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Created May 17, 2018 08:31
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MAT 201A Homework 5\n",
"Chengyuan Xu, 18 Spring "
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['f']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"%pylab inline\n",
"rcParams['figure.figsize'] = (15,5) #wide graphs by default\n",
"from __future__ import print_function\n",
"from __future__ import division"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"from scipy.io import wavfile\n",
"from IPython.display import Audio"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Problem 1\n",
"\n",
"Download the four audio files below (find them on the box). For each clip, compute the DFT\\* of the entire file and then identify the index of the most prominent peaks in its magnitude spectrum. What frequencies (in Hz) correspond to the bins with the most prominent peaks? Note that `o.wav` has a different sampling rate.\n",
"\n",
"Hint: use the `fft.rfft()` and `argmax()` (or `argsort()`) functions. Compute one real FFT with frame size equal to the number of samples for each file.\n",
"\n",
"\n",
"- _glockenspiel.wav_\n",
"- _piano.wav_\n",
"- _tom.wav_\n",
"- _o.wav_\n",
"\n",
"\\* The FFT gets you exactly what the DFT does, but the FFT is faster; Use `fft.rfft()` to get the DFT of real-valued signals.\n",
"\n",
"\n",
"### Problem 2\n",
"\n",
"Using the same audio files, compute each clip's autocorrelation function and use it to identify the most salient frequency components (in Hz) in the signal. What frequencies are most prominent?\n",
"\n",
"Hint: Use the `acorr()` function and use the lags associated with the most prominent peaks in the autocorrelation output to calculate the corresponding frequency. Alternatively, you may convolve the signal with itself, reversed. Or, use one of these built-ins:\n",
"\n",
"- <https://docs.scipy.org/doc/numpy/reference/generated/numpy.correlate.html>\n",
"- <https://docs.scipy.org/doc/scipy-0.16.1/reference/generated/scipy.signal.correlate.html>\n",
"\n",
"\n",
"\n",
"\n",
"### Problem 3\n",
"\n",
"\n",
"Estimate the pitch of each clip using the Cepstrum\\*. Briefly discuss the pros and cons of the approaches in problems 1, 2, and 3. Under what circumstances would autocorrelation yeild \"better\" results than the DFT and vice versa? How does the Cepstrum pitch estimation do compared to the other two?\n",
"\n",
"\\* See the notebook named _Signal Modeling_ for a discussion of Cepstrum.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### glockenspiel"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 1"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dd5f5c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# read and plot the sound\n",
"g_sr, glockenspiel = wavfile.read('media/glockenspiel.wav')\n",
"plot(glockenspiel)\n",
"Audio(glockenspiel, rate=g_sr)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True fundamental frequency = 1323 Hz\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ecabef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# get DFT, it's magnitude, and map it to the real frequency (change of scaling)\n",
"g_len = len(glockenspiel)\n",
"\n",
"# DFT and plot result magnitude\n",
"g_rfft = fft.rfft(glockenspiel)\n",
"subplot(211) # linear magnitudes, number of bins (smaple# / 2 + 1)\n",
"g_rfft = abs(g_rfft)\n",
"plot(g_rfft)\n",
"xlim((0, 3000))\n",
"\n",
"# map to actual frenquency\n",
"# this prints true... \n",
"all(fft.rfftfreq(g_len, 1/g_sr) == linspace(0, g_sr/2, len(g_rfft), endpoint=True)) # all?\n",
"\n",
"freqs = fft.rfftfreq(g_len, 1/g_sr)\n",
"subplot(212)\n",
"plot(freqs, g_rfft)\n",
"xlim((0, 3000))\n",
"\n",
"# change scaling, get true fundamental\n",
"g_maxBin = argmax(g_rfft)\n",
"g_fundamental = freqs[g_maxBin]\n",
"print(\"True fundamental frequency =\", int(g_fundamental),\"Hz\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 2"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"max = 2000 , total length = 4001\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1089a5a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# by Karl, thanks!\n",
"lags, c, line, b = acorr(glockenspiel/max(glockenspiel), maxlags=2000)\n",
"print(\"max =\", argmax(c[:]),\", total length =\", len(c))\n",
"# xlim(0,1000)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"not sure how to analyse this\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ebfa780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g_normal = glockenspiel/max(abs(glockenspiel)) # normalize to get float\n",
"g_correlate = correlate(g_normal, g_normal, mode='full') # correlate with itself\n",
"g_correlate = g_correlate[len(g_correlate)//2:] # just care about the half because it's mirrored\n",
"\n",
"plot(g_correlate)\n",
"xlim(0, 5000)\n",
"print(\"not sure how to analyse this\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 3"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"log_g_rfft [9.88359092 8.64157399 8.46728772 8.40928553]\n",
"abs(ifft(log_g_rfft)) [0. 0.87252683 0.36496129 0.42698558 0.11226248]\n",
"\u001b[0;37;41mirfft\u001b[0m(log_g_rfft) [0. 0.7718762 0.67587197 0.18415575 0.1529466 ]\n"
]
},
{
"data": {
"text/plain": [
"(0, 100)"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c60d3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# log, inverse fft\n",
"log_g_rfft = log(g_rfft)\n",
"print(\"log_g_rfft\", '{:>60}'.format(str(log_g_rfft[:4])))\n",
"\n",
"\n",
"g_cepstrum = abs(ifft(log_g_rfft))\n",
"g_cepstrum[:1] = 0\n",
"g_cepstrum = g_cepstrum[0:len(g_cepstrum)//2]\n",
"print(\"abs(ifft(log_g_rfft))\", '{:>60}'.format(str(g_cepstrum[:5])))\n",
"\n",
"# can we do irfft? why not?\n",
"g_cepstrum_r = irfft(log_g_rfft)\n",
"g_cepstrum_r[:1] = 0\n",
"print('\\x1b[0;37;41m' + 'irfft' + '\\x1b[0m' + '(log_g_rfft)', '{:>64}'.format(str(g_cepstrum_r[:5])))\n",
"\n",
"subplot(211)\n",
"plot(g_cepstrum)\n",
"\n",
"subplot(212)\n",
"plot(g_cepstrum)\n",
"xlim((0,100))"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5 dominant frequency [5 7 2 3 1]\n",
"The fundamental??? This can't be right... 44100.0\n"
]
}
],
"source": [
"print(\"5 dominant frequency\", argsort(g_cepstrum)[-5:])\n",
"print(\"The fundamental??? This can't be right...\", g_sr / argsort(g_cepstrum)[-1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### piano"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 1"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c287588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# read and plot the sound\n",
"p_sr, piano = wavfile.read('media/piano.wav')\n",
"plot(piano)\n",
"Audio(piano, rate=p_sr)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True fundamental frequency = 78 Hz\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e17a4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# get DFT, it's magnitude, and map it to the real frequency (change of scaling)\n",
"p_len = len(piano)\n",
"\n",
"# DFT and plot result magnitude\n",
"p_rfft = fft.rfft(piano)\n",
"subplot(211) # linear magnitudes, number of bins (smaple# / 2 + 1)\n",
"p_rfft = abs(p_rfft)\n",
"plot(p_rfft)\n",
"xlim((0, 3000))\n",
"\n",
"# map to actual frenquency\n",
"# this prints true... \n",
"all(fft.rfftfreq(p_len, 1/p_sr) == linspace(0, p_sr/2, len(p_rfft), endpoint=True)) # all?\n",
"\n",
"freqs = fft.rfftfreq(p_len, 1/p_sr)\n",
"subplot(212)\n",
"plot(freqs, p_rfft)\n",
"xlim((0, 3000))\n",
"\n",
"# change scaling, get true fundamental\n",
"p_maxBin = argmax(p_rfft)\n",
"p_fundamental = freqs[p_maxBin]\n",
