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Created February 14, 2014 01:30
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MAT240E Homework5
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"worksheets": [
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"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import os\n",
"from os.path import join, getsize\n",
"import struct\n",
"from pydub import AudioSegment\n",
"import essentia.standard\n",
"import re\n",
"\n",
"rcParams['figure.figsize'] = (16, 4) #wide graphs by default"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 170
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following functions are used to detect the 'correct' offset in the autocorrelation output. 'get_second_peak' will return the index of the second-largest peak, which we will assume represents the lag equal to the period of the beat."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_local_maxima(start_idx, end_idx, data, peaks):\n",
" i = start_idx\n",
" #at local max\n",
" while data[i+1] < data[i]:\n",
" i += 1\n",
" if i >= end_idx: \n",
" return\n",
" #at local min\n",
" while data[i+1] > data[i]:\n",
" i += 1\n",
" if i >= end_idx: \n",
" return\n",
" #at local max\n",
" peaks.append((data[i], i))\n",
" get_local_maxes(i, end_idx, data, peaks)\n",
"\n",
"def get_candidate_peaks(data):\n",
" max_idx = argmax(data)\n",
" last_idx = len(data) - 1\n",
" peaks = [(data[max_idx], max_idx)]\n",
" get_local_maxima(max_idx, last_idx, data, peaks)\n",
" peaks.sort(reverse=True)\n",
" return peaks"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def windowed_rms(input_sig, win_size, hop=None, sr=1.0):\n",
" if not hop:\n",
" hop = winsize/2\n",
" rms = []\n",
" window_start = arange(0, len(input_sig), hop)\n",
" \n",
" for start in window_start:\n",
" w = input_sig[start: start+win_size].astype(float)\n",
" rms_inst = sqrt(mean(w**2))\n",
" rms.append(rms_inst)\n",
" times = (window_start + win_size/2)/float(sr)\n",
" return times, rms"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 71
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Testing:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"albums = [#'/Users/ogc/Music/iTunes/Aphex Twin/Richard D. James Album', '/Users/ogc/Music/iTunes/fononaut/ripples', \n",
" '/Users/ogc/Music/iTunes/The White Stripes/White Blood Cells']#, '/Users/ogc/Music/iTunes/The Dead Texan/The Dead Texan']\n",
"\n",
"#using the same default bpm limits as essentia's RhythmExtractor2013\n",
"min_bpm = 40.0\n",
"max_bpm = 208.0\n",
"\n",
"test = True\n",
"with open('tempos.txt', 'wb') as f:\n",
" for root, dirs, files in os.walk('/Users/ogc/Music/iTunes'):\n",
" if 'CVS' in dirs:\n",
" dirs.remove('CVS') # don't visit CVS directories\n",
" if root in albums:\n",
" print 'album: {0}\\n'.format(root)\n",
" for name in files:\n",
" if name.endswith(('.wav', '.aif', 'aiff', '.flac', '.mp3', '.m4a')) and test == True:\n",
" #try:\n",
" #load the file\n",
" filename = join(root, name)\n",
" filetype = name.split('.')[-1]\n",
" song = AudioSegment.from_file(filename, filetype)\n",
" max_amp = audio.max_possible_amplitude\n",
" sr = song.frame_rate\n",
" channels = song.channels\n",
" total_length = int(song.frame_count())\n",
" \n",
" #let's just examine a 30sec clip in the middle of the song\n",
" start = total_length/2\n",
" end = start + 30 * sr\n",
" clip_length = end - start\n",
" data = []\n",
" \n",
" #pydub doesn't provide an easy way to downmix. There's a method for it in the source code but I can't \n",
" #figure out how to access it\n",
" for i in range(clip_length):\n",
" frame = song.get_frame(start + i)\n",
" sample_l, sample_r = struct.unpack(\"hh\", frame)\n",
" sample_mono = (sample_l / 2) + (sample_r / 2)\n",
" data.append(sample_mono)\n",
" plot(asarray(data))\n",
" \n",
" \n",
" figure()\n",
" times, rms = windowed_rms(asarray(data), 256, 128, sr)\n",
"\n",
" title('{} RMS from t={}s to t={}s'.format(name, start/float(sr), end/float(sr)))\n",
" plot(times, rms)\n",
" figure()\n",
" \n",
" \n",
" max_lags = 500\n",
" lags, cc, lines, line = acorr(rms, maxlags=max_lags)\n",
" grid();\n",
" peaks = get_candidate_peaks(cc)\n",
" \n",
" if len(peaks) == 1: \n",
" print 'auto-correlation failed to find peaks'\n",
" continue\n",
" \n",
" valid_bpm = False\n",
" for peak in peaks[1:]: #try to find a lag which translates to a reasonable bpm\n",
" offset = peak[1] - max_lags\n",
" bpm = 60.0/times[offset]\n",
" if bpm >= min_bpm and bpm <= max_bpm:\n",
" valid_bpm = True\n",
" break\n",
" if valid_bpm == False: #fall back to 'best guess'\n",
" bpm = 60.0/times[peaks[1][1] - max_lags] \n",
" \n",
" \n",
" gcf()\n",
" #ylim(0, 1.5)\n",
" vlines(offset, 0.0, 1.0, lw='4', colors='y')\n",
" #plot(cc);\n",
" print 'Estimated BPM: {}'.format(bpm)\n",
" test = False\n",
" #f.write('{0}, '.format(tempo))\n",
" #print '{0},'.format(tempo),\n",
" #except (RuntimeError, TypeError, NameError):\n",
" #print 'failed while processing file {}'.format(name)\n",
" #continue\n",
" print\n",
" \n",
"#print extensions.keys()\n",
"#print durations\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"album: /Users/ogc/Music/iTunes/The White Stripes/White Blood Cells\n",
"\n",
"Estimated BPM: 79.8141891892"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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dv1u0tlWFs2IF8M035p7z3XeRt3XI1LGjucSZrVuLKAun9w1HOzza7xfnleG2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\nPysoKp5kWQb3AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10c96a350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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mYWFhrHXr1mzFihWMMcaOHTvG2rRpw4KDg1nr1q3ZzJkzWUxMjJnsxYsXM5PJ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GEbfFHLdSXMyum3jj8+eo5YgiAYEUJ65A8TJqg/T6WYqfE77+SuLnzgUk2ufPEwdix7/e9/mfnk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\nmM0VfiaSS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"text": [
"<matplotlib.figure.Figure at 0x110ac4cd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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xhWlkTGEaGVPkGhpTAAAAAEBW0ZgiL5ExhWlkTGESGVOYRsYUppExRa5hTwwA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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x111136d50>"
]
}
],
"prompt_number": 111
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we'll use this technique to gather tempo estimations from several albums"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"albums = dict()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 131
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"directories = ['/Users/ogc/Music/iTunes/Aphex Twin/Richard D. James Album', '/Users/ogc/Music/iTunes/fononaut/ripples', \n",
" '/Users/ogc/Music/iTunes/The White Stripes/White Blood Cells', '/Users/ogc/Music/iTunes/The Dead Texan/The Dead Texan']\n",
"\n",
"#using the same default bpm limits as essentia's RhythmExtractor2013\n",
"min_bpm = 40.0\n",
"max_bpm = 208.0\n",
"with open('cc_tempos.txt', 'wb') as f:\n",
" for root, dirs, files in os.walk('/Users/ogc/Music/iTunes'):\n",
" if 'CVS' in dirs:\n",
" dirs.remove('CVS') # don't visit CVS directories\n",
" if root in directories:\n",
" album = root.split('/')[-1]\n",
" print 'album: {0}\\n'.format(album)\n",
" if album not in albums:\n",
" albums[album] = dict()\n",
" for name in files:\n",
" if name.endswith(('.wav', '.aif', 'aiff', '.flac', '.mp3', '.m4a')):\n",
" try:\n",
" #load the file\n",
" filename = join(root, name)\n",
" filetype = name.split('.')[-1]\n",
" song = AudioSegment.from_file(filename, filetype)\n",
" max_amp = audio.max_possible_amplitude\n",
" sr = song.frame_rate\n",
" channels = song.channels\n",
" total_length = int(song.frame_count())\n",
" \n",
" #let's examine the middle third of the song (t = 33% to t = 66%)\n",
" start = total_length/3\n",
" end = start * 2\n",
" clip_length = end - start\n",
" data = []\n",
" \n",
" #pydub doesn't provide an easy way to downmix. There's a method for it in the source code but I can't \n",
" #figure out how to access it\n",
" for i in range(clip_length):\n",
" frame = song.get_frame(start + i)\n",
" sample_l, sample_r = struct.unpack(\"hh\", frame) #thanks to Joseph for this\n",
" sample_mono = (sample_l / 2) + (sample_r / 2)\n",
" data.append(sample_mono)\n",
" \n",
" times, rms = windowed_rms(asarray(data), 256, 128, sr)\n",
" \n",
" max_lags = 500\n",
" lags, cc, lines, line = acorr(rms, maxlags=max_lags);\n",
" peaks = get_candidate_peaks(cc)\n",
" \n",
" if len(peaks) == 1: \n",
" print 'auto-correlation failed to find peaks'\n",
" continue\n",
" \n",
" valid_bpm = False\n",
" for peak in peaks[1:]: #try to find a lag which translates to a reasonable bpm\n",
" offset = peak[1] - max_lags\n",
" bpm = 60.0/times[offset]\n",
" if bpm >= min_bpm and bpm <= max_bpm:\n",
" valid_bpm = True\n",
" break\n",
" if valid_bpm == False: #fall back to 'best guess'\n",
" print 'failed to find tempo within bounds'\n",
" bpm = 60.0/times[peaks[1][1] - max_lags] \n",
" \n",
" print 'Estimated BPM for {}: {:.2f}'.format(name, bpm)\n",
" f.write('{}, {}\\n'.format(name, bpm))\n",
" if name not in albums[album]:\n",
" albums[album][name] = []\n",
" albums[album][name].append(bpm)\n",
" except (RuntimeError, TypeError, NameError):\n",
" print 'failed while processing file {}'.format(name)\n",
" continue\n",
" print\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"album: Richard D. James Album\n",
"\n",
"Estimated BPM for 01 4.mp3: 206.42"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 Cornish Acid.mp3: 138.89"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 Peek 824545201.mp3: 113.07"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 Fingerbib.mp3: 65.79"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 Carn Marth.mp3: 165.44"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 To Cure a Weakling Child.mp3: 163.04"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 Goon Gumpas.mp3: 195.65"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 Yellow Calx.mp3: 165.44"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 Girl_Boy Song.mp3: 84.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 Logan Rock Witch.mp3: 182.93"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 Milk Man.mp3: 164.23"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 Inkey$.mp3: 159.57"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 Girl_Boy Song (\u00a318 Snare Rush mix).mp3: 84.59"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 14 Beetles.mp3: 91.84"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 15 Girl_Boy Song (Redruth mix).mp3: 127.12"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: ripples\n",
"\n",
