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Stereo Sound Autoencoder 1
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[name: \"/cpu:0\"\n",
"device_type: \"CPU\"\n",
"memory_limit: 268435456\n",
"locality {\n",
"}\n",
"incarnation: 4900060824862640659\n",
"]\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"# import os\n",
"# os.environ[\"CUDA_DEVICE_ORDER\"]=\"PCI_BUS_ID\" # see issue #152\n",
"# os.environ[\"CUDA_VISIBLE_DEVICES\"]=\"\"\n",
"\n",
"from tensorflow.python.client import device_lib\n",
"print(device_lib.list_local_devices())\n",
"\n",
"import struct\n",
"import numpy as np\n",
"from pydub import AudioSegment\n",
"from matplotlib import animation\n",
"import tensorflow as tf\n",
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Song duration: ~399.584s\n"
]
}
],
"source": [
"song = AudioSegment.from_mp3(\"song.mp3\")\n",
"print(\"Song duration: ~{:.3f}s\".format(song.duration_seconds))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Song data shape: (17621675, 2)\n"
]
}
],
"source": [
"def extract_data(segment):\n",
" channels = segment.split_to_mono()\n",
" columns = []\n",
" for channel in channels:\n",
" columns.append(struct.unpack(\"<%dh\" % (len(channel.raw_data) // 2), \n",
" channel.raw_data))\n",
" return np.column_stack(columns) / 32768.0\n",
"\n",
"data = extract_data(song)\n",
"print(\"Song data shape: {}\".format(data.shape))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# part.export(\"/Users/andrey/src/deep-music/attempt1/experiment.mp3\");"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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GlPrglfdtdd9m5hi23m6dSJQPXk75MuSrhLSVr9DKtr8/pXbay0m1RTs2Gg08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14ud4JDzFe72yNOcw62IyMWP9Suph2DtFOaj6q4e0GBlKRHtwjNTWuE48rUTxcBOKIqKj/uwNcI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\nog8IIaLAp4EXA3uBnwkh7pNSP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"text/plain": [
"<matplotlib.figure.Figure at 0x12d136898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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1Wl8zbVninNryBbDaGnVv1JUWkJ9jijQonQ6pWtP4AiH8wTCliZavknxG3Jm5\nVu595QRnNZTyxGdfh9kkeOHYiBoEhw6oKuOxWGpVEcLTMTtPF1wt56v+arOIimfxURMrvurVjfzw\ngFMJLXu3mv0Kodro+GavXMJvXuykrDCXr11/Fue2lvOTG9azvkVdN6dUrza/CwLj6ncGqiVLUQV4\nRujTqn03lhfGfaSuTL0ecCSxfg0fUU3hfQ64//3w/PdUMD/AwL5Z+xqnJRHx1aICxOvWRMVX5wvK\na9C8Cbp3ZGV3egu0ZJYvUPfLXLPIXp/aFOjiYUW+ltWoia+lNSWMoATgH5/eydKaEt66XsW/Xrik\nipc6RhlLV8jalaIIdyaYc+k1N7M6N3l86qr6UvJyTLNuFdRx+QKUTBJf6twcOk1dj9kQX41AbAR5\nj/ZeIm8XQuwVQjwghGhOsvz0QMpIEOixITejngnOa61QyzzDiJJq2oZcqeMEKpeAMMHQDAueuvoh\np1ANmkmYKFYX3Mqi6MBmMgmqSvIZzVAU6RwZcLHmq1v4y2uTL8TE6vY6VSX5OLyBKQOq++xe+h0+\n3rGhiWW1FtY1W9naNqIse94xqDs7/gO6ReJ0tH51b1eWlBVvUrEY47NX9NQ2PkEgJKmLmdXXlRZg\nyc+hbcgdHej0ekKFVpX5OAsMOX1sOTDAOzY0cdMFrdz/0QvYsKA8Eos4l8Uap0TPsI21KBdVwfgI\nvWNe8nJMVBXHW0r0Okj9ycRX5wvq8YZ7lcgN+lU2mTkPBvfPxjc4fXHH1FcDNTEY2K/OWdd2laXX\ndC70vZqVQHzd8qWXxknEbBI0Wgvpts2u+NKzkhvDfYCIxLgurCrGhrq/54yP8OU3rSRHq6V446YW\n/MEwv9nWmXrDrgE11qTLvk9DW7ieZpLfZ/NyTKxrsqqJ8hzg9gex5MePMY3lKtP4+GmaaTxXAfd/\nBVqllGcDfwd+m2wlIcTNQoidQoidw8Mz7Gc1Wzz4IeT/ns1vtnbwvl+/DMAly6M9uPLLagmEZOo0\n3NxCZVKfqcvB2aesXjGVh2Ppl0oQLsqPH1ArivOwjU9PfP3iuXY8EyEe3D1ZfCVWt9fRb2hTWb/0\noNE1Teomc+GSKvb22PF0a4G1dWviP2A5ncXXDtUiSS8WO4vWL90KE1vDSAjBoupiVZ9Hz7jV40EK\nymbN8vXU4SGCYck7z42fc5UV5lJVkjc/4mvXnXDH6ydboPVMWr2mHGiFLkfpsXtpKCuIZDrq6Od4\nwJkk6H56dyQdAAAgAElEQVRgvzq3y66Czx6Azx2ChRer38Dw0ZM69CGXb/6bP88G4zZVfV23DDZv\nUm76n25UnS1WvUUFi4cmstLlYtDpp6okL1IcOhnNFUX0zLL4GnT5yDObKHIeVy3ocpUltSDXTHWd\nClNZVDjOxUujImpZrYWrzqrlzhePp27z4+pXdcLMaRLAUuAPhmibqKAiMJgyOeyq1XUcHnDRMQcl\nJ5K5Hc0mQVNFIV0jp1DYwjTIhvjqBWLvqk3aexGklKNSSj0A6P+ADck2JKW8XUq5UUq5sbr65NT6\nrOK1w/4HEK4+bn9kK30OH286u576skII+MDvxFqlZsz7etPEz9StmXnWjqs/dbwX0D6hXDqNpvi4\ngIrivPSm6gSklLzYpmY3ycy7EctXkmxHmLrWlz6rbNUyai5cXElYQne7Vpm5MiEbRxdf7tNMfHlG\nYLQNWjYr6yfA6OyJryEt2aEmwaWyuLpETQxiXTyguR1nJ+Zra9sItaX5LK0pmbSsuaJo1t06k5AS\nnv0u9O6EF34Yvyw27kinqDJi+Up0OcIUlq+hQyrbTAhV/LioIrp9+/Tr/T24q4fzvvUUX3rwDHRZ\nem3KMqxPKJe+AXIKVBmU825WFmP993oS5y6RxBpfyVC/z2lksp7UcfiptuQjRo9B1ZK4ZeuWLWRC\nmnldQwhzguj/+GVLcPqC/H5HinPhGji5eC+gZ8zLCVlNjgxE3ZcJXLNGbfvRfcmXZxOT18bq8OFJ\nSSqtlcV0zbI4ni2yIb5eAZYKIRYKIfKAdwMPx64ghIh1Ol8PzE6TwdkmphnppdYhdv3XFdx6g5aV\no2Uvltc0UV6Uy0sdaVxKTeeq2kq6i+Nk0C1fKdg/Ci5ZSHUwvgjddC1f7cMehlx+Gq2FDLv8k4KK\n7dq2Ulm+hqbIAuu2jVOcZ6aiWIm39S3lFOaacfYehTxLdLDSOV0tXyeUlZTmTVp/tdxZtnwp0VuX\nIL6W1JbQ7/DhGzmuAu2LtArus+h23NU5xqaFlXH94XTqSguSx0rNJvZuVcYA4MBDEIgZXMc61YAf\n2yKsqBLGbfTavTRaJ4uvorwcygpzk38PZ180zjMWa4uqIj6NjMdwWPLDvytr2YO7e+h3zK4omHO8\nY1AYc73nl8AHtsD7H4drvq9EmS6KsyC+Bl2+lMH2Os3lRdg8E5Ein7PBkMtHjSVPtU1LmGx+7PKl\nhEubWF86OS7y7CYrFy+t4ldbO5Ine7gGTi7eC118addAirqK9WWFbFhQziN7pyG+Dv4Fhg5PvV4s\nO3/Nn/0f4lOdH4dn/yduUXN54axbJmeLGYsvKWUQ+ASwBSWq7pNSHhBCfF0Icb222qeEEAeEEHuA\nTwHvm+l+5wW97hRwda2dypL86ICi1dQylVSzeVElOzpGU6fQN29Sj/qAPF2kVBdWqgKrwK6uMbpy\nFpI3GG9hKy/KwzaNmK+XjivL2dvOUWF8iQNMqpgvfdCfKgX/hG2c5oqiyHnMyzFx7sIK5Finin1I\nHLALrGDOP/3EV+8uVZ2/fq1yA1QsVJaw2SDgZcDpQ4jJ8SxnNyr3rnuwQwkA/fzOUsD9gMPHgNPH\nuubksYm1pQUMOee436ReO+rS/wS/A16+Q70Oh+DwI1C7Ov53V1SB9I4x7PLRaJ2cdg/K+jXJ8iVl\nfMHWWKwtMOFWgiNDDvQ56bV7+fDFKgP4haNzE28zZ4zbJk+2GtbBgvOjr8uaAJEd8eX0pwy212mu\nUGL7xCwO8ENOP8uKXOr3kFB3qygvh4LqhYgUAugTly1hxD3BPS8nOR+u/pO2fA06fPRJbWKWxkhw\nzZp6Dg+4MuuF2fGsqqr/s00qji8Txm3Iv32eXeGlDBSvgJd+ropDA/Tupqk4hMsfZHxi9sTxbJGV\nmC8p5aNSymVSysVSym9p7/0/KeXD2vP/kFKeJaVcK6W8TEo5Tel7iqCJL7/MZVl+gmXLrcWoFVdz\n/uJKeu1eTqQqvFi3Rs2ue145ueMYt6laYSncjv0OLzs6RrFVnaMKZ/qjs6bKkjw8E6GMa6Ps6LBR\nW5rP5kWV2raTi6/EbMeqknxyzYJee3rx1Wv30pTgyrlgcSVlE0P4S5J8PyHUDeV0E199u1Wl6Txt\n8K5cOjvi66mvw3dbsfRt1f4H8Ze43hZHjnXF1//JL5mVDNI9WsPptWnEl8sfxDOLloVJ6PGW530Y\nFl+uzpl7GB75jLJ8rX13/PqF5QgZopRxGqwpMuPKkljwvGMqPinZABhxn2VeW+35Y+oe85FLFlNR\nnMfOrtlL2JgXvGNaaY80mHOVJdI9s7YywVCYEbd/kls+keZydb3OpvgadvtZnqMlGyQrempdkLIG\n36ZFlZzbWs7tz3fEFzwNTihvzElavgacPgal9r9I4XYE2LRQieW0YTY6234afT54ILMDaX8aIUN8\nP/Au9i+4SYVGDOyFzq1wx2W8c49qBD7nE7gsYFS4nw7OHjw55RyTjVSHEi5+vflpcRXna0JlW6oi\neDl5UL/u5C1fusskhdvxli1HkcDyi98B4aAy9WqUaz0Y9UD5dOjF/zYtrIzEtSQGFTu8AUwCLAm1\nYEwmQW1pQXrXiGuQCXufipmL4cLFVZQJNwOB5FYGLHWnV8yXlNC7GxrOib5XtUTV/QpnsUCgoxde\n+AEEfZw7cE9Sl0pZUS7Lay0UjvfFi6+8YiUUslx5/bUTdnJMItKAOpG6MnWM2e66kJaRNpU1W1QB\nV31bFfZ85f/g1T+ooO5zE2pAa66wMuFOaSlJavnSs/dSWb5gWhacPSfsLKwqpqokn1X1penrCZ6O\njNvi3Y6pKJncbHq6jLgnkDJ1jS8dPcav1z47Lt5wWOLwBmiRWph0YowrQOViJaRSZEe/9/xW+hw+\nXuqIie/V748nafkacPowF5apjPrYia5nFB76OOy9H4AlNSWYhFa+Jh22Dmh7Eta8Q73OVHz17iKc\nU8geuRhnreYx6noRtt8GQJmrjTpGMy9yfAphiK/p4BpgiApcBfWYnQlFUvWbQUkNS2pKqCrJZ3tH\nmiJ4TRtVDZuTGez0Gl9JLF+hsOTRff28/Zwmas+6RNXGiammXlGsLFS2DILuB52q+N+GBeWRjK7E\nAcY+HqC0MHdSBhhAg7WQ/jSWr/AvLuZpPkJD6eTKxeXCQ+d4ihvj6Wb5snUol15jTJ5J5VIldrLZ\np3LPH9Xj0qtY4X2VRos56WqXtORSEnYRKo2JRcrVuggEsmv92t01xsr6Ugpykx+LLmYG5zLuy9YR\nLbFRs1K1rNr6I5AhOP/jk13dmiusHHekaXwidaWFjLj98SVm0hW5PAnxtbfHwdlNynK5st7CkUEX\nwTMp69Frg6IpLF+gZZ/OTHxFCqxOEXBfWZxHQa6JvlkSXy5fECmhLtCjrsFkoST169Rj3+74993D\n8NvreEPePnJMghfaYib7U7Wfm4JBh4/askI1wY91O+67D177Pfz5Zhi3UZBrprWqeOpaffseBAS8\n/itK0GWa7T/WSaC0hTAmcq31qlLAkceUkGu5AICNpqMMzbSP8DxgiK9pIJ39dAVKEWXN6qYZG9Pl\nGVYBzHnFCCHYvKiCnZ1p4jkaNyjX4cnU+vFoVrfYoGCNrlEP3kCI9S1WNYg0bVR1cTR0y1cm4ktP\nIV5SUxIJKk4UU6qvY26yj9NQVhApTDmJUACTR1kG1oTi8y/MIT+F+Dnuzkv2SWW1cA1OefynDHqM\nUe3q6HsVWuX+mRbbjeXgX6DpPDj7nRQwwVl5yV0zl1QpF0GniLnR6y2cJrLnXhmfCLK7e4zzF1em\nXEePDZxTy1es+AJoPk9di6bc5C1XNGtMuXCnrAmlW4bjZuARy1cS8VVohfyyjMXXoFPFzp2tlWRZ\nXF3CRDCcPMPydCTghaAvM8tXcXX2xNcUbkchBA3WwlmzfI137aIcJ1W+bmXhSlY6qGEdIJT1XEdK\n+Ntn4fjz5D/+eVbWl7LnREzMZqTA6knGfLl8asJtaYh3Ox59XNt/GHb8HFAdH3qmygg9+rga86zN\n0WSTTBjrxFuiJiolBTnQeqGyfIUm4PX/jRQmlplOGOLrTCfk7Kc/ZKWgulVZCGKDZWP7waFaufTa\nvaljWRZcqAKwDz2cfHk6xpVF7ZYXRyaZW3VXxCqt/QMN69UPXTNZV5Zo4iuDjMd2rf6S3pYomWvF\n7p3c11Gn3lrIoNOXvDp+zMynnoQbqXZe2z15yRu3WmpVoHQWhcKsoveiq4wZ8PUZabYseLbjqmL6\nquuZqFwOwDKR/Aa3Nl+JgpedMaIoIr6yZ/l6qcNGICR53dLUZWMilq+5itmY8CiXjC5+AVZpDTnq\nVkNOEnGlWb4qhCuSlZtIvRYLFjdIR6wPSdyOoAahDMWXPrCua1aWr2atxdGcl+mYLXSX2lQxX6CJ\nr5klGwy69Or26d2OAI3WQnpno9xE51bq772Kn+X+hNLxztRNrgvK1DJdfEmp4hQP/VVN+B3dbKzP\nZV+PI5rkNUPL14BDa01mqYuKL58TOl+ECz8NK6+Dl34BXrs6P+nEacCrDACLLlGvSxsyy/SXEsY6\ncReqWmelBTmw/j1qWXGN6hRiXcAiMYjNY4ivM5dQEPP4MENYsdRpg2jsjdPZq5oUayypUa1cUhZb\ntdTC0itVo+XQNIONx0cJmvK4dWs/n7r71bhFh/qdmE2CJXpNpYr4Y9UtX5nU+uoc8VCQa4pYJ+rK\nCpLGfJUVJR+QGsoKCIQkI+4kF8ZotGxHZTjhRqqJr9FQUfJWSPoN5XSJ+7J1qEEldmCJiK8s1cg5\n9oR6XHkdg7nNBKSZlmByl2aJu5MgZraNqd/o9vZR/nZEi9mYyF7BxOePDVOQa4q230pESoo7Hue8\n/O65i9nQLY2xlq8V18KFn4F/+nXyz2jWmIZ876RaSzp6tf62oZjz5x5U/QnzLcm3m0x8SalqBiZw\nsN+JENGWKnqSypQWh0zY/Tt44IOzVmokI7ya+ErMdkxGcRX4nUnPU6YMOX2YTYLKFG7kWKYUFyeL\nZkU633yQIk9P1L2YjIZzVMa0lPD8LbD1h7Dh/fDmWwHYUOrA5Q9Gj9PVryy5RamtzqkIhMKMerRM\n0NJ6FeYiJXQ8o+Ijl70RNn9c/Q+OP0djeSH28UBqQ8PAfuXS12NeSxszE1/uIQiMYy9QmfaWglxl\npX7Pn+Fj20EIROVilpgHMvLknGoY4itTPEMIJIOygpombYYSazp19ESbZkNE/OitI5Ky/j1KQBx/\nbprHMorLVAYIXjpu4xN/3M2bb3uRQaePQ/1OFlcXR2NsyhqjxwdYi/IQIjO3Y59W10gvA1FfVji5\n1MT4RGrLlxZI35fMNaLFOvllDpaJ5JYvOyUc1c5f54gnWrBVD2A+XeK+Et1coLIeC8qi8XszpX+v\nmg2WtzLoCTNIORWhFK6ZkaOM5Dawv38c70SIG+7YwV27tfjELFq+trePcm5rRcp4LzqegXv/mR+b\nfjR3tb50K2Ts/8OcC1d+bfL/SKfQShhBfW7qAbjRWoglPye+ya8rRZkJHWuL6jQgpfp76Zfw47Xw\n7Xq4663K0qDRNuSmqbyQwjx1LhushZgEM69x5LXDw5+E/Q/AbtV45NigK9rcfq6IWL4yEV+ah2EG\nrscBh4+qkryUYjqWRmshI+40jdNP+iD24cuvir5e8vrU67ZepMJN7nsPPPNNWHsDvOmHkYLNK7UQ\ng8jvz9GrJnim6Q/xQy6/ikPT3Y4hv7onH92iStI0nadciDmF0LWdJi0jNKVAHdirHuu1VnGlDera\nmKpFlDZRGslVE9USPalr8eVKgANULmEB/YwabsczGM1C4c2vjlq+9Bt5OKSUfFm0peWCyiJyTIK2\ndK0XFl2qXI96w+VMGR9lVFpo0VwPj+ztZ88JO999/DB7ex1RlyOodhUQacdhNgnKi/IYzcBM2+fw\n0RBTVLK+rIAR90Rcv8a0MV/aZ5MGq4514TGX0SWaMLsSZkGa+HLIEo4NujhhG+fSW57lI3ftVMuz\n7bKbbZKJL5gcTzETBvdD7VmAip/qlxVYJlKk44+24bEs4viIh+eOqnXGpWYByJL4cngDHBl0sXFB\nmsG080UA6uUgTnua5JQZMODwxdcAioivhck/kAyTGY8opiYntdARQrCi3sL+vpiUe/dg+pgbazNM\nuLjy2w/xt/t+CY99UVkqNn9M1UTa+qPIqm1DbpZURzsE5JpN1JcVzrz6+omXos87XyQQCnPlj57n\nnb/cPqvlP7a3j/LEgYGom2xalq9oO7eTpds2Hrl/ToWe8dgx7OEbjxzkvp1p4pX696gG6o4M2h8N\nHqSn6iL+deLTOK/4PtSsSr3uijepPo2H/gpnvQ2uv1UJq3L1O25EhRIc1sWXvSu+RdY0iLQm092O\noCbvRx9X3hpzjsrYr1sDA/sihYdTumZH25R7VPcMlTYAMhoTmQpNfA2Z1f0+sb0QAJVLKMRH6HSK\nAdYwxFemaP/cgvIGdYMoa4m2CHL1K7NqjOUr12xiYVVxxA0RCku2HBiIv6Hll6gfcPeO6R3L+Cgj\noWJet6yK339wE3/40CZuOn8Bf9rdy7DLz0WxMTZFlVqLjugNo7I4L6Pm2v12bySQGKI97Aa16ul6\nmnQqy5deEymp+LJ3M2SuwZWbpGaPJr4Kyyo5Muji8f1KZO3utqsYsJOtcj90GO56Gxx9YnqfmwlB\nv7pxJRVfddkRX1LCyFGVuYdW2FRWUOBNcn5CQRhtx1yt+kv++sVOzCZBfrEm2LOU7Xiwz4mUqMSP\nVMQkgtQ7Xk293kniGA9w2S3Pcv53no5ed2NdavZeUDatbdmxUGVK75Ld2FrBvh5HVOw5TigXSyq0\njMc8dy+BQ48jC6zwoSfhqm+pHqCdWwF17+gY8URDCTSaygvpmWnMV88ragK4+u3Q8wp7uqNxrM8c\nOYlaWl3bYOev02Zxj7r93HDHDm6+axdPHtL2Md2YL5hR3FfX6DgLKoszWlcXF9/bcphfbT3OA3+6\nj8D225Nbbh78EBz4E/z9v9NvNOADzxCjuXU8Ft5E3qYPpuzTC6gx54N/h+t+Am//VbRfY0Ep5JdS\nMD5Io7Uwavka6zxp8RWXjKBvY8/dKtZ4xZuiK1YsgrHjMS7wFL/F0TaVpahb4fRrYirXoya++kU1\nQkBxXjLxtRgAi6dzqq91ymGIr0zRBsnSWi1FvFHzwYMa+GBSjZYlNSW0a+LrV1s7+Mhdu/jcfQk9\nHVvOh56dU5tgY5CeEYZCJdRYCrhoaRUXLqni5ksWU1aYS2VxHpeviMmCFEL92GNmYpUlecnjsGKY\nCIYZdvvjanBFe9gpMeWeCBKWk6vb65QV5lKYa06ekWXvokfWMJFXHkkgiKCJr9qaeo4NutkdMyC0\nD7vVDdqcN/2Yr0c/D+1Pwa7fTO9zM8HerTKDkokv3fw+U7xjEBiPWDmHXH6GRSUmV//k9jX2LggH\nKF+grGQvH7dxdlMZixq030yWLF/dNrUdPRZqElIq8bXmnQRFHqv8ryVPrpgBTx0exBsI4fAGuFuv\nAO7qTy+IUmALF2MV6cXX+YsqCYYl29tHY6zhTak/oImvJjHM+vAB7DWbwKS5aBvWK3dNKEDP2DgT\nwTCLqxPFV1HqQs6ZMnRIDWCNG8Fr4+jxzsiio+lCJpIx4YE/vhse+Sw8/72Uq/0tphdg5P8SsXxl\nEKOku5xO0vLlnQgx4PRF+slOxaqGUoSAbUeUWLg99wfkbvnC5HCRocPRsaBza/rWUZonYlBUUZhr\nTu2aj6VpI2y4abIr0VIPrj6W11mU+JoYV1al8taMvl8iEctXWYGyxplyYMfP1D13yRXRFSsWgrOP\n6gJJntlEjzbJ3t/r4NuPHoq6aUfb4pONdA/RVM3RxzrB0sDYhJmSvJyk5Yx0t2uFt/Mkvun8Yoiv\nDPGM9hCSgjqtyzyNG9RA5hmBYe2Cq14e95lF1cV028YJhML8+VV14T55aCg+3qplEwS98IMV8Ni/\nR2Kz0iHHRxmVpXFp743WQp783CU884VLJ2dklTXGbbeyJH9Ky9eg04eUxFX0jhZaVRen3aMEY5zl\nKxSMVNQXQlBvTVJoNRwGezddoWoC+SnElymHlvoaOkbcvHzcFrlRdo2OK0FZMs1aX50vQucL6nnX\nNnUMc0H/HvVYvWLyMr1e2UwLrepWTW2gH3D4GM+vQQS9k5tla/0kS5tWRX4n5y+qpK5aDWhhf3YC\n7rtt4+SYRJzlNA57lxpwWzYzXL6O88WBKScE02Vvj4OS/BzWNJbx8B5tlj1FT9RkePxBRsMlWMLp\nC0luXlRJaUEOD73Wp/1fg8n7OmpMlKhlN7TYWWAaYncwxhVae5YqvWDvjljPEy1fzRWFDLp8cWEA\n08ZxQlVQ1+5d9q491FjyWVBZFJk4ZkzbkyoLObdIJRKlEB87OkZptBbyns0L2NExqmqjjdtUckKy\nbNNE9KxyTxLLXAZ1Ew9pBUETxWwqLAW5fMHyJAfz388d5/ZjFdoEZTChVpWeuX7Jvyvxk66GnyY8\n+sKVKT0HGaMFxW9sLefIoIsv336fer9q2UltbtDpIy/HRHlRLuQWRrez5Ir45JHyVkBicnRTby2g\nd8yLlJJ3/nI7tz/fwf07tXhGR298QWe9llkmlq/yVtz+YHKXI0BZM76cUpYG2wicZjXvDPGVIfbB\nbkYoY3WLNjPTC2b27oaRI8qVURyfUr+oqoRgWLK3x8GhfidXr64jFJb8/WCMaFhyhbKYTXjglV/B\n7ZelFxWhACa/gzFpoTohU6fakk9pQZILuaw5TnxVl+QzPMVAp1urYi1fjdYiTCKa0aVvo0oXgd4x\n1bfruwuhW8WSNJQVTm4x5B6E0ARtgQrCRZUqwy42c0lrM7K8rpRASDLqmeDN69RsKdLmY7qFVp//\nvvr/XPUdVfA0sUhutgn44E8fgQc/qAaV2BpfOpZ65a6eYdp85H+riy+nj3BRirgYbWYuqpbyhauW\ns7K+lJsuaKWmQrl7xt0ZtAnJgG6blwZrITnmFLeYLi3OsXEDnoYLWWXqYnggw9o/GdIzNk5TeSHX\nra1nb49DZc66BqZd+2jE7WeMEopC6cVXXo6Jd5/XwiN7+2g7pg3MZS0p1+/05OCUhawf3wbA34ar\nozFQukB0D3JcK/mSzPIlJWkLGU+JvVsNjJrLOtd2jEXVxSypLkmdqZ2Knp3KOnLF19T1laJx/K6u\nMc5bWMHmRZWMT4RUgc5kfR1TkVesgr0TrxtnP9yyFO67Ke3Hd2jFr89dmLA/W4dKevBPLhj6gfyn\nyBFhrjj29eibQ1p9woBXib6DD6u+vUuvUu+nq+KuXbMnwpUpPQcZo8WO3nheC4uqijH1ay782I4a\n02DAqRqOR/oWv/E7yg1+xdfiV4yJJ9YzQtuG3IxPqMnA4wcGtBZbCa3wCqxKoGcovly+gMp0TIYQ\njFpXs87UllEG/6mEIb4yxDfWx5C0xtTPWqfMsV0vqptM1bJJPnu9PpZuWv/ARQtpqSji0X0xoiHf\nAh95Dr5wDD78lJrNvXpX6gPRYiNsWFIWfJxEaaNy0WmuzcriPFy+YNrsHd1aFQm4P/IYhUEHy2ot\n7OlRA7SefRgRgTt/rUzM4QDsfxCA1qoiOobd8U3Gx1SPzM5QFaZiTcx6Y7KrNPF14ZJoJtBVZ9VR\nnGemOyK+ajMXX167yqzb8P5oEU3dWjlb7P4t7L1HPV93YzRGIxZ9BpiYcDBddJeyJr6GnD5MFs06\nkBhPN3JUidCiCm44r4XHPn0xtaUF1FWU4pc5uF3ZEV/9dm/KPoiAshKUNkLd2cgV1xKWgqKdv8jK\nvnVO2Lw0lRdxzRolZP6254S6vlL0RE3FiHsCu7SQH5j63Hzy8iVUleTz0tan1BuaqEnG0SE3R2Uz\nZc6jSEw87Wpir3ZtRQqzugboGfNSnGeeNEjPuNyE36WuNWuzmgjkl1Huaae5vIgFlcV0jY7HX7dT\n0btbxbC2aG1gklQxt49PMOj0s7Lewop6ZUU5POBS1u/plEUorppsMd9xm5pYHXwoZS/EiWCYe14+\nwdlNZZO7Ffz1Myrp4elvxr8fnKDAo64x4XMQJIf9Oath9Jhqt3PbefDNahjcByuvj3pA0lVx167Z\nzoA1O5Yv1wDWAjNPf/5Sri05is1Ukd7lnYYBhy9SXghQiWEf3ALVCZa0GAuWXgvt+WNKEF+2vJo9\nJxyE9HtT7IRHCK3WVxq3o9eu7ouVi3D5gqrAagrGq9exTPRgs2fepP5UwBBfGvt7HdhTFB4NhyUh\nRz+BolqK9XTXvGI1G2h/CoaPTP5hAstqLZgEPLCrh4JcE2ubrFy9po4X20ZwxPZWzCtWIqx+rYoB\nO5im8Kp2w7FJCzUZFAgE1EUow5G4tZZYF14K+rTZdIO1QM0I7343/PIS1rdYebV7LNKYFojexLq2\nQe0alQrcpTLZltdacPmC8UU0tYrvbbKRHEuS4FlNfFVb8vn8G5bxn9esYFVDKc0VRdGgTku9EpRj\nnfDXT8OJNE3K9di8BRdEb4wjR9KdsZPD3g13XgtbvqyayLacD//PBtd8P/n6JSeZOJCI4wSY86Go\nCiklg04/uaVaiYNE14w+UUigvqwQL/n4PFP0aMuQUc9EylY8OPtU2vrqt4PJhHXBGh4KX0hL210z\nbpisI6WMWL6ayotY32Jl+55D6jqYpttx1O1nTJaQE/RM6dayFORy/doGKm27kGXNcRnQiRwddPNw\n6EIAQs2bcZtKlbUA4pJK+uzKiigSJndTBjpPhV2zNFpbQAjCVctoCnbTXFFEa1UR3kAoWt5lKsIh\nFcPXuFEFV0PSxvF6HNmyWgutlcXk55g4MuBU97VMykzoFFXG3zOCE7D3vmjcbcez7O2xT8pMvPeV\nbrpt43z2yoRrIOCNJj69fIey4unY2pULee0NABwr3Ux7sEoJqEMPR2u15RTC6repRCrrgqhlLBmO\nExiSFmMAACAASURBVFBUxYhXzFx8RSzowzBuY+PEy/wluJmTjaAcdPqmrPwf2S+As5+m8iKGXH6e\nOjTIoqpirj27Abc/yMAJLbs4sW3SVIVW9b7HzZvSux2BUP0GzEIS6N419TGfQhjiC/Vju/anW/nY\nH3YnXf7EwUHKw6NU1iVkjyy5XFUV9wwlHdCK83NYXqcsZRcuriIvx8Qbz6ojGJa80JYiWHTh61TZ\nAF+KQVATX2NYqCyehviCyGxLd190pHErnBgbp7wol6K8HGh/Wvt8NxctKsXlC7Knxx4RX5EYs7FO\nFVhZe5ZmAQuztFbNbg/1x3yfocOEcorplZUUlNbEfS8gIr4APnH5Um5+nbqZN1cURS1fJbUqnunv\nX4Fdd8al5U+idxcgVJJEcZW6cQ/Pgvj6+1dUXNn2W9XN9eJ/iwZQJ+GVUe28zVh89ahB3mTCMxHC\nGwhRUK67rZJYvpJU0m6wFuChgInx7MR8jbj9qcVX21NqsFh3I6Assb8Mv4WcsB9e+2NW9m8fD+CZ\nCEUqwb9lXSOuIW2QnKbla9QzgR3N5eedenb9ukbBZeJVhmpfl3a9Y4MuXii7Dt71e3Le+jPWNVuj\nzZELy5WgdvXTa/dGyh3EUldagNkkTt7ypYsGzTXqKlvOStFFc3lBpAxDV6Z1xIaPqEzZxg1KfFga\nkoqvI1oPwOV1FswmwdLaEmX58tqmZ/kqqlTNpnWe+64KZ7j6f6CokonOHVx/64t88YG9PHEgen09\ntn+AFXUWLl2W0HVhYL9yj133E3Ut3fXWqHjSLVjnfxw++iIvrP8BncFypHtATTKLquATu+ATr0RF\nRs2q9OLL2QtlTWmzxTMmNoZq3wOYZZB7A69jJIOM9kSklAw4EyxfqcgtUP8HZ29kIrCtfZTXLauO\nWDWH+zULZGKl/akKrR56WP3+Gzfi8gVTux2BvGYVAiQG9019zKcQhvgCHnpViZJt7aOTMq6klNz+\nzGGqhZOmloSMtcUxRfFaL0667X/e1IJJwI2b1A3urIYy8swm9vWmcGEsuEDNznf/Fm7brGLA7DGz\nNy2GJ5hfTl5Ohv++iPhScQZ6Blq6bKbjwx4W6TEmetA48LoqH0LAC8dGGHH7KSvMVccRDqmbeXmr\nmvkGfeDsZW2TlcJcM08djqnDMrgfd+kSJCaKypOJL3vSlPOWCpXdJaWMfqeDD6lH7Qb59OFBOkcS\nMvZ6XlEB73p5garl0aykbBHwKmvOOe+F8z8BF31W1cRJweP7B7jh7g7CUhBwzLDchLM3ksE3olkq\nSsprVF2gWPHlc6pBrnxyjauywly8FGQl4N4fDOHyBalM0YqHvlchv1T9HwCTSeC2LKajcI1yuU/H\n1RW3Yzc8+GF4/D+QD32Mt5peiAwKbz2nkZZcrYL7NGO+Rt1+7FIXX1MXH13rfYl8EeCVyuvSrnds\nyM2SujLVqqViIetbrOzvc6oAdCGUa909qMSXdbL4yjGbqC8rOHnLlyPG8gX0l6yiTIyzJGcoUoZh\n0rWUCr1eWNNG9VixSLW8SuDogAtLQU5kcF9eW6oy9ManKb6Kq5TLD9Sk8oVblCV18euh6Vz8ndH6\nZY9ppWpCYcmeE3bOba2YZEWMWMJbL4L3P6YmTVu+rN4bOqTKcVQuhbrVNFWV0S8rETKsmjw3bYSq\nJfHJFTUr1T0mlaXUocTX2PgE5amuk0yJ7ZbR9iQey0IOy5aTqsrv9AbxBcKRskJTUqrizTYsiN6v\nL15axZKaEswmgWdY+40lXnPa55ImG/XsUpOwDTdBXpEW85Xa8lVR04BH5iPt2Y0ZnW0M8QW82h1t\nq5FYKG57+yh9vWqGaC5LUO/1a5WPv3ZNytYQ/7J5AYe/cTWvX6ncQHk5JpbXWdifSny1XKACtJ/4\nLxUbNXQQHnh/dEBK16w3FZG6Kkp8FefnsLapjD+92sOr3cln8sdHPNEyATEtUCzeHs5qKGV7+yhd\nozGFCl39qtmpdUG0rIKtncI8M5etqGbLgUElbEMB6N3NYKkKQLeUa+6xOPFlSyq+mssL8QZCakYX\nm/K89gYYO86zezv4wJ07efvPt6kBDNR569kJTRui61cvUzP1kx3kk9G7S838l1+j6jRd8dWUq04E\nw3z70UMEycGGhb4TkwepaWE/ERGjujWy0lKoZuSxbkd9ppkkFkQIgd9UmJVSE3o2b8rWLX271bUT\nkzJfX1bAlvw3KGtJuqLDr92tBNZAklnuC7fAvvtgx8+oOHY/P8r7OSvGlTW7tCCXK5rUb2K8YHJD\n+nSMuCfw52nCfXxq8VU2uAObtPDSeGoLWzgs6baNx5XiWN1YxkQwTMeIJoAt9YQcfdjHA3HFjmNR\ntb5O1vLVpawLWqLQsRxlvW/xHqLRWojZJKKW5qk48ZL6venXfvmCpH0rjwy6WF5riYifFXUWxlwe\n1aom04B7UPvSLV/HtqjHS/5didamjVhc7TTk+3nTmnq2tav1jg668EyEOGdBktpzI0dVsoB1gbo+\nzv+4CikZbY+W48hVgqSloog+qQnFCXekuHEcNauUq9LWPnlZOARjxwmUtuAPhmcecK9bvhw90PMy\nEw0q5i5pfcUpGMiw4XgEi4rdaq0qZnVjKY3WQi5cUkV+jpmFVcUEHb1arcmEe0Fpgzo/ycIMtv5Q\n/RYu/y8AZfnKTy2+yory6KOGHOc/oPgSQrxRCHFECNEmhPhSkuX5Qoh7teUvCSFas7HfbCClZG+P\nPZIS3z4SP/P/+XPtLC/WBqREwSMEvOsu+Mjzads4JFqoFlcX0zmS4qaWkwev+7z6wd54H1xzi7Lc\ntGkBvK4BAuSQX5q6WfEk8ktUS46990VKD3zuDcsZcfl528+38XSsVQpw+QIMOH3x4qt5s/a8k/MX\nVfJqt539vY5o+rsef1FSEyl8p1cTv3p1PcMuPx0v3ANb/hOCXjqL1gBQXlULiKj4Ck6oG1oyy1dl\nTDPh4ip46y9Vn6/FlwOwY4/KLhr1TPDc0eHoMXht0HRudEP1a9V7SdwisTi8AQ70ZRiA3q+10GhY\nP+Wqzx0dpts2zi/+ZQMjohz36AwyL30OFZiquRLj4vBKasAd497WA1wT4y80guYiTFkosqqXMdGb\nuMfvxK9cPAnnqbasgIcD50GeBV77w+TPnXgF7ng9PPRRJbDuemu8UAyHYc89qu/cf/Twq4u30hGu\no3nrl5RFDNhQ7iUgzTzXMz3RPeqZQBZqg21ikHcSRP9eOvJXcmQotXAZdPmYCIbjqqy3atamSCxm\nSS0hzSralMTtCCoDebriy+MPsuXAAEFbt7LWaPeu/YF6PDKf0tG95OWYaLAW0JkmLjSO7h3Qsjma\ndGRdoCZkwWjMmAyH6BiwsawuWq5gaW0JVrR77nTEV3Glqm03Ma6uvQJrNPRDu9avKO1hfYuVQaef\nYZc/Msk+pyVJIdeRY8piryfGrPsXZe3a/VslvmJKxTSXF3EkHGPlqk6SVFGjrZ8s6N7WAUEfbquy\n/Jan6I2bMSW1asJ+5FHwjpG/UN2rT0Z89drV/zttskwspQ2RFmn3feR8nv/iZZGaZSvqLOR4BpO7\n+fVq94muR79LVdI/+11QUIY/GMIfDKe1fAkhGMv9/+29d3hc5Z3+/XlmRqPRjDSj3psly90Y23IF\njCmmtxBCS4AUlmVJlpBs+qZsNsmmvPllkyUkG5JAekIWQiC0hGI62BjbuHer9z6jUZ/n/eM5Z/pI\noy7b53NdviSfGWmO5sw55/t8y33n4Oib5ODSDDPp4EsIYQYeAC4HlgC3CCHCfRI+BnRKKecD/w18\nd7KvO1Ucb+2lobufm9eo1PuJ1sAFfW9dN68dbeOWxdrKJFa5Ypz+WTkuGy3u/piTRNvyb6dy8EE+\n824q3fPfpxpR9QlITzPtpJIbYyUck7NuVBeCB9bDgIfzF2Tx1pcuojjdzk9fDl2d7atX/VlL853q\nptZdp/qlALwdbCjPYHDER6d3KBB89WvZw6Q0dbJZbH7z7PMqMrnE9A4VW++G7Q9CUhq7bOuwJZiw\n2xLVz+g3teDfE0aR5iHml5tYcbMKvLRyxcmaai5ZkkOaPYFn92mlPL1xNjj40oI1fy9bEFJK3P1q\nGOIbTx3gyv95naf3xFEWbHxPBbhxlLTere4kwSzYvDCLoaRsdYGaKLrWUI4KZlu1wCcrRctoBGe+\ndDX9GMGXz5KEeWSSiumoYAUgM1rw1XJATcOGBV+5ThtVPSDLL4DjL0dmJZ+6D+p3wMIr4abfq/L7\niZcDjzfvVX/fkmshMYX97SP8V8InMHXXwItqRD5PttBAJtuqxmcg3e4ZYCRZby4eQxjS54OOE/Q5\n53G02R3zHNcDrODgq0RbXNToAU9KHibtsxGt7AgqKGt298ftO+jzST76q3f459++S2vd0RD9pZrO\nAY5byhENKltYku6gJpqxfTieFpWlL1oX2JZaDMiQlomhh67iNd+HWeUM9H+WZyWTJjRph7Cy4566\nLjZ9byu/fD1KZtiuTUJ721X5NK0kEPjlr8KHYE3CcZbkq57bg4097KzpJMNhjW4rFN4L6cyDikuU\n6XjH8RDrH5c9gT5b0OJXL7UGk1Ghgje972t4QF2LdHFhoCNZvV7aZDNfQqhBIu18SCo/B6vFFP+w\nRBA1/s9lfOr/OAtUBnJ4ALvVEuKVuSg3BddwG8PRqjT+PrWw86lmm8qIaZUNPYuePkZ/szcpF9fQ\nqWUxNBWZr7XAMSnlCSnlIPAn4Nqw51wL/Fr7/lHgIhFRdJ8dHtupsg7vX12AKykhpAn9D9urcVjN\nbM7XLmzhTYMTJNdpY2hExjS3/tYzB2nzDPCXnXV86akjahVw6GnwtDDS00iTzxVbOTwWm7+oGsDd\nDUp2AVWKubGyiHeqOtlb180j79TQ3TfkL4kuK3Cpm/fIoConJNihr4u18wIXyYsWayWcPu2GZksN\neI5pma9Uu5VPJj1LqyVXZatu/T+a+02BgQF7RiD40huaowRfheHBl4520Za9bWxakMWG8gy2ndDK\nQ1Wvql6vYJHTtFK18gr2tdP48UvHWP4f/+C3b1X5G3VfPRJjOALUqu8HS5WsRMmG2M8LYk9dF4vz\nnNgSzJidebhGOvwB37jR+/G00kd78BBEROZLWxnG+BxLqwPrVARf/n2IcsHULYUKQjWI8lw2+oZG\n6C88V5XHO4NuuL3t0LyPX9s/TMuVD6mbojUlkA0GOKGpjWuB9b76bnxF62GdFvC/9wim7hq6E/Nj\n91vG/HsGsaZkQoIjaiktBHcjDPdhypxPp3coZtOzXs4rCVJZT7VbcSUlUK25A5CSi2XITRL9McuO\nFTnJSBnQ3huN3oFhvvn0QbZpptmJnno1kalR2+mlxV6hlNqlpCTDHl/Dvf7el2wMbNNtabqq1Nf2\n41jr3iRJDLLGHVj0FKQmkWvRM1+hwdfPXjlBTYeX+186Gmgj0NFV7r1tWtk98Hf4rCkclYUsHjns\nlwY60NjDrppOVhanRvZ7DQ+q/rTwoakl1wauR2GSIUXpDv6ecj2s+5foPqEJNqW+rpfHH/0o/OIi\nJcHz2g8grZRmmyrRpk428wWB7Js1BZFZQXZKIi0TCb46+rBbzdEXTtHQJ4ejNM8vzHWSIzroNEfp\n5fO3woQHX2+qoLVoLTBGFj0IszOHFJ8HT98kNO9mmKkIvgqA4GJrnbYt6nOklMNANxBxRIQQdwkh\ndgghdrS2Ttw0NV6ONLv5+asneN/KAgrT7JRlOfyZr+ERH3/f38xFi3Ow9beq5mX9hJ8kerOpXl8P\nprG7jz113XzusoXcvLaYrYdaGFr1ESRQ+/AdDDYdpkFmhFy04yIxGTZ/CRJdcDTgbXi+NvVz9Y9f\n5/OP7eWDv3ibt0+0U5iWpEpXfgHPIhVY9SvV8L/ft4lf3F7JIm2aM5Cx0vopMsoDTe1tR1k6cojf\n+y5V2aqiNXT0DgamJB2ZgSBhlOAryWomKyWR6nYvVW29/pu8flzShZtz5meytjSd+q4+mrr64PhW\npVMTPnVYuDogQRHE03sbWS0Ok/fMh5k3oCQx9ox2sz7ybECwdeEVsZ8XRENXn3/17cgsIJNuDtRN\nUKOm+g2VZdAkDdo8A6TZE0gwmwKZLz370lOvMgYxVMSFNRmrb/IXL/8FMwllNfPm/YEH63eqY5sa\nOjmsN/g2uZYHnqfReliJkD7bVciPtx5Tpfn8s0O8IWnYpab2UnLp8g5yrMXD8gIXXPIN1Y/58reh\nQ/XZHGjowTcOK6M2zwAZKZrPXQz9KD/agsNVoEpKR5ojBTtBZRjMJhERVBWkJvllXvQgOd/UFbMH\nZ5FWwvN7+o3CJ/+0m4feOMmNlYX819XlpNNNlzUQiNd29NHvLINBN3haKMmw0+UdCpXFicbBJ1Tp\nK1jUUz++erCqDcZ0ymQKugPnnckkWOjUvDA1qYnn9jWyu7aLFw81k2pPoMs7FCn4qme+erXMV1AG\nr9UzwM6R+RT17iPVZibfZePN4+0cb+1lZdSS42E1fRvmUBLiY1h+QchDxel2vscdaroyFoWVKtvl\n7YBDT6ltj30MWg/Clm/Q0a8+g5MuOwKsuEl9XXw1CKEFX+M/l0+0eShKs0cGqLHQj3NnZHZyUZaN\nLNFDky/Ke25PV9WR8OCrfifkLFHySwSy6DGHdzQKC4oxCcmL744yYTrHmFMN91LKB6WUlVLKyqys\ncfQ0TZCH36jCajHxlatUSrksM9nf7Lr9ZAcdvYNcviw3oEEzimzAeMjRDaqjBF+60eyWxTlsqsjE\nOzjCnv5sHrDfTVH7myT1NbLDt9DfHzIuzBbVlxFk5O0XjQUqS9LYV9/Di4daWKdnt/zBV4EKrLQg\na2FuChcvyQn87vCgKX+l6qnq64Rdv8MnzPzeu86fCm/uGSBbF4kNFtzztof+njAW5qSwq7aLzd9/\nmSv/RxkP6yvmRSmDzMt0sFj7m2qO7FK/t+yCyF+Ud7aSxgiy3+nqHWB16+P82vZ9Ljbv4i7LU9y6\nrpjj4SKxwVS9rlZxd7+uMpRjED7K7couwiJ81NbHbhat7fBG79/w+VTwFTRp2+YO0tdy5qupU71J\nvKchZskRQNicpOANGENPkLbeAaxmEyk1W5Xw7j++HAiuG3arz0aEZpUKRo9TrC7KQcHXvu0vMSIF\n5K/k+QPN6ljkn60kWfRpsqY9kHcWoM4hn9SysuYEWPtP6ubQ14FIn0ff0AjNcd6YRnySDu8gmQ6r\nusGPlfnSGqxzy9Q1JVbwVd3hpSA1SQXJQeSn2gLHWjtWix29IeWcYEozHNitZradbKdnlOzp8VYP\nLxxs5jOXLOB7N6zgnDRV+jvUrwKenv4huvuGEJnKK4/2o/7Skz8TF436d1VW/qybQtsvUnLBlACd\n1fT/7hZ48T/Z6ZvPbttaLGEae+XJ2rGwZ/BudSd3/24n1z3wBv1DPj53qcpYH2gIk97Rs2RtR0J8\nTUGdL2/5lpI47IbG3SzJd/qz1+vLomRhjqtKACXnhG63OeGOp+CDj0YYsRel26nt7Bs9iC+sVJm5\nbZp48Lq71dfijbD4ajq1oHbSZUdQEkW3/RWuUJ6a2Sm2UG3FOOgfGmHbiQ7Whiv/j4ZeUYgi3VNg\nUdfW4wMpEY/5hVaDPIf9JdmglgR9gR1zeEejuLgUgN+8sGPsxcIcYSqCr3og2MCsUNsW9TlCCAvg\nAsbuXJ1GBod9PLuvkS1LcvwZmIqcZJp7BujoHeRvexpISjBz/sKs8VlfxIEedITX5H0+yeM76yjJ\nsDM/O1mV/YA/bKvh+20b2JpxCx5pY69jverHmgglG9QFS2uQN5kEj9y1ntvWl/Cnu9ZzrqYq//7V\nWvIy2LrGlhooL4bT16UutglaRk5LG1P1Orz3J7oKNtNKql/vq7mnPzDO7CpUQZLPF5h+idE7taLI\n5S+xNPX0c7Ktl+NdI/TKRFZnqfKwno0bOKpdVMujBF96GSFI6b724Dt8K+EhRHI2x53ruMy6h0VZ\nSQwO+2Jr5rQfU78rd3lEQBGN8FFuV5Y6ddoao2dU3P1DXPPj19n4nZciy62th1SwWnquf1OIvpYu\ndqlPXPU0jGoqbUrOwC4G6OianMp9u2eQjGQrIthe5fAzSo6j5UBU2xM9E1jTNQS5Z/mzkj39Q5gb\nd9JiK+W6tQto7O5XWZD8laoc3npQNem2H/O7Fzy3r4l8l01lviBg9wKYtc/Cydb4Bgs6vYNIqV38\nU0vUhOBoU7Ltx8GcSEZeGan2hJhyLjUd3qi9R3mupIARvRZ8LbTHFr61mE1sWZLDn3fUsfHbL/mt\niMLZekidV7pNV7FPk9fpUcGI7uOYXKDdTNuP+VsbYv1OuuvU4IOzEDbeG/qYyaya+Xf+GtuxZ3jH\nt4Av83EKF65WrQ9BemnzrB58UtBnTefRdwPDJ8sLXHygshCrxeTXB/OjO2No/WnBma/aTi+v+zQ7\nr2MvsbE8ULFYURgaRDHUDzt+qT5z0QRx550XVTKmKN3O4LBvdJs2XYrole+qftBLvw3//Brc/HsQ\ngi4tqzMlZUdQ1znNezHbmUhLlMX9aLx+tI2+oRG2BC+qx8KRqRITUTTNTB7VtvFaY0L0INVZEJr5\n6qxSi/ug60Og52uMsmOyStYkDnbw+K5pto6bIqYi+HoHqBBCzBNCWIGbgXCJ9icB3XDrBuAlOS7f\niqnHJOD/fWAFd54b0O5aU6qyLa8eaeWp9xq5fHmuEhnt6xif+vIY6DfH8ODr9WNt7Kzp4p83lSOE\noCA1iZREC4/trMMkYNWd99P4L0f40T3vjz8tHE6x1pcUNM6/riyDb1y3DIvZxIO3r+bZT54XuGD1\n1KteF1tqSOYrgv4u9bi+X0XrVNnrkQ+Bpwnrmg8DqvdiYHiEjt7BgJCfq0jdSHtbA1IajuiZz00V\nodv31HXx4sFmOqSTcod6P132BPJcNpKad6kJ1bTSyF+k93cErcJ9B59kWJrwfPBpyi++E/NIPxUm\n1csQNfMkpeoViaKbFYvwUW6hlZZ6WqNfMJ7Z2+hfIYerdfvti8KDLz2jmKFnMbSpzjFMpa0p6ph3\nd0xOZb7dM6Auls37VK+gq0iVupv2qvJOlInQNHtCwD6qYLXqZdv6X3j+9xIqOYh13gYqS9U5uLO6\nKyDt0rBLTU8C5K2gd2CYV4+2csnS3MA5kqx5es7bRNYCtSg4GU8jOYFzNDM5Ud3gB3pinwOgyo7p\n8xAmMwtyUjjUFD1waoih3ZWXaqO7b0hlH7XPxjzr6MHwpy5ewM1rivAMDHP/S9H9FF850kpFdrJf\ndFa0q+c926gCrENa2bKsfJGSn2g7yrxMBxaTiF3SPPCkyhx/6FH1Hmt09g7yH0/up96xFPo6ccsk\nnjjrf3n66x+hYrFm7xVUvi2wdNGGi31Nvbx4sJkrl+fx2ucu4M//vIEEs4nCtKTIhYctVWVI9b7N\n1ODMVx8dOPHlroDjL/H+VYWsLknj/ltWRnqNHn5a3fQv+mrM9zcaRdr06ahSHGklAQ/gJdeozGDe\nWf6FfKd3CIfVHL9e4zjIcdroGcNCLpwXDjaTnGiJnh2MhRDqbzz5