{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This post was entirely written using the IPython notebook. Its content is BSD-licensed. You can see a static view or download this notebook with the help of nbviewer at [20170419_KarplusStrongAlgorithm.ipynb](http://nbviewer.ipython.org/urls/raw.github.com/flothesof/posts/master/20170419_KarplusStrongAlgorithm.ipynb).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this blog post, we will implement the [Karplus-Strong algorithm](https://en.wikipedia.org/wiki/Karplus%E2%80%93Strong_string_synthesis) for guitar sound synthesis. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# What is the Karplus-Strong algorithm? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Karplus-Strong algorithm, named after its two creators, was originally published in 1983 as the following paper ([full paper here](https://users.soe.ucsc.edu/~karplus/papers/digitar.pdf)):\n", "\n", "> Karplus, Kevin, and Alex Strong. “Digital Synthesis of Plucked-String and Drum Timbres.” Computer Music Journal 7, no. 2 (1983): 43–55.\n", "\n", "As the paper states, it is a simplified digital instrument that allows one to control pitch, amplitude and decay time. What is so interesting about the algorithm is that it yields realistic sounds even though it is very simple.\n", "\n", "How does the algorithm work?\n", "\n", "To answer that question, we will first briefly go over how wavetable synthesis works." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Wavetable synthesis " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wavetable synthesis was invented in the 1970's. It is based on the following idea: suppose you have an array of points describing a wave." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t = np.linspace(0, 1, num=100)\n", "wavetable = np.sin(np.sin(2 * np.pi * t))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, wavetable, '-o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if we imagine a pointer going through our wavetable at different speeds and picking the closest point it finds to generate a new waveform with it?" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 98%|████████████████████████████████████████▉ | 40/41 [00:05<00:00, 6.93it/s]\n" ] }, { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from moviepy.editor import VideoClip\n", "from moviepy.video.io.bindings import mplfig_to_npimage\n", "\n", "duration = 2\n", "\n", "pointer1 = 1\n", "pointer2 = 2\n", "points1 = []\n", "points2 = []\n", "fig, axes = plt.subplots(2, 1)\n", "def make_frame(time):\n", " ax = axes[0]\n", " ax.clear()\n", " ax.plot(t, wavetable)\n", " ax.vlines(pointer1 * time / duration, -1, 1, color='red', label='slow pointer')\n", " ax.vlines(pointer2 * time / duration % 1, -1, 1, color='blue', label='fast pointer')\n", " for pointer, color, points in zip([pointer1, pointer2], ['red', 'blue'], [points1, points2]):\n", " arg = np.argmin(np.abs(t - (pointer * time / duration % 1)))\n", " ax.plot(t[arg], wavetable[arg], 'o', color=color)\n", " points.append(wavetable[arg])\n", " ax.set_xlim(0, 1)\n", " ax.legend(loc='lower left')\n", " \n", " ax2 = axes[1]\n", " ax2.clear()\n", " ax2.plot(points1, '-or')\n", " ax2.plot(points2, '-ob')\n", " ax2.set_xlim(0, 41)\n", " ax2.set_ylim(-1, 1)\n", " return mplfig_to_npimage(fig)\n", "\n", "animation = VideoClip(make_frame, duration=duration)\n", "plt.close(fig)\n", "animation.ipython_display(fps=20, loop=True, autoplay=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see from the above diagram, the fast pointer goes trough the waveform twice as fast as the original pointer. However, as it reaches the end of the wave, it starts over at the beginning. Using this method, we can easily derive several new waveforms from the original wavetable by looping over the wavetable and going back to the beginning when we reach the end of the wavetable. Fun fact, this is how a [Gameboy generates sounds](http://flothesof.github.io/gameboy-sounds-in-python.html).\n", "\n", "Let's write a function that implements the wavetable synthesis principle." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def synthesize(sampling_speed, wavetable, n_samples):\n", " \"\"\"Synthesizes a new waveform from an existing wavetable.\"\"\"\n", " samples = []\n", " current_sample = 0\n", " while len(samples) < n_samples:\n", " current_sample += sampling_speed\n", " current_sample = current_sample % wavetable.size\n", " samples.append(wavetable[current_sample])\n", " current_sample += 1\n", " return np.array(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what the outputs look like." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sample1 = synthesize(1, wavetable, 300)\n", "sample2 = synthesize(2, wavetable, 300)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7GMTQpuuG4RA6VYa5MjuNrvcay6+7PiuOkzN22FZTZaxBeskHd/HtNroMhtJ7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(sample1)\n", "plt.plot(sample2)\n", "plt.xlabel('sample number')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we see is that the waveforms look quite similar except for the fact that one has a higher frequency than the other." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate some sounds at interesting frequencies. We first generate a new wavetable designed for a sampling rate of $f_s$ = 8000 Hz." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fs = 8000" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t = np.linspace(0, 1, num=fs)\n", "wavetable = np.sin(np.sin(2 * np.pi * t))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, wavetable, '-o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's generate a sinusoid at 220 Hz and one at 440 Hz." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sample1 = synthesize(220, wavetable, 2 * fs)\n", "sample2 = synthesize(440, wavetable, 2 * fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can listen to it using the IPython rich output:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import Audio" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample1, rate=fs)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample2, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed the sampling scheme works, `sample2` has a higher frequency than `sample1`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the strenghts of this type of wavetable synthesis is that you can easily move to more complex sounds, with harmonics and still use the same model. For instance, we can use a triangle shape:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wavetable = t * (t < 0.5) + (-(t - 1)) * (t>= 0.5)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, wavetable, '-o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, let's sample two sounds:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sample1 = synthesize(220, wavetable, 2 * fs)\n", "sample2 = synthesize(440, wavetable, 2 * fs)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample1, rate=fs)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample2, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, a more complex sine based wavetable." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_sine_wavetable(n_samples, amps, phases, freqs):\n", " \"\"\"Makes a wavetable from a sum of sines.\"\"\"\n", " t = np.linspace(0, 1, num=n_samples)\n", " wavetable = np.zeros_like(t)\n", " for amp, phase, freq in zip(amps, \n", " phases,\n", " freqs):\n", " wavetable += amp * np.sin(np.sin(2 * np.pi * freq * t + phase)) + \\\n", " amp / 2 * np.sin(np.sin(2 * np.pi * 2 * freq * t + phase))\n", " return wavetable" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "wavetable = make_sine_wavetable(t.size, [0.1, 0.5, 0.8, 0.3], \n", " [0, 0.3, 0.4, 0.7],\n", " [1, 2.1, 3, 4.3])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fax4FcGvW+R8BYCXJSTPbVE0Tg/O55t0AnjezlwC8RPJeACcCSDUA+FzzBQA2\n2FSCfJzkUwAWA/h+NU2sXOn9V8opoAcALCJ5DMlZAM4BsLnrmM0Azs9G05cCeMHMnqu6oQE5r5nk\nfABfA/DhhtwNOq/ZzI4xswVmtgDAvwH4aMKdP+D3b/sbAN5FcibJ3wZwKoCdFbczJJ9rfhpTTzwg\nOQfA2wE8WWkrq1V6/5XsE4CZTZK8BMBdmKoguMnMHiN5Ufb+DZiqCFkJYBzArzB1B5Esz2v+NIDf\nBfAv2R3xpCW8kJbnNTeKzzWb2U6SdwLYDmAfgM+bWc9ywhR4/p7/HsAXSD6KqcqYT5hZsquEkvwy\ngDMAHEFyN4ArABwEVNd/aSawiEhLpZwCEhGRAhQARERaSgFARKSlFABERFpKAUBEpKUUAEREWkoB\nQESkpRQARERa6v8ByBotg6mdU8MAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, wavetable, '-o')" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sample1 = synthesize(220, wavetable, 2 * fs)\n", "sample2 = synthesize(440, wavetable, 2 * fs)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample1, rate=fs)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample2, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now of course this does not sound like a realistic instrument, for several reasons.\n", "\n", "- the wavetable has not the shape of a realistic instrument sound\n", "- there is no dynamic part in the generated sound like attack and decay " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, if we wanted to, we could use more complex wavetables like this one:\n", "\n", "![wavetable](http://synthesizeracademy.com/wp-content/uploads/wavetable-synthesis-wavetable.gif)\n", "\n", "And we could also add some an [ADSR (attack, delay, sustain, release) envelope](https://en.wikipedia.org/wiki/Synthesizer#Attack_Decay_Sustain_Release_.28ADSR.29_envelope) to the waveform.\n", "\n", "\n", "However, we will skip this here and move on to the Karplus-Strong algorithm." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Changing the wavetable: the Karplus-Strong algorithm " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As explained in the original article:\n", "\n", "> The wavetable-synthesis technique is very simple but rather dull musically, since it produces purely periodic tones. Traditional musical instruments produce sounds that vary with time. This variation can be achieved in many ways on computers. The approach in FM synthesis, additive synthesis, subtractive synthesis, and waveshaping is to do further processing of the samples after taking them from the wavetable. All the algorithms described in this paper produce the variation in sound by modifying the wavetable itself. \n", "\n", "In the paper's notation:\n", "\n", "$$\n", "Y_t = \\frac{1}{2} (Y_{t-p} + Y_{t-p-1})\n", "$$\n", "\n", "So, let's modify the wavetable during sampling! The first modification proposed is quite simply to average the last two values in the table. \n", "\n", "Contrary to the wavetable synthesis shown above, we don't keep sample the wavetable at different speeds here. Thus, the length of the wavetable already determines the main frequency of the sound." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def karplus_strong(wavetable, n_samples):\n", " \"\"\"Synthesizes a new waveform from an existing wavetable, modifies last sample by averaging.\"\"\"\n", " samples = []\n", " current_sample = 0\n", " previous_value = 0\n", " while len(samples) < n_samples:\n", " wavetable[current_sample] = 0.5 * (wavetable[current_sample] + previous_value)\n", " samples.append(wavetable[current_sample])\n", " previous_value = samples[-1]\n", " current_sample += 1\n", " current_sample = current_sample % wavetable.size\n", " return np.array(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try this. The authors recommend to use a wavetable made using a random signal containing either 1s or -1s." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wavetable_size = fs // 55 \n", "\n", "wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HYJe15mJyLfdYritY+S6UJBYrCwIo8XJhl9FfWLxS4tIqGxI5UhnSmkr2YlCH\nNXxPZp9Q0pLkoGTPM6/y8aSrdHqwojxfIWNEcXP2vVWtY/1/7xvcWnWeQUnG/RdelI+VtP/l1GWP\nuqEkpcfSutCi85OgU7Ux6INIXnpYkYcamNvR52EdfZeWeZO1UeA98Ug/Z7zdw5VL97L+lv97n8fq\nnCyDbKPkMxa0hGfIFwMmf4ETCwvlWUk6rpHox4inDHKT4T4VFvda8FLqqZXy0g9x8/M2YZkpJO/l\nWZyjWIySdzwUngG3122zrKTCymJZ/a0690qFpHMai/ylxZTn/y7xuDVxQp0azLKwzBZ5McXjolO1\nMehyv2NYn5UUsVV/wkssmKknK6lUFtzDRZf6Lw6uXLoXkxYrqImqr+GsJGvRzzH88sbA9+6BbCRG\nLXUu40BTcC+V1+uTHa/A/Fn7hpX1qcMIybH0eO/kLXVC/iA8pAzXLsAXHJNq6St/voyJMb3GepWl\ndb2UvUfnugCfnIcsz6Ino8+SWKe9Za0tnRfvkcUYLIh5/q5B5ydBp2pj0PEBC/9r5xEtFc86IsoX\ni9KiqalUssMrGz0Ghhtgfl+6lyeXW95CwD4S2y9tfhpy0FQqUe2/ojJi1FLnUo4QoiczELm4stR5\n0qeSXJUYwy5lt4PQvYyjmN6ZgFd0CuXUFyWXwLWtvnpTYzB0rP9vCT5Lq79V51nyh+EVWmdaLOJY\nzDJXGldeS+d+2/yslOW99ej8JOh0bQza2hjLLq/NQ2Oc/uJtZUXodwOUqFQW3M2qGcOSfjjxWOEe\ne4t5tojOslD6UpSkjw6UVoVdLCjJ2QwldGLVEeI2sjSFy0voXGLBEnbRVKvO2VI/yCKdAiyt6tIm\nzIf4UhnrUNLiWRWeAbfXesmgpFLwWW3wPTrPUl3VfWV8pQQlSd67xOOqcULPe9MGXYfOT4JO1cag\nF1OvzG2Rh2HtuHCPETDqKokx+mXBa4tkbybDLllJ+jWKRY/BWLSt700oqbAZLouBkZXE95OLVql+\nEOs8iVeUYh+ULlZZnxoWS4s2wsqXm18aYM83YQ/XLsWIZMyqtpElm69emBs2QSsVt1XnmceuDA05\nH73X3ya8yS+P4lFvVlL2LIx4QY/OT4JO18agMxoKUI1HeTnkeuaQpJ6spBrvqU3OXy6S7bnZsZ2+\nROeq6883wuLUMnlBNk+u0LAAW3ELazHQgf6g5PX6mnofaT/sDWv67T3PUp9KJK38EJA8V/1aTJbd\ne7Wm9ZpMoWkUAAAgAElEQVRL9vh0zKWWcirHldbP2JGVZM2hms7zGF9QvGJ77/W3sr30GHoKTmo+\nflv7WfiwXl3nJ0GnamPQuHwJBvIoLwlgl6yY2uaDTT7bUq14AHMtJ5+3lEPyT/Ha4i2Se1l/A2lM\nxrpmEDGNcQwVKCmFCTI5CmW3NTYd5ZB9FrhzMoF1TMTpq9A5US5vKcbgPc9Sn0okD50xHs6fW56X\n9oo8XkyxuF86N8aKvOmrRVP9sFylrlqv52zVeRxnsc/T7yhPoicXSoptYqkVX2ZJPcadfG6yD5mR\n1aHzk6BTtTHsBUrSGGcJ7rFcRoV7l6hUFrxU5iBazz1Qkj/YayW0BwFFbEMoThyNDWsqlaj2yg/L\nxUDqXPdJBkZLZbeTtFC1APfEPnSfOofaBP84EIlO15xk9yGJ0liUZSFGFYsx5RrsoO8kQ5t3pJ9T\nq85bivgl3mM17uOPK4+0zmtt9WIvn6slj0VS5ydBp2tjyLKS1llx07X1zcWy0voCV4VglOP+yoHY\ncyhmXVbS9FtCM3IBLl1Tz0oyFuCWzVBa2UoOCXN4uLLUuRU3KcU+PIuTN65SsTWL5MImvdskNVhl\nyHiWp+U9yj7Jza32TgW9YbF88v/qxpDET9p1HutlqfuKa5Lx73pxou/OuPKoNytJ68IKJPfo/CTo\nVG0MOj7Adfy7eMzt+RmVqita6XI9WUlj8MuCuzn9ypVeE3y2Thab9xKWsDw3UT4TEZLfmRyFhcU7\nSCZjRemp4NhmK7Dz0stZpM6JKHnOUoZULpi8LPl6KLGqg9r8lKXMf8tnomXM4YvYJxZvDHW8O321\naLw3X2/dP+eRxgdada4X8VHdf8L0Zxmc199q3rUDipp6Us6tZ28ZjD06Pwk6XRuDxjYLUI1HPWU1\nLPc9Dcw2WBsu7+l3zr/Nlc7uVYgxuFBSkAXL4rXbgkVlZdNY3xcPuBmTKlrTNpQ0CoiLEugrvYfU\neVomAgt/TbUietNZl/6NYaA4XpKUTsOqZtmLUFKmt/idtMRLsBl/XoOSahuhlKdH58smvOgl9xyS\nA26VcSYPg66DksrXWK/+NQ++duj8JOhUbQxWDvTakhhWfrnV1ithLXl4VOMNpANzKd1rLJI1SlLw\nvJfrZLBQOgn5s5SXuqYSY5DZIpqKJTESKMnu0+IxkP/q0+S8wJBDJsWy216fCht8ieTCNoa01IMV\nxJ+gJHthlgHrpf3SNp0bpWfA98/f+ZzybIKSjDlU03mW/KHayjldGv9JvGkZV0WRF9I6r7XVr/61\nnkWPzk+C9rIxENFziegOIrqTiF5qfP+1RPRxInrn/PPDrdfuk/SgCqGcVmcRD6IIiRRwQetQUYe1\nMRZ551aqtAABhhyKt7DlyjwG53NhDUm9lHhFmMCTY+6DFWPw4LNEDglrqEXTspCtPonNTkNfpdiH\nDyX1p6oyX3k+oJTSOd0/HwOSl9b5GNJXovJnpWcAsCeT6kXrvOYxDEKeHp3npULCwoOvafEYguhj\n9ELaJovWebmtU3bb894adH4StPMb3IhoA+CnAXwDgLsB3ExEN4YQ3qOa/nYI4a+svHYvZLmh/TGG\n1LrYhmMuu+1s3ToILnnHGEO7e1yEkhbLzpBPxDNYHn2wTFIzlGSV3Xbfx2CnKOpNOPKWKYoGryHn\n1QRxOarejv2vkF3uL6xq3vyIUo9Vyi69gJRXrnMdmwGmhc7jIeXKoCSl85onLuXp0Xnusc99Edek\n8Sb7/rKPvYdBew+4WeVJsqSHDp2fBO3DY7gWwJ0hhA+EEB4C8GoA153Atd1kxQd6oSSN7RfhnsEf\nAPpvi0rxCyurRi58k6wdWUmF4LO10Gr5ZOXa0sSxsHFJJYvTL2ORymFtZDow62Z1jallrhcpOyie\n9s3q0xqPYRjS4K7MttFQCt/fW5it6pzbMfW0gPT5FWENFQfQOq954lm5j0adx4OJaf+lPLJPdQMk\n6rR1rpQMH6ut1gVvWKEwdzX1zOV90D42hisA3CX+v3v+TNNXEdFtRPQbRPQlndfuhazXJfZCSRbG\n2VNDvTujocAbyBc/+Z2FZXpU2rD05JPt5MQCUixfyyd5VYOCBcjGwsqtCa5TgyVvD1eWOpcWZ8kS\n5qKFbvB5ZYwhfe+BWjyNZyIXdbPUs/FcdYxoFJuLD2vkWVFZimllZcnjJ206z1PO0/tOmzCW62oG\nSFJmZM1cafAYLFhvksGXR1NPhuE+aGcoqZHeAeCqEMIniej5AH4VwDU9DIjoegDXA8BVV121Sgir\nJMbarCSJbXaV3S7UJNJU2risstHawrJwZY9KKaZ6osprNsI64zbWgNf/e4Ocry2990BfGkLaZ4k3\ny/vKhcbDlVMsP8ewixlohRjDqqwksVhJHhMOn8dzdGlxLZ/p8akYURJjKGXIqDGhdd7iMVgGWk3n\ng/LYrbTZhRfZr79NeA+ybVFkcW2q83Jb+1kAqf57dH4StA+P4R4AV4r/nzh/tlAI4cEQwifnv28C\ncIaIHt9yreBxQwjhbAjh7CWXXLJK0Cw+UChnUecRLSVvzpOB8fd4DBIvzXlbMYb0OwtXdu9VkMuF\nkgS8IeUpQ0npb02lk7MeZLMVGLXUeeoFxUBhqcigxqhzvNuWmwp49lgYIyVKIKNRWMIipqG9M++A\nm1VSgdONZXv5/LypIceVlS5q3T/nIQ64dehc1zWyYh1k8NKk+9gzV0oesdVWP3u+p2XUtej8JGgf\nG8PNAK4hoicT0UUAXgDgRtmAiJ5A89Miomvn+/5xy7X7JLMA3g5