"Estimated BPM for 01 people.wav: 79.81"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 fallingElevatorBlues.wav: 138.74"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 controlledBurn.wav: 82.69"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 ceaseToBe.wav: 109.38"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 untitled.wav: 79.81"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 iteration.wav: 206.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 smilingFaces.wav: 178.21"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 buoyancy.wav: 206.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 richSoil.wav: 152.00"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 oldStandby.wav: 206.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 wiseChild.wav: 154.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 beanstalk.wav: 134.23"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 ripples.wav: 178.21"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: The Dead Texan\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-01 The 6 Million Dollar Sandwich.m4a: 181.33"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-02 The Dead Texan - Glen's Goo.m4a: 195.02"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-03 The Dead Texan - A Chronicle of Early Failures, Part One.m4a: 170.84"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-04 The Dead Texan - A Chronicle of Early Failures, Part Two.m4a: 206.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-05 The Dead Texan - Taco Me Manque.m4a: 204.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-06 Aegina Airlines.m4a: 202.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-07 The Dead Texan - When I See Scissors, I Cannot Help but Think of You.m4a: 198.77"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-08 The Dead Texan - Girth Rides a (Horse)+.m4a: 204.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-09 The Dead Texan - La Ballade d'Alain Georges.m4a: 168.06"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-10 The Dead Texan - Beatrice, Part Two.m4a: 204.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-11 The Dead Texan - The Struggle.m4a: 124.53"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: White Blood Cells\n",
"\n",
"Estimated BPM for 01 Dead Leaves and the Dirty Ground.mp3: 80.12"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 Hotel Yorba.mp3: 193.20"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 I'm Finding It Harder to Be a Gentleman.mp3: 79.81"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 Fell in Love With a Girl.mp3: 186.23"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 Expecting.mp3: 90.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 Little Room.mp3: 173.71"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 The Union Forever.mp3: 129.20"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 The Same Boy You've Always Known.mp3: 80.75"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 We're Going to Be Friends.mp3: 200.70"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 Offend in Every Way.mp3: 178.21"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 I Think I Smell a Rat.mp3: 148.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 Aluminum.mp3: 179.76"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 I Can't Wait.mp3: 168.06"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 14 Now Mary.mp3: 129.20"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 15 I Can Learn.mp3: 204.67"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 16 This Protector.mp3: 206.72"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<matplotlib.figure.Figure at 0x11226bdd0>"
]
}
],
"prompt_number": 133
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The raw auto-correlation technique above is not very robust on its own, but it does work reasonaly well for some songs. The number of analysis windows plays a large part in how well it works, I got better results using a 256 sample window with a 128 sample hopsize than I did with a 4096 sample window and 2048 sample hop. I also found that I got much more accurate results when I analyzed a 30sec clip as opposed to a 10sec clip. When I analyzed the full songs I started to see weird results again, so I settled on analyzing the middle third of each song, which seemed to be a good way to avoid bias from the beginning & end, when tempo might be ramping up/down. I analyzed my own recordings so that I would be able to compare it with ground-truth, and a few of the bpm estimates were actually pretty acurate. When analyzing the 'Dead Texan' tracks, which are pretty ambient, the algorithm had kind of a hard time, it was usually much faster than what I tried to tap out while listening, which makes me think maybe it was getting a 'double-time' estimate, or maybe some other factor related to the time signature.\n",
"\n",
"Now let's compare some of these results to Essentia's 'RhythmExtractor2013' algorithm. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"directories = ['/Users/ogc/Music/iTunes/Aphex Twin/Richard D. James Album', '/Users/ogc/Music/iTunes/fononaut/ripples', \n",
" '/Users/ogc/Music/iTunes/The White Stripes/White Blood Cells', '/Users/ogc/Music/iTunes/The Dead Texan/The Dead Texan']\n",
"\n",
"min_bpm = 50.0\n",
"max_bpm = 300.0\n",
"with open('essentia_tempos.txt', 'wb') as f:\n",
" for root, dirs, files in os.walk('/Users/ogc/Music/iTunes'):\n",
" if 'CVS' in dirs:\n",
" dirs.remove('CVS') # don't visit CVS directories\n",
" if root in directories:\n",
" album = root.split('/')[-1]\n",
" print 'album: {0}\\n'.format(album)\n",
" if album not in albums:\n",
" albums[album] = dict()\n",
" for name in files:\n",
" if name.endswith(('.wav', '.aif', 'aiff', '.flac', '.mp3', '.m4a')):\n",
" #try:\n",
" #load the file\n",
" file_name = join(root, name)\n",
" \n",
" loader = essentia.standard.MonoLoader(filename = file_name)\n",
" song = loader()\n",
"\n",
" sr = 44100\n",
" total_length = len(song)\n",
" \n",
" extractor = essentia.standard.RhythmExtractor2013()\n",
" bpm, ticks, confidence, estimates, bpmIntervals = extractor(song)\n",
" \n",
" print 'Estimated BPM for {}: {:.2f}'.format(name, bpm)\n",
" f.write('{}, {}\\n'.format(name, bpm))\n",
" if name not in albums[album]:\n",
" albums[album][name] = []\n",
" albums[album][name].append(bpm)\n",
" #except (RuntimeError, TypeError, NameError):\n",
" # print 'failed while processing file {}'.format(name)\n",
" # continue\n",
" print\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"album: Richard D. James Album\n",
"\n",
"Estimated BPM for 01 4.mp3: 165.89"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 Cornish Acid.mp3: 141.86"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 Peek 824545201.mp3: 172.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 Fingerbib.mp3: 131.95"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 Carn Marth.mp3: 111.30"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 To Cure a Weakling Child.mp3: 162.96"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 Goon Gumpas.mp3: 134.98"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 Yellow Calx.mp3: 111.29"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 Girl_Boy Song.mp3: 166.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 Logan Rock Witch.mp3: 132.07"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 Milk Man.mp3: 163.70"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 Inkey$.mp3: 172.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 Girl_Boy Song (\u00a318 Snare Rush mix).mp3: 172.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 14 Beetles.mp3: 91.81"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 15 Girl_Boy Song (Redruth mix).mp3: 79.74"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: ripples\n",
"\n",
"Estimated BPM for 01 people.wav: 120.00"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 fallingElevatorBlues.wav: 140.06"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 controlledBurn.wav: 123.83"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 ceaseToBe.wav: 109.40"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 untitled.wav: 162.14"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 iteration.wav: 139.98"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 smilingFaces.wav: 90.07"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 buoyancy.wav: 124.92"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 richSoil.wav: 114.68"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 oldStandby.wav: 109.95"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 wiseChild.wav: 152.93"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 beanstalk.wav: 135.14"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 ripples.wav: 117.20"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: The Dead Texan\n",
"\n",
"Estimated BPM for 1-01 The 6 Million Dollar Sandwich.m4a: 84.12"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-02 The Dead Texan - Glen's Goo.m4a: 129.63"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-03 The Dead Texan - A Chronicle of Early Failures, Part One.m4a: 105.38"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-04 The Dead Texan - A Chronicle of Early Failures, Part Two.m4a: 90.45"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-05 The Dead Texan - Taco Me Manque.m4a: 90.14"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-06 Aegina Airlines.m4a: 114.71"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-07 The Dead Texan - When I See Scissors, I Cannot Help but Think of You.m4a: 129.08"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-08 The Dead Texan - Girth Rides a (Horse)+.m4a: 132.77"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-09 The Dead Texan - La Ballade d'Alain Georges.m4a: 86.21"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-10 The Dead Texan - Beatrice, Part Two.m4a: 143.95"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 1-11 The Dead Texan - The Struggle.m4a: 136.23"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"album: White Blood Cells\n",
"\n",
"Estimated BPM for 01 Dead Leaves and the Dirty Ground.mp3: 79.91"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 02 Hotel Yorba.mp3: 97.84"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 03 I'm Finding It Harder to Be a Gentleman.mp3: 78.91"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 04 Fell in Love With a Girl.mp3: 95.96"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 05 Expecting.mp3: 90.30"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 06 Little Room.mp3: 172.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 07 The Union Forever.mp3: 100.35"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 08 The Same Boy You've Always Known.mp3: 80.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 09 We're Going to Be Friends.mp3: 97.53"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 10 Offend in Every Way.mp3: 91.14"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 11 I Think I Smell a Rat.mp3: 152.06"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 12 Aluminum.mp3: 164.05"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 13 I Can't Wait.mp3: 172.27"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 14 Now Mary.mp3: 139.38"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 15 I Can Learn.mp3: 132.93"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Estimated BPM for 16 This Protector.mp3: 90.06"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n"
]
}
],
"prompt_number": 134
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I also listened to approximately the same section of each song and used TapNTune (free tap tempo metronome/tuner software) to estimate the BPMs myself. In cases where the tempo varied over the course of the clip, I used my guess that was closest to what the other algorithms predicted (if the two algorithms differed significantly, I recorded an average of tap tempo my guesses). I noticed that when there were tempo changes, the algorithms seemed to choose tempos closer to the 'loudest' section's tempo. Here are some plots to compare the results:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"album_names = albums.keys()\n",
"print album_names"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['The Dead Texan', 'Richard D. James Album', 'White Blood Cells', 'ripples']\n"
]
}
],
"prompt_number": 135
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#we'll plot them by album, starting with The Dead Texan\n",
"cc_tempos = []\n",
"essentia_tempos = []\n",
"artist_name = 'The Dead Texan'\n",
"album_name = 'The Dead Texan'\n",
"album = albums[album_name]\n",
"song_names = album.keys()\n",
"for song in song_names:\n",
" cc_tempos.append(album[song][0])\n",
" essentia_tempos.append(album[song][1])\n",
"\n",
"#these are my own tempo guesses, estimated using tap tempo software (TapNTune)\n",
"human_tempos = [90.0, 130.0, 105.0, 90.0, 74.0, 75.0, 65.0, 70.0, 80.0, 70.0, 65.0]\n",
"\n",
"ind = arange(len(song_names))\n",
"\n",
"\n",
"#create scatter plot\n",
"pyplot.scatter(ind, human_tempos, marker='o', s=120, color='k', label='Human Estimation BPMs')\n",
"pyplot.scatter(ind, cc_tempos, marker='D', s=60, color='m', label='Auto-correlation BPMs')\n",
"pyplot.scatter(ind, essentia_tempos, marker='s', color='y', s=60, label='RhythmExtractor2013 BPMs')\n",
"\n",
"\n",
"#set up x axis labels\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"xticks(ind, [re.sub('^(\\d\\s*)+(The Dead Texan - )*', '', x) for x in xnames])\n",
"gca().set_axisbelow(True)\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Tempo Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm to Human Tempo Estimation\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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2TZm2Nryudri+6qp/bftv165dYWpqio0bN6KiogKxsbE4efIkfHx8uLgIIaSp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\nbNy4ETc3N5ycnOzXH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um++uor+9fly5dn7969xZ7X5Ua/QoUK/Pbbb7Ro0YLXX38dV1dX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\nD+q9997Ts88+azoaAACAFRj0APC6qqoq/eMf/1DXrl09jZZbb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"text": [
"<matplotlib.figure.Figure at 0x12eb06350>"
]
}
],
"prompt_number": 312
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, cc_tempos)], color='m', lw=3, label=\"Auto-correlation 'Error'\")\n",
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, essentia_tempos)], color='y', lw=3, label=\"RhythmExtractor2013 'Error'\")\n",
"\n",
"#set up x axis labels\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"xticks(ind, [re.sub('^(\\d\\s*)+(The Dead Texan - )*', '', x) for x in xnames])\n",
"gca().set_axisbelow(True)\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Difference From BPM Human Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9PXHhwgXuceHl2rRpAzs7O6xZswb5+fn45ZdfEBkZCRcXF26c/Px87oEWFf/P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oH4+Fkwmy9HWJghoHEQ0bnhPR+RstrdeHnixIn417/+hX79+mHBggVwu90AAIvFgscffxwLFy6E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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x12e7a2fd0>"
]
}
],
"prompt_number": 313
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#we'll plot them by album, starting with The Dead Texan\n",
"cc_tempos = []\n",
"essentia_tempos = []\n",
"artist_name = 'Aphex Twin'\n",
"album_name = 'Richard D. James Album'\n",
"album = albums[album_name]\n",
"song_names = album.keys()\n",
"for song in song_names:\n",
" cc_tempos.append(album[song][0])\n",
" essentia_tempos.append(album[song][1])\n",
"\n",
"#these are my own tempo guesses, estimated using tap tempo software (TapNTune)\n",
"human_tempos = [170.0, 140.0, 170.0, 130.0, 170.0, 166.0, 136.0, 166.0, 166.0, 130.0, 166.0, 170.0, 170.0, 90.0, 160.0]\n",
"#print len(cc_tempos), len(essentia_tempos), len(human_tempos)\n",
"ind = arange(len(song_names))\n",
"\n",
"\n",
"#create scatter plot\n",
"pyplot.scatter(ind, human_tempos, marker='o', s=120, color='k', label='Human Estimation BPMs')\n",
"pyplot.scatter(ind, cc_tempos, marker='D', s=60, color='m', label='Auto-correlation BPMs')\n",
"pyplot.scatter(ind, essentia_tempos, marker='s', color='y', s=60, label='RhythmExtractor2013 BPMs')\n",
"\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Tempo Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm to Human Tempo Estimation\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2vL52uKHqK39l+2/37t2hp6eH9evXo6KiAjExMYiIiIC3tzcXFyGENDdK9DST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\n7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"text": [
"<matplotlib.figure.Figure at 0x12dc73e50>"
]
}
],
"prompt_number": 316
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, cc_tempos)], color='m', lw=3, label=\"Auto-correlation 'Error'\")\n",
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, essentia_tempos)], color='y', lw=3, label=\"RhythmExtractor2013 'Error'\")\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Difference From BPM Human Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Y7nXh1dq0aQNnZ2cEBgaiuLgYv//+O27cuIERI0ZwyxQXF3MvtJD9nzGGzZs3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\n7dsHpVKJ7OxsLF68GAkJCdw+0dFbEBa2njpoEUJcnshPBPlCOTq+tszmO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"text": [
"<matplotlib.figure.Figure at 0x12e808e50>"
]
}
],
"prompt_number": 317
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#we'll plot them by album, starting with The Dead Texan\n",
"cc_tempos = []\n",
"essentia_tempos = []\n",
"artist_name = 'The White Stripes'\n",
"album_name = 'White Blood Cells'\n",
"album = albums[album_name]\n",
"song_names = album.keys()\n",
"for song in song_names:\n",
" cc_tempos.append(album[song][0])\n",
" essentia_tempos.append(album[song][1])\n",
"\n",
"#these are my own tempo guesses, estimated using tap tempo software (TapNTune)\n",
"human_tempos = [80.0, 192.0, 78.0, 196.0, 90.0, 170.0, 111.0, 80.0, 97.0, 90.0, 144.0, 60.0, 85.0, 132.0, 60.0, 180.0]\n",
" \n",
"#print len(cc_tempos), len(essentia_tempos), len(human_tempos)\n",
"ind = arange(len(song_names))\n",
"\n",
"\n",
"#create scatter plot\n",
"pyplot.scatter(ind, human_tempos, marker='o', s=120, color='k', label='Human Estimation BPMs')\n",
"pyplot.scatter(ind, cc_tempos, marker='D', s=60, color='m', label='Auto-correlation BPMs')\n",
"pyplot.scatter(ind, essentia_tempos, marker='s', color='y', s=60, label='RhythmExtractor2013 BPMs')\n",
"\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Tempo Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm to Human Tempo Estimation\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[80.0, 192.0, 78.0, 196.0, 90.0, 170.0, 111.0, 80.0, 97.0, 90.0, 144.0, 60.0, 85.0, 132.0, 60.0, 180.0]\n",
"16 16 16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/Uqdtk6WqDa+rHa6vuspf1fHr7OwMgUCAzZs3o6ysDFFRUTh16hTGjx/PxUUI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\n/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"text": [
"<matplotlib.figure.Figure at 0x12e505b10>"
]
}
],
"prompt_number": 323
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, cc_tempos)], color='m', lw=3, label=\"Auto-correlation 'Error'\")\n",
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, essentia_tempos)], color='y', lw=3, label=\"RhythmExtractor2013 'Error'\")\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Difference From BPM Human Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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4jQ4dOsDZ2RlLly5FSUkJfvvtN9y8eRPe3t7cPCUlJdwLLeS/M8awefNm5OXl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\nTW3Z9AlFMP9LrX20FX0f6YKDL3JYCamo6OfHXQXJZjNTVfU8W7YksX//7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"text": [
"<matplotlib.figure.Figure at 0x12eafcb90>"
]
}
],
"prompt_number": 324
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#we'll plot them by album, starting with The Dead Texan\n",
"cc_tempos = []\n",
"essentia_tempos = []\n",
"artist_name = 'fononaut'\n",
"album_name = 'ripples'\n",
"album = albums[album_name]\n",
"song_names = album.keys()\n",
"for song in song_names:\n",
" cc_tempos.append(album[song][0])\n",
" essentia_tempos.append(album[song][1])\n",
"\n",
"#in this case I had ground truth, it's my music\n",
"human_tempos = [120.0, 140.0, 125.0, 110.0, 160.0, 140.0, 90.0, 125.0, 115.0, 110.0, 115.0, 135.0, 90.0]\n",
" \n",
"#print len(cc_tempos), len(essentia_tempos), len(human_tempos)\n",
"ind = arange(len(song_names))\n",
"\n",
"\n",
"#create scatter plot\n",
"pyplot.scatter(ind, human_tempos, marker='o', s=120, color='k', label='Human Estimation BPMs')\n",
"pyplot.scatter(ind, cc_tempos, marker='D', s=60, color='m', label='Auto-correlation BPMs')\n",
"pyplot.scatter(ind, essentia_tempos, marker='s', color='y', s=60, label='RhythmExtractor2013 BPMs')\n",
"\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Tempo Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm to Human Tempo Estimation\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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mT10b3lA73FgNlb+6/bdv374wMjLC+vXrUVlZiZiYGBw7dgw+Pj5cXIQQ0too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"text": [
"<matplotlib.figure.Figure at 0x12ea98e50>"
]
}
],
"prompt_number": 325
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, cc_tempos)], color='m', lw=3, label=\"Auto-correlation 'Error'\")\n",
"pyplot.plot(ind, [abs(x - y) for (x, y) in zip(human_tempos, essentia_tempos)], color='y', lw=3, label=\"RhythmExtractor2013 'Error'\")\n",
"\n",
"#set up x axis labels\n",
"gca().set_axisbelow(True)\n",
"xnames = sort([re.sub('^(\\d-)*', '', song_name, ).split('.')[0] for song_name in song_names])\n",
"#xticks(ind, [re.sub('^(\\d*\\s*)', '', x) for x in xnames]) #CAN'T FIGURE OUT WHY THIS LINE IS PREVENTING MY PLOT FROM SHOWING\n",
"width = 0.8\n",
"grid()\n",
"\n",
"#moving legend so it doesn't obscure the plot\n",
"legend(loc='upper right', bbox_to_anchor=(1.25, 1.0))\n",
"xticks(rotation='vertical')\n",
"title(\"Difference From BPM Human Estimation: Comparison of Auto-correlation and Essentia's RhythmExtractor2013 Algotrithm\\nArtist: {} | Album: {}\".format(artist_name, album_name))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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dO8Pd3R2hoaF4+vQpfvnlF1y/fh1jxozhwjx9+pSb0EL+f8YYNm7ciKKiIjDG\nkJSUhPXr13O9GRuKiorClClTcP36da6OPH/+PJKTkxUmkADqekL6+PggJCQET548wc2bNxETE8PV\nl++9957aOk1dHaOKJp8LCCGkvaBGntdY/cxYMpkMYWFhmDt3rkKX7IZTbDf1a0d0dDQqKyvh4uIC\nExMTjB07lns4VjZd94oVK+Do6AgPDw+IRCIMHToUqampzYpv1apV6N69O958802Ymppi4cKFqK2t\nhY2NDfbv34/ly5fDwsICMpkMq1evbnGPkYZxDxkyBEuXLsWYMWNgbW2Ne/fuNfmrXsO8U/cLU/0s\nHQKBAC4uLpBKpVi3bp3a4yvb5uLiojDNfUt/oWqYzn//+984ePAgJBIJ4uLi8I9//ENl3E3Ft2rV\nKsTFxUEoFGLatGnw9fVVW76ayrOdO3dyeVY/m8zjx49RUlKCadOmwcTEBPb29jAzM8NXX30F4Nm0\nrxKJROkDqbI4VS0LBAKsXbsW48aNg4mJCbZv364wM4ezszP8/PzQqVMnmJiYcL2g6vfv0qULYmNj\nERgYCHNzcxw+fBgHDx6Etra2ynOWT4tAIOBmSmlIIpHg999/h46ODvr27QuhUIh33nkHYrEYjo6O\nMDExwaFDh7B69WqYmZlh1apVOHTokMKrmk2V34bL3t7e6NWrF3r27IkRI0Zg8uTJAIDg4GBcvnwZ\nIpEII0eOxJgxY1pULo8fPw5XV1cIBALMnj0bO3bsgJ6e3nPnn7zJkyfD398fAwcORKdOnWBoaNjs\n+y86OhozZsyAhYUF9yeVSjF9+nRuxrulS5fizp07kEgkCAkJUXgdxdDQEEFBQejfvz8kEgmSkpKa\nTE9Dc+bMwbhx4zBs2DCIRCJMnToVT58+bfF1Vrbcq1cvbN68GTNnzoSJiQmcnJwQHR2tNE+ausdD\nQkIQEBAAiUSC3bt3K1wTXV1dHDx4EEePHoW5uTlmzpyJmJgYdO7cmUtXc+ubiRMnws7ODh06dICr\nqys8PT2bXZ7NzMywa9cufP311zAzM0NaWpra3q2trYtiY2PRsWNHiEQibNq0Cdu2bWtxfjc8l6bq\nnKbyRd6lS5fg4eHBzTi0du3aRg0FDfOu3vvvvw9LS0uVU2o3zH99fX34+PggPT1doV6WvzdMTExw\n8eLFFtXRyuJSFr5+xrf6v/ofqwICAvCf//wHVlZWeOuttzBlyhR8/PHHAOpexevWrRssLS2518GU\nxbV+/Xp3dE2WAAAgAElEQVQsWbIEQqEQS5cuVeiRJZPJcOTIEaxevRqmpqbo2bMnrl27BqDxZ5WO\njk6L74/FixejoKAAb775JnduM2bM4Lbv2LEDly5dgomJCYKCgrBnzx6Ympoq5L9QKASPx4OzszPX\nU4cxhn379sHBwQEikQhTpkzBsmXLlH6mZmdn4+TJk5g1a5ZCHfnGG2/g3XffVZgVtN4PP/yA4uJi\nWFpaIiAgAH5+ftDV1QVQ95qUujrtyy+/xO7du2FiYoJZs2Y1OrayMtDUc4Gy/G3Jsw8hhLyOeKwl\nP68RQghpd/h8PtLS0po9vgQhhMhbunQpbt++rfRLP/l7W7BgAR4+fNjkuFCEEEI0h3ryEEIIIYSQ\nVikoKMDWrVsxbdq0tk4KeQXcunUL165d414F27p1a6NexIQQQl4sauQhhJC/OeqqTghpjc2bN0Mm\nk+G9995r1aQPpP0pLS3FmDFjYGxsDF9fX8ybNw+jRo1q62QRQsjfCr2uRQghhBBCCCGEENIOUE8e\nQgghhBBCCCGEkHaAGnkIIYQ0m6urK86cOfNCjv3xxx/DxMQEHh4eL+T4r4LIyEhuhp/WmDRpEhYv\nXgwASEhIgK2traaSpnHbtm3D//3f/2nkWF5eXtiyZYtGjkUIIYQQ0p5RIw8hhPyNeHl5wcTEBJWV\nlU2GlW9QqHf9+nUMHDhQ7X7p6eng8/mora1tdrrOnj2L3377DTk5OUhMTGz2fq+SyMhIDBgwQG2Y\n5o5/pOo6qZtK/lUzfvx4HD9+XCPHep3OmxBCCCGkLVEjDyGE/E2kp6cjKSkJFhYWOHDggNqwNTU1\nzx1fS4Z8y8jIgL29PfT19Z873tddU9fpdRhKTxPlhxBCCCGEtBw18hBCyN9EdHQ03nnnHfj7+yMq\nKkph26RJk/DZZ59h+PDhMDY2xtatWxEXF4fw8HAIBAJ4e3sDAOzt7XHy5EkAQFJSEnr37g2RSARL\nS0vMmzcPALiePmKxGAKBABcvXlSbri1btmDq1Km4cOECBAIBQkNDAdTN3OPk5ARTU1N4e3sjNzeX\n24fP52Pjxo3o3LkzJBIJZs6cyW1jjGHZsmWwt7eHVCpFQEAASkpKADzrZRQdHQ07OzuYm5tj+fLl\n3L5JSUnw9PSERCKBtbU1AgMDUVVVpbCvfA+l+teIbt68ienTp3PnYGJi0oIro0jddVImLCwM5ubm\n6NixI+Li4hqlrV7DnkZ8Ph8bNmyAk5MThEIhlixZgjt37sDT0xNisRi+vr7cuTclMjIS/fv3x5w5\nc2BmZoaQkBCl8a1btw4ODg4wNzfH/PnzuQar+v0DAwMhFovRtWtXrpwps3XrVri4uMDExATvvvsu\nMjMzuW2zZ8+GVCqFSCSCm5sb/vzzz2adAyGEEEJIe0CNPIQQ8jcRHR2NDz/8EOPGjcPx48fx8OFD\nhe3bt2/H4sWLUVZWhokTJ2L8+PFYsGABSktLsX//fgCKrxt9+eWXmD17NoqLi3H37l2MHTsWQN2r\nVwBQXFyM0tJS9O3bF5mZmZBIJMjKymqUrilTpuDHH3+Ep6cnSktLERwcjJMnT2LRokXYtWsXcnNz\nYWdnB19fX4X9Dh8+jEuXLuHatWv4+eefuVeDIiIiEBUVhYSEBNy9exdlZWUKjUAAcP78eaSmpiI+\nPh7ffvstbt26BQDQ1tbGv//9b+Tn5+PChQuIj4/H+vXrVeZp/WtEzs7O2LhxI3cOBQUFzbomyjR1\nneTl5eUhPz8fOTk5iIqKwrRp03D79m2FtKlz4sQJXLlyBYmJiVixYgWmTp2K7du3IzMzE3/88Qe2\nb9/OhZVIJPj9999VHispKQkODg54+PAhgoKClIbZt28f/ve//+Hy5cvYv38/tm7dqrC/o6Mj8vPz\nERoaCh8fHxQVFTU6xv79+xEWFoa9e/fi8ePHGDBgAPz8/AAAx48fx9mzZ3H79m0UFxdj165dMDU1\nVZsHhBBCCCHtCTXyEELI38C5c+eQnZ2NUaNGwcnJCS4uLgq9Png8HkaPHg1PT08AgJ6eHgD1rwbp\n6uri9u3bePz4MQwNDdG3b1+V+8hkMhQWFsLGxkbpsRrus23bNkyZMgXu7u7Q1dVFWFgYLly4oNBj\n4+uvv4ZQKIStrS0GDRqE5ORkbt+5c+fC3t4eRkZGCAsLw44dOxR64AQHB0NPTw9ubm7o0aMHrl69\nCgB444030KdPH/D5fNjZ2WHatGk4ffq06oxVcw6t0dR1Umbp0qXQ0dHBwIED8f7772Pnzp3Njm/+\n/PkwNjaGi4sLunfvjvfeew/29vYQCoV47733cOXKFS5sYWEh+vXrp/JY1tbW+Pzzz8Hn81W+drdg\nwQKIxWLY2tpi1qxZCo1IFhYW+PLLL6GlpYVx48ahS5cuOHToUKNj/Pjjj1i4cCG6dOkCPp+PhQsX\n4urVq8jMzISuri5KS0tx48YN1NbWokuXLrC0tGx2fhBCCCGEvO6okYcQQv4GoqKiMGzYMAgEAgDA\n2LFjG70K1NKZmrZs2YLU1FR07doVffr0weHDhzWW3vreO/WMjIxgamqK7Oxsbp38l3dDQ0OUlZUp\n3Vcmk6G6uhoPHjxQuW95eTkAIDU1FSNGjICVlRVEIhGCgoKQn5+vsfNqSnOukzyJRAIDAwNu2c7O\nTuG1tqZIpVLufwMDg0bL9XnaHM0pP/JhZDIZcnJyuOUOHToohFV1LhkZGfjyyy8hkUggkUi4njo5\nOTkYNGgQZs6cic8//xxSqRSffvopSktLm30OhBBCCCGvO2rkIYSQdu7Jkyf4+eefcfLkSVhZWcHK\nygqrV69GcnIyrl27pnK/pl71cXR0RFxcHB49eoQFCxbggw8+wJMnTzQyC5K1tTXS09O55fLycuTn\n5zdqCGjOvpmZmdDW1lZowFDls88+g4uLC9LS0lBcXIzvvvuO6wFkZGQEAPjrr7+48Hl5edz/z3ve\nzb1O8vEUFhYqpCcjIwPW1tZceusbrxqm9UVozvnL98TKzMxUuJ7yDXiA4rnIk8lk2LRpEwoLC7m/\n8vJyeHh4AAACAwNx6dIlpKSkIDU1FStXrmztKRFCCCGEvHaokYcQQtq5ffv2QVtbGzdu3EBycjKS\nk5Nx48YNDBgwANHR0QCUv2oklUpx9+5dlceNjY3Fo0ePAAAikQg8Hg98Ph/m5ubg8/m4c+dOq9Ps\n5+eHiIgIJCcno6KiAosWLYKHhwdkMpnS8Iwx7hz8/PywZs0apKeno6ysDIsWLYKvry/4/KY/8srK\nyiAQCGBoaIibN29iw4YN3DZzc3N06NABMTExqKmpwdatWxXOUSqVIisrq9mDFTfU3OvU8FoFBwej\nqqoKZ8+exeHDh7mxkdzd3fHLL7/gyZMnSEtLUxiEWRX5Y7+IWbxWrVqFoqIi3L9/H2vXrsWHH37I\nbXv48CHWrl2Lqqoq7Nq1Czdv3sTw4cMbHWP69OlYvnw5UlJSAIAbewcALl26hIsXL6KqqgqGhobQ\n19eHlpaWxs+DEEIIIeRVRY08hBDSzkVHR2Py5MmwsbGBhYUFLCwsIJVKMXPmTMTFxaGmpkbpIL1T\npkxBSkoKJBIJfHx8Gh33+PHjcHV1hUAgwOzZs7Fjxw7o6enB0NAQQUFB6N+/PyQSCZKSkpCZmQmB\nQKB04GWg8SDBQ4YMwdKlSzFmzBhYW1vj3r172LFjh0J4VftPnjwZ/v7+GDhwIDp16gRDQ0OsW7dO\n5b7yVq1ahbi4OAiFQkybNg2+vr4K4Tdv3oyVK1fCzMwMKSkp6N+/v0Kau3XrBktLS1hYWKiMQ5XW\nXCcrKytuJjB/f39uxjGgbpYpXV1dSKVSfPzxx5gwYYLCvsryoeF2+WWBQIDz588rTbuy8qNsnbe3\nN3r16oWePXtixIgRmDJlCretb9++uH37NszNzbF48WLs2bMHEomkUVyjR4/GggUL4OvrC5FIhO7d\nu3ODbpeUlGDatGkwMTGBvb09zMzM8NVXXylNMyGEEEJIe8RjL+KnOkIIIYQ0Uj/rV0RERFsn5aXj\n8/lIS0tDp06dGm2LjIzEli1buJnZCCGEEEJI66jtyTN58mRIpVJ0796dW/fVV1+ha9eu6NGjB3x8\nfFBcXMxtCwsLg5OTE5ydnXHixIkXl2pCCCHkNUS/qxBCCCGEkBdJbSPPxx9/jGPHjimsGzZsGP78\n808kJyejc+fOCAsLAwCkpKRg586dSElJwbFjxzBjxgyF6WoJIYSQvztlrzD9Xag7779zvhBCCCGE\naFKTr2ulp6dj5MiR+OOPPxpt27t3L/bs2YPY2FiEhYWBz+djwYIFAIB3330XISEh3GwXhBBCCCGE\nEEIIIeTFea6Bl7du3crNfJGTkwMbGxtum42NTaPpUAkhhBBCCCGEEELIi6Hd2h2/++476Orq4qOP\nPlIZRtlMG4QQQgghhBBC2i8ag46QttOqRp7IyEgcOXIE8fHx3LoOHTrg/v373HJWVhY6dOjQaF+6\n4YkmhYSEICQkpK2TQdoRKlNE06hMEU2jMkU0icoT0TT6YZ+QttXi17WOHTuGlStXYv/+/dDX1+fW\njxo1Cjt27EBlZSXu3buH27dvo0+fPhpNLCENpaent3USSDtDZYpoGpUpomlUpogmUXkihJD2RW1P\nHj8/P5w+fRqPHz+Gra0tQkNDERYWhsrKSgwdOhQA4OnpifXr18PFxQXjxo2Di4sLtLW1sX79emrF\nJYQQQgghhBBCCHlJmpxdS6OR8Xj0uhbRqISEBHh5ebV1Mkg7QmWKaBqVKaJpVKaIJlF5IppG3/kI\naVvUyEMIIYS8INVF1Uhfmg49Gz3YBNqAp009XAkhhLRv9J2PkLb1XFOoE9LWEhIS2joJpJ2hMkU0\nKW1uGrL+mYU7c+7gD+8/UFNW09ZJIu0A1VNEk6g8kRfJxMQEPB6P/uiP/jT4Z2Jiova+a/UU6oQQ\nQghRrbq4Gg+3P+SWC44U4MrbV9D9UHfoWem1YcoIIYSQl6OwsJB69RCiYTye+p7h9LoWIYQQ8gLk\nbM5B6rTURuv17fTR/Uh3GLkYtUGqCCGEkBdL/jsfff8jRPOauq/odS1CCCHkBcjbmsf9LxkmAU+r\n7leXpxlPcaX/FRSdLmqrpBFCCCGEkHaKGnnIa43eIyeaRmWKaEJ5SjlKEkvqFrQBl20ucD3oCi1j\nLQB1AzInD0vGg7gHbZhK8rqieopoEpUnQghpX6iRhxBCCNGwvIhnvXjQD9Ax04Hpe6ZwP+MOXUtd\nAACrZLgx/gYyv8+kruyEEEIIeam8vLywZcuWVu2bmZkJgUBAzy+vKGrkIa81Ly+vtk4CaWeoTJHn\nVVtVi7zoZ4083Rd05/4X9BTgjcQ3YOhiyK27u/AuUqenglXTgxJpHqqniCZReSKk7j4wMTFBZWVl\ni/bj8/m4e/fuC0rVi1U/U1Nz2Nvb4+TJk9yyTCZDaWlps/dvCT7/WROFl5cXDAwMIBAIuD9vb2+N\nxykvJCQEoaGhLzSOF40aeQghhBANKjhagKqHVQAAXWtdmAxTnOZS304fb5x/A+JBYm5d7qZcmmKd\nEEIIaQPp6elISkqChYUFDhw40OL9X4XeLLW1tQrL1dXVGj1+Ww2gzePx8J///AelpaXc3/79+5WG\nVXbONTUte66qrq5+IQ1XLxs18pDXGr1HTjSNyhR5XvIDLlsGWOL0udONwmiLteF2zA3SCVJuXf0U\n6xW5FS8lneT1RfUU0SQqT+TvLjo6Gu+88w78/f0RFRWlsK3hK02RkZEYMGAAAGDgwIEAgB49ekAg\nEGDXrl0AgM2bN8PJyQmmpqbw9vZGbm6u2vg3b94MFxcXCIVCdOvWDVeuXAEA3LhxA15eXpBIJHB1\ndcXBgwe5fSZNmoTPPvsMw4cPh7GxMU6dOgV7e3uEh4fDzc0NAoEAtbW1SExMRL9+/SCRSODu7o7T\npxs/kwDAnTt3MHjwYJiZmcHc3BwTJkxAcXExAMDf3x+ZmZkYOXIkBAIBVq1ahfT0dPD5fK5xKScn\nB6NGjYKpqSmcnJzw008/cccOCQnBuHHjEBAQAKFQCFdXV/zvf/9TmR/NbWRJSEiAjY0NwsPDYWVl\nhcmTJyM0NBQffPAB/P39IRKJEBUV1WTaGoZvSRpeVdptnQBCCCGkvajMq0T+oXxu2XKSJTJzMpWG\n5evy4RztDH07fWR8lwEAKLtchiueV2iKdUIIIe1eAi9Bo8fzYl6t2i86OhqhoaHo06cPQkND8fDh\nQ1hYWABQ/0rTmTNnwOfzce3aNXTq1AkAcPLkSSxatAi//vorXFxcMG/ePPj6+qpsXNm1axdCQ0Ox\nf/9+9OrVC3fu3IGOjg6qqqowcuRIfPLJJ/jtt99w9uxZeHt749KlS+jcuTMAYPv27Th69Cg8PT1R\nUVEBHo+HHTt24OjRozAzM0Nubi5GjBiB2NhYvPvuu/jtt98wZswY3Lp1C6ampo3SEhQUhIEDB6K4\nuBhjxoxBSEgI1qxZg5iYGJw7dw5btmzB4MGDAdT1fpLn6+sLNzc37N69Gzdu3MDQoUPh4OCAQYMG\nAQAOHjyIvXv3IjIyEkFBQZg5cyYuXLigNE8a9r5R14PowYMHKCwsRGZmJmpqavD999/jwIED2L17\nN2JiYvD06VMMGzZMbdoahtfX11cZ3+uCevKQ1xq9R040jcoUeR4PYh+A1dQ9jIjeEsGws6HaMsXj\n8dBxWUd03tSZplgnzUb1FNEkKk/k7+zcuXPIzs7GqFGj4OTkBBcXF8TFxbX6eNu2bcOUKVPg7u4O\nXV1dhIWF4cKFC8jMVP6Dz08//YQFCxagV69eAAAHBwfIZDIkJiaivLwcX3/9NbS1tTFo0CCMGDEC\n27dv5/YdPXo0PD09AQB6enoAgC+++AIdOnSAnp4eYmNjMXz4cLz77rsAgHfeeQe9e/fG4cOHG6XD\nwcEBQ4YMgY6ODszMzDB79myVDVMN3b9/H7///jtWrFgBXV1d9OjRA5988gmio6O5MAMGDMC7774L\nHo+HCRMmIDk5uVnHZozhiy++gEQi4f6Cg4O57Xw+H6GhodDR0eEaZ/r164dRo0YBAB49etRk2uTD\nt4cGHoAaeQghhBCNYIwhN+JZl2zLyZbN3td6qjVNsU4IIYS8ZFFRURg2bBgEAgEAYOzYsY1e2WqJ\n3Nxc2NnZcctGRkYwNTVFdnY2zp49yw0e3L173aQMWVlZcHBwaHScnJwc2NraKqyzs7NDTk4OgLof\niRpuB6CwLiMjA7t27VJoIDl//jzy8vIa7ffgwQP4+vrCxsYGIpEI/v7+yM/PbxROmZycHJiYmMDI\n6FkPZJlMhuzsbG5ZKn32erqhoSGePn3aaBwhZXg8HtatW4fCwkLuT35QZHNzc+jq6irsY2Nj06K0\nyYdvL+h1LfJaS0hIoF+giEZRmSKtVZpUir9S/gIAaBlpwWJsXVfv5pap+inW/xj+ByrzKrkp1isy\nK2C7wPa1fz+caA7VU0STqDyRttLa16s05cmTJ/j5559RW1sLKysrAEBFRQWKiopw7do1uLm5wcjI\nCOXl5dw+yhpI5FlbWyu8ylReXo78/Hx06NCBm5FKnq2tLdLS0pQe5/79+2CMcZ//GRkZcHZ2Vhu/\n/LOCTCaDv78/Nm3apHYfAFi0aBG0tLRw/fp1iMVi7Nu3D4GBgUqPqyytBQUFKCsrg7GxMYC6KdZf\nRuNJw3Q1fL2uOWlrj89X1JOHEEII0YDcrc968ZiPM+d65bQETbFOCCGEvBz79u2DtrY2bty4geTk\nZCQnJ+PGjRsYMGAA9zqPu7s7fvnlFzx58gRpaWkKgzADdT1U7ty5wy37+fkhIiICycnJqKiowKJF\ni+Dh4QGZTKY0DZ988glWrVqFy5cvgzGGtLQ0ZGZmwsPDA4aGhggPD0dVVRUSEhJw6NAh+Pr6Amje\njF4TJkzAwYMHceLECdTU1ODp06dISEhQ6MVSr6ysDEZGRhAKhcjOzsbKlSvVnqc8W1tb9OvXDwsX\nLkRFRQWuXbuGrVu3YsKECU2msTlaMqtXw7AvOm2vKmrkIa81+uWJaBqVKdIaNX/V4OH2h9yy1WQr\n7v+WlimaYp00heopoklUnsjfVXR0NCZPngwbGxtYWFjAwsICUqkUM2fORFxcHGprazF79mzo6upC\nKpXi448/xoQJExR6foSEhCAgIAASiQS7d+/GkCFDsHTpUowZMwbW1ta4d+8eduzYoTINH3zwAYKC\ngvDRRx9BKBTCx8cHhYWF0NHRwcGDB3H06FGYm5tj5syZiImJ4QZdVjcgdD0bGxvs378fy5cvh4WF\nBWQyGVavXq200SQ4OBiXL1+GSCTCyJEjMWbMGIXjL1y4EMuWLYNEIsE///lPLg31tm/fjvT0dFhb\nW8PHxwfffvstN0izsrS2pPfMzJkzudfcBAIB3nzzTZXHURZXS9PWHvDYS5zwnsfjtagljhBCCHkd\n5MXk4ebEmwAAAycD9LnV57kfGmora3Fryi08iH02Lo/xG8bofqg79Kz0nuvYhBBCyIsi/52Pvv8R\nonlN3VfUk4e81hISEto6CaSdoTJFWiMv4tk7+laTrRQaeFpbpuqnWLcLejaAY/0U6+Up5Wr2JO0d\n1VNEk6g8EUJI+0KNPIQQQshzeHL3CYpO/f/pzvmAdKJU/Q4tQFOsE0IIIYSQlqDXtQghhJDncG/J\nPWQszQAAmAw3gdthtxcST/7RfKSMS+HG5eHp8uAc4QzpR5prVCKEEEKeF72uRciLRa9rEUIIIS8I\nq2HIi1R8VetFqZ9iXddSty7u/z/Feub3mfQATQghhBBCAFAjD3nN0XvkRNOoTJGWKIwvRMX9CgCA\njpkOTEeaNgqjyTJFU6wTgOopollUngghpH2hRh5CCCGkleQHXJZOkIKv++I/VmmKdUIIIYQQogqN\nyUMIIYS0QlVBFS5YX0BtRS0AoPe13jDubvzS4qcp1gkhhLyKaEweQl4sGpOHEEIIeQEebn/INfAI\negleagMPQFOsE0IIIYSQxqiRh7zW6D1yomlUpkhz5W7N5f63nGypMtyLLFM0xfrfE9VTRJOoPBGi\n2qRJk7B48WKNHCs9PR18Ph+1tbUaOR4hqlAjDyGEENJCZcllKLtcBgDg6/Fh4WfRpumxnmoN14Ou\n0DLWAgBUF1UjeVgyHsQ9aGJPQggh5O/L3t4ehoaGEAgEsLS0hL+/P0pKSrjtPB4PPB6v1cc+efKk\nppLaiJeXFwwMDCAQCLg/b2/vJvd70Y1NkZGRGDBgwHMd4/Dhw3jrrbcgkUhgZWWFqVOnoqysjNte\nUVGByZMnQyQSwcrKCmvWrFHYf9q0aXB2doaWlhaioqIUtu3YsQPOzs4QiUQwMzODj48PcnJyVKaF\nz3/WZNLaPH8eISEhCA0NbdE+1MhDXmteXl5tnQTSzlCZIs0hP+CymY8ZdCQ6KsO+rDJFU6z/fVA9\nRTSJyhP5O+PxeDh06BBKS0uRnJyMP/74A8uWLdPYsV/k5y+Px8N//vMflJaWcn/79+9v9v7q0lZT\n03YTOVRXV6OkpARLlixBbm4ubty4gezsbHz11VdcmJCQENy5cweZmZk4deoUwsPDcfz4cW67u7s7\n1q9fjzfeeKNRI13//v1x5swZFBcXIyMjA4aGhpgzZ06z0taSPK+urm