auSiROsDO9jrYFdtlHMmXGhV\nbyMIuj60uFUW3TnKtCPgbz2pcPTz9omx5WDmApM+6loP1yeAvwMHgT9LKfcLIf5TCHGN9rRfAhlC\niGPAp4EIOYqZxmI2cdHiHJYHrYSWF6SSYrNw3yO7cQ8M84HV2gnt7ZzSzJctwYzTZonIprx0qAVb\ngonrV6kVmBCCpQUqi7O8UHmAVeS6YjbfxkX+SnVxrX4r6sN2q8VftgNUP4WrUJ1kWs9XVPq61OM6\nlkS4/Hvq5nvup0g+62ryXTYONvbQoqXDc1xBwReolbSnWZUUzNFT8evKMvifW1by6N0bSLSY2FPX\nzc7qLjyWVOxDgdX0wtwUcjwHAhe/cNJK1fugWR0BWNoOUStyyc7J99/cS/rV41EFC73t6macXhb5\nWAz04Muf9UtRq8yhruhj0juqOkmzJ7C6JI23jgcli3f9Ht74ESy4PGTV3+YZDDTLppWo5tX2Yyrr\n1NcxatkxUXMb8HRMTnG/zTOopi2b9ytD8YotahJLv1FGCb6EEAH7qOJ1MNwHr3wXa9cJTCZBxsWf\npizTQao9gXerO9V7npQOJ17GW60mWn962MHLh1sZHPZx2bKwzOmGe+COv5HrSsKWYIo786Xr/uWn\n2gJN5KP1fXVV+/tgluY7OdTojhBuHtKsuXKiCFnma0b2DV39DFvsdEsH+ebR+wFLMx185/1nceu6\nYp7Z20h3X2jZpW9QlZM2LwxauNRuo9tewrFOHw1dfRxo6CE50UJBmsPfr2k9+BfOzhiJHXwde0Et\nYsJ6pb7/j8P86s0qvlelMq9/HtnM5WeXqGBYn3zzBCbTskQXLTKVX71RRYt7gIsWZ1OUbifJqto8\nCtOiyGkIoRY9fpX+QPBV1+klKyUR0/wLoW47LlMfj/3LRq5eEeWzf/hZlZXSJ6DjRM9aRgSF4bz/\nlyoreNHXAOW7qsvBdHkHpy7rFUZWjOpKLHw+yQsHWzh/Ydb4g8HFV6myfngPrZbVajNn8bf3olzf\nXFrwpQutNuxSWmtBk6W1HV4K0yOttSLQFutnpw+xM4Z25VxjSkJuKeUzUsoFUspyKeW3tG1flVI+\nqX3fL6X8gJRyvpRyrZTyxFS87lRjtZi4Z7PKFqwoSmWdXvue4swXQGZKYsSJsbu2i5VFaX6dFIBN\nekP8WVMzaYklUfUi1Lw5+vNq34FXvhewrgHV9xCz7NgZ2ae17Hq4d5cSHBWCJflODjb2+Mfs/St/\nvwJ/jSo7Jo+e9r5mRT6VpeksyXeyt66bd2s6kUnpIRpMi3Ps5I00MhI85RiMyaxGy4PKjim91bQl\nFqsTPWM+pOSR/+pnuc70eoT4LhBQ8B5P8KUZlvuzftrfautvjdqrsLOmk1XFaawoTGVfQzfDCPks\nYQAAIABJREFUI9rU1xs/VArx7/+5/7n9QyN4BoYDZUdzggoy248FVpijlB0daeqz5u2e3LBLq3uA\nfLuSXCBnGczforTb3v5f9ffGCACLdfuoRVdD6XmcLLmByv4H2HnzLsiswGQSrCpO492aTnXzXXEz\nvoNPUbX1YeplBt99o5t7/7SLHGcilSXRewZNJkFphoOqODNfetBdkJYUCHI7q2L/QHed//O8LN9F\n39AIJ8O0A1vdA0hJVAsXXW+wsbuPpp5+mmQaWTK+Do2b1xTRP+TjybAb3cGmHgZHfKzRMoe0HoYT\nLzNUrsqx20928NKhFtaUpmEyCRVQHf0HPPYx7h/4sj8rRmc1/PEWpYk11Kf6DYPFjlGfwSd2N7Cy\nOJUnhtZwycB3uT/hI4E+Im2xEWypldjXgteaydN7G7ElmLhgYagIrhKSjRLk6FOGSWkh157ajj6V\nmSq/UMkWVL0W+01rPwa5y8bdz1uQloQQY2S+9H285Btgc9I7MMzlP3qNTd/bSktPv6ZuPwX9XlHQ\nW1vCm+5b3P1RA8YDjT20eQa4eHF2xGNjsvR6Ncj19k9Ct3fVgDWZtYvLeXxXfWQWzpmvMuF6q0nD\nLnW9sAQC0up2LyXRpEHCsaWCMFOU2EuLe4Degcn1rc4Ec6rhfi5w9/llPHr3Bn7z0bXqQgRaz1f0\ni/lEyUqODL6auvsjPNw+es48vvv+5dyxsXTqXrx4vRImHBpFhO/hy2Drt9QJod+wbU51E/X5Ip+v\nlx1HYXGek+Otvbyt+dfpPW0h9kfuRiWREAdnFbjYXtVBq3uARFd2SPC10uXFIny0mkcJ5DIX+MuO\ncmSYnOF6+pzaBd1kgqXvA+AHCT9loCnKFI022RZ11DwGTd3qmPtN0S2JDFpTyRGdHGsNzTB0eQc5\n3trLqpI0lhc66R/yqf4bKVUAsPByf48HBAusBq2mM+arPiR/8BU78+VMU1mJIXdbzOeMhc8nae8d\nYJGpDpBKAmPeeSoD11OnjJdjrGKLdPsokxk+/BT/bfsEmck21lcEFh6rS9I41uKhyzsIG+9lRMIS\neZzEsnNxJSUw4pN87Nx5keWlIOZlOjgRp21OQ1cfVouJTEfiqIbRgBJ97ev0f571rPX+sGbxQPYz\nsolYz2o3dvXT0NVPk0wndSi+YHh5gYsleU7+tD10KGB/sHTMyJBqBUhKJ+2Cj5OSaOEHzx+hvqsv\nkBkK6pHMG6zC29WspFBe/Lrq3Xvms1D1hhrmCLZYQ/UNeQaGue/iBawpTeeILOK6lYWBwQJ9YRWU\n+cLdRGFxKfkuG/95zbIIu53CtCQ6vUN4wm+ofjX90pDPVG2nV5VXi9aByRJ1qtnPONsGdBItZnKd\nNmo74hcy/e3b1bT3DuIdHOHFQy10eoemZtIxCtkpKohvCWq6b/cMsPZbL3LtA28wMBwaCOm9uGcV\njn4Nj4rNqaYtDz4VujjvUlOot6wrobtvKKC9qOMXWtX6ffVhHA0pJbUxeiMjMCk1gmyTuoZWxysO\nPIsYwVcYQggqS9MDZqdDfaoEMsWZr6yUxJBmzeERHy3ufvLDShG2BDM3rSmOmIqaFNlL1Iojivca\noC7QvqALnZ7ST3QCUo2ihxNedozC4jwnIz7Jz149zoKc5MB7bHMp3abuOhXQxHkxDB4bd2XkBlT2\ngYU2lXo+MaSO25/fqeWrT+wLLQHlrVBBTM3btDeeIJEhzPq0F8CW/4R73mZYmFlY95ja9voP4f80\nu6eOE4Dwl5nqOr18+9mD3PSzt/jKX/dFnT5r6ukn3WEl0RK00k7JI0d0cTSsOVvvk1hVnOb32qvp\n8KpAd2QwIkjVJR5CDK39wZeubh8782VLVTdGn3vima/uviGGRiRlviq1IWepChD1HrsFl8T82eJ0\ne8A+Cth2sp1z5mcEFkEE1Ml31nQy7MjhWyMfptuSSeaWT/HEx8/hO9cvD+njjMa8TAc17d5AFnEU\n6jpVb5bJJJRci7NQZX6i/vHae6wFX+VZyVgtpojgq7k7toVLjtOGENDQ3Ud9l5dGmU5Sf3w9eEII\nrl9VwP6GnpBM0b76HtIdVpVVq92mBm4u+zbm9FIqS9Oo6VBluiv17Pria1Rv6Jb/BGCd6ZCa2tQ1\n5U5shZe+oXquSkMnBJ/d14TTZmFDWQb337KKey+q4N8uCdLPsiSq64QefPlGoLeV/MJ5vPnFi7hx\nTRHh6OLKEdlnzZg9OAAcHvHR2N2vfsaSqD53wYMfwXg71Lk0jsx1MMXp9oisZix6B4Z58NUTbFqQ\nRZ7LxhvH2qa17KhXFWqDPge6vltH7yDP7QttLTja4sFqNsWXZYrGkuuUMXl1UEWlqwZSi9lQlkFZ\nloOfbD0eev0NFlrtOK7uK0H6fw3d/bgHhinXhbzHwpFFqlQLjXgz27OJEXyNhT6mP4U9X6CCr7ag\nzFeLewCfhFzXJPq54sXvvRij+tsbdvPVxRP1LEt/lCbiODJfetljaERyy9pAnxJCqBtW4x6VOdDt\nicbgsmW5ZKUksqLQRXpWvgqSB7WSplBZsK3NSVz+o9f43GN7+M1b1bxxLCirs/I2dSP47fV073kO\nAFdhkJiiOQGyF7M3aR2r3S+pYPWFr8H+v6h+l6a9KjDVPN/u/eMuHnr9JJ6BYf6wvYbrHngjIrvZ\n3NMfcdNNyJxHqamZo2FCmYcaVZC7tMAZmAbs8AbS9GHl2fbeKGPZOUvV+6KrwY8mFJyUziAWrN6J\nG33r2bf8gRMqoNZ1gG59BM75pDI/jkFReqCJud0zQHPPQGBiUWNFkQuzSbD9ZCeHmtz8avACXr7y\nFchfSWmmg5vXFocEa9EozXQw7JNxGQ9Xd/SGrrwzK2KbsutG1VrwlWA2sSg3JcKiyp/5ihJ8WS0m\nspITqe/so7rdSzPpmL0takEUB7pu3+tHA5/z/Y3dLM13qnL60edVNqhCBcH3XbyARbkpfPf9ywML\nAns6fPQ5WH8PvgQ7G0372X2yVX3+139c9Ug17la9fAmB65WUkteOtrJ5YTZWi4lcl41Pb1lAii2s\ntJacEwi+eltB+kZ1htCtlSJKjzlL4b59cP7n/Juq2r2M+CSlugh19pLYwZe+IEmNDPjiYVFuCkea\nPXFpxv3qzSo6ege57+IKzip0sbe+mxb3AFljSChMFJc9gVynzX8NAdhV04nVbKIgNYmH36gKkc85\n0uymPDt51IzxqBSsVv1a1W8EtmnBl8kk+NTFCzja4uHlw0ELCX0h2F0ftdn+PW3xeXZRnNk4RyaO\nYbXoNoKv04E+Lfia6p6v5ETcA8P0Dar0b6PWC5QXr6fWZAgyvmbAHRmE6Tf3+VtUmUgPvmxaI/5A\nWObLN6Ia8WNoc+lkpSTyvRvO4t6LKrhtfajIJpkVgT609PiCL1uCmRf/7Xz+cs85mJJ10UUVOFrc\nanrwN/uVQONnL12I3Wrm7/uDVnyODPjY8yB9lG//CgC55csjXudIzmWky054/iuBjb+/QU1KLb4K\nUMdvZ00Xn96ykKfvPY/f37mOxq5+Pvzw9hDdrIauvojspsisoFQ0cbA+dErnaIubXKcNpy2BDIcV\nh9Ws0un68QmbCG1zRxEk1CU/3vujuukljrKKNJloM2Vh75t48OWfDvQcVRIcuvZTWonKpCRG0fzR\n0IOcuk6vv8nbL+KrYbeqrMrf3mvwDyCsLh3fuVmm3ZjHKj1KKalu81IaLGicuUBlvqINa0fJLi7I\nSYmQm2jq6cdqNsUcny/LcnC81cPJtl68tjwEMiD5Mgbzs5PJc9l4TQu+Bod9HG5yszRfC2KPvaiy\nWtq5vKIolefu28SFi6KU580JmErO4YKE/Rw/vEebVD0bbv6D0vW69NshT6/p8NLiHhhbJ8qRGVjU\n6r1f0SxoNHQNuKgelqlFIaLBgc+N9jnLKFfvXbTgVV9kOibQ5wQsynPiGRgeM4jv8g7yv68c5+LF\n2awqTmN5gYvqdi/ewRHmZU1ArzHu/UvhQGNgoXyoyc3C3BQ+fsF8dtd2hVwLjzZ7WJATZ4YpGgk2\nFTjpdm59XTDQ7e+TvGxZLhkOK08FW7XZ08GSpIZUjj6v+XMGhjdeO9qKLcEUcQ2IiSMLs7eNzORE\nquJsK5hNjOBrLPSLxBiBxXjRp1H0TIGu7ZMXZQJqyklKVROFbUfhB0vg/tUhujv+i9L5n4N/ejHQ\njJqoB19hmS99AnKMsiPAjZVFfHrLgsgVVrD3Yhzm1DpOW4ISoNQDEa+24u+qxmvNZAArH9lYyscv\nmM+q4jS/ue7wiE/1DWUtUIMBGhnZhRGv0VN0IT0yCQ7+TZVEdbHEgkqVzSFg77KqWL0H68sy+MkH\nV3GgsYevPaFW3lJK6jv7/OP+gRetIIFhWmqPhjSlHm/x+L0zhRAUptnVhV7PGoRlvtp6g2QRdNLL\nA+9NmEVKNLoScnAOTlxqQpXSJY7uw37Lo3jRb7I17V7/TWNRXmSw9qH1JdR39fGtZw6yKDfF/3Px\noutXBWcFotHpHcI9MExxsKBxZoUqj7ijTIR21wEipK9uQU4yre4B9VnTaO7uJ9uZGHOCqzwrmWMt\nHk609jKil+B1rbYxEEJwXkUmrx9rY8QnOdLsZmhEsqzAqWyDmvfC/IvG/kX+nbmQItmAs16zEMqs\ngKI1cP2DERmjPXXqOrCyeIzrgD0j0CKgv4+jZL4yk60kWkxjTxYCBxq7MQkCnrOuQkBG9+TUhX9j\nyNqMxUItwNvf0MNrR1uj6mq1uPv50C+34R0c4TOXqsCiMmixUD5em7hxsCjXyfFWj9+a6WRbL/My\nHdxYWUhFdjI/elH1Lrr7h6jv6mNBTuyFUVzkr1JixyPDgSywFnwlmE1UlqaFTiIKJZzM/sfh0FPs\ncW3m848fYMQneftEO4+9W8/VZ+XHP33pyILeNuZl2uM3hJ9FjOBrLPqmr+wI+P23Grv04GsGyo6g\nbsoHn1SBlPQpnRad3hgXJV3lObzsGG4tNBH0qanCtaNqUcVE31f9ot5Viy2rlOfuO4/PX6YmHlcV\np3KoqYcu7yBX3f865313qwp+z/8cvcLBw8l3IaKYpOdmpPG3ES37t+JmuORbSvn6w0/7bxr6qrww\nKLC6YFE2t60v4Yn3GnD3D9HTN4x7YNhfRvGj9UMV+er9Wl5SSo4GBV+g5CmauvsDxydKz5fDavaP\n6AMq87RAExkNGuGORa8th4yRSQRf7gFy6MQ80D3u4MuWYCY7JZHqDi+HmtxkpSSGBpIaly7N4abK\nIhLMgn/ZHF+WNJiM5ESW5jtDs6BR0EsXoZkvzXw5Wumxu059HoJkUiq0G1pwSTnY4SAaFdnJ9PQP\ns7e+G3uelgloj39A/LyKLLr7hthT1+UveS7LSYK//JMqBa+8Pe7fpUswfEg8q/4f7n8YxLEWD0Ko\n4HFU7BmBRZJHz3zFHoxRC4+k6JmvMF4+3MrK4qCJ8WAZm3B00/nkCQZf2rH91jMHuO2X27nrt6GN\n/U3d/Vz/kzc53tIbYsW2KqhXtWKyAc8oLM5LYWhEcrzVQ//QCPVdfUq7zWzi+lWFSvbH3e//bFbE\n21sVi/yVym2g7UhAAiRIBmdVcRrV7d6ALRyonkFPMz7p456aC3hkRy1/2F7Dx3+/k6L0JD57WZjl\n02g4MmHQTXmaxch8zWmkhAc3K5PT0fBOT9kxR5tG0cU7G7v7sVvNY4vJTRXpZaGaXVWvB76PUdby\nl4zCM1/6hMtksoM5S+CTe5T680TQ7Ub04Ku7FlNqMYtynf4eoJXFafgkfPbRPRxqcuMeGOZ3b1dD\nWikXiF9wpOy2qL+6IDWJrw/fzp5NP1OZLrNFTfAlBG6gdZ1eLCZBTkposHDt2fkMDvt4+XCrv/k1\nMvhSN/SLs7r55tMH2VHVQUN3P97BESqCSgH5qTZVnva0qL6dsExjiMBqMJs+q4zV9YzdKPTb88j0\ntavV6wRo8wyyzKLd6OII9sKpyEnmSLObg409gdJRGEIIvnvDWez9j0v9iu3j5X0rC9hd2+XvK4lG\nTXuk+XVAnDdG8BU20KDf0IJthpp7omt86ZwbJCS8cslCsCbHnfkCOGd+JiYBT+8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ebK/wcXfhmWXT/2c2cBI/gKZvHVge/1mrFBJEJAwSr1/bzzZndfzlCsFhP5riSONLnp6B0M+CvO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\nBF8GBgYGBgYGBjPI/w/BQJrfwY80gAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d334518>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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VbeOsvOAehv2aFvXgO+Nb9xRiX2s/U7MT/dGIPtPhePyg/GkmUg4jfO15Cewd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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d39f128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ymfsxviaenXq96E7Y8Aq0rkszvrT0GO2b1LMj8zoSmrBEWZAB2fUR1B2rRs0T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\nhsIzd0YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d418c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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ehOUr2r74isQsciWKJxEH5OBzYr5UZuZ4tLAKECfuClb3ReuT/c20fEXDKWtX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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d492390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def get_batch(data, num_samples, sample_length):\n",
" batch = []\n",
" for _ in range(0, num_samples):\n",
" start = np.random.randint(0, data.shape[0] - sample_length)\n",
" batch.append(data[start:start+sample_length,:])\n",
" return np.stack(batch)\n",
"\n",
"batch = get_batch(data, 5, 1024)\n",
"\n",
"figsize(10,2);\n",
"for i in range(0, batch.shape[0]):\n",
" figure();\n",
" sample = batch[i,:,:];\n",
" title(\"A random sample #{} of shape {}\".format(i+1, sample.shape))\n",
" plot(sample)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_channels = 2\n",
"sample_length = 1024\n",
"\n",
"tf.reset_default_graph()\n",
"\n",
"with tf.device(\"/cpu:0\"):\n",
"\n",
" filter_dims = [128, 64]\n",
" filter_sizes = [4, 4]\n",
"\n",
" input_batch = tf.placeholder(shape=[None, sample_length, n_channels], dtype=tf.float32, name='input_batch')\n",
" input_tensor = tf.reshape(input_batch, shape=[-1, sample_length, 1, n_channels], name='input_tensor')\n",
"\n",
" current_input = input_tensor\n",
" current_channels = n_channels\n",
"\n",
" Ws = []\n",
" shapes = []\n",
"\n",
" for layer_i, filter_dim in enumerate(filter_dims):\n",
"\n",
" with tf.variable_scope('encoder/layer/{}'.format(layer_i)):\n",
"\n",
" shapes.append(current_input.get_shape().as_list())\n",
"\n",
" W = tf.get_variable(\n",
" name='W',\n",
" shape=[\n",
" filter_sizes[layer_i],\n",
" 1,\n",
" current_channels,\n",
" filter_dim],\n",
" initializer=tf.random_normal_initializer(mean=0.0, stddev=0.02))\n",
"\n",
" Ws.append(W)\n",
"\n",
" h = tf.nn.conv2d(current_input, W,\n",
" strides=[1, 2, 1, 1],\n",
" padding='SAME')\n",
"\n",
" current_input = tf.nn.relu(h)\n",
" current_channels = filter_dim\n",
"\n",
" Ws.reverse()\n",
" shapes.reverse()\n",
"\n",
" filter_dims.reverse()\n",
" filter_dims = filter_dims[1:] + [n_channels]\n",
"\n",
" for layer_i, shape in enumerate(shapes):\n",
"\n",
" with tf.variable_scope(\"decoder/layer/{}\".format(layer_i)):\n",
"\n",
" W = Ws[layer_i]\n",
"\n",
" h = tf.nn.conv2d_transpose(current_input, W,\n",
" tf.stack([tf.shape(input_tensor)[0], shape[1], shape[2], shape[3]]),\n",
" strides=[1, 2, 1, 1], padding='SAME')\n",
"\n",
" if layer_i < len(shapes)-1:\n",
" current_input = tf.nn.relu(h)\n",
" else:\n",
" current_input = h\n",
"\n",
" output_tensor = current_input\n",
" output_batch = tf.reshape(output_tensor, [-1, sample_length, n_channels])\n",
"\n",
" cost = tf.reduce_mean(tf.reduce_mean(tf.squared_difference(input_batch, output_batch), 1))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# for op in tf.get_default_graph().get_operations(): print(op.name)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 0.101049\n",
"1 0.111034\n",
"2 0.119596\n",
"3 0.0803627\n",
"4 0.105175\n",
"5 0.112531\n",
"6 0.109726\n",
"7 0.106154\n",
"8 0.0794287\n",
"9 0.0684282\n",
"10 0.0532393\n",
"11 0.0489963\n",
"12 0.0336248\n",
"13 0.0205075\n",
"14 0.0229269\n",
"15 0.031744\n",
"16 0.040031\n",
"17 0.0353137\n",
"18 0.0315567\n",
"19 0.0264003\n",
"20 0.0172329\n",
"21 0.0182173\n",
"22 0.0239291\n",
"23 0.0222227\n",
"24 0.0300559\n",
"25 0.0222678\n",
"26 0.0245075\n",
"27 0.0263945\n",
"28 0.0175914\n",
"29 0.0194293\n",
"30 0.0188083\n",
"31 0.016158\n",
"32 0.0184666\n",
"33 0.0132804\n",
"34 0.0198002\n",
"35 0.0231511\n",
"36 0.0213834\n",
"37 0.0200222\n",
"38 0.0186385\n",
"39 0.0198466\n",
"40 0.0151702\n",
"41 0.0200388\n",
"42 0.0189264\n",
"43 0.0162657\n",
"44 0.0124309\n",
"45 0.015654\n",
"46 0.0127067\n",
"47 0.0116025\n",
"48 0.0153796\n",
"49 0.00958521\n",
"50 0.00868804\n",
"51 0.0102743\n",
"52 0.00864608\n",
"53 0.0082938\n",
"54 0.00717059\n",
"55 0.00461627\n",
"56 0.00501006\n",
"57 0.00330621\n",
"58 0.00416592\n",
"59 0.00478252\n",
"60 0.00490531\n",
"61 0.00480525\n",
"62 0.00385126\n",
"63 0.00481416\n",
"64 0.00382526\n",
"65 0.00525694\n",
"66 0.00544184\n",
"67 0.00361657\n",
"68 0.00262579\n",
"69 0.00324246\n",
"70 0.00387156\n",
"71 0.00595258\n",
"72 0.00362377\n",
"73 0.00416499\n",
"74 0.00341913\n",
"75 0.0053461\n",
"76 0.0053165\n",
"77 0.00263905\n",
"78 0.00386904\n",
"79 0.00478291\n",
"80 0.00455596\n",
"81 0.00493801\n",
"82 0.0032616\n",
"83 0.00388024\n",
"84 0.00320043\n",
"85 0.00318552\n",
"86 0.0029663\n",
"87 0.00324243\n",
"88 0.00327789\n",
"89 0.00219251\n",
"90 0.00366505\n",
"91 0.00179627\n",
"92 0.00288543\n",
"93 0.00326759\n",
"94 0.00382982\n",
"95 0.00311791\n",
"96 0.00415082\n",
"97 0.0031956\n",
"98 0.00324429\n",
"99 0.00241659\n",
"100 0.00207855\n",
"101 0.00306722\n",
"102 0.00202921\n",
"103 0.00573428\n",
"104 0.00280032\n",
"105 0.00254206\n",
"106 0.00295353\n",
"107 0.00259817\n",
"108 0.00361128\n",
"109 0.00259338\n",
"110 0.00333625\n",
"111 0.00265093\n",
"112 0.00385513\n",
"113 0.00404791\n",
"114 0.00400573\n",
"115 0.00375984\n",
"116 0.00222026\n",
"117 0.00217552\n",
"118 0.00258788\n",
"119 0.00262418\n",
"120 0.00291667\n",
"121 0.0022954\n",
"122 0.00301762\n",
"123 0.00547544\n",
"124 0.0029354\n",
"125 0.00263603\n",
"126 0.00285238\n",
"127 0.00213509\n",
"128 0.00275169\n",
"129 0.00240005\n",
"130 0.0023795\n",
"131 0.00162649\n",
"132 0.00274822\n",
"133 0.00206451\n",
"134 0.00307818\n",
"135 0.00185346\n",
"136 0.00169427\n",
"137 0.00173962\n",
"138 0.00301306\n",
"139 0.00251607\n",
"140 0.00194138\n",
"141 0.00361516\n",
"142 0.00291688\n",
"143 0.00216939\n",
"144 0.00195861\n",
"145 0.0018385\n",
"146 0.00199534\n",
"147 0.00182378\n",
"148 0.00200273\n",
"149 0.00300456\n"
]
}
],
"source": [
"optimizer = tf.train.AdamOptimizer(0.001).minimize(cost)\n",
"\n",
"sess = tf.InteractiveSession()\n",
"sess.run(tf.global_variables_initializer())\n",
"\n",
"batch_size = 50\n",
"n_epochs = 150\n",
"\n",
"examples = get_batch(data, 10, sample_length)\n",
"approximations = []\n",
"\n",
"for epoch_i in range(n_epochs):\n",
"\n",
" batch = get_batch(data, batch_size, sample_length)\n",
" sess.run(optimizer, feed_dict={input_batch: batch})\n",
" \n",
" recon = sess.run(output_batch, feed_dict={input_batch: examples})\n",
" recon = np.clip(recon, -1.0, 1.0)\n",
" \n",
" approximations.append(recon)\n",
" \n",
" print(epoch_i, sess.run(cost, feed_dict={input_batch: batch}))\n",
" \n",
"sess.close()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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tZk1lSNQ0tZFZ1sAVU/spTdULV0wL5etD+WxMLjab0GJLjubXMDrATdZQtTFz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\nO5LgSwghhBDCjiT4EkIIIYSwo/8P51DX+xaKttMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12cea12b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ynfZjjhmw5mL3x1QS+9pcXKjFSfGObJrsap8YBvnqTK4AYGmWsne4Yn4OTrw0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\n0cXHzyvD1t04tGMxb6lq068Lq/8zD/juHOXg7jDqHGOhoWIYZ5WlM4i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"text/plain": [
"<matplotlib.figure.Figure at 0x12ce1a390>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jsiaed0eWScqSFByHrvHl21cQ6FP3h3BukuOQt1gNpqcyDy9T+FLTCLoKKGKY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"text/plain": [
"<matplotlib.figure.Figure at 0x10ed47b70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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9RzsvMyu01EMX/lxO1/4h6W7LozSZA3aHfFfptRuHI1dXJMSaHvVSUW/sG6E1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\noWCMwteZ0+Rv7rT7eLdNe+BHIHw98pocfd7wSge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bKaFpD80O9cWYnTu2Jt2hrDnkik6a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\nLzz4Dht/8DzvVHu4+tdbuPOJPdhSLAHnjOnOjA6+QJ2wDrf28Nh+P07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"text/plain": [
"<matplotlib.figure.Figure at 0x11ecde860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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C3rGhgRgMYrhbSWyIevdahkg3sbW8lY9315EcEeTSBC3dWUOUyZ+wIH/evmUu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\nree+HS8pGZ3tLw6oYlvmbOX99oU8N+szMmUkptJ9tLVbePS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XI+L5OhVCJqp+dIGJznnL\nNJqxQkiqalpvM75Sliuj7IGjXYWGnSQmOoaqY164FR2mx6f/mzfg4wdUMn7YZLjwyY5dTa3t3PGP\n3QBk/voiiqob+WCvUrr/ydoDBHq5kmtu4IZ5ccqzNfFiZXx5BkPcIvZkVtBukcxJ0CHH7mjjS6MZ\nJCE+qrVQWW2zQ+NrZ5YZi5S95jy0tVs4XlLHzfN7v0GJmJ4K+tnGeIoKq7mGriG5v32VxTMbjrFq\nQXzHa8eKa/HzMBEd4IH3UGp8nU5sSfn+fTT21mjGKiET4JLnVbGKzfPrE3ZKl5oY4ccJGUVy0ZGu\nxlf2V/DBPYA1fyF2fpfzdmdXdmx/nVPZkZv65h1z+c4rO7jzddXj0WgQ3LIwAWLnwaqPafEI4fWt\nOXxysAgPk5HZcQGnNO6xzBlyF9ZoRi+dja/unCyr45o/qx6M2U86Vp0/WV5PS5uF9Mg+WpDYknA7\nYQlO41Bhz2bVB/KV7s/R4hoaW5TyfmVDKxsOlXD1rDMocX3qtaq1SeI5Iz0SjWZkmH3rabnM1Bg/\n1hkSmFT6OU2VhbgHWHu2fvmcEiuecjV89VuIX9jlvKxOVdy7su1dKaZF+3cpNFq7p0AZXwDxi/jF\n2gO8tVMJxV4/N3ZoRZ3PUPRfRKMZJCHWptpldV2Nr4ySWs5/fkvH85yKeuKCvHqcb1tdTonqI3fL\nYIRV61TTbKML7F+Nd81UDu8qoN0iuzT/PVRU3eW6ty1KYH9+FT7uJlYtjD+l9zgiuHlrQVWN5jTg\n624iZfFVeHyxAX6XBivfhNQLVTXx5MuVdMXESyCqq0RMbkU9ri4GYgM92ZpZTmygJ0Ferni5ufDK\nzWfx+rZs3E1G/rzlJGW1zYT4uNHabuFf3+Rz7ewYfnpJGp460d4hutpRoxkkwd6OPV8vbFIrvxvn\nKb2cvXlVDs/ffKyUSD93kkK8+/5F8QtVLkhgIpzzEDPjgmhsbWdnln1F2tzWTp65kRAfN9oskjaL\n5JKpEaz+3gL+tuqsfpPzNRrN2GTa2ZfxbPt11LsEKIX80sNKpDV6jsqpjDmrh1xFTkUDsYGeXDwl\ngq2ZFWw/aSY6UBXsJId688sVk7lkqvKifZFRBijNwqZWC4tSgvF1N+FyikVIY51B/VWEEIFCiI1C\niAzro8PArhCiXQix1/rz4WB+p0Yz2vBwNeLj5tLD+NqXV8WFk8P5+bfTMRkFR4pqe5zb0mbhqxPl\nLJkQqtrwDIBlaWH4uLvw0Jr91Da1AlBUpXIybphrF0gcbM9JjUZz5uNicuW/QdezzeNsOPJvu2ZY\nyvm9npNrbiAu0JNrzopBAFnl9SR3WyROivQl2NuNl7ecpKSmiT05yuM+U+d59clgTdKfAJ9KKVOA\nT63PHdEopZxu/bm0l2M0mjOWEB+3LmHHptZ2cswNpIT5YDIaSArx7qJib+PrnErqW9o5Z0JIj339\n4eFq5IXrZ5JrbuD17TmAXctrTkIgj1ycxkffXzRgo06j0YxNUsJ8eK+pU/HOnDvB27HyvJSSXHMD\nsUGeRPl7MCFc5aSmRfh0Oc