lt62ywJKs04qlOkKaSmXBrYJy\ny6LKg32te6w3M2Ohnf6PC4CUp1heo+IxlMpHlNJVrdOuWWBWwRwm1Cd0br0Qp+dtfbJPq9NVuS8y\nxiCK9mkP1EurNTPkhMWajOuFhwNrGHrROq8Gn9Xp7Vad68NoVmmM5BxPsK163ceestY9Xr8FI5pz\nt0PnJ0E7Q0khhPNE9BIAbwSwAfCKEMK7iei75u9fDuCvAfg7RHQewKcBvCBMT8u8dleZPNLByzXY\nr8Q4l0nYAS+kuHf5XtsQcMbZGaxFUh9usnBlj0qejM4AWdoJK1bKUyr70ZyVZOjUfUVlSCERy8OR\nlvBinVoBWaFzjfHzZxYVoaSxP8lhkc+yqg3jhP/39OeVgN+ojX07NvTV0IvWeVtJjLiot+p8UON+\nSaW2YjHCs9JnCTRvC2rzqMe4sxJczLnbofOToL3EGGZ46Cb12cvF3/8MwD9rvfa4KI8PrDjgZpUn\nLuzyetz0ZCXJTBSL99RGtFfWWt9gT++r5QDssts6K2mCN2Ibffuax1ArUW1Z5lqOiDenbTRvC1eW\nOrdKibvPuuDqr81KklZ+EkeR3pna0D392RlyeVZS67jOYwtI/q8ZXNozaNW5NYfT38IjFH3aIJVH\n93FtifraNSHkupCpwZ48mk7aYzhVJ591ud+dym6HennigfKsBflvNXBVkM8Kni4TSeD+q8puZ55B\n3ob/l/EMlqd0MtRKs0x4VtIdzWJwo4qrGFCSzkpa2hqw2aD7NMoTxaZY84bk9CnUMXeLvKykJB6g\nvaIFissXIyt5gPvTU3Z7IMNSVzqvdTfJbOrQeZaVpLxZyct7/e3ULu3j+rlS8RhCfhbJnLsdOj8J\nOlUbA6BS/VZYchtjUpbesuZBKXz/EpXks3L6NbRl4coepcX9PCgpX0S1FauDzx6U5kJJobyweK+o\n3Bhxg9Tll7x9XFnqPCkl3uDJlEpirAk+y8Jp0yaMRe6Jbw5rdEFJJuzSUnY7L1uhdd4LJbXqXAZu\nQwhZEb+El/Iukr6rPvaUte6LExplt4fYR08eTT3lbfZBp29jEJbBuKbs9pAvgFW4x9kM6oGrPt4Z\nlNSBS1qDVMuZxx7S4B23LWU4jWP6W1OtRLWLlesgqiHHkpVUgNr0+4eXPjU8a8/itHLZWyhJ6Uw2\n4Zlv0Jswsj5G+XKd67pCLGutEJ6VOcQy1uJuUR4ZP2nXuVXsT8qRlCcveAyad09Za63zYlvDuCvO\n3QadnwSduo1hOk0aF7rerKRYE6gND+f7MPVYG6Egn3VIZoFKjAyPGmk8XsqwfF4oicF9lXqZrgnZ\nNfoe+vvSImr1SWLUKf4e22zHtOw2t7XgFR1Qb33Wey+7TWkgvXTmIP5vW57WJmhnJdUDyJtB1jPS\n90fCz+2bmIc9OpcehTVmR8NYsR6L5r2PuWK39bOSLAOqRecnQadvY1AubH+MAcu1rR5DOgDi99W3\nPzXEGKzBldaK2Q1KKkFfCTbslt1O71Orrlp7JlbNmFQOsXA41mwJV05z6vM+FTHgwma3ZmOQVr6M\nU8hYmTY6NFwW5bNLwGfYfsu4Frz0+GiFzbI6UI06l9a2FQTeivvLeIWmLEOtsLFr8gw9s61xVsqq\nrdWj85OgU7cxsMvI+OTa4HMS6HMzVSIWzFSCbDRJV9/n7W8MXVBSw2ZQKlHtBUR1WfAFE/as68Jm\nCNhYawIlCZ3rDVm76xauLHVuPmtHtNKZkbVQUh6gxSy3wOGNhRmwM2HMviqPT3pWZVgj8mBinbf0\nNTPQOnQ+bcL2mE28R8Mwk32X9+spa90VJxxzr9+Ekjp0fhJ06jYGfnlNhF36JqzEOOVJWrvt9Ntb\nKOvWRvklQICNd0b3uD2TId2wpAx2G8CehKWspJYJtR3Lz8SaIDJWJHWu5dDP3DuAuNF9GqMl7MY+\nhtL7hevQisdTWtVmoF/p1xvX1oZqQkljyMZRLlccu9b7IFqMrSx+0qFz7ovelFgHuZGQPxcdi5my\nfhqNKGdMe23zZ5Ff26Pzk6BTtzFwzZEFC+2cr1Y5AteKNGIMPdbG5Or3846udDuUJPFLXWNIypPJ\np8s0OC6+vt4NPocyFDGQfZ5C9pk/0y5/fOYRksnjFXB51SAuz+Jc8wpZ5pkUmlvkZr46/TnqWIs6\nLXzpZymE0zeurVhRi54seXp1znoJxjmA5EyEAdno9uvmiv233dYuuw14MLDNp0e+fdCp2xgG4sBV\nGQYqXQ+oGMMKuGf6u3wv69RkxrsQY+hJcfOO+VehJDUJNbzh992BkipQhHma3LESvbLbSVaSwWuB\nNSRkU4D1pvv6fZJ66iFdrE4Hn63U4KWPFpRUiDEknlYNIpWeTLLZh6rHJ+VJYgwdOmdvw4JlR+Gd\nea+/lZ+tK1Hf4TEYz551bhlgLTo/CTqFG4OCkjon7FJiuTAJmSy4pytwFVqgpLS9/K4noObFPmp1\nj3S6Y6nsdsuEKgXcAS+I6qRdOjCLxOqzdz4LnSelxCuLexFKKmzwJRoo6knqpRRjKEJJxvOzN9TK\nuJaejLExtXRV6qtX5wwnWgbItBDHdlpG3V4aNq0WeX+MIX8W03c5zxadnwSduo2BrY1aelgbj/i/\nRVa6XHfZ7QLmyG00v7QkRvEWC6VQkpQhlSeTT1mcVgpl7e+UZ9mLm9L28mvs0hw5zCHbWFZ+apmn\nfarHPuw+hdBvgDBPli8EZAHaKZgvn1v5RT35mQ1jY28Y19qTYWKdt8ypJMbQqXN+blapeNNYMcaa\n7uP6uVK+KAivLMpvGYypPJp65NsHnbqNga0Nxjd7y27zNdI681jwM+5dHJlKZcGXlMUClCQtzhq5\nWUmOt8PfZeUHNJSUeB8Qn9ty1Cxzq09miqK2poUnk1iJGa/YF11KvDRUShanVRahhaSVvw25JSwL\nOfL/XnbLJF/K34rNyANuXn9JeTKSX83jizyit9arc9aLFQROy2vkC7BuT2LcNM8VxyP22uq13lwX\nOnR+EnT6Noa5pEI8odnPg9266qEUyzIoLLSaJkvKlyHjHdLvVrvHjowZFCHKJcs6+S3BdhdKqkAR\nFtYqq5daaZfcD50X78Mrqk+zJV6LfXjztnWx1CSfXwolRb7pmRGRUaQzeYyFRXp8MmbVUv7DCj4v\nUFKLx0BIoaQOnbNerHG6lX0qegxpH3sOuGmdl9uW3uCWz40WnZ8EnbqNgXP716ar8jUt5Yl1iWCg\n09ooWM92uirDCFLOtsHkeTLWxrN8FxoCot4m4chVK1FtYa3WYqDlGIN8f8b0mbVxSp3rPhU9mYKu\nW+EVi+cCkQi9lDKv9BgoyWdBSU1lt6Uno55pa6Bd8+jROS/iowHLJhVjhWelSfex58xPb5zQgvWk\nDJY8mnrm8j7o1G0MPKgYG1wbFLQwa02yTARTr8dQylLweMtFstXKWBMX8FIDJa+Q/F3HZtssc8vK\nTxeDoORIMnYKuLLUuS4lXt6wSnGTte98FhBJQLZ4ys2O//dKd0wlxnOPz4oR1eaG3LCCeta1WMzC\nQ3kdPTrnRdwam2l5jfQ7SVm8qWeudM1hy3vLPYYenZ8Enb6Ngd1QB4tt4qEsFr8kxvTby/ipBp8L\nEASPH4u3tCxbB5PG46MMdhstX/KeCi9e4eghkcOYSJLMV1TKstveAbdRwoesn0qfBBZcK/VQCj6v\neYXs1Jf208H6fyvGYJ0Yj69EFVDSWJ4bMmivn+lYicVIeZaNoVPni8eebAyiT0a8QpMVj1t1GLQy\nwbZGH2SMSPNZU3LlOGgvGwMRPZeI7iCiO4nopcb3f4OIbiOidxHR24joaeK7D86fv5OIbtmHPCXK\noKRVllwa/PLiAF72wVEB+5RUKi9QijHEkhjtASteRM9sUsuJ+3hm40A4BrYvr7Hc5elzX47SI7FK\niW+FlagXzTMb4UHM95dlt21edp9qUJLrMYz9xRq5LyFZPOO9gLh4ch9Li7pV/VV6fGlfkXymSb8n\ngu+/6KkxKykJrHfonGjOwBrzcZbEYgzLnEnHYnrO/Gidl9oBVoYYsmt7dH4StPMb3IhoA+CnAXwD\ngLsB3ExEN4YQ3iOa/RGArwkhfIyIngfgBgBfKb5/dgjho7vK0kI8QRZrfzX2W7esrCATlyHQFq1F\npbLgVmBtgZKEe9ybaXFmMziL+ZBbnEa5ZKmXM5vBzErSn6c8K1CSMUEsjJrlOLMZcG679UtiZB5D\n3ifO1KnFPkoB9VWxLGHl24sn5s1v7qPMvMoCngYUONoxIh2L0cRlZZgH35913mJspfGTPp3rkhhy\nzHp90mTFm3rmitR5qR1QgJLGfO626PwkaB8ew7UA7gwhfCCE8BCAVwO4TjYIIbwthPCx+d/fA/DE\nPdx3FXG53ziBVvAgwjiuK7vNC19L/feWrCQLtpEBtdZSvcxGY/h8/ZGBcSZ4ruhrek2Ox+rPUzkq\nB9wc+XTAcZIjemcTJp3K6pXw1n2asPOGE9kr++SRtPJd2E55oF79LiurxQrac1+5TxalWUnp/UNo\nM7ZkTKZX50uMYe7r0SA8q5AaRvyZJive1DNXWrx+LwYpDyh68mi6ELOSrgBwl/j/7vkzj/4WgN8Q\n/wcAbyaitxPR9d5FRHQ9Ed1CRLc88MADq4VlrHWnGAMhsUA9HhbGyRhoS7XEbWFBiSUo0vbTfWOb\nHvd4IGS5/dIqM8tHqODzlNWC5RortU97JYkclQVYZxLpZ6Dz4M/MK06aLMC8clxZ6jwpJR7KY4UK\nsF1rYTlN0spPFjxhFIyyjwLG07cj09NKX4kKoGlupCUx4v1Z5y3OkbTQe3W+xPjkeBLyxPE//Tah\npCzG0AslRZ377WJfJXnrgtWW6aRLYuwMJfUQET0b08bwLPHxs0II9xDRpQDeRETvCyG8VV8bQrgB\nEwSFs2fPrtYQD0hdgrmLx+zW1R6mLBPBFMI0YOULgyyqlQVfrEYxuKyXj/S8x3YzUGb5SljoM+e3\n2TUxqyPKw9cfqbjEKHmdS3nJ+5WeiYZsdP631LlctJJUTgE7nRMK0jrXh75KC17J4lwLJeXnGOK9\nmK/c/CQ8aeXO60XM8vha5sYwe8yAXiTLxkzCY5Znjc55Q5dj87yEkoy4iSbdxxZDjUnr3G3noBL8\nbOSlPTo/CdqHx3APgCvF/0+cP0uIiL4MwL8EcF0I4Y/58xDCPfPv+wG8DhM0dWykC3CtPscg3XbP\n/bOykiSUVLA2aucsLHdUl+7tfeez5ckscYEjC4838s9DnNAaLls8hqPCuwsqUIQuJa6tMl12+8xR\n9Kz0M9e4chaDUPGKauzDg5JWvEJWy1fKSoqboT+uLahL9imNEcHkEXlFXW6D1HFIMP4Ssb7W6Fx7\n/WeO0ndjZ30y5ll+37L1n1yrdO62cxZ7a8Pq0flJ0D42hpsBXENETyaiiwC8AMCNsgERXQXgVwC8\nKITwB+LzRxLRxfw3gG8EcPseZHKJ4wO1VNMqjwSLtdvJg0hMPKhqrqHE/Ht4y+96cEmGcDbKk1nc\n9WGwaxQZ2P4o+mgGn4fBTaMNIZZ+sEjHQPQz0Ie/zgzRY+DLpMdg1dvJ+jQ2lN0ueGelWFGJpJU/\n6SVdPEOY6zDNnt40JtM+LvJRHiOS1r11ct1b35MYwyh0LJ59jQYlb4/OWS9BjE2ObUnvI24y+f11\nvMk6H+OR1rnfzt6krTT2Hp2fBO0MJYUQzhPRSwC8EcAGwCtCCO8mou+av385gB8G8DgA/3zG186H\nEM4CuAzA6+bPjgD8UgjhDbvKVCKa4wO1B1HjkeK5lcVbwT00W+al5zwuvO3vPd7TdyxnTylhCI8h\n32yONhZGHfFc+brJreijdRhIQ0yaZy3GYJ7dUFDEJMd0L26nrUTNS+tc1n+qbgzkQ4M1eMwjaeUn\n1j3HAwSmz3GvCEnk8uVQkgHhzAYPUblO17QpzcHvTarzljMbLM8anS9ZSRx83vCBN+at9GQ8l+W+\n4hxHq0WudV5qJ+Vh4v+1Adaq8zVnYnppLzGGEMJNAG5Sn71c/P23Afxt47oPAHia/vw4aTMQHjo/\nVqGaGg+JxfaWrdgQJXncFrUckZ/aGdcIt7zVPZ4mobFYChxXTwJ5olenOy59FJeUUl9lm9LAzzYb\nI24g5ZDB561aNDVslmV1yXhFDUoqPE95sreHiCbLlhdgyhbx+M4C1os3rutQ0izrWE851WUrZPB5\nevb1vsXFvV/nNHs/SVp00vepnWU8yb4n96X2uaJ1XmoHFLKS1Nhr1fnRmgJvnXTqTj7rHOh1JTFs\nfNRqB+RxgM08qNoCVx7vtN3EO18ke6ygxT02cHcvKynLrQ+yjyqdNkRebP1oqpWP8ILjOmNHB2bZ\nOpVWmcaV80B2/Lwa+yg8z9bc/qyvxMUa4/9SvnFUm7CEgTR8ISxOKVe2oYrNxpVLtZWB2NoGKuXh\nGInk2aJzLsCns5J030vnGKykhZ6spBbjzksdNteFDp2fBJ26jYGx1gi7rNsY2IoD6mW35bOcrMd6\nsItfW1hyLYnseAAPMLY4WyjGGFLclP/WJ6L5u6Vc8jyS+IzIQDluu2DCy6lRS46yFzdtNrl80Qvg\ne019iqdy801Hp75qncsyEbXXc5asxzGsgyyXJIdlEYv3Yr7Lc1NxLw++GPVYJP094/S+XCR0HII6\nXd4IdSwb1Qqd601wGpt53604HFNQc5fUuCqR1nmp3SRH+jn/n8LA7To/CTqFGwO7y9P/qyw5NTCr\nmUMKZ2csvxRMiqcmC3KoeEBmWXa4xzyhOQYjPweAozlgrDciM91RuNpW5sXREKEHTdux9gpNO/js\nvcEtTe1MLVCdAKB1LgOhLa6+p+raqWmPePFcPEHLqh6jkZBkFClZrRfQS/0MPX0Vz3o7huR51jw+\nKU/iMXToXHvsR4OCkho2BhNKavauU5377cpQUnbwtVHnJ0GnbmPgRT0+tH4ew4yd1+IA8v21TDwA\nannTLTGQbGFTfeqGkoiyzWSBko4Yq8+vkXIucIKx+eW8bCiptIZq9z1bDJQcR8MQa+so3l5fderk\nEuStQUnOpN02LpYWTwDLWQsrwM6bcw4lKV7mYmRtqPXNOUlNDvF5dkFJOsbQofPoscfxJNPHrT5p\nsu7buuhqnZfaAQUoSY29A5T050i8WAXnobXQRiw0gI89mzVRZmu6lh5X4838rawfaTF5WL4mjgtk\nCy9PPsv7GfPc+glOwNJHbaF6vKIcDe89MDfDaPlNcoQoB8VkAclbb5xa5xJ+CaE8VkpnRloXS4sn\nAJzfKutWLPJsofN48hIi7KKL8kU98bMQyvIuC9s2fZ5S59W+zYu7LmnSovOY/IHl/iEYHp+RFir7\nLuNNfS/qkckVdY/BSgRgGaQ8LToPjXDXrnRqN4adg8/SOvM8BgPXjdZ02S2s8Z6+y3nLa6z7exTE\nRJHtl7pHRjVJmU7IauQFeKBcvrHAK7apB3lDIl/8XP7mmMJAwjoNqVWmceUMoxY1iaZrXbGKHkMI\n68tuA8C5WUjzgNvIEGC5nLx57mWMHlQCRwU7TTTyQiLX0SbXebVvlAafe3S+eOxqPJ1XemKde0kO\nso96rJYowq7l+kpeDFKOUU8eTcv8OngMx0MZlLRywm4b4hSDietOA6VmodRgKimH5M2fAzau7N6P\nA2qDXjym3zLtU18z3UssVrMlqvsoM5wAO9inrXpNupS4LjsgdS434SWDR6xaGle2cGfJq3bAzVPz\nVsRieojvf27xGOK9AOExKK9ItpHyAflGOCh98Lgu9ZV1yHLpWkk91VXX6Hwjnqe8P8ujD+3Znmk6\nt2qVCCRpnZfaAbnHYJbdbtT5IcZwTBRPXNYxfI94QamVyjVdxlFmNBQGVUNZ8OwUsHJdLVzZIxlj\nsDD8i8TklzLyYJYWJ0NMeXBc8bKCgjXL3Ikx5KddI0bN2SPaEs6gLqVzawH2qPQ816arLjGG86kl\nHBc8BWuM6WadyjfLoseitJqHWA6+tJEtnsws10XCaKhh5VGe2crfphtZi86118/3Z3ksY0XTqMZZ\nT1lrrfNSO9lXJlklYJGnUeetcNeudOo2hs2yePH/KzaGxs3FGgDRMm+1NgpyaItXxRis+3sUZgjH\nK2t9ZKSYyqwkKQ9PaK8kRhlKqhfRs14Rqs9TcNoley4T9JdaZdrK1zrPynxULDrree70CtlBQSQG\n3K+j97gAACAASURBVDJBb1iKMo4FXJ6vYdKbyGaG6ap9pVQu+Ty9uEAuDxIePTqXz1Pef+El4gaA\nneKZxZsqhlpyrdK5385+9l62YovODxvDMZHGNlfsC0uJZQ/Pje3yAcDusfWKSkk13szfOrnLl1jZ\nD+79lriAvdkcGWWGtQXOmVZcLnmCcPI+WbyYakXYaiUxkrLbgc+MRA9PbmQD5Qul5CWx4NrrOYns\n/uwCWbKVv0BJWYCW4znxwOQ42m/AkyVLmEbVp0GM69rpcynXkYSSKh6flkfDPy061x77kYKS4vif\nfrueqeEttZDWud+O5Uj74JXdbtH5AUo6JmKX0StP3EI6A8Sb9JaVFgLmw18Va6NhQdGH5Kyy2xOv\napeWiVKFkuZ7WGXBh0EuVkbWj8NLy1GPq4j2BSgprRib498Z1KWD96JMRM3V9yzO2gn2EkUsP7WE\nExxe4d1eBpSV7qg9vsUSr23OSi4JJbHOe/vWo3MdJ1ygpK2CkgqLqT5bMh1QrIo98WuMMej4l5Qf\nyMtut+j8pEpvn7qNYUNpSYy1MQY5MGtQUlYThQdVYWNokU/zyN5jW7CYNPHAzMpaz9eeEYXSuB9a\nPr04ZQfcFC97wpYtcx0c16XPE/w9RDk4xpBYyApXtsok8Ocedh/lsp/nLlV8o1U9zv9Huac+is1v\niLi7CSU5VqpO3514VMbdvGqwXPJ0eU1PWp5sMW/QORGS9FS+v+ZVwuUzGK2jrLXWuUeet7g8i8Rb\nbdP5ISvpmEiX+12blSR51LKSNFzBg6oYY2hYULKsH4VpWh6Lez8R+7DjAukBt6Xvg1poQ6yKuRns\nstbMy8R+Q59lruMCKf7OQcJpMoeQb2RWX3VWi+yTR9MmY/dHytdDOvtHL55hHoNLMsMYY0WWfHzN\n9Dt/DaeMEZXWdg9KaonFaHm8TKKSznkTjvGvclaSCVkqb7c3xiB17lG17LaKMbTo/BBjOCYaKE11\nW+EwRB4cp6i9j0HBFdGKbQhcVQaL5i3bW7iyR1wu2cPwl0Np8/9L38X9WB6e0JrXkl5YyBapHQbT\npcRjrEjh72NYvI/FS1S8Na6sdU4Jr3qeuQeNSbl6SGfuxBhD5M2xIaL0f0s+IOrcsmY5ZlXvayoX\nP0+p8xqxPEtWUofOZVqtvP95L15hGSDGXAmh9TBoqvNSOykHk7cutOi8NXNqVzp1GwNbGzUYqItH\nJcagFx/G8kvWRot8kxzxf53e13OMnsslW5sNgOwdt1bfpV4ilJT3qfRaxGpW0mDL55bmGOZDexwY\nzTayXD73bEYF1jOzrHYIPmssPw/Qpt7ZWJBTjwXL42PPqrY56/hAXl213rcsftKhc/1q3TNZjIHb\nTb+9pABzrjQsvFrnHnlGQfSKfHk09czlfdBeNgYiei4R3UFEdxLRS43viYh+av7+NiL6itZr903e\nicteHnJgeg/U2uW5lPBQwTRbTmaz5yKv0e4x0J6VtKTRWh4D18PhjcHoe5KVNEQIx+PlTdjaxmCV\nxMgydmRgliEuxVvjyhkUJyzO2us5h8G2OHcxQPiSh9TGsECEYhFnvXiWpx6L+pQ3EGNW9VO4lMgl\nn2drjEHz6NH5QNOiuhgt8/09PbVkJfUsvN5c0eS9+teqodaq8wsmK4mINgB+GsDzADwVwAuJ6Kmq\n2fMAXDP/XA/gZzqu3Stt1ATeJSuJn2s9Kyl+xpZ5zdpoqeWUxwNyqGTiVe7PJKOo+mqUtT5S8Ypg\nxEA404pfz6nlWzBhQy/yfrV01USf6hlInQdh2fGbyUoxBq1ztji5LlYt9gHkE3eRb+U4AySUlN5r\nnPu0vDTG6KPmxfLEDSu2iTGiuqcq5ToydN7dtw6dL5ugGk855JaOWUk63sRtm+eK0Hmp3SSP3Ye0\nzlmbzk/IYdiLx3AtgDtDCB8IITwE4NUArlNtrgPwC2Gi3wPwaCK6vPHavdJASPDJtR6DhJK856lx\nXf57gVmK+GRdvizrR1lY1v09ihuDzvpRUFJIPQYNzchSBvp1ibq8hptGWMHyrcKBLIfsM8vB12j9\naFxZ61xaaS0lMaRePPl6aMHy1QE3FmMb4qE9r4+RF5a+SDnT8RLfAleSd4kPjApKatCTx6NH51JO\neX+Pl++Z5vK0zZVU5x7p+FfaB2Seb4vOLxiPAcAVAO4S/989f9bSpuXavZIsqDb9v4LHbFXXYAIr\nXW4M4n3IhWe8bDqVwm2atxRltXusNjJATv708wxK4gDoYJTwVpiwl0ZYmiBVKEnoXKfN6jIIGlfW\nOpf6YyvRI8/irMWhSrTALef1xiA3guidWX3UvMoeX/Ssin0dUrn061O7oKSl3EeUASjrnMfZqMbT\nQ7p0yPJ88/tvFe/uuSJ07pFX6Zb7kM3dBp1fUDGGkyAiup6IbiGiWx544IHVfHixKj20Ko8hBv6I\n/CyMUqnjGpS0uKE1vF3zNtzj1qwkLolhZeroswfWcX/uk+yjmZVUOMdQW1gGbeV7cYExWtNLfv6Y\n5+1LHlrnSbxCXavJK1gYN5t14wzI01X5b7kJy025VBKjHCNq7Ov8XSyil+u83reUR4/Ol0D74oF6\nvJD0VVJWJ6pnriidl9rJvlp9kG2bSmJcQB7DPQCuFP8/cf6spU3LtQCAEMINIYSzIYSzl1xyyWph\nl0DkrsHnjiCdfJbe4S9NXp2VlH/OW0MD+v4eLXEBSstaa6tsVIuohq4mnBsxJdc8LOd7DCHU+pz2\nSb+iVX7PGHXyvARvFp3F0DrnptynsqtvW3S1OFSJMigpkT2+V4Q34VAYk9pjsGDQ3nGtoaQl5tHQ\nVa9vLTqX8RR5/wglTe2s198y6T7K+9ZI69wj5mWpUmfsrVlLjpP2sTHcDOAaInoyEV0E4AUAblRt\nbgTwN+fspGcC+HgI4d7Ga/dK/L6BXSy55ZTpWLborQNuI1vmZC+MTF4OtCVH5K3d45RXiSQer+MW\nQF74zoJIFphunDwp3Ue+plREr1YSQ/dJn/ZO6vmPIvgsPJmFl/LotM6lla1LKGjyLE6vLEILeVY1\n/x1TcDVcZmwMCtb0PL6prxUIU3ky8nk2Q0mqbz06Xzx2NZ4WXkOqJ9szzfvO962R1rlHMfhsbdQ6\nltem85OKMRztyiCEcJ6IXgLgjQA2AF4RQng3EX3X/P3LAdwE4PkA7gTwKQDfWbp2V5lKFCtD+g+t\nhUcJz9X30nDPQHnGjqbSoNJyLNeojaqUlaFpcY8NeArIA8ZWWfAFpgt2vCLn5chRsszVApfFBRIo\nKSybML+KtZSiqHWuX15Tg/UmHnl/gN08hniOIb0fF5qLEKAPSejyLBZUyR7DNgScKQxsXc5Cjo0a\nVu7x6NH5Apup8aR5AdFY0aQznvpK1Kc699v5cLCe/606P6mTzztvDAAQQrgJ0+IvP3u5+DsA+O7W\na4+T4usS08JkfTxmV7aKO+cbA0/cWkmM2kuAAGQ88vov7VbQEhdQQbEYfFYLsmEJS5iO+5jyQsIr\nS+1s8OL0ZqsX842Y4GPAIkd87WTkpa18S+eyTEQx9uHoumWDr/E8v82hJLY4w7zAxdfN2vrTFqfl\nMS/jugJrbJRccmywzmtUmoc1ncvnCch01TRIv/DyYlkF77FEo9B5S5zQ9nryJI8WnZ/UxnDBBJ/3\nRbrc74p9YSmxrA/JePdK6gWJwFVpDPIAKMk3UF6hUbbv8Rh40bSyJQDgaNC1knJLmEsqcLlkHQPR\nvDQ+2xJw133ScsiSCux9LB6egjk0rmzpnLHgWqmHyMvu0xqPQQd5tSXMVnUCJTke16DGolWLi2HE\nWsqwVzK7JdXV49Gjc/08h0weycvG5Tk7UN6TP6/RKHTe4vVbuiR1be38h1Wq+zjp1G0M3lH8Lh4k\nTplWrrdOEk+LVfkht5QFt3hbB9yaBjvHGAYVFGMcV1nEVqkHrnzK5ZK9stZeSYym097cJ5U2qyEi\nhgqX7BFjI9celaVzLiW+VdCDJs/i3AlKUlVMtSWcnNUYYh9LB9xYx5bHl1RorYw7KRfDhlLnNfKg\nJO53SedcxJLnki4dkkFJxjzLMvjUuCqR1rnfLu2rJD03WnV+8BiOibIBuRJKKk1Cfb80+2DO2KnE\nGGrlNgAsC17C23SPiyIu95smuAoYh/g2NkDALoZ8G0r14pW1vujIg5JivzzSpcQtqGZDlDzf9D0R\n/sZZ7FMFNvQ2Ya8sQguVYgzLKeUxfVWsB0kMauOyrFlZnK78DPI5pHVeo5KBVtM5Nz2/HafkgkxP\nGh5rgJI6ylprnZfaAXZQmWG7KE+bzlvm8j7o1G0MWTbESuw3BE6nK1+vX//Hi5OHfS7t5q9quKMF\nU8l7T7zWxxh4s9HBVROKEDGGweE1yW2X3Y6LvC+ntpysV7QOQ/p8I3aeL0AJL0Pn0ipsiX1oi7Ol\nTy5PNVa17OMY+8R9DMHehHRJBds7EimwHVlJXPurZ055WUn8XUnnEmLbzPeWvDI9mcFnJ97UCLtK\nnfvtfONuUHXEWnV+8BiOiRZrYxybsFCPRyxYVmtru4y1wzEtZcE1D43v9hzaYTxXl7XmuIXO048W\nZ3o/aZlnh+VGfn1olFdSS2FDXUo8lh1I5ZDlERYoSXsM2oo2dK55eTQ4FmepLEKNslx/HQ8I/BpO\nEfdyYwyzPEpv2TmUsR4IteRq1ZOWR5894OtLvJag/DhOHmFBT94rdDPvsWOuaJ2X2rl9MOduXecX\n0gG3C4oWK+x8W761yUO6ui1QkuExDBVro3Rqkql2SKb7mP8A+0TmQDG4yguLIV8GJZEqax3SYGFW\nV6gxriKvta7ZEOHc+Wipy4NbZopioczHZpC8Giau16eVkCUA8/4M03Fm3HIS2gliZhu7WxKD39tc\nfwZSx1rn1b6R37eazuX9iWx5Ylt7MXUz+FqhJGqprupvDJMnk8rTovNDSYxjIonbrgkIAnFBqe3y\n3FZXUZwOXa23Npg0jyygpiziEskS1VlAW0BJmcWpg4ZzNgn30doUFzhoRaA2O5RmuOvDQAnezDhz\nfo4BCQ+vsJyFXWdyVfq0LsYw/fawc17EGe+2Mq88+SyYQ2Y2tWSGSbm0zqt9G3Iekn+Jl9RLmpXk\nBOktKKniPZZI69xtV3j22brQqPNDVtIx0WJdNFj7Lg9q55EHmUTGTmH3bykLnh2SGW0rqMXI4HQ5\nnUYbApbMHiAuKFZZ8OQcw5Dju/Lg2/R/KsOC8Zcsc42VG3GBzUA4Jyblkv6orDK3T4kOIXi5YsUN\nS3sMhnytNIhxpu/Pi1IIcWGe4l7ry25zzErHYjxeUsda5zWyeMTvyjof1Pwr8fKSPLJ4U+NcWV6J\nKnTu0RJTczyGLHGkQecn5DCcvo1hwTb34DFMPOr3y9JVhxzL19RSdjsrax2gcrOZVxuUNG0MyKCk\ngeTCwlBSLh/jpszLKmvN95jk1YtoHXbRfbLjAulhJ/asOJAu5ZU8vD5ZB6c0eXnmViymlTZinOn7\nE6Ue1jD/r8dA7Mf0W3tHOpdfljTxSM4hef8WPZV4SDlKvDbJ/KMqr32W3ZYb/UDl9su5GGOVJb0u\nNOr84DEcE6VQ0h54VJjogSlfHlPa/VvKguvMJi6Ep+XsLrutoSQZF9DnB1RmB5fE4Gwg2ZbLgXiB\nNMuKzfqssFbLXU+giIGSBa+EK1s674WStKp3gZKKKZ0CuuHYECdEbIxbaZ1bHp/0rLqhJKXzGmU8\nOnQu9cL3TnlpyC2/v47HtZa1lmO0FmOolcRIMgobdX6IMRwT8aB6aLsDlDRr7aFt+WHy/aySGPpz\nTS1By2wRdxa+pqykECe4tPJjXGC+h8pK0lCSLP1sLeIbY8OQ8gO1E8Zpn7xicA+JwnOx6KF9Mjw7\n4EYOr6Krn/Zh6ZMhXyvxJQ9ZKZ0U5VpO0hcSIrIYkXG+ovedz1IvWuc1ynh06JzHB8/hEi/tATNl\nc8UxVjTJ8eZ5I8s9CnCwuS406PyQlXRMJN3QtRvDkh7XwENi9rKWjU5X09RSYyfL+smCqwz/FEVc\n7sdWkLyGMWvmG/TGoCx1mVsfr7F5aeyX/+0pVucVgzsvrel5AgdllWkr3zwsN5BZq0iTZ9G1vKK1\nxtO6v5SLN2F5hsTjlRUfNGNE5b5qiIszv+T/vX3r0flGXDsMuTz6ZUx2jMF+UU9trsjx5vFm4q/8\ndFXJt03nJ7QvnL6NgZZBFVbllgNyUNd58KlbIA1GeZYMU5v1nC6umXvMuGQjlJTg/8KylJlEugib\njmnwOQYiIx4Q5rfXqXjFIkPTZpjLN30uYYH4/l+iNJUz3cg0r7xPRJFXyQbw4bFcvlaKC563+ckY\ng6j4ay1ESudW7INjVgz5ecTspY61zmsk55C+pqbzWIAvLHNJ8sriXsY8Yw9Z96mG4adxnbasJKsP\nev636vwAJR0T8eR6aDuusuIA6QaPVetIZh/IyVizNlo8Bu2O6swGb7Hy7selhOX9p88N2MWxrpdz\nDB6URLGEgT541HLCWFu+0bWPbTZEeEhY00R8cCvlrXFlr7yG5OWRZ9FZsZhWGsRY1TyGgcTnMZvM\nhZKUzr2+9rzBTeqlVU8Lj0Hx6NC51IuMMVjXTHpxoCTBWp+C90iWm9cZfNY9dN+W+w1GRmGDzg9Q\n0jFRfF3iDlCSCH7VJoE8/SsXPh5U3hugWstu68G1+uUj2aKdLub5exBy+eSLehLISFj3myGWMPCy\nkkqPxfNctBxJgTeSMIvgZcineckgbxOU5GQlrRlrpVz/DclaRdO43o4NZbeNsbjwHNqKQ1pBca3z\nGsl5OPWhXec6+UPLk/XJy0paMVcWr1bo3KPJQ/ayxPIKA00H3A4bw/FQCgOt5QHBo7IxEJm4fA0z\ntEpAW3LI6/XC52H59v2QTLLUYyBhUfnyxcC15jV9H2bvg3kdR9lt/vu8CMzy4qAzP4aGPpGCbHy5\nUh66T6ugJAW3eFASL8zW5ifbA3mMSMMpI5/3KMhLSi4eHxEWqvdN8+jRuYTYkpIYHWW3dZlrapwr\ncg7XCmGW9Kg9mVadXxC1kojosUT0JiJ6//z7MUabK4noPxDRe4jo3UT0PeK7HyGie4jonfPP83eR\np4UWa2Nc7zFsOnhIKElatxrf1tRUHoLsjCem1rLb8ixArEWE5dqBhJWvM3gSCIBz6e2aSPLdAVbf\nm6AkvXFZli8RzokaPDIrySoyWOzTgIVXUxqt16cVG8NSHM545/MwxD4SxXcDeJBE7gmmn/PfoxGL\nyXgNcfxPfZv6F/XU4DFQyqNH54O4v4Q/LV7e4r0NdiJC61yROvdoO/pGTpaV1KjzC2JjAPBSAG8J\nIVwD4C3z/5rOA/j+EMJTATwTwHcT0VPF9y8LITx9/jn2N7lJt3NtjKEbSloW2ek3UX3Rji5rBUpS\nMQa9QAI5ll+6ly5rvUBJymLxSlFsBUadw0/p5xns0gCf6T5ZEyqBNSgeRNJlBzSubOl8Q23nGNyy\n2ztASbGKqI3Da7iM+2hDSanOzdgMe1Yrym5rnVf7puGoDp3L+w+UyzMoXjaUtONcGeolMTg+Z5Gu\nldaq8wul7PZ1AF45//1KAN+iG4QQ7g0hvGP++xMA3gvgih3vu5riqeW2d9NaJF38WlBRvt9AWqS1\nYFfray51LaLUY5h+tx7asQ6l8QSyYg9APgllnre+Rh9887KSel6KblllmyGHOcZgbJx6sTR0Pgwp\nZOOR9zxbYkUelSCSjZSLYlHGMdj3yiBCwzuKPNpKQKdwXfp/tW+D6luHziWUK2NW1jWyhLekvKDi\n9Ls1K0nq3I8T+gHlDaVjpfYiqAut7PZlIYR7578/AuCyUmMiuhrAlwP4ffHx3yWi24joFRYUtW/i\nMXNu2/YKQpOHqP9egwikuymtDQ9OYZrS6Wpy5C8Ut2rMewOXib8eiLLXkQaGhbJ4AV+T3k/W18/i\nASPDDkh4xT63YPm5fLp5JsfsWenKoxq3tXSuedXk0hZdS6zI5blY1XY8QL4Wc1ksR9tY0Tp3y26H\n+itrY/A3fdYtetLyWPOwxkvqJT35bPfJGv55anffXJE69y6pxRjSjMILrOw2Eb2ZiG43fq6T7cKk\nUVdqIvpcAK8F8L0hhAfnj38GwBcAeDqAewH8ROH664noFiK65YEHHqj3zKHUDV0JJQkeLQfc8ro+\n8o1o9nUtb4fTB9x0xUhtsXsUNyxhRYvNLAmW63iJxr1VporsYy3GsKbstpWeOZAqF0GiXMSQ8xpV\nX5P7NUNJWN0nj6zsH/mdhpK4bemAW83jO78dlyJxrlwWlKR0Xu1bYQ71QEm679M1ou1gHyT1DoO2\nl8QQHnHB6/e8J+nJyMJ8HtXutW86qjUIITzH+46I7iOiy0MI9xLR5QDud9qdwbQp/JsQwq8I3veJ\nNj8L4NcKctwA4AYAOHv27GrtJPGBtVDSUJ6Euq0+4DYILL8EJdV5pwNlVAubh+VrkouEBRklB9+U\n95NOrhTnzcpojPYmo+VoyUqSAe0cSkoXliX2oQOOysq3dD4M9sKsKZ6ituGxvcQYHBxebsLeuNY6\nZzH1eDnfsJFlabRDrvMaDYU5VNN5Ov80L6MwoAUlKYOi5sEzJV6/mF9nNnZbT48birXSSucdFvmc\nOXNctCuUdCOAF89/vxjA63UDmp7SvwLw3hDCT6rvLhf/fiuA23eUp0pJqtseYgwtWUnSYp5kqFso\nepF3eWuc0rCCakZGMAY7XxNCCn3x/cwS1SSxYWTXcJ906mvs8/S7lAKs+xRU3CCXI2aPhKAWDYXb\nWjpPsPwTLrvNl1gpnRKHnzbhOCZLVvaoF6PMY2jbyFK9UNe18r7WHKrpXOpF993iZcFDY8g9MKB9\nrsj7+lCS/9ylJ8PPpEXnJ7Qv7Lwx/BiAbyCi9wN4zvw/iOjziYgzjL4awIsAfJ2RlvpPiehdRHQb\ngGcD+L4d5akS6/6h7bi6JEYs4lWv0EqUWsyTDCTSQu0nva1kKbAcIciCd07Z7dbgM+VptJPHkFuc\nVqkHInEaV0BG8TWc/PpQW662+lC2fJKIkMixEe8jtqxE2afMehV9Ko0Xt+y2SAXuJZb1IdMShtI1\nRNv8Zlrnsex2bCNPU9emhr6/1nmNhmQO9elc6mXa+LH8r9sP5EBJQRdUnD+veteRb21+lV79SxTH\nRmscaqD6XN4XVaGkEoUQ/hjA1xuffxjA8+e/fweA2eUQwot2uf8aSjHVdTysxaXU9qHz02hK8MkG\nj6G2mMismqMNzXh7/L7XPR4MuTguYKWJTtfk8vC9NS8uCU1k14qK+vFlXfpUigtoOQwvSv4tS2Jo\nnVsxG4vcTKtdYgyO3Pp/6Z3x/5q0zs2spMa+xra59az5uNcn49Ti7cuh9VJqP0FJ+f2zDL5GDF+O\n0dr8KlVMlR5DC4TKMl4oUNIFR9bC0M/D5ufdT9fikYuV95xLg0rfW/K3+lctJSxSKrUVzVistji9\nEtXybyvgyW2soKAVt/D6LOXT7bUcGnPWf1vyebxcuRa9pZ/L9N1eGgqLre6HFVvKZKzAF73jWv7d\nO69K7Wu8ZP+Iyvfufedzc9lt8mNl8h4ulER2tmKJNkP53MQ+6dRtDNbCsBOPysOc8O3pb7lI1IJJ\nLTGGmGIXr7Gsp9pYihCOtHxTOdjirJXdXv4ecgxWyjdQfmo09GwMSj5J2npOZcx5hUZeTVlJHjy2\neqzZ9y4uzM69BmMx8qztqiesYK2ax2LJIuX3vitlWE1y5LIkcg72ONNZQHpceWSXtbEv4vicRVMK\n9dyusQLvhi6cGMMFR3vfGKruX47LN5XECC11mFIeOgXPw/I1yXLTGU8RsJUWi7xGy8N/a17ZxpBB\nSVjuU+1ziDrNren4d8mitOTLMWr771wue6Pfpey2lLe2eHpekb5GQ0laV7FtWS5uSpSOG83HIx2b\nSr+z/2bSno2Ok6Ry5p6plRDQO1ekzr1rrPjXIielmXX8WYmILpwDbhcc7QdKSi2WWtusVlJDVlKt\nDK+Uw8vp97B8TdKqzTKJxlieWAbyvLLby98k0vkM+Sa95H3m+3iUQV0hP9CVyVGDkqR8FcvcI+95\nWqUneihupPbnE+80jlKEkjhGZMQYeubG8hyF0bB817AxlNpXoSRjU+RmGS/TAMljWRs1rjyyTvaX\nziK1wHqtcagDlHSMlB6D34PH0AQl6eyD/I1omrhEdYscMjfdghy6Du3wAmfg7tLiNMtuO4uVzEoa\nFl659dOyiJryFfB3mbXC99W8dFnwhNfQ9qzjhpp+3hpYrPHNUnLVomYtcjkvZGPRKhFi3U/TMibE\n2LD4eGQ9B+vepbLb8m8tj+Ttb9a5zK1ZSVLnpaykEqyXVbpt2RgOHsPx0L6zklqsej0ZNyQXYPu6\nYFjCnhxLbnrI661YWL6mxbUenBf1iMmXx0tyeYC0j3zN9GrN2NYtONfiMUj5jMVAtq9ZxVK+zPtw\nMHhNXiBylyJ68rqSVT00ZCXxNdZYXPg09lW2tTyGFthMWvm9OreeoZZHyuIlBFheVmvZbanzNXFC\naf23xqHkZnLcdKo3hvUxBpufd78cSqrHGGr1aqQcXoyB79+eaeEsvALOsMp7aHmAaeJQQT6pl6XP\nzLNkmRc2LtlnKYfn4Wlc2dJ567P2nqcs07yG4uKZXq9jCiXMXrbTZbfd59e4MSzyKZ23kBwL6edl\nOazn6UNufgqxtRa0l6j3310e79P6LOoQqr7muOnUbQw97rJHrfACf29mJVUHVT3GYC6SlitdKyUs\n4I7svIKKC5RKVOv0Sl1xVL4PwaqT32I5mfLphcXxXDTvDOqq8CpXfbWfZ0vNqxK5HoOCblriA1Ln\nNY+vG0rqjDHIa3p1bsX4ilBStlnn92kta52U3a7AT6UqtUm2oiGPRS1zeV906jaGNQNYUzopa21l\n1sssA0kYwx9U1YFC6cAcg+VK160gaalnL69J4gJGQUBv0TUmzhjiwrsxPQaWueQxzG1lVpJeWPoi\nJQAAIABJREFUDBLPRccY8gVUlwVPedUXXNnOKru9dpxJefWtNXTTMq43xvNzoaTKuObnEDcu+V1b\nf/nevTq3nid/ZsUrvPLuqczT7+a5QjnsarV1n4Uoxy9L5ZRoGOry7YtO3caQWrjrePSlq1JiMbMM\ntQJ3XKK6RY7EIteutDExNPHX0mOQgbElKynxfiy3PV2cco8GyvtIr28JPuugPZcFb5GD+8CUld02\ndN58jsGxOK2y4D1kWeRAWj5hM6RZSd79JiNh+tsrux3/ro9rwF7cWyHaCEPZvD1e1vPUsQZ5D3+c\n5fepwa7LXBnqh1RLKeeJkWU8C++aw8ZwTNQz+F0eRtkJv62RO94CJbXEGHjhHW0LHrAtc+te07Xx\n+m2y2cRFIGYY2W9OY5KZVzL1lbtEZARqG9L2suqvFTkkpDXxFrzUxmXGGBoXPM/ibDnBXiIruCs/\nn+RKx3X5UFXB4+tY3Pn+vPD1BK6lPNa9ajq34EDXszLGvxUf84ogaooeQ7xXGUoqPIugnkWDzg8x\nhmMibyL0UFe+N9llCKrWRsOCItPlPHy+xWNIi+ilC6+sKS/T5cxSFI4Va72G00q9a32dqZTPCrhr\nr9BbaLR8ls5by0R4efBWWfAeaspK0lCSI2fy/ELermduxDGBTL5WT9w7vFfTuRUL0Z6D/N56Jh6f\nmscgPa2a11+EkkSMobUkRstc3heduo2hNf2wmUfDw8wKz5HAygtZSa3nGPhdA3w/LWvNyigd85cL\nm7Ty63WF8j7KiVKy5FrKbpdKZesFzj3gpqx870U91t+eXFnO/FiPFZVIeliSdB9byllInZvvseiA\nSOVztORpoRZvyNK5/GiJLRieC3+eGSDO2ZKWcwJ9r+f1N8lpXUgh5hade4fp9k2nbmNoSeurESU8\naveTZbFzy9zPga7LJ/H20QncWhhrdq9ELv4syiEDjTJeoO9FSrd5PCC2Icrr2EuPyqNFPo51mHEB\n+Te5Fqh+BpbOW5+1V0bdisX0kGdV6z62wJtS5xLWs66ryRw3LF6Q6/fPeVDyW38u7yPJPsdg39uy\nsvnfvP8NcyXE+0TDwmtberXn3GYM5mtyLSKqQ137otO3MSSLxDoevQfcrKPvnoXJJEtR1OTYhiDc\n0bSN5UprStxjhbVKyGiyvmb5jKCvd8AtLYkR23rnGFoOuEnLN7MSNcziWMIaV7Z03gUbOvDYPmIM\nJbispez2Il/B4+ux+vWG1XvATcrZq3PLs3GhJMPK9kpQtJz5kfNMj0WrrQvribHXUxLjUHb7mKhn\nors8eqAksrMPYmDWvq4laCkHppfZ0OYex7YLVGMEd+UmY0JJSi/WIi6zR9bUFdLyWXEBnZLqPXON\nK+9SdhtIceOlT0YMpIdK2PnyN1HTwix1bqU295SL0RuClQZcIxdKqujc2sDkGE155caXh+lbxoom\n6V1XU84Lz15m7HkwsKaWubwv2mljIKLHEtGbiOj98+/HOO0+OL+p7Z1EdEvv9fuknlRTl0dHVtJm\noKSsM1+jFzhNJTdU8gYm19jL6LEWK+te07USw8cin8z4aMX2ZR+5/yGk5TX08f6WtD0dtLfk0J5L\nCSKZ4LHIK4fi2sfLYNT+bymfXuTpQCTZmZGGhVnq3Dqz0ZNZVDo/sHNWUkXn1vOMMY+07TT+NZTk\nGFFdcyWvBZa3LT+L6VrxmtwGnZ+Qw7Czx/BSAG8JIVwD4C3z/x49O4Tw9BDC2ZXX74X2sjH0LBYk\ng6/TZ5M1jfmz9RuD5OEFsIjaMy2SsttGLEF7P7VyybqP9ZIY0+/SQkpKPlkW3JKDCiUxuG36Brdy\nn0rk9Wknj0FBJcvnahNuLbudPgv7XiUe8Xsln9J5C8mxYPHWfzNZp+1JybPIQunrbwH/ICWRb/3H\na+M827XsNl/bWpp9aJjL+6JdN4brALxy/vuVAL7lhK/vpr1ASQmPcttBxhgsfLIwqFpTBmWMoaUk\ngCZ5ClYHZHVcQB6mK6VQJlBSEmOIC91WidXiMVivqNRWYmtJDL7XPqEkCx5be5BS3jPro1ocLYhM\nk9R59ZWojQUcLQin1WPwAut1KEm0JV8O+bmcA1bZbW7bmsEnde5lCpWDz1GuWHmgeOsm+fZFu24M\nl4UQ7p3//giAy5x2AcCbiejtRHT9iutBRNcT0S1EdMsDDzywWuDUGtmDx9CCO4+clRMt8wizeIGr\nNt5AmtlgLXw7ld0WkENqcdrBu+XvIYfLpPexMayfrrr0xmazfJ/FOtJrM15LXy2Pov1ZDwI2ZGqp\neVUif/EUf1Nb2W2p82B6R+2Lu7b2e+Jukcf8u1PnVjzFkkO2lXNgl3hcT9ntknEn539PddWTijEc\n1RoQ0ZsBPMH46ofkPyGEQESe1M8KIdxDRJcCeBMRvS+E8NaO6xFCuAHADQBw9uzZ1dpZLM5Qt/Y9\n6s1KskpixAXYvk6WqK7JMYayFVQr1Zuk4C0YflxAZK46tzVLVDuWehoPiG3d9zFU+j2QTJttyEoS\n/+vHJXFlS+e9zzo7m2Fg+T3kpXSmi6da1BvKbu/sHakNa11Wku0N1XRubRzeBhpTpuNnXin0gVrm\nSrTu9Vyx2nrPXhpgraXZNwPh3AlV0atuDCGE53jfEdF9RHR5COFeIrocwP0Oj3vm3/cT0esAXAvg\nrQCart838cKy3mNIeZWI5oUnqLS0QR1602Sd6M15x7bM21pA2t3jONHS+kvCyhewWBkbpjweIHiR\nIRfn1rec30je4GbgylKm0oEpiSvbZcvT+5blMg647TDOJnn5d2FjoDTA7ulP6rzllagl0rGFnteC\n5jz6dG55NnFc6bbTbwtKsjym5rliwK55W3/MyPiEN3c1tci3L9oVSroRwIvnv18M4PW6ARE9kogu\n5r8BfCOA21uvPw7yCpP1Xt/CQ2bRmGW3vRzosb266lhwRy0s37oXXyvLRExubmqVWaeYl3spK1Zn\nbUgLysoWaS0fMckRZa9BSSVLWPepGOStxZPIKL9wbFCS7Z3x/yYv7WkZZ14s/hZlpShWQUn2POwq\nuz2k13h6MqEkcyyUZba9/gKU5Kgizg3fg9HUMpf3RbtuDD8G4BuI6P0AnjP/DyL6fCK6aW5zGYDf\nIaJbAfwnAL8eQnhD6frjJn2cf+3109+VtqIsRIRsJAzku6Et0IXmnS+S9UyGZMNK6i8xj9zK9979\nIP/O4hVikbRgF6uEtkWDsPLlxhXvjVneSWapRnMxkCm4GpbqwN0teKy1Tx61LZ6px1DCta0S6Mv3\nPX1VnozWeQtFKKlPDsuzqXlWcg5Yr6UFpk2oq0R9BUoqGXesr1FkJbXo/KSykqpQUolCCH8M4OuN\nzz8M4Pnz3x8A8LSe64+bvAyG3uv13xYlB1mM7B8/XXUdb2vhq76VSngbPDiToJgolBaL69neyXJf\nge1bi7iMVzBZJbQtkn2SZcG1HJYBYMEHQci3C+4+ufrpZ0HEVdaQlQ4KlL2iUlYS69xatNZkJZU8\nhxrVrHzrOyBu9kE8r1pWkhxr3kFKy4vVtCR5DHkMLW9bfuczoA6ntnikJxR8PnUnnwGZ87zb9dPf\n9cUCSOGeyTKveAxjvY6/yVtdY2H5mmQetZVGt1hlQ5p6m+O58QNddjueGMXy2yxR3bCw5Pn4tpU4\nUL7wmFlbIvVV317XfyrKZVicLeXTS+RZ1SkOn/9vypd4WlZsRrYty6xrJHnxghLF+ITNW/8tSW/6\nVs0m+b+cA16Z6xYMPymEafDWbWvpquncqBuCF0qM4YIkb7I1X9+Bp0bMPvUYJJZvUUuNHcnDrRjZ\nYGXE2vzR4rKyJeTANEtUaytWyqdiIBtjEsrU2BLpWvZWRVnuD7eP16a8kniFldtPsV2NzD41JBGU\nyIuH6QNuLecIpHzmOZQV41rPpZ4zG25JjAade55KlmlkGGBeSYzuEvUV464EI0qYtbXsdstc3hed\nzo3BwW2br2+YhEyxHo9KC628SrDFeh6S+EUpoNZmBaXuccg2G2lx2i/IEfdVfdRQl2X9tLyDgnkn\n9ZccSEtnrHAftcwth/aaPBljYdm1JIaHnZdKYhQPuMkzJSUoqSGeItvtBCWt0Lkck5Y8ul1LVpK1\nsWuyym6Xqhe473wWMJQnj6aNAb8eF53KjcGr0dJKvWW3AeUyyowdZ2MIYT9lt4l8DJTJijFMWVQz\nTzFRZbyglltvHsATvHTXS+l96X3k2YjcSl3gDWOBseCDeGbDLwHdMlQsDLjlFa01noDRx+yAW31R\nHygtu23BjrJtibipPouwDkrq13m2IThz2goQ8595/1vmynxfqscYmspuh76y2xdKSYwLkuKgWs/D\nSyP02qWlsevBZ1mKoo933qYVSpIZPNvRiAsI2KVWojqJVwj5Iq88578Vj5dVXs03yWXWrLi2YCVa\nOm99zpoX064xhpZCc0T6HdCOfCpGtI8Dbtpj6PHCo269z31eWi96o9DtZNkK74T9ZsjTjTXFumJR\n58WU80qMJIGYG3R+QVRXvVDJghjW8mjJVAGmwWPhk6XAVSvvUhG9FvfYKokxGtjnhsp1hTRkMwx2\n3/m39c7nls26tsDpoHNpwZPwT+kNbq1Qko4ZtcJjHrk4/LIwpiVWps88KzV9fh7sUuKh25YC/TXy\nrmnRuX623py2ylbI949oni1vcNM6L75TpQDrAWmMoUXnh+DzMZKXJtfHY/7diMVuQ0jK/fLn3jhs\nqeMv4wEh2FZHSyYDH5pJguJGtoS08ltekMOfSV5yQluvXGw64EblrKTMmpUbVmHjtHTeYwlvhrz2\n1c4v6vFweL35qU3Z48U6l6meTOlLrCpGibL2PYy/RN41LTrXMQYtz8LL8My9EvWtWUla52uMu5gW\n7sujyarFdVx0OjeGPXgMrTwiligO1gx5eWtNPWW3R5GVZJUXqA2mpbjfINxjGWOQVv6ysLSVqOZ4\ngC5cZuLxDXEVIH1FZTDiEvLe8p58reYV4xV+n1rW9oGs6qrrXyHL8k2/SX1O5m+Ww5MvLf+Rf1/j\nEb9P2/XoSd9jjc5JXWs9a/m/3LD1uJb3rc0VWW6eDN5pWz9OYh0kbdH5wWM4RvIOw3TxWCy2crsE\nSkpyoCvWRgMEYWP4/e6xzD6SZa113EJisC1QEn+W9D35PJWjNYNHZlpZcYEeKKnWp54Yg2Vxtryi\ntURVHN6AY8pQ0vR31ePrPeC2TyipQefaU/HmtAX3lOJxLVlJWuduVlLBA05g4GVuFG99iDEcNy2B\nql08hkbXWQ4eC59cU4BL8x7HmJVkLdbt77GNA96CkjYksX1/EgIpXLeV8okN1cr5b16AJaTl4u/p\n4qlllH0FbJ33eJdWoL+1Ty5Pd/FE8nkblIQENitu7FXr1d6Y+qCk/L7y/xIv775eSYzmA25VIyrX\nuVe/qAglCRhYvg+lRC1zeV90KjcGzwpbx6Nx8Q4hgSpkWqhFpRzonLcsxJW3aT3mr2EefcCNhMXZ\nWqJ6SnHN5bPkmtz0oqjLtey+W2UH9LORX2v+A6Wv9tw1K8nygnaBLGtltyPGLuRoKLtteWdrspK8\n3y1U9YYKvLRevGusWJ5XtE6OK4+m5zn9zTq3rglzGmotK2kc+8puHw64HSMNzmTr45Hy8oiWDSAk\n1i1ftpey2wJKMstuN0JJsk9WJtFGHQYrxxhiP+UBNzmhzcNgDc9EQjaWHLo8grVhSZlLmTqtz3m6\nb/48dy67LepUpXLNfTQs9VLZ7ZiBVXklaqPHwM28khQl0nECLUfRY1BWu5ZH89pn2W2tc+uaWtzg\n/+9lty9I8tzONTxaS2NvxxRz1K+o1NTygpfE6nDcUQvL16TzqCf4RxYbk5+LRbQARQzCM0jKa0hY\nai2UNEzlh3VZcCZ9sr0WYyhVjJUZWTWS8YrePpV4yt/Z5wbU1FISw3wlagMcpdvq1NKucwzONS06\n196GCyUZMQavSkBrifosxmAYXnFOleXvKrstvNvjplO5Maxxe10e1TjA9Hs6a5AvUsXXAjbGGEqH\nZCwsXxNDONLqs8oBy6wWs2yzBSXNfbQ3H72INmL5xC54ei/ZZy03k7UIJa8J9WCpFrmM52ltXD3k\nZ+74HkMJ106D9vXn51Ee/G27zrrfGp1rr0LLs/ASxhOTV+a6tUS91rl1jbf5LPcSWUnNZbcb5vK+\n6FRuDGtOaWY8Gi3JZfDMmL189lbKJlPLgiKLeHmuawsuqRd5vkbHBVI8Pp+EXlZSkPIln6dyWK8L\ntciTT8sRZbBl5Day7LZXrK7tPRG5RWeVBe8hHUtgKmYlObJKnVsQV09WktbLLllJa3SuN8xaVpJ8\nLm7Z7Za5MuY6t9Zq7SF78qdVl4u3biryty86nRsDpb9X8Wg84KYHgE4rNK0Nhfm38pZyMVlYviZt\nqTOWaZbdFlBEhucKgSV+nBT5E7q3SmK0WJzkyCfl13IzWVCbVf5D82rxZCxocNfqqp53q8dwuvn5\n8smXEuWxGdm2bVxry70nbufNw6asJKUXL8bBLJKsJCe1u6lEvQw+G7yXdk4cg0l6G81ltxvm8r5o\np42BiB5LRG8iovfPvx9jtPkLRPRO8fMgEX3v/N2PENE94rvn7yJPK/WUOajyqMUBFNyjLXOr7LYu\nUV2ToVZ2uy2gFv9ny0RbPXIjK5aP0HCZIZ8NJbWV3eZifqXskul37E/sW8qLcWVP5z1jxeqTVRa8\nh1qtalnnyo0x1KAkOTYbx152Arun7LYHJTXoXOvFu8YqVlmaKy11xbTOrWuWopYFWI9l6ZnvFwqU\n9FIAbwkhXAPgLfP/CYUQ7gghPD2E8HQAfwnApwC8TjR5GX8fQrhJX38ctBcoycB2S+0Y7knr6NuD\nSpeo9nlD8LavsRYr6356UbDiFhtZEsPA4wcDZ+ay1lbZ7bVZSdwnb4KXFgsPV/Z0br3TwSPLomv1\ngjzysPtS0LlUdltWkm05h+JRBiV1xGI8HvHzugwelOYecLOyktbMFWUQeYt1XOxtPtHbFwhBg87H\n4J+03iftujFcB+CV89+vBPAtlfZfD+APQwgf2vG+O9GJegxqAMjmHqbJHzXzNrJ+mCwsX5POxtkM\nfPZg5iE2weLCYsRd2Apb+iR0n+HxjcHnwZEvlyPfvL0YjKfz1hPukpek/QWf83tJ+YD64ix1vjVi\nHz01xDKPobIpFXms0HkOpdl9l4YZk/esW2oRjSHXeTHGUPEY2GBsysajVP7jpF03hstCCPfOf38E\nwGWV9i8A8Cr12d8lotuI6BUWFMVERNcT0S1EdMsDDzywg8jSItmBhzNh83bTb3YZN2qRKlkbrTEG\nmdlg5YS3VYyM1xGlm80y+QZRUmH0a+2Y8QoVAxnIOPncGHxmT8uPCyh5FEwmibR8zmLZFmNwoKT1\n+4JrVbM4aVwgymHLhwRK8k8cN8glxkTLvYs8Vug8D36nn8d75BuD+6wb54rWuQ0l2fEveR0Q14UW\nnW/EfD9uqk5DInozEd1u/Fwn24XJv3ElJqKLAHwzgNeIj38GwBcAeDqAewH8hHd9COGGEMLZEMLZ\nSy65pCZ2kXoCii6PXihpDjKleLftMdQCVx7v6bO0zSr3eFAppsIaK5a7dqzYBEpSlqUM1va+wa30\nikYtt9WOv7PkW3h1jBXLety5uqqHnRvWveWxafkAeywm1zf2VbbdCUpaofM8tmFfI+NwTLuWqO+C\nkgqwHhANnB6dn0Sc4ajWIITwHO87IrqPiC4PIdxLRJcDuL/A6nkA3hFCuE/wXv4mop8F8GttYu9G\n+znHkPKq3WtrZCVtyD581lqGl9swb+ualhQ3nZXEg11jn8OQZiV56Y6DMXG0fNL6GSD+bpwgaSaR\nJ0f6v7VobRQvP5DdsmHl1uOuWUmex1A6o+HCFyTHogW7oHh9wmu5V/r/Xt753KBzd2Ny3nTXVHZ7\naKsrpnVeykoqwXpAjL/16PxCgJJuBPDi+e8XA3h9oe0L8f+1d/XBehVn/fc7Nwkh4TMJJOTekA9I\nwTTlM3wVCxGaFmgllEoHxlYcdZqxdsTajgPiOPqP7ahT9Y9qpx/WjNZip6LN1NaWUmsdp60NpUBo\niIkUSEIiCAIxQJJ738c/ztnz7u7Z55w9731v3vfOu7+ZO+e+5+zZ/Z09u/vsPs+zz/HUSIUwMXgX\ngB3T5BOFvqwYIvMw77sjReA5ewDOwhvcNHc6Lf+O2Mtjf/alx2MyEHFjBBldq7nP3w8g4sZ9ssuy\n05u8bAObr4u2B9KOxD+zza+JR92nIlnmpdeffaznVR0kJPKZ9Dy7edsIuuI2rGLtOg+p7dq65gJV\nAdVKlaSuGNxjXfkaj246M5i67UwrN66vuHUejpWUH7XqKNXAnXbtHhgSVVIDPgZgE8ndAN5a/AbJ\n5SRLDyOSCwFsAnC/d/8fknyM5KMAfgbAh6bJJwr9FAxtwm77+majy/fhh6huyr/OFzp2eezaBRDU\nu3eX5eFZTkhHnRXP6Mdy6tZLN220KsmouspViHs99H7HMgbz9vNSwzPEqpICLrjTCtaotLOQEGji\natd5cMXXysbgCt3QpCA2j17qvKpCcu/104W/4FbNMyauWMWGVqMO1lVJ+dHY8trU+VCokuogIi8g\n9zTyzz8L4Cbr92EAiwPp3jed8ntFrBqoPo+4AaOyjyGgy/fhh6huyr8uJIatV9YETWV5zHDYbTvu\nTGiWE6qTUtXlhQUPfnIxVtfaJAxDPMiwKqlUm3V/h/KKtn0E3FVnwi065AXUnayEy3PCMNTZiFqp\nkvwBOv5ZVVfcGFWSv1JR7gkNpnb4ez9tsyqpWue1e5HUd9HtS21VSccj9PZI7nzuZTNOJY+GTmhg\new756peQy6ZJG8vPDEal2kczvtXMhPyZ+ljmRlf1O6r5YlxlFhuoE98ryQ965u9IbfPNZ1UYhnhk\n4RWYmeXXfbwlVEYIIeNz3cdaYqCV390zYqctrinF2XWuGTy1lVUTryahFMyjYTVUl1dFMCmrD9st\n1EBzCIhZMfjBB8cyJVZSgwOJY2OIdFAIPctMYSQFgxbjvl0e+bHZxpBfD+nlNVVSk6ubz8PWkTOw\nsxeob0z57N/l7Gya89QF/rclbC52enOPw8+b6bm63xYrhgA/+7rN15wL9T2jV9bq3NwT8y6ywPuc\nbthtTUUSUrdkpBMMsZqX3RbDbTc0kw7Bt9u0cXWt5tG+zrUVg19+2WZtlaVIMO+YFYP/Pk1brKZz\nefoow/F38u+1t6nz2WBjmJXoywa3zG2QTemmylm2OzMPx3Kv92jw86/dBRzQ5fvw1R0mTERVMHir\nH+/ZTShx/6PyjtePN7P0d6TG21X0CJaqKqlmlli3QTA/30irMuPUwoK3gaaHD7W/TFGX+fd01Zrh\n8qLandeHelMlhfthTJ37Nr5M6dNZYDDVVnGZsoK34bfRZhtDOJ/Ku2hR501h9PuB0RQMLdQDjXk0\n2hjyY67XDegnezBc+TxcQ6w/gHTL1+B3lG6YiG4Z9rFT05jHMndgMc/oP5Ntryh5BFwow8/cDWOe\n8w0/s+8dFZ4hh9Vm9vOEzofgeyVp6r02aB483YlGnRCy61yzfcSrkjx+PdjttLqNUyXlx4qA0FRJ\nzgQknHdsiHq/zmvDbjeokqZE5xPil9+TVgwzgn56JcWG3c4/9efrJ8OubuUyNHIwMp8RtMvzy69X\nJQVsDM7eiO55w0+bCWd0ByfzjP7SeqysF52HBo2fzQFAhYe2YnDCliv2ipi2kj+r+zwhfm2g2cNC\ng6cvlCt5WXUe+iSqSRO3+5zhYwvB0F+vpLAAtdusgeYFFLPnpyPVOg/JkqaQGPZnQWPDzdsejjON\nERUMxXFaITHMsb4j2Aa/oKtb7WwjhoerSqrqWJsb01TH1eeaMBG+XcAcJ4u1bFhnz+Az+mHBzb2+\nKilGVptQ4k1ht31bh7ZiCIUFL6+3UJFkDAdrm54ty617u6z8vJ22vs3Yda55gFGpp2pepl78320E\ng3ssz0fUuW+r0iZqJgv/C27apKZ5M6hU6rxu1a89gzMutLCtGf4zjZEUDLFqoH7k4esSQ7p8H027\nJv38nbDWylK6bonsewP5YSJ8ffKxKZ1fRZVUPKOfV2h7f6wHT2U3tTJLtFdnmTITNnrlulDMdp51\nyDwbQ9OsMQaaPSzknjnGSFVSR7d9NK067HTBY4tH1fpQTJ377UizcdiBJg1UNagyUbMRjl5QM7lT\nnqHirtqizo/HPoaRFAxamIFWeUQunZ2YKL5+ksoGt059o3Lz7+ZNBmaWAV1+qDxfb6qF3QaAY5Md\nlV9GT4VDLyCfNxjEuBH60PiVHALvVxvwuvaKcJ23CbvtDxJtBLyaZ8MnK/33FjOYTtbwarJTGFSC\n2PXQp1RVUg9ht7V9DKHBVF0xZM1hrbW+Uk0Hh1+lLEtgaXxC/Az/mcZICoZ+eiU1DWTdAVDTT1Zf\nsjkVO3sOCR2//Lq25DfMbgfp/ga6jdmokjSdvbP68O0B3mzQ1f22sas0h932jeD6YFANC17Nq5FW\n5X22sRVpmAmvpMkp8/7C5fXkldRDn2pcMdRk5auOmlZWznvphHnG9ZVqndfZGDR1tWOvU/ho/I7D\ngmE0BUOsfaA+DzNYxpVlZqWufrIh7HakQcp46Gh+6aZ8DVXf7O7GGzsPk8aokmJsDLT42XkwwCs2\nRHVGOC6mVbuKWxaQ16XqlWQ/6zTiB5HujDP2E6110NoZy2e00mb19gxzybw/zZc/pltUbQvu7xiU\n9/RQ51r5mr3JX5mG2273uga/jZoVeyhd3TM444LE2dZi+nK/MJqCoZxt9SGPhjdaUSX5+skeDFd+\n/uWGs9AMMEIvWVkeM7w3wnA/NmWMz+EZuL9/wPl2QsXDyVMlRdtVmr/g5kd5rdMrq2G3W6hI/Bld\nU1iEGLTRw+d7NZrzOjbVtOKLa3d1xxioQfQi8opWJdG0/+45LTxMVF8J9OFewm7bnwWDUPd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(wavetable)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's synthesize a sound and look at it." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sample1 = karplus_strong(wavetable, 2 * fs)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample1, rate=fs)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 1000)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Pj+puYPNGQo9tVoXXbjJw8RZFXBRYsUNzq9sEWgcptqdSEH92D6tRz0ufBIR7OITzxPvx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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(211)\n", "plt.plot(sample1)\n", "plt.subplot(212)\n", "plt.plot(sample1)\n", "plt.xlim(0, 1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's do this for a higher frequency:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wavetable_size = fs // 110 \n", "\n", "wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sample2 = karplus_strong(wavetable, 2 * fs)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample2, rate=fs)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sample2 = karplus_strong(wavetable, 2 * fs)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 1000)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3xTncneDEUIZcPMJaucrxwQzdyQgBgWQ0RF86ilLc0IFdjTP2idLY6RZoNNvPicEMh3sS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\nU751n92O0i1BPb6w1qaONU8CfSATY6xN+RMLhXr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(211)\n", "plt.plot(sample2)\n", "plt.subplot(212)\n", "plt.plot(sample2)\n", "plt.xlim(0, 1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, this gives very nice physical sounds, as explained in the paper. Also, as can be seen from the waveforms, the initial randomness dies out very quickly, so that we don't really hear it in the synthesized sound.\n", "\n", "Let's make some more sounds with this. We will play an A chromatic scale starting at 55 Hz." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import display" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "freqs = np.logspace(0, 1, num=13, base=2) * 55" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], 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"output_type": "display_data" } ], "source": [ "for freq in freqs:\n", " wavetable_size = fs // int(freq)\n", " wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)\n", " sample = karplus_strong(wavetable, 1 * fs)\n", " display(Audio(sample, rate=fs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, the sounds are pretty cool!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the waveforms as well as the spectrograms of these sounds to better understand what is happening." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true }, "outputs": [], "source": [ "waveforms = []\n", "for ind, freq in enumerate(freqs):\n", " wavetable_size = fs // int(freq)\n", " wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)\n", " sample = karplus_strong(wavetable, 2 * fs)\n", " waveforms.append(sample)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Mxn68uRZeN8GlI4r4sZik4p/LK3Dj2f2QaWp35b5mxCQVFw0r5McUVcO/1x7E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Mjh/frNr6ZmYi94bvw73qQw7Q7N/8JkyVlTqwmXP99fBu3IjM84nJiiBJKFx8O1wvvcxBkmXq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2u1h8142OsDsFRp4ilBWKs98MqDKvv0Qtjq/fCeTl9+zhOKYZsYYBYf1/xS2CcH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\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TwHayBAO057E/ftw6ewnQG0+X5xsNG8BxaW0Wo71+ehrdAhwnrz+ZdZ9yi+X2o4kJwr7X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yxr\n71tM/x+4EFh/L7WXVABf9wGcA4AXE4BlXYCIscDdK4CtjwBdpwJdpwGnvwY6TQA8I4GUw0BAf0Dn\nDFTkAM7+wP+hxRE6rMP+DsYD5Kb2lGoXfESg29QChCJ0EUR2Mj8OnoKX7O8KmLFgaAgMZ2MAAKFC\n84SjlyeIMo0cYrm0ghHbtUtQonsSgHzJ9qaWJ1UoMDYAv83D3Un7sFOxGMfMva2MNC+DWP/IQBjN\nZswXy5tJy9Ij4xRQcBVevR7EmC5estXzeJb2xfGReHR4KIZ9cpT+5u4AVBcBVQWAd3dEeDnixCuj\nZMxqNz8mI+jur4e9RmllZAP0WqAyH3Cm4/noddj2xBDZNUpVgsZGecHfxQ6LRoZjy6UcRHo5wLHJ\nTKq3U+M1ru49AEyJ9sPWSzl4fmwnaFQE+E6mFMv0r5Lp1EpMacIsPjgoGKU1jZg7mGrMv393dyxY\ncwELhjZPsFIohGas9mMjwtDF1xnDIjygUyvx+aye+OLgTdlCPrw1Xfp80R1hmNrLz+pMrH24P/6I\nz8fMfoE2+ze1hwaHYM6gYCuY/23hYMTnVGBEGxckmdkvUHasPc8OR0lV64uoSDa+m48MjB95aSRU\nSgH2bVxxcFgnD+viKVG+zjj/xhjrKqhtsb7BbtbFavxc7DA2amwrPeTW3V9vdfL4xZ/aavxiTo8O\nD2v3YiZ/R/vbM8jtBokWM/0HECiWmFszl1VuMoj/Bk0YfFuyRq5w/b/K/lbmUN/qQiBuA2mdr20F\nfpsLNFQBB98klrq2DFg/HdgyD6gqBP7ZDTjyPk0oS/TAjT1AXTmwbhpQngHU3QL+eIXOsb4COPs9\n/bahHkg7Rsc0m4DKvH//GjqswzrMakFCy/VyWwLHAHBS+zxbgTr/CjwF+UIJvz3cC2/cGQWFqHHu\noUjHYtUmBAg2JGZmedKes7jwiKvWgkhR9vHkyHBM4hKDfKQl6q9uBpKInf5Z8xn+eV9P6z48S9vd\n3xkjO3tZK2aM6OQJlKUBP98J7H8N+GMxVs3vjxnc4gVRPs7oGaBHdIAezjo1Alzt8f7d3TGzbwC6\nupmB74YAPwwHLq4CQKwbLxfx1evwzOgILJ/dGwAQ5umI1fP7YcWMCNitHEpEQ9rxFu9xpLcT9jwz\nDN+Iq0+Gezpi52M98bvDB8AnIUBJSot9AdJWH315pHUho84eGlyNXIP3shfQmNuKuTlosGRqN2Ic\nTQZ0OfUSzoSuxp1d2wYwdWolxnX1hp0KQMw76JOyAhseHdTmFfcEQYC/sxY48y1wZRO6+emxeEIX\nmTzjtmaxQLi2jZwg0P28t29A21exTDtOkVPR/F3sZMmFt7X8KzSXcebDlSS8rVUXU5S2ibnYa2Qs\nsU0z1Lc4N0qJ+h3217UOgNxei/1Fzv5aRMbHbGLA2dTItpsa5dsl48Hy7dhkW8Z/rEYuq5gfAGrE\nia+xmsAvABTEE5gGgKQDNGgANKHEbyXwe2IZaaTP/wCc/wmI2wjsfxW4vhO4vJZAdPZ54Mw3wLIo\noDyT9nvXBaivBBJ2AiuG0P1IOQTsfZmOkXWW5CIAUHANSCYmC+UZQKGoa6wpIdAOENtuaLm4e4d1\nWIfJTSE56Bkn8JNmmexvPvYWqJQK6z49FWl4SrUb36q/AkC6ZCzR0/dXLdcJawwkHVP/uRQHta+i\nr3ATjwwLxXdz+lrD3P+UJBXlmbK+93D6Rhd7Db59oA/emtzVKm07948xSPvoTmIBr25hHfOb141V\nKARsXjgY2zlm96FBwfhsZk8oL69lY17aMZv3RxAEvDS+s0zzObqLN+40HKZcEABI3GOzr2TdOU0x\nAPQq2Qtt/gWgsQq4tu22fZtZ7HpoUg9AKE0iYqNdfX8B4n+j873ZXC5zW7u2HTj1JfDnp2IieXv6\nbgMO/APYsRAoTmpf3/itwLZHgAdPEMoAACAASURBVLWTielvb991U4FV44n8aY/Frgd+GEF9TW1f\n4Q4AkUdfRAK/TGs/CRS/FfjYH9j1dPv6AUDqUeCLLsDxT9vf9+Y+4LthwCXbVW46rO3WAZDRTg+u\nIB5I2E5ti4lJKcxGDggb2HYeCMtAcQvbW/oIzVzotbGatfnBop5jIWpFUKy2Y8BZqeH6CowpEpQM\npGsc2G82VAElyeLvlQLpf1K7Kg+4vktsFwAnvxTb+cDWh4GiBJpo198LXPiJfmf1BJKLmM3A90OB\nDaTjxlc9ifkBgGVdmfb6q57AikHUXj0R2LGI2lsfAU7RpI4/FgMJO6h99CMa7C0W+rsEuuM2Mq12\ncgyTueReZvf0Vja7743/3tLiHdZh/ykTble00lAPXFiFJep1ss32oLHnG9/9tOHzTiQ10Dihrv9T\ntE0aMyqoqsQ27btwtyfW8OALd+DQk9Gw3/8CfUe3MgGXIGDsEurTIPbNvwIsccFd9gmymqtqpYIl\neBXGA27hwKCnyHHmx7y6csBsgk6ttL1SZ+phwLsH0PVuoPDa7W5Tc0vaD3h1BcJGsRyPttqVTYBP\nNODbC0hvmX22aVc3A55RgHsEERbtsUs/0znbewA3dre9n8UCnPmaJHZKDXC9HX3NZuDkMsBO1KJL\nc0BbzGQEji8FFCqaJ9vT19hIEU8AqC0h0NpWa6wBDr9H7eJEIHFv+/rue5XON/3PFh0vm1ZTCux9\niebYuPVECrXV6iuAXU/RfHr0I6Asve19q4uBnU/Qt/THy/Qtt9XKM9q+79/EOgDyv2M39gBm0SM1\nGeRMsVWD3AJTbOTavFfLt9sEirm6ljyDLCUMKtQMOCvVLJSnUDKZh6JJmEg6rkLJmHBBwa7PYmbg\nurGaXVd9JdufB+t8+LCBO19zE70lf6+qC4FycWDIOkOstsVCTEvM2zThn/8R2DKfJs/jnwAbZtKg\nEvM2DTClqTRY7H4GKLxOoPzQEgLHP42iUGH2eeDL7jRgZ18gjz/rHOkwlwZT2DTnEvDtQAL9uZeB\ntVPpGeTFAdsX0rMsiKffNpuBohvEqgPUX5qEbmUTkw6QY1EsFs6vLWMDWUMVe77GBppYgA4JS4e1\nak+IC0Xwdt4s6oqLrgN7X2z2dy8nYnI1IYO4Tj8AShXsgmn1TivIdeKSqS6uBsxmeDppEZGzC7i8\njr6jrHME+JxElrZKfK/jtwKwkNPMf/eVecDy3sDG+4H8q4B3N8CrC2CsYxP25XUkYdj0gPzkzWaK\nUMW8Td9r8BDApzv1k76hkmT6/RNyRh0AMWyx62l8CR8N+PcBim+wyFV1MbB5jm2WNfsCgaa8y0C3\ne4CgQTQ2SN9rQzU56tU2JDPVRXSt2eeAnvfRsTNOMqLEZKRxqen4KFleLDkcfRdQ7knKYfm+JqPt\nfgCQeYr6jngZCB1BjkVbLWkfvUcTlwJ+fcixaKvF/0aJ6zPWAB6dW2XqZXZpDT3TB7ZQ3k17wPXp\nb2guWbAfcPIlh6at9udnJGOcuwvQudC70lY78h7NjQv2ASqdVfbTJjv4Fn03922gOfjCyrb1s1iA\nvS/QvD57E83LcRva1tdsBnY/2/Zz/JtYB0D+dyxpHw1WAOl7y8RC3mdXMKDIA2FeDmFqiU3m9qnl\nisI3cABZBoQrWtguThAKlZxBloCrQiVv87pDCfTzLLOpkbUbqtmAXF/B9m8JFMu2czpK/nz5+8SD\nQX7gN3Dsri0nobGahVkL4lk79zKbqLPOWpkwpP/JGPLEvUDGnwT+E/eQpKT+FnBzL3D5Z2IfUo8S\nqE4/DuRcoPDX1U3EWB1aApz8J70D+14h7726iKqU/PYQDVrbHyMm3WQkJvzbAXStv80lVh0goPDz\nZGr/cg/1BWjbHhHgrJ8BHPuE+m68n8CKxQJsWUBg3GwiByHjJB1r36vEYJiMwJEPKAxuMhLzX1NK\n7QuriD03GQnMmIz0X8ohVnYwR1zRzWRk4VWLhYVLLRb2LCyW9oczO+zfMidVc51kSp+3qPHHyzb7\n6HUq3HhvIpyEJnKmunJAK9a2baiisegWJ5/442U26fPbK7IIIDuLALlSLIvGj2v5XKmpy+vom0na\nR7/j35eYUYC+OQBIP0H/T9ovHw+S9lGE6tRXNDb49wW8u9PfisRV3y6uod+P/UV+fVlngd+fpe/E\n1AhETiQW2Gxk0afTy4EbvzcH18VJwKqxwNop9O/OkygB2lhH0TOAEqRj3mbMp/X+5ABf9SKttKAE\neswi5tpQS6AYAGLXAavG0fF5qy0DVgwGfhwJaJyA6FlAp3FAXRmbhy6uAZYGEWjmrbEW2HgfsO5u\nwNEb6DmbjluSRCVGARo7Vo4jMoE3k5FIhs0P0bPtfi8QOQHIvUSyOOkZ7Xqaclx4s1iIwf39OcCv\nN9BlMtDlTtIh89K/09/IyR7JTn0FHHgDCL2DrrXrVCD1CBv/K3LpvI02ZIrnfyIZSbfpQPBgoMcM\nICWGxjyA5qjMMzb1xTj3I43nveYAYSOBHjNpXpDmNUNdy5rzK5uI4R+wkJy2qKkkTZEcL5OBnYOt\nvpfXAkOeAaIm03t5ZRO7Poul5bUbzn5H7+vot+idDBlOv9WSo8Xbma/bHwH5G1gHQP6fFMlLDGvm\nKcaq/soV++fDdzybzCfs8WCyptj29pZAJs/OWgGykn3USg0Hljk2Walm0gKLmfVt5IBwQxUDPA2V\ncga56TGbtltiuVu6Jr7d0m/aulaAORJmE9tu4dpmE7vfFhO7DosJTG5jEauSgK5ZYmQMteyca8uA\nCrFObXURm1SrC6xJKKjMAzJPiu18YqoAChNK2xurqexfbSmdW+ZJBiAyTwE3/xDbJwmQGBtokD/2\nEQ3SSfuAPS/Q+SRsJ0etMpfYju0LCRyc+54mqPw4YkX2vwZknQYOvUNMR0oMsYsnl5FjsO0ROtbV\nTcT4JWynyWblaHISrm0Dvu1PbOHp5cAXnSkMeHo5sDSQmLfTX9NE3VAFnFlBLJ6xkRyMleNoUjrz\nLQF8gNqSVu/MCnI4ABr0T4lA4ez3jMU5/xNNBgDJaDLE+3l5HTlEABD3KwPyN/YQgw8ASQfZxJ52\njL2fmWfYJMZLcIoSmZPAa2wlMNDUMeCr1fCT0//vKAD/LYr2wNBIGztyVpoMu6yj9JzUXDWAEa8A\nbmKWe3Ei8NNodr+tfUWAUJEDeHVj23vMYgC5IpccKOn7AOi3JGerMg+wc2V/6/cw1YIHiK0EgFvc\nEsE8I5ZyiJx75wDANRSIHE8MNECgCwAKqJYyytLkbK6k2/XrTSxs0GDAT9RR58ey3wcIuPLOniTr\n8ukhnm8XIEBk23OoKoc1lJ+wU/4+xG8BDDVA4CBg/AeA3h8IGUbXkXqE9pHKgl5cLWeDr26mexI8\nDJj2NWDnQuyzoCD5mMVC352hhhwYPofj6mZyMEJHADPXkvQufBT9Le0o9T20BMg5T04DDxqT9tN3\nFTUZuP9XQKkCOo0HYBHZazONL7G/0PjDv/PJB4ETXxDQm/UL1fbvfCeNtymHaUzYPAc4+AZFA/lv\nJPUIORmRE4B7V9Fc3WUyEUoph2gsXD2RSIQdC+V9M07RPYgYC0wRJYDR99N4n7CdnufPdwFrJjZ3\nHrMvEMnR+S5g8j9pW68HyMlL2E7nvHoi8E1f4MiH8r75VyhqGXoHMOZt1re+gsbyhmrghzuAz8LI\nKeCtMIHufchwArkA0GcezRdJ++g3Vo0DPg6gsY234pu03kLnuwhcA0D/R+jbSY6h92jHE8Anoc2/\n45Jk4PD7QNQUdJjcOgDy/6Yd/YC1pZJtABuIAXlliCpOPySxngCBMMlkTC0nq+ABsi1QLCgZEDUb\naVAFCARK+zRWs99sqGKseEMVA5ANVfRbQBPQ2oZ2LQeE+WuSWCdAnszBT3AtAmSpbeFAsdF222Tg\nalc32S6ZoZZJUOrK6N4CBGiVYtmr2hK6twA5NdJ2CYRJ221dB9/m9+eviddFt+RISG2LmbUrc+ic\nAWKYpN8vvMbOpzCB236dnU/RdQYGi24wXWdxIoFrgBgkST5ScJVYaKl99EO6d0U3gAOvE0ApTaYE\nn5zz5Fwc+AcN/NVF1I79hSaQA68Te2MyEJiPeYsmv/2v0gQC0KS2eQ61dz5Bk52xQWS65tA7v3MR\nsP1Ruo7ND9J+xUnAxpmkD8y/Qkmnh98lELRmIjkJacdJgnP+JwrdrxhItcgzTgJfRRPDnrCDkney\nzhHYWhpI9zhuI/BpGB3z6m/Ae250fbEbgE+C6Xu6sJJAorGBfnf1RAIVZ1bg37Km+vnuMyi825qt\nv5e+dbdwtq3vPAKdADGtktzJkS3pawUk9ZUE1qYsB3rPAQL7kw5Z60xRmi86k7OnY3WIrUCyupAA\n7mNHgcePURlKrROgDyLH5MIqKnvpINbaleRSAL1bgQOBZ2OBZy4T0NYHAlo9vdfFSfSOOogl7z7v\nxOUgXAL8+9Ex52wj0KcPJH1tbiy9h8WJpGtuqKD3RLKsMwSOF50kACUIgEswnWPmGRrDC+OB8DE0\nvvz+PHfdFwGPSOCRA8BgKp8HnTMQMICA6q1s+n3/vgRueBY5/QQxuAv2kqwDoNVZ/fuSk5sXC5Sl\nkg67LI1YQcmSD9LznLON2FSAmHpHbwJMGSeob9goko1c3cz6Zp6i92j6SioZChDb7uhD0omk/dQ3\nYhyTw0mWdgxQ2QH3rgRcxBJt/n2pb+wvwJWNJJ/oNIHkHtd3sr5JB8S+qwBH8fkHDSKpxNnviC2v\nyKJ7l7CdJX4DJMNQ25OkQ3rvfLqTIxf7CzkShdfoWVxcxUgNgK5dbQdM/xFQiWO5X2/Si19cDRz7\nmMgGtzBiqCX2HqConMYJuO8XQC1+e6Ej6N069RUREUXX6f2JeVvO1p9YRtc7ax2bTyLG0Pdx/DNg\n++N0LJcg8ZvMYH3//Iyud+pyRvp1mUxa88PvEulxZSN95zsWsagBQPJElQ64y4YM6W9uHQC5vUl6\n/1PGg5v93IIAq7llYf/8nLUlhgxgTBhAQE0yHghLAEtQyplaqW2oZfs31rDJtbGGMVEN1ZSdDdDv\nSaGdhipY71tDFQOQLYFlnkHmZSNVnDPAf7C8M1DBXasslMvt0yLL3BJA5kCxdG7GRvZMakvZ/rWl\nDDDXlLJrrbkNKLa2efDbAijm25XcNZVy4Tspwx6Qs2n8b9Zx95V/t6T7bTGxfRpr2D4NVdz2KvZO\n1FeysHhNMTFcAL17EtNYlU+TO0AMsrWdRpo9gHTgkjPFlWiSXR/flmRKTa+VdxarOWeDj75I1Rcq\ncxm7m3+FvUMZJ9ikkriXJb/c3M/OLekAu9+ph9n2m38wRjNpPysHlnmS6ThTjxI4MNQSqJDY7sxT\npOutryDd6cmvCKDlXiZHIusM/faBf+B2ttXJAQ/4esNGQJjMUEvgULLQ4TTRt8UaqgiYPnWBQJ8+\nwPZKnlKCFsDlG1QQCOk7D5j2LW1Tqim8fJXTfPr14Y4nfndVBYCTN+l//Xqzv+sDKN9A0k0HczWJ\nJWetMo+YapWGnasgAL7RBHq+7U/3pO981jdPjM7cymQMuWSCQKxq3HrKRbCYgdFvkOOQeYo566Up\ncsZc6hs1hc55mbi4x7h3yWG4tpWF1ItuEOPc1CJGE/j5SlxY5N5VxAae+IK944XXKCGwqUVOpPdp\n7VQCWFO+IrB6/ic2duVfIZabj5gKAumYk/aTbMvOFbh/Iz2nYx8zFjnrDDkTElgE6H4PXEjkzqbZ\nBNpm/0rA7/Q3zHlKPwEEDgBUXDk1hRIY+hyB59+fA3x7Ul+PSHKMpb5px+i5q3XyvqP+Qd/R/leJ\nbZ2/l45/8p9sv5RDxMxrmtRIHvos3YvD7wKRk4DHj5OTcHwp/d1iAZIPEAOs5crfCQLptgviyYmO\nvp/66lyAY2JfYwONHz1myJ1BhZKiBflxBL6HPAPM3U3j6AlxjjfU0RjT8z5yevi+kz4hhytpPzDq\nDWDe7zSmShUuDPXkpHefDjhwJf+UauCuL+idu74TGP0m8PQFGtdPiax6Yw2NhdGzaLGzDpNZB0D+\nK5vE1AFyJuHQO6zNh4fiaLlZGGqBXHFJy7JUBgoqchlgaqhiA29jDdP3NlSz7Q1VDDjL2hx4agks\ny0Axx4zyQIdnyytbAMg8SOLD27z3zLOzvCbbmuzWKE9846t0SBN1XRkDjTXF7Pyri9k+1YWsb3UB\nk2dUFTJmuaqADeiVecxh4K+VB4FlHGiUdJOAnFngw9N8+St+u6SlBuT3j7830rOvr2TsfX0F215d\nzMDyrSzWLktj7fJ0tn9ZGpuAy1IZiC5Lo2ooAIEJK1jmzlEGlrk27wzw1yrpMwECK5JJSY8AJT5Z\nf+cma/POlwSizQZ2b+rK2fb6W2x7TQm3nbtPtWWMieSfU3k6uwcF8QycFiUyp6noOtPsF11nkqDC\n68BtqlBscXLAux7uiNdp0SAIMALNlxRprCbAOFsEpYEDAZUOb3i4YZ5vK5NfQyUBZM9Ikg1I1mOW\nfD/puQLEhJ//ie4ZDwgka6pBl6QTAEtQrS6Us9KSdWqyiELEWGLEAAK3FguNJU7NF9nA2CXEXksW\nORF4QXxOebGshrvEaPI27n0CWwCgcSSQNUOMjKQcJjBSkdMcXAMEXiQA69uTQPSAx2mcuLGb+pan\n2wbIAx4nraxbOND7IcAtFBjyND3T67vom72VySQkvA16koCuazCBIDsXCq9XFxKoqimh8dW3Z/O+\nw18CRiwmYDtlOQHKQU/QsTJP0vuZf5WY26Y29Dlg3HvElE9fSYBs0FOU6Jh2lL6TwmsEYpud8xPA\npM/omqf/RPPGwIX0zWefJ0lacSIQdkfzvr0fIkes38PAPT8QcB+wkObL/Kvk+Jal0jvT1HreT+c6\n7EXgnu/Z9Ur5KMWJNPZFjm/et8cMSpwb/yE5ITpnYOAiusflGTQWGWpIK93Uut0NzNkO3P0dMOYd\nAsH9FlAk6lYWEWCGWtION7WoycDDB4EHfgOGvUDfeL+HSZt8K5ukKI3VpHVuap0nAYtOAI8coufs\nGkLg/vI6ei+SDtBxpYgEABz9WEyqBenHE/fS9xbzDpPUxLxNyasmIyUV5l6iufXgWzQvGeqoXZpK\n71DM23Su9RXAoXdtJ6/+Be1vv5Lef9VqckUcYOIzjCXNXE0RhcQAAisSYMk+R/8B5D1LoC75AKAW\nJ8SE7UwrGLueMUlXf2PMctpx5v3zYSce+LUEhFtijWVgmQfIfJsrg8Oz6xLDaqyTA2EryC2UtzUi\nY1BdxABNdQGxMgBNyJIjUZnP2NbKXMa6V+YxfXllHg38JhNjHwGmiwTk5X9k7XjbbYkBa9aOtb2d\n7yuBT7OBQpPSdUsgsDwd8BYTpMpSGaNQmgarE1SawgBEaSr7fkpTmYNRkszud0kSez+KEsXfsdAk\nauscpdA7wDTbgBwU822p9GCz7SdYm1+Zkk8Qk5LADDXs3arMY85MaSprV+axiEdZGss3KL7JgFZR\nIns/im6wd6s0mTmdfO3YousEohuriSFqYnFaDeb5euPQzCN4b+sY63YjgGHBgQgyGvBzfhGGBQfg\n88JiTEg+RACq8yRabVO03U5tWAiioQpw7yTbtP76enjZaSGDCk3Hy32vEjto33y5Ygx5Rl4lQaUl\n1i5pH7GqwUPoW7MFkIc8R8D28i8EfCLGAX3mUq3mIx+QBtbUyLTOvAX0A164xqRB/n3ovJ18iTnr\nNI5Aq94GQNb7A0+dpwne2EBOg28vknycXSGy3BbbANnBg8CItJCSQkGA2SOSQvMB/ei98bIBkHV6\nYOYa+bagwSSpuPQzk79ISYi8aeyZzlayiHFUSeTSWhbxscU+qzQEqke/ybZ1mUwORuwGsXypicky\neJOY4KHPsW3dpxOze2WTSKhYyMloaoIADHyc/pMs+n4CTxdXM3102EjbfXvPof8k6z2HojEXVlIE\nASDgbsuiZ8r/3fMB0uDG/sLmtU4TmvcDCKzy1nsOSRRiN9A8o1DbdggAkkvwNuBxWk/g4hpyMtX2\npC+3ZUED5f8e9CTJs85+R1FOnQtJOWyZTw/5v4c+S1GSC6toLnL0ZhEak4Gx6f59KYIBAE+epW/n\n1Jckhzr1Ff03bw+Rd3EbCPyfXk6ge9Tr1M65QPfo1Fc0noaNJAa+toQcsr84/uoAyB3W3CwcN2Xg\nQtgyzavIpvFhfh6I8FoyPoP8NKeL41nxU9wAL9U5Buhjkuz8j6x94Sfb2/ljJXDnIGV1N1YzgFpT\nzNjL8gwGhIuuM/lE0Q02kZamMna4LJWBnrJ0ptsuTWbAuTCBgWUpKQmQA0KeJc1vCfDy7cu227nc\n70vRg2Ztbh/pfCxmltRmrGfnVlfOpA+VOSxEWpbOnIfydFbpoCSZsaolNxnbWnCVvUPZ52BlSXnm\nl39v+JJaLbUzWgDIGSdaaPPgmgPdPIiWJEymRuYsNlSwe1xTxBwYPnrBM97FN9l7I4FvaR+JxS5K\nYA5JzkXmWInXkaDV4LC9HcbU1mGN3hlmQUBciXzRDKMgoFEhIEWjwU0NHW+TsxMmFBTZTNRrk0kS\nC84+ufAJACAeAHo9SJOgpYnAw2Iip4BLtLtQcAGRrpHQh48ioF5bRomkAxcRoF0iss1StR++fJxk\nShWB/UlL5dt9e9F3ItVed/a3fT06PbGePPM56EnSs19cTf+2xSAD5LTw0hRBAO54Bdj9NFvQw635\n8s6y/ZUq1h70BF2/lHxni0Fu6Xf6zCX2TSqLZotBtmVKFdD7QZLpeYiOj68NgGzLNPZUqeLKJmI6\nBQXpfNtiKi3QdRoQv43aKjsCWm0xrSMB7Ku/0Xts50Ya8LaYnQux0de20ffpEgy4h7faDQBJfCIn\nUATWNZSOqW/hvWpqLoEEfGN/oesNGSaXZrTWN3ISOUCwEOPNy0la69v9Xpr7zAaqtiGNPa2ZZ2dy\nMP/8jPoOfIJFfvlFgs5yORHSNwPIS+VJ5FttKUtMvZXJ6nqXJJP+HZDPh7mxwNd9yDm5Y3Hbzvs/\nYB0Siw77v298ZQxek80zzjxjybOUPDjj95GAq6GWheurCxg4Kktjg0lhvKjVFui3LWaaVKTfFpRy\ndp8HwryMhmdMs1sAkBITrVDJAa8VLAstg2t+AYWiBKYNLrnJpAElSU3a4qBblkrXYTaw3zHWi/pk\nNQHIxipq38oi4KPUsvul1LLnodTIGXXeSeDZdf58m557s+sG53gI8t/n5RZFCeyaSm4ysF+SJG9L\n90ACy7JjWcg5UOkoo15ifxsqiBlR21O0QZITFcQz6U9eLAOZ1vdAkN2DAw72gJ0rqkVdraNaPuGm\nathEWCXtI+lFmyyn+/zR59EmqymWTey1fEnF13MYwzhiMbDoFJqZyCDXGmrx8IGHMX//fO5vbsCs\ntYztdQ6Qn6vIIB/LPoai2lZCrw/tACAwh7etQAagEL5CzVa8c70NyG1qXe6i/0v1zd2b15xu0bre\nTd/O6eX0/3b1FZMDTy8n0K8PuP3+TY8LCwEd1xB5tZDWrNcDxIieXUGstc659T6SRd9HTvHldcR8\n8trlVo/7II25iXuIbbSlg2/J+s4jYJ1+nABge9jJvgvoG8g5z551W63/Y/Stl2e0v++AR5m8r9vd\n7es79Fkm1+p53+33bWqDn2Z9eSael+TxxJOs/QNr8/WdL4sr9xnrWaJmbQmrW12ezoHleJpD7dq4\nVPh/yDoA8n8qSa/D/nVTSgkfAhv0NY6M6XX2Z8ySRyQL4fr2YvsHD2Pa2Ihx7Dd7zGLAsdt0dswW\n25x2iw+/8QMlryvjQ3eduOA1H5bj20FcclKYGHYUFKytULF9dHoWTnP2Z2Fg907sHvj1oSxrgEK4\n0nWH3gHrtxA2kjsm1w7lzsu3F3e+XFgwZChr84lVfIg2iGvz4T/+N/37sXYgF17k+waLxxIULPSs\nc2GMmXMAZcsDlLEvhZr9erN7EDiQAeOQ4bDeAz5cyYc9+WcTyukj+f357fw18efO6yObaBb3OTpg\n6z2fo96bkr3UCjkztMCXSRLqRRBgJ0mbjA0ory/HhQJyAg9ncRKHkOHoERqEb130qBYEfO7mggZ+\n+BPYdJBTzUmbtE4i81tB77JPd+4bFE1MLJL6pdxqoUYsADy8j6Rb0mTs5Ivsqmw8c+QZvHP6nZb7\nSccJG2l1OIyOPvgu7jvkVufethsAYvi8u5Fjq9QQy9hWs3cj5rehkr6l9kzs9m7s2/HuKk9Ya81c\nQ9g3EjCgfaDPuxv1B+TjSFssoD8bT21pam9nwUOZE9Te0mEB/ZmcJHrW7fe11de3J73HfR5qX9+I\nMfQN27kRa98e6zSe5CGBgwjgt8fCRpGuuM880aFph/n0ACZ8RLr5luQVLR73DmDmz1S2z6eJbKf7\nvUzb3/shJrMcwMlhBnPLZw/jFiAawbHBd7xmuz2SS0YO4Mb5v6B1AOQOs23SwArIw2uRE1mbH0ik\n2ouA/GMYu4S1x3Nl7sZ/aLs9jiusP+491pZqSgKUWAJQGFQakLRODHRonRg40zqxEJ/WienwtE4s\nBKdzZterc2aDu6M3A9G85pBngHjdJq8P5NteUawdyN1LPvwrA37cZMaDT+k6VHYs4Unnwkov2bmy\n7XautGIVIE7uUtud7e/oxa5b78/YKfdOrBoCD2ADufNtCbTyE3GL21u47pbuAb9dGlC1zuweO3iy\n63P0Zsygoxd7Vo5e7Hk7erH9nf3ZM3QLZfpq7+4s8SywPzs+/zz4BCJe7xg+mttnpO19IsbZbov2\n4bkPYRE18Y18zfQmJgkerLDJ2IBFhxbh4QMPw8gv/gPAOIPCpN+76vGjix5r9c7Y7six01xFkJyq\nHNzWujZJCBLBZnZlto2dm5hLkBzAeHRCcjnlQ1wputJCJ84kB0irx9W6fKy4sgKv/PlK6/0A67tX\n4hGBMdsnYEfyjrb1A4CIA3ZH2gAAIABJREFUsTAB2OAV2Pr9aWpdp6FMoYAl0EayW2vWczb9v6n+\ntTUTBGDUm/Qttxf0CQIw9WsCcP0fbX/fWeuAka+3HzAKAvDQdkqG4+eatvadtwd4+qLthMTbmUJJ\nlSVevNG+qARALPf0H6h0X9OqGa2ZINAcOXV58xVt22KDnyIm+V+xbvfQoi1NrctkRup0nca+9W7T\nWUQj+j5G8PSeQwBdoaLkwYD+FF0buJDkKlo94QO3cCq5OPQ5mmNdgm3r4v9C1gGQ/+Ii8XYbX+yf\nr2saNpLVRO16NwMFfeez8ku95jAQFH0fAxdd7mJ1SHlPlS/bxL/ofLY6z9LwCTUttfnBidcX8tnq\nUhkck4Flq6t0rMSN2p4lDWmd2P5aZ7aP1gmw59rS9WkcAXuRZdY5s6x9nZ6F3Z24pCLekeCBswe3\nQAOvOeS3e3D3iQfRfJvfX9JMGmrkoVaprbJjrI9Oz8CenStr27uxZ2LnyjkGLux+27mye+DgwRgE\nXivKA2deF+nPvRMBnPaQB5kBLTgJPMscwO3POxvSe2tqZEDfYmb3yc6F6UMdvQGPCNaWno+TD3sm\nTt7y/aV30cmHJew4+zPGmX+f+e+Ln5B5VoRPzOHbPCvXNHkHgNFshFmUYtQZ65r9XTKLOH4xgFyP\n66UkL6nnV68DcEvJhvt6sUqEmR/+uOoVmxLlS/Kam2qPp30rZ4LE68+ozAAAKIVWJnvpu40YB9i7\nIauSkkbrTfW36SSa9P4MeQaplZSge6P0xm06cNZnLhA4EGe6TUJRbRGWnFnStn4AMOJlnOx7H5Za\nirD4ePt0k2mhQzAmOAgfurQPQNUaavFYVRz23LtcXq6uFTNbzFh/fT1SAnsDr2fZTrJrwbIqs+id\nCx8FzN1pOxHShln4hToC+gIjX2t7mUHeXEPIGfhX5madc9u1x01NENquAf5vNfdwwgfj3ieHIWIs\nMOlTWqo7eDA5TY8eIT379J+oFrh7ODlET5ymd+WB36ht7wbM2w08cYrkW4/EUBKrWgcsPE7Jfv+K\nU/C/aB0A+T9hfOIBH7LtzIXlo+9n7SGchzhGDEEKCio1AxAgnCTWRHTyYavwOHiy8IeDF4VxAAIR\nEpDROLIBUGPPQKDanoVcNQ6szQNwvuSThmOi+DqOPLB1agkg86CYA358djtff1WSSZiN8vJS0j4W\nM2ur7ORgWdquc+a2OzONndaRhY95UKzTs1C8jguv8tn7ji0A5xYBMtfmQSbPVvNAmL830j0z1DFQ\nbKxj+5sMDBQrVAzYqe0Y0NY6s0oVdi7svtq5soQtvi0l7DS9Vr72Jv+8eQDJv/M8iOYZNR50y+4T\n73iIANlYzxyMxhoGfg21bB9Y2O8ICsYsaxyZk6NQsevWOrG2vTtru4ay/V1DmDPl7Mfee/5589UR\neKkID6L5SdxWRQQAFjGhsdZYa/PvACAVUtvr6IBipULGvDcF1rx8wSw6BYKEaTSO1nfQbDHjTD7T\nwxfXFqPnup7YnbobFQ0VOJl7kmQCkoMSNtIKZtIqqIShyWK6LfONqCl0H0e/AYBJMwxmA8rqy1ru\nB1C5rWcuAyNeRtqttLb3A+gaHzmI6zqt9VpleuvbmZ0rkoLJcbtWeg0NphaW/LVh54pjYYQZm1N2\nwNSWpX9FO5BxAGfzz+LN2H/KAWgrdjrvND658AkWxixscx8AuFl2E3ftuAsvHH2hXf3K6sswZssY\nfH7h89Z35qzR1IjFxxdjV8qudvWzWCzYcGMDEkoSWt+5icUWxaKkrqT1HZtYeX05DE1LF/63mdaZ\nGHGtI0XIBIHmRsnB0ukZ8WHnwsZsPnpp78bGN3s3Nt84uDOSxcGD/v0Xtw6A/D9t/IQ/i6uo8Pgx\n1r7ne9aWgC0ADOMSavotYG1eryiBLYuZTc4WC/PULWYOxFpYyEehZG0Vl6Wt0rG22p557Wo7BoZU\nOjlAtgmW+XZLYJljIGUAmQNVPNjidX58gom1beGSRywMrJqN7LgWEwPFShXbrnFgSUk6PdMFapxY\nNrBO30KbP6+W2tz58mCSB7x8JrzeBvgFWmbXpf0NtVy7joFiQy0bmBpr2L1vrGHnZmpkz0pQsGeo\ntmPP1t6d3Sd7D7YqGf8s+QLzsu3cdfPvAd/mr0/GznJgVgK/riEM8Ab0Z9+CXx/SGAMkY5B0v8FD\nWGQjeAiTR/j3ZXKHwEGkuZN+U2Lp/PtS1QOdntiS4S+Tg+LTnaRC3t3p+OM/ICfXJZjqunaZTKt+\n3fk5MbIae9IJjlhM3+DEpUxSNOkzVurozs9JE8iZBIhuxyA3cizb6KAA1N670vrvaoO8osWfOazi\nh0msVMNPAKviV2HRoUXNjrclaQsA4KerP+GLi1/giUNPEDCV3h0ueiRJJQDgYsFF7EzZiWpblTV8\no4HFKdbFQfJrWH301FupzffnTRBoAhYEKyAHgIyKjNv34yyritVXTypPus2eckuvYCUlk8ra3o+/\nptvqs5tYbBEl2ZosJtk5t2YncqhCS1FdEQpqClrZm9n5Aqo3firvVNscDtF2pexCcV0x1l5fa/t5\nt2C/p/6O/Rn78eapN2/7nje1I9lHsPT8Uiw4sOD2jlgTiyuKw9x9czF339xmEqTbWUZFBiZsm4BF\nhxY1j6bcxkrqSjDr91l469Rb7XJw6o31eP7o8/jhyg+t78yZyWzCV5e/wu7U3e3qZ7FYsD15e7v6\n/B2sAyD/TyTp3fUFa4uMCAA56FFzbCtfTokvCcOzofwSsXyYymbbwgCNxcyAjsXMjms2MsZXULBM\nfpWOMaMaBxbyUOlYPWS1Haz3ScMzyxwo5q+vJZaZvz5HDkhJjBwgB58tAVEeYEm/aTEzgGwyyFlm\nKyA0yh0J6R4o1Yw15ll0rTPHGuvZ/vx1tOV8+TZ/P/iyPPx2npXmGVlnGwBZ4yiXRug5/bTE2PP6\nYrcwxry6hzPpg3snlkDoEckymz07E1AESPox4mVR39yJnDt9IIHDiZ+QVtjBg9rdptO9nPgJ9Vco\nCRBK0Y2JnwCTv+TA4VraZ8pXwEM7yWG5+zsK82mdaGWxubvp9+9bT8kljp7Ag1uB+zdQ8tNDO+j8\nAvpRSHDgIgLFjx8nLWT4aNInRk2hZMIXE2lBgLCRwKuZ1C9yAvBGIV1f9EzglXRyAHrNptq6Wida\nbOCJU5Sd328BMH+PuLLY43QuADDgMVqRDiCdoFQFYtATtAAEQPv3ncf25xM+OWsrQAaAgduZdKO8\nnsoyKoTmw7w0WX/o4YZktRow1OHLy1/iVO4pK7vmZU+Oz3dXvgMACIJgBWnJt5LJcb/nB1QMfRaF\nNYUwmA1IuZWC+zpTRv3W5K1469RbeP/s+7hafBUvHnsRBrNtBi6/Jh/d3InBTipPQmxRbJvYupyq\nHHR3JwlOZmVmK3szy6rMQhc3crB4kN2apVekI8CRvqWb5Tdb2ZtZyq0UuGppHEoobTvrmViWCA87\nIg2uFl9tZW9m10uvw0Ecky8VXmplb2bxJawE5bn8c7fZU278uZ3Ks1HlpAWTADkAiky00SQHoM5Y\nh6PZR9vc70AGlR/LrsrG8Zzjbe63O3U36ox1OF9wvl3nuTVpK26U3cDOlJ2yqExrdiznGA5nHcY3\ncd/gfP751juIdjrvNFbGr8QbJ99o13M/kHmg9QTZv6F1AOR/1e7lypvog1ibzziXgBbA6mICTQAy\n3+ZK6fBAuDWwbDFzbQsDqzxYNpsYcDUbOXZYyxb3UNvLQbFUYodnk2VtXmLRBjaZvz6+9A9/fTLJ\nRGsMMpiO2GxiulmzgfU1Gdi9MTWyZ2IysuszGdiqeAoVOweVloFPnZ4touHgzvTXDp6MQXPwZOyl\nVs9C6ko1A6uCQCyvdJ+DOJYzdAQBS0GgBIgRr9B9ipoKTP2G2PJeDxIodPCk5JmHthNAHfYC6cA8\nOlNC47RviAW96wtiOUNH0js77EVKfnlwG5U26noPacq63AX0mEmh66CBpEd/KYlY234PA6/nkmMy\n4DFgcRrd04ELgefjCdgOWgQ8LC5OM2gRW/Rg0CJg4sfUHvg4AVhpuxQlGfAYK3HUdz5bJKDXAyyc\n12MGrRQGEMB1FJ2qTuPYsw4fzb6n4MH0/AQB8OtF5ygIBHwlUClFLgRB/q41XdpWsv/lfIVbDVRb\n+/OLLYetP3dvuXSXxABKQFAyhaCQsWDTA3yxN5TJXiTG8bEej8n7QWEF2y8ffxkbEjfC1GMmHop5\nBGO3jkV2VTYMZgN6evaEs8bZqgtOvZWKd8+8i5jMGNyz6x5UNlaiqRVUF6CHRw9olVpsuLEBc/fN\nxa+JvyK7MhtvnnwT6xLWNWPgzBYz8mvy0de7L1QKFWKLYvHemfdQWkelHtNupdkEeSazCbnVuRjo\nMxBqhRoZlRm4VX/L+vf86nwZUyyZxWJBRmUGhvoPhYPaATfL5AC5wdSACn4lT65f6q1UjAoaBSe1\nE66VXGv2d1uOg8lsQlpFGiaETICdyq7NwNpsMeNm+U1MCZsCB7WDlYVuiyWUJGBk4Eg4qZ3aBZDj\nS+IxIWQCnDXOVvDaFrtSfAWjA0fDResir7jSil0svIgRASPgbe+NnSk7W+8g2oWCC+jn3Q/e9t7Y\nnLi5zf3O5p9Fd/fu8Lb3xtqEtW3udzjrMLq7d4eXvRd+vPpj6x1Ei8mIgZPaCd723vj84udtZq33\nZ+yHSqGCh50HPjj7QYsOaVPbmbITLtq/dsm1/4R1AOT2THoqDpzq9Ix15CdRGSjmwTLXVnLgkAeQ\nPLBsE4PMM8U8QOaBs8QgG9g58ABZoYR18QaNPccgaxmIU+nYfdI4gbHJLWiQeSDMb+edBN74Z8Dv\nw/fVtQCWJUmGoxc7rtaJPSuPSCax8O7Gkrz8erFyXAH9GWPq14eAn2so6UdHvEyZ3F5RwJglBOBc\nQog9veM1AsvTvqX/1Dpg+o/AA1sIfM9cy6Q1jx9jy90uOgm8Kk7Ac3cCj4oTw0O7ALHSAB7cwqIR\n9/3Csv7vXkGgUBAI/AYOoGONXUJsr0JBVT6c/ajd/1G6XwoFgUy1jtqdxtKzVigIhAoCtSXtmELB\ndLeCII908LVJ/9uSXP9CxssO/hVrKUSuEBRWiYVkr1nYAgESQPZ18LWyswAxyApuylh6fimWxy63\ngklJ4uCmc4OXvZdVVywIAlx19M1mVmZi6K9DcanwEpacXoLZe2ajqrEKVYYq+Dn6wcfBB9lVVAkj\nrjgOX17+ErtSd+Gzi59h3NZxyK/Oh8ViQaOpESV1JTCYDQh0CkSwUzB2pOzAlqQtWBm/ErtSdmHa\nrml49OCjePbIs6jhFjwqqi2CwWxAiD4EQU5BWHNtDYZvHo7DmYeRXJ6M6bunY9rOafj43MeyMHxJ\nXQmqDdUI04ch0jUS25O346E/HkJyeTIKawoxadskjNw8Eh+d+0gG5kvrS3Gr4RYiXCLQ1b0rDmUe\nwvLLy1FeX46KhgpM3z0dgzcOxrJLy2T98mry0GBqQKRrJKLconAs+xi2JG2BwWRAnbEOjx54FEN+\nHYLv4r6TPcvc6lzUGevQxa0Loj2iEZMZg9N5p2G2mGEwG/DKn69g3NZxWHNNvnJfRUMFsqqy0NOz\nJ/r69MUf6X9YwbzZYsbS80sxZceUZgmcxbXFKKwtRC/PXhjqNxTHc45b2XyLxYLvrnyH+/bc10xn\nXFRbhNzqXPT17otRgaNwNOsoUsqZ/GRz4mYs2L8ABzMONjteZmUmBvgMwNTwqTidd9pa1hAA9qbt\nxTOHn2kG1G/V38LN8psY5DsIMyNn4kz+GRzPZizy0ayjePXPV2W/Jd2XhNIEDAsYhjlRc3C+4Dz2\np7OVai8UXMD7Z95HfLF8Nczi2mIkliViXMg4PNz9YVwqvIT9Gazf9dLrWHZxWTOJT72xHidyT2Bi\n6EQ81+c53Ci7gW3J26x/TylPwQ9XfmgWMWkwNeBI1hFMCZuCtwa9hZRbKViXsM769+zKbKy/vh75\n1fJxpbKxEufyz+GeCNsRrL+zdayk1x6b/iPwmwhUBAUDBzwoloFlHhS3oc1LE1pikFW2GGROYsHr\nji1mpq01m9i5mY3sN/mEEaWGgWKFSs4aS8aDYh408Ux4W0BxW0y6v749GePcZx4BYfdOFKp2CaLk\nxqHPUlLY0OeJmXQOoDJxveYQQJyxGuh8J133I4eIXRUEKusj6WDfKmHP4zlxEQcHdwKxAAFJidEM\n7M/kCb7RbJUqz84sWYHXGPOVL2RSGq4manuK4ndYh7VipfXEpDZlkVSCqpl8wdveG4W1BJIlYO6g\ndoCThn3XCkEBVZPvmWdRpbajxhHe9t5Wra3JYoK2Sd3kgxkHrZO+FNb3dfCFt723deIvqCmAWqGG\nSqFCkFMQ0irSsCdtD26U3UBSeRLeGUwhYT9HP4TqQ5FaQTrftIo05FTnwMPOA0FOQTiafRQxmTHw\ncfBBRkUGQvX0XQY6BSJEH2Ltty9jH/wd/VFtqMbEkInYmLgRfbz7YKjfUFQ1VlmBe6g+FJGukYgt\nikVccRw23NgAO5UdyuvLMchvEH5N/BXD/IdhRABV/JH0x+Eu4SipK8G5gnP4Kf4nNJoaYae2Q8qt\nFPTz7oc119ZgmN8wDPAdIOsXpg9DL69eWH1tNd478x7K68uhUqhwruAcenj0wIorKzDYbzB6eVH0\nStKBR7hGoN5UjzP5Z7AwZiFeH/A6VAoV9qXvQ4RLBJZdWoZBvoMQ5U5Vc6SEtx4ePRDsHIxj2ccw\ne+9sfDD0A9ir7bHhxgb4Ovjio3MfoY93H0S6Uj6AJK/o7tEd3Ty6ISYrBlN2TMGykcugUqiwIm4F\nXLWueOf0O+jh2QNhekpKjSuiMbaXVy8MCxiGQ1mHMOP3GfhmzDdwVDvig3MfQKPQIK44DlHuUQh0\nopyKS0UkHejj1QfeDt74I/0PPHrwUawYswJ6rR7/OEnVVc7kn8HOaTsR4ESSmIuFtKroAN8BCNOH\n4VDWITx/9HmsGLsCzlpnvHjsRRgtRhzNPoqd03bCz5HmhQsFF2C2mDHYdzC6uHXB0eyjeO3Ea3C3\nc4daocZjBx+DyWLCvvR92DFtB7wdaKw/m08LPA32HYxwl3DsT9+Pt06+hQDHADiqHfHowUdR1ViF\n7Snbsfvu3XDTEZFzKu8U6ox1GBs8FoN8B2F36m58dO4jhOvDoVVpMW/fPDSYGvBr4q/YMW2H1fk8\nmXvS+u4O8R+CccHj8HXs14j2jIaj2hHz989HrbEWaxLWYPvU7dCLpTyPZR+D0WzE2OCx2IiN6DBm\nHTNye4wHgUo1rExqi6xxC2BZ0QJolIHl1nTHYGCZT8xr2paOZTaxtsXEgJmxgR3X1MhAsdnE2nzJ\nJrUduy6NE2NtNY4sKUulkZfmipzE/jbydVZwfNq3wHQxqWjONgr1A8SwSmzrS0mkJwWAt8tJoyoI\nwDMXic1VqoHZG6lcmEIBjHuXZAFKFdVbdHCn7d3vFeUhAgFbhejg8ElibV2qs8M67P+AlYnLwS/o\ntkC2XSEomlXG4IGwxCA3BciNpkZrAtb4YKqBysslEstoeW0ntZNVvwwQk1ZcW4zh/sNx8v6TiHCJ\nkOl+pYQiHwcf+DowzX1yeTJyqnMwKWQSdt29C+H6cFwquoSYzBhkVmZiTxotv+zv6G8FvQBwreQa\n0ivS0durN36e+DO87L1wIucEnjz0JD4896E1lB/kFITeXr2t/c7ln8PFgovo5dkLS4cvhZvODYez\nDuP5Y89j8o7JVr1sqD4UPTxYxZWj2UdxMvckBvoNxPLRy+GkdsLhrMP44uIXmLF7Bq4UU23nCJcI\njAwcaV34ZW/6XuxP34+BvgPx3djv4Kh2xJ60PdiWtA0fnP0AN8pIohLuEo7ZXWZjVOAoaJVabErc\nhG1J29DHqw9Wjl8Je5U9dqbsxNn8s9hwY4NVGx3hEoFZnWfhrUFvwd/RH6viV+GX678gyi0K6yat\ng0ahwa7UXSipK8HpvNNWR6Wre1eMCx6HdZPWoZNrJyyPXY5vYr9BsHMwNk3eBK1Si18Tf0V5fTmS\nypNwpfgK1Ao1urp3RW+v3thzzx6E6cPw6YVPsezSMgQ5BWHr1K1QK9RYm7AWdcY6lNeXI644Dlql\nFlFuUQjTh2HPPXsQ5ByED85+gCWnl8DL3gvbpm4DLMDGGxthNBvRYGrA5cLLsFPZoYt7F3jZe2Hr\nlK0IdQ7FGyffwMvHX4aHnQe2T6WEM0k/b7FYcDb/LOxUduju3h16rR6rJ6xGkHMQXjr2Ep469BTc\n7NywZcoWmC1mfHnpS+vzPZF7Ag7/r717j4uyThs//vkOMyBHEeXkgAKigKCk4jHL8oDHNE0Ty9VM\ns6yt7GDt02m3fpXlL8t8cmur1Wrt0W1rFTdLM7XDs2nmYTuYmRqkqOU5VEQEv88f98zNPcAEpDII\n1/v14uV9mHvm4nKAa7739+AIpkNkB4IcQczrN4/40Himr53OnWvvJCY4hsXDFlNcVswL/3nBvG7d\nvnWEB4STEpGCv58/c66cQ/PA5kxdNZWJKybisDmY128eJ0pOMG/LPPO6lfkrCfMPo2tMV2zKxjN9\nniEuJI7fr/49t6y6hYgmEbzY/0V+Of0Lz216zrxu+Q/LaRbQzPyA9Vivx4gPjeeONXdw06qbCPUP\n5Zk+z3Dk1BFmfTHL4/VigmM83tPCIC3ItRmkV7ErRZUtyF6KZT8vrczeOH5jdwuwdOFQlgK51NKC\nbC2QT5U/Xuvyvp1BzY1+nHs3GgO8Lr0T3rvXmKVg7EJj/figCGOA0p4NRlE85UModN2+uXGFMasC\nwHWLy/s5X2FZRMS6xKV1pg7rdF/WlldpYRWN2C2Zt/DSly9V/0CXxduNW+HOECfj08azcNtCwJg2\nruIAJWt3DPegp4oFcn5hPs4QJwNaD2D2FbN5dN2jrMxbaZ53t5iFNwk3B5aB0Zf62OljjGo7iqYB\nTUmJSGFV/irz/PIflgNGC3JqRCq5u4xb8cVlxRQXFRMbYhTNnaM7mzNqAOao+9iQWLrHdueVr18h\nKiiKA0UHKCwpJLt1NkopusZ0ZUXeCrNbyaLvFuFv8ycqKIohiUP4aM9HtA5rzTs73uHY6WNMzpiM\nn82Pni17smb3GnOQ5F+++gvBjmCig6IZkjQEu83O6bLT/PGzP3Kk+Aij2o7CYXPQo2UPVu9ebfZH\n3n50O80CmhEZGElUUBSfX/c5a/es5Z6P7+HQqUPkpObQxN6Ey5yX8a8f/sWSneWLl0QFRRHqH0qo\nfyhz+85lze413Ln2TgAmpk8kyBFEn/g+LNm5hCU7l5h9VeND481BetemXEtMcAy3rb4NThmFU6h/\nKH3i+5C7M5dPCj4xW8eTw5PN//NOUZ2YkTWDqaumcoADPNbrMSKaRDAocRBvf/82q39czdHTxkDQ\nji064u/6O+IMcXJ31t3G6wFPX/Y0UUFRDG8znLe+f4v3fniP0rOllOpSsqKzcLj+TkY0ieD+rvdz\ny4e3APDsFc+S0DSBQYmDWLhtIe/nvU9RaRGnSk9xqfNS84NGiH8Ij/R8hIkrjAGv8/rNo014G65L\nvY4FWxewft96TpWd4njJcfq36m++Xqh/KE/2fpLr3ruO42eO8/KAl0mNSGVi+kRe/uplvjz4JWc5\ny4GiAwxMGOjxek/0foKJKyaiUMztO5f05ulcn3Y9r219ja8OfkVxaTH7Tu5jVNtRZr/95oHNeaHv\nC0x4fwLFpcX8ZcBfuCTqEsamjGXRd4vYengrx0uOs/v4bnJScszXaxrQlDlXzjGXb//vvv9NSkQK\nv0v/HQu+WcB3R76jqLSIHwt/5Ib0G7C7/uaH+Icwr988pnwwBY3mxX4vktwsme+Pfs/LX71s3mnY\ndmQbUztORUl3uUqkQK7uTdHvEVjtXtHN8liblxZkm5d+x7Zatk7aKrTaVrltLaItyy9buYv0wPDy\n+VlbdjZaXD+aaQx4CouD4kJjac8OY4xV0lr3Mvq3dplkzILQ7SajP6tSxsIG7sUNYjPLB6OFtyqf\nZiwg1LPFXX74hKhWoLULVQUhjhCv56p7TvfAtYo+uvYjXt/6Ogu2lvdHdRfLwY7gSks47z2xl95O\nY7q8+NB4jp85bp4rKi1CoWjq35SEpgkADEkcwnt57wEQGWh8+E6LSDOLYjc/5UeLwBaMbjeaQ6cO\nkRqRyoxPjMU43K3KFQtkMIqqQHsg3WO7k3t1LnZlZ+gSYz75pHDjVn5WdJb5eoH2QE6VniI+NB4/\nmx+RQZEsGLSAA0UHzC4fWTHG3NU9Y3tWirNNeBuUUjiUg6FJQzl55qQ5+t/dcterZS9W/Wh8AHDY\nHJw5e8a8DsDh5zC7XwAMaG3MPNInvg/v578PGP/XJ86coEu0ZbEd4LK4y4gOiqawpJDBicZqZwMT\nBvJ+nnFdmH8YhSWF9Iz1XBikt7M3HVt0pLCkkCFJxuppI5NHsurHVR7TAV4Rf4XHdT1iezAyeSSn\nSk9xVRtj2ehr213L0p1LOXr6qJnPQYmeq95d5ryMSRmTsCu7Gef49uN56/u3KC4rJjY4lv0n9zOq\n7SiP6y51XsqD3R/Ez+Zn5mVyxmQ+yP+AkrISYoJjyPslj+tTPVfo6xzdmblXzsWmbGZub8y4kaU7\nl1KqS4kNjuVM2RkmZXjeTUlvkc5bw95Co83BrJMzJvNJwSccLzlOmCOMU6WnuLmj53zSHSM7snzk\nchTK/AB3U8eb+ObQN5w8c5LooGgC7YFM7TjV47rkZsmsGL0CrbXZxeH2Trdz8NRBDhQdoFVYK+JC\n47g50/P12oS3YfUY486H+4PIrZm3cqLkBLsLdxMdHE1aRBpTOniuetgqrBUrrzE+xLrff7d0vIWy\ns2V8e/hbynQZgxMHc2PGjYjKpECurnCztt5aH+seFe/eth43t720JteW9Tmr6oMc5iyfD7jdQKMP\nbHhro7tB4uXGcqM4GuFZAAAWAklEQVTdXIO1pn5kzLSgFPzJMuL6mlfKty+5rjxm64IGUuQK4TN2\nb12zqhFoD/R6o6x5YHN+Kak88wIYBXLnqM6s37+eSRmTzEFd7kLdeks2LSKNbUe2odH42fwYljSM\n2OBYOkd1NgvkNuHG75LOUeUzZlydfDVLdy6lTJfhZ/PDz+bH9C7T0Vrz/ObnKThRYF7XJaq8WByb\nMpa/b/+7x2Id7r6t3WO7s+mnTWRFG4Wutci8p8s9PP7545Sc9Zw7NyooijHtxvD5/s/Nx/eILZ/T\n/uEexnR17n631hz9secfyfslj/YRxiw37g8QAHP7zmXah9Po37q/x3VN7E14JfsVTpScMLuj9Hb2\nJsgeRJvwNtyTdQ8PfPoAY9qN8bjOYXOwcMhCSspKzJbe3s7epEakkhaRxqSMSbz69avckHGDx3U2\nZeO1wa/hp/zMFs1eLXsxPm08zhAn2QnZvLPjHcanjfe4TinFY5c+5nEso0UGj/Z6lMjASDJaZPDF\nT1/Qt1XfStfd3eVuj2OJTRN5Y/Ab5iDOnUd3ktEig4pyUnM89pObJfPuyHcJsAfQ1L8ph4sPe3Th\ncbuy1ZUe++FNwlk5eiV2Zcfh56CkrMQsLq1SIlI89oMcQfzjKuODmNYaja5yqkR3H2W3MP8wFgxa\nUOlxFYX5h3nsh/iH8OwVz1Z7XcXYm9ib8EjPR6q9rmLLsMPPwfQu0708WlhJgVxdF4vt73s+tnky\nHN5ZuQ+ysnn2+YUK3SrOQ6ojU41uBpGpRouuf5Axh2xyf2Pg151fGq3ENj+Ybpkzs49lWdSWnSo/\nrxCi3qtu+eaEsARzqWerQHsgdlX598+17a41r6tKgF8A0y6ZxnVp1xFkDzILZHcx5J63GODmzJuZ\nvrb8j65N2egaYwxifaj7Q6z6cRV94oxZY1Kbl087l5OSU+U0XUopXhrwEpt/3swlkcbgM3dLHRjd\nC97Z8U6lFkiAOVfM4eCpg8QEx5jfX0xwDA6bgxHJI/i44GNuSL+h0nUVi43o4GjGpowl2BHM6Haj\nCXIE0atlr0rXjW432mM/JjiGZ/o8Q0STCLrGdGX1mNVm67mVtQAH41Z67tW5BDmCCPMPY+XolZWu\ncT+/VYBfgFnQATzR+4kqr3NUuIvpZ/Pj/m73m/vTMqdVeV1FSimPvGcnZNfoOsCjz3eHyJr3ebX+\n31dVHHtjvSNTVXFcHaUU6nyslSAuSlIgV9cq+uNnno91z0doc3i2ICs/45yfl8F4tWl9dS8OMeSZ\n8i4Ld/ynfEqz2yzzU3azzFVqXe5WCNGg+FUzdmF4m+HM3TK30vFAR6DZimRXdkq1MXVZ80BjQZoJ\n7Sfw7CajBetvg//G7943ZupxX+O+FTy7z2zW7V9nFsZBli5e3WK6EewI9hhk5zY2dSxjU8ea+w6b\ng2vbXcuOYzto37w9t2beWmWx1DqsNa3DWnscm9dvHsWlxcSHxrNmzJpKrXFgtMiFWGbSUUrxzvB3\nUCia2Jvw5/5/rnSNNw/1eMjcHpY0rMbXDUwYaG7XpqCrWPwKIXxHCuTqPh16TNCtygeb2ezlU6RZ\nl2L2aEH2nNrIQ0wHOOwayT12Yfl1D+wrfy5r8WudMkwI0ei4V3DzxnobODUi1ZxVItAeSHrzdJbt\nWsa8/vO4eZXRv9HdwmstvDMjM70+f3ZCdqXWwpf6v4S/nz+h/qH86+p/mQPDqvNwz4fN7WmX1Kzl\nEvDou+ue3qomqiqkhRDi10iBXG3LrmX1Jo8WZD9jWjQw5gZ2Tyhv7bPsZ4f2I+Bb1wTpk1bAcdcs\nD1M/Li+w064qv8a/Zn9ghBCNS4vAFjzY/UGe+LzyLfT5A+d73E7+c78/0/cfRlcIh83BuNRxZMVk\n0a5ZOzaO30jZ2TKPFuAHuj/At4e/RSnF/IHzaxzTpc5Lze3IoMrdCIQQ4mIlBXJ1LchR6UZf34Iv\n8GhBVspYnQ6Morb3XfDpM8b2tHWux2OspubW2jKy2OZXs+nehBCNRsvglgT4BXgMPnOz2+xVttDG\nhcSZrcExwTHmAhvhAeHmctVKKXOAWYBfAFT41TMudZy57X4uIYRozGRi2epakHtP9yyKzRZlZcwO\nAcbMEv0eNmaFUAqi20OXieXXyOwPQogaaGJvwuKhi6s8561Afvryp83t+dnzuavLXYQ3CWfJiCUs\nGrrogsUqhBANmbQgV9eCrGx4FMXurhQ2uzE7hHWGCCGEOEfWrgpDk4aac/GeKTtDVkwWLYNb8vTl\nT/PNoW8YkzLGYxnn+LB4c07TFoEtPBbsEEIIUXNSINekddfagjz8BVj9Jwip+chkIYSoqaYBTVk4\nZCF//fqvPNT9IW7vdDuLti0ioWkCNmUzp/+6JOoSH0cqhBANl3SxqKoFufMEz333wDyloG1/uOV/\nz23hDyGE+BWZkZnM7TuXEP8QnCFO7u16b5WLFQghhLgw5DduVS3I7rmHwdV67G5BlnQJIYQQQjR0\nUvFV1YKsMZZvdosylhClSdM6iUgIIYQQQviOFMhV9kHW0MoyJduw5+CG5RCRVGdhCSGEEEII35AC\nucoWZO257wiEhN51E44QQgghhPApKZC9tSBXuS2EEEIIIRo6KZBtfnDFA8bMFG5ay+IeQgghhBCN\nlMyDDHDF/Z77+iwM+H/Gv2lX+SYmIYQQQgjhE1IgV0lDWCyMnu/rQIQQjch3331HVlaWr8Oo0sGD\nB4mMjKz+gXWsvsYF9Tc2iav26mts5zOu/Pz88/I8DcU5FchKqTHAn4A0oJvWeqPr+ADgKcAfKAFm\naK3XnFuodeDKB2HtE5UH6QkhRB1ITU1l48aNvg6jSllZWfUytvoaF9Tf2CSu2quvsdXXuBqCc+2D\n/A0wCvikwvFDwFVa6w7AROBv5/g6dSPxcuPfpD6+jUMIIYQQQvjMObUga623AagKA9q01lssu1uB\nQKVUgNb69Lm83gXXqgc8fEiWkRZCCCGEaMTqYhaLa4DN3opjpdRUpdRGpdTGgwcP1kE41ZDiWAjh\nI1OnTvV1CF7V19jqa1xQf2OTuGqvvsZWX+NqCJSupr+tUupDIKaKUw9qrXNdj/kIuNfdB9lybTqw\nDMjWWu+qLpisrCwtfWmEEEIIIcSFoJTapLWudjR0tV0stNb9f2MAccASYEJNimMhhBBCCCHqgwvS\nxUIpFQ4sB/6gtf73hXgNIYQQQgghLoRzKpCVUiOVUgVAT2C5Umql69TvgWTgEaXUf1xfUecYqxBC\nNFgrVqwgJSWF5ORknnrqqTp97T179nDllVfSvn170tPTef755wE4cuQIAwYMoG3btgwYMICjR4+a\n18ycOZPk5GRSUlJYuXKlt6c+L8rKyujUqRPDhg2rV3EdO3aM0aNHk5qaSlpaGuvWrasXsT333HOk\np6eTkZHBuHHjKC4u9llcN954I1FRUWRkZJjHfkssmzZtokOHDiQnJ3PHHXdQXffQ3xLXjBkzSE1N\npWPHjowcOZJjx47VeVzeYnObPXs2SikOHTrkk9gaFa11vfnq0qWLFkKIxqa0tFQnJSXpXbt26dOn\nT+uOHTvqrVu31tnr79u3T2/atElrrXVhYaFu27at3rp1q54xY4aeOXOm1lrrmTNn6vvuu09rrfXW\nrVt1x44ddXFxsf7hhx90UlKSLi0tvWDxzZ49W48bN04PHTpUa63rTVwTJkzQr7zyitZa69OnT+uj\nR4/6PLaCggKdkJCgi4qKtNZajxkzRi9YsMBncX388cd606ZNOj093Tz2W2Lp2rWrXrdunT579qwe\nNGiQfu+99857XCtXrtRnzpzRWmt93333+SQub7FprfXu3bt1dna2btWqlT548KBPYmsIgI26BjVp\nXcxiIYQQ4lds2LCB5ORkkpKS8Pf3Jycnh9zc3Dp7/djYWDp37gxAaGgoaWlp7N27l9zcXCZOnAjA\nxIkTWbp0KQC5ubnk5OQQEBBAYmIiycnJbNiw4YLEVlBQwPLly5kyZYp5rD7E9csvv/DJJ58wefJk\nAPz9/QkPD68XsZWWlnLq1ClKS0spKiqiZcuWPovr8ssvJyIiwuNYbWPZv38/hYWF9OjRA6UUEyZM\nMK85n3FlZ2djtxtDs3r06EFBQUGdx+UtNoC77rqLWbNmeUytW9exNSZSIAshhI/t3buX+Ph4cz8u\nLo69e/f6JJb8/Hy2bNlC9+7d+fnnn4mNjQUgJiaGn3/+uc7jnT59OrNmzcJmK/9zVR/iysvLIzIy\nkkmTJtGpUyemTJnCyZMnfR6b0+nk3nvvpVWrVsTGxtK0aVOys7N9HpdVbWPZu3cvcXFxdRrj/Pnz\nGTx4cL2JKzc3F6fTSWZmpsfx+hBbQyUFshBCCABOnDjBNddcw5w5cwgLC/M4p5SqtCjUhfbuu+8S\nFRVFly5dvD7GF3GB0Uq7efNmpk2bxpYtWwgODq7Ud9wXsR09epTc3Fzy8vLYt28fJ0+eZOHChT6P\ny5v6FIvbE088gd1u5/rrr/d1KAAUFRXx5JNP8thjj/k6lEZFCmQhhPAxp9PJnj17zP2CggKcTmed\nxnDmzBmuueYarr/+ekaNGgVAdHQ0+/fvB2D//v1ERUXVabz//ve/WbZsGQkJCeTk5LBmzRrGjx/v\n87jAaJGLi4uje/fuAIwePZrNmzf7PLYPP/yQxMREIiMjcTgcjBo1is8++8zncVnVNhan02l2d7jQ\nMb722mu8++67vPnmm2bh7uu4du3aRV5eHpmZmSQkJFBQUEDnzp356aeffB5bQyYFshBC+FjXrl3Z\nsWMHeXl5lJSUsHjxYoYPH15nr6+1ZvLkyaSlpXH33Xebx4cPH87rr78OwOuvv86IESPM44sXL+b0\n6dPk5eWxY8cOunXrdt7jmjlzJgUFBeTn57N48WL69u3LwoULfR4XGF0D4uPj2b59OwCrV6+mffv2\nPo+tVatWrF+/nqKiIrTWrF69mrS0NJ/HZVXbWGJjYwkLC2P9+vVorXnjjTfMa86nFStWMGvWLJYt\nW0ZQUJBHvL6Mq0OHDhw4cID8/Hzy8/OJi4tj8+bNxMTE+Dy2Bq0mI/nq6ktmsRBCNFbLly/Xbdu2\n1UlJSfrxxx+v09f+9NNPNaA7dOigMzMzdWZmpl6+fLk+dOiQ7tu3r05OTtb9+vXThw8fNq95/PHH\ndVJSkm7Xrl2djI5fu3atOYtFfYlry5YtukuXLrpDhw56xIgR+siRI/UitkceeUSnpKTo9PR0PX78\neF1cXOyzuHJycnRMTIy22+3a6XTqV1999TfF8sUXX+j09HSdlJSkb7vtNn327NnzHlebNm10XFyc\n+TNw880313lc3mKzat26tTmLRV3H1hBQw1ksql1qui7JUtNCCCGEEOJCqelS09LFQgghhBBCCAsp\nkIUQQgghhLCQAlkIIYQQQggLKZCFEEIIIYSwkAJZCCG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 7))\n", "for ind, (waveform, freq) in enumerate(zip(waveforms, freqs[:-1])):\n", " plt.plot(waveform - ind, label='{:.2f} Hz'.format(freq))\n", "plt.legend(loc='upper right')\n", "plt.title('full waveforms')\n", "\n", "a = plt.axes([.5, .1, .4, .4], facecolor='white')\n", "plt.yticks([])\n", "for ind, (waveform, freq) in enumerate(zip(waveforms, freqs)):\n", " plt.plot(waveform - ind, label='{:.2f} Hz'.format(freq))\n", "plt.xlim(0, 1500)\n", "plt.title('first samples')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vsyDUDJSyytblWI3KwxebFItndbpbddmgWEyRGKRXqTC9WJ0Edu3z2YqKxTSA\nRteY6wB+AMAvisi8c+5U99d+GMBXuz9/CsDHReQD6JDqDwP4knOuJSJXReRl6JDq3wDgg5tdf73R\nxomTJLgY0zPIA7P6dgDA0SfUze6eF/JjYg4AzaY/H31iD1mkkNWNXVhd523DiQDVqv5dpAMkqK3p\nwYiJ0A2gQbWTrfJYRjramelo7s5LJk87brUcLl/WM8XDp86o29Nz+nYAwHVCv/BpQI3ZPwM92qS3\nO/ecuy9OgHpdD3vSQT1JJoOD/IR5256PXKEvMuk18rx+jjrI8wA+2uUNJQAecc59WkR+XUReiM7b\n4CiAtwCAc+5xEXkEwNcANAG8rVtSAYC34juyLI9iE0I9OidEq0U4hetk6EdD77YGADTJvpZxDENw\nbhdrpOrR1Wg8o6ZzteGklGBonAS8zPmOGY2mPtPGqDpJBMFFDI68N8qeudmxazusEX/bvqX7znSN\nUyyY7rzXIAwLITWNswxG+he5+uI0EQwP6VSK0hjxqyP6kCcAnnKTOfvi0BJrMTcX7rDpfysqFn8B\n4Dm8BOfcTxjHPATgIWX7YwAe3NKd3bnBcoI50j1dXSSGO62PoAZAAw9z1PQ1IyPNEEOpohg1DSB/\nG26stXDimC55tX9Gz7KVF57kJ5zUy3rmhD2vec4eU7Z8ss7WrYWcpBe6ySN7FYvc7LhcSbGwpFPd\nSlNEf3v5AD2fqdnNELmf2TZ8mlOzmqS3S8jbFzebDufJoJDx03pVIzMVCwv9ZvsWYoiduoh+kl6z\n6XD2nJ6JGCGTb0oLxmCPy0Q+i42gBuI2zpjvrQAAIC0lGB8jndNz+iJPxnnntCVJuGcQWg4sJPK+\n/i5gfb2F48d0ecGD83pgUT76TX7CaTKwacAncI48GMlMaShkCbz/bBjorKvLrEmvRBJHgZv0giLL\nxU/IzHPo4SK7NEMi4m++gzQVjI4QHeRp0vE8aQz9GNYHhUSRQcoq4+ujLhFa5i3vMlOWcI435PhQ\nH9KMuOXbPZcvYvjOQzcX9hmcA5qM6tYkyYWmrnqx6b6Q8JH8o+fak8Np+grlcoKFeZ3WRpMVlsyb\n17CwPlvAx0OlDI7oA2TnHJot/QtorxMnu040NgE+I92gWASFD9Hcd+VGy9N+pwt2/T2GRtPonH5K\nnwZZn3mGn3DhKXWz7LuPH5MVL9eHlmEF/Ow4M2PgQ/PIWc80clQqCVaWdR9ZWdIDCFlapecTQhPa\nU0GoT/YlwzyeAAAgAElEQVQvdN9Lv32mm6DRaOMkmcy7/7ROpSxf1NUtAEAmDDrnduEz4baADapB\nvrXDow+Qmy2HC1eIDjKhWFTPGjrIx4+qm92o0RTlgxga4bIa4LGHMmk+KJc4j76+X+ewySKXyJK5\nVX2HRRMKiRhK2jG/MOjf07vBSEfFQvfDg1f1gKNkTYNko6ZrhmJAryKKd0GO54oIDp3Jpuo+kohD\ny/CrTCmqVzOnWS2mIuLFW4g+QC6XEsxP6cHFwH6yels29Dfvfb66WSa4vJA7oWfs9hTyHi7S45kO\nmqBk2VMrozlMmlOtaZAMETmjXOE1Vru3bXK7oAUpj2liwgKLKBRIAg4XKRAV0lQwPq7LuZUn9QqJ\nSbHIKinB4KNxnaXPz2roxy4lTKIPkG1SPSmzlslEHAC4pmedM9PfzIFo/hzEkNHYQ8FFs+Vw8aKe\nfRs7oTeUVpaNKsixr6mbZcZjGqQFH36014hcDzvxGDWdx6jSfkGaCkZG9V6QZJhkfa3yszGYKSwi\nCBJCoh/5/xmi1XK4clX3xZOXdRpc+QpXsZJpQhWy0G+feczv8h1+1tEHyADQpo0W7ADjQyH6m1Eb\nra8Bss/B4nzGbOw9inI5wcKCHkRUDunSbLJ6kJ5P5vbrO9oZNT75YE/xf/vvGWo02jhNuJuDx3WO\nZuWYUXmbX1E3S9UakNNnn2to/Vja+OyzaO2zz7qLdtvh+k3dTzavkAD5qq7eAoDHE6zXyRfFezkX\nRB8giwjY7PSkQgI9K4PsowDgg16U9vFFnzrTUGi3HW4SpzxMnK9cM5zyrWv6diu4iMFOGAKX1c0R\nvgW8IOjIFar7yh7yWGxRFHLwgi9CDhfZ7LgCmaJcTjBP+kFq+1izqb6YAwCkAUOo0BrXoZEVXSIi\n/x19gNxotHH6jK6DPHBML08PTBgj2Ymwt1vXyy4A+i8ADP4gBlx09OHLpN0Gbt7SA+TWdd3ukus8\nQHZEIksqgfmbXrzc0MEKOV9wWcbAdKk+Q1pKMDlBuJsLJLBgQxQAyLiHioUPQsobFuh5JInQUdMy\nRKhCvZoN9qkoxKwB7jOFeIeIPkAulQQTE7qBVmaJpvGEoUhRI9w3HzHw0A0lVNIqo6x3aFgvoT0U\nXFTqJSw+oHPcS0uE+77AsxZ2GZog74VHlvzfvDMQeV9/F9BstnH2LJEqPKpLFVbmjUTFuePqZplf\n5cf02+fqk5EOrdedt1/IGM1GG+fI4LGh4+fU7eVlfdopAAibq7CXELMN7VBRKPoAud0Gbt/WO0Vb\nN/XsW+m2Pkqys5PQLywpFx8EnToTWAd5N65VgKK51sSFp3Se5jwZdiMXjCa9+/Vmqd6VeSuGdMQO\nEaDEmqUrJCNXIXYK8IREvwXBQG/S7fr0+SqVE8zO6AmG8pLeVCqLBsUiq/6JPv0+Ykf0AXKz1caZ\ny3rAO3Zc7y6tTOsZDQDAxLfUzRJaBzkrmKoYhQ5yLAj67rqm270MGMNufCR/YvheQ1IsQivI9GMw\nR1AqJZid0bmb5Zkx/SCjwz/ouPTQdAmP7G3Be+8NCIA0Jc86W7RZ71EfGlpIZEkVKnSQ40OlnGD/\nvP7iH3/xPnW77DPK06uH9R1DRFsWAG556Mv2G6wHMWSFvA9fNCKCWlV3sjJA6BIWjYJVQWJAyNKw\n9z2EvNb27bEfg6XGehvPHteHexya00vT1aVj/IRzRL1lifhnICylLaKXcK7oQ1u10Gw5XLigJ9zq\np3Q7Lp3W6UAAgCWiKGQh5JRE8zoR2H7QSnrgHpItIPoAudFo49RpPUAd+prOcRuqGqW9cTLCd9ZD\nQ9Ycn7v902W36ozg5bCHHLM13nTwqVPq9toUDy5kgdjqrL5gDI5ebXDaQzYXGpIAtZru1NIBvUdE\n6sYir65Ti/bUd+TTj+Klvb+HPtNNUColmCSVkHTfon7QYkZ+tVcRs33tMNaJPkAGgCZrRCYjI0G6\n/DsHEZ6mzxQyCyGHFfi+NGh5OiMd5CJLAwBIE8HwkJ71LY2RzulhEkAAQN2gUjD0Ks+Xi517HFPA\nF2maYGxUD4RLoyQQtlQsWIUkhsV7aGT1N2WWretdtNsOazcb6r6hK2SI2HUiqwkAWTXp5a18sUex\naYAsIjUAfwqg2v39Tzrnfl5EJgD8NoBVAEcBvM45d6l7zLsBvBFAC8DbnXOf7W5/CYCPAKgD+AyA\nd7hN6pGlUoK5Kd2ZDj9PL9PhIB+yQJ02G98LADcMTdoC0TvTvG24XC9h/n6iYjFBmvSs4MKy1W3C\nunXafhKaPxaD/fgEF9uVUdrhn5mnHTfWW5RiMTCjl6br89/gfwyZsif77uPHZDYVrxg7vlvI2xd3\nKtK6GsvQM4QqNH+U/z1H7td3OEMarleD0JD3HXPWeQO2kkFeA/C3nHPXRaQM4PMi8iiAfwDgj51z\n7xeRdwF4F4B3isj9AF4P4AEACwD+SESOOOdaAD4E4E0AvoiOQb8awKPWxRvNNk6d1w165C+e1bcz\nEj4AqRLDneRSLlGj3xwzfQh39HfmasNrNxs4+pWT6r79xFYri7ptA6AScDK5wI/J207yvj6wSfWm\nJ6QUc7PjJBUMDuqvizKrgoyM8L9kiGTegttJzk1UsSP7jH2uvtiUjZ3R7VUmjYbSkP0goVWnerQa\nQ9c4OfjvTQPk7orsTuqg3P3nALwGwCu72z8K4HMA3tnd/gnn3BqAp0XkSQAvFZGjAEacc18AABH5\nGIDXYjODTgRjQzqnuMoksiYn+Qmn5/XtVlbuvB7c9KyTjWFQSIar6LxtuFxOMEemN1UWdVuVOSPY\nHSGKK1kNWQgNn/s2aUK9+WLYDHnacZoIRkd0P1w6QBruxrkflnGi/72XYAUwIdURInoe8vbFFt1N\nhgl1bchY6EX02W4ZWcYtvShxuAFb4iCLSArgywAOAfhV59wXRWTWOXenw+g0gDsebxHAFzYcfry7\nrdH9+e7tm1zcmErKd/DzsYl5WWm7mmoQ7B4yzG5lNU4yY+RpwyKClGjFUmmhMm80pfzN0FreDDF8\nr1Hcw3YbqXZ+z3nZcbPpcO683v0/+rgunVm1Mshn9CZUmTNUAfKW1PJFLwYJuxj45emL142G6f3H\n9CpyZY409gOQA0c2u+RzEbu9bhcxLxJ2SHfbUoDcLWe8UETGAPy+iDx4134nIsG+dRF5M4A3A8Bs\nkuLc1XX198ZPXFa3lw0d5IRM2ZPpiDMavqUSZhwZaZvHhDxteL6U4tQJvdFj35w+EKQyZ0hkTen6\nsjJlUSwCdsUbYOUxyVTmzUfzOXCD7C4hSzveaMML5RJGhkkGeUyvjsgwD5BljHPscwcdTx1xINBD\nyNMXL5RKqNf0sCcdImosg0ZTdEqSV8G1ubOxvX6UqNwJtqVi4Zy7LCJ/gg7X54yIzDvnTonIPIA7\nb/oTADbqUC11t53o/nz3du06DwN4GACeV6+5JdKkN3avTpdIDvMmPZknjX0ThHoBAGcNPmiBbMj7\ngZ7bPGz4RUN1RykWB0l5etWy4VV9R0NfSHojo6Da62XSE5Th3UMWdrzRhl84VHejo3qAnA7rtm12\n+NcIbzkrmlAM0yBjQI4BUS6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F5OmLH6xWXZLqS2ghvth8//pQggr0DLaiYiEAPgzg6865\nD2zYPt/lEwHADwP4avfnTwH4uIh8AB1S/WEAX3LOtUTkqoi8DJ2SyhsAfHCz67fbDtev640bE1f0\nkl/12jV+wkukkWmaqFv4IovhGQW2hLxt2BKnT0cIV23QKOvVyb4Yhsb0Hfjnw4KV3SJX5WnHzWYb\nZ4iKxQjRo0+tYTez+rRTV+d8T2G0zqx0kLNE3tnEXQqc8/bFpVKCqUmdSsGreQv8hKypNM2Ig5yl\nvGAPcNxDYysZ5FcA+AkAfykiX+luew+AHxORF6LzBjkK4C0A4Jx7XEQeAfA1dDpW39btOAWAt+I7\nsiyPYhNCfed8VO4Yju7weKn16krQ5KqSfUwZoH+Rqw2nqWB8XG80LS8RBYARo2mUNZT6DFmwwByi\nZXOMsmGOFrUcb0Bb9Rlv6oPdGxSSmx1XKykOHtDtrn6A2PB9BsVigQwKKRlym3m/oH2vn1Wwm3dQ\nvTXk6otbLYerRJN++IKuSV++wCvIXhJwWWmuU/8duSY97Qex1JNyGjXtnPs89KTIZ4xjHgLwkLL9\nMQAPbucGy+UEszP6aoyt+DA1Rc8n04R+4TVcwCNQ6FWYf2t2t+GDvG240WjjxAnifP/yaXV73Rhv\nKhPEvhdWt3Nbu4MYeKIupNxCPEFHnnbcbDlcuqT3gtSu3Va3y1ljAhmTxxoIrDlbICrk7YsdHBpN\n3Xe018jwmnVDerDl0fzMEEPzXgz34INd8tPRT9JrNNo4dVov7dXremmvNGYoUpBR01I3jslK/2+X\nVkHbQla8YZ/sZI+iVEowPa0v8morpMlj1qD8zBGpQmtRFtKRF9hzaDXbuHBRD4QnT+sqP6VzRu/G\neb3xSdgYdQsxDM/o1cBij6GU8kl61WU98SBLRm9HiYRQES2sdx0xv7N3mC2PPkAulQSThDNUniHB\n7qQh7M0m6VkqFlcv830MBR+0//6eXQCjCYkpVagHKkg9Rk23PWgZwQXo49WJNZuiYihhZoRKJcXK\n8jYHhSyThRwArOpybm6N6MoCkLpHAiHml7dP81xolYE+tFULzZbD5St6RnjojP6er5w+Sc8nK/v1\nHTqjroNiMdUziD5AbreBtTU9+0VLImtE6xgAmAOu6EF4FCgCzZ7G+noLzx7XKRb1obPq9sFRY8E2\nOq5vf8HL+THXPRZ5IZHhSyF4p38BNFs8gzx4VpfbrF7UK3wAIGf1Jj0s8Ol7PYtetK1evOctoNP0\nr8cNzYtE/u2KMSgs796lLGODPbaYAnogQG622jhzmTjmk7pjLg3z0l6ZTMUxdZBjnopjgT48EXd9\n77KGbB7oZN90+xq4l8gL7iNNTACwTIKIm4Z6S1bIKmNnOesImEr9hlbL4fI1PbCYJ81NVoCMS7rs\nIaYNxQAE5Cf3qk6thT4NakOiXE6wMK/TKQeOED3vI/fwE7ZDcpAD2xez1xjsxHpPsM8hB58ffYBc\nShPMjunZ3dFlvUmvfJDPR5dDxNiniLYsAFwngUfewWSW9xDD39rDoJP0GMWCjOIF4OeUQ2ZVQ/Po\nQw8e8bpOyGMieAEFRqWcYN+iLi9YP0h85+oqP+EKWeSVjUpeVpQfH/Thd96PaLcdbt3S/Wfjkp5B\nLp/Tq3wAIPuMMdQMMfuUPUSf2wqiD5BbrTaukEl642f1wLV8nHdPpyyDXDMcszXCl4GtkPox81VM\n3zFhjekdOKbrcg9MEhoFAJwl+rI+zrofkZVTjj2jGBBtB9y+rQcWrZs6pzO9xfnEuKU3XmOUKxBl\nhph5y6Ftbo8F9s1mG2cu6HY5TvS8yzNczxszRBWrYpGQ+wwxv8t3aN/RB8gAwPJl7RbJylnfF+vm\ntzJ2rFO1gI095nwZKtUUqwf0asfAfXq1QxYX+Qn3HQ5xWx3EUIGIQC6R6qMXNgyg42uvEe7m9FUS\nCF/VKXAAgOtkn08ywkLUL++8dbn3HsrlBEtz26yErBgqFr1KvyywJUQf+ZVKCWaILMvwqi6RVbrv\nED2fzJPAg43vBYArBpcuJHyUBrK6h9yvH/GLbhM0m22cP0PKdyd126pMXqLnk3Okq3rSkIajn6sR\ngFKKRUYvdl/kzb3rQx59uZJgiVEs2KCQA9wPY5b44SZpvAZ4Vi6ikfa5XquY3rop0kQwOEimmg7r\n3GQZ1tWygsOrEtujk/QsRFTBiT5AbjTbOEVKItUn9Wa8ifSv6PnKpOwnVubC0khmiNnBxHxvfYh2\n2+HmTf3F37pGsm83SQkaAG4QTvzE9DbvrAdAg02LBx0wC+kj89aH6Ewg02148LJuqyVrAtk86RMZ\nJMOfYsAe+r77FdbAmyqTeZvVNbsBQOr6otFE3rxc32peSATnYec0SS9vlFLB1KieORiZ1TmX5TmD\nv8mm7I0Zx7B561m9pC2YWprECK2RxD7XKWCiUkmxvE/PQtQP6llfk2KxRLQ3E8NJhOy29oGPnWaJ\nwljDTpkAACAASURBVL5NtNsON28ReawrJEC+oVdNAHCKxaSRQY4ZMdhwgU2RpoKxMT2eKE+S/qQJ\nMsypc8IQt9W/yOq52KV+kOgDZKDjnDU4wkE2+cTsC7OOCYkcVkHbQi+WAyNHs9nGpQu6VGHlvJ4N\nrlzmusXCKD+TpGEEAByxb5/ANXobDjlkIeQxvWvz1YEy9r9YX7TRgU2rZCEHcIqFlVjweQnG3ECc\nuz1iT/lhoMOlv3pNT3jVSSWkfNmgu42RoWQ+n2uvNv3GnFzYofJN9AFyo+VwmqhY1E7qwUVSL9Pz\n1eqEVF81VCymjcCjgJ9uIUOvOgkDIp3mEA1JmTyCZW7DqBIbjsFRhb6HiPhoexnrtxo49hWd+758\nv774qk09Tc9HdedXDN4yQ8yyWb7I+/769Llbb7bx7Fk9EB54UpdzGx82YoMBwlteNBr7+vAd16+I\nPkAup4KFcd1Ap1ZG1e21w7w8TUW/57h2MpUkshBSiD4jtkaB3UGaCIaG9IA3HdLLfTJocNsSQpHJ\nii+bpVYm01W27sGHQsQQe0NiRnBtYH1d/57atwkt4jYZiQ4A62TaaRLxK8n3+86bc1rg2yilgqlh\nffrdwByphMzyBn4ZI/SLrCiWwWX/IvBpMdxDFxF7ow6s0ZC3L+mBa+U8L0+np3VNQ5Nsn7emYfCA\nJB4D3AtYW2/hqW/p40oPprojHaryEaZSItnlg/fym/CRKgyZRcq029qjrBbwReM16jpylMoJ5mbJ\nBLIXE9nBeTIlEoB8z99Ut7srui54Z2fkXf4FooeIoFYlKhZDJFNMssQAAGt+Qt6glV3PZyJv6cGs\nBkptQPQBsg8yez9ZL1WW5cvyHtiDkFg8P48BJz5g14mAwhoapTTB5KTuSKvzpGufNZMCwDSRc7MW\ncqxJL/ZgLu/769NS83bRbLZx7hwZdvPnT6nb60Ym3z32J/qOVWOsL5OcjSEIzltCsMCW0Gi2cfK8\nnlgbJBSLsUHuV5OKnsiQfQf5TfjYSlYZ6dDocXvdNEAWkWUAHwMwi06XycPOuX8uIhMAfhvAKoCj\nAF7nnLvUPebdAN6IzoyPtzvnPtvd/hIAH0HH1X0GwDvcJumWUinB9LTuGYeJsHdpvzFqeopIYQ0R\nThwArBMVCwtUi9UqDW//Mn2HXXjR5G3DaSoYHdEdKeucNrMWgx66nMwefRYkoZt+evWZyDgwy9uO\n6e6sMvYhX7bW9TP6Xs2PO2RCIiKpwrxtOE0EIzU97KmN6XFGMsb9rczwKklPIuamVh/s8N62kkFu\nAvhZ59yficgwgC+LyB8C+C8A/LFz7v0i8i4A7wLwThG5H8DrATwAYAHAH4nIEedcC8CHALwJwBfR\nMehXA3jUuvhao42nT11X97XbJ9Tt09c59616RF89mu/hcUPmpQBHDJmdDvK14bUWnvqWLmt1SJ5R\nt5tDo0nWAi/4PuMgD5WWmAcPeHH8rcDeQzN0u+faOXKz40o1xcpBXQqzwqogCwv8L5kj+/pxamkv\nNmXtXtCTqy+ulBMsLenedeBe0rs0ZzTpsypJaB8Qz7t0T2FTb+ScOwXgVPfnayLydQCLAF4D4JXd\nX/sogM8BeGd3+yecc2sAnhaRJwG8VESOAhhxzn0BAETkYwBei00MupwKZkb0EsfEjG7o1SUivQIA\nM4RwP2s4c6aD3I/wkqeJ++HN3YYrKZ9Cxsabrq7yE64c0Le3MpIqzBLFi+HbyNOO12+3cPRJXe5q\nP+HRD0zqiz8AtGKXvPhV9BB34kmyoxjZDKAnAvG8ffF6o42Tp3R97pUndJWWetWgro3oQgGwjsl7\nPkHMGV8gqudsW8t1EVkF8CJ0VmyzXWMHgNPolEyAjrF/YcNhx7vbGt2f796+KRLG5/Xh+TIjLPOm\nqMwGhdAsVuA6c8wB7Q51CzdDHjZsybyBBBcmT7zGyJgGvLSBCf/C5N4HbqRiKha+5wt5Ljoafndt\nGMjPF+822k9/le4Ty0fnjR4ITmNDXr6YxhPMF1vDQCoBm/RCK/OEDoSDNm0HTsRZ78sdYMsBsogM\nAfhdAP/YOXdVNnxhzjknIsG+DRF5M4A3A8BskuLUZZ0yUS7pZesZ0qUKADVSnnasbA1ArOwyg09A\nkncwkOV1cljF5mXDc2mKY8/oNKEDFb0xZGjAyEAwWz1gNDj5KLGE/M5DL8r6MXOyRWRlxxtteLFS\nwgzpBRm4h/AwDRULKqvZMibphQyQY8hSZaXKYT17OQX2efnipUqZqrHUlgmVctKgWLJgu1cXTKED\n15iTcVvAlgJkESmjY8y/6Zz7ve7mMyIy75w7JSLzAO686U8AWN5w+FJ324nuz3dvfw6ccw8DeBgA\nnlevuZUp3aCn9+ucuNpBgzO0X5/uZHad3ta7t6OHTyknhhfHLiBPG37RUN3tX9VLyoMPkKTHIWNg\nwr3P17cz+TcAaBYjfL2uE9nzkKUdb7ThB6pVd4FMgxx8QpfOHLAksEZ13y33vZQfc1lfTAZHDN95\n3vewi9fP0xc/UK26EycIxWJQt6+BQaNhmjX3m4pCHupSBfywwwB9KyoWAuDDAL7unPvAhl2fAvCT\nAN7f/e8fbNj+cRH5ADqk+sMAvuSca4nIVRF5GTollTcA+OBm12+3HW7c0F/u42Q0ZOuq/gAAQHpF\n16PFNT0bDaA/G0eyQGhFA0/kbcMOQJOMRXcNXX5NGkZAyxZsdcPBxszFDK1ikXemeJeCizztWKSj\nhawhqfhMg9QDCHf2WX4MyyD70GB84JsV7NUq3y4gd1/sOjxkDV4Db0ImHqxgzqJ59Bvy9t8bsJXI\n7xUAfgLAX4rIV7rb3oOOIT8iIm8EcAzA6wDAOfe4iDwC4GvodKy+rdtxCgBvxXdkWR7FJoT6zvl4\ncMGDDsPQmqSRqUV0YgG/ADmiL/k5iPnedge52nCz2QbLvtVO6o1P9TEjWzauN5NgeZUfwzjxoRuc\nYrat0LSM7P/W3Oy4XE4xv6hny6oreglaDpIBIgCwuE/f3iAT9oCwFIsCeSFXX1ypJFhe1pv7KcVi\nlujOA8Ag0RsKrVvsJaXoQfMMLeEZEjlcfysqFp8Hz+OoLcfOuYcAPKRsfwzAg9u5wTQVjI3q2Yba\npK4MUJqydAuJagAbvgAAV8lkvqwm3GXJZ8pbn3QXkLcNV+plrLxA52NWFklwccCg/DAVi8TIMljc\nzizgq8XKGlRjkI3LGHnacaPRwumT19R9iyMX1e210W/S8wlLOuw3ePS9Oi6dwcvXxm+nFvL2xY1G\nG2fP6pXn6rBeRS7N6EkMAHyg0xBRtwDCqljEjtDT/Bh2iescPXdgvdnGsXM6ZaJNHMxMi39YdZZB\nvsV5xjIbUAzccopeQxty5mh6n499R/1XSmrebuLsN/SM8DSxh+oQLzXLAMlarBoZu5ABcuQLotxH\nZMf++XggSQSDAzplojRMVFUG9QQGAM7dDN2tv5eapXzO1eMB93bRajtcIZTNyUskcL7I6ZeMsimT\nJBFnoVf9Rsz3ncGgkFxRTgWzRAd5alZ3wLV9xpjeJb17WlhWDuBjelmwDcTheNg9xDy2sse7XjW0\nHbC+rv9dbp3YkDW9kckOMjv1RVZd9ub5Ih5WsofGpaelFCMzpGI3pjcxyeKyuh0AnwZp+aasgt3Q\nDZu9mMSIOejZAarlBPsW9ATDyH49bkiXeNO/zEehjlhglxB9gAxn0W8IB9nIINPmpxt6+RCAn+5s\nzMisaaQ/nex2US4nmJnTg4vyDAkUWOkOAKZIdsLi0VNtXg/ZwdCBcwxVle1qGu8xrK818eyTOpWC\nhcEDla+QPYCskcYnS6qw2md+uEDmaLUcrlzVEwzDV/QMcuUGb/rHOuHMWzFDyMRV6D6RGN7ZMSQX\nu4g+QG60HU5d1Y2wdFo3qLnSeXq+OhMDNxrx6CqxH7uTIzLOfsHaWhNPfZNMISMqFkPGEBzmRmW/\nQbFgJe1ehU+lIffnNYKXjydKqWB8TK/klScI5cfSjx0j005D63V7DcjxQFYjyWMIYHoYjbbDGRJP\nDJzSk2SlER5PVIb1aZFyD3kmAIODzA/xQgw8e3qu0M9LzoNC8kIlTbBvUl+NzazoRPiBIwZnmOkg\nL67wY9iXectYWdJzeTQk+QwQCY3g5WnmJPrvBZAkgqEhnb9ZHtG1YpNhzt+UYRLsWkFwVtmJ0Mh7\nwRZzV3eGkERQruh+SJjMmyVNxRpKY6Z/9SoKG/42KmmCZRJPTO3XF22VA3xQmNxzv77Dsn3Gs/eZ\naho78vbfO0T0AXLbOdy+rWfZmtf1lWCT6CMDQOkyUaQY5soXGPTIvmXGl4vAAGO4h4hRrpQwv29M\n3Vc7QOgSlrQQ6/S3Rq8z+oUPvcE6xmfMcugXQ8jMXFaZwcixttbCk0/rzUoHiNym0cePEqkAiBVY\nzBtJjCzgG0z6VDvy7sXoQxsGgLQkmJjQkxKlMZKUYAkJgPeDlIzhIj4qFlnZQwx9JyFBK0hbe5aj\nD5DhOp2n6i6flxoLFCz+Zq9OuMlbsi1vJx8J1teaePYpnb+5RPjyg4azZGPR5Xkv4TdhNZT2IvpN\nozlypKlgfES3u4Ep0rw3o0/LAwCZJBz7WTKCGuBZZx8/Zx0T8wvfQuFvN0Wj0caJE9fVfSukElIa\n5hMh3YieWJOsNLt7cfG1GSLy09EHyGkqGB3Vja0ysX0dZEwQ7tuBI/yYi4SDVDTwhMcOV3wxolxO\nMDerZxTqB6b1g+aMzmlGB4qZc2ZeJ2KZrqymtEWONE0wRvxwdZEEwmN61QQAMEHs3lJiER9+csSV\nPJ97iz24iRyVaop9h/QYoLpCYgPLFw+QrLPP5Lte9d9Zwfx89qgO8lqzjadP61zftTXdmc7d4BJZ\ntWs6/SK9rq8qAUBWyNQnCz6B3h7i5e4lHWTXdtRW69f0bv6KNd70JuG+s8an0IihKcpC3oEHrWyF\nu0TWWF9v4elndR/pnK7ZPX6La29TikXLqHQceT7fV4DDZ9pan6LVaOPiWd2Op4f0BVg6bShcsYSb\n9bmyfTFUqs3KSsBKTY8E79EHyOVUMD+mlzjmFnRuUI1l5QCkyzrhXpYMfhsbzHDdeHCyQlYSWXvM\nkYbEWqONJ4/rTnlfU/+8p5g+MoAqoQMJ48MBwH6jQtKLyIgrR2lcewylUoK5Kb25aXhRZxuXljmP\nXub0Rmq590X0GMcktbJ62fr6wF6kA+V9/V3CWrONo2e211w/bfR2VElQa1IsqqQSEkOA7IO8q3wW\ndnhv0QfIgKF3TByWaxqOjHEx142MnTMkW3oRoV8oPo1Z2z1XD6NaTnBwUbehyfv1QKG0anRO7ydj\nqOcN/uZtMinS0utsE4edZSmQKbv4ni8ktr2Y7F3bTgSoVEgwUCIrcQ8VC3fuBD9mxKNC4lPR6FUf\n1KdBbUhYCbeJeT3hVl3hCTcsED/NkmoAV2qxFmDsUerFxddmiCi7HH2AvN5yOH5FD17ZqOl5I0Ae\nIE1RrOQHAMIM2lolxmCEPoZWZIqDw4E3mrbXSBmaDbQBeOf0qKE7e+kc3xcSIdUgQsOnfBiRs84T\ntxttfPOEXjFbJf522hjYVCX2LRYH+ciD+vYIbMur0pAVb7mw4W8jTROMkmZTyqU/wKfsSp2oVfiM\nTLcQM5e+jxF9gFwrJ7hvUW+6GyUrvtoKDxRkXifcy6KRfasTIr6PDrIVgLIu7X402qzE0iPAeqON\nZwmPnmHSCOZYq5JYTnmODbvJvvHhuZcx7oHx72OYBtWPzyWBV+ZtlUgYAsAS8bezvHKCOpHbYtQL\nBKbIRBCIB0c//k0GGo0WTpzUfXFaOqVuHyYyhgBQOqT3J8nKKr8JRrEIPewidCUkZPLMS3nGip32\n6KCQZqON02e4rrEGYdPyANRIOdBRowVk2uPDDzrpyyhV5l1ODn6d/gs6qpUUh1b0Rd4YoVik+9kA\nX6NpdM5Y5IWUedtLVYa8pRIjQamUYGqS6MeOkizaKFdCFjbUZtSgUbSMqsp2keV31Ivasnlff5eQ\npgmdCFmf0mkRpUlDFYvZuI+KRa+ij5V+og+QHXgWoM24yZkFcz36Iswq+9bjD0coOOewtk6G3RAV\ni/SGkXG+QRRXLKdsNfCFRAwqFgx97Mh3G7fXWvjat66o+1Zu6IuvqSanS1SJSous8WwwDt3H9/Ui\nQgfOhQ1viiQRDA7qU03pQm+I84mlrJ8rs4mQwW0ogpgmZOZ7h89E9AFyyVjxjU7qBl2ZNWY4Ter0\nCyGC3wB4I9NNLg1XoMAdtFoO167pAerIBd2GyhN6MAIAyai+T5heNwAwrpyFrPjEPk16WQUKPi+T\nPgxUKqUEyzO6DU0d0od+VA8ajaYHSKPpPc/jN1EjNnxVH8IDILvsbczfeQxBTyRorLfwLFEUYom1\nUYNLX2ZyhWaTHrHjmG0oBuQgV7hpgCwi/xeAHwJw1jn3YHfbewG8CcCdzp/3OOc+0933bgBvBNAC\n8Hbn3Ge7218C4CMA6gA+A+Adbgup3tvNFp44p2fTrl7TS25zl0nHPoCR83qjSW3FcLKLOn9T5gy+\nHFMN8IHviipmWgQ9ZneUE/K040olxdKKvmgbfD6RF1w2KBYLZN+IMZihScrT1ncXMgsSgzKAT+Uk\nouAiV18sneybussacc7gM26X0YRC8xkZYtfy9roO+Zt26XnNO56QRFAlaiy1mh4OJXWSJe4cpG8v\nGcewqb0+z5GFmLPLPbIY2EoG+SMA/iWAj921/Vecc7+0cYOI3A/g9QAeALAA4I9E5IhzrgXgQ+g8\nBF9Ex6BfDeDRzS5eSRMsEwHvuXm9eW5wiY84rSwTyRYm1wJA2JS9C2fpMV7waVwL3dXcI4brgY8g\nJztutdq4cklfMKVHdRuqGXQJOmp60MpaZCSXxl6sFiUv9CS9rILx7J+VjyAnG15rtPHNk3rmbZ0M\nwZm9zqUz67dIAoENwQEg+w/rOyy7j31htvfwEeQYT5RKCWZIJaQ8o1eR0wmDSz9tNKLGitDPRAwN\n07uETQNk59yfisjqFs/3GgCfcM6tAXhaRJ4E8FIROQpgxDn3BQAQkY8BeC22YNDd39/i5bcAljlg\nqzoAuEbK3XupWckHMbycusjTjgVAKSXZN6YhW+KPprB9TAUF4CN8re+IZTRiWERlJqsVUIprh49D\nnjZcLSc4vKAHohP79IRE7QhvGpV9pNF03yF+E6yBr1epbqE1bHsgGMk7nmg02lTFguj8IKlwX1wm\nzf3CVFoAPmbdZ7JXRO/YYAhKkdtZZXAnHOSfEZE3AHgMwM865y6hY2Nf2PA7x7vbGt2f796uQkTe\nDODNADCdJDhGGpnWG/oHOUsyGgAwckvngtbWjCamdX2fjPNMNS2xmF/+Hup8Zcg++NoVO95ow8u1\nCoYm9WpHaZTw2y1O/BDJaBhKLLi1PSUYb8TQpNdvHNLNses2vFgpoVLe5qAQS3qJ7bN0kFmiJDM9\n4cCVjqzQG7adSTwxm6RYI7rdrJG6TWKGzkF6U6kjMQMACKVYBFar6rdBXeZnEJfM24cAvA+dnMj7\nAPwygJ8KdVPOuYcBPAwAz6vX3L0zeuZial7fXlvmUkHpoj7+VOZ1uS0AwBAJVtaM6XuWo98usnRw\nWT0g7DqheVg2ds2ON9rw/ZWqe/JregPdIuHLD1/n3fyVazqPXq5e4jdkZeYYQk5INK9j8aBzFsb2\nmbiWZDpJLxMbvqdccY8fu6r+3jLrBbnC+zDqV4kNE9sGAFkljX2DRDIOyC6wsOBTacyqOhlHo2lm\n8cQLBmpu36KerBg/oscG5VUjNiBxg1j9IIw+F/tChiY/+lcK0ytAds6dufOziPwagE93//cEgI0d\nREvdbSe6P9+9fVO02w631/TmjPWb+iqtRDLOAJBeJx2sV3XnDwBijeNl8GlC8YHlSH0aMHyS2D1i\n7HcjKzsulQQz07oNDc7ri6/Kkq4MAACY1R05ZmkShTfpGVSOoE16WSpfMHhN0ovbtrOy4Volxf1E\ny3tkSQ8Gqvev8hPOkYFNbFoe0H9qQqEbBXuU8pdlPNFqO1y5qscNAyf1BIPVpJeyql2VNO8BwAAZ\nPOaD2KUC816g5iHzJiLzzrk7Y2d+GMBXuz9/CsDHReQD6JDqDwP4knOuJSJXReRl6JDq3wDgg1u6\nFrbPQTa7qn0CVBYoOI/hCz5SJVmKjjOD8gmWQgcxgZGVHYsIyqQ8ndTJuHKLLsGC2nFj1PTVy3wf\nA11gBe50Ds2rzFsBIMOgOisbdm2u5d1eJ37QyAZjjGTYrhhqQiWPhqiQGdIeDUCjLpsj23ii2XK4\nSCQ365eIJv1ZnjyrD+qBsBvgspoyTChyVrKiQC7YiszbbwF4JYApETkO4OcBvFJEXohOSeQogLcA\ngHPucRF5BMDXADQBvK3bcQoAb8V3ZFkexRYb9NJUMDaqBxG1MT2jkI4YGV9muIPGqo4ZblbDF/oR\nIQPxLSBPO7693sLXj+mNnvNXdCrF3BnulGv7dbpGepEHF7J6QN9hLb4qRpCeN7wm3PV2UJSrDTfa\n+MYpPVO7SCgWi1cNisVlnRNfIhU+wJggOa1nowEA7YATJC2ElsfKapHF7HuXrp93PFGrprj3gB6g\nDuzTq3bleWO6I1G/MiVgGf8+hipbzDAbynPSQXbO/Ziy+cPG7z8E4CFl+2MAjPqZjtuNNp44rmci\nZq7oAerURd6QNHhJ72CtGtkOx0ra1ihVlqn2mRkew4OT2Ujr3eFv5mnH1XKCQws6T3JsSbeh2gFi\ncwDVSJZ5o3Oa6XWWSQYbCEs78C3rtTOSp8u7FLily+Vnw7VygntIz8ckseH6ESNIYNxNxjMGgEmS\nQbY055OIs3IxB867hLzjiVbL4fJlPW4oD+gxQEpkZgEgYQs6K7nA9LyzqhT7VuxYgGolEbLqY9kl\nROw9OqikCZYm9Izw5KT+0q8uGDrIC2Q1aDTpyT6SfbtkTC5jnaqWMcXA/w3Jne6Rh2C3kaYJhkZ1\nh5kOkcDVGm/Kgl3LwWbWfBlx1iKrgKTfMjfoLE9bTf2zcIx6cZP3giSsy98KdllgYb7wPTKkEVBn\nvBBHw13UWG+2cfS8nkBbb+h2PL9G+jcA1Ijtl5itApBlMhyKiQFYiN0mfRDSXnf43os+QG61Ha5d\n1w2UTb5Jr/AMcjqgZ8zSOudouspxdbtYZHtLV5leKHT3dMQPT1ZNjBHg9u0mvvENnf4wf1kPIsYN\nG65d1m1VFo1G0wWSXTa5zj5ShQQ+DXLWPh91CQs001EEFwCw1mjhm+f0bNn1G7p/XrjBlVgGCf2i\nYlAsGI9ellb5Maw5NTT6LVDpU7u39LwnD5KR6fsNCs+EnnCj/hbgVbvQGeSsJkxmBdPnxyXzlhnW\n220cu6k72lun9CB06hZfvU0Tp10lihgAULmpByuUegFAJkjDVFYO24JP9sTSGQzadbo7QxbyRK2a\n4p5DelNS/aBeNk5XjSELU0ThwuJiMo1Nc7hI/LSDbSG089+uSkzMn80mqFVS3LegZ7gmCH2ofsiw\nR6Zisd+QIzxwr7793Cl9O8CDjiwDAR9t8Kz0xHvYJn3QbjvcvKnHByPnCcVigCcRSmWSRLCUVdjA\nm7yl/WI5X0SIPkCul1I8SHSQJyYIxWKWlyoo/cIKdpd0zqc1fMF5NPDR3KmPlFuBaNBuO9wgWbbS\nBd2RJoPn+AmJUzblCC2FiyzgK0/FAnivRZ6BXi2rZwTngCYZzNQmZeYWSWwAQEoGLOCGoXxxzUOJ\nJSRi97WFDW+K2802nrig9yFdI+oW80QWDgBGL+n+u2bJxrLGvoNH6DG0Ip3lgimkX/XhLeeA6APk\nZquN85e5o9Vg9JzSEr7Vr+/IlymzRobEi2LBlB0ylHljxunFj+4/zU4fNJoO587rVIqESRIaUoU1\n0ujpDHqKVAhveYBznSnn06RLRKCjSc8VmE+87UEhvYu1ZhtPn9cDC6ZTP3+bV8vqpGJXvm0MXyIJ\nCTl8Pz1EpvVKjDt5jF/HB7EHz9tFREFKSNRKCe6Z0qmRs3P69toK16QvrZAYwEq4zZB+JytmyFLq\ntRex7YrL7o+azgzMNFhwkZS5MQnbZ2kQsn0WXSIGjq3P6o1m7PrsBZAhavUSDj6fUCmIDnJln6Fi\nsaI3eZjTm1hjn9FMkhliKPkVWTYT9XKC+5bIoBBCvagfMiaQTU+rm+UwoVH8/+y9e7hlWVUf+htr\nrb3P+/2oOvXoquoXTXepjSCiUdNREeSaQDBi58bAl4u0CSZ6H8kFknujkYsf5iZoRNT0NQaIIrQo\n2pfQEuGKhIQGGuXV0GA/quh6P06dU8/z2HvP+8feBaer52+cs8aZe62195m/7ztfV6+151xzrz3W\nWGOO8RtjAMA4if6t8sQ+dyq/IeyKygUxVQyoQEWjHkaaJpgY9+vc2qyfKpQt8Ogb7cCrNQqxOM8s\nMNWxr3KFK0X2u2RXVd5ATlPB6Kg/pDwy4j+ulWVJR1jnG8WHTELazLPcPlkALzf0dQBF2CtQgqZH\nsXqtgSe/eMZ7jnXYG2PNFwAMXCMGgVaJhUU71DrIRMkXWRItZGZ+6HXvoJB2qwVcI7kdI6QteuM8\np0tkQ365d6dP0DHCaqRrujskqu5VjYmmm2JtrYmnj/lpEfNr/vs0dZlHNQYv+OvbJ3t4dFmYd3na\nv2lsDyKyX6RMhnQ8hKZydAmVN5BXGi18ZdEf2pu56FfMM2e5R2HmlF9pj87520wCQH3Xee/xdF4h\nc7AayUr5Lu515kNMKKwIfYGGfYXRcg5rhKe5xnid13h0onXNH55OlfC0I+WzJLQ3I3hZNMPGLCR9\np0LKukysNlt46ryf4sAM5/mrXIZHr/hllW7+ADiSLK3W/x4h+ShVoAJV2lvXn3Jfr6e4ab/fUzy6\n3x+hGNjPKRbY55c9GVNKto0QG0CNSFfAS1tl5DXEt/g1K28g15MEh4b9niyWpDdJ6iYDQH23+Su4\ngQAAIABJREFU33Ct7VLC06xqgNZ9j6FXy5hV3XtSYQwMpLiFdG8auskfvlPlkSV5POcuPuYy8eZp\niX0tlhhSYPkgNs7USS90Akpej13vPkPD9RTfdsgvk8PzfoNj8BYlR4PoVLnpEB8zSSgW2iZvQJHv\nolBlQ3gH6nVGoXENvxy5VZ6kJ2xDN2toix6cPlNQNZ2iZChSLJ6NRNoGhg/1mj/sIHWFg1wnX5mV\nawE4B1kLT9Os09CJQgVlsWryV4jHrncVebPhsLjo95jNZjxywVBjSXqKbNHWp1pr76ahJCGTBc0R\nrLYQzb8EmwEfkPNJQ935p6oKmk2HiySbv173e3bXT/OqEzWiU90gL9lGVdDQMB1DN3lFtSovEnnL\nDu5ArKw18dWv+ytMzJNiAPNnOVVoiJSGq59TmogRigVtSAYUlxsUmjZKW5kXRE/dJipvIK81HZ5e\n9hsXrJ7hFDkOAFOELzegNGaoLfsfgmROIe/fdMB73F3100UAKMaFkf9r4m8G5Bpb2wv3GdJUME4S\nQ7JJ/8td9SBP+T1pMqGMYUkjRfGJi+QgW5JT8s6lzafVlu5RrDVbOL7o95atN/z3Yb7J790Q8dbV\nlaRRR7rvybyS0Drq924H102mZjcVTiatkJESErVUsHvSrwt3zft18cA+TqWsLZBz89yDLHNEXrVI\nSNCcpj5897L7s03nXeUN5MF6gufu9Su5MZK8V5vhPF92Lp1T+MQzxBBWkkPcFVIovOoUCyZQRa27\nDxuFOLQ9cN5zpL1p6wrnYibD/nNulXOQ5RrZmI0QAwIAHCvzFnj3X9SGzbKG0F3+ehRDAynuvNm/\nARvZ59+w1XeRPAwA2O+vLa9u8vaQevRazXnGQb7kT65qL4KELYo0GosyiPpQVjUkidAOvAmpKJQM\nKGYSizxrVbEodS3w71RUo6fC6EBa9a0d2klvdb2FJ0/6jc3JAb9wTl3ioeGJJb+nuLbMDZL6sj8k\nI9OEEwdADvnDJe4SLyBOoQitGlY3zFdY9Y0dhKurDfzlEX+4ee64X7ZnjvLw9PTsKe/x+sJxOqa+\nm8gqKbcFALJnr/+ExusM3QEsqOEa5dGKZsNhmYSgaxkxNpVNdT3zUymc4kUT1qKXcZMBIK3wKy40\nNznK96bQ7Ik5QiGaWeTR5VFCsRhY4Po7mSc5TSzXCYrsh6STbTouoMGtrcFynS71Vaiw9mhDANRZ\nc48B/66BcZMBICFGNatHCwAySDzFdT6GGsLKS4MZu5XwORdVq7YPG4gM1lI8h3SDnCFl3urzPAu6\nvodEOyytzyeVyAmjZWg0IQss9WBDIySVg36f3jVgGs0WzhMDmdWjn064l1ZSv45m/HoAcOScaN46\n1n0vNL0heFSlZFnpQz0MAKkA46QXwuiY3zYYnuA1jWuT/kT9ZEKJzI37dbtoXHpW+ULrPFmUN7gK\ntB9mV21zbZU3kLM0wSzhDM1M+w3XQcW4qM35BTeZVMqyEIFWS7YxT4glFBC6AoCGsusg9yFEgIwl\nlGbkvhID4hsT+qD93myMlpwasolI8MxpAzfYFKbsXaM2JOr1FAf2+fXd6B4/lUKjWCSzZGOm1fJm\njXA0w4J53qqAsjd/m53rQ9RqKfYs+I3a2e846D3eUmrSp9NExkmeCKA4K7SNHouEhN7IVEHfVUgm\nNzWQReS3AfwIgDPOucOdY9MA3gfgIIAjAF7lnLvQOfcmAK8F0ATwM865D3eOPx/AOwEMAfgQgJ91\nW2hZtNJo4rGz/pDIxAU/LWLyOPdwTUz4axpPTnA+MeMtZwrXOZ0hynySc+xE8UhThC65FbKlpcGI\noSV4tul9K1OOr6418RfH/N60mVOkxvcoD9HNTJ/1Hh+Z400WWHlDlXvPup1pPFGm5DPFEA/djCNk\nWE/j3hccBSlThtfXWzh12q9vZxv+oeNXODe4TlpNZyQRDwDcrP9ZkVmlwYIlNM3q0RbpqKBz9TY9\nrmx7Yn29hZOn/JSJ1f/2hPe4Wjb2ij+qUtfkmMiD7Pcn9gPQPcV5Yaa7BfRIB69D3h153YoH+Z0A\nfg3AuzcceyOAjzrn3ioib+z8/xtE5E4A9wK4C8AeAB8Rkdudc00AvwHgdQA+hbZAvxTAQ5tdfDBL\ncPuMf8c3TkIiI+NKSGTWb9SyNpMA5xrLXsLRBOAukyQ9xQClFItC21P3LfXhnShJjofrKZ6/32+g\nTsyQzOk93AORzZKIhsZhY2XetDrIzLu85n8pAOAVHCweX6BryRdBQKtYdC3R9J0oSYabzmF51W84\n1i769VOacr0lhhKdKdGdTomCUO6m5lle48muFEVGSELOVby37p0o0Z5wzqFJqqs0yUaP1UcGeJK1\nWpGCReY0I9gSCdlJzWtoYu32ysZuaiA75z4uIgdvOPxyAPd0/v0uAB8D8IbO8fc651YBPCUijwN4\noYgcATDunHsYAETk3QBegS0IdKvpcPmyXzEz7luS8Be4EP6RFtKukeuoIK1UMaj0aKfeUwUGBWdK\n7LPAklzYJYVdthwnlBaRXylTBat5LYjypQYEwDdzqhcrcPvloNxgg6FQoXBfmTI8VE/x3IP+Td7g\nmF+nDdzEoxM0NG3Z5Gldy8bIdc75W78DgJDKF1twUOZDaGOkBzpIlq2HBwZS3HzI//vWWcnNOS5f\n2RyJpinOM8o11igWLFfkIo80UlS9GkuFjHQrB3mXc+56GvIpANezg/YCeHjD5451jq13/n3jcS9E\n5D4A9wHAbJLg66t+g3di0W9ETJBsVAAYJxUuxi/wTNVh0uo6myZeYgC1Kb/XW6aU8DTjOls69gFh\n6RfMK9bb6Jocb5ThXUmKx0/4DdQp0kBkktScBYCJKb9SrM/zpKj6vJ9a5FgJQwCY9itlGVbk0dJU\npwqdnWjtZAPFothmN4XI8EKa0tD05IpfD08qdZBrhGJRJ7oeABxrpa7IsEyTMVokb5U/e3xQpby0\n1br+5ijMntiTZTi/6JexSVKKE4qDTEiUJNWSTZleZRtAAGBlYzWETg4N2YgmdPUN9huV3WraOedE\nJOgT6Jy7H8D9AHB4cMA9d9r/Qp4gzRdGCSUDAAb2+A3UdEHhsTFlqtRBpuFpS8c+a/a0JbMzJJ0j\npMeuyzo+tBxvlOG7R4fcXaSG7CCR1aG7DvLJWfhO875NEQ+E1hJ1nXAxlXrLQTnsQFjPblEvjJIM\nkm7K8HNrdbey5pe71VX/8QahZABAes1vILdWuHMjYcYza/cLcLpEXYnkWQxkC6pQqpAmtPaHDHfm\nfIYcLy+Taizk1ZemPKeJVWNhxwEgYVQhJQdJaGfeWCqwm7AayKdFZME5d1JEFgBcj1cdB7Cxmvu+\nzrHjnX/feHxTNJoOZ4lHeIV4Lq5d4+HpMVLvePAED1VkxECvkZAMoHiKtcoXzODWjGoNAekXUoVi\n4OFRiBw31ls4e5YklBKjw608TufLCI++zjxsUDjximdCJggPWqMc5aSSANgkbGyo2BEysQ+V594X\nIsP1eoqD+/15GkOT+UsVZvNEP7IoGgDZTSpcaI6KOTJmyR9RAQCZ8zsj3df5M6miMI5mzzauKcye\nGBzKcPudfkcCawhSm+H5STQfhHiJAUCYI0PrwDlP5PjYU3yMBUV1Gw1tpHep+obVQH4QwGsAvLXz\n3z/ecPw9IvI2tEn1twH4tHOuKSIXReRFaJPqXw3g7Vu5kACokZduve7fpbGSWgBQMySHJDX/bRJy\nvHMh/3Htx7cawnlRhV1iFdZQkBw3Ww7LhEdvAdtiacmcVLK0UCCZT63XOUSiN1qunRo6U8YxBKUW\nKQtg6y52k1eIDK+tNfH1p/00IUZpm1SaLw2d989VYwYHgGyZUIg0Y4RtAJmcAnBHv0rPBUVR7dLV\nNewcPQwA62tNnHza36NgcsLvwR0mrdQBXpGiprVMZ5E5rTTcecKZt0SXzY1CyqYKGZL0ut1qWkR+\nD20C/ayIHAPwc2gL8gMi8loARwG8CgCcc4+KyAMAvgygAeCnOxmnAPB6fLMsy0PYAqEeaDf9OLDX\nr8wGBvxGbW2YexRSUuEiU7zB6QQxSRRvh4k3bHlJF1XmrfSQ9rbLvJUmxwMDKW4liSEjB/z8SS1E\nV2Pet927+SJI0qhoCU6sY15RIWggbKg5dIemvJ7qbb5fypRhQeBqOmwuS3QidJUftga1TKCSVEs3\nUhWm/HSvVGGp9sRa0+HYkl9/sWIAk4pzY5xsAodmOC2jNuPn8meXeBULd5E0HlMi0sIiK6G9t4Zk\nfPWJDe3F3ga2UsXi75JTP0A+/xYAb/EcfwTA4VyrA3BlrYmHj1zwnhsjxtyoEqoYG/J/ZdZFBwBG\nRvznBpRyctmE3+DWDHHafWdY8dhpRrqmtBksD0iRzU+MKFOO19ZaOE5qc0+wpNFxLo/1ZdIufZEr\n2GzKr0jdBG/mAHKO8pkBG+9dVdhsvsAVKdi5IkssboIyZXhgMMOttxMPF7l3A/uUKhbDfm9dMqck\njbIOZFqradZcZJ1znTFNwtknj/mPdwOFNRHZOXoYAAZrCe7Y65ejUZLTxPogALw8bLJbye1gelXL\nB2GOq6VFOsRknFqiGhaE3hwSPb3dvgqV76Q3mKU4TLrfjY74lz88ysnuzEDNSMtIAMimieG6b5//\nOABcJVUxtCQmrQQcgyY0bKNgCssU1B+9GiG/oEgSYHDQ/1uwdumZ0vqctUVPhxSKDis7qPA3hcmj\nxpVjhoe1UYgFQT0QhuhNsVUsCsG1lQa++JiftztOuJsTFzgnniVY107xSizMUEmnlLa+pDGTaNVb\nHv2M/7jmcEg1+Q7YLEHlewak/PShHgbat29lxU9/yDJSNnZAKRtbJ7zl9BwfQ+gXavlVS0Ta4iiw\nGK5VaLNeYqOQUtFqOVy5ko+/qd2rEVZ3VilJ5EiryewafwHIOFHaiseOlc9ylhIvGgLuxNpD8o+p\nWhWLbiJLE0xP+Q3RoTnSuIZ4fAEgHfXPxRraAOCUnzHFuGAUC61RiMZPZjC99C2yZbhOYlD+ZXP1\nuoBEgGFC+xkiUbmhQf56SQkNLh3njWvSUbJh04wHdm5AcUaMkmfiEglzAzrtqKhasBYwWa1+Yp8J\n1xpNfOkM6cx73r/xHz/B6RJjY/4NHWtiBgDDU8RJR4oBAErZ2EklAkjoFyy3BABkWCkioHCxcyP0\n5pA2CtmeLq68gbzeauE4KQk0SgzX0YvcwzU87P/KI0rt5NER/wNSYwobQDbhfwjTcV4tIz3rbyGs\n0ihIO2AAcNd4bWc+qP9e7mXj2loTXz5CFCmhXoyO8tDZ2Khf+Q5PnKJjeOQkMPeehcE1rrNGY8jd\nIUmByTtiiLZoRnWPolZLsW+vXx4SUgt2eIG/vJMBvwxrSXrU2CVeYgAQRk/TvF4sgU8zkLUmDwx9\nXnawihiupbibUCxYVEPTkcyRkSmVLyhvWJPjuV3e405rFMIoFnWl6otGPcp5nU3PhUTFGoUUhsFa\nirt2k/JCQ35DeHCY797SEb9wMM4wwB8Q1WPHwtOaMcDqIGocX6UGqIz7X1DusqGve2gqR/+2tH4W\nBmoJDu32K0Vm7NaIlwEAaoQOpClyqnwVD7Kwc1r3PeZBZoYuAKxYGjNYDIXA/LodZHhcW23ic0/5\nX8ZjxLM8ThqLADznY+woD02zTmcZ8a4Biu7WNnkX/JtTlet87Ag/Z6lIEVI/mqpl9KdsSyIYJMn9\n6SDhxZPNHKBUv9Le8+x9rlS+QEhnlzUfJCTKbkiyxakqbyCvN1o4cc4vHMOkbTTzEgPA0JA/PDyy\nxAWwdt5v7KZnuEchI+1XaZgQ4MaKUkBcLQ1XlLBbWnHnfnh7V2GLaErZ//uxEDSgKGXNi8WUsqLI\nHSlOL4nCxbR4fFU5NTQeoWHjgjwdPdC2Oi9SAcZJ/sQ4yQUZVXJBCtsYMkqbRnVjelgzehgtAwBI\nt0xTcrOGHpavonB1tYFH6EbP/z4fU8q5jhDZZ/INAMNjft2u9VVIadK/Qi9iFAutnJz2DrHo9qLa\nn2sOmG2g8gZyIoKhzK+YKfeNHAeAEWI8a3QJxvnUjF16TuN8snCgltinJv0RPp9SToZCNb5KLg1X\ncVxebeDPHycJTsT7NqL8rqNkY8iqrQDGhFbCB7VEW1S51zikZJzauIYZyJoMh+SJ9qEM12oJ9u72\n/7bT+/3RCS2vY+g5pBnHGg/xCitjqBiasouM0X6jGVJNYJFQ4ACde8/kkXVHA8LKVmi+fg9jZCDD\nC2/xG4gDrLLKiKIjx/w6Uqt8gV1+uoS6aSMyrub5kHrLNPnaitBlBE2e4u7UDa++gZzwXZrFQGY1\nklnZIQBIR/wCxTrvtAdZPF/kx9Q8yJpwssxqS6tpTdDYC0p9CPpTAfswWk/xPYf8SnmElAqskW55\nAA/5aaFm2oZaMy7YGG23zugXGi3jGk+CodUvWAIhwJMI1Vq1ATnNfSjbq+stPHHCn1dx+rQ/+qZt\n2EaO+711bCMHALWx097j6oZt4uve48mYtil72n9c2cixygQAuOxr1CJL8lzQahn9t8kD2k2bWL3j\nFrnng8rzzBLUtTr2qfPniohWB9nAvzdVpFJ/94LkyLI57FI5zsobyFfWW/jkKaJMWVa18tIfJucG\nlTFDJKTNONDtc/5by0LtAN/BMg92+5zixX7iKe/xZFjZQbLdpVKL2T3+mP+ERv9g3YRoa0o+VdXR\ncsDqqv97ZVeJx2yRG41UHhQlkTb8xoWMKh3FmIdLCdGxJA9h0QwrQnPYogdZRS0VLEz6dcMoMYSZ\nYwMwRicmSLMbRYZpQpTWfY95gxtKNaXnKCV5nyD6UXN8FIU+9RQzXF1v4i9PMnuCUDYVY3eERLc1\n2R8hOVLq88Iom9rzQsYko0q0Q4v0sQRsrU9DyJr0FifdNimblTeQR2oJvmu3/4exeJAHSJKeFkah\nJYmIAAJAMk4Us2Y0snNaSETzAJKGDu48T4Sh8ynrlv0H/dc5dpRfpw95mgzX1pv4HFHKI+R+jyhK\n2cK9Z0pZG5MRQ5wZNwB/JtIxRYlqFAumfBWlLCPk2dNKe2nhboa84ekelu1aPcXCfr8etuRbZHMk\nnKzRYFhEQ4nWyQTxsGkv23lDoxDNGxxy86VWVQmoU3tYVjUMpgnuIDx3FvHQIiHMnlCdWoSWwTaA\nAHjlIM04Zc+SVvteOcciIc6SZB0aXYraVd5AFhFkxFjISHkhdhwATSjTQiLaOQoWctOoF5aXtJbo\nYemkZxE09l1D1kHuYRfyyECG77qZ8N5Yu3SFLsEMj0RpFJJOE4NEU7BMWSobNtoNSmsUctHfKVMd\np1IsSFKUVsKIzRcrAAAA1lebOH7UX6pweNgf7dDqIA8e9//mqdad9KSfx68ZI2DeZW1TtkTkUXMS\nnCC0DIBHdjTeMvWiBe6OuoNoQkDbnqgRB0Mty2dnAGhnr/pgSFzXOPvCIq4Wm0HZhNKoIZTkbNN7\nPnAnVEsH1y2g8gbyeqOF04v+HcogCW+wrmUAMEi64qhjiKJnFQgApZUq2XGqY5SuasI6pAG8f7tm\npDOjSOP4XCLdrywd+/rQc9FuduPfRDSb/u875DjFIlv1z6Xx6N2aX7mlo/w6MkxkS6PbrBL+Lwt1\nY5MayfQFriU4GV76Fq+vpblIj6I2kGLfQeKNJcbA4EHi8QXQIjKcHdjDF8FKWmpd8RgUvckaNqkU\niyllDWdO+o9bSndpMJWT2zl6GABWGk08dtbPpR8ijjBGywSgFBDIT7/UNpQDJAJooV+yiA8AJCOK\nPWGI5jFnipqMa2mMxt4H/V7mrZYlWJj1/wCsTS/zygFASlpDagl3rLWvZriy+dQyb0zQlB2f3HwL\nPUepFFpCCdtBsh0swLl0Iet89rC+bjRaWCRtd5lSXFnhBuDgNf/vx0oYApzrnF7VNmz++dJRpfb2\nMHnps9brAJxWVYU8E8IqDQD8eVGUMoUpKar/6EOtRguXL/h/Q/bCXznCqVz0xf4kpzHQDpKaPmOG\nsOIpcyz7X/M6X/B7twHwl7el66Ra+SIkxaL/NnkAUBPBQj0f3UyNhBDHmkbztFCSWP8Gkz2h8Yy1\nShpErzrt+Vvxv/dEo5qyfBWtW+VOTdJbbbTwOGkNOUCy6QeU8MYACa8wYxsABkiSnmaI11noXDXE\n/UKjGuJHiXcCQGKosUvDiAo3SdsNRrQjELfd7qdYsN9Iq0jBIhdqpIG1Ptf47UwWlOQimrCh8H81\nDpuwaEdT2bAxL7ZaGo4YHhpdghkrlgo2FcfVtSY+e9RfP5YlOGuet8GcbasBnuCsjiEGDDM4tHOa\n3tQ8eTJEZP/4cTqGUkAukmgdQDeGavtgVpGmD2lCQLtc4a5dfh01MeM/7kjHXgAQ5nBT6G4sEVWr\n500jxZZosBI90RxhtEW1ZiCHjOZp6FLjscobyCmASSIEdYPhyo1dRZkbKBbsAdG68jBjiR3f7Jzp\noWI1Gq8ooXgS4nSXlVAJM2KoQPeuwl5fb+L0Kf/9Y7I1eIEbjUy+E61U4ZDfuDFRfkjHKQBwTOY0\npax0NWN1PtV2qUTBap4OuqU2UTl6V1YZBmsp7pz3b7Jqdb/uZNUtAB7J0xKVmDGiGRYJGaNykJms\nahtDrdwW47drCVGMtjbGPXxgoWnN68xoI1pZxh7GynoLXzvhj1gNMR2t5CCxDRizM9pj/NTHAYXm\nWWe2gaG4gOZI0Wh6dKOn6XbmdVY8vtQpohi7tB50v1exUEn1Nb/gMrI9AKSZ/4dJtSQ9i/fekFFM\nSfoKed+tK6T6jCg/7QudI2FRjdjPuM7azpJO1n/GRZII9XLViQyrNCHirVI3X8wrphjIdD7txc4M\nD606gWa4sqQ/Q7iN1SxV12DxdOTlw/UI2O1LyAmtiYEj97WleOsSEhlssVKJ4Do11WTBkB/hLiiJ\npuOkI6Uiw2wzJ8yxoMGU2NefFIsUwBgxwAaJUWvJTxogm0ZtjOrgMEQ12Hzae0I1di2UDUaxYNVl\nABptdGzTqKHMJD0ROQLgEoAmgIZz7gUiMg3gfQAOAjgC4FXOuQudz78JwGs7n/8Z59yHN7vGcqOJ\n//eM/8YMEYWp1S0cZgklCi2jTs4xioc2pq4o5jqZr65k0TIDC2iXZso7hnnl2WakPcZ/TjXYCNWE\necTdNcOLYYvothwnidAOjinZ/KlRA+IBYB42AEjIddQKLWwnbzEuNGjtrgm3U+0GRdbNjDIAkJBl\n3kqoANBtGb641sB/+brfCBwl+kmrRz9Azqn0OKIf2XsAsEUZLV5BdUNLqW4Kdc6Q98IoetTzB3Cv\nuGYodQlF2BNZlmBu2n8/2O/OmjkBQG3Obxy2VjlVQUhin6bzGW+ZUucAW26Q5vxg9e+1SDHbPLNm\nTgCE0fFCNjgrMEnvbzjnNrod3wjgo865t4rIGzv//wYRuRPAvQDuArAHwEdE5HbnnPpmmqyleMVu\nf1ipKAOQhrQ1brCFYkHOibI2bT72IKoUC+YB1Iwi9uBo3g6ys2ThQHn4q3yuMOiaHF9daeAzf7Xo\nPcde+myDBSjGheK1YM+K9tJnGx/Gr9euoyl/lgQLAMKMCwPtSAYUaoiFr8c42iys2DREVPKhazI8\nVktxz4JfDwelrSmbPJqkp4yhhgXZMAJAMqEYHQwaxYJFJ5TqGzTasbCPX4dVy6grBjLzYmtlFLuL\nrtoT640WTp33f+cB4iyonyfvKgB1QteoK/LFngumOwGeu5QO8URYZhtYigsAQHKKNJtS9Co10hXb\nwDE6p9bzgXiknSPR7S2iGxSLlwO4p/PvdwH4GIA3dI6/1zm3CuApEXkcwAsBfFKbzDnOMEjIiXXF\nllPDrDlRa/EfOSGhwmSA7ywZX05V5pqBzObTKCjMk6bVW2bEfm0MM8RZRYPiw9PB5LieJTg07Q9P\nMUWqGRdMkWoJoLSqirrJYyE65TrMONW8WFpGs4XTbGjZLnN+7r1bVkLnbDNHvNuUW9c9BJNhEaHU\ntYR4kBklwgrXIPdbiYKwcnKiOaMu+1/QUlNel8v5k+ew5M8LAADHnomjT9IxNKqitHJnURWpGSIq\n3UFYewLAGstrICU3RREWEXL/NI4tEVdtTEpqEKv2DOdE8THqOf97XnvO6fo0yh2DRvNcJs/SNu29\n7RrIDu2dWxPAv3fO3Q9gl3Pu+lb2FIDrb569AB7eMPZY59izICL3AbgPAOaTFOdX/D9MbZXQGJQf\nrEbOZYrRyLzL2hjmfdP40Ww+NhcAJIrSFubNUzwuDZaVq3nsauSFolxHCG9ZWJmZ7lRxuY7gcrxR\nhvfVM0xN+r1fg5OsDJWilMnvqrXp5XPl976pyo1tiiwNSbT5tM1X3nAbALfk9/BbShUy/qjGyQ2A\nrsrwBAS/86TfW8Voa2o3yIBUN0ZNa5/L/47gY7RKRzuD6tZldN2e2FvLcGi3v6oH+z00DjJLEFV5\nvjTxWHNwkGpHSldTGqFQEu5VPc0iIUrbdlq7XEuSZdBKzTLnA/VUF5Ok9z3OueMiMg/gT0XkGU3n\nnXNOtO0XQefBuB8Anjc+7F7wLf5EHVZ+pal1pCHKT90FEaqC5tllRowaTmbcJK1D2ojimSNQuZjM\nc6EJNJuPUS8AngxIu/LxqQIguBxvlOGDaeYe/MoZ7+eYQaC9jGvsBa7slukYbTNpuI5lk6duNMkz\nZpnPstFMlBqotMQTeZm5y4EbQzwTXZXhw4MD7sf3+1+EzIBgHVABnrGvdS1jCUlqRIwkN1H6GZTk\nJm3Dr4WZWbRD2+Sxyi7aJotESGScV75wpFmJaFUs/kh10m4HXbcn7qoPuKUlv9FEnVpXFF18iTjv\nSDEAQIkAKnLMdM26Fs077t/0q7Kv2if+9aVa9IRF7VhiP5CbugaAP0vbbEi2LQPZOXe8898zIvIB\ntEMcp0VkwTl3UkQWAFy3DI4D2L9h+L7OMRVXrzXwyBf9xgV7gSuySbOXa4oyT4nS1nbOAa9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tW+K3tWtI5YeZ/X3308nwe2ShgcSPGcW0myNMlu19rDi9bWMC80a4TJo0K3cet+7xKjPQCb0CVI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RlWJ84kElVneDyef1eD5sn+W/mQY4ez7m0JEdKDqD/BYAzzrnngcAEfkYgHcA4AYtQgnqbARz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "for ind, (waveform, freq) in enumerate(zip(waveforms, freqs[:-1])):\n", " plt.subplot(3, 4, ind+1)\n", " plt.specgram(waveform, Fs=fs, NFFT=4096, noverlap=3500, cmap='Reds')\n", " plt.title('{:.2f} Hz'.format(freq))\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can say several things about the above plots, which are all described in the original paper:\n", "\n", "- the algorithm introduces decay, as seen in the time domain plots\n", "- however that decay depends on frequency, as seen in the spectrograms where we see that the higher frequencies die out much more quickly than the low frequencies - this effect is also very well heard in the synthesized sounds\n", "- the sounds are realistic in the sense that they do sound like plucked strings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The drum algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original paper describes a very cool variant of the algorithm called the drum algorithm. It involves using a random number to decide whether to change the sign of the new sample.