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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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"pygments_lexer": "ipython2",
"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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GFwAA4E/KGCPpSpbU1brXK8+rHVf6uV5Zfn3nZs2aNXrppZc0adIkValSpcCv\nvx4yuAAAAHYeBbwpzJ0CAgIcWdJsKSkpstls8vf3d6lutWrVFBAQIGOMkpKSdM899zjKz507J39/\nf126dOm6/fj7++coT05OVkBAQL59u+qzzz7T1KlTNWPGDDVq1Mjl17mKDC4AAMCfQGhoqI4fP+70\nVf+uXbtUpUoVFS9ePEfdq5fmysrK0t69e1WzZk2VK1dOfn5+TuX79+/XpUuXFBYWlm8/17YtXbkB\nrkaNGtftO7s8P6tXr9a0adM0f/78QgluJQJcAAAAB5unze2bq4KDgxUeHq4pU6YoNTVVBw8e1Ny5\nc9W1a1dJUps2bfTTTz9JkqKjo7V8+XLt3LlTFy9e1KxZs+Tt7a3mzZvLw8NDnTt31rvvvqsTJ04o\nKSlJU6dOVatWrRQQEJBvP1FRUUpMTNSSJUuUkZGhjRs3atOmTXriiSeu2/e1qybkNm0hNTVV//jH\nPzRp0iQFBgbeyClyCVMUAAAA7G73k8ymTZummJgYNW3aVD4+PoqOjlZ0dLSkKw9PSEtLkyQ1a9ZM\nQ4YM0aBBg3T27FmFhYVpzpw58vLykiS9+OKLSktL06OPPqrMzExFRERozJgxLvUTEBCg2bNn6/XX\nX9drr72msmXLatKkSapatapLfT/77LPasWOHsrKylJmZqfDwcNlsNn3wwQdKTExUcnKy+vbt6xhL\n9tzgnTt3uu04EuACAAD8SZQuXVpz5szJtSwuLs7p9y5duqhLly651i1atKhiYmIUExNT4H4kqW7d\nuvriiy/yLL9e3x988MF123300UfzLHcXAlwAAAC723mTGdyHswgAAABLIYMLAABgd7vn4MI9CHAB\nAADsPG7jk8zgPkxRAAAAgKWQwQUAALCzcZOZJXAWAQAAYClkcAEAAOw8uMnMEghwAQAA7FhFwRqY\nogAAAABLIYMLAABgx01m1sBZBAAAgKWQwQUAALDjJjNrIMAFAACws/EkM0tgigIAAAAshQwuAACA\nnQc3mVkCAS4AAIAd6+BaA/9MAQAAgKWQwQUAALBjHVxr4CwCAADAUsjgAgAA2Nk8yP1ZAQEuAACA\nHasoWANnEQAAAJZCBhcAAMCOm8ysgbMIAAAASyGDCwAAYEcG1xoIcAEAAOxYRcEaOIsAAACwFDK4\nAAAAdjZPz9s9BLgBGVwAAABYChlcAAAAO24yswYCXAAAADsPbjKzBM4iAAAALIUMLgAAgB1TFKyB\nswgAAABo1FD9AAAgAElEQVRLIYMLAABgRwbXGghwAQAA7HiSmTVwFgEAAGApZHABAADsmKJgDZxF\nAAAAWAoZXAAAADsyuNZAgAsAAGDnQYBrCZxFAAAAWAoZXAAAADuWCbMGziIAAAAshQwuAACAHTeZ\nWQMBLgAAgB0BrjVwFgEAAGApZHABAADsuMnMGjiLAAAAsBQyuAAAAHYenp63ewhwAwJcAAAAO24y\nswbOIgAAACyFDC4AAIAdGVxr4CwCAADAUsjgAgAA2LFMmDUQ4AIAANgxRcEaOIsAAACwFDK4AAAA\ndmRwrYGzCAAAAEshgwsAAGDHTWbWQIALAABgZ/PgUb1WwD9TAAAAYClkcAEAALKRwbUEMrgAAAB/\nEomJierdu7caNGigyMhITZ48Oc+68+fPV5s2bVSvXj1169ZNe/bscZRlZGRo9OjRat68uRo3bqyB\nAwcqOTnZ5X62bdumTp06qU6dOmrXrp1WrFjhtr4l6d1331XTpk1Vq1Yt9ezZU4mJiTd0vPJCgAsA\nAJDNw8P9WwEMGDBAZcqU0fr16zV37lytXbtWc+fOzVFv/fr1mjlzpiZNmqQtW7aoefPm6t27ty5e\nvChJmjp1quLi4rRo0SKtXr1axhiNGDHCpX5OnTqlvn37qmvXrtq2bZtGjhypmJgYRxB7s30vXLhQ\nX331lRYuXKjNmzerSpUqub7Hm0GACwAAYGfz9HT75qrY2Fjt379fw4YNU4kSJVS+fHn16NFDixYt\nylF30aJF6tChg8LCwuTl5aVevXrJZrNp/fr1ysrK0ueff65+/fqpdOnS8vX11aBBg/Ttt9/q9OnT\n+fazYsUKVapUSe3bt5eXl5caNWqkyMhILV68+Kb7lqSPPvpIgwcPVoUKFVSiRAm98soreuWVV9xw\n9v4PAS4AAMCfwN69e1W2bFn5+Pg49oWEhOjw4cO6cOGCU93du3crJCTE8bvNZlNwcLBiY2MVHx+v\n8+fPKzg42FFeuXJlFStWTHv27Mm3n71796p69epO/YWEhCg2Nvam+z558qSOHTum5ORktW3bVg0a\nNNCLL76os2fP3uTRc0aACwAAkM3D0/2bi5KTk+Xr6+u0r2TJko6y/Or6+fkpOTlZycnJstls8vPz\ncyr39fVVUlJSvv3k1XZSUtJN933y5ElJ0r///W/NmzdPX375pU6ePKnRo0df/+AUEAEuAADAn5Qx\nRtKVLKmrda9Xnlc7rvRzvTJX+86u99xzz+muu+5S6dKlNWDAAK1fv14ZGRnXbaMgCHABAACy3cYM\nbkBAgCNLmi0lJUU2m03+/v4u1Q0ICFBAQICMMTnKz507J39//3z78ff3z1GenJysgICAm+77rrvu\nkiTdeeedjrKyZcvKGOPWaQoEuAAAAHY2Dw+3b64KDQ3V8ePHnaYj7Nq1S1WqVFHx4sVz1L16aa6s\nrCzt3btXNWvWVLly5eTn5+dUvn//fl26dElhYWH59nNt29KVG+Bq1Khx032XKVNGPj4+iouLc5Qf\nO3ZMRYoU0d/+9jeXj1V+CHABAAD+BIKDgxUeHq4pU6YoNTVVBw8e1Ny5c9W1a1dJUps2bfTTTz9J\nkqKjo7V8+XLt3LlTFy9e1KxZs+Tt7a3mzZvLw8NDnTt31rvvvqsTJ04oKSlJU6dOVatWrRQQEJBv\nP1FRUUpMTNSSJUuUkZGhjRs3atOmTXriiSduum9PT089/vjjmj17to4eParff/9ds2bN0qOPPiqP\nAi6pdj08yQwAACDbbX6S2bRp0xQTE6OmTZvKx8dH0dHRio6OliTFx8crLS1NktSsWTMNGTJEgwYN\n0tmzZxUWFqY5c+bIy8tLkvTiiy8qLS1Njz76qDIzMxUREaExY8a41E9AQIBmz56t119/Xa+99prK\nli2rSZMmqWrVqm7pe8iQIbp06ZI6deqky5cvq3Xr1m5fJowAFwAA4E+idOnSmjNnTq5lV3+tL0ld\nunRRly5dcq1btGhRxcTEKCYmpsD9SFLdunX1xRdf5Fl+M317eXldt9wdCHABAACy3eYMLtyDABcA\nAMCuIDeF4c+LswgAAABLIYMLAACQjSkKlkAGFwAAAJZCBhcAACAbGVxLIMAFAACws3kS4FoBUxQA\nAABgKWRwAQAAsrFMmCVwFgEAAGApZHABAACycZOZJRDgAgAA2NkIcC2BKQoAAACwFDK4AAAA2bjJ\nzBI4iwAAALAUMrgAAAB2zMG1BgJcAACAbAS4lsAUBQAAAFgKGVwAAIBs3GRmCZxFAAAAWAoZXAAA\nADubJ3NwrYAAFwAAIBs3mVkCUxQAAABgKWRwAQAAspHBtQSXMrgHDhxw/Lx///5CGwwAAABws1wK\ncB9//HFlZmZKkjp16lSoAwIAALhdbB4ebt9w67k0ReFvf/ubOnfurIoVK+rSpUsaOnRonnWnTJni\ntsEBAADcUkxRsASXAtwJEyboww8/1OnTp2WM0alTpwp7XAAAAMANcSnArVWrlqZPny5JatOmjRYs\nWFCogwIAALgtbEwpsAKXzmLz5s0dP6emphbaYAAAAICb5VIG99KlSxo3bpyqVKmi5ORkLVq0SMaY\nXOs+8cQTbh0gAADALUMG1xJcCnD79++vadOmKSUlRTabTaNHj861ns1mI8AFAAB/WYYA1xJcCnC7\ndu2qrl27SpLCw8O1a9euQh0UAAAAcKMK/CSz1atXF8Y4AAAAbj8yuJbgUoA7fPhwvfnmm5LyX+eW\ndXABAABwO7kU4J4+fdrxM2vgAgAAy7LZbvcI4AYuBbgffPCB42fWwAUAAJbFo3UtocBzcC9cuKCN\nGzfqyJEjKlKkiKpWraomTZrIy8urMMYHAAAAFEiBAtzvvvtOL730klJSUlSqVCldunRJKSkpKl26\ntCZPnqx69eoV1jgBAAAKHcuEWYPLZzE+Pl4DBgxQ+/bttWXLFm3evFnff/+91q5dq2bNmun555/X\nkSNHCnGoAAAAQP5cDnDnzZunxx57TC+//LICAgIc+8uVK6fXX39dbdu21Zw5cwplkAAAALeEzcP9\nG245l4/69u3bFR0dnWd5r169tHXrVrcMCgAA4LYgwLUEl4/6b7/9pooVK+ZZXrFiRZ09e9YdYwIA\nAABumMs3mWVlZalYsWLXrWNj7TgAAPBXRsbVEjiLAAAAsBSXM7jp6elq2rTpdetkZGTc9IAAAABu\nF5YJswaXA9z+/fsX5jgAAABuPwJcSyDABQAAgKUU+FG9AAAAlsUN85ZAHh4AAACWQgYXAAAgG3Nw\nLYEAFwAAwI5VFKyBswgAAABLKXAGd8+ePXr11Vf166+/Kj09PUd5XFycWwYGAABwy3mQ+7OCAge4\nMTExKlasmF588UXdcccdhTEmAAAA4IYVOMA9dOiQtmzZohIlShTGeAAAAG4f5uBaQoED3LJly8oY\nUxhjAQAAuL0IcC2hwGdxyJAhGj9+vFJTUwtjPAAAAMBNKXAGd+bMmTp27JiWLVsmf39/2a554sfm\nzZvdNjgAAIBbigyuJRQ4wI2MjCyMcQAAAABuUeAAt3///oUxDgAAgNuOBz1Yww09yWz58uVatmyZ\nEhISZLPZVLFiRXXp0kUtW7Z09/gAAABuHQJcSyjwWVywYIFeeeUV+fj46JFHHtHDDz+sIkWKaODA\ngVqzZk1hjBEAAABwWYEzuB9//LHeeeedHHNxV69erdmzZ6tVq1ZuGxwAAMAtdc3N8/hrKnAG9+TJ\nk2rRokWO/S1bttTRo0fdMSYAAID/SYmJierdu7caNGigyMhITZ48Oc+68+fPV5s2bVSvXj1169ZN\ne/bscZRlZGRo9OjRat68uRo3bqyBAwcqOTnZ5X62bdumTp06qU6dOmrXrp1WrFhxy/p2hwIHuHff\nfbeOHDmSY39CQoJ8fX3dMSYAAIDbw+bh/q0ABgwYoDJlymj9+vWaO3eu1q5dq7lz5+aot379es2c\nOVOTJk3Sli1b1Lx5c/Xu3VsXL16UJE2dOlVxcXFatGiRVq9eLWOMRowY4VI/p06dUt++fdW1a1dt\n27ZNI0eOVExMjCOILcy+3aXAAW5kZKT69++vlStXav/+/dq/f79WrFihvn37qmnTpm4dHAAAwK1k\nbB5u31wVGxur/fv3a9iwYSpRooTKly+vHj16aNGiRTnqLlq0SB06dFBYWJi8vLzUq1cv2Ww2rV+/\nXllZWfr888/Vr18/lS5dWr6+vho0aJC+/fZbnT59Ot9+VqxYoUqVKql9+/by8vJSo0aNFBkZqcWL\nFxd63+5S4Dm4gwcPVkpKioYNGyZjjIwxstlsatOmjYYPH37DA7lw4YKSk5Nls9nk7++v4sWL33Bb\nAAAAfzV79+5V2bJl5ePj49gXEhKiw4cP68KFCypRooRj/+7du9W2bVvH7zabTcHBwYqNjVVwcLDO\nnz+v4OBgR3nlypVVrFgx7dmzRydPnrxuP3v37lX16tWdxhYSEqKvv/660Pu++j3ejAIHuMWKFdOb\nb76pUaNG6dixY0pPT1f58uXl7+9/QwOYO3euFi1apMOHDzv22Ww2ValSRV27dlV0dPQNtQsAAFBg\nt3GZsOTk5BzTPUuWLOkouzr4y62un5+fkpOTHQlDPz8/p3JfX18lJSXl209ycrLKlCmTo+2kpKRC\n7/uWBrjx8fGqUKGCJDkFot7e3vL29na8IUmqVKmSy51PnjxZa9euVY8ePRQSEqKSJUvKGKOUlBTt\n2rVLH3zwgc6ePat+/foV5D0BAABYgjFG0pXkn6t1r1eeVzuu9HO9ssLuu6BcCnCjoqK0c+dOSdJD\nDz2U6wCyBx4XF+dy56tWrdLcuXNVvnz5HGXh4eFq1KiRnn76aQJcAABwS5jbuExYQECAI0uaLSUl\nxTF905W61apVU0BAgIwxSkpK0j333OMoP3funPz9/XXp0qXr9uPv75+jPDk5WQEBAYXet7u4FOB+\n8MEHjp/nz5/vts4vXLigUqVK5VleunRppaamuq0/AACA68knEVmoQkNDdfz4cSUnJzu+tt+1a5eq\nVKmS496k0NBQ7dmzR4899pgkKSsrS3v37lXnzp1Vrlw5+fn5ac+ePY4gc//+/bp06ZLCwsJ08uTJ\n6/YTGhqqZcuWOfUXGxurGjVqFHrf7uLSRJO6des6ft6+fbvq16+fY6tevbr+/e9/F6jzmjVrauLE\nibkGscnJyZowYYLq169foDYBAAD+ioKDgxUeHq4pU6YoNTVVBw8e1Ny5c9W1a1dJUps2bfTTTz9J\nkqKjo7V8+XLt3LlTFy9e1KxZs+Tt7a3mzZvLw8NDnTt31rvvvqsTJ04oKSlJU6dOVatWrRQQEJBv\nP1FRUUpMTNSSJUuUkZGhjRs3atOmTXriiScKvW93cfkms6ysLF2+fFkffPCBXnjhhRxzLeLj47Vo\n0SLFxMS43Pno0aM1YMAANWzYUGXLlnVMOk5KStLx48cVHh6uadOmudweAADAzci6nSlcSdOmTVNM\nTIyaNm0qHx8fRUdHO264j4+PV1pamiSpWbNmGjJkiAYNGqSzZ88qLCxMc+bMkZeXlyTpxRdfVFpa\nmh599FFlZmYqIiJCY8aMcamfgIAAzZ49W6+//rpee+01lS1bVpMmTVLVqlULvW93cTnAnTNnjt5+\n+23ZbDaFh4fnWufqJSFcUbZsWS1dulSxsbHau3ev40a1gIAAhYaGFrg9AACAv7LSpUtrzpw5uZZd\ne59Tly5d1KVLl1zrFi1aVDExMXkmHq/Xj3Tl2/svvvgiz/LC7NsdXA5w+/Tpo4iICHXs2FFjx47N\nUV68eHE1btz4hgYRFhamsLCwG3otAACAu9ze/C3cpUDr4AYGBmr69OmKiIjItXzx4sXq1KmTWwYG\nAABwq2UR4VpCgR/0EBERoZSUFO3fv1/p6emO/b/99ptef/11AlwAAADcVgUOcLds2aL+/fvrjz/+\nkM1mc1q49+rHtgEAAPzV5PfAAvw1FPh5dFOnTtVTTz2lVatWqUiRIlq7dq0mTJigyMhIjRo1qjDG\nCAAAALiswBncI0eO6LPPPlORIkVks9lUrlw5lStXTv7+/ho9erTeeeedwhgnAABAoWMOrjUUOINr\ns9l0+fJlSVKxYsUcj1tr2LChtm3b5t7RAQAA3EKmEDbcegUOcOvWrauXX35Zf/zxhwIDA/Xuu+/q\n7NmzWrdunYoWLVoYYwQAAABcVuAAd/jw4Tp06JAkqW/fvvr000/VpEkTDR482O2PWQMAALiVsoz7\nN9x6BZ6DW7FiRa1YsUKS1KhRI3311VfavXu3ypcvr9DQULcPEAAAACiIAge43bp1U8eOHdW6dWvd\ncccdKl++vMqXL18YYwMAALilWCbMGgo8RaF06dJ67bXX1KRJE40YMUI7duwojHEBAADcclmFsOHW\nK3AGd8qUKfrjjz+0du1affXVV+rRo4fKlCmjxx57TO3bt1fZsmULY5wAAACASwoc4EpS8eLFFRUV\npaioKCUlJWnNmjVavny53n33Xe3Zs8fdYwQAALglmKFgDQWeonC18+fPa8OGDfrmm2+0e/duVa5c\n2V3jAgAAAG5IgTO4Fy5c0Lp167Rq1Spt2bJFvr6+atu2rQYPHqyQkJDCGCMAAMAtwbJe1lDgALdR\no0ay2WyKiIjQ9OnT1axZM3l6ehbG2AAAAG4pVlGwhgIHuKNGjdLDDz8sHx+fwhgPAAAAcFNcCnCX\nLFmixx9/XNKVf9msXLky13o2m02dO3d23+gAAABuIZb1sgaXAtzXXnvNEeCOGTMmz3oEuAAAALjd\nXApwd+3a5fh53759hTYYAACA24kpuNZQ4GXCunfvnuv+8+fPKyoq6qYHBAAAcLtkGeP2DbeeyzeZ\nJSQkKD4+Xj///LO2bNmS4y7DQ4cO6ciRI+4eHwAAAFAgLge4//3vfzV+/HhdvnxZzz77bK51Hn30\nUbcNDAAA4FYj32oNLge4UVFRateuncLDw7V69eoc5cWLF1dAQIBbBwcAAAAUVIHWwbXZbNq2bZuK\nFCmijIwM+fr6SpJOnjwpb2/vQhkgAADArcKTzKyhwDeZJSYmqmXLltq8ebNj38qVK9W6dWv98ssv\nbh0cAADArWSM+zfcegUOcCdMmKCHHnpI999/v2Pfk08+qY4dO2r8+PFuHRwAAABQUAV+VG9sbKze\ne+89FS1a1LHP29tb/fr1U+PGjd06OAAAgFspi9vMLKHAGVxvb2+dPXs2x/7ffvtNnp6ebhkUAAAA\ncKMKnMFt1aqV+vXrpz59+ujee++VJB04cECzZ89Wu3bt3D5AAACAW4U5s9ZQ4AB32LBhiomJ0cCB\nA5WVlSVjjIoUKaJHHnlEL730UmGMEQAA4JZgFQVrKHCAW7x4cU2ePFmjRo3SsWPH5OnpqXLlysnH\nx0eZmZmFMUYAAADAZQWeg5utZMmSCg0NVXBwsP744w/NmDFDLVq0cOPQAAAAbi2WCbOGAmdwr/af\n//xHCxcu1Jo1a+Tr66tOnTq5a1wAAADADSlwgJuenq4vv/xSCxcu1L59+2Sz2RQTE6PHH39cXl5e\nhTFGAACAW4JlwqzB5SkKCQkJmjBhgu6//35NnjxZ9evX11dffSUfHx+1aNGC4BYAAPzlMUXBGlzO\n4LZp00YNGzbUqFGj1Lp1awJaAAAA/Cm5nMG966679Ouvv2rv3r06duxYYY4JAADgtsgyxu0bbj2X\nM7jr16/XmjVrtHDhQn300UeqV6+eOnXqJMOJAwAAwJ+IyxlcT09PPfTQQ/r444+1bNky3XvvvYqJ\niVFqaqr++c9/KiEhoTDHCQAAUOgys9y/4da7oXVwg4ODNX78eG3cuFGDBw/Whg0b1Lp1a/Xp08fd\n4wMAALhlmKJgDTf8oAfpysMeevfurXXr1mnq1Km6cOGCu8YFAAAA3JCbetBDNg8PD7Vp00Zt2rRx\nR3MAAAC3RSYZV0u4qQwuAAAA8GfjlgwuAACAFTBn1hoIcAEAAOxY9cAamKIAAAAASyGDCwAAYMcU\nBWsggwsAAABLIYMLAABgxzJh1kCACwAAYJdFfGsJTFEAAACApZDBBQAAsMskhWsJZHABAABgKWRw\nAQAA7FgmzBoIcAEAAOwyiW8tgSkKAAAAsBQyuAAAAHZMUbAGMrgAAACwFDK4AAAAdiwTZg0EuAAA\nAHZMUbAGpigAAADAUsjgAgAA2LFMmDWQwQUAAPgLOHfunAYNGqQmTZqoWbNmGjVqlDIyMvKsv2rV\nKkVFRal27drq2LGjtmzZ4lT+1ltvqWXLlmrQoIGee+45JSQkuNzXvn371L17d9WtW1etW7fWRx99\n5La+JWnx4sV64IEHVLNmTXXp0kX79u0r0LEiwAUAALDLMsbtm7u88sorunjxolatWqWlS5fq4MGD\nmjRpUq514+LiNHz4cA0bNkzbt2/XM888o/79++vkyZOSpAULFmjlypV6//33tWHDBlWoUEH9+/e/\nbl8TJ06UJKWnp6t3795q1KiRNm/erLfeekvvvfeevvnmG7f0/e2332r69OmaNm2atm/froiICM2a\nNatAx4oAFwAAwC4ry7h9c4fff/9d69at09ChQ+Xn56e7775bffv21dKlS5WZmZmj/pIlS9SiRQs1\na9ZMXl5eateunapVq6Yvv/xSkrRo0SL16NFDlSpV0h133KHBgwfr4MGD2rVrV559LVu2TJmZmdqw\nYYMuX76sF154QcWKFVNISIg6deqkzz777Kb7lqQPP/xQPXv2VGhoqIoVK6bevXvrnXfeKdDxIsAF\nAAD4k4uLi5Onp6eqVq3q2Fe9enVduHBBhw4dylF/z549CgkJcdoXEhKi2NhYpaen68CBAwoODnaU\nlShRQhUqVFBsbGyefaWlpenQoUPau3evAgMDZbPZcrR9s31nZWVp586d8vDwUMeOHVWvXj09++yz\nOaYw5IcAFwAAwC7TuH9zh+TkZN15551O+/z8/CRJSUlJOeonJSXJ19c3R/2kpCSlpKTIGON4/bXl\nefVljHGUX9t2yZIllZKSctN9JyUlKT09XcuXL9dbb72lb775Rt7e3ho4cGB+h8gJAS4AAMCfwJdf\nfqmgoCAFBwc7tuzfExMT83zd1ZnU6zHGXLeucWG+cF6vd6VtV/rO/m+3bt1Uvnx5+fn5adiwYdq7\nd6/i4+PzHV82lgkDAACwu50PeoiKilJUVFSuZVu3btW5c+ecAsXk5GRJUkBAQI76AQEBOTK7KSkp\nCggIUMmSJeXh4ZFneUBAQK592Ww2BQQEyN/fP0ewmZycrJIlS7qlb09PT6cMctmyZSVJp0+fVoUK\nFXI9PtcigwsAAGCXaYzbN3fInrN69XJZu3btkp+fnypVqpSjfmhoqPbs2eO0LzY2VjVr1pSXl5eq\nVq2q3bt3O8rOnTuno0ePqmbNmnn25evrq0qVKiksLEz79u1TVlaWU9vh4eE33beHh4cqVqyouLg4\nR/mxY8dks9kcga4rCHABAAD+5Pz9/dW6dWu9/fbbSkpK0okTJzRr1ix16tRJHh5XwrlnnnlGX3/9\ntSSpc+fO2rp1qzZu3KiMjAwtWbJE8fHxateunSQpOjpa8+fP18GDB5WamqrJkycrJCREISEh+fZ1\n//33y8fHR7NmzdLFixe1c+dOff755+ratetN9y1JXbp00cKFCxUbG6vU1FS99dZbatiwoe655x6X\njxdTFAAAAOzctaxXYfjHP/6hMWPG6IEHHlDRokXVrl07DRo0yFGekJCgc+fOSZKqVq2qyZMna9y4\ncfrtt99033336b333lOpUqUkXQkiz5w5o6eeekppaWlq0KCBpk+f7lJfXl5eeu+99zR69GjNmTNH\nd911l4YOHar777/fLX13795dKSkpeuGFF3ThwgU1btxYU6ZMKdCxIsAFAAD4C/Dx8bluoLdu3Tqn\n31u2bKmWLVvmWb9///5OD1goSF/33XefPvnkkzzLb6ZvV8rzQ4ALAABg565lvXB7EeACAADY3c5V\nFOA+3GQGAAAASyGDCwAAYOeuZb1we5HBBQAAgKWQwQUAALDL/BMvEwbXEeACAADYEeBaA1MUAAAA\nYClkcAEAAOzI4FoDGVwAAABYChlcAAAAOzK41kCACwAAYEeAaw1MUQAAAIClkMEFAACwI4NrDWRw\nAQAAYClkcAEAAOzI4FoDAS4AAIAdAa41MEUBAAAAlkIGFwAAwI4MrjWQwQUAAIClkMEFAACwI4Nr\nDQS4AAAAdpcJcC2BKQoAAACwFDK4AAAAdkxRsAYyuAAAALAUMrgAAAB2ZHCtgQAXAADALtMQ4FoB\nUxQAAABgKWRwAQAA7JiiYA1kcAEAAGApZHABAADsyOBaAwEuAACAHQGuNTBFAQAAAJZCBhcAAMAu\nMyvrdg8BbkAGFwAAAJZCBhcAAMCOObjWQIALAABgR4BrDUxRAAAAgKWQwQUAALC7TAbXEsjgAgAA\nwFLI4AIAANgxB9caCHABAADsCHCtgSkKAAAAsBQyuAAAAHZkcK2BDC4AAAAshQwuAACAHRlcayDA\nBQAAsCPAtQamKAAAAMBSyOACAADYGTK4lkAGFwAAAJZCBhcAAMAuiwyuJRDgAgAA2BlDgGsFTFEA\nAACApZDBBQAAsOMmM2sggwsAAABLIYMLAABgx01m1kCACwAAYGeybvcI4A5MUQAAAIClkMEFAACw\nY5kwayCDCwAAAEshgwsAAGDHTWbWQIALAABgxzq41sAUBQAAAFgKGVwAAAA7MrjWQAYXAAAAlkKA\nCwAAYJdljNs3dzl37pwGDRqkJk2aqFmzZho1apQyMjLyrL9q1SpFRUWpdu3a6tixo7Zs2eJU/tZb\nb6lly5Zq0KCBnnvuOSUkJLjc1759+9S9e3fVrVtXrVu31kcffVSgvs+cOaOePXsqKCgox3s4fvy4\n+vfvrwYNGqhp06YaMWKEUlNTC3SsCHABAADsTJZx++Yur7zyii5evKhVq1Zp6dKlOnjwoCZNmpRr\n3SJeAbUAAB5eSURBVLi4OA0fPlzDhg3T9u3b9cwzz6h///46efKkJGnBggVauXKl3n//fW3YsEEV\nKlRQ//79r9vXxIkTJUnp6enq3bu3GjVqpM2b/397dx9X8/3/D/xxSmmkCJ/QxsxFFyqVKBPRKAxx\nS7n4rI+VfTZhFyFzsZomVx+15mKu9jGzDZXLMsr11YyZ+Op0NVbGFJpUJDldvH5/qPPT6HR6n4zP\n2+N+u7m5nfc578f79T6d9/s8e57X+/QjoqOjsXbtWhw8eFCrbV+8eBG+vr5o2bIlFArFY2OfNGkS\nTE1NcezYMWzfvh2XLl3CkiVL6vVcscAlIiIies7l5+fj0KFDmD59OkxNTdG6dWtMnjwZO3bsQEVF\nxWOP37ZtG/r374++ffvC0NAQw4cPR9euXZGQkAAAiIuLQ0BAADp27IgmTZogODgYWVlZSElJqXVb\nO3fuREVFBY4cOYLy8nIEBQXByMgINjY28PX1RWxsrFbbzs/PR3R0NHx9fR8b9927d2FnZ4fp06fD\nyMgI5ubmGDVqFH755Zd6PV8scImIiIiqPK8d3IyMDOjr66NLly7qZd26dcO9e/eQnZ392OPT0tJg\nY2NTY5mNjQ2USiUePHiA3377DdbW1ur7mjZtig4dOkCpVNa6rZKSEmRnZyM9PR2WlpY1uq/V2XVt\nGwB69+4NBweHJ+5ns2bNsGDBApiZmamX5ebmwtzcvM7n6FEscImIiIiec4WFhWjWrFmNZaampgCA\ngoKCxx5fUFAAExOTxx5fUFCAoqIiCCHU6//1/tq2JYRQ3//X7ObNm6OoqKjObdeXUqnEpk2bEBQU\nVK/1+DVhRERERFWe5V8yS0hIwMyZM2t0RoUQUCgU+Oijj2pd70nzWJ+kOkvT/XWpbX1tsrUdZ7Xk\n5GRMnjwZISEhcHV1rde6LHCJiIiIqmhT5D0tI0aMwIgRI554308//YQ7d+7UKBQLCwsBoMbH+dXM\nzMwe65gWFRXBzMwMzZs3h56eXq33m5mZPXFbCoUCZmZmaNGiBa5cuVJj3cLCQjRv3rzObWvryJEj\nCAkJQVhYWK3PiSacokBERET0nKueL5uZmalelpKSAlNTU3Ts2PGxx9va2iItLa3GMqVSCQcHBxga\nGqJLly5ITU1V33fnzh1cvXoVDg4OtW7LxMQEHTt2hJ2dHTIzM1FZWVkj297eXuO2u3fvrtW+njt3\nDrNmzcKKFSskFbcAC1wiIiIiNVHZ8P8aQosWLeDl5YUvvvgCBQUFuHHjBlatWgVfX1/o6T0s595+\n+20kJiYCAPz8/PDTTz/h2LFjUKlU2LZtG65cuYLhw4cDAMaNG4dvv/0WWVlZKC4uRmRkJGxsbGBj\nY1Pntvr16wdjY2OsWrUKpaWluHDhArZv347x48dr3PZfi9UndcsrKioQGhqKGTNmoHfv3pKfL05R\nICIiIvofEB4ejk8//RRvvPEGDAwMMHz48Bpzc//44w/cuXMHANClSxdERkZi4cKFuH79Ojp37oy1\na9eiZcuWAICxY8fi1q1b+Ne//oWSkhK4uLhgxYoVWm3L0NAQa9euRVhYGNatW4dWrVph+vTp6Nev\nn1bbDg0NRXx8vLrAdXZ2hkKhwPz589GuXTtkZ2cjIiIC8+fPh0KhUE+VSEpKQtu2bbV6rljgEhER\nEVV5lheZ1cXY2BhRUVG13n/o0KEatwcOHIiBAwfW+vipU6fW+OMO9dlW586dsXnz5lrv17Tt+fPn\nY/78+bWum5GRUet92mKBS0RERFSlIf/yGD07nINLRERERLLCDi4RERFRFXZw5YEdXCIiIiKSFXZw\niYiIiKpUPsM/9EANhwUuERERURVOUZAHTlEgIiIiIllhB5eIiIioCju48sAOLhERERHJCju4RERE\nRFWe579kRtpjgUtERERURfBbFGSBUxSIiIiISFbYwSUiIiKqwovM5IEdXCIiIiKSFXZwiYiIiKrw\nIjN5YIFLREREVEVUVjzrIVAD4BQFIiIiIpIVdnCJiIiIqrCDKw/s4BIRERGRrLCDS0RERFSFHVx5\nYIFLREREVEVUsMCVA05RICIiIiJZYQeXiIiIqAqnKMgDO7hEREREJCvs4BIRERFVYQdXHljgEhER\nEVVhgSsPnKJARERERLLCDi4RERFRFXZw5YEdXCIiIiKSFXZwiYiIiKqwgysPLHCJiIiIqlSywJUF\nTlEgIiIiIllhB5eIiIioCqcoyAM7uEREREQkK+zgEhEREVVhB1ceWOASERERVREVLHDlgFMUiIiI\niEhW2MElIiIiqsIpCvLADi4RERERyQo7uERERERV2MGVBxa4RERERFVY4MoDpygQERERkaywg0tE\nRERURVRWPushUANgB5eIiIiIZIUdXCIiIqIqnIMrDyxwiYiIiKqwwJUHTlEgIiIiIllhB5eIiIio\nSiU7uLLADi4RERERyQo7uERERERVRAU7uHLAApeIiIioCi8ykwdOUSAiIiIiWWEHl4iIiKgKO7jy\nwA4uEREREckKO7hEREREVdjBlQeFEEI860EQERERPQ8MHQMbPFN1/usGzyTNWOASERERkaxwDi4R\nERERyQoLXCIiIiKSFRa4RERERCQrLHCJiIiISFZY4BIRERGRrLDAJSIiIiJZYYFLRERERLLCApeI\niIiIZIUFLhERERHJCgtcIiIiIpIVFrhEREREJCsvbIGbk5OD9957Dy4uLvDw8EBkZKTOmSdOnECf\nPn0wffp0nbNyc3MxdepUuLi4wM3NDbNnz0ZxcbHkvMzMTLz99ttwdnaGm5sbgoODcevWLZ3HuXDh\nQlhZWemUYWVlBXt7e3Tv3l39f0REhM5jW716Ndzc3ODo6IjAwEDk5OTUO+Ps2bPqMVX/s7Ozg7W1\nteRxZWZmYsKECejZsyfc3NwQEhKC27dvS85TKpWYMGECnJ2d4e7ujq+//rpe62t63e7duxcjRoyA\nk5MTfHx8cPLkSZ3yysvLsWTJElhbW+PHH3/UeXz79++Ht7c3HB0dMWTIEGzdulWnvE2bNsHLywuO\njo7w8vLS6rnU5rgvKSmBu7s7Zs+eLSlr586dsLa2Vr8Gq1+TSqVS8tjy8vIwefJkODo6ws3NDdHR\n0RqzNOWFhoY+dpx069YNc+bMkTy+6p+Fk5MThgwZgu+//17y+ABg48aNGDx4MBwdHeHr64u0tDSN\nWZrOwRkZGfD394ezszO8vLywYcOGOsf2pLy7d++q79+1axecnJzw+eef15lV1/gyMzMREBCAnj17\non///li4cCHKy8sl550+fRpjxoyBo6Mj3N3dERYWhpKSEsl5j5oyZQo8PDy02meiehEvqFGjRomw\nsDBRXFwsrly5Ijw9PcWGDRsk53311Vdi8ODBYvz48WLatGk6j2/48OFizpw54v79++LGjRvCx8dH\nfPLJJ5KyHjx4IF5//XWxevVqoVKpxO3bt8Vbb70lpk6dqtMY09PTRa9evYSVlZVOOVZWViI3N1en\njL/6/vvvxdChQ8Xvv/8uiouLRUREhIiIiGiQ7DVr1kj+GVdUVAg3NzcRHR0tysrKRGFhoQgMDBQf\nfvihpLyioiLh6uoqPv/8c1FaWiouXbokPDw8RFJSklbra3rdpqenCzs7O3H8+HHx4MEDkZCQIBwc\nHMSNGzck5ZWUlAhfX18xe/ZsYWVlJU6cOKHT+C5cuCDs7e3F4cOHRUVFhTh69Kjo1q2bSE5OlpR3\n4MAB4eLiIpRKpRBCiF9++UXY29uLQ4cOScp71KJFi0TPnj3FrFmzJGXt2LFD+Pv717qulLH5+vqK\nhQsXipKSEnH58mXh6+srTp8+LTnvUeXl5WLYsGHi+PHjkvKOHj0qHBwcREpKihDi4c/awcFBHD16\nVFLezp07RY8ePURycrJQqVQiNjZW9OnTR5SUlNSaV9s5uLS0VPTr1098+eWX4v79+yItLU24uLiI\nAwcOaHxONJ3TP/vsM+Hr6yuGDRsmoqKiNObUlXfv3j3Rp08f8cUXXwiVSiWys7OFh4eHWL16taS8\nvLw80b17d7Fz505RUVEhcnJyxNChQ8WiRYsk72+1w4cPC2dnZ+Hh4aHVPhPVxwvZwVUqlbh48SJC\nQkLQtGlTtG/fHgEBAYiLi5OcaWRkhK1bt6J9+/Y6j+/u3buws7PD9OnTYWRkBHNzc4waNQq//PKL\npLzS0lIEBwfj3XffhYGBAVq0aAFPT09cvHhR8hiFEJg3bx4CAwMlZzyaJYTQOedRGzZsQHBwMDp0\n6ICmTZti7ty5mDt3rs65ubm5+OabbzBz5kxJ6+fl5eHPP//EiBEj0KhRI5iammLQoEHIyMiQlHf+\n/HmUlJQgODgYjRs3RufOnTFx4kStOpmA5tfttm3b0L9/f/Tt2xeGhoYYPnw4unbtioSEBEl5JSUl\nGD16NBYuXKj1z1tTXlFRESZNmoQBAwZAT08P7u7usLS0xNmzZyXltWnTBtHR0bC1tQUAODs7o1On\nTrh06ZKkvGqZmZnYs2cPRo0apWlXG/QcUlfemTNn8McffyAkJAQvvfQSXn31VcTFxcHFxaVBxvfN\nN9/AwsICffv2lZSXlpaGrl27ws7ODgBgb2+Prl27ajxONOUdOXIEQ4YMgZOTEwwMDODn54e2bdvi\nyJEjT8zSdA4+evQoysvLERQUBCMjI9jY2MDX1xexsbG1jq2uc3rbtm2xefNmNG/evNYMbfPy8/Ph\n7u6OqVOnwsDAAB07doSnp6fG9w9NeZWVlZg/fz5GjhwJPT09tGvXDn379tV4XGjzHlZaWoqIiAhM\nnDhRq30mqq8XssBNT0+HhYUFjI2N1ctsbGxw+fJl3Lt3T1LmW2+9VSNPF82aNcOCBQtgZmamXpab\nmwtzc3NJeSYmJhg9ejT09B7+uLOzs7Fz504MGzZM8hi3bNmCxo0b65TxqMjISAwYMAC9evXS6uMv\nTW7evIlr166hsLAQb775JlxcXPDBBx/oNA2g2vLlyzF69GjJPwtzc3PY2NggLi4OJSUlyM/Px759\n+zBgwADJY1IoFDUKRhMTE2RmZmq1rqbXbVpaGmxsbGoss7Gx0fixuKa8li1bws/PT6txaZPXt29f\nBAUFqW9XVFTgzz//xD/+8Q9Jeba2tujduzeAh1MpEhMTce3aNY0fn2pz3M+bNw/Tpk1Ds2bNND6u\nrqwbN24gMDAQvXr1wqBBgzT+olFX3rlz52BpaYnPP/8crq6uGDRoUJ0fs2t7jrt79y7Wrl2LkJAQ\nyXlubm747bffcObMGZSVleH8+fPIzs7WWDDXNT6FQlHjtomJSa0F85POwdevX4e5uTnS0tJgaWlZ\nI6+u46Kuc/o777yDRo0a1bp+ffJeeeUVLFiwAPr6+ur7bty4ofGcpSnP3Nwcw4cPVy9PTU3F/v37\nMXToUMn7CwArVqxAr1694OTkpPV+E9XHC1ngFhYWwsTEpMay6t+cCwsLn8WQNFIqldi0aVONN3Mp\ncnNzYWtri2HDhsHe3h5Tp06VlHPr1i2sXLkS8+bN02k81RwcHNCnTx/s378fMTEx+L//+z989tln\nkvNu3rwJANi3bx82btyIhIQE3Lx5E2FhYTqN89q1azhw4ADefvttyRkKhQLLli3DwYMH0aNHD7i5\nuaGyshLTpk2TlOfo6AgjIyN88cUXKC0txdWrV7Fly5YGeR0XFBQ8dpyYmpqioKBA5+ynYenSpWjS\npInGN15trF69Gvb29oiIiMDixYvRpUsXyVkxMTHQ19evs3tbFzMzM7z66quYOXMmTp48ieDgYMyZ\nMwc///yzpLwbN27g/PnzaN26NY4dO4bQ0FBER0fj0KFDOo0TAL777jv06tULnTp1kpxhb2+PWbNm\nITAwEPb29vD398dHH32Ebt26ScobMGAA9u7di+TkZJSVlWH//v1ISUlBUVGRVutXn4MnTZpU6/uH\ntlmP5ul6Ttcm79ChQzh69Gi9OqVPyjt79ixsbW0xbtw4+Pj4wMfHR3LepUuXEB8fX+cvQUS6eCEL\n3Cep7oD99bf8Zy05ORnvvPMOQkJC4OrqqlNWu3btkJqaiqSkJFy+fBkzZsyQlLN48WKMHj0ar732\nmk7jqRYTEwMfHx8YGBjgtddew4wZM/DDDz+grKxMUl71z/Lf//43WrVqBXNzc7z//vs4fPgwVCqV\n5HFu2rQJnp6eaNmypeQMlUqFoKAgDB06FGfPnsXx48dhbGws+cJEExMTfPnllzh16hTc3Nwwc+ZM\njBw5sl7doPoQQjx3xwjwsLjdu3cv1q5dC0NDQ52ygoKCkJKSgvnz52P27Nk4fvy4pJz8/HysWLEC\n4eHhOo0HANzd3bFu3TpYWVnBwMAAQ4cOxaBBg7Bjxw5JeUIItGzZEgEBAWjcuDH69euHQYMGITEx\nUadxVlZWYvPmzZgwYYJOOadPn0ZUVBTWr1+PCxcu4Ntvv8Xq1aslF+AjR45EYGAgQkJC4ObmhpMn\nT8LT07NGl7M21efgGTNmqDv8f1Wf46Ihz+l15e3fvx8zZ87E0qVLtf6Fo7Y8Z2dnpKamYtu2bUhK\nStLqosTa8ubNm4f333+/RoeXqKG9kAWumZnZY12ooqIiKBQKtGjR4hmN6nFHjhzBe++9h7lz5+Kf\n//xng+W2b98ewcHB2LNnT727cadOncL58+cxefJkAGjwubMAYGFhgYqKCslTClq1agUANT4StrCw\ngBBCp2kK+/bt0/lq31OnTiEnJwfTpk1D06ZN0bp1a7z//vs4cOAA7ty5IymzR48eiIuLw9mzZxET\nEwNTU1PJUygeVdtx8jy9KQkh8PHHH+Po0aOIiYlBhw4dGiS3UaNG8PDwgJeXFzZv3iwpY/HixRg5\nciQ6d+7cIGP6KwsLC+Tl5Ulat3Xr1o9NmbCwsND5m1WqpxT06NFDp5yYmBh4enrCxcUFhoaGcHJy\nwptvvont27dLzpw8eTIOHz6Mn3/+GeHh4cjPz6/zOHnSObhFixaPHReFhYVazZ9t6HO6przY2FiE\nhoZi5cqVGDhwoM551SwtLTFp0iStvtXiSXlbt25FRUUFxowZA+DpvIcQAS9ogWtra4vc3NwaH+Om\npKSgU6dOeOmll57hyP6/c+fOYdasWVixYgVGjBihU9bp06cxePDgGssUCgUUCgUMDAzqlZWQkIDb\nt2+jf//+cHV1hY+PD4QQ6N27N/bu3VvvsWVkZGDJkiU1lmVlZcHQ0FDjXEpN2rRpA2Nj4xrz665d\nu4ZGjRpJzszMzMT169fx+uuvS1q/WmVlpfpfNZVKJbkrqlKpsGvXrhpzx3/88Uc4OjrqNE7g4XHy\n169SUiqV6N69u87ZDWXBggXIyspCTEwM2rVrp1NWeHg4oqKiaizT09Or9zFSbffu3di2bRtcXV3h\n6uqK//73v9izZ0+tXUBNYmJiHuuuZmVl4ZVXXpE0tk6dOuHq1au4f/++ellOTo7Oz+Hhw4fh4uKi\nnu8v1V+PEQA6ffry+++/4/Dhw+rbpaWlOHfunMbjpLZzsJ2dHTIzM2uMT6lUwt7eXuMYGvKcXlde\nUlISli1bhm+//Vbr11ttebt27YK/v3+NxyoUijo/Jaotb/fu3bh48aL6uJgyZQquX7+O3r174/z5\n81qNlUgbL2SBa21tDXt7e0RFRaG4uBhZWVn45ptvMH78+Gc9NAAPL5YJDQ3V+JFYfdja2qK4uBiR\nkZEoLS3F7du3sXLlSjg7O9f7wrg5c+YgKSkJ8fHxiI+Px7p16wAA8fHxeOONN+o9NjMzM8TGxuKr\nr76CSqXC5cuXsXz5cowZM0Zy0aevr4/Ro0djzZo1uHr1KvLz87Fq1Sp4e3tLfuNNT09H8+bN0bRp\nU0nrV3N0dESTJk2wfPlylJaWoqCgAGvWrEHPnj0fm9enDQMDA6xcuRJr1qxBRUUFfvzxR+zevVun\necLV/Pz88NNPP+HYsWNQqVTYtm0brly50iBvzg0hOTkZu3fvxrp16+q8gEsbPXv2xJYtW3DmzBlU\nVlbi3Llz2LNnj+Su/bFjx5CQkKA+VsaOHYs33ngD8fHx9c5SqVRYsGABUlNTUV5ejh9++AEnTpzA\nuHHjJI3Nw8MDpqam+M9//oP79+/j1KlTOHToUL3mVT5JRkYGXn75ZZ0yqse3b98+JCcno7KyEikp\nKUhMTISnp6ekvLy8PEybNg1KpRIPHjzAokWL0L59+1q/NULTObhfv34wNjbGqlWrUFpaigsXLmD7\n9u0a3z8a+pyuKa+4uBjh4eFYunQpLC0tdc6rnprw/fffQ6VSIScnB+vXr9d4XGjKW7ZsGRITE9XH\nRUREBMzNzREfH6/+BhOihqAQL+jnAzdv3kRoaCjOnDkDY2NjjBs3DlOmTJGcZ29vD4VCof4ybX19\nfSgUCly4cKHeWWfPnoW/vz8MDQ3Vc7uq/09KSkLbtm3rnXnp0iV89tlnSE1NRZMmTeDq6oqPP/5Y\nckezWk5ODgYOHCj5a66Ah/sbGRmJixcvonHjxhg1ahSCg4Mld86AhwXBkiVL8MMPP6C8vBxeXl4I\nDQ2V3KFft24ddu/ejd27d0seU7X09HQsXrwYv/76KwwMDODi4oJZs2ahdevWkvLS0tIQGhqKy5cv\no02bNpgxY4bWv2zU9bo9ePAgli5diuvXr6Nz586YO3euxo+fNeXFx8cjNDQUCoUCKpUKjRo1gp6e\nHry9vWu9qFBT3ty5c7Fr167HOknOzs5Yv369pP2NjY3F2rVrkZ+fjzZt2mDs2LEICAiQ/Pw9auXK\nlcjJycGiRYskZa1ZswZbt27FrVu38PLLL2PmzJlwd3eXPLbffvsNYWFhSEtLQ8uWLfHhhx/C29tb\np30dMmQI/Pz8ND5n2uZ999132LRpE27evAlzc3OMHTtW4y9udeWtX78eGzZsQElJCXr16oXw8PBa\npyjUdQ6+d+8ewsLCkJqailatWuG9995Tf+Re37zExEQMHjwYCoUCZWVl0NPTg56eHiwsLGqdE60p\nLzw8HLNnz64xF736vtrej+ra35ycHCxcuBBZWVkwNTWFh4cHZsyYUWuDpD7vYWfOnMHs2bMb5AJH\noke9sAUuEREREcnTCzlFgYiIiIjkiwUuEREREckKC1wiIiIikhUWuEREREQkKyxwiYiIiEhWWOAS\nERERkaywwCUiIiIiWWGBS0RERESywgKXiIiIiGSFBS4RPVMTJ07ErFmzAAA7duyAlZUVVCrVMx4V\nERH9L2tU90OIiKTx9/dHcnIyDAwM1Muq/ya9h4cHoqOjsX79evV9CoUCCoVCfTs5ORkqlQq9e/d+\nKuMbPXo0YmNjoa+vj4MHDyIzMxNTp059KtsiIqK/DwtcInqqhgwZgqioKEnrbty4Ea+++upTKXDv\n3bsHIyMj6OvrAwCUSiWcnJwafDtERPT34xQFInqm/P39MX369MeW+/n5Yf/+/Vi/fj26d++OsrIy\nCCGwZs0aDB06FA4ODvDw8MCyZcsghAAAnDlzBlZWVkhISICbmxsWLFhQ63ZTUlJgY2Ojvq1UKmFr\na9vwO0hERH87dnCJ6LkUFxcHDw8PDBs2DNOmTQMALF++HLt27cKXX34Ja2trpKenIygoCAqFAh98\n8IF63aSkJOzZswempqaP5e7btw9ff/018vLyYGhoiJSUFFRWVuLSpUuYMmUKvL29MW7cuL9tP4mI\nqOGxg0tE/xOEENi0aRMmTpwIa2trAICNjQ0mTJiAXbt21Xisj4/PE4tbAPDy8kJsbCy6du2KjRs3\nIiYmBp9++ikGDx6MmJgYFrdERDLADi4RPVWJiYk4ePCg+nb1RWbvvvsupkyZonXO7du3UVRUhMWL\nF2PJkiXqi9GqpyeUl5cDeHih2iuvvKIxS6VS4fbt22jTpg0A4OTJk3j99dfrtV9ERPT8YoFLRE+V\nLheZPapx48YAgKioKHh6emp87KPf2vBXfn5+yMjIgBAC3bt3BwCUlZWhUaNG+OSTT5CQkIAOHTro\nPF4iInp2WOAS0f8EY2NjtGrVCqmpqTUK3Pz8fDRp0gQvvfSSVjlxcXHYvHkz9PX1MWbMGACAt7c3\n4uPjn8q4iYjo78c5uET03GrSpAmuXr2K4uJilJeXIyAgAFu2bMGJEydQUVGB7OxsBAYGYsmSJep1\nqqcsaKJUKmFnZwcAyMvLg7m5+VPbByIi+vuxg0tEz63x48cjMjISHh4e2LlzJwICAvDgwQN8+umn\n+PPPP2Fqagpvb2989NFH6nUe/UMRtfn1119haWkJ4OHXhVVPVSAiInlQCG3aHURERERE/yM4RYGI\niIiIZIUFLhERERHJCgtcIiIiIpIVFrhEREREJCsscImIiIhIVljgEhEREZGssMAlIiIiIllhgUtE\nREREssICl4iIiIhkhQUuEREREckKC1wiIiIikpX/BxoKcE93WIS7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b763c496150>"
]
}
],
"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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AAAAUCARXAAAAFAgEVwAAABQIBFcAAAAUCARXAAAAFAgEVwAAABQIBFcAAAAU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\nuapTp47H+rp16yovL0+SlJOTU2Z9VFRU6fwpVF7Hjh3TrFm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"text": [
"<matplotlib.figure.Figure at 0x2b76f7b83c50>"
]
}
],
"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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D07yMyWSy6zZcXExycbG9TLZsLjb//avPnTET8/TnzpiJubG5M2R6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\nAhUAAAAAWESgAgAAAACLCFQAAAAAYBGBCgAAAAAsIlABAAA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ltxRnvf+1y5cvm37O9Wzd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\nEARhIpRQEQRBEARBEARBmMj/AwkHzNa4p8UcAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76f7dc7650>"
]
}
],
"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 0.991500 p 0.000000 : FFT N/A 100.0\n",
"Score 0.991000 p 0.000000 : FFT N/A 75.0\n",
"Score 0.972500 p 0.000000 : FFT N/A 25.0\n",
"Score 0.954500 p 0.000000 : FFT N/A 50.0\n",
"Score 0.910000 p 0.000000 : Meanc N/A\n",
"Score 0.765000 p 0.000000 : FFTc N/A 25.0\n",
"Score 0.640000 p 0.000000 : Phase N/A 25.0\n",
"Score 0.631000 p 0.000000 : Phase N/A 75.0\n",
"Score 0.522000 p 0.000000 : Phase N/A 50.0\n",
"Score 0.400500 p 0.000000 : Phase N/A 100.0\n",
"Score 0.369000 p 0.000002 : FFTc N/A 0.0\n",
"Score 0.323000 p 0.000051 : Mean N/A\n",
"Score 0.282500 p 0.000612 : FFT N/A 0.0\n",
"Score 0.188000 p 0.055553 : Phasec N/A 25.0\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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ayob9n2NMqB0OZ6u0MmXgZJnU4izzjyFNbeUgjY/TUmp1U2mXIG2MXG4kwmJM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\n1zc6IjmTBF10zX7fVnon9qC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"text": [
"<matplotlib.figure.Figure at 0x2b76f7dc7c10>"
]
},
{
"output_type": "display_data",
"png": 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ZtGkTP/zhD9m9ezd6fe9/iep+JLXoKwGbI812pO1Hs+2amlrePfEBJnPbJMTR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\nY/PmzUNsbCzc3O6khZaWFpw5cwabN2/mfR9bff7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"text": [
"<matplotlib.figure.Figure at 0x2b76f7c74b50>"
]
},
{
"output_type": "display_data",
"png": 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K1lduRqEI0YZwVsoZhGhCfD5Pn8gehGjcrWor8r72dzGDqj4J+mMeWqifO6KM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\n0PRH/HbVdBASEsLFF19MVJR7JcwDBw7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"text": [
"<matplotlib.figure.Figure at 0x2b76f84d0b50>"
]
},
{
"output_type": "display_data",
"png": 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ZM2Yk2t988002btxIZWUlEydOZP369XzhC1/o/dMIBP1MVImxx7OfxkjHCs97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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76f86dea90>"
]
}
],
"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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l2r59uyRp1apVeuyxx/TKK68oFovp/vvvl8/n09KlSxUMBrVo0SI98MADamlp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"text": [
"<matplotlib.figure.Figure at 0x2b76f7ba68d0>"
]
}
],
"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, 4]] ['FFT', [0, 3]] ['FFT', [0, 1]]\n",
" ['FFT', [0, 2]] ['Meanc', [0]] ['FFTc', [0, 1]] ['Phase', [0, 0]]\n",
" ['Phase', [0, 2]] ['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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ZNWsWCxYs4LnnnuvSuXOyPHg9lu5ARaQDq2IzZpP/iPWAWxfGmYaB1+PGNIyu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\nlfCpJ1qz+GdU0vKxm6h7yO3a1XXPfaj//L8Lo9MURcRkAunVLVjnrR3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rcmVMV+9973vf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Q4b4c4wwhw20lLjiQw/ahvpKlf1NIjw5jONQ0REQo8j2AWINIUvIxPbniICuclu0tir2LVpA7/a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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76f8a1e290>"