5gEDx15RRyzQ384J297MmtIszXjUi/YeikcQYzWONrBfCadfs14LJB\nXk+jOSMJ9nHr4vk6UVqHlJAaplaJcxIC2X6ygurG1i7nfXmiDKNBsCDp1Eqxl6SGkBbhy/aTKvSY\nX6kSYKMDPLh9cWJH42+NRqOZGevPJ7UJ/CL4eWa0/4Nd6Q/3emx5XQsNLe3EWcOMd52jWpmdFd9T\nY2xpWhg/WJbK1swKPtxXyKy4AL3o64fBGl9hUsoi63Yx0FsdrLsQYrcQYrsQolcDTQhxp/W43WVl\nZYMcmkYzfIT4uFHeyfjKKFUhRlsvxitmRtPSbuGSP3zRpQ/klycqmB7jj4/7qTeLnhTpy+HCaqSU\n5Fc2YjQIIvSqU6PRdMMmd/NafhiVrS58vL+o12Nt96nYIGV8XTotkq8fWca0XtIYVs6xS95cODni\ndA15zNKv8SWE+K8Q4qCDnxWdj5NSSjrEQnoQJ6WcDVwP/FYI4bAbsJTyZSnlbCnl7JCQgYdhNJqR\nIsS7q+freEkdLgZBvLW6cXqMP2/dMY+axjZ+/sEhWtos/PnzTPblVbEweXDq7ZMifSmva6G0tpmC\nqkbCfd11kqtGo+lBWoQvq783n/X3LWZJaghbMnp3cmSU1gGQEmoPMwZZi4sc4eNuYs1d87n7nCSW\nTzo1PbLxRL9SE1LKZb3tE0KUCCEipJRFQogIwGHXTillgfXxpBBiMzADyDy1IWs0o48QHzdqm9to\nam3H3WTkcGENiSFeuLrYjaB5iUFcMzua17bm8P7eAp5YfxSAc08h36sztgrGPTmV5JobzhwFe41G\nM+zYwoZnp4bw2EeHya9sIDqgZ8uxY8W1eLoaifJ3/n4yKy6QWXEDa300Xhns8vhD4Gbr9s3AB90P\nEEIECCHcrNvBwELg8CB/r0YzqrAJre7Lq+Lspzfx+fEyFiT19GgtSA6mpd3CHzedQAj49IdLmBE7\nuKogWwLsXW/s4eucSqK18aXRaPrhvImhGAT84oNDtLVbeuw/VlxLSqg3BoPO3RoKBmt8PQmcL4TI\nAJZZnyOEmC2EeMV6TBqwWwixD9gEPCml1MaXZkxhM75e3nKSXLNKev/2tMgex820Glo5FQ2cNyG0\nf20vJ/BxN3HH4gQCvVwBmN9LGyONRqOxkRDsxS9XTObTo6U8t/F4l31SSg4WVjNJF+wMGYNSuJdS\nVgBLHby+G7jdur0VmDKY36PRjHZsKvefHi1leow/q783H5ODvCs/DxM+7i7UNrX12uvxVPjpxenc\nsTiRT4+WcuXMM6iFkEajGTFunBfH4cIaXtycyQWTw5karZLpcyoaqG1q67vrhmZQ6KxcjeY0kBrm\ng4vVPT8/Kcih4WXj8csmExPowbL005uUGurrznVzYnWYQKPROM2Dy1MB2H6yAoDcigb2F6gWZdr4\nGjp0b0eN5jTg6mLgiplRrNlTwNKJjkULbayYHsWK6VHDNDKNRqPpnSBvN8J83ThSVMvH+4u45809\nALgaDR1SOZrTjza+NJrTxFNXTuWxyybj5qIbyWo0mjOHieG+HCuupbCqseO11HDvLtXamtOLNr40\nmtOEEEIbXhqN5owjJtCDvXlVSCn59rRIwn3dWDkndqSHNabRxpdGo9FoNOOYKH/PjtZncxICuXFe\n3AiPaOyjfYoajUaj0YxjIv3t7cjSI3Se13CgjS+NRqPRaMYxnYWZdZL98KCNL41Go9FoxjFTouzN\nsn3cTSM4kvGDzvnSaDQajWYc4+pi4LVb59DU2j7SQxk3aONLo9FoNJpxzpLUkJEewrhChx01Go1G\no9FohhFtfGk0Go1Go9EMI9r40mg0Go1GoxlGhJRypMfgECFEGZAzDL8qGCgfht+jcR49J6MTPS+j\nDz0noxM9L6OP4ZiTOCmlU8lzo9b4Gi6EELullLNHehwaO3pORid6XkYfek5GJ3peRh+jbU502FGj\n0Wg0Go1mGNHGl0aj0Wg0Gs0woo0veHmkB6DpgZ6T0Ymel9GHnpPRiZ6X0ceompNxn/Ol0Wg0Go1G\nM5xoz5dGo9FoNBrNMDJujC8hxAVCiGNCiBNCiJ842O8mhHjHun+HECJ++Ec5vnBiTh4QQhwWQuwX\nQnwqhIgbiXGOJ/qbk07HXSmEkEKIUVM9NJZxZl6EENdYPy+HhBBvDvcYxxtO3L9ihRCbhBDfWO9h\nF43EOMcTQoi/CSFKhRAHe9kvhBC/t87ZfiHEzOEeo41xYXwJIYzAH4ELgXTgOiFEerfDbgMqpZTJ\nwPPAU8M7yvGFk3PyDTBbSjkVeA94enhHOb5wck4QQvgA9wE7hneE4xNn5kUIkQI8DCyUUk4C7h/2\ngY4jnPysPAK8K6WcAawEXhzeUY5LXgUu6GP/hUCK9edO4E/DMCaHjAvjC5gDnJBSnpRStgBvAyu6\nHbMCeM26/R6wVAghhnGM441+50RKuUlK2WB9uh2IHuYxjjec+ZwAPIZanDQN5+DGMc7Myx3AH6WU\nlQBSytJhHuN4w5k5kYCvddsPKBzG8Y1LpJRbAHMfh6wA/iEV2wF/IUTE8IyuK+PF+IoC8jo9z7e+\n5vAYKWUbUA0EDcvoxifOzElnbgPWD+mINP3OidVNHyOl/Hg4BzbOceazkgqkCiG+EkJsF0L0tfrX\nDB5n5uRR4AYhRD6wDvj+8AxN0wcD/d4ZMlxG4pdqNANBCHEDMBtYMtJjGc8IIQzAc8CqER6Kpicu\nqFDKOSgP8RYhxBQpZdWIjmp8cx3wqpTyN0KI+cDrQojJUkrLSA9MM/KMF89XARDT6Xm09TWHxwgh\nXFBu4ophGd34xJk5QQixDPgpcKmUsnmYxjZe6W9OfIDJwGYhRDYwD/hQJ90POc58VvKBD6WUrVLK\nLOA4yhjTDA3OzMltwLsAUsptgDuqv6Bm5HDqe2c4GC/G1y4gRQiRIIRwRSU/ftjtmA+Bm63bVwGf\nSS2CNpT0OydCiBnAn1GGl85hGXr6nBMpZbWUMlhKGS+ljEfl4V0qpdw9MsMdNzhz/3of5fVCCBGM\nCkOeHM5BjjOcmZNcYCmAECINZXyVDesoNd35ELjJWvU4D6iWUhaNxEDGRdhRStkmhLgX2AAYgb9J\nKQ8JIX4F7JZSfgj8FeUWPoFK2Fs5ciMe+zg5J88A3sBqa+1DrpTy0hEb9BjHyTnRDDNOzssGYLkQ\n4jDQDvxISqk990OEk3PyQ+AvQogfoJLvV+kF/dAihHgLtQgJtuba/QIwAUgpX0Ll3l0EnAAagFtG\nZqRa4V6j0Wg0Go1mWBkvYUeNRqPRaDSaUYE2vjQajUaj0WiGEW18aTQajUaj0Qwj2vjSaDQajUaj\nGUa08aXRaDQajUYzjGjjS6PRaDQajWYY0caXRqPRaDQazTCijS+NRqPRaDSaYeT/AfVpmvxsvyBQ\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ecf3550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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OGTy6vZ/3nNPE3WXfI7nnWedln793C5d/e820u/3qA9v4UIlFxo6lEJM3LDWTj3dBrNcx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\nIkp8KRQKhUKhUEwi/x+okhMhRI7tcQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11eccaac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZQoYd2vgKlM46VCxNWsBVmzqdGAKSRpPOFyjPV8dH0nkOmfRYNbDqaccg6KwJ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\nRf8PbO/DRsuJc+kAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d5df6a0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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B3ToDaraDcT+BZ8CFXL5XhrVkYvd6jj3m39zCHVG88NMBXhvRivFlNLwqgRV6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\nvs+48u/aNQ0MXam9xb2OSx8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PUL9JG76aEFp0hfBrkGOxMeTTjWTlWln+RC8C85eHUUrx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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d66e748>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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WuWMuVqFpuB8KDj8oNs4GQYBAVkm4x1Dnu2CuGss0WwmofM7X5DDXro40rlla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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d687ac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KWQ+gXF/VjiJkKozs5DiaXR6eXFnB6vI2PjpMVMxDbn+TIthd3w7dLbh3fRAp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\nhULhRv4/om1iv2k8IhkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d66a908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for example_id in range(examples.shape[0]):\n",
" \n",
" figsize(10, 2);\n",
" fig = figure();\n",
" ax = fig.add_subplot(111)\n",
" x = numpy.linspace(0, 1, sample_length)\n",
" ax.plot(x, examples[example_id,:,:]);\n",
" lines = ax.plot(x, recon[example_id,:,:]);\n",
"\n",
" def animation_init():\n",
" for line in lines:\n",
" line.set_data([],[])\n",
" return lines\n",
"\n",
" def animation_step(i):\n",
" if i >= len(approximations):\n",
" i = 2*len(approximations) - i - 1\n",
" for line_i, line in enumerate(lines):\n",
" line.set_data(x, approximations[i][example_id,:,line_i])\n",
" return lines\n",
"\n",
" anim = animation.FuncAnimation(fig, animation_step, init_func=animation_init,\n",
" frames=len(approximations)*2, interval=20, blit=True)\n",
"\n",
" anim.save('/Users/andrey/animation{}.gif'.format(example_id), writer='imagemagick', fps=60)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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