{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## ThinkDSP\n", "\n", "This notebook contains\n", "\n", "Copyright 2015 Allen Downey\n", "\n", "License: [Creative Commons Attribution 4.0 International](http://creativecommons.org/licenses/by/4.0/)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Get thinkdsp.py\n", "\n", "import os\n", "\n", "if not os.path.exists('thinkdsp.py'):\n", " !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from thinkdsp import decorate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do we hear phase?\n", "\n", "This notebook investigates what effect, if any, changes in phase have on our perception of sound.\n", "\n", "I'll start with a simple waveform, a sawtooth, and move on to more natural sounds." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from thinkdsp import SawtoothSignal\n", "\n", "signal = SawtoothSignal(freq=500, offset=0)\n", "wave = signal.make_wave(duration=0.5, framerate=40000)\n", "wave.make_audio()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = wave.make_spectrum()\n", "spectrum.plot()\n", "decorate(xlabel='Frequency (Hz)',\n", " ylabel='Amplitude')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function plots the angle part of the spectrum." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def plot_angle(spectrum, thresh=1):\n", " angles = spectrum.angles\n", " angles[spectrum.amps < thresh] = np.nan\n", " plt.plot(spectrum.fs, angles, 'x')\n", " decorate(xlabel='Frequency (Hz)', \n", " ylabel='Phase (radian)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At most frequencies, the amplitude is small and the angle is pretty much a random number. So if we plot all of the angles, it's a bit of a mess." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_angle(spectrum, thresh=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But if we select only the frequencies where the magnitude exceeds a threshold, we see that there is a structure in the angles. Each harmonic is offset from the previous one by a fraction of a radian." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_angle(spectrum, thresh=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function plots the amplitudes, angles, and waveform for a given spectrum. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def plot_three(spectrum, thresh=1):\n", " \"\"\"Plot amplitude, phase, and waveform.\n", " \n", " spectrum: Spectrum object\n", " thresh: threshold passed to plot_angle\n", " \"\"\"\n", " plt.figure(figsize=(10, 4))\n", " plt.subplot(1,3,1)\n", " spectrum.plot()\n", " plt.subplot(1,3,2)\n", " plot_angle(spectrum, thresh=thresh)\n", " plt.subplot(1,3,3)\n", " wave = spectrum.make_wave()\n", " wave.unbias()\n", " wave.normalize()\n", " wave.segment(duration=0.01).plot()\n", " display(wave.make_audio())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we can visualize the unmodified spectrum:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_three(spectrum)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see what happens if we set all the angles to zero." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "def zero_angle(spectrum):\n", " res = spectrum.copy()\n", " res.hs = res.amps\n", " return res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The amplitudes are unchanged, the angles are all zero, and the waveform looks very different. But the wave sounds pretty much the same." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum2 = zero_angle(spectrum)\n", "plot_three(spectrum2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You might notice that the volume is lower, but that's because of the way the wave gets normalized; that's not because of the changes in the phase structure.\n", "\n", "If we multiply the complex components by $\\exp(i\\phi)$, it has the effect of adding $\\phi$ to the angles:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "def rotate_angle(spectrum, offset):\n", " res = spectrum.copy()\n", " res.hs *= np.exp(1j * offset)\n", " return res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the effect in the figure below. Again, the wave form is different, but it sounds pretty much the same." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum3 = rotate_angle(spectrum, 1)\n", "plot_three(spectrum3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's see what happens if we set the angles to random values." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "PI2 = np.pi * 2\n", "\n", "def random_angle(spectrum):\n", " res = spectrum.copy()\n", " angles = np.random.uniform(0, PI2, len(spectrum))\n", " res.hs *= np.exp(1j * angles)\n", " return res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The effect on the waveform is profound, but the perceived sound is the same." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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oGkiR6eQGtoFTEYmMGc+Iw90s1eGftbYjI5k09h4ejLQGwFwsmU4RitZiOyUG3Tiy1pELVvN4KQqzKA8ACNlMKvKJfXmtjsqDWEqfDVkcKAhCQ0NE04joKSJaS0SriehLSdckjDz07iqyKHT4UDQY7TnTqwsVkcjG4yoWiqU6QkVGsqlY2uIVDUa7NQQlTHePOB3njlwmVP/kFAG5GBxnFeNpz2VCOc6lz4YIZ0EQGpsCgL9m5pMAzAVwNRGdnHBNwgjD3V1Fcu3Dg7zBaM+ZQjEom1rqqqEc52jdzYJh2HWEaYvXkolesDKb3ULaW6qoI52KfHGgyha35SovPLQzzpno2wQqAd+eq3yuDY7v24iwiHAWBCEUzLyNmV+2bvcAWAvg6GSrEkYSeneVkboolIjOJ6J1RLSBiK71ePzTRLSLiF6xfj6rPXYFEa23fq6oV82HBwr41e+32nGEUEIxq/aNzt18c28v/rDjUHXCORt9W7wXNu0FgJAOvHKco18cuOTV7QCAjpZwTm+KEMviwLuWvQHAEs6VLg6Y7c+GOM6CIAwbiGg6gFkAlns8dhURrSCiFbt27ap3aUIT4+6uMtIWhRJRGsD3AVwA4GQAl/p86/NfzHy69fMj67kTAHwNwBwAZwL4GhGNr0fd33lsHQBgy74+AJUEa6mPMxCtq/jJ254zX8O6H9zH2VlHlKL1k7c/DwAlAR+UtY7R+b7pifV2HWGcXiJCLmLnuz9fxMub91t1hBHw5jAYCpGHjgsRzoIgVAURjQLwAIC/YuaD7seZ+XZmns3MsydPnlz/AoWmxd1dBTDFs9di0SblTAAbmHkjMw8CuBfAgpDPPQ/A48y8l5n3AXgcwPkx1elg58EB+3Yukwpc1GVoQhGIVrBuPdAPAEgTAQjp9MYYC+gIkbW2F0tm42mLB5jCuZKrzmAQme9flO/J7kOlz0ZHSxgBz7G1xQuLCGdBEEJDRFmYovlnzPyLpOsRhBHG0QDe1O5vgXdc6uNEtIqI7ieiaVU+N3IODRTs25WyumVObxxi0dTNITPO8dXRFiIy4pwcGF1cpD9fcrnDREZUxjmXjlo4lzqWtIV0nIkolrZ4YRHhLAhCKIiIAPwYwFpmvjHpegRhBEIe29zq4VcApjPzTAC/BXBXFc+NJWp1WBPOuUywcC5NDjTlSRwtx1LKcQ7TFi8bzyAWAKGy1rrzPViIbqHkrh6n0xumDlIZ5wgvInbrdYRapGhlrWNoixcWEc6CIITlXQAuBzBfW3j0waSLEoQRxBYA07T7UwFs1Xdg5j3MrNTIDwGcEfa51vMjj1odHiwJnErCWQ0esSMSMTi9qRCOs5oNEnUdfdq5yKZVfrry5MDWbLTRhD1ab+q2rOU4V4jQpIgqvn/V11ESzu2h2uKVnO84PhthEOEsCEIomPl3zEzMPFNbeLQk6boEoRaG2RjvFwEcT0THElEOwCUAHtJ3IKIp2t0LYXa/AYBHAZxLROOtRYHnWttiRx8pXWkSn9pVubF6pCAqCJUdZ+X0qjr6IqpDPw4pAR+4OLBUR3/esC8saqV3sPQtgO04B74vpuPclk1Hdi7MOvTISGXHWTnfbbk0+vIinAVBEAShrgynMd7MXACwCKbgXQvgPmZeTUTXE9GF1m7XWAOKfg/gGgCftp67F8A/wRTfLwK43toWOy3aVLxKTqGKSHS0mC6o7tBGBYXJOFu/o65DHy+dCrVI0fwdZmhLNegLAavJOJuCNbr3xFlHiKgGzDpas+lYPhthkJHbgiAIwohluI3xtr7lWeLa9o/a7esAXOfz3DsA3BFrgR6kU6V4dcWohqWjOiyntzcGcVQ0GJkUhWqLp+qITDhrQlGdlTATDEdZAr53sGAvKqypjqJTsAIhMs6wnN4I3xM9pqKmI5rutlckv+Q4t+fS6MsXPPeJm1COMxG9QUSvWpnGFda2CUT0uNVI/XHVD5JMbrKas68iondox0mk+bogCEKSDLM4wIhDxnjHi54uqBTVsCMSyumNIaqRLxqhBXzUdThavlXR3aMt4gsJXcC3ZsMNpkkRmVGNCIVz0Si9Zpje3Wx11Yi6jmqoJqrxfivTONu6fy2AJ5j5eABPWPcBszH78dbPVQBuAZJtvi4IgpAkwykOMBKRMd7xoovFjlwGPf3+TqHeBi5F8UQ18kVGey7jaJPnV4fqtRyHYFVCMbiOksMKRJf51gVrzlqk2DOQ991fd3p780VHbr0WCka5830o8PNhdtVoy6Vj+TYiDLVknBeg1ObmLgAf0bb/lE2eBzDOWqyQWPN1QRCEJNHjADc+ts4eGy3OZvLIGO/40cXRxFE57NU6OrhRgiydosgXouk1TBqVc3SWcKOcb7VwLjrHuSRYjxrbhhQh8HwYmtMLxCPgJ49uBVC5DrKyxczxZK0njmoJVYc6H3EsHA1DWOHMAB4jopeI6Cpr25HMvA0ArN9HWNv9mqyHar4u43oFQWhGJA7QmIz0Md71oGgYaMmk8PCXzsKEjmDhrHQUgdCWy0QmFJUgnzq+DT/61OwQdcSzSFFles+cPgFXvfc4TOjIOYaAlNWNUrYYiE44K8H6ubOOxZzjJgAA9gTUAZhOb3tMme9bF56BiR05s44K7wvBcr4bfHHgu5h5KxEdAeBxIno9YF+/Juuhmq8z8+0AbgeA2bNnJzMWRhAEIWLccYC5XRNFPDcAXuO653VNkvcmQgpFxgdOPhInTRmDiR05HBoooD9fRGu2fJGbEqzm1/Ep9A1GswBMCbRL/nQajhjTigkdOazeetB3f3dbvKgF62fPOhYtmbQl4Ad893c7zlG5rErAXz53Osa350BUSbC6nO98EVFkbQtFA23ZNM4/9W1Yu818P4K/kSg53w2dcWbmrdbvnQB+CTOjvEP1i7R+77R292uyHqr5uiAIQrMhcQBhJFOwulgAwISO4K/jlWAlIrRnM5EvykunTNkzsSOH3Yf8Batqi9eey4AouqiGEvCZtDoflZ1vM1scbdZaRUbSaUI6RRjXlq0g4EvZYiBax1l9NmzHOeh94ZLzHUeMJwwVhTMRdRDRaHUbZtP012A2XVedMa4A8KB1+yEAn7K6a8wFcMCKciTWfF0QBCFJJA4gjGSKBiNjLUA7cowpnLcf7Pfc1+k4R/d1vBKsWUuwHjGmFT39BccgEEcdVoQ3bXdwiMb5VoI1Ywn4I0a3YtsB73MBlLpZlJzvaB34rCVajxzTiu0BdRgMgMgW8FEJZ/OzUbqISKfI97Oh6lDno2BwItMDw0Q1jgTwS6unXgbAPcz8CBG9COA+IroSwGYAF1v7LwHwQQAbAPQC+AxgNl8nItV8Hahj83VBEIQkkTiAMJIpGIbtKnZOaAcAvLm3F+/oLP+yX3ecWyIc71wslhYd6nVs3tuLE982pmx/JeCJzO4XUS2GU/2T9fPxm1e3IV807BHcOqqrRphWbdVQcuDNOqZNaMfmPb2++yunt1RHdBc06luATDqFo8e1YfPePt/9Dft8lKYd5jL1neVXUTgz80YAp3ls3wPgbI/tDOBqn2Ml0nxdEARBEIRkKBpsC7Sp4y3B6iPSVEQiRWbP56BWbdWQt51el3De4y2c1QIrIiCbTiEfkWAtuARr58R2FA3Gtv396JzYXra/cliVqI7qQqIk4M3jdk5ox+/W7/YdPsKuOiLrqlEsRTVUHZv3Bgh4mBdV6puDwYIBtERSSmhk5LYgCIIgCLGR18RRWy6NiR05bPONapi/U0QVx3NXgzvjfNS4NgD+kRG2IyOEXJSOsyvjfNRYs45tB7xdVuWwKlc1MuGsZZwB83z05Ys42OcTXbG6WURdR94wHJMljxrXiu0+5wIoOd+5TOVph3EhwlkQBEEQhNgoal/HA6Z47vfJyBp2ViMep1cJ+Ept1ey2eISIBbwz42wvtvNZ6MZstiRTTm/s5yOgDnUxY9YRTdMzPeNs1pFBfz54oqP5LQBZdYhwFgRBEAShiSgYhkMctWXT6C/4CzSg5PTGlXFWrfCChKJeR2SC1VVHpTZzzIxUyhVNiICiK2vdVuF8xOd8s8Nxbq0w9MZ0nMmuI6pvAqpBhLMgCIIgCLFRNJw51nSKsOTV7Xiue0/ZvszOjPMbe3rx9YdW1zziWUUTlIBXYu17v12PrfvLowH64sBcJoVHV+/AD5/ZWFMNQCkyoupQjvMXFr/sKUZVxpkssXjTkxuw5NVtNdfhzlqrC4nP3vWi5/6242wJ1mt/sQqvvLm/5jqKRUZW/zYim8ZgwcB3Hl3nub86H2qR4hcXv4SdAV044kCEsyAIgmBz69Lusv7Sy7p349al3QlVJAx3Ci7hvKvH7NP797981bHfa28dwM9fMAcME0oL0e5c9oZjNPNQawBKEQmd+1a86bj/5Os78MTaHWV1fHPJ2ppqAIC84e30AsBbLgH/Xy9uxqq3DtjT41RM4i9+9nLNdagFm2ohoBLw3bsOO/ZjZtz85HpsO9jniEj09BdwxR0v1FyH23Fuy5l/481PbXDs1ztYwL89+rrtzKv3ZP3OQ2X7xo0IZ0EQmhIRgENj5tSxjuEsanjLzKljE65MGI4UDQYzHBlnJdbcbcQ+/J+/wwMvbwEAR+szoPY2bO6IhI5qbab48ztX4Kl1u+w6ch5t4oaKPXhEZZw14Zxx1fZ3D7yK37+53/d81YJ7UV6bxxRHAFi7rQffeewPeHNvn8NxBkq56FrwivF4ccvT3fj+U90YKBhldbRFUEc1iHAWBKEpEQE4NNRwlkX3rMSNj62zJx5Kz2lhKLgjEoAZfwDgOXK7tE8p1wvUnqktupxenZYAQZoiQjZCweru49ySLR3bL0etSjZqjKvomBEJPVvs/TfqNZHrIiIKwVp0Oc4tPp+JwwOl3HOK4Oh53Z4NM5IkOkQ4C4LQlDSyAGx0N3xe1yQsnNOJm57cgIVzOhvinAnDE/egDQAwrG3rtvfgDzt6PJ+nL0QDInCcXe3XdF7YtBc7fHKybrFYK+6Msy7af7nyLc9FgupCI6opioBHREITrA++8padKdfFOrmc3o5c7YK14OrjrNfx1Lqd9m1nHc7PRkeLOM6CIAiR0KgCsJHccC8R/8Nnu/HDZzfhmvkzsHj55rLHBSEs7rZnQMnF7MsXce53n/F8ntn6rCSIonKcsx4Z50dWb8fHb1nm+Twi8nSph4p7UZ4+bOQ/n9yAGx5+3VEvYJ4LINqexfoYdMDp/n/p3lfwzHrz37weLXfHVqKIapgLR0vHTGnn4zM/edE+D/riUL0tHgDPiYtxIsJZEISmZVn3bixevrnhBGAjueFuEf/DZ7vxrd+8ji+fezy+fO4Jdp2Ncu6E4YW77RmAUAv9UgRkM7rYri2mkA/IOAPAln3eQzdSBN/WeUOhUHT2cXajBqHoIlkXk5HVUbYozymCD1sTGw2XYNWfE0fGWX0zoFCt6YoBzne9ezmLcBYEoSlRLu7Nl81qSAHYKG64W8Tf+Nh6fOVDJ+JzZ3U5Hl+15UAi9QnDG9th1VzBfAjh7HZ6I8s4e0Q1gkgR4UBf3r5fe1u8YAGf8Rit7dbNURjgRcNwnF933lw95nS+nQ55R0vtUQ13xrngukBSA2qCnO9693IW4SwIQlOyassBh4vbaAKwkdxwXcR/7qxjbdGsP/6F93b5PFsQ/LEXB2ri6FNzj6n4PCLgkLYgrFZX0c44a3UcN7nD8Xp+dRzoLQnnQo1t8ezIiI+AVwv2Bov+wnlce66mGgArWxyim4VTyDoLqbVFIOAcxw4Apx7tjKupzDe7Ms5ZcZwFQRCi5Qvv7SpzcRtFADaaGx4k4ht9IeNIgojOJ6J1RLSBiK71ePzLRLSGiFYR0RNEdIz2WJGIXrF+HqpXzV5t4L7ywZMwpjXYrUwR4UDvoH2/VlfRq6vGr//y3fZtr+yzqmO/5jjX6nx7Oc4PfHGefdt2nIv+UQ0/kVttHXpcJJ0ifPOjp9r3+62/c7Do7GahE0Xm2u04n/C20Vg4t9O+rxZEujPfuuMcZfY7DCKcBUEQ6kwjueGVRHwjLWQcyRBRGsD3AVwA4GQAlxLRya7dVgKYzcwzAdwP4F+1x/qY+XTr58K6FA1vhzWVIlRKPKQI2NcbnYfLnZgAACAASURBVGDN21lrbUGc1r/ZzwEmAvZpAr5m4exRh54VznpENdzCOQqH1S1YAWeXjH5LsAbVUWunE0BlnJ1SdFRL1r6tMs66uR11q8JqEeEsCIJQZxrJDa8k4htpIeMI50wAG5h5IzMPArgXwAJ9B2Z+ipl7rbvPA5ha5xrLKDmsTrlRacFdighXvvtY+36tYtEr45zShKMSb+4Mc4oI/3bRaRHWYVjHLW1zdoUwX98r4/z59xxnPhaVYHUJZ33BXe9gwXotzem1Hn7fCZPLahwq7nHs7jpKGWdn1npUSwbTJrQBkKiGIAgNChHdQUQ7iei1pGsRoiOMiG+UhYwjnKMB6LOht1jb/LgSwMPa/VYiWkFEzxPRR/yeRERXWfut2LVrV20Vw3/wiN4lw2vBXVsujdOmjcNDi94FIIqIRHnGWUc5mHpd2bQ5bvuiM6biXy+aCaD2yIgaP64vsmvxEIr636sc6es+eBKufPexyMcQkQCcAr4vb5TV0WYNGrnzM2firOMnRSTgy+vIaRc3fXmru4dmObfn0sikU3j2b+dj8uiWSOqoBhHOgiCE5U4A5yddRKMxEjLAjbSQcQTjpfg8Aw9EtBDAbAD/pm3uZObZAC4D8D0i8vx6g5lvZ+bZzDx78uTJtdZsu4F+ghXwFqMqNqDcx8gcZ5861NhtXYS1a9GFlgjrcHf2cArWYmAduUwqEqGYL3JZRCLrEKzlAl4fNJJNpyJxet0DUABn546+QfM19KiG43ykUxgsRDdRMQwinAVBCAUzPwNgb9J1NBrNngFutIWMI5gtAKZp96cC2OreiYjOAfD3AC5k5gG1nZm3Wr83AngawKw4i1VUEqwAPKfltVsiLeuxWG4oVGoDpxxp3c3t8MoeR1CHu4ezI5rg4fS668gXuea2eJUiEuo9yfsJ+HQqkqiG6Tg7z4eKiQB6xrn09+oCPqoLiWoQ4SwIQqRE/VVvo9PsGeBGWsg4wnkRwPFEdCwR5QBcAsDRHYOIZgG4DaZo3qltH09ELdbtSQDeBWBNPYq2JwcGTHfzGiXdbnWOUN0Tao5IFNUiRe86VA0Op7fFKRSBKBYHGh4RCd1hVdniYOc7ihHk7jp0QW9nnD0iI4AlWCOJjBhlCzMPa20I1fngQMc5ugE1Yai9e7UgCA0DEb0TwEIAZwGYAqAPwGsAfgNgMTPHrnaY+XYAtwPA7Nmz6/sdWkLoGeBr5s9oGtEMwHPB4ryuSU31Nw4HmLlARIsAPAogDeAOZl5NRNcDWMHMD8GMZowC8N/W192brQ4aJwG4jYgMmIbZDcxcF+EcxnHu6S+UbVNCO7qIRHBk5NBAAYbBgUIxijoKHk6vLubVufCtQxPwLZmht6UrGlx2EaE7/3YdRe86lPNdK14Z50MDpc/DQasOvR1dhyu6EkUd1SDCWRCaBCJ6GOZXtw8C+CaAnQBaAbwdwPsBPEhEN1r/gxUixJ0Bnts1UYSlEDnMvATAEte2f9Run+PzvGUA/iTe6ryptCgPgGMynxuv9mxDqyNYwDMDPQMFh7OtL9rLRuR8e2Wc9Z7E6lw4s8Ulqea1iHEoFAxGW84pnHVxquoY8Kkjl0lFMrHPKzKi3z9o1aGP3G5vcbYRlHZ0giAMlcuZ+UpmfoiZtzJzgZkPMfPLzPzvzPw+AMuSLrLZkAywIPhT6lvsFEe/+It59rcZB/ryGPD5uj3qxYFuAX/b5Wfg4jPMrn0H+/KOfK2e+S3VUbtgdWecU9bwkXNOOsIWrIe1OpzOt7WIMYLoivs9ec/bJ+OvP/B2nDZtnF1H74BPHWmKbHGgO+N83QUn4W/OOwGTRuXsOnQ3vCwyIhlnQRCGAjNXVGph9vGDiH4O4DkAJxDRFiK6cqjHalSG0iFDMsCC4I+fYH1H53hceqa51vG57j3Ye3iw7LlAHI6zU/acd8rbcM7JRwIw/y3v0erQoxBRZZy92sABwP+ZcwxOmzoOvYNFbDvQ5zgfzoiEcpxrPx/uOtIpwl+efTymjm/Dys370TtYcNXh6u4RyeLA8n7SY9uzuPr9MzCuPYffrt0BZsaeQ6U69KhGNqJFitUgwlkQmgwi+hgRrSeiA0R0kIh6iOhgrcdl5kuZeQozZ5l5KjP/OIp6G4mhdMhopGEmgtBo+AlWABjXlgMA3PG/mwKEsymqBmt1egPa4o1rMyfVXX3Py9in1aFHKKJyvvPFcqGoGGPVcd53n3HU4RasQBSREf86VDziW0vWYm+vLlijbUdnGAyD/WM8G3Yewu5Dg3j4te2O6Y36hURLJpq2eNUQWjgTUZqIVhLRr637xxLRcut/0P9lrfIFEbVY9zdYj0/XjnGdtX0dEZ0X9R8jCAIAc8zuhcw8lpnHMPNoZh6TdFHDgWbvkCEI9UYtynPnegFgdGtJEOrCWe+yQESRuJtBGWddmOp1uDO9QHyOMwDs6jG7Bx7sLzic77FtpRHULRHV4eU4K9Zt7wEA7Dk06DgfY7Q6cpkUCgY7BpNUi8ot+407t/cz2HE+3HU0suP8JQBrtfvfBvBdZj4ewD6YU4pg/d7HzDMAfNfaD0R0Msz2OafAHKLwAyIa+pJQQRD82MHMayvvJnghU/IEITqCBKs+8nrnQbvltEOwAtH0DC4ajBQ5X1PRdUSHfVsXaKNayiMSUQhWv9Z8F1lZ61md4xyCdVx7SSiq6EoUmW+/1nzf/rg5JXHGEaMcEQm9jlwEbfFKMR7vOj4x2zwfgwXDcd71urPpBs04E9FUAB8C8CPrPgGYD+B+a5e7AKgRngus+7AeP9vafwGAe5l5gJk3AdgA4Mwo/ghBEByssL71udSKbXyMiD6WdFHDBZmSJwjR4ZdxVlx7wYkAgF2HSsJ5lFs4R/B1vNeiPEV7LoOPzjoa0ya0YX9vqcPHqFYPxzmKyYE+52L6pA6cNGUMJna0YH+vLlhzkddhLsrzruP9Jx6BdIrA7Ox44qgjgoEwlTqdXPWe4wA4PxtuculUJCPIqyGs4/w9AH8LQFU3EcB+ZlbLLbcAONq6fTSANwGz7ySAA9b+9naP59iMtOEJghADYwD0AjgXwJ9ZPx9OtKJhQrN1yBgJ48CFxiZf9M84m9tN0eQQrC7hHEXLsaCIhHqNfIEdXTVGtWgOa4SLFIPqUN0q9KEwXo5z7XX4Z5wB830ZLBqO7h4dHn2ta6kjKHdu1mC+hv7ZcJNtxK4aRPRhADuZ+SV9s8euXOGxoOeUNjDfzsyzmXn25MmTK5UnCIILZv6Mx8+fJ13XcKDZOmQ0+zhwofGxB4/45FiVADvQV3JY9eyz2ifORXlAabGbPrXOy3Gu2fkOW4cmWMe1RRuRACpfSOTSKfT05x0T+6yhOnadQG3nozRV0ruOrMdnw6vOemecwwxAeReAC4nogzCHKYyB6UCPI6KM5SpPhTl4ATCd5GkAthBRBsBYAHu17Qr9OYIgRAQRtcJca3AKzH+zAICRLp5vXdqNmVPHOjLLy7p3Y9WWA3YHjGabkqcvdlw4pxOLl2+WxY5CXVHiKOsj0pQA0yMBs6dPcOyTS6cwEEVEImARmhKsffmSYO2aXMo+18txzqZTKBQZfZrjrC8OjLKOQAGfSQUOpomijmJAxxWglCsPqqOlER1nZr7Oaj01HebivieZ+f8AeArARdZuV8CcVgYAD1n3YT3+JDOztf0Sq+vGsQCOB/BCZH+JIAiKuwG8DcB5AJbCvEjtSbSiBmCkuq+y2FFIkkoZZ104HzG6Bb/4i3n4f+eeULZPNILVX/Ko0c2HB4p494xJeOCL8xz/VtIpAlE0Tq/fojygFD04PFDEpWdOw8NfOsuxmDCygTBF/0WKgClalWD92/NPwNK/eZ/j8UiiGhUyzjnXRdV/XjoLL/69czjmcOvj/HcAvkxEG2BmmFVP1x8DmGht/zKAawGAmVcDuA/AGgCPALiamb1HBQmCUAszmPkfABxm5rtgLuxNZNxuPamU5x2preZksaOQJIUKGWflKu7vzaOjJYN3dI4vE9lR9OotekzKc9eRLxroGyxiVEsGZxwz3vE4EZmxgBgGj+jk0oSBgoG+fBGTR7fipCljXI/XyXFOp+xs8fSJHThmYkfZ40CNXTWK4S6qVB0nHzUGk0e3OPbJZVIw2DkuPG6qEs7M/DQzf9i6vZGZz2TmGcx8MTMPWNv7rfszrMc3as//JjN3MfMJzPxwtH+KIAgW6nut/UR0Ksy41PTkyqkPYRzlkea+NttiR2F4cWiggMfWbAcQkHHWXEV9sIVjnxp79W7d34flm/ZUjkgYjEMDBbS3xFPH69sPYu22gxUFqxpA0uFxPqJwel/YtBd9+WLFjLNyer3elyj6ST+yehuAgIyzy3HWJwbadUbU17oaZHKgIDQftxPReAD/ADMitQbmUJSmJoyjPNLc12Zb7CgML/76vlfw/Ma9APy/jrfFUa+/cK51St37vvM03tjTWzHjDJhT83wFfI11nP+9ZzFYMAIFa0YTzl51RLEo7xO3PWe+VgUBf6BX1VEuWEt1DM3pXbe9B99a8jqAIMfZyjhbdbQFnI965pzDLA4UBGEYwcw/sm4uBXBckrXUG91Rvmb+jDLRrIvpuV0Tmz6u0WyLHYXhxfqdh+zbvsLZcgx7BgqeAg0wXcXDAwXPx8Kg3MhKUQ1Vh5ezqeqIwtkMFvCEHutv9TofUY3cBvwHjwBANqPXEb3zrfep9ovxEJHrfMTjwFeLCGdBaBKIaCEzLyaiL3s9zsw31rumeuN2lOd2TbRFYpD7KkJSEKJHH8fs6ypq24Mc58EhOps6fgJNvYbCy9lU+wzVYQ1bR06rw1Mo1uj06k51kIDXa/R2vqnseNVQ1PrcBfeTTiFfLCKXTnkuqszVWMdQEOEsCM2DWr0xOtEqEqKSoyzuqyDUl4ImnPUewDrKcQZKuVk3uUwKA4XaewlUyjiX6vDPOEdRR6WIhF1H1kMo2o7z0Oroy5eeF1RHzlGHv9M71Dr0xXx++XfAFOh9+eDPhlmHCGdBEKqEmW+zfn8j6VqSQBxlQWgswnQ60IVizkccjWnNoqd/6FENhY92N187VB0ZHOyrvY6wAj6XLhes6RShI5ce8vno1/pDB9aRKT2W83B6x7SavaUPDrEO/aIqUMBb70XQZwMAevr9ez1HjQhnQWgSiOimoMeZ+Zp61ZIE4igLQmMRTjiXT6NzM6Eji32HB8HMvs51GILKcQpF79eY0JHD1v39Q359RWDGOaOfD+/9xnfksPew/zS9IPrzWlQjtIAvf18mdOQAYMh15DWHOMyFhN9nY7xVx54h1jEUpKuGIDQPL1k/rQDeAWC99XM6AOmZLghCXQkjnMM4vePbcygYPGR3U8HsX4+e6Q2qY1/v0AQaOzK9AVnrEHVMqEE4O6IagQNQgutoz6WRy6SwL4I6AgfCpIMd5wntpnAeah1DQRxnQWgSrGEnIKJPA3g/M+et+7cCeCzB0gRBGIEUIopqKHdz3+FBx/jpakkFuNVh69gzROdbz+C2emSXq6mjFgGvC9ZWj+yy/doV6iAiTKzJ+dbq8MmUAyXX3fdc1Oh8DwVxnAWh+TgKzgWCo6xtgiAMc4jofCJaR0QbiOhaj8dbiOi/rMeXE9F07bHrrO3riOi8uGs1wgjnTHAkANDE0RDFoiJw4EemcmRkfEcOgwUDvYPVf4HXH1KwVsoWA7U5zs46gkduA0CK/M9bLQJej4yEuZDwe0/GtGaQSdGQ6xgK4jgLQvNxA4CVRPSUdf+9AL6eXDmCIEQBEaUBfB/ABwBsAfAiET3EzGu03a4EsI+ZZxDRJQC+DeCTRHQygEsAnALzQvq3RPR2Zo4lxtWfL9r9d4PQ29H5CcXSArDqoxo7DpYyyakaMr3uOjpaqpNPKzfvt2/X4vSadWSGvDjwt2t2lOoIcHozFSISADCmLTPk+MzPX9hcqiPoQqJCHUSE0TWcj6EgjrMgNBnM/BMAcwD80vp5p4pxCIIwrDkTwAZm3sjMgwDuBbDAtc8CAOrf+/0AziYzV7AAwL3MPMDMmwBssI4XGSs378PDr5pjlH+9aluo5+iCNesjjpT7WQjZq/ex1dvxwiZzYuE//2atvT1gTV6oOjJV9gz++QubsXGXOQTmM3e+aG/3a63mrsNPLGbSqdDnolA0cMvT3fbY6h/9bpP9WBjBWil/HLaOA715/ODpDTAMRqFo4PXtPSHrsKIaQT2nI+qvHRYRzoLQnAwA2AZgH4C3E9F7Eq5HEITaORrAm9r9LdY2z32YuQDgAICJIZ8LIrqKiFYQ0Ypdu3ZVVdxHf7AMX/zZywAQetJfmKhGNWOmmRlX3f2SPVZaX5QXuo+zTx25KurY2dOP637xKhbds7