60rqX5Wl1d3apGRmrkIYQQ\nQlqgtqJWYbBjq8lWbZgaRTTFOiGEENI6UqkUw4YNw59//qmwvqCgACNGjIBQKISHhwfu3r0LAPj8\n888xb948hbCjRo3Cv/71L0ycOBGZmZkYOXIkBAIBVq1axYWJjY2FnZ0dzM3NsXz5cm59SEgIxo4d\nC39/fwiFQri5ueH27dsICwuDVCqFnZ0dfv3112ady4oVK+Dh4cE1KmzYsAGurq6oqKjAwIEDAQBi\nsRhCoRCJiYmIjIxE//79MWfOHJiZmSE0NBR3797F4MGDYWZmBnNzc0yYMAHFxcVcHPfv34ePjw8s\nLCxgZmaGwMBA3Lx5E9OnT8eFCxcgEAhgYmICACguLsbEiRNhYWEBe3t7fPfdd1wjU8O4v/32W/j5\n+WHYsGHQ19eHWCzG1KlTcf78eS7u6OhoLF68GCKRCM7Ozpg2bRoiIyO57TNmzMDgwYOhr6/fKG9s\nbW1hYVHXA5sxBi0tLVhZqX6Wa24jS0JCAmxsbBAeHg4rKytMnjwZoaGh+OCDD+Dv7w+RSISoqCjk\n5ORg1KhRMDU1hZOTE3766SfuGCEhIY3CtyQN9dQ28kyePBlSqRTdu3fn1hUUFGDo0KHo3Lkzhg0b\nhqKiZ+/8h4WFwcnJCc7Ozjhx4kSLEkJIa9B75ETTqEyRpuQfzEdVfhUAQE+mB/FgsdrwL7tMcVOs\ne9EU6+0V1VNEk6g8kbaSkMDT6F9r1Tc2ZGVl4dixY+jbt6/Cth07diAkJASFhYVwdHREUFAQgLrx\nerZv387t//jxY8THx2P8+PGIjo6GTCbjegnJNwadP38eqampiI+Px7fffotbt25x2w4dOoSJEyei\nsLAQPXv2xNChQwEAOTk5WLx4MT799FOlaW9o/vz50NPTw7Jly3D79m0EBQVh27Zt0NPTw9mzZwHU\nNbyUlJTAw8MDAJCUlAQHBwc8fPgQixYtAmMMQUFBXG+a+/fvIyQkBEBdj5QRI0agY8eOyMjIQHZ2\nNvz8/ODs7IyNGzfC09MTpaWlKCgoAAAEBgaitLQU9+7dw+nTpxEdHY2IiAguvQ3jbuj06dNwdXUF\nABQWFiI3Nxc9evTgtru5uTVqnFPn3LlzXCNXZmYmVqxYoTJsw9436npAPXjwAIWFhcjMzMSmTZvA\nGMOBAwcwduxYFBcX46OPPoKvry9kMhlyc3Oxe/duLFq0CKdOneKOIR9+/PjxCA4OxpIlS5p9bkAT\njTwff/wxjh07prDu+++/x9ChQ5GamoohQ4bg+++/BwCkpKRg586dSElJwbFjxzBjxgwaVIoQQki7\no15xg90AACAASURBVDDg8iRL8Pitf7B8UbTF2nA75gbpeCm3ruBIAa68fQUVuRVtmDJCCCHk1cEY\nw+jRoyEUCiGTyeDg4IBvvvmG287j8eDj44PevXtDS0sL48ePx9WrVwEAb775JkQiEeLj4wHUjfUy\naNAgmJubq40zODgYenp6cHNzQ48ePZCcnMxtGzhwIIYOHQotLS188MEHyM/Px9dffw0tLS18+OGH\nSE9P58YMYozhiy++gEQi4f6Cg4O5dEdHR2Pt2rXw9vbGggULuEYRVY0U1tbW+Pzzz8Hn86Gvrw8H\nBwcMGTIEOjo6MDMzw+zZs3H69GkAdY0yubm5WLlyJQwMDKCnp4d+/fopPX5NTQ127tyJsLAwGBkZ\nwc7ODnPnzkVMTIzKuOX9+uuviI6OxrfffgsA3Ng8IpGICyMUClFaWqo23+W99dZbKCoqQlZWFnR0\ndBReBVNHXZ4DdeP3hIaGQkdHhzuPfv36YdSoUQCAR48e4ffff8eKFSugq6uLHj164JNPPkF0dDR3\nDPnwynoiNYfaRp4BAwZAIpEorDtw4AACAgIAAAEBAdi3bx8AYP/+/fDz84OOjg7s7e3h6OiIpKSk\nViWKkOai98iJplGZIupUZFeg4HgBt2w5SfWsWvXaqkzx9fhwjqEp1tsjqqeIJlF5In9nPB4P+/fv\nR0lJCRISEnDy5ElcunRJIYxU+uwHEwMDA4UBgCdOnIjY2FgAda9h+fv7NxmnpeWzZwdDQ0OF49W/\nRlQfl5mZGfeqjoGBAYBnjRw8Hg/r1q1DYWEh9yc/QK+dnR28vLyQkZGBzz//vMl02draKiw/ePAA\nvr6+sLGxgUgkgr+/P/Lz8wHUvaplZ2enMCixKo8fP0ZVVRXs7J49j8hkMmRnZ6uMu15iYiLGjx+P\nPXv2wNHREQBgbGwMAAoDZBcXF0MgEDSZloasra2xdOlShUYWdZrKc3Nzc+jq6irsY2Njw/2fk5MD\nExMTGBkZcesa5oV8+NbSbukODx484Aq6VCrFgwd14xLk5ORwXb3qEyef2HqTJk2Cvb09gLr3AN3d\n3bkPl/ruorRMy7RMy7RMy6/icscLHYH6Tqo9AYOOBq9U+pQtd1zWERlPM4A1AGrrplj/b9//AksB\nr1ltnz5apmVapmVafr2Xr169yg3hkZ6ejuby8nq1xoobOHAgAgMDsWDBAoXXZ9SZMGECunfvjuTk\nZNy8eROjR4/mtrV2Vi5NOXz4MBITEzFkyBDMmzcPP/74o9p0NVy/aNEiaGlp4fr16xCLxdi3bx8C\nAwMB1DXKZGZmoqamBlpaWmqPY2ZmBh0dHaSnp6Nr164AgMzMTIXGDGVpunLlCry9vREZGYlBgwZx\n6+tn3Lp69SreeecdAEBycjL3OldLVVVVwdDQsOmAzdDwPBrOzmZtbY2CggKUlZVxjVXNyYsWY024\nd+8ec3V15ZbFYrHCdolEwhhjbObMmSw2NpZbP2XKFLZnzx6FsM2IjpAWOXXqVFsngbQzVKaIKrW1\ntSzRMZGdwil2CqdYXkxes/Z7VcrU4yOP2RnjM1z6E3QTWN625p0DebW8KmWKtA9UnoimyX/ne9W/\n/9nb27P4+Hhu+dGjR8zQ0JAlJiYyxhgLCAhg33zzDbf91KlTzMbGRuEY77zzDnNzc2NT/h97dx7f\nRJn/AfwzSZreV9o0ve+LtiltOQRcFERQQRQFYQW1ynr9PHZdf4p47Lq7HrBeqz9X1/UA0QVXvBAQ\ncUEXRU6hV3of9KZN0za9kzTH/P4YmFCpFEqayfF9v16+XjzDTOZbeTqZ+c7zfJ/f/GbE9hkzZrBv\nv/02366vr2cZhmHNZjO/bc6cOex7773HsizLPv300+wtt9zC/92ePXvY+Ph4vm00GlmGYdjW1lb+\n2HfffXfUn0uj0bARERHs119/zXZ1dbGRkZHsrl27WJZl2cHBQVYsFrPV1dX8/hs3bmR/9atfjfiM\n5cuXs3fddRdrNpvZlpYWdtasWfzPbjKZ2MmTJ7OPPPIIOzg4yOp0OvbAgQMsy7Ls119/zcbHx7PD\nw8P8Z91yyy3sDTfcwPb397MNDQ1seno6/3OPdm6VSsWGhYWxW7duHfXnW7t2LXv55ZezWq2WLS8v\nZ8PDw9lvvvmG//vh4WFWp9Oxs2bNYt955x1Wp9OxFouFZVmW3bx5M9vU1MSyLMs2NDSwl112Gfvg\ngw+Oep6fO9f/89H6xs//TVmWZWfPns0+8MADrF6vZ4uLi1mFQsH3wdH2H81Yv1eiC00KKRQKtLdz\nS8e2tbXxQ8qioqLQ3NzM79fS0oKoqKiLz0IRQgghDqD3x17oanUAAHGAGKE3hgoc0YWhJdYJIYSQ\ncwsNDUV+fj5fiPfnIzFObztTfn4+VCrVWVO1Hn/8cTz77LMIDg7GK6+8MuqxP//csc718/YDDzwA\nf39//r9p06YBAO655x4sWbIEV199NWQyGd577z3ceeed0Gq18PHxwZNPPolLL70UMpkMR44cGfXc\nTz/9NAoKChAYGIjFixdj6dKl/D5isRg7duxAbW0tYmNjERMTg61btwIA5s2bh8zMTISHh/O5gtdf\nfx2+vr5ITEzE7NmzsWrVKtxxxx2/+HO/8sor6OrqwurVq/mf7czFoP785z8jKSkJcXFxmDt3Lh57\n7DEsWLCA//v58+fDx8cHhw8fxt133w0fHx++4HR5eTlmzZoFPz8/zJkzBzNnzsQLL7zwi/8uP/dL\n/89/6d/r59s++ugjNDQ0IDIyEjfeeCP+8pe/4IorrvjF/ceDYce4s2toaMDixYuhUqkAcJW6Q0JC\n8Nhjj2H9+vXo6enB+vXrUV5ejpUrV+Lo0aNobW3FlVdeidra2hFBMgxDN5KEEEKcUuUdlWh/n3vJ\nEXlPJFLfShU4ovHRN+pRsrAEQ+VD/LaIuyOQ+kYqGInjFZEmhBDiXM585nOH57/9+/fjlltuQWNj\no9ChEDcx1u/VOUfy3HzzzZg1axaqqqoQExODjRs3Yu3atdizZw9SU1Px3XffYe3atQCAjIwMLF++\nHBkZGbjmmmvw5ptvCj4PkRBCCLEFU78Jmk80fDt89dgFlx0VLbFOCCGE2IbRaMSrr76Ku+66S+hQ\nCOGNOZLHpidzg0wusa99+/bxhd/ILzP1mqD5TIPA2YHwSbFNYTFXRX2KjKZtQxuqflMFAPDN9MVU\n1dTzfpHhqH3KYrCg6jdVUG9W89v88vyg3KmEZ4SngJGRsThqnyLOifoTsTV3GclTUVGBadOmIScn\nB7t37+YL6RIy0cb6vbrg1bUIIc6FZVmULSuDdq8WIm8Rcv6bg4BLAoQOixCn0r6hnf9z+B3hLjFS\n9fQS617xXmh8jhtifnqJdeUuJXwzfMf4BEIIIcR9TZo0acTy54Q4ChrJQ4iL69nXg6K5RXzbQ+6B\nvMN58E70FjAqQpzHUNUQjqYfBQAwEgYzW2ZCqpAKHJVtnXznJGr+pwasmfuOlgRJkLUtC0GXB41x\nJCGEEDKSu4zkIUQoF1WThxDi/E6/oT/NqDFCtVAFY7dRoIgIcS6niy0DQMi1IS6X4AGAyLsikbUj\nC2I/MQDA1GNC8YJiqLeoxziSEEIIIYQ4EkryEKe2b98+oUNwaH1H+qDdq+UaIm56BsCNTCi9oRQW\ng0XA6BwT9SlyJtbEon3TGVO1xlFw2Vn6FC2x7jycpU8R50D9iRBCXAvV5CHEhZ05ikdxswIh14eg\nfHk5AKD3h15Urq7EpH9Ncon6IoRMhO5vujHcNgwAkIZLEXJNiMARTSz/XH/kHc4bscT6icdPQFev\noyXWCSGEXLDg4GC6zyTExoKDg8/591SThxAXNVA8gGM5x/j2tNJp8M30RdOLTTix5gS/Pe6pOCQ8\nkyBEiIQ4vNKlpej8vBMAEPNoDJJeSBI4Ivsw9ZhQekMpevb18NtkC2XI/DiTn9JFCCGEjIae+QgR\nFk3XIsRFNT5vHcUTekMofDO5lXJiHolB5L2R1v2ebUTbhja7x0eIoxvWDKNrexffDr/jwqdqOStJ\nkATZu7OhWKXgt3Xv6kbh5YUwtBkEjIwQQgghhJwLJXmIU6N55KMbqhqC5hMN3457Mo7/M8MwSHk9\nBbJrZPy26nuq0b2n264xOirqU+S0js0dYE3cm8iAmQHwnTS+JcWdtU+dXmL9zOvH6SXWB8sHBYyM\nOGufIo6J+hMhhLgWSvIQ4oKa1jcBp0bJyq6WwX+K/4i/ZyQMMj7OgF+OHwCuuGzZsjIMqAbsHSoh\nDoll2REj3CJWRwgYjXAYhkHCswlIfTsVjJirqaBv1KPw0kL0fN8zxtGEEEIIIcTeqCYPIS5G36DH\nkeQjYM3c71ruj7kIvDRw1H0NrQYUzCiAoYWbfuEZ7Ym8I3nwjPS0W7yEOKL+Y/04Pu04AEDkLcKs\n9lmQBLj3WgVdX3ehfHk5zANmAAAjZZC+MR2KlYoxjiSEEOJO6JmPEGHRSB5CXEzTC018gifo8qBf\nTPAAgGeUJ5RfKSH25wqpGloMUC1SwdRvskushDiqM0fxyG+Su32CB6Al1gkhhBBCnAEleYhTo3nk\nIxlOGtD2nvXhNO6puHPszfHL9kPmZ5n80sgDRQMo/3U5X4vE3VCfImadGR1bOvj2xU7VcqU+dXqJ\ndZ8MH37bicdPoPreare9ZgjBlfoUER71J0IIcS2U5CHEhTS/3Ax2mHvQ8p/uj6B5Qed1nGy+DKlv\npfLt7l3dqHmwht7OE7fUua0Tpl5uNJt3kjcCL/vl0XDuyCvOC3kH8hA0x3p9aXu7DarrVfxULkII\nIYQQIgyqyUOIizB2GnEo7hAsQxYAQNaXWQi9LvSCPqP+qXo0Pmddej3pxSTEPBJj0zgJcXTF84uh\n3asFACQ8mzBidSliZTFYUPWbKqg3q/ltfnl+UO5UwjOC6noRQoi7omc+QoRFI3kIcREtr7bwCR7f\nbF+EXBtywZ8R/0w8wlaG8e26R+vQ8UnHOY4gxLXoG/TQfssleMAAituoqPAvoSXWCSGEEEIcDyV5\niFOjeeQcU48JLa+38O24J+LAiJgL/hyGYZC+IR2Bs63TUypvrUTvwV6bxOkMqE+5t/ZN7cCpl4+y\nBTJ4xXhd9Ge6cp+iJdaF4cp9itgf9SdiSzSChxDhUZKHEBfQ+kYrzH1cLQzvVG/Il8nH/VkiTxGy\ntmXBJ40rrGoxWFB6XSl0tTqbxEqIo2ItLNrfb+fb4avDBYzGuUTeFYmsHVkQ+3Er9Zl6TCheUAz1\nFvUYRxJCCHEVrJlFzf01QodBiNujmjyEODnzoBmH4w7D2GUEAKRvTEf47Rf/cKo7oUPBjAIYNdzn\neid7I+9QHjxCPS76swlxRNrvtCieVwwAkMgkmHVyFkSe9C7kQvQX9kO1UIXh9mF+W+K6RMQ8FgOG\nufDRhYQQQpyDWWdGxaoKdH7RibmYS898hAiI7l4JcXIn3z7JJ3i84rwQtipsjCPOj3eiN5Q7lBB5\ncZcJXa0OpUtKYdFbbPL5hDia9g3WUTyKVQpK8IwDLbFOCCHux6g1omRBCTq/6BQ6FEIIKMlDnJy7\nzyO36C1ofrGZb8c8FgORh+1+rQMuCcCkzZOAUy/gew/0ovL2SrAW131Yc/c+5a5MPSZoPtPw7fA7\nbDdVy936FC2xPvHcrU+RiUX9iVwMfbMeRbOL0Puj+9RvJMTRUZKHECfW/n47htu4aRHSCCki7oiw\n+TnkN8qR9HIS3+74uAP1T9Tb/DyECKnj3x38KDW/HD/45/oLHJFzkwRJkL07G4pV1tXJund1o/Dy\nQhjaDAJGRgghxFYGywa5FRXLrCsqJr2UdI4jCCH2QDV5CHFSFqMFR1OOQt+oBwAkvZyEmIdjJuRc\nLMui9re1aP17K78t9a1URN4TOSHnI8Tejl9yHP1H+wEAyf+XjOgHowWOyDWwLIuGPzSg8blGfptX\nnBeUu5TwzfAVMDJCCCEXo2d/D0qvK4WpxwQAYDwYpL+fDsVKBT3zESIwGslDiJPq2NLBJ3g8Qjwm\nNOHCMAySX01GyOIQflvN/TXo+rprws5JiL0Mlg7yCR5GykCxUjHGEeR80RLrhBDiejRfaFAyv4RP\n8Ij9xMjelU3fn4Q4CEryEKfmrvPIWTOLpnVNfDv6oWiIfcUTek5GzCDjowz4T/HnYyhfXo6BooEJ\nPa+9uWufcmdtG9v4P4deHwqPENuuIEd9ipZYtzXqU8SWqD+RC9H6j1aULSuDxcBNcZYqpMj5PgfB\nVwYLHBkh5DRK8hDihDSfaTBUNQQAEAeIEfVAlF3OK/YVQ7lTCa84LwCAecCMkkUlMLRQjQ3inCzD\nFqg/tCYaIlbbvq4V4YRcE4KcH3IgDZcCANhhFhWrKtC0vomG9RNCiINjWRb1f6hHzX01wKmFVr1T\nvJF7MBf+eVTHjhBHQjV5CHEyLMviWM4xDJZwRe5in4hF4nOJdo1hsGwQhZcWwtTLDdP1zfZF7v5c\nSAIkdo2DkIul+UKDshvLAACeUZ6Y0TiDn1ZEJoa+UY+ShSUYKh/it0XcHYHUN1LBSOj/PSGEOBrW\nxKLqniq0b2jnt/lP84fyKyWkculZ+9MzHyHCopE8hDiZrp1dfIJH5CNC9EP2LxDrm+mLzM8z+Qey\nwZJBlN1UBovRYvdYCLkY7RutN6zht4dTgscOaIl1QghxHuZBM0qXlI5I8MiukSHnu5xREzyEEOFR\nkoc4NXebR86yLJqes9biibwnUrAv2OArgpH2bhrf1v5Hi5r7apz+zY279Sl3ZmgzoHtXN98Ovz18\nQs5Dfeps51pifbh9WMDInAP1KWJL1J/ILzF2GlE8rxhdX1kX2gi/PRxZX1prrBFCHM+4kzzr1q1D\nZmYmlEolVq5cCYPBgO7ubsyfPx+pqalYsGABenpo5QxCbKnnux70HekDwK0CFPPIxCyZfr7C88MR\n/3Q83257tw1N65t++QBCHIj6QzVYM5eUDLwsEN7J3gJH5F5EniKkf5iOuCfj+G0DBQMouboEpn6T\ngJERQgjRN+hRcGkBf98JcCUC0jakQeRB4wQIcWTjqsnT0NCAK664AhUVFfD09MSKFSuwcOFClJWV\nITQ0FGvWrMFf//pXaLVarF+/3noymp9JyEUpmluEnn1c8jTy3kik/iNV4Ii40UWVt1dC/YG1eO2k\nLZOguJmW0SSOi2VZ/DTpJ76Aefr76QjPn5iRPGRsJ985iZr/qeGTbrKFMii/VFKNHkIIEcBA0QBK\nrimxjqxkgJT/SznvhT7omY8QYY0rDRsQEAAPDw8MDQ3BZDJhaGgIkZGR2L59O/Lz8wEA+fn52LZt\nm02DJcSd9R7o5RM8jJhBzBphR/GcxjAM0t5JQ9Bca32Nytsr0bOfRvIRx9V3uM+6Qp2fGPJlcoEj\ncm+Rd0Ui9W1r0rp7Vzdqfuf80z8JIcTZaL/TovAy69RZRsogc2um3VZyJYRcvHEthSOTyfC///u/\niI2Nhbe3N6666irMnz8farUaCgX39l6hUECtVp917O233474+HgAQFBQEHJycjBnzhwA1jnB1Kb2\n+baLiorw0EMPOUw8E9ku/N9CnKa4RYEjjUeARseITyQVoefhHqAeQAO3NHLRtUXA68Cc24SP70La\np7c5SjzUnph24XPW36ewX4dh/0/7J+x8P+9bjvDzO2Q7kZsK0PQ8N+Xz5Jsn4ZPig+iHoh0jPgdq\nv/rqq3T/RG3qT9S2ebvj4w6U31IOnJoxKwmUwPQnE8pCyzAHv3x8UVERX6ajoaEBhBBhjWu6Vl1d\nHRYvXoz9+/cjMDAQN910E5YuXYoHH3wQWq2W308mk6G721rUkobuEVvbt28f/yXjyvoL+nF8ynGu\nwQDTK6bDJ81H2KBGoW/Qo2BGAYbV3Nsfr0Qv5B3KgzRMKnBk589d+pQ7Mw+acTD8IL+SU+7BXATO\nDJyw81GfOn+shUXFygp0fNzBbWCArC+yEHp9qLCBORjqU8SWqD8RAGh5rQW1D9XybWmkFNm7s+Gn\n9Lvgz6JnPkKEJRrPQceOHcOsWbMQEhICiUSCG2+8EYcOHUJ4eDja27nl9dra2hAWFmbTYAn5OXe5\nKTn9ZhsA5MvkDpngAQCveC8odyoh8uEuLfoTepReVwqzznmWRXaXPuXONJ9q+ASPT5oPAmYETOj5\nqE+dP0bEIP39dATMOvVvwgLlK8vRf6xf2MAcDPUpYkvUn9wba2FRt6ZuRILHZ5IP8g7ljSvBQwgR\n3riSPOnp6Th8+DB0Oh1YlsXevXuRkZGBxYsXY9OmTQCATZs2YcmSJTYNlhB3NFg+CM1nGr595ko0\njsh/qj8yPsoATtVL7TvSh4pbKsBa6I0OcQxtG9r4P4evDgfDUHFfRyLyEiFrWxa8Er0AAJYhC1SL\nVdA36QWOjBBCXItl2ILK/Eo0v9jMbwuYFYDcH3PhFeslYGSEkIsxriTP5MmTcdttt2Hq1KnIzs4G\nANx9991Yu3Yt9uzZg9TUVHz33XdYu3atTYMl5OdOzwt2ZU3rrKN4Qq4Ngd9kx3+rEnpdKJJfS+bb\nnZ934sSaEwJGdP7coU+5M12tDr0/9ALgCpgrbp34VeCoT104qVyK7F3ZkARzpQOH24ehWqSCqY+W\nVgeoTxHbov7knkz9JqgWq6D+l7WGash1IZi8dzI8ZB4CRkYIuVjjKrwMAGvWrMGaNWtGbJPJZNi7\nd+9FB0UI4ejqdFBvsX75OvoonjNFPxgNfb0eLX9rAQA0v9wMrwQvRN1PqzMQ4bS/387/WbZQBs8I\nTwGjIefik+aDrM+zULygGKyRxWDpIMpuKuOmhHqM6x0VIYQQAMNqLnHef9w6FTbi7gikvpEKRkKj\nWwlxduMqvDzuk1ERLkIuSNXdVWh7h5taEjwvGJP3ThY4ogvDmlmU3VSGzi86uQ0iQPmlEiHXhggb\nGHFLrJnF4bjDMLQaAJwq6LuECvo6uvYP2lGZX8m3I++JRMo/UmiaHSGEjIOuVofiq4qhP2GdAhv/\n53jE/SHOZtdVeuYjRFj0KowQB2VoMYwYdRD7ZKyA0YwPI2Yw6V+T4D/dn9tgAcpWlI14c0SIvWj3\naPkEj4fcA7JFMoEjIucj/LZwxD8dz7dP/vMkWl5uES4gQghxUv3H+lEwq8Ca4BEBqW+nIv6P8ZQ4\nJ8SFUJKHODVXnkfe9GITWCP3FiRgVgCC5gQJHNH4iH3EUG5XwivhjCKq16qgb3TMIqqu3Kfc3ZkF\nlxW3Kuw25Yf61MWLezoOilus9ZPqHq0bUZDe3VCfIrZE/ck9dH/TjaI5RTBqjABOFbn/IguRd0UK\nHBkhxNYoyUOIAxpWD/PTtACuFo8zv2GRKk4VUQ36WRHVHiqiSuzD2GVE55edfDvijggBoyEXimEY\npL2bhsDZgfy2ilsq0HekT8CoCCHEObR/2A7VtSqYB80AAIlMgsnfTkbodTRlmRBXRDV5CHFAJ9ae\nQNNfuVW1/HL9MOX4FKdO8pzW830PiucX8yOUgq4IQvbX2RBJKd9MJlbL6y2o/W0tAMB/uj+mHJki\ncERkPIxdRhTMLICuRgcA8AjzQN7hPHgneAscGSGEOB6WZdH8YjNOPGZd4dQz1hPZu7PhO8l3ws5L\nz3yECIuerAhxMEatEa1vtvJtZx/Fc6agy4OQvjGdb/d814Pqe6rpRoBMuPYN1vpWNIrHeXmEeCB7\nVzY8QrjlfY0dRhoVSAgho2AtLOp+XzciweOr9EXewbwJTfAQQoRHSR7i1FxxHnnr660w93PDaX0m\n+SD0BtcaSqtYpUDCswl8u/39djQ+2yhgRCO5Yp9yd/2F/RgoGgDA1SAI+3WYXc9Pfcq2vJO9kbUt\nC4yUS34PVQyhdGkpLMMWgSOzH+pTxJaoP7kei8GC8pvL0fKatUh90OVByP0hF55RngJGRgixB0ry\nEOJATP0mtLxq/UKOeyIOjMg1RvGcKfaJWISvDufbDX9sQPuH7ec4gpDxa99o7VvypXK+NhRxXoG/\nCkT6+z8bFfg/NCqQEEJMvSaUXF0CzVZrcXr5Mjmyd2fT9x8hboJq8hDiQJpebMKJNdywWq9EL1xS\ndQkYiesleQDAYrRAtVAF7V4tAIDxYJD9TTaC5wYLHBlxJRa9BQcjD8Kk5abzTP52MoKvoD7mKhqf\nbUT9H+r5dsLzCYh7PE7AiAghRDiGkwaUXFOCwZJBflvUA1FIfjUZjNh+95P0zEeIsGgkDyEOwqwz\no+Vl6yie2LWxLpvgAQCRhwiZn2bCN4ubF84aWZTdUIbB8sExjiTk/HVu7+QTPF7xXgiaEyRwRMSW\nYp+MRXi+dVRg/RP16Pi4Q8CICCFEGEOVQyicVTgiwZO4LhHJ/2ffBA8hRHiU5CFOzZXmkbe/145h\n9TAAwDPKE+G3hY9xhPOTBEqg/EoJaYQUADfEWLVQheH2YcFicqU+RUYWXA6/PVyQ6Y/UpyYOwzBI\nfTt1RPKuMr8SvQd7BYxq4lGfIrZE/cn59R7qRcGlBdA36gEAjJhB+vvp3AtDF1m8gxBy/ijJQ4gD\nsAxb0PRCE9+OeTQGIk/3+PX0ivWC8islxL5iAIC+UQ/VYhXMg2aBIyPOTt+sR/d/urkGwyV5iOsR\nSUXI/DwTPmk+ALiCo6XXl0JXpxM4MkIImXhdO7tQPK8Ypm5u1KrIR4SsHVkjRjkSQtwL1eQhxAG0\nvdeGqjurAAAecg/MaJgBsY9Y4Kjsq2tXF1SLVcCpBXJCrw9F5meZNMSYjFvjc42of4qr1xJ8ZTAm\n75kscERkIulO6FAwowBGjREA4JPmg9yDufCQeQgcGSGETIy299pQfU81WDP3fOUh94DyKyUCpgUI\nGhc98xEiLPcYKkCIA2NNLJrWnzGK5+EYt0vwAEDIwhCkvpHKtzu/7ETtw7UCRkScGWth0bahjW+f\nuZobcU3eid7I+jKLHwU5VDWEshvL3GppdUKIe2BZFg3PNKDqzio+weOV4IXcA7mCJ3gIIcKjZFNP\nRgAAIABJREFUJA9xaq4wj7xjawd0tdy0AkmQBJH3RQockXAi741EzKMxfLv1/1rR8lrLOY6wPVfo\nUwTo3d8L/QmuNoEkSILQJaGCxUJ9yn4CZwYi/YMzllb/vgdVd1W53Btl6lPElqg/ORfWzKLmvho0\n/LGB3+aX64e8g3nwSfERLjBCiMOgJA8hAmItLJqet47iifptFCQBEgEjEl7i+kTIl8n5du3va9G5\nrVPAiIgzOnMUT9jNYRB7u9/oOHcVtjwMiesS+bb6AzUan20UMCJCCLENs86MsmVlOPnWSX5b8JXB\nyPk+B9JwqYCREUIcCdXkIURAnds6UXpDKQBA7CvGjMYZ8Aih+hFmnRnF84rRd6gPACDyFiFnXw4C\nptMQZDI2U58JB8MPwqLjpulM+WkK/Kf6CxwVsSeWZVF9VzXa3rMm+yb9axIUqxQCRkUIIeNn7Dai\n9LpS9B6wrh4YtjIM6RvTIZI61nt7euYjRFiOdUUgxI2wLDvi7XLkfZGU4DlF7C1G1pdZ8E7yBgBY\ndBaoFqugq6fVcsjYNFs1fILHV+kLvyl+AkdE7I1hGKT8IwXB84L5bZWrK9Gzv0fAqAghZHz0zXoU\nzi4ckeCJeSQGkz6c5HAJHkKI8OiqQJyaM88j1/5Hi/7j/QAAkacIMQ/HjHGEe5HKpVDuUkIi46av\nGTuMUC1Uwag1Tuh5nblPEc6ZU7UiVkeAYYRdoY36lDBEHiJkfpoJnwyuRgU7zKJ0SSmGaoYEjuzi\nUZ8itkT9ybENlg6icGYhhsqt166kl5OQ9GISGBGtQEoIORsleQgRyJmjeCLuiqC51KPwSfWBcrvS\nulpO5RDKbiiDxUCr5ZDRDVYM8tP8GAmDsFVhAkdEhCQJkiD7q2xIFdz11dRt4pLFXRObLCaEEFvo\n+aEHhbMLYWg1AAAYDwaTtkyiF4OEkHOimjyECKDnhx4UXV4EgHsQvaTuEnjFegkclePq+LgD5b8u\n59uKVQqkf5gu+AgN4njq1tSh+cVmAEDojaHI+ixL4IiII+g72oeiOUX8NL7AXwVi8t7JfAKZEEIc\njeZzDSpWVvAvtsT+YmR9kTViGqqjomc+QoRFdzeECKDxOesoHsVtCkrwjCFsRRgS15+xWs5mNRqe\nbhAuIOKQLEYL1B+o+XbE6ggBoyGOJGB6ACZtngScygv3/tiLytWV9BBCCHFIrW+2omyZdeSyVCFF\nzvc5TpHgIYQIj5I8xKk54zzyvp/6oP2PlmuIgNi1scIG5CRi1sQg4m7rQ3vjM41o29h2jiPGxxn7\nFOF07+7GsHoYACCNkEJ2lUzgiDjUpxyD/AY5kl5M4tsdWzqcNllMfYrYEvUnx8GyLOqfqkfN/TXA\nqRy0d4o3cg/lwj+XVokkhJwfSvIQYmdNzzXxfw5bEQafFB8Bo3EeDMMg9Y1UyK62PrhX310N7V6t\ngFERR9K+oZ3/c3h+OBgJTecjI0U/HI3IeyP5duMzjWjf1H6OIwghxD4sRguq7qwaMdrbf7o/cg/k\nwjvBW8DICCHOhmryEGJHA6oBHMs+xrenqabBN8tXwIicj6nfhKLZRRgoHgAAiAPEyDuQR/8f3dyw\nehiHog+BNXHfMdOrpsMnlRKo5GysiYVqsQrdu7sBcIVMs7/JRvBcmgZBCBGGedCMsuVl6N7VzW+T\nLZQhc2smxL5iASMbH3rmI0RYNJKHEDtqet46iid0SSglJsZB4i+B8islPKM8AQDmPjNKFpbAcNIg\ncGRESOp/qfkET+ClgZTgIb+IkTDI+DgDvkru+ssaWZTdWIahSudfWp0Q4nyMnUYUXVE0IsETfkc4\nsrZlOWWChxAiPEryEKfmTPPIh6qH0LG1g2/HPRknYDTOzTPKE8pdSoj9uZsfQ7MBqmtVMA+YL/qz\nnalPEQ7LsmjbYK3PFL46XMBozkZ9yvFIArhksTTi1NLqPSaULCzBsGZY4MjOD/UpYkvUn4Sjq9eh\n4NIC9B/t57fFPRmHtPfSIPKgxzRCyPjQ1YMQO2la3wRwiyRAdpUM/lOpgN7F8Mv2Q+YnmWDEXN2V\ngcIBlP+6nB/NQdxH/0/9GCrnRmGIfcWQ3yQXOCLiDLxivKDcoYTIh7sV0tfrUXp9Kcy6i08WE0LI\nWPoL+1E4qxC6ah23gQFS3khBwrMJYBiqKUcIGb9x1+Tp6enBnXfeibKyMjAMg40bNyIlJQUrVqxA\nY2Mj4uPjsXXrVgQFBVlPRvMziZvSN+pxJPkIn4DI+SEHQbODxjiKnI+T75xE9d3VfDvyfyKR8kYK\n3SC5kep7q3HynycBcEPc0zekCxwRcSad2ztRuqSUX8lGvlyOjI8ywIjoGkIImRjab7UovaEU5n4u\nqSzyFGHS5kmQL3WNlxT0zEeIsMY9kud3v/sdFi5ciIqKCpSUlCA9PR3r16/H/PnzUV1djXnz5mH9\n+vW2jJUQp9X0QpO1XshlgZTgsaHIuyIR+7h1GfqT/ziJlldaBIyI2JN5yAz1R2q+HX6HY03VIo4v\n9LpQJP8tmW9rtmpQ/1S9gBERQlxZx787UHJNCZ/gkQRKkP2fbJdJ8BBChDeuJE9vby/279+P1atX\nAwAkEgkCAwOxfft25OfnAwDy8/Oxbds220VKyCicYR65oc2A9vesS/RSLR7bS3g2AWG/DuPbdY/U\nQfOpZlyf5Qx9ilh1ft4Jcx93o+yd7I3AXwUKHNHZqE85vqjfRiHqgSi+3bSuCW3vtZ3jCGFRnyK2\nRP3Jfpr/1ozym8vBGrkXf55Rnsj9MRdBl9HLP0KI7UjGc1B9fT3kcjnuuOMOFBcXY8qUKXj11Veh\nVquhUCgAAAqFAmq1+qxjb7/9dsTHxwMAgoKCkJOTgzlz5gCwfslQm9rn2y4qKnKoeEZrx3wVA4vh\nVDGedCB4frBDxecKbUbEoOOODqAcQAkAAGWrygA1MOf+C/u80xzp56P2L7eDNlpvjHVzdPw0PUeJ\nj9rO0f7++++BJUBIfQi6vuoCAFTdUwWvOC8EXxkseHw/bxcVFTlUPNR27jb1Jzu0LUDM1zFofqkZ\np/lM8kH2N9k4XHcY2Odg8V5gu6ioCD09PQCAhoYGEEKENa6aPMeOHcPMmTNx8OBBTJs2DQ899BD8\n/f3x97//HVqtlt9PJpOhu9u6HCDNzyTuxthlxOG4wzAPciMNsrZlIfT6UIGjcl3GLiMKZhXwRQw9\nQj2QdygP3sneAkdGJoKuXocjiUe4hgiY2TQTnlGewgZFnJp5wIzC2YUYKBoAAIgDxMg7mAffTF+B\nIyOEOCvLsAVVq6ug3mx9+R14aSCytmfBQ+YhYGQTh575CBGWaDwHRUdHIzo6GtOmTQMALFu2DAUF\nBQgPD0d7Ozctpa2tDWFhYWcd23+8n37pidtoea2FT/D4ZvkiZHGIwBG5No8QD2TvyoZHKHfTZOw0\nomRhCYxdRoEjIxOh/X3rNEjZVTJK8JCLJvYTQ7lTyfclc58ZqkUqDKudY2l1QohjMfWboLpWNSLB\nE7okFNl7sl02wUMIEd64kjzh4eGIiYlBdTW3os3evXuRmZmJxYsXY9OmTQCATZs2YcmSJWcde3za\ncbS8TEVRiW2cHjLqiEy9JrT+XyvfjnsyjlZrsQPvJG9kbc+CyIu7vOlqdChdUgqL3nJexztynyJW\nrIUdkeSJWB0hYDTnRn3KuXhGeUK5UwmxrxgAtzqi6joVzEOOs7Q69SliS9SfJsawehhFc4qg3WOd\n5RB5TyQyP82E2FssYGSEEFc3riQPALz++utYtWoVJk+ejJKSEjz55JNYu3Yt9uzZg9TUVHz33XdY\nu3bt2QeywIm1J9D7Y+/FxE2Iw2t9sxWmXhMAwDvFG/KbaNUEewmcGYhJ/5oEnMqp9f7Yi8o7KsFa\naBShq+j5rgeGJgMAbgQXjZIjtuSX44eMrRn8XVL/0X5U3FpB1xBCyHkZqhlCwawCDBQM8Nvi/xKP\nlH+kgBHTCz9CyMQaV02ecZ+MYfBf/BcAII2UYmrhVEjDpPY6PSF2Yx4043D8YRg7uWlCaRvSEHGH\n4440cFXNLzej7pE6vh37eCwSn08UMCJiK+Ury9HxUQcAIPp30Uh+NXmMIwi5cK1vtqLm/hq+HfNo\nDJJeSBIwIkKIo+v7qQ+qRSoYNaemiouAtH+mIeJO97kPpJo8hAhr3CN5xksi4xb0Gj45jIqVFWDN\ndAEgrqftnTY+weMZ6wnFLQqBI3JP0Q9HI/K+SL7dtK4JJ98+KWBExBaMWiM6P+/k2+F3hAsYDXFl\nUfdFIfr30Xy7+cVmnPwnXUMIIaPr3t2N4rnFfIJH5C1C1rYst0rwEEKEZ/ckT8bmDH4KhfZbLRr+\n0mDvEIgLccR55BaDBU0vNvHt2DWxEHnY/VeNgHuTlPJaCkKutU7lqbmvBt27u3/xGEfsU2Skjo86\nYDFwNZb88vzgN9lP4IjOjfqUc0t6MWnEqog195/7GmIP1KeILVF/so32D9qhWqziF9yQyCSY/O1k\nhC6mVVUJIfZl9ydP2dUyxD0Zx7cbn2lE93+EvVkixJba32/H8EluJRZpuBThq2mUgZAYCYOMjzLg\nl8clAlgzi7KbyjBQPDDGkcRRtW9wjoLLxDUwYgaTNk+C/xR/AKeuIcvLMFBC1xBCCMCyLJr+2oTK\n/EqwJm6GgmesJ/IO5CFwZqDA0RFC3JHda/KwLAvWzKJ4QTF6vusBwBXNnFI4BV4xXvYKhZAJwZpY\nHEk9An29HgD3BjjmkRiBoyIAYGgzoOCSAhiauWK9nlGeyDucB89oWnbbmQyUDODY5GMAAJGnCDNP\nzqRlaIldnHUNifZE3pE8eEbSNYQQd8WaWdT+vhatr1tXU/XN9kX219lufW2gmjyECEuQOSSMmEHG\nlgxII7iiy8YuI8pXlMNiPL8ljglxVOqP1HyCRyKTIPLeyDGOIPbiGeGJ7F3ZEAdwy5YaWg0oWVQC\nU59J4MjIhWjfaB3FE3pDKCV4iN14RnhC+ZUSYv9T15AWw4ipGYQQ92LRW1B+c/mIBE/QnCDk/pDr\n1gkeQojwBCsUIlVIkfHvDH4Zwb5DfTjx2AmhwiFOypHmkbMWFk3PW2vxRD8UDbGfWMCIyM/5Zvki\n67MsMBLuujNYMojy5SMTzI7Up8hIlmEL1B+q+bazTIWkPuU6/JR+yPwkk793GSgYQPnKcrsvIkF9\nitgS9acLZ+o1oeSaEmg+0fDb5MvlyN6dDUmgRMDICCFEwCQPAARdFoSE5xP4dsvfWqD5XHOOIwhx\nXJ2fd2KocggAIPYXI+qBKIEjIqMJvjIYae+k8e3ub7pRc38NDSt2Al07umDsOrVqXYwngq8IFjgi\n4o5kV8mQ8mYK3+7a3oW6R+oEjIgQYk+GVgMKZxeiZ18Pvy3qt1HI+CgDIk9aaIMQIjxBavKcibWw\nKF1Siq4dXQAAcYAYU49PhXeyt73CIuSisSyL47nH+WK+sY/HIvH5RIGjIudS/3Q9Gv/SyLcT1yUi\ndm2sgBGRsZQsKkH3Lq5Qf9wf4pDwl4QxjiBk4tStqUPzi818O+X1FEruE+LiBisGUXJ1CQxNBn5b\n4l8TEfNoDBiGETAyx0I1eQgRluDpZkbEIH1TOrziuaLL5j4zypaVwayjOe7EeXTv6uYTPCJvEaJ/\nHy1wRGQs8X+Kh+JWBd8+8fgJdPy7Q8CIyLkYThpGLFsdfrtzTNUiritxfSLkS+V8u+Z3Nej6qkvA\niMiZWNaC9vYP0Nz8N+h0NNKKjB/Lsugv7Ef9U/UovLSQT/AwEgbpH6Qjdk0sJXgIIQ5F8CQPAHgE\ne3Bz3KWn5rgXD6D2t7UCR0WcgSPMI2dZFo3PWkeERN4TCalcKmBE5HwwDIO0d9MQNCeI31aRX4F9\nr+8TLijyi9QfqIFTpZOC5gbBO9F5Rns6wnWK2B4j4h7w/KdzS6vDApSvKMdA0cQvrU59amwnTjyG\nysp81NU9jCNHklFQMBMtLa9jeJiS+T9H/elsLMui72gf6tbU4UjyERzPO47G5xph0nKLNYh9xVDu\nVCL8VnrhQAhxPA6R5AEA/6n+SH41mW+3vduG9k3t5ziCEMfQ898e9B3uAwAwUoaWTHciIqkImZ9n\nwifdBwDADrPAU8BQ9ZDAkZEzsSyLtg1tfDv8DrqpJo5B7COGcrsSXnGnRiMPmlGyqASGFsMYR5KJ\n1Nb2LpqbXxqxra/vMGprf4tDhyJRUnIN1Op/wWye+IQccR6shUXvj72o/X0tDscdRsElBWh+sRn6\nE/oR+0kjpcjZlwPZVTKBIiWEkHMTvCbPmViWRcWqCnR8xL1lEXmLkHckD35KP3uFSMgFK5pXhJ7v\nuOJ7EXdHIO2faWMcQRyNrl6HghkFMPb1Ab/+N8ThRuTc/yz8o6mukiPo/bEXhbMLAXBFzWe1z4LY\nh1auI45jsHwQhbMKYerl3vL75fgh54ccSPxplR1702q/RUnJ1WBZ7t/CyysBBkMz3z6TSOSD0NDr\noVCsQnDwAohEHvYOlwiMNbHo2d8DzacadH7RieG24VH3E/uLEXpdKEKXhkJ2tQxib/oOOheqyUOI\nsBwqyQMA5gEzjk8/jqEK7k26T5oP8n7Koxsl4pB6D/WicBb38MmIGUyvnu5U00iIVdeRE1AVLQLS\nKrkNeh/ExzyLuIzfgmHoZk5Ilb+pRPsGbmSnsyVSTaZeqNVb4OUVA5lsEdVtcGHavVqUXFMC1sTd\n58gWyqD8UglGQv/m9jI0VImCgpkwmbgXL35+OcjN3Q+LRY+Ojk/Q0bEZvb0HRj3WwyMUcvlyKBSr\nEBAwk35XXZjFaEHPdz3QfMYldoydxlH3kwRLEHp9KOTL5Ai+MphWzroAlOQhRFgOl+QBuDdix6cd\nh2WIK8AQtiIMkz6aRF+45Cz79u3DnDlzBDu/6loVX2hTcasCkz6YJFgsZPx0ujqUlFwNne7sWmB+\nntOQrnwXfn7ZAkRGzANmHAw/CPMgV4w/73AeAi4JEDiqsbEsC43mY9TW/h7Dw1yCKjLyPqSkvAaG\noZcWrqrtvTZU3VnFt6Puj0Ly68k2v38R+rvPERmNnSgomMEXWZZKIzFlyhF4eo5cCEGvb4BavQVq\n9WYMDZWP+lleXglQKFYiLGwVfH1d/3vdHfqTxWCBdo+WG7GzvZOvrfNzHnIPhN4QCvlSOYLmBkHk\nQYmd8aAkDyHCcsg7Td8MX6T9Mw0Vt1YAADo+7kDg7EBE3U9LkxLH0V/Yb11JheGWTSfOp7//GEpK\nFsFoPFWMkxUB7WFABPdgPmD4CcePTUFM7COIi/sjxGIaqWVPHZ908Akenwwfa5FbBzY0VIOamvug\n1e4dsf3kyTdhMDQhI+PfEIt9BYqOTKSI30RAV6dD07omAEDrG63wTvFG9O9oxcWJZLEYUFp6A5/g\nEYl8oFTuOCvBAwBeXvGIi3sCsbGPY3CwGGr1ZnR0fASDoZXfR6+vR2Pjc2hsfA5+frlQKFYhLOzX\n8PSk+1BnYh4yo3t3NzSfadC1owvm/tFX7pVGSCFfKod8qRyBswPBiOmlMiHEuTnkSJ7Tqu6pQtvb\nXLFNxoNB7o+5CJju+G9wiXsou6kMmk81AAD5MjkyP8kUOCJyobq7d6OsbBnM5kEAgEjkhYyMj2A5\nMA3lXz4F/HozILUO4/b2TkJq6lsIDr5SqJDdTuHsQvT+2AsASHoxyaELm1ssejQ1/RVNTetgsVgL\n74pE3rBYdHzb338qlModkEqpgLQrYi0sym8uh2Yr9/0ABsj6Iguh14cKG5iLYlkWlZX5UKs/PLWF\nQVbW5wgNXXIBn2FGT88P6OjYAo3mE5hMvaPsxSAoaC4UilWQy5dCIgm0SfzEtkz9JnR/dSqxs6uL\nnxXwc56xnlxiZ5kcATMCwIgosWNLNJKHEGE5dJLHoregYFYBBgq51Q+84rwwpWAKPGRUGI8Ia7Bi\nED9l/gSc6s5TCqbAP9fxRxgQq/b2TaiqupMvximRBEOp3IHAwEsBAN3fdEP1wFdgH3gJmFwy4liF\n4lYkJb0MqVRu97jdyVD1EI6mHQXA1bya2ToTUoVU4KhGp9XuRXX1fdDpas7YKkJ09IOIj/8zmprW\noanpr/zfeHnFQ6nc5RZTQdyRWWdG8bxi9B3iVl4U+YiQ+0Mu/KfQ94StNTY+h/r6p/h2YuILiI19\ndNyfZ7EY0NW1Cx0dm9HVtXNEwvY0kcgTISHXIixsFUJCFkIk8hz3+cjFM/WY0LmjE5pPNdB+o4XF\nMHpixzvJG/JlcoQuDYX/VH8qAzGBKMlDiLAcOskDALoTOhzPO86vWBGyKARZ27Mo404ACDePvOK2\nCqg/VAPg+qRyp9LuMZDxYVkWTU3rUF//JL/N0zMW2dm74es7aUSf0v5XC9V1JbBcthO49y3A37rc\nrodHCJKSXoFCcSvdKE6QE0+c4Ke9hF4fiqxtWQJHdLbh4XbU1j6Mjo6PRmz395+G1NS34O+fx/ep\nkyffQnX1/QC4BxCJJAhZWdsQFHS5AJGTiTasGUbBjAJ++WVpuBR5R/LgFet10Z/tDjVUzkdHx1aU\nl6/g2xERv0Fq6js2uyabTD3QaD6HWr0ZPT3/Bf9m5wwSSRDk8mVQKFYhMPAyMIzz1XBxxv5k7DSi\n88tOaD7TQLtXC9Y4+vOFT7oP5Mu4ETu+2b70fW0nlOQhRFgO/03kneiN9PfT+XbXV11ofqFZwIiI\nu9Od0KFjSwffjn2SavE4C5Y1o6bmgREJHl/fbOTlHRp1REXw3GBM3p0D8f7rgPxNwHdz+b8zGrtQ\nWZmPkpL5oxZsJheHNbFo39TOt8NXO9bUJpY1o7X1TRw9mj4iwSORBCIl5U3k5R2Cv3/eiGMiI++F\nUrmdr8djMvWguHgB1Ootdo2d2IdULkX2rmxIgrnyh8Ptw1Bdq4Kpb/SCr+TC9PUdQWVlPt8OCroC\nKSlv2vQhXiIJQkTEauTkfIuZM5uRlPQS/PxyR+xjMvWgre1dFBXNxeHDcairW4OBgWJ6wJ0Aw+ph\nnHzrJIqvLMbB8IOourMK3V93n5Xg8c32Rfxf4jGtbBqmV0xHwjMJ8JvsRwkeQojbcPiRPKfVPVKH\n5pdPJXdEQM63OQiaE2TD6Ag5P9X3VuPkP08CAIKuCELOtzkCR0TOh9msQ0XFSnR2buO3BQXNRVbW\nF2PWVuj7qQ8lV5Vwq3Fcchh4+FUgTM3/vUjkhbi4PyIm5hGIRDSd1Ba6dnVBtUgFAJAqpJjRPMNh\nVjnp7y9AdfW96O//acT2sLCVSE5+ecxaO/39x6FSXcuvugUAiYnrEBPzGD2EuKCefT0oXlDMP4gG\nLwiGcqfSYfqzM9LrG3H8+HS+YL6PTxpycw/BwyPYLucfHKxAR8dmqNVboNfXj7qPj08GFIpVUChW\nwssr3i5xuSJDiwGazzXQfKZB7/7e0QZTAQD8p/pDvpSbiuWT4mPfIMlZaCQPIcJymiSPxWhB8dxi\n9B7giuFJFVJMLZoKabhj1mcgrsnQasDhxMNgh7l+PPnbyQi+wj43lWT8jMZuqFSL0dd3kN8WFnYz\n0tM3nncthYHiARRfWQxjpxHw0gF3vQ/c8CnAWOf++/oqkZb2NgICZtj4J3A/ZcvKoPmMK1wb80gM\nkl5MEjgiwGTqQ339H9Da+necnnIFAN7eKUhN/QeCg+ed92fp9Y0oKbkGQ0MV/LaIiLuRmvoGLbHu\ngto/aEdlfiXfjrwnEin/SKGk3jiYTH0oLLwUg4OlAACJRIYpU47A2zvZ7rGwLIu+vkNQqzdDo9kK\no7Fz1P0CAy9FWNgqhIUth4dHiJ2jdD76Bj00n2mg+VSDvsN9v7hfwMwAbirWjXJ4xV/8NEhiO5Tk\nIURYTpPkAbgH7GO5x2DUcKvdBM0JwuQ9k8FI6CbJXdl7Hnnt72vR8moLACBgRgByD+bSTbqD4x6m\nr8bQkPUBKybmf5GY+MKotRPO1acGywdRPK8Yw+3DAAAmswaer/0devGZhZkZREXdh4SE5yGR0GqA\n42HsNOJg5EF+5MO0smnwzRBuyXGWZaHRfILa2ocwPNzGbxeJPBEb+wRiY9dAJPrlB4xf6lNGoxZl\nZTeip2cfv00mW4jMzI8hFvvZ8kcgDqD+6Xo0/qWRb1/ManHOWEPFFljWBJXqOnR3fw0AYBgPTJ68\nF0FBlwkcGWCxGKHV/gdq9WZ0dn4Ji2XorH0YRgKZ7GooFKsQEnIdxGLHGHHiCP1pqHoIms806Pys\nE/3H+0ffiQGCLgtC6NJQyG+UwzOKCl47KkryECIsp3pd6BnliYwtGSheUAyw3BDo+j/WI/H5RKFD\nI25guGOYn6YFAHFPxVGCx8ENDBSjpOSaEQ/mSUmvICbm9+P6PN8MX+T8kIPiK4phaDGALUuBftHf\noPh8PzR+L5y6qWfR2voGOju3ISXl7xe0jC/hqDer+QRPwIwAQRM8Ol0damruR3f3NyO2BwfPR0rK\nG/DxSRn3Z3t4BCM7ezcqK1ejo4Ory9PdvQuFhZdBqdwJT8/Ii4qdOJb4P8VDV2ut6Vb3aB28Erwg\nX0qr9J2v2tqH+QQPAKSlvesQCR4AEIk8EBKyCCEhi2A2D6CzcxvU6i3Qav8DljUD4JJUXV070dW1\nE2KxH0JDb4BCsQrBwfPcbgQfy7IYKh/iR+wMqgZH3Y8RMwiaG8StirUk1GFXWCSEEEfiVCN5Tmv4\ncwMa/tTAt5U7lQhZRMNfycQ6c6Ufvxw/TCmYQkkeB6bVfofS0iUwm7k3ggwjxaRJHyAsbMUYR45N\nV69D8bxi6Ou5VXMYMYPELb7Qpv9xxAMIAISG3oCUlNfh6Rl10ed1ByzL4tjkY/wNf+rbqYi8y/7J\nDovFgObmF9HY+BwsFj2/XSoNR3Lyq5DLl9vs959lWTQ0/AGNjc/x2zw9Y5Cd/TV8fTNtcg7iGCwG\nC4qvLEbvj9zUc5GXCDn7chBwCY36G0tr699RU/Mg346LexIJCc8KGNH5GR7ugEazFWqbUa3HAAAg\nAElEQVT1ZvT1HR51H6lUAbl8BRSKVfD3n+ay9xYsy2KweBCaT7kaO0OVZ492AgDGg0Hw/GCuxs71\nofAIoVp3zoZG8hAiLKdM8rBmFiULS6D9jxYAIAmWYGrhVHjF0XxcMjGMWiMOxx2GuZ97G5f5SSbk\ny+jtq6NSqz9CZWU+WJab2ikWByAraxuCg+eOceT5M7QYUHRFEXQ1Om4DA6RtSIN44Q+oqfktXxCU\nO78/EhPXITLyXjCM2GYxuKL+4/04PvU4AEDkLcKs9lmQBNj3DbdW+1/U1PwPhoaqztjKICrqfiQk\nPDtmoe7xamt7F9XV9/Jv/SWSQGRmfo7g4Csm5HxEGMYuIwpmFvDXDo8wD0w5MoVqipxDV9fXUKmu\nxelaWHL5TcjI+LfTLVeu09VBrd6Cjo7NP7u+WHl7p0ChWImwsFUXNVLQUbAsi/6f+vkRO/oT+lH3\nE3mJILtaBvlSOUKuDYEkyL1GNrkaSvIQIiynTPIAwLBmGMdzj8PQagAA+E/3R+4PuRB5OtcXPrk4\n9ppH3vBMAxr+2AAA8En3wbSyaWBErvmmzdk1N7+MurpH+LZUGons7N3w81Oe1/EX0qeG24dRfGUx\nBsusw8xT3kxB2J3eOHHiMbS1vTti/4CAGUhNffu8Y3FH1fdX4+Sb3LRIxa0KTPrg7KXtJ8rwsBp1\ndY9Arf7XiO3+/lOQmvoW/P2njutzL6RPdXfvRlnZTTCbBwBwNUfS0zdAobhlXOcmjmmoZggFMwpg\n6uaWU/fJ8EHegbzzfrB1hBoq9jI4WIqCgln8qEx//+nIydkHsdhb4MjGj2VZDAwUQK3ejI6Of4+Y\nUnwmf/9pUChWISxsxZir9l0MW/cn1sKi71AfN2Lncw0MTYZR9xP5iBCyKATyZXKELAyB2I9egrgK\nSvIQIiynzYhI5VJkbM3giy73H+1H3SN1AkdFXJF5wMwXWwaA2MdjKcHjgFjWgtrah0ckeHx8MpCX\nd2jCkirScCly9uXAL8daJLfmvhq0/30QaWnvICdnH3x80vi/6+s7jOPH83DixJMwm3UTEpMzs+gt\nfL0SAIhYHWGX87KsBSdP/hNHj6aPSPCIxf5ISXkdeXlHxp3guVAy2dXIzd0PqTTiVGxGVFTcioaG\nZ+iG2YX4pPgga1sWGCn3XTJUPoSyZWWwGC1jHOlehofbUVKyiE/weHrGQqn80qkTPAD3AOzvPwXJ\nya9g5sxmTJ68B+Hht0Ms9h+xX3//T6itfQgHD0ahuPgqtLd/AJPpF4oSC4w1sdD+V4uaB2pwKPoQ\nCn9ViJZXW85K8Ij9xVCsUiDz80xcqrkUmVszEbY8jBI8hBBiQ047kue05r81o+5ha3In498ZCFsR\nZtNzEPfW/FIz6h7l+phXghemV02HyMNp86MuyWIxoKLiNmg0W/ltgYG/QlbWl/DwkE34+Y1aI0qu\nLkH/UevNd8JzCYh7Ig4Wix6NjevQ1LSOnz4GAN7eyUhNfeuClt12dR3/7kD5zeUAAK9EL1xSc8mE\nJ1QHBopQXX0v+vqOjNgeFrYCSUmvCFb8WK9vgkq1iF8mGgDCw1cjNfUtiERUn8JVqLeoUbGqgm9H\n/CYCqe+kumxNlgthNutQXDyX/90Ui/2Rm3vApUdCms06dHXtREfHZnR17RrxnXGaSOSN0NDrEBa2\nCjLZVRCJhCtEbDFa0PPfHmg+1aBzWye/+u3PSYIlCL0+FPJlcgRfGUyj7t0AjeQhRFjjTvKYzWZM\nnToV0dHR2LFjB7q7u7FixQo0NjYiPj4eW7duRVBQ0MiTTcAvPMuyKFtWhs7POwEAYj8xphybAp80\nx1iWkjg3i96CwwmH+SWzU99KReQ9tOKNIzGZelBaesOIZahDQ29ERsbmcy5rbfM4+kxQLVLxBVUB\nIO4PcYj/czwYhsHgYDmqq+9Bb++PI44LD89HUtJL8PAItVusjqp4QTG0e7haawnPJCDuqbgJO5fJ\n1I+GhqfR0vIaTtf5AABv7ySkpLwJmWzBhJ37fJlMvSgrWwqt9lt+W3DwAmRmfgKJhAr1uoozpwMD\nQOK6RMSujRUuIAfAshaUl998RuJeBKVyJ0JCrhE0LnsyGruh0XwKtXozent/GHUfiUSGsLDlUChW\nISBgll1qFFkMFmj3aLnlzr/shElrGnU/D7kHQm8IhXypHEFzg+jlmJuhJA8hwhr3Ffe1115DRkYG\n/7Zp/fr1mD9/PqqrqzFv3jysX7/eZkGeC8MwSN+QDu8kbuiuecCMsmVlMA+Z7XJ+Iqx9+/ZN6Oe3\nbWjjEzzSSCnCb5+4OfHkwhkMrSgsvGxEgicq6n5kZm4dd4JnvH1KEiBB9u5sBF1hTW43PtOIE2tO\ngGVZ+PpmICfne6Sm/nNE4d729k04enQS1Op/ufUNkb5RD+1eLsEDBlDkKybkPCzLQqP5DD/9NAkt\nLX/D6QQPw0gRF/dHTJ2qsnmCZ9x9ShIIpXIXwsPz+W1a7X9QWDgbBkOrjaIjQot7Kg6K26z9/cTj\nJ9CxteMcR0z8d5/QGhqeHjEyMzn5VbdK8ACAh4cMkZF3Izf3e8yY0YjExPXw9c0esY/J1I2TJ99C\nYeFsHDmSiBMnnhgx+u98jdWfzENmaL7QoHxVOQ6EHYBqsQrt77efleCRRkgR9UAUcv6bg1lts5D2\nzzTIFsgowUMIIXY2rqtuS0sLdu3ahTvvvJN/KNm+fTvy87kb0fz8fGzbts12UY5BEihB5qeZ/PDP\nwdJB1NxX49YPTOTiWYwWNP21iW/HPhpLQ4wdyOBgGQoKZmJwUMVvS0xcj+Tk1wVbwUrsK4ZypxKy\na6xTxJpfakbtb2vBWlgwjAiRkXdj2rQKyOU38fsYjZ2oqLgVJSVXQadzz9pi7ZvagVOX7OD5wfCK\nsf0oLJ2uHirVtSgrWzYiSRIcPA/TpqmQkPBnh6v1IRJJkZa2EfHxT/PbBgdLUFAwAwMDqnMcSZwF\nwzBIeycNQXOsCeLK2yrRe6j3HEe5rvb2D9HYaF0aPSrqfkRHP3iOI1yfl1csYmMfw7RpxZg2TYXY\n2LXw9Bw52kuvb0RT0zr89JMSP/00GU1NL0Cvbx73Oc0DZnR83IGy5WU4ID+AshvL0LGlA+a+kS9R\nPWM9Ef37aOQeyMXMlplIeT0FQXOCwIhpyiEhhAhlXNO1brrpJjzxxBPo6+vDSy+9hB07diA4OBha\nLfcWlmVZyGQyvs2fbIKH7rW924aqu6xLUqa9m4aI39incCdxPW0b21C1mutPHqEemNEwA2JfKgzo\nCHp69qO09DqYTD0AAIaRIC1tA8LDbxU4Mo7FYEH5inJ0ftnJb4u4MwKpb6WOuPHt6tqJ6ur7YDBY\nb8RFIi/Ex/8J0dEPu03tFdbC4kjyEejruaV1bV1bzWIZRnPzy2hsfAYWi7XgtYdHGJKT/4awsJud\nogZKW9tGVFffDZbl3p6Lxf7IzPwMMtl8gSMjtmDsNqJwViGGqoYAcN87eUfy4J3oWInHidTTsx/F\nxVeCZbkRtDLZ1VAqd4BhaDntn2NZC3p7D6CjYzM6OrbCZNKOsheDoKDLEBa2CnL5Mnh4BJ/zM029\nJnTt6ILm/9m78/Co6uvx4+/ZsmeybyRACEnIvrEJboBr1Vp3rdq6VK1ttdrFurT9dVWpbb/ura3W\nFpdWrdVqrUWrgnUBgSQkISQkAQIh+z6ZLJNZ7u+PCTeMQNgmuTPJeT0Pz8P95N6ZM3AzM/fc8zmf\nVzvpeacH18ihG4EHzw8m7rI4Yi+NJXxRuF+8f4qpJdO1hNDWMX9qvvXWW8THx1NcXHzY8k6dTnfY\nN/zrr7+e1NRUACIjIykqKlKXbdz/eMe7vWP+DjgbeNf9XDu+uYMdyg5W3OSdx5ftmbOtOBV2/L/x\nhGHKd1P4aPNHPhPfTN7Oze2mpuYaXC73ih0GQxi5uf+gsjKA2tr1mse3YsUK9IF6um7rAguwDsCd\nhG7d08rpb5+Ozqgb2z+MU0/dzu7dP2bfvscAFy7XCLt23cOuXU8D32PFim9o/nome7vvwz41wbO/\nQae3Hr+oSEdd3TcYGhpvbgs64ELs9q+RkPBFzV//0W/Po7DwP2zbdglO5wBO5wBVVeeRmflHduyY\n5wPxyfaJbi/991LKTirD3mXH3mWn6rwqijcU80nFJz4R3+RuN2My3aEmeGAeOTkvo9MZfSQ+39yO\njDyVlpZLgU3ExVXS3f0mLpf7/RQU+vo+pK/vQ+rqvkVs7PkkJFxDdbUZCOC0k0/DutVK2Zoy2AK6\nMh2K/TAX5nNg7lfnEndZHFt6trBXt5e0xWmav37Z9o3trVu30tfnvvHW2NiIEEJbx1zJc9999/H8\n889jNBoZGRnBYrFwySWXsHnzZtavX09iYiKtra2sXLmS2tpazyebgqyuc9BJ2dIyBqsHAffdhoWl\nCzFGyF2g6Wj9+vXqh4w3HbjKjzHCyEl7TpJzyAc0Nz9Bff232T+vJyAggfz8twkPL/Hac3jznFKc\nCrU31tL+XLs6Fnd5HNkvZh/Uo2BgYAs7dtyM1br1gFEdycm3M2/eLzEaPZfWnU5qvlJD+wvuf6Pk\n25LJeDzjhB9zdLSTXbvuoq1tjcd4WFgRmZl/wGxecsLPcbS8/T5ltVZSVXWex5Sz1NSfMHfuT+SO\n+jTQ/2k/FasqcNncVRSRKyIpeKcAfcD4e8ZkffZpxW7vpbx8GUNDY9WzpngWLtxEUNDkNV+frhwO\nC11dr9Pe/uJY0/aDq3F09jCMVatw/H0FyqYCcB26Sjm0IJS4y+KIuzSO0JzQSY5cTCdSySOEtvRH\n3sXTAw88QFNTE7t37+all15i1apVPP/881x44YWsWeP+Mr1mzRouuugirwd7NAyhBnJfzcUQ5v7A\nGt45TO2NtfJGI46a4lLYc/8edTv528mS4NGYoijs2nUv9fW3sz/BExycQXHxp15N8HibzqAj689Z\nJN0yPm208++dVF9afVAZfHj4IhYu3Mz8+b9Gr98/PUOhufkxNm/OoavrzSmMfOo4+h10vtqpbife\ncGLNzRXFRWvrM2zatMAjwWMwhJGe/ggLF26e0gTPZAgLK6CkZKNHE9bGxp+xY8cNuFyjExwp/EHE\n8giynstSt/vW91F3S920/R7jctmprr5MTfDo9YHk578hCZ7jZDSaSUy8joL8dyiMriOu86cYu/I8\n9lFMVuwlb6I8+F146Sr4xu8gow5QCF8UTtqDaSypW8LiisWk/jhVEjxCCOFnjnsJdYAPP/yQ3/72\nt7z55pv09PRwxRVXsHfv3ildQv1wDqzEAEh/OJ2UO1Om5LmFf+t6o4ttF7lXpzCEGjhpz0mYYmZG\nbxRf5HKNsmPHTbS3P6+Omc1Lyc9/y2+WHVcUhYY7G2h+7IBmv2dHkfd6HoaQg++gDg/vpr7+G/T0\nvOMxHht7CRkZjxMYOGvSY54qLX9ooe7WOgDCCsNYWL7wuKtRrNZK6upuxWLZ4DEeF3c56ekPExiY\nfMLx+hKHw0J19eX09r6rjkVFnUFu7j88VnAT/mnv6r3suneXup3681RSf5yqXUCTQFEU6uq+Tmvr\n0+pYTs5LxMdfqWFU/slpdWLZZMHyqYX+T/uxbLDg6Dtg9auUJjjjfTjzPUg59Op8EcFnkV34J4KC\nZk9R1GK6kkoeIbR1QkmeY36yKf6Fr7+tnuYn3R9kOqOOov8VEbFMvviKw1MUhbKlZQxsHgBg9vdm\nM/838zWOauZyOAaorr7M4yI2JuYCcnJexmAI0TCyY6coCrvv3e2xYlvkikjy/5WvVh5+fv+Ojpdo\naLgDu3280sVgMJOWtppZs76OTnfMxZg+p+ykMiyfWQBIfzSdlG8fezLe6bTS2Pgz9u17GEUZX/kl\nKGgeGRlPTuull10uO3V1t9LW9qw6FhqaR37+23Kh5ucURaHu5jpa/9SqjmW/kE3CNQkTHOVfmpp+\ny86d31e35837BXPn/kjDiPyDoijY9tro/6RfTepYK6yHmpnlQWfSEbYwjODz9+BYtJaB0DewOzs8\n9jEYzKSn/x+JiTfK9E9x3CTJI4S2pnWSx2VzUX5quXrBHpgSyKLyRZhipSpjuvB2X4Ked3uoPKcS\nAH2gnqW7lxKYFOi1xxdHb3S0jcrK87Bay9WxpKSbycz83aSutDKZvS4URWHPL/bQ+JNGdcy8zEzB\nfwoOOyXQbu9h5867PC7iAczm5SxY8EdCQ3MnJdapMFg9yOa8zQDoAnQsb1l+zFVzXV1vUF9/u8cK\nZTqdiTlzfsCcOff5RDJwsvunKIrC3r33s3v3j9WxgIBZFBT8m7Cwokl7XjH5XHYXVV+oovd998pJ\nugAdhe8VstW51e978nR1/ZNt2y5h/xTchISvkJW1RhILh+AadWEtt7ordMaSOqMtR56aaYo3EbE8\nAvNyMxHLIwhfGI4+aPzmgKI46O19n8rK3wDvs///Atwrmy1Y8DSBgVIFL46dJHmE0Na0bjSiD9ST\n+0ouW0q24Oh1YNtno+baGvLfzkenly8R4mAH9uJJ/FqiJHg0MjRUR2XlOYyMNKpjqak/Y+7cH/v1\nBYBOpyP1/6WiD9Kz6273NAzLBgsVZ1ZQ8E4BpuiDExwmUzRZWX8iIeFa6uq+zvBwvfs4y6ds2VLM\nnDl3M3fuD9Hrg6b0tXhD25/b1L/Hfin2mBI8IyN7qK+/ne7uf3mMR0auICPjd4SGZnstTl+n0+mY\nO/dHBAbOZceOr6EodkZHWygvP5Xc3L8THX2u1iGK46Q36cl9NZeyk8sY2j6EMqq4pxM/qnVkJ2Zg\noIzt269hf1IhIuIUFix42q/f371ptHMUywaLWqkzsGXgsMuZq3QQmh/qkdQJSgua8N9UpzMSHX0O\nEEhx8U+prb1B/Yzp6VnLpk25pKc/TGLiDfJ/I4QQfmRaV/Ls1/3vbqouqFK3p+O8dnHi+j7qY+tp\n7pWNdEYdSxuWEjTX/y6c/Z3FspGqqguw27sB0OkMZGY+RVLSTRpH5l37HttHwx0N6nZoQSiF/y0k\nID7gsMe4XCPs2fMAe/euRlHs6nhwcAaZmX8gKmrlpMbsTS67iw0pG7B3uF9H/tv5xHwh5sjHuezs\n2/cwjY0/w+UaUsdNpjjmz/8tCQnXzuiLkd7eD6iuvgSHox+Yvr8/M81I4wilS0vV35fg9GBKNpb4\nZb84m62Z0tIljI62ABAUlMbChZ/5TY81b1NcCkPbhzyqdIbrh494nCHcgPkks5rUMS81n/AiEU7n\nELt3/4h9+x7Bs6rnC2NVPdOrr5mYPFLJI4S2ZkSSB2DXvbvYu3qsF4YOCt8tJOrMKE1iEb6p8txK\net7pAdwr/GQ9m3WEI4S3dXX9i+3br8Tlcn/B1euDyc19hZiYCzSObHK0/HGs6fDY22JIdgiF7xUS\nOGviCrLBwWp27LgFi+VTj/HExBuYP//XmExHTpZo7cAG54HJgZy05yR0homTM/39H1NXdyuDg9Ue\n40lJt5CW9iAmU/SkxetPBgerqaw8D5ttvP/T3Lk/JDX1FzM6AebvLJssbD19q1rRYTAbCJ4fTFBq\n0CH/GM2+V6ztdFopLz9NnYZrNEZQUrKRkJCZ83nrGHAwsGlArdKxbLTg6Hcc8bigtCAilkcQcbI7\nqROaG3rE98zj1d//8VhVz/iNCKMxgvT0R0hIuE7eR8QRSZJHCG3NmCSP4lCoOLOCvg/7ADDFmVhU\nvojAZJmO48+81etiYMsApYtL3Rt6WFKzhJBM7Xt5zCQtLU9TV3cr+ztHmkyx5Oe/hdm8dErjmOz+\nKZ/X9lwbtTfUqg0zg9ODKXy/kKA5E1eRuZcK/yM7d96N02lRx02mONLTHyE+/ss+/UW86ktVdL/p\nrtaac98c0u5PO+y+dnsXO3fefVBfotDQAjIznyIiYtmkxnqipvqcArDZWqmqOt+jp1VCwjUsWPAn\n9Hr53PNXnf/opPry6gOLLA7LGGU8bAJIiySQojiprr6Urq43APdUoYKCtURFnTGlcUwlRVEYaRwZ\nX/HqUwvWyqNokBygI3xR+PjUq2URBCQevsrzRB3qPcpd1XMf+/Y9xoEnXEzM+WRm/kGqesSEJMkj\nhLZ87zbPJNEZdWT/LZvS4lJG20exd9rZftV2Cj8oRG/y/xVqxIk5sBdP/BXxkuCZQoqisGfPz2hs\n/Jk6FhQ0j4KCtYSEZGoY2dRI/Goi+kA9NdfUoDgVhhuG2XraVgo/KCQ4Lfiwx+l0embNupWYmAtp\naPg2nZ3/AMBu76Sm5hra2taQmfl7goMPnzzRymjbKD3/7lG3k25IOuR+iuKirW0Nu3bdpU7fAzAY\nQklN/TkpKd+e1Cbc/iwwMIni4v9RXX0FPT3/AaC9/UVstmZyc1/DZJJKVn8Ud2kcC/60gB137gDL\nxPs6eh1Ye61Yy62H/PlUJ4F27bpHTfAAZGT8btoleFy28QbJ+yt1RtuO3CA5ICFA7aNjPtlMeEk4\n+kBtv5saDCGkpz9CbOyl7NhxA8PDOwHo7v43mzfnjVX1fNWnbyYIIcRMNWMqefbrW9/H1jO2qndR\nZt81m/kPyRLZM9ngtkE2529WtxdVLiIsP0zDiGYORXFQV3crra1/UsfCwkooKHibgIDps0zw0ej6\nZxfVV1Sj2N3vkQGzAij6oIiQBUeXcOzqepP6+m9hs+1Tx/T6YFJTf8bs2d/xqWTI3l/vZdcP3I2n\nI06NoPh/xQftMzhYTV3dN+jv/8hjPDb2EtLTH5HlwY+S+3fsW7S2/lEdCwnJpqDgPwQFzdUwMnEi\nFJfCaPsoI40jh/xj22PDZTtCucgReDMJ1Nr6DDt23Kxuz579PebP/80JxecLRtvHGiR/ekCD5CP9\nu+shLD9sPKmz3EzQvIkbJGvN6Rxk1657aW5+3GM8JuaCsaqeWRpFJnyVL1zzCTGTzbgkD8CeB/aw\n+4e71e28f+YR+6WZ2fBPwPZrttPx1w7AvcJP3j/zNI5oZnA6B9m+/Uq6u/+tjkVHn0NOzt8xGsM1\njEw73f/ppvqSarXnRkBCAIXvFRKaF3pUxzscAzQ2/vig8vqwsCIyM/+I2bx4MsI+JoqisDlnM0O1\n7qbJWX/OIvH6RPXnTucge/b8gqam36Io430qgoLmkpHxxLTtzzSZFEWhqelX7Np1rzoWEJBIfv5b\nhIcv1DAyMVl8KQnkXqL7XPX3OSbmQvLyXkOnM5zw65xKilNhcPuge+rVWJXO8M6jaJBsHm+QHHFy\nBOFLwn2yX9LR6Ov7kNraGxkZ2aWOGY2RpKc/NuOb3gtPvnLNJ8RMNSOTPIpLoeqLVfS87Z4uYIww\nsrBs4YRTI4RvOtFeF8MNw3y24DO1sqtkUwnmxWbvBCcOa3S0k6qqCxgY2KSOJSR8lQULnkGv13a1\nGC36pxyo94Neqr5YhWtorDdRjImCdwsILzn6xJfFsom6uluwWisOGNWTkvJt5s37BQaDdpVqlo0W\nypaVAWAIM7C8dTmGMPfFXnf3W9TX38bIyPj0SZ3OyOzZ32fu3B9jMPjnNEqtz6n92tv/Sm3tDSiK\ne/qIXh8y1tj8fI0jE8fqRM+pqUoCBSxpY/jOr6EEueeWBTnzyY59l9B5sT6f6HBYHFg+s4z309lo\nwWlxHvG44PRgjyqd0JzJa5DsLcdyPrmreu6hufkJj/GYmAvJzHyKwMBDT78VM4uvXPMJMVP59ifs\nJNHpdWQ/l82Wki3Y9tpw9Duovryakk9K0AdJf56ZZO/qvWqCJ+qsKEnwTIHh4V1UVp7L8HC9OjZn\nzn3Mm/dLuQsIRK2KovCdQirPq8Q54MTebadiVQUF7xRgXnp056fZvISSks1jS43/dGy1Mhf79j1C\nZ+c/yMz8nWYVMa3Ptqp/j78yHkOYgZGRJhoa7qCr63WPfSMiTiUz8/eEhuZOdZjTUkLC1QQGprBt\n25dwOPpwuYaoqrqQzMwnmTXrVq3DE1NIp9cRmBRIYFIgEcsiDvq5N5JADmc3jq/cAWMJHjpjGfnm\njynvqgV8qzG0oiiM7B5vkNz/ST+DVYNHbHCtD9QTvijcI6kTED95DZJ9gcEQSkbG48TGXsKOHTcy\nMtIIQHf3m2ze/BEZGY8TH3+1fJ4LIYSGZmQlz36WTRbKTylXe2DMunUWmb+f/o1ehdvI3hE+m/8Z\nisP9/1/0YRGRp0VqHNX0NjBQRlXVeYyOto+N6MjIeJzk5G9pGpcvsmyyUHlOJY4+9xQHQ5iB/Lfz\niTz12M7R4eFd1NXdSm/vfz3G4+IuJz390Sm96+ocdPJp0qc4B9x3w4s+zmNgzhoaG3+C0zmo7mcy\nxTB//m9kqd5JMjhYQ1XVeerFGcCcOXczb94D6HRyo0Mc2ZGSQCMtAyj3fxcKqtwHDAfBHY9C/dF/\nx5rMJJBrxMVA2YDHqlej7UfRIDkxQF3CPGJ5BGHFYZo3SNaS02ll5867aWn5ncd4bOyXyMx8ioCA\nxMMcKaY7X7vmE2KmmdFJHoB9j++j4dsN6nb2C9kkXDOzGr7OVPW319P8RDMAEadEUPzRwc1fhff0\n9LxLdfWlOJ3ulV70+kCys/9GXNzFGkfmu6xbrVScVYG9yw6APkRP/pv5RJ1xbCsjKYpCR8dfaWi4\nE7u9Sx03GiNIS/sVSUk3T8nFfdtzbdRe576LH3juTow/f4zBwUqPfZKSvkZa2q8wmWImPZ6ZbHS0\nbWzKZKk6Fh9/FVlZf5El1sUJURSF2prraO94fmxAR/yOP2AoP02zxtCjbaP0b+hX++kMlA6gjB6p\nTAfCCsYbJEecHEHg3EBJPB9Cb+8H7NjxNY/EsdEYTUbGE8THXyX/ZjOQL17zCTGTzPgkj6IobL9y\nO51/7wTcF1ELNy8kNOfoGp0KbR1vX4LRtlE2ztuoNrgtWFtA9DnRXo5O7NfW9hw7dnxNbbxpNEaR\nn/8mERGnaBzZwXylf8p+g9WDVJxZoS7Dqw/Uk/taLjHnHXsSxG7vZufO79PW9q4CNbQAACAASURB\nVBeP8YiIk8nM/COhoTneCPmwtq7YSl/ZXrj5afjiWx4/Cw3NIzPzKSIiTp7UGLTga+fUfu7m51+m\nu/tf6lhExKnk5f0Tk0neD32Zr55TAHv23M/u3T9St9PSHmLOnLs89pnKxtCOfgcju0aOvH+EEfMy\ns5rUCV8SjjF8ZnQ18Mb55HAMsGvXD2hpecpjPDb2YjIzfz/jVsyc6Xzxmk+ImWRmfHpNQKfTseCZ\nBVgrrAzXDeMaclF9WTULNy1Um4GK6afp/5rUBE/4wnCizj62yghxdA61qk9g4GwKCtZOekJhugjN\nDaXowyIqzqjAts994bPtom3kvJxD3MVxx/RYJlMMWVl/JiHhK9TVfZ3hYXcVY3//J2zZUsScOfcw\nd+596PVBXn8dQw1D9AW+DM/9HiL71XG9PoTU1J+SknKn5k23ZxqDIZS8vNepr/+2Ot2iv/8jysuX\nk5//NsHBaRpHKPxNR8crHgmepKSbmD37+wftNyU9gXodWHuth/15cEaw2kcnYnkEITkh6PRScXK8\njMZwMjN/T1zcZdTW3ojNtheArq7X6e//HxkZTxAXd6VU9QghxBSY8ZU8+1mrrJQtLcM17P7SEH91\nPNkvZMuH0TRk77azMXUjTqu7L0je63nEXhSrcVTTj6I4aWi4g+bmJ9Wx0NACCgreJjAwWcPI/NPw\n7mEqVlUw0ui+I60z6Mh+IZv4q+KP6/GczmH27r2fvXt/5bFUeXBwJgsW/JHIyNO9Eje4e8BUvnsD\ntqjPPMZjYi4kI+MxgoLmeu25xLFTFIV9+37Lzp3j1RYmUzz5+W9hNi/WMDLhTyyWz9i6dQUul/s9\nKjJyFQUFaycleXusSSB9kJ7wxeFqUse8zExA3PRukKwld1XPXbS0/MFjPC7uUjIyfkdAwPF9bgn/\n4cvXfELMBJLkOUDbX9qovaFW3c78fSazbp2lYURiMuz+yW72/Ny9RHNobiiLKhfJ3TsvczqHqam5\nlq6u19SxyMiV5OW9jtF48F1bcXRGmkaoOKOC4fph94AOsp7NIvH6429uOTi4jR07bsZi2egx7u6N\n89AJTdtxOofYs+d+mpp+jaLY1XGTK5kFBU8SG/ul435s4X0dHa9QW/tVXC4bAHp9MDk5LxEbe6HG\nkQlfNzKyh9LSJdjtHQCEhCyguHgDJpM2VbIHJoH0Jj2hBaHoA2Zug2St9PT8lx07vobN1qSOmUyx\nZGQ8SXz8FRpGJiabr1/zCTHdySfeARKvTyTpa+MrzdTfUc9A6YCGEYkjWb9+/THt77A4aH6sWd2e\nc98cSfB4md3eQ2Xl2R4Jnvj4qygo+I9fJHiO9ZyaSkGzgyj6sIiQnBD3gAK1N9TS8lTLcT9maGge\nxcWfkJHxJAZDuDre2vonNm3KpqPjpeP6otbd/TabN+exd+8D4wkepx79G1ezZNn2GZXg8eVz6kDx\n8VdQWPgeRqM7sedyDbNt28U0Nz+hcWTi83zpnHI4LFRVXaAmeIzGaPLz39IswQPj08EilkUQvihc\nEjxHMFnnU3T0WSxevI2kpJvVMbu9i+3br6S6+nJGRzsn5XmFEGKmk0+9z0l/PJ2wwjAAlFGF6sur\nsffaj3CU8Bctv29Rl6QOTg8m/gopGfamkZG9lJefQn//x+pYSsp3yc5+UVbs8ZLApECK1hep71MA\ndd+oY98j+477MXU6PcnJ32TJkhpiYy9Rx+32DrZv//JBy21PxGbbR3X1ZVRVnc/IyO7xH1Tlwc1P\nM0v3M0zB5uOOVUyuiIhTKCnZQFDQ/n48Lurrb2fnzu+jKCfWCFdMP4riYPv2qxgc3AaATmciL+91\ngoPTNY5M+Aqj0cyCBX+koGAtgYEp6nhn56ts3pxLZ+erGkYnhBDTk0zXOoSh+iFKF5biHHD3bIm5\nMIa8f+ZJfx4/5xxysjF1I/ZOd9JuwTMLPCq3xImxWiuprPwCo6PjVSXz5/+W2bO/q2FU05e9x07l\nuZUMbB6vNpz3wDzm3nvi/W26ut6gvv5b2GzjVW96fQjz5v2clJQ70OkO7tmvKA6am59g9+4f43SO\nNzs1GqJx/Ppr8Na5oOhZXLWY0DxZvdDXjY52sG3bhVgs432U4uIuIyvrOQyGYA0jE76kvv52j0qv\nrKw1JCZ+VcOIhC9zOPrZufN7tLb+yWM8Lu4KMjOfxGSS/ojThb9c8wkxXUklzyGEZISQ9ecsdbv7\nzW6aftM0wRHCH7Q+06omeAJnB5LwFVnO01t6e9dRXn6qmuDR6QLIyfmbJHgmkSnaROF/C4k4eXwK\n3O77drP7J7tP+ItVbOyXWLx4O8nJtwPu5LbLNcTOnd+ntHQJAwOlHvtbLJ9RWrqYhobveCR4EhOv\nZ/a2dfCv80BxNz6VBI9/CAiIp7DwA2JjL1LHOjtfpaLiTOz2Lg0jE76iufkJjwTP3Lk/lASPmJDR\nGMGCBc9QUPAfjwUYOjtfYdOmHDo7/6FhdEIIMX1Ikucw4i6NI+XO8bLS3ffupu+jPg0jEodytPPI\nXTYXTQ+NJ+rm/GCOzNH3ko6Ol6msPBen0wKAwWCmoGAt8fFXaRzZ8fGlXhdHYowwUrC2gMiVkerY\nnp/vYdfdu0440WM0msnIeIySkg2Ehuar41ZrOaWlS2ho+C422z7q6r5BWdkyrNat6j4hITkUFX1I\nVtaf6Xx6VB1PvOH4G0T7M386pw5kMISQm/sqycnfVscslk8pK1vO8PBODSMTWp9T3d3/ob7+DnU7\nLu5yUlN/rmFE4kRM9fkUHX0uixdvIzHxBnXMbu+kuvoytm//siSShRDiBMlV7gTSfpWG+SR37wjF\nqbD9yu2Mto8e4Sjhi9qea8PW7F4xJiAhgMSvzcyLTW9ranqY7duvQlHcvxcBAbMoLv6IqKiVGkc2\ncxjCDOT/O5/oc8dXwWr6dRMNdzSguE68VNpsXsrChaWkpT2IXh80Nupi376H2bBhNi0tTwHu59Hr\ng0lLe5BFi8qJjDwN61Yr1nJ3ZY8+SE/Cl6V6zt/odAYyMh4lPf1h9ld1DQ/XU1Z20kErsomZYXBw\nG9u3Xwm4ezSFhy8hK2sNOp18pRRHz2iMJCvrWfLz/01AwPhKth0dL7FpUy6dna9rGJ0QQvg36clz\nBCNNI5QWl2Lvdk/ziVwVSeG7hegM0p/HXygOhc8WfMbIrhEA0h5KY85dczSOyr8pioudO+9i377/\nU8dCQrIpKFhLUJD822rBZXOx/crtdL0xfgc06eYkMp/K9NoKcsPDO6mru5Xe3vcO+llMzPmkpz9O\ncPA8daz+jnp1Nbv4q+PJeTHHK3EIbXR2vkZNzTW4XO73Ur0+iOzsF4mLu+QIR4rpYnS0jdLSpdhs\newEIDJzDwoWfERAgN07E8XM4+mho+A5tbX/xGI+Pv5qMjMcwmWK0CUwcN3+85hNiOpHbLkcQNDuI\n7Bey99/ApO+DPhp/1qhpTOLYdLzUoSZ4jFFGZt066whHiIm4XDZqaq7xSPBERJxMcfHHkuDRkD5Q\nT87fc4i7Ik4da326ldrra1Ec3vmiFRw8n4KCd8nKek790h0YmEJu7mvk5f3LI8Hjsrlof6Fd3U66\nUZqc+7u4uEsoLPxAbY7qco1QXX0Z+/Y9onFkYio4ncNs23aRmuAxGMLJz39LEjzihLmrev48dj6N\nf1Z0dPyVzZtz6ep6Q8PohBDC/0iS5yhEnxvN3B+Nr1iz55d76Fnbo2FEYr8jzSNXXAp7Htijbqfc\nmYIx/OCVgcTRcTj6qaz8Ah0dL6ljsbGXUFDwX0ym6AmO9B9a97o4EXqTnpwXczyairc/3872q7fj\nsntn+WudTkdi4ldYunQnRUXrWLJkB3FxFx+0+mDXm104ehwABM0N8ugbNNP48zn1eRERyygp2XDA\nEtkKDQ3foaHhThTFqWlsM8lUn1OK4qK29voDVlvTk5PzMmFh+RMeJ/yDr7xHxcScz+LF1SQkjDfw\nHh1tZ9u2i6ipuRa7Xb57CyHE0ZAkz1FK/UkqUWdEuTcUqLm2hpGmEW2DEkfU9XoXQzVDABjCDSTf\nnnyEI8Th2GwtlJefRl/fOnUsOflb5Oa+Iksq+xCdUUfWX7JIunn8bmjn3zupvqwal807iR5wr5IS\nGbkCgyHkkD9ve7ZN/Xvi9YlemzImtBccnE5JyQbM5mXq2L59j1JdfTlO55CGkYnJ0tj4Ezo7X1G3\n09MfISbmCxpGJKYrkymK7Ow15OW96VHV097+4lhVz5saRieEEP5BevIcg9H2UbYUb2G01d1k1nyS\nmaIPi2SVJh+lKAqlC0vVxq9z7p5D2uo0jaPyT4ODNVRWnquW6QOkpT3I7Nl3H1TBIXyDoig03NFA\n8+PN6lj0OdHkvpaLIcQwqc9t22djw5wN+/sxc9LukwhKDZr4IOF3nM5hamu/4rHssdm8dOziLF7D\nyIQ3tbU9R23tdep2cvK3yMh4YoIjhPAOu72HhoY7aG9/wWM8IeErpKc/iskUpVFk4kj8/ZpPCH8n\n2YljEJAQQM7LOWrTZctGC7vu3qVxVOJwetb2jK/sE6wn5bspGkfkn/r7P6a8/GQ1waPTGcnKWsOc\nOfdIgseH6XQ60h9NZ/YPZqtjPe/0UHV+FU7r5E6raXuuTU3wRJ0RJQmeacpgCCYn5xVmz/6eOmax\nfEZZ2TKGhuo0jEx4S1/fR+zYcZO6HR19Lunp0oNJTA2TKZrs7OfJy3vDo/dTe/vzbN6cS3f3WxpG\nJ4QQvuu4kjxNTU2sXLmS3Nxc8vLyeOyxxwDo6enhrLPOIjMzk7PPPpu+vj6vBusLIk+NZN6D481F\n9z2yj85/dGoY0cx2uHnkiqKw55fjvXiSbk4iID5giqKaPjo7X6ei4iwcjl4ADIZQ8vPfIjHxq0c4\n0n/5Sm8Cb9DpdKStTiP1J6nqWN/6PirOqcDR75iU51QUxXOq1o3SlHU6nVOfp9PpmT//N6SnP8b+\nFQpGRnZRVraM/v5PtA1uGpuKc2p4uIHq6otRFPfqoqGheeTkvIxOJ33tphtff4+Kjb1wrFfPNerY\n6GgrVVVfpKbmOuz2Xg2jE0II33NcSR6TycTDDz9MdXU1Gzdu5Mknn6SmpobVq1dz1llnUVdXxxln\nnMHq1au9Ha9PmP392cRcOL6cY+0NtQzVSx8CX9L/YT+WTy0A6Ew6WTL9ODQ3/47q6kvV5ZJNpniK\nij4kOvocjSMTx0Kn05H601TSHhyfqmj51ELFmRXYe+xef77+j/oZ3jkMgDHCSOzFsV5/DuF7UlJu\nJy/vdfR6d38uh6OHiooz6Oj4u8aRieNht/dSVXUBdns34H7/z89/C6PRrHFkYqZyV/W8QF7e6wQE\nHLC4QPtzbN6cR3f32xpGJ4QQvsUrPXkuuugibrvtNm677TY+/PBDEhISaGtrY8WKFdTW1o4/2TSa\nn2nvtVNaUspIo/sCOLQglJKNJRiCJ7fXhTg6FWdW0Pu++85O0s1JLPjjAo0j8h+KorB79w/Zu/dB\ndSw4OIOCgrUEB0tPI3+279F9NNzZoG6HFYZR8N8CAuK8V+VWe30tbWvclTyzbp1F5u8zvfbYwvdZ\nLJuoqvoidnuHOjZ//q9JSfmeTO/0Ey6XncrKc+nr+wAAvT6QoqL1mM0naRyZEG52ezf19bfT0fE3\nj/HExOtJT38Yo3HmruboK6bTNZ8Q/uiEe/I0NjZSXl7O0qVLaW9vJyHBnV1PSEigvb39hAP0VaYo\nE7mv5qILcH9pHawcpOH2hiMcJaaC5TOLmuBB7264LI6Oy2WntvZ6jwRPePgSios/kQTPNJByRwqZ\nT40nXawVVraevhVbq80rj+8YcNDx9/GLe5mqNfOYzUsoKdlASMh4Yn3nzrtoaLhdllj3A4qiUF//\nTTXBA5CVtUYSPMKnmEwx5OT8ldzcf2AyjTd5b2v7y1hVz380jE4IIbR3QhOrrVYrl156KY8++ijh\n4eEeP9PpdIe8a3f99deTmpoKQGRkJEVFRaxYsQIYnxPsL9ulA6XwLeBh92tr/VMrrbGtrFjtG/HN\nhO2tW7dy5513evw85v/Gp9JxBgTPD/aZeH17+23gp8Bmxi2jqOi/GAyhPhDf1GzvH/OVeLy+/fUV\n6IP01N5YCy4Yqhli62lbGf7lMCSc4OO/DeyfuToPyqxlrMDHXr8G258/t7SOZ7K3g4PTGBp6CPgR\nUAVAc/OTNDeXc+qp786o95PJ2n7kkUcm5fvT/PlbaG19hv3mzfsF8fFXav56ZXtytyfrfJr87UuI\njDyNTz65AlgHgM3WTFXVecAXOOWUv2E0RvhQvNN3e+vWrWov1sbGRoQQ2jru6Vp2u50LLriAL3zh\nC+pFdlZWFuvXrycxMZHW1lZWrlw5badr7acoCjXX1tDxV/fda32wnpLPSgjLD9M4splh/fr16ocM\nuCsTthRtUbcXVy8mNCdUg8j8y+hoO1VV5zMwUKqOJSXdRGbm72dck83Pn1PTVcfLHdRcU4PidL8n\nB80NovCDQoLTgo/7MctOLlN7Yc3/v/nM/s7sIxwxM8yUc+rzXK4Ramuvp6PjZXUsPHwR+flvefTU\nEMduMs6prq5/sm3bJexfGi8h4StkZa2RaXYzwHR4j+rs/Ad1dd/Abh9fDCUwMIUFC56RXoIamI7X\nfEL4k+NK8iiKwnXXXUdMTAwPP/ywOv6DH/yAmJgY7r77blavXk1fX59H8+Xp+gvvtDopXVLKUI37\nFnZwZjALNy/EaJ5ZF8e+oPrKajpfcX/Ax10aR+6ruRpH5PuGhuqprDyHkZHd6lhq6k+ZO/f/yZf7\naa7z9U62X7kdxe5+Xw5MDqTw/UJCFoQc82MN1Q6xKXsTADqjjmUty7za60f4J0VxsWvXvTQ1PaSO\nBQWlkp//NqGh2RpGJg40MFBGefmpuFzu7zEREadQWPgeen2gxpEJcfRGRzupr/8WnZ2eDd+Tkm5i\n/vzfSuPwKTRdr/mE8BfHleT5+OOPOe200ygoKFAvAh988EGWLFnCFVdcwd69e0lNTeWVV14hMnK8\n+dl0/oUf3D5I6eJSXEMuAOKuiCPnpRy5SJ5CQ7VDbMrZtP8mJAvLFhJeHD7xQTOcu0nq+djtXWMj\nejIzn2LWrJs1jUtMne63u6m+pBqXzf3eFZAQQOF7hYTmHVsF3M67d9L0UBMAsRfHkvdantdjFf6r\npeUp6uq+BbjPM6Mxkry8N4iMPE3bwAQ2WzOlpUsYHW0BICgojYULP8NkkpXxhH/q6Pg79fXfPOC7\nDQQGzh6r6jlbw8hmjul8zSeEP/DK6lpH/WTT/Be+/cV2aq6tUbfTH0sn5fYUDSOa/g4sMT5wVZ/o\nL0RT8HaBhpH5vu7uf1NdfYV651avDyY39xViYi7QODJtTYey9WPV+34vVRdWqUlqU4yJgv8WHHWS\nVHEobJi9gdG2UQDy/5VPzAUxRzhq5piJ59ShdHe/RXX1lep7jk4XQFbWX0hI+LLGkfkfb51TTqeV\n8vLTsFrLATAaIygp2UhISNYJP7bwH9PxPWp0tGOsqudVj/GkpJuZP/83UtUzyab7NZ8Qvk6vdQDT\nScI1Ccz6+ix1e+f3dmL5zKJhRDPHSOMI7S+Mr+Y290dzNYzG97W2PsO2bV9SL7ZMphiKitbN+ATP\nTBV1RhQFawswhBsAsHfbqVhVcdTvXz1re9QET0BiANHnRk9arMJ/xcRcQHHxh2o/HkUZpabmavbu\n/ZVcDGhAUZzU1FyrJnh0OiO5uf+QBI+YFgIC4snN/Ts5OS9jMo3fdGhtfZrNm/Pp7X1Pw+iEEGJy\nSSWPl7lGXJSdXIa1zApA4JxAFpUtwhRj0jiy6a3uG3W0POUuNY9cEUnRuiKNI/JNiqKwZ88vaGz8\niToWFDSPgoK1hIRkahiZ8AWWzyxUnluJo88BgCHcQMHbBUScEjHhcdsu2UbX6+6y+Dl3zyFtddqk\nxyr818hII5WV5zE0NF75OmvW18nIeGLGNXrX0s6dd9HU9Bt1OzPzjzJVV0xLo6Pt1NV9k66u1zzG\nZ836Omlpv8ZolKn93jYTrvmE8GVSyeNl+iA9uX/PxRjh/qJq22uj5is1KC55o5ssthYbrc+2qttS\nxXNoiuKgru7rHgmesLASSko+lQSPAMC81EzhB4VqUto54KTinAp63+897DGjHaN0/6tb3U68IXHS\n4xT+LSgoleLiT4iMXKGOtbT8gaqqL+F0WrULbAZpbX3GI8Eze/b3JMEjpq2AgARyc18lJ+dvGI3j\nlaYtLX9gy5Z8envf1zA6IYTwPqnkmSRdb3Sx7aJt6va8++cx9z5JPniLorgYHKxky5anCd1tYbBi\nABQdpoRA4i+PB9wNr92Nr8f/eG5ziDHdAc2yD3fckR6bwx535MeeKKaJH/tIr7e9/Xm6u99S/w2j\nos4mN/dVuYP1OdOxN8GxGtw2SMWZFYy2u6dg6QP15L6WS8x5B/fZafq/JnZ+bycA5uVmSj4pmdJY\n/YGcU4fmctmorb2Rjo6/qmNhYcWkpv6EiIjTMJmiNIzOt53IOdXb+z6VleeiKO6KvZiYC8nLew2d\nzuDFCIU/mUnvUe6qnm/Q1fW6x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"text": [
"<matplotlib.figure.Figure at 0x12eae2b90>"
]
}
],
"prompt_number": 326
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Essentia's RhythmExtractor2013 algorithm generally yields much better results. I noticed that both algorthms produced some results where it was off by roughly a factor of two, which makes sense. I'm not sure what to do to correct that without introducing some other metrics to help decide between candidate tempos."
]
}
],
"metadata": {}
}
]
}
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