]
},
{
"output_type": "display_data",
"png": 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GA3z+EDp8QchSap0Q2HWBaD84tzD1hE2NifwBBd9UtUENd9JVNQ07q9qELhNK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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76f8a1e910>"
]
}
],
"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: [ 7 1 2 22 19]\n"
]
},
{
"output_type": "display_data",
"png": 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69ZMkpaSk6OTJk5KkVq1aafTo0Ro5cqTS09NVr149LViwQH5+fpKk6OhojRs3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\nkhBCCCGEyOz/AJcSR2ad6jfPAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76f8786290>"
]
}
],
"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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IiCwCE1MiIiIisghMTImIiIjIIjAxJSIiIiKLwMSUiIiIiCwCE1MiIiIisghM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\nB4VqyzhitUjLAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76faa5fa90>"
]
}
],
"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 0.810950 p 0.000000 : Meanc CCP5h\n",
"Score 0.793855 p 0.000000 : Power CCP5h\n",
"Score 0.787151 p 0.000000 : Meanc CP5\n",
"Score 0.781899 p 0.000000 : Power C5\n",
"Score 0.768380 p 0.000000 : FFT CP5 100.0\n",
"Score 0.767598 p 0.000000 : Power TTP7h\n",
"Score 0.763687 p 0.000000 : Power CP5\n",
"Score 0.740782 p 0.000000 : Meanc C3\n",
"Score 0.740559 p 0.000000 : Meanc C5\n",
"Score 0.734972 p 0.000000 : Meanc TTP7h\n",
"Score 0.727821 p 0.000000 : FFT CCP5h 100.0\n",
"Score 0.717318 p 0.000000 : FFT CCP5h 75.0\n",
"Score 0.716536 p 0.000000 : Meanc P3\n",
"Score 0.716425 p 0.000000 : Meanc CP3\n",
"Score 0.715754 p 0.000000 : FFT CP5 75.0\n",
"Score 0.715419 p 0.000000 : Meanc CPP5h\n",
"Score 0.699777 p 0.000000 : Meanc FCC5h\n",
"Score 0.695084 p 0.000000 : Power FCC5h\n",
"Score 0.693743 p 0.000000 : FFT CP3 100.0\n",
"Score 0.690056 p 0.000000 : Meanc CCP3h\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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bC3SrxR1xU+1gxtvTbRuqBfd027p/N+oN5JictAXbaY90CAtumpESC24y5Ywn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\n4bpBXia4Hw/11vL/ntKSf+oal0sNXL/pjRBQdl2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69Gj27t3rsHzv3r3MnDnToWVPZWUl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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76fad9f390>"
]
},
{
"output_type": "display_data",
"png": 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TvPjiizz55JOUlZXx+uuv841vfINFixaxePHiZNkvyEB6wm4O9B2hpaudqBod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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76faff8ed0>"
]
},
{
"output_type": "display_data",
"png": 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TKTrtSRx2Q2CPNeSu+6Aiz5jIOx44OUhLQa4jhHaSomk67500yriU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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76fb176d50>"
]
},
{
"output_type": "display_data",
"png": 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0B1qodtfiDnl5cPtTNAd9zMsrjHk87c3CSiobW+OAVIsBj6ezgZjXG0Cnp8tz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\nQSmEEBr+A7HCV3VR0+2eAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76fb347390>"
]
}
],
"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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TG0ZX+R1wDYYRS+RweDCMdZ3OpttrQFQt3NdPRFQSyUeRk5QNO70ObRx7ORef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\nIiIilvs/hSws2flOiKcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76fb325950>"
]
}
],
"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": [
"[['Meanc', [64]] ['Power', [64]] ['Meanc', [72]] ['Power', [54]]\n",
" ['FFT', [72, 4]] ['Power', [63]] ['Power', [72]] ['Meanc', [55]]\n",
" ['Meanc', [54]] ['Meanc', [63]]]\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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Up+so8RgMDKAO9KPEEyiJGLGBCIPr97JQz86FbpgMthgYrfW4nLZsvWFFBczs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\nyBCJJEo9vJLw2DWGokki8TS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GHps6OUpoqSp4PCiJBLaWXbBrB0awEn3OHMxp0yd8Uwox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\ntm33uuaYY47pdf2RRx5JZ2cnj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"text": [
"<matplotlib.figure.Figure at 0x2b76b897a790>"
]
},
{
"output_type": "display_data",
"png": 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MCCtqhltGRKJhoNvJIkvwuO2ZbgYR0ZDXHlASQW4ckwlElAksXUAsyJ0wuggO\nG8sWiIj6Kz/HDrlHTS6TCUSUCcIHuvOqRnKgBBHRAHLYLZg8thg79rUAYDKBiDJH+EC3rNiN1lY/\nolEt000hIsoaY8o9GFWaB1gtTCYQUcawRpeIiA4Lh92CMs5mQ0QZxECXiIiIiLISA10iIiIiykoM\ndImIiIgoKzHQJSIiIqKsxECXiIiIiLISA10iIiIiykoMdImIiIgoKzHQJSKiwyKsqKhr9iOsqJlu\nyqDBPiFKX/x70xfCr4xGREQDb2+tF9v3tcDhsCEcjmDi6CKMKfdkulkZxT6h3koEdlxVMOl7c+53\nKtN+PQNdIiIaUGFFxdY9zYnHmqZj255mVAi8Shr7hHqLF0Rden5v+kL40gXeQiKigcBb0l3aAwo0\nTU/apmo6vAElQy3KPPYJ9UY8sIvvK/ELIlGPK0bfm3QJn9H914dfCn/FRET9wwxMsvwcO+Qet1st\nsgSP256hFmUe+4R6Ix7Y6TrgCyiApkOSAG9AwTC7K9PNO+KMvjfpEj6jC/CKqTtmpYjSwwxMKofd\ngsljixO1hRZZwqSxxXDYxL1Fzz4xx/NOl/wcO9r9CnZVt2FvjRe7qtvg9SvCXhD1/N70hfAZ3bj4\nLSQRr5jimJUiSl88A9M968DjCTCm3INRpXmA1cIBNZ3YJ6l43jEm9fiJ/t29H9LGlHtQWpgDbx8v\nhBjodhL9FhIHSlA6OCK4C29JUzocdgsKC91obfUjGtUy3ZyM4nknVXtAQb7bjrwcGyRZhq5pkCVJ\n6Avn7hdDk8eVpP16BrqInZQmjC4S+hYSs1LmGNQlYwYmWfzW2o59LQB4PInjfkKHwvNOqviFs96Z\nvJQgCX3hPBCzLggf6M6rGskABsxKmeHJOhkzMMZ4SzoZ9xPqDZ53UjnsFhR7nNiwvQ6yLEPTNMya\nWCbshbPRxVC6hB+MVsYDLwAOlDDCQUapOEWSOYfdwuNJJ+4n1Bs876QKKyqavSGMrfBgTIUHYys8\naPGGhD3vDMSsC8JndKkLs1LJeFstFTMw1BvcT8yxFCoZzzvJ4ucdq0WGy2VHMKgIfd7pWRrWFwx0\nKQkHSnThyToV61GpN7ifGGMplDGed7rwvJMqMetCONqn1zPQJTLBk7UxZmCoN7ifJGPdMvUGzzup\n9tZ68enuZmgAJh8zLO3XM9AlOgierI0xA0O9wf2kC0uhqLd43ukSVlT8e0sN6lsDsFr6FuwLPxiN\n6FA4yIh4sPOtAAAgAElEQVSI+ou3pCkdPO/ENLYFUdcSgN6PBTMY6BIdApenJKL+4gwDRH0wAMls\nli4QHQQHjxDRQOm+lKnHbkGOk6dggDNRkLlh+S6UFeWgoTXQ5/cYEt+ympoarFq1Ch988AFsNhvm\nzp2LG2+8Ebm5udi5cydWrVqFnTt3ori4GOeccw6WLFmS6SZTFuDgEUoHT9Z0KLxwTrW31ostu5ug\nQ4IEHVPHlQjfJ9TFYbfgxKkV+HR3E7Q+pneHRKB7ySWXYPLkyXj77bfR3t6Oyy+/HHfddRduuukm\nXHLJJVi8eDEee+wx7NmzBxdddBFGjhyJ+fPnZ7rZNMRx8Aj1FgMYOpT4hXNU1RBRdeiaJvyFc8+B\nRlFVhdenCN0ncbxw7pI0OK8PBn2g29HRgcmTJ2P58uVwOp1wOp04/fTT8dRTT+Gtt95CNBrFpZde\nCkmSMGHCBJx11ll49tlnGej2Eb9cXeKDR6KqBl9Aga5psFlkDh6hJMz8U2+0BxS0tIdQ1xpArPBQ\nR1lhjtAXzo3tsYFGcboO1LUE0NQexIhhuRlsWWbtrfVi8xcNCEU0OG0ypn9tuPAXzvEZXPpi0Ae6\neXl5+O1vf5u0rba2FqWlpdi+fTu+/vWvQ5K6ArIJEyZg9erVvX5/BnVdmJVKFl9zfP3WWmg6IEvA\n7MnlHDwCwOtT8FVzAB6HVfg6Q2b+qTecNgv2N3TAF4xCliRoug4loop9MWQ2kl7g03FYUfF/G/bh\nQL0PkiRB13XUNQfws+9PFHtf6Ychd4baunUr/vKXv+Dhhx/GunXr4PEkB2IFBQVob2/v9fv968Mv\nEVGimDS2GGMrxA3qwoqK7ftaYrfVAgok6NixrwWjSvOE/XKFFRV7ar2JY7EOYE+tFzMnlgnbJwDw\nzqc1WP9pLWRZhqZpmD2lHHOnVGS6WRlT7HHCau2awEaWJVhkCUX5ydtFZLHIST9F5g9HIEFKxHBS\n578DoSiKPM7MNSyDykvcqChxJ7K6siyhrCgHZcVuYb87++u9OFDvg56oWtbxZb0P9a0BjB2Rn+nm\nZUxE1VDX7EdZcfpZ3SEV6G7evBmXXXYZrr76asyaNQvr1q1LeY6u60kZ3t6w2a34T40XE48ZBqdj\nSHXJgKlr9sMXUlHd0IFIVIPNKmPE8FhNTF9vFwx1+2u9aGoPwdatLqipPYSwBpQJ2idtHSG8v6MB\nshw7CcmyjE07G3Di8SNRkCfmyRoA5kw7Cpu21cEXUOB22jBjUhnKhot74dyTx8PMtjekIs9tR47T\nhqiqwWqRYbFI8OS7hD3GAsDCE8dh07Y6+EMRfncASHU+yLIEXY/FMbIkQ5Ig9Ll415et2PxZAzRN\nx7nfqUz79UMmqvt//+//4ZprrsHNN9+MRYsWAQAKCwuxf//+pOe1tbWhoKAgrfcOhyPQNB0Hqtsw\nrFDMA3I4oOCLAy3o8CvQEcs2BEIRhIMKWlsz3brMaPcGEInG5s6ND5SQAHR4g2h1ipnR3bmvBWEl\nCl2P7yU6pKiEnbubUHl0YaablzFebwihcAQAEApH4PWG0Nrqz3CrMs9ikeHxuOD1BqGqYq+M5pCB\nknwnvmr0IRLVoENHaVEuHDKE3ldKcu349glHQZNkyHpsHITo/eF2WtERiCRKF3JdNpTk2YXsl7Ci\n4t2Pv0JU1aBn86wLH330Ea677jo8+OCDmDVrVmL75MmT8cwzz0DTtESGaevWrZgyZUqv39sXUABN\nh9UiIcdpFXaZypaOEMLhKAKhaCLQtdtktHpDyBE0y12U60RpYdf8fRKA0sIcFOQ5hN1PSgtzEFZU\neANKYpsnx47SQpewfRJWVHyyqxGqGivkVlUdW3Y1orTAJXSJCxDrm0BE4zgIxBaIyHPZ0OoNQ9N1\nyJKEY0cVwiJJwn534jRNB6yApuqI6mL3RY7TinnHH5UyNiTHLmZ80uwNoak1iIb2YJ+XAB70EYyq\nqlixYkWiXKG7E088Ebm5uXj44Yfx05/+FJ9//jmef/553HPPPb1+/701XmiahlkTy4QeZKRENATC\nySt/BUIqFAG/WHE95++ToWPKuBKh9xOHzQKHXUaotWtfGVYgw97HaV+yQXtAQYs3hIa2YCLzP7zA\nJfxgtL21Xny6uxkaYktwThlXLPTgVq9fwRdftaEwz5HI1O36qg1evyL0TC6cYSDV7MnlmDZ+GBcW\nQWwQZ0N7sF9LAA/63vv444+xZ88e3H777bjtttsSBwhJkvDqq6/ij3/8I26++WY8+uijKCkpwfLl\ny3HiiSf2+v1Li1ywWSS0eEMIKwKPgI3vRRIgdxbAd/4iY00aDJLm72NWCo3tQQASSvKdCCgR5Nht\nkCAJPR2Q02ZBQ1sQmqpD0VRA19HYFoRT4Asio/lR231hoadcq272J2bnsFktiERVqJqO2ma/sIEu\nZxgw58m14+hCN1pb/UJmcuNCkVjioL4lACWiHvoFBgZ9oFtVVYWdO3ce9Dl//etf+/z+X9b7Om9J\ni52BsdstKMi1wxeMJEoXcl02oTN1cfH5+0Q/4AAAdKCpLYh2vwJdB9okBfluu9DTAYUiKlx2S2yk\ntA5IEjCqNBehiIq8TDcuQxrbYvOjqlENIUWFVZKEnx91RLG7c5BR1zaLLKGiRMwBRgBQ3eTD/nof\ndE0HJB3QgQP1PtQ0+TCmQtwZBqhLfo4dkiQhquoIRaJ9eo9BH+gebq0dYWi6hrDg8xkOy3dhdLkH\nNY0+RDQdNlnCiGG5KCkQM/DvjotodJEkoCMQgap1nq312GNJ4MS/02ZBS0c4du9Dit0Dae0IC53R\nhQS0+8No6wgjPmixIM+R6VZllMdtx+xJ5diwvQ5ALMidNbEMeTliZnMBwBeIIBqNlcjFp9KyW2X4\nw30LaCg71bX4UdscOPQTTQgf6CpRFRYpNi1Zh1+BR9CDjsNuwTEj8lHb7Iek6ZBkCeNG5Atdjwpw\nEY2edte2Q5IAWYoFL4AESYrNL1whaKbOG1CAzkEjkiRD1zXoemx7nqC3pB02CzoCEURVvbPULBbU\niH48Ye1lsvISd2w6UB2Ij6mXJAnlhTmZblrGMcESU93oQ1N7GA67DK2PCRWxv2WI7UwSAIetb7Uf\n2SKsqPhPdWyhjdi8sTp2V7ej6uvDhc10x5d2DSsq2vwKHBZZ+KVdh+fnIJah0xDP1AEySgWdlg8A\noANOhxW6riOgqMhxWOFyWIUu56hp8cey/N1L/XWgtsUv/F0i1l520QGUFrhwoMEHTdNhkSWUFrgg\ndq8wwdKdL5Sc9e8L4QNdTdMgSRKCYRV2QYMXoKumLl5jyDXHY6Pp99d5U2ovRa7lrihxIzfHCq9P\ni+dzkZtjRVmRuHWGwwpc8PrCqG8NQgfQgljNf0m+mPsIADisFqi6nrS6labrwmd0KZnTZoE3GIGq\nqdAhQdU0eIMRYRMJQFeCRVV1RNTY9KciJ1jKi92AFKtt1/o49ZzwgW4kGiuCd9p1tLSHMEzUk5ME\nhMLRlMFoIpMA7KnpgBJVE/Vje2s6RE7UIRRRMfHoIhxo6EAoosJps2DU8DyhB141tQfR0qEkBhpJ\nEtDSoaCpTdyLxFyXDQVuO9p8XQvQ5Ofa4XaKfUyhZE1tQXj9CrTOVcB0SPD6FTS3BYUtI+R0hcl0\nAAVuG6qDkT5PMSZ8oCt31r4EQirsNjHX1gZik/4rUQ2BcLRrUIDNImyNIRC7/QogqX5Mh9i3X/Nz\n7JBkCVaLDJckwSJLkGVJ2OmRAGDbvhZIEmCRkVidXpKAHftahA10h+W7UF7ihhLRoOo6LJKE8mK3\nsN+b7hpbg/h0bwvKC1woFHyAXqsvtniG1ZKc+W/zhTPYqsyKT1cYD+p0HUJPVygB8IdU5LlsfS5p\nET7QlTrTc3abjIbWIMaUizmlidevwG6V4bJboOqARQLsVlnoAXp5ztjf3XNG4TyXmP0R1xFQ0OZT\nEvNeetwRoadbnjS6CC/+ey9iK9zGOsIqA5PGFGW0XZmWl2NHkceRmMXFk2MXej8BgBff2YP12+oS\nc8HPnlSGH8wdm+lmZUxhnhN2qwXhiJroE7vVgsI8Z6abljGhiIrh+a7OOctjg1yH5buEvWvW1Lk6\nqz8U6fPdVHFTmJ1cDitynTbkOKw4ZoSYQS6A2GWT1COoE/kePWLr0uc4rYlukBBbnrHYI+5BuLEt\nCH8oioJcO9wuKwpy7QiEImjqPCiLqCTfhbKiWKZS70zDlBa5UOQRN3vZHlA650btPLBIEjRNT1o6\nWjSNbUG8vaUG/qCCQCgKf1DBv7fUoLFN3O/OiBI3CnLtiKoaoqqOqKqhINeOcoHnFs7PsaMo34nR\nZR6UFrkwusyD4nynsHfN4vNPa7oeWyq6D4TP6CoRFbIsYcq4YhSLWp+LWOlCOKIirHTdHFDsqrDZ\nXCB2ZV1W5EJYURFRNdgsMsqKxL2yBhCr5VainXV1sWyDqAfguPaAgiKPE60dIYSjGhxWGUUep7A1\ndUDs9uuBBh86Al01upGoJuRgmridB1oQCkWh6l1TrgVDUXx+oBXDBC3pCEdUQIrVdKudsy5IUmxA\nlqgDFx12C4o9TrzzaQ2UqAa7VcbcKRXi9kfnsvPh1r7PxSF8oCtLEuxWCb5QVOglgL0BBQ6rBQ5b\nFFEtduvVbrUIPReo02ZBa4eSyNLpuo7WDkXYWikgdkHkC0bQEYgiPo+uHL8tLSgJwK6v2hBSYrdf\nVVXHrq/ahL4h4vUrCClRBELRRKBrE7wUqsDtQFRLzkrpMlCYJ2Z/ALFlkXU9tiyyLEmAFKvRFX1Z\n5I93NaKxNZA4F3+8q0nYqT5jdzwkVBTnQO3jaDThSxeUqApfMHZVXdPkz3RzMkePXV0HFQ1K58/4\n1baovAEFHUEFHcEIAqEoOoIRdAQVoW+/NrUHEY3qsFkAq0WGzQJEo7rQpQsH6jsQUlREVR2qhthS\nlYqKLxs6Mt20jFEiKoJhFZquxW456hqCYRVKVNz5ynNddlgtUnxKYegArBYJOU4xAzoAKPE4EQip\nSFwN6UAwpKI4X9zysOomPz4/0IaOYBSBUAQdoscnnTGIxSrD3cfxMcIHupoeG9UYUqJC10o57Bb4\nglFEo521UlENvmAUDqt4V5BxvkAEvkAUmha71ahpOnyBKPyBSKabljG+QARWiwSXw4YcpxUuhw1W\niyT0kp2BYGwFsO6iqo5ASNw+gQREVQ2qBqidP6Oq4MsAmGajxB2hpwMo8jgQUqIIhVWElCgKPY4+\nTyOVDRpaAwj2uHAOKqqw8cmwfBfKinLQn8XhhA90ocePP7EptURV2+RP3KKPH3h1XUddS9/Xlx7q\n/MEINE3rnKg6tp9omgZfWNxAd3S5B3k5dkiSDuiAJOnIy7Hj6FJhq5YBSU658RFLTgl8O0SP3YLu\nfrLWRI5eAPiCCiI9VkKLRDWhL5ydNgtkWYoN/HVZUJLvhEWWhC4Pi0TUlEFXmqYjIujdEIfdghOn\nVmBsRT5Ki/pWyy58oBvfnew2GaUCr69tt8mIajp06NB1QIeOqKYLPbew22WNBbidj3XEAl63wOvT\ne9x2TBlXDEDqrJeKDeTME7TuEgBynBbIPc7LsiW2XVSKqiGqaugsu4TUmeGNRMTN6jZ5jeeGbWoP\nHeGWDB6hiIpgKIKa5gBavQpqmgMIhCIIRcQM6gDwwtmE3o9UpLhn7E4WObaMqdtpE3raKLvNCug6\nEncXdcCq67BbxD1ZR6KayZW1uJmpsKKi3a+gINeBcFSFw2qB168IPZBzVGkeXHYbAqFIYmU0l92G\nUQJnuX2hCGRJhiypsfJLCZAlGb6QuNnLEo8DUnx99U6SJKGkUNzzTiSioq4llJRNqG8JISJwoBu7\ncJagdiuHki2SsBfOYUXFv7fUoL41AGsf4xFx03WdnHYrcl1WuJ1WoQcZKZGoYZ2hyINHak2K/+ua\nBR0UgNgI2H21XrT5wgiEomjzhbG31iv0YLRYnaE9lr3s/KfIYxe6zrAo1wlZ7lbyowOyDBQJvBBA\nkccFp11OmpfbaZeFXhxhd207uobmAfG83Z5abwZblVmjSvNg7VGQapUlHD1czAvnxvYg6loCneOG\n+hajCZ/RVSIqoqoEp8ABHQC0dSiG2cs2v7hLMbqc1pRbJXrndlEpURVtfgVhJZrIXkY1sS+IJAAt\nPW5Lt3jDQt9ozMuxAeiWvOz8meuyZaZBg4DDboHNaoHdFhvYKssSbFaL0AN+h+fHygVjoW7X0ba0\nUMx5hQGgw69A7hHoyrIEb0BBsYjzLetAuy+MNp/SbRxReoTP6EZUHeGIhlZvWNgJmQEgomqGQZ3I\nNXXD8l2w9DjgWGRJ2MndYyQoERXhiAYlonX+VCHp4oZ1B+o6YoOMugV1kagm9PRitU1+KD1uPysR\nVejBrU3eEJx2C2RJgsUiQ5YkOO0WNHvFrdGtKHHDabd0DvSNXRg57RaUFYm7MlqrLxy7EELsIlpG\nLOnU6hMz6eSwW9DuVxCOqFD6GI8IH+jGKRENu6vbMt2MjAmaTA8VCIubqbPbrUid+kfsumUlEkUk\nqnUOWIydmCJRTeiMLqTYiUhD5216xB4LXLmAdn8YPWcTUzWgzSduUFficSKq6p1z6cZ+qqqOEoHH\nhsTLBeM3E+M/RS4jdDusUOPHE8SOJ6qmw+0S807igXofot3OOX3BQLeTDqBB0HnqAMBrUvvS15qY\nbNDaEUTPpbU1HWjtEPdk3eZTkgZJAICqipttAICyopzOQUadB2I9NsiorEjcWVx2VxvXWJptF0Hs\nDlkUHcEowoqGjmAUSiQKce+ZAa3eEHzBSFLdsi8YQWuHuMcTSCZ3xwS9axaJqinjh9LFQLcbq1Xc\n7hhb5jHcPrpczAJ4AKhvDhhO81LfJu7t10jUuMQlGhX3dO0NRuByJGf5XQ4LOgSeH9VlMgNHjsD1\n7a3tQXiDyXfOvMEoWrziJlga2kOGUziKujgCAPhDEcNkgl/QGUtsnasJ9oe4kZ2B/D4uL5cNcpxW\nw6DO7RB38Mixo4sMt1ceXXiEWzIUiJltAACPy4aQokHunDNWloCwoiFP4IFXeW7jvz1X0NuvAPDJ\nnmajSihs3d2ckfYMBrkOS8rsJLoO5Ap8QeT1KYbJhA6fmHdX61v7f9HDQLebFoFvSTeaTFou8pV1\nfFaB7iQJ0MVNXsJmMZ7M3GoTN9Bt6ghB0zSonZkpVQdUTUOzwMeToGL8JQmZbBfB+Ip8wwDmmKMK\nMtGcQSGspi6DIAEIC3yHaOeBFpPtrUe4JYOD1dL/MJWBbjcir+6kmKxDH+lnbcxQ1tBmXKPbMABX\nmEOV22U85ZrbKW72Uo1oiPbYUaKaLnQ5x+iyXJPt4pZCma2omOMQN3tZ6LYZHk8K8sQ9FxfkGv/t\nRXliHmPHH5Xf7/dgoNvNvnpxpwMaW5pneMAZU2p8whJBIBw1vK1mNkOFCNpMbp+1mSxvKoI2k4Ez\nXr+YtxoBwG1SBpYjcDnHpp0Nhts/2Fl/hFsyeHxiUraxZVfTEW7J4FGSbzx9ZaFHzMGtXzX2f0wM\nA91uRB7p+VWDz3D7l03G20UQChsX/4cUcQNds/KeNoFnXcjPS10FTdcBj1vcrFRjq0kpVIu45RwO\nm/Hp1iHo0q4A0Ghyd6xJ4JI5q8kCIjZBB8vXDkAMImbPmRg5XNxJqr9sNN6ZzAJgEThtxtknh13c\nW41Ok9H0PWcdEEm73/iCqF3QwSMA0Goyk0Brh7gBTHmJ8d2xcoEXRzhqmPHfPmKYuHcSx5iU9xwt\n6AxIA7FwIAPdbsaW978WZKgym1rNapKFEEEoapy5VQTO6BaYZCnjS76KaG+18SCRPTViDh4BkFKz\nHKeabBdBfq7xdyRf4Mz/uBHG59xjBqAuc6j6qslvuL26wXh7tqsfgOy+uFGMAX9I3ADG7ze+9ewX\nuM6w2SQr1STwkp2bPm803P6ByXYRtHiNM7otHeIeT6Kmg1vFHaDX7jPeH9o7xJwfFQCaTWr7zWYB\nEkGNSaBb1yJmoNtzTuG+YKDbjU/gZQcb2owPOPUCH3BKC4yL/8uKxRwUAADRiPFSv1GBlwB2mYym\ndwtce2m2ALK4k9ABjW3GgUpDu7gL0NSYZClrGsUM6oDYvNxGcgWd2WZ4kfHgvHQw0O3GaRdzRwIA\nT47xybrAZLsIghHjDExA4Mx/nsn+kCfoQRgAKkqM6wwrisWtvSzMdRpuz891HOGWDB5N7cZ3iJoF\nDnTNgpjSQnGTCWaztXQImogrdPf/mMFAtxtRRzUCwIjhxksAV5QYbxeBTTbOyNkHYALroSpiMjes\n2TzMItAk4+yluD0C1Jksk93QKm5Q124SwJgNZhSBeYZf3FpuxewYK+i83B3B/n8/xD1jG/AGxZ0i\nqbTQOAMzvMh4uwi+qG433v6V8XYR1DSb3GoUtH4MADxOkwF6As8Z6zQZKu0UeHYOu0mf2AUe8Lu7\nps1w+55acY+xE8cYLzE/cazxkvTZbiDmIxf3G2bgQK03003ImGaTOYSb28UN/qMmsytEBK5HLfIY\n32oclifurcbdNcYnZbPtIugImCyiIfCUa+UmpSwil7i0+4yzdW0d4u4n2/cYz9aybbfx0sDZziL3\nv7K/X4Fu1GT6paFK4NVuUdtovCpcXZO4q8WZjfZUBb5Nn2MywMrpFPea2eszHrDpFXgRDcVk0GLE\npO5dBLkmGX63wJn/lJVWOkkCly7s+so40N31pXH2O9sVm6wUl460z06apuGBBx7AvHnzcPzxxwMA\ngsEgVq5ciUhkaNcaedziHnAa20xWMjLZLjRd3LHjXpMMjNl2EagmCX6R54xtNsnINXnFzdTtrze+\nY7hP4DuJZjPYiDyzTWGe8eCrYo+YAzlDSgZqdB988EE8//zzOO+88xLbAoEAPv74Y/zud7/rd4OM\nvPPOO5g9ezaWL1+e8rtXXnkFixYtwvHHH48f/vCHWL9+fZ8/R9RibwAYXmBSoyvw6FezAVZhs8hG\nAKGw8d8eCoubqVNM7myFTbKaIjjK5Hb8yFJxb9NXNxjfHas1WZVSBHab8Swudqu4s/0UekxmLMkT\nc7yM19//c0vage5LL72EP/zhD7jooosgSbHMVnFxMe6//3689NJL/W5QT3/605+watUqjB49OuV3\nO3fuxHXXXYdrrrkGGzduxIUXXogrrrgC9fX1ffqsVpPJq0XQFjDemdoEXjDCLIARuUZ3dIXxLBxj\nRog7O0eeyfQ3HoFXvDKbNmq4ydzUIjCdxcUm7gA9s9kVzOZhFoHFZBYXi0XMRJzJ1ya990j3BS0t\nLZgwYULK9qOPPhrt7QM/+MLpdGL16tUYNWpUyu+ee+45nHzyyZg7dy7sdjsWLlyIr33ta1izZk2f\nPssn8DQv0M2+ROIecMwGRLSaDNwTQZvfuJRF5D4JhIyPG/6guFnuFpM5Y83mkhVB2TDjbHaZwIPR\nfCZzkos8V3mDyQDwRpNFnbKdcwBmJUn7HSoqKrBz504AgN6tkPy9997DsGHD+t2gns477zzk5uYa\n/m779u0pQfeECROwdevWPn1WcYGYNTAAYDLBAJSIuIGu02789XDaxb2ttu8r4wERe02mCRJBu8ny\n2e0BcevbvQHj4L/DZLsQTEr7xczTxZglswWuXECDyQp69YLOQf1lff9Le9LenRYtWoTLL78cS5cu\nha7reO2117Bt2zb87W9/w5IlS/rdoHS0trbC40m+ZZqfn4///Oc/fXo/s5HCIugIGmcvvSbbRVCQ\n60RzR+qXrEDg1Z2CEePTclAR97ujmUQqpjdJBGC2PwRDAu8nJjkD3WTmARFETI4niiLul0fXjK+I\nRN1NZEv/axfSDnQvvvhiKIqCBx54AJFIBFdeeSVKSkpwySWXHPFA14iu64na4XR92eiHVdTV0UzO\n1pKmC9snIZMLn1AkKmyf5DhtCBnMrpLjtAnbJ7rJoEVdFfe7Yxa8qRC3T+pNFlupbQ4I2yc1zcZZ\nytrmoLB9MrzAaTg7SWl+jpB9UuDOQKArSRKuvPJK/PznP0dLSwscDodpacHhVlRUhNbW5Dnn2tvb\nUVTUtxVEotEoCgvFrJeSZeMvkGSVhe0Tswy/EtGE7ZPCXCdaOlID3cJcl7h9UuBGe13qiPrCghxh\n+6TdZGEIry8sbJ+YLZ8djYp7PHG7jEOQ3ByrsH2Sk2N8x9DltgnZJ/+pPkKlCx988EGv3/CEE07o\nc2PSNWnSJGzfvj1p29atW/H973+/T+/nzrGjtVXMpUxDJjMJhJSosH1ieqtI14XtE81kajVNVYXt\nE1Uz7hNV04TtEyViHOiGo+IeT9q8xjXbLe1BYfskbFKiEAyJezyRTaq2rYKedwZiUpJeBbo/+clP\nIElS4nZUvDSg52MAiYFqR8LZZ5+Ns846C2+//TZmzZqFNWvWYP/+/Vi0aFGf3i8cjiAq6Fy6ZjdE\nLICwfeIwGYxmt8vC9onVajZFkrh94jC5G+K0iNsnZsMdohFN2D6RTA6yVlncY2zYZApHRVOF7ZMm\nk9kV6ltDQvZJYADmaO9VoPvKK68k/vuzzz7D448/jgsvvBDjx4+Hpmn47LPP8OSTT+IXv/hFvxvU\n05QpUyBJUmK54ddffx2SJGHLli0YP3487rnnHqxatQq1tbU45phj8Mc//hHFxcV9+ix/QNBqbwCy\nSV2zpY/1ztnA5bABSM3C5DjEXUHPazJlVrvJPMwi0EzWYlfF/eqYL58t8GpxwwpysL8htSZ1mMBz\nC0dMBi0qAi9A4wsb3w3xK2IODA+aTN+Yjl4FumPHjk3893XXXYe77747aQGHyspKTJo0Cddddx1O\nOumkfjequ08//fSgv58/fz7mz58/IJ8l7nhgwG43ztTZBJ5Ky2y1r6DAB+F2n/E8qO0d4s6P6jOZ\nmcRsuwgkySTzZLZdAGb7Q3tQ3CnXTFdTF2/MVYJucpFotj3bmd0JSUfab7Fr1y6MGDEiZfuoUaOw\ne9kvb3kAACAASURBVPfu/rcogwQc0Jjg9RnXj5kFNiLwhYxvIXWYbBeBWd2yyBeJfp/JfmKyXQRm\nSZiQuLE/oqa13OJeOA/LN15Bb5jHeLsIXE7jO4YuQe8kDsS0an1aMOJ///d/oXYblKJpGp544gmU\nl5f3v0UZVJAnbvayPWCcaWnzC5yBMfnbfT5x+2RMufFSv+NNtovAbMpPkylChWBSemm6XQQdJqVx\nZttFUG8yuKq+RbxBV3G+oPEFsl/QO0RWS//jsrTf4aqrrsIvfvELPP744ygrK4MkSaitrUVHRwfu\nueeefjcoo3RxU7oSjBf7FbdHANmkUywCd0pdi/FUL9XN/Z8CZqjKdcpoNbgoynUOwHDhIcppBwIG\n52WX/ci3ZbDIsQNGSX63uOvPIBg2mXXBZLsIoiZ17KLWt8uW/u8LaQe68+fPx+uvv45169ahtrYW\niqLg1FNPxSmnnIKvf/3r/W5QJnk7xLxiOhgxv1oxnlwrmrypKShPnpi3kADzDL/ImX+nywH4U0t8\nXAJHdWbjZsLilqMiJ8duONDIbN5UETjsMsIGMwnYneJmEzSzQFfQpdF8Jneb09GnnHBFRQWWLl3a\n7w8fbBQx96ODEnjgOBST4n+zZStFYJb5F5nXZCCeyPXtZhUKUYF3npDJoLOgwIXLfpMgxi/whXMw\naPwlMeurbGfRgf5eH6cd6J5//vkH/f2TTz7Z58ZkmrjXkLG/3WiohMiBrt9vPHikIyDu0CsbAKPT\nsrg5biBgMubMIMkrDJZCpQpFjAOYoMAZFrPQTdAJBgAAksmXx2QWw6ynyzDfUXop7UC3pKQk6bGq\nqti7dy8aGxuxYMGC/rUmwwQd1Aig3/tRVrJbAaNpY0XeT2wOQDEI7GzOI9+WwcJmBRSj/UTcsa3M\n+hswWXwSJosNCiHHBvgN0nUi1y1bYHxHxCJooDsQs3mmfSi+7777