\n", "\n", "$$\n", "Y_t = \n", "\\left \\{\n", "\\begin{array}\n", "+ \\frac{1}{2} (Y_{t-p} + Y_{t-p-1}) && \\text{probability }b \\\\ \n", "- \\frac{1}{2} (Y_{t-p} + Y_{t-p-1}) && \\text{probability }1-b \\\\ \n", "\\end{array}\n", "\\right.\n", "$$" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def karplus_strong_drum(wavetable, n_samples, prob):\n", " \"\"\"Synthesizes a new waveform from an existing wavetable, modifies last sample by averaging.\"\"\"\n", " samples = []\n", " current_sample = 0\n", " previous_value = 0\n", " while len(samples) < n_samples:\n", " r = np.random.binomial(1, prob)\n", " sign = float(r == 1) * 2 - 1\n", " wavetable[current_sample] = sign * 0.5 * (wavetable[current_sample] + previous_value)\n", " samples.append(wavetable[current_sample])\n", " previous_value = samples[-1]\n", " current_sample += 1\n", " current_sample = current_sample % wavetable.size\n", " return np.array(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test this. This time, the recommend wavetable is full of ones." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wavetable_size = fs // 40 \n", "wavetable = np.ones(wavetable_size)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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D3q+ZGsEQH2fnS/jvBbYk2dw9a9wJ7B/FIN1rh58EjlbVR/rW1/Wd9uvA4en/dgizXZTk\n+U9dpvfG4GF6e/W27rS3Af8w7Nk6P/IsbCXsWWe2/dkP7EzynCSbgS3AV4Y5WJJtwHuBN1fVE33r\nY0lWdZdf0s12bIhzzXbfjXzPgDcAD1XViacWhrlfszWCYT7OhvEu9jA+gKvovTv+deADI5zj1fR+\nRDsEHOw+rgL+Bvhqt74fWDeC2V5C77cDHgCOPLVPwE8C/wZ8DfgC8KIRzHYR8F3ghX1rQ98zet94\nTgHfp/da6tvn2h/gA91j7mFg+whmm6T3+u9Tj7U93bm/0d3HB4H7gDcNea5Z77th7dlMc3XrNwHv\nnHbuMPdrtkYM7XHmX+5KUmPOl5d6JEkLZPglqTGGX5IaY/glqTGGX5IaY/glqTGGX5IaY/glqTH/\nDxnbY6oQ9bPoAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(wavetable)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's synthesize a sound and look at it." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sample1 = karplus_strong_drum(wavetable, 1 * fs, 0.3)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(sample1, rate=fs)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 1000)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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P4D0T7ZsB4IJosgtAKoA1APpGg10AcgHMA3A+3OIfDXblw1P8LbULQCYkMaNossvAzgsB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\nFVQid6XZFln18J8/9USindA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(211)\n", "plt.plot(sample1)\n", "plt.subplot(212)\n", "plt.plot(sample1)\n", "plt.xlim(0, 1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is very interesting, indeed the result sounds like a drum. Let's do a parametric study of this using different values of $b$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bs = np.arange(0, 1.1, 0.1)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for b in bs:\n", " wavetable = np.ones(wavetable_size)\n", " sample = karplus_strong_drum(wavetable, 1 * fs, b)\n", " display(Audio(sample, rate=fs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we can replicate the findings by the paper:\n", "\n", "- a value of $b = 0$ shows a behaviour of its own\n", "- intermediate values of $b$ around 0.5 sound like drums\n", "- $b=1$ recovers a plucked string sound" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's explore some more values of $b=0$, with different pitches. We can observe a variety of sounds." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fs = 20000\n", "for freq in [20, 55, 110, 220, 440, 880, 1288]:\n", " wavetable_size = fs // freq \n", " wavetable = np.ones(wavetable_size)\n", " sample = karplus_strong_drum(wavetable, 2 * fs, 0)\n", " display(Audio(sample, rate=fs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Modifying the algorithm for longer delays " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A last modification is obtained to get longer delays." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def karplus_strong_decay(wavetable, n_samples, stretch_factor):\n", " \"\"\"Synthesizes a new waveform from an existing wavetable, modifies last sample by averaging.\n", " Uses a stretch_factor to control for decay.\"\"\"\n", " samples = []\n", " current_sample = 0\n", " previous_value = 0\n", " while len(samples) < n_samples:\n", " r = np.random.binomial(1, 1 - 1/stretch_factor)\n", " if r == 0:\n", " wavetable[current_sample] = 0.5 * (wavetable[current_sample] + previous_value)\n", " samples.append(wavetable[current_sample])\n", " previous_value = samples[-1]\n", " current_sample += 1\n", " current_sample = current_sample % wavetable.size\n", " return np.array(samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What the stretch_factor does is to keep the initial waveform longer unmodified." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fs = 8000" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stretch_factors = [1, 2.1, 3.5, 4, 8]" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "freq = 220" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [], "source": [ "waveforms = []\n", "for ind, stretch_factor in enumerate(stretch_factors):\n", " wavetable_size = fs // int(freq)\n", " wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)\n", " sample = karplus_strong_decay(wavetable, 2 * fs, stretch_factor)\n", " waveforms.append(sample)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for waveform in waveforms:\n", " display(Audio(waveform, rate=fs))" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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atWsBWLFiBQ0NDdTW1uL1ejl27FjXcouKiti5cycPPfQQS5Ys4ZFHHjn7jdkH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 7))\n", "for ind, (waveform, stretch_factor) in enumerate(zip(waveforms, stretch_factors)):\n", " plt.plot(waveform - 2 * ind, label='{:.2f} stretch'.format(stretch_factor))\n", "plt.legend(loc='upper right')\n", "plt.title('full waveforms')\n", "\n", "a = plt.axes([.5, .1, .4, .4], facecolor='white')\n", "plt.yticks([])\n", "for ind, (waveform, stretch_factor) in enumerate(zip(waveforms, stretch_factors)):\n", " plt.plot(waveform - 2 * ind, label='{:.2f} stretch'.format(stretch_factor))\n", "plt.xlim(0, 1500)\n", "plt.title('first samples')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we see in the previous plot is that indeed the stretch factor prevents the decay from being to rapid. We can also hear some sort of artifacts in the sounds, which is consistent with the paper explaining that the pitch of the sound is also affected by this algorithm." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The paper mentions that \n", "\n", "> If nonrandom wavetable loads are used with large values of S (long decays), woodwindlike sounds can be produced.\n", "\n", "Let's try to achieve just that." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XNxpv//bDePu3H1LuQ/cy+XkZF1z9EM746r0q/9iIlEpmuunc/30wOR1Ql6fN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\nBhF99IFyXAPI4y89wUpAWk3C8ZvFSjNKH6WnoOV5+jJ9lO/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wavetable_size = fs // int(freq)\n", "wavetable = make_sine_wavetable(wavetable_size, [0.3, 0.5, 0.3], [0, 0.5, 0], [1, 3, 9])\n", "sample = karplus_strong_decay(wavetable, 5 * fs, stretch_factor=20)\n", "plt.subplot(211)\n", "plt.plot(sample)\n", "plt.subplot(212)\n", "plt.plot(sample)\n", "plt.xlim(0, 1000)\n", "\n", "Audio(sample, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Too bad, even after experimenting, I'm not able to produce woodwindlike sounds!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Putting it all together: a virtual guitar " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we've arrived here, why not put everything we've seen above together and create a virtual guitar? To do that, we need strings that can add a sample of their own to the overall waveform." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [], "source": [ "class GuitarString:\n", " def __init__(self, pitch, starting_sample, sampling_freq, stretch_factor):\n", " \"\"\"Inits the guitar string.\"\"\"\n", " self.pitch = pitch\n", " self.starting_sample = starting_sample\n", " self.sampling_freq = sampling_freq\n", " self.stretch_factor = stretch_factor\n", " self.init_wavetable()\n", " self.current_sample = 0\n", " self.previous_value = 0\n", " \n", " def init_wavetable(self):\n", " \"\"\"Generates a new wavetable for the string.\"\"\"\n", " wavetable_size = self.sampling_freq // int(self.pitch)\n", " self.wavetable = (2 * np.random.randint(0, 2, wavetable_size) - 1).astype(np.float)\n", " \n", " def get_sample(self):\n", " \"\"\"Returns next sample from string.\"\"\"\n", " if self.current_sample >= self.starting_sample:\n", " current_sample_mod = self.current_sample % self.wavetable.size\n", " r = np.random.binomial(1, 1 - 1/self.stretch_factor)\n", " if r == 0:\n", " self.wavetable[current_sample_mod] = 0.5 * (self.wavetable[current_sample_mod] + self.previous_value)\n", " sample = self.wavetable[current_sample_mod]\n", " self.previous_value = sample\n", " self.current_sample += 1\n", " else:\n", " self.current_sample += 1\n", " sample = 0\n", " return sample" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now initialize a set of strings that pluck a G major chord, up and down." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": true }, "outputs": [], "source": [ "freqs = [98, 123, 147, 196, 294, 392, 392, 294, 196, 147, 123, 98]\n", "unit_delay = fs//3\n", "delays = [unit_delay * _ for _ in range(len(freqs))]\n", "stretch_factors = [2 * f/98 for f in freqs]" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [], "source": [ "strings = []\n", "for freq, delay, stretch_factor in zip(freqs, delays, stretch_factors):\n", " string = GuitarString(freq, delay, fs, stretch_factor)\n", " strings.append(string)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now synthesize a few seconds of this." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [], "source": [ "guitar_sound = [sum(string.get_sample() for string in strings) for _ in range(fs * 6)]" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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F0Bf86/uzU3as56+fjXsvnKQGNW1WC7538qg+W33b22Byd+L/2esqug0GpsoF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\nmcjbspo72gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(211)\n", "plt.plot(guitar_sound)\n", "plt.subplot(212)\n", "plt.plot(guitar_sound)\n", "plt.xlim(0, 1000)\n", "\n", "Audio(guitar_sound, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interesting! This almost sounds like a real guitar!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's finish this with a demonstration of strumming. The difference with the plucking case is that we simultaneously play all notes." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "freqs = [98, 123, 147, 196, 294, 392]\n", "unit_delay = fs//50\n", "delays = [unit_delay * _ for _ in range(len(freqs))]\n", "stretch_factors = [2 * f/98 for f in freqs]" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": true }, "outputs": [], "source": [ "strings = []\n", "for freq, delay, stretch_factor in zip(freqs, delays, stretch_factors):\n", " string = GuitarString(freq, delay, fs, stretch_factor)\n", " strings.append(string)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [], "source": [ "guitar_sound = [sum(string.get_sample() for string in strings) for _ in range(fs * 6)]" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gDQRimuhW5/UjyeVo9TPEW9w8CSJyAdgB4GwAxQB+AHAVY2wzd8xMAL8BMAPAaQCeYIyN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\n/x9cdu6zc87932fmznNm5swck43J5hHGhpum+PHXGSCgNAk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(211)\n", "plt.plot(guitar_sound)\n", "plt.subplot(212)\n", "plt.plot(guitar_sound)\n", "plt.xlim(0, 2000)\n", "\n", "Audio(guitar_sound, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, this works nicely. It sounds just like a real guitar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time for some conclusions. In this post, we replicated some parts of the original Karplus-Strong paper (read the [full paper here](https://users.soe.ucsc.edu/~karplus/papers/digitar.pdf)). To do so, we made a detour through wavetable synthesis, then implemented the original algorithm described in the paper, found that it indeed produces physically interesting sounds and then also implemented the drum algorithm as well as the sound stretch variation of the original algorithm. Finally, we played with the model by synthesizing both picked and strummed guitar sounds.\n", "\n", "It turns out that this exploration was not as complicated as I would have expected. In particular, the original paper is quite clear about how to replicate these results. However, there are a lot of open directions from here:\n", "\n", "- The original paper describes the math behind the frequency dependent decay that is observed. Why is the decay stronger for higher frequency?\n", "- Subsequent studies related the algorithm to an approximate solution of the wave equation: what is the link between the two? Some answers can be found [here](http://www.ee.columbia.edu/~ronw/dsp/), on the link between the digital waveguide model and the Karplus-Strong algorithm.\n", "- How does one deal with fractional frequencies in this algorithm? \n", "\n", "If you want to hear what a fully implemented Karplus-Strong guitar with many more options (in particular, a model that takes into account the body of the guitar), checkout this Javascript demo: .\n", "\n", "Also, before I forget, this post was heavily inspired by this Princeton intro to CS assignemnet: .\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }