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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"
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"codemirror_mode": {
"name": "ipython",
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{
"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 18 2]\n"
]
},
{
"output_type": "display_data",
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2+fv7O5X7+fkpMTExz35yazsxMTHPvt21bt06fffdd3r++efdfu6NsEwYAACA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\nBS4RERERyQoLXCIiIiKSlf8D/rOm1T1L2V8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad92a478150>"
]
}
],
"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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IyCwwmBIRERGRWWAwJSIiIiKzwGBKRERERGaBwZSIiIiIzAKDKRERERGZBQZT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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e5d66c50>"
]
}
],
"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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dJ6U4duyYxo0bp9OnTys+Pj7V8hMnTjgkGAAAAAA4O7sL1ejRo5Un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\nsSfq5uru2BP1/OuuHNfVq6mSpJs3M2Sz/VJPS8u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Sjx49NGjQIJUvX17Tp09X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5e1a9cuPP/88/j5z3+OZ599FomJiWhra+PLp06diry8PCiVSjz99NP4xS9+gZSUFL48KysLCxcu\nRGFhIebNm4eZM2di4cKFOHfuHH/NrVu3EB8fD39/f8ycORMhISHIz8/v781ECCHEjKhBRQghxCI1\nNzejpKQEr732GhSKnl9XTz75JBITE+Ho6AgAyM7Oxosvvojjx48jMzMT+/btwyeffAIAKCgoQHp6\nOtRqNSoqKrBnzx4cOXIE27dv1ylz27ZtWLRoEU6cOIHk5GRkZ2ejqKiIL7927RqOHDmCffv2obi4\nGMOHD8cbb7zBl4eFhaG+vh779u3DqVOnsGLFCkRFRaG0tLQ/NhEhhBALQA0qQgghFunKlSsAAHd3\n9z693t/fH15eXlAoFPDz88PYsWNRXV0NAAgMDERJSQlmzZoFAHB1dYWnpyfOnDnTowxPT09YWVkh\nICAA9vb2+Prrr/ny1tZWxMbGwsHBASNGjEBAQABffuHCBZw8eRIxMTEYP348rK2tERQUBB8fH+Tl\n5f3o7UEIIcQyUQ4VIYQQi8UYg42NTZ9e6+LiovO3nZ0dOjo6AACdnZ3IyspCYWEhmpqa0NXVBY1G\ngxkzZuj8j6urq87fI0aMQHt7O/979OjRcHBw4H8/9NBDuHv3LgDg4sWLAIDf/va3OvVnjPGGHCGE\nkMGHGlSEEEIskpubGxQKBSorKzFt2rT7vr63boGSN954A5999hm2bNkCDw8PKBQKREVF8adgfSkD\nMDxK3/Dhw2FlZYWioiI4OTndt76EEEIGB+ryRwghxCKNHDkSc+fOxY4dO/hToO6qqqoQGBiIa9eu\n3bes8vJyBAYGYtasWVAoFNBoNKisrJS1vm5ubmCM6QxSAQDfffedzuAYhBBCBhdqUBFCCLFYKpUK\nALBkyRKcOnUKXV1duH37Nj766CMsX74czz77LJydne9bzuTJk/Hll1/i9u3bqK+vR1JSEhwdHXHz\n5k1oNBpZ6urm5gY/Pz+o1WrU1NSgq6sLxcXFCAkJwaFDh2R5D0IIIZaHGlSEEEIs1oQJE/Dhhx/C\n29sbcXFxeOqppxAQEICcnBwkJCQgMTERgLYrnn53vO6xqKgoAICPjw9eeeUVzJkzB/Hx8Whra0Ng\nYKCwDCneV2+++SaeeOIJvPTSS/Dw8MDGjRsRExOD4OBgk9afEEKI5bNijDFzV4IQQgghhBBCBiJ6\nQkUIIYQQQgghJqIGFSGEEEIIIYSYiBpUhBBCCCGEEGIialARQgghhBBCiImoQUUIIYQQQgghJqIG\nFSGEEEIIIYSYiBpUhBBCCCGEEGIialARQgghhBBCiImoQUUIIYQQQgghJqIGFSGEEEIIIYSYiBpU\nhBBCCCGEEGIialARQgghhBBCiIn+DwE3EdGfjd6VAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e5fac510>"
]
}
],
"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 0.996500 p 0.000000 : FFT N/A 75.0\n",
"Score 0.994000 p 0.000000 : FFT N/A 50.0\n",
"Score 0.989500 p 0.000000 : FFT N/A 100.0\n",
"Score 0.984500 p 0.000000 : FFT N/A 25.0\n",
"Score 0.857000 p 0.000000 : Meanc N/A\n",
"Score 0.780500 p 0.000000 : FFTc N/A 25.0\n",
"Score 0.609000 p 0.000000 : Phase N/A 25.0\n",
"Score 0.576000 p 0.000000 : Phase N/A 75.0\n",
"Score 0.512500 p 0.000000 : Phase N/A 50.0\n",
"Score 0.357000 p 0.000005 : Phase N/A 100.0\n",
"Score 0.305500 p 0.000155 : FFTc N/A 0.0\n",
"Score 0.298000 p 0.000246 : Mean N/A\n",
"Score 0.240500 p 0.005677 : Phasec N/A 25.0\n",
"Score 0.187500 p 0.056621 : 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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NC3yuoslwMpFW1Zwf04bOF5JIL1CeUfpSXQU7LO4kalKiGdnpYgy6KPKtBewq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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e6103ed0>"
]
},
{
"output_type": "display_data",
"png": 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XXl7OzTffjCzLKIpCINDh11EUhba2tpgfIJH53ker7UTbH622B8p+ICgTlBTc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\nXbp0CXPnzoWlpSVmzpyJ48ePi5ot9dgay8jIgJ2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"text": [
"<matplotlib.figure.Figure at 0x2ad9e651db10>"
]
},
{
"output_type": "display_data",
"png": 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SsFqL6NGjOz179iIuLo633lrEn/70Z0pL7TzxxCP07NmLhx5a4FfYrbje3n6r1QpCCDQa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\nsW1Vnt43BbnltWE7xEY0mc2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VjhVCYDQaWb58OePHj/dXYXO5XLjdbvR6vf9c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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e66cf310>"
]
},
{
"output_type": "display_data",
"png": 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aiAGxGInp1S8vLyc3NxeTyRTZN378eCorK3G5XFFtd+7cyfjx4yPbkiSRn59P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\nQgixMwq0hBBiZxRoCSHEzv4DNDlutd2g2ssAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e68e6990>"
]
}
],
"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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XAAsAeJ+cA+zKlSs1fvx4tbe3q62tTZs2bVJbW9sx6x08eFBLly6Vx+ORYRjHLP/Sl76k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\nMS3Wpk2bmDhxYoflhmGwZcuWTLk4tdXU1PDwww+TTCYzy3bt2oWiKAw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"text": [
"<matplotlib.figure.Figure at 0x2ad9e68db2d0>"
]
}
],
"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, 2]] ['FFT', [0, 4]]\n",
" ['FFT', [0, 1]] ['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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tbN26NSHYnTx5Mq+99lqKWimEGLYMA8uGdaiNB489AO5NUSDDiQJo9fvRdu/C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Xb16lVs374dCQkJdhfwMIKDg7Fz506bbQaDAWFhYdb96enp1tFki8WCU6dOYcSIEXY9j9lsgcnE\nN9qd6nVPfJvC0rot1Gd/eqgVI5x0anR6tDFOnr8Oo9kCnVqF4ICGcNKoa/emGWYzRI0GZb37ll8A\n58D/Her1+6SWsCdS7IkUe2KL/ZBiTx7eQ00o+f777zFz5kxER0dj27ZtGDp0aE3VJVHZNIaYmBhc\nuXIFO3bsgNFoxIEDB3Dw4EGMGjUKADB69Gjs2rULqampKCkpwbvvvgsnJyf07t271uqk+sHcLhCW\nJn6AyXT/g+/BW+8M/8bu8PfxgH9jd3jra3kaRJkRFr0eZX2e4AoQRERED8HukeDS0lIkJiZi69at\nOHPmDARBwMKFCzF8+HDodDV/MdCAAQOQlZUFs9kMi8WC0NBQCIKAPXv2wM/PD+vWrcOSJUsQHx8P\nf39/rFixAm3atAEA9OjRAzNnzsSMGTOQm5uLkJAQrF+/vlbqpPrH1LEztP/7GkKp8YFWjCgzmXEh\npxBqtYAGLjqUGstwMacQ3nonaDW1sF5w6S2YmwfAHBrGG2AQERE9JEGs5pViv/76K/773//i008/\nBQA888wzGDlypHW0tWnTprVaqJzy8m7yK4fbNBoVvLzc/jg9KSuD7qs9gNr+ZcXyb5bizIU8CCrA\nSadFqbEMogUIbOEFT7cavjFHaQnKQjtAbNGyZh+3lvzh3ic1gD2RYk+k2BNb7IcUeyJV0RO7z6vu\ngQMGDEBERAReffVV9O/fn6Op9Meg1cLYoxe0//sGgp3vaTcnDYS7BpBVKsDVqQbX6a24A1y3HhAb\nNaq5xyUiIlK4an8H3KhRI5w9exanTp3C5cuXa7MmorrloYepU2eg1L4VHbQaNVr46qG6PTVBJQho\n7quvuakQt+8AZ+zbnwGYiIiohlV7yCo5ORn79u3D1q1bsXHjRnTu3BkjRox4oHV3iRyN6NcU5naB\nUP90xq4VI3y9XdHA3QnFJgtcNSo46WooAJcZYfHyhimiG6CuhfnFREREClftkWC1Wo0nn3wS//nP\nf7Bz50786U9/wsKFC1FUVIQNGzbg119/rc06iWqduW07mP2aAqayap+Tk1uMtPO/4WJWIdLO/4ac\n3OKHL6S0BOZmLWDqFsUATEREVEseaIm0wMBALFu2DAcOHEBsbCy++eYb9O/fHy+//HJN10dUp8wd\nO8Pi6gZY7n+xQcXqEJbb34ZYRBEXcwpRZjI/eAG3L4DjChBERES166HWCW7QoAEmTZqEr7/+Gm++\n+SZu3nSsu1YR2U0QYIrqiepM8rlZaoJ4V1a2WIDi0gdYe7jiArioXvVmBQgiIqL67KFCsPVBVCoM\nGDAAH374YU08HJG8tFqURfUESkvveVjF6hBlJgvyb5SgzGR5sNUhKi6A69MP4u1bfhMREVHtqpEQ\nTPSH4+GBsq4RQEnVK0ZoNWqIFuCXywW4kHUDv1wugMUC+1aHKDPC0qAByqL7Ai723/eciIiIHgxD\nMFEVRN8mMLdvX+XSacUlZbhy/SbcXLRwd9HCzUWLzOs3UVxSzQvrSktgbs4L4IiIiOTAEEx0D+bW\nbWH+UzOgzCjZd/1GKUSLCJUgQKNRQSUIsFhE5N249zQKALcvgAuHOSSsFqomIiKi+6nBW1sR/TGZ\nwx+DcKMQquLi8lvC3dbQwwmCSsCdV9GpVAK89fdYZ1gUAVNZ+QVwnP9LREQkG44EE92PIMDUvQdE\nQSgPsbe5OmsR1MwLqtsrmakEILCZF1yctJU/jsnEC+CIiIgcBEeCiapDo0FZz97Qfb3P5o5ygS28\nEdDU8/53jDOWwtKwEUxdIzn/l4iIyAFwJJioulxdURbRXXKhnKuLBi389HB1qeIzZUkJzC0DeAEc\nERGRA2EIJrKD6OMDU0hYlStGSBhLURb+GMzBobVbGBEREdmF0yGI7GRpGQBzYSHUv14EtLrKDxJF\nwGxCWVRPiF6c/0tERORoGILJLoVFRly+Xgy9kwauzsp9+5hDw8pXjCgsBNR39cFkguikQ1nvaMDZ\nWZ4CiYiI6J6Um2LIbocNWTiSng21SgWzxYJu7Zuge4if3GXJQxBgiuwO7ddf2awYAWMpLI18yi+A\nU3G2ERERkaPib2mqlsKbRhw+mQWLpTzwWSwijpzMQuFN6U0kFEOtRlmPXhDLbt8hrqQU5oBWMEV2\nZwAmIiJycPxNTdVy5fpNawCuYLaIyLp+U6aKHISLC/LCuuBiRg7yA0Nhbh8id0VERERUDZwOQdXi\n39ANKpVg882/WiWgaSM3+YpyABVTRDRCW5i+y0e34izlThEhIiKqRzgSTNWid9Ohe7Af1Ldvj6ZW\nCegW7AcP1ypWR1CAO6eIiCoVp4gQERHVIxwJpmrrHuKH8DY+KDSaodepFb06BPD7FBFBEKzbKqaI\n6N2U++GAiIioPlB2iiG76d11aO7lhry8mzCZLHKXIytOESEiIqq/OB2C6AFxiggREVH9xZFgoofA\nKSJERET1E0eCiR6S3l2HkFaNoHfnCDAREVFdKywywvDLNbvP47AVEREREdVLd97NdllrH7vO5Ugw\nEREREdU7d9/N1l4MwURERERU71R2N1t7MAQTERERUb1TsVTpg2IIJiIiIqJ65+6lSu3FC+OIiIiI\nqF66c6lSezEEExEREVG9VXE3W3sxBBNRjSssMuLy9WLonTS8gQgRETkk/nYiohp155qNZosF3do3\nQfcQP7nLIiIislEvLowzGAzo168fnn32WZvtx44dQ7t27RAWFoawsDCEhoYiLCwMe/futR6zZcsW\nDBgwAJ07d8bzzz+P9PT0ui6fSDHuXrPRYhFx5GQWCm8aZa6MiIjIlsOPBCclJeHNN99EmzZtUFhY\nKNnv7++Pr7/+utJzk5OT8c4772DDhg149NFHsXnzZkyaNAn79++Hs7NzbZdOpDgVazYKwu9X6pot\nIrKu34TejbeVJiIix+HwI8FGoxEJCQkIDQ21+9yEhAQMHToUISEh0Ol0GD9+PARBQHJyci1USkSV\nrdmoVglo2sj+CxaIiIhqk8OH4GHDhsHHp+p7QRcVFWHatGmIiIhAr169sGnTJuu+kydPIigoyPqz\nIAgIDAyEwWCozZKJFOvuNRvVKgHdgv3g4cpRYCIiciwOPx3iXtzd3fHoo4/ixRdfxFtvvYX/+7//\nw9/+9jfo9XoMHToU+fn50Ov1Nud4enoiPz/frudRqx3+s0KdqegFe/I79sRWr3B/dGzXGPm3TGjg\nooG7i1bukhwC3ydS7IkUe2KL/ZBiT6QetBeyh+DExETExcXZzCEUxfI5hcuWLcPgwYOrPDcoKAhb\ntmyx/ty9e3c8++yz+PTTTzF06NBKzxFF++8xrde72H3OHx17IsWe/M7LC3hE7iIcFN8nUuyJFHti\ni/2QYk8enuwhOCYmBjExMTX2eP7+/ti3bx8AwNvbG3l5eTb7CwoK0LZtW7ses7DwFsxmS43VWJ+p\n1Sro9S7syR3YEyn2RIo9kWJPpNgTW+yHFHsiVdETe8kegh/Gnj17kJeXh9GjR1u3nTt3Do88Uj4G\nFRwcjPT0dOtossViwalTpzBixAi7nsdstsBk4hvtTuyJFHsixZ5IsSdS7IkUe2KL/ZBiTx5evZlQ\nUtk0Bq1Wi//3//4fjhw5ArPZjMOHD+PTTz+1huLRo0dj165dSE1NRUlJCd599104OTmhd+/edVw9\nERERETkShx8JHjBgALKysmA2m2GxWBAaGgpBELBnzx706dMHr7zyCuLj45GdnY1GjRrh1VdfRd++\nfQEAPXr0wMyZMzFjxgzk5uYiJCQE69evh07HK9WJiIiIlEwQH+RKMYXJy7vJrxxu02hU8PJyY0/u\nwJ5IsSdS7IkUeyLFnthiP6TYE6mKntir3kyHICIiIiKqKQzBRERERKQ4DMFEREREpDgMwURERESk\nOAzBRERERKQ4DMFEREREpDgMwURERESkOAzBRERERKQ4DMFEREREpDgMwURERESkOAzBRERERKQ4\nDMFEREREpDgMwURERESkOAzBRERERKQ4DMFEREREpDgMwURERESkOAzBRERERKQ4DMFEREREpDgM\nwURERESkOAzBRERERKQ4DMFEREREpDgMwURERESkOAzBRERERKQ4DMFEREREpDgMwURERESkOAzB\nRERERKQ4DMFEREREpDgMwURERESkOBq5CyCq767l3UJaRi78GrjAy8NJ7nKIiIioGhiCiR7CZwfP\n40h6NgQIECGiW/smGNwjQO6yiIiI6D44HYLoAV3Lv4UjJ7MhWkQAgGgRkXIyG9fyb8lcGREREd0P\nQzDRA/olswAWUbTZZhZFnM8skKkiIiIiqi6GYKIH1LqpJ1SCYLNNLQho7e8pU0VERERUXQzBRA/I\np4ELugU3gUpVHoRVKgGRwU3Q0NNF5sqIiIjofnhhHNFDGNwjAL06+COroAR+ns5cHYKIiKieYAgm\nekg+Xi5oG9AIeXk3YTJZ5C6HiIiIqsHhp0Pk5+dj7ty5iIqKQkREBKZPn47s7Gzr/itXrmDSpEno\n2rUroqOjsXLlSpvzU1JSMGLECHTs2BFPP/00kpKS6volEBEREZGDcfgQPG/ePOTm5uKLL77A3r17\nYTQaMX/+fOv+6dOno0mTJkhOTsamTZvw1VdfYdOmTQCAq1evYsqUKXjuueeQkpKCV155BQsXLkR6\nerpMr4aIiIiIHIHDh2A/Pz/MnTsXnp6e8PT0xOjRo/HDDz8AAAwGA37++WfMmTMHbm5uaNasGV56\n6SUkJCQAAJKSktCyZUsMGTIEOp0OkZGRiI6OxscffyznSyIiIiIimTn8nODXXnvN5ufMzEz4+PgA\nAE6dOgV/f3+4u7tb9wcFBSEjIwM3b97EqVOn0L59e5vzg4KC8OWXX9Z+4URERETksBx+JPhOly9f\nxpo1azBlyhQA5fOF9Xq9zTENGjSw7qtsv6enJ/Ly8uqmYCIiIiJySLKPBCcmJiIuLg7CHTcdEEUR\ngiBg2bJlGDx4MADg3LlzGD9+PIYOHYqhQ4dW+Xji7Tt4CXfdxOBO99pXGbW6Xn1WqFUVvWBPfsee\nSLEnUuyJFHsixZ7YYj+k2BOpB+2F7CE4JiYGMTEx9zwmLS0NEydOxLhx4zBhwgTrdm9vb8mobkFB\nAQRBgJeXF7y8vCT78/Pz4e3tbVeNej1vfnA39kSKPZFiT6TYEyn2RIo9scV+SLEnD0/2EHw/Fy5c\nwKRJkzBv3jzrqHCF4OBgZGZmIj8/3zoNIi0tDa1atYKLiwuCg4Oxc+dOm3MMBgPCwsLsqqGw8BbM\nZq7/CpR/2tLrXdiTO7AnUuyJFHsixZ5IsSe22A8p9kSqoif2cvgQHB8fj5EjR0oCMAAEBgYiNDQU\nq1atwty5c5GTk4NNmzZh3LhxAMpHmdeuXYsdO3YgJiYGKSkpOHjwoHX1iOoymy28CcJd2BMp9kSK\nPZFiT6TYEyn2xBb7IcWePDxBrJhE64Cys7Px+OOPQ6vVAiify1sxX/j9999Hp06dkJOTg4ULF+LY\nsWNwd3fH6NGjMXXqVOtjHD9+HEuWLMH58+fh7++PWbNmoW/fvnbVwTuB/U6jUcHLy409uQN7IsWe\nSLEnUuyJFHtii/2QYk+kKnpi93m1UEuNadKkCU6fPn3PY3x9fbF+/foq93fq1AmfffZZTZdGRERE\nRPUYLy0kIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIi\nIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIi\nxWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLF\nYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVh\nCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIta54PcAABt9SURB\nVMVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsXRyF3A/eTn52PZsmU4fPgwTCYTOnfujAULFqBJkyYA\ngHbt2kGn00EQBIiiCEEQMGLECLz66qsAgJSUFLz55ps4f/48mjZtiokTJ+Lpp5+W8yURERERkcwc\nPgTPmzcPZrMZX3zxBQAgLi4O8+fPx8aNGwEAgiBg79698PPzk5x77do1TJkyBYsWLcKgQYPw/fff\nY/LkyQgICED79u3r9HUQERERkeNw+OkQfn5+mDt3Ljw9PeHp6YnRo0fjhx9+sO4XRRGiKFZ6blJS\nElq2bIkhQ4ZAp9MhMjIS0dHR+Pjjj+uqfCIiIiJyQA4fgl977TW0bt3a+nNmZiZ8fHxsjlm5ciUe\nf/xxdOnSBYsWLcKtW7cAAOnp6ZIR36CgIBgMhtovnIiIiIgclsNPh7jT5cuXsWbNGsTFxVm3dejQ\nAd27d8fy5cvx66+/YsaMGXj99dfxxhtvID8/3zp3uIKnpyfy8vLsel612uE/K9SZil6wJ79jT6TY\nEyn2RIo9kWJPbLEfUuyJ1IP2QvYQnJiYiLi4OAiCYN1WcYHbsmXLMHjwYADAuXPnMH78eAwdOhRD\nhw61Hrtt2zbrvwcEBGD27NmYMmUK/v73v1f5nHc+V3Xo9S52Ha8E7MnvSkpNyL5+Ew3cneDsJPv/\nUg6F7xMp9kSKPZFiT2yxH1LsycOT/Td2TEwMYmJi7nlMWloaJk6ciHHjxmHChAn3PNbf3x9msxm5\nubnw8vKSjPrm5+fD29vbrhoLC2/BbLbYdc4flVqtgl7vwp7cdj6zECfPX4dWp0GZ0YTggIYIaKqX\nuyzZ8X0ixZ5IsSdS7Ikt9kOKPZGq6Im9ZA/B93PhwgVMmjQJ8+bNs44KVzh9+jQSExMxd+5c67Zz\n585Bp9OhcePGCA4Oxs6dO23OMRgMCAsLs6sGs9kCk4lvtDuxJ0Cp0YwTZ68BALQATGYLUs9eg28D\nFzjp1PIW5yD4PpFiT6TYEyn2xBb7IcWePDyHn1ASHx+PkSNHSgIwAHh7e2P79u3497//DaPRiIyM\nDKxZswajRo2CIAiIiYnBlStXsGPHDhiNRhw4cAAHDx7EqFGjZHgl9EdTUGyExWK7MonZIqKw2ChT\nRURERFRdDj0SnJ2djZSUFBw/fhwbN260uSHG+++/j06dOmH9+vVYuXIl3nvvPTg5OWHIkCGIjY0F\nUB6S161bhyVLliA+Ph7+/v5YsWIF2rRpI/Mroz8CT1cdVCrb+eVqlQC9m06mioiIiKi6BLGqRXbJ\nKi/vJr9yuE2jUcHLy409uS0jqxCnLuRC56SFsbQMQS280dKPc4L5PpFiT6TYEyn2xBb7IcWeSFX0\nxO7zaqEWIsVo6adHM18PQKMGTGaoVfatPEJERETycPg5wUSOzkmnRpOGbrwYjoiIqB5hCCYiIiIi\nxWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLF\nYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVh\nCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEI\nJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgm\nIiIiIsVhCCYiIiIixWEIJiIiIiLFYQgmIiIiIsVhCCYiIiIixXH4EHzlyhVMnToVXbt2RUREBCZO\nnIgLFy5Y9585cwZjxoxBp06d0L9/f2zcuNHm/N27dyMmJgaPPfYYhg0bhsOHD9fxKyAiIiIiR+Pw\nIXjq1Klo3LgxDhw4gOTkZLi7uyM2NhYAUFpaikmTJiEyMhKHDh3C6tWr8a9//Qv79+8HAJw+fRrz\n5s3DnDlzcPToUbz44ouYNm0acnJy5HxJRERERCQzhw7BZWVlGDNmDGbOnAlnZ2e4urriqaeewi+/\n/AIA+Oabb2AymTB58mQ4OzsjKCgII0aMwPbt2wEAO3bsQO/evdGjRw/odDo8/fTTaNu2LRITE+V8\nWUREREQkM4cOwVqtFsOGDYOHhwcAICsrC//9738xaNAgAMCpU6fw6KOPQhAE6zlBQUEwGAwAgPT0\ndAQFBdk85p37iYiIiEiZNHIXUF0hISEwmUx44oknsHjxYgBAfn4+9Hq9zXENGjRAQUEBACAvL0+y\n39PT0zqSXF1qtUN/VqhTFb1gT37HnkixJ1LsiRR7IsWe2GI/pNgTqQfthewhODExEXFxcTajuaIo\nQhAELFu2DIMHDwYAGAwG5OTkYPny5Rg7diy2bt1a6eNVnFuV++2vjF7vYtfxSsCeSLEnUuyJFHsi\nxZ5IsSe22A8p9uThyR6CY2JiEBMTU61jfX19MX/+fPTo0QOnTp2Cl5cXLl68aHNMfn4+GjRoAADw\n9vZGXl6ezf6CggJ4e3vXTPFEREREVC859Fh6RkYGevfubZ3eAMA6iqvRaBASEoIzZ87AYrFY9xsM\nBoSGhgIAgoODkZ6ebvOYBoMBYWFhdVA9ERERETkqhw7BzZs3h4eHB5YsWYIbN26gqKgIq1atQvPm\nzdGqVSv07NkT7u7uePfdd1FSUoLU1FR88skneO655wAAI0eOxJEjR3DgwAEYjUbs2LEDFy9erPbI\nMxERERH9MQmiKIpyF3EvWVlZiI+Px9GjR+Hk5ISwsDDMmzcPLVu2BAD88ssvWLRoEU6ePIlGjRph\n0qRJGDVqlPX8/fv3Y8WKFcjKykLr1q2xYMECdOzYUa6XQ0REREQOwOFDMBERERFRTXPo6RBERERE\nRLWBIZiIiIiIFIchmIiIiIgUhyGYiIiIiBSHIZiIiIiIFIchmIiIiIgUhyG4CleuXMGkSZPQtWtX\nREdHY+XKlXKXJLuDBw+ie/fumDVrltylOIzMzExMmzYNXbt2RVRUFObPn4+ioiK5y5LVmTNn8OKL\nL6JTp06IiopCbGwsfvvtN7nLcghLly5Fu3bt5C5Ddu3atUNoaCjCwsKs/1yyZIncZcnuvffeQ1RU\nFMLDwzF27FhcuXJF7pJkc/z4cet7o+JPSEgIAgMD5S5NVmfOnMELL7yAzp07IyoqCnPmzEFubq7c\nZcnKYDDghRdeQKdOndCrVy988MEH1T6XIbgK06dPR5MmTZCcnIxNmzbhq6++wqZNm+QuSzYbNmzA\n0qVL0aJFC7lLcSgvv/wyPD09ceDAAXzyySc4e/Ysli9fLndZsjEajRg3bhwiIiKQkpKCpKQk/Pbb\nb3j99dflLk12p0+fxq5du6y3flcyQRCwd+9epKamIi0tDampqXj11VflLktWW7duxeeff46tW7fi\n0KFDaNWqlaJ/53Tq1Mn63qj4M23aNAwcOFDu0mRjsVgwYcIEhIeHIyUlBV988QVyc3MRHx8vd2my\nKSwsxMSJE9GhQwccPnwY77//PrZu3Yq9e/dW63yG4EoYDAb8/PPPmDNnDtzc3NCsWTO89NJLSEhI\nkLs02Tg7O+Pjjz9Gs2bN5C7FYdy4cQMhISGYNWsWnJ2d4evriyFDhuC7776TuzTZlJSUIDY2FhMn\nToRWq4WXlxf69euHn3/+We7SZCWKIhYvXoyxY8fKXYpDEEURvE+TrY0bNyI2NhbNmzeHm5sbFixY\ngAULFshdlsPIzMzEpk2bEBcXJ3cpsrl69SquXbuGmJgYaDQaeHp64oknnsDp06flLk02P/74I4qL\nixEbGwsnJye0bt0a48aNw8cff1yt8xmCK3Hq1Cn4+/vD3d3dui0oKAgZGRm4efOmjJXJ5/nnn7fp\nBwEeHh74xz/+AW9vb+u2zMxM+Pr6yliVvPR6PYYPHw6VqvyvlvPnz2Pnzp146qmnZK5MXh999BGc\nnJwU34c7rVy5Eo8//ji6dOmCRYsWobi4WO6SZJOTk4PLly8jPz8fgwYNQteuXfHXv/5V8V9z32nN\nmjUYPny4ov9+9fX1RVBQEBISElBcXIzr169j7969ePzxx+UuTVaCINh8qNbr9Thz5ky1zmUIrkR+\nfj70er3NtgYNGlj3EVXGYDBg69atmDx5stylyC4zMxPBwcF46qmnEBoaimnTpsldkmx+++03rF27\nFosXL5a7FIfRoUMHdO/eHfv27cO2bdtw4sQJRX+lm5OTAwDYu3cvNm/ejMTEROTk5GDRokUyV+YY\nLl++jK+++govvvii3KXIShAE/POf/8T+/fvRsWNHREVFwWKxYObMmXKXJpvw8HA4OzvjrbfeQklJ\nCS5duoSPPvqo2lmNIbiaKj5lcD4fVeb777/H+PHjMWfOHERERMhdjuyaNm2KkydPYs+ePcjIyMDs\n2bPlLkk2b7zxBoYPH46AgAC5S3EY27Ztw7Bhw6DVahEQEIDZs2fj888/R1lZmdylyaLi98uECRPQ\nqFEj+Pr6Yvr06UhOTobRaJS5Ovlt3boV/fr1Q8OGDeUuRVZGoxGTJ0/GwIEDcfz4cXz77bdwd3dX\n9MXqer0e77zzDlJSUhAVFYW4uDgMHjwYGo2mWuczBFfC29sbeXl5NtsKCgogCAK8vLxkqooc1Tff\nfINJkyZhwYIF+POf/yx3OQ6lWbNmiI2NxRdffCH5f0oJUlJS8OOPP2LKlCkAwHmwVfD394fZbFbs\n1/+NGjUCUD7FqoK/vz9EUVRsT+60d+9eREdHy12G7FJSUnDlyhXMnDkTbm5u8PHxwfTp0/HVV1+h\nsLBQ7vJk07FjRyQkJOD48ePYtm0bPD09qz1thiG4EsHBwcjMzLQZTk9LS0OrVq3g4uIiY2XkaH74\n4QfMmzcPb7/9NmJiYuQuR3ZHjx7FgAEDbLYJggBBEKDVamWqSj6JiYnIzc1F7969ERERgWHDhkEU\nRURGRmL37t1ylyeL06dPS1ZQOXfuHHQ6HRo3bixTVfJq0qQJ3N3dbS5wunz5MjQajWJ7UuHMmTPI\nyspCt27d5C5FdhaLxfqngtFoVPQ31EajEZ999pnN9VqHDh1CeHh4tc5nCK5EYGAgQkNDsWrVKhQV\nFeHcuXPYtGkTnnvuOblLIwdiNpuxcOFCzJ49G5GRkXKX4xCCg4NRVFSElStXoqSkBLm5uVi7di06\ndeqkyAsrX3nlFezZswe7du3Crl27sH79egDArl270KdPH5mrk4e3tze2b9+Of//73zAajcjIyMCa\nNWswatQoxf4yV6vVGD58ONatW4dLly7h+vXrePfdd/HMM89YLzJVqlOnTqFBgwZwc3OTuxTZhYeH\nw9XVFWvWrEFJSQny8vKwbt06dO7cWXIdk1JotVqsXbsW69atg9lsxqFDh5CUlFTt+eOCyO/nKpWT\nk4OFCxfi2LFjcHd3x+jRozF16lS5y5JNaGgoBEGAyWQCUP6XtiAISE1Nlbky+Rw/fhxjxoyBTqeD\nKIrWK1QFQcCePXvg5+cnd4myOHv2LOLj43Hy5Em4uroiIiICc+fOVfyIFlB+E56+ffsqekkjoPz/\nnZUrV+Lnn3+Gk5MThgwZgtjYWEV+W1DBaDRi+fLl+Pzzz2EymdC/f38sXLhQ8d8+rl+/HklJSUhK\nSpK7FIdw6tQpvPHGG/jpp5+g1WrRtWtXzJs3Dz4+PnKXJpv09HQsXLgQGRkZaNKkCWbPnl3tQQaG\nYCIiIiJSHGV/z0JEREREisQQTERERESKwxBMRERERIrDEExEREREisMQTERERESKwxBMRERERIrD\nEExEREREisMQTERERESKwxBMRERERIrDEExE5MCOHTuGdu3aISMjo86fOzc3F9HR0di9e3edP/fD\nWrp0KcaOHQveFJWIqsIQTESKJ4oiPvjgAwwdOhRdunRBaGgoHn/8cSxevBh5eXlylwdBEB76MfLy\n8jB27Fjrz0uXLsWxY8fuec6MGTMQFRWFgQMHAgCuXLmC2NhYREVFoXPnzhg1ahSOHDliPX7t2rUI\nDAxEWFgYwsLCEBoairCwMCxYsMCmjlmzZqFXr17o2rUrXnjhBRgMBuv+Tz/9FO3atYPRaJTUc/Dg\nQbRr1w6ZmZn3fb1xcXHIz8/HW2+9dd9jiUiZGIKJSPGWL1+OTZs2Yf78+Th06BBSU1Oxbt06pKWl\nYeLEiXKXVyPS0tIQEhJi/fnkyZNo3759lcfv3bsXaWlp+Otf/woAMBqNeOmll6BSqfDFF1/g8OHD\n6Nq1K6ZMmYKsrCzreZ07d0ZqaipSU1ORlpaG1NRU/OMf/7Du/9vf/oZr164hISEB//vf//DYY49h\n/Pjx1g8bgiDcM/RX9wOBRqPBzJkz8cEHH1QrNBOR8jAEE5Hiffvtt4iOjkbnzp2h0+kgCAIeffRR\nrF69GhMmTIDJZAIAXL9+HbNmzULXrl0RHh6Op556CklJSdbH2blzJzp16oQjR47gySefRFhYGMaN\nG4fr169j8eLF6NKlC6KiovCf//zHes6YMWOwYMECLF++HN26dUNYWBimTp2KoqKiSms1Go1Yvnw5\nnnjiCYSFhaF///748MMP7/saU1NTERoaCgAwmUwoKSmBm5tblcd/8MEHePLJJ9GoUSMAwLVr19Cp\nUyfMnz8fnp6e0Ol0mDRpEkpKSvDjjz/ev8kAzp49i2PHjiEuLg6+vr5wcXHBtGnToFKpsGvXrmo9\nxp0qRpor/gQHByMwMNAayqOiotC8eXNs2bLF7scmoj8+hmAiUry2bdviq6++wjfffAOz2Wzd3rx5\nc/Tr1w8ajQYAsGDBAmRmZmL//v344YcfMGbMGMydOxfnzp2znlNcXIwvv/wSO3bsQGJiIo4fP45R\no0ahZ8+eOHr0KP785z9j+fLlKCgosJ6zb98++Pj44MCBA0hKSsLZs2cRHx9faa0LFy7E0aNHsWHD\nBpw4cQKvv/46Vq9ejU8++aTS41evXo1Ro0bhww8/xDvvvINRo0ZhyJAhyM7OxrPPPou0tDTJOfn5\n+TAYDOjZs6d1m7+/P5YuXWoNxQBw6dIlCIIAPz8/67bs7GyMGzcOERERiI6Oxuuvv24N9CdOnIBG\no7EZgVar1QgKCsKJEycq/49zh7vn91aMNKempuK7775DUFAQ+vXrZ1NPVFQUvv322/s+NhEpj0bu\nAoiI5LZo0SIsWrQIU6dOhYuLCzp06IDw8HD07dsX7dq1sx63Zs0amEwmuLq6AgCGDBmC1157DQaD\nAa1atQJQHtReeukluLm5wc3NDW3btoWzszOio6MBAP369cOaNWtw8eJF68hsw4YNrfN1mzVrhtGj\nR2PNmjWSOgsKCpCUlIT33nsPzZs3BwBERERgyJAh+OyzzzBs2DDJObGxsTCbzRg+fDg+/fRTAMDG\njRvh5eWFwYMHV9qPn376CaIoIigoqMqe3bhxA3PnzkXv3r0RHh4OAGjcuDEeeeQRxMbGIjAwEOnp\n6Zg1axauXr2Kd955B3l5efDw8JBMafDy8kJOTo71Z1EU0blzZ8lz3vkB5W6LFy9GSUkJ3njjDZvt\n7dq1w+bNm2E0GqHT6ao8n4iUhyGYiBTP29sba9euxbVr1/Ddd9/hxIkT2Lt3L9auXYtnnnkGy5cv\nBwD88ssveOutt5CWlobi4mIA5XNUS0tLbR7P39/f+u/Ozs6Sn0VRtDmnTZs2Nuc/8sgjKCkpQX5+\nvs32ixcvwmKxYPr06TZBUhRF+Pj4VPn6fvzxR2tQBYDDhw/bzNO9W25uLoDycFqZjIwMTJkyBU2b\nNsXq1aut20eOHImRI0dafw4NDcXMmTMxc+ZM/PbbbxBFsco5vXduFwQBx48fh1artTnm4MGDlc7R\n3rp1K5KTk/HJJ5/AxcXFZl/Fa8jLy4Ovr2+Vr5mIlIchmIjoNh8fHwwcONC6GsLOnTsxf/58PPPM\nMwgNDcVLL72Ebt26ITExEY0bN4bFYql0tPTuoHe/i7kq5hxXqPjaX6WynbHm5OQEAPjoo4/ueVFb\nhaKiInTr1g0WiwWCIOCTTz6BKIowmUx44okn4OPjg6+//rrK8yurOyUlBX/7298wZMgQxMXFQa1W\n37OGihHrnJwcNGrUCIWFhZIwnJeXZzPNApBOfajK8ePHsWLFCqxbt87mwwYR0f1wTjARKVpmZiZe\nf/11ZGdnS/b17t0bQPnI6Llz51BQUICxY8eicePGAFDtC8Lu58KFCzY/X7x4Ea6urtDr9TbbmzVr\nBo1Gg5MnT9psz8nJqXRJMXd3d6SlpaFv375ISkpCamoqPv/8c/Tp0wdpaWlVBmBvb28Av48IVzh2\n7BimTp2K+fPnY/78+ZIAvG7dOiQnJ9ts++mnn6y1h4eHw2w22yyJVlZWhpMnT+Kxxx6rtJZ7ycnJ\nwYwZMzBz5kxERERUekzFqhNVjWoTkXIxBBORovn4+ODo0aOYMWMGUlNTYTQaIYoiLl68iL///e9o\n2LAhevToAX9/f2g0Ghw/fhxmsxk//vgjNmzYAE9Pz4deguvq1avYsmULjEYjLly4gO3bt+PJJ5+0\n7q8YFXVxccHIkSPx7rvvIi0tDRaLBQaDAaNGjcLmzZurfPzz58+jRYsWAMpXiQgLC7tnPW3btoUg\nCDh9+rR1W3FxMebOnWsdBa5Mfn4+Fi9ejNTUVJjNZqSlpeHtt9/GwIED4eHhgYCAAPTs2RMrVqxA\ndnY2ioqKsGLFCmg0GsTExFSrVxW9MBqNmD59OqKiovCXv/ylyuPPnDmDFi1acD4wEUlwOgQRKZpW\nq8VHH32Ef/3rX5g/fz6uXr2KsrIyNGzYEJGRkUhISICnpycA4LXXXsPatWvx9ttvo0OHDoiPj0dC\nQgI2b94MlUqFZs2aVes5714Lt1evXrh69Sp69+6NW7duoVevXnjllVdsjq8wd+5caLVaTJkyBQUF\nBfDx8cFzzz2HCRMmVPpcubm51pFdADAYDOjXr9896/Py8kJISAi+/fZbDBgwAACwf/9+ZGdn4803\n38SqVasgCIJ1WsMzzzyD+Ph4zJkzB66urpg9ezauXbsGLy8vjBgxwqa2VatWYcmSJYiJiUFZWRnC\nw8OxadMmyaj3vXoHlId5g8GAM2fOYPfu3Tb1TJ48GS+//DKA8vnPFSP6RER3EkTeU5KISDZjxoxB\n48aNsWrVKrlLsbF3717MmzcP+/fvR8OGDeUu54EcPnwYL7/8Mvbs2cP5wkQkwekQREQk0b9/f4SE\nhOCf//yn3KU8EJPJhNWrV2Ps2LEMwERUKYZgIiKq1FtvvYVDhw5h9+7dcpdit5UrV0Kv12PGjBly\nl0JEDorTIYiIiIhIcTgSTERERESKwxBMRERERIrDEExEREREisMQTERERESKwxBMRERERIrDEExE\nREREisMQTERERESKwxBMRERERIrz/wHyOKifvhur8QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e6be3310>"
]
},
{
"output_type": "display_data",
"png": 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GA3z+EDp8QchSap0Q2HWBaD84tzD1hE2NifwBBd9UtUENd9JVNQ07q9qELhNK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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e6967e90>"
]
}
],
