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@kahartma
Created February 23, 2017 08:45
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{
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
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"file_extension": ".py",
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"name": "python",
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"version": "2.7.12"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Filter analysis of Convolutional Layers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook investigates features were learned by filters in the convolutional layers in a conv. network. Especially we are interested in the features learned by filters that show a higher average activity for inputs of a certain class. In this case the network was trained on 128 electrode EEG data to discriminate between 4 classes (right hand, left hand, rest, right foot).\n",
"\n",
"To find the fiters of interest the data it was trained on (1720 trials / 430 per class) was run through the network and the average activity over all units in a filter over all inputs for a certain class was recorded. The mean activity of the filters regarding a single class was then compared with the average activity for the remaining classes to find the on average most active filters for a certain class.\n",
"\n",
"The 200 trials that invoked the highest response in a unit of a filter (top 46% of class trials) were determined and the signal window that was responsible for activity in that unit (receptive field of the unit on the total input) was recorded. Several features are then extracted from those windows and their distribution is compared to a baseline of (randomly) sampled control inputs also belonging to one of the 4 classes.\n",
"\n",
"The deeper the layer in the convolutional network, the bigger the receptive field of its units and more complex characteristic features are expected."
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"import os\n",
"cl = 0\n",
"if \"EEGCLASS\" in os.environ:\n",
" cl = int(os.environ['EEGCLASS'])-1\n",
"n_class_inputs = 50\n",
"max_baseline_inputs = 2000 # Number of signal windows used for baseline\n",
"wins_per_input = 1\n",
"freq_bands = [[0,4],[4,7],[7,14],[15,30],[30,100]]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import scipy\n",
"import random\n",
"\n",
"from braindecode.veganlasagne.layer_util import print_layers\n",
"import braindecode.paper.plot\n",
"\n",
"import os\n",
"from numpy.random import RandomState\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib import pyplot as plt\n",
"import seaborn as sns"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import convvisual.receptive_field.receptive_field as receptive_field\n",
"import convvisual.analysis.analysis as analysis\n",
"import convvisual.analysis.utils as utils\n",
"import convvisual.analysis.plot as plot"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/hartmank/braindecode/vienv/local/lib/python2.7/site-packages/sklearn/cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
" \"This module will be removed in 0.20.\", DeprecationWarning)\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"modelpath = '/home/hartmank/braindecode/data/models/'\n",
"modelname = 'paper/ours/cnt/deep4/car/22'\n",
"savepath = '/home/hartmank/data/convvisual/RF_data/'"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rng = RandomState(98787)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"RF_Data = receptive_field.load_ExtractorData(os.path.join(savepath,modelname,'ClassAnalysis_FilterDiff_nUnits200_nFilters5'))\n",
"n_chans = RF_Data.n_chans\n",
"sampling_rate = RF_Data.sampling_rate\n",
"sensor_names = RF_Data.sensor_names"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/hartmank/braindecode/vienv/local/lib/python2.7/site-packages/theano/sandbox/cuda/type.py:597: UserWarning: config.experimental.unpickle_gpu_on_cpu is set to True. Unpickling CudaNdarray as numpy.ndarray\n",
" warnings.warn(\"config.experimental.unpickle_gpu_on_cpu is set to True. Unpickling CudaNdarray as numpy.ndarray\")\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Layer 03"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Analysis of filters in Layer 03"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"RF_Result = receptive_field.load_ClassData(os.path.join(savepath,modelname,'ClassAnalysis_FilterDiff_nUnits200_nFilters5'),3,cl)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Filter activation\n",
"Mean activation for each filter in the Layer over all units and inputs of a specific class minus the mean activitaction for the remaining classes.\n",
"\n",
"Activation matrix of size $Filters \\times Units \\times Inputs \\xrightarrow[]{average} Filters$\n",
"\n",
"Max filters are the filters with the highest difference of average activation."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_max_filters(RF_Result)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Max filters: [13 20 22 2 18]\n"
]
},
{
"output_type": "display_data",
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3euV5teNKP9cry6/v3Kxdu1YvvfSSJk+erKpVqxb49ddDBhcAAMDOo4A3hbmT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\niIiISFZY4BIRERGRrPwf/1twT0gt208AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af19158af10>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<b>Filter to look at</b> (index in Max filters)"
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"filt = 0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_RF_cropped = utils.get_RF(RF_Result,filt,1)[:n_class_inputs]\n",
"X_baseline = utils.cut_baseline(RF_Data.inputs,wins_per_input,X_RF_cropped.shape)[:max_baseline_inputs]\n",
"\n",
"frequencies = scipy.fftpack.fftfreq(X_baseline.shape[2], 1./sampling_rate)\n",
"frequencies = frequencies[:frequencies.shape[0]/2].astype(str)\n",
"\n",
"sensor_names_one_chan = ['N/A' for entry in sensor_names]\n",
"feat_mean_diff,feat_p,index_labels,features_class,features_base = utils.extract_features_and_diff(X_RF_cropped,X_baseline,sampling_rate)\n",
"sort_mean_diff = feat_mean_diff.argsort()[::-1]\n",
"labels = utils.make_labels_from_index_labels(index_labels.tolist(),\n",
" {'FFT':[sensor_names_one_chan,frequencies],\n",
" 'FFTc':[sensor_names_one_chan,frequencies],\n",
" 'Phase':[sensor_names_one_chan,frequencies[1:]],\n",
" 'Phasec':[sensor_names_one_chan,frequencies[1:]],\n",
" 'Mean':[sensor_names_one_chan],\n",
" 'Meanc':[sensor_names_one_chan],\n",
" 'Power':[sensor_names_one_chan]})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Receptive field starting sample\n",
"Sample at which the receptive field started in the original input. \n",
"The original input window has a length of 4 seconds containing 1000 samples (250 Hz). \n",
"Interesting to see if the maximizing signal windows for that filter are evenly distributed over the whole trial or e.g. accumulate in the middle of the trial."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_RF_starts(RF_Data,RF_Result,X_baseline.shape[2],filt)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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RERERWQQGUyIiIiKyCAymRERERGQRGEyJiIiIyCIwmBIRERGRRWAwJSIiIiKL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\nFAAAAI5AMAUAAIAj/D9rZLoNgmYWLwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24ac13f50>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Channels of the Receptive Field\n",
"In Layer 03 the receptive field is still channel specific. Therefore it could be interesting to see from which channel the most maximizing signal windows originate"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_channels(RF_Result,sensor_names,filt,n_chans)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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atWununXrqlChQhmRDQAAAACcmt2FavHixfL395erq903\nBQAAAIC/FLuPoapevbrmz5+vxo0bq1y5cipXrpyaNm2qzz//PCPyAQAAAIDTsnsz06xZs7R8+XK9\n9dZbevXVV2U2m3X27FnNmjVL2bJlU4cOHTIiJwAAAAA4HbsL1YYNG/TZZ5/J39/fZt64cWNNmDCB\nQgUAAADghWH3Ln+//fab/Pz8ks2rV6+uX375xSGhAAAAACAzsLtQeXt768SJE8nmJ0+eVP78+R0S\nCgAAAAAyA7t3+WvVqpU++OADdenSRaVKlZIknTlzRsuWLVObNm0cHhAAAAAAnJXdhapnz55KSEjQ\n4sWLdefOHUlS7ty59c4772jAgAEODwgAAAAAzsruQpUlSxb169dP/fr1U0xMjGJjY+Xl5SWTyZQR\n+QAAAADAaaWrUB08eDDN5RcuXLB+HhAQ8GyJAAAAACCTSFehCg4OlslkksVikSTr1qgnv5ak06dP\nOzojAAAAADildBWqrVu3Wj+PiorSkiVL1K1bN5UqVUpms1lRUVGKjIzkGCoAAAAAL5R0FaoSJUpY\nPw8JCVF4eLiKFy9unfn6+qpChQoKCQlRvXr1HB4SAAAAAJyR3dehOnfunAoVKpRsXrRoUUVHRzsk\nFAAAAABkBoYu7Lto0SIlJiZaZ2azWZ9//rkKFizo0HAAAAAA4MzsPm36oEGDNGDAAC1ZskSvvPKK\nTCaTrl69qj/++ENTpkzJiIz67LPPtHz5ct27d09+fn765JNPVKhQIe3bt0/Tpk3T+fPn5e3trZ49\ne6ply5YZkgEAAAAAnmR3oWrUqJG++eYbbdu2TVevXlV8fLxef/11NWzYUGXKlHF4wOXLl2vz5s1a\nvny58ufPrxkzZmjp0qXq2bOnPvjgA40aNUrNmzfXoUOH1KdPH5UoUULly5d3eA4AAAAAeJLdhUp6\ntNtf9+7dHZ0lRUuWLFFISIiKFSsmSRoxYoQkafHixfLx8dFbb70lSapZs6YaNGigVatWUagAAAAA\n/CnsLlR37tzRggULdO7c/7F33/FRFPj/x9+bBukB6aCCkWKknTTjBfQoKiLFE6R4KHKgqBGkfjEH\ngqGEKlLkQEBFUFAUgodiAUTkCP2QEANIO0iQmoQa0nZ/f/DLSISNmXFz2YXX8/HgQfLZ2ZnPTtt5\n78xOftaVK1eue/yDDz5wSWOSdPLkSaWkpCgjI0Pt2rXTmTNndP/992vUqFFKSkq6LjhFRERo9erV\nLps+AAAAABTGdKAaPny4du7cqfvuu0/lypUrjp4MJ0+elCR9/fXXWrhwofLy8tS/f3+NHDlSV65c\nUaVKlQoMHxoaqvT09GLtCQAAAADymQ5U27ZtU3x8vG6//fbi6KcAh8MhSerbt68R3l555RX17dtX\nDzzwwA2fY7PZTE3Dy8smL6+Cz/H29irw/81ed8eeqBded8eeqFuru0NPXl5ekuxG/erv7jOP3K3u\njj1RL7zujj1Rt1Z3x56oF153x55+r26WzZGfWoqoRYsWWrt2rXx9fS1N0IzU1FS1atVKK1as0D33\n3CNJOnz4sNq2batmzZqpatWqGj9+vDH8vHnz9M0332jZsmVFnobD4TAdwgDgZnD69Gmt3XZUYWVu\nK1DPSD+rVk3uUPny5UuoMwAAPIfpM1Tdu3fX0qVL1bNnz+Lop4BKlSopKChIycnJRqBKSUmRr6+v\nHnzwQcXHxxcYPjExUQ0aNDA1jbS0Szc8QxUS4q/z5zOVl2e/6evu2BP1wuvu2BN1a/WSnPaFC5mS\npCtXcmS3/1rPysqVJLeZR+5Wd8eeqBded8eeqFuru2NP1Auvu2NPv1c3y3SgOnfunD788EOtWLFC\nd955p3FpSL6pU6eabsIZb29vde7cWXPmzFHjxo0VGBio2bNnq2PHjurUqZNmz56tTz/9VB06dFBC\nQoJ++OEHffLJJ6amYbc7ZLff+CRdXp5dubn2W6bujj1RL7zujj1Rt1YviWnnv4nY7XblXbMfzA9X\n7jaP3K3ujj1RL7zujj1Rt1Z3x56oF153x54K69UM04EqKSlJNWrUkCSdOXPmDzfwewYNGqScnBx1\n6dJFubm5euSRR/SPf/xD/v7+mjNnjsaOHavY2FhVrVpVkydPVs2aNYu9JwAAAACQLASqRYsWFUcf\nTvn5+WnkyJEaOXLkdY81btz4usv+AAAAAOB/pUiBKiEhQZGRkZKkjRs3Oh3OZrPpz3/+s2s6AwAA\nAAA3V6RA9cILL2j37t2SpD59+jgdzmazKTk52TWdAQAAAICbK1Kg+uqrr4yf165dW2zNAAAAAIAn\nKVKgqlKlivHzkCFD9OCDD+rBBx80bmUOAAAAALci0zelaNKkidatW6eZM2eqTJkyat68uVq0aKGo\nqCgFBwcXR48AAAAA4JZMB6pBgwZJki5cuKAtW7Zo8+bNmj17toYNG6YGDRpo8eLFLm8SAAAAANyR\n6YO1c5YAACAASURBVECVLzg4WC1atFBQUJCCgoK0bt067dy505W9AQAAAIBbMx2odu7cqc2bN2vz\n5s3avXu37rrrLjVp0kT9+/dXkyZNiqNHAAAAAHBLpgNVjx49VLNmTfXu3VuzZs1SSEhIcfQFAAAA\nAG7Py+wTBg8erAoVKig2NlY9e/ZUXFyc1q9fr0uXLhVHfwAAAADgtkyfoerbt6/69u2r7Oxs7dix\nw7gpxd69exUREaGlS5cWR58AAAAA4HYs35TCz89PdevWVWZmpq5cuaJLly4pKSnJlb0BAAAAgFsz\nHai+//57bdmyRVu2bNHevXtVqVIlRUVFaeDAgYqMjCyOHgEAAADALZkOVP3791fjxo3Vvn17TZo0\nSeHh4cXRFwAAAAC4PdOBauvWrSpVqlRx9AIAAAAAHsX0Xf4IUwAAAABwlelABQAAAAC4ikAFAAAA\nABYRqAAAAADAoiLdlGLw4MFFHuHUqVMtNwMAAAAAnqRIgerUqVPF3QcAAAAAeJwiBapFixYVaWT7\n9+//Q80AAAAAgCex/B0qu92u7Oxs499///tfde/e3ZW9AQAAAIBbM/2HfY8ePaphw4Zpz549ysvL\nK/BYzZo1XdYYAAAAALg702eoxo4dq4CAAI0YMULe3t4aM2aMnnzySf3pT3/S4sWLi6NHAAAAAHBL\npgPVjz/+qOnTp6tbt27y9vZW586dNXbsWLVr107z588vjh4BAAAAwC2ZDlRZWVkKDg6++mQvL2Vl\nZUmSOnbsqOXLl7u2OwAAAABwY6YDVa1atfTuu+8qLy9P1apV0+rVqyVJaWlpyszMdHmDAAAAAOCu\nTAeq6Ohovfnmm7p06ZK6deummJgYPf744/rrX/+q5s2bF0ePAAAAAOCWTN/lr0WLFvruu+8UEhKi\np59+WkFBQdq5c6fuvPNObpsOAAAA4JZiOlBJUvny5Y2fO3bsqI4dO7qsIQAAAADwFKYDVUZGhubN\nm6eff/5ZV65cue7xDz74wCWNAQAAAIC7Mx2ohg8frp07d+q+++5TuXLliqMnAAAAAPAIpgPVtm3b\nFB8fr9tvv704+gEAAAAAj2H6Ln+BgYGqVKlScfQCAAAAAB7FdKDq3r27li5dWhy9AAAAAIBHMX3J\n37lz5/Thhx9qxYoVuvPOO+XlVTCTTZ061WXNAQAAAIA7Mx2okpKSVKNGDUnSmTNnXN4QAAAAAHgK\n04Fq0aJFxdEHAAAAAHgcS3f5c8bLy0uVK1dWlSpV/lBTAAAAAOAJTAeqnj17ymazSZIcDockFfjd\nZrPp3nvv1YwZMwhWAAAAAG5qpu/y9/777+vuu+9WTEyMli9frvj4eI0YMUL33HOP5s+frwULFigw\nMFATJ04sjn4BAAAAwG2YPkM1Y8YMjR8/XvXq1TNqderUUYMGDTR9+nTNmzdPtWrVUqdOnVzaKAAA\nAAC4G9NnqH766SfVrl37unrt2rW1Y8cOSVJYWJguX778x7sDAAAAADdmOlCVK1dO8+bNU15enlFz\nOBz64IMPFBQUJEl69913Vb16dZc1CQAAAADuyPQlfwMGDNDw4cO1cOFCVa5cWb6+vjp+/LjS09M1\nYsQI5eTkaNasWZoxY0Zx9AsAAAAAbsN0oGrfvr0aNWqkL774QidPnpTdblfr1q3Vpk0bhYeHS5LW\nrVuncuXKubxZAAAAAHAnpgOVJFWpUkV9+/Z1+jhhCgAAAMCtoEiBqmfPnlq0aJEkqWvXrsbfnbqR\npUuXuqYzAAAAAHBzRQpU195gokaNGoUGKgAAAAC4VRQpUI0ZM8b4ecKECcXWDAAAAAB4EtO3Tb90\n6ZKmTZtm/P7JJ5+oY8eOGjRokNLT013aHAAAAAC4M9OBauzYsdq2bZsk6eDBg4qNjVXLli2VlZWl\niRMnurxBAAAAAHBXpu/yt2HDBq1YsUKStGrVKv35z3/WgAEDlJGRofbt27u8QQAAAABwV6bPUF2+\nfFkVKlSQJCUkJOihhx6SJIWFhenChQsubQ4AAAAA3JnpQFWxYkXt3btXR44cUWJiopo3by5JOnTo\nkEJCQlzeIAAAAAC4K9OX/PXs2VNPPfWUbDabHnnkEVWrVk0XLlzQgAED9NhjjxVHjwAAAADglkwH\nqqefflr16tVTRkaGIiMjJUkBAQFq166d+vTp4/IGAQAAAMBdmQ5UklS/fv0Cv3t7e6tfv34uaQgA\nAAAAPIXp71ABAAAAAK4iUAEAAACARQQqAAAAALDIJYHq/PnzrhgNAAAAAHgU04Hq4MGD6tGjh/H7\n0KFD1bRpU0VFRSkpKcmlzQEAAACAOzMdqMaPH6+IiAhJUkJCgtauXav33ntPTz/9tN58802XNwgA\nAAAA7sr0bdMTExM1c+ZMSdK3336rRx55RJGRkWrUqJEWLlzo8gYBAAAAwF2ZPkNlt9sVEBAgSdq8\nebOaN28uSfLx8VFWVpZruwMAAAAAN2b6DFV4eLiWLVsmPz8/paSkKCoqStLVy/8qV67s8gYBAAAA\nwF2ZDlSvvvqqoqOjlZWVpYEDByokJETp6emKjo5WTExMcfQIAAAAAG7JdKCKjIzUli1blJ2dbVz6\nV6ZMGS1YsED33XefyxsEAAAAAHdl+e9Q7dmzR5999pnxe506dVzSEAAAAAB4CtOB6tixY2rbtq2e\neeYZjRo1SpKUmpqq1q1b68CBAy5vEAAAAADclelAFRcXpwYNGmjTpk3y8rr69CpVqqhjx46aOHGi\nyxsEAAAAAHdl+jtU27Zt05o1axQaGiqbzSZJstlsevnll9WiRQuXNwgAAAAA7sr0GSovLy8FBgZe\nV3c4HHI4HC5pCgAAAAA8gelAVatWLS1ZsqRAzeFwaPbs2dyYAgAAAMAtxfQlf/3791efPn20cuVK\n5ebmql+/ftq7d68yMjL0zjvvFEePAAAAAOCWTAeqJk2aaPny5fr4449VpkwZ+fr6qkOHDurevbsq\nV65cHD0CAAAAgFsyHagkKTw8XDExMa7uBQAAAAA8iulAdfnyZa1YsUIHDhzQlStXrns8Li7OJY0B\nAAAAgLszHaiGDBmif//736pVq5ZKly5dHD0BAAAAgEcwHagSEhK0cuVKVa9evRjaAQAAAADPYfq2\n6RUqVODmEwAAAAAgC4Fq0KBBio2N1fHjx4ujHwAAAADwGKYv+QsMDNSGDRu0fPnyGz6enJz8h5sC\nAAAAAE9gOlCNHj1a99xzjx566CH5+/sXR08AAAAA4BFMB6qzZ89q9erV8vX1LY5+AAAAAMBjmP4O\nVbNmzXTw4MHi6AUAAAAAPIrpM1StW7fW4MGD1bJlS1WpUkVeXgUzWdeuXV3WHAAAAAC4M9OBasSI\nEZJ0w7NUNpuNQAUAAADglmE6UO3du7c4+gAAAAAAj1OkQJWTk2PchCI7O7vQYf38/P54VwAAAADg\nAYoUqBo3bqwff/xRklS/fn3ZbDanw/J3qAAAAADcKooUqGJjY42f4+Liiq0ZAAAAAPAkRQpUHTt2\nNH7Oy8tT586drxvm8uXL+uijj1zXGQAAAAC4OdN/h2rMmDE3rF+4cEEzZsz4ww0BAAAAgKco8l3+\n3n33Xb377rvKzs5WVFTUdY9fvHhRlStXdmlzAAAAAODOihyounXrpurVq+uVV15Rt27drnvc399f\nDz/8sEubAwAAAAB3VuRAFRAQoJYtWyomJkZPP/10cfYEAAAAAB7B9HeoCFMAAAAAcJXpQAUAAAAA\nuIpABQAAAAAWFSlQHThwwPh5//79xdYMAAAAAHiSIgWqzp07Ky8vT5LUpUuXYm0IAAAAADxFke7y\nV6FCBT311FOqXr26cnJyNHjwYKfDTp061WXNAQAAAIA7K1KgmjRpkhYsWKDTp09Lkk6dOlWsTQEA\nAACAJyhSoGrYsKFmzpwpSXr00Ue1aNGiYm0KAAAAADxBkf+wb76vvvpKknTixAkdO3ZMNptNd955\np8qXL+/y5gAAAADAnZkOVOnp6Ro4cKC2bNkih8MhSbLZbGrZsqWmTJkif39/lzcJAAAAAO7I9N+h\nGj9+vM6fP69Zs2bp66+/1urVq/XWW28pJSVF06dPL44eAQAAAMAtmT5DtXHjRn322WeqUqWKUatR\no4bq1Kmjv//97xo+fLhLGwQAAAAAd2X6DFV2drYqVKhwXb1atWpKT093SVMAAAAA4AlMB6rq1atr\n9erV19W/+OIL3X777S5pCgAAAAA8gelL/vr166f+/fsrPj5etWrVkiTt27dPmzdv1vjx413eIAAA\nAAC4K9NnqNq0aaOFCxcqMDBQCQkJWr9+vUqVKqU5c+aoU6dOxdEjAAAAALgl02eoJKlp06Zq2rSp\nq3sBAAAAAI9i+gwVAAAAAOAqAhUAAAAAWESgAgAAAACLPCpQjR8/XnXq1DF+T0hIUJcuXdSoUSO1\nb99e//rXv0qwOwAAAAC3GtOB6v777y+OPn5XcnKyVq5cKZvNJkk6deqUXnrpJfXo0UMJCQmKiYnR\nyJEjlZSUVCL9AQAAALj1WPrDvlu2bCmOXpxyOBwaPXq0evfubdT+9a9/qUaNGnriiSfk5+enyMhI\ntWzZUsuWLfuf9gYAAADg1mX6tulRUVEaPny4IiIidMcdd8jX17fA44MGDXJZc/mWLFmiUqVK6fHH\nH9dbb70lSfrpp5907733FhguIiJCq1evdvn0AQAAAOBGTAeq5cuXy2azKTk5WcnJyQUes9lsLg9U\nZ86c0axZs7R48eIC9YyMDFWqVKlALTQ0VOnp6S6dPgAAAAA4YzpQrVu3rjj6cGrChAnq3Lmz7rrr\nLqWmpv7u8PnfsSoqLy+bvLwKPsfb26vA/zd73R17ol543R17om6t7g49eXl5SbIb9au/u888cre6\nO/ZEvfC6O/ZE3VrdHXuiXnjdHXv6vbpZNofD4TD7pNzcXO3cuVPHjh3Tk08+KUm6fPmyAgICLDXh\nTEJCgkaMGKEvvvhCpUuXVkpKitq0aaPk5GQNGTJEfn5+Gj9+vDH8vHnz9M0335j6HpXD4TAdwgDg\nZnD69Gmt3XZUYWVuK1DPSD+rVk3uUPny5UuoMwAAPIfpM1THjh1T7969dezYMfn4+OjJJ59Uamqq\nunTpog8++EB33323y5r7/PPPlZaWpoceekjS1fDjcDgUGRmp5557TqtWrSowfGJioho0aGBqGmlp\nl254hiokxF/nz2cqL89+09fdsSfqhdfdsSfq1uolOe0LFzIlSVeu5Mhu/7WelZUrSW4zj9yt7o49\nUS+87o49UbdWd8eeqBded8eefq9ululAFRcXpwYNGujjjz82gk6VKlXUsWNHTZw4UfPmzTPdhDMx\nMTF69dVXjd9PnDihrl27auXKlcrLy9M777yjTz/9VB06dFBCQoJ++OEHffLJJ6amYbc7ZLff+CRd\nXp5dubn2W6bujj1RL7zujj1Rt1YviWnnv4nY7XblXbMfzA9X7jaP3K3ujj1RL7zujj1Rt1Z3x56o\nF153x54K69UM04Fq27ZtWrNmjUJDQ41L5Ww2m15++WW1aNHiDzd0reDgYAUHBxu/5+bmymazqUKF\nCpKkOXPmaOzYsYqNjVXVqlU1efJk1axZ06U9AAAAAIAzpgOVl5eXAgMDr6vnX45XnKpWrVrgzoKN\nGzdWfHx8sU4TAAAAAJwxfSuLWrVqacmSJQVqDodDs2fPVp06dVzWGAAAAAC4O9NnqPr3768+ffpo\n5cqVys3NVb9+/bR3715lZGTonXfeKY4eAQAAAMAtmQ5UTZo00fLly/Xxxx+rTJky8vX1VYcOHdS9\ne3dVrly5OHoEAAAAALdkOlBJUnh4uGJiYlzdCwAAAAB4FNOBKjs7WzNnztQ333yjX375RaVKlVLl\nypX1+OOPq3fv3vLxsZTRAAAAAMDjmE4/Y8eO1TfffKPHH39c1atXl8Ph0MGDB7VgwQKdOnVKI0aM\nKI4+AQAAAMDtmA5Ua9eu1Xvvvad77rmnQP2vf/2rXnrpJQIVAAAAgFuG6dum5+bm6u67776uHhER\noaysLJc0BQAAAACewHSgevTRR7V69err6mvXrtXDDz/skqYAAAAAwBMU6ZK/N9980/g5ICBAY8eO\n1fLly1WnTh3ZbDYdOHBAP/74o7p3715sjQIAAACAuylSoFq1alWB34OCgnT06FEdPXq0QG3VqlUa\nOHCgazsEAAAAADdVpEC1bt264u4DAAAAADyO5T8alZaWpitXrlxXr1Klyh9qCAAAAAA8helA9fXX\nX2v06NHKyMgoUHc4HLLZbEpOTnZZcwAAAADgzkwHqokTJ6pNmzZq1aqV/P39i6MnAAAAAPAIpgPV\nuXPnNHr0aHl5mb7jOgAAAADcVEynoubNm2v37t3F0QsAAAAAeBTTZ6hef/11Pfvss6pbt66qVKki\nm81W4PHo6GiXNQcAAAAA7sx0oBo3bpx+/vlnnT17VqVLly7wmM1mI1ABAAAAuGWYDlRr167V4sWL\n1bhx4+LoBwAAAAA8hunvUJUtW1b169cvjl4AAAAAwKOYDlQDBw7UtGnTlJmZWRz9AAAAAIDHMH3J\n3/z585WamqoPPvhAYWFh192UYuPGjS5rDgAAAADcmelA1aZNm+LoAwAAAAA8julAxV38AAAAAOAq\n04Fq1qxZhT5O4AIAAABwqzAdqJYuXVrg97y8PKWnpys4OFhVqlQhUAEAAAC4ZZgOVDe66URGRoYm\nTpyoVq1auaQpAAAAAPAEpm+bfiNhYWGKiYnRlClTXDE6AAAAAPAILglUkmSz2XTixAlXjQ4AAAAA\n3J7pS/4+/vjj62pXrlzRmjVrVL16dVf0BAAAAAAewXSgGjVq1HW1UqVKKTw8XKNHj3ZFTwAAAADg\nEUwHqr179xZHHwAAAADgcVz2HSoAAAAAuNUU+QxVz549ZbPZCh3GZrNp4cKFf7gpAAAAAPAERQ5U\nzZo1c/qY3W7X8uXLdfLkSZc0BQAAAACeoMiBKjo6+ob1AwcOKCYmRpI0Z84c13QFAAAAAB7A8neo\n8vLy9Pbbb+vJJ59URESEVq1apQcffNCVvQEAAACAWzN9lz9J2rNnj2JiYpSVlaX58+erSZMmru4L\nAAAAANyeqTNU2dnZmjRpkrp3766oqCh9/vnnhCkAAAAAt6win6Hatm2bRowYIX9/fy1dulT33ntv\ncfYFAAAAAG6vyIHqmWeeUdmyZdW2bVt99913+u677244nLObVwAAAADAzabIgapx48aSpB07djgd\n5vf+ThUAAAAA3EyKHKgWLVpUnH0AAAAAgMexfNt0AAAAALj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s97915coV08+5ke3bt9+w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6NPnz7Nv3AWBCVUCmOqB8lS2mmuOC0J0dhbcnUlY5ny24Q4GXnacACWNJix3LG3CB2iMZAMfUzS\nILRydaViGRtvqrUiWmaR3twDEMudR9ROkbeK0EeuJ0ruMCCiOMYGdm6NyB0g2Ng0Y76rtgIlVAoj\n14Nkae00V5yWhJKDQJtrvCZCh9zxrADLG+RY7thbhA7RGEiGPibp7a5cXalYxsabaq2IllmkN/cA\nxHLnEbVT5K0i9JHriVIqPmB8YOfWhinrWe7gwW2JdqwtPfYiCIL4maSmpur93a5dO0ybNs1suojo\n6GiEhobyf4mm8eOPPyIlJQWFhYVwdXXFzJkzYWtrK1tXOhYhRqn1rOS2bIwFCxYgLCxM781VW+sW\n1RSWLl2KWbNmYe/evbx7q7u7u1BXKv6f//xnnD9/HhMmTOCVN6WBnVsjpqxn0bSQkBD+hqqiogJx\ncXGtet01BiVUBEEQrZDFixfDz88Pu3fvhp+fHwDq7kkQ5mTevHmYPHmyntba/XCmoNRDJbnxly9f\nDm9v7wZdAVsrpqxn0bS8vDzMnz9fz1vV1gqvUJc/giCIVgh19yQIy6It+uFMQa4nSqn4SnUpbCmY\nsp5F04z5rtoKlFARBEG0QpS6+SAIQhnaoh+uJWGszDphnLaWjDYGJVQEQRAEQRDNzOLFi83dBMII\nojLrxNOhZJQ8VARBEARBEARBmIhS/raWDCVUBEEQBEEQBEEQJtJ6C+wTBEEQBEEQBEE0M5RQEQRB\nEARBEARBmAglVARBEARBEARBECZCCRVBEARBEARBEISJUEJFEARBEARBEARhIpRQEQRBEC2eQYMG\nIS0tzdzNeCoffPABPDw8zN0MgiAIQkFoYF+CIAjCoikvL8eHH36II0eOoKSkBLa2tujXrx+mTp2K\n2bNnt6gBOFtSWwmCIIimQQkVQRAEYbEUFxfDz88PQ4YMwYYNGzBw4EBUVVXh6NGjWL16NU6ePIkN\nGzaYu5kEQRBEG4a6/BEEQRAWi1qthqOjIzZv3oyBAwcCAOzt7TF58mRs3LgR3bt3x4MHDwAA1dXV\nCA0NxZgxYzBy5Eio1WpotVoea/v27Xj11Vfx61//Gi+//DIiIiJQXV3Npw8aNAjp6ekICgrCmDFj\n8H//93+Ijo7m0xMTEzF9+nQcOnQIU6ZMwfDhwzF9+nRcuHCBf+fBgwcICwuDl5cXhg8fDl9fX+zf\nv7+5VxNBEARhRiihIgiCICySiooK5OTk4J133oFK1fByNXLkSERERMDBwQEAkJSUhNdffx0nT57E\nunXrkJycjC+++AIAkJmZifj4eMTFxeH8+fPYuXMnDh8+jM2bN+vF3LRpE2bMmIFTp04hKioKSUlJ\nyMrK4tOLi4tx+PBhJCcn49ixY+jQoQPeffddPt3f3x93795FcnIyTp8+jfnz5yM4OBjHjx9vjlVE\nEARBWACUUBEEQRAWyc2bNwEArq6uTfq+l5cX3N3doVKp4OnpiW7duuHKlSsAgEmTJiEnJwcjRowA\nADg7O2PcuHE4e/Zsgxjjxo1Du3bt4O3tDTs7O1y9epVPr6qqwsqVK2Fvb4+OHTvC29ubT798+TLy\n8vIQEhKCnj17wsrKCj4+PvDw8EB6evrPXh8EQRCEZUIeKoIgCMJiYYzB2tq6Sd91cnLS+9vW1ha1\ntbUAgLq6OiQmJuLQoUMoLy+HVquFRqPBsGHD9OZxdnbW+7tjx46oqanhf3fp0gX29vb872eeeQY/\n/vgjAOD69esAgN///vd67WeM8USOIAiCaH1QQkUQBEFYJC4uLlCpVCgoKMDgwYOf+v3GugVKvPvu\nuzh69Cg2bNgANzc3qFQqBAcH87dgTYkBGK/S16FDB7Rr1w5ZWVlwdHR8ansJgiCI1gF1+SMIgiAs\nkk6dOmHixInYsmULfwtUn0uXLmHSpEkoLi5+aqz8/HxMmjQJI0aMgEqlgkajQUFBgaLtdXFxAWNM\nr0gFAHz33Xd6xTEIgiCI1gUlVARBEITFolarAQCzZs3C6dOnodVq8fDhQ3z22WeYN28eXn75ZfTt\n2/epcfr164evv/4aDx8+xN27dxEZGQkHBwfcv38fGo1Gkba6uLjA09MTcXFxKCwshFarxbFjx+Dr\n64sDBw4o8hsEQRCE5UEJFUEQBGGx9OrVC/v27cP48eMRGhqKUaNGwdvbGykpKQgPD0dERAQAXVc8\nw+549bXg4GAAgIeHB95++22MHTsWYWFhqK6uxqRJk4QxJL2pvPfee3jxxRfx5ptvws3NDWvWrEFI\nSAgmT55s0vITBEEQlk87xhgzdyMIgiAIgiAIgiBaIvSGiiAIgiAIgiAIwkQooSIIgiAIgiAIgjAR\nSqgIgiAIgiAIgiBMhBIqgiAIgiAIgiAIE6GEiiAIgiAIgiAIwkQooSIIgiAIgiAIgjARSqgIgiAI\ngiAIgiBMhBIqgiAIgiAIgiAIE6GEiiAIgiAIgiAIwkQooSIIgiAIgiAIgjARSqgIgiAIgiAIgiBM\nhBIqgiAIgiAIgiAIE/l/8i7eP3EQbAYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24d0d6c10>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Most differentiating Features\n",
"Features that are most distinct between the maximizing signal windows and baseline windows of the same size that were randomly sampled from inputs of the 3 other classes, but <b>starting at the same time samples during the trials</b> as the maximizing windows. This is done to get a better baseline for filters that appear to be time specific.\n",
"\n",
"There are no channel specific features in L03, because the features are extracted for the one channel in the receptive field.\n",
"\n",
"<b>Score is calculated by</b> the Kolmogorov\u2013Smirnov test\n",
"https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Smirnov_test \n",
"<b>0</b>: Complete overlap of distributions <b>1</b>: No overlap\n",
"\n",
"Labels show type of feature and corresponding Hz or Channel name\n",
"<b>Power</b>: Total variance of signal\n",
"<b>FFT</b>: Frequency Amplitude in Channel \n",
"<b>FFTc</b>: Change of Frequency Amplitude in Channel between first and second half of input window \n",
"<b>Phase</b>: Phase of frequency in Channel \n",
"<b>Phasec</b>: Change of Phase \n",
"<b>Mean</b>: Mean of signal amplitude over complete RF \n",
"<b>Meanc</b>: Change of mean from first to second half of input window "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.print_features(feat_mean_diff,feat_p,labels,sort_mean_diff[:20])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Score 0.997000 p 0.000000 : Power N/A\n",
"Score 0.996000 p 0.000000 : FFT N/A 75.0\n",
"Score 0.974000 p 0.000000 : FFT N/A 100.0\n",
"Score 0.966500 p 0.000000 : FFT N/A 50.0\n",
"Score 0.966000 p 0.000000 : FFT N/A 25.0\n",
"Score 0.704500 p 0.000000 : Meanc N/A\n",
"Score 0.601000 p 0.000000 : Phase N/A 75.0\n",
"Score 0.552500 p 0.000000 : Phase N/A 25.0\n",
"Score 0.521000 p 0.000000 : FFTc N/A 25.0\n",
"Score 0.443000 p 0.000000 : Phase N/A 50.0\n",
"Score 0.392500 p 0.000000 : Phase N/A 100.0\n",
"Score 0.318000 p 0.000071 : Mean N/A\n",
"Score 0.292500 p 0.000342 : FFTc N/A 0.0\n",
"Score 0.212000 p 0.020989 : Phasec N/A 25.0\n",
"Score 0.207000 p 0.025957 : FFT N/A 0.0\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Feature distributions\n",
"Distributions of the 5 highest scoring features for maximizing and baseline signal windows.\n",
"Blue shows the maximizing and green the baseline windows"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print features_class.shape,features_base.shape\n",
"plot.subplots_4_features(features_class,features_base,labels,sort_mean_diff[:4])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(50, 15) (2000, 15)\n"
]
},
{
"output_type": "display_data",
"png": 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F7vyfOFaVR5XXyY6iPews2sPgpAFc1HsqfZLPkqEzLcxeVbsFiLGVS6QAxWVV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\nmbPPPpuNGzfy4YcfUlJSwkMPPRSxmF5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"text": [
"<matplotlib.figure.Figure at 0x2af24d010850>"
]
},
{
"output_type": "display_data",
"png": 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2ADztbuZOvprs7OwUj2zw8fhCRDOwxoxIfgNFUHfENRo0+AIRQinY42uokvDH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\nRozJeI6sAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24cf8fa50>"
]
},
{
"output_type": "display_data",
"png": 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2eGzv3r1dthcvXszixYtPeq3OIi0QDCSWdCsZDvtQd2NAkGWZ5mZVUY+daIrt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\nDIBMCgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24d7e5e90>"
]
},
{
"output_type": "display_data",
"png": 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AURSc7vYXYZbBF1qTQUvMWeDxJV7Z+lwkIaEtLy/n0KFDrFu3DrPZzMSJE1mx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\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24d9d3b50>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<b>Plots to investigate a specific feature</b>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_dist_comparison(features_class,features_base,labels,sort_mean_diff[5])"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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Mu7R9/OMZyy59PWXbr/EbvsrtkUxCYU/t+mUxgfeOezE37sb8NK+qGguWL1+u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\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24dc019d0>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Average signal window\n",
"Average of the 20 maximizing signal windows and baseline windows. \n",
"The red curve is the average with 1 std confidence interval. Blue dots are the original values at that time sample."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print index_labels[sort_mean_diff[:10]]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[['Power', [0]] ['FFT', [0, 3]] ['FFT', [0, 4]] ['FFT', [0, 2]]\n",
" ['FFT', [0, 1]] ['Meanc', [0]] ['Phase', [0, 2]] ['Phase', [0, 0]]\n",
" ['FFTc', [0, 1]] ['Phase', [0, 1]]]\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print X_baseline.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(2000, 1, 10)\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_channel_avg(X_RF_cropped,0,'Maximizing input windows')\n",
"plot.plot_channel_avg(X_baseline,0,'Baseline input windows')"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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oGYYYtgBzsGDwMQQTERERhTkOFgw+hmAiIiKiMMfBgsHHEExEREQU5jhYMPjY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\ng0yKIuhy7xpIs7pqqRWfC/RojEhzjMhlHJ1ywFg6Q75/ELd/EH9oCDU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PAAAg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\nsCyrYYSqYRgsWLCA7OzsSIfY7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"text": [
"<matplotlib.figure.Figure at 0x2af24dcafad0>"
]
},
{
"output_type": "display_data",
"png": 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GA3z+EDp8QchSap0Q2HWBaD84tzD1hE2NifwBBd9UtUENd9JVNQ07q9qELhNK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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24dcbd190>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": true,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": true,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Layer 04"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Analysis of filters in Layer 04"
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"del RF_Result"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"RF_Result = receptive_field.load_ClassData(os.path.join(savepath,modelname,'ClassAnalysis_FilterDiff_nUnits200_nFilters5'),4,cl)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Filter activation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_max_filters(RF_Result)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Max filters: [10 4 22 11 19]\n"
]
},
{
"output_type": "display_data",
"png": 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RRAIAALj48Ik1ljGdDQAAANuoRAIAALg4WFhjGSMFAAAA26hEAgAAuPiwsMYy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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24daba950>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<b>Filter to look at</b> (index in Max filters)"
]
},
{
"cell_type": "code",
"collapsed": true,
"input": [
"filt = 0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_RF_cropped = utils.get_RF(RF_Result,filt,128)[:n_class_inputs]\n",
"X_baseline = utils.cut_baseline(RF_Data.inputs,wins_per_input,X_RF_cropped.shape)[:max_baseline_inputs]\n",
"\n",
"frequencies = scipy.fftpack.fftfreq(X_baseline.shape[2], 1./sampling_rate)\n",
"frequencies = frequencies[:frequencies.shape[0]/2]\n",
"\n",
"feat_mean_diff,feat_p,index_labels,features_class,features_base = utils.extract_features_and_diff(X_RF_cropped,X_baseline,sampling_rate)\n",
"sort_mean_diff = feat_mean_diff.argsort()[::-1]\n",
"labels = utils.make_labels_from_index_labels(index_labels.tolist(),\n",
" {'FFT':[sensor_names,frequencies],\n",
" 'FFTc':[sensor_names,frequencies],\n",
" 'Phase':[sensor_names,frequencies[1:]],\n",
" 'Phasec':[sensor_names,frequencies[1:]],\n",
" 'Mean':[sensor_names],\n",
" 'Meanc':[sensor_names],\n",
" 'Power':[sensor_names]})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"FFT_bands_diff,Phase_bands_class,(FFT_KS_bands,Phase_KS_bands) = utils.get_FFT_Phase_band_means_KS_diff(X_baseline,X_RF_cropped,sampling_rate,frequencies,freq_bands)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/hartmank/braindecode/vienv/local/lib/python2.7/site-packages/numpy/core/_methods.py:59: RuntimeWarning: Mean of empty slice.\n",
" warnings.warn(\"Mean of empty slice.\", RuntimeWarning)\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Receptive field starting sample"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_RF_starts(RF_Data,RF_Result,X_baseline.shape[2],filt)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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dcZdBREREpRDPwRIRERFRqcDgSkRERESlAoMrEREREZUKDK5EREREVCowuBIR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\nAABXoHAFAACAK/w/0G0vBO15WsoAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24d800690>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Most differentiating Features"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.print_features(feat_mean_diff,feat_p,labels,sort_mean_diff[:20])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Score 0.731844 p 0.000000 : Mean Cz\n",
"Score 0.693520 p 0.000000 : Mean CCP1h\n",
"Score 0.671844 p 0.000000 : Mean FCC1h\n",
"Score 0.656201 p 0.000000 : Mean FCC2h\n",
"Score 0.643687 p 0.000000 : Mean FC2\n",
"Score 0.627709 p 0.000000 : FFT FCC1h 0.0\n",
"Score 0.601564 p 0.000000 : Mean CP4\n",
"Score 0.594302 p 0.000000 : FFT Cz 0.0\n",
"Score 0.574637 p 0.000000 : Mean C1\n",
"Score 0.560894 p 0.000000 : FFT CCP1h 0.0\n",
"Score 0.548715 p 0.000000 : FFT FCC2h 0.0\n",
"Score 0.547151 p 0.000000 : FFT FC2 0.0\n",
"Score 0.510615 p 0.000000 : FFT Cz 75.0\n",
"Score 0.508156 p 0.000000 : Mean FCz\n",
"Score 0.502905 p 0.000000 : Mean CCP2h\n",
"Score 0.494413 p 0.000000 : FFT CCP1h 75.0\n",
"Score 0.493408 p 0.000000 : Phase PO4 25.0\n",
"Score 0.488939 p 0.000000 : Mean FC1\n",
"Score 0.483017 p 0.000000 : FFT CP4 0.0\n",
"Score 0.475419 p 0.000000 : Mean C2\n"
]
}
],
"prompt_number": 27
},
{
"cell_type": "heading",
"level": 5,
"metadata": {},
"source": [
"Feature distributions"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print features_class.shape,features_base.shape\n",
"plot.subplots_4_features(features_class,features_base,labels,sort_mean_diff[:4])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(50, 1920) (1790, 1920)\n"
]
},
{
"output_type": "display_data",
"png": 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UgiwVz4f7zXKPCqYmLaF1uVx4POOXbw4NDSFJEmVlZTOyXbp08iWUNpsNp9NJ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\nMAxjYyzQMgzD2Nj/A4Alc71hVlDZAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2af258008650>"
]
},
{
"output_type": "display_data",
"png": 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87jYoLrDhthun7LxzEu6DkUa0/kEjTWcmRrSJpN9BNUREFTkPBLOLtIS2sbGR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\nVn8P6c4lA62HnS/Tcb7Mcco+JOFXt+x9G6YSL7K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kt8M+uXfvXqqrq3n88ccZOHAgkydP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\nA60kSZKHyUArSZLkYTLQSpIkedj/A97w5v/JonH3AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2af259d4cf50>"
]
},
{
"output_type": "display_data",
"png": 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YunUrK1euZO3atTz22GOXtd2/fz/r1q1j+fLl3HXXXTQ0NIxq99xzz3Httdfy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\ndjNnr5/j7PVzaBQNoX53MCCoP+FBYYyIGEp/dX8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"text": [
"<matplotlib.figure.Figure at 0x2af259f63cd0>"
]
},
{
"output_type": "display_data",
"png": 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sei25TESN4I34knYdgSBZzNwAuBnEOyd6aRgWWZ0Ms2dZkYBwROXH9af40Ssn\nx4TOpYqwEo6lRrTJyRtZS5I0Un48kjlRBwJBFDGiTXNauwY52qz5JPPsJu5ams3K5RW09Xp55vmj\nnO/x8tqh89htBj72/mtS2raB4MjEnE1O3ogWwG7MxjnkxhMWI1pB5iFGtGlMOKLwx6NaYUKLScet\nN8/BbtHys5bk23j0viWUFGgB/L/4fTPHzqZ2kijqNoDkjmhBE1oAb8SHooqoA0FmIUa0acyRU734\nhrRaWbfcWIzZIONyOentHZmFf/BD8/jmz0/iG4rwzC+Psm3dQqzmS7+teXl5yHJivl/dw0KrR48B\nQ0LOeSkcJi10TEHBFXRTSGFSrycQJBIhtGlKKBzh0HFtxVVBjoW5BTbczj7ONHfjjjjG2JZfZePg\niQEGfGH+/eUz3Hzt+BVoPR43t91yA/n5+Qlpo2vIDYBNSk7EwWiiI1qAnqE+FnJ9Uq8nECQSIbRp\nypn2QYaCEQBuXpgfEzKrNRt7Tt4YW3sO9HjgTPsALd0BbrimgKLc5PpMgVjaQquU/BCzLGMWEpJW\nqDHQl/TrCQSJRPho05TjrVqeiNxsE0W5Vxayv1pUgFGvvZ3/09QdW96aLIKRIP5wAAAryRdanSST\nPRx50DMkhFaQWQihTUP63AH6BrSFAIvm5UzoZ7nFpOc912suAefgEGfakpske8xEmHTl3A2JIOo+\nECNaQaYhhDYNOdWm+T71OolrSyaeP2DhvBwcNm2J859P9hBKYqKP0dUOUuE6AHAMC23vUN+0xA0L\nBJNFCG2aoaoq57o8AFw9247JoJvwsbIssfQGLRuafyjCsRbnFY6YPNEYWovOjF5KjavfPhx5MKQE\nYxNxAkEmIIQ2zeh1B2IhXdeW5MR9/Jx8G8V52kRY45l+AsFwQtsXZTCofRlE/aapYHTkQac3vrzF\nAsF0IqIO0ozW4dGsTpa4qjibcCg+oZQkiSWL8nnxj62EIgpHTvexvLQIGEk7OBWiKQqjI9psYxYk\nR8svwj5K1Dt93ZTOypyyNoK/bOIW2ra2Np544gneeecdbDYbd9xxB5///OfHtd2/fz8/+tGP6Ovr\nY9GiRXzhC1/gxhtvvMjutdde4zOf+Qw/+MEPWLZsWfy9mEG0dmkCNiffhtGgi1toAfIdFq4qzqal\nc5ATrS5Kr8ol22rE63Hzu3e6KCwMXvkk4+DxuFm6sICIquANaUth7cZsSNGqWL2sxyKb8SsBOrxd\nqbmoQJBGbd06AAAgAElEQVQA4hbaLVu2UF5eTn19PX19fTz00EPk5+ezYcOGMXb19fXs2bOHffv2\nsWjRIp599llqamp49dVXMZtHZqn9fj//9//+X6zW5Md9pjuDviCDPq1s9/yiqf0kv/n6fFq7BlFU\n+POJXv76PXMAsNrsF8XhxotvVAatbGMWCqEpnS8esvQ2/MGAcB0IMoq4fLQNDQ2cOHGC7du3Y7PZ\nmD9/Phs3bqSuru4i27q6OtatW0d5eTlGo5HNmzcjSRL19fVj7L797W/zvve976KaY3+JdPSOCNic\n/KkVIbTbjCycp/l4z3YO0uP0T+l8oxmdqnC03zQVZOm016XTJ0a0gswhLqFtamqipKSErKyR0VZZ\nWRnNzc14vWPT1x09epSysrLYtiRJlJaW0tDQENt3/PhxfvnLX7Jt2zYRrgO092mvod1mJMsy9dwB\nN103C8PwIoa33u1O2GvsGRZaGSnhVRWuRJZeu5435ItNyAkE6U5crgOXy4XdPjauM1qk0eVyYbPZ\nLmvrcDhwuVyx7S9/+cts3bo1do7JkEk15fV6GZ0koZMvXoCgqCqdfZqAleRbY4lftP/K8GMJ6RLH\nj4fNbOA9183irXd76HUH6LDpmF8w8eMvRJYl9HoJX0QbHWcZs9Dr9cg6afhvuM0XbI+3T9ZJyMML\nMWRJAp08ofPYDSMj6O5AN7nWxNYpSyTRezOT7tF4mOn9g8T1bcpRB9FR0kRWL40eUdXV1aGqKnff\nffeUrp9JNeVNJgmr1YjVenE9ls4+L8HhBQbXlORgNmsj2uh/gCG/EbNZP+7xl+Kvyoo51TaAc3CI\nU10Rrp6ti+v40QSHjNjtVvwdmtDmWR3YrEYsZiM6gx6bVVssceH2ePui2wCW4dH7RM5TmJ0Lw9kg\nnZF+cnOn5mJJBZl0j06Gmd6/RBCX0Obl5eF0jg2Cd7vdSJJ0kY/1UrYLFy7E6XTyrW99i3379k2y\n2SNkUk15n8+HzxfE6Bu66LmWDi0AXwJybQYCgRBms/Y/GlLl8wcJBML4xjn+ctxSVsR/H2wlFIFD\np7wUFQYmlW3L7w/idqsMDP9kt+pseH1B/IEgukgEr0+LZrhwe7x9/kAQw3C//P4QiqpO6DyhIYU8\nYw79QRcnu1u4pSB9Ky7odDJ2uyWj7tF4mOn9g5E+TpW4hHbx4sW0t7fjcrliP/ePHDnCggULsFgs\nF9k2NjayZs0aQIu/bGpq4p577uH111/H5XKxcePG2Ch3YGCAhx9+mLvuuov//b//94TblEk15cNh\nhYiqElEu9pVG3Qa5dhM6nRwTV0VRYvaKoqJe4vjLUZBr4fq5Dk6ed9PljnDinJvr5jqufOAFKIrK\nYNBPSNVCzrINNpSIghJRkWQVZfjDduH2ePuUiBpLfKOoahznUSg0F9AfdHFusD0j3vtMukcnw0zv\nXyKIywFRWlpKRUUFu3btwuPxcPr0aWpra7nvvvsAqKqq4tChQwBUV1fz/PPPc/jwYQKBAE8//TQm\nk4lbb72Vj3zkI7z22mv84he/4Pnnn+f555+nsLCQr371q3z2s59NfC/THFVV6XZpP8cLJ5CpazIs\nvaEQy/Av8INNXZOOQnCGR5a+Zqc44iBKkVlbZtzu6RTVFgQZQdw+2t27d/P444+zYsUKsrKyqK6u\nprq6GoCWlhZ8Pm1ktnLlSrZt28bWrVvp7++nvLycvXv3YjRqn/aioqIx59XpdOTm5pKdPT0f3unE\n5QkSDGmCkaw8sga9zOISHX86GyGiqNQfauODS+eS74gv89ZoobWncPntaIotWnWFkBKix99HkbVg\nWtohEEyUuIW2qKiIvXv3jvvcsWPHxmyvX7+e9evXT+i8r732WrxNmTF0O0fiUpM1ogWwWyQWzzfS\n0BJkKBThpYOtLL2hgOvn5iCPikRQVRVvIEyfO8CgL0g4omIy6rAbwwxZNaE16oyYdJObVJsq0REt\nQJunQwitIO0RuQ7SgO7hn/HZVgMWU3LfkkK7npXvyeeNIx1EFJWDTd0cOd1HUa4VvV7GPxSmfyCA\nfygy7vGOG3vABnbD9IxmAXKNORh1RoKRIG2eDpYUVkxbWwSCiSCENg3odWuVCgpyUhMmc3VxNllm\nPX9s7MI5OIR/KMLZzsFxbWUJ9Do5FnoWkAeRAYMyfUIrSxIltmKaB1pp83RMWzsEgokihHaaCQTD\nsfwG+TmpqVSgXcvCR993Fee6PJzr9uDyDBGJqJhNOhw2I/kOCwU5ZrJtRmRJwj8U5p3jbZwzaW6O\ntrNm3LMUHPbUBqtHM5Dl6XNpppVz7jYURUlYZV+BIBkIoZ1moqNZgAJHagO/ZUlLxXhV8ZUnIC0m\nPVfNUzg/HJIV8mRR//oQd300dV8OAJ4BD292H8Tv0GJrXSE37T0dzC0qSWk7BIJ4EMOAaabXpQmt\nTpbIzZ6eyaWJ4mUk4kD123C6VI4eS1Ey2lHYsm3MyS2ObXcFelLeBoEgHoTQTjO97uHlrHbTmJn/\ndMRDdPWaRL5dW/r658MhAkOpv40cppEFF11+IbSC9EYI7TSiqmrMdZCfYrfBZPCqmtDadFbeX2lG\nkiASgZa21LfdqDPEMod1BkRuWkF6I4R2Ghn0hWILFVI5ETZZoq6DLL2NvFyZq+drhSPPd5kJBlM/\nGs8ZHtV2+oXQCtIbIbTTSN/AyETYLHt6C62qqiNCq9NGkhWLtaxbiiLR0pZ6/3KeScu30RnoJqSk\n3lcsEEwUIbTTSP+w0Br0MtnWqSf6TiY+ZZAI2iKGaJWDWXkyc+dot9D5DhNKnMlupsosi1aSJ6JG\naPO0p/TaAkE8CKGdRvrcWrrDWXbzpNIWppLBSH/scZZ+JAfsooVahOBQUOZ82/iryZLFLPNIas6z\n7nMpvbZAEA9CaKcJVVVjI9o8e3qHdQEMDAuthIRNNzL5Na9Eh9GgCezxk6n9+W7UGbENuzHODrSm\n9NoCQTwIoZ0mPP5QbFnrrDgzaE0HA4omtHZdFjpJF9svyxIlRdrI/Hy7gt+fWvdBjl4rZSOEVpDO\nxC20bW1t1NTUUFlZyerVq9m5c+clbffv309VVRXLli3j/vvvp7GxMfac2+3m0Ucf5b3vfS/Lly/n\ngQce4MiRI5PrRQbS586ciTAYGdHmGS6u71ZcoAmtqsLZ1tSOanMMmtD2+PvwBNO32oLgL5u4hXbL\nli0UFxdTX19PbW0tr7zyCrW1tRfZ1dfXs2fPHnbs2MGbb77JqlWrqKmpIRDQBOaLX/wiXq+Xl156\niTfeeIMbb7yRT33qU0QiqfXzTRd9A5o4ZcJEmKqqDEa0skR5+ouFNssaIcumCWxzS2rfv+iIFsSo\nVpC+xCW0DQ0NnDhxgu3bt2Oz2Zg/fz4bN26krq7uItu6ujrWrVtHeXk5RqORzZs3I0kS9fX1AHzk\nIx/h8ccfx263YzQaWbt2LU6nk76+vsT0LM1xDg77Z7NNaT8RNqT6Capae3PHGdECzC7UEuN0dikp\nXSmWrc9CL2kTcmcHxISYID2J6xPR1NRESUkJWVkjKfLKyspobm7G6x37s+3o0aOUlZXFtiVJorS0\nlIaGBgDuvPNOiou19er9/f3U1taydOlSCgsLJ92ZTEGbCNNGtHkZ4DYYHXEw3ogWoLhgpIBiT79x\nXJtkIEsysy1atQ4xohWkK3EJrcvlwm63j9kXLdLocrmuaOtwOC6yq6qq4v3vfz/nz5/nm9/8ZjzN\nyVj8QxECQe0ndronkoER/yyM76MFsFkVcnO0kXkqhRZgrnU2AC0D58aUtBcI0oUpp0mM3tgT+fk7\n3ofg17/+NU6nk+985zvcd999/PKXv8Rkmrj46HSZEzih18voJAmXZ6RceEGOGd04yWSi+VW1/8rw\nYwlJksa1nwjRY+M93q1oSVvMWLEZTciKjDzqdZd1ErJO4qr5epyuEP1uAxFVGtcmuk/WScjD94ws\nSaCTx7fRXek8MvPNc/hjL/jCfvqD/RTZ0qO0TfTezKR7NB5mev8gcX2LS2jz8vJwOp1j9rndbiRJ\nIjc3d0K2CxcuvOi8ubm5PPbYY/z0pz/l9ddf57bbbptwmxJRcz1VmEwSVquR9h5t4kiWJWYX2i8r\nfGbzyETZkN+I2azHap3cKNhiMaLTG+I+3j3QC0CuvgC73YpVMmKzjoxaLWYjOoOeRddbeOdICFWV\nGBiwjmsT3Rfd1tpluKzN5c4T8hu5sfg6OKs93xFs54a5V8fVv2STSffoZJjp/UsEcQnt4sWLaW9v\nx+VyxVwGR44cYcGCBVgslotsGxsbWbNmDaBlxm9qauLee+/F6/Xy8Y9/nD179nDDDTcAIyNivT6+\nQfbAgJ9IJDNKTvt8Pny+IJ19Wntzs4wMBYLj2sqyjNlsIBAIoSiavc8fJBAI4/MNjXvMlfD7g+j0\nxHV8RI3QH9RGtFlKLgMDPnyBIAbfSLv9gSC6SITZ+RGsFgmfX+VcB5SPY+Md3ucPBDEM98vvD6Go\n6rg2o7fH2+fzB5EDenLNOTgDLg63vct7cm+a1OuTaHQ6GbvdklH3aDzM9P7BSB+nSlyqVlpaSkVF\nBbt27eKxxx6jq6uL2tpaNm3aBGj+1ieffJIlS5ZQXV3NI488wp133smiRYvYt28fJpOJVatWYTQa\nWbBgAf/yL//C1772Nex2O9/5zncwGo0sWbIkrg5EIgrhcGa8yeGwQkRVYzG0udlmIpfMD6D1SVGU\nmI2iqKiqepljLk/02HiOd4X7UIZzHGSruYTDKkpEQRn1wVIiKpKsoioqc0tkTpyK0NOrJxyKxHLs\nRm2ixykRFWXYlaSo0XNebDN6e/zzKEQicJ3jGt4K/JkT/afT7n7IpHt0Msz0/iWCuB0Qu3fvpqur\nixUrVvDggw+ydu1aqqurAWhpacHn02pKrVy5km3btrF161YqKys5cOAAe/fuxWjUfvLt2LGDwsJC\n7rjjDlasWMGf/vQnvvvd78ZGyjOVUETF49dCoTJh6a0z0hV7nKXm4nQ68Xq9eDye2J/P58Xn8+Hx\neMifpfUtFJY5d957kU2yJquuy7kGgN5AP86A6wrWAkFqiXsyrKioiL1794773LFjx8Zsr1+/nvXr\n149r63A4eOqpp+K9fMYz4BsJ6M/NBKEND0+ESTbCg0H+2NxFMN+DzT9i09PjQafX4ZWsRMIADkCm\n6dQQc+YGYjYRJUxxyewx4YGJ4vqca2OPT7maWVZ8c8KvIRBMlpk7XZimDPhGfmJlQmiXM6wl1c7V\na/HNVms2ZrMNi2Xkz2SyYrJYsFhsZGXbsJg1H/DggGmMjdGY+P5Gq+LKPimWVexoZ1PMry0QpANC\naFOMe3hEm2UxYNTrrmA9vSiqgiuijWhzdRMPmbJZteGuZ1AiNP5cX8LwDHh4s+Ug/9P5p1ie3Cbn\ncfr7+69wpECQOoTQppio0GaCf3Yw0h+bCMvVF034OKvVN/xIwuVM/i1my7bhyMuhxKEtXPCpATxh\nkWBGkD4IoU0hkYjCoF/7SZuXCW6DyEgtrhz9xEe0RmMIvV6LFXY6U5fHocCSH3vc4jmfsusKBFdC\nCG0K6XIFiEZW5WZAjoOof9YkWbBIE5/AkiSw2rRJMFe/TKpWxeaY7BhlbfFDi1ckmBGkD0JoU8j5\nnpGfs5k0os1Wcxl0O/EMuvF6BmLxr5fDNhyWEAxK+LypGdVKkkSBVRvVnhVCK0gjhNCmkPM9mu/S\naJCxmqecZiKpKGoE13BoV9A/xNmhY3TrznE+cJLgkO8KR4PNNpLYfDrcB92BHnwh/xWsBYLUIIQ2\nhbT1aiPavOz0L8bYH+4iguZnzTbkkeWwY7VnY7JObDmiXq9gy9L80a7+1N1mhZZZAKjAGffZlF1X\nILgcQmhThKqqsRFtJsTP9oS1ySQJCas6uQUGuXmai2HALaEoqfliyTXnoEMLmzvlak7JNQWCKyGE\nNkU4B4fwBrQRYiaEdnWHNB+ng3xkJhfvm5Mbzdcg4Q+kps+yJMfqiAmhFaQLQmhTRGu3J/Y43YU2\noobpDXcAkMfE42cvxO5QkWVtVOvzpS6VXjQ5eevgeYKRJK+YEAgmgBDaFHGuaxAAWQK7Lb2Ftj/c\nGVuokCcVT/o8sgyOnGGh9VsT0raJEBXaiBoR5W0EaYEQ2hTR2qWNaLMt8qQrJCQbRVEYcPVzbvAk\nABIyukHDhMK5LkVunuY+CAaNhMOpibTIMdjRSdqtLdwHgnQgbqFta2ujpqaGyspKVq9ezc6dOy9p\nu3//fqqqqli2bBn3338/jY2NseeGhob46le/yqpVq1i+fDmbNm3i5MmTk+tFBtAyPKJ1WNM3v4Fn\nwMWxvrdoV84AYFasnO5vmFA416XIyRtJ7uL326bcxomgk3TMsWgj8dOusym5pkBwOeIW2i1btlBc\nXEx9fT21tbW88sor1NbWXmRXX1/Pnj172LFjB2+++SarVq2ipqaGQECLr9yxYweHDh2irq6O3/3u\nd8yePZu/+7u/m3KH0hFvIETvcLLvdBZaAFOWhYCshaHlmAow26YmjhYLmMzaiDhVQgtwlW0eoIV4\nRZTIFawFguQSl9A2NDRw4sQJtm/fjs1mY/78+WzcuJG6urqLbOvq6li3bh3l5eUYjUY2b96MJEnU\n19cDkJ2dzWOPPUZRURFms5kHH3yQ1tZWenp6EtOzNCLqNgBwWNPbW+OXPKhowpgtTz0JuySNuA/8\nARuTLA4RF4qikKdokQdBJUTDeZE2UTC9xPWpb2pqoqSkZEzi5rKyMpqbm/F6x2ZLOnr0KGVlZbFt\nSZIoLS2loaEBgM9+9rMsX7489nx7ezsmkwmHwzGpjqQzrcNuAwmwp/mI1isNAJp/1iYn5r3IjYV5\n6bigXmdS8Ax4aO0eSSrz2tnfirSJgmklLqF1uVzY7fYx+6KlZ1wu1xVtHQ7HRXagVcd98skn2bRp\nU6zUzUwiKrSFuWb0uvScCANtUYVH1t4fuy4PWUrM6NuRq8LwKLmjMzX9d2TbyTFpXxReWSzFFUwv\nU54GjtaAmsiS0vHqRXV3d/PQQw9x4403TspHmwk15aMxtPMLs9BJoQlFHciyPOq/MvxYQpKkSUct\nRI+91PE+2U1I1aoj5OoLkGQJSdaOk4avLUkj27HzymP3XbhtMILVEsDnt9DRBbJORtZJyMP3jCxJ\nEN2nk5CH39MLt8fbdzmbAlM+riE3zpAbnQ70+tTeK9F7MxPu0ckw0/sHietbXEKbl5eH84Lffm63\nG0mSyM3NnZDtwoULY9utra1s2LCB1atX86UvfWlS6//TvaZ8YChMx3COg0VX56IOubBaJx5HazYb\nYo+H/EbMZn1cx4/GYjGi0xsueXzfQBvD4bMUWIoxyHqMBh2yXo/RqMdg0GEw6jAMb0cZbTPeNoDd\n7sHnt+B0SaiqHovZiM6gH26X1sfoPpvVOO52vDbzsoo46TxNUA0RNAbIzU3dZNxo0v0enSozvX+J\nIC6hXbx4Me3t7bhcrpjL4MiRIyxYsACLxXKRbWNjI2vWrAG0CYqmpibuueceAJxOJ5s2beKee+7h\n05/+9KQ7kO415U+ec8UmgAqyjZx1BjH6hq54nCzLmM0GAoFQbCLH5w8SCITxTeD48fD7g+j0XPL4\n80Et5jRbl4MalgkSJhiKoAOCwTChUIRQMEIoHCYYDMeOG20z3jaA2ewBtC/j4yf92PRBDMP98vtD\nKKqKPxBEF4ng9WmruS7cHm/f5WwcOXmxfQ0dJyhxzJ/U6zZZdDoZu92S9vfoZJnp/YORPk6VuIS2\ntLSUiooKdu3axWOPPUZXVxe1tbVs2rQJgKqqKp588kmWLFlCdXU1jzzyCHfeeSeLFi1i3759mEwm\nbr31VgB27drFTTfdNCWRhfSvKX+qzR17PGeWhdMtKpEJTb1HJ5CUmL2iqKjqRI+/mOix4x3vjbgZ\nRPsFkiMXoA7bqIp2nDp8bVUd2Y6dVxm778JtAIM+jF4fJBw20toaZtFVamwhhKKqKBEFJaIiydpj\n4KLt8fZdzsYim7HprXjDPpoHz0/bfZLu9+hUmen9SwRx+2h3797N448/zooVK8jKyqK6uprq6moA\nWlpa8Pm04PaVK1eybds2tm7dSn9/P+Xl5ezduzc22fXzn/8cnU7Hyy+/jCRJqKqKJEl85Stf4eMf\n/3gCuzi9nO3QJsKK8qxYTOmbg7YtdDr2OCeOQozxYLMO4h6YRVtHhOvmguHKh0yZfMssvIM+Wr2i\ntI1g+oj7k19UVMTevXvHfe7YsWNjttevX8/69evHtW1qaor30hlJdEXY1cXZ09ySy9MW1ITWpFgx\nyskps2O1enAPzCISgV6nkbm25I+CCqyzaBk8R3/QhXtoAIfJfuWDBIIEM3OnC9OAQHBkIiydhdav\neGPZurLVqS9SuBQmkx+zSXMXdPenJoyvYDgROMBpkQhcME0IoU0irV0eol7KdBba88ETRONcs5W8\nyxtPAUmCOVpFcHr7jaRi/sRhtGOQtB9uZ0TeA8E0IYQ2iZxpj66ygvlF6Se00WxdzT7NjWOLONCr\nyU3hOLdEE/RwRKa3L/k+a0mSyDVoCxdOuUUmL8H0IIQ2iZzp0IR2ToEtLSfCPAMujjjfxE2vtmOA\nKWXqmgiF+WAedgG3d6bGfRDNT3t+sB1fKLn9EwjGQwhtEjnTroV2LZiTvhMwoayRarV2Zl3GMjHI\nMlxzlfal09VrIBhKfpaZWQYtfldF5YTz9BWsBYLEI4Q2STgHh+gf0BYGXDsnPRPlqKrKgKwlW8mS\nc9ApqQi4gmuv1hLrKIrEmTPJLzVj12dj0WnD6OPOU0m/nkBwIUJok0TUPwtw7ez0HNF6cBGUtBFt\nnn7ytcHipbBAxmLW1vo2HpvcKrd4kCSJa7K0VWFCaAXTgRDaJHGmQ3MbmIw65uRPzxr7K9GhRieH\nJHJ1hSm7riRJlBRqAn++PYx7IPnhB9dkXQVAl68H15D7CtYCQWIRQpskTrdpI9prirOR07BGmKqq\ndHAWAIech15KjdsgyuzCIaIhZcdPhJJ+vWuHhRbgeL8Y1QpSixDaJBAKKzHXwfVzk7cAYCr0hdsJ\noC2myNNPvtLtZDGbFArztaQzJ06GCIeTOyk2y5gby08r3AeCVCOENgmc7RwgPByNf/289JwIawke\nB0BSZRy6/Glpw1VzNf9sYAhONyevrpeiKDid/Vxt1eqIHes7Tk9PjyhvI0gZQmiTwMnzmg9QkmBB\nGkYcKGqE80Gt4nC2moNOmp7yOvl5YWbladduPBZiClXNL4tnwMObLQdRw5qYD4Q8vHD816K8jSBl\nCKFNAifOaeVg5hdmp+VChc5QC0FVm4zKVpIfO3spJAluvkkLu3K5VXqSmP/Alm3j6sKrY9seQ+DS\nxgJBghFCm2AUVeXU8Ig2Xd0GrcNuAyMmbOr0Lg1etNCIzaZNFp5utSZtVAtg1VvIHfbTdgVnXrVl\nQfoSt9C2tbVRU1NDZWUlq1evZufOnZe03b9/P1VVVSxbtoz777+fxsbGMc+3tLSwbt06VqxYEX/L\n05RzXR58Q9okz8I0nAgLE6I9eAaAIq5GmubvWr1O4uYKbSTr8enp7Elu9MO87BIA+kMuPCHvFawF\ngsQQ96dsy5YtFBcXU19fT21tLa+88gq1tbUX2dXX17Nnzx527NjBm2++yapVq6ipqSEQ0H6yHThw\ngAceeIB58+ZNuRPpxLEWrUqBBNxwVe7ljaeBPl0bEbQvgjnSNdPcGo3rr9OTNTyqPXHGQjiSvGHt\nvKyS2ON3B04m7ToCwWjiEtqGhgZOnDjB9u3bsdlszJ8/n40bN1JXV3eRbV1dHevWraO8vByj0cjm\nzZuRJIn6+npAK9T47LPPxkrbzBSazmoTLPOLs8mypDY2dSJ06c4CWjlxB9MTbXAhOp3Esr/SXit/\nQEdjU/gKR0weuykbu1FzlzS5TyTtOgLBaOIS2qamJkpKSsjKyortKysro7m5Ga937M+wo0ePUlZW\nFtuWJInS0lIaGhoAuP3227nmmvQYUSWKUFjhxHltIqwszUaziqLQ6+9gUKd9EcxWrsEz6IrV7UoF\nqqri9XrxeDz4fF78Ph+Dgx48nkHy8wLYbdqvnXcagnR2ajY+nw+PxxP7U5l6e6Pug2ZPq8jmJUgJ\ncU2Ju1wu7Pax6/aj1XBdLhc2m+2ytg6HA5fLNdm2jks61ZQ/1eYmGNJiM8sXzEKvH9s2vV5GJ0no\nJrBSTJblUf+V4ccS0gSPvxDPgJsW43CpIVUiEglz0nUYW042kqy9h5KsfSFKo84/ep8kSUjS5W0u\nd55QKMjp8/1k2SP09HrQGwwM6fsJhyMoqootq5cB7wIiEYnfHwyTa/egN+jxydrij+CQH4cuhNFs\nRx5+32WdNPw38lpfuO/C7fmOuTT2vYuCQmP/Md5bsizu13MiRO/NdLpHE8lM7x8krm9Tjj1Sh0dE\nknTlD7+ahNFTOtWUP/GHFgAMepll5XMwG8e+vCaThNVqxGqdeHJts3nE/TDkN2I26+M6PkogoCeU\nrS0QyDMWUJhdjOoPIev1GIfbaTToxmxfuM9g0GEw6jBcxuZy5wnqddiybThyHAQGBpD1eiyjvpwD\nswaIqB66u7MZHDCQZZ1NTl4AR44WKeD36jErXixmEzarNoFmMRvRGfSx7fH2XbhttRTEquM2OJu4\nY/Gtcb+e8ZBO92gymOn9SwRxCW1eXh5Op3PMPrfbrWWxz82dkO3ChQsn2dTxSaea8n9saAeg9Kpc\n/N4h/N6xmal8Ph8+XxCj78oZq2RZxmw2EAiEYiuYfP4ggUAY3wSOv5BW3xkUWQvYz9PNJhgMEwxF\n0AHBoOYTvXD7wn2hUIRQMEIoHL6kzeXOEwprx0evbUD7cg6HtBFtMBQhN8+J15eF1yPR2ZWD2dqF\nI3beMLrwEIbAEF6fll7RHwiii0Ri2+PtG8+m2FTA6XAL73Q0cbazIylFG3U6Gbvdklb3aCKZ6f2D\nkZx8J20AABoXSURBVD5OlbiEdvHixbS3t+NyuWIugyNHjrBgwQIsFstFto2NjaxZswbQfIRNTU3c\nc889U270aNKlpnyPy09bj+anrlgwa9w2hcMKEVUlokxkZK8dryhKzF5RVNQJHz+WZkUrV6NT9dil\nXFRFRVW0Xxnq8Pku3L5wn6qqqOrlba50HkUldm1l2N+qRM+vgKxXWVQa4p0/GVAUmfPn8ymao6LX\nDx8fif4Nvz4RFUke2R5v33g2JcZiTntbiKgRftd6gI9c86G4X9OJki73aLKY6f1LBHE5IEpLS6mo\nqGDXrl14PB5Onz5NbW0t9913HwBVVVUcOnQIgOrqap5//nkOHz5MIBDg6aefxmQyXRRlkAx3wnTw\nzqne2OObFqTHbH6UnlAbTroBcEQKkaT09qlZbXDtddroOxQ0cPJdfcIXMmTpbbGMXr9vO0BESV6u\nBYEgbh/t7t27efzxx1mxYgVZWVlUV1dTXV0NaAsQfD5tFnflypVs27aNrVu30t/fT3l5OXv37sVo\n1PxkmzZt4q233tJGbJEIFRUVSJLE9773PZYuXZrALqaGw8NCO78wi1kO8zS3ZixN/oMASIqMQ0mv\nL4FLUTRboatjkMHBbPp6Zc61yBQkODf58llLOONpwR0c4HBvI0sKKxJ7AYFgmLiFtqioiL179477\n3LFjx8Zsr1+/nvXr149r+73vfS/eS6ctbm+Qd1u0aIr3XJ9eQtYX6qA7fA4Am8+ObJyeBDLxIklQ\nmN9HMGRkKGCi9awevcHA7KwrHztRFtoXkGvKwTnk4nfn/yCEVpA00vs3ZIbw9rvdsXjUyrLUlYSZ\nCE0BbTSrx4DVn34lzy+HLKvMnduDwaC9tmdP2/D4Epd4RifJrCy5BYCTrjO0ezoTdm6BYDRCaBPA\ngSbtA3pVUTazZ6VH2RpFUTjlPExnSAs5Kw5ejaRk3tttMEQoXRxGklQUReLYmQICgcRVrHjfnOXo\nZe2H3S/P/Dph5xUIRpN5n7w0o9vlj5WtSafRbJ+7g8OR3wOgVw34urwEg8kvhJgM7A6V62/QJquC\nIT1/asgiNMUy5Yqi0N/fx9BAgMpZSwBo6G2iqe/4lNsrEFyIENop8vqf2wDNp7i8NHUFDi+Hqqo0\nqQdjcbPXmMuwWjPLbXAhhUUKs0v8AAx69dT/bghlEmFuUaLJwA92vI1VMWNEWxjys5O/JKwkL9eC\n4C8TIbRTIBSO8PsjHQDcfH0Befb0iDZoHjpKN9oEWIG+BLtu+pJ7J5LZJQEK8jwAtLUr/OFgcEph\nX7ZsG468HPLz87kh+zpAq5L7+vk/JKK5AkEMIbRT4H+OdePxaxVcP7Ck5ArWqaE9eIZDvt8AYFBN\nlBium+YWJQ5Jguvm9ZGXo73mJ05FOHMuMcs/S0zFlFhmA/BfZ37NGffZhJxXIAAhtJNGUVT++2Ar\nAEV5VkrTIFtXb6idA57/RkVFj5GS8HXTVg8sWcgy3LzYQ26ONiF25pyN1vapRyJIksTH5t6GQTYQ\nUsL82+FaOr3dUz6vQABCaCfN28e7ae/Vltzecct85Akk1UkWiqJwznmS3w8+T4QwMjpu8C3FoKaH\nKyPRGPRw2wdNsWThTSesnGmeul91tqWIT954HxIS3rCPf31nH31+UcBRMHWE0E6CcETh+TeaASjI\nMfPeG4untT3n3Cc4qPyaMEFQYXb4Gjp7WwkOzdxcqzarzO0fNGHQK4DE628GOds6ebGNRiHMkYq4\ns+Q2AJxDLp5661sc6xMJwgVTQwjtJHjlrXN09Gki9vH3X4N+GvNxdoVa+JP6GqqkICFxrWkxxfb5\nmG3pEc+bTBwOmSU3utHrFVQVfvO7IGdbJie2o6MQIsEQN9g037Yv7GPP4X38v//f3r0HNXmlfwD/\nvm+u3AUV2FXcelkJ0gDWC4goFbdqq+iIrVYtDlqEdrdedlunWgu41nVtte50vXU6OlJXtx2sN2yt\nLiPU/iyudbVcBDGtFZCrcgkQyD3P749IagSFADFAz2eGybznHN6ch7x5eHPeN+cUpOPuvbuoqamx\nzKbGMJ3FEq2N7ta34NR35rPZkUPcMelpx53N3tLkWYYLOOIwUiKHp7B33GL2pLi7GjE+SAWxCOZk\n+386lFfbPl8v8MtdCB5eAzB2aBACBb+HgAQgAJnVF7GraD/O3DyHujo2nMDYhiVaG+gNRuw9eR06\nvQk8x2HZTJlDxmZ1Ri3+W/c1rrVkgUAQkBC/NYyCh6B3zbPwpAxwN2LmHyQQi83JtvAnNyh+lnZ7\nZjhP3gPjneQYKDVf6KzTK3FNV4ACZVFPdJv5FWGJtpNMJsKBr26gtNp8H+f8qcPh592DM5x0UqP4\nHs41/At3YB43FJEEbpUDIdR0e7GMPm3wIAFmz5TCxfn+3QilTvhPphZqdfeSrZSX4A/DIhHo5Q8A\n0JMBaaXp+FdhGjQGTbf7zfw62Jxoy8vLkZiYiNDQUERFRWHHjh2PbHvo0CHMmjULEyZMwCuvvIKC\nggJLnU6nQ3JyMiIjIxEeHo41a9b0+HpiPUVvMGL/l4X4/ob5dp+QUYPwfNjvntjzG8mAYm0hvsc5\nlHjmQAPz3Q7u/ECMcZ4IV8mAJ9aX3sxzAI/o56XwcDXfZ1teYcKJ02pU3pN064sNPMcjaHAgpvtN\ngZQ3D0v8t+p/eO/SDmT/fJmN2TIdsjnRrlq1Cr6+vsjMzERqaioyMjKQmprapl1mZib27NmD7du3\n47vvvkNkZCQSExOh0ZjPAnbu3IkbN24gLS0NZ8+eBRFhw4YN3Q6op5XXNGPbkWv4b2E1AEA2bAAS\n5wXafchAY2rBreZCfNf4FU7Vf4IrzRlogHnOW7FJAl/9CIySBEHI9b4lzR3J2ZnDeHkDfjfEfJxp\ntMB1hRsu/+CG8gpjt4YTvJ0HI4QPgJfJvIaZUt+II8XHsO+Hg6hqru6R/jP9k02fN/Pz86FQKHDo\n0CG4uLjAxcUFy5cvx6FDhxAXF2fVNi0tDTExMZDL5QCA+Ph4HDp0CJmZmZg1axaOHTuG7du3w8fH\nPBHL2rVrMXv2bNy7dw+DBw/umei6iIhw564KmdfKcDGvyjIFYvDIgUicFwiJqPtfAiAiGEgHLWmg\nIzU0phY0GZVoNNahRlcOFdqe3QuNYoianOHU5AzJAAk4D8fdu9ub8TwQ8Hs1ZDIPZF/WoUlFUDYK\nce68FgM8OIwaKYQYPNy6MNoi5IR42sUfRk8O16pzoTZqUNhwE4WXbyLAazTCfMfhKY/fWcZ1GQaw\nMdEWFhZiyJAhcHX9ZWxyzJgxuH37Npqbm62WG79+/Tpmz55t2eY4DgEBAcjPz0dAQACampoQEBBg\nqR8xYgSkUikKCgraLHdjL0SExmYdmtR61DdpUV3XgtK7Ktwsrcc95S/jbyIhj7mTn7o/XEBQGzTQ\nGDTmR6MWOqMOWqMOepMeRpMRRjJBZ9ShQdUArVEHtVGNFoMajbom3DMpYawzQA8dCB2fXfEGAVxM\n7viN21PgtUI08SpwzuyjamcM+a0A86OluHSpBsXlTtDreSgbCP+7pgfgBanEBN/bWgwYwMGglsDZ\nBXB2N0Ei5iC6fxdDeziOwzC3IfB19sb/yn9AmaYSRjLiRp0CN+rMY+dOAincRC5wl7pCYBJCyAkh\n5sUQ8SKIePO2iBNCLBBDzIsg5sUYNGAgnEXOcBZKIRU6wUkogYgXdWqF6b7KdP+9ojFqoTFooTVq\nYTAZoTfq0dTUCCEnhPD+38vbazBEQhE4cCAQdAY97tXdg96kh4GMMJIB7u4e5va8AFKBBBKhBFKB\nBGKBGLwDl3CyKdEqlUq4u1uvFtq6SKNSqbRKtO219fDwgFKphFKpBMdx8PDwsKp3d3dvs3JuR7q6\n7joRYeuha7h5p+2ZIydthmRMHjixBmIRD7GIR5Y+ExkXDNB3d2anx54Mc5CanMAZBXAXeMJd4IGG\n6npwAiF4gQDqFhUaamvBG00QiASWN2Bjfa3VdntljfW10GiaIRSKYLw/XWJ7bR63n6aGejQ3KsHz\n1OFztbefB5/f3EYIkVAIo8EIE6jD/ei0GgwQGSEUCdDUYJ6aUt3SAoGIt2y3V+bjWQufQTzU+t+g\n+A6P2jrz/jRaHsWlRqAUAMyzm32f8+AFrkEQCo2YENKEob+ldvc9nBuK54dOhcJQgis1uWjSmy+W\nqo0aqI0a3NXUPu4Ft1batogDdz/RCMBzPDhw4DgO3P06h+I48Bxn/sTXwZAM3T+tICKYYIKJTDCY\njDDQk5spTcQLLX9LjuPBcxw8pQPwqnwJBju3f8dOV/PLw7p9qbp1zKsz/3U7Gh8jIpv/e3dnKeAd\nayMfU7uky/tlfn2iMAWv4RVHd4PppWxK115eXm3OOBsaGsBxHDw9PTvV1svLC15eXiCiNvWNjY1t\n9sMwDNPX2ZRon376aVRUVFjdhpWXl4eRI0fCycmpTdsHb+cymUwoLCxESEgI/Pz84OHhYVWvUCig\n1+stF88YhmH6C5sSbUBAAIKCgvDhhx9CpVLh1q1bSE1NxZIl5o/Zs2bNwrVr1wAAixcvxqlTp5Cb\nmwuNRoO9e/dCIpEgMjISPM9j4cKF2LdvH6qqqlBfX4+dO3dixowZ8PLy6vkoGYZhHMjmMdqPPvoI\nSUlJiIiIgKurKxYvXozFixcDAEpKStDSYp5sZcqUKfjLX/6CtWvXoq6uDnK5HJ988gnEYvPcoatX\nr0ZLSwvmzZsHo9GIadOmISUlpQdDYxiG6R046u4XwhmGYZjHYnMdMAzD2BlLtAzDMHbGEi3DMIyd\nsUTLMAxjZyzRMgzD2FmfTrSffvopZDIZKioqLGVFRUWIjY3F+PHjMXPmTBw8eNCBPbSdUqnE22+/\njYiICISFhWHVqlWoqqqy1NsyH3Bv1R9ieFhFRQXeeOMNhIaGIiIiAhs2bIBKZZ734MaNG336mHzY\n1q1bIZPJLNuXLl3CSy+9hHHjxiE6OhqnT592YO+6Z9++fYiIiMDYsWOxYsUKlJeXA+iBGKmPqq6u\npsjISJLJZFReXk5ERBqNhqZOnUp79uwhtVpNBQUFFBoaShkZGQ7ubeclJiZSfHw8KZVKUiqVlJCQ\nQHFxcZb6+fPnU3JyMqlUKiopKaEZM2bQwYMHHdfhLugPMTwsOjqa3nnnHVKr1VRVVUULFiygd999\nt18ckw8qLCykiRMnkkwmIyLz+zAkJISOHz9OWq2WsrOzKTg4mK5fv+7gntru8OHD9MILL1BxcTGp\nVCrasmULbdmyhe7evdvtGPtsol29ejV9/PHHVon266+/pvDwcDKZTJZ2O3bsoPj4eEd102abNm2i\nH3/80bKdlZVFQUFBRESUl5dHgYGB1NTUZKn/7LPP6Pnnn3/i/eyq/hDDwxobG+mdd96h2tpaS9nh\nw4dp5syZdPbs2T5/TLYymUy0cOFCy/uOiGj//v00f/58q3Z//vOfKSUlxQE97J7p06e3+w/wwIED\n3Y6xTw4dfPvtt1AoFFixYoXVjGCFhYXw9/e3mgFszJgxyM/Pd0Q3uyQlJQWjRo2ybFdUVFgmQu9o\nPuC+oD/E8DA3Nzf87W9/s/r6eGVlJXx8fFBQUNDnj8lWn332GSQSCebMmWMpKywsRGBgoFW7vhhf\ndXU1ysrKoFQqMXv2bISGhmLNmjWoq6tDQUFBt2Psc4lWq9XivffeQ3JyMkQi62VcHjVfbkNDw5Ps\nYo8pKyvDP//5T/zxj38E0PF8wH1Bf4ihI/n5+Thy5Ahee+21fnNM1tTUYPfu3di0aZNV+aPmnbZ1\nXmlHq642L0V07tw5fPrpp0hPT0dVVRWSkpJ6JMZel2jT09Mhk8kQEBBg+WndPnnyJPbu3YugoCBM\nmjSpU/ujLsxxa08dxdfq1q1biI2NRUxMDGJiYh65P7JhPuDeqj/E0Orq1auIj4/HW2+99chjtLcd\nk52xbds2vPjiixgxYkSn2ve1+FqPwZUrV2LQoEHw8fHBqlWrkJmZ+cjfsSXGXrdG9dy5czF37tx2\n637++Wd88MEHOHXqVLv1np6eKCkpsSpTKpWWM6be4HHxtcrLy0NCQgJeffVVrFy50lJuy3zAvVV/\niOFRsrKysG7dOiQnJ1te475wTHbk0qVL+OGHH7BlyxYA1hP4e3p6tnk9lUpln5uFb9Ag8woLbm5u\nlrIhQ4aY1/YzGLodY687o32cM2fOQKVSYe7cuQgLC0NYWBgAYP78+Thw4ADkcjmKioqsln/Oz89H\nUFCQo7pss+LiYiQmJmL9+vVWSRawbT7g3qo/xNCea9euYf369di1a5fVP9L+cEymp6ejrq4Ozz77\nLMLCwrBgwQIQESZNmoTRo0fj+vXrVu3z8/MRHBzsoN52ja+vL1xdXXHjxg1LWVlZGUQiESIjI7sf\nYxcv0DmESqWiqqoqqx9/f3/Kzc0llUpFWq2WoqKiaNeuXaRWqyknJ4cmTJhAFy5ccHTXO2358uW0\nc+fOR9YvWrSI3n33XWpqaqKffvqJpk+fTv/+97+fYA+7rz/E8CCDwUAvvPACpaWltanrD8dkY2Oj\n1XsuJyeH/P39qbq6mioqKmjcuHF09OhR0mq19M0331BISAgpFApHd9tmf//73+m5556jkpISqqmp\noZdffpk2btxItbW13Y6xTyXa9jx4excR0Y8//kiLFy8muVxO06ZNo88//9yBvbNNZWUlyWQyksvl\nJJfLKSgoyPJ45coVIiKqqqqilStXUnBwME2ePJl2797t4F7brj/E8KArV66QTCazer1aHysqKvr0\nMdmesrIyy+1dROb4582bR3K5nGbNmtVn7xHWarW0efNmmjhxIj3zzDO0YcMGamlpIaLux8jmo2UY\nhrGzPjVGyzAM0xexRMswDGNnLNEyDMPYGUu0DMMwdsYSLcMwjJ2xRMswDGNnLNEyDMPYGUu0DMMw\ndsYSLcMwjJ2xRMswDhYbG4sNGzY4uhuMHbFEy3RZbGwsZDIZzp492279zp07IZPJsHv37ifcM2vf\nf/89ZDIZgoKCEBwcbPlp3VYoFJa2RUVFWLduHaZOnYqQkBBERERg5cqV+Pbbb9vst7Nti4qKkJCQ\ngEmTJiE0NBRxcXEoKCiwe9xM78ESLdMtPj4+OHr0aJtyk8mEkydPWpbhcTSO45Ceno7c3FzLT15e\nHnJzczF69GgAwPnz57Fw4UJ4e3vj6NGjyMnJwYkTJ/DMM8/g9ddfx+HDhy3762zb2tpaxMXFYfjw\n4cjMzERmZiZ8fX2RkJAAtVrtkL8F8+SxRMt0S2RkJC5fvoy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"text": [
"<matplotlib.figure.Figure at 0x2af25a1658d0>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<b>Plots to investigate a specific feature</b>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_dist_comparison(features_class,features_base,labels,sort_mean_diff[5])"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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I5TLkcvF5HQ6+38cXVyAdysBw/FDzRIejurpat99+u5YuXaqlS5fG9Vq/333S5012Xm+W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\nJCEVQgghhBBp9f8BQJzozWtRXC8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af25a07f810>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Average signal window"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print index_labels[sort_mean_diff[:10]]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[['Mean', [57]] ['Mean', [66]] ['Mean', [46]] ['Mean', [47]] ['Mean', [37]]\n",
" ['FFT', [46, 0]] ['Mean', [77]] ['FFT', [57, 0]] ['Mean', [56]]\n",
" ['FFT', [66, 0]]]\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ch = index_labels[sort_mean_diff[:10]][0][1][0]\n",
"plot.plot_channel_avg(X_RF_cropped,ch,'Maximizing input windows')\n",
"plot.plot_channel_avg(X_baseline,ch,'Baseline input windows')"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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Bx6oLHWRJoKQwM9HNICKiNOR0+bF2Rz1UVQPQOZPodPkT3LLEsVpkVI9zhKfm\nZUlg8jgHrGbjBnShUe6uQqPcFB+O6EL/cJ05aQSy7ca9iyQiosFzqNEFVdUgROQ0vdFnEscW52B0\nUTZgkpmPCo5yDwbDB7rXXFCJHIts+FwpIiIaPKWOTEiSgNZlsI4ziTqrRUZ+fiaam10IBtVENyeh\nQqPcn9U2AdDfIxPLCgw9yt1fho/uqssL+eEi6iMuqCHqm5xMC2ZNLsb6nUcAcCaResZR7oHFKxQR\n9QkX1BDFZ1Z1MaZVDIPTr3AmkU6Io9wDh4vRiKjXuKCGqH9ysiyoLi9EThZHcomGAgNdIuq10IKa\nrkILaoiIiJINA10i6rXQgpquuKCGiIiSFQNdIuq10IKarnUvz5pczAU1RESUlJgJT3QSrDAQiQtq\niIgoVfAKRXQCrDAQW06WBWO4IpiIiJIcUxeIesAKA0RERKmNgS5RD1hhgIiIKLUx0CXqASsMEBER\npTYGukQ9YIUBIiKi1Jbyi9EOHTqEu+++G59++ikyMzMxb9483HbbbYluFqUJVhggIiJKXSl/1f7J\nT36C6upqfPDBB2hsbMQPfvADFBYW4vrrr0900yhNsMIAUXxYmo+IEi2lzzzbt2/HF198geXLlyMz\nMxOZmZn43ve+h+XLlzPQJSJKIJbmI6JkkNI5up999hlKS0uRlZUVfmzixInYt28fXC6ujCciSgSW\n5iOiZJHSI7otLS3IycmJeCwvLy/8vczM3q2Ol+WUjvcHVKgv2Ced2CfR2CfR2CedGprd0DRAdBQt\nEQJQNeBoiwcFuRmJbVyC8X0SjX0SjX0SqT/9kNKBbiyapo8gCCFO8sxOOTm2wWpOymKfRGOfRGOf\nRGOfABNNMt7ccCA8omuSZciywMTxw5CbZU1w65ID3yfR2CfR2Cf9l9KBbkFBAZqbmyMea21thRAC\n+fn5vT6O0+mBonCREaDfNeXk2NgnXbBPorFPorFPIp0+cTjWbT8CIQQ0TcNpVUVQA0E0NwcT3bSE\n4vskGvskGvskUqg/4pHSge7kyZNx+PBhtLS0hFMWtm3bhvLycthsve8QRVG5mr4b9kk09kk09kk0\n9onuzIkjMHVcYURpPvZLJ75PorFPorFP+i+lkz+qqqowZcoUPProo2hvb8eePXvw3HPP4Zprrkl0\n04iIDC8ny4Lq8kLkZHGTFSJKjJQOdAHgiSeeQENDA2bPno3vfve7uPTSS3H11Vcnulkpy9nux/Yv\nj8HZztVN9jLGAAAgAElEQVTR1DO+T4iIKBWkdOoCABQVFeGpp55KdDPSAuteUm/wfUJERKki5Ud0\n+4ujUjrWvewZRy878X1CRESpJOVHdPvrL+98zlEpAIcaXVBVLaIsm6JqqG90ISfTuPl1HL2MxPcJ\nERGlEsOP6AIclQKAUkcmJCmy9rAsCZQU9m7TjXTE0ctofJ8Q9Q9niKKxT+hkQu+ReBh+RDfE6KNS\nOZkWzJpcjPU7jwDQg5czJ41Att2Y/QFw9DIWvk+oL5ztfhxsdCPHaoI9g5cbzhBFY5/Exs9Op67v\nkfvHD+vzzxu797rgqBQwq7oY0yqGRdS9NLLQ6GXHZnsA+D4B+D6h3mEAEyk0Q6RpgCx1zhBVj3MY\n9saZfRIbPzudur9H4sHUBejBy1mTizkqBda97Co0eil3TNXzfdKJ75NonH7txLSfaKEZoq5CM0RG\nxT6Jxs9OpFjvkb4y/FDMNRdUclSKesTRS+qNtdvrsXrbYfiDKiwmCXOmlBh2BAZg2k8snCGKxj6J\nxs9OpFjvkb4y/IguR6XoZDh6SSfidPnx1ob9qDvajqNNHtQdbcdbG/YbdgQG4KLFWEIzRJqqod3j\nh6Zqhp8h4qxZNH52InV/j8SDw1NERP2w+2ArWtp9gAZAANCAlnYfvjzYiumn9H3hRDrgosUTEB3/\nif+6nVY4axaJn51oXd8j8TD2O4qIqJ80EXtOTRg8kGEAEymUeymEQJbNhEBQ4cKrDjlZFozJz0Rz\nswvBoJro5iQcPzvRQu+ReBg+dYGIqD8mlOYhN8sSzqkTQiAvy4LxI3MT3LLEY9pPJy68or7gZ2fg\n8DaBiKgfcjItmH9GGVZvPYyAosIsS5gztcTQU40UjQuviBKDgS7RSbBwN50MpxrpZJh7SZQYPBsT\nnQALd1NvMc+QToY3RERDjzm6RD1g4W4iGmjMvSQaWgx0iXrAxSNERESpjfMmRD3g4hEiGmjM+Sca\nWvyUEfWAi0eIaCAx558oPseaPdi2rwnnTB/V559loEsRONoQiYtHiGgghHL+NQ2Qpc6cf24YQXRi\nr63ei3U7j0BAMNCNy7FjMK3dCM0xDMrIUUBWdqJblDAcbYiNq+mJqL9COf+iy5Z5oZx/BrpEsR1r\n8WDdjiPQNA1Cim+7SQa6Xi9ESwvk1jbIuz4DLFaoufnQhhVCKR0FZBojH5OjDUREg4c5/0R99+Xh\nVqiahv7sqM5AN0SWAZt+wpHa24CWZsg7dwK2DKi5eVALh0EdOQqw2RLc0MHB0QYiosHDnH+ivhtf\nkgtJCGiahoi7xD5goNsTk0n/A0ByOiE1NQE7tgE2O9S8PKjDi6CWjgSs1gQ3dGBwtIGIaHAx55+o\nb4ZZgW/muvDlJ7uR7WwC8I0+H4Ofst7qGvi2tkI6fhzY9ik0mx1afj7UomKoxcWAJTXvzjnaQEQ0\n+JjzT3QCigJxtAHyoYMQjY0QHjfGtLjglBVocd4YMtCNl9kMmM0QAERzM6SGBuCTLdAys6Dl50Mp\nGgFtRLH+vBTB0QYiIiIaSqLNCWl/LaSmJoiWFgAaYM0AALiFGTsPOSFJAhnW+OIpw0cyNfsa4fAE\nYc3u58ilxQLAAqGqEI2NkA4fBjQVWlY2tNxcKKUjoQ0bHh4VTlYcbSAiIqJBEwhAOnwYUv0hSM3N\ngM8DWG2AJEWlgza2+aB1Wz/UV8kddQ2B1z7ag9K9+zFhXBGqygoG7sAd/7NEMKgHvocOAdCgZedA\nzcuHWjoSWmGhvgiOiIjIoFi/Pc1pmj7zfWA/pKZGiLY2Pai1WPS/bT2vBXJkW/WyYvGtQwPAQBeA\nvpCv5kAzxozIhj1jkFINMvRheBEIQD7aAPlALSBJeuCbXwB15ChoBQX6/3QiIiIDYP322FI++Pd6\nIdUdgHS0AVJzExAMAhk2QIhwPNQb9gwzJo7Ox64DzXE3JQV7b3CoqobmNt/gBbpdCQHY7PqXfj/k\nI/WQ9+8DhAQtpyPwHTUaWn6+/lwiIqI0w/rtsaVk8K+q+iKyg3UQTU0QrnbAYtXTNc0W/U+cqsoK\nMK4kFx5nW1w/z0C3gyQJFOQkqFSYEPqdDgDh80GuPwx535eAbIaW2yXwzc1j4EtERGmB9dujpVTw\n394G+cB+SMePQbQ6AVUJxzKwD2xpUrvNhOH2nLh+loEuAEkAp4zOhy3OFX0DTohwzorweCG7DsK0\nZzc0kxlqbh40h0NPdcjOYeA72DQN8PuBNhVocwEq9LxqIfQ0k9Af/n8gIuoT1m+PltTBfzAIcfgQ\n5PrD+iIyj1sPbEP5tknK8IHuJeeMh8PRBmu2PdFN6ZkkQQvt2uZ2A+3tMH2+C5rVGg58lZGjgays\nBDc0RSgK4PNB+LyAywXJ1Q54fRABv/54MAj4/RABP0QgoKdN260wt3shqV3OyB0nIgEBLRz4CkB0\n/C1J0ESXQDgcGAto6HyO/v2Ox0XX4Bn63yaT/rjJBM1k0gNtWQZMZsAkh58f8bMMwokoybF+e7Sk\nCv41DaKlGdKBA/oiMqezM6gVYsBHbU/E7Qmi0enEmDh+1vCBblVZAdr3mKAkuiF9IUnQ7KHtituB\n1lbINZ8BVivU3Hxowwr1wNeexMH7QOoYdRV+H+D2QLS3QbhdQCDYEaz6AX8Awu8HAgF9ekVR9UDS\nZNZziGItApRN0GQTIAsgMwPQZECJXvrZ42JQDRCaCqjRZdr6FHqqqv47alrk15oKqBpERwu0ritT\nhdTRAKG/2kAG4UJAtsiAIxcoLAEkw59GiPomzq1M0xHrt0cKBf+rtx5Gu8cPiyzhrKklQxf8+3z6\nIrKGBkitzRB+H7RQ6a8+LCIbSDW1Tag50AxrwMdA17BkOXxnJbW3AS3NkHfuAGw2qLl5UIcNhzpy\nVMLepHEJjar6vEBbGySPWx919fsBvw8iENC/H9SDWU1VIQBokqwHrqH0gq6ESOrplR6dpBJHXJfM\nfgbhXr+Cph1+2IUKc2kxlImT9BxyIooWDELUH4Z8pB4mZwsga5BhAjLs+gLk4SOg5eam1AZDA4n1\n22MQHf8Z7Ak5VYU4flwv/dXcBNHerl8nTSZ9sMeW2DDR7Q3gswPNiSsvFgwGYUryDRAMqet2xU4n\npKYmYPtWwJ4JNS8P6vAiqCWlUYWZB1XXUVeXC8LlgnC79IA1ENAf9wcgggHAHwCUYMeoh+j8fWKO\nusrQZD35nWMkQyN0dy1JElRVRdVxL6oajkDLzUewvBzaqNFMlyAAaVAiKV6qCtHUBOlgnR48OJ36\nZ8JqhZD18kpSuxdaayvQ3Az5i88BCMCWATUzC1pWNtRhw6AVOACbLdG/DQ2h0GI0IQSybCYEgsrA\nL0ZzuSDX7Yd07ChES2u3RWTJNROckA0jVFXFsmXL8Nprr+H48ePYtm0bPB4PHnzwQfziF7+A2aB3\npEmta+Db0gLp6FHg00+gZWZCy8uDWlQMtbi476OdwaCe0+r1Aq52Pdc1lCIQGnUNBPTUgUBAP/mj\ny6hrzJskEd5lLlm4PUEcd7bCbpZhtRh7g4/ud9eaBtTUtWBMcQ7sfh/MWz8BPtsJZdQoKBMqDTtC\nRSlaIqk/QivQmxr1bUx7WzdUksLlJgFAcrk6ApED+g2/2azvsJmZCTUvH1pREbTMLNZcT1ODshgt\nGIQ4Ug/58CF94Mvj0Qe6ZDnpZzkTsmHE0qVLsXLlSnz3u9/F448/DgBwu9345JNP8Pjjj+P//b//\nF39r+mju3Lk4evQoZFmGpulvjFmzZuG//uu/hqwNKcliASwWiNBuJQ0NwCdboGVmQXIUAJXlEK4A\npJZWCI+nY5TV35EuEIAI6KOv+rS3CmgnG3XVp0CA1Bt1jRq9HJ0/sDvopZjQ3TWAjilGDZqGzhrU\nFn2WQK6thbx3D9SiEQhWTQSy4ysLQ6kppUokxcvng3ToYEdB/G7bmJ6gbmivb5y73PALrxfC64XU\n0ACxYxs0IUHLytIHK9Ig9cGwI/8xDNRiNNHaAml/x42Xs1W/+GZkdCwiS65R2xNJyIYRr7/+On7/\n+99j4sSJeOKJJwAADocD//mf/4nrrrtuSANdAHjuuecwc+bMIX3NtNNxQhWqCqmpEdjcBFObB0Iy\nxd6iWETvR52OYo5eDvYOeknOkW1FUFHh8QchIEGDCpvFFF2D2mQCYILU1ATL+/+Clp+H4PgJ0EpK\nmdZgAEldIileiqIXxD90EKKlRd/G1GzW/5xkG9OQft84hyqvoGN7+YjUB+jrMlIs9WHt9np8tPUw\nAooKsyzh7Kkl6T3yfxJxV6Lw+/VUmSP1kFqaIfx+aNYM/b1pTaH1OTEM+YYRTU1NmDhxYtTjY8aM\nQWtra1yN6A+Nq1cHntUKBLSYFQaMJDR6qWkaAooCWQgIIYZuB70kZDZJyLKb4fXrdUoEBLLsZpjk\nHqZRhQBsNgivD+aPNwM7tkEZUwZl/IQeUlcoHSRViaR4hUor1dXpo2JtTv1uNxQ09HFUbNBunHtK\nfTiwX8+9TOLUB6fLjzc31KK1PaCntQF4a0Nteo38x6FXlShCeeChRWRtbR27kJmTYhHZ4IgvJulz\nT5SUlKCmpgZVVVURQea6deswbNiwuBrRH8uXL8fPf/5zNDY2Yvbs2fjNb36DggLjTi3TwHFkW+Hx\nBeHyBsOPZWbEGL00EJcviMIcG/KyrAgqGkyygEmS4PYFkWs6Sf5yR4Ag79kDefduqMXFCFZOZP3n\nNJSy9VHdbsh1+/VV6M1NEMEAtAx7R8WW/n3uYy2qGdSt57vMuvUq9SEvb8hvPr841ILWdr8evwgB\naBpa2v348lALpk8YPqRtSTYxK1GE3p9Hj0JqbdFrwlszwgMK6aqmtgk7apsgedz4fhw/3+d39YIF\nC/DjH/8YN9xwAzRNw7vvvosdO3bgr3/9K773ve/F0YT4TZo0CdXV1XjooYfgdDpx++2349Zbb8UL\nL7zQ62PU7GuEwxOENTvJT8CUELHuH408iZBpNeklertUAJIkwG7tw6kktDDy+HFY/vUu1IICKBNO\ngTbCuNOV6WhWdTHKS3Oxt6EN44qyMaIgCfMCAwFIhw9DaqiH1NwEuLss0jFboPWQZxuPWItqhnzr\n+b6mPjgKB7UspdBipzGJQa+plSIUBeLQIZgOHIBoaoLwuPXcb5OpIw880Q0cfG5vAJs/Pwq3N4iM\ngD+uY/Q50P3hD38Iv9+PJUuWIBAI4Kc//SkKCwtx0003DXigu2rVKtx+++0Rd8ChRWf3338/li5d\nGn7cZrPhV7/6FebPn4+6ujqMGjWqV6/x2kd7MHLvfkyoGIFJBl5kFCJJIuJvI2tp9yEzwwybRYaq\naZCEgCRJaHX5kW3QaTW5Y1HhlwdbgY7JxqqyfGT0JdANE0CWHbLfC9PHG4EMG5SysdDGV8TODU9y\nckf6htxTGofBrN52GGu31UOSJKzbehizphRjzpSSxDZKVSGOHYN0sA5obobU5uxceS5LQPbgpVZk\nZ1owaWwBdtXqi2pkSaCyLB9ZiR7llmXA3Pl7y1434HUDhw4AigrNbIaWnQVkZkHNz4dWNALIzByQ\n1IeqMfnIz7Kipd0HQB+YzMu24pSyfJhMafY50jS9+lCoEpHbA7jdkHwefXF3oKOsZiAIBPyQVRUQ\nCiweH1SzVd+4KCuFUn8GyJFmF9xdZlXj0eerkxACP/3pT/GTn/wETU1NsFqtyBqkqccFCxZgwYIF\nvX7+yJEjAQBHjx7tdaALAEJI+KKuBZPKC5FlM2YA053dbtzp+ZBRsoQtnx+DqnWecCUJGFWci0yb\nAW6lY2j3+NHQ5EGWzQJvIIgMsxkNzR5Alvr32cnqGDU6vF//U1oKVFen1OrgkJyc9J1C7K2WNi82\nfnYUUkcwJEkSNtUcxdnTRyEvewgXxmga4HQC+/YBjY1AS8d0r80GZMhARv7QtQXA6ZNLMKm8EMdb\nvCjMy0ju601Wt/9PvnbgYAuw93M9OM7MBLKzgZwcoKQEiCP1IT8/E1eefwreXLMPrS4/cjMtmD97\nLMaUDu3/lz5RFD0o9etbxsPlAtxu/euOQBbBYOfXoX8Hg527WgJdtnI3RS7QlQBYZQAyADPsqbTR\n0yCwWS2hMRUo6iDm6G7evLnXBzz11FPjakhfHT58GE899VRE7d4vv/wSQog+BbkAoGgqlICKg/VO\njBxu7HxBSRKw261wu31Q43xTpZMJo/P0EZiO/LEJo/KhKQra21Nq0+gBU9fQhpZ2X/gOux0B2DNM\nA//Z+bIW2LkLWuFwPa2hqGjgjj1IZFlCTo4NTqcHimLs3Z1qapvg8wchBGCSZQQVBYEgULPnOCrH\nDHIQ4/VC1B3Qi+E3NeulETOsXUYgBdDuHdw2nIAkCZQV58Dt9qE9ge2InwSoGtDSrv9RDwFbPgUA\naDYbtKyO0d/hw3uV+tDu0kdzbR2zQu0uH5qbXYP7K2ha5+6bwYA+uupy9Ti6KhSl82tNL6mpaao+\n23yi0poROrZjDwkCCCqAL/a1hNdiXUGWFWZJgssXgBjMQPc73/kOhBDhxWehVILu/waAmpqauBrS\nVw6HAx988AFMJhMWLVoEp9OJBx54AHPnzsXw4X1MYtc6pkyyLFAMXmkgRFU19gWAylH5GFuUA3dQ\nhd0kwWqRDd0vVrOsB7kdm9ZBA9zeIKwmaYD7RQAWG+Bsg1izGrBnQhk7Duq48qRYLX4iiqIafhvT\nonx76N4QgP63JICifNvA9014e90jEM1NEK52wGKFZjJBEx2llTQkXRWZ9DnHCsDSEcwqGtDaBrS2\nQeyrhYhV9WHECGh2PfXB6fJj9dbDEALIspkRCCpYs/UwJo0p6F3VhY7RVREMAF4f4HZB8nr0r4NB\n/fFAoCNQ7XheMAgRDOrvTU2vBQ5JD1a1WFvHI5RWLQBzDzOdg/j+Sp/3SXwUVYXZLMESlGFS4kup\n7FWg+9Zbb4W/3rVrF5599llcf/31qKiogKqq2LVrF5YvX45bb701rkbEw2q14plnnsEDDzyAs88+\nG0IIfP3rX8edd97Z52NJAjhldD5sVmNOR9OJ2W0mDM/KQHu719AnHABw+xXYM2S4vR2jEAKwZ8jw\n+AdxhDvDBqGqMNV8BnxeA6VkJJSqiYO6SIb6Z1CrLoTKKtUdgNTcrJf96theFwBgN14eY1LqqerD\n9q3QZBO0zEy0uTQMP9iKthwHYLdD9vlg8nvR/OlO5OebgUCXYDU0/d/1a0WfWRKaBk0IfWOiE46u\nCsBkhmbitT5VNLb5YLeakGGWYfLFd5Pcq0B33Lhx4a8XL16Mhx9+GGVlZeHHKisrMXnyZCxevBjn\nnHNOXA2JR0VFBZ555pl+HeOSc8bD4WiDNTv1cgFpaHAL4E6ObCsybRaYJQUBVYVZkmC1ykOzcrxj\nq0r5SD3kA7VQhw2HMqESWmHh4L829VmvaoH2VtftdZtb9PqwobJKvOFJHd2qPhRpATia6zHsSC00\nRYUkCUgmE0aOcEFuy+h5cxlJitg5ztjDD+ktVK1EFgJWS3znkD7/1O7du1FaWhr1+OjRo7Fnz564\nGpFIVWUFaN9jgjEzLulkuAVwJHuGGXl2C3a3tIbTFyryc4d2NkSSgAwbpLY2SOs+gpaZDWVcOdQx\nZUmf1mA0MWuB9obPp+/ydOxo9Pa6liRewEV9Ys8wIy8zA7tbfYAm6ecTRxZsmVzQSbrQFsA7a5vg\n9cdXfSGuDSOeeeYZ/OAHP4DcUQJIVVU8//zzKC5mHUxKH9wCOJrbG0CL2w9HthWKple8aXX74fYG\nEtMnVhtEMAjTzu1AzU4oI0dDOaXSEFtUp5Wu2+s2N+t5tqF6ob3cXjdVcIaoU+h8UpBlhQYNAiKx\n5xNKcoOYo9vVwoULceutt+LZZ5/FiBEjIIRAfX092tra8Mgjj8TViETihhHUkyHfySgFhPpEpw/p\nJkWfdBT2lw8dhLxvD9ThRVAqq6DlG3f0Pal1317X2bF9fGh7XVt6ppJxhihS6HwiyxJkWYKiqMlx\nPkkCvCHShQachBDIiLMf+hzonnfeeXjvvffw9ttvo76+Hn6/H+effz7OPfdcnHLKKXE1IpFe+2gP\nSvfux4RxRYY+4VC0pNjJKMkk/bbIobQGpxPS/34ILTcPythyqGPG9JzvR0PD5YJ88IC+vW5Ls17C\nKcPWsZAs/fNsOUMUjefY2HhD1CnWgFNfxZXZW1JSghtuuCHuF002POFQLKHcoF0H9J2MJAFUsjpH\n6myLbLND+P0wbfsEqNkBZdRoKKdUAWZj//8bEl4vRGsrpJZGAAGY6uohtbk6t9c1mfU/BsIZomg8\nx0bjDVGk0M2QqqhDl6N73XXXnfD7y5cvj6shiWb0Ew7FVlVWgBGOTBxpcWNEnh352cYeaeha6iWU\nUydJIrk/Ox2jhfKBA5D3dqQ1TJwELSc3wQ1LcaoKuN0QTY2QWlog3C4IlxvC49JLPwkJss0K5Nj1\nzLoU3OVuIHH0MraqsgKMK8mNqFVuZLwhihReAH24FRl+f1zH6HOgW9itlI+iKNi3bx+OHTuG+fPn\nx9WIZMATDsXSdQqpZl+ToaeQgMhSL6GcOiGQGp+dji03pZYWSB/8C1pePoLl46GNHMW0hhMJBiHa\n2yCOHYNwOiE8bkhulz5qqwShmSyRlRDMlnDONCT2awhHL3vGWuWdeEMUqeuCxUGto9vVY489FvPx\nF198ES0tLXE1ItG4YQTFwimkaGlxsRZCT2vw+WD+9P+AnTugjBkDZfwEY6c1hNINGo9BuFwQbjeE\n2w34vAA0fVcoU5dLhjWD9Uv7iKOXdDJpcY4dQF0XLA5ZHd2eXHnllfja176GW265ZaAOOSS4YUQk\nrvTsxCmk2NLqYm3RR0nkvXsh794NtbgYwcqJQHZ2ghs2SDStM92go4yX8HggPG7A7weEpOfRhuoR\nS1LaVkBIFI5e0smk1Tm2n0Ij3H6fgoB3iFIXenLkyBG43e6BOtyQ4YYRnbjSMxKnkHqWdhdrk751\nqNTYCMv770IrKEBw/ARoxSWpmdYQDOpB7LFjEK2tEB59dFZ4vYAaBGSzPnod+t0MuDiMKOkl5Srf\noWXPMAOqhuNODyxDlaO7aNGiqMe8Xi8+/vhjzJgxI65GUOJxmj4ap5AMKJTW4PHCvHkjtAwb1LKx\nUMrHR07bJwufD8LphHT8KES7S18Q5nYDfh+gqTHSDawAeKNGlMw46NSpsdWDhmZPv2L+Pp+5jx49\nGvVYRkYGLrnkEvzgBz+IvyWUUJymj41TSAaWYYMAIH+5G/IXn+tpDVWTgMwh3qUrlG7Q3ASpqakj\nmPVAuNv16gYQ0ekGGdxClSgVhQadVEWFP6hAFsLQg05fHmpFUO1YhBbn5FqfA90///nPMMdYsBEM\nBtHQ0BBfKyjhutaqCyhKeFU9p+nTcJqe+qZjRFQ6dgyWg/+E6iiEMuEUaEUjBvZ1FEWvbnD8eGe6\ngcsF4fEAqqKnFnRNN+ha3YBSBtdB0Ik0tvng8gTg7rIpjz3DZNhBpyy7GQIdk81xXn77HOjOnDkT\nW7dujXrc6/Xi0ksvxaZNm+JrSYJwC2Bd11p1HTu7oqIkl9P0RCEdC7MktxvShnXQbHaoY8dCGTde\nL13WW6F0g8ZjEG3t4fxZeD0QmgbN0i3dICP9dw0zCk5J08nYLTLc3iA0TQtdiuH2BmEz6E3R2BE5\nMMkS/EE17iovvQ50169fj/Xr1yMYDMYsMXbgwAEEg/HtWpFI3AJY17VWXWgjgFa3H25vwJB3kUQn\nlGGD0DTIn38O+fNdUIpLgSnVQH5HWkMo3aClGVJjY2e6gcfVUd2gY9vbULpBR24w5wvSF9dBUG+4\n/QpkGfD6tPC1OMMq4PEbd8l8ps0MzeWDLMX3870OdC0WC2pra6EoCv7xj39Efd9ut+O2226LrxUJ\n5PIEEAyqhj/hdK1VF9oIgDm6ukBQRbPTC6gqpFRcgU+DpyONSz7aAPmfB4BRJTA1tUFqdwFKEJBN\n+mYKrG5geFwHQb1ht8hQFOhBnZAATYOiADarMUd0Q7txmiUJkje+oYBeB7ozZszAjBkzcMUVV+Dv\nf/97XC+WjI63epHf5odFkwx9wmEprdgamtw4cLQNZrMJgUAQo4dno6iAdUWpm1C9Wa8XQlVY3YCi\n8BxLveH2K7BnmDpzdIWAPcMEj8+YI7qObCvcviDc3iAyAvFlDfRqIDgQCIS/fvHFF+H3+3v8k5I0\nwO1VDHvHBHSW0grt2CkJoMrgpbQCQQW1DU6oHXVNVE3D/gYnAkFjnnCIKH48x1JvOLKtyLSZ4cix\nIi/bCkeOFVk2s6FviPo7j9qrEd2uC9CmTJkSMfXSXU1NTT+blAAChr5jCmEprUguXxCaqs8ehagq\n4PYFkWsydt8QUd9VlRVghCMTR1o8GJFnQ362cYMXiq1r/XazJEFTVUPXb29s88FmNSHDIg9u6sLd\nd98d/vq+++47YaCbagpzbShoswBWY98xhbCUVqdMqykiyAX0GWq7NQk3DqCEY9koOpmuVRdq9jWy\n6gLF1HlD5MaIPLuhb4hCKT9CE8iI87zaqyv2xRdfHP76sssui+uFklWmzQSTLKHCwHdMFJvZJKOs\nKAd7Dregpc0Li0mgvCQPZo7mUjcsG0Unw6oLPeNNYqTIG6ImQ59Puu9QGo9eBbqxtv3tyaOPPhp3\nYxLhknPGw+FogzWbC4woWpPTi/pGfftBIYD8rAwuRqMIDGCoN1h1ITbeJEbi+SRaKK3S42yL6+d7\nFejG2vY3bfRnA2VKa+ETDgCTSS+5ZvQTDkVjAEO9waoL0RjUReP5JDa7zYTh9py4frZXge4LL7wQ\n18FTATeMoJ7whEO9we2zqTe6T8FKAoZeZATwHBtL6HyiBPXziQQBk4nnk/6Ia1XNgQMH8O677+LI\nkSMQQqC0tBTnn38+SkpKBrp9Q4J3kZ2YK9WJIzDUG9w+u2c8n0RiZZtIPMdG4/lk4PU50H3rrbew\naPRWVqsAACAASURBVNEiZGdno7i4GJqmob6+Hg8//DCWLFmCc889dzDaOeiMfhcJ6LlSO2qboKgq\nZEnC5LICQ49ycwSGeiO0fXauzYKAqsIsSdw+G8y97Akr23TiOTZa6HySl2mBP6jCYuL5pL/6HOg+\n8sgjWLhwIW644QbIsn43qigKnnrqKdx3330pF+i6PAGoqgrJbOy7SLc3gM2fH4XLEwzvr73l86OG\nH+XmCAydTGObDy6PH25vZx1uuyob+sY5lHupKir8QT2dg7NmOo5yR+I5NpJ+PgmEd0ZzQ6/zb+Tz\nSX/1OdBtbGzE9ddfHw5yAUCWZdxwww34wx/+MKCNGwqhLYDH5ucY+i7ycKMLbe4AFFUNP+Z0a6hv\ndKG8NC+BLUs8jsBE48W6k90i60FuxzQjd1qMvlgDvFgDHOXuCc+xnfTzSbDb+SQIm8HPs/3R50C3\nvLwc9fX1GDNmTMTjR44cQUVFxYA1bKgMy81AvtNi+KkBn1/Rg9wuHy5FVeEPGHu3OIrGi3Wk6L3p\nudMiL9bRWGGAekM/n8j67Kqmf3wyM0zw+I17PumvPge6t9xyC+644w5cd911KC8vh6IoqK2txQsv\nvIDvf//72LdvX/i5Y8eOHdDGDga7zQxZlhA0eI6u1SLDJEkIhkZ0BWCSJFjN3AWMo5edeLGOFtqb\n3maRoWiALGD4qguhi7Xbo0DVNEgQsGfIhr5Ys8IA9YYj2wo9vO24Q4SAgLFTKwH9OtzodGLMyZ8a\npc9RzM033wwA+PTTT8MfWK2jFu2nn34a/rcQAjU1NXE0aWi5PAEoCnN0SxyZyLKb4fYEoUK/MGXa\nTCguNPbmCBy9jMSLdTTuTR/NkW2FgIAKFej4W8Bk6HMsKwz0jIMJkQT0DYoEOs+zRi75H7oOWwO+\noQl0ly9fHsfLJK/jrV7kt/sxtsDYObr2DDNOPWU4dnapujCprMDQfcLRy2i8WMfGBTXRNACSkDr+\nFRoUSVhzEo4VBmLjYEKkxjYfbFYTMrrMEAkhDDuY0P06HI8+B7qnnXZa/K+WhApzbShoY44uwIt1\ndxy9jMaLdc+4oKZTY5sPdqsJGWY5XMVFkox7sQ7hOTYSBxOihQYThCZglvUdOYWAYQcTYl2H+6rP\nge7Ro0fx7LPPYs+ePfB6vVHfT7UR30ybCZLEHN0QXqw7cfQytqqyAuRlWbCvoR1ji7JQXJiV6CZR\nkgl9dkK7xBn9Yh3FyEPbXXAwIVpoMOGz2iZ4/QGYJQlVY4w7uxrrOtxXfQ50Fy1ahP3792P69Olw\nOBzxv3KSYQBD3XH0Mrb3t9SFd+3Ztuc4Kkpyce7MUYluFiURfnZi4zR9JA4m9EzPbtf/NrLu55J4\n9DnQ3bFjB/71r3+lV5ArgFN4EqYYONUYqbHVg92HOremhArsPtSKr1QUwpFrS3TzEooLaiLxsxOJ\n0/TReEMULfQ+kYSA2WKGoqiGf5+EziUeZ1tcP9/nQHfUqFEwm9Onsy85ZzwcjjZYs41dXYBOglON\nAID9R9vDtR1DNA2oO9pu6ECXI3WxMRWqU2iaXlU1BBQFEvOWAfCGqDumc8Rmt5kw3J4T189KJ39K\npLvuugt33XUXNm/ejIMHD+Lw4cMRfwbD9u3bcf755+Oqq66K+t769evxrW99CzNmzMBFF12EN954\no28HZwBDJ1BT24Q3N9Tifz85hDc31KKmtinRTUqoMcOzIASgQYOqafpCIwGMLjJunm5oBEbrNlLn\n9gYS2zBKKo5sK9y+IJrafGhp86OpzQePL8hp+hBeiwF0SefowujpHJqqor32YNw/3+cR3UOHDmHN\nmjV49913IxsySLVz33jjDTz22GOoqKiA0+mM+N6xY8dw880341e/+hXmz5+Pjz/+GD/60Y8wbtw4\nTJo0qVfHf+2jPSjdux8TxhVxBIYicKoxmiPXhmG5GTjc5A5/5ksKbCjIMe5obmgERtP0kTpZCEOX\nA6KexVo3bvT4jrMhkZjOAaiKgraa3fBt3Q7rl1+g4NA+jPC0AX/9a1zH63Og++ijj2L+/Pk499xz\nYbMN/sXN7/fj73//O1566SWsWbMm4ntvvPEGxo4di0svvRQAcOaZZ2Lu3Ll4+eWXex3oAgxgKDYG\nMNHc3gAgCQzLyYBfUWGRJQhJGLo0nyPbCo8viHZPMFxKK8tm7M0RQpi33In1UaNxMCG2qrICjHD8\nf/bePLau87z//Jxz7r4vvJebuIgiJVGr7cixk7TZnDjO8lP9c5JO3A4wCdK0M9MW+aEo3LRN0MIo\nYCBdUHT6RzCDIoHbdJJMJ824WeQ0cVInzuIojhdJlERRorivl3dfzzJ/nHu5iJcUSXG55Hk/ACHx\n8i6HL895z/d93uf5Pl6mknlaQh7C/oM9l6j5ApnXrqBevozr5iCxyduE1dK2vf+mhW4+n+cv//Iv\nkeVNZz1siQ9/+MNr/uzy5curBO2JEyf4zne+s+nPETkwJuLGtERNwOSK6uJjXpe1BUxN/NvtCi6X\nWSghrh0oVTRUTVus0StVJBGpG05waVkDmlPdEUtH6oQ/6mpEPmp9lke5B24lDlyUu5hYIPvKJRi4\njG/4Bk2z40SN+v4SiUATqc4j6MeOc2SLn7dpofve976XixcvNkTjiGQySUtLy4rHgsEgCwubtKGQ\nQJElmsJuFGXrpsT7ncvDCQZuJZCqbUz7D0c4eYAurs2i1FnMSZjdnqx6nsSDbmRZWnIDkkCRrH3t\nTC3kUTWj+vub/elVzWB6oUDvIcdeH96ekC+oXLw2s2KR+MtrM/S0BfG4N33bORD4vQ5OHo5wddi8\nPymyxPHuMD6PNc8REPNJPfIFlYGRhcUxMYCrIwv79toxdJ3c6CS5V15HvnaV4O0bNKdmaa7zXE2S\nmY+2ke3uRTpxAt8DZ3DHI8Qw85Qx1DqvujubHrWenh6eeuop7r//ftrb21dFdv/oj/5oU+/33HPP\n8dRTT61Y0dVy/5555hkef/zxzR7ipjto2BWZk8ebiUetW1CTLZS5PpJEqv49JVnm+miSk0ea8Lmt\nORHPpVP4vU48LjuqpmFTFBRFJq/qxH2uvT68PcHngweON/P6jVl0Hew2mTO9MUtfO26nHUkCmaV2\nt5IELrcNn0XPk7HZefKllTelXEklkSsRj1n3XHnoVBsnjzQxlyzSFHJZdm6tIeaT1cylUyt0VS3g\nsl/uO1pFZeHydXK/fA356gCh0Zu05NN1n1tW7My1dlPuO4bz7CmiD54l7vcSX+vNc7skdL/yla8g\nyzKvvfYar7322oqfaZq2aaF7/vx5zp8/v9nDACAcDq+K3iaTSSKRjUchH39HL01XMrgDXrLZ1Z3e\nrMLodIaKqlej2zKarqNpMDaZ5lDcmpOOx66g6+aYOB12NF3H0HU8DtnS58qRVj9tETe5so7XIeN2\n2iw9HhGfE4/TtjLFxWkj4nNadlwKpcqq1A3DgGJJteyY1CiUVDAMCvkyaFZvB2DOJyGvnclEntaI\nh2jAZelzpHbfMVi6F8vQsPedSqFI+rUrqG9cxjl0nabJYZoqJZrqPDfn8pJo76HUdwznmVMETx4l\nYF+SoWWgvMbvKMsSWzWB3bTQfeGFF1Y9NjMzw1e/+lW+9rWvbfEwtsapU6f493//9xWPvfHGG5w9\ne3bD79HfHSE7ZLO8x2PI56ztupoYIEkQ8jksOzZOh0J/Z5jLwwmKagWbLHO8O4LTplh2TGq4nTZi\nUeGPCuZ5cu5YnMvL8lFPWvw8aQl78Lpsq/LbW8Juy44JCIeBehz0fNTNUrvvLLouYLouNMp8UlpI\nkf3VG+hXLuMbHqJpdoywrtV97oI/SrLjCNqxY7jvO4O3+xCBZdFqAzb3O20xm+WeEj5++ctf8uUv\nf5nvfve7BINBPvKRj9zL262LUaey4/z58/zjP/4j//Zv/8b58+f56U9/yo9+9KNdF9wHAWFpcjes\nmS8m2BjC9H4lHpedc8fivH5znlJFw2lXONMTtfR8IhwGVlMbE13TKaums43VxwQaaz7Jj02S/9Xr\nSFevEhwZIpacrptaoEsSc5E2sl1HME70473/DO54E42wZNm00C2VSjz33HN8+ctf5urVq0iSxOc+\n9zk+8pGP4HBsf77RY489xuTkJJqmoes6Z86cQZIkLly4QGtrK1/4whf4q7/6K55++mna29v567/+\na/r6+rb9OKzAkqVJgZaQ+8BbmtyN2iQsSZJpCSRaMQrWQXQBW40sSzjtsllIYnGEw8Bq5jMlcoUK\n+WWRf4/LZukxqbEX84muaWSv36T4+iUc168SHrtFaz5V97llxc5ccyf5w33Ip07gv+8UTp+XRlQN\nGxa6o6Oj/Ou//itf//rXAfiN3/gN/uZv/oYnn3ySd77znTsicgEuXLiw7s/PnTvHN77xjR35bKux\ncgtp3vJbSOLGtBJd01AzWcrJNIX5FJrXS7in0/LRS8FqaotEWZKwO+xikciyjlfLNIvVO155HIop\ncmu+fAbkiypuMafsCmqxROb1K6iXr+Aauk50YphwpX6ObN7pYa7tMOXeo9hPn8J/8ihehwPvLh/z\nVtiw0H3sscd4+OGH+exnP8v73ve+HRO2gr1BbKut5qDemNRiiUoqTSWZRk2l0dNZjEwaMlnIZZFz\nOZR8Dlshh71YwFHK4ywVcJaLyKyMLIxFO7h97tfoeeJ92DzW7Y4mWIlYJK5GzqY5NX4F++A1Kg43\nC9EW/Cf6cNp2x5O+EcmXNTwuhXyxmuMpgcelUCjXz/m0EnPJIpeGE9vaMKKcTJH51SX0gQF8Nwdp\nmh0lukZ+bdIXIdnRg3r0GK77TuPr6SK4S/0TtpsNC92mpiYGBwe5cuUKJ0+epKenZyePS7DLiBvT\naho5b9nQddRsjvJCCjWVRk1nMDJZjHQGshmkfG5RsNoLeeylPM5iAWe5gEOrbNtxHJof5dDz/zeF\nF/6dydNvxvHB9+M/as25QTRbWeKgLhI3g1ookPrl6xi/epXAjQGaE5OrvUNfhPL/ZScZbibX0o7W\n0Ymt5zDe4704QsG9OOxdJep34nU7cNn1xa6CNptsqfOkHt+/OMrgRGox0t3XFuSRcx2bfp/8xDS5\nV15DvnqVwMgQTQtTxOo8T0diPtJKpusIRn8/3vtP426JE77n36Qx2LDQfeGFF/jud7/Ll7/8Zb74\nxS/y4IMP8tGPfrRukZhg/yFuTPXZ6aIArVymkkxTSaXRkhm0TAa9KlbJZpHzplhV8nnsxTyOohld\ndVUKyNt87RlA0eGm5HRTdnqouNyobi+ax4vu9YLXR9buZDwvUXG6aZodpf/6RaLZBO5KkZ5XXoRX\nXmSypZv8299N6L3vxOayxvkjqulX0siLxJ1C1zQyl69T/uWv8Fy7TGxymKi+2vcz7/RgUyuLC06H\nViE+NwZzY3Dp54vPS3uDpJvaKLZ3IHV34+w7gvdwB7JycBZRy8+TWqOig36e3I35VIHB8SWRiw6D\n4ynu62siGlx710zXNLI3him+dgn79auEx27SmkvWfW5FsTEX7yB3+CjyyX4C953CEfAT3Zlfac+R\njC0o1YGBAZ599lm+/e1vUyqV+K3f+i0+8YlP0NGx+RXHXjPwP//vuColnGdO4uloW2yYYEUGhhOr\nJhwr36xrKIqEb52iAEPXqeQLqAspU7Cm0ui16GrOTAdQcnmUfBZbwRSsZipAAada3vbjVWWFotND\nyeGm4vJQcXtQPV50txfD5wWfD8nvR/L7UAIBbKEAjlAAm99315tovljhOy+PgAGKIqNWVGKjNzh7\n8xUO3byEsqyNY97hZvLMQzg/+H78vd3b/ns2CneOSa2162Nv7rTsbkiNUllriMrxnSI/Nknu5xex\nX36D2MggnlJ+1XMqio3pth6Kx0/iPPcAoZN9eD1Opq8Mkb86iHHrNs6JEQIzEwTXECY1ykot+nsI\nraMD25EevMf6cIT8O/Ur7goH/TzZDK8MzvLzy9Omz081b9kA3nKymfv6luKxWrlM+o2rqG9cwlnN\nr/WUC3XfM+9wM992mFLvUWynTxI4dRxln6WfKoqET9LgYx/b9Gu3JHRrJJNJvvrVr/KVr3yF6elp\n3v72t/OFL3xhq2+3Nyzbqs87PSSaOyh2HEY+2of31HFc8Xq2xweXhUxJuC5U0dUK2Ru3KV+/gTI3\ni55OI2eXxGpNsLrKhRUCb7so2l2UHC5KLg+qy0PF40Vze9C9PvD6wOdF8vtRAn6UYABbsCpYdzhX\ndq0FUXFmjsy3nqfp5R8Ryq5s5DLR2kPhHe8m/N537LsJ9m6Mzmb5+eUpJElaFLqGYfCWky20W7gL\nGNx9kbjfqKQzpF5+Bem11wnfvEo4PbfqOQYwG20n09ePfP/9BB44vWJnY70xqaQzZK/eQL15C2Vk\nBM/UGOHE1F3TjdLeIKlYG6W2TqTuLlxHe/F0H9o30d+Ddp7cC/OpAv/PD4dWFOghwYcfbEEevI5+\nZQDvzUGaZkax19kxAEh5Qyx0HEHtq+bX9nbv+yDengndGrquL6Y1/PM///O9vt2uknd5667Ca6S9\nQZItnZS7e1COHsV/6jj2wMG8eVl5+1UtFMheu0nl+g3k27fwTo4SSUxh17bWcrCGJskUnW5KTg9l\nlwe1mg6ge7zoPh94vdXoalWsBvzYwgEcwUBD36TWi8DomkbyJ79A+d5/0n7rysoor9PD5NmHcX3o\n/fgOd+72Ye8Ia0V03/9Qp6W3YGH/CxitXCb96mXUX72Kb3CA+MxI3ZShlDdEouc4+ukz+B56AFdk\n7ezGzY6Jrmnkb49THLyBcWsY5/gogdmNRX8XIs3kWw6hHurE1tuD72hvQ0Z/9/t5st187xe3mRwa\np312lENzI3Qmxoglp1cVA4Opg+fCLWS6ejGOH8dz/xk8bauywfc9ey509zP6rWGm/+lfyF27iTw0\niHfsNtH5CWxrVCIawEIwRrqtk0r3ERz9x/D19+37XEQrbb9W0hmyA4OogzewjQzjmxojnJxdNypb\nVuwUXdV0ALdnMXdV83jA6we/D8nvQ/YHUAI+7KEg9nAAm9u971fS9djojakwNUP2m88Tu/jjVTfm\nifZeM8r7yK/v+yivSPupz34TMIauk715m+LLv8Q5cIn42FDd9KKi3cVMRy+lE6fwvPlNm1q0bdeY\nlJMZstdvoA3dQhm9XY3+Tt81+pvyhkjHWs3o7+FuXH1H9jz6u9/Ok61i6DqVdIbSzDyVmTm0uXlY\nSCAvLGBLJ3FmUrhyabyFzJoaRJUVZuMd5Hv6kPpP4L/vdEM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jBE4dw3Wsj6Bk7QXEnbmG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\nLLHQJSIiIiKz9P8BKFaHf4hSynQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24d123d10>"
]
},
{
"output_type": "display_data",
"png": 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H6pp8aGjttDdhRERERGlioAtAloDBRR74Q6rdSbEPm+NairZbDgQFPj+IiIgG\nIOGbLoysLISuaXAqMgrzXHYnxzaDizyoKMlFfbMPQCT4Ly/ORdkgMZtyRG2t9eKrbU3IyXGy0yIR\nEdEAI3ygm5/rQjAQwriDS5AjcNOFHJeCoyZX4vNv9sIfUuF2Kjj8+4OFzpNAUEXNlsbYZ42dFomI\niAYU4QPdOdOGcyitOIoiIVdxQoJud1Js1+oLQtN0yHHnhqrpQndaJCIiOtCiTQgrSvNS3lb4NroV\nLJ0D0F16KUsS8nNdkCUJ67Y0Ct0utSjXlRDkAoAiS0I3cSEiIjqQttZ6sfST7Xh/1Y60thc+0KWI\naOllvGjppahyXAomjiqNlfYrsoQJo0qFbs5BRER0oEQL4ZLjk1QI33SBs4BFsPTS3MihhRhRXgA4\nFJ4nRJQxzj5JvcHzJMKsCWGqhA90OQVwRLT0cv22JgCRIFf0DnpROS4FxcV5aG7uQDis2Z0cIhqg\nOIoL9QbPk25mhXCpEj7QBdibPoqll9RbLG0gSg1HcaHe4HmSKLkQLh0MdLuwN30ESy9pX1jaYI7B\nP/WEo7hY87YHsbPRh8IcB3LdYoclPE+MEgrh0jAgzqjdu3fjzjvvxGeffQan04nZs2fj5ptvRn5+\nPjZs2IA777wTGzZsQGlpKc4++2zMmzcv5WOwPSrRvrG0wRyDf3MMYLqxH4S55TW1+PirOiiyDFXT\n8IPxFZg1cajdybJN9DwJqxrafUFOaNUlWgiXjgEx6sIll1yCoqIifPjhh3jllVewadMm3HPPPQgE\nArjkkkswc+ZMLFu2DA8++CCeeOIJvPvuuyntn73piXqHo3MYJfcKjgb/Ig/NB0QCmP95rQZ/++fX\n+J/XarC8ptbuJNmKo7gYeTuCWL6uFmpYQzCkQg1r+HhdLbwd4t5PclwKSgvd2LLbi627vdiy24uS\nQrfQ50mm+v0rdltbGyZOnIhrrrkGbrcbbrcbp556Kv7617/igw8+QDgcxqWXXgpJkjBu3DicccYZ\neOGFFzB37txe7Z8TRtC+sEq6G0uljFjVaBQNYHQdUORI8P/xulpMHFUq9LnCfhCJdjV2wOcPo8Mf\ngizJ0HQNeW4nahs7hD1PAkEVjV4/RlcWAbIEaDqavH4EgqrQtWaZ6PclugUFBfj973+PkpKS2LLa\n2lqUl5fjq6++wiGHHAJJ6r5ZjBs3DjU1Nb3ePyeMoJ7ED1S99JPt2FrrtTtJtmKplBGDf6NdjR2m\nJf+1jR3M+10dAAAgAElEQVQ2paj/yHEpfO50KSt0w+cPQ9cAVdOga0CnP4yyQrfdSbNN9MVZUSKT\nNymKJHytWab6fYluspqaGixatAiPPvooli5disLCxHZwgwYNQmtrq02pG/hYetmN7VHNsVQqUTT4\n/3JzI9p9QcgAJo4WO/ivKs2DLEvQ42JdRZZQWZZeG7tswntsNx1AaWEOdtR3vwANH5IHkbtBs41u\n3xtQge7q1atx2WWX4dprr8XMmTOxdOlSwzq6rieU8O5LXWMHZF2D09HvC7f3uy27vVi3pRFOlwOh\nYBgTRpViVKW4HWqa2vwAECutk2UJmqbDFwgjL9dpZ9Jsp6saNACyIsGh8NpRFBmSBEAHJCny2SHw\nPaWkyI3ZkyvxcU0dAMChyPjBxAoUC1xSB/Aemyzf7YSsyKgsy4Wq6VBkCYoiI8/jFPb6cThkDC72\nYHlNHWRJgqbrmDWxAnkesZ85SgbPmQET6P7rX//Cddddh1tuuQUnnXQSAKC4uBjbt29PWK+lpQWD\nBg3q9X7fX7UDsixh6tghGDO8uE/TPJD4A2Fs2u2FJMto9wXhdjnw7W4vxn9vMNw5A+Y06VOe3Bys\n2dyEYFCN5UmuR8GIYYPgdomZJwCwaUczVm+sj7VL5bUTuXY8nu4SF9GvHQA46egxOOrw4dhR347h\nQ/IxqEDsIDd6nji77h1O3mMR0IDh5YXYVd+OUFiF06Ggakg+cjyutHvYD3T+QBi+oIbxI0vhD4bh\ndjnQGdTgyc0R9jzJ1IDItc8//xw33HADHn74YcycOTO2fOLEiXj++eehaRpkORLt19TUYNKkSSnt\nv7MziOVrdqLApQhbJV3f7MPOOi/qmzuhKDJUVcOQYg++29WCwcVidqgBgFyXjDVf1ye8WXd2BNDZ\nEbA7abYIBFUsW7MTAJCT4+S1g8i109ERgCxLseHFNE0X/toBIqUwE0eXwevtRHOz2O1zo+eJpuvQ\nIUGCDlmSxD5PwipCoTDC4cgIJeGuz1BVYc+X+PtJfq4LgUAI7R1hsc8TACFVgybJqChN/QWo3we6\nqqpi4cKFseYK8Y466ijk5+fj0Ucfxc9+9jN8/fXXeOWVV3Dffff1ev/RNjCyJKHJ68fgQWKeSA5Z\nxp5mH1RVh6rp0HUd9c0+OGRJ2IkjAkEVe5s7MawsD23+MArcDjQ0d6LDFxI2qGv0+hEOa9B1IKQG\nAU2HJEHoaycvJ1KlGD+8mAQg1+0Q9tpJpqqa8HmRl+NEc1sAe5p9cCgKwqqKiuJcoc+TcFjrqhkC\nFEWBqqrQNR3hkAYlhSaI2SR6PwmFtNg91qFIQp8n8eOUn3vc2JS37/eB7po1a7BlyxbccccduP32\n2yFJUqwd7ltvvYUnnngCt9xyC5588kmUlZXhmmuuwVFHHdXr/X+9vRmAjsrSPKEbe/tDKjxOBTta\nOmJ5PHxwHvwhFQV2J84mrb4gtte1YUd9e3eeDMkXetioolwXWjuCXb3nI41SRb92kqeoVGQJ4w4u\nEbozGlmTkv4P3WJFAbT6gijKc8GToyCo6nApElwOReh7bHQc3eU1tdD0yAhjsyYOFfZ+ktwpPB39\nPtCdNm0aNmzY0OM6f/vb39Lef3NbALquI9/jEvqG43Yq6AypKMpzQdV1KJIEf0jscfskADvq22Mv\nVrquY2d9O8QsZ+jW5guisdUPHZE8yvc4hb52AI5EYYUjDHSLBnW5OQ4EVB05igSnQxY6qIu+OCeX\ncov84hwIqvh2Vys0PXKH1XQdm3e1YtohQ4R8HpuNU56qfh/o7m/FBTmArsPnD6GhtRNVg/PtTpIt\n/CEVHpeCvc2dsQBmRHl+ZHanXLtTZ48Grx+5bgU+f6T9mCRJ8LgVNHr9KBO0mn5vaycaW/2RdoZd\nIww0tvqFvnaiolNUNjd3CFvFGI/TIidiUGeNpdzd9rZ0oq6pqxmhHmnCUdfkE/YeGx1uzR8Mw9sZ\nSmsfwge6LqeCUFjsqTqBSIluc1vigNTNbUEh3yCjqkrzkOt2IsfpiJXoOhSxxwINhjS0tAcQDGtd\n3Wl0aFrks+hYetmNY1BbY1DXLVrKXZjris0CJkkQupQbEtDaHkBrR6ircRhQlCfu0GI5LgWapmPV\nxr1dpdypEz7QDYZUSAAqSnOFLaUDIlN26kknka7raOsIRm5CAirMc2HWhKFY8VUdZFmGpmmYOb4C\nBYLmR0RXMW686ACyAtta68XazQ2x3vSTR5cJXXrJaZGN4tujhlQdTrZHTZhV0ONxobMzCAkQupQ7\nx6nAH1QBXYeGyAuRP6jCJegLorcjiC83Nxrik1QIH+j6/CG4nQpGVxUJ29gbQORqkrrDFT26THCz\nJg7FlDGD4Q2qKHQpyHWLfcm4HAoG5bnQ3hlKaKPrEvjaCQRV/HvtbtQ1+mJ54m0PCl16GQ1gVFVH\nu6+757jIAQw7chqxI6dRg9cPt0uJNBvs4nYpaGr1Y3CReC9E22q9aOt6cU633lDspzYAXyCMzkAY\nazbtFbaxN4BYqa0sSd0jW8QtF1lhvgsHse0lAGDwIA8OHlqIusaOWOnl0NI8lAl4A47a29qJbXVe\ntPm624/5Q2Fh29QB3T3HP1q7G0FVg0uRMXtypdABDGDWkVPsTtBApCNneXEuCxO6lBW6EVZ1eHIc\n0fchqKqOMkFnFczPdcIfUhEIqki3UFfsM6qLrgPf7WnH7oZ2jKwssjs5tvCHVBw0pAC1jR0Iazoc\nsoShpWIPLxblbQ9iZ6MPhTkO4W/COS4FR02uxJebGyNTAAOYNLpU6AAmGNLQ0haEPxiOddBTVR2h\nkLgvRYGgijWb9mJvS2fsfiJ6YcLelkhHTlXToGqAIgONrZ1CvxABbPaTTAcwfHAedtS3R+6xEjBs\ncF7apZkDXUGuC5oWGd8/XRk9tcPhMByOgf3g9wdU6NDhcsjo8IftTo5tinJdkGQJkizBKcsAIu3r\nRK5WA4DlNbX4YM0u+EMq3E4Fx0ypwqyJQ+1Olq04lFYyHf5gGIGEwDYMXRK3qG7X3nZ8/V0LAqHu\n6tevv2sRujAhGFLR0OpHIKTGhiwMhXUEBe4MHW32Ez8SBZv9uFCYn4NBnSGomg5FllCUnyPss7i2\nsQMuhwy9a6SfdMipbqBpGv74xz9izpw5OPzwwwEAnZ2duPXWWxEKpTf0g500Xe/qXyOholTQcbTi\nsEdwN29HEK8t24JtdV7UNnRgW50Xry3bAm9HcN8bZzlvRxBfb29iXiAyu2IgqfQ2ENLQ3ilu3tS3\ndCIQUiPt6rr+C4RU1Dd32p002wTDKgIhFWFVh6oBYTWSJ8GguIHu3tbIUFrRAEbXERtKS3SKLMPp\nUKDIXWGaoM/ifLcTDocCt9ORdl+QlAPdhx9+GK+88grOO++82DKfz4c1a9bgD3/4Q1qJsJ0ElBd7\n0n5byAatvsioC/6giqa2TviDKjQ90ktaVOu3NaHZG4CqAZoOqBrQ7A1g4/Ymu5Nmq9c+2oI7nv0M\nT/yjBnc8+xle+2iL3Umy1c69HebL682Xi8CpREpgNB2x/3Rdh9OV8iMna7RYjGzTKvLLYld2aJqO\nYNeLEQChO0JHn8V6V+bo0IV+FlcNzke+W0GHP9KfKh0p33Vef/11PPbYY7jooosgdQ0zVFpaigcf\nfBCvv/56Womw09DSXFSV5kGWJbgFbmfodipY+20DdtS3o7ElgB317Vj7bYPQeVLf0oHkZkGaDuxt\n9tmToH5gb0sn3lm1A81tQbT5QmhuC+KdVTuwt0XcEhiHRdMNp1PcoK6kMAdaUqNCTQNK8nLsSVA/\n4HDIsWdmlCRJcDrEvccOHuRBntuBxlY/9jT70NjqR67bKXTnVrdTQX1LJyRJgsupQJIk7G3pFPZZ\nHAipkCQZ+R4l0kEvDSnfiZuamjBu3DjD8oMOOgitra1pJcJOTocCRZEwuMgDf0jcKqRtda1o6wxH\nSl4QCejaOsPYVjfw/k37ikM2v7Eoipg3HABY881edAYSr5POgIovNu21KUX2Gz+q1NBOWZEljB9R\nYlOK7PfNrlZDTasOYNMuce8nQ4tzTUt0y0vEDeoAoMMfio1+5AuE0eEPCltND0Q6hg8p8gB6pF03\ndAgdn+xq7ICma5AkOe1pgFMOdCsrK7FhwwYASLhoP/74YwwePDitRNgpWk0veserrbXt0JOKL3VN\nx7badptSZL9hg/MMNWgSgGHl4s6M1mZRzdruF7NaDYg8kwflu6DIEiREgtxB+S5he0kDgKRLptdO\ncommSOqazGuC6hrFrSHa1dCOusZO6JoWqa7XNNQ1dmJ3g7jPnWjH8PimCyLHJ2WFbng7QugMhtMe\nySblcuCTTjoJl19+OebPnw9d1/H2229j3bp1+Pvf/4558+allQg7NbQE0IhApHewwG+Rwwabd8QT\nOajL97jgUCSE1O4Tw6FIyHOLOx2jx2J4NY9rYI++khEdcDpkOBRAkyXIUuSzyO0Mx48shiQhod+D\nJAHjDy62L1E28/nDhn4gug50CjzaT7M3AJ8/lHCP1fQQWjoCNqaqf1BkCYqiQFW7SnIFjU8CQbVr\nAo0w1AM1BfCCBQsQDAbxxz/+EaFQCFdccQXKyspwySWXDMhAF4icP3uaO/HNzmZMHFVmd3JsUVzg\ngSxHOlxFyTIwKF/MQaqBSLWRWfVrUNAqJAAYNiTPNIAZNkTccUBzXF1TdiJaYhnp1JkjcNvLQEiD\n0yEnjEbhdMjwB8Ut57YagzvXI+6Ls9MpI6wm3mXDqg6nIm779uhU0eFwGHta/Cgf5EZhnkvcqaKl\n2LwZB27CCEmScMUVV+CXv/wlmpqakJOTg/z8gf+Q03Xgqy2Nwga6wWAY3adTlIRgSNzShhZf0DBI\ntarpaG0Xt5o+35NjcpYAeW4xq9WAyJSdcteYqJHxUYE8t4RGrx9lgwR8MAFoavcDSG6+IKG53Y+R\nEHMygJKCHNNCuZJ8ca8dX2fY7LEj/Jj2n26oQ32zH5oObNnlxZBiN3484yC7k2aLHKeCts4Qwqpu\naOPeW70KdD/77LNe7/CII45IKyH9gcDju6O2yWca1NU2duKQETYlymahkGasLtKBUFjcE6W+2Wc6\nEkV9k0/Y2YwKPU60+UKxfNF1oM0XQkGuuCV1+W4nQuHEGpFQWEWBwM1+djR0QJakhOpXSZKwo6ED\nBwk6iUZIM07rquuAKvBU67sb2rGn2R/LF00H9jT7sXuvmJOt1DZ0QFV1Q8l/KnoV6P70pz+FJEmx\naDraoSD5M4BYR7WBaOQw8U6iqL3N5mN+NrQIPhZo0jIdgMMpbuNLqzGEv/6uCUeOrzjAqekfapt9\nCCeNpRXWNNQ1+VBZNvBru9IRDIVNrx2/wDVE+TkO01EX8gWeVtxpMbKNQ+BmP8tq6kyD/49r6oQM\ndAEdwQxffHp1hb355puxvzdu3Iinn34aF154IcaMGQNN07Bx40Y8++yzuPLKKzNKjO3EfYnEUIsH\nsqgPagDIzXVYVNOL+2Aq8JhXsxbmizs+alOL3/TB1NjqtydB/UBdU6dpnuxp6sTE0fakyW6KMzI8\nkhZXMiXLktBBnVUPK0nUnlcAXA7zghSXoONyh8J690QiaerVE3vUqFGxv2+44Qbce++9OPjgg2PL\nxo4diwkTJuCGG27A0UcfnVGC7CIBGb81DGSTvzcYee5v0eHv7miV51YwcbSYbZYBoLU9YFoq1dom\nbhvdkZXmzRMOLi84wCnpP/ZYTCBSbzGclAismtLpuri1IYVup+GBrWk68jzivjjvthhabWdDBwZu\nI8jMVJaaFy4NHSzoCEiSnvFrT8qvCJs2bUJVVZVh+YgRI7B58+YMk2MfHUCaYxFnhRyngoLcxNK6\nglwXXAKXNngtxowVdSpGAAiomun4qAGBXxIzvw1nH19nyHR5h8DjLW+tbTNt3769rs2eBPUD7hzz\n54vHLe5zx6rkVtSRKPb0wTjTaU0Y8b//+7/dY7sB0DQNzzzzDIYOHZpxguwUVMV9WG+t9aIhqaq1\nodWPbbVem1Jkv8Jc82r6IkEH7gaAcNh8yLWwwNdORbF5SUt5ifnY1CLoCJoHup1Bcdvo1jWZT4JQ\nK/DkCJbviAKX/O9qMO8XU2uxPPtlfi6kXGdy1VVX4corr8TTTz+NiooKSJKE2tpatLW14b777ss4\nQXYSuTf9lt1e0/EMt9R6cchBYg7yXmTR7lTkQDdkUXIbFrhE12NVKpXmvOzZoMqi+tWqWlYE22rN\nS26314sb6FrdT0Qeqzzfoh+EVf+IbDeqshCyBENtSCpSvhPPnTsX77zzDpYuXYra2loEg0H86Ec/\nwrHHHotDDjkk/ZT0A0V54g590xkwL4EJCFwCs9PiAbSjvh3jBR1v2R8wPx86LZaLIGRRmh3SxA3+\nh5aal2YPLRO3lLtycB6+3W0MdqtKBW17CaC5zbzDZnO7uB05C/PMw7KCfDHjk9JBnsjIXunOFoE0\nAl0g0nxh/vz5aR+0v/IJ/LC2mhhC5OGAtta2WCxvPcAp6T9a2s2n5my1WC6CZq/5b29uFTdPrAb8\nb7douyuC0ZXF+PfaOsPyUZWDbEhN/zCk2HxCFavmQGIwr6qXBH1v3ri9yTDGf6pSDnTPP//8Hr9/\n9tln006M3URuZ9ho8bBuslgugqJc86YLgwQeSmt7rXkp91aBO9TstGhjuXOvuHmyfov5eMvrtzbh\n8O8POcCp6R8GWZTIDRJ4ZjSroE7PMLAZyL7d2Wy6/OudzThCwLHKv9ubedOelDujlZWVJfxXXFyM\nlpYWbNq0Cd///vczTpCdvt1pXoInAqu2UiFV3LZSVtMNqgK/EA0pcZsur7AomRFBk8V4uU1ecatf\n2yyaQnX4xS3R7ehkKXeynRZBjNXLowjCFo9cUZ86/j64PlIu0X3ggQdMlz/33HNoaRnYgaKYg3dE\nBCyaKAQC4ga6O/ZajfEo7vioLoshbhwWg5yL4KDyfNNz5eAKcTteuRSLQe8d4t5l6y1mn9zbIu79\nxGrELMXi/BHBpNEl+PeXtYblkwXtF+K1eEFMRZ/ddc466yw8//zzfbU7WzS1izvGY4vF2LAtHeI2\nXWjrNC+R8wqcJ+0WJXJWbTJFIEvmt1HJYrkIrGaF2yvwbHFWNYbfCFyTWFxgXhM0KN+85kgEO/ea\nvxB9Vy9mU6jRQ80nKUpFn92J6+rq4PMN7DdTj0vcQaoViyZRiiTum7Uim18esqADdwPAwRVWM6Nl\nfjMaqIZYjJdrtVwEVi9EVstFoFm+EIl7j7WqCXIKXKJrNXb9dkHHtLcamSMVKTdduOaaawzL/H4/\nVq9ejalTp2acIDsVF4nbyWhoWT5qm40llSKPe+mwCHRdFstFsNti0HKrQc5F0N5pXhvSZjGzngis\nSrmVPhj8faAqtuiMJvKwlvVW02c3dx7glPQfmlXfkAyG1xrI6poyf7akHOjW19cblrndbpxyyin4\n+c9/nnGC7NTZB21BBqohg8yrkMqKxa1CKi7IwXcmbS+Li8TNk9om8wfQnqaBXZuTiQ3bzKueN2wX\nt0raagpXkSfRqLOokq4TuM1/ocXINoUF4o5EUVmWiy+3GEdeqBoi5pBrch8ULKV81/nzn/8Mp9P4\nBhoOh7Fnz56ME2QnccNcWM6yJ4n5EgnAeiYWqzduEUi6ed9fqxEqRKBb5omo/aQBxapEV+Aqad3q\ngS1w0wW3RXNBt0PcZoRWk0yGBZ25NT838xqPlEPladOmmS73+/049dRTM06QncICTzvYbNERz2q5\nCKw6nXkFnhyhzXKIJHFfE63G306eUlsoFqPbC5wj8PosJluxWC6CzbvN251u3iVme1QA6LRox94p\naIff2j5oFtfrEt0VK1ZgxYoVCIfDpkOMfffddwiHB/Y/RJ7FnPUiqLMYz3CPwG0vO/zmQb5Vm0wR\nhGH+Mqjp4r4kWhXICVx4icZW82ukqUXcURdcTovSS4vlImiwGGt6bx90QBqo9jSaN2UR9Vns64MO\nrL0OdF0uF7Zt2wZVVbFkyRLD97m5ubj22mszTpCd/CFxyxu8FidTq8BBnTvHBbMGLR6XuJ1HSvM9\naGo1DnNTUijuhBGVg/Oxq9H4YB46WMw2dQCsS3Rlce+xDtn8zUcWuOmCy6JOOccir0QQsohDQoK2\nhMp3u9DUnlkhaq8D3alTp2Lq1Kk488wz8eKLL2Z00P5KF7hiTbIokdOFnY8FKCvMwU6TzmhDBO6M\n5rboTGTV1k4E3jaLKuk2cV8SrUZXEPcssS7R9Qhckxi0aPYTtJoeTACaRccYUfuGaH0Ql/Uq0A2F\nQrEOaM899xyCQesbuMs1cHtLitxzXNdlmE4yqIv7Zm3V21MXuLTB6l6rCTxsVEOb+UgUDV5x7ycB\nywBG3Bfn4oIcAMbaEJEnR+iwmKhI5PGWxb2TmnMpmb8I9irQnTZtGtauXQsAmDRpUo8DXG/YsCHj\nRNlF18S9CbtzHECHsXrA7RZ3OKCgxbALVstF4LPodObrg/nIByqnosCsiYvTIe61E7Lo2Gu1XGTi\n3k0Al1MGOo3P3RyBp4oOW8QhYU3Ma8eq1D8VvboT33bbbbG/77zzzqydyUXkt8iwZh7AhFUxLy4A\naLUYXUHkURf2tJh3iNjTB4N6D1Q+i06LPr+45wmsHk4CD7nWbDEJQlOLuJMjOCxmmbRaLgKn1URF\nfVCyORAFQpkPctCrQPfkk0+O/X3aaadlfND+ShV4OKCARWuUQFDcPPEHzV98/AGBX4gsekSEBK6S\n7ug0v0aslovAmeMETK4fszHYRdFkMYyY1XIRhCzGhg2K2vMKQKtFc45mi+Eus14flKv2KtA1m/bX\nyv333592YuwWaUMlpiKPE16f8c1pkEfcB5NVZ6IWgccWHlqWh217jKW3laXijjCQmwOY9UfziHs7\nwYghBWhqazIuryi0ITX9QzBo0W45IG6tWdCi0CBoUcgggqBFCWa4D0o2B6JwD33CeqtXga7ZtL/Z\nSNS5pAGgM2QxSLXANxzL00Hc0wRtPvPxLVs7BS1tAGDVPNmiRYMQnBajcDgFbnspOXTA5DKRHeLe\nUCKzxRlfAHSLmfVEYDmBnqBZ0hfN+nsV6P71r3/N/EgDwN4mcZ9MgaD52dRpsVwEHpeEkEn1s9uZ\nnW3Ue6Ot0/x8aDepDRCF2wW0m8T/boFLdEMWpU8id0aTLH66rop7P5Eshq+ULcZhFoFFWQI6BG3K\nresSMi1dSqtb8HfffYe3334bdXV1kCQJVVVV+NGPfoTKysqMEmM3cW/BgMNh1XNczAbwAOD25MDb\nabzrePLEjWA8OUDQJIbJzRH3YW1VAiNw4SX2WnS8qm8Wd8g1WZFh9pRxiDyFnqzALE90SdznjlWI\nL2ro73BIQIZ9hVIOdN98801cc801KCgowNChQ6HrOmpra3Hvvffij3/8I4499tiMEkT2CFlM3xwS\neNQFq57jusAdr6xaKHQExK1+tcwTcWcxRZtFprQJPNOiajEJQrgPhk8aqAblOtHmM+bLoDxx+4a4\nZMCsOXeOoC/OEizG+E9ByoHufffdh6uuugrz58+H0jXchaqqePLJJ3HnnXcy0B2grMoUJIHbLYdU\n84dyKCzuw9qq8MkhcKGUUzFvRybwZHHQLcaa1gUeXszql6sCj8td32z+NljfJO5bojtHRtBkbGG3\nR8xIV++DZiwp51xjYyMuvPDCWJALAIqiYP78+WhoaMg4QWQPy3ZB4t5v4A+aR2/+kLhRnVWgK+gQ\njwCA0kKP6fKSwtwDnJL+w2pIcoGHKofFDMBwCdzm32rACYGbclveS0Vt4SLrmQf4Ke9h9OjRqK2t\nNSyvq6vDmDFjMk6QnXLFnciI7YJMdFq0C/IJXE1vNd6yX+AXIssJI6wySwBWLZ5UcfsswmqemXaB\nx1t2Wb04i1l4CQDwdpg/dVstlmc7Rx+02Ug5tPvFL36B66+/Hueffz5Gjx4NVVWxbds2/PWvf8VF\nF12ErVu3xtYdOXJkxgk8kPwCv0VyJC0jhwyYNcd1CnwTtiqQE7igDq0d5jeO1nZxozrLavoDmop+\nxurHixm/ALDuY2Qx5LAQrOatEnU+q73NB2gc3XiXXXYZAOCLL76ITQWsd7Xj/OKLL2KfJUnChg0b\nMk7ggSQJeiKRucI8GU1txjtuUZ7A9fQWBK1VAwBYTO6EkMD3E6vuIyJfOR430GZS85Er7iAuRAdE\nyoHus88+uz/S0S+IXF1CRtbT3YpbLpX5iIZ9yKyjZG+W7etzivtx9tQ5MdqmQ4p7FZCSXguSP+9r\nnVTXt4FTMW9/6RS4eZhZkAsArQI3+yE6EFK+7UyfPn1/pMM2OaFODGvaDR2AQ9ehrC1JXCHNh6KU\nHA70Zj+ASRTR2+1SPF7S53E71gEwL5lzLN/HUC/786HaF/tOcx8jNn8Vqy7SJSk2AoUiA44VccUw\n8XmZ8HdcEhL+Hc3Xsd5Pb/6OT/m+15d6sY7Z/o/49svY8uRcdb3ZkcL5uY/vTZYZr6mu/0lJ6yf/\ne+t64jJdR2Lqkz/H78ti33Gfj9y8rjuNelx6ALje6kg8vmE/Juk1pCdp+338Pilpcz35t/UqUE5x\nfSQG4od9/WXSGR/5Xgbgequzl/s0X5bW70lOo8lHy/vEvl4ierndxO++NKwS/S3OZft+FBt+d8Kx\n9rFxb++B+1qvp+/T2Hbsru5aXwk6tNg6Ehyf5Uf/NN9P3P4szwmrF0TLfzOL9EpS93UW/1/CelLs\nfzos1on/vyRFVo7WjHd9VdFajzAiz5zoujokKACkulrjMQ37jD+OxfJ95YdZ3vb25dtqvd6+7Cf9\nLXWN1NLj+b8PKQe69fX1ePrpp7F582b4TXqgDLQS3/zOdgxpqUPYEQnmlDpjRzsR5AWtB3KX29sP\nYEr6D4+/w/I72es9gCk5kKxuOJH/yZIENXpjjttKAQBl/xbX9ZuS5CQBRw91z54DP/JCf8gnXTK8\nlpjnvwEAACAASURBVHSzmsvUbIPeFCIMEO6QddGt1GF9r4mt05eJ6ScK/G2W38lNjQcwJSmInpM9\nDb2ZwTqj9mzqPsNj79uRMM/5ick9Vk98pUz8zmKdaOyZ/KKd/FIuRerw9IR1kvYf+86kQCH6goCu\n9Qwv9vFv5eYv9LO+rokskiQ41DCAU5CqlJ9M11xzDbZv347DDz8cpaWlKR+QiAYuWTafR4PNfiie\n1eNd4D5GlC3MSij7UFhxml4/CgC43X16rIHwyhhwdhckpDuuf8qB7rp16/Duu+8yyCUSkEWzZaF7\nSRMR9RWrUE7cniGZS7kcZvjw4XA6xZ2ej4iIiIgGhpRLdBcuXIiFCxfivPPOw9ChQyHLibFyZWVl\nnyWODhwF5m+MIg8HRETUV6yGXGOrH6L9K+VAd9euXVi2bBnefvvthOUDdexcirCqFmF1CRFR5qxa\n9wyEdpJEA1nKge7999+PE044Acceeyw8HvM53omIiGjfGOgS7V8pB7o+nw+33nqrockCEREREVF/\nknK0+sMf/hCrVq3aH2khIiIiIuozKZfojho1Cr/+9a8xZcoUVFVVGUp2r7766j5LHBERERFRulIO\ndJ9//nnIsoy1a9di7dq1Cd+pqspAl4iIiIj6hZQD3ffff9+wrL6+Hi+88AJefPHFPkkUEREREVGm\nMpqcfvXq1Vi0aBHefvttFBUV4fTTT++rdBERERERZSTlQDcQCGDx4sVYtGgRNm7cCEmSsHDhQpx+\n+ulwuVz7I41ERERERCnr9agLO3bswD333IOjjjoK9913H6ZPn44lS5YgPz8fxxxzDINcIiIiIupX\nel2ie/zxx2PGjBn4zW9+g+OOO46BLRERERH1a70u0S0rK8OmTZuwfv167Ny5c3+miYiIiIgoY70u\n0X3//ffx9ttvY9GiRXj66adxxBFH4IwzzoCucwJDIiIiIup/el2iqygKfvzjH+O5557DP/7xDwwb\nNgwLFy5Ee3s7/vSnP2HHjh37M51ERERERClJeQpgADj00ENx11134cMPP8RVV12Ff/3rXzjuuONw\nySWX9HX6iIiIiIjSklagGzVo0CAsWLAA7733Hh544AF0dHT0VbqIiIiIiDKS0YQRUbIs4/jjj8fx\nxx/fF7sjIiIiIspYRiW6RERERET91YAPdHft2oUFCxbgyCOPxJw5c3DffffZnSQiIiIi6gf6pOmC\nnX75y19i4sSJeP/999HY2Iif//znKCsrw4UXXmh30oiIiIjIRgO6RLempgbffPMNrrvuOuTl5WHE\niBGYN28eXnzxRbuTRkREREQ2G9AluuvXr0dVVRXy8/Njy8aNG4etW7eio6MDeXl5NqaOKHW6piVO\nwqJr0DW9608d0DVAR9c6Xct1QNIin3UNADTo8eto0f1F/tajG+k6Iqvo3f91fadHv0f890BJe1Ps\nuFIsmZE/2r7Z0rV5935M/x/3WxNo8d93/7Ye96Fr8avHvpf0xO/jt5IM6Yp+TJr8Jmnfeux36wnr\nj66vgxkdQOO/fZFtJCmyrOv/ACBBiv4Rlzhj2UN028T1uj9E95n4tdz1nck2knG9pAMa/o5fFNuB\nnLCwK/mR/Q1prY+tlpirErwbv03YYc+/z2y9+PQlrZ+Qv8bfY74P62WSaf4Z87s7LyTLZe5gZ+wr\nPTFDEfK2xdbV5eRjRz9Lcb9X7vpf3G+L/p30bxr9zdF/GyLRSPoAntrsiSeewLvvvouXXnoptuy7\n777Dcccdh3fffRdVVVX73McXIyZhkK81duNxO+NuBkkP8uQHezzJ8JDUDetabW/Y1mR7s23T2Z+U\n9DlK07oDp+THlyxJkEx+s9kiqy8y3t50XbPjWO2yd6d5fDoTN9G70qBDih5H17uOF/9vlBgMSYgE\niFLCv5vxO8t0ExH1se6nS/dLRvJdKD4Yj18v4XPSevEr6XGBeuzuJ8XfMROfOJH1pdgySY7cGaPL\nu9MY93fs/13bGV4ou7fXJcReAsy+T9w28bjm68km38UfS+pePyl9ycdC10uMLkloaQ8mpjsu74oL\n3D283MXnEWL7NL7Adb8wRfMuuoouSZBix078vQn7RNKxJSnhbx3JL5Vxx5S6XvHjXnB1JG4f//03\nO1tjeVczbAKu/7/U+2EN6BJdM9G4XYr/x+nBYTtq9mdyiIiI+pW4MC/yR9xLesyALQKjbDI67u+a\nYRPS2seADnRLSkrQ3NycsKy1tRWSJKG4uLhX+/hk5DQU+1qgS5G3xzyPA6blgslvYsnLzdbtkvjG\nm/hmnPzZdF2LNCRsF3frSti0x/R1r7u31Z+Y5rhjDx7kMU2O5f6tmK5rsb3JYtNyT5N9WiXJWPKA\n7urjhPUi/69t8CUdH7G3z6rB+d1vtoY33u43eCn2ptv9xt61VfdbfNxbf3R593qRt+vuaksp9n3i\nW3HXMeS4NMWXMkSrOoHuKtVoFacUt07slOg6hhRNDyBBxor1dUguZYjmTfXEoYZzNL6kILrn+OXd\naUjcX+K6Vud01//lpPVjn+XE9RN23Z2/kW2Sr2vZ9NjdTRC69/Pav7ck7bx7T6fMHtl9SLMmEqbL\nNENyY81X4qOPpKYXiVUQWvyuEg9mtmxfaephvehB4r/69xe7un6Dcf3Zk4Yaf0P8/hJqVeJqPxIP\nBz3uh0gmeRC/61hzE5P0JGSSaV6arBcV19wmsQJIMyz8cnNDYlrjyjMnHFySuJf4ZkRJvwFxzZaS\n/60k3djEBrHfnrjfyLF1w29OOF7yv0m0WRPizs/4ffZUs2mSt7v3tsftK7HWrLzY05U+PekY6KpN\ni+4zbp3Y9t3rxadBSl7PpHmVBACxZlWR9WO1dbHt4r9L/HexWtdyvVheR5ar4ej1351n0fPfEb13\nR9MZl5eG9eP3H5//yce22E/itasn/HvH3y3j9xX7LXFp7rFGM+77FCKJlA3oQHfChAnYvXs3Wlpa\nMGjQIADAl19+idGjR8Pj8fRqH48duwDfr/0GYYcTAHDl6ZP3W3r7s7++vNbyO1HzZBHzxODbRus8\nOXG2mHnSuMZr+V3+90YdwJT0H9t2OS2/O6lazPOkpof7yTGniZknvMcaPbQf8iT5tc3kNa5fie+r\n8sirX8aCYacaTmt/A7p1+qGHHopJkybh/vvvR3t7OzZv3oy//OUvOPfcc+1OGhERERGlSJJlyIoC\nWVGgSzJ0WYYmK2nvb0AHugDw0EMPYc+ePaiursYFF1yAU089Feecc47dySIiIiIimw3opgsAUF5e\njieffNLuZBARERFRPzPgS3SJiIiIiMww0CUiIiKirMRAl4iIiIiyEgNdIiIiIspKDHSJiIiIKCsx\n0CUiIiKirMRAl4iIiIiyEgNdIiIiIspKDHSJiIiIKCsx0CUiIiKirMRAl4iIiIiyEgNdIiIiIspK\nDHSJiIiIKCsx0CUiIiKirMRAl4iIiIiyEgNdIiIiIspKDHSJiIiIKCsx0CUiIiKirMRAl4iIiIiy\nEgNd6pFkdwKIiIiI0sRAN46LuWGg250AIiIiojQxtIujKHanwD5WJbcs0aV4Tos7hsgviXku8+X5\n7gObDurfrB4vjgOaiv7F6rYh8KMYLosf7xb5RMmQwI8no2DI7hTYx2FxcVktJzGFtdSWiyCoWiwX\n+H5CRhanieVyEVgWpAhcwmJ1P/GHD2w6sgnfEeLslxuO3geV/32xj32QdQ2SyWEUAFAtciaddJlt\n01f76dN96XCFAqarS9ABn6+H7fXoit3b6ACkpLt3dLv45bqetJ4O3bCdaXIN26V1PLN0xg4owRkK\ndv0F6Mmr+TtN0mXx72E4Ri/09G9rsT+zczpxhdSTEUtO18ZSMATTQl0VgN+f/gEOpHT+PXrgUsOm\np6kEAAHz6yrmANzvekvqw8ZbHjUINWl3EgBFQve1Y7j+YbxudT1uayD++jRsJyV/7uleE9138jpJ\nPyTps2S6TW+OA7hC/kjquz5H73UOoPseazg1uxb0dM7Gf2e13oFch2wlfKDr9RSitrgy9lmtqrJe\nOdOTONMLInmbPrmoIvvYUdSQdBPuuuFIQPh7Y8yPKfVww7H6LvbZuB9D4NTTvnra/z5vSL3YRpKw\n4QsZIZPnnFOWEDrmqH1ub338npfpZulLZ1/7YbuV6wtMH/0KgPn/Ncfkmx72mYl097cfHkTLNxRZ\nfjf/5B7yJIt9+nUhQibvxy4FmH+SmHmyavMg+IJxC7qCu/wc4IKT5vSuEGBfnzPZrg+2MbwY7GOb\nNTVuaCbrOHQdoaOru9ZP2k7Xu/+Dbvwufh3D+nEvv8nbW+0juh30uEIG83USfq/l34afm7BOY96O\n7uPFkQCoQ8p73LYnPb609bR9b148e1wls33///buPTyq8s4D+Pdc5p7M5EoCkYtgESgEsSBgs16o\nYnV9UNTK0q5rBRFvtIIKUlaLtFpZcVHElrpWsV0ela61gLpSrW4Vi49SNQkiolyFkBByTyYzZ+bM\n2T8mM2SYcyCEyAnzfj/Pw2M5JOHldM45v/N7f+/vDbqzkknIoMt7/LGYED7QjThc2NPnTACASwX0\nkaU2j8geX+dVwWz2WQEQG3r2qR5OrxAKBBA0ST5luQAjN+/UD6gX0GXzWpYYIHaRO6WIWUwCxQQu\ncXGoEqB1erB3vHQpDunYL+inkRPNf7e5fKbPHRWAkZffAyNK13vmC8ztK66HWZWCUwL0Meee8vHY\n7cv/C0I7yfsGa3Q7O/3vM91m9TkSuX7MaoY1dJyZVyLRWd1PYr09yvgGtWvm//hQWNyTYvU5Ebkc\n1e0yP+5yihmg9MQ6IQa6ncgCZxsonVWQL/JNmKukqSusQjeRb7G6xY0jKvANxeq+IfL9RFXM77IO\nh5iBbk8sdGag25nAZ8OqpYlL4OIWq1ZaLoHvwj6v+UnJsjguAqvPiUPgz0l+tvmNoyDgOMUj6T34\nkpjO8n7iE/esyKr5OZEEbYEk90B8L+7TyURE4DfrbI/5g8nvFTfS9XrMbyxWx0XgsYjyPQK/EekW\nGQerOlURGBY5XcMQN6crW1wikrixP/xe8ybUAYvjIjCsmhxFxSxxsWr6dCIY6HbSE28Opyu/z7y7\nvd/nOcUj6T0CXvMnkNXNWQSqxdNaETTbAAA+r/m/PdviuAjaguZPJ6vjIrBqdSeLGb8AAA41mLff\nq643aVUoiLZ284xbW1DMTFxPXB4MdDspKehe64pM0Gqx8qql/TTpA/oNiHG/uHQWy+YNq7SmAM4o\nyDI/3sf8uAgsygzjPWMFpVhkbmWBM7qW3TnEfR+ynCE6ugezKFw9kFdioNuJ4hB3+jUUMt/GSQuL\nu71TS6tmeryxRdy2C5pFoBsRuG9UQ7P5y2Bdk7ifE6fFntBWx4VgEbxJAgd1Xrf5m4/P4rgIrM6J\nxyXmteNynvyboJhnzoIicKbOsPgoRAX+iITNOt4D0KICP5ksdvUwLHf7yHxtFi+Jbe3mL0oiaAma\nv/i0WhwXgtWtVNxLByGLulNN0HpUAHBbrHfwWKyjyXRKD9SUihvFmGgVuEFqa8j8AdTWLu6DyXLh\nlVvMGw4AGBbpJ0kS93MiKeb/dkkR92HtNS/5h8crblRntR+EyOUcVguvBK6EQlgzPynhsJgJluL8\nky8pZaDbSUtQ3AwMW9+k65tvXmPZN0/c2stgOxcZHc2hmBeROayKMgXg8Zh3vfe5xV3I6bRYsOkQ\nuGQuN2D+ecgLWOyaIID2sHmU3y5ooCv1wJQHA91OjK7s6Zyhzuhj/tZ0RrHvFI+k9wiHzVe5Wh0X\nQWHAvAtHUa643Tlki20QFIF3oGkLmpdztFgcF4FhUceuW6U1BSBZTEtLjEzSiBqeHKxvO+mfwY9T\nJ6rALZJ0i6tIF3gOqdGixrIpJG7m36oThagrggHrxRJOh7gZXbfFLk5uQbcxBQBDNn++SJK4z52G\nZvNyQZEXchbmmtf9FOVZ1ANlOL0HFjoz0O1EEfd+A91in72owJvTWwX5UYEXo0UtbjpRgV+IXBbb\nCroEnpL2WfQEynIKPCUdMp8JClr0TRVB3zyLmcQCcWcSreK6ntgK93TkUE/+PspAtxNJ4NOhWkT5\nDoHnkHwei4e1Rf2hCDSrhRIWx0UQjpg/gayOi8Bq0bwm6vwrrLeKttp+XQSqbH5SZKuVewKwumuI\nekaiFt2PToS4UYyJoMBT0lZVG6oq6uUFZHnMp559FsdFYNVdQbLa9kkEVikYgWsvc7PMXwYLssWt\n5e6TZ56l7CPw4tZmi9Z8LRbZbxE4LNpwOFQxw7WeeLaIeeYsuAVuZi5ZZG4lgd+srQNdcaekLbsu\nCDz92mqxGrotJG6gG7XYuDMi8JZXmsXcs9YDGavTVZ+AeelCH4tFryKIWJTGifo5Kcw5+TIWcSM7\nE36r5o8iEzhRV99ovuNVQ6O4CyWs6tgdAmf+vRZ9lb0CvxCFLVokWR0XgVXfe6vOAyI4o9A8iBlQ\nJG6WO+A1L5nLzRKzNV+u/+RLBRnoduKxqMkUQd988xtOv0JxbzgNFl0XGoPiBrrDB+abHh9xpvlx\nEbgs6n6cDnGLL4tzzR9ORfni1rcbFlWWIlf91Fpsn13T2H6KR9J7uCxenEW9nzT0QAcOBrqdRASd\nGgCAfharXPv2wK4kp6tvD8w1PT5ycN4pHknv4bC42aoWrZNEcPaAHNPjw/qbf35EcKDOPFA5UCtu\nAGO1A5rIGd2gRY1uu8CLWy1fnJ1izhC1hU9+7RQD3U5EDur217aaHz9kflwEHos9x12CvlkDgM/N\nuuWj5WSZlzwFLBZkiaCpzTxT19wm7myI1eNW5HUQVutiBI3pAAB9LRYt9sRWuKcjrQe61zDQ7SQo\n8I5XisX8mdVxEezY13RCx0UQssrACHzt1DabZynrmsTNXlq9JHrc4r4k5uWYvxDlBcRdGxKxuG1E\nxd1AD7nZ5i/IOT4xX5yVHtjIi4FuJ1kW2SoRHDhs/lDeb3FcBD6P+QWWLXD2sqHNom65VdzWfBGL\naVZRV0kDQH62efCW7xd3NX3MYlOVmMCb8rhcFputCPxCtLPKPJGyu6r5FI+kd7BanHciGOh2olg0\nrxZBzKIXaMwQd5W01SYaPfGGeboaWOw3PX5m3+xTPJLeoyloHuQ3t4ublnJYXCMORdx7bJvFbEir\nwJ8Tp8Xnweq4CFSLf7vDYlvtTOfsgY4+4n6aTAi9EYDlcTEvLgAoKbDYnrJQzFopwHojgIBFnaoI\nrLYxLcoVN3vpsmhu7xS06T0AjD6r0PT4uUPNj4ugwKKcw+q4CPL85v/23Cwx7ydRnRtG9Kg+OWJ+\nkADA7zOfHsjJFrfl2pAzzFfND+lnvspeBK1Bi52MLEoaRHBWifnnweq4CKIWM0S6wNP0eRa1lwFB\n+6MCQFubeZFua1Dcmv+QRclTyKqgOcOd0YcbRvQoj0X/OhEUWAT5+QIvlLBqfdNqcVwEEYs6Q5ED\nmMMWPT8PC7wYLWCxcCbQA83fT1uSlLZphCwBMMSdNdMtdsoTuWQux6ImNUfQLi4HLVoVnggGup3U\n1AftHoJtVIspRat6IRHUWgQqVoGNCCw/JwJPSe+uMV8ksre65RSPpPcYatFDWOQsd47PiaPfB2NG\nz+z8dLrK9pr/27N7YAHS6SpqkUyIWmwhnel64jVQ3KeTiZAm5tQAAORb7C2eL3A5R5vF9Flbu7if\nk2yLziTZAte3+yyaflq12BKB1S5giImbvWxsNe8h3NBi3nNYBFZBvlWLLRE0WpSBNQlaHtYT9doM\ndDvJsni7FIHV22JEE/MtEgBcFqtcXS5xLxuHw/zfrlht+yQAq+2PR5wp7g56hmSYT9ML3Jd7+74G\n0+Nf7Gs8xSPpPRyq+cugqoj7kvidoYVpr4lSx3ERuXtg9xBxn9gmBhRl2T0E29RZ7DleL3C24Vi9\nKETVHjKvqQtaHBeBahHkOwRuV5hrUaNr1bVDBLkWq+nzBC5dAMwTKRLEfSHyeZzwHtVH2OtW4BG0\nz7/bwUC3R+3cL+6OVyX55isbS/qIG/wHLUoUrBapiaC13Xz6rCf2Iz9dfban3vT41j11p3gkvYem\nW2yiERX3hWjs2X0sMnV97BhO72CkN7CUAIHDXABSfHG4z63AoQA+t2K5WFwE/YuycLK7ZIs7P2Di\nYF2r3UOwTcjiASTy1q4er/kbtMcl5ps1AORY7XglcB/dQ5aLFsWdDTncGDJdeHW4ybxOVQThSAyK\nIqX0BVUUCSGBy8McDjk9spUAp0WJlAj8XicON7ajrWOWLKLrQGM7/IIu0Mv1u+H3OtAcjMDo5huQ\nuJ8mEwLv2AlFkU3frB0Wu4OJYMRA8xXiVsdF0NBqHrzVNYsbwEwYVmR+fIT5cRF4LVo1+gReoHeg\ntjWtDZ8eM3CgVtwES47PafrcEbWVFgDsqW5KBrkJbSEde6rFnHH2e53IzXYj4HPC5+ne/YOBbidF\neeJmpUYOysPRJYWyDIwYZN4mSAS1Ftmn2kZxgzqPVYcBgXtQe9wO04e1W+DMf1s4mjbdKElAW1jc\nsp/2cDR9Tt6w3iBABJqum2b+wwJ3QNq6y7wU6rPd5osZM10oop90Fw4Gup18e5D56mkRGAAcR/VC\ndahyt6cKMoHXqUI5aum4IkvwCtxKS7Hoq3z0eRKJU5HTuk4oiiT09GtJns/02ikpOPldjk5XA4qy\nTJMJIi+C3n/IPJt9oLbtFI+k97Dqo6tb1L1nOrdDwb5DLWgJamgPde8FSNw78VEciowci1WxIqhv\naocWTY1qtaiB+hZxN0cYckYAxlGRvmEYGNzPb9OI7GfV07BQ4L3pNT2Wth97VDcQFjhTlx9wmwa6\nuRY13iLID3jgdKSWgjkdimU3BhFYLW5taRd31syqbMMv6LVTVduKxpYw9BjSsv9dJXygK0uAIsff\nrPfXiLuTUXVdELGjPkWxmIHqOnF3izt4uNVsphEHD4tbUwdDSmunpSoSDIE3ArDKSlkdF8HBuja4\nnfFV46oMOBTA7VRQLfDuk4ebQ2kzZIYB1DeJu2gRhnkIIknirg2x2hii2WLDkUy3q6oZFknuLhM+\n0O1M4Fl6eNxO05o6j0vMlZ4A8NWBJtMH084D5lu+iiA32wm3U0luBiBL8QAmxy/u50S16Jcr8rbI\nWW4HoroBo6MjqoF4twGfV9xa7mgkirCWmuUPazoiArdcO+uMgPnxEnFnzUIW7StDgta3q6p80u3F\nxL0Td4gZSL4tDOyTbe9gbFRS6IXzqAezU5VRUui1aUT2y/GZTxVZtdgSQUHAA8Mwki8AhhEv57Da\nQloE3+ofMH1JHNrP/CEugmyfEzHDgK4b0GOArhswDANZHnFfiHYcaDadIfpS4P7thtVO0QJnnWSL\nF2TZYn1EphsztBDqSa4BEfPMdZIoXVAVGc1BcZveFwQ8yPI6IEvxFeOyBGR5HSjwixvADOrnh+Oo\naXqHImFQsbgvRFW1rYhEjeQD2wAQiRo4KHCLpJZgBG6Hkuy8ICG+gKKlmwsnMsHBw23JKbLEeTEM\noEbgUqihFlnKsy2ymiL4movR0pzzLfOtfs/9lpgbi7gcykkv7BU+0FUUCaocrztsE3hzhOagBqci\nw6nKcKjx/zpV0YN/NwpyPHA5JDgUCS6HhIIcD/IFXjxSVR+EHotB6nghkiRAj8VwUODayyyvA16P\nA36vAz63Gv+vx9Htno+ZwUBENyB3rH+Q5fgCPXEruQHDkHB0Uk6RgZjAZ2VAoXnHiTME3pFzQJ9s\n844lFucq0325v/GkW/CJfCcGAMRi8ekTPQYU54k7Ta9FYgiGdaAjgIEEBEM6IhFxd+0JRXR8qySA\ngx4HIroBhyKhb54XoYgOUXO6BX4XklsZJe/FkmU3BhGUFGShIODC1zXxLFREN1Bc4EK/AjEfTAAA\nSYKqAFokntiVACiq2OsgnA4ZqqLAMOK9Y2UJUJWTz1adzrxuFbKUWqogS4DXKe5itIOH4ws5g6Fo\n8tpJLOQUcSvgptYITrazmvCBboLLIactFBCLAT2W2iZJVWIwJHEfTQGvE3kBN1RFQkNQQ67XiUCW\nC36fuHWGeX4PcrKcaGrTYBjxjG7A5xS6bRQAFOf5oIV1BCM6vA4FffN8Qkd1ffN9cDtVGEYEBiRI\nMOB2qijOFzeZ4FSVZC135/8e3b9cJG0hHQ5VRiQaSwZ1DlVGMCTus9ipytCisXjSqeOkaNGYsC9E\nUV1P2yX6RAkf6LqdClQFkCQJmsCrX2EAiizDoRhHMjAWq8lF4XIqqG8KYcsXtYgZBmRJwtizC+Fy\niJttKMzxYOTgfOw/1IpwRIfLoaB/nywUCLwYrSmoobk1jOb2KAwYaI4aaGoNozmoodAp5nkxAJzZ\nNxtf17QihniNXP+iLKE3oIEkweVQYMRiyXPiciiQrFZkCSA32wmHKsc3STCOBP4id3EBkIzqEs9i\ndCz6FdGA4myoqoxox8tQdwgf6IYjOrSIBL/PgFMVN4BxOhTkZDnR2q7BMCRIUnyF9NENzkVS29iO\nil11iHXcYGKGgYpddahtbEehgFNIQDz4v2B0P3yyoxbBSAxeh4wxQ8UO/iUAX9e2ATCgyDJisRj2\n17ZB4NJLBLxODCz2w+91orY5jEK/C3l+t9CzIU6HDK9LgRbRgY4XZ69LgUPQTB0QXwStyFJH95b4\nMUWWhF4ErekxyDJgdOTdDCNe4x6Jihnonlnsx+B+fuw52JzW67+rxL3COiiyBEUB9JgBp8B1QYU5\nHgzq60ee3wN/lhN5fg/O7OsXOlO3fU+9ad/LHfvE3HO8M1mR4HOrkBWBo7kOh5tD8LpVxGIGQloU\nsZgBj1sVeiOAxGzIR1/UYk9VMz76ohZ1TSGhX4j8XicSqzilTqs5swUO/g83tQOIL9JTFHQs1pM6\njosp2+OAHosv3Ez80mPi9qB2ORWc3T8HHqcCtZst1oQPdOMkuDtuzKJyORWcVRKAIktwqgoUJo0D\nvgAAIABJREFUWcKQkoDQD6bCXA9iALSInvwV6zguqrCmo3JXHbSIjrZQBFpEx9ZddULXt5fk+9AW\niqClPYJgKJr8b78Cn91Ds01tYzu27W2AU5GgKBKcioTP9zagtlHcAKa5TYNTjWd1vS4VXpcCpyqj\nxWInLBG0BiOI6np8YxFD6thYRBe6A1J1YztcDhmKIkGW49ePyyHjUL2Y105zm4YPt9cgFIklZ1dP\nlJivCCZCmo4CgdtGhTUddc0hDOqbDU034FQk1DeHENZ0uATNdPcryIIqA5pxpFZKlRFfaCSopqCG\nvQebsbemFbphQJEkDCzKEroeNRzREToq0A9pUYQ0HdmCrr36qqoJ7eEIwp26trgcMeyqahK27AcS\n4HapUBU5ee2IvBANAPIDbuixI/WnRscGTnnZLptHZp+z+gXgcTmgylFEY/FnjtOh4qwSMfst7zjQ\niIbmcHynxW4Gur3+KmtsbMSCBQtQVlaGCRMmYM6cOaiurk7++YEDBzB79myMHz8ekyZNwrJly07o\n5+sxA1E9BkWWTrpX2+msKaihvimEPdUtOFTfjj3VLahrCgndR/dwUztURYHLEe8p7OpoDyTytJoE\n4MsDzWgOamhrj6A5qOHLA81C16N+VdUUL4GSkfwlyxJ2VYm741VxjgdaxEDnnUW0iIFiUYNcAIUB\nD3xuFY2tYTS3aWhsDcPrVoVsGZXQ3B6Bz63GSzkgQZLiJVEtQTG3uwXiZYT9C30IhmMIaTqC4RjO\nKPQJu/tkNBKDFo1Bjxnd3jGv1we69913H+rr6/Haa69h48aN0DQNCxcuTP75nDlzUFxcjLfffhur\nV6/Gm2++idWrV3f553ucKrLcivBdF9wOBYea2hHTjfgUvW6gtqld2GwuEJ9WUxUJXrcjvimA2yH8\nxiL7qlsQieod2wDHf0WiOr6ubrF7aLYZUJiFsBZDNGogqhuIRg1oWgz9BW56H4rG4Pc6ABxZZOT3\nOhCKituX25wkdBu6Ar8bkiQh2xu/x2Z7HZAlCfkBcWdXm9s0NLRq8HlUeN0qfB4VDa0amgUtcXGq\n8kl3a+n1gW7fvn2xYMECBAIBBAIBTJ8+HR9//DEAoLKyEjt27MC9994Ln8+HAQMG4KabbsLatWu7\n/PP1mAEtCqiKJHTXhVBEh8epoq45hMNN7ahrDsHtVIWuvRzU149srzOl52W214mBRaJuF4Fk5rZz\nBubI78VkAFCVeNP7xC9FgdCttEryfcj2OZHlVeF2Kcjyqsj2OYWvW24LRRHwOeFxqQj4nAiGIkLP\nEBkA+vfJgixJUGQJsiThjD5it6Hbc7AZLUENiizB7VShyBJaghr21YiZTGhsDZ/0z+j1Nbo///nP\nU35fVVWFwsL4XtDbtm1DSUkJsrKOZE5GjBiB3bt3o62tDT7f8W+qbpfSsfOIKvTqV7dDQUNLuPNM\nIxpawnALvBjN73OidEg+/r61GoZhQJIklA7JR7ZX3M/JgKJsOFQF0XB8atEwAIeqon+RuNnL+IKa\neAugxCYaUR1oE3j61eVQ4HLK8fIFAFrMgMupCJ1MgAQ0tYbTNlsRWcDrhN/nRK7fBV03oCgSAj6n\n0G3osrwOQJJgxOKbOMGIl0KJuqV4IMsl1oYR+/fvx4oVKzB//nwA8fpdv9+f8jU5OTnJP+tKoFsQ\n8ECS4tv/6roBVdDFAW3hCAzEeztKktRR9G2gLRxFrqDTSGFNh6rKOPfsArS0R5HtUeFQZegdD20R\nKYqEkkIv9lW3Qo8ZHXuwe6HIsrDXTigSBRB/ETqS2DbQHtWFPSfV9UFIkoR+Bd7k50SWgIbWMM4Q\ntKTD53agtT2KSKfyjbb2KLweh7CfEz1mQO7o9CM74z2oZVmCqoh7PxlY7Edhjhv7alqTq6AHFmVh\nQLFfyHPidilwuxSEwvrpu2HE+vXrMX/+/JSpz0T27Fe/+hWuvvpqAMDOnTtx880345prrsE111xj\n+fMSq/K6OpV69sBcuJ0qXE4FA87Igdtp+ymxRXNIh9/ngs/tRFSPQVXi7U38AQ9yc8Wcbqyua0Nr\nSMfBunYYRjxzhwIFUBVhz4mkKtANwOdxIKLH4FBkxAygT58s5GSJ+UI0sF8uvG4Hwpqe3EHP7VQw\nsCRH2M9Jc0iHQ1WgKkdeCCVZ7PvJrupWOFQZsVj8mpElQFVltIR0DBX0nFTXtaG4IAsFOV6EtCjc\nTjUezAl8jw2FoxjULwAJUvKcDOrnR07AC7dLvPjknGEKSvrsQUNTKL41cjfYftamTJmCKVOmHPNr\nKioqcMstt2DmzJmYNWtW8nheXh4aGlKb9zc1NUGSJOTm5nbp78/yOhGJ6Dirnx/tbWG0t518Pcjp\nyCUDBQE3quuDcDoU6LEYCgIeuGSgoaHN7uHZIhzU8HVNMwzDgKooiER17K9pRrhdQ4Oge0bsP9SK\naEfLKKeqxBejRWL4+kATjD5i1nP73QoG9/Njb3VLMtAdWJyNbJci7LWTuJ/U1Achd+wWV5zjFfp+\nAl2P1112ClYUSQJiurjnJKoj3FEGleV1IhyOIKbrgC7uOTnUEIRblXFmPz9CER1uR7zf8r4DjcL2\ncL94TAk2lR+E3s22C7YHusezZ88ezJ49G/fdd18yu5swcuRIVFVVobGxMVmyUFFRgSFDhsDj6doH\nYtLY/kA0fgOKCrwiWJEllI3qi4qddcl92EuH5EORxD0vraEICgPuZJN7CfGHd1t7BF4B36wBIKrH\n4HIqcKhyssRFkSXoekzYz4kiS7hiwkB8vKM2+WA6d2ih0NdO4n7Cc3JEUa4XA4qy8HVNa7xA1zDQ\nvygLRbleYc+JIkv49qA8bNtTDyB+jx0xKE/oz4nP5UBDSxg1DUGoioKorqM41wuvWxX2nEwcUYzR\ngwvQ3M3F8b3+ab1kyRJcf/31aUEuAAwfPhylpaV47LHHsGDBAtTU1GD16tWYOXOmDSM9/Z3Z148B\nRdnxJeQdwb/IAl4n8vxuBHyu+DxjzICqSEIvlCgMeFCc58WhhiAURYGu6yjK9QrdCxTgtWNFUSR4\nFQckkXtodXA5FfzzxEH46PMaNLVHEPA4MG54kdC7TwK8dqxIR/1X9EvIn+XEwG6Ws/TqQLe6uhqb\nN2/Gli1b8NxzzyUzSJIk4Xe/+x3Gjh2LJ554Avfffz/KysqQlZWF6dOnY/r06V3+O9a/uzOZvTyz\nr/+4X0/icDkVjBqcfyTLLUsYOThf6AeTy6nggtH9ULHzMGKQIMNA6ZACoc9JgssZrytsaGgTNvOS\nkNgqWpYkeDxOtLdr2LqrDv3yfcIu5ExwOhUUOFUG/53w2jmiKagh4HMi2+uAJMswYjHIkiT07pMn\nq1cHusXFxfj888+P+TVFRUV4+umnu/137K5qRlTX0dQaFv4mvPtgc1rpAoN/wOhY+mrwwQSAGRg6\nvqaghljMQMww0BrU+LAGg3/qmoDXCVmWIOPI50QChJ5JBIDmVg3764IYdVbhCX9vrw50TxXDiLfD\nOdzUjpJCMVvfhDUd75ZXpdQFiR7888FE1D0BrxNNbVpanaHID+tE8C93ejHUY4bQwT+lS8wkfryj\nFs31bfB01LeLPGv2fuVBvF95EDEDeOyuC0/4+xnoEoD4rj3V9cHk7xn8MytlZffBZny2px4ulwPh\ncATfHpTHzD+ZYp3hEYlMXWeKLHbNP5mrOtyGHfsbEY3GoKoyivO8wt5jm9s0/PUf+9HSrkGWutdH\nmIEu4uuMhF9Qw9nnNMxKpUtkuRNiMYNZbkqTqDP0e53JhZySBKFfEhOZukSHAUWWMGJQntCZOkp3\ndGAXM2L46z/2Y9TgfCGfPYktkQF0O04RPtA9s5+fC2qQupoeYPDfGbNSR3D6lboikb3U9SMXC7OX\nrG+n49tTfVRgZwAtQQ37alowcnC+rWOzQ2JLZBjdf/AKH+hOHNUXfpcKr1vsU5FYTX9030uRg39m\npdJx+pW6wuVUkO93Y/Nn1ckNIyZ+u1jo+0kCOwykC2s6quvaGPwDyHKnB3aSJMHnFTNGKSnIwsBE\n/+luEvPMdVK5s451hp0YHb0F2GEgNajj6tc4Tr9SV4Q1HXXNIQzu50+2SKpvDiGs6SxxoRSs+U9V\nUpga2MmShP5FWeiXL+ZamUT/6Y93HEIocppuAdwbsM7QvOtCsD0q9DlhUGeO0690PIkSF1WRky+J\nLHGho7HmP92RwI6zqwkpz5xuED7Q5Wr6uNomdl0ww6DOHKdf6VhY4kJdwZp/c3zupEs8c7qje70a\nMsjuqmZ8daAJzW2a2Ddhq0oFXl9wORUUC5xhIDpRidmQxANa4a6CZKLzosXWoAZdN/hC1IHPnZ4j\nfEYX4Gp6ACjMsei6EBD3rZqIuo9ZKToeLlqkU0H4QPfMfn6upseRrgtHbwHMGw4RdRdLXOhYuGiR\nTgXhA90sL1fTJzADQ0REpwoXLdKpIHyNLsD6sc5YF0RERKcCa3TpVBA+oztpbH9mL4mI6JTg5ghH\nsEaXuipx3RTnn3jnBeED3eJ81o8REdE3j5sjpGKNLnVF5+vmh5cNO+HvZ+kCERHRNyyxOUIsFm/v\nk9gcIazpNo/MPp1rdLO8TqiKnKzRJQLSr5vuYKBLRET0DUsEdZ2JHtRxYxE6HrPr5kQx0CUiIvqG\nMahLx41F6HjMrpsTJXyNLhER0TctEdRt21MPIB7UjRiUJ3xQx7aWdCxHXzfdwUCXiIjoFDizrx9F\nuV40azr8TgVeNx/BADcWoWNLeRnqBl5lRMfBdkBE3cNrJxW7LhB1T+JlqDsY6BIdAx9MRN3DaydV\nYvV4QqLrQj9u0EP0jeJiNCILbAdkLZGp47kgM7x20rHrApE9hM/oclqNrCQeTJ1XfHIfdmbq6PgS\n145hAK1BDYgZkCQIfe2w6wKRPYQPdN/e8jUf1p2wpu4IPpjScfqVuiLgdaKpTUNNQxCqoiCq6yjO\n9Qp97bDrApE9hA90AT6sE5ipS8UHUzpmuelESEf9FyfX9/20x1ZaRKceA90Ooj+smakzxwdTKma5\nqSuaghoCPieyvQ5IsgwjFoMsSULfY4nIHgx0O4j+sGamzhp7PB7BLDd1ReKFSIYEj8eJ9nYNEiD0\nPRbgrBmRHRjogg9rgJk66jpmuc2xvv0IvhCl46wZkT2ED3Qnje3PBxP4YKITwyx3Kmbq0vGFKBVn\nzYjsIXygW5zPh3UCH0xEJ46ZOmt8ITqCs2Z0IjhD1HOED3QpFR9MRCeGmTrqCs6aUVdxhqhnMdAl\nIjoJzNRRV3HWjI6HM0Q9j1sAEx0Ht7ulY0lk6hJBiyJLGDk4n5k6MuVyKihm0EIWuFV0z2NGl+gY\nOIVEXcFMHRH1BM4Q9TxmdIksJKaQEm/XiSkkZnaJiOibwBminseMLpEFLjKyxhXBqZj5J+o+3k9S\ncYaoZzHQJbLAKSRzDOpScfEIUffxfmKOHZB6DksXiCxwCikdyznScfEIUffwfkKnAjO6RMfAKaRU\nLOdIx8w/UffwfkKnAjO6RMfBdkBHMKhLx8w/UffwfkKnAjO6RNRl3N3JHDP/RCeO9xM6FRjoEtEJ\nYVBnjotHiE4c7yf0TWPpAqXgLmDUFSznIKKewvsJfZOY0aUktnkhIiKiTMKMLgFgmxciIiLKPAx0\nCQB7gRIREVHmYaBLANjmhYiIiDIPA10CwF6gRERElHm4GI2S2OaFiIiIMgkzupSCbV6IiIgoUzDQ\nJSIiIqKMxECXiIiIiDISA10iIiIiykjCL0arrmvjwisiIiKiDCR8oPv2lq+53S0RERFRBmLpArjd\nLREREVEmYqDbgdvdEhEREWUWBroduN0tERERUWYRvkYXiAe5IwblcbtbIiIiogwifKA7aWx/dl0g\nIiIiykDCly5wu1siIiKizCR8oEtEREREmYmBLhERERFlJAa6RERERJSRGOgSERERUUZioEtERERE\nGYmBLhERERFlJAa6RERERJSRGOgSERERUUZioEtEREREGYmBLhERERFlJAa6RERERJSRGOgSERER\nUUY6rQLd559/HsOGDUNVVVXy2Pbt23HDDTdg7NixuOyyy/Dcc8/ZOEIiIiIi6i1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"text": [
"<matplotlib.figure.Figure at 0x2af20da86950>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FFT Topology Plots\n",
"1. Band Power difference<br>\n",
"Difference of band power between class and baseline inputs\n",
"2. Band Power KS Score<br>\n",
"Mean KS score of bands in electrodes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_scalp_grid_bands_mean(FFT_bands_diff,sensor_names,freq_bands)\n",
"plot.plot_scalp_grid_bands_mean(FFT_KS_bands,sensor_names,freq_bands,vmin=0.2,vmax=0.8,scale_per_row=False)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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Yks3Wzu3+rchwbA3ctFeAIIOGbmtrZRca1dXVmD59OmbNmoVHHnkEQVA69/+H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\nuvCM+K0fe8lHT+n1JHqns22dm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IIgyg4JDYIgCIIgCIIgyg4JDYIgCIIgCIIgyg4JDYIg\nCIIgCIIgyg4JDYIgCIIgCIIgyg4JDYIgCIIgCIIgyg4JDYIgCIIgCIIgyg4JDYIgCIIgCIIgyg4J\nDYIgCIIgCIIgys7/A56mKsfphUlxAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2af24ab814d0>"
]
},
{
"output_type": "display_data",
"png": 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tOf7Ijbj4G5+t9zIqBmlt6EJaa0wYY8ZklBmO1GTYVloM7mQcZJoc5JpsWLZI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\nJXH55jKjoQQQ41z4n8ixzaEfIJAfozDsyJS1iZLVWOv4YHdN07Bp0yY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"text": [
"<matplotlib.figure.Figure at 0x2af24ab81a10>"
]
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Phase Topology Plots\n",
"1. Variance phase in band\n",
"2. Band Phase KS Score"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot.plot_scalp_grid_bands_mean(Phase_bands_class,sensor_names,freq_bands,scale_per_row=True)\n",
"plot.plot_scalp_grid_bands_mean(Phase_KS_bands,sensor_names,freq_bands,vmin=0.2,vmax=0.8,scale_per_row=False)"
],
"language": "python",
"metadata": {
"scrolled": true
},
"outputs": [
{
"output_type": "display_data",
"png": 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ZVWRFv4MIbQWZkeTr0k5klDH0ifDx86blRYYLnamKjCJvw1qMVGSqRqrqHHrU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\nxZoIrqwiTmcIk5km/ZAfTHpZYgEyZDjpLeRTKpMK/cax32yf437S7Cj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