMG4XiYDd9o+5NfCRybbLgTsuKXtTEflzNEr408BTvPfv3WMdG1Mn\nm11YyL4ZAwR9ZG+SSSiaIvMmKawyDmq+McY+Y2NeOW3CEJFtbYNzdpSZEgazwAox3KFJOZQYiM22\nHhvasXmlN6ENZqveBFKYoEZqAFOTWFnPqnFaCIk2xXZHKFbVt2FQSVaNqO1xGGyhJp1NUjspQ6Pu\ncmrimBXHFe2P1tGGyLyLdG3or8PM6rVrZlbDq7sdYjbdlQoKMKhep0tgYoDQDGOXlbGbLWJzCNyM\n4GYpA+UQFj8MRwqLL0Nv8/9VWliVF6BYOR9SxshkRouw5XRcjJthkokvpnb37Sqv/TR0O5s1s4ms\n2dJsqVn9OR0X3Uz3pX61IdJ1OaTeYFPdBlUnNg1jFe1SKaLb6T8z+r4d7sXpPZPMf9EYQqHM4Yyh\nQ1WrQ2FzLj8rpXJAVkzvVThi1HrT9ZkDhEjIZmXUlGb6zLaD+dsZNXO7AM1+KQjssxkNXaN4zWTb\nskXyHwVeAzwH+DzwWOANIvJNe6hjT9TJplKpVE4S1lrsLmay3fZPuBI4PNm2sEg+iRq/o9j0GyLy\nJHRZyUZ17JXqs6lUKpWThJ012K1dXrM9PRN8CLjVZNvCInkRuZmI3GhSzqCRZxvVsVfqZFOpVCon\nCWPNBgECezKjvQVo0wJ5ROQOqE7kyyflfhL4AxE5nMpdgIoxvHsPdeyJakabMCj1TiRSyiyW2W8T\nA67ZVndKkYmztEBbQx9i2ktzZCmZpF9iQos1Vu3fo7aY0f9jEs0IhT8IIBbnDlFt1YaZ/rVmqdpF\naePuZU+i+jWWhc9qZ9yib2ZStlT7LY8fqWPHSEgqvkPGydjb2mfW0NitwV9FCk3tVPU3+3ry+Dqj\nNvzG6hjm7nbJX9Klc+ppIgSVfonO0mydhQnbKfx2iWRNVrwu/SK9REzow7Kj2yI22wTj+qysffdN\nvia5zcMF0ZDn8XDlsPku+ZvaEJmHob8E9TUEqz4Ja1wfSm1MO/huyr5kte2QwqBTOHiwM7AzzOzQ\n4CsrpGP6cGm31ferH3tiyhqr/eti8kUlP1K+P0xW5YYlIc6Fqndx//efw+I6Y1W1eYbKO6n8jC4f\nGFVpcvuS1ExeapB9esnPtirbsk1Zcnt5HWuGMG1r9H7bp0X9+6367L2fi8j9gItF5CnAEeAR3vvL\nReTZwFXe+2cCP48KI39ARFrgn4Hv9d5/FWBVHXvv4cCJTjFwT+CZqLRMBF7ovb9wLxk2ReRuwC+h\nsjYOuNh7/+vF/jujys8f8t7f54C6UqlUKseP3X2yYY8KAt77y4DvWrL9ycX/jwBLF8evq+N4OJGq\nzzdCUwDcw3v/ThH5RuAyEclimrtm2Ex1vAa4n/f+UhG5ZarjPd77d4vIg4CfRaVqrntgnalUKpV9\n4ExSfT6RvYjAj3jv3wngvf84Gsu9NknahA54qPf+0lTHx1BBztun/R9FZ+NpjHilUqmcchyAz+aU\n5USqPv8L+lQCgIj8J+D/Ad6EJjjbNcOm9/7zFDpp6cnmdkCewN6Xth9zO8ssgXl9R79OILRpUU1X\nlI+jzJHl/3MqgWyvd2ktyFDALUrBJLIkffbPQJGNMNL7IcoMobnl2ffhrNrVSe9Lsq+jX49gZ2P5\n+16+ZroGwvZt0/duMLnnthbSLmU6hpAkQXo/ShikfEoplixP4nqfxNB2HVOgqCcYQ0DHxZlxCgdY\nrAM9nHmXj7E0zTZ0Zmh7Kc/fpyzQdAma9TL5b1KZ/h4xWUpmkg4gXXeTJXX6ttmRHyyaQYIlj09X\njE8gyRyR+p8SWVjSwNhG71Ob1gWFsRRRLxdkbJ/5Mt8/LvnKtrYma5ZsQ0DXB+Vy+ftvmR/KxDjI\nPq3KoJrTL5TyShNi8nVmL5wrrmv52QjFZ6D0ZZZ+sv6eKf1CsDC++XplP41L62tsHPw9ztqFz9Ox\nkqPRditzOnDCeyEi9wZehMZx/6j3/mMi8krgPcCfoIrOf4E6pZ6xpp6bAK8DfsV7/8EDb3ilUqns\nM5vI0VTV52MkOf1vKiK3AV4nIrO9ZtgUkTuiT0kXee+fc+CNrlQqlQPAWIvdRY7mjJpsROSmwN2B\nbwG+Dn06/Ty6yOfN3vtPb1CHAOK9fy2A9/5/pzw1PyQiH9o0w2aaaN4APMZ7/yebtH9P5EyHtiHG\nQvoDNSeY0JJla6MpsnUW1qap+WxqSilVlUcmqUSIKWQ3lFImeZ8+8s9DYUYr5VDI5gcN8Y29uSP2\nmSIhWceSfIfaROJIkThL8hAnoaoMJoxhQzKjGKNmtRgJ1vVldXyGbKbZ1BGK/vSGpRAxTkNbbcpM\nOmSoVFMK1qSwW1OMiWY6jSkU15nYX4cyTDVOrlXM58Dgkqr30myd/QCbXjW5N7el0HiTwoujsb0z\n1IQcKt+NspCOq7SDudbN1Lw6MS/uhT6jZjalFefM5qt5hCNt5GgbmCc17MYmGRxgZjWcWseI0T0+\nva9Hfclh9Dn7abszNqm64t4vVLEzZZ1ZFVvvwzCMZ8Kl/kRr6MxgDiub5KxhweBlrJoow1hKyBWf\n28aaXubGxkE+yZiAs1unbOjzqczaXojI7UXkNcA/oho6/xbYBmZoOudfBj4pIn8qIt+yy7nOQRcR\n3T7VfT10AnsXmmHzHml7zrD5qiXtOQT8MQc10VQqlcoJJE82u71OB1Y+2YjITwFPB14B3GFVHoM0\nyfwY8HYR+QXv/fOXlfPev0dEHgP8sYg49AfLa4HfAN4P/LKIPA/9wftKUoZNEXkAcIH3/r7AA4Cb\no9k4n1VUf4n3/mki8gfAt6EJfw6JyD8An/Xe322z4ahUKpUTh23crgEAttmT6vMpy7pe/hDwrd77\nT6yrIE1CPy4i/x+6mHLpZJPK/j7w+0t2rcywWWbq9N6/Ap38VtX/I+vaWqlUKqcSZ5IZbd1k8x+8\n97vmIxWRO3vv3+G9/4SI3GUf23Zy6OVoWrKyv4E+PLMM08z+mqldvczWaY36N1whe1NKwCcRjIUw\nzjK0eVp3KcGS/RUhhb9qWGzEYUY+jOz0ybdtMCQfTfaZDG21GA1LjYvpBUJqazdpV0SdMdmU3Yfq\nFuHaMJHySf/EaHrpEGuKNqYBKbMiGmNw6iRS90qMZHX4LuhCLGsiMYevMj4+j3hZ31qWZGzNvqkY\np+knop4hh7cXmTxH4cehyPCZUjnke0yzXrqFscp9MCkU1zD4F0o/h/rr7JBiIGflzGkFjCUYx04b\nVC6o96HpvaKXzQz3QdoXJtd7odvF2ExHtA83ztlW3WycxbQomz8rZej10hD8PBgxgFn85V/663Jq\nAT0m+0mHPuVQ5zy22VejqUAK/xMQ3dZSX9WxYswG0Wgr0npc21g52ZQTjYh0wAuAJ3jvp477NwJn\nTY+pVCqVyno09PnMiEbbtBcdcCfgHSkyreT0WN5aqVQqJxrrNnudBmw62bSoDMx7gfenhZmZvcdm\nViqVSkVFNjd5nQZsvKgzmc9+UkTehoYw/yYqU32aPdnEZFNPdnUKv81IVmTwg5gkP57XkIDG/JNi\n/m0q2tjBN2FCq/VASq2r/p/sr1FZ+bhg04bk1+mlatRfk9vuinS4zmaZHN1rGeTrLcO6lGAM1gzr\nE2whY1P+HgkBYgyjtTKk/i2j99Pk9RLJ0J3T7GLSeJjl60mylMg0XXbGprUV+Vx5vc6whij1n+Em\ndYa0dmeoo/czGYsxoV9H01OkmliQF5r6ZYrtZrKeppe1MTmpwrC9l/K3Tb/GJvtlHNqvMt1xOea9\ntH8+dd/f4X61tvALpvVbJq0nccmv16dPLvxApcR/mJwj+3lGXYxget8TmNmwJq1PM50+P3l9TSl5\nYwyaVrpcm1RQpv7Ifp+c+jvfk7mteS2MpnfOfrah//Tjq9/nzhS+mm5nSLWQ0yOUqbb3i2aGmW3t\nWuZ0YNMps7+1vfevRCPH7gFcuoc6KpVKpVJSzWgLvL18k9SW7wT8b3SBZ6VSqVT2SFV9nuC9v8eS\nbTvoYs4f2+9GnVwmF7YPWTWDKS2FLGNMr/AbjT67lyrGpekjG02ccWo2G6kKJ0XkMGRl7BV5i/Dm\nTEjmL1Utjr0cjDWqVDtzmp3QBVV+dnEwH5mUEXMcurxo5jImLv0l0puplu2bmM1Kg0POfJhVnafm\noGze601hpVRPYYbrVZ/L1m/gNRyFB0d6VeZ8aIhRo4KWmUomskKlErfB9hI/vVRLuvJxUscCvVnW\n9Ka0HFo+tDuFa8c4CtPOZlptT+7X4nXUNmpPh75qWUt2B6T7xTBktVzz/VbKyyyXaTJYtzXKGjpk\nwE3jGBmHtOeNWd5nclFXmc+6NvSfl1K92iXTdZzcL6VkUt/m9HcU7pxNaKWyt23AzZgns92+YDZ4\nclkS2n1tZO1kIyKP3aCOuEo1YEl9qzJ13gB4CZouIKDKAj+zLpQ6yd18CHiT9/7hxfaaqbNSqVw7\n2MRMdpqY0XZ7snnc5P3NgE9NtkXWqAZkdsnU+VPAPwH3R9fsvA34UeDiNVVeCBydnKNm6qxUKtca\nshlttzKnA2snG+/9Lcr3InLNdNseiEwydYrIR1Bxz/sDt/HeR+AqEXkRcAErJhsRuQ9wHvBydALM\n5EydT2KF/E2lUqmcMrgtaHaJRnO77J8gIuejDwA3QNXzn52kwqblHgs8Gp0HrgZ+1nv/JhG5OfAJ\nwE8OubP3/gt7akzBXvPZHLOhck2mznelTR8ril/OinTRSRX6QuBewIMn5zjuTJ1ql20W7fZLMEmz\n3yY7uzEqi1Ha2TNdissMJodkppDQCF0X6CLMk58m+2vmIbLTDn4ZUDkNrS9tD4z2z6xlHvTvdmOJ\n0RCt+pSc1RDZnDQgh4pOQ4tz+LSGTY+CaJeSR2qaPXE0rEb9JLNoUhbROPLdlHV1YVGSR+vIoeQp\nRJax3IzK0+Q+MPYJFfIrmWk7uy724d6Dl20I+aYo3/tDjGaw7NMzuFmf7RRYDH8uz1+E0ut79d2t\n+pDlcPdpmHc55qX8f5nZckr2feUxzKW0f0Moda53Kjm0kBoCUmbLOIS157Ho+5vvpTQ+ccX4GA3S\nxziV7snpCFK4dBehm4d+iUCXlgnkM2UfpYu5j+MRnWa0zdcykj63tknyQW7wHSVfUYvl6FzTMuwH\nqo22i4LAHrTRRGQb1ZJ8ovf+EhE5D3ifiLy/FFMWke9Df5R/h/f+MyLyQ8ArReSGuYz3/tZ76816\nTnjYsojcW0Q+DfxP1FR2FrAz8c9cg6aHXsaFwAu895cfbEsrlUrlgNn/RZ13A/DeX5L+fhR4PfDD\nk3IfA37Ie/+Z9P51wNeiDwAHwknP1IkGBmyLiC0mnLOBK6fHptn4G4GHn6DmViqVysGx/9FotwY+\nMtl2OXDHcoP3/sOTMt8PfBb4OHBjABF5GfCtwBHgQu/9y/bSkCknbLJZk6nzO1DLznnooADcBs0C\nOuWB6GTz8WQqux7QiIh47++0H+2MOfw1U/y/XD0el5gnbIqh7LMFGlOs5h7UoNtsCknbSlPAToi0\nHcxD4Op5x7wbm9CsMSx7qnZFe2wqN6VcXZ2zL3ZhMMn1ddkUQm2TiSj1N5td+vrWjuQ0XHtY8e+I\nxFgs3Wdol0XDVbs4qA1P1a+Niclko6HUliHcVfebwnxGb/saQp+Xq1AvG69cvsQU19WVJpioF1VL\n21TWpv6ZURuWsSyEO0yuU6kIPtqWLoaz4+tnslmrbD8pxJmcyVJ7E1MjekWFJeMwmO7G702hWhEB\nZ2LfDmPU5DyEhjMOby7VGWD0Gctmwi5AF1SVoAtxwdxaop8XNUmuu19tGi9j9AvIpZB4NTE2WDte\nCJHNdke6yNF9Cn0+ACHOs1HLUMk6SxEiclfgecCDvPdzEbkS+B3g+d77y1KE7xtF5B+9929fVc9u\n7Bb6/H7Gn8ftFD02wnt/x+m2JeRMnf/ee//3RabOl6GD8RQRuQCNIvtx4LlLzvOQSfueBty8DH2u\nVCqVawummWF2kaPZbf+EK4HDk21LLUUAIvIw4FeBB3rv3wyQggAekct479+RHgzuy2SB/17Y7cnm\nTyfvX7O01AbskqnzOsBvo9FkHXAJ8LuwkKlzLTVTZ6VSuVZh7AZmtD092XwIeOJk21JLkYg8Angq\ncNfSrCYi5wLnJn9PxqKRbcfMurTQ53jvn76XytIxX1q1f02mzi8BP7DimD5T55J9T5u8r5k6K5XK\ntYdNAgD2ZkZ7C9CKyAXe+5eKyB2A70EnlR4R+WbgOWg02scnddwJeImInO+9/7SI3A6N/r37Xhoy\nZd2Tzd+JyCO992/cpCIR+R7gxcDNj6dBpxSlDXniqxn5I5bIi7jC2Fva/EtfTba7a8ZE9dlkf00p\nh5H9MTNnekmazMyOQ5dn1o7s9lN5l2x/D0u8FV0oFKILqZMcRguTUOPJ8TGpTpchuSVlOK5Jf3OI\nsumzJya15sLRFaNhnsN+U0bSzkScVWG+rKad6x4rIg/SPLEIs11mvy+3lX6JTK7bEUeDOlJDnsih\nDGMYi/5u4r/RUN5Y3CPzJGfUheEemYfQh7/bJFU0s5aZy2O+eB7L4IvLkkrdirYsZKFNf7Maefb/\nGaN9dMHQWb0vmwg4kqQThfTTGn9HIWkTsn9qdK4h3FqljzTcPUSzVCZpUAUfh+Tne2QIjwYTypDw\nQfncFHV1Mfaf1/3AOLdB6PPmAQLJ53I/4GIReQrq3H+E9/5yEXk2cJX3/pnoQvpt4A2TpSKP996/\nPpV9U9p3BHiU9/6v99C1BdZNNg9HfSwfR7N0XprWyvSIyNejs92PAbcEHjKtpFKpVCorsBuY0faY\nz8Z7fxm6uH26/cnF/x+NLuhcVceF6DKTfWNdWui/TI9aTwQuAq4rIl8A/hX94XZ91DfyFXSl/33X\nmdAqlUqlMqEKcSpp8vg5Efl5NET