"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: [20 18 0 16 6]\n"
]
},
{
"output_type": "display_data",
"png": 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7dqxGjx6tjIwM1a9fX4sWLZKfn58kKSYmRhMmTNCkSZOUkZGhyMhIvfTSS/Lx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\niMz+DxduAaIby7lBAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9e69e8dd0>"
]
}
],
"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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TIiIiIrIJTEyJiIiIyCYwMSUiIiIim8DElIiIiIhsAhNTIiIiIrIJTEyJiIiI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\nADjC/wGIVffSra1SxQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f0c48810>"
]
}
],
"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 0.499777 p 0.000000 : FFT FFT8h 75.0\n",
"Score 0.481229 p 0.000000 : FFT F8 50.0\n",
"Score 0.475307 p 0.000000 : Phase FFC6h 75.0\n",
"Score 0.474078 p 0.000000 : Power F8\n",
"Score 0.473073 p 0.000000 : FFT Fpz 75.0\n",
"Score 0.470950 p 0.000000 : FFT F8 100.0\n",
"Score 0.451173 p 0.000000 : Phase F4 75.0\n",
"Score 0.442682 p 0.000000 : Power Fp2\n",
"Score 0.439777 p 0.000000 : FFT AFp4h 75.0\n",
"Score 0.437095 p 0.000000 : Phase T8 50.0\n",
"Score 0.435084 p 0.000000 : FFT AFp4h 50.0\n",
"Score 0.431061 p 0.000000 : Phase AFF6h 75.0\n",
"Score 0.427263 p 0.000000 : FFT F5 50.0\n",
"Score 0.424469 p 0.000000 : FFT P5 50.0\n",
"Score 0.421676 p 0.000000 : Phase TTP8h 50.0\n",
"Score 0.416425 p 0.000000 : Power P9\n",
"Score 0.414972 p 0.000000 : FFT AFF6h 75.0\n",
"Score 0.412961 p 0.000000 : FFT AF8 75.0\n",
"Score 0.407821 p 0.000000 : Power AFF6h\n",
"Score 0.406257 p 0.000000 : Power AFp4h\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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pDAe2LH2++siZDjEYmcQMO+og+eH39QjUW1vQXQuapvHpT396WNdXlMyMUEva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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f0f89390>"
]
},
{
"output_type": "display_data",
"png": 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QCoAsyRQWXIynzYOj3YLT0ZuGa7dZUMymUY1ZrWPf1zQ9B7oDIzrlDjIzR1f0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\naCmKohj2/wWx2B+d4jDqAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f0eaa050>"
]
},
{
"output_type": "display_data",
"png": 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OOOMMzjpLVOQbDAebu6lpNJ0qswszUOTkjjZ1Xaez00tbWyuqGsDn86Oq8Y9W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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2de5f10>"
]
},
{
"output_type": "display_data",
"png": 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EiGjWrFlUV1fj8/mw2U7MRH/hC1+I29fj8eDz+cjLy4vJ3n//fV5//XVqamqY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\nmUi0giAI3UwkWkEQhG72P5qtbAgkm2i/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f0f7c290>"
]
}
],
"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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mMYrkixJWEZEJLpyI8MKHLwNwvncmNSX+vMUyq3wGBukEa2ewKW9xFKJf/u59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47rug4CLn7eYTQa6Nc9jn7df7odYW29j6JjLo4cd1JW4abM4aa0wk15dS2nX5LiD6hgQnshrGad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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2fecd90>"
]
}
],
"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": [
"[['FFT', [30, 3]] ['FFT', [22, 2]] ['Phase', [29, 2]] ['Power', [22]]\n",
" ['FFT', [1, 3]] ['FFT', [22, 4]] ['Phase', [20, 2]] ['Power', [2]]\n",
" ['FFT', [4, 3]] ['Phase', [61, 1]]]\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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XRzqd5uMf/3grUxmNRvniF7/IzTffzNVXX82iRYv4kz/5Ex544IG2AWsf+MAH+Ku/+ive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gVqR1LNjRs3yMzMJCUlRe0oHcrgwYN58skn+fjjj9m+fTunTp2y6UOwVVVVABQWFrJ161by8/Op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\nIYQQQgirJIWuEEIIIYSwSv8LenjLxkT8vP0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2d67390>"
]
},
{
"output_type": "display_data",
"png": 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vvt2NwYQOFcB8yS9MwYCG+mgIq15rh6qqME0TSw5tkvqYUCl2SbvjdYd2h3l0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m7ciMViwefzEY/HeffuHbdv36a4uPhfb18ViUS4e/cu0WiUiYkJ7t+/z4EDB9LHU93N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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2e716d0>"
]
}
],
"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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Uz7V2Y/3aNRj4t0dTgQG0XmQYtMg1n6kUjpumRQYhRD0kLkAWCiqMyooM5UhA\nh9NLKUEYA8tFIAEDDUMtJpS4EInagHb/TnAOnteJ5o7I4PkYST5B3Jig9oBa1BzQC43fuQ5D2yAi\npSNQcaGxbt06TJgwAZMnT8Zjjz0G1tKeEy2g/q7ZusmPFhkBA1hg8y/AjMgw9bkZTCJbJiRKI4NQ\nCw31e8kYhC55K4IInEUQLFTXNASnDIIEEIQBkIh4I8K4AUFSD1bQzka+HiTfkAoN83wsUCLDJqXr\n0rqU6pK6CcALWmw4rkas4g2tYqcUNV+7pizvJ+ccn//857F06VIsX74cQ4cOLctxuwKdrbpPW+Gr\nBrU9fq4p/Fxrez7+24JslSdAL9YcF6NIdLhhTCaEyTxahSy1YslhQqPUwUGESEOeivI/3LKmVmwU\nuRlGbGTFhRZAIklFjOCQQYikqifiXC/0G/XZ1r95nlbRcP+N6jN0RQaw90LDwIXKzTC5r4Q6Fap0\n2F2SQMRKZMhCQVWkklILFWlzd6VQ6yojNCClckSkERaiiaNhw7GMo5FXyeFJo/k5QVAdoudBvdGj\nf28c+F/37dvr7YBUVGhwzjFlyhRs3rwZK1asQO/evcty3F13XqvCowhJS9YyHVPnhknp+yUNnMpQ\nxE4uZc/qyeY2GCJUC4wIIgituDACI2EREhqCEwYhGQQoApIg4g2IkgaEcQNY0gCWbwCL60EaG0Dy\nDZD5RvWfigUgOlQL2i2ROkdDgoC6jQKTWCeG63yNJFHqPNZ9ObTYAIAeF/3nPr+327dvx7hx4zBg\nwAAsXry4rMKwM+IXfaXxi8Dy4+daafxcKz9KYAQQlELSsOi3xUJDZEWH4yyob01HAAClhUZR3l+p\nRYn6OwGqnQdqIwvcErrS7la7eRlpCBUFIEGNQHEFhxUvXBV4EQkAAl7TE0lVTxRyPdF/5KTWvZGe\nPdKswDDsi9CQUttpsMITgM7fSPutAFARIdrZsOLC/L3ULgXUWlBKqdaWhFhhYVyTjKNhOo43xhBx\nnHE0eCFB3BAjbkyQNCaQXKLXwJ7o0b83qg/ojQOuu3PvX3cHo6JC45ZbbsGsWbOwePFiHH/8vte0\nrvvdbPSJiF1cWxeDMptQbRvoGZHB0oY/wvbI0BPbqSyVCg+ARzUQYU4JiyCCoAE4VeIioRE4DZFI\nhgQBuGQgkMiRPCLkldBIGhEkDQgK9drVaADy9UBjvdqhCXVOSJgDWAgRhpBMJ6ITApLEqiu5SGzo\nVHG+hizkh8VRAAAgAElEQVTkbTMaAOo/BYAdgmLgxdft0/v8wgsvYOrUqbjlllvw/e9/f5+O1VlZ\n9erfUVtbW+lhdGh27tyJUaPHVHoYnR4/1/aMn2vl4f3Fc9GzR7UqXkJDJyG7GQcDRWFTUsBWf3J6\nVwDZcCod+V56EI7osAVzzfevyfWQjrNhwrGMYDB/a1wNyrI5Gm7ZXf23RCSpO8JT8QKu3Y2qGvDq\nnkiqeuGjhGLYBF8NbV/ZdPeN6BNgDyJjD2F2e6KUe+GETbn3ScF1REiSihstNqTzs7lfCt2Xw1a0\nEkWiQ0JwrpoA5gsQhUQlhmtHg+cTJHkVThU3xIgbEsT1CWoP7IHaA3ui9sDeyO+/Pw770f/d+9ff\nQaiY0FizZg1Gjx6Niy++GLfeeus+HevZh+7DpF3r0zApQtOStcUuhsnLoGnolOkumnE0kMaDpl3A\nY3UCIkTFcEY1SMIeKIQ1iFkVYhqBywCxVAIjFgG4pIhYghwpIKJ55WrwRoRJA4LCLhVCla8HydeD\n1O9UJ0MtNBAoIWOaBYogUidFHqcXk69he3Fk8zVUnWgVb0jsf2iCv/U5EifOvGCv3/Pvfe97uP32\n2/Hqq692q4owTz31FA4f7ndQW8Oatetw2mm++3Nr8XOt9fi5tncsevx/MP6gGgjKIGmY7VFRvEQo\ndjAymN1nV1Q4izlXeMAJrXJyOUphhAZ1BQbUNTWuhnE23KGWCKHK9L9yXQzz91pcQJdCJfpashCi\nR0/wqp5IcrVYsekTnDzd9+BoLc8+fD8m5zekAqO5Bo3AvgkNqnquqDVhUW+NUo4GCJAUHCdDps8v\npJ0P5vcySWzVKTguhhUaUqpGgHGi+nPkE1vRKmlMczZiG0bFEe+KUaiPEVQF6D24F3oe1AvV+/fG\n66M/h2lfuWjv3ocOQEWEBuccU6dOxT//+U+sWrUKNTU1e3WcF59+AmPrlqkJ5YZJUZXw7fbIyDTO\ns2VnjZuhkrUlC+wJz+yQUCGswCBJXu+gqPwMnqtRYiPqgTioRmPQAwXk0CiqkBchClwlzuVYjByN\nUUUbESGPXFKPIGlEGNcjKNSD5utBG3eC7NqZVpgKswJDBhG4LidIk4IKneIFUJOvkRQALTxkrHI3\nkPDU2YhjyETv9hCimtAQir8PPR7Hnfr/tfq937VrF0aPHo2DDjqoW4RQLV78PA4ePLjSw+jUbHz/\nA0yd6ncC94Sfa/uOn2st48VnF+LoXjwjMITOxXCXfpkqT7tLBHeSbW2JWSB1FEDglq11K0PpP3Ty\nOmA3/qguR0tFYoVFE6HR3BjNcUzoVJMcD27FBBE6ZEpoN0PytE+WicXv0ROiphZJVU8kuZ74x9YE\nx59wQuve+G7Ii08/gXEf/h12gd+ci+GyN2FTrkNCiIoQsQUCkBEb7hy11a1Mjq51tXSOh4luMXkY\nSWxFhhIePA2xMnkase7JoXM0RJwgyReso8ELCWLtaCQ6hCquT1D4JAZvEOgzrCd6HqTcjer+fbB6\n8r/guNM6n7hls2fPnt3eT/qLX/wCc+bMwdy5c/e6esiuO6/FwJ11qYvBgrSiVBhpJyPUfTACWxrW\nVJiyZWj1RQShPtEGkER18SZwyvJJaXdViES6+0EAQNlwBAChRN9HAUIRiwCMSDAqwYgAhdqVYTKx\nJ0mbc8ET62ZIfTGVrAQLIFhkz/7UuC5FJjSRUj2/KHHyd1Q4JCCFwEEfvYvCsoXITTy5Ve9/FEUY\nM2YMrrvuOvTt2xeTJnXd2NW3169D7169Kj2MTk/vXr2wbdtW9N1vv0oPpcPi51p58HNtz+xY/jT6\nV1P1HaPzCwULncWfU1bW2fklJHu71O9sYzxC1Kaec59ppJfJpdDPV/wYCaLv1d+9kOl3sfOz+nMK\n811sfk7DZsw4YatemeOljQSdxHJb3crkaQrb6A2Nu0BjtcnHRIwDegT4ZOuH6NHfbw40R/2912Ng\nw+ZUBFC6Z5EBoHVuhj6uyc9lTIXPU5bZZAalOqSeprfNBrV5vD4WMWKFMhDntn62NASLEDv3zTpQ\nhWOZ6qXqIszayySZc5FxUKQQkInKARF5iZ3v1KOQz4Pr/JH+dasRr1iImilntPYjqCjt7mi8//77\nOPzww/Gtb30Lv/jFL1r1tzt27EDw6M9tNSU1mYJ04prSs7rLtxIUoS5dm3b2tqFSLIBgodrNIeo+\nQRgIBCiPQUUMyhNHCOhrkZ6MRJiDiGrAczWIo1oUwmoUWA3y2tlo5BGEpNrVyKsLb0DIVVJ4WNiJ\noHEXaMMnQCGfJn+HaTUroUvnChpocRKr8dmk8IIOoyoueVsA4jQ5XMa622XAVFUF0wXdSRiXF17T\nqqR8E0K1Zs0aDO5Cu7A7duzAR1s+rPQwujT79zugbAUgOjN+rrU9fq4pduzYAaxdqp0L3euJMkjC\nIAiB0InfxsEwC3F1XxpSbDe47OPQxEVIqzwRmxhuw5cyNHUx3EpTVErrOlDJmzgabl6Gm6CeDqSo\nz0eTcrZcOxlpgrjduZY8u7st0k07EAIEOpyqWiWM53M9UT3ocD/XoOZaOO+XehFu8mVIKja4UE2K\niyqVuc6D2rMtCqsqFWZV7GJQpteFOmyeUhWOXnR8AChuDEkcoWnCpTIuR5KonhycZ8OpOE/zNDhX\nEVeFov4cceI4G7HusZHoalSq3G2ST5A0JEgaOBo25yETibBPgFyfCL0H90SPA3qipn8fVO3fG+Ti\nGzvFXGt3ofHNb34T8+bNw9tvv42ePXu2+O/e/e21OCCCzfQnNkRKuQ8IApvwbE8GQaAcDaodDe1e\ngCqBoYSGOdmq+zgNwUSihUZBC40E0PeRJM4IDQBKbOR6gEfViCOVs1Fg1WhEDRpFDo1JhIBy5FgB\nOZJHTjaqXI14F4LCLoQNn4A27lQN94IIIlQ7TDKIwLWrIVgESSioSEBEAqbDuKgVGYU9Cw3duVL1\nDyFafKQJ40ZsbEGEoZe3rJ/Jxx9/jKFDh+Kss87C7bff3uLPsyOzYvky9O3bt9LD6BZs27Yd48aP\nr/QwKoafa+1Hd59r65+bi/1799BJ3kxvrKlwIkkZOAls2JRBOQfFQkNVf3LFhXH9AQkmuQ6RImmo\nlONcSNCSi0XpJImbXA4iuQpfNmFSJYRG9iBOKJcrMKyLYXaXndK2kmfK5NpQKaevRuZ5TPUhqIWz\nJGqTU1TX6PyNntjUIHDU5M/tzcfUJdhwx/XOek0nZJvFPwgAaYWGWYcAyIgKu54r6Zzp+RFGyp0g\nzrqwSHRIZpwMHUJvx5AeW2onwo3+sJ+7ER2cg3DdGJlzJTYE1/kbOrzKzdngHOCql4aMY5uvwQsq\nMdyIDlPylhe04GhMUNhVQP6TAhq3FyDzErSKIKgJEFQxBFUBavvXqnCq/Xvj4/0OwNAf/LgNP819\np12FxptvvomRI0fi5z//eYu7S++64z/SZB7T1Zu4VpcJm9IWmEneMfF0Ngk8tA6H1BPOuhpUhSVx\n3QuD8hhMJCDaOWA8AVwHgTvxoHoSyqhK52z0QBLWoBDWIB/0QCOqkOc55EWIKlZQjgaU0MjFuxDm\nP1GORuNOEClU4z+dkyG0yODMNAo0MamJEhw8yQoNnuikcN1PQ9+21ac4h4wTkDAAyeUArkqvGbFh\nmtQQSqyg6335nhP1b731VsyaNQtvvPEGjjzyyH2YIZXFlw+tLN2pTKmfa5WlO821HcuftrkXyrmn\n2sFQAkOCQBCmKyaqvEI378J1N2zYURNHQ+oNOhVOZKID0pAptbgzXbqLFx3EPap2NogUoJA2n0Il\ng2eFBoAmCcNN3BWdIG67gDv3Z5v/mXK3MnU5bEGYoqRkt5mvXdSq70wRVSGpqkWc64lCVIuBR3af\namj19+iKlm6YketimPsEzwoNvesvhUjDkYCMyLD3UZV3QcMQJMoBoRIRtiGzWwCAErXRrMOk7Gaz\nPTZJRQaQdcIy4pNbN4MYgWHEhhYhmXyOJIFIknTuCAmhc2VV874YMlECQzruRtIYI67PI7+zgMLO\nPPKfxBCJGlOQYwiqGFgUIMgFCHIMuV7VuhxuH4R9e6Pndzqm4GhXoXHOOedgxYoVWL16NXK53G4f\nu/m3P0JtoMWFdi4IdV0MkuZlUB0iRYljbZoTh7LlVAiVkxTOVN6D6ugdgrMcuO6HQSRHwAugvJCG\nTrnuQQmhASkgctXguVolOMIeyGuxkRdVaBTq9SpXoxE5Xo+qwic6dGonaMNOgNKs0NDjgdMoiWiR\nQXmiS/HFaXJ4okvdxoW0rwbnthKVcjQSEMZAq6qUy2MTxRNIPfmN+DAJ9rvAMOjK5gVHPp/H4Ycf\njgkTJuCRRx7Z53nS3rz+2t4XJPCUl/r6eow8elSlh9Fm+LnWcejqc63uxfmoqamBJFSFRBGixAbS\nTtlGDCQkQkIj21zWQEr8nA2dUonaTCY2EoCJGJJQcB2ibBwKN++iKJgpxYZNSVthiurFnrrtJH+X\npNjRSMuRUsmzQgNIv8edRoDp2sHpo+UO0VljGLEhzW69STjXuSlJVS3iqCe28QCHj5nQ/IfVyfnf\n22ejNnKK8rjCIhPSRHV4UWmhwXVnbsBxNAArOGikBUYuSoVGwJSzYTah9XNK87NZI5oGzabqKCme\nh7KJq+FWJCM6sgUJT8WGdjSMmwGuBUghrxwNwIaoq/4bAlJXoRIJVy6H7hrOG/Mo7MojrjfXMRp3\n5K3QIJQgqA4QREpssIgirI7AQgaWC1HTrzeqDuiDfK++OHAfWxiUm3ZLBn/55Zcxa9Ys/PKXv8S4\nceOafdyi++/AgX/7H0SByrMggaoeRYJAd/bW94VaMAQBEERAGAK6c7aaWCYJyMndIEhVtj05mK6n\n2RK31FScMnGgTj8NtUOi7T97Ipaq1KybHG7qNDP1fBwMFAIBSRDIGIzHYLwAmiinRCWApyJDuCID\n0OPQJ1qncoabsG6bDkn3P41jeZscliAEoggkjHTSFAUN1PtFmHKOCAFEkiAUCRpfXIAX12/E0DFN\nQw+CIMB+++2Hm2++GaeffjoGDRpUljnT1jz55AIwShCGxQ2pPJUiDENs27YVS19e2qXKJvu51vHo\nqnNt4fxHsd+uOrCoSoUIU13whKTfcZIwm5vBaYiEhogRgSOAgBIjAkxfaNFt5VaoxFctCCDSZG3z\nnWjCsgjTwoYokUPcXeeiiz6Crk+lr4WVJtS4KvYYzsWWKzU/mwZ9ppiLKCFv0ipZNrzL/L2uSAlT\nvdKsF2y1Sr22YGoRq3bO00qWkjJQwREkjahmHB9v3YIXl6/EsOGHt8s8aA8WPTAHB73yGKKApr3L\ndKSJvRDndyDpLr9xAkx+Axc2vFs0FmxOg8knpYyB2HWhvjaRLCayhTLIzPrPhFJlw6dMNIs7Tps4\nbh5PzVxFGrJlX3ma/K0ElFnv6ZAw7uQNWVdGiSdC1RqW6ggdQkmaCC6kqlolJSTXjQEJQAMKFqq1\nGQsoWMQQhAFowOxFJAmSXQ0I40bwVxfjxbffx6eOHttuc2F3tIujIaXEiSeeiC1btuDvf/97yVKo\nm+rq0GvBb9IwKb34NeVpQXTYlDNxJCU6JEpXaSIkrUCh3Qyb2KMGot2NyDoHwlnUJyZMCQDjBeVq\nJI1gXOVFEFtWNgaRSHc0jAgRahEvqmvBoxrEuVrEYQ3yYQ/kaTUaRRUAoJo2pI5GvAtB4y6wQj1E\nkNMVphwnI/PxCOWwmJ4eMi29C+5Yeo69p1wNpcIlVyFShFIVOpWrVjsCXPfe4AlQKKQuh04eN2FV\nIuEAAQoXXYsBAwdmPj/OOcaMGYMDDjgAixYtSv9zdUA2bdqEhvpdlR6GpwVU1/TAgAEDKj2MvcbP\ntc5DV5hr1Zve0CKA2mpPyrVwwqT0tXE0EhoikSFiGYGb/heaUo6Gqp7IwQhHIBMwmYAKFW5MhXI2\nAEAQ1QRX6DAtt7xttlZiFhUylW6gmdK2xCSFmweWKH1aHDalNuOckrillju7K6G6m8fbJoFSWIFi\nk92taHE6kutk+0LUA7LvoM491+rq0Pvp32VbC+zGxcgkgJtSsboLt1pfFCBNwrQuB5vkY+VERQFY\nLgLLRaDGyShyNBCEavOUOdEt7qaybtTstjSwIVQuxSFyUuoCQIl1NUgSwzZzNGFVUqjIkTgPFHQP\nM1OlzB7XcTekVGZZHIM35pE0NII35BHXNyKuzyOuL6CwsxGFXQXwWP0NpcbVYQgilavBogAsVNc0\nNE5HpG5XRYj274udZ363yXqtvSnxTpefl156Cc8//zzmzZtXUmTsuv1H6OUkeNtKUnYXQatNLTKk\nkwDuhkKZGtnW7qRpxQyVyBOnCV67QVXL0BcaQAp9cnN3YUqdgIzVxxObS0GkTmCTAiGJQSCtXWcq\ncgBQ49f/CQQL1HPZSe8m3BVVRDA7A0SFXRETM2hcDcpUKTUqQaSzy6CVtKQUiGqAWCW6SxaoHI8g\nBglVXw4Rx8pF0oIjumM2PgKw/zW/sy+dMYYbb7wRZ555JpYsWYLPfvazLZ4f7YmPje9cNNTvwtvr\n13XKmHo/1zoXnXmubV/xZ1S53bxNmJRd5BMbJiWIDp8iBAlRIqMgIyQygJDqO4yQopwH0+ebqPKc\nhAh9L9JeBJnSn0XfjxmRke2lkUGqGH0plbtBCIGUelcZApA0/QYlTdcSErq8uwl7seNH6e/s7CB1\nOA3URmbxb4vyPsz3rN2rNYtaotwQYRwa05lcuzlh0gjx0buo27G5U+Zv7LrzWvR2nYBmBEaT3zVX\nqlbnMNiFuRAApWBVodosDpzmkZk/M59xiR5eNoRKb0gT110xn4d7sOKQOh3Apz9L6dyPAGqdBQBS\nl2A2t83rNVCqXo9eM9rQMb1RLaUEYRQ0VGHsLAohuYBIOIKqEIILEKrHZotlERV1Qs2FOBeTeE8A\nCSTbP0bN73+Mnb17ofab15d+/9uBdnE0zjvvPCxfvhxvvfUWqBN3t+v2H6UT0pSkNYnebh6GntDS\n/T1ltqGdUapWADg7Drajt9mx5wkQ5iCiKlUtKqwCZzmIIEKinQRBGAKeR8ALYInJ1YidHI1siVsU\nn2gYg4hqkOR6IIl6IB/1QJ5l47KZTFBV2ImwsBNhfqeadKY5X3G5NTfOVCeB2xjVTOlBqapimepT\nSaxyNRKnUkIcq8mYqwKJcpC5KsioSv09T/9OxioBHqazeJLY2EKVx6F/FhL9Zt+hhydwxBFHYOLE\niXjggQfKPIv2Db/o6xp0hkWgn2tdg84w17aveMaGQtlddcpUsBFlmTwMCZpWmdI/x4isyIhFACGd\n4BBlD+h1iw5lIiqUiRGOkMQqDFjEYNJ1NGJQwcGpLh1PA3BCIUhgn7+EFIENnLL9MnROhsnTMD0v\nit8EWSSKpAr0MqVvqUy/M/fksxuRIZzw6tKCQzqOhl7wmhK+pm8IoQBSl8PcZwWXvj+hEQYfcfSe\nP+wKs+vOa7OtBVrqYpj1jJss7ToasXIw1NqCQ8q0z5dZnKv1IU1/jkKQKAKNdNh8saMROGtCahw9\nx9EoFXFRXAbZ3G1EgmncbPNjda4Qj0FivdYqFOzrsi6GTQg3ZXCFeo1cQJi1lG6ozPMxkgbtauxS\nzgaPm+Yj0ZAhyJVwNHIhWBjoXBaVckDDAFSnG9CaatR87ZoyzoqW0eaOxubNm/HII4/gxz/+sRUZ\n//zNv6NnkA2Paj7RW8fKuTGRhNrme8oJCO1/bnsS0OFEWaVqQpy4PQkRwUFpAindt4LonSAGShmk\nZIBI1PFL1nBOq04Y9Zw5vuCI0JD9E0hIJ/bPlNxVJf1KOy4m90KaOELAvj6pfzYSxWSQEKgTo6rm\noByObFysEnEiyKnEchZDBjEQJNrhUM4GEhVWxcJAVa4qFED0zx9d/3/wSQwcet3vcMkll+Cqq67C\nLbfcgv79+7d0mrQZb7z+Gqqrqys9DE+ZeHv9ug6bxOvnWteiI8+1D5YsQI8qFfZrdsqzCd7UXorF\nhbk/1k4GlwyxUBcjNAgBiIQVFuq7hAAQIEQ1s1X5GgKcBCqPgghQp2xoUykBwE0Md8K0CBxnwPn2\nIkQ5GBJUL+bNwl+6h7RI8x1YqmFtCaR5sZnxATa/RK8F3Me4u9vquzrNkbRhUkVlfW1+CqUwTQmF\nERsANq55HbsaCjhydMeIqXfZfPu1qGVQG8FA6lQwk8viCAzGmtwHG2nSPIRS0FwEhCovwXTWVpEp\nKpze5GWk1Uf3IBt1Qn7qbjgRKYCdF02Fq4Bxt+zjVKKEroYmIaVTDlev+4jRA27ki2nG54oMtwRu\nYnJU0sZ9NFAhUCIRKhHcGWA234M0uQBK5BEt9qzLoXOXJeeov+8G7CIhDvjq/7/796+MtLmjcdNN\nN+GGG27ABx98gL59+yoXwwgMGxKVuhQ2L8NYXK6LYRK4bdWobC8MSYiNxcw22UsdDZKo0nuIqiCi\nHESgnA0eVCEJcuAsh5jl1A4NLyDgsXY0lLtBkoJ2NpwQLEK1aKBpAhEAblyNoHjxkb7lQdKIML9L\nvQbrZBQpa6OM3RrnGScD6e5KUtCvXb/mOHU4pL4GAJKrAqIq62jwsEoJJOdvCVcCg7h/G+sKVroy\nlXByOXi+APqvP8agQYNwzTXX4Oqrry7DDNp7/M5y16Yj7Tj7uda16UhzbfsrC9Mka7NRREzJWrOI\ndcOk0nwMU8qWS4ZYhkhkgIIIM0KDECUBCFHOAiMSxHU0iAQjqqhJSBIEJAaTCQJRUO4GL4DqXhqC\nBrrqlcrVML06dOFaAI6TYZK2rXORVp4icJyMUgtEp+wu5Uma16HdFVM4pVn0d28TR8LJbxGOeDAi\nI3VeZNF6wIgLN0eDpmFsRWFkbjjZYcM6TrJ4xsUw+bMtdTFsYj4yTRAzjoYpAWuEhV5su92yAaKL\n1Lgb02bNqNaJpkFz2qSZpcV1qLN2LOoTYynOzQDSsZvfEKIbOzr5Gtz0LSuA6H5l0F28ZZKkr8cI\nCyEzfTZEnKjqUzpihMe6v0ZB3Z80qIpU6ZAcx5FR7Wgw7WgEYFEIGgWgoXI0UlcjVG0NQu38BKq3\nXPUXLi/LPNkTbepocM7x29/+Fueeey769u2LdWtWYwBjaZjUbhO9TaWAIoFhKkTpesiqs7cSGqo0\nXWJ3/tOJqpFQMX8igWQJCA9AaAIiAlvNSVCVfCYIAyUMkiSZkwWxOxYcxOzMaKVvT0JE7YIYRyOM\nd9mTU/E1gYSkVDsPpgwaTye1zTdhyn5mUXoM9WAA0GFiCai+p6SzAbXjA0C/l24CG4EIc0AQqipY\nLAYViXIykoIKqeIJEBSARE1YGccgcQAZB0BDI0SSYPvWj3Duuefit7/9La688sqSOTntwbq1a23y\nlKdr8vbbb+NTn/pUpYfh51o3oCPNtX5A2nBPl6sV1Cxkm4ZJpWJDXXNJEcMRGTxAIikSkZZRlwSg\noKBEgsu0AhRsFSgKAQpOKIhkeodVf5+ZDT9ImwhunBVz/GxpUfNdRgGbA6J2wQWh+nnTEKbUYTG3\n9XNKCYjYHpuYyASzw6vFAC2xt2oWkqbnR0ZkZMKdUvco01NEV6k037YmxxPmvadUSSXS3DWxpXw7\nzFxbsxoDTYRJa8KkXDECZN0llzBSi17ItHCP7k8iHScAwG7ERdGmtAmr1wURlPhzwqX24KxkupSb\nPilI11FqraadDRO+7kS0EMogaQLTh0xKqcLBbBlc0zVcKoHBeVppKxH62lxUTzMWpct0UvQ9YxwL\nFVJGndtpLzRiKrEaF4gS+9m0V05amwqNJ554Ahs3bsSll14KABiw+D6QKNJhUanQKJnozUx5MeV4\nWFXquBiC6vwMsxuhw5xM8rZNnhZFosPUP+YchJkQpwSEBKpHBWXgJLQnaUoZILmyPZ3mgfbklBEY\nTlIcIWBxY9bi0+6HTQTXCWOEx+n4zA6J/hlQk5wSCkkS1SVcV0ww4kSVQSMgEiBMOvausfr0e8GN\nm+RYis5JVQQ5SBaA8hCSxyDUJIJrR0Mni0segwQxQBpUkz/GQBlD7z/8DJdeeinuuusuLFiwAGec\ncUYbzKw94xd+3YA9fWm0E36udQM6yFzr98kG+31idswFTRfEpcKkhLkNCimJdTJiESAWDImk4FIt\npYSkuh2VCg8RRFdnh5EDurC7LjRCpHY5pAQnASQlqgoV4XbDTo3FERygNumckmYW/YBauEmhBRLS\njTnd68OIDRM2rKIKAggioHLVdTiJFCqPnKjFrNC5lcX/azPf58ZxsYVh0lK9gqrvbmET303YVNpF\n3c3DMIn3Ta/VY4zAINqFoTze12lSFgYu+YMSAmZxSnSisRNynTblcwQGITqEnKmu680hRRrFoj5Z\nKy6sQ2RECiW2ZC0pDqkvFhu2ZYEWHGa9UyLhuyVkH+U0+HNebyZcyoRpmfdESp2XkboZgjuhVFwJ\nC8m5up+rvBQW6XWtTh4vDj5S7pIRG47gaBI2pYWsGzZmPuPXnwKGXtai92FfaFOhMWfOHEyYMAFj\nx+q4Q0KUvRUooWHi7WwdahsiZepV04ztlXb01uFSevfGjYOEDECYSraRlAKCqN19W4lJVTUgPAFY\nAohAddimDJLGkJKBCmZPjFSLDWKT7dI6zEQ7DyDZk5L9z0YouLHu7IkrdT7MSSaQ9WA62TxTilcn\nnKXH1BNJJpCg4DStyU+kBBVEf6IyjX4VXJ8MTAylev9lEAJhqMq+6R0aEGK7pBMagzHtbPAEhBVA\nglBVpEoKIHkCybnqcaJjJmmokq/GjRuHCRMm4I477qiY0PB4PJ6uhptYjKI8AE6DbJiUXtRLUAhd\nHYfLwBEZpspUGsIEmE3d1AvnUsmLNFtCuQxcSlBJkUCHZIGqTlGU6UqLHGpB7oRtyTRkihITEpX2\nuCB6sWlDpXTeQzrAdLc5FT8ShFC1xKcEVBJQSsAlB5FUjUUv+KRJ3oZuGtfk/aVWCJiQNGHcIyuW\nnBaymsQAACAASURBVARxJ+TKDaVKj1U6REoaT8hJeE8FS8cQtbYnmetWALt1MWyFJ/O+yKJcHf23\nts+ElOkmqW24R9L1munAbsSCG05vigTpzt9SR8Ko26nYAMxn4zhqcJwLF5JuIBtRYcZthDblOvGf\n6E1nNyeFOmLDhpzptaEOpTIiQ2pHw4gMACqxOwyU6NIiSwpp81Vsnw2k7oYVGYRo5yIr/ogdZ/FL\npaXfgzagzYRGfX09nnnmGVx/fVpSyzYnodlQKdvsJnPbhPY46pQFOkzKWGNZJaksygBCcm1hBSBU\nQFLR9I3WHRzBeRo+ZfI7CAelXJ24CYMkPN3NYPo/hRCQlBcJgfRLQBKqXBcWgdMojfl0djoAIEjy\nEDQEpTEAmTobMnUrwEwyOgXl5jk4KFFiQxKmH6uFCdVWXakTgo5dhO4lYuMYHVs4CapAaQAp1Lgk\ni0F5CMJjUNIIIjikdqIkS2MmSRBYgfPFL34R1157Lerr630nZI/H4ykHeiGcWQQB9mclMJjjYpjF\nvRIdsRYZXOqkXRMORUhqqKugI+0UQP9OQhC1iBcmdElSQDC9GOegoOCEgUkBBrV5p8KcWGYcAEDB\nbV4GNe6CXaibpn86DAkyDYUyIzQLQqjvSXfhb0ORBAGIUGHyoCrnRBrBQfVOurAiR8LZBNTCwuZn\nkPRiIyiQLkLNe6+aCZrxp6JCGCdDvwrTJ8TmkkBqYeZ871eYtOJnWkAmdTD0AtsJk7LRHGaxLbIC\nAzKVhultaGWr3QwzpfX6DSBpn5LigkAszVGyooKmn5nNaXXCzIkNjXLWgyYH1hXxThidGa8EadKR\n3oTTG5FFBLXiwoZPObdFkiaBu1W1WC4q+RlkmvipO/TtojliSt6Sps5GNqKmqavRHrSZ0Fi4cCEa\nGxsxY8YMAMDGDRuwvwmVCtJOmxmRoW+nHbsD2JrUJi+DpCfYTFUHJ96R6K6nhAaQlCsXRQidyJM2\nWoEuFQvGbHUoKRJIGqjyfCR9PkkphAwgKQXViU3UtJ2HzI6FEAiWg6ABuC6Zm2j3we5qgCqLmapF\nuxABCA3ApEoqUg82dcAjgHIQkugTKAehHFSoE3cSBNpOVmNKw7fMfwA18SQlAMspRyNUTQ5tw8Ig\nUiFZ+kRaCKoRiBiUhmAiBiONYFJowefER2rRKAMGwlWDwY3vbcCMGTNw5ZVXYtGiRe3uarz33nvt\n+nyeyrFx40YcfPDBFXt+P9e6Dx1hrtXCCdEwuQDILnwlYMOT0q7eBIlQboazrEZmwaWOCCF1FoZa\n/WccDiU+1PMnQrkVnAgwQlUjPyLAiUAAarI4tJxgziKbwySXm9KwFGkCuBEaprGfdVrMjnpxJUlz\nv/kdIeBQrgbR7oY0rolJ4pZCL3SZamzrCgMjLKgJlcoKDbh79CR9z9VtMxYzRi18mggMkYosKWw5\nXknU+1bpubZxwwb00+FK1mkwIaJuuBCQdTHMz6XEkg71SRUi0Y8znyvS2+ahhOheaYF2KkgTQWEj\nXqzAoJBEh5br91tKoj8SZ1zS6ZXhRsW410A6PuOykez7IPU8s1EjJE3+h1572Z915SflQgRAmC7B\nZalcFp0kb4WFyfPQ4sPk3BIT7WIFhisunDGX+qzfew8HH3JIs78vB3TPD9k75s+fjyOOOAKHH64q\nKKx/dVmaG2BbwZtKAUZkmMmkq0jRbHWpdHJT5z84sTsRkqh4VeV6hLoaFUvj+JheYNf0gKyqUVWX\nwsgqX5uroeuB2xhTwlRN8CCCpKHqu8Ei8CDSoVG60Z6+5kGVEhdBDgnLIaYREhohz2qQp9XIk2oU\nSA6cBOA0gCA6WYmltZ9JIa9rM3ObU0J0tQbXmjXxucSqclONJP3PA+0MgVAtMnRndBZBsggiCLXz\nEupOrsopKQTVSILIvgfmP7TN77Axk/oSKBH59spl9rOfP39+W02xZlmzZk27P6enMlT6s67083va\nj0p/1uvfeiPdaYXJKTAiw3XLU+EhQcElRSICtauPrLTY3QanMtZJ0W1kjmBuC0mRSIZYBEhEgIIM\nUZAhYoTgCMBNI0ATKgWZ+ZnaxrYcFNnwYXcA5jXbzUXnaJnfOcKAW3dCiQauv6vVhdmqlYKFaSdz\n+5isyHDDpwRR1bOUiGK63C/R9wXqdVsXQ4DA9AThWmSkr9lUxTIVttauWd3K2VFe1q9akSZeZ5Ku\nA1ukR1Kq1it2ozgN0bZY98O5TZouO5sUPzW3CQFY6ERf5CCDHESgeqDJIAceVkEEEXhYBa4rh1rh\nAbPoJ/Y+O3+dUHf7/8bmdphoFmcNacbjXgOZTd2Mo2OvqepebipnBQysKtfkEtRUgVVFmQutyqmu\n6PoxtMr8HIFVRwiqdMf0kKXPZ2g2NIpkxvv2G6+2aE7sC23iaAgh8Pjjj+OCCy6w90346HWgqspa\nX26FANUO3nUyii6OgyGRdQ5sUhVgJ5GgAagUKjGcBeoERTlkVAWgSo9IAkR34TbVq1gIQUN9gtG1\nwglBwkJQySCk0E4CB4FyPQhRlaoIhB5TAM4icBYioep4CVXJd4kMwXWMakgSCJpACAbOAlARQtAC\niBEbVIuNMLInc/P+qJKB5oQYpCdtKbUjqZW9zs+w9p4Jk2JaZAQheBBC0FRkJDTU4VjqZGBOuqbC\nCbMOiQqbItayVKFTAMHY914G8AXMmDED999/P4QQmUaNbc2nDju03Z7LU1kOO3RIRZ/fz7XuQ6Xn\n2ugDe6QiwiwU4O7IpjKieBFuwt4NZnPZxEdREGVU6PtUVdGmIVTFqbGlITb3Q0oVskRdgUF0EJHj\nLqQXqV+LeSVE7doSqjfDnWpVxP6jbrohVNrpMHmQhJjdXwkqpU0IN7elfR/TPAojKjJhU3Df4/T1\nZtfJeqQklUBKXMisg2FyM/RYqA5PI1Ji+MEHteB9bjuO3bkWCAKQzMZiKuZ253DYak2EO+4FBZzE\n8OI8jTQngwJUhVJJQnW5WpVTajef7brQOBnp+kQQptZ++r2WpnAnUSIXVDlYxPkMs9Eo1M4B06pA\nAip6BRSAyjsqCSV2baTyhCVsrQP7GgFm1kK7U/kiLfJjS//q+23olEzdDZEkMMnhzR6Tls7VmEj/\nt/Tjy0ibCI1ly5Zh8+bNNmwKgLXfCNMiI9DKmDA1kUqJjIyVVarKUxoylREjOk8DQoVPkQAQQZhO\nD+esoHYztLhgymEw3cE5CawN6O66SKpODkLncqh63RwgFAmLlNCgARKir2WABIG1rgkkKBWZLqnQ\n/6pjCRAutJIPbX6KdHZghMlXISrZzdb1duuF6y8fou090EiHS4VaZERKZLBQ2cTq60bHjZr4WW7/\nA7qVHEyOhkk+Ioyp/1jOPJgxYwZ+9rOfYfny5Zg4cWJbTDWPx+PpFqQiw2ywAYCJJ1c/Kw9AL/Kd\n7xVpQ6VMPob+OXPGtqtCdUsiE0LVGtL1jBIVjOgsEWI6aOjvVBvYlSaEm1FlR5MGeqU+B7H3qfeF\nOb9xw5lU9SOiv99U9SmVKE4AcCnsWqNp0jYFp8axUFW7su+GI3QgVR4IhA2RsrLP+T5Nq0yZcbid\nz1XaPSne4W9vmMmjpWnyNaHpQtauwbTwKhXWZsL7YDQhaSZPQ6JIqanN1iDUESd6raML6xhRAdCM\nwDCug5BKrAnoYUkV2mTye0DTcZq1pNCRMlmHg6g5JQVspalinMgRtR7SBQeQ/r8zBQ5cAUDcjdfd\nWIpSOAnx0OFVQnUUl5wDCSC5Ehnmkh3fbo7fjtUS20RoPP7449h///0xefJke19aAzlN6JFUdf/O\nJO8Ye8tVyXZCpxUr7M5GJp5OTybKwHX1KW4+UDuPnVOErmihBIYSG5yGqqmQUbkg+kQltVpOdyEo\n4crlkAKMxKA8BtMdxAGoJCCpvxikmswBElDd7IjJRDUGFAmo0H0qzIUSyDACWKj+w5lKCsx1M9SJ\nNbVczX9Y4ViPZvdB/wcNTNhU6lpQKQBBIGgCKpgOqFNiQ4kY4fQVSas8mNApFT4VWGvbTN/Jkydj\n//33x2OPPeaFhsfj8ewjtvAIUrHhLrptSLG2IdJvS2LdBLXoJXYxlAoRLUyIWts0vwyRRdfNP44Q\ns/jmSEOlzOKa24U20X03AOiNMr2oNbvjznUaHmZCxNLxuDvVbmM/SQKApAt+AmLfCzi9R9xrYSIk\nnHyX9B2DPrauFkVs6r3+3lQ/p68H2U08s4Zwytqqx0qApH9bMUy4OdEX0wXcrMXMHHTCdYhw1hzG\nvdDrNuUE6NuU2Juu1SaFAAkD20zObK6qHI0QaWNmVkJgpJ+JEohq7lMQgAgnNUNmn9dsXKPUejMV\n6vb/m7PeVI6f3sylBJAmNcA8lbQXVziWFBml3A1d5jfTUySOIbhJDIetRmUqThGbE9Lc/96i52kn\nsdEm8Sx//etfcfzxx9tmbYvn3FqUVGREhtN8z3E0oMOlssneTjUAZ0fHreZkKz6BQNAQhbAH8lFP\nFMIeKETmUqsvPZDP1aIQ1aAQ1CAOqlFg1SiwKsQ0AichEgTgYOAIVIMjEiKmKuci1h3EExZpgaLC\nr4hIVDdxkYDprqRMJghIgogUUE0bUE0bEEF1T6WCq3wQ28U8UclpkYo/FGFOiQMWpHGjLI0dJc5E\nzp68UrFhhRwL9UlA2uR3IlVeCpUJmFCODRMJGNcdXnmMgMdgQtX2lqaknC1BrOtgB0yVvw1UJ8rn\n77gFQRDguOOOw9KlS9timpXkyScXtNtzeToGTy6ozGfu51r3o1JzbdFjj6QLHaTfeWlxEfMzbKiU\nFRkkvc4uk12XA87flAOTIWLS0aV2M4TNU7DXQmSWdHbzTLhOh3ON1LHQR9TPYvIkdO6ErcCV5lZw\nynRuZGhzJBMaIqGRvtYXEoIjtD1HOAKb0A4tlhiJwUgCRhIEesMwELHqju7cVl3TzYaik5thvvtN\n53L9O/N9/vSCx8r2abSGF+75v2p3nlBdVbIot9aEupuolFKQ7EyzVars75suhokRF0EI6F5h5rbQ\n4e1c58bayBG9/rL9Y4jJUXXcDqTh36bhs9Ad6m2kDLQsL/o/ZjdwIdP1pRtR4+Q62Pttf49AFz4K\n9M8haK4KJIxAcjl1iSKQXBVIlMven8up+4PAChPphlDJtOSten+1wHD6ZxBXxBSHrhflmCx+6O4W\nzo69o+yOhpQSr7zyCi6/PG1tPiH4GKBVMCXJ0mQiZuPu7IdT9GG6eRmuy+FanIA+renJLQiFpKG1\nkVMLuekOjCq/R1VugmRa8BJn8tH0kcb+JKqOuCAUTNCMXDMdupn5T+U4hQFie4IxgoDq5HO3pT10\nsrb6jxbqhHj1H039JzG5GU5sqyndpt0MIzxgRAdpWpoNUEMXlNl24kQ4uzQ2FEtmdl2aJIQzBnAG\n6Hx9CWCC3A7g/7H3rsGWXcWZ4Je59jm3nlJJIBUSMIAQFpaxDMjGg7sFCGQwmFd0293YM22GwJpo\n4+DPBBNMAGPzY3DYEY7wRDv8g2g7oh1E2zBMz4gwbjCPnhk/cLcsQdtj8bAFAglJLcFYz1t1z9l7\nrZwfmblW7n3OLUlV95aqpJMR+57n3c919sovvy8zgWuvvRa/9Vu/VWtl77ddZcUHNvb0sauuenKu\n+WasPf3syRprL33+ZWNwMYqA+twHwOVBABqjEVmLJp8aMRoSGI0VSdU6E9va+s/Y2Ay2JnatylTM\nx3CJ7jpmxPbdS54aoyE+xxmYalKxyGxgzGxUzkedYqm5E/adCNbQen1IZTBUQpaQa8WsdexFZScQ\n5l8Eb8JzUIBRQFDnac0BiLkqP/TCJycn6MeOLCuoqEVkuFOV0yjijxXJ08jhceTqZWz9gvk3XfJH\n3BQSXWeScXusfdNmQeI+UwjLMbF7ehRtZHpVKGU3LGFDRBmIIDNvBYbsrQBwaw5JyBGuDfCIdUyx\nAJJ0G8yWo5FAnYGCmJtRd5PbufDKUr6tKEOrn4Vzbn01YIxKrTblzQK9oeLU6k2hFY74sWfOVr+3\nh3ZGQONb3/oWfuM3fgO33347Ukr4+Z//efzET/wEHnjgAVx77bXti6ELuJdbbSDDGQ5HhS5XGoOM\ndaVsY73jymSE5K32vmtW/fY1Td4CsvipiCCjfS+CFVNuKphgAMUpYkHhgmQAQjel/9fJMtCkFs0w\nR56LsRllALhD6WY1QV0Tt7vak0ORuFYQ4dFNTdqNLFTrGNWNlqLbmJiCDQMZlr2koETG1TAMdGiX\ndGMzskmnuhkkk9GJza699lo88MAD+Pu//3t86Utfwh/8wR8g54wrr7wS73//+3HFFVecxsjb2MY2\ntrGnj43yBgKLH8u9qxXAwlzq8hUwyJQq1KYkibMcmcxEIDalEWmZW6Y2I6qDfQpVRgQX1HIvqlNe\n2Yy2UN2DXcBGkFFJ6LMQgZNI5DlGrq49o4mP68dj53Ty/zG46N/2Ur1MBUkGrMtldNBRg3uw+bdC\nGD3vVeLsKgQrbVsYdS63AsO7neh9tdYXwtkMb6gcgAEQckGjw46xos7ARm3cN5FSVZWLfzeCv5CP\nUSuGJQMblOrm3Dw3wtel8int5QIiZMvdIDjj5w59y6FoObM2IgLIaJU9m3+qwEtBho9Hgpb5BwNS\n14OxTMlLuEkoXztKii+hlG0rbRtlZlUa6NWsODxW0LEmb6Oe6zXP98lOaySLCD7ykY/gqquuwk03\n3YRLLrkEIoJ3vetduP766wFgBDSoIqxWaarlZHQtpwGBvmo/TXuv/VwrezGRTE0rRGTqUNDpLUIY\nRRKKMLIkKz2nkqgec/tOQrbPB3tekJDt/4okqx7VGZ1qtBwlTSI3aVPmGUAEzgM495j1J7HVP4r5\n8hHMltuYLx/FbPkousUj6BaPIi1O1EZ9xUvP1jJuWnq2pC2ley3RvN24vFFfGd3U6qAF2kRkP4wK\nGrxBocuojFnhvASXXh9NPsXD0qRdPWjQx0oTxv4oHJ6HcXD99dfjXe96F0QEl1xyCW666SZcddVV\n+LVf+7XV0nYb29jGNraxaiOQMYrWjx1sC6OF/1KLUip3pWn038ZQkAEKAhKFgFX1RUK4bvSeO5N1\nb8EkgQHQ6k4VcGDsFDabOj0tojz2CsJ/EOyoW9K2p5zXdHMh7Y4uBBGGiOZdiMQzgTVrdyDkeRha\nsDaZFCpJj64MNc+ySqYl26N9ZmoFNnk02WckwyiYB8/tCI7tWbeaSxsCwx793k0qVW3qwAY2I55a\nJmVNulkLQoMw6kAe1jMuZ9yu2dgn5PGClv/rMjpvQzAKSLs/Wn85Y5DRfCsHzHacLkniiYSq+rtU\n34OlEaCILXqNxXu72ev6PBdIHpoPN2IxYsI9al6GN+yr+1WZosi+2N5PwcU+52qcFtD43Oc+hw99\n6EN43/vehzvuuAMf//jH8fnPfx5f/vKXkXPG8ePHcemllwIA7vi9/8U6RyerfBQTvxsNF+ngaRdt\nUEzUWv28EK3UufYELgUPXQUWAzoMBiQG6Qx8UKgmUW/NdlNqSlNdZ8IydwFwmNbTl5pUro52N+xg\n3m+jW57ArD+J2XIb3eIE0vIk0nIHqT8J7nfAeTCZ1Hwsl2Itu5ut8kK2H3+7KcWJBaOcDX2D6nmK\nUjOSYlKtofboUJCxqMAiDUsFSwYyeFiCBv2c+iVosC7m3FW9ZtMkJnzr3/x6HQs5Z3z5y1/G5z//\neXz84x/HHXfcgfe973344Ac/iM997nOnMwxX7Ja/unlP1rOx88/+6ub/dFa3txlrT18722Pta3/+\n+TGTQc2xUgsyo8pmt9yMuIwBR/tcg59aFSqRVYliqaX5I5uhIMNfj8VJWSgE7FhzG8S5Df2Of794\nniUCYzN19AM7Pz2W+JXIG7RaVjU7xEDIWCK1DlRMzw6AOPtXGXHMZeSay7iseY117sxLBRXFPiv9\nKHiXLBhJpVQ2QwN/ypL85y/9P48xOvbWvv2H/+soeIha+GUXkBEcVll7OimUwTXgQaTrNT+hlq/t\nutH/jeWBCMVrcpOonepqkvuH5hPW5PFWwVNzdrxlAFeAEUEGagAXI9BbS+FWkBGd+QAyfMesepQU\n7QouOU8AhmjPtJwVZPh3cq5MhwMOL3Hrid+el+ENlL1iWE0Mr0nik2sTQN3tn/nYruPiTO20pFMP\nPPAAAOCDH/wgDh06VN9/2ctehpe85CU4evRofe/4HIHJ6KCaPz3AkrxbdhiAE1p4nPwdQQZOATJS\nrRKhzycMiYwUmqYVbAN1BDZGwAPIFhkZckJHCTMe0FOHGfXouEPGgEQzdLJE4YRuWABWMKNIkxWR\n2HEUAiFr0z6LGBRLgpqCDKcQNRLSmIs6ySDStcGinjJExOBlee1/hFm7p/v7dlPV6gf+fqAb/Xac\nkjFOAGVSGSSAyw7qul/5yldie3sbL3vZy+ouHTp0CB/4wAfw67/+63jwwQcfa8g9Lrv44ov3ZD0b\nO//sGc94xlnd3masPX3tbI+1Z1x04XjeM5BBgN6n2Up5EuCFYfWvyYZgFT3re56jIfaZ2PyntY7a\n/ykQ0IwI1DVovoW/xvhTSVBZTHNKiSz30aadEpJsGyvfAmYruQ12RNPGeZ5P4cnfU1dzfYw2vjuu\n7CS7fM8lU6OmgiaDZmMzXC41qv4ok+MZgaa4KXP2pOg+CVdW49KLL1x7FPtlzzrUtWg4ESRZ7qwI\nKC8n+32qKLiOwPbS8msSt+P1x9iPA9CAtJmDUBBpXksZIKzSwBIH1S7mUq9W+rjYWPf+KgliPVYY\nXPOGAExAhqyADz9CCueiChGDnMxbDNRqWyX4T1UOJSaVyg1gWKUpByS1c3gcW8ZkVOaiJoUH4DGt\nQkXhGoTzftnRg6c8l2dipwU0Tpw4AQA4eHB1x7761a/ixhtvrK8pdow0pCzcNRaDXfsX6EtqJ2Zc\nzm+cl/F4QIY2yGOLeoy3U38Io/tlo4FRv6XPVX5FNUKTi3ZD7TijEGOgDh0N6NKAIgkdGACjyzvg\nTABy45CEQKVoPtIairLwrFJ+DjIyzSrl7PrCxmz4sVg9bj+OehOT8X1BpA4wEh3EJGwAo7RH/26V\nYQGqHfXpx27WFu0Q6A2VyAEkcM011+B3f/d3V8aKjx8fTxvb2MY2trGxtXiqPQbHlCBIpdQcQbCV\npmVA9ekCsbyN4AZVYKFOUqmgwmFKcWeZCKxZwCP1i8tHPMIa5xZt1jfOMejIglk001k4Jod7XmBd\n1y4OOWAVhbynRc2cqHs0irHRGKrwCnThtVsZrcJBxqhaVg79MLyr99ByGNHAxdjatZNw0vy814g5\nGruxfj37aK42qX6a+QiufhCb93cDGTHfYhrwtDyPOopG0f/4iMAGtLHOknU0W9oOi8mUdrEp8KwA\nXQQgqftI4qWTc7sWu4AMBJBR/SNLANIEcWnH5eCiRJ/TrCZ3G5MBVKlUYzrac8lBZuWqlSqZankZ\no+7gDlQAeLL5KIN2AjbWM3x7Y6cNNLa2tmr5WrdhGHDffffh2c9+NgDgzm9/G5cYjSOOuiZSqeKD\n2WnUELXRg0e7YVC4oUzyMaYgI/tzey0TVoM9blPZDL1pxlZBrtlTJqOBjBweqSR0zMjMSFQws/J5\nhRiS2oXrsAPO6nyzHoBtIybCe2k2Anw9yUFG127Mzjq4bnWUWIb2Az8VkxE/g93kS98iTOSxLqDV\n9LY4AgEoPBmW1nVTAOkAGvRMfveuu/DsZz8b9913H3LOozHTdR3m8/meAI077/zOGa9jY+e3ffe7\n38VznvOcfd/OZqxt7KyNte98B/OpXIpoXPq1FICb814oo5SETAIiBRtFBKCE7H6QMLgCDJcwSZ0j\nG+Bo7xNQJVPN1jj4UAkVWB0MgmAAkMFV1FR7alBTxjepV5xzxlZlzOIlWTzPYs13J35uiT7WLmun\n8KnnkvCk0R4X7+SdgwKggPMQHHBqfosdXPNh2nttX9s8rA0FGzty9sbat3GpVy0ijYoLpwYy8qAy\nnnW2m8bffbYUoupBkdL+tznI4+IGaEyGiO4P6XguzEBJ43NqNl3HaHvOakhRLGBMxio/sgoyKIKM\nADwqyLAk99bZHgF4aOI4kPXDbJ3TPVfDgUXOOh6yyqxgIMOBRsmxUhYq8BARUBEIMggJApNWGeBo\neSPhKONrInz3rrvwnOc+d/21PAM7baARJVNu999/P0opuPzyywEAO1/8Q+DorOr7Wrdvu3Fa6bTM\nUUI1YTS8dF3Q63EZkPISJEUTo0ksqZzr/0gAGQ4SUOM2qg8FAB6zv2uMjBXRYZcDoyFC6IsCjkES\nOsrIwpinoa0z6RMhQocFUl6iMClFNwIXeszFa0Db+fHcD6cOR5rEwGh4FKSBjEDHxoFlTEa7Abb3\nHWJVsGKDWM+rTwh+czCkXDiwI1IZc+kIlAUn/+zf4fLLX4hSCu6//35cdtllo7N76NChPQEa99x9\nd80L2tjT0757151nZULejLWNna2x9g93/h2e9cyLUaPhHoVFdHwEXAYUFnCRkZZenXlWwCH6fJDO\nnLWQ9yg6RxWlpNcyHD61rIMAq66ezpNe47AYn8DGdDjI4JrkPZVLreYDOBAZyaVGyoO27bF5ILG9\nFmNo4nfGjIcCDfLyvGKJ7XDFQNgpn7vTDBTmW5lG/ifvjxxbdxihjrWEa3z/Hd84K2Nt8R//GHLB\n1qhYjxaAyQoyBuvztZs0e2pVCmX5HTXRuwAUXgdZoDMbDVAbsGkYASDRqrBFq2X69Zxud51VsFdZ\nDHfM7VqJXRvBGGQAlXVCAB51k6ECl1iTygYsynhIRsbD8jXgQCKADN1O+x8iUnm7iPrFJqcicpDh\n7EUypsT2xUFIPBEjYEjV937ktr8AnvuOXc/f6dqeAo17770XAKoz+dyDaN0lPaEo5mF4so53A0dg\nNEIEXsLASVaelaVoopUUFLZGdVzAlIzq1E7WWRIICQPS6PehQX6qOj8FHMZumH5VAAyFa45HLp8L\nnwAAIABJREFUFq5MhgjVz/q+Q2LBLFG78TFUFkUESfGHBHDuARBKao0Ji3cnjUADXBvRtJrbUiMo\nzmZ4AlnsmdGAxCmqRIQfkCYaKZgRRGARZFjGaDgnBBGI4QtSmsO2p0hbIHjuUcJDNh7uvffefQMa\nG8dvY2drDGzG2sbO1hhwkFFlw2IlVOu930rIWmft4t2vWZ0dclYjsBsEUVkxpDnrNt8y6RzmSnYP\nsDnzkf2Gb+Y+5lr+QRgQoCeqeR3skqnapdsAhwMNimBjur72tFiRlsdjq5IQhU9TFiYeQ2V7xOdn\nsSixMjVcgGJSNRcSw3tPxd2NUqm4v0E21YKD4eMw31/+zGOP6zjP1J5ztAvN+ZzJMJCRe9BgzYSH\nADZ2kS7V/g2JNRjJpQEOgjJwQgBpkSCKgKPK5YPF0rWACihYQEV9J1h38F1GznhV0O1C8ug/ordD\nBkJqXzIIIoNR9yUmjJtyxM4A6gUlsjwNtuO2fBWWxjY4kEgJlLMqgDK0bC4BlEvLoU0JREV9RAcb\naJ/rESUQFyCH4HE3dvdlym4Q4znHDj+OM/jEbU+Bxj333AMAldEAJ43a1+SitozbuZOCDe+ZgQmT\nAR0cSSw+YjdazgNIMkrJoJRRkEHUKdDgrtGepHRnIQ43p0kEfyUeop8kUkFgERUSFRKwaF1y8uYv\nAHIhdDziG+wGjjrQWl8QbTbTgIV/5uckVIiyxDmnbr1xHqG0jqKiIIOL03bcEuyxy8/PGQt7rk+L\nxXVKOEOu6/Pb8O5yKirOdgAekZIwHu655x68/OUvH+3GXgGNjW1sYxt76lmYJ4FWwnwknTUpTy4g\nLihkQISSNhFTCGFOfadxIBGAuhA6IitWormPyWaNYiE3gWhDW8jIwVd/MwSsJpaJwR4dRhRn6Uzi\ngMODW+umqinz0HiWuOVV4UvcRz/G+P+nOOP6DbIke4jFzsRAhQI34VTzBcjmadktr2KddKptsO5o\nnKsdSO4mDdtzMxm7MGslSqtIWUGGV0MaPFdjjUVgxQQUrTiKpA62SnhIE5uTRvwVcLhcS5kAbdSX\ntJdYVcHE8rUWiHXZuVclrQFqCr4jr30e/wImp2dY0rU6/wUJTEEpssYiO6bijtQUOMIgGoxdyKCi\n75PJvoQG9ZGHXvemFAUbBj6kFFBG7QOohKOXa9DBJzYIK9gALDeDrYlgZOB4Ag5plHx/KjboTOy0\ngcbhw6vI59577wUzt2hPLZE27vg9SvC2qH22qktjsOGMBlUmY0L4gIcdEM8UcHAGc0Fma4rHHZg6\nJGTtcVGTw+MQWwcwfO1W8q8yGRpNKsQYhJGEkUmATjDjghllzHjAPPWYUY8ZLTErS8yGBbphgZRd\nOjVTZ9woLr99tS6OUqk9Kn1F0554VruLG8ggK4enu93Or8Qf/eiogonozcQmD2dyInPxeOVUwhaV\nKqw3EbNLL70URFQZr2iHDx/eAI2NbWxjG1tjzalC7UPRJFOxDKdFNbOxGRAU0n7WRIJSWQ2VVnlS\nbEYCWQUnZy1cZiRkwMP6UHhgzR33doefzqTm/ps/n22tnmFpbiA874PDOlbBwnrw4cxI+3B3B8ll\nzsWKwtR9Wz3bIACJiiXDM5jIQBlUklJ3ABZV1/xNGl2TNWBjNzlVVRVoNHzaU6oCybNhzAo2AAUZ\nwwCUwUDGoExGzsAwqGM8db6jA2tJymBRv6BkUOoMfKgDLCOAYc8lQWZdyOFNEJ6110Fm7kCjtT5o\nj8CqKmYigIKmEZWV5H42f5LN15LM2lS5ZI8bQ8SdewFMumTSDjS1R6cNksmAG2dISQBrzzLkrCwG\nWYp2HkZAYiRnL2TgLtVE8rVgg5QhqewGQYHclHmaAop9Ahhue85oXHrppUgp4T/87/8WrySq2rxx\nrWEbENwi70KMwXM14CBETbWRGOUgxBtsGhZgHqwcbAbJDMwFRTISDcjUIZHWS05WjWpq60CGPy/Q\nqlJcG/4p4MjCmDPQ8YAZZ3SU0ZG2AJyVBbqyQJeXCjKGHaRhiZI6u0eZHIlTrVShg8JDJNAGeqFc\nXv0hOMiAdxbXLt5jkOGIvul64xGqWXMgNk2fkE1iZBNK085WMDRiNyLroVdKj8n1ttq48E//+P/E\npZdeWhmvaHvBaHz2s5/FD7zoyjNax8aeGvYnf/IneMMb3rBv69+MtY257fdY+9xn/hgvueI51fkY\ngYoqo3VH1N/LKGK5D1w0CdwTxdm7UBcDHtZd2RgFIapOecvdqGVTFBSQy3201HuzKKcyx8kjsDb/\naNFbstCsVG4kClhktM5Vc2lVZUZqqd31VqQdk0ugJ7vb1g3rau7wh6DzoZXnJZJRkrG/jt289XxG\nsNF8irrZKstRmXbbHRkDIEs+FzA+/5l/j59845tOeW7OxP7DTf8bXnnE8iKGXp3g3Ddg4cAjD5C+\nhwyDJi67BUeWvLpUKaDkScjJ5EKsAdUkFt1nYzjY+mrMUPMXrGqn9rswtgUUZOZcO4R7ueMKOOr5\nNmWJtMB1tIxOoTRPk/4zEg+aD2z+KVMPLhliY0JzH+w3aWNFt2km3jIgWxnqHAAHA9Trb6WyXVaE\noVixnlLgpXGF1D8jZGUq7Pu62HZLywUhwLYtNd1ptY8Gj0Cv+4xf/Pefwuve9LYnPIZOZacFNLa3\nt9cCje3tbVxwwQUAgFcOd4O2DjSkyk2Dt9pwzxvpqNgJHlEBIVFeZR4mSJqLIe9kukbOVhK2g1BS\nEEIJibrKbJTaETTeIBtIb4NSaTGXYWVKYGsEOMOAzliMDj06aFfQThRcOIvB/Q54WCrCdQQrWXto\n1B+VOvliiUpsd3OvKuIdKUfJ39ZRNIKMscYxsEcrgSLR+z0RtFKCK00dUDgc4vZDiuwGgJGcqv7Y\npN5IlfHt8MrDJ3DBBRdge3t7ZcwcOnRo7ftPxDaO38bcXnTlC/d1/ZuxtjG3/R5rCjIoRLUdTLSK\nU1UzLt73qIBlCUEHkWTVTkQdFaQW+BcxVl0lVkWcYWgJ4kVI02TNuW/SHp0FpjkO0cScZoZF6c2h\nyRLYDfJcC9+lNufuUhzWXEjPrNQCtUxtn0b7IGiFXKyIC0DIu6hgkifuBo6lmIug+ypgKtYHRLQQ\njVguTGQzwJoM7EwHgpfhjp05G6O9rq+ddkkGqAp++Hn7mxP0ykPbAM2AHECGA4ucgUHBhbIZA2TQ\nXI3qFPvhdQmSiz56OVZmUDKVRkrVxyFOKpUSVnEH0SRBHBU4eEM9BRRTBoMa0HCgjCChsjM8yfLw\nPQagwFz7paTaM0VbFDjgcT9tqbtsa3RWw4ECgOZEEkBwBkYVJsQJoAGU3f8dKsdSJV3DYIwJrAWC\nAYua1K1+oudtQER7aRBWksNXmQzCSlfwCZtx7bP2Pk9jTxmNYRjQecKJldJqjm97LuYEl0qBtRyF\nLF0dIIyhnmC1FjXw15XhGHqkkkE8gJOBDGs3z8Xbzg9IouVwtQStRXTa2uyF/9THzIYSzQUDkkmj\neiQM6KRHV3qkskTKPZJ3CO0XuuSl1qa2wcoARAQlkaJ6diilciQWZ3BsQrHmeTrRSGUyKtCYgIwo\nQcME2PlPhEfJ34qKyVgMPcV+Blq+xpjdWAUcY3bDvsEFQh26rsMwDJjaJkdjYxvb2MZWrYGMlosx\nzsuQkYOLEEnXUqAtadyZc08UZyLkIqNE8WIBoxb0SyaXMrfeROIeMy4GRtwo0hg2C2SL2rfqjupg\nF5N0KAjQ768DHKOzQaK5kpTg/aQEBUXImIhmxYBQbdYrjCwtwu2fuyWvFOQ9QMhyWoRBpMcBhMaD\nDPvMrsvoMVwTtHm8HVNzROGvQsn5KJup53a/5VPMQFEg4aVsZehHUimXTskwQPoBZcJqkOUWUEqQ\nkpXZMBZDL4Y6xyqnJx2fJrGSrgv+SstPrSoNEAaejxkNhE7vdp0LvJFjBBvtZJ8i1ULHlYHJhAEd\nq78iGFS+nx0SLBXYG+tVQUFcWdwQ2/ko2WTqDlqkshkEZy7IWKUBnkJQpVR+bokMZKAmh3tCOSSP\nk8Pt2o7BhW8/vnVqJvFM7bSBxrqqG33fj4HGKPk7vqZRcnRNhLZlkIRE/uOMyrrwPF5Id8KHJZgz\npAwg1u7axAOYO0gZtMO2JBTqVFLFDWyMQAXR2q2KRXY66g1cLNHlHlwCuBiW4NyDhgVo6MH9ApJm\nbRA6gyFauk0pMgDc6WCTYTSp1HrNXtFiMqH4/sWqXTXPJUrV4I967grFI9YbrGsWhZNSfJQ0VQQS\n2JbGXLTXlsgH1Sc27SDgP8au69D3/cqYOXToEL7//e8/xojb2MY2trGnmzWZ1Nq8DFgE3h2dOF94\ndUYAhQUoArZHZTiS3ZrDzOv9qKyy1BRYSAUbxnKYzChbgwqf4zgADrK8g2IBPDZHvYILe/TZoioK\nJhIqZVXI9kNFVy3nozEDrkqILEYDHe15k1IpyHDgA9tOEZ3LEhUDU64KqHoweGPBymg4yKiv/dHk\nVaNLOwllGnvRDhioJW7PhpUC1CpTDiocWESQkRvIGDIkZ5Qhg5KCCDYmQ0GGrdcd4aRJ4ZXNcNer\nm8Gd35pEXX1EAwgWkHawMWYuPEi9CjymQAPYHWxkUWDdYYAYHhTv8SFtPzoAlHswuWxqDBDj5mp/\nlEQQZmvcrN+mDpDMBj0JlMdd3LzdhuQMYm5gw56TsT6jilRdgmQFG5zGv6G1eRnxvenrPbQ9ZTQk\nnHQYeqMyQKQDlazNRywfwHVwIqmWbmVqyL+IIlfXYRbhGn0BCYj1/4QZIqnefD3KAxh9JKJat8T1\nx141nkaXtRyJFmKolTWo/dQFesNIzmBkZTF4cJDRgwxsUL8Ehh5g0nMAJ0saveaXtCSyZKn4w1hn\nIRpyula3T5W90eQlRegez/JSivV6em1mmzgsNlTPS8vfsHPfjk63wIxSVqMyG0ZjYxvb2MZW7TFj\njHU+a8/r/9p8WOPoIo9j5tB1MBWrsqi8hQMMZ1cSCbJoKXkxtqOYDr7Jjw2M1MCUzV72nGnMZqA+\nb6FFl0+zl9uxecniXLUCJKiuAcVAhPbSosBiGKNh4KKIJoYTITj4UealO+qlfwOMwvg/7D1SPY34\nQY4e7fN4napzSoGtaE4o7DtiqOysAA6RdhHWvBYDsvF17AEhiSuDweZ3KcgQffT1EQHJfD1v4HuK\nCHtsb6BsRbJqaK2fWQUcISdnDDTGh7Wb6X+kugsElchpMFh9myyi7fCspPRodTRhN6QFy1FQA+7a\nQ63Y0DJgxQQq/pmNGTJZmUvUiKzDN6CcouXDZO9rVtq5ZgZ1nYK+rjOg1ykYSZ11f0+QlIICSGVq\ne22nBV92Axpd1yEblXbLBT8I6U3n1y8VAeZenfKhB2eN/Ke8RCqDOu4yaDI1DXBmY5AZBumQuUOm\nmbIQrK9LmlkCuD7P84MoswOQNFOplEmoSpoh+/esk3jmGYrTySgGHpZIpbf9WSKJAonO3puVBeb5\nJGZ5qSxGUXCR7FhWQIabAS4vGUdewaBoSVouQ61yACjAKrZ/YgNAHzsUnoX3tNygMjwhEc1rP4fG\nMpUlWePst19eS16Lt9ZaNi4m9LMxUWwD3ZsxWoUxhPdvXR7DMAyYzWYrm94LoPGdO+88o//f2FPH\n7rzru/u6/s1Y25jbfo+1v7t7HdNLLerosuP6fGy1ag/pXFHIm+YmFHvdFq6yE5hzz8hIZOXhUey5\nSUtIAQmRJVCTYMiEITOGwshFmY6h8GjJxXI/ChlrQdX/rOGrkLjdqkvVo/ejW3mvOINhva68uW4O\nva9021wlX2PJlTT5l8+DNf9j3LWjnXlnlYK8DUHuVr+LtazGWBIVnNLwOUHwjfseXjMW9s5uwXF1\nPJM5wmzVQjmBTN5EtYqovubO3mOT3A3KbjjLUQZnPoZRfoeWyc1YATXxeXgdz5Gf82wVRBV06GMW\nDr3OrP+ZraqEJapn4gI4jCQDos6Iqcy/NlNm8x+tBG9diJQpJPvN1aWrAfDYZJlENFnbA+RFfTUJ\nebdg0r4Z1Z9iTer262E5LZTaNaKUQF0Hns9B8xloPgd1HdB1oNkc0s2B2VxLCHczSNL31I+e42//\nYVXifqa250DDdfjX/dSbdQD2S61i0PfqgJdBHfI8KNgoA7g69QOSDGBoBafa1RtpDdhoj4XnyN0B\n5G4LeXYAw+yA1V92kNHVG212kOKdUv3mIIJUsu5D6bXqQBmQJINlMJnUQpdhB7N+B5yXmuw9LFW2\nNSxB/WIMMtxKVlpSrNRbyXouRr0wTFtHVAd2sUmhNfLjyXNuP8zYOAaojw5EXMU4urmdCt67jSRw\nEXDEBP9xLk79jgiuu+EN4/ydYHsBNK6//rVn9P8be+rYa17zmn1d/2asbcxtv8faa177OlDpDUgw\n1t+px8CjinEqtaDBHm+K6yBDJcsNZAgsh9BM4E54qWCDICpptnwGBR3ujFtgVQhDUWd+yAY2cgAY\n5ugrCBgDDGdG1kWhXVEzOfL6XpmAiuILCKXotnIAMK6UgD02GVZbN8dt163GSlItF0PlxY1hauCi\nVY0c7fsobwNhnf6yfc5lwKuuf93KOdlLu+71bzKdvwMMbouBCRA10DF6rTkAUorKdvqYMK6gQkx2\n5fKrMbA4hT8SAYefb/IcIW7gsrJWBipXQISxHBV80GiZmoCQ0cC3y/trfi9r8Dpz6PNhwGzUC82C\nwePAr/tnpX4GL+zgPwoHGZ6CwGTlgbnlXHgJ4QoOSRskdgk8nynImM1A3QyYzRVkzGZAN4OkTkFG\nZ4CDFWRQGfCq196wZ+PKbU/7aMxmMywWi/r6m9uCK4+wJhiRadR6HRREjGT5A13WC5lqeVTPN1BW\noxfCjLRihRZBGpHExkxMUa+aR3EcXHi/jnYzaJQwpCBJabeRQJlyGbS0rDUJJGci8lCBBg1LZXDa\njoytZNAAoDPK1JzyWlmKMrgYJZg6CHUQiOVyiCafSW7FnoJMzelzzyOpzfc86dsShVopNQ5AZJXF\nAOzWx6nRxFVOhZAAtbtcCkXwzX84gWsALBaLtYzGXvXRuPvuu/HsZz/7jNezsfPX7r7nHlzxwv2v\nCrUZaxs7W2Ptzv/y/+F5xy+uzLGY9ojs+QqP4XOWoDq4NRrLSasuWuWeHJiM8SzQjG0eYRK4jCr5\n/CKt84azGiSEIZPlZLQpiklrRRH5d8m6bQOJpTIMVeJOQOsiDowdcRmBDgcPNVodX9vzXFyqZTIw\nW783R66go3FE9fUK01A/QwhWmhOMENQLYCFKadZwT+P1hkBhKgO+9b0HcQn23775aMaVh6ASHrEk\nbRHre5GAZL6RNd0jkz15bgAZqyEumUupFr5hsVKvIur81sONgAPVm4ivAQQ2QEZDtCCZRK5dX//C\nKjBfBRT6rhVNmHys0qxisn2Bl4MWJohksHeNF9aWA3WFDSpT7gOLYeqSyWuMXovmYHgnSHjJWks5\nMKmUy6RqwjcRpFDbbkp6nmczYzJmBjKcyZhXkFFSh9zNwLnHHd9/GBetPUtnZnvKaFx66aW4//77\n6+uX/ML/oIk+RBrl75dANhnVsFQnPfeg3KPLvTEJWsUpUbaSsdrup5cOGZ3WfaI0llGlOYbuAIbu\nAHLawpAO1KUEBqNVmqJQGtB7hjZ2I5UeSRq7MRt20A0nkfqT2g+j14WXO+B+RwfTFGSsMyLdXs6N\nyQjVo7zDt7MOVXfIXjWroeRRIr2BgSqhqlrKJqGKg7v+aHeJkbmNmImK0qmVzOXV15587vtwzdve\nCRHB/fffv7aAwF7laFz3qlef8To2dn7bdde96uxsZzPWnvZ2tsbaK177UzovZptbpqwFUJ9PsjTG\nc0ksDQp/TvV1yPbQdUpz2thiu0EVb2yC1KU67XAZFYzNIJNRocqZXFZVRjKqsc85nZuIapemeIRt\nnRNGY8ygUAUgzk40yZRY+ZKxo7mOQcHkDCOctSmDMQIZHtBby2KMI/uxyE0q6h+94rX71z8j2kt+\n9l9aadtSI+lU2Q2qkXRifZ/8dWJ7j4HEkCKVxShWBrcYu4HSihe0c7D+eTx/FABaDBADUhmMIm0s\nV8D5GAvqOuN22+tiipoiXH3IXNmMrqlq0qz5ZwbgY9GeNjbsOCuVFzVdpf6+KfpSzm6ER5exUWCe\nyAAFzUwuZewFzU0u1c2ApIBDJVMGMtIcnAekYYGXveGf7tl4inZaQGO3PhqXXXYZtre38cgjj9T3\nvrR9QBNRmKszTkNfnXMeNN+BPVfDAEcqCjYSaa+KIoxeulHOxkAzLNMBLNMB9OkA+rSFZXcAy06f\n92mOPm3p4BiVs50Qa57cHB4590jDEl2vAKPrd9D1O0jLk0jLk+C67IAWJxVETW23kmEmo6qNXEqp\nORtUG/LpJOHJOQJqOltiTYKPkipve19Rs1iSvTb2q/XWvSRumdCXE5MIJLh143TAUaJEquoTWzdy\nSMF//J5Ojo888ghOnDiByy67bGU7e9FHw+3r3/jGnqxnY+efff0bf3eWt7cZa09XO9tj7cvf/p6C\njRIDWZEy4AA2UN/XuinuwTdmI1vQqlAaNa+NkpJxVJhCjkapuRmECDAceDQnXXM2FFBEcDEFHA4K\nGnPucqVVNiPKmLKs5mWUiUTLJVStMpYEpqRJv9jkOLV7uoMPRCd0dR+AMbhQJzLkOgaQ0WyVIWlO\nqBpbTustdz2As2lfOnlYK5blbLKp4Miy5WiYXCfmBaijm8AmpZJcUKw6VQmlcGPn81EX9BVpmb8/\nziltflvBCGwUhki73lU2N1owWuo6G70yORt6/fV/O/U7zZfMPMPA8xHgyGluuU9cwVEDFatLDHYr\nfcPtnBNXmVoFHJav0UAgV/kUdV1N/HbAMQIZMwUZZWY5GRFklB6p38F/+i87pzVmHo89YaCxs7OD\nvu9x5MiRlc/ckYwdoF/7c+9W2pc7TSzql5oc7mAjD+DBEsVrkrWxGjIo2MCAjoYWsbCLPvAcPW/Z\noz6vr9OWgg8+gIHn1UGvN4SKNhu61GHBY4e5msUtqnPNkOTZ+3pRq6bOdY0xl4HDgCFqP+bSksM1\nX8VkWeLvlQoyJGw/Nj6MORu+p62Rk7MZuf3cPEJQG/5ND7WBC5Vv8Wi7EXCMGjD69m2br/snPzca\nD+uAxtGjR7FcLkeSu9O1N73pp894HRs7P+1Nbzo7Ub+2vc1Ye7ra2R5rr3/L20EW3eaas7Hi/tqD\n3ZsBuNMb+294c9xS+2asggv9T1pxszk4d9Upx1R0NXbWRKBsRiGtoGrPRTBK0HaZ0zpbF69rieRT\nmZRJqVynb+tnaoxFBEPxKGtlLdQWbaN9WD3jYzYCgckgP/j6WTuz4wNZzZnUUvk9SDJe/5a3rz0n\n+2Wv/ef/nfolnqw9SgxvzMUoks4MtjwNBHZDctF8Dc/LmNok/6I+9/NR5dmNmVunxGjSN7RrCVhf\n8d2XqRF2jw2v7Pr4vywJ3H4ZLkmk1jut/eNYMoViYCnkuI4YjHXsxgT8Uep06Twno1OQMTMWo+sM\nZMxD4reyMAoyFqC8xA1v+5nHd/CnYU8YaDz00EMAgIsuWlVyXX755QCAe++9d/T+Xz0gkG5maCxp\nQ5ihb+Vgc1+Tw1MZKtjQLtsmo6KMRBlZkuZtYIalbKGXOZayZcscvS2DzFRqZTKrQiq7GmiGnucV\njCyNCem7LfTdAQzdFvruIHpLLi9pjpLmyN0c2TL2ZTZH6bYg3RakM5Q421LkyFZCrIIrAyLW1yPW\nKVZWZzDA1VcpGRtVrlEsa3sPVCd/zCbwiE3wxkw8YS8isGAZAugoNeIF20ZxcDHqx8GjH1GrNhWT\n0ktlaP7qvpP1OH08+PiIduzYsdG4OlP7xt+d3Wjjxp58+8ZZjjDX7W7G2tPOnqyx9pW7/sGqGw5I\npcmoqphnFw+pyk6C/KSBjLE7HXn+3SzGk5VJwDj5WhqDUf9HHHC4ZKU9d1aiJuk+jnNR98HBBiJI\noQo43I/lFh5fy5BESdTIJ9xl66tyn5ivgQoyPOBHa/9vlcXQgjQedF3glrv3t9LUbnbzziFt1ucN\n+9yxTSExPFSiipF1DgnKlBglF5RemQwpY0DVnof3RqzQelsdn1SroUU532Mv5RQjvW1NPbYgGUS7\n1vX6mx9VmJG5Q98dxNAdQD87iMGWPDuAMrPKqLMtlNmWJmZrwtAasDFmN0bS9GTB61k3XroOMPmU\nS6TQzVG8ulTqapVWzj3ScgfcL3Dz99YUMNpDe8JA48EHHwTQHMRoHrGeAo1X/bf/EiBYlrs629T3\nQO7BvTvZy8pqdIHZqOwGKauRTEaVpaugI1uJs9U4RHvlN0YFIjMssYUeyoIs0wFlQ1KTXOU0w5C2\nMKQ5BgMcmQ1wdFso3dwWAxwzX+bGdGipOOm6+no0iOyO5mDDc1Yq2AiTCsmgiVa1fFrQIU4qQgH2\nuw2RrDHoGEuo2KVVkDG4qCXbeAwmKlXPQZNIrXSu3She80//Rb0GPh7WMRo+jnxcnam98Y1nN9q4\nsSff3niWI8x1u5ux9rSzJ2usve4t/wQAbF7QuQJAnVNW8jRqUrhF2r06kuVtrGMPViTFk6U5+DyS\nLMVcCJUphXXaZhrYgMqbrMCOV4RSkNEAx24mkQXxmcsTySv40KMJp2elc3hzIFfBxso2ff/retd9\nM+YNTMDG42AxSEQVDVb6X5Dwk28+u2yG26t+/r/X3Rp66w5uDfjMz9AI+iR3I6UmpWJSwMEEYoLo\nhdaVl6I5HOaHIFt/tWwS8tzyOJrs79TGVcJXwNSUG6da2KqmEa1bfwCPkfWiCmsbiJQ2brQqqsn6\neYZlDVwr4MizgxjmB5HnB5DnByGzAyizOdDN26ajkqZVUtDzThN2o+s0qG0LdTNjNVoJW6SZgoxu\nrkFxZzKyNpPmYQeQgte+/R1PZIg8YdtToHH06FEcOXJkJJ1yuzlfopF9L6uVGFgugdz107rEAAAg\nAElEQVRrB+3KavSgmKshqk3VHhu+ZMSf/WOZ3ihaotAgnYENZz86BR3UpFgDb2EwsFHSDEMyYJHm\nLfmnmzXAkSy5xjL5R6XOgmyqdpqsuQwCyr0lYS0bs1GyAgwrucuSq7wLUUIFTcZuhC/aeidVDaZ1\nnJteUCscxERzZzLG+Rm0FnBQ2BaJ4NbtA6Pzf88999SxMbW9BhoA8K07vr1n69rYuW13fPs7T+r2\nN2Pt6WNP9lj7yveHqt3nEsAGgCidqo1nPU8Dzma0Hg8a/X38EWABao+CBjJCyViTP5XaH2PVHFAU\nz60I1Ty1PKl+T+y7K/8fF5NKFU8kD+uPuR4VAEykUs1O5chORTpj0BHi24ieSM3LWLPudSwGoQFI\ntgbA//mBNVKjs2g3H7oS6MedwafgAjQud1tL3UbGgxk80y7h3mfDpVmS23MdDEMt/a/5qq66aPs1\nlbQTYH1dtOdLCn1d1i1MIUdnAg5XTdYuFB4VgGPSk0aXgedYsuYPD8kVMweQu4MonfqVSJ1WgSLr\nieFHVX/DEXiYNJ3ZQEU3SgCvoCPkZMgsVpdS/5SHpYGMBWi5wC07R89ssDwO21OgAQDPf/7zcfvt\nt6+8/+qffpsOJOtICJdSDZoUTnnQ5HC/kebAaBi7wZJNRqVN/aim9Ox+s3BaVVsOcW3AMkiHvsyw\nLDMsRrKr2UheNaQt9GkLQ2fsRmqsRk5byJXZ0EUi8PCKDYg/kPFEgFqJKsqoBmtwOJh0SieYJEPI\nh6CV3IjROgGTMoXIwBqWQ/8nAglPOrekb49ixYTzyHBU+ZVLsIBXv34c9bv99tvxvOc9b+312Q+g\nccMNe18HemPnpr3udftbX/6xbDPWnj72ZI+161//UxBOVqhEI99UXPIwcaFDnsa44qD1w5ABqUZ4\nT81kNLY7pOFKZDbGbEac3uIjUwMYYmADQGUxJIAWz7Fwi7kkDmZGzdcmOSY1lyQwGh7Fbvs0lVCt\ns/Vgom1lIopaSf5ueRrrWAxY4Rm9pgukoUeeH8L1N7x+tx06K/bqn36bOqvDYBIqzbWI1ahaAz+t\nPBUlVdw5yOjqAqD12shlBDYkW5+xktu5MrDB1mNsHefElHVBK1TQcUEX+rzEhdYuUvONALvSFHN1\nmqBwKpFzkOHFhgqHhHEk9BSUMrUy6hy5ypiUacBspiPFdxIIg5IaCCEOCfnOZsxqEB+p0zK2IRBe\nQUbqFGQMC3B/Erw4CZlt4dWvf+N+DKGRPeE+Go8FNF7+8pfj1ltvXfvZ3c//x7j8nlt1oJYBACmS\nHQYQLfVCcwKbM87ZsKb1PIFFZwolFClg0sTwsq6euJnesLjSqn6TbBQwkBzt2joFDEZGIUaiDBZW\nZ58TEg0Q76NBDJIOQhnE1lejZBB3QFFKMN7ghUXlRcxayQyA9aWvYENHsEULsvYf0drjDGQ7FmZA\nWDGKaP6G9rhojIe/VrbC6yt7gUC74ZG/bjIs7x0iCJS8nki7AA5qBFz6wJToWu4//sOY8ha33nor\nrr322rXXZz+ABgCUIuAaIdjYU9JWCjY8ObYZa08DO0fG2vcuvALHv3cbqBRw6gAIhAuEOgtajb8/\nbhKmH7LkFou1+e5U2gAtG9ocegkVfdzxd+mUFz5UUIH6uj6aBCsXQWKbn835L4BWG4pyK/jzADr0\nyGzfqH63HjMiuFllFyKo8Ke+j+tMRKfoAlivL9/JeLL1/BCROsthTzFhMVr+huZkUOk1/2ZYAiXj\ngQtfvC+9DJ6o3f3St+Dyv/wEUJQZA5fm5IooqBDRjuIiymSIAMmkUUwgSibgsGRxIk0Sd3BRrAJm\nXTQ4Kh4ULRlg9Z+mLSsTCQTag8VVHbVIAKlPOAWgu5uEx+nzNa9Fe4oIdW3b9luKPqZAZf6JE5IM\nmGEBSgqetEFegZQB0s31WAfzAcGoeSr+40n2O7Vk8aYsCcfH1ErYprh0SN5Yul+AlwugX+C+F/wj\nXPHEhsVp2WkBDWZeK4MBgGuvvRaf+MQn0Pf9SoO2K3/gB3DyO1+CzA9oU5icdfDaCSZigJbqDvP4\nJAoICT2IBIVKzepnKaHp0NiUkmW72FwT4LyLZI3GCMM7oHZsTYmI0MlgyLYYDa1OdeEOwp3JmxRw\nsCQId5b7MICKoyO7eYr1yvB6yfGHFPpbSNL1uNzKSxRSzuBEkNKjYGZ5EZMf0GiisQFZer1LEgGS\ndZ3TKlJO1VkOiNi69JH1R++DHQA8ygCpciz/4V3xwheOdmm5XOJv/uZv8Au/8Atrx8uRI0fAzHsO\nNK580YvwrW+uMmsbe+rYFVecjVvkY9tmrD317Vwaaw89+E10i0dRIEiiQKMkaU39wPDmrBCqZVc9\nGJQsOFVgTdaoVEdp6pS5SCTKpmqORAFKeB7/SwIA8KWE/Ateg9t2cweJ1KmsHIG0x2SyLkcJRTz4\nG+FIYzAqAGn/8gRMYVJ0P2k058bjWAMygp7fQQbnpuKg3GN5+GJcccV4Dn2y7MofuAonv3IQZfvR\nMbCwZGQSa+jnCeClXWxK6hPVXFTL2QCgF7+UCjiQW5l/1NL7sTLoRPZNMBd+0KAwEbI7987k6aAA\nCLqPARie6rqPWY3wPq0bn01V0jrMcFXQqOdofqYFeZmLth1IxtyUAVTmmqeS5nourDIoqmJErGqp\nSe9rJVNaDYAQWS7GuCGf52RQr8nfWC5Qjhxb8df2y05LOnXs2DH9ga2xa6+9FovFArfddtvazw/c\n8E7tAZGsaUjntE/ShPDaY8OkQ6LyqeRSKultGaz8bSuB60nNbrU5kdO+gdHwnz+T6P+zILGAXesH\ne5RBm/dZAz9U9JpURpXm2iTQpFW5m6OkLeTZQeROl2F2EMP8iC5bh5BtKfNDyFuHUbaOoGwdRj5w\nRKsSzA8gz3QZZgcxdAcxzA5YcvoWMneaxC2xG2Wg1qJ8ijiUuC1GQcKa7EWAEYjympfREPSoWR+k\nsjRRMnXkv37ryvW+7bbbsFwud2U0mBkXXnjhngMNAHjBOXLD3tje27l2bc+1/dnY3tm5dm0v+NE3\nAKVYAZG+NsDlHCrHRPlFqDrFXkbd5jQWfe7LNGlWJcfe3G/MZCgzQRjKar+MXFCb9sX3cpkeze6y\n52hEpWrw68IC5qa7Z3vfJVNM9jn7Z5pV6AqGum6c2vls39rtI16/ggmwiN/gKcgYliApuOhHXv24\nzsfZsgP/7H3qM/Q9MAz6mL3PRgqJ4TSSUGk/B5VQ8awDda2/g/d6gFhjv9JkVGRgpUm+Q2l+CZK+\nSWnl5sjK6LHl58jILVpnbd3xvdXvoKo/TuU+N2qu5XK4DD1BSJtNF2Mb1B/WsrSjDVvSd/WV69K1\nqqbc5FO143fXKkzxMAUZO0AecOi6nz3F/u+tnRajsZtsCgBe+tKXgplx66234qUvfenK50QE3jmJ\nfMgSUIzaIljEPfdatSD8eCXB+AoBSQJTssYovjRWo3WHRM3LcMqWSd8BaZRmnelaFLww7CZcBisJ\niwplYgIQU7YEuwyRjMxrbp6eizFpple1mu68oyir4N3MUwehDpkTCnUakSrLCsI8aQpeZ9pfG8MQ\nb3RTYKFntHX/jlGt0Y/IfuBCHLqYjxPMYRKvqd16661g5rVjwe3YsWP7AjR2A8MbO//tXLu259r+\nbGzv7Fy7tkSEfOAIuu0H9d7MCSV1yrY7sxHNGXMUcBn0cyEUEhDFSLBKkn0OKMShyhNjKIxSEoaS\nsMwJfWYsM6MfFGgALUkbcBZj/EikDD+DMGrYtvY4x44hWyO9CBEq++7rGl2r6DT6jC/1f8fvP7Zp\nYNxVFmv+i6jKvaITHLt9Q4p1/Lbk7xBY3Tl2OQ6fg2ONDx9FfuiBymoolVWsgV+rgkQpQYqAEvTz\n2WzEaGjyuJ07y0UgZqs8ZcAiKDzGbFDYJymVxYjXoYkuIoNhEir9xi5H2UCL91LBaJS1HdCqnCpH\nlwl4JIxHV63jSVkT1pGRSkaSHiQD2KRRnhfrieHa0HkIweDAXvhrYnOdx4Fl4WSlbK2EbU383gEt\nF9rDbrlEvvj4Wb2v7TnQOHz4MF784hfjlltuwbvf/e613zn4k+/Eo3/+7/SkSgEo2yhh7Zg99PBy\nXmwnIwNIUsBiDrfk9YADqUbnE1SL6qNhWg1jeoupNwaIDYqhMieqa7UcBu8pYcxGps4iQgktQX33\nbWiCU0wOk/rcHXdtaZ9CJ9ekUSjrq5GKRbIqWGlAY9Ssr6jEyZv6xSaCEUxElqN4srn9XFw2RRYJ\nGwEj2++jP/7mtdf6lltuwQ/+4A+u7STvtl9AAwCueOGVG1nLU8yueOGVT/YurLXNWHvq2bk61i54\nxZuw/X//IWhYAqkDS4EkDWB5aXKVvbo7VsAlq/Q7a6l0D+ZpYzFBEb3X6xyarHz8DL106EuHoXTo\nDWQsM6PPjEWvQCPKmcrkeU0RQZNMuZpF5+TmBq6LOse4cdIyWnV95qqFOd6/6XPX+vWUFSbFWY4x\nOGmv2+fN1iSD139dBRkk2Qq8WKBw6CsrVbo5nvEj103Xck7YwXf8j9j+1/+zshnenVpEZe+SDHCI\ngr2kTZG93wbFJGY2YAHoReZxMHOUaIMwiMJ7JKpREWIwFeQ6fpw9sFd1WEmFGw2kTsCoA41QjQr1\ncbpHKo+iupopRdf2hZFrcNsZw1SWSHlAqgV/dCxoAaCsuctF9LDZStg6uAAF6RRVXzSqVworWCnc\n1UZ8Xl2KljvAcgFJHQ6/6p/ter33w/YcaADAj/7oj+Lmm28+5Xd4cQL58DHAmwYRKVImRbg09Bpt\nIfbLiiIJIglEDjhcFZet0ZxVSqLKf+jjyKEeY1CpfyfvChRgGNXc7oAtiuLPK7MhrSSdIt/xMftA\n9e81KrDYvbI9h63XQYaDHbZKXNo1XOVl4zK2Yg36vKeF/6AbOKj7EyVRCMfnOt8aIhClLx0YOZ3p\nkYdTUIg333zzrrIpt/0EGhvb2MY29lS0cvAouofu13twsntx6lCbnnFX7+EedGLAcjI0906IoTm8\nDGJATDtg3Qa0OW5RoLEsCb2BjOWgAGPZ04i1AMY+YwQaI5DxGDYFGzF2zVTqXEqjb6xx+Cdgw01F\nB6usRvuqhG2KyamHXaPevu2RdzECGcomeflatiqblHtQv8DJi567UkTlXDI6egTl/u8pgyEYsxsO\nKlLS3AsR0Mz8H08CB0Le7YQlJLI+HdMLtcJdqYTKfCgFy6VWH1sFG2JqlgYyqH7atlHlVfX5GHCM\n92Bq632fWgkryBLZ5PdcvJqo+W/WR46sGABigDgrsJPQsE8CsxErkAKkTAZ3WpFuWIBMMoXlAlgu\nIYsFymXP2v1C75OdFtD42te+hk984hN429vehgMHxj0T+r7HyZMn8eUvfxn33nvv2iZtAHDodf8C\nj/7F/4EyO2Agg5SSKsZulKyN7OwCsyhVp9GajFI6MBGkpBHIiAnOTR4UWI1TpqUEFGsP2oVVAJNj\nRaxbqS1bb2+nU9rqML51qZGfdoPdPrj1rbYPPtw7aaV+HfiQZE1Gz/1ILoXIanCy6I/dbMVS2UTr\nZ0RKcfXceeQBlvReqsZ3XGkKOPqK9U2s7rnnHnzlK1/BlVdeubY4wM7ODj71qU/h61//+so42kvb\nRJqfOnauRpjdNmPtqWPn+lg7+uNvxon/69+CljtafCSJVTfUJF3hAkmdzkAiYBlQSkEtBuJlzOsa\nq4Ck5mYUsEqlolxqYCx6wpAZS2vlUZO+0YBESwJHlUxFi98XgdYsGTl3MlnaezHhe/TM5+OwrSap\nic6t/9c4ug0/A5XFKOgsBzSZ8+glglu/jBJAhUef9eA8Ed+ZjDS0vmEKMpYYDl2IS675R+su8Tlj\nh97xfjz6rz+Esn0C4KKJ4O78irTO1Sm1M2qsxWNKdEJZXMTk+sl4IcgkmEsVgWqX+8hsGLAwH2sM\nOMbwlOpYaOMsgkzN79X/F5jcEK73mIBLCJgGy3+yYkGikimy18laFiQfA97SoGSgSC3tq+V9wx5L\nZw2vyXpvRHbD2EmOJWyVxaDlArLcgSwXwKEjOPzqf/4YV3vv7QkDjQ9/+MP4lV/5FbzjHe/A4cOH\n8cY3vhGvfOUrkVLCfffdh9///d/HPffcAyLCpz/9adx44427rosXJ5C3DuuLwGhQUckTkWblY0Bt\ngEdWWYNDXwfhpK8pNJebAo34ejLwaRJiGdW7JkZpPFy9FbvmFbafjZsYV+4YE2tkWSNDHdx+A/TB\n3xoV6XszWmrZXWM0lM2wxoaVcuttcDYpk5CVmpv+yOssUKAlchV8kBSIqO7PwRSIrIRtZF7GoGZ6\nLqN9+tOfBjPjk5/8JP7iL/4C73znO3H8+HHknPGXf/mX+MxnPoPt7W28/vWvx6/+6q/uup6NbWxj\nG9vYquWDR9FtP2IgQwDpgGSee7LADidwyRCIBqFj3yRfEbUYLqDzRyned0orSw0GMpYml1oOmtw9\nBRYC1MqcPp8xKZCI1akSuxPYmAUmzcf0Tt6j3gd1lh1Pa+oE1ld+OOHVbsHyGN2eshrSisIYyHBV\ngYMMl0lH4OHPo7FJZNIoeq2AQ4YeJy94Fva/ZdqZGx89ivzQw62cbUogLrXyFKxBX3Pw11iV+QRn\n33w7uORvUpIsKimq/M98KS1jS6pqAblYXv1HBB6DgImbp6tEADZ1GAoKkdeJCt9VNkVzM1ZBB0Ga\n8qQuympQsdcl1/wcytGPa5W24JVJ7cfixwMANKB57Wmm/lpoDM2W8M39jqYgLLXCFBYLyHIBufz5\np7zG+2Ukj5WRtYt99atfxU033YSbbrqpVpja2trCz/7sz+KXf/mX8d73vhcXXHAB/uiP/mjXddx7\n7z04esfNGLYOV2qXrLwZFQMZUrQDqpX40oZxBijqo0doFGzoNQl0EposCEB9HyEqoWejIUNtVsf1\nZqzoMTSyM2BTQLVhS5YOvXSVNZmeWAIsOtJrZ9b6nZXbpN7Y0YFRMKcl5vkkZnkH8/4k0rBjqHUJ\n6he1/nYFFrEUWqggJZURSlrpgBiFtbFgtpK6hToUTsikkQmv+sVZc1XImwhmZXpOPvdlOP6s9VTc\nm9/8Zjz66KP4V//qX+F3fud38MlPfhKLxQIA8EM/9EN4+9vfjre//e24+uqrH2O0nbnde++9OHli\ne9+3s7H9s8NHjuL48eNP9m48pm3G2vlv59NYu/BrXwRvPwypTbz0ni5WmaZw0kayaWZzpN3rLb9R\nC49waDiWsMQWFrKFRZ5jJ8+wyB1OLjvs9IydJWPRa1WpKpkKIMPN5fmR1ejMj0xhYQa6JJh1gnkq\nmHcFiUurFGXVpsiasE0rA+1m2oFcE9pbQzapz6dzr69Xu0znEZMRczU5lgt2wBHyFUfAo2RwXmj0\neggVpoYl0PcYLjqOEy/4MRw/fvblLE/U7r3nHhz99O9gePBh7QBuDIR3AIc16avsxOM0ms+B+RZo\nNofMtoDZHDKzxsezAyjdHMPsoPomSf0rL45TzCcrlGpD5l5mEx/MWS5afQ/eg20qmwJoQsFx/Z7t\nt5UG8u8ybJxYbi+bTMql7uSAowyjinHarLrXlIGsjxgGSB4UvHkjvtCkTzr7jXOnvhxrqWqvLEX9\nDmihTAaWC5TFAnzxM/DwK35mV39tP+0JMxpuV199Na6++mp84AMfWPv5W9/6VnzoQx/CiRMndk0E\nvuyyy7H99W1g63BlJ7hko4M8Qdx+vH2vNBDQHOnUHOjqSFfJjyNnG3BrXte64zW5W01G4ETXpcoj\n5SsK0B4pBdZC15CtwdHUEmW4aAkwytWe+X8TgCypVtDqZYYa5jGbA3pjy73+Zx50YQYo6Tnz81DD\nPT4T2E02vg+jGkVv5iRUmybWEnNwhO25H4rjdxu029vb+OIXv4iPfOQjuOaaa/DRj34UH/3oR9d+\n92zYZZddhm/e/vdntdLCxvbOROS8cPyAzVg73+18G2uP3HEU9OhDoL7XRNJi0WYpkKSN/TSAT8g8\nD5Jfz8cDXOctUMajSAqdvzl0/m6la4dhzBQQYWXW81YAOucA/dByiR2AJGlyf2HdTufrq6Vo182o\nQBR+uRWg7bcdgwcUmZqCYQV8kLEYBjSmICOVFq1uBVhkJJ2KDXr10SQyHhi03Az0SwgnnDhy/LwA\nGQBw2eWX48TRo5AHH4Yse1BXWpM+ZlS5djI51dq8CzPP1YjAxP5XYlDUmDYqBcwDkK36JYpVGx1X\nHs2kLu2ADkXSiLNab5OO40ELFZk2/WvB6cquaREFRg6aFIz+px6u5+hEJUrJBkbdN3PJVIY4uzGY\nX2bAVaLHaMwllUF/aFJAvQafXS6F5QJlZ0dlVRc+80kBGcBp9NF4vPbWt74VOzs7+MIXvnDK7x2+\n/r9BWp6wyLrVFY5Rd2uOh65riW7Lk8DyJGhxErTcAS9OgpYnwcsTSMsTYHteH/uT+n6/owkyua83\nhtEtbNqDYmIV+Y76UqwUBgegYCNLsmV8mt219+pTUcvXREp+o0xYlDmWMscyHdB29t1B7dMxP4Qy\nP4hy8Cjk0BFIN8fqrX68ZZV9GcCJnDfsBlzp32kJWxm9FmJc+GM/teuWvvCFL2BnZwdvectbTrE/\nZ9deeOWLnuxd2Nhp2vl27c63/d1Ys/Pt2h39ibdBDh2FDD3g0fKh1ya4Q9CBD72WUzVHOcZmo1vk\nFRU9Qpy9KZ+0KcOUMv7vsZjhaInm06r1aKt9NVSOrmV0s4GPLNRAAFajy2Mbf+YlecUaBBbRpHYv\n0TvYMfnzYvNzsgpBiTK6mpMRknjFC7D0SKUtbBIYztrlm/PCpFKByfBrYUwG9T2GY8/C8Ze84ole\n7ifVDv3c/4TZsQtQhgwZMko/QIYBZRggQ279NmypWrmqf5v4Vw4wiDViz8mSn/U9zQsdkPJCz3v2\nc67J1Kn06MoSqSzRFeuvZtePkdceA6193oR53pCypYSPG/I1EDv1taZCeVu8OEP9gFsJaimABNmU\no+9iEqpB+5bouXTmY9A2EP0CvDxpeRg7BjJ2QIsdyOKkVphaLCCLJfiiZ+Dwq9/xRC71ntppMxqP\nZS960Ytw1VVX4aabbsJb37rayC3aiYcfwXzrCEqaqUNLBCI2dsOi51JqshsEoH6pF4i8WYxxsuSl\nxyJ4aIOYRNogJs3SR2AvakrQlAkJ5jkaHLqVrrNcLJmbV7/lcqxUBlcRqnxJqLIZ3lUyS1cPJTIb\nAmit5KI3MpWcaYk0ysNI2wiTQlWlnLEeZJWpuGQUBlhI9YkiNTmvgiqXmhHh4Z0lLjzFsX/qU5/C\ni1/8YrzoRefWpL29fQKHD+9eandj555tb5+fMqTNWDv/7Hwdaw/xFi7qOshyCSp2ny4FUu/dViqe\nGRgIuWMQJYC6ICW2IFdlArhKjwCdZrskJkkiMDWg4IHg6XRZ7AP251BfajCg0XWWvyH2OoCEIqgN\n+NZZrUQUmPkGihwgsc3DaPoBb94GDa4x5+ZSUrHeBxoEHDEZpcmI63zogTuTSUWmw51HjlWFemU1\nyqHDuD8dxQV7dP3Ppm0fOIL51kMoJxeVvQAz2B5FpAYt/TNKk9wLsr5bxCoNMv/N/S6yappR7k2c\nVfInnVUezdb8jsGcMPAMyeUmNg4HIeTqNAW6YvS87tREaoXwXVSRlbMa7Dk6aGO0yub8/yaBaAcY\nBNT2DkQFwGDMhv5mUbIyG8MAr6osAMh94EHLBYv5sX5up0yGLJagA1t46MAxHHy8F3gfLH34wx/+\n8H6t/Hvf+x5+7/d+D+9973uxtbW16/eOXHkNhu/chmHrSKV0412rDoda5cEeS6mIjzyvYwjJNWjy\nIPJ1uiovoOua28EehhnLpkZW90kjQk7dNfkVmz5Qb5Z689IbF3kHU9hzo1wZUmm/goRBukpdZ2H0\npbN99x+n5ZBYJ/Kc5pA0R+m2UKwrJLqtpt1DOBZfQj1rn2jGJedse6ZJpdKYF4Bw/MffuOv1fPjh\nh/Hud78bN954I17zmtfs+r0nw44fP44HHviHJ3s3NvYE7MU/uP85PPthm7F2/tn5OtaOvuAl6O/6\nGvDow3CZLEWZEGBJE37/b4E4LwmvOXsJA2YYMEMuqRY3cVfK0151vhivKlpL4DYL+Rs+zRTRjgRs\nsULv/cZsXb0JtQO4H0MFCP5Y1ydVJiVgky8r2BAoexEj1W4dl7okzugQpVMmm/KeWtbDiktvCb6h\nCmSxKpCTpZYv7Q1kGNO0vPT5uPzHXrcXl/6s25EfuQ75b/8c/QMP6xsSPOFxZv7IdAwyyCtREQOz\nmTb2Mxl7reZVwUppwWUHcJ7/4kHQ6oVjzJhQTdlWry/k6foerQKLkIkRAPj4u57zY7lD7s9J5Tzq\n89YzTSa+pMvYDQLXY5XWeb3kVn0KhsaL04Hm8+bcHvMAWWjyd1kqk1F2dtBd/hxc9NO/eAZX/Mxt\n3xgNALjxxhvxkY98BB/72Mfwnve855Tf5cUJ8NYRDLODYCJQ0Wi7O78sxapoiA06164BslwCw8JW\n5A1kUv2Oc7x6UVMbdOQNAQklWRdU2k0NqtZYAgUPna2XqYB4poOMBIMUJEfnBio6o2JjBYtUBmUy\nqmQq1Y7mMaq0yDM7dMJACT1vNQ1p6ZE6Szqq9boHK0VrN8IKxgbT9RVFxFKUxQBrd0425G7U9Vgy\nFXI/TmEf+9jHcPLkyVNWHNvYxja2sY3tneWDR5EOPgw8+ijQid7Pu8603VAHD6xqAWJIx0Beqg7e\nwYYVlE+U0XGrONUlU3QwQZKuLxXUnA02ZiPvRvE7qwG0miWgKp/Ktq5UgFIEmbSyZCYBF0HHVWsQ\nV1nfc+ZlxMbA80pYpVlwX5TAKSuIoZafURkNKuYgWtUgK1LDrhaorIazFjEnY7XMPAUZm/RLyLFn\nYvvIpadUBJzrxkePojv6MPqHHwUxgUpSJi2xBiW7VqIVJfTbMH9MGQ51nmWwEvTfUykAACAASURB\nVP2FgSFB6ucJxJ3mGbHmfxROSMWYjdRppVEpIK4wtj2wqUZQTJbnoLl9LyaIq2xKPwuFRsN/6DOm\nOMhlBKjXsW9asAgtuTd+JvrjIS6AnTPqOkg9dz2kFEjOtbu6lgzm1rwvdg03JqMslyiLJbqLjqEc\ne+ZpXuW9s31lNC644AL89V//NT772c/il37pl06ZHDl//kvQ3/lV9FtHAFgXSQB+eTVo0cqI+fCo\nFSiGwXpw+PcIoAgZqBIlK3pBl02FxPLwX+ZwG/sQKk04Uo1qPj9EtqSyzqMjlNHRgA6qI+xEHwnS\nokmUKtDwqEw2ZqMvXGuaZ0kY0GnUCR0yzXRJc2SeIactFNbXJWm1kZLmkDSrKFt/IKF9Dfk5ashf\nAMshCUADwLGX37DrdRQRvOtd78J1112HX/zFJxdF72YXXXzxJtJ8nti53svgsWwz1s4fO9/H2vy/\nuhrDnbdBHnnIoqBocya1BrKtO7O9Z/NdqR3FfXblMPuGRyEQ+3q9BC21fmwTVUp1xAILMfoczV9i\nasICXa/OqVqFKjh01LbvAKMIQRxoQMFFCZ9lUVl1xxJYDH2eKCOxsRiVzbAcjaJ9EShbeVsDFJqT\n0QJ5bCCEsjEZxnSgX1SQAREsL7sCl1zzj/f24p9lm/3wdch/+2dYPviwFh8ATKaHdpHWFDQl8888\nEIxJWdfqa9U6/y1Z2pOwXZLEgWcLA6M63VKVJpVnUMWJWHDZg7sSPUogbMX3oC4gK71cgam0Smge\nIq7yqQhpbN8mtJ7nv1ZZ+kh25jkbBbLsITlDjNGQPECM2YgMR1kuK5MhQ8bsOc/BoTe8+wyv9pnb\nvjIaAPCe97wHN9xwA/7sz/4Mr3rVq0753bQ8gVl/Asuto9pLgzWqAUAZhCSwnqY1eiA560D05BkU\ngL16sjEZIkBydkNGYEOIrPM4QTiDRKM6IJUN1ZJ1vpOTHw8jo9Sbj4BZIyLjHh66Bi5Zy8XKUKMk\nOY2b2K0zjTCpLnYxzJVJqTfLjORNhUhb3neUwSmbzlTZk63hJGbDCTiYaMeiVab0ea75TMQAi7VL\nFO0EDlqtrTC1P/3TP8VXv/pV/PZv//ZjHtfGNraxjW1s7ywfvADp8MMoDz1g0dGZVRNkU4IwMCw1\nsGrIoNAAcAhCEYytHyBEmHFLkq0ylKw5GsnYCGc02IJXuehUQtSmTAIg3lha00Y08bu09ThDkgoh\nE8DEqhAojBnnJtcC0PIyeCUvoxQK+RoUKgihOocuY1YVgoX4yHqie4GWksHF2AwiCJJGyq0gSi1X\nWwSwJPtRLwQpoF77ZaDvIcefje3Dl+LYWRsR+2d89CjmFx7FzvcfgGQBd4xi+UFUBNx5wrNUhxkA\naD7p8eXVAThBOq06Sl2nII0TJFkeh72mZIWCpEC6LR3bDqhjNTBpgIBIX7uULrpxFWS0iKuL7QM/\noc/SKYsS2DfJ+6m1amoEmHoG7YcB1PwT1Q92oJSBkkAlQUoH6gxodAWyXEIWueVksOYyg0n7lxCh\nLJYoiwXyYomtZ12KcuGTz2YA+8xoAMALXvACfPzjH8ddd92Fn/mZnznld+fP+yFlNeaHIDyzkmmA\nI1YfTADg/TWclsQwhMQbC32YZrBK9vx/iUACo54UAY96TBCjsNJsNZYzqboUX3PJIeajTVu6MmgV\nhKLsRSeq6+xM1tSVpSJuTmsZDVgiuKPreco4kHp0LChg9JmxyB36kjBIMqajw1CXGQaZWWVcL8+n\nHSnZfuSep1LpvsruUAVjLr8iCECMi1722lNew/e///0YhgG/+Zu/eUoG68m2TaT53LfzPcLsthlr\n5749Vcba/HlXo7/zNtD2I1qpxl0mYx1iEi6IrT6/V3zsUGpyuOcbtkhuZDVcqRFVGzWJ2wKxLtkH\nJgIC1GnGHDDUCqnKXrTPU8jX4BpNbuuowCKCDCsv7wDDQZL/T2IBs6Cz/I/EpZa1ZSpI4iVtNTCo\nB4Awn7GBEQvClWyVvrTMvOeI+qP0WmkKW1tYPOsKXPrDP3HWxsN+2uya65D/3z9H/8i2Vp9yqTrQ\nwAVEmQqjqshkUWS5GiNbYTiCr2XATfMhzF/rZpBuPu4TVh9TlQSK+1NgY7ycV3MAusrYARTGv/2K\nAkCNjIY/ggQkDqi1N5n6Uu6PShtDgto+oPVjcekdalEkDQSj+ba5oPT9/9/et0fJVdXpfvtxTlV3\nOiHpPEh4hKcCk2jAEGSYBBhlULxARBTWvY7DiGu8CuI/o4KoK4hL1GF03asCF1SWOowDDiqDDsIo\nogIqCEjEDBIeEgIEEggYmu6qc/bj/vHbe599qh9JoN+9v7Vq1aNPnT5VZ1fV/vb3/b4fTEn9NqxS\ntWtTFNADLfBMIt9nX3S/deLVDGAcFA3GGD74wQ/iIx/5CLZs2YIlS5aM/ITWy8gbszDQnEsr7Rzw\nspIRrljGeH+kdbnhLntYazCBKmXM3bYAPBFlQBiY3rs69IFzWNjIVudkMEtF5j5LO8Bal4pQVg/5\n5CrPkt3A8vKr5pWaUQ1tTX02GINgDBYGGbfIuEbGS+RcIecShZAotUShOfqLjJobcVI6BDdoihIN\nUdKHJCRokVReJWlF6gZIsoTLMgcogcr3zADjaKuRMraAp59+Gt///vfxxS9+cVKTDA+tNcRuNBZK\nGD+UZbnzjaYQ0libvJhuY001e5D1zIbZujVM+Jj73meu+Jtxt1rqVG2a+fhlLQDOCkJdn6i/hOEa\n0tKMn1uqb1TgsIbVgkTDetUIi7+eLMQKh1dGlGaBxCjNgqrBLf1fGZIoK9tLsMF0rFYD/me6WnC0\nlgGRwuFfHyVO6fD7DIBCYmDClIL6ghi3SFhNcBkXoQ7DT5KtdnMEpag2Y8lSvNCYj3m7f0onLWxP\nDxp79ODlp7eBGQ4uBIy1YEYEGxDPd+7aqMHXJ3Ca00EIVzDumjQ7RSM0cHaEYjj4UASvbJAhZqhC\ncLo9eJbju4RHr9s9HtuqGDgsM67Rsysq5841YzgsU7BGV/ZAg9oCN1wdMtUWuyJ3LQBhqGbFGGqK\naAyM0tCtFtXHOIbOOIdRCrrVRmOvxWj19KK5e+/8mGHM+mjEOOuss9DT04NLLrlkp9vOOfZdEEU/\nhC6hXVdTExX+AJU8BlNlD1vvZfOM2Fem+Q+9r9b3vrchUSkYsLamOJhI9QDjbuXHFXsbDanakGU/\nZOEu5QCy4mW6lGQJy4p+yLIFrgv3OkgNofg8RfUQzLg8b1/bYdEQJRqijQZrY5Z4GbNkP3rkAHry\nFnryAj2NAlIYlJqjpUSVAR3YeuwzrELOrVM1qot7Pf6LNvgHAQuOxUeOnJJxySWXoKenB3/3d3+3\n0/M8GfCa1x4y0YeQMAwOOfSwiT6EUUUaa5MX022szTn+TGDWbLCuJhWFlqXrb+Ay+OPM/lihD4tp\n1W2/egvQL4ngVJjL+QgsApXaESMscnds5x1d3kalo59vbckCpU1Vr+iVft3RL6Pzfw36P07N8GqL\nJyWeoPjXDsA5DCiFqz4PENGKOXdpSY50uAZ1tlSwRZtUjLKALQuwOXPR3mMxDlx2xK6cwimD2e/5\nBOQecyC7m9CFgi4VjNLUVyNOBohPiBl5wbK2nXaNm6P+Gr4jtuESPjUt8quMCK9bkNpWJZG5lsTQ\nnoREMckxKQnktoPg1sgul9CMLorndBE5lGhQHa3IaG4r6DWE7t4ic20YqG+c5QJMSiJaUhLZcNdc\n0sWUCmqgRZdWG6q/BTm7B7x3Aea++d279j6PA8aFaMydOxfnn38+rrzySjz22GM73f6Rp59DVg7A\nglHkK3d9JKJEB6rHqBfNDEk2vFdypMEdD1Yv9wH0pYGKYBhE8lxcbBTIUAbDM3ct6XZ08QMKYFRE\nFjXq87UULm8KwkXiZqxEg7eRswI52mjql9FtX0Y370e36McsOYCerIXZWRtzGgVm5bQ6V6UpuA9C\n1DHdEwtfc+EVHv93+honSZjA8fAzz494zh599FFceeWVuOCCCzB37tRxoD7xxBMTfQgJHdi0aXqe\nkzTWJh+m61j744AAnzWbmqgVpbNWGFhqguG2MvVlKG8Hdn+NK/LioJMY8WNVEEp92jcUwfAwti58\nBIJhqAu5MQxae7LBXLO9oZql0VEOBcaqugz/gCcn4ffRTy5ZtLDoUrgM59U8wBEQy2O7NQ+N56zv\nGQHAKiJ4VmuY3j2x4fli6DdhiuORbA/ke/TAagtTauiipPmYqc6sHXZxdwQIQfG3brIN4Ro38+q9\nDmpGFOrTifq/rm/jtLxou+oTEd/247SuZHhlJCowZwK6lhwqoFgGxXK65hkRDdGA5pVlkRpTi6DY\nIG5SLasLq10EeEZzY90qoPtbMEWJfOF8/LeayK4ZgzHmNRoeb3jDG/CNb3wDjz/+ON7xjneMuO1e\nh65A+eQfYSSdjCrDWkG4LpxMKddpswRKRasHSlUe1NgPxxggHCP0zWE8exSZG7TC1WyIyvPnvmSC\nzuF8qpXJFO5x5pKdXNITly7xidKetKCO58Z17mZwqoEfzFFthI0+MJYx5EwhYyUy00ZuWpC6QKZb\nENCQzEAI47LGDXKhkAuNhlDByyq565Tpsr+FU1Oqqjr/YY18u45geVjG8JrVw3cBB4DzzjsP27Zt\nwzXXXIMs202pdAKx/wEHJP/8JMMbVq6c6EMYE6SxNvkwXcfaksOOgNr0B7CiBdNug2VucpJJMJnR\n6rDIYIWb6LjVVcNlmLiZWp2Gj4sln7uPjq1WfumCMHmvJmZDqQ3Rcl4NvnicuZqI8DMV1Xe4LZ3S\n4o+RHvOkwUSP1epDQloV1WdwF3FLsbYWlZ24g0ExBK+9Zayqz/BBMMYtzPlYW2PAtIFVJfiCRRjY\n80AceszU7JuxMyxZuQbqgdthWi2U/W1wycEl1WH461pthuDh9pBgnCbWUY8Nm+WAq8kwMnN1RbTA\ni2gxOCz+dtS9RmX/MJZXNUVDWKcGB95YV2lR1bOGyo5QM0TXxvL6/0LUiyYmRmC1/+aJvk+JC0dh\n48f9wrp3m4DInPuQGaXQtagX2T5LsfS0D4zS2R0djIuiAQDd3d1Yt24dvvOd72D9+vU73f6ep19C\nVg5UD1iEXGp6k3XFmq2hQiTjbVJO4TAGvtibRXYhDDfAHfwJ9vcMYzCMA/FKh1/VYBxGNKBFA0o0\noGQTpeyCkg2Usgtl1gUlmihlM5LLBCzPKI/busY+xidE+V4bBhlK5Ggh1y00dAtStZGV/cjbO9Bs\n/xld7T+ju9yBbvsSZrMdmC12YA7fgdniJcyWfegWA86L6pWLurLRqWjETQf9NpZx3Lf5hRHfr/vv\nvx/f+c53cNFFF6G7e+p1Qn5o48MTfQgJDtP9XEz31zeVMN3Pxa/bc8B6euiOV+rj2Ez4AtvIw+4L\nUuEn5UM5AQZThND/j9UvnehUMIbaB0Cqhu8erg2DMmSfUoa7ABQOZeIS08H2KT9xrAiGJxl++3qS\nFq1EU3y8ZpJWp1lGE0cm3DzAW6fpOsTh+5Vo1wGbCQlkEjzPoectxj1PvTTMq54euLv3MOR7zCYS\n0TG/qqsZO1E2nIqBvEEkQ+awWcOFFviEJjeH8qEFYXG0c+9DKxzctdr2pLPTYt4J/4iJ/h4Xifsm\nkWTBknDhyHSx1IC5REYhPSyD5hkMF9BcOLeLI/mCFAzLK9UmVjIgM7dYLgJx41KAuQsXAtn8XvzK\nLBz5PZ4AMPuKNK1XhrIssWzZMhx88MG46aabdrr9i/f+BP2zFoJZg0wNQJYDEO1+8HIAvD0A1h6A\nbbeAVgtmoB+2VBT15T7sPCcWHIqJhHRdsyUlFggJ67ppk/ogYRmt7mhGPkDtvJlVh0eXfGB8Xwnm\n6khkJLsSIfGwjglLU0LYEkIrCFOA6xKwgJHOs8dpECqeQTMJYUpkpoAwBaQqIHQbQhXgqkXPyxrQ\nsunSQojNxzIvsXmyeHGrkauXkRUDlKTB6nw6IPp1sG51Z/5OMr9POukkPPbYY9iwYQOkHPN8gTHB\nY48+MtGHkIDpk/4zEtJYmxyYCWNt4EdXwGx5CtZa8K4usCZdbKMLttGEzruh8y5otyhWymaYZCuW\nQVuB0mYwVqB06YbKcCgroA1DqQVKzR0xcPYmTZP+UsdWqKGPL+4ByyNy4tOnGhkghUUjc5Huggq3\nQ/AJM24l2TXn89cmUjT8rWjlmYGSp3KukfMSkrs4eNRrJDlMsDZzF3dPTfxKZKoNrtsQZRu8bIOr\nNnUAVwWYq81A3sTLS5djwRTvm7EreOmyj+HlTU9DFyV4lkHkEjxzlzwDz3PwTIJlGVieB4sZgErF\nEL4uwdnMReU+sTKDkQ2as7kFW8T2dedAARM0h+IZFKcETgOB0sqqzgecrHlRClVMMoKqFocjMKef\nOfVLchce4OpqvZVqsLWKxiDV3BpQFzRKIpXaze90Aa4LN78raCxpBVZSrQ8r24AqKeK2aLvrkmqw\nigK6XUI0MjReewi63n7e+J30XcS4zgqzLMNnP/tZnHHGGbj11lvx5jePLCU+ZvbA0rIfRdaNMBn2\nFh8wV9HlVA7A1WJwQIAGcegC5DsA8er5scLhwKyFZUOxb5qsG5AtixvSci0qUmH8Cgh3EbW2igb0\ng4xxCxjQNcsBgAaVr4Vg5PXjhoFDQzqSQV9oBYSiLzTmvsh4nkOIgXqRuvMuWlT+UbKAiXr61E7I\nhccTZRfmj3COfvrTn+Lmm2/Gv//7v09ZkgEA2194Eb3zpk5tyXTEi3/eMdGHMC5IY23iMVPG2oOL\njsBhfS9B7/jz0BtEgR9wakZc/B1tOMRjcI+R5aiq0aB+BZyRoO7VjY6QRrinuedE+2PVNsrVAhN5\nYbCwMNytKFsDyxkE10MeXVhKI4uC+x+VquFCK2Esg7LC5WvRRTBnA/M1jf5xaNcGwTkAmIQRZJ9y\nrUHAQQXnzAJl72JsVl2YHN0MxhYPr3w79n/x22i/sANc1i1SQ0bZerg6BBbVYFhRFURDZqEA3Nul\naA7DqzjbYE3i1TynNh6iVgWMGi8bTzhdDUZ8WH7MwO8p2Pb8WKDUMz82tJvvBaUMfoz6/wpnpdJg\nzEJ7hY0TcdXc1JJVjXXxyVyCCUM9NaypiJhz7ZBlz4Brg2zBfDy0zxtx+Oid0lHDuCoaAMloxx9/\nPDZv3ozf//736PHS7jB44b6fotU1H1K3IMsByGIAvOgHb/eTotH/MtBuwQwMwBQFsWVfLJNlTm5y\ng1ZKQObEkKXzpYqs8qo6KcuKjAiEy0ImEsHrioa1dYLhtiG2LKBdIRAACKaRoSRGaxSkLShpyjh1\nQxcwQjpJLYMSGTFdRy78NSvb4KpwLLftvsGFk9sYwCV92DgPSRnwxevCf0ipGH0kcgEg2KoWjJD5\n3dfXh9e97nXYb7/9cNttt02JSNuRkFaaJxYzYYXZI421icVMGmutGy+D3voMWKMJ1mxGikYXqRlB\n0WhSKo5Ly9GMejKRosFpRThYlypFQ2lvbXLF21HjPeVVDVvlsdhI3RhOzYitWJkAhLCQgrp6C+Gb\n1VZ9MCQ3oUeCcYXj1b78tK/apydT0qc8MuoSToqGUzd8Ez+vbsTBLa5u1K9E00IgNe8LyoZW6Nvr\nUCycJn0zdgUvffVjeHnzFkpF8kpGJsHdfCzUCsXEQgiqG5KxiuGTmKSb14hQR2RlFnqPgVd2dsN4\nTd1QPIfmwikaEspWNRrGd5CPGj36ou6KaHslzCWwudfoLYWC26B6AfVgATjTYZxYxWAhuYZkCjkr\nIJkbQ4ZqcLkuqzmfKsBU242nklSygtQyW5KaYYs2bFnCtNqwSiE/6OBJqWYA41ij4cEYw9VXX41n\nn30WF1xwwU6337DpGUjdxuAVeL8UUqkVvNEYTDL8AJaZIxlEOCyPvHCsEsjIr1pF4FZ8FFW8HRMo\neQOKN1CKHCXPoUASXWFzFDaDMiQ3Wz+QQTK04eT71CGVisgOdSDVYFYhUy26lAOQqgVR9IMXA+AF\n2cVYu0XF8K2Wuz8AVjgiUhYkuRnXfdx1II8vwc/IKn9jfPG1HH944tkRz83555+PrVu34uqrr57y\nJAMAHn4kTf4mCo/MsPc+jbWJw0wba/cNNMF3oXaOWQuhS2S6QKbbkKasJkVcIWMKkhtkXEMyHSb4\nUljfqLiapDHfYA/RanCdZIykZvjHBffGBYZSMZSarFmlpqa1ynBn3xI1f36cNBXXZjAX1+vWwxFT\nkM4lV9f2L6rvqPalvTXHBb4YkUPLzNl7ctgsh5qzAL97amYoZx6/b+6JfHY31Q3EagbnVc8Hvxjq\nWw4YDasVYDSY1q6Qxxc8185qJI0xVHWlUYpmfL/2TBONhY7GeyEQQIMxn0NVJxkVSaX71tUE+eAB\nbUV04VDOvhcaSNr4WGztNgfVG/t6XWbpPWGuEbT1iWY+hcoFG/nIW55lkPPm4r5y5EX7icS4pU7F\n6O3txZw5c3DxxRfjuOOOwwEHHDDstksPez2Kpx6CFjl1tTYKTJfgWlWt61VJA9m98cwlFNRJhq/R\ncDKcUzK8hUrLBizPQoQdnBTni6V9ggGDIxzCFfZYCQ0JAxnSBehDQMfPmEXGNAQUOKtSl/2XWxjA\n1udkcEjVpnqMsgVRtEjFMJq6Y8IGOxila/mCd3fh9BXKwmOxZaz6MIILf4Dh293C28roKJet/pth\nz8ttt92GD33oQ/jSl76Et7zlLa98MEwiHHzwwSkVaIJw5KqjJvoQxhVprE0cZtpY23f5G6D+tB5o\nt91CnPs99Ok9IqNwklAMrqs6Bhi4Pq+RysDCZJ2SDUlZoLqIahHQBAtJZ4So24/br/8JEhzIM6CZ\nWzRzQAp6TLqa2ExYCJ9TEhXj1n9J3V89qQj7txX58X57ZiBCvYZLb/QJVHBN/NwElZQMNxl0B28Z\np4lgZKshaw7dG5izGK8/5vjRPJWTHkvfcAzU+l9Sd2opnJLhFA0/P4trM6xBvWO9Mzmx6Lwyf81C\n77F4sg7Oq5Ae7+bwtqqIjHjbE2Pezm4gmUbGFdn8QAmjtaQzIBrRlaXKHxLc80IvDl+TEfbhajlc\nMqiAhuSuR5pVkFY5dcw7XGhuy126amDmnNNCsanSp3zHcAsLsWARDjz9f4/hmX11GHdFw+Pcc8/F\nsccei/e9733o6+sbcdv1W1vEbIO2Wq+tQJ6DNRrhgkjRsDIHsjysNPiYWSMzNyirgaxFBiVyaJFD\nyQY0l6Q8hHUMUHERz6AhIrJgwEASGovIRG0lhFkaWLpNEbWGVoyo0zjI5gSQgqHbRKQAV7Cek2wY\nKzMZrZpYmVfM3/gBGKdzGRfDZ6pu6j5JJEqdCr1B3BE/8PSLw56Pvr4+nH322TjuuONwzjnn7N6J\nn+R47E9/muhDmHF47E+PT/QhTAjSWBt/zNSxdpfctz7B6wA3JVk3VAGhS2pAq1vIdJsUDhSQrETO\nS+S8QM4VJFdoygJNWWBWVqA7V5Cciqw5pyJuwevKRvh/HMgk0GwAPV0We8yymNtjsEe3xqymQSMz\nyDOLTNIllwaZtGhIg65co5lpNDODTGhwTsoErSAzeBOLV1hoxdoX8vpIW19MriG4dkTKRs8dSs0w\njljw4AhQPKcQFxdnr/0cI+/C75+Z3klTw+HepW8EzzO36i5oYu+UjVCr4ecixlCPF6VCrxdoWkyG\n1mBGVQ4N1QYvW67w3hVOuwJqqQtwU9BCtNWI86c4NI1d1kIX70c378Ms0YdZ4mU0eauyyXVc4sf9\n7ajMGwCcYkH/h4EaWmZcRxcFyRQyTm0KJHeponB906xyvdTomnklw6gOjyFzRfFRbw3fwC9v4K58\nv3E5t68U416jEePRRx/F61//erz3ve/FV7/61RG33f672wDGIUtfozEA1u4nLyTQocmi6pPhV22k\nBFyvC1+74GEBaNmkaNqsSV8pUQ4zTcYF4GozQqxaLKiG7G53HdIGqOmeYJpSBkwBqUtwU1ZJVk4u\nY9ZEGcuGlBtjaNBFNij/AWWqoA+kUmBau9friqm4rDppiiwUjNdqUbh0r2VwvcaiZcOv+p177rn4\n5je/iQceeAAHHnjgbp3zqYDknx9fzCS/fCfSWBtfzOSxNvCD/0uTt2Y3bKMJ0+iCyZqwshEW7kJU\nKOMwIg8Lb5pLKOaurYSCrAJPXPO8ftVEX5mjv5AhfUprF0/romo5J2VCCiIiUliXJmXcqjLZpIxr\nqOfbBwpHEDiviEIQ6WMdhVl3XARSXSqDFCkxcd8MBEuNn0xy0Ep3SBQC2ZqFVbRfVjkdACJp0jh/\nvSnBdYEym4U9R/gNne7Y8eWPwLTaVcqUvxaiIhkxahGucU1tRs3rQpANLQzT4quzqYVmyWRD186S\nDqDDeoVonDOUvImS5yhtDmUFSpNB211fe/cpVH5xGUBtgTm+z51FKiSbGQVhS2S67Yh9ixSNsgWm\nSvCyhZgsMc9mNHWbD6lmZQE0u9F12od3+bgnAhMaE3TQQQfhC1/4As477zwce+yxOOOMM4bd9r4n\nnscR+y+iO6GugFPGskdMNlwGcdXaXYaCaHDn56xFvFZQnL54TegrwSJNA+DWwjIDLwhFHTcACHBQ\nooG1VY2HzyenvHIXmaeKEJnHjIZlDMwnR4HDihxgipKuvOrgVQru89foORYFERVDcRfMUnFceF8s\nA7Pu+XAfQGsoztd7Hx3uf3wLTlw29Hm47rrrcPnll+MrX/nKtCQZAPDQQxtxyCGvnejDmBF4aOPG\nGT35S2Nt/DDTx9qv1Xz8Jds66HGmS2f3qXvdAQvpu4WLnBJykIFxCwH6vbLON2TBq9mEBfpLGZqg\nWVjkzLUEEBYZNxDCIouazcIyaIvgr6ciXYT9V431fKM914aNGeeuib3zxhX3VqaqYKOKSIao9VOo\n+/draob7zaadccRTVwtA87z+hlrgvk3P4aRhfkNnAn7bewiO3LqhVqfBH8QpUwAAGoBJREFUGAuJ\nAJ3r20zrak4HZ8+Dm5vxaMLt/HvMGBhJyUxWZgCiug5uwOyAe2zwsWmZQ4sGOFMQvkCcMRpLtPdd\neIXVuKkrHRVxjbKn4JNHa4ECnWqGLl2dSokhSQbgOoa7hpDWwBqNX5kFmOytICdU0QBowL373e/G\nDTfcgDvvvBNHHHHEsNtu/93PyVZUDEAU/YCxobkQ7axeaRZ6ZfCIcPAo+iyaXBueBUXDM13qIBkV\nk3n/avyl5ntVwMeaVeSEIv4sMlZQdrIhRUPoMspNjmxSjFU1Itw1BQIDsyoQA+a/+I0GQpf0kgan\nV3dcC3vr0xu8qsE4rQL4poHMdYVlArEVbc+/WDXk+3/fffdh9erVOO2003DNNddMiwLw4ZBWmscH\nM3ni55HG2vggjTWgdcOXqQmaUzSqmHevZPgaQ/otMjJ3K8U5lMigeR7UfouKZFgwFKyBftON/rKB\nvjLHQCmhNIPgpFpkgpJ6pNCQjArJAV9Q6xQM13U8FNq6FCCyPCGyssSEoVpRNoO6llcLhVT8W3/O\nUBZnCodXbvVZQxiaGMYLkzYQDveeWet6XpVg1mLJYcPPY2YKdnzlo0QYnJoxCB3KRlU/RPMWlvka\n2soyH54qMyDLIlt5g2xFiFSM0PbAhudomZN7RTSgRA7Fcwr2sRkKm8HaOpEcCZ5g+Joe5gJsAdTG\nFABHLuo9WXzNsYzaFzBVgJdthGJ003E03tFSFmCqAIxBc+2HdvGIJw4T3viAMYZvfOMb2LhxI9au\nXYvf/va32HPPPYfc9pFWjkMyinW1IgPEEMw4IhtV0Td14jYuYSr65zs5tg5/pu+eGtWLWBiwqJM2\nrAUlavMg69JxRYqGrScbhOfGXbsjGLdi4p/HrCGCAepazt1zGBgVxhsLcAtmLCyvmD4tEbiaDQi3\nL1Jf6LUwPPGSwlDv/rPPPou1a9di2bJl+PrXvz6tSQYAbHvueSxcMFIHkYRXi+ee344DD5roo5h4\npLE29khjjfDAwiPwuhc2AAAtVkHXHAL+e90yXvnFXR2gtBac61DPh8g+ZBmHZAUgAGSA1/EV545g\nVDURkptgfQJsIBSkkFhSM5hfuKPjIYIR2ZucIkFpQt5g5VaYvX2ZMRi3P9qHrQhKZ/0Fs2GyWCMf\ntnqsmjZ6RJZjJlDyHBbAMy++jCVjc/qmFB46/GQc9oeb6z00TIfFPZq/WadqUFG4hi0RkQxWzTkY\nB9MK1igaw7JBPSeMrC822/r8yjAGxgWY0aRmMAHjLXLgEODkRNmF11ZTx8K4cQQYVCMSzxeZNRC2\nDGSDGU82yDbPvT1eK4xIMtxrgRCwVmDDghU4cheOd6Ix4YqGx5NPPolVq1bhwAMPxM9+9jM0Go0h\nt3vx3p9AlK36g9Hgij15FoiUjDrJ8F7LcBu8pmgoniHUSljj7EbGSajVlzHVc/DwFWf9akpkuZKs\nrNVneC8nMy49KzJf+QSFqhlNlZoQD1pmtMvvLsG0AteU282VAlQRYn9DlK9vbe9rNHwXdN8rhEuA\nMSw+bOWg97zdbuNNb3oTHnvsMdxzzz3Ye++9d/m8TmWkleaxRVphrpDG2tgijbUKAz/6f0DeCNZb\n3wDXclZbQQ7KuqDQESO8kuG3YfWaDibQynswwHvQb7rxQmsWCiOQuRhc39GbOiR3HpV1SoYznDg1\nwkRqRKxg1IlCHdV+fBoQxYt2FvXyjoVE7q0u3hLjLM7CKHqNQHjNsZrh5w8WDNwqHHjwa8bozE09\n9F15IdVeDOrW6G92qBqujoMJ2ZF7HC3CkheO0kV9KE7e5RI3O/+HDYqd5QIma0LnXTAiRympbwy1\nKshQ2hw6JId2ojrLANy4BHhEMMI4shrSKrJxuQVqssjr0MaAyIazTmlFyaLa12aMQDLi16dKdL31\nfSOfgEmCSUM0AOA3v/kNjjvuOPzt3/7tiKvmL977k5py0Vnwg0GqBgk3sV0qKh8LULKBMusKRW+W\nMRokcLal6EvNf9EEkuG+gKsvOQYLAQZq0CKsQqZbkI5ccEsRZsH7Gfbrk7B8pG71IaENHDs2ZJvi\nbn9MFS6hoQQvSyoa4jykFITOmr5xnyueslyGxoSLh7BMWWvxvve9D//6r/+KX/ziFzj66KNHPIfT\nDWkCODZIE7/BSGNtbJDG2mAM3HRlsE1VubW8Tjxcxqd1ISrhb5HFKrZcWcZRNmajlfVgB5+HF9pz\nUGhBJINTgbVwjfEAPxd0TvxI/fcRoT4eF0ClZgxDMOImayYiGbQfV7QdFXtzp2CgMj7XUqfiCaKw\nOopIrRYYfZ2nRUU8Dj7ogDE5X1MZL3/9U4OKv22sbESTaiYFWb+Bav4XEwj3GOPcRTRLsEYXbLML\nVmR0hjom5ZZxUgAYJytg1oDOuqA80RANslAhdy0K4oLwep0FUNX01ix5kXWKGw1pi5qDpSIZKvRL\nY753mlaAMeCayMYukQxYdJ1w1k7e+cmDS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HrppXjPe94z7lX9d95xOw5YMDt07KZu3QVU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\nD/UAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2c48310>"
]
},
{
"output_type": "display_data",
"png": 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Fte0ormurWnUNKSW+9KUv4ZlnnsHzzz+PbbcdnP8UfWGgVfepFVTJpfaQrRnI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eAAAB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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ad9f2c48fd0>"
]
}
],
"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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5552ZPXt2rwrDoUiItZ4Ji8DeJ8Raz4RY6326fvcTbOTy3I1KSq6FT4/yQiMX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\n355Zs2a5MxCDlBBrQ4eeYm0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