"print(\"True fundamental frequency =\", int(p_fundamental),\"Hz\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 2"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"max = 2000 , total length = 4001\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dbff2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# by Karl, thanks!\n",
"lags, c, line, b = acorr(piano/max(piano), maxlags=2000)\n",
"print(\"max =\", argmax(c[:]),\", total length =\", len(c))\n",
"# xlim(0,1000)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"not sure how to analyse this\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e190b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p_normal = piano/max(abs(piano)) # normalize to get float\n",
"p_correlate = correlate(p_normal, p_normal, mode='full') # correlate with itself\n",
"p_correlate = p_correlate[len(p_correlate)//2:] # just care about the half because it's mirrored\n",
"\n",
"plot(p_correlate)\n",
"# xlim(0, 5000)\n",
"print(\"not sure how to analyse this\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 3"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"log_p_rfft [9.98658712 8.33330271 8.36386475 8.7594051 ]\n",
"abs(ifft(log_p_rfft)) [0. 1.05199142 0.43688095 0.42992872 0.14177564]\n",
"\u001b[0;37;41mirfft\u001b[0m(log_p_rfft) [0. 0.7718762 0.67587197 0.18415575 0.1529466 ]\n"
]
},
{
"data": {
"text/plain": [
"(0, 100)"
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e2b82b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# log, inverse fft\n",
"log_p_rfft = log(p_rfft)\n",
"print(\"log_p_rfft\", '{:>60}'.format(str(log_p_rfft[:4])))\n",
"\n",
"p_cepstrum = abs(ifft(log_p_rfft))\n",
"p_cepstrum[:1] = 0\n",
"p_cepstrum = p_cepstrum[0:len(p_cepstrum)//2]\n",
"print(\"abs(ifft(log_p_rfft))\", '{:>60}'.format(str(p_cepstrum[:5])))\n",
"\n",
"# can we do irfft? why not?\n",
"p_cepstrum_r = irfft(log_p_rfft)\n",
"p_cepstrum_r[:1] = 0\n",
"print('\\x1b[0;37;41m' + 'irfft' + '\\x1b[0m' + '(log_p_rfft)', '{:>64}'.format(str(g_cepstrum_r[:5])))\n",
"\n",
"subplot(211)\n",
"plot(p_cepstrum)\n",
"\n",
"subplot(212)\n",
"plot(p_cepstrum)\n",
"xlim((0,100))"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5 dominant frequency [5 6 3 2 1]\n",
"The fundamental??? This can't be right... 44100.0\n"
]
}
],
"source": [
"print(\"5 dominant frequency\", argsort(p_cepstrum)[-5:])\n",
"print(\"The fundamental??? This can't be right...\", p_sr / argsort(p_cepstrum)[-1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### tom"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 1"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wObrFAYIgCIIgCIIYKyQOJxiO4v6GzKaatNFUIjX2EaIi6FPMUFHZhcvbnEOPYlQrLaHFbr58BgDg48umu+4jwkBH4/hlVOewUiEIQwGPKRRPhURmZIdTUCWJw/EkmR1bOKh4H0sVASIIgiAIgiCI8YTE4QRgbzsh/8wdOhY6acPLZtVYfhZCUAivoNfjmHMo5/XpYaVCHLqLukjAax6dE5rGTUdyVNVKjWO0V1hVJedwLDmHGVUXVo0VwRH3rRxHcSi/j33DYxN1BeeQxCFBEARBEARxZiBxOAFw1x+M6qVF+48sGIUhKESVqmmFnEPVxTmU+xyWMOpMV1B13ikr5QqOJqxU9ET0KtbbL2txDkuLw2gyh/98cgdufWxLUV5mLKX/PJrCPtm85tgG5FSQczL7EpkxjSWu0VCKwkoJgiAIgiCIMwOJwwlGFKGxYNMqo4kqFaGn4t87ntlj/u5QT1wSjVLOIedQGEZ0DoVQcwsZFW5lOOCFqnHHthiPr29F8/IVyKh5pA1nr6haqSEsQ37viOGpS775In63pR0v7u3G157ebfmdaKsxmuuWyWmojfjx+ffMhs/Dilzdk2FAKh7TNzw2cSiEZvIkQmQJgiAIgiAIYiyQOJwA7PpD/nm02mTjUWtzdPE8bnMQBQe7hwFYnT1N41BGUZAmmxeFbdzEoS5gRPhpzkFoCrF6w/+uQ8YQPl6PS86h33NSYaWioI9A9HlUSwhe+diDPg8qy3zI5fmoKrK68dGfvGE+jmfGJ+dQCOmxcLw/ieFRVr0lCIIgCIIgzl1IHE4EFjFYLMoYTr4gjXDrnEJQgYLwsuccKmzkgjRPbDoOwN05zErOIeAcWur36rfa4d6EFFZqPc+kIep0oTZ6cWjPyxMCbzQCLaNqCHgVVJTpxx5Lnbqo65HcwswY+zQKcSiE7li48u41+NffbB/zOARBEARBEMTbGxKHE8Abh/vMx3pYqVSQxug9KCPEVCmE8edmAIoKqHlLWCmkaqXFr9E+mETz8hXmz26CzS4OnfarNVptAAWn0eex3n6JjAqFAeVB74jVSusiAfPxoqZKy++EoErntBFFZjqXR8DrQdDrsRzbWMm4OJCbWwfw0t7uEZ8v3vOMqo0p1FWcz+r9Pac8BkEQBEEQBHFuQOJwAthwpL/k7+3lUe58do/l5/54cT6bcBfddIQYU7W1shA5h6qDqvyP3++w/OzmhglHMWz0OnRyGOWG96ZzaAsrjWdUhANe+D0jh5UmJFfQZxtHDg1NjOAeZlQNQZ+CgE8xfz5VIgEvrpxXX3Kcm362Hp97bMuIY6VzebPf5ViOaYj6JBIEQRAEQRCjhMThBKDZcgxlQacajell/rSjEwDQM5xGNJnDJd9+yWFMIQ5Lu0zWaqV6WOn2tiGsO9RXtO+GI9a8RjcX7lh/EkDpsFL5uSLc016tNJFREQl44fOykgVp1LxmEYB28SSHYg6nRxaHAa8HfsPFPNUWGpxzJLMqFjVVOB6THaeiPYJcXoOqcVSHdLd1LKGl1AqDIAiCIAiCGC0kDicASxipLUtQ43qRGCeWfWc13vGdYmEonqeP54xw7mSRpvFiIVoKJ3GoaRz/+PhWAAVH03E/SbSKqp5OOYchvwcBj4Jc3j2cUgjDf7xyFoBid1AWjiPlHWbUPAJexcyJPFWXLpXLQ+NARdAHr8JGDE9Nlih8I/INq0J6D8axFKUZTBScQ/Uk8jgJgiAIgiCIcw8ShxNAKXPPqc+hjJujJowoIahEjt93PnK+ZT9LzqFWyEV0QoSJmq/tIJzkyqQ1xms6icNZdRHzsXCz7Jcho2rwez3weRRwDsdQV/k4mqrK8I7m6iIBmMwWfh5J7KVzGgI+BYEx5hyKY4gEPAh4lRHzREuFuwpxK5zD0eScuiE7h/2Js8tF3HpsEM3LV2BH29CYxxpO5/D0m+1jys8kCIIgCII41yFxOAGUCivlGF3zdjvc5hzm8hoiAS8mVwaN19R/Y8859CjAjRdMxpyGCOx84aq55mOPwhyLxOzuiJqPP3zRFOO1i/fLSIJx0BApdvGnahp8Hgaf4eK5FsAxtvu9CsIBLxK2XoCpnGbmIaZHaE2RUfMIej2mc3iqYaVxI3w1EvQi4PM4ikx57FKOZsYQg1XjHFbaExtb78Xx5lcbjgEAXmspDmk+WX646iD+7bc7sPXY4JjHIgiCIAiCOFchcTghFERR+2DK+hvOi1pZjAZh4Am9ldf0qqfCGRTiMG8Xh4yBMeccOLmYaEXQ6yicMpKrJSp+Ook6uXpntyFS7BVSc3kNPo9i5v/l1NLOod8jxKFVaKWzeVNYjeQcZkzncGziUAjUsN+LgFexXBeB3GtwdM6he1hpNJXDf/x+B9oHkyWPSy5I86XfvFly39Hy+PpWfPLBjad8rQTivTmVxRA72wxROBaXlSAIgiAI4lyHxOEEYI98G48G5faCNKKwjWKKQ30/uViMLiD1fZx6KVpdRueQ1khQL0Jz3ycuLun4yc/d2xUrOhb9eRxepeAcjtRX0e9VEPF7i8NKc6oprNxaSghEQZqAS87hltYBfP+F/WhevgJ7OqNOQwAAhjP6exgJGuLQQTjFpOI44pi3tw0VXS/hdlYbYbppB+dw7YEePLm1HT9Ze7jk+Q1KoaRH+xIl9x0tdzyzB+sO9WFn+9jCQfuMHNXxcDSjKf36x8bhs3S2s6czOqIjThAEQRAEcSqQOJwA7DpMFhKnGlaat7WyUI1KpKLmC3dwDrnU59ApvS8vibdcXnN0ioRTU1nmM0M5HcNKcxounl5lHV+zi0MNfq8CvzGOmzjMSOLwud1d6BnOWJzPVFZDVZkhrEbMObQWpLGf41//bL0pwH6yxl2IiSI7NWE/Al6P4+Q9lpKdwzw6hlL48H2vY+5Xn7cdU+Ga6udQPJZwBF850Fvy/AaTOTRVBnHZrBoAI1ezPRnkkOJToSuaBgD0Do9dHArhfbZWZ23tS4zLtY+lc7jx3tdw26+2jcNREQRBEARBWCFxOAHYXTpLzuEIBWncEGOI2qd5QxyKEFXTOZRCOfV9dDHq5BzKolVvTF8stIQo8nmY2dTeMaxU1VATDli22cWhmud6WKlwIF2EnSwOr5hdV3SsGTWPylE4h5xz3Tn0ecyCNKVaaMydVJyXKbCIQ5/iOI7cViORUTEQdxYyoylI0xnVw5Hl4jtODCWzqAr5cfWCSQCAWKr0/iMhv7e9Dv02Ab0q6rpDvSXbdQAFV9NtnJNBCK/BcSi6E8+o2D4ORXIEr7f04b33rMUv1h0Z81j7u4YBAJuODoywJ0EQBEEQxMlD4nACKJ4yy24eL1lB1A3N5hwCgMJQ0jnMc+EuMscKqj9e02I+nlQRdHQO3zyu53oNpXJmawqnPodZNW+2ZhDYC9Lk8poeVlpCZOpj6dsDHgVLm6v1fTVZHGqoCArXzV3sCQFnaWVRQkyW6pnYbwi96pDfNecwnslJj1X0JzLm68ukbTmHTgVpuoZ01y2aypUsWDOYzKI67ENdRBfmfYmxCbE+Scj1DTsLsae2deCTD27Crzcddx0nl9cwbITW9o2DOBSCus9FcJ8Mtz+1Cx++73W09MTHPBYAbGnVPyMr93SPeay9Rmhzo1FoiiAIgiAIYjwhcTgBlGxlcYpjFlpZFLZ5FGaOt7vTyPPTrEJUz0t0dg5l3jOvHqrGi9ygRVMqAQCz68MjOociTFLgFFbq8yrmOG7FZORqpXZByjlHVtUKPQJLCCcxfsArFaQp4RxGU+75bAOJrBFaq7fFcKpWmpSOJZFRzRBIe7/HQp9Do1qpg2A9YYRkahzYdyLmelxDqRyqyvyojfjN4xwLn31ki/nYTdSJnNLXS1QhlUNs+8YYVppR86a7OlK7DrcFBxnRWmPDkf4xHZegcyhl+XdMYxnvu9czfl/d1P7j1DnalxjRvScIgiCItxIkDieA4smYJA74qeUcCnEnizyFMbMIybf+vBeAvc9hwTm0CzUAWDqj2nwc9DmHXYrG6l5FgdfIFbQ7giJ8M+z3mHmJ+n72aqUcPoUVqpXaXiuWzuGlvd2WgjQeY19xHOL4qgwhmsiquOv5/bh39aGi8xMiLOhzbmUhJn1XzW8AADy5td21EMhAImv2lnQrSGMRh9k8BowG9eGA1/G4qsM+y88yffGMmcO5t9NdHEaTOVSFfGYPyv4xuHSJjGoKvyVTK13F4eFe3XF743C/q/AQQnt2fRixtHrK/SXlsQDgcAm373eb23Dxt1ahbaB0hVdxL4y14I5AhAB3RdNjFhKikNHQOOVWfumJNzHz9udKCkTOOf79dzvGTSy/XYilc3jfPWvx1ad3j8t4vcMZfPe5fSUrGRMEQRDE6YbE4QRgb1/BrNrwlFpZ2PscAoCiFAvRvK0CqaIwMOZckEYOA3UTbEIIej0MXsV5n7YB/XwP9cTNdhf2YwF0gWfJObSFp979wgF87rEtZrif36vAZ7huOWMsIcrK/B4EfQriaRU/e+UwfrjqYNH5idDPgOFAMmZ1K0XY5AfObzS3zb/jhaJxAGA4o6LcqNwa8CmOIbiyMEhlVTM/TghvgXDBCjmHxcJpOKNiTkMECgO6Y2n89wv78YEfvWrZh3OOaCqHyjIprNQh7DKeUZHLaxhIZHGk111cLbpzJQDggimVmN0QcQ3hFAItmsqZTpedIUPQif6a/S5jPbO9Ayt2drkeE1BwIZsqg2jpibsKnfvXHcFwWsX6w6VFTrdxzMdHEJGjpUu6Bkd6x1YxVvTTHKsDLHh2RycA4ETM+X0CgJ7hDP6wrR1/e/+GcXnNk+Fbf96LlXtOnPHXHQ0itPvpNzvGZbyfrj2M+189gqe2tY/LeONNIqNi7YEecpoJgiDe5pA4nAA2tVqLSchSUM85LH6OXXDJDhxQEFrc5hza8xftfQ4VpvczdGtlsXhqJVrvutHirA0msqZTJ8I5vUohxNMu+kST8xf3diPoLwghu8OYzXN4PYWwUrvA2mxcN+FYBb0eM7xOVFaVXcWQ34sHXjtadF4CM6zU5wFjDAGvVdSJQin15QFcOrPGdRxAnzgJB1APK3V3DqtCPiSzedMFUm3vrQgjjQS88CrMsSBNIqOiIqiLvp5YBj9dexj7Twxbwn6zeQ2qxhEOeE2h6SQqzr9zJW771Tb8w2NbcNUPXimZwwgAX75mHurLA+iNZ4omiomMis5oGu+eqxcKcnM1o0nhHOri0KliaV88g3/5zXbc9utt2NXuXhlVOIdzJpUjm9fwjT/txZ8M0SMjPkMHuoddx0pkVDMX0r6Ic6p0DaXM63Gox/21R4NwlTKqNuZ2FvLntFTI60hO6+mifTCJB187in98fOu4jjua6zZSMSXAes+OR2uRA90x49+x3SOni2/+aS8+9fBmbKRiSARBEG9rSByeBVjaS8C5WqldHP7dpTPMxzVhv2POoQgZlVFtYaUexuBx6XOYN3olAjAFWzKbx0XfWoU5RvsFERrq9bBCWKnN8VvYVAEA+MFNS1AmuWR5236qpsHvYVJLDOf8MCESAz7F3FeEk8p5hCG/x/H5AhHKKPIN/R5rOOg+I4SyLhzAb//xcnO708q5VRwqjmGSqazeNiMS8CKZzZsTfXuorpholvk8KPN5inIONY0jmc0jHPCaIk0wIIUbCpEX8uthsxVBb1FYqbjGL+7txlajkbybY9ZcG8JfLGnC++Y3oD4SQFbViqqfCmfsmoV6ddQTUWfREbU5h04hqlukRZR7XjzgOI481uz6MADgkTda8cUn3rTsk9f4qHL/eowJf1NlEF3R9IhCeSQyah6JbB5LZ9TAozDXIjcbjvTjBy8eGNGVkXt6inYmTiQy6ohhoPK9UEoIn6yD6hSifirI4mus74PggXVHcP6dK3Gs393B/eaf9mLWV55Dl8u9ax5fvOC2jkc+qYiwONwzPv1I1byG1w71jZvTt9UoPlYqjJ0gCIJ460Pi8CzAvlI8mpzDR95oNR/r1UaLw0pzeQ22WifIS3l+clip04ROzXP4jFBR4RzahUrBOZSqjNpyCYUzVhP2W8RhUbVSVYNXCiu1iyYhPHYaLlLA6zFfU4hUq3NYWhwKR06EdQZ8VsdPuFVwodq7AAAgAElEQVR15brrdvv18x2vAaBP2iMWcejg9mVVhPwehPweJLMqEtmCCySTyuXh9ypQFIaAgzgUz4sEvGgoD6BbCgmUncGUJDIBoC4SQJ/NOYw5FNlpH3QWA4PJnFlBdVKFXi2zK2adFHcYk+QLp1XBozB0uzS4H404FMVlplSVFeWnyogqsmIsgezmdMfSZphyqaI1QrBfMLUSeY1jwddfwNoDPY77ZlWtyPW1I8RzTcSP2rDftcLrl3+7Hf/3csuIrpFFHKbcz2P5U7vwt/dvMPM/nZDfm84h97BSIQ4VNnLxmj9sbcdF33yxpPg62D2MTz+8qeQ+gLVnZaniRqv2duOzj2w286tL8eM1LVA1jjX7nd9TAHjodT3a4I2W0uK6Z5TXb7SIz+54hTP/38st+PsHN+LlEud6Mog815YS99TJMtLnB9A/k+PhzJ4s3bE0/u6BDdjTObZ+rqeLvMbxRkvfqFxugiCIk4HE4VmAyAdbMrWyZCVTN/SwUP2xPHlrH0wVVT+V/xZrmggrZY5/YKzOof6vfQW/4BwWVw4VCJEn5xOK8WVyos+hS1jptYsmWX52qlZacAM9KPMXCr04TWydnEP5NavDfvg9ChoNIRQxcgqdWlroTp4kMh1DQXW3r8wvnMO8cd7WfTM5zRR0ZX6lqOKqeF444MWkiqBlki+LLPFelRkiuTbiL+qtGHM4l5f2FbdcyGscsXTOrKAq8lHtzqFwCqdUlaE+EnDNZRPicFa9EIfFQkc4Y811oZKVYsXEcVadVRx2SG6O/PxSvRDFWDcubjK3bTMcVfvxz/va87jy+2vAOcfWYwO46WdvYHdHtGg/AKgIelEbCZjtS+wIIb/2QK/rsQH6RFl8X5RyDt8wxFSpAj3yokLHkLsgEfmgGreKUyd+tfEYYmkVfy6RJ/rrjcex5kAvHl9/rORYomATAOwp4VY99NpRrN7fg4dfdw8hB/RFD3HNjg+UdrQBYH+JKsCA1dkcq3OYzhXCzLtj6XFxX7cc0513exrDqZDLa+ZntKdEfiqgn8toiuo8tr4VF35zVcnxNI3j2v95FZ/4xYZROaDjmQ/5xzc78HpL/4j36WjJaxxf+PW2cXPB71vTgk88sBHP7S6dk00QBHGykDg8C5AbbnM49zks9TfP51GkaqXW3y2Zqle0nGu4KlbnUBd/HsW5II2qaWaoqBBQdpfLLEijFArS2B1BIdz8XmaKTTF+4fw4cpoGn8e9z6HfVr7f71Hg81r3NZ1Dj4KQ5FJqvPjY5RBU8a/sVvYOZ1BfHjDfj3Kjd+JwunhSHs+oCPutYaX2iYpwF8N+D1LZvFmgxi6CU9k8gj79mJzCSsUkMhzwoKEiaBEcTs6hcEZrwv4icSI7hw99aikA4IlNbVh3qBcv7C4UAommcuC80HtR9JG0O49dsTT8HgU1YT8mVVhdTZmhZA5hvweRgBeRgNcx5zCWyiHgVdBQHjQn9fesPIBHJdccKIjgmXVhy3a5RYa4ZtNrQiWLuYhrNrkyiAdu1q/HMQcn58mtetGQzmgaQ8kcnn6zA5tbB/H7LW3WczDuFb0okN+1iI94j3a0DYFzjqXfXoWfvXK4aL94Jo+p1WUASotDEeIsXKgX95woum+FcK8N+0s6X7Jg6hmh7YgY57VD7k7fLkNAHxyhj6QQ8eUBb0kHtN0Qtptbi0W8zL6ugivrJoY7pPBaUZnXjd54BpMqAubjsSDuyUVNFVA1XrL35+6OKK78/poRBZh4L0YKA20bSI5YpEl2cZ0+qzKf/+VWXP+/60YUuN9ZsQ/xjIq1B90XRFp64+gYSmHb8SEc6y/tqD6x6Thm3v6c2Xt3rIgFiZ0l8p1Phl9vOo4/7+zCx36+vuR+nPNRCchtxnmu2V96QWm0/PcL+9G8fIVjMTWCIM4tSByeZXDunHNY6s+sLg6d91vYVAGFAVct0NsxWFpZcF2IMqY/tuOUc2gP75HDSgs5h/YWFQXnUExoQn4PNF4o/JDXODjXRZ3f6ywO01IeH2O6m+lTrJVNC0VmFKy35VzZ/+AWqpXqE3O/V0FGOj/RQF5QYTiHUZtblstryKqaJedQ48UiOZnV8xJDfg8S2TzihgOoces1S6v5gnPoFFaaKYSV1kX8loUDueqnnHMI6OI2bnMKhXj5/ecvx1XzC87sJx/chM//slAIRISUicI2FUarELuj1zWURmNlEIwxVIX8jmGrgO60TK7SRU5e43jkjdaiyaSotFpZ5kM0lUM8o+LHa1pw57N7LPuljfe8ssyHz1wxEx++UHf95AmtLA4Hk1lsbh3A957bV3SviqJBZT4Prl44CZfNqrEIBkGLVFimbTCJQ926eNl3whoWajqHRsVYp0k/59wUB0f7Ejjal0BfPIu7nt9ftG8io2KKKQ7dRa64lu2DKezriuHWx7fis49usewjjmVhU0XJ0MPoKHtS9sczpuDc3RF1FQc9w/o+B0Zw5gaSWfg8DJfOqnUVapxz0znvcAmHFohw6cVTK11zLIXbPKWqzDUkWtATy2BadQjlQefFDUD/vvzvF/aPWNRHvP/nN+l9Y0s5kXevPIDjA0n8ZnOb6z5qXjPPdyRR9e7vr8HHf7Gh5DEOGi5umc9TUhyeiKax9kAvjg8ksaNEK5i8xs3v6v1d7qHUciGqTSMUwhFFqORFLScOnBgelfhqM67fvhOxkv1Rc3nNNfRcRlRBdlpclLl3dQsu+taLlsgHJ0S13LEWuRL8dK2+GDWa6sBjaT10uhHhtuOV+0wQ5yIkDs8yOOCoDkuFy/g8hbBQp/0CXk9BhEm/1uSCNE45hxo3wzbdcw71P5oeWRw6NLcH9Iqmhwy3QAgpIUqFuPN5pWqltvBU+Q+6z6OAsULxGtXBORQsmKwXxEnajl38gRMund05zKh5S+sNccwbj1pFZ8J08grVSvXnWycUcSmsNJVVLa0t5LYdunPoMY7NUyTI5dcTIYaC/hI5h2FDlMqIsFDhBH79gwstvxevPWi4VFWmcyhCbK0Tnc6hFJqq9DDcijIfYmkVXdEU/mgr938ilsbkSmu47huHrW6TLA6H0ypedJm0iGMMeBV8/S8W4svXnAcApvgGCi0gpteGoHHgq0/vws9fPYInNh13HEuE4k6uLLO0ohB0DKXNhZPOoRQOGrmCdqdUiGPhHDq17Ejl8ua90tqfsEyq5UmYmteQyuUxoyYEwDlPUyAc4mP9CTNfb9PRAcv3Qzyt58CKe+2TD250zDeNpnIWhyyvcaze1130XXPAEMZ/fclUDGdUx7BMzrmZq9cdy5R0cQcTWVSH/JhZF0LbQNLxuy2ayiGramgoDyCWVktOvDsGUwj6lJLiUIjbBZMrSoYfA/q1qC8P6EWhXATTs9s78dO1h/GNP+0tOZZ4LxdN0b+rTri0gAEKlaX3lXA2u6J6jm1dxI/OoZTrRFn+brG73jLifZrXWO5YpVggv+dO4dj28QCUdIWFQPJ7FNNxdkLTuBnS/fphd9d6d0cU1/3oVSz4+gsj5jG2DSSNdITS78fND27Cpx7e7FghWUbkxHZF0yXzBP/npYNI5zSsK+Gocs7Na3O0L1FyfnDfmhbc/tSuksfGOUe58fdr3aHSTuR9a1pw3tdeGFGEx9K5UYVbq3kNv9vSVhSSf6p84Eev4hMPbMQD646My3gHTgyjefmKoiJnBPF2hsThWQQ3/ufU57DUGtjB7rjZLsJpEuBRmJlrKIeVqnLO4ak6hxqHz6MXtREunj0sJSeFlQpE8RZxvJa8RJecQ1mYin28HmvxGjOP0OfBf1w7DwBwvdGnMGVrQG46h6IgjdeaK5jJaQj4Ch8RkXtoD2uMm05ewYHUn18s6sJ+D0I+jyXn0H6uaVWziMNUzi4yC85hrdHcXtDvkHMoxgoHvEhkVMtEQjiHFWX6+9FQYRWbQojancNCiK2tWmlfAlOqQsY+XsRSOfzdLzbiX3+73SKcRMguAPzeqAT7yQc3WcYS4lAI0tekoiSyaJIL+AAFsRmXhILsHAL6ZwbQq7TKpLJWQT2pIoie4eLJ3FAyi0VGFd4d7VEMJnPwexR0RdPW62vmHPpQGwkg5ZCPJSbKS2dUI53T8NK+ggshh3sKYV8T9qMm7HcUrYDuUItiS8cHkpaqpa2Si6QXSPLiry6eCgBYd6gP961pKRovlsphbkM5AN0te+i1o/jso1uK8grF8fzlEt25dQrHi6VVZFTNbO1RKq9vIJFFTdiPKVVlyKiaYyEhIeYunl4NACXdlvbBFKZUlWFatZ7DGnMQklHjPp9dH8ZgMltyEt87nEFDeQD1kYBrWOkGYyHp1UO9ZvsWJ4Q7u9BYyHLrD8o5N6/rwRLFi4RbeMWcOqgad628KvfdfLVEKLBw4c+bFEEuz11Dmg8b4/k8rGRYrhDDfq9iLio40RVNoS4SwPlTKkoWazo2kEQsraI65MPujpirsJcXqX65wT2XMJlV0RfP4tKZtQDc76tfbTxmRqiUCqUGCiI4o2roc8k9lu/JUmI4llIRz6horAhiOK265mSreQ13rzyAJzYdx6ES128wmTNb+Owr4eQCwK+M6zaSw/g3P9+A99y9xhJl4cQdz+zGfz65E//+ux0l9wN0ITxSzqtYgH6tRBGrk+HulXoEx0jinyDeTpA4PMvQcw6t2yqCXvBRpgE4iUOFFVab5eiYXF4zq5VqvNh1zOU1M4+wlDgUAlJRmB6aWSQONcsYQGEVVbiMYh+/h7mGlcoiSezjs7XPECLL52H4wlVz0XrXjeYkXhZjgENBmiLnUDNdQACYVhOCR2G4an6DZZykGb5ZCCsVz5cR7S5CAQ8SGRWJjGqKkEy+cGzprDWstKggTVZyDsutYm5ImiQIMS3CSsMBL1QpnAuQC6boAqwmZBWb4tyEcyjEod+roMznsUxmklkVA4ksZhktJSqCuuN3xHivhbvCOUfPcBoN5brYbpZyBWXnZyiZQ1VIF1UAzFYb8liAtYCPfp4e4zo5OIeGOBT02EIH7W7r5MogcnluaRGiX48sZtaFEfAqZuXL95xXr/cBlSbOhbDSgstrd/xEyN7ls/WJ6EuSYJVD/YSoLA960VgRdHUzhDtZHfLhWH8SL+3rMdt8yCGyiUwekYAHHzi/EfMbdfHnFII4lMphem0IPg9Dbzxjik375F/kI148oxplPo+jeBHv25Vz6wGgpDAYTOrOYZMRfuwU3itCPy+eoedWtxuFZtYf7scvNxyzfKd1DKUwtTqE+YYA29lWPPkeSuYQ8uu5vBp3Lj4F6N8d0VTOdA7dwm3bB1NgTP9eskcc2F8X0D8LAa+CLhcxcqw/iaiRi3u4J+7qGB0b0D9zV8zWRXibSwEeUTH2gimV2N425BouaDqHk/T7xE0Mt/YlUBH04vLZdSXDRcVn4D3z6nEilnZ1wTuG0miqCuK8xgoc6h52PV+RW/uRi/SFDjchubsziiVT9dBdEQru+LrGvbbM6G/r5oD9z6qDAPRicqXEXF7jONKXML8b3ZxrudVNW4n2MiLPVnxnuIUOy5/RUhV/xd/jOQ0RHOgedq0im8rmzff+9Rb3NimpbB77umLI5TmetkWN2BHnfKB72DVHHdAjCd53z1pc8d8vu76umi/8LWgdoRqy2L+UKwwUirYFvMqIoaqbWwfMe8KNVDaPTz64EcdHCPcmiImExOFZhlPOIee6aBwN7s6hEIeSc5gvhJUCxcVsZOdQCB57Q/ZcXjMdQ8AQMzYBaYaVehRMMSZ6i40/0KLXoSwgzT6HNnGVtoSVWh1NUdzGdCklISpCBJP2nENbQRq/V7EI0oyaN38nmNsQKSoqIiaQ5YZjJdxGWYTFMyq6omnUGi0NEtk8Urm8WeDF6hxKBWn8TgVpRLVSD6bXhPC+8+rx0KeW4vwpFZbQW7tzKNxa2bmKpXLwKMwUkDURqzgUry2cw8pQIQezPOi1TJ6FKBGOYEWZ1yK2hVAaTOaQy3M0SML2vk9cDKC4wmiFEY4J6BOgSiPX0d4DLyg5vAGvB36PYjk24Rw21xaE6MeXTcPBnmGLwE3ZwkpFyw775HAokUNN2I/JlUHsNwTOlfN0wSNPNmJpFUGfgoDXY56HfSIshOc7mvWJaEbVMMsQzHIxnLgUTjy5MoiOoRQWff0FfMkW7iQm8hdPrzYXX94zT1/QkCdfcm/OX33uUrxnXj1abe0gOOeIpXKoMnIme2IZvGkU0LJPbnqG02aBobmTIo7iUNxH8xrLURP2Y9PRAWTUPP5v9SFHR7Um7Mc0Q9A7Tfa6bc5hVzSF1r4EPv6LDfjaH3eb7w2g5xxOqS7DJTOq4VGYYx/IIeNca4xc44FkFj966SA+9OPXLK68uP/qywOoi7iHlXYMpnDVefq1F66aUzhjVAo/nlwZRJfLJFmEHH/04ilIZPOuBYI6h1LwKAyXNOvXpc0lH1M4lNcZlaA3HnHO6xNO3HnGIoLbJL4rmkJTVRkWTC7H/hK5euIz8N7z9M+MWzXa7mgakyqCOG9SBIPJnKsoFeLwg0smA4BrP9EjvQnMnVSOZc01JVtyiO+hpcb1cxOHIb8XV81vwLKZNTjcG3d1mjuHUsiqGt5jfEe4iUMhqC+YUlkyB1Q8/7JZNZbjtSMW1BQGbCkR5ivCya9bNAlZVTMX9OzsbB9CLs9xzcJJ6BnOWCIR7PsJXj3oLko1jWNf1zBm1Oqf8VL5scKpzOW567kc7k3oofe1IbQPpkbMjfzUw5tx5ffXuArEXF7DzvYhlAe8yKjaiLnDN/1sPf539aGSQvxffvMm1h3qw5V3ryk5FqAXK1zyjRdLhnx/5eldaF6+oui7243xrOh7tpHO5fGxn63Ht/5cOox/tCSzKv7m5+tx26+2jct4byVIHJ5F6CKwuM+hxnlRtdI7PrgQ3/jLRbjl8hmW7XJhmZuN33kUZm4vcg4Zg9BR9tBSOedQiDC7UMlr3Mw1BPT8PXuyv5lPqDBToCwyCi+Yok7l5ut4FL1Ijr3Pofza4niESMw6iEyBEL/2yapdPPk8zCLSsqpmab0BGO0gbCFLcpgnUMg5lMcSDkl9JGDJExStIVRbzqEQJ0GHgjRJ6fV8HgUPf3oZrpo/CSGf13Lt47ZcSCEAZQdVVFAVFVndnMNYKgfGCrmGgD6RlcPLxIRPiCDhRgpEaJooSCKEF1AQ1nLBnJgRViqLyGsXTjLGKEwS5QI+gkjQi3jGGlYa9nswu0EXXctm1uCq+ZPAubXdg1iAEIsC02r0xQzZecmqGoYzKqpDfkyuLDPPWTjUJ6Tej9FkzhS04n3vtfU6FBPvqdVl5v18qTHpkwWJRRxW6aI0kc3j2R2dFoEr8g0vml5lbrtxsR5aLd+7coXd2kgAl8yoRmc0bbmHktk8VI2jssyH+vIAdndEzTGEOyXoMcIsAf3zvas9iraBpFlVESiIoKoyH+bUR/D87hP465+uxw9WHcS9Lx+yXpdkDtVhH2bXR+DzMKza211UwVWEmC1qqoTPw9AZTVtypkQ4ZSqbx2AyhylVZYgEvJhZF8aPHUJoh5I5VIb8pkM+kMjiiU3HsaM9agkrE2KwoTyI+vIAhjNq0feepnF0x9KY11iOhvIADvfG0R/P4NLvrsa9q63nGk3p1Xt9HgXTakKuPSC3tw0h6FNw/fm6CNrv4rx2DqXRWBHEtOoQFAbXSe2JaAoBr4JPXtYMwN1dGkhmUR7wms6722S6K6rnEs+uj0Dj7pVSRb9PIZbc8s30CIOA6Vi2uLh9bQNJBLwKlkytQtjvcRSHw+kceoYzmFUfxnmN5Th4wt2JFCHSs+ojqA37HcXXYCKL4wNJLJtZg+m1YWRUzVWsCyFaEIfO78fuzijKg168c04t2geTrk6VcDZF2KvbeLvao2goD+D9CyaVDPMV5/f+Bfr3q9v7Jsa46RLdoXULVd12XBeHH182Dbs6oq75na39CcQzKm68QL+fS/U+XbGry1xM3eiwsAMUFk/+ckkTOC9ewJJpG0jitZY+ZPMa/rCt3XGfAyeGkc5p+Ng7pgEYKZS7cOwrdjm3F4mlc5ZUhpHyXh9b34poKufqRu7pjOLXG/W8+ffes9ZxH3kesvZAD2be/hy+s6K0eOKclyzCJHjlYC/Ov3Nlyb6xpdA0jiXfeBF3PrP7pJ73wLojaF6+oqhmwLPbO7GpdQAPvna0ZBi1Hc457lvTUrTo9Yet7dh4dAArdnW5Lji9XXnLiEPG2AcYYwcYYy2MseUTfTynE3vOIUexcIsEPLjlnc34xofOt2yXVy6FCFAYM/8IFuUcGmGl+u+sryELP7+3OKxU/wLh8NicQ7uYMUNGvYoZpiMEhGrPOfSKQjNKSXHo91jDXUUYjFk9VRKsjUbhkxW2HKl4VkVAKoDj89idQ63IOawJBywTdkCqHhq0h5UWjlesPF82q9Z01gCY1VDl103lCoVwynyeoklnIqOCMRQJoqDNZRTCLuy3OYdZq6MmtgMFsVoYQzXHKvN5LG1WqsN+S0XQgvsh8hK9kBG/Fw5jreRSltt6SOY1juGMisoyH6ZWF0JBr3EQh3IBH0HI70HSVpAmEvQi4PXgj7ddgR/ctMRcrZabjqdy1vOcUSscvMIfftF8vjrkM0MeF0yuMMXuiWjh2GLpnCmS3cJKhdiqCfsxx8jtu2npNFSHfJYCNnKVWiFKBXIIn3iOcNMAXTz5vYol1ymRVc0QXKAQ3iufa8EV10W6CNc7b1J50cSrN1bII71wWiViaRXv/v4afPQnb5jfG2IxobLMh29/RP/uEuF4cphfXuMYSmZRE/LD71Uwt6Ecf97Zhbue32+ZoJ2IpVEd8qHM70FjZRAdgykc7SsclxBxQiSKvGHRDsQ+qY6msqgO+VBj5PIe6h42Q1fl1huycyjO2f6+RlM5qBpHXSSA2fURtPTE8dj6Y4imcvjhqoOW71vhkgPA/MZyHOqOO4b27WyP4vymSlwyoxo+D3MVc20DSTRVBeH3KpjTEHF15k7EMphcGURlyIcr5tTi568ecexlOZjIojrsl+5xZ3F4IppGY6XuzgLu7UD64hn4vXokyfSakKMYESHaDeVBTBfOkovIPd6fNMP+ZzdEHCdyInRyVl0YcxoiGM6ormKuaygFhQGTygNoqipDh0OrFyFElkytMkWzLBDkv8ViAWrx1CrUhv2uomVPZwyLmirQXBtGLs9dHcuOIb240ozaECqCXtew4R3tQ1g8tRLnN1XiaF/Ctf1J11AaVSEfLphSCb9HcS12tL9rGDVhPy6dpYvSoy5u1fa2QTTXhnDRNP0+cFvEEJ/9D5zfWHIRI5XNY/3hfnxs6TTMrAtjd4fz8W06OoCqkM9M/ZCPL53LY+5Xn8MN/7sOAMzIgfKgt2huIBALWx+5aAoA698KOyJnd3pNyLUYk1hgEgv39rD6dC5v/p2MZ1Q8v0t3SzujaXNRVea+NS0I+T2YN0lvVWYv7vT/fr8D8772PFbs7ALnHN9esQ8A8It1zj1hM2oez+3qwszbn8Pcrz5f9LnknOP/Vh8y79//fekg4hkVD9l6zKayecy/43l85pHN4Jzj0u++hOblK/CsLW/zic3HEU3l8Oj6Y+Z39IETwyUd397hjHketz+1y/I5e+VQrzlXfX6EgkkyP3vlCO5eeQCXfne1ZcFow9EBBH0KFIaiY3fi7eTKviXEIWPMA+A+ANcDWAjg44yxhaWf9daDgzveXBovHVT60YummH+cZOdQrIZZwkql36v5QkEa8Toyej6h1aGTxUcuz6HmNfN3gO502cM3ZTfvqzcuwJ++8C5zcuaUcwgAAY9iuokCa1iptSCNEIU5rbha6TRDXAzb/jDKYXXiOXLVUHvOIQBUlnmL8pCE22V3DkVYqaZxs9LZpIqgo3MoC+F0TkPQEHSVZT7EM6plohjP5BH2e4v6YZbZXNtERhe/4hqFHcJK9WtQOEe7UyoEViqXN51HQXXI6hyK6yLcRTHZlV9L3k8Wj6LAjXDA5CqfQV8hJPNdc+vAGNArrfClVc0sKiQI+72W+zAuvdcXTqvCtJqQeV/IoUypXMG1BfT3tCrks0zSxDlXh/3mfTy1OmQWBxqQBJgoqgMUxLB9QjqYzEJhutP64C1L8f2/WoyLp1ejNhKw9KWU77NGyXUFrOXszbYIUysR9ClY1lyjX8OwtVpq0qieK5hpCOGjvbI41M+1POg1QwoB4OqFDYilVUs7jZ7htCQOC8IU0Fe4xfUA9Kq38yaV49sf1gXi3IaIZaIUS+Wgcf0aA8D8yYXXlics3bGMKVhm1ITR2p/A8YGE2fNShICLYjbi+P7h3bMAFDtlIs9VOIdvSP3/5OvS4yAO7SGP4r2ri/ixeJqe0yc7n7JbEZPuk/mNFciommMY7eHeOM5rLEc44MU7Z9fh+d1d0DSONw73WRaYuqJpc1FlweQK19zOrqGUef0+9c6ZAODY9H0gmUN12I+gz4PqkM8sBCSTzuXRn8hicmUQs+rCqCzzYUebczuL3ngG9RG9h+yipgrs7ix2DsX1bKgIYHKl7qq7Tc7bh5LmZ3FOvbM4FKGY02t0cQi4h592RvWcaK9HQVNV0FGk7WiLgjHggqmVZgVhIV4fWHcEy777kvm8w70Jc9Fhem3IMXxSzWvY3xXD+U2F8dzOt2NQz59ljGF6bchxv6FkFod7E7hoejUWNVWAc/cCUJ1DKeMaK5jXGHEV9ftOxDC/sdysvuwmDg+cGMaipkozJ3KPw/sL6M6m36tgweQKNFWVuZ7v1mODUDWOS2fVYKHL/cK53sLispm1mFWnv7/y8T342lHk8hx7u2Loj2ew4cgAqkM+3HJ5M/afiDkK5w1H+tFYEcSipgqE/R6Lg9wTS6N5+Qr83QMbkMyqePVgL6ZUleEjF03Bge5hS/58Mqviwm++iK8+vRvzG8tx65X6948cfkElubAAACAASURBVPvm8UHMv+MFLPnGi+gdzmDFzk6kcnl85Yb5AIDtx62fpVsf24Lndp3AJy+bge99dDEA4Bkpv/NPOzrxe6Mf7w9XHcCezhhaeuLm3w5ZiEeTOTQvX4HzvvYC/lkKofyvP1nbRt36+Fb8YNVBXHn3GjyzvQPbjg/B71HwWkuf5W+BXg1Yw8v7dadSLLD9xBat8TupHc/PXzmC25/ahet+9Cre/d/WkNu2gSSu+sFavHqwF198Qj8+kXpxSPoM72wfwjWG+/3DVQdde3YOJbP48H2v48u/2461B3pwz4sHzN/JIdU724fw/vmTcNH0ary8v9tpKJO9nTG87561+IE01luZt4Q4BLAMQAvn/AjnPAvgNwA+NMHHdNIMJLIlCzAAbmGlKAorlWGsIP40h8+CwuRqpYXtOU2DRymdc2hvZSFX88zmNUteIqDnatlXfcQqu8+jIOjz4IKplabotOccmgVwvAqyees4FudQFKRRRFipCE8t5Dea568w1IT9uGRGIcwOEJPjghAocg5zxTmHIb/X4rwBBdFZHtAnd2bOoXGt5CIxdRG/1TkMCeewcPHTknMoKnXKY9gFnaDM50Ey5+4KCiEgOwP2feyI9h+pXLE7Fwn4LGPJLhOgu0syQtzEbdcLkFtjqJbzFRPmRz69DPfctAQhv17YxRJWms2jzGd7nwKeIoe03HaeZX4PplaXWYpXpLJakSNrL/4iwkCryvz4ayO86u8vm46gz4PygNeSkxpLFyb9Po+CWXVh7LdNvAaMlg2KwtBUVWaGMNWG/Zax5PBl0evwynn18CjMMnkdSGQR8CooD3ix8StX49HPLNPHiwSKwlTl914Uy5AnzDFJHMqCb/FU/bMkT+b0sFJ94jG3IYLGiqC5cCSqror3Vdwjf3/ZDLTedSM+fNEUdAylzAmVyMMUDp6obgoAR6TV8Z5YGg3GZGd2fRhHehM41p/E3IYIygOF/oPivIVAf+fsWtRF/EU5dkOpHCrL/KYoFTlb755bZxFrvcMZMKa/R/VmuLBNHAqHPBwwC/BkVA2/uHkpAOA/n9xprnrLDrMQ4QdOWIXLUDKLoWTOzJu94YJGtA2k8IUntuETv9iIf/vtdgD6YlTPcNoUffMmlaNjKOXoCB4fSJoLi9csnIRlM2vw9JvFIXaDiSxqjO+iyZVljmGW4h6cUlUGxhiWTKvCdhdx2BfPmgs+50+pxLH+ZFHfThEyPKkiAI/CMLXaWQQBumMp3PQ5kyI4EUs7ttkRx2cXhw+sO4L/+P0OcxGuK5rCZKMlz5SqEDqHUkULt9vbBjG3IWJ+Hj0KMx2Ve1cfQl88i9VGuN3h3jhm1euv2VwbdjyPdS19yKgaljZXY4Zw8V0cxo6hlJm/P6PGebxXjFYYF06rMlukCAe5P57Bip1d5vl2RtOYYpzvgsYK7O2MFZ1vVtWwv2sYF0zRU0Jm1oUdcxPTuTyODSQxpyGCqdVlqAn7XRcJfrulDXMbIvB5FEyvCVmc4f54xnTLVu/vRsCr4PJZdVjUVIH2wVRRhdad7VF0RtO4an4DKg0hLj6znHPcvbIwaX9qWwc2Hu3Hspk1uHhGFTReXB22J5bGc7tO4D3z6sGY/t0sf89e+6NXAQCvt/Tjzmf24LVDfXj/ggZcMqManANvSmLulxuOmYuKy6+fjylVZagN+7FDquj88Out5uPH17fit5vbMKs+jJsvb4ZXYZbP0i83HDPDU//16nm42Egh+NkrhfYdojXUv18zD4d7E/jX326Hz8Pwvb+6AIBePEdcmw/+eJ3l3J/70rvx5WvmYdPRAfO781D3MFYZr+nzMPzLb/Tvm7tvWqyfr3F8TtVkb71yFpZfPx/7Twybv2/pGcaO9ii+esMC/M3SaXjkjVYzTLRnOGO+bkbN493fX4MjvQnc/NAmbDC+sx/+9DsAAFuO6T/3xzNoG0hhybRKs6bFvK89j+blKywLipxzXPjNVdjeNoSntnXgUw9vxpz6CP78xXcZ163fMt7iqZW44YLJ2N0Rw7bjg/jUw5vQvHyFxaVduecEbrh3HfrjWcxvrCg6/7cibxVxOAWAnJHbbmx7S/Gxn6/HdcYXihOapotAe5/ArKqVtKv1XkwibNS5II3mEFbKuS4chRi1P1fNa6bwE06cHFaaUzXkNG7J77MXpOGcmyEMssMoRGehkEwhrFTsKzuHubxmuS4Br0tYqVYcVgoAQa9SVExHzrnSX5tZxGE2b21lAejhiumcZrlWhb6DoiWGNaxUblXAGLO4PmJCI46fc45kVjXbYpjiUG7onrU6nuY5+qytOJJZqzNkVvG05Bzmi8Z6p7HaCxTaf6SyxXl95UGvJddNdpkAoKmqDE2il2HAaxbSsV8v/TnW1hiywwToE0ghxBrKA0U5h05hpfb8y0iw+JrNbYhgxc4uc990zlrcRpyH3FJCVK+rKPNiWk3IqIir/zGqjfgtLRfkcEEAWNBUUbQqP5jMmmJEps4m5uT+lktnVOM/rp2Hb31oEapD1jzY3ngGtWE/GGOoLPOZTqj92BIZ1aywK8adUlVmKdRROFcfLp5eZVbrtReQiGdUJLN5sxWKojCsv/0qbPzK1QAKIZexVA4VQa9lQQkoVMEUq8BCgAsH7yMXTcWbd1yDhvKApTl9dyyDRuM1ZzdEEM+oONQTx4zaEOrKA+brCpEthBxjDLPqInjqzQ7LZ28oqYeVhv0eBH0KOoZSCPk9WNZcgy4pH7M3nkFNyA+vRzHzLIvEYaIQPr20uRpLplbiynn1uHpBAz77Lt2lE9c6llLNdjJzGiJQGIrcEXGtxbW/2lghf84IPRN95waTWeTy3OxNOdcQQge7hzH/jufNFfCUUdBGruD7wcWTcbA7XrSIOZAo3KMzXJwqUV1TFBC6cFoVDnYPOzoyfcMZM4JiqRGCai8QJPJ/xILD1Ooys9/lPSsP4HGjpUI6l0dfPGv2TZ1T7+wKdgylEPZ7UFHmRUN5AOUBL1p64nh5fze+vWIfntzabrY/6BpKo8n4bp5SXYZkNm/5jHHOsaM9igun6ZNyn+EwHhvQRa743Ow13sMjvXGzYvCM2hA6o6mifLOntnWgJuzH++Y3oLEiCL9HwbGBBDJqHp95ZDPe8Z2XMJDIgnOO1v6E+b5Nrw055ieKyfuymTVorAiiJuw3czv/4bEtuO3X20wnW+9Pq5/vwqYK9CeyRffz/hMxZPMazpfFoeGmaxpH8/IVeN89a9HSEwfn+meaMYYlUyuLFglyeQ2xdA7DadV836bXhEw3K6tquOTbL2HZd1ajefkKPPx6K953XgPK/B7MM0Lv7SGUH7rvdQDA+4yQ0ubakOkcinvhc++aieqQD995bh/aB1O4Yk6duegli7mWnjiWfXc1AOCGxXo+5JTqwqJIVtVMsfe375iG329tRyqXx/XnT8aFhlATgjidy+P+V4/iijm1OPq9G/De8xrAGMOF0uJJVtWwZn8PPrZ0KpbOqMa9L7dg2/Eh3HzZDAR9HsybVI7dhsDhnONrf9Rz9HZ/4zqU+fU0iJl1YWTzmvl9drQvgfOnVOCz755pntPfvmM6rpxbj6BPMUNz73hmN9oGUvjyNfPQeteNaL3rRixsqsC7jAU50arlzmd1F/GPt12BP3/x3QD0at5XL5gEhQFvGgtp64zw2l9+9lK03nUjjnz3BnzlhgXmZ0WMJ1o2Xb1wEr5w1RwAujHy5Of11lYijPO7RgipPH986ctXYnpNCFUhH3YZAlu0+Fk8tQrP3HaFubAIADfcu8787n7wNX0+GvJ7cNH0KlwyoxoP3LIUi5oq0FQZxHpDVO80PitLplXhpqX63OOjP3kDaw/oiy7v/8Er0DQ92u8fH98KAFj5b1fiRuN+eavzVhGHDm3hiyMtGWO3Msa2MMa29PaWbuQ6EfzndeeV/L2YNP7cVnQBKG6LIFdd1MWf/tipX6G1Wqn1d3pBGsM5dMo5tDmH8h808UXklSZ6Aa9icfjkIeUwSCHezD6HZkGawuvZ8/DE+PLxiHHsuYtyWCmg9zIsaiZvE1k+j2KGIeQ1PZ/S7ykOVwRgaWAfz+gVKYVbaQ8rFZOKf7l6LgCY/fiAQtVWcdzpnAaNAyHjuMTkWG6PkHRx+wK2NiLxjGoJBRXHbg8rtY9110cX47/+YqFxnu5hpeVBL+JS38ThtGqpfAoAT/3zFXjpy1ca4rCQSwHAcu2DPgVehZkCM2pzDmV0cSiFleaKhavu8FpzDuWFAMFMI/zoya1t5nmW2c6zsTJo6RNXEMHFx2Z352Ip1XIOYtX7+y/sN7cNJLJFhYD0sWxiTuSQBjzwehR84aq5mFEbRpUtvFfP+woWjxcOmG6WpnEksnlzEUJgz9eSQ4VrIwGs/Nd343/+5kIzJFeIBDMHTwqZZoyhqswHj8JMkTaUzFoq3gpE4R+xMi/nYQqqw340VATQbbz3al6zOGSzDVEAANNrw3r/QdM5zJpjCN47X3fzRPGIaCpnNI7Xwx3FuNNrQphpTOyFEzFoVFIVx8hYcbiw6VaG/Wau66OffgcYY+ZkQ+Riyc5h0OfBFXPq8Oz2TsuEX7y2yA2ttVxrPWUgncubIZ9iEWqB0brjqW3tSOc0fOaRLQAKFUxFPh8AfGCRXrjoJ2ut4V+DycI9Or02hPaBFPafiOF7z+8zJ11iYi/ey4umFRyZ2361Dc3LV+Dmh/Repn3xgji82BCHn//lNnzkJ6+b3yciz084ZNNq9AqU244P4sdrWnDHH3ejcyhVJJrniuI1dnE4qAsgxvQ8+7mTIth/IoZVewvFNF7c2w3OOTqjKVO0zHZw1NsHUxhIZE0HHTAcvP6E6TZ7FYbdHTFEkzn0xbPm/dlcGwbn1nzXdC6PP+3oxOWzaxHweuBR9HDRI70JvHqwDy/v70HvcAZ/2NqOgUQWw2nVvA9m1IQs+YnRZA5f+LUeeqfnpipm+O6ezhgOdQ+bBWN+s7kNw+kcoqmcuVAp7hcxH8mqGpqXr8Bf/lgXX5cadQNm1kXQF88gls7h56/qjtXRvoTpYItQ8CXTqnCoJ454RsX+EzE0L1+BuV99Hov/60UAwMeXTQeg31d98SziGRW/dajO+W/XzDPeX/06ynnWtz+1E4AuVkRkzrSakCnmhBt08+XN+NL755rPu25RI2rCfsyqD2Or4UBlVQ1X//AVAMCX3j/XLCI0vSaE1j59cUK8x/d/8hLzuD5y0RRcPrsWFUEfmmtDpkv7zPYO9MUz+OJVcy1zoCXTqnC4N45YOoc3DvdhOKPiukWN+KAkLv7WuDbnT6nAno4oOOdm1dYvXzPP8rf7M8aC04FuPWfvzeNDWNZci5Dfi4c/9Q7MaYjg366ZB4/CML+xAnu7dPHzyw26W/dP751tud6Lp1Qi7PeY106cz4XTqnBeYzla77oR629/P8IBL+Y3Vpj31LpDvagN+81FZjHfuWh6FbwKM8Xcqr3dWNRUgZl1YUyrCeHId2/A0e/diKXNNbhgSiWe3NoOTeN41AhzP/jt603xOqeh3HJPA3p+rcL0Sr+MMWy74xq03nUjfvyJiwDoPUmjyZyZr7jzzmvx9D9fgT/80zsxrUYP0b5oRrUpMne0DYExfWG6Iugzi+F9zrjOgP63437j3r/7rxebCyxvB94q4rAdwDTp56kAirJDOef3c86Xcs6X1tfXn7GDGy3XLmo0nZBSOBUos2s+kRAOwOhTaISVOohDhUGqVmpVhx7FPecwm9dMJ0+ILXnCrWrc0ucQ0IWRHOftVvFKCMqcLaxULjSTkfPwjNcV10+8pnAOhbgyC9LYnImAo3OYd805FOdQ5BwGittiDKdVRKQQSbtzOGhrIA/oq43vnF1rOjfidcUfdVFEpuAcymGlxUINMJxDKaRXdyAL5+dUkMaedwnof6Q/ful0y3k6FX2JBLzgvLDPcDpnqXwK6MJqTkM5wgGP6VjGMyp8HmYJ2WWMWVpjlBaHQYt75BTyGvJ7igS8k3P4/4wFG1GSPZlVEfJZ9/v/7d13mBzVlTbw93aanhwVZySNMgpIQggsEFEECUQwBmy8axvbOK4zNix8TnidsNdh19+3ttfrxHptsNdhzRowJhiDA9EkCVmgiLJGk1Pn+/1RdatvV9et7ondkt7f88yjUU91d3XXdE+dPueeM7M+iu6hpPPhgteaSaVZW9eXyUj7pD+7nWqU8M1Hdjif8HYPJp3GRLrGqgh6hpLOdv2xFCLBQN462MaqcE5joIO9Mczw+CPVUhPB0YE4pJTOhy3uY79wag12dAw4QYk7EF4w1VpvVF0RQktNxAkIVKmQyhwqgYCwymPt7pS9w0k0VOYHwurE9KAdEDivGVdGdVpt1JlNebg/joyE8wdZDw7ntVTnBNdHB+JoqArnVDmo7J3KWB11NUpSweGM+qjzYZxqF69n0kJ2SdxvXjiAd9zxNJ61m1io+1bbqaAEsAIEIbKNSvpcGebrTpuN/T3DeFTrvKqCID3T9x9vWQMhgK9cs9Lqztg15GTcptWrsshKVEeCzkmgej6yQVX2g8apdVEIYTVzSDkfWKUxlEg7j2PNnCYk0hls/JfH8O9/2In/ec5a57T9yACqIkFMszN96oOv7z620wnAH325A4f7YugcTKCl1rq9cDDgvA6ffbXHOfE+YDddUe+BbY2V6BpM4H+fzzYP+fYfdmiNZqzjP6uxEpFgANuPDOR8ILi3e9jJalr714DN+/vw6MsduGjpNFx68nQ88NJh+7WecV5DKqutN0JSgZPqUAxY75t7uobwzJ5uhAICf/ea2dh2qN9Z56d+P9W/etnwo3YJ6LkLs+ctS2bUYfP+Xtz34kHUV4bRXB3Bg1sPO6Wcc1usx6KCxF1HB9E9mMCqz/4Ov3nhIGY1VTol5YCVEXz5cL8TXNy0YTH2dQ/jv5/eZ99etXO/6jEeHYhj0Sfuc24jEgo4Zdxq+91HB52M5IVLpjnZf7UmbNWsBkhprd/69iO5H3y3NlTmBF+A1VzoGbvkcfvnL8GWz2zA47de4JRbz26qQlN1BM++2g0pJd7+w6dw55NWMHnPB892brutsRIHe2JIpTN4ek83ZtRbjY3etm4uvvPmU3HvB892XuOnzWnCk7u6kEpncMefdwMAXr+mDTfagR9grQUeiKewr3sYj73SgVBA4Iz5zZhWF8Xu2zfh629Y5Wx7cluDs57wnhcPob25ygmqlZX287J5Xy/u33IY1RHrQ6Hrz2zHnOYq/PM1K5y/a8tb69E5mMChvhju+PMezG6qwvvOX5Bze+fZz+NfX+3BC/t6EU9lnK7X5580FQ/eeK7zgdZJ02ux7VA/hhPW0pm3ntme894IWO9rp821npdX7fmqH7lwEbysmm093kxG4o/bO7FuQUvOh+CAdW546pxG/HlHJ7oGE3hmTzeW2xU3QO6H5tec2oYtB/rwfx+2PqT6yIWL8nosAHZX7P29SKYzeH5vDxZMrcn7m7bp5BmYVleBz92zFSv/yfpA4pxFU3KWHinLZ9ZjX/cweoYSeGFfLxZMqXHOm77zljXYffsmfOKypdj5hUsBAB+481l88T7rg94rVs30fG6OVcdKcPgUgIVCiLlCiAiA6wDcXeJ9GpVoKP+kvhhpj6BPyR1ybygr9WhIY103e8Lywr5etN9yD7YfsTrlJdPSyciEgtbQc73OP+00pMn+GkVCgZzgUO3PrZec5Non6zpqv90jKCLBQM6cQxX8qWBBXS9bVirtfzPOY9a5AydAZeC81xyqbd1rDlX26Sva+oWBeConUHCvORz0yJTdfvUK/OSda51gWD1WtUalOi9zmLv2zJQ5jCWzJcgD8bSTgdRvU88cmm4rYo8UUQFWzCOjpoItlQnsj6U8AyZr27CzNlMFpO43+9poOC9z6G5qA1gBSOdA3PndiiUzHsFhbkMavTGMrjISxIKpNU6QM6w1A1KcwMVed+gun9VZTWSsYzWQSEHK3Mdw0vQ65yRBBaRq2Hv+bVmXqXV6prWmDXYQCVglRwe09Uju24unMhhMpJ3fgSrXsV86ow6xZMYp2eobNgfCLdpjdZqH1OZnLKdo5Z09huNQFw2hMhx0ApuuQevxuDOqU+uiTtZYDYpXweE0LTBd3lqPlprs/XYOxp2GQUpFKIi185qc7F12FEuF81wA1omeyq6pbJueSQOs1+nOjkE8uPUwbvr5C5BSonMgkReQKtFwEK0NldjdOYiM3ZlX/xDhoqXT0FITcU5UAStzOKM+mvO7ftHSadj1xU3OetG9XUNOt1yVOQwEBJbZpYDqffGRbR1OZ805WsAEAN/6+9VIpDL4zP9a7e7V75Y6sVSz9RQVbLx0sA8Lp9Y4J3kqs6nKx+5851oAcDKi+u/K+85fgBdvuxhCIFva2ZvN9AHZ4/HDP+/G8tY6vPH0Wbjryb1O19B2O1gKBQNobazEvz+6Eyd98re478WDSKat32kVsABWVm04mcb+nmGsndeMcxdNQUd/3AnU1Bo8lUH85K+3OGuP/3awH0Igp0nTnKYq9Awl8fttHVg6sw5r2q0gWnVNnG+X96rr/Nfje3Db3VtwwVcfwbvssrSrVmdXy5zW3oiDvTH88tn9uGjpNFy7Zhae2dONh7YegRDZpk/ztODwF3/dBymBv3vNbDx60/k57+2nzGpEMi3xrw+9gkXTavDWM9tRHQnidvvkVv0O1VeG0dpQia0H+50s4FkLWnDLJSfh8VsvcG5Pbf/y4QE89koHrjm1DV97w0oAVgZaHTdVTviFe7fi/i2HcfnKmU4G6E+3rHdO0lVwv6NjAH/c3okrVs5EKBhAdUUopxJCCIFTZjXgr69244v3/Q0P/+0IWhsq8bfPbsypNJjTXI1URmJ/zzCe29udM9rn4mXTsVQL7M9dPAV9sRR++ex+fP7erZhZH8WXrl4BncqEbj3Yh0df6cDq2Y2e1SMAsLKtHgd6Y9jbNYQnd3U6paTubQCrI+oDLx3GeYunImp3yv7DTefj2jXZfIhatvD07m48vacLlyyfnneO09ZYiam1FXhqV5eznlB1DXZb0daA7qEkfvzEHsRTGedDS7fT2puw/cgAfm1/AKRGIuXdXqvVnfp3Lx3C0YG4U5Lqdu7iKXjpYB9+aTfjumCJ9/1esXImwkGBrz9ojfB497nzPLdTWf0tB/rwwr5erGxryNtGCIFvvenUnMv+U/vQRKd+R57e3Y3n9/Zg5az82wOs99SbN2YrAc+Y15z3oe2x7pgIDqWUKQDvB3A/gK0Afial3OJ/rfLkXs9UyD9utIIqr4ygEhDZslI9OFTZs1Ag4JRd5pWVag1pVPe8h7YezhsQD6i5dtkgJS2tzKG+vs9d2phdA+j6VMrJHLrWHKrg0FVWqoI/9Was5jypmYgqKEykJSJ2GY0uGg7krMcD8tdchYPW85TJyGzm0PWCVwHSfz+zD9+yPwV1l2a6y0pVkOKV7QuHss+DHryq7JTXmkN3Oaxzv/ZJowqkB13BbyQUQDgonLV/UkpjwCGEQJXWeXbIc82hWidodxiNpYx/LGsqgk5AMhDzDkit0lM7c2g/Xs/MYV0UGZkt24sl8tcJVkeCzjzIVDqDgXgqb+6i0qatJfFqbqNODlUwcnQggVp7LIZbc3UEXYNxZDISvUPeAe4nL7NKdrfZc9ZMaw7ViY4qsfTK8gLWzED14UHXYALxVMbZ59x9s07WOwfiWnOb3Megsj2q9Kc/lkQoIPKOPWAFRGptoD7awetxqCCydzjpWVYqhLBLRq3b6R5KIBoO5H0gMa2uAkcHEkimM84xUyfxQgi0NlTiwiVTrUxLjRU0J9MZHB1I5JRhKu3N1U4TEZXxVcHhRy5chH+9bhU+cuFC1FZYwavKWqoZjIpq0jFvSjW2HxnAjo5BdA7Gc05W3WbUW42OvD5EiNizBx/Z1uG0v9/TOeSUTrplRykM4VCvNYZBPxbqRPTjly5BXTSEp3d3YW/XEGrtbry6i5ZapXY/enwPDvfFnKBZPZbaaBintzfh9Wva8MbTZ+GRbR041BvDc6/2OKOKFNVB9JOXLcVp7Y2oDAfxmxesx6PKT5XaaBiLp9Xi6d1W5nC/tu4PANa0Z2/79PZmXLtmFhLpDL73x11oqYnkvPfoz9N7f/xXfPexXUikMji5LZupeI0W5F64ZCpOs2//V3bHR9XtVQjhfLi54V8exeM7O7HlQC/am6tz/n6o+9x6sA+rZzdihf078ZMnXkV1JOgcI7Uk4i87O/HDP+/GDq0Lrv5BwvmLsyfOlyyfjrMXtiCVkfj2H3Zg2cw653hMqa1ATUUIOzsGcOeTr2L17AZ84aqT8/4GqhP2ZFpi/UnTUF0RwuUrZzp/L/SlKktn1uF/nz+Ax145irevm4v/esdr8J5z5+f8Prc3V6MyHMR/Pb4HfbEUzl00BXXRMHbfvgnffnP2ZFx15N68vw/DyTTeYzjRnzfFyqbf/fwBHB2I5zShcls9pxE7Ogadkr7Hbj4/7wNCldl8anc39nYNO0Gql/MWW1m3m39ulad++oplec+farD2p+1HsXl/n+/+qaDsGw+9glgy47ltQ1UEc1uq8f0/7cbRgbgzpsnLkhm1CAjgR4/vQTItnd9VnRACa+c14y87O/Hl31ofXrd4vOcB2QZfn7tnK6oiwZzXgk59kPnVB17G3JbqnOoMnVpn+ZXfvZxz+27nLZrq3G84KHDeYu/gsLE64jwfH1y/IO/YZvfPqqC7f8shdA4mjMHc6tmN+PX71uHBG8/F7ts3eW4DWB9kREIB/OKv+6zb094v3P7hvAXY9rmN2Pa5jbjzXWuN2x2rjongEACklPdKKRdJKedLKT9f6v0ZLdMvudtyu7uYen8q1JAmW1aavfx/3rcOgN3cJa3W0rnKSoVAwLkPOPfpFRzWVYZy1r6lMxmk0jKnhNOUAoZ2YwAAIABJREFUOXSXeapPvdTPnTWF4WxZ6d7uYbTfcg++8dAreRm93VoXN2smYjZz6G5GYz2OIGKuzKE7