5tugkA/BF4IPA36wTzKxUKpXKckzTbBCNdsKXQx4Im6YYCMB7\n0uv0Zhd7cllk6pPITLMaZn9EJtue48QnYFEZF7A4G5kF02cLGiRaxvb+hUyJZrA7u8J/UZrk06oT\nXV3hIi4aQjTgSFk+U2qCwsey3PY/9K88y2A7N8vbl46ZWSZ+jEGKZ94N5SKhX1dBspsbwEZDF9La\nCAtdTOkeJut7hutVtL33QS0vN13bA6SMmWN/XEnprynPVY5hvo5GnRLFwNh+bVaWPqJfxxL7rJil\nr0/7YcBGZuneVH/N2K9XLmfpxyWtuWpDXlcTi3+LZvXjVfqo4sjvmLMDGAMh+zyS7y1Lx8AqaZrF\nwSwleEqyDE6ZeXUkdRTNQrvy/7Ok1HTNUZYxCgZs1Otr0X5MnyesXpL0uVjjcNsL08yvq8qcBpwe\nU2alUqlcG6mTTaVSqVQOmkihnLCmzOlAnWwmmByeCfq3D3keTGjLzGfLHvmnwrDT95q5Ugtmc1JI\n4aKRxcf0VSaN8XkHM9uqTJvjfozPUyoqOztkbJyazMoMh+U27aNZaVLKTE1LI2VeU9owkrRNbkNY\nHOvIoKptjOlVrVdRmgTLMeqYmmBiL0tjy34X/+/bsKK/WXnaFf00XSHZAuTsoNEk6ZLyePL5Yp/p\nFEwKMR+bYEsTan5ftqMkv00WsIVssFBK0JiRwnZM4eSlzE0OSbeTc/ZjHdaY0CaZPKcXuKyzDEd2\n1iyoSvfyNikUWkOns5lUK5qGP5fNKZWg8z1aShJ1Rvs+W2VL3StJqmfXMqcBG02ZIvJTKZtmpVKp\nVPYL5zZ7nQZs+nz248BnReR1IvKDIrK3bD6VSqVSWSCmp7rdXqcDG/XCey9o6PNlwC8C/ywiL05q\noJVKpVI5FrIZbe3r9DCjbeyz8d7/HfB3wM8nrZwHAq8TkX9FZWpe5L3/8sE08yQx+VVR2pOnciTT\n2yGy3G9D3o6GcEYibmT/zT6X1TdYWe8opDrvn7xfJr2i9YzDqEu7/EKIaD4mh+UuadM6plkds93f\nGQh28AGBjkmWKMmkqNckUTL0v4uREDRUtTPZgzDuX+7jNLPn2A8R+785/UI+x9Q8H5M+S1A9mZWZ\nK1UCx/RZP0OMmk/eDh+7qfxRlmiZXivXX3RTLCifXD8zSBst7W8O8y7unSzBMsUlef2ZNX36hjLE\nXcOvB7+IhlKrn2iWy/fjhS5cDGiIdxECPf3VXma/1TPF0ZftOHS8G/lYcylnLI1RzbGQQp5LX9p0\nGcKU7JfL/qo+86qxOGcJMbC92w2/KTUabTUiclvgR4AHoffzX6LSCI8Tke/33r9rzbF3A34JTSPg\ngIu9978uIp9MdV1dFH98SrRWHn9zdsmNnZ62XgZ8yHt/n732r1KpVE4cG0w2Z1I0WspL/WDgocAd\nUGXRnwf+xHt/TSrzX4DfQlUGltVxIzRFwf2895eKyC2By0QkLxR9mPf+rZu0Z1VubBF5EPCzwLvQ\nCa1SqVROWTbxyZxRPhvgM8BPoPltvtF7f3fv/cvzRAPgvf89NIvmKjrgod77S1P5jwEfBm5/TC1f\nzkfRp6xpWtRKpVI59chCnGtfp8dks6kZ7e7e+7eJiPPedwAicsh7f6Qs5L2fZogr932eIi9NerK5\nHfDOtOlxIvKraFa5VwNP897vLKtrVW5s7/370v4Nu7VIdA3RFcF2OblR8etiWcplWJSQCTHikpsn\ny5xke/HgBxj7aErfxarzZPI6mZHPIK316JIxOqfODTDyg5RrDUyytwejjbcM0uzAgh9ivJ4DII58\nH1Ppl9KXUboHjImj9TylrynGIf1vG4b00F2hUD8f+RriaG2JmtTjaM1Jn7Y46jm7fvSG85UplzNd\nqh9Mr/MSCmN/6RNbNlbOJlkYY7AmjsY/LpNwmYxDX19a/7FsbVXud5lWYp1cUchrZUI6EeO29+tY\nSt9FP67goiHaYQ1LPkO5TiW7mQaZmCFlR3mP98ttkm/ExOSjiwG78Ks+5Z2ejlsekxiArk/H7YzB\n2ib5RvJanLzeJo7GYxjPov+hG1JZA9Y2OGvVh7YfnEE+m0178SkReS/wgGLbY0Tkb0XkFns9qYjc\nBHgd8Cve+w8Cr0T9LOejiX7uBzxpyaE5N/Zzvfe3A34aeJGI3GWvbahUKpWTzZkU+rzpk80LgA8A\nbyu2/S5qNrsI+N5NTygid0R9Nxd5758D4L0v05h+WkSeDzwSeEZ57EHlxq5UKpWTwv5n6jxl2XSy\n+S7g60uzlvf+iyLyeOBfVh82Jk00bwAe473/k7TtEHAr732ZI3tpvuuDyo1dEtwWsdkeb8wyGoxD\n3kupDM1AmLbnhi3N7rneBGcmpqERhenAxKCh01nmw6oCchfVZAOk97E3D+VMl7ktJklvqJkppjYv\nGZPe5JPbOi67LOx7GdMw0/740iQ1OV8gFmaq8n3sM1QO9Q0tcXYqvaOh0bPU3m4cUVvInIwVg8u2\numyeCnGpZFDZ9mFsIjYMQd25/FJzZurD0qyoRrNr5v8vM77ZXE9hQitDlsuQ+S6FUWNjcV/GXg06\njwkmRSzHxVD+bGoq17cP9z5LQ8P7cn37Yp9VNpvOCF0ypwVt1ShjrhktSYi9SW6SAbT/rFg1gxV1\nZBObscPnsgxvH4VWh1YLpNBnEwPO2F1D/TfHbGAm27eTnVQ2nTKvBG62ZPutUL/JrqRJ5Y8pJprE\ndYB3i8g9UrlzgEcBr1pSzZ2Ad4jITVPZnBv7TzfsR6VSqZw67Lqgc5PQ6GsHmz7Z/A7wFyLyW+g6\nFwsI8N+A521YxwOAmwPPEpFnFdsvQX00vywiz0N/SL0S+HUAEXkAcIH3/r675cYWkT8Avg3NIHpI\nRFOHgYEAACAASURBVP4B+Kz3/m4btrFSqVROGNE2RLv+a3i3/dcWNu3F/0Azc14A3BKdED4GPMt7\nf/EmFXjvXwG8Yk2Rb19x3KspotjW5cb23v/IJm2pVCqVU4IDUH0WkfOB56M/uufAs733v7+k3MOA\nJ6PW5S8CP+G9/5u91LEXNs3UGdEv+KVf8qcTO11kjh1bSZPtGSZyGcmurGXy30WPxaiukdNn8SYr\n7dNxcpMZVIq+tCObVNYYg7ENNuUzV9t77EOYrRmHM5dN7YiDv2nJfV36TGDw+0xl7TOT0ZuEIy/3\n8Ux9MpllciLAKDRZ69ZanR3e57BnZwc/hinKliHqQO/XyuedtkdDtXOf40gaZkr2fUQGOZhVfTRG\n5e/zWAbGIcxFyWHM4qIfpD8vKvmTpXJsEZqefSm5beq70wyn2S9TEpMsTfbtrJIzMpNtZQh+zrKa\nQ8PLkPCQ0yckySKS/Ize42MZmmxSitnvMnW6le1JKRu0DhUO6j9vvf8ljuvP5wtjv1GZCiIag7Vm\nr9//qzELF3l5mQ0RkW30x/kTvfeXiMh5wPtE5P3e+w8U5W6PWqXO995/REQeCLwqLUkxm9SxVzZ+\nPksyMLcBFtbSeO83NaVVKpVKJbP/62zuBuC9vyT9/aiIvB74YTSiOPMQ4PXe+4+kcn8kIs8F7kqa\nFzaoY09sKldzEZpm4POM9ctAf8DUyaZSqVT2yAHI1dyaRQWVy4E7Lin3/0+2fQSVGzMb1rEnNn2y\neTBwD+/9m47nZNcG2gDzLo4yMmby6m2LPvqa/ORemtCmj97LVoiPTGWFjHixPaCr1PMpsvkn33am\n24HQQgi9ycC4BuO2cG7GbDZjpws0wdCGFP5sSvPGOKw490/DQAfzUA5/NWYo6xhMPNlM5Yow42VK\nw7m+vv1FmVI5eJk6dEZDhlVtOTaDOa8/V2nWY8gwWaoWL5h6opqbxioApld+7oJZOk65vzkD56q+\nlX3MigB9aHdxXfuskGksXW+eNAsmq9xOHTOzQrlgWPlfhlX31zQpNwdrcCGFkTuzYN4rFQFgHNpM\nsW/YPqgsdyGqmawMT18YmQnGQplrNYYhy2dab2LKp4FjidRadkz+3GbzWTbjled3qkRgmt1Vzjcl\nGku065Oj7XGyORu4ZrLtmrR903Jmwzr2xKaTzRwV36xUKpXKfhGZupuWltkDV7Lo6jg7bd+0nNmw\njj2x6ZT5YjTMuVKpVCr7RCAS4i6vvc02H0LXP5bcBvj7JeV6EUkRMahp7e/3UMee2PTJ5uuAR4vI\nY1Bl5a7c6b3//uNpRKVSqZyJRHZ/cNnbgw1vAVoRucB7/1IRuQOqN/nUSbmXA+8SkW9JEWaPRJ9c\n3o4+2WxSx57YdLLZBl5/PCe6trHK7zAuZPVGyNkHYzfeP7X59hUONmcN/ARNokQfXpkzNmayVIrp\nWkx7FLNzNaY9CqHFtIVaj3NEt4V1WzSzbXBbxNk2wc0G302EeVguyZJDhJf5DMKkPepDimrf7naS\nzbtd2ue1IeKFvyqmDIu9Xd0O4a4LciVTW3bpL+ulRgK07aDcm3V68vVzWRF40KhaPJdbHoqefXSl\npEnZVwp7u3VFu90gf1T6+UJqZ6evvt48br2fwuhCP2shLwpcNhZdq07Irh3GpRj3WTH2sRzvKdP7\nlyXXs9+R6mq2iLbhULNNMI55KGWTCh+OGRSobVJoNmncTGj1frKpDX07xj6cUURXeR/l99YNsk5L\n/GkmxmJ80vVsd8ZjZlQf3KSQ6f2KfA6Tz+CqMpvivZ+LyP2Ai0XkKejC90d47y9PC+Kv8t4/03v/\nYRH5MeASEdkCPofmGmsBVtWx9x4ObLrO5oLjOUlmTabOb0Qj2s5DPwNvQRcYLUjh7GHB0uuB23rv\nb74fba9UKpX9Ji5ZK7WszF7w3l+G6llOtz958n7lQvtVdRwPG4c5iMh5IvIMEXlpem9E5K57OD5n\n6nxKyrR5T+AZInInVDPtb9P226PZQB+3pI68YOk3vPfnAd8HPE9EvmVS7gLUxlipVCqnLPmpbt1r\nL082pzIbTTYi8gPAB4HvRBf2ANwEeLWIbCoRsy5T5y8Dv5q2XwX8JcszeC4sWELNe7lNiMiNgV/g\nOO2LlUqlctBkM9pur9OBTX02Twd+2Hv/ahG5BsB7/2kRuT9wMfAHu1WwLlNnSqCWt28D9wZ+c0k1\nmyxY+i10svmnDfq1QF6bkH0Sy8hrbSIGk2PkYxJpiYYY7Si7X29zXkLpHyjj6W2S8ej9It0OZif5\naubXYI9eRTxyJfGaq+iOXAUhEDv1GRnnoJlhmhlm6xBm+zCmmbHVHFKfjm3U1l+cb+wzKPwd3ZyY\n5TtCylnZddDOiaEjtnP9/3yH0M4hb5uWZzIGYeLfAvVrAFirfcjbrMNY9QOYlEbXWKdlSh9Dql/b\nt0Mo2h2nPqQyHW9+X7ah+L/JY7rs+nVDP/v+TvtkHWY2A+tUTsja4b7J9ZRjmdufxxH69vftLMaC\nZWORxiO3L+YxmI7HsuuwCeW45TY0M8z2IczWIezhszGHziZun02YnUWzdZjYHCJsnUUbIvMu9j7E\nALioqTGcgcY2NE0DwUFodE0Zw5qyni5J0vQLnJK/xjaLfsDRvT74wUY+vm5n8JWFbkGqBiDGBhPa\nBUmmYyXGuIEZ7fSYbTY1o90CNYHB+LP0V6iS855Ykqkzb99GJ67PoeHWU9YuWBKR/wq0OU10pVKp\nnMqEDV+nA5tONp+hiMkuuAuqFroxKYHau4Hf894/vdh+A+DN6e19c1TEhJULkdIE9lTg0XtpT6VS\nqZwsYtzsdTqwqRnt94A3iMiFgBWRBwPfisZm/8qmJ1uWqTNtPwe4FPhz4MlJZXoZHwKeONmWFxvd\nhyERG8Ah4AYi8kngu733/7hJG62FmTXY2I2f4VLY5FQpOJexxmDcDJMev6Mx40dxE0Z1aXbNZghj\nnYRlWiIuttDOMe0R7NGr1IR29ErCFV9m/pUvEq6+gnjNVbRXXkmYt7RHjhK7QOwCJskfG2dxsxnG\nWYyz2FnTb8/kY2IIhJ2Wbj4n7LTEEOh22tG+EFLZriPMdV83bwk7HaELdPO8PxK6SOwCIRmdY4rl\nDlPJ5nL8+3YndWFrtN3OYNzwfx1G05efErpAXGPszlkap+fbC3Eio537Na3TOIuxFpuuQX4/qqsf\n15DaXo7j4niV5+ivdTrHsjbl+nK78/jka1T2J0zlwftz5v4Y3JbDWP1rZw3N4S3coW1mZx1i+5zr\nsPU1Z9Nc5zq4c74Oe93r01z3+sTDX0t3+Bzsoa/BuC0iqrIeIrQx9HI9WxGiMzRuptI0Wd2cVj9K\nybQ1zuCZPk85xNw2kwy59GrtvYk4h8e3O4PpLIVbm4lMTh9evkx+6jiYLj9YVeZ0YNPQ518Ska+i\nGTQjcBHqO/mpTXMcrMnUCfAC4O3e+yftUs3KBUspBvyFxfnuCvxuDX2uVCqnKh2xT0GxrszpwMYp\nBrz3F6GTzLGyKlPn29Bosk+KyP9bbP+49/7ek0ydKxcsHUe7KpVK5aSwiZnsjHqyEZHHrtu/ST6b\nXTJ1rvSzLMnUudFiI+/9WzmG4IVKpVI5UWT9s93KnA5s+mQzXWDpgBsBV6DmtNMmn40zKbNhGfYI\nSfZCfSwWs/QGiBG1GcdkZzaWOJEI0boGiZBoXbLbDj9xnDWY0GLm16ifZucq7JErCF/5Iu0VXyZc\n+WW6r3yR+VevZueKq9j56tW0R3bojhylPbKz1tYP9L6MbJtXf8vgX+l2OsJOGPlgup2QfDjD+xDV\nBLCTZEj0bywWpA2SO9lUsMIdsHANhv+b/n1OfeAMC9uWHbtYr1kot9vxy9q7m9lj2tb8PofS9/6o\n9Lf0kcRu+PJZNn6bnmsZ0/r2eo1cIWW0ZQ1b1jCzluZww9bZM2Znz9i+7jaHzznEoeudxaHrX5ez\nbvR5Dn/duXTnfD3N9W+EO3dOaI+ydfi62K3rYAgaAh3HaRpyVlMDhZxQAyboZ6rcXvhrsq+mCxpS\nPEoLkTKXpkHX5QTtDnRz/bx1O9ANGTpH0v52OF80dq/imGs5PaaS3dnUZ3OL6TYROQt4FvD+/W5U\npVKpnAnstzbaqcwxZB5SvPdXAz8H/OL+NadSqVTOHLoYN3qdDmwcILCCrwfO3Y+GVCqVyplGDRCY\nICKvWrL5LOB8VMfs9KP0tWQbeAwYVFrGmcUUuv2hxqiMPA4T42j9TO+fQW3jsQ1ju7IdzqXpA45i\n5kcJV3yZcPUVhCu/TLjiSxz90hXsXHE17VVH2LniKtprduiOzJkfaXsfTDfvhjUV3bDWZbrGYpk/\nZh5C74fJvpidQPH/lKpg4rcpfQG5j8fD1H9zLNvcaP3Sct/NtBws95Ps1p9V9a07z/R8U7/KqraM\nz7t6HKb153N0RTrpTc6V/TXOGGbG9H6bw9fMue4VRzm7ccyuM+Po9Q9z+JyjzK86Sjdv6Y7scFY7\nh3aHBnDnBEIMNDFw9uwwXTPTtsRhrHqZphgGKaecyoMlaSCW+GpKmZeAUYEpa9YLzRiDem0ZZKSa\nLaLbIroZ0W3RYmn3ablNXWezyFeWbPsX4I2oFlmlUqlU9kh9spmwX/lsKpVKpTIQ2D3t835Gvp1M\nNjWj/dqmFXrvH3/szTn5WMyiJEWM6IM4Q8ZEM9Z9LXP3laayCPzf9s493rqjrO/fmbX3Oe+FBKKh\nXgCb2sATBQy3Um2hasWqFQIWFSp3AZVLW1owIPVCrVCsKRAQioAQjZiIoaAIIkihAqKfWgxggCcE\narl4iSGB8OY95+y91kz/mJm1Zq+z9uW877m878l8P5/92XvdZs2stdeePc/zzO9xvTBMDzPDfEeM\nrDRmxhxnmrrNHOhd06k624pqbczoyFpX7/EYd3TKeFLTRBmZZDKbJyHTTIKZrZk0NFPH6Egwodm1\nhmrS0Ew6GcCJg8oEVd4hU1JlUs7R8J5MOI3fHk48z7y0ExaFMdtsnzxcdzZ0ervZqU/ezp2EO/fr\ntew83Tm6axbOZ7Z9zuuz6BrMC4NeZqrrm9L61qJkhkzh5+k8IfurY9R4mmn4zk036zYcv75tE3vk\nNtzmbZjNExg7wlTjUMeqwVbjTrXaO4zLph54nyk6R7XsLFtrkpFyzrfPFnTZdpNl2hrTKT7HUGpf\nuTYzKMaGzKA5xrYmNMZH8KP1VrV6N/CsMLLZlTMdPKua0S4CHgScBG4gzLMRwncvD30+LNelUCgU\n9py6Wd5x1bvUsR00q3Y2HwI+pKptmHPMW/3zwAlV/YW9qFyhUCgcZoqCwHaeTk/6RVUnIvKzhPQD\npbMpFAqFHZJHbi7aZ7cQkUsJav0W+Czw1Jg1ub/fnYHLCYkpx8CHgaep6k0i8gKCqsxfZ4e8X1Wf\nuujcq3Y2xwmmtI/01l+04vFnDQY3m6mPJGVuATeT8S+RS5k772d8MimHeON9G+boe/ZwS8wO2vo8\nYmFtegIbMm+uH8HWx/DWsjYaMz5ns5X+922Wys7Knj67ppmRsO+nDqg3J7jJFDetaSY1zeaUZtpQ\nb9RMN2vqjZpm0lBv1tSbNc3EBT9P7XoSNX7bg5H7Dvr+k758S1fvLGR1xX91eVk2yu6nz9W4aqX4\nq3GS+l987jwdQj9VgWt8KzWTSCkLgBmZ/2WpC2ba2qYD6HxrrZ/NpXu5/Xp0KRe6VAzh3HamnqmO\nfbmi/nnCuaNvL37OJXQg848ZQ7VmsWsV4yMjRkdHrJ+7zvq5a6wdH1MdWadaG8X70ct26poQ3j/w\nTCV/zYxsTPbe99e0bWS7f8zmvtCUNiCGU5uUsbapo9TUuJeTwOJHa8G/M1rHmYqpc7sY+rx8ZLNb\nmTpF5KHAM4EHqOqNIvJcgl7lAwd2fzVwK3BPwk/UNQTFmKRj+RZVfeJOzr9qZ3MV8Ici8tvAX8Z1\nfx/4QeBNOzmhiPwY8FLg51T1srjuboQ0A0L4DX4f8OyoUjCvnDsR8tu8OzU6lvMKwgVaA16jqi+c\nV0ahUCgcJI2HBemd2n12iccDV6rqjXH5FcAviMg9BpTz3wB8WFUboBGRd8bjT5lV5WqeDjyX0ME8\nFngccCHBZ9MX6ZyLiLwSeAjwyd6m1wGfUlUBLgbuAfzskuIuB7Z6695IGBreg5Dc7XEi8shV61co\nFAr7SfLZLHvtEhcBbacS/8x/nvDnfAZV/T1V/SsAETHAI4D3Z7tcLCLvFZHrReR3ROQey06+6jyb\nBnh9fJ0OV6nqB0Tkfb31FwMvieeaiMh7gW+dV0gcDl4I/AbwDXHdOcCDgR+NmT5vFpHXAD8C9JO1\nzcXUE0y9NRP+bNqsmnnYZWY6S5komTWfNS7M0G5cZ0bLZ0pDVA0wBpzvzB/JhNaey2LWj2IBPxqD\nc1jXhUGb0TiY2cZr4XM17kJFs1nXZErWvp5GM0aDn07x9QQ/2cRvbYb3zdvwW5vUJzdoNidMb9uI\nytKTVmG6mdTR9Na0pp+c3IRlxyOqtRF2PMKujanGozZjZco06QezSjrcoImw2X7vqqotK5VvxyNG\nR9awayOq8Rgb67A0W2YMH4fODDlzrnisjaahPDPqKqxi7uxC2N3MNZltc5els83Gml3XLkvobD37\ndXHbMq/GexvXuZi9dVEWUVsFc1o1HlEdWWN8/Cjrd7oD6+edw/jcczHHzsWsHcGMxp2qhnNg6m7i\nQF9tnVnl52A+8xjTm4JgLHauxdLPxMn6dIyNJnLvgjktf07yc0ZF6caOmTRRpXqXAm9r55kukRCo\nd6DEKSKPZjjvWJqYv9Fbv0Fwk8wrzwAvI6j8/1BcfS0hIvkyQoTyi4G3icg9VbUeLIgdaKOJyHcC\nTwLupqrfKSIj4LGqesWqZajqB+ZsegfwKBF5DyGd8/cAvzWnHucRRjXfR+hIEj6+csPwrYRRTqFQ\nKJxxNM7TLOlMlm3PUdWrgauHtonIR4CjvdXHgRNz9j8GXAncGfhOVb01nuOtwFuz/X4GeBZh5PQX\n8+q20t8wEXlaLHyDbsTx94D/JCK7MYnzUuABwM3ATYRO4jVz9r0ceGXfxqiqJwi+nueJyFhEvobQ\nOR7ZhfoVCoXCrrPPZrTrCH5xoLUG3QX4WH9HEVkHfocwcnmIqt6cbbt7/NOfMPE1XXTyVX02zwa+\nX1XbjJrRnncJwZ9zuvweoTM7DzgX+BwDWT1F5GHANxKGdUM8Drgj8HGCie0dwC27UL9CoVDYdUKk\n6uLXLuazuQJ4gojcNS4/D/jgUOgz8HOEjuYJqjrpbXsRcLmIJCvSpYSO7IZFJ1/VjPa1wAfj57zp\n1wFfv2IZg4jI+cA/Bn4oi3x4I/D7A7s/itDZfEZEAO4EjEREVPXbVPULwL/Kyv5p4P/spD6mmUA9\nmQ17rkYhBNPbmcjkPMwZwnB3yG/TZL6a5LuBEFnpvcFYv01WpLUVV2swDlk/zfpxbAoFtVVQox0d\nwa0dDe/jI2zVjqmbPU86l20/z8p4VFFtujIG6xtMM8XWm5h6wlq9hak3oZ5iphutX8fFd+oJvp7O\n+IBaWn9S8CWZ8Vqw2a8dwYzHmLUjIdw0SYXkNnMX/STJr5T7aHL/idvuuwGCD6uqwrnH6+FajoJq\nb7LBp+ucFL6Nqzu1be9mz9O2qQu7bY9PvoQeM9le4+fWf5bKzvxzJp67bXs96drdr4tNPqIqtCW2\nx1g7c01n1JFt8j32tsX6pfMbV4f77Wr8dCvUYzoN976egHP4rY3uvteT4Otznc+p9RUdPR7u95Hj\n2OPnYo+fC6N1fDVq2+y9gyb7Pcvb2vOrdd+TMBUh9/XM3IPWZ9n5VuMFm3mfkYfqjSDSsekZrmvH\n1Hk2a7drcjWOFSZ17pJ/SFXfJSKXAe8REUvIsvyYtF1EPgk8UlWvIwww/g74ePytBdhS1YuBpxGi\nh1VEmljOI+Lv91xW7Ww+Q+gQ/qS3/uGEaIbT4YuEyUGPBF4WHVKXEJxQM6jqY/PlOLnogiz0+U3A\nn6jqS0TkAuDHCFEUhUKhcMYR5GoWxz7vplyNqr6UMPVkaNtF2ef1BWXcRPjjvyNW7WxeDrxDRH4d\nqETkPwL3IXQKT1ulgDjkui4ufgPwzSLyFOAtsZzLRCSZ5K4HnhCP+wHgSap6yQqneRHwqyLyDKAG\nLlXVD69Sv0KhUNhvkqls2T6HgVVDn18nIn8DPJUwynkkYej03ar6RyuW0bBYceA75hz3FkKHNLTt\nBb3la4H7r1KfQqFQOGiKNloPEblYVX+P4Mi//TFjd49zYUxIR5DkO3JJCR8zIDo/K9HufTjGmbCv\nZTalQHesDZLra8egCjIZfR+SHwW58y0HG7VjY8uxdXLCZu1am3L6kiYpl3lTQGzMPDquTPTdWMb2\nOJU9zmjdUB0xjC2MbNoOIxP9W67Bujr4uXKZn3yuRPIP2CpkVBx1fhNvR3hbzaRlaKVnFtjTh+7P\nzHlbSfoRDoPr+dDSPQr3Ifixkg9rNnVE54Prz5nq++zy4ytrWhki08rzhG3WdOczdHIqJvcb5XOt\nsuvYXpiez8X3v0h0foq8nrkPMW9Le4okKWQzaSFr2vlgeT1NM8U2k3ZuWuvbayazPrzku4uZLt1o\nHHyRyW/m3Kxvpsp+lkzuZ+qycqY2523M7xmtY304vUd3jTK5oMFrl65V9NtEn82XN+dOJ9kR3vl2\nnt6ifQ4Dq0ajvT/OqykUCoXCLtGwPBptodf9LGLVzuYy4EUxcqxQKBQKu8A+z7M5UFYdrTwOOB94\ntohsADNx16r6VbtdsYPCj9ZhtIbPM/YlSQvAexvMR3YU1GqNweCDGSMOtU2IaR4sPw9jdHisN/iU\n/bLxTIDGO0bWUo2OUq0da01IyWwwdZ5J45lsOiaNY6P2bEwdJ6cNJyZ1MKM5T924GKfvZ2TM+8N2\nm8Keo9lkVFnG0WQ2tmH9uDKMrQ2mNmNYH9lobhkxsmPG9hjViNbMVlnTmoyAGTNG44JZo56ElLiN\nm0bTVrgm856tIWtCa7pK2Rjj/6e07H3dXutOdXv7veiTzGSNCxkok1ly6kL0UHtds0pVtruG4yrI\np+TXbFyZ1mRpDDOmqWRSq6wBqm3/Al1Wp84U5DqJlR5d+7u2pva3ZqHYttTOnMp25tW+GTaZ/Soz\norIj1uxx1o5Y1irDkZFhjMM002hmrduMs6FinYwSthdCHt9nwrWj2cxFk3XjPK5OplDXmr6GvjPt\ndy5TWc+vIXQimP3vR7cckpul78Bm7Tgxqbnxy5uD132n1I1bIRptlySmD5hVO5uSr6ZQKBR2mRKN\nFhGR81T1FlX9tf2qUKFQKNxeuD1Foy3z2Xyhv0JEPrNHdSkUCoXbFcnEveh1WDqbZWa0IdHur9uL\nipwp+BieaYwN0iEwE/psvMPbUfCjGIO1I0wK3TWzIbo+SyswjTby7X4J34ZRVxaqejbsNEnLJFKo\n6qQJZdbOc2JSczL6bNJrq3ZsTBs2Jg2T2tE4z6SO8uiZ0mxlTfvehjZbw9rIzrxX1rAWfTnj+D7q\nLff9OjaG0NqsDck/EPwfbptPJPeF7DRLZ2qLNUNf21nmlZ2uS16Xrm4hTDVJwicfwsx1zHxffV+Y\nTf6veD1nPzNzzWbrNOt3SyHMq16fZIbJr2tqm3N+ZvsQ7fVNfrHMl3dkZFkfWY6NK46NK9Yqw3pl\nWKvGrFVrrI27UHl8zII7FNadmOOrSX6yJMnfhbAv9vOl6wXdvu1nv91v5XxX/jReq83aBd9KDHu+\ndXPKzbfMzeu4I1I4/rJ9DgPLOpuhZp5W0+dk6vxLwigrv4P/QVXfMXD8gwjRcecTVAKerapvF5E1\n4KO93Y8BU1X9h6dT50KhUNgLprVjsiTH9HS3clAfMPs6dyZm6rwz2zN1AjxeVd+35PivBt4GPEVV\n3ywi9wXeJyLfHEU4L+rtfyUDGmuFQqFwJrDb+WzOZFadZ7NbXKWqPwx85RSP/zbgNlV9M4Cq/jnw\nv8iUnhMi8hBCBtDLT/FchUKhsKck0+ai1+3FZzMSkX/DrO+m6q9T1ZevcrIFmToB/n2Uvz5O0EJ7\nwUAeBc9sJk6Yn43zF4GfXpSmdAhPlFXxQdZ/RqomvhvvwI669LIAtsKabravjyGNya8ydZ5JHfwU\nW7XrUg5kNv/cbp/PzYBgN09futzPsdUEeZqtumn9Npt18NWc2Kw5OWla383GpKaOvpv+v6Uq89eM\nWl+NZW1kWauC32Z9ZLf5ctr3ys71VfTJ5/4kn0HrKI31C+30M+99kp8k/9x/P1X658yXl9Vrlbrl\nPh7Y7hdpz5X7WzIfUf8f8Sr/fuftv+zYvN7pfh8dV4ytYX1UsT6ynLMWvnvnrI1oxhW1c9TOUDvD\nWmVoogzSqFqb9d1ALw3zkL8mPUPEtMy5HzRsT470/pSU/Ic693mldg/5CRtP66NpvGerjvPZJuE5\n+tLJKbfc0s+ufGrcnkY2yzqbvwL6mTj76zxBFfp0uIaQvuDNwF2BdwKbwM/39vsgsC4iTwZeD9wP\n+BeEjHItIvJQwKrq755mvQqFQmHPKJ1NRFUv2I9KqOpzssXPicgrgKfQ62xU9UsxW+cvAs8F/pQg\nDtrPxvmjhNzZhUKhcMbiVuhslgl1ni0cuLimiBwB7qGqeSSZZU4+a1X9IPCg7Pg/BP4gWz4OfC8h\nVemOcfgQ2tzPADmTPZAgw2FHQb7GO/C2lWdJqVw70wdsToO56+S0aU1f+VDdOY/thc928ibbw3n7\nw/1p49jMhvobk4avbNZsTBsmdRPMaSkMunYhLDv7EhtrghKxNZhe+PN6Hv48qjqTm5k1vUHPRDRg\nSkr0TVH5P7w8PLvx801WfVPUKqazVUxfq7Rn1bJ38q+1Hromfvb6dNvctmvYL6fPqFf/efenigrM\nfbPfWmVbU+odjow4ula1Zr4UCj11jsbbLJ2xaVWzk4aOycOeB0KgvbF4Y9r2JhNa7Ty1S2H/CSl7\nkwAAIABJREFUyXzsBiWE0vORyM1p+Y9330