DLc//fTTaGtr63eDMskq8vxi\nlMJsERqRR47bbFbDI4/DJm5UZxTkAkBI4P3EjMgX1GZ/u6BjjAAYB7mA8aA9UZgl+AWumOu3ATs7\nLV68GN/61rdwxRVXDNRbHhEWNQpPoB0A4IrIkOrrAVmO/RMnS12P4yuFdfupI3Vb4mf3lcW6P07n\nuUeARTKunzNZ3VQIZgcWs+mkRGC2DrvEHB5Rn2T0mxMf4HSYfiaOCya/dwc7ABgfV6Tm5kO3Nx3d\nX5P263s8v78Dw4xe37mtqKOp26d2HVk1WYbU0NAVG0hSrEao+2PAMM44aIzS82dvnmP08zBx2szn\n5e6tAQt06+rqEAikLm842BX4WzGxejuicqwrbBvi/9P0pB+xnVAHJEDSEfufq+tJP/XuL40/B3rq\nc9E9iO38AIP3kzqfar6TInknkyQg5bndftfjud3fd9qeLYka3cSfLEmwSoDtX1ryexrp+Tuj55q9\nPuW1hk8yfKlutL3npt5+bo9tx361PfYZKc+TYN1ksGynwfMO2i6z1xm0y/Dv7M1r0/nbk35vvHlE\n3T54DGqUPT4LLNsKe3/Q6+2FXL8u+KReF5nrSONzerSpvLXG+B11HfIXn3c72Sf+FaN1fq903fgE\n3vNkaHRuNXu+yX8nXZCYBQ16yn8YPMekvZ3/TP5yW+J4IkNP7L8WANb1toNGd4e+aDrI781+1ZvA\nxOw5B3vtod632++P2/dJ0q8kvetbbXsjmvT8QwWIyeelbhsO9bwe75/S+sQ5yGi72d/Xrag0fkpJ\nbE99vi4hsSTatP3bOtuR+lzbOwfLKPQzuBqMS9t3tulrNZ93berxP8L23sHiEwCS3hWfoNvvOmMR\nvfv/2/jzpJ7P6/a7rjc5dIwS/18ePz7G9xmjY7gkd8VH6P4adLWnM8s2Y+8W+BVAl2RYVBXAaaZd\naCbtQHf58uUp20KhEDZv3ozp06en3YDBICLbELV2Fl66Dr0iy5G6Ah/wz+n+hrqe9CWymKzaYwEg\nRQbvnECH83CVF/abDqiRW1sP4ycPXjn1dTAqx5U7AEt1tfkL08mAHIlpdAawPUc37TfcTyRIsP6n\nqPNBLy44BuPJt48K9QCMJhnIsQOyT8w5l22qeS2LdMhCXZMERh8d7m9Yb98/fLDifpdBMkEAiVjE\nyCCKTw7LZ3XfrztrekJhPTaIVVfhiPatpiXtQLehoSFlm9PpxA9+8AP87Gc/61MjKPPMDrMCj5Mw\n/RILXLlgXmd4qBemE8QNsYBPlQ+yMIRFzEUjzAZeRUQ+oBBR2gYimE470P3zn/8Mmy31iiMajaK+\nvn4AmkREREOaybWKqFMkEVHmpD3UqKqqynB7KBTC6aef3u8GEQ0WZrk4K0/WRAdllrkdiKmCsg0P\nJ0SHV68zuhs2bMCGDRsQjUYNpxg7cOAAoiLPu0RZxyIDqsE9eZGzUhYYl7Mw+Cc6uG5Db4joCOp1\noGu327Fv3z6oqoqXX3455fc5OTm4+uqrB7RxRJlkNo2YyNOLmZVYiry0q1nwL2Z1LpkxnRDiiLaC\nSDy9DnSnT5+O6dOn4+yzz8bf//73w9kmIqIhgwM5iYgGr14FupFIJDEA7emnn4aiGK12H2O32wem\nZURERERE/dCrQLeqqgpbtmwBAEyZMgXSQab/2blz58C0jIiIiIioH3oV6N56662J/161atVBA10i\nIiIiosGgV4Huaad1Lbl2xhlnHLbGEBERERENlF4FukbL/pq59957+9wYIiIiIqKB0qtA12jZXyIi\nIiKiwaxXge5TTz11uNtBRERERDSgej2PbncHDhzAa6+9hrq6OkiShBEjRuDUU09FRUXFQLePiIiI\niKhP0g50X3nlFSxfvhx5eXkoLy+Hruuora3F3XffjQceeACnnHLK4WgnEREREVFa0g5077nnHlx1\n1VVYunQpLJbYIpeqquLRRx/FqlWrGOgSERER0aAgp/uC5uZmXHjhhYkgFwAsFguWLl2KpqamAW0c\nEREREVFfpR3ojhs3DrW1tSnb6+rqMH78+AFpFBERERFRf6VdunDFFVfg2muvxfnnn49x48ZBVVXs\n27cPTz31FC666CLs3bs38dwxY8YMaGOJiIiIiHor7UD3sssuAwB88skniaWAdV1PbIs/liQJO3fu\nHKh2EhERERGlJe1A98knnzwc7SAiIiIiGlBpB7ozZsw4HO0gIiIiIhpQaQe6DQ0NePzxx7F7926E\nQqGU3zPjS0RERESDQdqB7vLly7F//34cf/zxKC4uPhxtIiIiIiLqt7QD3W3btuGNN95gkEtERERE\ng1ra8+iOHDkSNpvtcLSFiIiIiGjApJ3RXbFiBVasWIHzzjsP5eXlkOXkWLmiomLAGtcb1dXVuPXW\nW/HJJ5/A7Xbje9/7Hq6++uoj2gYiIiIiGnzSDnSrq6vx7rvv4rXXXkvanqm5c3/+859j8uTJ+Ne/\n/oXm5mb87Gc/Q0lJCS688MIj2g4iIiIiGlzSDnTvvfdeLFiwAKeccgpcLtfhaFOvbd26FV988QWe\nfPJJuN1uuN1uLFmyBE8++WSvA90ffvAChnsboMkW6JKEptoNACRA6vxHlqBD6rYNQDyL3fkcXZIg\nSXLsd/HXIfbaxHMgQZIk6LIECV3vDcTfr9tnShIkOf6+EnQAkix3fb4kQ4IEXe78bym5vZLU9dqu\n33e1TZJk/H/23jxMjuq6//7e2nqdnn3ToAUJjCS0QBAGGQVsEgzGjswaIhJ+tsGAsY2fiEXGxiJE\nscFOII4JcTCxDX6fyAYcL4BNwIt4sMFKHGEsRgghFqFtRhpptp5eq7uq3j+q964SMz3DVM+c83ke\nPTNzu5bTV1X3nnvuWSxJ5G5pX7d7pB8W7PMA5L6zLVZ05+7cd0LVTyGKx5V9jsrPXY7LXwfl7dXn\nud3/Ha4nlcvj1CYqr5Xz6NEyaVRi/28A6eFRAPliKRZglv6EfZRlAZYF+xC7Pd9mt+d+5i9e+AzF\nz/NXy7Xnzyk7HoBlmnabWTyncN/CdQDLMgvXF1bu75y8wqq4T+Ek+xwLFhYO9Oe/nd17Vv5JsTC4\nZSwnHwCYEKZ9Tv7v/H1L5RUo3ksU+qRU7vz5Vvl3Ma2izPa3zcmfW3TDyv0ESvu0+nqF/y37eKvi\n88r/l5LzRa6Pzz0at/8u/kcWnrajfVtLrlO8l7AsWIXfi+2lfVS8F6quj7Lfna/vfM3iM1z8TiX3\nz5/rdP38OflrHEO2v0pni/epYOylH6HsfSwK9k4NsMZxjFOTVdkoHA6quo7TMZXXcbiXy7UvSWRK\n5Cln5NWnXO9bJbubfML1jwqZjnFelezC+biq67t/dqzzLogWMzdZEIWPLQgM7n++RO6SOaxwGVG4\nb35OtUrG8sK8XXJ82fxT+l3zc3b+/vn5s/T8yr8hyuXJz9Ulc2hh7s1fs2SOFUDJXFSUaeW+4dz5\n9jlW/rsBOPLzgSpdwL6GBFGib0ASgGTrCZCKOoAlSZCEZPeblNdbbH0jr7MUri8Vryny98n1i/Mx\n9t/569rqhwRLyv0upMLx9jlS8VrvMhNWdBOJBO68884qlwUv2LlzJ3p6ehAOhwttS5cuxZ49exCP\nxxEKhd7xGn+x/b/fTRFnDNce68Nnp0uK+uK2Y3341LE+nL0sPNaH/zNdUtQXJ3gtAMPMUI45nhDl\nmOPJi9MlxfRi5hYZeWNb4acQ+DyK7fed95marj9hRfe8887Dtm3b6qJwxMjICCKRSFlbU1NT4bPx\nKLoHm7oRSscLlh/ZNjEBsC0bImfRKFqvrIIFRlQcJ0qsHcJyXYczDOMBto2zaIEp2KJLdzEc2ouW\no5yNUhR/AkDeNl1i5y5amkqsQPlrVN6/zJJU+XseUWIfLbFEOVnqSu9Tfk/384oWuQpL1zse69ye\nyhjV3yFHQJOr2sqsxsXGqhbhaCR2aBznceO+XtV573yMfanicZms6Xh9YQGqIjl+Nu57ln1Wff1a\nPqvl3lX/28c4T8CCYZbvDhWvkZuLC2I57JhU7lJYJb9XXq9sPrbKd1FQ/v3y1xLj+Jzn+KlBKttp\nm/rrT1jRXbhwITZs2IBTTz0VPT09VZbdm266acqEq4XCNuh4tqYA3H7ZJrynfzeyip1J4o5rzpxa\neUwTlmnZW7W5rdnC72bJ9rVh2hOxadj/12Z+u7TkfJScY9r/LMssbmcXPsu3lV7PPh8l94SZ25K2\nLDz1wltlyjpQfLnPe++83JcpfCn7R+Hvkq3W0h+lW6C5cyq3Sgtb5O/w06o4D5X3rvyJ8vMKW9xV\nx7lf56XdR8oGx1JF59STOqq2voouI4XG4laSKFcKRH4rrPQfShSj/LZUqcJUsl1W1MGKLjO2O0vO\nNQbIeWDktqPy22i5pjI3mdLvkdvCKmxlFe5vb1U99uvdZUpeYWkngL++YElxayv/PQpbYvZ3ELnf\n7XtIJf0gFb8fkNvayn9vKdcdFTKLYj/m5RUV30tIxa2xoso5tWz6jrspe6rHk5kC90k13CfVzKY+\nyc/1AIpzbNm8YxU+r3RpKz3+64+8VFw2VxjRbrhoGUzDSRcwi7pFqR6Q0yNs2Up0gJwOAtOCaZlF\nfQI5vcAs6h4FN7oSHcY+xix+h8rPSr6PlZMPeTeogg6Sv09R18l/Xtq25+BolW4yUSas6D7yyCOQ\nJAnbt2/H9u3byz4zDGNaFd2WlhYMDw+XtY2OjkIIgebm5pquGYtVV3ubekqVmVyTg5Gj8ozSn1PN\n/l0Z188a3nvKu3TX+mb7o390/ezP1tLskyP/N+z6mdoz8YwrbkPXuIc0K/fPLP2jfpie8WRmwX1S\nDfdJNbOzTypmcoeJXVd9rmdbkcZ3XReoN/6/knnY5xA3Mx4mrOhu2bKlqm1gYACPPvooHnvssZqE\nqJVly5ahr68PIyMjBZeFl19+GYsWLao5UM4w6muirAe4T6rhPqmG+6Qa7pNquE+q4T6phvukGu6T\n2phURNmLL76Im266Ceeeey4eeeQRXHLJJVMl17hYsmQJVqxYgXvvvRexWAxvvvkmHn74YVx55ZXT\nKgfDMAzDMAxTf0zYoptOp/HEE09g8+bN2LVrF4QQ2LhxIy677DJomvZuyHhMvvGNb2Djxo1Ys2YN\nwuEw1q1bh3Xr1k27HAzDMAzDMEx9MW5Fd//+/fj+97+PH//4xwCAj370o7jnnnuwbt06vP/97/dE\nyQWAzs5OPPjgg57cm2EYhmEYhqlfxq3oXnDBBTjzzDPxpS99Ceeff75nii3DMAzDMAzDjIdx++i2\ntbXh9ddfx86dO3HgwIF3UyaGYRiGYRiGmTTjtuhu2bIFv/jFL7B582Y89NBDOP3003H55ZeXlwpl\nGIZhGIZhmDph3BZdWZbxoQ99CP/5n/+Jn/zkJzjuuOOwceNGxGIxfPvb38b+/fvfTTkZhmEYhmEY\nZkLUlF5syZIluPvuu/Hcc89h/fr1ePbZZ3H++efjU5/61FTLxzAMwzAMwzA1Mak8uk1NTbj++uvx\n61//Gv/8z/+MeDw+VXIxDMMwDMMwzKSYcB5dJyRJwgUXXIALLrhgKi7HMAzDMAzDMJNmUhZdhmEY\nhmEYhqlXWNFlGIZhGIZhZiWs6DIMwzAMwzCzElZ0GYZhGIZhmFkJK7oMwzAMwzDMrIQVXYZhGIZh\nGGZWwoouwzAMwzAMMythRbcE4bUADMMwDMMwzJTBim4Jmuy1BPUHK//MeODnhGEYhqlHWNEtIW14\nLUH9YXktADMj4OeEYRhm8rgpZWyHqx1WdBkAgObyJPj47WIYhmHeBdx2gihPO7w7NvWwossAAHTT\nuZ2t3EwpqsuIwW4/TCluzwMvnJlS3JQ6yjtEsss7ovC7UzOs6DIMM2koT0xMNbrLAtmtnaGJi33F\ntZ0ClsuXN3mQrRlWdBmGGTcZl0E4wwoMMw54rmaYY5NxeUncxl7mnWFFl2FcYP8xhmEYZjpxm19k\nos67UzHfsqJbgltAFgXCfsWxPRJwbqdA2O/8ioUCrOoyDMMwzLuNNAV6GWHVrhrKPjCai5avukUf\nESDtsh+fZkdDhmEY5l0g4GJgCbq0z3amwmWDrrnOgSxhRXd0THdsH3Fpp0DWRZ91a58VWJb9r/Tv\nkp+yaZR9LmABFiDBAlKpivPy55ZcR1gQFgAhStoELFE8HBZsv5GKY5A/r3BQyTFCoPiJKB4nRNEH\npbSt7JiSz0uOqbpO/mBRfi3JryGZLb2QTVADrECg4vxJMCVbl+/e/qdVcu20FnQwHFhQJMAKhcra\nnH4tewad2io/P9bfDnKM9z6i8uRj3qfys/I/hVmcsQtPU/49yejl74ll2Z8JJ/Gt4lVyx1Tf1yoc\nIiyr4t0BLFiwXzqUvyOlzzzg8Pyj/D0Z7zHMuNFUGUhVTzKawuparZDvuYQviJFwc+Fvs6mpfILN\n4zagjXOArRowxzvAT/K+xxzUS/7OQioMdqKk3cgrHU44TRIT+vzYH0/oWuO52Dteo/xYzcpWrCbt\njlAUARi5gahSkTqmouRwbJlCVqp4idy3qlasXM9zOLZU+YAQxX2gYyl5klR2nCWKf+/viCJj5doA\nmLnzFAnInHFm7hyp/BpSyXUrZS98R6d+GOfvVf0wvby1U8GRaLaqvaNRRebsP/VAIu95/X8yOeW/\nnKAKZNacPf0C1QH/tz3gOEpJAPSPnOt8UsVCs7AQrfz7HY4pzD9Ox1iWvZ1Z+N0EUPJ7yU+RV8Yt\ns/z4vGIOq6q9/L7l32sotK9M6beEKMw/Zluby7zmsBh36gOH+xbnYWd5HPu16jrO93Ds42N8d7fr\nZBIJqCV6bv662ZgOkUqisEbJLfDLfiJvMRDFawqUf5fSY0sXSvlFUamsFecUDRKV429R2rL2yms4\nfebWnmsTplm8bPUR44K8opv0hfBqz1IAdo7H7BmrPZbIG/74ogqHeQmKBOgfdBmEZzm/29kAw2Hb\nRJWBqy+k2SeHGvfByaAtA7C6uqdbnLoglnJ6c4BYMjPNktQPbktK0u5hsnNecu1Ys/CxlIAJMFXd\nPtX/ffvmDDluTWsykD3t9Cm+28zgNzsanOdiAVz50XOrFej8727tE/lZ8vs7Ku75HYrSl7rQlvtp\nmc7tpbsbZsUCqeL6fS1DxWvV+B6QV3RL0VSvJfAOVQGyDm8X5QTvws03aDa7LtQI5U3KYEBBUq9+\neUJBugOKm3uP08KRCm7RDoKw8u+qtxAeUJyXzSWulVO0+HknpuuxfKf7HGo7MGm3UrqRRg74fKz3\nVzKR3f7Zhps+S1nPlVzG1qmIjJ2pSML5ywvCs7XbxJQlrOgKl+lFprseclVACNtXXEcNqqPJVEwt\nhKenaiSyjxIc/ekAIOG2vCSAW95CN2WPAj6XSdmvTa8c9UTC5eVJuLg0UIDwK+JKKu3cnkw5t1PA\n51Ir2ndMf47ZTdBlLA37pleOemEqkgSwolvCWJyuTx1Tjeqi1PkIK3VuPpYmYTN3Y9j5gYi4tFNA\nddF0Kecqd90NIbwq8LmkzPITTaUFAJLLyyMpNB+UqXApJTzsVOPko8rQRXfJrOZmmaGAm48l5dR8\n8ZTzg5JI0k3NJ7voKQpd/QUNIecvHwnTtV6m0s7GpaTLO0WBeNx5MI25tM92pmIhyIpuCYSNUlBd\nJiCXnSWGKKzAVGO5mLnd2ingUmsFacLGhM6mkGN7V7NzOwXiCed3JOHSTgG3dLkKUV9uYwoUM1Z0\nS5AJ90bYpdRvQ5CutcFtwCHsPuZu0aW8SuTokSqCfucvHwrQHWSTLhUVKftyuy2QZcJjbMjl3Qn7\nab47U2EvoNlzLlC2Xlou6RUoW6VaIgHn9ibndgq4Bei5WXopkEy5WKVc2ikQCTlHzjS5tFMg5uLz\nFEvT3aYPBZzNlOEAXf/2RNrFdSFFM2VJJDh5NZUV3RKCQbqzdUdT0LG9vYXutppfdX49AoT36d1S\n8PlVuiYYN8Mt5cE15eK7kHDIN0yFtgbnBXIb4YVzV1vYsX1OO915By76rExTz0U46J/0NWbEWNzb\n24sPfvCD+Ku/+quqz7Zu3YrLL78cp512Gv7iL/4CTz75ZM33Ma0Z0R3vCpJL1vLq0sV0GIwlHduP\nxhLTLEn9EPI7K7RhF8sMBRSXKGlFo+u74JqdY3rFqCvaml0U3Ua6im7SxZodIxyMprkYWBSiKUu0\nKTAs1X3PPfnkk/jc5z6HBQsWVH125MgRfPrTn8aVV16JrVu34otf/CI2btyIV155paZ7KUrdd8e7\nxt6BmGP7vsNj0yxJ/eD2NEgWXQVmNO48AQ3F6KaiCLqkQgq6LAooEHZxZG8gXH5yMOr8jri1U2Bw\n1NmYMDRKN7mw5pZbmGhBK30KqszUvWan6zoee+wxrFixouqzJ598EscffzwuvvhiaJqG1atX49xz\nz8UPf/jDmu5lEM6RFHCp9etmwaOA5hLmqhHeppddnHQ1N+ddAvhcohZ9hF1cmiLO241NjZPfhpyp\nWC6RnCbhSM65bQ2O7fM6ndspkHXRQzIZmvshpklA0b300kvR3t7u+Nkrr7yCk08+uaxt6dKl6O3t\nrelekkRX0W0KOU9AbkElFAi4rKz9hKMWF89tdm5f0DrNktQP8ZRzLtB4km4BGrfS4RbNuRoAkHFR\ndLNuqUwIcOK8Jsf2E3oap1mS+kFIzs+DcHEvnO0kpyAn4Yw2TY2MjKCrq6usrbGxEcPDwzVdLxL0\n03VfcJmZhEXXpeNo1Hn77Gg0RbZPsobzc6JnDLJ9Eks5W+RiKbp94paWMBySyfZJwi29mE73Odl7\nKOrY/vbhMbJ90tUaxkisul+628Ik+yQ9BYl0PVd0n3jiCWzYsAFCFLc+LcuCEAJ33303Lrrooglf\ns/RaEyEQUNFMNHm37hI9kjEssn3SEFIRT1f7z0VCGtk+Sbn4S+lZk2yfBH1A1CE+MRgA2T6JpZ2f\nk3iK7nNyXEcYh4aqF89zOxvI9slQzHnXY2gsQ7ZP5nU2YtfeakV3fleEZJ9EQj6MJZx9uceL54ru\n2rVrsXbt2prObW5urrLejoyMoKWlpabrHR1JYHg4XtO5M520i7UhmTXI9knGxXdOz2bJ9olbXmXD\nEnT7xJLglE/AMmSyfTISdZ6YRkZTZPtkTqtzCseulgDZPjlpbgR7D1UHQi+eFyHbJ20Nzm6EbRE/\nyT6Z1xHCwSMzXNGdDMuWLcNPfvKTsrbe3l6sXLmytguaFrJTEOE3Ewn5VBxBdUR9g6aS7ZOmcACD\n0eqsEy3hANk+SbksiFKpLNk+afBrGEtWW+oaQhrZPsm4Wf4Nk2yf7No34tj+2r5Rsn1ims67r6Yp\nyPaJzyUGRJVlkn2iSgTSi+Vxqty1du1aHDx4EP/1X/8FXdfx3HPP4be//S2uuOKKmu7R2uy84qZA\na5PzKrKlmW4wWleLc37LThfLDAXSLgn/9QzdwCtIzsOoIFwDeG6HcyGAeR30tl7zWC7+7ZiCqPKZ\nStbF/9IgnIniyIiz9XLApX22k9QnP7fUvUX3ggsuQH9/PwzDgGmaWLFiBYQQePrpp9Hd3Y0HHngA\nX/7yl7Fp0yb09PTgn/7pn3DiiSfWdK8ewgqMJDlPypKYMWuhKWf/gPM20T6XnMMU8KmciaKSoFtq\nPh/dnLFuuS/TGZqR4wAQCTk/Dw1BuuVu3UpCRxro9skbfc6W/7f6R6dZkvpgLEEg68LTTz99zM9X\nrVqFn/70p1Nyr6mowDFTaXQZcBpDdAccN4McXTsd0Bj2AahW9O12msztaMAbfdUuLsd1OVs1KdB3\nxHkx2H+UbgEa08VoYNUYPD0bcCsMMTRCt2CEWzn1IFFjgum2EzIB6JrrHEhn6NZhT7nkAk26tFPA\nzcLf00p3+7Ul4qzQthJWdN2U/AhhS51w2SESCl2lLuPm9uPi906BsZRzn4wl6c7FgEvAr1td7VlO\nKjP594MV3RJGXVKdUKDvqPM2ff9Rh7xJRHDz2iDszYHBmHMJ4CNxuu+O36UGPVULDAC0uFRGHAZ1\nlgAAIABJREFUa2tw9nunwEjM2Urp1k4Bw6UIguWi7FHArcik7LJ4nO3MaZ+8YYnwlF2NptLtjgYX\nS13EpZ0CHU3OL1gnwVyGeTobnRWVrma6pV2TLgUjEmm6lrr5LiVcj+ugW9q1u83ZlWWOS+AeBYIu\nBRAo+/w3hp13gppc2mc7q07qnPQ16Gp2DgQCde+y/K4R9rlUMiI84CguS2uXIHsSLJ7vXLLzJJfS\nwBQwLGeF1jTpKrqWq/GJrqXOLeCXcnaOsIt7D+UAPcPFJ5VqqeigX5n0G0J4yq7GyNIdhOEWEEF0\nu8TG5fWw6L42SRefuniSruuC6/NA2Mcl4BZQ49JOATcFxiScXqzbJd6hm/CuWcatKA/RdXP/YGLS\ny2O6I7EDQT/dQVh2eZQo67lDUWe/5eExun7Lb/Q716bf49JOAuGsqFgWXQUm42J9cpvEKXDmUuct\n2DOXdk2zJPVD35DzWHpoiF4FsDyULfxO9A9O/llgRbeEjha6eXSDAWdf3JCf7haSWxIOgsVpCsxx\nsbS4WWYoILtU7lGmoKLPTOU4N3/UKQgsmakoslylwggAskz3Ocm6FqAhar7EMQLxiOq/Yf/k85Gz\noluCWy5Z0hB9uQAg6OKzHXLxZ6ZANOGcdSFKOOuCW4aBpga644mbopLJEF4lCguiwkVMCAG4ZB6g\ngJsvboRo4BUAqC5BIArR7dUFcyKTvgYrujmEAOIJupO1m0ZruUeVzHoCLoF4PpdKWBSIueRVTqSd\nFWAKuFVGCwbpPidjLj7bY0m6z0kimYVZUcretCzS/u1+F6OBj7Avt+Yy7yguVSlnO6Ox9KSvwYpu\nDsty9yujwKIe51XTCcdNfjU1U/Frzlsmfo3uINzsUhyB8m7IoEt1p0HC1Z0Ul7RRikx3yslkLUfX\nhQzhIOhU2nnOTRIuouH2NNBUc4FX9w5N+hp0Rx0Hxly2ZUlguUQEu7QzNMm6RI5npqBM40wlEvJV\nBW1KAmgM080tnEo7+166tZNAVHtfWqA9CTe7uPe4uQNRoKvZOVaog2gcxFTkraf8jlVx6KhzfXYK\nHHaJfh0YTk6zJPXDvI5wVS5dRRaY10U36b3ukuMmSzhCb25nuCpHqiQJHNdGc2ICANnVokvVLuXu\nn0x5J7F/2Dmi/tAg3bm4vcm5KE+bS/tsJzAFroKs6JYQJJykem6nc5T0XMJR0nPawwhVpJwL+RV0\ntdDtk4hLdg7KCd6jyYzjgsjNT5UCczvCVam5hXAfZyjg5t9OeScx5vLdKftyj7iUWR8dm7yv6kzE\nrT8mAiu6JWiErQ37DzuvoPcN0F1ZRxM6FEWCLHJpgITtezgWpzsIz+90VvLnd9FVYCTLQrrCWpfO\nmBCE3X7CPrUqSlyRBOlc5SmXVFpu7RRQFefnQXNpp4DbwsdtUTDbCQc4vdiU4iccTT8YdQ6cGXIJ\ntKFALK5jNKbDsGxfOsMCRmM6YoStDQcGnV1cDhyhm+D9jf5odQSJBbxJuIiGnjUgSfYiURL2IlGS\nJNrpxdzWPW5VKQmw6qQ25/b3tE+zJPWE84NCddmcmQK3OFZ0S2htpOsAb7j4iWUJV3c6Ek1WBV9l\nDQtHCUfTuw0YhKvdoqsl6Bhk1N1KtwCNnjHh1ySoigRFsX/6NQk6YX/UxfObHYMWlyxo8UagOsCC\ncOwTk3ACd7d4hyzRUtHGFNQ+Jjw9VZNI0d1CcpuAKKe+GXMpghAlnG+5Iaw5+qM2BummF9NcUmZR\nDrxa0B1B0K/CtExYlgXTMhH0q5jfSTeQ86R5LZjbEYIi28qdIgvM7QjhhJ4mr0XzDstCdQ53Abr2\nS+Ckec2OPXLSXJrPid/HrgtTShPhXKCrT3aut37Wyd3TLEn90BJxfh5aG+k+J+/paUJjWENet5Ml\noDGs4YTjGr0VzEP6B5OOE9MhFzcPCvhUGZoiYFoChmnBtAQ0RUBT6Cr/Pk3G/7tgCc45ZQ5OeU8b\nzjllDv7fBUvgI1oIAAASKQNOfj9xwkYnUwgE/eXPRNAvwyRavKmrZfI7Y3Q9visQANJZukmqmyMB\nqLIoy4eqygIRlwIBFHArjtBEuE98qoxs1kB+A8Aw7a02ygqM3y87ui5MRVqcmcrBozGMxDJQJFvZ\nlQQwEsug72gMx8+huyg6vjuCprAP/SNJdDcFXPPIUkFVJMiSgFky78iSgKrStcG1RfwI5KyYetaA\npsgI+lSyrpWyKkFTJeiT8O9nRTeHBSBL2H8slszkgiJKpmwhSJen3LF32LH9lT1DeM/c5mmWpj7Y\nsWcQ0US5tSWayOCVPYP4k5M6PJLKWzqaArZfYcmrIwm7nSrD0TRSerYskMRCFsOxNI73UC6veaG3\nH8/98SCSuoGAJuOcU3pw1nK6u2bzuhqgKBIM04Bl2VOQokiY10HXxcUCYFkmEinD1kuyBvya7FbT\nadYzpyUETZFgZM2aHVroLpucIPogAcBINA3TLO8A07QwTDR3HwAEXOqtBwiXAH5t/1DVgGtZwOsH\nnBcFFNAUCb6K+vR+TYZC2CoVCqg5lwUU/hmmhQb/5P3tZirRuI6fPv8W3j40hsNDCbx9aAw/ff4t\nRAmnK0xnDDSFfNBUGZoqQVNlNIV9SBMuARxP6BiJZQrqiAV7NyRONL1YWjfgU2UIIWpOUEJ3JK5A\nAKS3S+zvXr0BqxH2Hzt9SYdjRPDpS2haLgFg8VznCPGT5tGNHAcENEWCX5PhU+2fqiKhOsiGEi4l\nxQlbE3a+PYzRmA7LQuHfaEzHq2/TXSTCAiJhDce1h9DdFsZx7SE0hjTSr87Lbw06Gp163xrySCJv\n0bMGsqYFWQKkGjVduqapChRFIu172dUShKhwXRBCoLOF7vYrYAeQpNL2FpKAbakz6c7V6HQJDHAr\nW0kBTZXQ1ODDWNzOuSwLoCGkQXMpg0uBeMqALAlYllV4d2RJIJEkbKnTM7AswCzZEpEgkCRcMKK9\nKYCuliAGhhPwyzIMw0BncxBtjXTHk5awvzrxhABaiProAgJpPQs9a7HrQq1Ikh05HgmqCBHeVhsc\nTUGVpcJCWgBQZQlDUbquC2/0jSLgU9AY1tAQVNEY1uD3KXirb9Rr0Txj+xtHHdtfftO5nQLtjQG0\nRvwQubdHQKA14idbmx4Amhs0+DUFmiJBU+ScxVtBU4RuqejFxzVBkkSZRVeWBE4inLHEp8k4e+Uc\nzOtsQENIxbzOBvzpyjmkM1Es7Ik4ZnE5voum37KeycIwMCkrP3lFN6AqaAgoaAiqaAjRHYQ1VYIJ\nW/HP/zMB0lapE+Y0QhICkhBQFQmSEJCFwAk9dCemlIvvnFs7JfL2hoLdgbDlv6ctjEU9EYT8KoJ+\nBSG/ikU9Ecxpo1sqWlVltDZoBXcoSQAtDRoUwkodAPQdjWPvoTEMjqSw99AY+o7SrbII2FVKKxV9\nnyZjiGi8TDyZLSi5teq6dLWYHFnTRDpjwafKpB3gNVWBItnuCpIQEEJAkUA6bVR7UwBL5zcjkc5g\nLK4jkc5gyfxmtBLeVjtjaSfkCsdlWRI4c2mnRxJ5z5HRJAZHU/a2tGnBsuwdkqOjSa9F8wyfJuPD\nqxfgtMXtWDy/GactbseHVy8gbakTALImEA6oCPhkhAOqnaaPsD9qNK7jhR39sABoqp2m73c7+kkH\n6GmKjGyFf5xhWPARNTqFgiqkXClxqcYuIO+ja1kWTACHh5OkBxxNldDWGMBYosTPMKiRDtBL6wb2\nHh5DJmsWfOv2Hh6zo0A1mhN2W2MA7U1+DAwnYVr24NPe5EdLhK7yr2dMHB1NIZ0pLpT1rAl9Cmq0\nz3T8mgpNU9miAuBoNAXTshBP2RH1esaAokgYGk2hneji+eBg3A68suz+gGXBEED/YBwRsjusdn9I\nAgX/dsuiu0EUDqgIB1SMxvWaU6yRH38yhoVM1kRKN3CYcCWj9sYAFnRH0Brxo7nBh9aIH8d3R0j7\nGb52YBgHc9toIhft2Xc0jt2EU2kdGU3Cp8loCNpWqYagCp8mk7Ze6noWWcOyA69y/7KGBT1DN8go\nrRvofWsQesZAPJWBnjGw461B0rtmkYCKsUQGpgVYpp1yLZbIoCFANzakpzUEPWNicCyF4bE0BsdS\n0DMm5rSFvBbNM/SMiaBfhioLKLKAKtuV0nSief4jQQ3hoIqwX4W/xiI85BVdwE5SbRgWIKiumeyt\nxhN6GmFZKFgwF/U0kt5q3D8Qsy3+OWtu/ueBgZjXonmGnjExMqYjpRswTAsp3cDImI7MJKrWzHR0\nw4QiFxdDQggoMpDJ0h1PRhM69h6K4vevHsYfXzuC3796GG8fiiJKNBcoAPQPJwDLsjcORd5SZ+HQ\nMF0Di0+V0RLxIR8GLUGgJeIj7TK3oDuCoF+FJEuQJQmSLCHoVzG/k2YwWipjwK/KSGXKC9BMBHZd\nsADDAiDRdpZK6wZeev0IhmJpGKaFZDqLl14/glUndZDdpl86rxk/hUDpfokQAksX0KyKBgCwLOhZ\nw14MwX5jJMmARXiR2N0aghCSbaaDvd8ohISu1snXaJ+pCABv9Y1BzxoQELBgYU/fGOERFhCWgKJI\nQLaYrlBRpEK2DoqMJnQc1x5Ga8SPeDqLkE9BwKcgmtDRrtHcTfSpMrpbg0jr2YIbYXdriKzyLwAc\nGk7CsvJvzcRhi24O06KdYeDg0Rje7Isikcoglc4ikcrgzb4o+o7StV6GghraGv153QUQQGujH0E/\nVd8xO3m3aeaDFu2fpgnohLek07qBcECBqkj2VqMiIRxQSG/T9w1VR85bAPod2qlw4nGNdilTE4V/\nmiLhBMLpxRqDGkbjOvYfiSEaz+R+6oT9c23lP+xX0doYQHODH62NAYT9CtndkP7BOLJZw35njNoM\nKuQtuoDtuiBLAnsPjeE9c2la64bHdCRSGWRLHiTDzGBkjObLBQB+VUbApyASUKBnLWiKQMCnwE/Y\nnUPPmFBkYfukAhCwoMgCGcpVNIRthfFpMgzTgiwJ0i4/ANDg16AoArKkFJLfSxLQEKCrwABA0K8i\nnTFhmhYkSSDoV2sOsJlNZDImYskMfHmrJeE+8asyBkaTuepoFkyzGBtBEU2WkDUwqWeCFV3YO9OS\nEFh2PN0ypqoCmBXuL6ZpZ2OgSjShI6VnkTFsy2XGAFJ6FtGETjbncndbyK45XiiOYPdNdzPdbfpI\nUEM6ayCdMe0UUobt3kH1GQGAnrYQ5nc2YN/hGISwK6TN62xAN+Ego4ODcaiKhIBPhmXZBhZVkUhn\nGBhN6Dg0GMfBIzGYlgVJ2AFYlF0XUhkDlmmhvyQ4fm5HyN4hIjjMapoCVRFlRriJQl7RFbmggIBP\nRoiytcES8GsS0hmzMAj7VAkWXfcx6LqBjGHBr8kFq1ReiaFKfpveMMzCxBQOKEhl6PZJNKHDp8oI\n+gxYloAQFjRVxlhcRyRIc0zJ59F9afcRJDImgqqEU9/TTtrS3RbxI5GyM3HkvQ2TqSzaIlRLuwKZ\njIE9/WMlqfgs7OkfQ4bweCIADEbTZfPOUDRN1pNbUyWEgyqyhpWzck8c8opuZ3OgsO1IeWW9oDuC\n9qYgovEUDFNAlixEQn6ykZ6AncA87FcQT2UghATLMhHyK9AIT9b5bXq/Ty7k0aWsvAAALMCvKfa2\nq7CDFyVJUI5tBQAc3x1BU9iH/pEkupsCaG7weS2Sp1gAQj4ZfYM6LFgQEJjTGgDdfCXAa/tGkK1I\nm5U1TOw+MII57TSr6B2NphD0KYV8y0IAAZ+CwWiKZLrPSFBDfg9RkmobVMkrum1NQWSyBiQB0rn7\nIiENf3bacfjt9j7ohglNlvCnK+eggahFCrAroy3ojuDQYKJggeluDaKNaHJ3IDfoFKrnFV0XKG/T\ntzcF0NUSxMBwArIswzAMdDbTfk4A4IXefvzulUOQJQmGaeJ9J3fhrOXdXovlGQJAPG0gHJBhWgKS\nsJBIG6QXRKoiVbleWgAUma7LXE9rCJIkYFpWYXdVkgRZ/SQa16EpEoJ+pWY33bpXdEdGRnD33Xfj\nhRdeQDabxemnn47bb78dXV1dAICDBw9i06ZN+OMf/4hQKIQLL7wQt9xyy7ivr2dsJfd9y7pJK3WA\nreifOLcJyYyJgCqRfbHy+DQZZ6+cw9uvJaQyBpobfBgriQBubvCR9R8Dis/Jy28OwoSdymbFolbS\nz0m+tKthWDCEXUTjdzv6sXxhK9lds6PRFIJ+BYmUBSW3QxTwK6Qro7U3ByCJXIrPHJIAOppp9geQ\nD2yVkB4uWrp9zRLZ9GIQgN9nZ7WpLI08Xupe0b3ttttgGAZ+/vOfAwA2bNiAL3zhC3jooYcAADfe\neCOWL1+OLVu2YHBwENdeey3a2trw8Y9/fFzXn9sZho+VukIlIyGAkF+BZZrY8dYg5rSGyEZ75pFk\ngZCsQFAOBc7hV2Uk9SyaG3zImhYUSSClZ0lnogDsbfp5nQ2AIgNZA3KNW2yzhYODcSSSWcRSmUJb\n2K+Sdg/raQ0h6M9lbcm5uMgyXUsdYKdX01QZKd0oWC81VYZKONXnkdEkAIHu1mAhDkJA4OhoEj0E\n3TnaGwMI+RXsPTRW8wxc909Td3c3Pv/5z6OxsRGNjY1Yt24d/vCHPwAAent7sXv3btx6660IhUKY\nN28ePvGJT+Cxxx4b9/U7WuxEzNTLU44mdAyNpvD6/lG8tncYr+8fxeBoimzuPqCo/Ocd4E3TIv+c\npDIGApqMkZiOeDKLkZgOvyaTDkbL49NkdPHCEIAdeBVN6IgnM4glM4gnM4gmdLQ20g28ioQ0nLWs\nu+BnKEmCdxItQFNk24qpSvCpMl3LZZ6cNqcoEkIBzS4yApB2cSlQo6Zb9xbdv/u7vyv7u6+vD+3t\n7QCAnTt3oqenB+FwcZWzdOlS7NmzB/F4HKHQ+FfKhmmRTmniV2XsG4iVKbbpjEF60s4r/wOjSSiy\njKxhoKMxQP45Seq2+0I+bVRKN8hbdJly0roBy7LKKuj5NYv0IhGw3cMW9kSQzpi8kwjbetsU1hBL\nZgrPSTigkg74LfX5B2xXDso+/0dGk4insmiJ+Atl1idK3Su6pRw4cAD33XcfNmzYAMD2341EImXH\nNDU1FT6biKIrS4Lslhpg+9Sl9CyS6WyhZKemSKRTJOUTd+cTulsW7cTdgG3R7WgM4MhoshB41d4Y\nQCpjgG5+DqaSWEKHnrXsYKPclnQmayGW5B0iSeQKRbB7GAf8OpD3+f/D7iNIZgwEVBl/Qjk2JDf/\nSpKAWqO133NF94knnsCGDRvKNHXLsiCEwN13342LLroIAPDmm2/ik5/8JC655BJccsklrtezclrJ\nRDR/RZGx7PgWhAJqjd9i5mNYJrKGhYCv+EgYhgXDsopbJ8TImiY6m4M4NJSAnjEgBNDRHIRh0O2T\n1ogfbc0BhEMqUhkTflVCQFPQ0ugn2yd5MoaJQ4NxSJZJ2scQAAxYkCVbuQUAWMWiNFSfk6GxFIbH\n0hgYSRYyUXQ0BZBIZxEK0px7FEXCB/7kOLz42gDiaQMhn4zTTuogPRcDgCxLUBUJkixBFvbfVN+b\n7rYQ5rSF0Hc0Dr1GFznPFd21a9di7dq1xzzm5ZdfxnXXXYdrrrkG1157baG9paUFw8PDZceOjo5C\nCIHm5vGV8j131Vw0hX3w+zzvCk9pTxloDNvR9HkLTENQQ1trGM3NNLfXAkEfAoGDUGQJmawJRZYQ\nDKiYd1wT/Brd52X+nEb88n/3Qc8Y0FQZ550xD10dkXc+cRbz+v5hvLhroFDa9bTFHTiRaDlxAFi8\n0C6aYZpWWb7lkxa1kR1PhCJjOKZDlmyFRZYkjMR1dHSE0RQm7Lsc0xEMaIDIIOhXEYn4yT4jAJBK\nZ/F6XxSqqsDQs1BVBW/0RXHyCe1k9ZRTTurAkZF9M1fRfSfefvttXH/99bjtttsK1t08y5YtQ19f\nH0ZGRgouCy+//DIWLVqEQGB8Wx9drSFEo0kkE+kpl30m4ZOAeZ1hHBiIIWvYSt1xHWH4JGB4OO61\neJ6Q1g2k01lYVn7SNpFOZzEynCC71ZjWDfzxtQFkctXhMln776Vzm0j3yfMvHQAA+HwqkkkdL7x0\nAA2aTLZPRkeTWNBllwDOR47P6wxjdCQJjWhQzcBwAs1hrcyi2xoJYGAgBotoMGfpuxMOakinM+Tf\nnYHhBA4cimJgOAlZlmAYJjqaA9h3cATtBNOupXUDe/tGMa8zhHSmtvIqda/obtq0CX/5l39ZpeQC\nwJIlS7BixQrce++9+PznP4/Dhw/j4YcfxjXXXDOhexiGiWyWcn0a20d5YXcE/UfjEEKGJICF3RHI\nQpDtm8FoCg0BFf7OhkIRDVWRMBRNoZ1ghRoA6D8aR99Re+GjqTIyWQP9R+M4NBgnmfoGsJ+TbNYu\nnZ0xdMC0IARIPychn4p5nQ3obA4W3h2/JiPoV8iOJyGfiuYGnx3zIAnAtKDIgnSf5N+dTNbESFyH\nj8dYKJKEw8MJ23XQtHNQDwwnoEg05+LBaApHR5IYGLGDwmuhrhXdQ4cOYevWrdi2bRseeuihQpS3\nEALf+c53sGrVKnzjG9/Axo0bsWbNGoTDYaxbtw7r1q3zWvQZR1o3MBhN4YTjGiEkCZZpYiiaQlqn\nm3mhMahhNK7j8HCikHWhqzlIOmiRU9xUk39O+gfjyBenn9MaIv2c+DQZyxe2YufbQ2jyqdDTGSxd\n0EI3oAblfaJxnwCw350DR2LYdzhWmN/ndTaQfndSuQC0/SPxQp/MbQ+RDfj1qzIGRopB4bVQ14pu\nV1cXXn311WMe09nZiQcffHCaJJq9jCZ0mKaFrGFC1w1osl3mlXIqrTyWaUE3jWLBCMJ1I9obXVLf\nELW+5BlL6BgcTRX828MBlfRzAnARDSeO746gszmIaDqLiE9B0F/XU/C7TjpjG1gsy4JpWRAAhqJJ\n28BCdAHgV2UkMxUpHAmn+izN9FMrtN8ypoDzyjpMemU9mtBhmRYyhgk9a0JTJJjE8y0XU98MFEpF\n/8l7OshOSoCdcm5wNGXrtcLWbwdHU2QrGZXi02Q0N4cwPBwnue1ayZ7+aFWp6OO76QZyHhyMwzIB\nCxZgCVjCgmmCdAW9VMZAR1MAR0ZKUjg2BciWWW8Mamhp9CMYUKAbs7QEMDM9pDMGhqJpoJDN0MJQ\nNE1+Zf36wVGMxNKF3MLJNN2VdSmKLCMky/VfWnEa0HUDsVQWAoAkSTBNE/FUFnqWZoBRKWndwKHB\nOFt0YffFb7b3leWMHY2lSefRbYv4kUhni7sfFpBMZ0lX0GsMamiJ+BHyq0gbJnw5/3aqir9Pk9Ea\n8WPrK4cgSbXNOOQV3d43jvAWEuyVtaZKaFH8hTrsELRX1kdHU0ik7EHYhL2tlkhlMTiSIltEI5/0\n3t6e15BM6uST3muqjLBfQSyZgWGaEABCfoV0dSfAtl6+8vYQfD4V6XQGJy9oIW29PDKSxNv9UcRS\nGUhCgmmZSOlZ0pZ/C0BrxIf9A8XMPnM7ApPyx5zpVCp2pmli9cldZA1O+fihRXMabV+5GqCt3QH4\n/jOvwTBNvO/kLpy1vNtrcTyjpzUESRKwLEBV7Gh6SYB0icqxlF3FyUKuEEmuCEk8lfFQKm/J+3JL\nJQMO9fLZ7U0BtDb6EUsWn4vWxgDp6k75BZFhWIVMFNQXRHrGtvyXbJqRt/z7VRlCEpjTFoRhWpAl\nAUkSZJ8RwEGxMy3SgeH5OUeWBQKB2gxM5Hce9YyBbNbE73b0IxqnW54yEtJw1rLuwvaiLAm8b1k3\nGohaLgFgTksIhmkia9hV47KGCcM00d1C0FEqR2NQK1NyAS6fDeSKq+SU27bGACJB2sFoowkdQ9EU\nXj84gj19Ubx+cASD0RSiCbpjrKbZlv981U4hhG35r7Gs6Wwg74+qKhJCAQ2qIhX9UYlSqtiFgxpk\nWRSMCRTJzzmGYSFWYx+Qt+gOj6VhWiZCPpX0Nj0AnLW8G6ee2I6obiCSy3lJmXQu0jWZzha20nya\njBTR5O5AeYokwFZyqadIGk3oaAxpaAiqhdR81DOWVKYEsix7695P+DlpbwxgQXcEfUdiyJoWFEmg\npz1MOmNJ3h+1MeQryy1MeR5mY0I5eVeOF3r7YdZoPKCtyeRhB/gCkbCG+RwlDQDQM3YhEUUWhbRR\n2ayJTI3VWWYLnDaqnPzEZOXWPwKC9MQEVKcEkoSt6FHNBQrYE/YJPY04PJSAkOw+WdTTSHqRmF84\nFzJRSALLFrZyn+T6JJbQIQFYvohun6R1A28cHIVp5X1+Jg55RdcwTUgAjusIkXaAzxON6TgwmOAA\nPQCAXZnGMAt/2pVqKO9J5+C0UUU4eKSafEqgSFgrWLlVWSKt/Od9L4/vjhSi6Sn7XpZi5RyXeWwt\nwn1ic2Q0iUNDiaJvew1Q12QQ8CnwqzIaQz7SgzAAvNDbj+d7+wvWyzXLu0kH6AECsiRBkcxC3ktZ\nkgpBaZThtFFF8grMwjkRriqYg6uAVTOa0DE0msLAaLJQabGjMUDaxSUftCgJO9CIs7gU+ySTMQsL\nItJ9YgGpdLaQraQWyCu6esZEWjfQmMiQDh6JxnX86sX9iCWzkISAaVn49Yv7sXxhK9kFgKZKCPhl\n6FkDUk75D/hlaArtGE5OG1VOPnhEkaXCZE09EwXALi6V+FUZA6MVfsujSZrKSw7O4lLNaELH3kNj\n2D9QLN40tyNMtk8iIQ1CiElVn6c9YwMIBRQ0hjUkUhkcnUSJuZnOnsNRxBIZWKYFwzRhmRbGEhns\nPRz1WjTPiAQ1+FUFwZwbR9CnwK8qaCCq+ANFa4OZiwowc2mjKEdJc/CIOz5NRhdVS1QF+QwD+UdF\nEiCfYSD/7mQNE7GEjqxhkn93BID9AzE7pSXs1JYHBmKTUvRmMqmMgXkdYbRG/Ghu8NV0DfIW3Xgy\nC9MyEfarXoviKQ1+DVnDgp41ClXANEVGQ41562YDqYyBeZ1hHB5KwMr1SmdLkGwpRoCcbKP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itrO+ecc/DYY49h0aJFUFUVH/rQh3DxxRfjk5/8JF577TVce+21uOeee3D22Wd7JDXDMAzDMAxT\nD9S1ouvEkiVL8Otf/xpz5swBALzxxhu44447sGPHDrS1teH666/HFVdc4bGUDMMwDMMwjNfMOEWX\nYRiGYRiGYcYD561gGIZhGIZhZiWs6DIMwzAMwzCzElZ0GYZhGIZhmFkJK7oMwzAMwzDMrIQVXYZh\nGIZhGGZWwoouwzAMwzAMMyshq+gePHgQ119/Pc444wyce+65uOeee7wWyXN++9vf4qyzzsLNN9/s\ntSh1Q19fHz772c/ijDPOwJo1a/CFL3yhqogJNXbt2oWPf/zjWLVqFdasWYP169fj6NGjXotVF9x1\n111YvHix12LUBYsXL8aKFSuwcuXKws8vf/nLXovlOf/+7/+ONWvW4NRTT8XVV1+NgwcPei2SZ2zb\ntq3wbOT/LV++HEuWLPFaNM/YtWsXPvaxj+H000/HmjVrcOutt2JoaMhrsTylt7cXH/vYx7Bq1Sqc\nc845+O53vzuh88kqujfeeCO6urqwZcsWPPzww/jlL3+Jhx9+2GuxPOPb3/427rrrLixYsMBrUeqK\nT33qU2hsbMRzzz2HH/3oR3j99dfxta99zWuxPEPXdVxzzTU488wzsXXrVjz55JM4evQo/v7v/95r\n0Tzn1VdfxeOPPw4hhNei1AVCCDzzzDPYvn07Xn75ZWzfvh1f+tKXvBbLUzZv3oyf/exn2Lx5M55/\n/nksWrSI9LyzatWqwrOR//fZz34WF154odeieYJpmrj22mtx6qmnYuvWrfj5z3+OoaEhbNq0yWvR\nPCMajeK6667DKaecghdeeAHf+c53sHnzZjzzzDPjvgZJRbe3txe7d+/GrbfeilAohHnz5uETn/gE\nHnvsMa9F8wy/348f/vCHmDdvntei1A1jY2NYvnw5br75Zvj9fnR2duLiiy/G//3f/3ktmmekUims\nX78e1113HVRVRXNzMz74wQ9i9+7dXovmKZZl4c4778TVV1/ttSh1g2VZ4HpE5Tz00ENYv3495s+f\nj1AohNtvvx23336712LVDX19fXj44YexYcMGr0XxhIGBARw5cgRr166FoihobGzEeeedh1dffdVr\n0TzjpZdeQiKRwPr16+Hz+XDCCSfgmmuuwQ9/+MNxX4Okortz50709PQgHA4X2pYuXYo9e/YgHo97\nKJl3/M3f/E1ZfzBAQ0MDvvKVr6ClpaXQ1tfXh87OTg+l8pZIJILLLrsMkmQPHW+99RZ+8pOf4CMf\n+YjHknnLD37wA/h8PvL9UMk999yDD3zgA3jve9+LO+64A4lEwmuRPOPw4cM4cOAARkZG8OEPfxhn\nnHEGPve5z5Hfli7lvvvuw2WXXUZ2jO3s7MTSpUvx2GOPIZFIYHBwEM888ww+8IEPeC2apwghyhbN\nkUgEu3btGvf5JBXdkZERRCKRsrampqbCZwzjRG9vLzZv3owbbrjBa1E8p6+vD8uWLcNHPvIRrFix\nAp/97Ge9Fskzjh49ivvvvx933nmn16LUFaeccgrOOuss/OIXv8AjjzyCP/7xj6S3YA8fPgwAeOaZ\nZ/C9730PTzzxBA4fPow77rjDY8nqgwMHDuCXv/wlPv7xj3stimcIIfCNb3wDv/rVr3DaaadhzZo1\nME0TN910k9eiecapp54Kv9+Pf/mXf0EqlcK+ffvwgx/8YEK6GklF14n8aoH96xgnXnzxRXzyk5/E\nrbfeijPPPNNrcTxnzpw52LFjB55++mns2bMHt9xyi9ciecZXv/pVXHbZZVi4cKHXotQVjzzyCC69\n9FKoqoqFCxfilltuwc9+9jNkMhmvRfOE/Bxz7bXXoq2tDZ2dnbjxxhuxZcsW6LrusXTes3nzZnzw\ngx9Ea2ur16J4hq7ruOGGG3DhhRdi27Zt+M1vfoNwOEw6QDwSieDf/u3fsHXrVqxZswYbNmzARRdd\nBEVRxn0NkopuS0sLhoeHy9pGR0chhEBzc7NHUjH1yrPPPovrr78et99+O/76r//aa3Hqinnz5mH9\n+vX4+c9/XvVOUWDr1q146aWX8OlPfxoA2Cf1GPT09MAwDLJb9W1tbQBsl6g8PT09sCyLbJ+U8swz\nz+Dcc8/1WgxP2bp1Kw4ePIibbroJoVAI7e3tuPHGG/HLX/4S0WjUa/E847TTTsNjjz2Gbdu24ZFH\nHkFjY+OE3FtIKrrLli1DX19fmen75ZdfxqJFixAIBDyUjKk3/vCHP+C2227Dv/7rv2Lt2rVei+M5\n//M//4MLLrigrE0IASEEVFX1SCrveOKJJzA0NIT3v//9OPPMM3HppZfCsiysXr0aTz31lNfiecar\nr75alZ3kzTffhKZp6Ojo8Egqb+nq6kI4HC4LLDpw4AAURSHbJ3l27dqF/v5+vO997/NaFE8xTbPw\nL4+u66R3mnVdx09/+tOy+Knnn38ep5566rivQVLRXbJkCVasWIF7770XsVgMb775Jh5++GFceeWV\nXovG1BGGYWDjxo245ZZbsHr1aq/FqQuWLVuGWCyGe+65B6lUCkNDQ7j//vuxatUqksGMX/ziF/H0\n00/j8ccfx+OPP44HH3wQAPD444/jz/7szzyWzjtaWlrw6KOP4j/+4z+g6zr27NmD++67D1dccQXZ\nSVuWZVx22WV44IEHsG/fPgwODuKb3/wmPvrRjxaCO6myc+dONDU1IRQKeS2Kp5x66qkIBoO47777\nkEqlMDw8jAceeACnn356VVwRFVRVxf33348HHngAhmHg+eefx5NPPjkhX25hEd1rO3z4MDZu3Ijf\n//73CIfDWLduHT7zmc94LZZnrFixAkIIZLNZAPagLITA9u3bPZbMO7Zt24arrroKmqbBsqxC5KcQ\nAk8//TS6u7u9FtETXn/9dWzatAk7duxAMBjEmWeeic9//vPkrVKAXYjmz//8z0mnA8qzbds23HPP\nPdi9ezd8Ph8uvvhirF+/nqTlP4+u6/ja176Gn/3sZ8hmszj//POxceNG8juJDz74IJ588kk8+eST\nXoviOTt37sRXv/pVvPbaa1BVFWeccQZuu+02tLe3ey2aZ7zyyivYuHEj9uzZg66uLtxyyy0TMiSQ\nVXQZhmEYhmGY2Q3t/RKGYRiGYRhm1sKKLsMwDMMwDDMrYUWXYRiGYRiGmZWwosswDMMwDMPMSljR\nZRiGYRiGYWYlrOgyDMMwDMMwsxJWdBmGYRiGYZhZCSu6DMMwDMMwzKyEFV2GYRiGYRhmVsKKLsMw\njIf8/ve/x+LFi7Fnz55pv/fQ0BDOPfdcPPXUU9N+78ly11134eqrrwYX92QY5liwosswzKzHsix8\n97vfxSWXXIL3vve9WLFiBT7wgQ/gzjvvxPDwsNfiQQgx6WsMDw/j6quvLvx911134fe///0xz/nb\nv/1brFmzBhdeeCEA4ODBg1i/fj3WrFmD008/HVdccQV+97vfFY6///77sWTJEqxcuRIrV67EihUr\nsHLlStx+++1lctx8880455xzcMYZZ+BjH/sYent7C5//+Mc/xuLFi6HrepU8v/3tb7H4/2/v/mOq\nqv84jj8vXkggZYgXV0xwtQgpwOskiREyUgzXJFZBP0YbmmWQiVjQzaVAP9Yd0SXEos2ZaM3FIkvK\nosiKpJiy4J5LS2eW9AddIAWKEV3u5X7/YPd8vXL5Ud/vd3x3eT82N87nfj7nvs/hn9f98L7HqCi6\nu7unvd6ioiIGBgaorKycdq4QYu6SoCuE8HpGo5GDBw9iMBg4efIkZrOZmpoaFEXhkUceme3y/isU\nRSEmJkY97uzs5Kabbpp0fmNjI4qi8MQTTwBgs9nIzc3Fx8eHjz76iJaWFlavXk1eXh6//vqrui4+\nPh6z2YzZbEZRFMxmMy+88IL6+vbt2+nr66Ouro4vv/ySlStX8vDDD6sfKDQazZTBfqahX6vVUlhY\nyIEDB2YUjIUQc5MEXSGE12tubiY1NZX4+Hj8/PzQaDTceOONmEwmtmzZgt1uB+DixYvs3LmT1atX\no9frufPOO2loaFDPc/ToUVatWsU333xDeno6cXFxbN68mYsXL1JSUsItt9xCUlISb731lromJyeH\nXbt2YTQaSUxMJC4ujvz8fIaGhjzWarPZMBqNrFu3jri4ONavX8/hw4envUaz2UxsbCwAdrudkZER\nAgMDJ51/4MAB0tPTWbx4MQB9fX2sWrUKg8FAUFAQfn5+PProo4yMjNDe3j79TQbOnTvHqVOnKCoq\nYsmSJfj7+/P444/j4+PDBx98MKNzXM61Y+z6d/PNN7N8+XI1eCclJREREcGhQ4f+9rmFEHODBF0h\nhNeLjIzks88+44svvsDhcKjjERERpKWlodVqAdi1axfd3d00NTXx3XffkZOTQ3FxMefPn1fXDA8P\n8/HHH/Puu+9y7Ngx2trayM7OJjk5mdbWVh588EGMRiODg4Pqmk8//RSdTsdXX31FQ0MD586do6ys\nzGOtzz77LK2trezfv5+Ojg5KS0sxmUzU19d7nG8ymcjOzubw4cPs27eP7OxsMjMzsVqt3HfffSiK\nMmHNwMAAFouF5ORkdSwsLIwXX3xRDb4Av/zyCxqNhmuuuUYds1qtbN68mYSEBFJTUyktLVVDe0dH\nB1qt1m0ned68eURHR9PR0eH5l3OZK/ttXTvGZrOZ06dPEx0dTVpamls9SUlJNDc3T3tuIcTcpJ3t\nAoQQ4n9t9+7d7N69m/z8fPz9/VmxYgV6vZ61a9cSFRWlzquqqsJutxMQEABAZmYme/bswWKxcP31\n1wPjYSw3N5fAwEACAwOJjIxk/vz5pKamApCWlkZVVRVdXV3qDmtISIjaPxseHs79999PVVXVhDoH\nBwdpaGjg9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"text": [
"<matplotlib.figure.Figure at 0x2b76b897af90>"
]
}
],
"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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JhnSSqQTx4LbqFLNaV2XkQpMMSzYIAyDBRAzGiypXQyiiweIioIkH4UVIQiFy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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76b894add0>"
]
},
{
"output_type": "display_data",
"png": 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hWLFiBebNm4f+/ftXZLuHnzoX/bbYDA2b16NhszpIqdIoRqwjGXEh1ulSTUXw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\n",
"text": [
"<matplotlib.figure.Figure at 0x2b76fad55450>"
]
}
],
"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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