a+YEapmM8/jdox30dWs/fsKqhXcHO+6yUrUmx32iC2S7sybSmZwB8JecbH1CV1NhNe/ILSs1BIfO/dpBaTx/nV11RcgJ0uIpa32j122p/R3W1hy69191/1SBbH8sac4cVoRyupV6BYdWg5tsWWk0nF9CCcBpAKLWeJka0gwl05BSOoGQV6AJWEGOylQOe6xfVOVlKnN4uC+7zs2toSqMjLQ62KpmPe77VSfMh/piGIinkExL7zWHdjB31H6c/YbnrbE6mzlU++iegwhkM5FqXQ+AvN+PeVNqUBUJOp37VDbYq6SnsToblB7pjyMUsNYY5m1XFXE+3OgdSnpuA9hrSZ3Mofc6TJVt6uiPO02C9Mf6p1vW47vXW13s1IlR12ACnQNxpzumbnZzFToHE+iPJZ0gSD1P9VVhXLmq1SkHnVpnNUKSUlpz/7T9++xrl+PRm87Hj254DQDrA7ajAwm0VHufnAFW2erhvpgztsX9IcJ7zpuH1oZKfPcx6wR4T+cg5jRV590OYAVu1ZEgXu0awsFea6SIHmjceNFifOTCRXjLGXNwul0qtqdrCLObq/KObTAgcJd9snP/lkNOGaMePPzsPWfgy9esxJnzrZPAb/9hBxLpDM5ckHtS+NBHz8VvPnAWbjhrLkLBAE5uq3c6NM5qzA90185rxjN7upFIZbCnczCnDLSmIuT8rVrT3ohVbQ2YUR9FIpVxAgHl669fhX95wypnZMCX7DW+Z2jNtqbWRvHWM9sxf0o15jRXY25LNZqrI06XT/U6BYB3nzsfP3nHa1BTEcK7f/QMHnvlaF6woe/rOYtanGAxkc7glNmNOZme77/V6lj7prWz8adb1uPM+c14+KPnet5eKCBw7qIpOVmgsxZky0+FEJg3pRp3PrUXOzoG8fo1s+ClpiKEN6+15uup5l5vOC27rf637hy7RLGhKoyPXuxdShgJBbCmvRHP2Wuz3GWTuh/dYGVqaqMhJwvmFg1b3aMfeOkwhMg2lvGyYVk2g/XoTefnlTAC2eBQNS46udUcHFZFQviU/aHd61a35ty+Ul0RwpzmKmcN3NmLzEuXVrQ1oLWh0hkloV4nboun1Tof/qkA1bR/C6bW4MldXYiEAlir/R7rzrGz34Xov6uXLJ9hzHrps3IvXjbN8++Aehyzm6qw/cgAptmjZ7wsmVHrVHismdOUd36lu/3qFfj6G1biH1zls7o5zVWYVlfhfFDvlTlUVs5qcLoUm0TDQaye3eBk+88wHDelIhQ87jKGyjETHB4v3PPYTH753nV46Z82OCdpBzyG8CoBvWxUiw5VVzG9XDK/IU02q5c7AF4Fa9n9rYu6MocZq9uoCnCA/ODQVObpbiSj1gOq7Fo4KJwGAF974GVnTZ7Kcp6ufXIWDoicbqXeZVy5mUOrK2juKAunxDMtjWWlVdr2ai1Kv2s9m7pOwp059Dj2Ea0sVgVZX3v9SuckWAiBGi2gA3zKSu3bV+tsBjyCyGptFMegIUBwHmskmzn0avriLivti+WWxuXcr5YVNGU+a6PZANK0Ng3IBoeH+2J55c/OvtvrIWPJjG+Jqrpf9dx7NqSxA0HVlOZwX8zZBzd1H33Dyez9ujKWddEwAsLKBncPZmcmuqlSKtVgxKt5EGCdwMVTGcTsEjkAmNmQH7yqYKlzIO48XnfgGgxYi/zV+05fLGnMBjdWRZwPizr645hSW+F5ktZYFXa6LJrKewErI6zKSrsHvbOpemfQAz3DzvpHLyoY7OiPo1NrIKNT2Zz9PcPoHIgjIOBZ4gtY6x0P98XQF0shlZF5281urkJrQyWWt9bhvs2H0DkQdwJNL9ProjjUFzP+nlSEgnjbunY8b5f7Hx1IOM043IQQmGV3e9zvUVZcGQniQxcuRCgYwBnzW7Dz6CAe2dZhzEQunFqDZTPr8Klfb8EH73wWQsBz2wuXTEMwIPDDP+9GJBTIeV9Wj0H9HQKsJjVKa2P+CeSZ85sxnExj0SfuQ89QMmdNH2BlIE+Z3YD1J01FICCck/gq13tYY3UErz2lFf/n0iX45t+vxr9etwr3f/icvLLn265Yhoc+ep7zHK5pt06GaypCeb+nZy5owbfetBq9w0kMJ9N5WQU9eD5zfguEEE6Auc4VNK8/aRp2374Jn3vtyWhtqMRP3rnWGXWh2337Jmz/wqUI2WOgVEXAxctys0yLptU6f282Lvcu/QOAf7pyGf5y63rnJHnVLKtbowpWlWtPbcO7z5mHH7z1NOPrC7BO8AFrzd5UwwdmAHD2winY+YVL8eJtG4zbANkROWvnNhuzXoDV0XfnFy7F7ts35TRU0jVXR3LGaPhlDgGrocvu2zfha69fZdzmJLskuL4y7FQLeAkGBK62S4TXzGn0/GAYyK5BXzKjzsmwmlx7qhXIL59ZZxw/tUH7vbhXW3/pRZVq3mgI/gHr3PLv7P4DbztzrnE7IYSTlfd7XoQQ+PTlyzC9LopPXe4/qrwuGsZVp7T5JlSEEDjD7r/RUBXGkhm1xm2LpbKZy1vrCgaTxzPzq54mhDuDZhIJBRBBAPe8YC2+V59meskpK/XIMIa1gfLuzGEgIJx9UnNzgGywppfrhYIiZx5fKmONl4iGcxvSeJaVuoPDQO5awbjTjTRoP/7cN4SkK8g8tT37iVZYK0FNpDM5LY+VaDg3cxhPWfvu7lYKWOv/1OM3rTkE4GRA3CftoWAAAS37OpxMIxIMeC6A1stK9Tl2upqKkLNeL52RiCUzniWqTubQXnc46Ap+1W2poNCv3NW6PORbVlrjmTn0fnOu1YLDgVjK8w9hdUU2cC0URABWtiqWyv891R/TYCLlrJsz3Z7edTXm0XinMmIN/j7gZA7jeeVzijrB7x1OOhkh9/0GAtaIie6hhDbPL3/fskFpNjj0et70danudXg6Fah0DiacD5G8Ar9TZjfiB3/ahVgy7buOVGUErbl6cc+SUsAqn+qLpZygynQc5rVU47ebDyGWTKNryDuYm+IKDv26w6mTy46BOHqHk56ZSHX9Az3D6Biw7tP9QZYyta4CL+7vzWv44rZx2XStvMqcDZheH0UsmcHeLuuYqVEWumtObXO66wHWsTGZY3e3TKQzOV003S5cMhWf/Y21nlCt43MTQuDrb1iFi7+eHb3kdZJWGbHWTr7aNYSbNyz2DSSA3BN0d0AH5Gb2gPyg6m3r5uJt67InqZevnIkf/nm300TFy6UnF99a/rT2Jty/xZqp55UlWdHWgEtPno57XzyEC5bkBmjVFSF88XUnI641yHr4o+fhvs0HcdmK8WlW8djN52N/z3BOEyHACqp//sw+nDqn0TfIEELkZHWEEPjFe8/M2y4aDuLWS5cU3J83nj4L920+6GRo/Xh9cOT2ptfMwUNbDzul92O5PSEETm9vwm+3HMLq2Q3GAG0kLl46HfdvOYy3rWs3vk8oH7xgIZqqI07HUS+vP20WLltpztzp3rR2DvZ1D+WsRXSrjYbxp1vWYyiecrr2mtx6yRLceknhY/yFq07GF646ueB2t2w8CQ9sOYyvXmsOrgHr9TiS12Qhb1s3F//z3AF85oplnudYI/X2dXORzkinO+mJisHhJCsyNszjv+ZQKyv1aEgTCgqnbDPt+rE+ykIREM44Db2c8XHXwOh0RnqXlaat4ESI7AiNvDWHTuZQlYvmBmMRV4Cntps/pQZ/fbUnp4woFAggmdHKSgMemcNQ7igLr6xZWMugqnUY7kyvHkipkrruwUTeCa8eJA8nUsY/TPp99hlGJFRr6/VU8OT1yaE6IYmnrLLYdEbmnYBtO9zvDH0fckYj+GUOU053y7yyUpU5dIJDcyChyllVmWebR0lZVSQbuPoFh2pcwpG+uHNMvUZZAMBQPO08r6asZm00jHTGyiR7lZUCVuniod4YpJTo6I/ndeVU1D73xZJOUOp10q+ybu55frrKSBB10ZATjPQbnjf1IUX3YBIHe2OIhAJ5zVeA7JoxlSEz7dvq2Q34zqMSLx3sQ9+wuVS4sTqCjLSO1SuH+531iqb7VZ0+Tcf1pOl1SGckXjk8gO7BhGfZoXrej/THsb9nOKf0z02tMdzVMQgpgXqP57jNDg73d1uZw2afMtB5U2pw74sHsdNu1tPqkZ0FXKWLht8TINsN9RX79ei1JrahKoItn9ngdBc1NZgArCzo77d1QErpmz3SA4vLV5qDlkXTavGXW9fjjC8+nJPxc/vm36/GI9uO4O3rzJkFZdVs/+xNbTSMn737DBzstbKf7nJRt1PnNOKxm8/PKZMbC/X8tvvc7/9742oMXu29vvqNrkAgEgrgylXjN5I5FAzkBYaAdRy7BhOe5ZATaWpdFL/98DnjdntnzG/G3z57ybjd3ocvWoiXDvbhliKCoGJcfWob1i1oyWl+ZRIKBvDWIl4TXh+SeKmMBPGZK5cX3M6rGdlkmNVUhZc/P37HrlgrZzX4riMcqUgokNcJ9kTE4HCSmWq2C/GJDe3MYbYb6fmLp+Cq1W05P1drFvNHWQjPbKZqT65mJ3mxZgFmcgI/p6QynUFFKOiTOcxdc+gODt2loWoO4lWntOLqU9ty1jeEg9my0mRaOtk4XUU4t1GOGquQmzkUzr7HTZlDbfuuwQRS6Qz646m8LEdFOOBkQ4cS3qMn9MeZSEsnyHKfjFuBlXuAvHnNYSyZ7UZpKj+JJdNOoGkKXCsjQfTHUoinMpAyf7tae3xHvxb0mbuVhpDKSMRTGWNZbI027qJnKOkZCAHWm3dTdQRH+rNDyd1BvBoFMpRMGcciOI/D3ueuwQRSmfwSVcBqHrK/Zxg9Q0kk0hmnXb9bvUdZqVcw1FAVRvdgwnOen25qXdRZQzIQM3crBawM2atdQ5hZH/V8n6kIBVEbDeHoQML5pNqr1FZlnbbs70XHQNyYhVJZvFeODOBgbwxXa+85OpXB23l0wHnsXlRJ0NZDfdaaQ4/nRAVvHf1xHOyNGTO41v1GnP0DrPJWr32L2OubD/f7l4Eum1mHjMxWWJiylvqaKjWw24sqEVQf1piC5uqKkL3eyT9QWqiVFrYX2LbYk6kZ9ZV49KbzPT9EUJa31ueUjha6vXecNde3+YbfMfUyXoEhYP3uf3D9At/sTCAgjKXWpRIOBvCOswtn7040J02vwx9uOm/U511evGbIEh1vuOZwko32Lcq3IU3AKiuVUkJK6w/cFdonwsGA0OYc5t6OEPlZPSGyTR6mGxYWq9tKZ2ROGaf6PllgtIT6v9ounkojFBDOvuQFh6qbaSiAtfOac97sw9p8wmQ6g7BX5jDsyhw6Gbjcbp5qn9SaQ/eC6abqCP7z7afjwiXT0DmYcBqouLNSetfWIUM2CtDXOWaMwYTexbOY4DCeyngGvwDwZbs998HeGIbUNj5rDocT6WxDHXcAZj93/bEkhhJppDPSp1tptgR10DVfMnt7IQwnrdvp88kcAnbzkv64c5y8SkEB60MAv+wckM3UqgY3XsHyjIYoDvbGnAHspoY06iS6dziJvlgSAeH9/DZV25nDAoGrmpuYyUh0DiY8SzdV18zrv/8k7tt8yDNDpqjxE/2xJIQAajz2bUZ9FPWVYWw50IeDvTHMNJwMTbP35ft/3AXA3KFOBWk77a6MprWfc+zuh8++2oO+WMqzgYzKim7vGEDvcNK3rLSmIoRIKIDtR6zgy+v4BwJWM49Hth3BC/t6fDNza+yf/fKv+xEMCM+xHYD1u3hau9WAZMUsc9CUzRxawaupm26xztFKWMdzrczs5qqC66FG4hOXLc2Z01tOggGBGy9ePK4BJ5XWeAaGRCcKBoeTLDABb1QBYZWTqsDPHYhZP7e+dzekCQrvzOHf2eUx12jZgDetzS2ZSWWsURZBvSGNyoSlsg1iAOStA1TBn9rnbz6yw9kWyA/K1Am+V7OZkNaNNZU2NKRxzQB05rx5lJUmUhnPbq3KOYumYG5LFY7aa5mA/BPe3LLS/JLM7H3aQXIqowWa+cGhMwbCCejyb88pK9Wygu7t2uz28Yd6Y842pqxmdSSEoWTKKUl2B4ehYABVkSAGYinfwfDqMQBWIDmY8B5Ir7YZTKR8y0oBK2t1pC+G4UTGc99U8DmcSDsz80wZK7XPKkPntbZqRn0leoeTTmlkwbLSYesx1FWGPdfGNNjr9boGEwgFhNP51a3FnhGo1gl6BaUz6nIDpLU+mRcr2Iyjz+6w67VvQggsb63Doy93IJHKGD8pV/vy2y2HMH9KtTHjo8o7VYMp03EN2msx73zSGtZuOkGfP7XGGe8w2+ckXgiBtoZKp7mO6fifPrcJLx8egJTZpg9+jwOw1oP6rTn67vWn4b4PnW0MIIHs87ftsDUzz+s1MRL6cfLLWBIREflhcDjJPJJaRfH79EuVlarYyn3Oks5IZ92VV1mpOslRQWI8lYGEHWhqQZ27bCyjykq1OwyHspkwdd/W/eQ+cHWfai2hOzGqgkGlywkO85+HiNaNNWkaZaGtxwOyHTY9G9KkM8Y5h0pLTQViyYzTwTK/02DAyWoNJVLGAMzJoNrZMiD/JFHPHA4VnTn03k5lT3qHE86Ae79RFkPxdDY49HgMNRVWp89+w3pJfTvACsCkzJ+vp+9H71ASg4m08WQesNrQWw1pVObQ3JCmeyiBumjI80MDIJv17bCzgl7HSq1te/ZVq/OdqaxUtdtXDWlM2SDVwbPL7sppen23VEdwdCDurDv0Cjb0uYF3vnOtbyOJ5horE1ko+F49u9FpwOM1MxHIzZ5euNTc5nxKkcEhkB3hA8C4nlCfteU3awyw1gmq5lKm9YQ3bzwJs5uq8MELFho7HyqvX2O9B3p1g9XVV4adbsYm+trQxipzI5yR+NrrV+INa2Z5zpIkIiIqBoPDSSZGWVjqV1Yq7G6lat2hOxvw+20d2GcPjXc3pBFCOMGUKj1NpDJOhjEn8HOdXKfshjR6wGbKHLqzk2FXt1K3Z+3200qPHTh5neDrJZzJjPTsWKUCpyN9cay7/WFsPWiVmtUY1hzGnO6phoDCPsHd3z2c83/n/rTRGVbm0DsAE0I4wW2v3fzDfZI4ta4CHf1xpDPS2NHU2lcVAKc9g18gmz3pGUpmS0+N3UqtURamslLACmQHEikn61koc6jGMpjKSoHsOlffslL7ORky7JvTkCaRMo4xyO6bq6zUkDkEgOfs30tT5lAIgbrKMPpiSf+Oq7VRxFMZ7O4c9OyiqbTUVKAvlsIOuwmKqRHCJzYtwRUrZ+Z1e3RrrqlA52C8cHColVeaSssrI0Gno+oKnxlidZUhhIMCrxwZQECYS3IB4M1ntDvfm9acXn/mHKxb0Ixf/sOZBdd+6eWVpgxoTUUIj958Pm68yNzSXVGNXkydWUdKPRdeJbSj8brVbfjSNSvG5baIiOjExIY0k2y0VaU+/WicTKEKxIKuO9GDp7zMociOlVDxpz4OIiDMwWE6I605h9rlEa0hDeCz5lAFpPY+r5zVkDMfUf8eAHqHzGWlFdp6wmQqk9fpFMiWCn7ld9uwv2fYGYrsOecwlXFGJFSEvYPDGieQsYIdd1Ckl5UOJdKYUW9uVR0OCrus1DvT1NpQhVRG4nBfthTUK7hS2bNYMuNkkd0NTNTswJ7hpPN7UmXMHFprAJ0AzJA5HNAyh6aOoCobqjJgpoY0AHCgt3BwOK22AqmMdEY3uEtBVcA7EE9bcwl9ApJa175FPR6nmsn2xK4uz/vT1VeG7TWHKeNjUIHKSwf6sHSmuQ3/GfObgQeAD931HABzYFVsM4qW6gi6BhPoHsrvsKtbPSsbHPplyW67Yhme3NWFC5aYB1YLIdBcXYFDfTHMqK80ZnAB5Kz5m2KYc3bS9Dr8+B1rjbeh04NDv4HLxTpn4RR8/NIl2LRifFqxz2yoxEsH+3xnuhEREU0mZg4nWTFrDvVAQ31vamgCZINBUyB2/ZntAKz2+u6GNIFA/igLU+bQXa5pdSuVCAfyM4fOGkBnlIV3t9KkU1YqMV3LiqiT52tPtcq4VObQa32k1WxG3Z9hlIVrQLySM8pCb0hjWGenqONyxC5FdDcd0ctKh5PmbqXqfpPpDPqGvYOJGfbJ+YGe4eyaQ4+yzGzprJY5dO1XNBxAJBRA91Ai263U8BhVgKVKej0zh3bJa3bNobnjIgAc6o0718u/v9yA2y94Ueu/9jvBYe4xV2V1PYMJHOmL+WarssfSnDnUm7K478utLhp2upWaujyqgMtqvGIODNa0NzmDl4GxZ6yaayqQkcCeziHf51cvS/RbN7dx+XR86vKlvsEykP199Rp8rqupCOEjFy7C116/sqi5aIWo4FB/DsciFAzgnefM822EMxJq/8br9oiIiMaKweEkKyZzqG/yxddZw0e3Huo3bq9OolS2zh2APvpyBwDg87/Zmh8cesw5TKQyThOHgEfgp1hlpbmZQ5UV2NUxiHm33oNvPWLNS9zbNZRzXfcoC3fTFrU+aZmdVVGNX7w+/c8pK01LJ8jTqRN61YZeMa05VEGk6aRXBRSdAwnP/aqwG+B4PTa3cDCARNpac+gVTKimG3/cftRzPqN+n4C15tC0NlEIgYbKMHqHkvjLjk6EPD4cUKrcwaEhczioBYemNXaq4Yrq9ulXVqoCPlNXSyCbiTxqP//u41QRCqK2IoTOwQSO9MedzppeqiMhCGGVHAPewaEQwvmgotCAZidz6FO6qTdb8RvgDQD3fPBsJ5Pvl3Urxiy7IVHXYMJ3TScAbP7MBjz/6YvHdH/KhmXTUR0J4kMXLCy47YcuXIjXGcZijNTymXV465nt+MYbTxmX2xtvi6ePX1dRIiKi8cCy0klWTOZQb+xwyG4KoQI87+2tf9X6PdPJfteQ1fEwGMgOpw8I4dyHkkhlPNfAuLN/GWllDvXLVZD03h//FQDwB3u/3cFAyLXmcDiZzjnBv+Ptp+P67z+JtfYaqt4CmUOV6bNGWXjPeHOLBAM5QV3umsMMggFhPBlXa9p6hr2Dw9poGLvszpZ+cw7VfiTTVlmpV/fFufbMsp6hJGqjEkJ4N03Rs6NqtIdXhrGpOoKjAwm7LNhcsKzWSXYOmIOmmqi7IY33W4o6/od7/cpKrcvU+livuXSKCjaPDpg7jDbVRPBq1xCGEmnfzGEgIFBTEfIdZQEA/3ztSnz4okWY4XNbgBUcHuwdtjKHhmBZz8b5DSwHrNfzfR86e8yBIQAs12bwmdb0KaYZmaPxsYsX46MXLx6XpisjEQoGcNsVyyb1PkfishUz8YM/7cZNGxaXeleIiIgAMDicdMWcG+nx41O7u4q4TVVW6t2QRgWbUloNacJBoXURzWbnlITdgdQ938x9crrr6CAS6YzTwdFrG2Wla5C2CihVt9J93cM4c352v89dNAW7b9/kNCdRGTOvrKCVpUs7z4FXt1KvUsCEa65HxJU5jPqsUVKBUu+wtV9e8xA7B635dMNJc0MawDoeqXTGmGkKBARmNVWiZyiBgBB2pssrALYzh8kMuoYSEMI7KG5rrMS+biuTe6HPWjEVgHb6ZA5rtbLSYEAYg+CqSBBCFJc5VPtmmksIZDOHHT6loE3VEWw92AfA3EBGqYuGnYylXwl3axHlf3WVIRzuiyOeyvh2jXz81guw9WBfTvdNkwXjNJpAL0stNCh9PI1HiejxKBwM4O73n1Xq3SAiInKwrHTSjewk6eRW8xBlRZ13qfV77oY0GS0QTGcyOQGc3q1UsdYcypwxFgDyhsurDop6J9VIyPvxuRu7ZEdZSKfk9GdP78u/nh3wDNhli94D7vWy0oxngFpMFiSnrDSV9l1HpYIg1SjHXXLbXB2xM2r+swQBK7uRTEv0xVLGNXvT7NENg/GUZzYQsLKqAWGVlf7gT7vzxoMos5qq8GrXELoKdPGsdAeHHs9HtRMcJlFT4R20AtbvWU0khMP2mkOvx6BnDoUoUFZakRsceh2r5uoIDvb6D61X9IxnofVzhUyvq3TWfJrGQADWutrzTzIH5xNBPz5zCoxtICIiohMPg8NJNtIP0P3mG2Zv0y6HtAMk91XUiAurnDQ3kAkI4bTpV+KpDAbiqbzgwh0sqhP0d50z37ksEsw9sW63T0DdGSxVHppKS2dNmxfVZKVfZQ69soIhrVtpxjs41DM+i6ZZmRr3Wi+nIU1KYjiR8Q0SVEfLXmfERu5+qYYp+3qswNcvGxUOWsHtYCLlOf8PsIamdw8lMZBIGecSCiEQDQed7qIms5uqMJRI40h/HE2G2W8AUGXvc7dP5rChKox0RuJAb8xYUqrURENOttYrWI+GAwgI6/e4vjLsW4JY64yfiCEaDnhuqwe+IwkO/QL5Ysydks3I+Q1pL5Wl9u99oZl+REREdOJhcDjJilpzOMrbfNJus//vf9iR83M1v1AIkZc59Dr/TqQz+N1Lh521X0p1JIgPrF+AO95+OgA48+9y1u25MoeDCe95gXrmUJWWqoYfOidzaAeHXkFAhZY5dM9dVPSOkGodWMpVVpqz5jCVNo6xALLB3mAijUgokBfEq8Bkb5ddqui75lBg0A7GvcYoANb6u56hBPpjKd8saFUk6JRlftwwDH2WttasucjMYUDkZ0eB7PO6s2Og4Mw5FdQKYW76ohrt+JWUWrdlXT+ZlsbnQw98pxbo8qn23bSecyTW29nADcumYfXsxgJbT74vX7MCt12+1LgekoiIiE5cXHM4yYrqVjrCYYgqXppnZyzeao+ucNgZwMd3dKKhKpwTwHkFq4mUd+ZJCIGPXrzYKeUbtrN1ejDmbhijtnUHh0IIhAJWsHr9958CAJw+tynvPlWpZEZawYnXcxMNBZ3OqUlX91TncQYE/nzLesSSabTUVuCT/7MZn3J1ndQV4j+tAAAe2klEQVTXHMaTaUQ91usp4WDAmk+YlqjwuL9mu6GPCtR8R1kEA+izG7qYMowNVWF0DyVwuDfmm/GpjYax026EYxoboK878ysrzXYrjaMyHPR87tVt7egYxBnz/AewqyDOtGYSsALI/njKtxkNYJXittRYjXVMmVQ98DVto6jMYY3PvhWrpiKE3bdvGtNtTKTlrfVYXkS5OhEREZ14mDmcZMVkDnXFbO5u9jC93jso6BxMYEfHoGvNoXv/8gfQu6lgMOYEh9nbG07kX7fCI7MGWE1pUmnpZAXPXTwlbxshhFOS6tVoBtC6dKYyeXMXdTMbKjFvSg3qomH863WnOKWf2celN6TJFJxnp+7Xa7yGCkxUk5Nig0PTdg1VEcSSGew6OpjXKEhXGw05XVJNM/GatU60fsGhenx+AZh+H35z8wAtODSUzgJAo70/hTKHANBqZ0CrDM1+1GMrpkOmCg4LBZFERERExzMGh5NthHMOi7pJkS3RBPJPht1xmXvNoa7CzsL5Ubc/7BEcLm/Nn9kWNwSboUAg575aDOvfVHmnqRNql90UZiCWMjakKUY2OJRWt9ICjUkqfYND67E4ZaVhn26loQD67K6npvtUwVIinfFdJ1gbDTmdaKcYhqvrJba+DWnsfUlnpDFo0m+r0Ny8bHBofi4W2kPBG332S2mz15Ga1mme3GZlxxYU0Q20xl7D6Be4EhERER3v+DH5JBtp5rC427T+dUZZuO7CnbUL+wSHw8k0XtjX63t/6vqq8YleSjqSkjx93iJgbnevSlKrDVm1Hjs43NM5aI+yGG1wmG3sE0ulfbtlAtksn1dwWFcZQiggiiorjQRFwbJSPds3vd4cHOrr71oMmUM9APUvK83elilo0jN8LYZgNHsb1u35rXVTmch0gQ8oAGskh34dt0XTavHtN52KFW2FSyhV5tBvbSgRERHR8Y6Zw0mWLFCyCRRXSqpToytUgxV3kJXXlVMrz1SbtnmsT1s9uyHvMiAbDHo1pBkJa81e4edDlZWaMk4bl88AYAWbiXQGEUP5aSFCCGefRlRW6hGMCiHQVB3BtsP9AHKDO7dQIOB0hjUFJ3oA9LrV+Y17FNVYpTIcNAbTOr+ATl8namr6omepF07zz9CpAMwvIH3H2XMBeKyb9aA6kPplZTcun46ZxcwmtPfNb50pERER0fGOweEke35fdmD8Vae0Fty+UJMPIJv9UyWa7mzgZ65YlvN/95xDr+sAwNKZ+SWiQH5ZqbsJTbFU5nBaXQXesGaWcTsVpFQZApRq11iJijHMqQsHA3ZwWERZqU/mELCCIBX0Ta01rxMMa9c3ZRj1ElG/slkVgE2tqygqi+uXKQsEhJPJ9BsFcdvlSxENB3DKLP/OnCr76Fd+OqO+Ertv34SVs7w/mNCd1t6ESDCAjcunF9y2EBUkxwzNmIiIiIhOBAwOJ1nGNJlco5/8L5pWm/dzd7ZHxQBqJIQ7VnNnwPRgRm17iX2CfY02TmJP55Dn/qkMm8ocuoOVL1+zwvN6bmrN4XAi7RukqDWHpkyYum73kB0cjjKTCajgsLg1h35lpUA2UGupqfDNruqZXNN9zmqqwgfWL8D/vv8s331SmcM5zdW+2xUqAc3uj7XffsHhW9fNxQuf3lBwbp5qWCNGvKrW28lt9Xj+0xfjoqXTxnxba+c1o725Ch+7ePE47BkRERHRsYlrDieZXkVpCohuv9ocXH368qV5GUcnc2ivOQy6MkburODerqG8n9288SS859z5+POOTvz8mX0AcgfHuyXTEkfsMRXu4PCKlTPx3N4e/OSJV43XB1S3UlXCaQ7EquyyQVNXSnW5Wns41uAwofapQImhyqqZtlNB0Ayf7qJAbkBoWnMIAB8tInBRXVLrCgyk//X716HPzrT6Udnh6QWGyBdTWqzGJ5jWCI7GeK0RbKyO4JGbzh+X2yIiIiI6VjFzOMn0zOFlJ8/w3EYf2O2uDGxvqUaDq81/wD6KqqzUXU7ovo3dWkZQXTcYEGisjuSc5H/mytxyVBP30PloOIgvXHVyweupNYKJdMY3KFKD4U1NUaqczKEKDkcfMESCAsmUKisd/SgLADhjvlUS3OKz3hAAGrTGN6YAuFj9dmObw30x3+1aGyrz1qJ6iSWtTzPmtvhnIotxxrxm/Mdb1uDGixaN+baIiIiIaPwxOJxkenA4o4hGGe4SPK+1ge41h3mjLHzK+Nw/U4FeKCB8g6yTpmfLXU3dQTd/ZgMAc/AUDgTQH1MjHMy/iqrhi6khTXZYe9L3/ooRDgUwnEwjlZFFl5WaMpUqQ1ZotIa+Bs8vSC7GphUzAQDvOmf+mG7HrVDJaDGEELho6bQxHR8iIiIimjg8S5tkenCnh2WntzdlL/dZkiU91iyqTGE67b3m0P3/cxZlh83nzUC0T9wLrY3UAyKvbp0AUGUHOlev9m68EwwIDMT95/tZ+2TtpGnNocq29Q6PT1lpMQErkA3kTA1w1JrDUIHuqQ2V2cxiNDK2l+Tclmrsvn3TuKzDA7JdSr262RIRERHR8YVrDieZKTOkB2l6Ns8dvK3RgkjFmXNoKCt1ZxvXzGnEoy93eP5MBVaF2ubo2UlT8BMICLx428XGUslwUDgdRk2jEgCrcQ1gLrkMBgQioQC6B1W30rEGh9btFMocqnJXU3Bcbe/vvBb/EQ/1WubQdFul8q03rcb+7uExleoSERER0bGBwWGZyMkoGhJNkWDAM4gqWFbqur1XPRrSKEE7ECvUVFUFbNb35sxYrc/A82BAoNfuMGoqGQWyA9FNaw4Ba3D9lgO9AMa45jAUQI8dsBZqSKMa5ZjiufNPmorPvXY5XmfInCr6msNixk9MprMXTim8EREREREdF8orTXECUOMm3PSATg8P9FghYRgY72QODWWl7oBDdSP12raYofT6/oaDYtQBTSgQQOegVQrqF/gd6B0GULhZS59dDjqWstLqSBDd9j4VykDOn2o1aTGN/AgGBN60dk7B/XY3GCIiIiIiKgUGh5NMZcHccspKRxhrCVfm0Ktpje7shS1511UKXVfJBoej/xXSy1H9MpXPvtoDwL/kUh8XMZbMYVUk6MxLLFRW+pq5VjdS1ZV0tBp9hsITEREREU0WBoeTLKUFh7kBYU6+UPuucLCmArp0kcHh9We0a9fN/VlDkYHKeASHerbUXQqrm91kdcpMGrKugDUkXhlLN0w9y1coOJxSW4EnP34BPnTBwlHfHwDU2WWl7OJJRERERKXEs9FJpmcO9QHeAUPmUP9+Wp338HB13WTaDg49juo8bU6dHoQEXEHZ/Cn+zVMUvax0tPS1ijN9xnqct9ha95ZImYNDvdHPmMpKtfLWYsZKTK2NjnmdYDQcxCcvW4p7PnDWmG6HiIiIiGgsGBxOMjUmAbACC8U04kJnyghmM4dW8BT02O7hj53nfJ8THI4yrhmfslLrupXhoO+Q9U0nzwAArJ1nLt/Ux06MpVtpZVjPHE7ey+OGs+Zi4bTawhsSEREREU0QdistE7ndSr0DRVNwKFyZw0KZLD04NG3bUuPfJEUFoIVm+PlRmcM5BQasv2ZeM3bfvsl3m9zM4ejXHOqZw0JlpURERERExxMGh5Ps6tVt+MVf9+VdbsrgFVOymL/m0H97vbGLV8D56/et8y3zBIBgcPwyh2O5DSU6TmWleqmv33gNIiIiIqLjDctKJ9k/X7PC8/KiykoNR6vQnEO3cNC/rHTlrAZMqfVe36iozGHYtFNFUJnDsWQflfEKDqu1hjTVEWYOiYiIiOjEweBwkrkbwGQvz36f05BG38a05tC+btKZc+gfbOnBY7GjK9xUYBcOjT6wG491i4rK+AVENiM5GlVaQFjJ4JCIiIiITiAMDstE7jpDff1hdhtTIBeyo0MnOCyQOTR1Rh0JdR+hMWQOw05p6jhkDu11hmPZHyB3lIXfXEUiIiIiouMNz37LRM6UQ+P6Q+/LVQZuMJ4GUHjNoR5kjjVzOJYAanwzh9ZtpKUssKU/vZx2rCMqiIiIiIiOJQwOy4RpnaCpc6lOBWoPbj0MoHDANx7BYWAc1guqLN94BIdN1VZQp8+RHA2/kRpERERERMczBodlopjMoSmQcweWhcK12mi2dHK0cw5D45D1U+WkVeOwtq9QA51iNVf7j/AgIiIiIjpeMTgsMRXvmeYc6oxrDl3ZO1PurN2eJ9ioBUCjLZ1U+zKW9YJqHmF0DHMJlaaq8QnqCq3XJCIiIiI6XnGQW5nwKx9tbajE/p5hY0YxVGRA88hN5+ddVsrMYTRsXXc8RlnURPmrTEREREQ0FjyjLjEBK9Pn10FU/d+U5Qu6OnRmRtCUZbSZQ1XKurd7aFTXB3JnE47VeM4k/Mut68fc9ZSIiIiI6FjD4LDEhBCAlK7ZhrkBmyrh3Hqwz/M23JnD2mi46PsPjjI4PNIfBwBs3u+9T8UYy7B6t/GcSTijvnLcbouIiIiI6FjB9EgJvP/8BZjVlBuAuANCXaHST3dDmpqK4mP+0SbIfvXs/tFdUaPym+MxMUKfT0hERERERCM3YcGhEOI2IcR+IcRz9tel2s9uFUJsF0JsE0Js0C7faF+2XQhxi3b5XCHEE0KIV4QQPxVCHNMtJT+2YTEeu3k9AGDNnEYAuUGaO1gqNG6i2DWHXkY7yqK2zNb4mUaBEBERERFRcSb6DP/rUsqv6BcIIZYCuA7AMgAzATwohFhk//jfAFwEYB+Ap4QQd0spXwLwJfu27hJCfBvADQC+NcH7Pim+e/0a7Okcwk+f2utc5g5zCsVvYwmMRnvdGfVR9McGRn2/ALDtUD8A4Kld3WO6HeWJ/3PBiLKmRERERESUVYqy0isB3CWljEspdwHYDuB0+2u7lHKnlDIB4C4AVwqrY8p6AD+3r38HgNeWYL8nRG00jOWt9bkB4Igzh6M/jKPNHF576iwAwMcvXTLq+37/+gUAgG+88ZRR34ZuWl0U1QwOiYiIiIhGZaLPpN8vhHgLgKcBfFRK2Q2gFcDj2jb77MsAYK/r8tcAaAbQI6VMeWyfQwjxLgDvAoDZs2eP12OYFLmxoWuofaHM4RhGQYw2c3jDWXOxrLUOZ85vGfV9z6ivxO7bN436+kRERERENH7GlDkUQjwohNjs8XUlrLLP+QBWATgI4Kvqah43JUdxef6FUn5HSrlGSrlmypQpI348pZQz53CE8dpY1hyOtltpICDGFBgSEREREVF5GVPmUEp5YTHbCSH+A8Bv7P/uAzBL+3EbgAP2916XHwXQIIQI2dlDffvjkjtcKzS2cEwNadivloiIiIiIMLHdSmdo/70KwGb7+7sBXCeEqBBCzAWwEMCTAJ4CsNDuTBqB1bTmbimlBPB7ANfY178ewK8nar9LJZCTOcwN9goNtQ8FA7hsxQzfbYq5XyIiIiIiOnFN5JrDLwshVsEqAd0N4N0AIKXcIoT4GYCXAKQAvE9KmQYAIcT7AdwPIAjg+1LKLfZt/SOAu4QQnwPwLIDvTeB+l4Qeo7nDtYO9sYLXn14XHdX9cgQEEREREREBExgcSinf7POzzwP4vMfl9wK41+PynbC6mR63chrSuOK1oUS64PVH25SGmUMiIiIiIgJKM8qCPNy3+dCYrj/axjLhMXQ6JSIiIiKi4weDwzKxv2fY+d49yqIYqinN29a1j+h67vWNRERERER0YmJwWI5GEa8F7bajowksiYiIiIiIGByWodEk89KF5l0QERERERH5YHBYhkaT+/vGQ68AADYf6B3fnSEiIiIiohMCg8MyNJZ1gEf6Co+9ICIiIiIicmNwWIbGsmowmWZ5KRERERERjRyDwzJkShwWk1DUu54SEREREREVi8FhGTJ1HL3t8mWTvCdERERERHSiYHBYhkwZwim1FZO7I0REREREdMIIlXoHqHjjOa3i0ZvORyyVHr8bJCIiIiKiYxqDw2OIxPhFh7Obq8bttoiIiIiI6NjHstIyZCor9csctjVWTszOEBERERHRCYHBYRkyNaTxEw0HJ2BPiIiIiIjoRMHgsAwZM4c+14kEeSiJiIiIiGj0GFGUiZs2LHa+H3neEPjYhkUAgHkt1eO0R0REREREdCJhcFgm6ivDzvfCkDqUPosOZzZYaw6n1nHcBRERERERjRy7lZah0WQOF0+rxSc2LcEVq2aO+/4QEREREdHxj5nDMqEnC92JwytWWgGfX7dSIQTecfY8TK2NTsDeERERERHR8Y7BYZkIaBGhu6z0hrPmIhQQOHNB82TvFhERERERnSBYVlomggFzMenKWQ3Y/oVLJ3FviIiIiIjoRMPMYZkImuZXEBERERERTQIGh2UiwCNBREREREQlxJCkTIhR9SglIiIiIiIaHwwOywSrSomIiIiIqJQYHBIRERERERGDw3LhHl9BREREREQ0mRgclgmGhkREREREVEoMDssEE4dERERERFRKDA7LBLuVEhERERFRKTE4LBPMHBIRERERUSkxOCwTAQaHRERERERUQgwOywajQyIiIiIiKh0Gh2WCZaVERERERFRKDA7LBGNDIiIiIiIqJQaHZUIwdUhERERERCXE4LBMbD3YV+pdICIiIiKiExiDwzLxt0MMDomIiIiIqHQYHJYJwVWHRERERERUQgwOywVjQyIiIiIiKiEGh0RERERERMTgsFwwcUhERERERKXE4LBMcJQFERERERGVEoPDMsHQkIiIiIiISonBYZkIMDokIiIiIqISYnBYJlhWSkREREREpTSm4FAIca0QYosQIiOEWOP62a1CiO1CiG1CiA3a5Rvty7YLIW7RLp8rhHhCCPGKEOKnQoiIfXmF/f/t9s/bx7LP5YqhIRERERERldJYM4ebAbwOwKP6hUKIpQCuA7AMwEYA3xRCBIUQQQD/BuASAEsBvNHeFgC+BODrUsqFALoB3GBffgOAbinlAgBft7c7/jA6JCIiIiKiEhpTcCil3Cql3ObxoysB3CWljEspdwHYDuB0+2u7lHKnlDIB4C4AVwqrpnI9gJ/b178DwGu127rD/v7nAC4Qx2ENpmB0SEREREREJTRRaw5bAezV/r/Pvsx0eTOAHillynV5zm3ZP++1tyciIiIiIqJxEiq0gRDiQQDTPX70cSnlr01X87hMwjsYlT7b+91W/p0K8S4A7wKA2bNnG3atPB1/uVAiIiIiIjqWFAwOpZQXjuJ29wGYpf2/DcAB+3uvy48CaBBChOzsoL69uq19QogQgHoAXYZ9/Q6A7wDAmjVrPAPIcpXOHFO7S0REREREx5mJKiu9G8B1dqfRuQAWAngSwFMAFtqdSSOwmtbcLaWUAH4P4Br7+tcD+LV2W9fb318D4GF7++NK73Cy1LtAREREREQnsLGOsrhKCLEPwBkA7hFC3A8AUsotAH4G4CUAvwXwPill2s4Kvh/A/QC2AviZvS0A/COAG4UQ22GtKfyeffn3ADTbl98IwBl/cTwJsKyUiIiIiIhKqGBZqR8p5a8A/Mrws88D+LzH5fcCuNfj8p2wupm6L48BuHYs+3kseO0prXhw65FS7wYREREREZ2gJqqslEZoam201LtAREREREQnMAaHZWIgzjWHRERERERUOgwOy0RFKFjqXSAiIiIiohMYg8Mycfz1XyUiIiIiomMJg0MiIiIiIiJicFguBEdZEBERERFRCTE4LBMsKyUiIiIiolJicFgmmDkkIiIiIqJSYnBIREREREREDA6JiIiIiIiIwWHZYFUpERERERGVEoPDMsF+NEREREREVEoMDsvE7KaqUu8CERERERGdwBgclom2xspS7wIREREREZ3AGBwSERERERERg8NyITjokIiIiIiISojBIRERERERETE4JCIiIiIiIgaHREREREREBAaHREREREREBAaHREREREREBAaHREREREREBAaHREREREREBAaHREREREREBAaHZeeyFTNKvQtERERERHQCCpV6Byjr+U9fjOpIsNS7QUREREREJyAGh2WkvjJc6l0gIiIiIqITFMtKiYiIiIiIiMEhERERERERMTgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiAEJKWep9mBBCiA4Ae0q9Hx5aABwt9U4QAB6LcsHjUD54LMoDj0P54LEoHzwW5YHHoXwUeyzmSCmnFHujx21wWK6EEE9LKdeUej+Ix6Jc8DiUDx6L8sDjUD54LMoHj0V54HEoHxN1LFhWSkRERERERAwOiYiIiIiIiMFhKXyn1DtADh6L8sDjUD54LMoDj0P54LEoHzwW5YHHoXxMyLHgmkMiIiIiIiJi5pCIiIiIiIgYHBIREREREREYHE4aIcRGIcQ2IcR2IcQtpd6f45UQYrcQ4kUhxHNCiKfty5qEEA8IIV6x/220LxdCiG/Yx+QFIcRq7Xaut7d/RQhxfakez7FECPF9IcQRIcRm7bJxe+6FEKfax3a7fV0xuY/w2GA4DrcJIfbbr4vnhBCXaj+71X5OtwkhNmiXe75nCSHmCiGesI/PT4UQkcl7dMcOIcQsIcTvhRBbhRBbhBAfsi/na2KS+RwLvi4mmRAiKoR4UgjxvH0sPmNf7vn8CSEq7P9vt3/ert3WiI4RZfkchx8KIXZpr4lV9uV8f5pgQoigEOJZIcRv7P+X7jUhpeTXBH8BCALYAWAegAiA5wEsLfV+HY9fAHYDaHFd9mUAt9jf3wLgS/b3lwK4D4AAsBbAE/blTQB22v822t83lvqxlfsXgHMArAaweSKeewBPAjjDvs59AC4p9WMuxy/DcbgNwMc8tl1qvx9VAJhrv08F/d6zAPwMwHX2998G8N5SP+Zy/AIwA8Bq+/taAC/bzzdfE+VzLPi6mPxjIQDU2N+HATxh/757Pn8A/gHAt+3vrwPw09EeI34VdRx+COAaj+35/jTxx+RGAD8B8Bv7/yV7TTBzODlOB7BdSrlTSpkAcBeAK0u8TyeSKwHcYX9/B4DXapf/p7Q8DqBBCDEDwAYAD0gpu6SU3QAeALBxsnf6WCOlfBRAl+vicXnu7Z/VSSn/Iq13wf/Ubos0huNgciWAu6SUcSnlLgDbYb1feb5n2Z/8rgfwc/v6+jEljZTyoJTyr/b3/QC2AmgFXxOTzudYmPB1MUHs3+8B+79h+0vC/Pzpr5efA7jAfr5HdIwm+GEdc3yOgwnfnyaQEKINwCYA37X/7/eeMuGvCQaHk6MVwF7t//vg/4eJRk8C+J0Q4hkhxLvsy6ZJKQ8C1kkCgKn25abjwuM1fsbruW+1v3dfTsV7v10O9H1hlzJi5MehGUCPlDLlupx82GU/p8D6dJ6viRJyHQuAr4tJZ5fPPQfgCKxgYgfMz5/znNs/74X1fPPv9xi5j4OUUr0mPm+/Jr4uhKiwL+P708T6FwA3A8jY//d7T5nw1wSDw8nhVWfNGSITY52UcjWASwC8Twhxjs+2puPC4zXxRvrc85iMzbcAzAewCsBBAF+1L+dxmGBCiBoAvwDwYSlln9+mHpfxWIwjj2PB10UJSCnTUspVANpgZTWWeG1m/8tjMUHcx0EIsRzArQBOAnAarFLRf7Q353GYIEKIywAckVI+o1/ssemkvSYYHE6OfQBmaf9vA3CgRPtyXJNSHrD/PQLgV7D+8By2Sxxg/3vE3tx0XHi8xs94Pff77O/dl1MRpJSH7ROBDID/gPW6AEZ+HI7CKicKuS4nD0KIMKxg5MdSyl/aF/M1UQJex4Kvi9KSUvYAeATWGjbT8+c85/bP62GVzfPv9zjRjsNGuwRbSinjAH6A0b8m+P5UvHUArhBC7IZV8rkeViaxZK8JBoeT4ykAC+3OQxFYC0jvLvE+HXeEENVCiFr1PYCLAWyG9VyrDlrXA/i1/f3dAN5id+FaC6DXLvO6H8DFQohGu8zoYvsyGrlxee7tn/ULIdbatfVv0W6LClDBiO0qWK8LwDoO19ndz+YCWAiriYDne5a9duT3AK6xr68fU9LYv6ffA7BVSvk17Ud8TUwy07Hg62LyCSGmCCEa7O8rAVwIaw2o6fnTXy/XAHjYfr5HdIwm/pEdWwzH4W/aB1cC1ho3/TXB96cJIKW8VUrZJqVsh/X7+rCU8u9RyteELIMOPSfCF6xOTy/Dqq3/eKn353j8gtWJ6Xn7a4t6nmHVYj8E4BX73yb7cgHg3+xj8iKANdptvR3WYt7tAN5W6sd2LHwBuBNWaVYS1idVN4zncw9gDaw/VDsA/D8AotSPuRy/DMfhR/bz/IL9R2GGtv3H7ed0G7Rucqb3LPt19qR9fP4bQEWpH3M5fgE4C1bpzgsAnrO/LuVroqyOBV8Xk38sVgB41n7ONwP4lN/zByBq/3+7/fN5oz1G/CrqODxsvyY2A/gvZDua8v1pco7Lech2Ky3Za0LYVyIiIiIiIqITGMtKiYiIiIiIiMEhERERERERMTgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiMDgkIiIiIiIiAP8fBuEHljJxDyMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bb9eeb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# read and plot the sound\n",
"t_sr, tom = wavfile.read('media/tom.wav')\n",
"plot(tom)\n",
"Audio(tom, rate=t_sr)"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True fundamental frequency = 92 Hz\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c635240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# get DFT, it's magnitude, and map it to the real frequency (change of scaling)\n",
"t_len = len(tom)\n",
"\n",
"# DFT and plot result magnitude\n",
"t_rfft = fft.rfft(tom)\n",
"subplot(211) # linear magnitudes, number of bins (smaple# / 2 + 1)\n",
"t_rfft = abs(t_rfft)\n",
"plot(t_rfft)\n",
"xlim((0, 1000))\n",
"\n",
"# map to actual frenquency\n",
"# this prints true... \n",
"all(fft.rfftfreq(t_len, 1/t_sr) == linspace(0, t_sr/2, len(t_rfft), endpoint=True)) # all?\n",
"\n",
"freqs = fft.rfftfreq(t_len, 1/t_sr)\n",
"subplot(212)\n",
"plot(freqs, t_rfft)\n",
"xlim((0, 1000))\n",
"\n",
"# change scaling, get true fundamental\n",
"t_maxBin = argmax(t_rfft)\n",
"t_fundamental = freqs[t_maxBin]\n",
"print(\"True fundamental frequency =\", int(t_fundamental),\"Hz\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem 2"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"max = 4000 , total length = 8001\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dd42c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# by Karl, thanks!\n",
"lags, c, line, b = acorr(tom/max(tom), maxlags=4000)\n",
"
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