yZtqfnclK79rnZmITn6MsbE750sm/hPzWmjV8ejXZI\nYp/3O0BgiDsAHxKR74GgWkDIm/M/+juKyHER+ZSIPDAufw8ghAi1xP0IJrSF+bALhULhoKljZ7rs\ndRjYt5HNkkydDwdeLCIvJ+jlXUNMXZpn6lTV20Tk54A3xhzafwc8VFXz+Tl3Bf5mXxpVKBQKp0Hx\n2ewBK2TqfMCc42YydarqbwK/ueA8VwFXnWI1C4VCYd/oK4fP22e3EJFLCf5wC3wWeKqqfnpgv/cR\nrEZfzlb/N1V97U7KyTlwn82ZxsxtzUOfCbZmb2zw31RxW5a9c6isTq7GsdWE14mtms3GtZIyKRS5\nL1c/+Ip2774tfxJnIqdXCnme1E27rnGdnya9J/u1BTwe7w3GGRqgrh3GGjay88N0iZ9m2N4Pi30r\nrf9hgY8i3y9nkS+l79fITRKN8zPHzsr1zPdNzTvfMv9Lu99ACHPywTQuhNr251qkjI65r82193Ju\n84FOvR9o/YLJR5fWmTk+qvQKvpqKtZHl6Ljq7s2REK69PrLRd5LmhZiZrJgmpSrw0Rfal6yJYc8p\nc2sqf+po/TWTxs/4a05Omyj/79mqmxkJnlxSyLWfu9MNhUT370l6ZjYms/JPX9ms2Zzszqz+JvMV\nLdpnN4hRus8EHqCqN4rIcwl/zB8455CfUtUrdqEc4Mzw2RQKhcLtEtf7UzE4qXP3zGiPB65U1Rvj\n8iuA+4rI0DzFXS+ndDaFQqFwQEya7VaJba/di0a7CLg+LURf9+eBe87Z/1+LyJ+KyPUi8ioROfcU\nywGKGe3U8W7WPpFvGhj2Ni4zmfgY8ti4NqQynzmfGDRFZSacfNifFJ0nUZ0gfFGbdn06trEm/sOI\nGS3t9rq2mQ0d4DzeGmqYMbXk9ZoNGXbZ+u769E1Pi5Yb52mMhyo3Odmls96bLDx9KJS6v77flpxJ\n3bQKCiHUPR47x4w2qDAwELY9FL6cwntzc6h3nqZxrfnMNdGM1jODJkxWp/Q5mcxwyXQ2W2fvfWtK\nS+U1WX3zazOpHWsjx/rIzph9G+fhWMhMWpkQAn2s8YwtONspn6csmDacbNv1aytobPuMJJXnpMAR\nXsGEFsx18/PBJMWNKkiqt6ODPMR59l4MmTbD/djKzNCTupkJST9dnHM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mne.time_frequency import tfr_morlet\n", "\n", "frequencies = np.logspace(1, 1.75, 60)\n", "tfr, itc = tfr_morlet(epochs['30 Hz'], freqs=frequencies, \n", " n_cycles=15, return_itc=True)\n", "tfr.plot(picks=[4], baseline=(-0.5, -0.1), mode='logratio', \n", " title='POz - 30 Hz stim');\n", "\n", "tfr, itc = tfr_morlet(epochs['20 Hz'], freqs=frequencies, \n", " n_cycles=15, return_itc=True)\n", "tfr.plot(picks=[4], baseline=(-0.5, -0.1), mode='logratio', \n", " title='POz - 20 Hz stim');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtering\n", "\n", "We filter data between 2 and 50 Hz." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up band-pass filter from 5 - 50 Hz\n" ] } ], "source": [ "raw_filt = raw.copy().filter(5, 50, method='iir')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoching\n", "\n", "Here we epoch data for -100 ms to 3 s after the stimulus. No baseline correction is needed (signal is bandpass filtered) and we reject every epochs were the signal exceeds 100 uV." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "197 events found\n", "Events id: [1 2]\n" ] } ], "source": [ "events = find_events(raw)\n", "event_id = {'30 Hz': 1, '20 Hz': 2}\n", "\n", "epochs = Epochs(raw_filt, events=events, event_id=event_id, \n", " tmin=-0.3, tmax=3, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, \n", " verbose=False, picks=[0,4,2,3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Epoch average\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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sVi3lSb5ZvbBN+GqLaaeFLA2gF8305bh3UXSan7zTp/TifNnS//SxcD/7aNqK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tXrHNYUuG3KwYZ7bbzplyZOvNvGG39l4uiHbSjpDGgq7f2+/HvZEMBqjgyj0wNEe7sImp4jWTbD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conditions = OrderedDict()\n", "conditions['30 Hz'] = [1]\n", "conditions['20 Hz'] = [2]\n", "\n", "fig, ax = utils.plot_conditions(epochs, conditions=conditions, \n", " ci=97.5, n_boot=1, title='',\n", " diff_waveform=None, ylim=(-8, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The stimulation pattern can also be seen in the temporal domain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decoding\n", "\n", "We use a filter bank approach on the original 4 Muse electrodes (to see how the headband alone without external electrodes could be used to classify SSVEP):\n", "\n", "1. Apply bandpass filters around both stimulation frequencies\n", "2. Concatenate bandpass-filtered channels\n", "2. Extract epochs (from 1 to 3 s after stimulus onset, to avoid classifying the ERP)\n", "3. Apply common classification pipelines" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up band-pass filter from 25 - 35 Hz\n", "Setting up band-pass filter from 15 - 25 Hz\n", "197 events found\n", "Events id: [1 2]\n" ] } ], "source": [ "# Bandpass filter the raw data\n", "muse_raw = raw.drop_channels(['POz'])\n", "raw_filt_30Hz = muse_raw.copy().filter(25, 35, method='iir')\n", "raw_filt_20Hz = muse_raw.copy().filter(15, 25, method='iir')\n", "raw_filt_30Hz.rename_channels(lambda x: x + '_30Hz')\n", "raw_filt_20Hz.rename_channels(lambda x: x + '_20Hz')\n", "\n", "# Concatenate with the bandpass filtered channels\n", "raw_all = raw_filt_30Hz.add_channels([raw_filt_20Hz], \n", " force_update_info=True)\n", "\n", "# Extract epochs\n", "events = find_events(raw_all)\n", "event_id = {'30 Hz': 1, '20 Hz': 2}\n", "\n", "epochs_all = Epochs(raw_all, events=events, event_id=event_id, tmin=1, \n", " tmax=3, baseline=None, reject={'eeg': 100e-6}, \n", " preload=True, verbose=False, add_eeg_ref=False)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "epochs_all.pick_types(eeg=True)\n", "X = epochs_all.get_data() * 1e6\n", "times = epochs.times\n", "y = epochs_all.events[:, -1]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CSP + RegLDA\n", "Cov + TS\n", "Cov + MDM\n", "CSP + Cov + TS\n" ] } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "\n", "from mne.decoding import Vectorizer\n", "\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA\n", "\n", "from sklearn.model_selection import cross_val_score, StratifiedShuffleSplit\n", "\n", "from pyriemann.estimation import Covariances, ERPCovariances, XdawnCovariances\n", "from pyriemann.spatialfilters import CSP\n", "from pyriemann.tangentspace import TangentSpace\n", "from pyriemann.classification import MDM\n", "\n", "from collections import OrderedDict\n", "\n", "clfs = OrderedDict()\n", "\n", "clfs['CSP + RegLDA'] = make_pipeline(Covariances(), CSP(4), LDA(shrinkage='auto', solver='eigen'))\n", "clfs['Cov + TS'] = make_pipeline(Covariances(), TangentSpace(), LogisticRegression())\n", "clfs['Cov + MDM'] = make_pipeline(Covariances(), MDM())\n", "clfs['CSP + Cov + TS'] = make_pipeline(Covariances(), CSP(4, log=False), TangentSpace(), LogisticRegression())\n", "\n", "# define cross validation \n", "cv = StratifiedShuffleSplit(n_splits=20, test_size=0.25, \n", " random_state=42)\n", "\n", "# run cross validation for each pipeline\n", "auc = []\n", "methods = []\n", "for m in clfs:\n", " print(m)\n", " try:\n", " res = cross_val_score(clfs[m], X, y==2, scoring='roc_auc', \n", " cv=cv, n_jobs=-1)\n", " auc.extend(res)\n", " methods.extend([m]*len(res))\n", " except:\n", " pass\n", " \n", "results = pd.DataFrame(data=auc, columns=['AUC'])\n", "results['Method'] = methods" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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MrGXmD4BngL9uQY2doNH7BLw4F2Nziv/5DScN3aeImAp8FtgyMzei+DP3w4jY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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=[8,4])\n", "sns.barplot(data=results, x='AUC', y='Method')\n", "plt.xlim(0.4, 1)\n", "sns.despine()" ] } ], "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": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 1 }