LsMa++yF51BJ2PsELxgZe34NuPvI4fPbuxbHFkUERCCdVKIj9sHf/3vlfwr4+sw++37Mf2g87OJGGiGkHOd62j0KtFhLMgNBlE9FkAzwB4FMA3rN9fT7ImQRAiwUv5uZWL3z5hngtmvp2ZZzPz7MmTJ4cuzO08vrW/L9Tz9JZrfuKoNKWuskjbtPuw474eJQgWzpXrUI5zmEWPL72xD0Bp6t6RY1pKxwmalKe35ws4H3nDCOwSonjRqmNCR66sB3WoiESA45xJUWjB+rv1uwGY78Fb+5yfjcDoSiZEHWkK7XxHgQhnQWg+vgTgTwH8kZnfD2AWgOqsI0EQGpEtAKZp96cC2Oq3DxFlAIwFsDfkc4fMvl7nAIqt+/vQ4TO6WsfRfi0Cx9ndZ3nb/j60WcIsrOPsF09Q2wdDTKlTFw5Hj29DoWhgZ8+A/Vg6oCNHLqTjzByu3d+eQwP2c7YeCC9YlWj3E+/qsbDCedDab7BgYNsB53sUph1dpX0kqiEIQi30M3M/YK6wZ+bXAZyQcE2CINTOiwCOJ6JjiSgHc7HfQ659HgJwhXX7IgBPsmlNPgTgEqvrxrEAjgfwQlSF9bk6TQwWDIwJ0TpOX7AXlOkFgEIIcdQ7aLqqykEeLBp2FKDWdnTZKhxndT7SKULBYOjmcK2LFKtxvtU+AwWjbCx1qIhEkGC1/rZqGCgYoS48SnUEt6MDqnO+o0C6aghC87GFiMYB+B8AjxPRPkToLAnCULh1aTdmTh1rT3K8dWk30imgaJSmPi7r3o1VWw54ToEUzMwyES2CGb9KA7iDmVcT0fUAVjDzQwB+DOBuItoA02m+xHruaiK6D8AaAAUAV0fZUePwoDMGYHBwPtaLSoJ1MIQ46tUEq1kH2xMDA9vRhRLO4Z3vw1YdzGYNOgFlOCIjfgJb1WpeFAS7+upiY7BglNUR3N3DfO1KLn2+ChHsV0cQoTLOVTjfUSCOsyA0Gcz8UWbez8xfB/APMP9H+pFkqxJGOjOnjsWie1ZiWbfKOgLf+s3rUHplWfduLLpnJWZOHZtglY0PMy9h5rczcxczf9Pa9o+WaAYz9zPzxcw8g5nPZOaN2nO/aT3vBGZ+OMq6ejXhXCia+duWgHZnXvhGJFLKcQ4jWAuO5xhGaYFgUEQiTP9kNfEvjEhT58MUis7HAsVoiIsNlZEO48AXjFJEwp2Jbgu5SNG3jnQK+SE4ztU8JRfC+c4MwfmuBXGcBaGJIKIUgFXMfCoAMPPSiI9/PoD/gOl2/YiZb4jy+EJtuF1doHFc3Hldk3DzZbOw6J6VWDinE4uXb8ZXPnQibnl6I3r6Cli8fDNuvmyWo3Zh+HB4oGReD1iuYpBL6EWlRXlhcqx2RMJ6DjPbKyBDRyQqtsULExkx6xgoFMsc1rDOtx+l6EplAa8GjZh1OB8LcpyDxnErskNYlOd1PoLIhIlqpFNVxT9qRRxnQWgimNkA8Hsi6oz62NrwhQsAnAzgUmuogtAguF3dRnNx53VNwsI5nbjpyQ1YOKcTnzury3FfRPPwRXeclcuaShFOmjIG37n4tFDHyPr06rUjEkYIx9kS8MpdNhh453ETMWlUCxa9f4b/a2uLFCstDqzGcR4oGGBr94/OOhqTRrUEfs6DOm4o9KhGJQ7rzrelnD/+jqk48W2jKwj4ynWEXZSnny/d+f7k7Gn48MwpFV9D/+1da0oc56hY8cZeLN+0F1cH/GMRhCZkCoDVRPQCALs3EzNfWONx7eELAEBEavjCmsBnCXXDy9VtJBd3WfduLF6+GdfMn4HFyzdjdFvGcX9u18SGqVWoDn0M9WDRdJxTBDz8pbNCH8MvOmAL1kL4xYFKSBnMmNCRw4qvnhP4PD2q4VdHNc63EvADWqZ35tSx+O4nT69QRxjHObzzrRx48z0xt338jKPx758IvphR5zwTOHgk3KK88s+GefvvLjgRE6xx6pXqCIqVZNKEfL8sDoyEi241G6CLcBZGGN+I6bheAxTmuHcioqsAXAUAnZ2RG99CBXRX95r5MxpGiCr3Wwn50W0ZfOs3r+MrHzoRnzurC3O7JjoeF4YXhzVxNJA3wBzcxcKLUT5jrNMpQopKed0glEhTX90zzLHMldAdTb9uE9UMQOnT6rCjIiHqCBPVqGqRojWIZiBvQIVWwtShXiMopx528Ij+bcRA3oB6+RDmut1yL2jEubSjEwRhSFhjdcHMS71+9H2G+hIe2yIboCBEg9vVVbGNpFm15YBDFBcN4CsfOhHq/7vKLV+15UCCVQpDpVebFDhYLILBoYSRTnuAOMqkU9VFE6x9mcPVoUck/P4zaWeLw0RGHIsDlWCtXEeYRXlhB8Iwc+lComjYLfFCCecwg0dSKRgh+knr+Xe9jjD/O1IXQB0twWO5pR2dIAhD4SkiegDAg8y8WW20+r2+G2Zv16cA3DnE48c6QEGoHber20gurntxotdixXldkxKvUxgaahEaYMUTjHDCSGdUzl+S5NKpUNGEAauOosEoWLGAMEIxnCttCdYQkZH+fPniwGpeI3ifcI5z0WA7slKtgM+FWJSn4i35ooF0yl/YqnOh6lAXKWHqUBdA7QGfjWw6JZMDBUEYEucDKAL4ORFtJaI1RLQRwHoAlwL4LjPfWcPxwwxfEBLE7eqKiyvUi6LhEs4hnV6dIFcxbJ5Wd4P1rHUUVLNIUbmwVTu91XTVqFCHvmBO76oRRsCrfQKFs2oTWMFxLrrqqOZ8KMc5eABKfaMaFR1nImoF8AyAFmv/+5n5a9bkoXsBTADwMoDLmXmQiFoA/BTAGQD2APgkM79hHes6AFfC/J/7Ncz8aPR/kiCMTKxpgT8A8AMiygKYBKCPmfdHdHzP4QtRHFuIBnFxhaTQxZPZOSG47ZoXQS3QwuZYi646DIOrdr6DagDC9k8eotMbYnFg2KiGU7BWV0cYwVpqzxdewDvPR+VC1LTDoMhILlPfqEYYx3kAwHxmPg3A6QDOJ6K5AL4N08E6HsA+mIIY1u99zDwDwHet/WC1rboEwCkwnbEfWO2tBEGIGGbOM/O2qESzdtyy4QuCIAhlgpW56sWBQWStscrPde9xfPXvRheTA4WhLVL0Q3WYGCgU8ez6XWUDRXTU+dAHfoSpQ8UYKk3sA4D9vYN46Y97ffcrv5ipXrC2BGWcrcfe3NuHddt7fPcr/2yYt8O8LQMF870OmkJpOs4GNuzswZZ9vZUPWiMVhTObHLLuZq0fBjAfwP3W9rtQmky2wLoP6/GzrQVJCwDcy8wDzLwJwAaY7a0EQRAEQRjGuAWrwRxKGIUlk07h9e0HcekPn8c3fuX/RZe3gI+mBhVN+OGzm3D5j1/AY2t2+O6b10ddGyrjXPk1MnY3i+BJeQDwhcUv4+O3PIdDAwXP/XQnWOXOgeoiEi0+HUaAkuP8Zzf/Dud97xnf/crqqELA23UEDkAhFIqMc258Bu/+9lMVj1kroTLORJQmolcA7ATwOIBuAPuZWb1bW2C2qgK0llXW4wcATIR3K6ujIQiCIAjCsEbPOCtXMWxE4uQpYyruk00T9hwaBAC8HuBuFhxZ66JVR6gyAABnTp8QWAMA7OoZAABs29/nu686H8r1BsKdD9UK79PzpgfU4ZRueZ+peV4XEWYdFcvAadPMoUnnnvy20HX44ed8h6njwtOPAgAcN3mU7z65kB1XoiJUVw1mLgI4nYjGAfglgJO8drN++7WsCtXKSnrACkLtENExAI5n5t8SURuADDP7/99GEAShBnRxdPU9L+OYie0Y154N9dxf/+W7K45hzqZTKBimVxe0Fk0Xi+fc+Axas6nQUY0N37wgcF93fCKoDnU+igbj84tfAhAuW9ySSWP9Ny8InCDoFqxFn3Onvydrth3EfzyxHkA4wXrKUWPxh3++oOKo6zDo78kvVr6FU44yL5TCvC+XndmJi8+YVqGOxss421h5yacBzAUwjoiU8NbbUtktq6zHxwLYi5CtrKQHrCDUBhF9DmZM6jZr01QA/5NcRYIgNDvuXr5/3NMbWrCmUlRRhI1py+JAXx4AArPF7g4P+WL4xYGZdAqpAMFKRI6LgSCxr5+PtdsOAgiftc6mU4E1uy9I/Poou7ev3lpdHZUWKo5tC3dh5H5PSnVUfi4RhaqjjhO3KwtnIppsOc2wnKtzAKyF2Q/2Imu3KwA8aN1+yLoP6/En2fyUPwTgEiJqsTpyHA/ghaj+EEEQbK4G8C4ABwGAmdcDOCLRigRBaGoKBpflUKPKFgPA1PFtdt61kmDV6yga0WWcAWfWNsgk9zofUWW+J49qcdwf9IlqKMFa/r5EU8jU8W2h9iv6tM2LqtvJtPHtkRwnLGGiGlMA3GV1wEgBuI+Zf01EawDcS0T/DGAlgB9b+/8YwN1EtAGm03wJADDzaiK6D8AaAAUAV1sREEEQomXAag0JwP7mp47X44IgjDSKBqOjJYOBwqC9LSphBJRGRwPBgjVfZLTn0nZXCCA6oQgAOw4OlOoI+M9q0WCMac3EUofbFfeLKSjBWn4+IikDR48LJ5wr9XmulWkTGkw4M/MqALM8tm+ER1cMq5fsxT7H/UENFQAAIABJREFU+iYAaWElCPGylIi+AqCNiD4A4C8A/CrhmgRBaGIKBqMt6+wwG6XT+9FZR+PR1WYXi6ARz0XDQHsug329+VjquOiMqbj/pS3Wa3nvw8woGuxRR4SFaPgJU7XdHYOJ6oKm1fV+M3vHYiqN5K6VYybWVzjL5EBBaD6uBbALwKsAPg9gCYCvJlqRIAhNTdEw0JZzC+fohOL5p06xb1eKSLgnEEbpfP/d+Sfat/0iI0ootpedj8jKwOIr59i3faMaRe+BJ1HW8dUPlXpF+Ar4mKf6jW7N4uIzpsb6GjoinAWhyWBmg5l/yMwXw+xQs5yDVtOMYG5d2o1l3bsd25Z178atS7sTqkgQhif5Ipd1gojJYK0YkWjLOb9Mj3QQS7rysQo+wjlKAZ/R6vCLaqg63H9/tOejJCP9BHKl0eBRELbDRxSIcBaEJoOIniaiMUQ0AcArAH5CRDcmXVcjMnPqWCy6Z6Utnpd178aie1Zi5tSxCVcmCMOLosEOMRcngW3gioyOMsEa3WvrLemMChGJdpeAj3QgjFaHn9OrMs5uoRzX+fDrpRx3xhlAYPu+yF+rbq8kCEK9GMvMB4noswB+wsxfI6JVSRfViMzrmoSbL5uFRfesxMI5nVi8fDNuvmwW5nVNSro0QRhWFAxGJuX04uL6nqtSV404IxL63+inB4tFv6hGdIXogtVvAIod1XBZpFHW4RDwvosU6yCc63TRBojjLAjNSIaIpgD4BIBfJ11MozOvaxIWzunETU9uwMI5nRVFs8Q7hCQgoglE9DgRrbd+j/fY53Qieo6IVhPRKiL6pPbYnUS0iYhesX5Oj7K+omGUuX5xCefgjLNRFtWIKyLhJ+BVNME9MCVKAa9HJPIV+jjH6TjrEYm8X1Qj5owzUF/HWYSzIDQf1wN4FMAGZn6RiI4DsD7hmhqWZd27sXj5ZlwzfwYWL99cJordSLxDSIhrATzBzMcDeMK676YXwKeY+RQA5wP4nprDYPE3zHy69fNKlMUVilwmFIOyyLVQaQCKO6oRl8PqV4WfYK2742zVkY6xDv18+LfFq4fjXD85K1ENQWgymPm/Afy3dn8jgI8nV1HjokSvimfM7ZrouO+FxDuEhFgA4H3W7btgTvH9O30HZv6DdnsrEe0EMBnA/riLKxqMlmy9ohoBdRTZo7tHdK+tu9d+At5elOfSclE6vdkQiwNtwVrWVSOZRYpxUkfDWRxnQWg2iKiViK4moh8Q0R3qJ+m6GpFVWw44RK8Sxau2HAh8XrXxDkGIgCOZeRsAWL8Dp4ES0ZkAcgD0DNE3rQjHd4moxed5VxHRCiJasWvXrtDFFQxG2p1xDv3s6gjKOBcMdsQYgPj6J1cade0eEBKt41w5qqEE66xpzlRPtJlvXTgHL1J8z9snR/fCLgiVL2iiQoSzIDQfdwN4G4DzACwFMBVAT6IVNShfeG9Xmeid1zUJX3hvV+Dzqo13CEIYiOi3RPSax8+CKo8zBeZ/Bz7DzMoGvA7AiQD+FMAEuNxqBTPfzsyzmXn25MnhhU7Byji/8JWzcc38GdWUWzVBuqhomJGRZ/7m/Zh/onltEVdbPD/hrJzXU44ai0f/6j329tgiEr6LA83tV777WDzyV2fZ2yPNfOsC3sdxVoL61oXvwN1Xls3NiwT9T4o7GiJRDUFoPmYw88VEtICZ7yKie2BmnoUIGEq8QxDCwMzn+D1GRDuIaAozb7OE8U6f/cYA+A2ArzLz89qxt1k3B4joJwD+X4Sl2xnnI8a0YtLoFus1o3yFEsGOsyngOye2210t4nKc/dqvKeGWThFOeNtoe3ukTm8VEYlsmnD8kfHUkQ4ZGUmR2Z7vuMmjontxDf1PyhcZmbTvrjUjjrMgNB9qxut+IjoVwFgA05Mrp7kYaryjEZCOIMOahwBcYd2+AsCD7h2IKAfglwB+aq110B+bYv0mAB8B8FqUxRWN0gCUklCNa3Gg93bDYBgcbzcLHf+BH9ao67KBMDEtDqwQGSk/HzG1owuIjChn2r1QMQ7yMQ9cEeEsCM3H7Varqn+A+T/bNQD+NdmSmoehxjsaAekIMqy5AcAHiGg9gA9Y90FEs4noR9Y+nwDwHgCf9mg79zMiehXAqwAmAfjnKIszB6BY4sgSU/V2nN2CVQnVKAWrTqVFee5OD5EuDtQjEhW6argz39EOYqlcR9EwbIfcvWAyMqhydCUqJKohCE0GM6v/iS4FcFyStQiNhXQEGb4w8x4AZ3tsXwHgs9btxQAW+zx/fpz1FTTHWbmKQZGKWvA7rluwKjM0Lse50qS8koA3LyIiXRwYKiLh3U86rr7WQecj7fpsRI07qhEnIpwFocmwVst/HGY8w/43zszXJ1WT0DjoHUGumT9DRLMQCUVNHKVi7w3mfXw1eMQWrGrvmMSa38htt2AlmKGVSAegaNZtMaQDr4irq0bQBY19UVWHvnF+5yMqJKohCM3HgzB7vhYAHNZ+BEE6ggixUNAmByptFJd88dNe7kyvEsxxLQ70a96gss/1yjj76cT6ZJy1EeQ+CQm9VWFcFzH6Yf0uaKJCHGdBaD6mMvP5SRchNB7SEUSIC7OTgdNVjMv489NeKiqgohpqt7hMTj9nU0UF7DqsrEZcTq9f+7XBgvN8KOIagOJ7PgqGPbAlLsdZ7+McV0RIIY6zIDQfy4joT5Iuohak+0M8DOeOIEJj0zdYRFvW2f4tLvlCPlGN/kFTKKo6FLE5zj6CtS9fdNRREvDR1ZEKEZHod9WhiHZxYOXBI3350mcjtoyz7jjHPKhQhLMgNAlE9CoRrQLwbgAvE9E6a0qY2j5skO4P8TCcO4IIjQszO8WR7TjHo2D8tJdbsJZCzrGU4StY7TpyynE2tych4NMpcoznjrqOtMP59t6nP19Eq7qoqoPqlAEogiCE5cNxHZiILgbwdQAnATjTWskfG9L9QRCGDwNWJKA15oEjCr+jlwnWuBSzha9QHFR1ZLQ6OL4Jhn4CftBAWzZdliuOMi2hv9e+deSLaMvF7DhrtyWqIQhCWHYA+CiAvwFwPoC3mPmP6qfGY78G4GMAnqnxOKHRuz8snNMpolkQGpS+QafTG3fjhK0H+nHn/27yrUO5mzHPYcFv1+7A0+vKBziWOd8WcV1QfP+pbmzcdcizjtZs+Qi9KOvQD3XNz1fi0EChvA6PGE/U6If94uKXYnkNhQhnQWge7gIwG+aAgwsA/HtUB2bmtcy8LqrjhUG6PwjC8MAtFONeHAgAX//VGgDOr+Xdmd6Sbo6vkE//5MWyOsoyzlYhcRrx31ryOpi57Hwo910nyjrcrv5Tr+8EMzviI315Q4tqxCWcS8ft3nUYPf15GAbHEhcaccJ5oFBMugRBiIuTmXkhM98G4CIAZyVd0FDRuz98+dwT7NiGiOfhgSzuHFmUIhJOcRT3V+b/u2E3ur6yBGu2HvSsQ2mpmMvAD57egK6vLLH1Ra/lfLdk6pNxBoA39/bi83e/hFO/9qi9TXd6deJqCQcAm/f24sxvPYHLfvS8va1fi2rUi027D+O4ryzBvz4avd8zooTz/6x8Cyd89RHPrzQEoQnIqxvMXP59WQWI6LdE9JrHz4Iqj3MVEa0gohW7du2qtgwA0v1huCOLO0cW7qiGyrFGLVivX3CK4/6jq7cDAB6xfqs62rN6tjj6pMZlczod93+6zEzCrd3WA0AthkvZFxCqjqjN1jOOGW/f3ry3F4+t2YG+fNGOS5jZ4niXsh05tsVx/829vdjVM4DnN+61t/UNFtHuIeCj5M9mHuW4//If9wEAbnk6+ov1ESWcH3nN/Me1bntPwpUIQiycRkQHrZ8eADPVbSI6WOnJzHwOM5/q8fNgNUUw8+3MPJuZZ0+ePHlIf4h0fxje6Is7b3xsnfSKbnL6XU5vXL16P/XO6Vg4t7Ns+44D/QBKjnOrq5tF1AL+Wx/9E5xw5Gj7/lHjWgEAr71lXti7nd5SVCPa8/LAF+fZt9XfDgBrt5Uc+LZsvDKvJZPGc9eVprn39Jc8m4P9+VIdMTvOnRPb8ZPP/Kl9/409vfbtqOMa0lVDEJoEZq7vd2GCEICM9h45+PUtjiNbrMcdtluCOW+NrCvLONsTDKOvQz+myhX3DmpOr+eivMjL8OSw5Tj354uY2JGL/fX092T3oQH7du9AEWNas76LFOOsY+v+PgDA5XOPAXO0ue6KlyJENI2IniKitUS0moi+ZG2fQESPE9F66/d4azsR0U1EtMHqIfsO7VhXWPuvJ6IrovszqiPmuJMgNB1E9FEi2gLgnQB+Q0SPVnqOMLKRxZ0jB3c3C8SYLdbF0TZLOKsR12V1IP5FigCwv890VtXEQLfDGscAlCD081GPbLH+d+3sKQnnfNFA0WAMFgzPC4moSXt8Nj79rumRL0gM4+EXAPw1M58EYC6Aq4noZADXAniCmY8H8IR1HzBX8x9v/VwF4BbAFNoAvgZgDoAzAXxNiW1BEBobZv4lM09l5hZmPpKZz0u6JqFxkcWdIwvVx9leDBdTthhwirRdlkgrWI7zQMFAioBs2hnViANdjKt4ghKsA3kDuYwe1VAZ5zoJZ+185NLxJ3J1Xao7zgVLNANALlPfOtRnY3x79I57xb+Embcx88vW7R4AawEcDWABzPZXsH5/xLq9AMBP2eR5AOOIaAqA8wA8zsx7mXkfgMdh9pqtG3X6zAqCIIxoZHHnyEIJtYxbsMagnHUdqKIRyunNG4Zdg07c3zLnrUko6jwUDMMxrc8eYFgnDaLOR6HofT6iRs+0q4so9foqRuOeXhgHurOsPhtxCPaqMs5ENB3ALADLARzJzNsAU1wT0RHWbkcDeFN72hZrm99292tcBdOpRmdn+SIAQRAEobHxWsQ5r2uS5JybFCXUMnYXifjQxZHKVheUcC0ysqlywRpHVkM/ospWlwQr2+dCJ64exm6UgM8bXHfBOqgJ53yRbRfe63xETdrjsxHH64aW4kQ0CsADAP6KmYNW6HtVyQHbnRsiWJFfibjzToIgCIIwUlDiqBSRUFGNeBcH2kLV8HZYU3Yd0aN3atAdXvO+sw67q0YMdXhR0B3nVD0iEt5/WdFg+5zUw/nWNXLe9ZmM9HXC7EREWZii+WfM/Atr8w4rggHrt5o7uQXANO3pUwFsDdheNySqIQiCIAjRUopqWI6z9f9aI46ohsf/yAt2VMPpsNp1xFGIB7aAL6uj3hlnzfmug+Ps9Z4AZnQmbygBWwfn21UHUTytEcN01SAAPwawlplv1B56CIDqjHEFgAe17Z+yumvMBXDAinQ8CuBcIhpvLQo819omCIIgCMIwxXb3UmpxoEks4449dJCdLXY5rDFGrT2PaWed3XXYkwNjKMQD2/k2jFgcVzd+1wOFouY4J+B8Z2N6zTAZ53cBuBzAq0T0irXtKwBuAHAfEV0JYDOAi63HlgD4IIANAHoBfAYAmHkvEf0TgBet/a5n5tJomToS59x6QRAEQRhJlL6OdzrOcfyf1muIiCNb7OH01gvVzzlfZJ/FgfWpp1LWOmr8XN1C0Sjl3+vhfLvqiGsQT0XhzMy/g38052yP/RnA1T7HugPAHdUUGCVUt4SRIAiCIESH1dL1vwBMB/AGgE9YHarc+xUBvGrd3czMF1rbjwVwL4AJAF4GcDkzD0ZRm4oG1EMceWlP52I4j64adbKcS5lr72xxvXR8wTDAzCgYXKdssV9Ug+33JgnnO67P44gauS0IgiA0N7cu7S7rF72sezduXdqdUEWR4Tc7wU0fM59u/Vyobf82gO9az98H4MqoClMRhdJX4/ENHvE6pnMxXLlYqtd3zKXISLLOd77I9sVMtg6Os99LFIpGYl01gPjEughnQRAEoWmYOXWsY9iKGsYyc+rYhCurGb/ZCRWx1irNB3D/UJ5fiUKRkaJSW7I4oxpB2eJ8kT27WcSRtfaioPWT1kVbKfNdlzKsbLH6FqAeTq+P41zk0kVVAs53XGJdhLMgCIIwLPFylwHgvFOOxKJ7VuLGx9bZEwyboIe0Y3YCgCN89mslohVE9DwRKXE8EcB+Zi5Y9z3nKADmLAXr+St27doVqjD34JE4+yd7UTRKEQlntjg+lzN4caAzW1y6kKjX+ajv4BH/OriuMZ6yxYHiOAuCIAhCCT93+c9OOwoL53Tipic3YOGczmEjmonot0T0msfPgioO08nMswFcBuB7RNSFkHMUgKHNUigbPBJj/2QvMe63GK7kOMdRSDkFbXGg0+mN0YL3IG/Ud/CIHwXDsC8m6tFVwx3ViEusVzU5UBAEQRAaBTXKe9E9K7FwTicWL9+Mmy+bBQBYvHwzrpk/A4uXb8bcrolViedbl3Zj5tSxjucs696NVVsOeE5FjApmPsfvMSLaQURTrEm9+uwE9zG2Wr83EtHTMKf9PgBgHBFlLNc50jkK7sEjf3L0WFx65jRc9Z74zpXj9Q3vwSOL3j8Dew4N4NI50U8h9op/6KO3daf37ivPxL0vbMbk0S2R1+GFmS0uHzzy4ytmY/3OQ3WpAXBODtTPxz8tOAVj23ORv577GiGurhoj0nHWP+8rN+9zjIgUBEEQhg/zuiY53GUAdjzjy+eeYAtrr0iHHw2ak/abnWBjzUlosW5PgtlOdo3V7eopABcFPX+ouAePpFOEf/nYTBw7qSOql7DxMm3txYGuOsZ35PC9S2ZhVEt9PMKCw/kuyauTpozBNxacWtd2dF6DR84+6chYL/zcFIqGNhyndD4uf+d0XHjaUZG/Xr36OI8s4ez6zK7f0YOP/mAZvrVkbTL1CIIgCDWxrHu3w13+1e+3OjLNypVeteVA6GPqTnYD5aRvAPCB/9/eucfJUZV5//vMLRNCLpAgEkJEB0RBImAkGF0EREBcie6iorKLK76owLKiK6KosIq+rODlw6LwYgBRLoIXLsvFhIuAEBISICQBEjK5kEwIuQG5ksyln/ePOtVTXd09093TXad65vl+Pv2ZquqqU78+p87UU0895zkishT4qFtHRCaLyHS3z7uBeSLyHIGhfJmqvuC++zbwDRFpJ4h5vq5awpKa2rkYxSYeqSUFDfiI59tnbHF3JpPoxCPF6Mpobx7nJLJ7WKhG7dm0PUhh+cLaLZ6VGIZhGOUSeoJDo/aotrHZGOcoU9vGlW30Rj3Z5x13gG+jGVXdROG5E+YBX3bLs4BDixy/HDiyFtqSmtoZiqSjKzLxSNI6uiKe76TqoxDdPZroxCPFdWQioRoJxDjHs2rY4MDqkXe920SChmEYdceCjs0D9i4XI+7JLifUY6hRbOKRJBCJhmr49Xz3ZBRVpSejnj3wyU48UozuiI5ksmrkrtcqh/WQ9jjbPIKGYRj1S6F4zUq8y3GKebJTEK6RSopNPFIL4indWpsa2dXd43Qk6PmO6Rje3EhXZIppX6Eaw5sbg3R03f6yarQ0NtDZk6E7EqpRq3jjKEmFagwpj7MZyoZhGEZ/1NKTPRjJT79WO+IhEsNbGskoZDKaN/FIkrQ2N9Cd0YKD4ZLW0eXqAvx4nMNsFrnZPZLP41wrr/+QMpyLkVRScsMwjMHAIJ7WGgg82XHP8tS2cYlmJEg7s9o38g8/fZgX127JS7+WJMObG4FgEpZ4HudakmfANzfSHfE4+8qfHOro9hjjHBrOgQGfnI78GGfzOFeNMP9i0vPHG4ZhDAZSmq7NSJCujLL6tTfZ0dlNd4/WLGdunLiba3iLM5zdgDhfg+GGtzS6vMVhNou06EjezFMNBml29SSb3SN+ilqdc0jFOBczlJOaVcgwDGMwUGziEYv/HTq0uBCAXd1Brt4kYlgLMcIZzp3dGXoSHBwYtxtGDGti85s7s9N/+wrVGDGsic7uTDbTiI83AYqLc+7OROrDx5Tb5nGuOuZwNgzDqIz4xCNmNA8tWpoC86GrJ8gikZjHuUCMM5A1FpPSESccHBgarL48zq3NjXT29BqsPupDNbg+kq6P/Cm3LcbZMAzDSAmWrm1oE3qcQ6+iL4N192HNQDDpSMajjpGtTTke1niGh6QY1pTr6fVRHw0SDErMqY8EPJXxU7SY4Vw7og+w1z++gtnLN3nTYhiGkXai6doqndbaqG9Cj3PShnN8MP+o4UHE6a7uDD2a3ODAOKNam+nsyZBRvx7nrOGsHg3nBqElZsAn4nGOWc6tzWY4V51CzfjDe17gtGtnJ67FMAyjXrB0bUbWcO7poUf9eXpHtQYe59BI8+XpHTW8mZ6M0tkdDIbzVR8tTQ3eQzWanOG8K2Ed+THONjiwZqiNDjQMwyiZWk08YtQP2RjnbqUnk8yreCAvrcao4c5wdkZa3OtYMxkxu2FUa2BO7ewKDOfE6iNGc2MQW5w1WD3oaGxooKWxga7uwAMvkkwWs/hDU63aYEh7nA3DKA0RuVxEFovIAhG5Q0TG+NZkGIY/wowFu7KxxcmcN+7mCg3Wzu4MGU0utjiuY6TzfO90sxh68zi72OIwZMSHB76xIdfz7cN4B8vjXBUsiYZhVMwDwHtUdRLwEvAdz3oMw/DIsMZIGrgEQzXiXsTQ4xxOu52UkRY3ysJ42jc7Ax2+PM7x2GIfRmuT8ziH14av8JlaXZNDynA2DKMyVHWmqna71dnABJ96DMPwS286unBwYDLmxDnHtnH6UROz62GMc2iwJuX5/u2/HcnXjukNWQrjad/sStbjfPOXp3Dhx96Vo8NHjPPPPv3ebH00NERCRhKczRHgWycexPHv3huo3UPDkDScw9Aky+NsGBXxJeD+Yl+KyFkiMk9E5m3YsCFBWYZhJEVeVo2E7qcjW5u59JOHZtfDrBq9BmsyZk3bXrvz7ZN6DdawPnY6HUkZix88YBxnfujt2fUwq0Ym4awa//y+CXz80H0A53GOZPdI0ut9zrEHcPD4UYB5nKtCsbbra2jgrGUbuX/h2proMYw0ISIPisiiAp9pkX0uArqBm4uVo6rXqupkVZ281157JSHdMIyEaWwQGiQF2Sw8eZzjhIZzNlQjwfqIGulhbHG3h6waYfhKY5hVozuIf0/62ujJ1Hba834vMRG5XkTWi8iiyLY9ReQBEVnq/u7htouIXCki7W4Q0RGRY85w+y8VkTNq8mvKpv9K/fxv5vC1m59JQIth+EVVj1fV9xT43AVBHwb+EfiCWioawxjyhLPDZRL2KkYZmc1m4Te2OC9UI0Ed0YwVzY0NqJJNi5dkfYR3hUaRIKtGT7Lx7yE9wU+vmcFeyrPZb4GTYtsuBB5S1QOBh9w6wMeAA93nLOBqCAxt4GJgCnAkcHFobPsgnkDdTADD6BsROQn4NnCKqu7wrccwKuWaR5flTdQya9lGrnl0mSdF9UtLY+BV9DlzYNbT2+U/fzJE0tF59nzv9FAf0VkTe7NqJP8wE3qcvYVqqOpjwGuxzdOAG93yjcAnI9t/pwGzgTEisg9wIvCAqr6mqq8TjNCPG+OJYzHOhlEyVwEjgQdEZL6IXONbkGFUwqQJo3NmOQxnQZw0YbRnZfVHS1Njdra8pA3WQ/cN2qvF06C8OMM8epxDDt13dH59JKhjzxEtABz9znG9afEyyc/m+B53bRy8z6ialF/pBCh7q+paAFVdKyJvcdv3BVZH9utw24ptz0NEziLwVjNx4sRCu1SM2cmGURmqeoBvDUZ6uebRZUyaMDpnApRZyzayoGNzwclSfBLOcnjuLc9y+pSJ3DRnVc4siEbpDGsKJrno9uBxvu0rR7FtZ3feoLykvZvzf/BRANrXb8vRkXR9zPnuRxjZ2sRfnlmToyNJz/f4McP5+wXHMn7McC65+3m6etTLtTHtsH1574Qx7D9uRE3Kr3aVFqod7WN7/sYaDCzqLxyznEiNjtd3cNPslwcmyDAMI0K9hw/Umxd3ats4Tp8ykSsfbuf0KRPrwmguNrYots+x7o1Q+NkpIp903/1WRFZEvjtsoJqaGiWbji5pg3W3libeMqo1G1ucdDaLkDG7tTBmtxaaYjqSNhb3HtXKbi1N2Ylpeusj2ZiR/fbcjcYGCa4Nl93DR9hKrYxmqNxwXudCMHB/17vtHcB+kf0mAK/0sd0L2XR0FRz7ud/M5nt3LmLrzq6qajIMY+hSb4ZnnKgX9+czl3DuLc+m2os7a9lGbpqzivOOO4Cb5qzKe2hJKcXGFmVR1b+p6mGqehhwHLADmBnZ5Vvh96o6f6CCmhqEroy6mQM9zQ7nzrsrG1ucDh3+6qMhR4evWOvmxga6Mn5nDqwVlVbp3UCYGeMM4K7I9n912TWOAja7kI4ZwAkisod7Sj7BbUuUonOllzE68I3tgcGcsQGFhmFUiXozPAtRL17c8KHkqs8fzjdOOChb73VgPBcbW1SMU4H7azmYt7mxgefXbGZ7Z483QzE871Mrg6FYvoy00PM97+VAh6/sHmFKuBfWbgH81UdTg7CzK8Pq13d4e5ipFaWko7sVeBI4SEQ6RORM4DLgoyKyFPioWwe4D1gOtAO/Ac4GUNXXgB8Bc93nh25bosRDNooa0n0RHmKGs2EYVaReDM9i1IsXd0HH5pyHkvChZUHHZs/K+iVnbBHwln72Pw24Nbbtxy5V7C9EZFihg8qZwKgno6zcFNjlvgzn8D6+YuN2rzrC8y7b4FdH6HFeuGazZx3BeZ9d9Ubi4TO1pt/Bgar6uSJffaTAvgqcU6Sc64Hry1JXY0JDuhwbON7867bs5Mwb53LdGe9n71GtVdNmGMbQIm54HtU2tm6M56gXd2rbOI5qG5tar3mhwYpT28alQqeIPAi8tcBXF5VZzj7AoeS+2f0O8CrQAlxLkF7yh/FjVfVa9z2TJ0/u8/YY/TItr+N9eTebY1MnejNYIzpEKnQQVkVHr1/Wl/e9VgyxmQOr13hhLuib56xi0Zot3PrUqqqVbRjG0KKOwweAuvbipop+JiEqNraoEJ8B7lDV7GAcVV3rUsXuAm6dNCSWAAAZpUlEQVQgmFNhQETvqGl5He/LgI8byt5CNSI6fD7MRA14Xw8RtWJIGM7FQphDQ7qcJg2PiZdpk6gYhlEp9W54fvXDbXke26lt48pKRVfvmUUSoNjYokJ8jliYRsToFoL46EUFjiuLNHqcfRlpzbG5vn2FJ+R4ej0arDkGvBnO9U+e0VvGsfH/DfGQ5+6eDFN+8iB3zV9ToTrDMIYa1TA86516zyySAAXHFonIZBGZHu4kIvsTZLF6NHb8zSKyEFgIjAMuHaig6LihxpRYE75jnH3rSEs8cTQN3mAL1ah0ApRBQTWaMns9uH8g23f1sG7LLr535yKmHVZwjhfDMAwjhk1M0jequonCY4vmAV+OrK+kwARjqnpc1TVFlht95T2L4cuAb479ft9p8QCvSQyioRppMearRTqu9IQo1nSVhFmEh4grNVtEgZM89OI65q1MPImIYRhGXVHvmUWGHJF7Z1o8zr7TwIV4SwOXkobI8Tib4Ty06XUwB/8xivaNyD+UM2+cx6nXPFlTXYZhGPVOvaS0M/JJy+v4tIRq+HLAR7276tHlnDM4MCXXRrUYEoZz/NLJeosrSePcz0Hh131drk8u28R1j68o/+SGYRiDlHrPLDIUyQ3VSIdx5HsCFN86ogarz6QFNjhwsFBs4sAKnsryjPHYNN7xyVaifO43s/nRPS9EjlW27+ouW4NhGEOXwZaFot4ziwxFcgcHpsM48qUjftomTy5nX+eNk5bsHrUgHTXsCalgeGBsLGAkq0YYulF+mTc8sZJDLp7BK2+8WfaxhmEMTQZbFgrLLFLfDPVQjfi931uoRmM62qE5J5+0RyE1YEgaznFvcDmvM3pDMXJjnAeS4u7+RWsBWP1aMHXp1p1dfOJ/Hmfpuq1llGIYxlAimoXi5zOXpHamPmPwEr3PpSVzQlq8m97ySUcsdp/TSzTmhGoMLlNzcP0aD8SfMuMe6ZLKiGXmeHzpRhau2cwVM5dk9/nV39otM4dhGDlYFgrDJ9H7XGoM1pR4vn154BtzYpz9mc7RmO+UJPqoGoPs5xQmmwEjFppRzFvcN4U7Q3zAYTlx03EdhXRdPmNJTmaO2+eu5ndPriz5HIZhDD4sC4Xhk+h9Li0G61CPtW7Oyarhj0YbHDg4qGpqln6m3K4o/CN7UCw3dAEu+PMCfnDX89n1m2a/zORLH8zZZ92WnaWLMAyjrrAsFIZvove5tBhHqYm19uVxTkk7RH9+WtqkWgwpw7maFEtpV9mAw8Ke8HL43p2L2LhtV3b9rvlrmPKTh5gbCe/4/eyXWb/VjGnDGAxYFgojTaQmVCMlOrzNHBiJi/CZji6ND1XVYkgZzpUYtXll9FPEQLzauf7mCmc0dAeFBvPitVuAYODh9+9cxFd+/3R238mXPsC5tzyTXX9p3VYeX2reKsOoBywLheGbHOMoJV7FwRZPWy7NKUlhETVffBrwtWCIX2Llk5+OLgyriGXqKKfMvBhnV2YFV1tcV8atd7uF17d3ZvfduK2Texasza6f8IvHOP26Odn16X9fzv4X3suWnV0A7Oru4ZK7n2fzm13ZfZa8upWtO3vXDcMwjKFHS1M6zImWxkbfErwS9e6mxdFrHuc6pNjMgcXW+6JYOrqBFJpXZhl64uQNUtTcMjNl6LrlqVUArN8ShID85Zk1/HbWSn4WyfZx4i8f41+ueyq7ftIvH+Offv1Edn3O8k38PLL/zq4e/vx0R85DwYqN2+kpR5hhGIbhnej/8dbmdJgTadHhi2g6uiaP7vfotZGWVIXVYkhdYbV8k5RvN5eRVSP0WsezalSgI+MKCYPxB5LtoyHm+Q7L7urJLWP+6jeyy4tf3cozq3rXP3vtbK58uD27ftn9i/nmH5/j0Zc2APDypu0ce8UjOcb4/hfey9k394aU/PSvizknElLy4totXHrPC1ldnd0Zrnp4Kbu6e7L7PPTiOjZFYr5XbNyeM8HM1p1dOeuqmhf/HZ/NMZPRst4CdPVk2Lqzyx4KDMMYlET/s7U2p8PTOywlOnwRja1u8Wk4R5abU/I2oloMrl9TJpUY0nlGrttenUlVYutlFFIstV5os/UawWXoipXR+9srNwQ3OGN2687AKN2wNVifsyI3R/V9C1/NLv/6kWXcGwkp+cL0OUx/fAWvubCTG2et5IqZL3Hd4ysA2NHZzZk3zuOMG3o94cde8QhTL3s4u37KVU/krF/96DKO/PFDrNoUTEKzbMM2Drl4BrfPXZ3d5x3fvY/zb5ufXT/pl48x5Se9mUyumLGE/S+8N7v++NKNHHrJTBauscFahmEMPj50QG+MfWuTP4N1n9GtvTqGuMc5is9ZBMePHp5dbjaP8yAgL3Vc5YZgMeO7khLj+abLcVT2GrnxGQ0rN+h7vdahF7v8MuIU05kp5yHB/Q2P2NkVeJp37OpxZQXbl2/YXrSMFRtzv3vMecA73ggM5/b12wCY+cK6nP3unP9Kdnnxq1tZt6XXq33V3wLPus+k84ZhGEnx408dml0e5tFgnXH+0dlln17Wh775YW/njvKLz74X8BsicdBbR3La+/cDbObAQcVAsmwUM41Cm6k8b3Esb3MlnvCYBR/3MA/Ei53J5JZZjpEbJ19XBZ7wIhPG9Iap5K5XoiseplIOYWhGNWLWDcMYGNc8uiwvt/WsZRu55tFlnhQNHqIDAn16nEe1NmeX4/fCJHnrqNb+d0qAt40dAUCTZ4N14tjdgPRk+qgWQ8JwjodVDIRieZur4YUlprOsQYvub9aTmy2jcMxzSWXGPM5kDdIyCokRN2orMcbjWUckW0Yos3yPfVxH1rteehERA76Mg+oEEfmRiCwQkfkiMlNExvvWlFbMUEsXkyaMzpkYJpw4ZtKE0Z6VDS4sRCI92SPC1IDNTX71dLvxUM2DLEfg4Po1JTKQXMtFY5rzzlFGmXmZOsr3dsa9sOEAgbgHtTwvbKzMuCFdAfmeXSrWlR+/HQ9LqcC7PqD6yj0m7hGvcy5X1UmqehhwD/AD34LSihlq6SKcGObcW57l5zOXZGdbjOfANgbGUB+UB+nJHhEa8M2ePc7dPcHrap+x1rWgybcAnxQbUNf3McVCIAagg9wyKrnEAi+r5nmcMwPQmRcSEdNZDqqKiES8wzFPeBW8w3EjdyAe50q8xw0CPQV0DAZUdUtkdQSVhfEPCaKG2ulTJnLTnFVmqHlmats4Tp8ykSsfbue84w6wtqgB5nFOkcfZ6fBtsHZlzONcFUTkJBFZIiLtInJhsudO7lyJG+Px0IIiuaHLKzJmoLqrpRLDsJgBX5mBmht20hAL1Qh/c2Xe9bhBX34ISTbGORY6Uu+IyI9FZDXwBfrwOIvIWSIyT0TmbdiwITmBKSJqqJ0+ZWJFhpqFfFSPWcs2ctOcVZx33AHcNGdVXr3WAyLyaRF5XkQyIjK5j/0K3mNF5O0iMkdElorIbSLSUk19PgflpQWf8dVRwnuQ7xjnrMc5JQ8U1SLRWhWRRuBXwMeAg4HPicjBSWrI1VONMgYevhA3aovNRtgXWcMvNpBPewt16xWUmV2vPJ67mHe4MgPVlZHpOzNHJV7sngEMhMz+tkzp500TIvKgiCwq8JkGoKoXqep+wM3AucXKUdVrVXWyqk7ea6+9kpKfKqphqFnIR3UI6+2qzx/ON044KPs2oA6N50XAPwGPFduhn3vsfwO/UNUDgdeBM6spLi1GoxHMIQD+8yd3DdIY56RDNY4E2lV1OYCI/AGYBrxQSWH/8YdnCxpH5936bM76+bfPp1GEu58LUold+VA7T7RvYqPLKbxk3da8Y4qtr3GTZvzgrkWMbG3O/vO94YmVbNrWSXfEaiq1zIcWrwfg8hmL+d/nXsmmSnuifVPJZezsCs777T8voKWpgb8uCvIgX/PIMpa8ujWbsm3jts6Sy3yuI8g/fOk9LzB+zPBsPuKwHkspI+Trt8XbYCmzlm1i0/agDRa/WnobdLwetMH371rEqAJtEJ1wpNw2+OlfgzZYuWngbfDq5mBClXq5n6jq8SXuegtwL3BxDeXULVFDbWrbOI5qG1tRXK2FfFSHBR2bc+otrNcFHZvrqi5V9UXo10AteI8VkReB44DPu/1uBC4Brq6VXsMfWYPVs6c3a8BbjPOA2BdYHVnvAKZEdxCRs4CzACZOnNhnYQvXbC5oOMcnnHjhlSA8c7eWRnZ09tCdybBwzeYcb2L8mP7WV2zcnhOzO3JYU9llhOtNDUJ3Rtm+q4eFazbnGN/llrlk3dbgtw5rpHNHhuamhop1hazfuotN2zvZ5Yzvlsbyy4y3QY/qgNtgZawNdq9CG+zorF4bALx3wmj222M36h0ROVBVl7rVU4DFPvWkmWoaahabO3C++uG2vG1T28YN1rosdo8dC7yhqt2R7fsWKqCcezDA5adOYtayTQOQXB3OPqaNYR5T4oWcfOhbOfGQt3rVMGnCaA6fOIaLP3GIVx1fObqN+avf4OOTBlcSpqQN50KPHTmmr6peC1wLMHny5D7fkz/8zWOqJswwjD65TEQOAjLAy8BXPetJLdU01OIhH0e1jR2sBp9BEC4FFLK6LlLVu0oposA27WN7/sYy7sEAn568H5+evF8J0mrLBSe9y7cEAH79hff5lkBrcyN3nP1B3zKYOHY37j3vH3zLqDpJG84dQLSHTQDy3/sbhpEqVPWffWsYalQr5MOoH8oIlypGsXvsRmCMiDQ5r7Pdew2jQpKO2J4LHOhG97YApwF3J6zBMAwj9fQV8mEYRSh4j9Vg9PXfgFPdfmcApXiwDcOIkajh7J50zwVmAC8Ct6vq80lqMAzDqAe++uG2PM/y1LZxBUNBjMGPiHxKRDqADwD3isgMt328iNwH/d5jvw18Q0TaCWKer0v6NxjGYCDxCVBU9T7gvqTPaxiGYRj1iqreAdxRYPsrwMmR9YL3WJdp48haajSMocDgSq5nGIZhGIZhGDXCDGfDMAzDMAzDKAEznA3DMAzDMAyjBMxwNgzDMAzDMIwSMMPZMAzDMAzDMEpAtNCc1SlBRDYQzFLWF+MIkrunHdNZXQaTzrep6l5JiEmaAn24XtoNTGstqSe9/WkdSv03Tlra0XTkYjpyqWofTrXhXAoiMk9VJ/vW0R+ms7qYzvqknurDtNaOetJbT1qTJi11YzpMR5I6LFTDMAzDMAzDMErADGfDMAzDMAzDKIHBYDhf61tAiZjO6mI665N6qg/TWjvqSW89aU2atNSN6cjFdORSVR11H+NsGIZhGIZhGEkwGDzOhmEYhmEYhlFzzHA2DMMwDMMwjBKoW8NZRE4SkSUi0i4iF3rSsFJEForIfBGZ57btKSIPiMhS93cPt11E5Eqnd4GIHBEp5wy3/1IROaNK2q4XkfUisiiyrWraROR97re3u2OlijovEZE1rl7ni8jJke++4865REROjGwveD2IyNtFZI7Tf5uItFSocz8R+ZuIvCgiz4vIf7jtqavTNJKG/up0pLbPunLrot/2oTV1fdeVZf23BPrrpyIyzLVFu2ub/SPfldW+Seoo1v4+6sN91ygiz4rIPT40iMgYEfmTiCx2dfIBTzrOd+2xSERuFZHWWukQkbHuGtgmIlfFjimv76pq3X2ARmAZ8A6gBXgOONiDjpXAuNi2nwIXuuULgf92yycD9wMCHAXMcdv3BJa7v3u45T2qoO1o4AhgUS20AU8BH3DH3A98rIo6LwH+s8C+B7u2Hga83V0DjX1dD8DtwGlu+RrgaxXq3Ac4wi2PBF5yelJXp2n7pKW/Oi2p7bN99IdUXmP10nfd8dZ/+6+jfvspcDZwjVs+Dbit0vZNWEfB9k9aR+S4bwC3APf40ADcCHzZLbcAYzy0yb7ACmB4pL9/sYY6RgAfAr4KXBU7pqy+W68e5yOBdlVdrqqdwB+AaZ41hUwjuChxfz8Z2f47DZgNjBGRfYATgQdU9TVVfR14ADhpoCJU9THgtVpoc9+NUtUnNbjqfhcpqxo6izEN+IOq7lLVFUA7wbVQ8HpwT43HAX8q8JvL1blWVZ9xy1uBFwk6furqNIWkub9CSvos1E+/7UNrMbz1XafV+m//lNJPo/X1J+Ajrq3Kat+kdfTR/knXByIyAfg4ML2f89dEg4iMInjovc7VR6eqvuGjLoAmYLiINAG7Aa/USoeqblfVx4Gd0Z0r6bv1ajjvC6yOrHfQfyeoBQrMFJGnReQst21vVV0LwT9r4C1uezHNSf6Wamnb1y3XUvO5ErwivV7c69MKdI4F3lDV7mrqdK9+DgfmUF916ou09Feovz5bTX1JXWOp7btg/bcPSrmus/u4ttlM0FbV7Cu10JEl1v4+dPwSuADI9HP+Wml4B7ABuMGFi0wXkRFJ61DVNcAVwCpgLbBZVWfWUEdfZZbVd+vVcC4Uf+Ijr94HVfUI4GPAOSJydB/7FtOcht9SrrZaa74aaAMOI+hQP3PbvesUkd2BPwNfV9Utfe1apqY0XAe1Ik2/bbD0WUjnNZbavgvWf/uhlN+QRL3UQkdwUOntXxMdIvKPwHpVfbqfc9dMA4GX9wjgalU9HNhOEKaUqA73UD2NIHxjPDBCRE6voY6BlJlDvRrOHcB+kfUJ9O/irzqq+or7ux64g+A1wjrn+g9fAax3uxfTnORvqZa2DrdcE82quk5Ve1Q1A/yG3tc65ercSPCKtakaOkWkmeCf7s2q+he3uS7q1DOp6K9Ql32WKuqr+TWW1r4L1n9LoJTrOruPa5vRBOE61ewrtdBRrP2T1vFB4BQRWUkQZnCciNyUsIYOoENVQ4/7nwgM6b6ohY7jgRWqukFVu4C/AFNrqKOvMsvru5qCQQnlfgiemJYTPKmEAeKHJKxhBDAysjyLIM7xcnIHm/zULX+c3MEmT7ntexIEyO/hPiuAPaukcX9yB+5UTRsw1+0bBtOfXEWd+0SWzyeIjwI4hNxBBssJBgsUvR6AP5I7wOjsCjUKQezTL2PbU1mnafqkob86Hanvs0X6Q2qvsXrou+5467/911G//RQ4h9yBV7dX2r4J6yjY/knriB17DP0PDqyJBuDvwEFu+RLgcg9tMgV4niC2WQjikv+9Vjoi33+R/MGBZfVd75210g/BqOeXCEZYXuTh/O9wjfaca/yL3PaxwEPAUvc3/KcqwK+c3oXA5EhZXyIImG8H/q1K+m4leFXaRfBEdWY1tQGTgUXumKsgmIWySjp/73QsAO4m92Z8kTvnEiIjX4tdD66dnnL6/wgMq1Dnhwhe3ywA5rvPyWms0zR+fPfXyLWQ2j7bR39I5TVWL33XlWX9t7R6ymsL4IfAKW651bVFu2ubd1TavknqKNb+Puoj8v0x9GM417BNDgPmufq4kxKyAtVIx38Bi12/+T0l9PEB6lhJ4H3eRvA/K8zgU1bftSm3DcMwDMMwDKME6jXG2TAMwzAMwzASxQxnwzAMwzAMwygBM5wNwzAMwzAMowTMcDYMwzAMwzCMEjDD2TAMwzAMwzBKwAxnwzCMChCRHhGZH/ns71tTNRGRw0Vkulv+oohcFfv+ERGZ3MfxfxCRA2ut0zAMI0ma+t/FMAzDKMCbqnpYsS9FpElVu5MUVGW+C1w6gOOvBi4A/k915BiGYfjHPM6GYRhVwnlm/ygi/wvMdNu+JSJzRWSBiPxXZN+LRGSJiDwoIreKyH+67VlProiMc9PzIiKNInJ5pKyvuO3HuGP+JCKLReRmERH33ftFZJaIPCciT4nISBH5u4gcFtHxhIhMiv2OkcAkVX2uhN98SsTrvkREVriv/g4cH5k22zAMo+6xf2iGYRiVMVxE5rvlFar6Kbf8AQKj8zUROQE4EDiSYDa6u0XkaGA7wXSwhxP8H34GeLqf850JbFbV94vIMOAJEZnpvjucYGrbV4AngA+KyFPAbcBnVXWuiIwC3gSmE0w7+3UReSfBbF0LYucKZ9KK8lkR+VBk/QAAVb2bYJZAROR24FG3PSMi7cB7S/hthmEYdYEZzoZhGJVRLFTjAVV9zS2f4D7PuvXdCQzpkcAdqroDQETuLuF8JwCTRORUtz7aldUJPKWqHa6s+cD+wGZgrarOBVDVLe77PwLfF5FvEUwf/dsC59oH2BDbdpuqnhuuiMgj0S9F5AKCOvlVZPN6YDxmOBuGMUgww9kwDKO6bI8sC/B/VfX/RXcQka8DWuT4bnrD6FpjZf27qs6IlXUMsCuyqYfgf7sUOoeq7hCRB4BpwGcIvMtx3oydu09E5CPAp4GjY1+1urIMwzAGBRbjbBiGUTtmAF8Skd0BRGRfEXkL8BjwKREZ7uKJPxE5ZiXwPrd8aqysr4lIsyvrnSIyoo9zLwbGi8j73f4jI/HG04ErgbkR73iUF3GhGP0hIm8Dfg18RlXjRvI7gedLKccwDKMeMI+zYRhGjVDVmSLybuBJN15vG3C6qj4jIrcB84GXCQbShVwB3C4i/wI8HNk+nSAE4xk3+G8D8Mk+zt0pIp8F/kdEhhN4fo8Htqnq0yKyBbihyLGLRWS0iIxU1a39/MwvAmOBO9xvfEVVTxaRvQlCN9b2c7xhGEbdIKrF3hYahmEYSSAilxAYtFckdL7xwCPAu1Q1U2Sf84Gtqjq9wnOcD2xR1esqFmoYhpEyLFTDMAxjCCEi/wrMAS4qZjQ7riY3drpc3gBuHMDxhmEYqcM8zoZhGIZhGIZRAuZxNgzDMAzDMIwSMMPZMAzDMAzDMErADGfDMAzDMAzDKAEznA3DMAzDMAyjBMxwNgzDMAzDMIwS+P8WAVD/Z5lbLQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum4 = random_angle(spectrum)\n", "plot_three(spectrum4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Oboe\n", "\n", "Let's see what happens with more natural sounds. Here's recording of an oboe." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "if not os.path.exists('120994__thirsk__120-oboe.wav'):\n", " !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/120994__thirsk__120-oboe.wav" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from thinkdsp import read_wave\n", "\n", "wave = read_wave('120994__thirsk__120-oboe.wav')\n", "wave.make_audio()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'll select a segment where the pitch is constant." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "segment = wave.segment(start=0.05, duration=0.9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's what the original looks like." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = segment.make_spectrum()\n", "plot_three(spectrum, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here it is with all angles set to zero." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum2 = zero_angle(spectrum)\n", "plot_three(spectrum2, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Changing the phase structure seems to create a \"ringing\" effect, where volume varies over time.\n", "\n", "Here it is with the angles rotated by 1 radian." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum3 = rotate_angle(spectrum, 1)\n", "plot_three(spectrum3, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rotating the angles doesn't seem to cause ringing.\n", "\n", "And here it is with randomized angles." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum4 = random_angle(spectrum)\n", "plot_three(spectrum4, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Randomizing the angles seems to cause some ringing, and adds a breathy quality to the sound." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saxophone\n", "\n", "Let's try the same thing with a segment from a recording of a saxophone." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "if not os.path.exists('100475__iluppai__saxophone-weep.wav'):\n", " !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/100475__iluppai__saxophone-weep.wav" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "wave = read_wave('100475__iluppai__saxophone-weep.wav')\n", "wave.make_audio()\n", "segment = wave.segment(start=1.9, duration=0.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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fZXlfjmd2HyWZsI9PN5r9q0TAk8CpInKyiGSwxXFdOoaInA4sAB7zHFsgIlnn74uBNxPsje4YdqpGikzKliFxSNZwRVYuZYvBuAzijRZK5DN2FxzisaXPPTf5dPx86q6YB+04K4oyw2lXQsG71y7DKkNCYPfgGAkBq2wfn240+1eZKsaYEnAdcB/wPPBdY8yzInKDiHhTMi4HvmOqTa+vAzaJyH8ADwFfNMbETjiPFkqVjjPEIwfYFaS5tO29jkNNYIvBrnSKbIw6zm7SR5drt4mBmIcJq0Y23b6fq1mfqtH5N38URYH2JhT8vP8g607oY/MOe2irbGDdCX38vP8gH3tLvb3zlke2sXZlX9XnfXTbAbbsHIzEv+rtrF9/0RoVzUrLGGPuBe6tOfanNR//mc/zHgVe39biIsCb4wyuGEx3tKYJq0bCGQ7svEAF16rhtR90XqS6qRo5R6TGQcyDXVcunSSXUqtGy+jmQEWJF+1MKFgxP8fmHYMknH/3CYHNOwZZMT/n+/h22yk6kf2rKDOJUUcMZp2osDgka1RSNVIxsx94/OAQj46ze5ERx0hB7wXZaBuE86zvOCuKEg9ayWVulWd2HyWdEEplw4ZVC3jylcOkE8Izu/1TNbx2iivOO5G7Hn8tMjtFB7N/FWXGMFZyhHMb31JvlTHvwFs6yeBIocMV2YwULPry6Vh2nN1O+PB4qcMV2YwWy/Tl0/TlbXl7dLQY+eeYtR1nRVHmDmcu6yWXSfLedSt44pXDvHfdCnKZJGcu6w18TrsGFTuY/asoM4Jy2VC0DJnkxMBbnDrO+UySnlyKobF4iMGxSnRf/DrO+XSS7kyKYzERzuNFi3w6QW/Otv0cbcP3UIWzoiixpJVYt5MWdXP929bwyIsDXH+R8+fb1oRuDmyXnaKD2b+KMiNwEzQyqUQlVSMeHeeJHOe+fJrBNnQrJ4Mb3Zd37QeFzgvnEY/HOU4XGa5Vo9dZm64dZ0VR5gyt+JDXruzj5oe385UPrONTF5/OVz6wjpsf3h7oWfbaKdzHez/XbEDzpJW44grnbCpB1hniGo/BIJ43m9gVznHY0jdSKNGVSVXWSMdB0LsXOtlUgp5cOj7C2TNImUklODqmwllRlDlCK7Fut/1kO5+48JQqe8QnLjyF236y3fe154KdQvOklbji2jIyKY9VIwY5zgWPGOzLpymVTaWz2knGimVy6STz8xkADo90XjgXSmUyyQQiQk/OtmpYMVli416M9ebS2nFWFGV6EZETROQhEXleRJ4VkT+Yzs/frA/5mreews0Pb68SiTc/vJ1r3nqK7+Pngp1C86SVuFIRzsmJjnMc7AeFUpmEQCppC2fofHe3XDYUrLLT2U0hQiyGFgulcsVm05OzB/Hi4HMecxagAPTmUxwdjb4mTdVQFCWMEvBfjTG/FJEe4CkReWC6FirU+pDPX73IV/i1MyVjJqN50koc8Xac4yS6CtaEGJzvCOcjI0WWz893tCawz1UiIfTl0xyJgVWj6DlXlUG80WLlgqMTuEOnOSep5c9+66yK1zlKtOOsKEogxpg9xphfOn8fwt5itmI6PnerPuR2pWTMZDRPWokjXjHYziGuVimUyqSdXOklPVkABo6Nd7KkiXOVnBD0cbJqAJXvYae78+65cr+Hbz1tCeecMD/yzzPrhXMMfP2KMisQkVXAOuBxn/uuEZFNIrJpYGAgks/Xqg9ZRWI1c2EAcjLo0GTn8Vo13I5zO2LDWsW1RAAc12svT9p3dKyTJVH0dOcBlvbk2Ds42smSgOru/JIe23vd6YuMomfotJ3MWuGsmwMVJTpEZB7wz8AfGmPqtooYY24zxqw3xqxfsmRJJJ+zFR+yisR65sIA5GTQocnOM+4Rg+lkgq5MMjYd50xNx3l/h4WztzsPcOKiLl49ONLJkoBqj/PSHvsiY2Cow935UnXHuV2ox1lRlFBEJI0tmv/BGPMvna7HjzCROFctG+3c1DiTUT985ynUdFF7YxJnVrTKpJ2a3Ei6/TERg66gP2lhF/uHxiuxa51i3Ocio9PCuWjZFgMVzoqidAwREeAbwPPGmBs7XU8QKhKVVtChyc5SqHlLvTef6rg/Fqo7zmCnRRzrsKCvdFFT1SL18EiBfKazQ4vei4yebCoGwrn6gqxdzFqrhqIokfBm4ErgIhF52rm9q9NFKcpUUD98Z5nootod00XdWQ4Od1Z0QbX9AGBetvOrpGuHA7uzdr9zuNN1lSyytRcZHa5pvGLVaK9XVzvOiqIEYoz5GaATA8qsweuH37h6MeevXqQZ19NMrVXjuN4sv3ztSCdLAqoH3sAWqcOFTgvU6u78PGeYcqjjwrlMV2ZCQnZnUx0X8zocqCiKoigRo0OTnadg2ctOKsNlvTn2HR3r+HprbxwdQFcmybHxzi5mqb3I6HE6zh23kPhcZHS641y0dDhQURRFUSJF/fCdp1YMLu3JMl4qc3S0RF9X5xZoFKwy87ITsmheNsWewXilasyLycKYYslU+cFjYWuZplSNhq8etHJXRBaKyAMi8pLz5wLnuIjITSLSLyJbROSNnte6ynn8SyJyVfu+LEVRFEVR4khtUkRlCcpYhxdo1AwHxsl+4IpBV9h3XKTWdZyTHT9XtRcZ7aKZV3dX7r4OOB/4pIicCXwa+LEx5lTgx87HAO8ETnVu1wA3gy20gc8D5wEbgM+7YltRFCXO6NIMZboRkUtEZKvThPq0z/0fEpEBz9DuRz33xbpJNV7Tce5yYtVGi521RRStaqtGnLqorqDvydoXGR23apR8/OAdtrVMVxxdw1cPWbl7GfAt52HfAt7r/P0y4O+NzS+A+SKyDHgH8IAx5pAx5jDwAHBJpF+NX/3o6kBFUSbPLY9sI5mgamnG1366javv2KRLM5S2ICJJ4KvYjagzgcudhlUt/2iMOce5fd15buybVLVxdK5wHil03k/sFYNdmSSjHa6p9iIjXzlXnU+w8ArUnhheZLSLljzONSt3jzPG7AFbXIvIUudhK4AdnqftdI4FHa/9HNdgd6o58cQTWymv9pWm8FxFURQbd9PcJy48hevu3swFpy3h+5t38dlLz1BfrNIuNgD9xpjtACLyHeym1HNNPLfSpHKe6zapvt2mWlumVuC46QwjMRBeXuGcSSUolQ3lsiGR6IymqE3VcKPWClanBymtqvSKfCbV8YuM2OU4N1q5632ozzETcrz6QGSre7XTrCjK1HFTF25+eDtrlnTzr5t38d51K/jYW+qHzBQlIppqNAG/48wSfU9ETmjxuR2jUCqTSkhFjMam42yZKtHldlTdDnknqLUfiAiZZKIiEjtFrcc5k0pQsModTUaZ8IO39yKnKeEcsHJ3n2PBwPlzv3N8J3CC5+krgd0hx9uKaOdZUZQpsnH1Yi44bTFPvHKYDasW8MiLA7o0Q2knzTSa/jewyhizFvg/TFgnm2pSgf0Or4hsEpFNAwMDky62VfwsEQAjHfY4F0pW1dv8bke1kyK1UKqO7nP/7naiO0XtIGXGEavFDnbCa20t7aKZVI2glbv3AO7QwVXAv3mOf9BJ1zgfGHQsHfcBF4vIAsdvdbFzTFEUJdZ87afb+P7m3fz2uuX0DwxXbBsqnpU20bDRZIw5aIxx1+19DTi32ed6XiOid3hbo7ZbmY+LVaOmrkrHuYMi1S8pIpPqbMe5ZJUpm/qaoNPd+fh4nN2Vu78SkaedY58Fvgh8V0SuBl4Dfte5717gXUA/MAJ8GMAYc0hE/hfwpPO4G1wPlqIoSlx5dNsBbrz/JT576Rl87C2rK5vnPnHhKWzZOag+Z6UdPAmcKiInA7uA9wMf8D5ARJa5c0bAe7AH98FuSP25ZyDwYuAz7S+5eepi3+Ji1aipyxXOneyi+g28pZMSOzFfOVelMmQ7Upb9uYnBApQGK3ff5vN4A3wy4LVuB25vpUBFUZROsmXnIN/40HrfTXN+yzQUZaoYY0oich22CE4CtxtjnhWRG4BNxph7gOtF5D3YkbGHgA85z419k6rWqpGPQRydVTaUTbXoysTCqlHv2+20VcNPzDfbcf7/7tvKvc/s4Z7rfr1q2UwkdU3TcKBuDlQURQlBN80pncAYcy/2O7jeY3/q+ftnCOgkx71JNV47WOYIsPE4iMFUdWcXOlyXZW/os12zNulkoqOWiLCOcyNBf9fjr3JkpMgvXz3MW0+L1h4UmxxnRVGUuY4uQFGU6Ki1RDSbFDFWtPjk3b9k+8CxttQE1WIwHsOB5boOaibZuON8bLzE5bf9gmd2DbalJrcOl2yTHedcyn53Yf/QeOjjplJXLFI1FEVR5jJulrMrnl2fsy5AUZTWKZTKVRnA0Jxv91e7BvnBlj18/K6noq+pMlhW3dmFxl3UHYdGuOwrP2PXkdE21GXVC+cmhgO37j3KY9sP8qFvPhF9Tb7d+eYuMrqztnDed3Qs+rqscl13vh3MeuGsmwMVRZkqrq/5urs3c+P9W7nu7s185QPr1K6hKJPAr4uabkIMHjxWAODFfW3oOAekV0BjMfidJ1/jP3YOcvvPXo6+rpruPDgd5wY1HXPWXx9wzlmkNfmdqyYvMtyY5/1tEM7FUrnt3WaY1cJZ85sVRYmOjasXc8V5J3LTg/1ccd6JKpoVZZIUrXKdD7UZq8b+oQmxVYrYPhHWRW0kUg8M2eJ01+HoO85Fy5BOVeuZdDJBsRTeFBwcLQLQjuZr2HBgo+/hsLMq/NBIMfK6ilb9BVk7mMXCWVEUJToe3XaAux5/jesvWsNdj7+mGc6KMklKZUMqWWvVSDQcwvO+vf/KwZFIa5oQg8mqmrz3BXFw2BbOL+wNW6o8+brqOs6pBOMNBGpFOEdeUfhFRqPv4YjTCT8y0p5OeLsHA0GFs6IoSkNcT/NXPrCOT118esW2oeJZUVqnVLZXbnuxfbvhXdSjoxMLUrbuHYq0Jr91zRPDgeF1jRbtul49NMJYxJF646UymVSy6pjdcQ4XqEdHo+/ouvgJ50ocXUhdxphKx7kd9RVKRoWzoihKHNiyc7DK0+zNclYUpTVKlqkXzk2IwZGCxaLuDAmBrfuiFc5+65qb7Ti7i1uMmeg+R0XtNkOwBX0j+4jbcS4bGC9FK+YLlYuMeo9z2EXGeMneOOitL0qKVv3QaTtQ4awoitKAj1+wus7TvHH1Yt+MZ42uU5RwbKtGjW83JQ3F4GixxPyuNIvmZSMfLgvrojby7Y4WLNzrgIPHoo1ZK5bKVUkfbl2NajrmWV8+NBbtKnOr7OYlVy9lgfCLjGFPTe0QzoWSWjUURZnDzFQBqtF1ihJOySqTStR7nBsOlo1bdGdTLOrORJ4WUSrXd1FdYdhI0I8ULE5Y2AXAgYiFs1/HuZnovlHP+vKoRarbVU4mvNF94twXXJfbmV/Wl2NwtEi5HG3qWdEq1w1StgMVzoqixJKZKkA1uk5Rwila9R3nZpZ6jBYs8ukki+dlOTgcrUAtOWLQayFpposK9qrwE13hPBSxoPe5yGhm5fZIYaK7G7WfeKLj3JrH2fU3L+vLUTZwrBBtJ9zNcW43KpwVRYklM1WAuh1xb3Sd97iizHWsso/HuQnf7kixRFcmyaJ5mUqmc1SU/MRgk0s9RgsWy/vyABwZjb6u2nPVzMrtEU/H+WjEVg23O+/tOGeaiO4bdhI1ls+3z9VgxJF0atVQFGXOMxOzk9eu7OPaO5/im4++wvUXreGbj77CtXc+FftOuaJMF6Vy2TeOrpFAHSlYdGVTLOjKcDjiITw3FzrZYsfZGMNIocTiHnto0Zv8EU1dPt35pjrOFsf1ZoHorRpudz6daK3j7HbBK8I5cguJ5jhHgtHFgYoyY9HsZEWZfZTKhrRvqkb4L+yRcYuudJKuTJKRooWJ8Bd8yWfgrZk10m5SRFcmRU8uzdBYxGLQ5yKjmWUxIwWL43tzQPRWjUrHucVz5Xacl/XZdUUu6MsaRzcl2ryqXFHmDCJyu4jsF5FnpvPztpKdHKdBwi07B7n1ynP58MZV3PRgPx/euIpbrzxXo+sUxaFkGZK1w4HNWDUKtlWjO5vCKpuGj2+ppor9YKIu1yJRCIlYc4fwujJJevOpyG0RvraWZIKyCd+eOFoocXeO0FkAACAASURBVLwjUI9GLOYrFxktdufb3XG2f650OFBRlM5zB3DJdH/SVrKT2z1I2IowdyPqvJ1y73FFmevYK7drfbtNJEUULfKZFPm0vRDE3UIXTU31w4Ei0tAWMeIsPMmnk/Rko+8425nX9RcZ3pp96ypYLOjKkEkl2mbV8IrUVEIQadBxdi4yXD949B3n+sU67UCFs6IooRhjfgIcmu7P20p2crsHCVsR5rplUFHCsXxynLMNsokLpTJFy9Cdsa0aMCFao6oJ8E37CKtr1Omi5t2Oc9Qe53L9RUamicUsowXLrimXbkNN7kXGhIQUEXttelgcnZPjvGy+3Qk/EvFwoN8q93agwllRZgEi8msi8lUR2SIiAyLymojcKyKfFJG2T6WJyDUisklENg0MDLT70/nSzkHCVoS5bhlUlGCMMZTKPlaNBkkRriUin0nSlU05x6IThK7todXot5GKVSNli9Q2dJxr7QcVW0TA+TLGMFK0PPaRqGtyzlXtxU+DSMHhgoUILOzKkEm2pxOuHWdFURoiIj8EPgrch22pWAacCfwJkAP+TUTe084ajDG3GWPWG2PWL1mypJ2fKpB2DxI2K8xb6ZQrylzDzx8LTqpGqCXCFsldmRRdjlVjOEKrht9woPtxeMd5wuNsDwdG2921bS31w4EQLJwLVhmrbOjKpOjLp9swHFhv1QDbQtKoO9+VTpJICL35dOTC2SpPj8c51fbPoChKu7nSGFOrEo8Bv3RuXxaR+Oe4TQGvPWLj6sWcv3pR5HaNWmF+/upFMyIeT1HihGuJSPqukQ737AJ0Zz1WjUKEwtnHt+vW1ZTHuWLVaL8YbDSI53q/uxyrxpGRaKP7/BagQOMlNsNOnCBAXz7FYOSZ1/W2lnagHWdFmeH4iOZJPWYm0257hPqWlelGRC4Rka0i0i8in/a5/1Mi8pxjz/qxiJzkuc8Skaed2z3TW3k4bkcyHWDVCIqYc8VgPu2xahSj6+4WfVZue+sKorbjfKxQinSVdNHHD94o+s0V87ZVIx39AhTn89Y2d9MpCb/4GS/R7Vz09LWh46ypGlNE85uVuYaIvE9EXhKRQRE5KiJDInI0gtf9NvAYcLqI7BSRq6debbS02x6hvmVlOhGRJPBV4J3YtqvLReTMmodtBtYbY9YC3wP+ynPfqDHmHOfWVptWqwQN4WUbJEW4UWZdmVSl4xylVcMK6jg3GA6seJzTKXpzKYyBofFovde1FxmNOs4TA4t2Te2waqSTgkj9uWrYcc7YFz3zuzJtyXGu9ai3A7VqKMrs4a+A3zLGPB/lixpjLo/y9WYiQUkeatVQ2sQGoN8Ysx1ARL4DXAY85z7AGPOQ5/G/AK6Y1goniV/sG0x4iwsB298qXVSPVWM0QqtGsexfVyOrhitSc5kEvfk0AENjRfqcv0+FctlQNj5eYs+58mNCzCcrnV1jTJ3QnSylAC9xo+78SKFEd3ai4/zivqFI6nHxy7xuB7O246wLUJQ5yL6oRbPSOq1kPsdpcYsSK1YAOzwf73SOBXE18EPPxzkn5eYXIvLeoCd1Ig3HXTTit3IbCBwQ9Pp23a7lSISpGpaTAVwrLu1V4I29111OdxeiW7sdNLDY0ONcqLZqlMqG0Qij+0qWqeuCg/2uQWjHeXyi49wOq0bRKtd559vBrBXOijIH2SQi/ygilzu2jfeJyPs6XdRco5XM53YvblFmLH6//X3Vm4hcAawHvuQ5fKIxZj3wAeBvRMTXs9SJNJxSQMc5k2rg23WtGmmPVSPi4UC/Lmoj+4ErUvPpJPOydpf5WERWjQlbS7VUyzmpIkFi2Bvd15uza4oyy7lU9heo6Ya2luqO89BYqfI1RsF0dZzVqqEos4deYAS42HPMAP/SmXKq+dA3n+DNaxbxsbdM/A7/2k+38fP+g9zx4Q0drCxavJnPV5x3Inc9/lpgukcrj1XmFDuBEzwfrwR21z5IRN4O/L/ABcaYcfe4MWa38+d2EXkYWAfE4m2MUoDH2e04jwf5dj1WjWwqQUKitWrYvt36XmIuneDgcHD6w2jRIptKkEwI85yO83BEwtkdWKwVg/Oc4cigzYlVXfC8/djB0WJlBfdUCfIS59JJhkPeBajtOINta5nflZlyTW4+uHqcFUVpGmPMhztdQxgJgS/84AUAPvaW1Xztp9v4wg9e4KIzOpP73E68mc/XX7QmVAi38lhlzvAkcKqInAzsAt6P3T2uICLrgFuBS4wx+z3HFwAjxphxJ4byzVQPDnaUwEUjDZIihj1WDRGhK5OKOI6u7Ntx7sqk2HF4NPB5owWr0gGf53RToxoODOrOTwxH+n+e4cogZbIiUKNcglKy/Fdb5zNJDhwb93mGzUihOlUD7O2BUQhnK8Cj3g5UOCvKLEFEcthex7OwF58AYIz5SMeK8vDRt5zCL7Yf4gs/eIEHnt3HE68cpiuT5KNvOaXTpUVOK5nPmg+t1GKMKYnIddhLjZLA7caYZ0XkBmCTMeYebGvGPOCfHF/ua06CxuuAW0WkjG3H/KIx5jnfT9QBSiFDeBCcqlEZwkvZwiufSUbqcS46SRG15NLJ0M72iCcpojsbbcc5yA/udpyDLCHeiDzXqjEY4Xrrkk9EHkB3Jhl6MVOd4+zUFZHPuRRga2kHKpwVZfZwJ/AC8A7gBuD/AWIzLLhx9WK+ftV6PviNJ3jilcOkEsLXr1o/60RiK8tYpmNxizIzMcbcC9xbc+xPPX9/e8DzHgVe397qJk+lixowHBg28JZ3ts5BY5HWKlaAx7mrgUAfLZbIO13UyIVzYMc5fDjSa9VY2G13cw9FuAQlaLV1PuRdgKJVplAqVzrOPblw8d9yTdPYcdbhQEWZPawxxnwOGDbGfAu4lJj9An1292DlP7hS2fDs7tmXg9xK5rPmQytzjYpv12e1NYRErBWtymAZhIu0ydbl54/tyiRDEylcQQ/QnYlYDAZcZGRSCTLJBMcCPM6jhRIitj970TxbOB88Fp1wtsrGt7PbHXKR4RXzQMUPHtWK8qAc7nagHWdFmT2473kdEZGzgb3Aqs6VU43rae7KJPnor5/M13/2cpXnOa7c8sg21q7sq+oAP7rtAFt2DvrmO7eS+az50MpcI8iL2jBVY3yiswuNO8GTqcvPqpHPJBkrlimXTaXbXVVXwarUlUwI+XQyequGXyc8G/x5XDHvesHz6SQHQ7zHrVIM8Di7Fxl+52rE47sGKhaSoYi816XK5kftOCuK0jy3OYNBnwPuwV6WEJuhoNt/+grZVIKvX7WeT118Ol+/aj3ZVILbf/pKp0sLRSPjFCU6ig2GA4NSNUYKFl3piV5fV8RWjaA4usqylZDoty6PoJ+XS0VvPwiIfrvzF6+y+bXDdfeNFKtrWjQvE5oM0ipWwAKUfMbenDhWqj9XleFOx87SyKfdKu65Sk5DqkbDzyAit4vIfhF5xnPsz0Rkl4g87dze5bnvMyLSLyJbReQdnuOXOMf6ReTT0X8p/ujmbWWuYIz5ujHmsDHmEWPMKcaYpcaYWzpdl8vSviy1/9cmxD4eZ7bsHOQTF57CdXdv5sb7t3Ld3Zv5xIWnqJ1CUSaBFbDUI99gG+Bo0aIrW91xjjaOruwbR+faMIJE+kihVCVSF3SlOTwcURe14nH2t0UAfPn+F+vuG/V0wQEWzcuGpl20SjHIqpENPldux9mt27VqHIvIqhE3j/MdwCU+x//aGHOOc7sXQETOxI7NOct5zt+JSFJEksBXgXcCZwKXO49tG7o4UJkrOAsQEJFP+d06XZ/LH19yBqlkgmvvfIob79/KtXc+RSqZ4I8vOaPTpYWydmUfNz+8nQtOW8JND/ZzwWlLuPnh7dpxVpRJUArworre19FiQMTaeLVA7c6kQjODJ1NXUBcVggW9N1UDYEFXhkMRdXfDrBq3f+hNAL4LRIbHS1Xd+cXdmYg9zgFxdM5FxssHhn1qqvY4p5MJculEU9F9A0PjDdM3LCu4Ox81DYWzMeYnwKEmX+8y4DvGmHFjzMtAP7DBufUbY7YbYwrAd5zHKooydbqdP3sCbrFgy85Brn/bGopWmZse7Kdolbn+bWti37nduHoxn7jwFL6/eRcbVi3g+5t38YkLT1EfsqJMAteqUdvdncgmDhaoeY8YzDfZcT40XOBL973AvqNj4XUFdFGP67XfEfv92x7zfd7weKliOwDXFhFNd7cYIgZPWTKP97xhObsH6zOma7vzi+ZFJ+YhOFXj1OPsXze/e8tjGFMt6CsdZ09dPbk0RxsI4mPjJTZ+8ce86///ad1renGHTqdjOHAqZpDrRGSLY+VY4BxbAezwPGancyzoeB0ico2IbBKRTQMDA1MoT1HmBsaYW50//6ffrdP1uaxd2cdNP+6vdEissuGmH/fHvnP76LYD3Pzwdt67bjlPvHKY965bzs0Pb694nhVFaR4rwLfb1YRVoztbOxzYWDjf9OOX+OpD27j54fDFiUFd1DetWgjAnsGxumE8Y4ydTezphC/sjk6kTtha/KVabz7lm0oxUqj1OGc5ODweKjxbISjHee2Kif/L9x2tvngYrknVAFjYRHf+VzsHKVqGXUdGeWn/scDHTQydxsDjHMDNwGrgHGAP8GXnuJ/UNyHH6w8ac5sxZr0xZv2SJbNvo5iiRI2I3BR263R9Ln/5oxcYLZQoWYYNqxZQsgyjhRJ/+aMXOl1aKK7H+ZEXD3D9RWt45MUD6nFWFB+27h1qqrMLYdnEYZaIZNXj3QSHMJ54+VDVn4F1BXRRc+kk/+OS0wF45WC1BWG8VMYqm0p+M8DieVmOjBYZ9xmQaxV3y2JQF7Unl2ZorOjT3a3uzi/qzlC0DEcb+ImPjZf45WuHG57ToNXWiYTw7Y+dD8BL+4eqaxqv7zg3c5Hx3J6jlb9vHwgWzpWh0zhYNfwwxuwzxljGmDLwNWwrBtid5BM8D10J7A45rijK1HnKueWANwIvObdzgOimZ6ZIAiiV4azlvTzxymHOWt5LqRz8n9Atj2yr6+o+uu0AtzwS3jmKGtfj/JUPrONTF5/OVz6wTj3OilLD/qEx3vE3P+GSv/lJ6OOCVm4nE0ImlWAkwOM8Ml6qEoON0i4AymVDv9OlbCTo7Tg6//+NLjjNbuK9enCk6rjbge72CPqTF3djDPyXuzfzaP/U3pUqBgxSuvTkUhQtw1ixOolktGZgcfE8225y4Nh46AbBv/rRC7zv7x7lnv8Il2dBK7cBls+3l9bub6bj3ISFZJdn3fn+oWALzHSu3J6UcBaRZZ4PfxtwEzfuAd4vIlkRORk4FXgCeBI4VUROFpEM9gDhPZMvW1EUF2PMt5yFJ6cCv2GM+VtjzN8Cb8MWz7HgHWcv421nLOGZ3UdZ3pfjmd1HedsZS3jH2cvqHnvLI9tIJqiKgfvaT7dx9R2bIhGsrYhyXVKiKI158Pn9ABweKYaKoYnYsIAtfT4eZ2NMXcRaxRMdMiA4cGycglVmSU+Wg8OF0C5wySoHdnbd7XtHakSn2x33dpxXL5kHwP3P7eOaO58KtEfceP9WLvzSQ+wfChb0VsW36y/VegKykOutGnb9f3HvC7zhhvvZO+j/OX/yom2P/VkDwW8FWDVgIp+5dpjP7ThX1dXdOCZv95FRTlnSTTIhoRc/YT9XUdNMHN23gceA00Vkp4hcDfyViPxKRLYAvwH8EYAx5lngu9j5sT8CPul0pkvAdcB92CuAv+s8VlGU6FhO9TDgPOdYLFi7so/NOwY5/fgedg+OcfrxPWzeMegrhN0urxsD90f/+DR//oMX+NTFp0YylNdKNvPHL1hd9zk3rl7su7xEUWYrxhj+7eldvLhvyPf+nZ7O4At7j/o+BiZSNfy6u90B2wDHS2WMoWrgra/LFoNhHVS3pvUn2WNYtV3QqroCFqBAsEB1M4i9w4GnH9/DpWuX0ePkOXvPi4tVNtz0YD+vHBzhsW0HA2sqBqzcdul1It1qLRgjtXF03XbH+f88vw+Af99S31EeKZR4xemoh33/7Lr8tyzCxCrtozXnarhgkUklqr7vS+ZlGRwthg557h4cZcX8PEvmZet8017Cfq6ipplUjcuNMcuMMWljzEpjzDeMMVcaY15vjFlrjHmPMWaP5/FfMMasNsacboz5oef4vcaY05z7vtCuL0hR5jBfBDaLyB0icgfwS+DPO1vSBFt2DvLOs4/jxb1DbFi1gBf3DvHOs4/z7dy6Xd2bH97OmiXd/OvmXbx33YrINgy6r+/NZvZ2lZVoiYvtRpk8P3pmL3/wnae5/LZf+Hpg93q6gbuPhHUGg72oPbmUbyKFa4noSk+IwaU9thgMe/ve7ayetbwXqO8YV9UVEEcHthUjIfXLOirb8DzCOZ1M8NUPvJG//4jtYPV6dF12Hp6wfNTaP7w0Gg7sqaytnvi6jDF12dJux9nloa37ebXGr+1GyPXl0+wJ+f65dQV1nFPJBN2ZJEdH68+V19ICcNJiOxDqtUPB52Df0TGW9eWY35UO//7NkFQNRVFihDHmm8B5wL86t19zLByxIJmAux/fwWcvPYPvfnwjn730DO5+fAd+vxM+9M0neHb3IBectpgnXjnMhlULuO/ZvVz21Z9FVs/G1Yu54rwTuenBfq4470QVzW1Ety/OfP6306U8OFzg2d31YnDv4BivW2YL1NC31EO6qG9YOZ9HXhzgyEj12/cjPv7Y43pzDT+XK8JXOQItbL1zsVz2jaMDEBHmZesTLI45tpJ52WTdc844vpeEwPM+wvmlfRNDbmGisdhgOLDbOR/eCL/xUpmyqfESd08I555sip/3H+SCLz1cdT5cAf9rpyzi4HCBsRDveDHkIgOgN5+u7ziPV+ddA6xa1AXAO/7mJ9z045fqXscqGw4cK7C0J0dfPjy6LmixTjuYVcL59259jH/atKP6YETxK4oyQxjHTro5DJwmIm/tcD0Vft5/kM9eekala/yxt6zms5eewc/769+qfGTrAF/4wQv86+bd/Pa65Tyz+ygjBYv/2DEYWQzco9sOcNfjr3H9RWu46/HXIntd7a7Wox3+mY0xhse3H+KtzpCcnwd279ExVi3qYn5XOtBDC96Oc738+E/rV2IMfONnL1cddwcAvVYNt+O8N0w4O0s/TlhgC7SwZRtW2T9Vw6UnVy8GJ3y7qbrH5zNJVi3u5jmfiww3neOEhfnQjX4T9gP/uiaSSCa+rtHKRcbEufJ2rO/86HmVv/d74t12H3FsLatsW0vYBYlVNqRDYt96ffKZRwqlqkQNgFOXTjgLb3zgRQ7WnItDwwWssmFJT9YWziEXPhOLdWJg1ZhJPPHyIf7797YAILo6UJljiMhHgZ9gzxL8T+fPP+tkTV7u+PCGOqvFx96ymjs+vKHusd7L3V2HR6t8j1EM5bkdT29ShrcjOhW0u+qPdvhnLk++cpiDwwXe/fplnHF8Dw++sK/uMXsHxziuN8fSnmzowFvYauQ3rVrImct6eXrHkarjwz6DZd3ZFMf1ZnlhzxCPbTtYZ6MAW3jN70ozv8v1KAcLZ3upR7Ak6sn5dZzrPc5ezlzWy/M+fuGBoXEyqQSrFnVzOMR+MJF57V9X3idZZKRYL5wB/v4jG/iTS1/HOSfM5+H/diFAVS7y7iNj5NNJVi2yu/ONbBHJkM6u37kaLtR3nPOZJLdc8UY+8uaTAXjgueqfK/fnaGlPlt58OnR7YNxWbiuKMjP4A+BNwKvGmN8A1gGx2SLUSifW9e4BPPHK4arjUQzltTMpQ7ur/rSrw6+0n1++dpglPVl+6w3Led8bV/DkK4fZundiSPDYeIlj4yWO78sxP5+p87d6CbNqgD1ct32g2n/rdlG9cXQA5560gHv+YzeXf+0XfPWh/rrXOjRcYGF3pjLcdyysY1kuh77N35NLccxnCA/qRarL65b1suPQaJ3g2z80ztKeLAu7MxwOSZUohqzc9n5eb2Nh1Ok+52tE6ltPW8JH33IKACsX5ElI9UDnnsFRls3P0edcZIR2d8uGdIhA7cqmKgLeZWS8vuMMcMnZy/jcu1/HSYu6uPeZvVX3DTj+9aW9dsc5VDjHPcdZUZRYMmaMGQMQkawx5gXg9A7XVKGVTuy719ZH1IUdb5V2J2Vod7Wadnb4W0WtNK3z8QtW89B/u5B8Jsmla+2gHq9dw7VmLOvL0ZtPNXhLPdy36+dlnYh9qxZe//nCNZWV2D/3sY8cHB5nUXem0hFu1HEO8+3mM/Vi8FhlqUdAx9kZSnyhxuc8MDTOkp4sC7oyHB4Jie5rcJHhJ5wrYj7tL+bB7mAvnpdln8dSs2dwjOV9+UqcXKOLnzBLRHcmWbGxuPh1nF1EhHeevYxH+w9U+dvdwc+lPTl6c2lGClbF911Xk3acFUWZBDtFZD7wfeABEfk3YrRoqJVObND/fdPwf2IkaHe1mjhlYauVZnK44nPF/DwnLeqqilFzhfNxvbbAaditTAoS4Kfsy6cZGi9VbAoQbD84e0Ufj3/27Vx7wSk8v+doXU6z23HOpBJkU4lQj3MpZAEK2EJ0tCYzeni8RDIhZFP+zzvTGZasHRDcPzTGUkc4D42VKhcTfjVB8BrpilXDU5c7KBjUBXc5vi9X5Q/fMzhaufCBRh3n8O58l0+soF+qhpdLX7+MUtlwv8eu4Xacl/RkKxdNQZslrbJ6nKeMzgQqcw1jzG8bY44YY/4M+BzwDeC9na2qmmY7sd/btLOl43EiTt3VuBCnLOyZYqURkUtEZKuI9IvIp33uz4rIPzr3Py4iqzz3fcY5vlVE3hF1bb92yiIef/lgZbmHK8CO783ZXtRQf2x4Z9f1I3u7zm73stZ+4LJ2xXyKluHFvdUrmV3hDHZXeCRkWUrYAhRwlrPUiUGL7kwy8CJgqTPU5vUSg91JtQfe/HOYvTVBsP0gk0yQTEi1VaPonqtw4Xxcb65ywVO0yuwfGmfZfG/HeXLRfWC/M1C7mGZ43KqK7avl7BW9rFyQ54e/qqQbMzA0Tm8uRS6drHw9QWkflZXb2nGOAJ0SVOYAIpIQEXeDJ8aYR4wx9xhjwtcyNffaob/AW6HZTuy45X/lG3Q8TsSpu6r4E3crjYgkga8C7wTOBC4XkTNrHnY1cNgYswb4a+Avneeeib2d9yzgEuDvnNeLjLNW9DE0VmK3I7zcBIbj+3L05lIMjZd8s57BFjhhiQx9+frNcxWrRoAYfP0K+92CX+2a+DdWLhsOjxQrwjmfTtatpq6qKySbGGwhWruo49h4KdCmAbYFYeWCfCWxAmC8ZHFkpMjSnlzlucMBnfBKxzmgLhGhK530t2oEXGS4LPN0nPcOjmEMLO/L0ZVJkkpIoJ/YGEOpQQJJVyZVtwGyUcdZRHj7647jse0HKz87u4+McnxfznlNt7se3nFWj7OiKE1hjCkD/yEiJ0b5uk3+Am+KVjqxmVQCwR7Iuf6iNfTkUohzPO7Eqbuq+DMDrDQbgH5jzHbn4vc7wGU1j7kMcHPavwe8TezW52XAd4wx48aYl4F+5/Ui47Sl9lppd4vgnsFR5nelyaWT9OTSGAPHArq7VtmEJjL4CWc3NSKoi3rCwjx9+TS/2jWRxjE4WsQqGxY6W/Oy6URV+oRfXWGC3r/jHC6cAZbPz7PLI5wPOBF5S3qylSFov0QQ8Hqcg+uqFfSNBhZdjuvNMThaZKxoVeLxVi3utsW4z9fq0ijpA+wLnIJVplCyL1TKZeOsAQ8/V6ceN4+xYrki6HcdsbcGgn3hAwR+D2O1cltRlBnDMuBZEfmxiNzj3qb4ms38Am+KVjqxv/PGFczLpbj1ynP51MWnc+uV5zIvl+J33rhiCl/KBK0MiOkw2exihlhpVgDepQQ7nWO+jzHGlIBBYFGTzwVARK4RkU0ismlgoPkAntOOs/N3X3KE897BcY53FpK4WctBncFiw9i3+ui4kYLtJc6ELChZf9ICHvX4rvcNTdhHwOk4B9RkjLEFfYPhwNGiVdVJPzZuhXZRwfaE7zo8WrG1VJIierIV0R0onMtlRMLFYFcmWTW06Jfj7Id7XvYOjlW2Bp7iLIrJZ5KBlohmBKpryXBrGSs1V5MbhecK+V1HRlmxwBbOuUbC2bFqhF38RIUKZ0WZPfxP4N3ADcCXPbep0NQv4WZ+AbfSiT1pUTe3Xnlulci+9cpzOcn5j3WqtDIgpsNks4sZYqXxUyW13oegxzTzXPugMbcZY9YbY9YvWbKk6eIWdGdYPC/Li84GvH1Hxyqb/CqdwcCOZaPBMncIzLvUo0xXOthLDHbc2qsHR3jFEYGuPWL5/Im6GnUrm6lrzDOAONLAqgG2cB4uWJWUiv1ON3VJT7YycBksnMO74OAI+oL3IqM5q8Zyp5O74/AIv9o5yIKuNEucpTJh56qZDX3uxYTrc3Z/FnIhSR8wseHxlQMjDI4UOTJSZKWzvMb9uQq6+KkI+mmwaoSf2dmATgkqsxwREWPzSKPHTOblfY7VvY4x5jbgNoD169dP+R+dn5jeuHpxZF5U74DYFeedyF2PvxY4INbKY5X40+6frYjYCZzg+Xgl9Qk57mN2ikgK6AMONfncKfO6ZT2V1dt7Bsc4y4lea/iWesPYt/rnjxYtcg26lRc4Ww1/2n+AVYu72XXEFqiVt/ozyYaWiLBEBm/0mytKj42XWNnVFVqX2zHddWSUvq40A8cmItbclde1+dATdYUPLLp11eY4i0AuHS64Tz3Ottt84QfPs/3AMBedvrRyYZJL1/u5J2pq4lxlqzcajjmWjUY1LevNkUkleOXgMC84i2NOd97dyHvOv29dGkc3dXQmUJlDPCQi/6XW3ywiGRG5SES+BVw1ydeell/CnaCVAbG4D5Mps44ngVNF5GQRyWAP+9Xaru5h4t/1fwIedC6O7wHe76RunAycCjwRdYHrT1rIC3uPsvPwCAeHxysCNecjfL0UG8W+BSz11RMxJwAAIABJREFUyDfoVp60qIuF3Rmecd452HFohEzKziuGcDHoLhoJ66L6ddJHChbzfJZ6eHE7u67Pef/RcURg0bwM83Lhw4FFK3xgEeqF80jBIpcK784DlfPywt4hVs7Pc/3bTq3cl8+Edecbn6tKx9kZEHRtH406zomEcNLCLl4+MMwzzkXZGcsc4dzggsxqEN0XJbNWOCvKHOISwAK+LSK7ReQ5EdkOvARcDvy1MeaOSb52M7/AZyStDIjNgGEyZRbheJavA+4Dnge+a4x5VkRuEJH3OA/7BrBIRPqBTwGfdp77LPBd4DngR8AnjTHBU3GT5O1nLsUY+PW/fAhj7ExlaPyWulUuhycypN1uZXXHuZFwFhHOXNbLc05m8vaBY5y8qJuE87ny6STjJf9UDctqwrebqa9reLwUGrEGE1aRvYOOcB4aZ2FXhnQy0dDjbDVIrwA3LWSiprGS1TCKzuWWK87lP527kh/94Vsry1oAcqkpepydc+VaNdzXyqYa17VqcTevHhzm/mf3smbpPJb1Netxnr6O8+y3aijKLMfZFvh32LFTaWAxMGqMORL+zKZeuyQi7i/wJHC784t5RuMdENu4ejHnr14UmOfbymMVJSqMMfcC99Yc+1PP38eA3w147heAL7SzvrOW9/Fff/M0vvzAiyzoSrPuxPlA485gsVmrhtfjXCw3tGqAvanvjkdfoWSVeXHfsYp9xK2rUcc5LCnCz3s9XChVfMpBLO7OkkoIe5zoPne1NdgCFQgU9KVyObQmt67q7ny54UWGyyVnH88lZx9fdzyfSTIwFB6RF+a9riwrqXScm7NqAJy8uJsHnCUon33XGVU12a8V3AlPCJULpXaiwllRZhHGmCKwp+EDW3vNul/gM52wAbFaMdzKYxVlLvFf3nYq1120BqBiDfDzKHspWeVQq0YmlSCdrF7qMVawyDchul63rIdCqcx1d2/mtUMjVX72XEgcXWXgrSlBb1WeM1YsN0yKSCTEXjbiRqwdHuVkZwgunRQSEiIGLRNak11X9Za+sZJFtolzFfqaYYOUDVamQ33HebxJqwbAmiW29zqTSvDBX1tVVRMED53a2dLTY6JQ4awoypyjlQGxGTJMpigdodZL25TAaeDbzdcs9RgtWiyel2lYyxtPXADAj57dy6WvX8bvnDsRAJQL8+02ZdWo9l67nefuBukVYC8bcSPpdh8Z5ddPtf/vEBGyqWALSalB5rVbl7c7b19kTG3fTehwYBOLRmrXY7tJJM0I5/ecs5zNO47wW2uXVT2+kVWjUZxglKjHWVGUGY9mLStKPHAFTlgXtZEPtStTvR57tNicb/ekRd28YWUfa5bO48u/94YqT20+naRQKle6y1U1VSLWQhaNOF+Xm5nsCstm6jp5cTfbBoY5cKzAcMHixIUTSRzZdKLSka2l0ZZFmMhxdkOTxkpWUwI1jHwmEfr9g/AhvErHedz1ODdv1cilk/zF+17PxjXVjYlkQsikgt81KFrladkaCCqcFWVWISInicjbnb/nRaSn0zVNB5q1rCjxoKFVo1xu+JZ6vW/XIp9u7g3yf/7ERh74o7fWicd8iKBvxn5Q8dhWOs7NLfUAWLN0HgeOjfPUq4cAWO3YEcAdxAsYWmymO59JYsyET3o0go5zeOa16wdvvjtfSdVoYjiwUV3BQ6eNL8iiQoWzoswSRORj2Kt3b3UOrQS+37mKpg9v1vKN92/V4T1F6RC5lC0rRgvB9oNmxKDXKjBWtMhnmpMrqWTCN4otTNAXrWYWoFRnE7cinDecvBCAj9/1S8AW0i7ZdILxUlAX1YTmJQN0pWtFarmpzm4YrnD2i/5vJr0inUyQSSU8qRpux7l9gr6ZcxUVKpwVZfbwSeDNwFEAY8xLwNKOVuSh3XYKzVpWlM6TSibIJIPfUm/OqlHvcY7Ctwv+HWer3MICFNeqUbRFYb4Jj/M5J8znTats//Wvr1lcyXaG8I5zqcGWRbuummUjxalbNXI1XezqmlyPc7h87M4kPakarsd5ioI+k2Q0sDvf+FxFxawXzro3UJlDjBtjCu4Hzjax2PwTaLedQrOWFSUe5NIhHtmyaSi68plURaAaY9ounItN2A+yqQQiE97mVjrOIsLff+Q8fvSHb+FrH1xf/bohHedmBt5q0z4iEc6pxraWZnzqlY5zC8OBoXU1GFqcruHAWZuqIb6bghVlVvOIiHwWyIvIbwL/GfjfHa6pQjtXV2vWsqLEh65MKmRlc/gCFLC7le7CkPFSGWNoKsc5jIm0j/qOpdVENrGI0OVJ+3D/bFbQ5zNJzji+t+54LiRVo9nhQG89UVxkeG0t82vus5pYgAJ2skZtjnM2NVULSfjQonqcFUVplU8DA8CvgGuxs5f/pKMV1dAuO0VY1rKiKNNL+MrmZjrOEwJ1tEWBGviaIXFmxSaGA+26UnV1NdNxDiPbSAw24QeHauEchccZ/CMFi+XGfnCo7jiPFy2nYz81YRv2c2U18XMVFSqcFWWWYIwpG2O+Zoz5XeAa4HHjN93RQdplp/j4BavrRPjG1Yt9M5hB4+sUpZ3kGqQyNFrq4fU4u68z9S5qour1vFhNi8GJzOQJq8bU3rjPphLhOc5NWCLA9lwbYy9licrW4n+u3IuMBh7nbLIqVWOqNg2oz/f2Umqwyj1KVDgryixBRB4WkV4RWQg8DXxTRG7sdF0uXjvFpy4+vWLb6IQXWePrFKV9NHpLvRkx6A67VYTzFDu7uZAuajMLUOy6knULUKZaVzadDF0jHZYt7dZk12NVBPiUbS2V9dY+w4FNpGrYdaWqcpyn2gUH+1wF+cGb+bmKChXOijJ76DPGHAXeB3zTGHMu8PYO11QhTnaKdsbXaTdbmevUxsl5KVpNWDXSdtJEuWwqrxPFYBkEDAc6Vo1GItVrFYjMqhHWcW7Ct5v3xNFFmZcMAcOBTWwOBCdVw7M5MIqOczaVoBDSnVerhqIorZISkWXA7wH/3uliamnVTtFu2uW31m62MtcJy9u1mnhLvcsznOaKtygEKuArvJodeKvqOBct0klpKLYbkUuHr9xuJFC7PKkaUXXnwzzOFeHcaGgxm6qOyJuimIfwiwxdgKIoymS4AbgP6DfGPCkipwAvdbim2NIuv7UuY1HmOqGxYU0MvHntB1F5nN31235v9Tc78JZPVw8HTrUmu64wW0szWxbdHGerpdXWYbjPH5lCHF13JsmwJ1UjEqtGKhm6nny6hPOsjaNTlLmGMeafgH/yfLwd+J3OVRRf2h1f5+1mX3/RGhXNypwiGxax1oRv110qMlqwIrNqZB3h5leXO/DWzCrwieHA0pQHAyH8XDXTcc6l3XzpUmQJJO5Fhl93vlmrRlcmxWjRwiobxooW2QguMjKpBAUruOOcjUCcN4MKZ0WZJYhIDrgaOAvIuceNMR/pWFExJcxvHVWutLebff7qRSqelTlDLmSpRzO+3e7Klr5SpeM8ZeGcChbOxUkNB1pTto+Afa4KJdvPnaj5/M2cKxGppE24i0amKlInLjKCBykbXWR0Zz12m1KZvnx6SjXBhFXDGFMXbVcsG7p05baiKC1yJ3A88A7gEWAlMNTRimJKO/3WcUoPUZROkA1YI22MaTrHGZykiIjsB5lkWMfZtWo0MRzotWpEIJwr3V2fTmqpXG5q4K0rk2SkaDEWWcc5zA/eeMuiXZNjIRkvMV60yE1x+QnY30NjJrretXU1ijmMioZfiYjcLiL7ReQZz7GFIvKAiLzk/LnAOS4icpOI9IvIFhF5o+c5VzmPf0lErmrPl6Moc5o1xpjPAcPGmG8BlwKv73BNc444pYcoSicIWiNdqmzoa1Z0WZGtaxYRMqmAuppdgJK2BaoxJtKOM1C5QKiqq8mBN1fQR3WuJvzgwd35hu8aOB3nYcenHkmqRojdJm5xdHcAl9Qc+zTwY2PMqcCPnY8B3gmc6tyuAW4GW2gDnwfOAzYAn3fFtqIokVF0/jwiImcDfcCqzpUzO2g1Xi5u6SHKzCKoMVXzmHNE5DERedZpUv2+5747RORlEXnauZ0zvV+B3bEsWqbSyXWppFc0PRxYmohYi2gQz0+gumKwmQUoVtlQsMqMFK2KF3tqNTnRbwG2iEaWCICutJ1g4a4Tn2rHOZMKFvNWxePc3NDi8HjJWYASTccZgr3XjbrgUdHwKzHG/AQ4VHP4MuBbzt+/BbzXc/zvjc0vgPlOPNY7gAeMMYeMMYeBB6gX44qiTI3bnF+ynwPuAZ4D/qqzJc182hkvp5nPig9BjSkvI8AHjTFnYf8u/RsRme+5/78bY85xbk+3v+RqXJFbK3AqeckNxGC+Ko7OsWpE8FZ/0CBes3F03qHFsYJFPpKkiGCRWrTKDcW8XVeyOsd5inUlE0IqIQEJJM2malSnfUTTcQ5ORrHj6OLtcT7OGLMHwPlzqXN8BbDD87idzrGg43WIyDUisklENg0MDEyyPEWZexhjvm6MOWyMecQYc4oxZqkx5pZO1zXTaWe8nGY+Kz4ENaYqGGNeNMa85Px9N7AfWDJtFTZgYhCvWuBUBstaiKMbK1qkEhLJcougBRquGGxlS99oMZo4uspilgBrSzNd1C7HqhFVdB8EZyY3vTmwYtUoRbZyO7zjPHPj6PyqNiHH6w8acxtwG8D69et9H6MoSj0iksWOn1uF59+2MeaGTtU0W2hXvJxXlF9x3onc9fhrmvmsVDWmRGRp2INFZAOQAbxvU3xBRP4Up2NtjBlvW7U+VOwHNV3USreyhbf5o/LHQoj3uuk10jXCOZLhQP+OszGm6S5qVybJkZFipeMcRfRbNp0MjaNr1J3v9nwPx0vlaN4xmEEeZz/2ORYMnD/3O8d3Aid4HrcS2B1yXFGU6Pg37G5VCRj23OYE7bQ9tGtZCrRvg6ESX0Tk/4jIMz63y1p8nWXYaTofNsa4auIzwBnAm4CFwB+HPL8t7/A26jg3Gg7syaYQgaGxUmRv89t1+Vs1WhkOBMeqUbQqFwhTIajj3Kzv2n0N75bF6DrO/oOUqYTUxcHV4l5kHB4u2K8XSU3h+dJxX7l9D+AmY1yF/QvbPf5BJ13jfGDQuXK+D7hYRBY4HsyLnWOKokTHSmPM7xtj/soY82X31umipotXDw5z7Z1PVdkerr3zKV49OLVrh3bHy7VTlCvxxBjzdmPM2T63fyO4MVWFiPQCPwD+xJkpcl97jzNnNA58E3sgP6iO24wx640x65csic7pEdQZnLBqhEuPREKYl0lxdKxoR5lFtNgiE2A/KJYN6WQzYtD17dr2g0g6zml/+0Gpye68XVfSHg4sWiSkObHdiKBz1ax9pDtrn6uDjnCOxKoRcEEGE4J+Omgmju7bwGPA6SKyU0SuBr4I/KaIvAT8pvMxwL3AdqAf+BrwnwGMMYeA/wU86dxucI4pihIdj4rInI2f+603LAfg2juf4sb7t3LtnU9VHZ8s7YyX08xnxYegxlQFEckA/4o9jP9PNfe5oluw/dHP1D6/3eTcOLMAq0Yzwq43n7Y7zqUIrRqphO/KZqvc3Nv8rlA+Nl6iaJlIOrsT+dL+HedmxGBXJlUZwsunkw0vAJohOIGk3HC4067JPjeHKsI5wkHKDqdqNPQ4G2MuD7jrbT6PNcAnA17nduD2lqpTFKUhIvIr7JmBFPBhEdkOjGPPFhhjzNpO1jddbFy9mFuvPJeP3PEkNz3YTy6d4PYPvWnK1ge/GLmNqxdHYqlo9wZDZUbyReC7TpPqNeB3AURkPfBxY8xHgd8D3gosEpEPOc/7kJOg8Q8isgT73//TwMenuf7AzXPNbp0D6MmlODpapFQ2kXWcs6kEx8ZLdcc7KgYDcpxd+0ijgUWYyHGOyncNrq0l4CKjCYGaTSVIJmSi4xyBrSUTIpytJjOvo2DWr9w2Ol6o/N/2zjzejoK8+9/n3P3e7LkhZiUkYZHaCBIJmxABUcEKtG5VLFYUpFKq1AXl7fvat2qptthSbZCCFQUE1IK8IhIEErFgIJgQgiRkYQuJ2de7nuV5/5iZc+ecM+fmnHvmzMy99/l+Pid39nlm5kzOM8/8nucZ+bynHhsVkfcDXwHeCJysqivrsZ+wuGn5Jop/Y57fup81W/YntoZyPZ1yY3iiqrsJDkytBD7hDt8O3F5m/bPramAFlEsO9OQHlUR3x7U2caA3TUokFKfLs2v3of6S6Zls5dUrAPZ2O9sIR0sc3Gwkk6usAglAe1MDmZxysDcTiu7asSsV2M0wXWFtaRGhvbmBPYfCk2oMVrrPSQ5MtsY58YTwpsIwhgvbgYuBz+PUdH1dVV/xPjVsdy3wp8CvQ7Cxrty0fBOv7eni6w+sQ4Crz55PLqd87YF1Jc60YRj15bDJgRU4g2NbG93kwAiqalTY2tqL5oap2y3X3rrSmtd+u/Z29YcXcW4KlmpkKqwtDU5ljXpINQId+lzldtWK/aQYxvDnNmAh8BxO985QEgJV9QVVXR/GturNgpnjuevpLTSknGSa1/b2uJER+PmabXGbZxijirLJgVUkvI1rcyLOTlWN8KQa5dpIH67SBwwkB9YlijrEmtd+u3Z39YeXSNlQW3IgOLWcd3c5lRBDjc4X6dSzOUW1MglQGJjjbBjDn+NV9RJV/S7wPuBtURsQd+Oi0+Z1Mr6tkUwOZoxv5d5Vr3P6/E5SIuw4EGkJW+sGaIx68smB5UqsVSTVaMwnB4ZRygzKO86V6nY95y9MqUY53W61VTUAdh/qo70pHAVuOY1zpooOfR3NjexyHzLaW2q3q7lMxHngXFnE2TCMykh7A6pamvkyCGHVk61XWatquHKxoxdet/0Q08e38puNu+jPKh8/Y06kdlg3QGO040WcSzTOFZajAxjb2sSBnjQ9/eF06APHGQzsHFhhcmBDSmhpTOWlGuE0QAnWOFfzkOE5zrsO9eU79tVsV1O5zoGVl31r952fjjo2i6m0gU1YjPjkQMMYBbxZRA64wwK0ueNeVY1x5VZU1XOjMLDe3LR8E79cOyDJ2Lq/F4CUwOad0faAsW6Axmin3Cv1dBWRwXFtjeTUqWARrlQjuHNgpdHKtuaGUHW7Tv3o0nNVzUPGGDeam9OBjn21Ur4cXeWNRjp8Uea6RpyrOFdhYI6zYQxzVDWcEMMwpiEFq1/bT1ODkM0pbkJ6ZC1Yi6lXi27DGA6Uq7c70Dmwsoizt43wqmo4UVRVLah1nMnlKpYftDf5Hefa7RJxoth9Rc5gNQ8Z3rmCwihvLbQ0NgQm4WWrSMLz29IeZs3rGuqDh4E5zoZhBCIiFwP/DkwBHhCR1ar6zpjNCiSbg48smsUdK14D3FA7jnax1gYo1eKVxfN3Axzb1kg2F1x+zjBGGuUd5yoizj5nMLyqGg2oOlHT5sYBG9JZrdjpamtuyL/RClNCUk5+UNlDxoAr1xFCZNexKbhZTKbCZjFQGP0OQ0LS2ODUhu7PliYHQnSBEtM4G4YRiKreq6ozVbVFVacm1WkGxyHd5v6YgeM0nzF/Mqpwy+ObI7WlIQVff2AdVy6eyzXnHcuVi+fydSuLZ4wiGhtSNKaktFJErnIt6ri2AacrzEoRUJq0WGnnQCh0TMNy6IPaW1fzkOF3nMMqR1e2PXmFenAYcJYbUpI/97USJCGppnRfGIz4iLNaBxTDGBXs7uqnuUFIuT+Az27Zz4cXzeL1fb2HWTNcsjn48gXHsWTZZg72ZLh9xat8+YLjCHjraRgjlpbGVNkGKJVoUSe0NeeHw6zjDME1kyvVx47xOc7hRZxLtdfpXDU1rwei82Ek4Tk2OU1VMkXnJpPVvNb4cHgR5/aQ2oCD49CX1zibVKMmrP+JYYwenti0i807u2hpauC7Hz0JgCt++Az3P7stPx4VnhzjYE8mr3H+5NtMomGMLlqaSsuZpauofjChvQ5SjbKl3ypv6+2P7oZpV9mIcwVRVL8j2x5WcmDTQCJegeOcU9orfMjIR5xDdGiDIs7VPJCFgb08NAxj2LNmy37es2Aa3/3oSfmW1d/96Em8Z8E01mzZH7k9T2zaVaBxLq7rbBgjnUAHJ9858PCux8SOgYjzJN9wbTaVaW+drTw50B/dbakw8lqJXaVR8KFFUce0hqdxhtLovJNIWZ3GOazIvGNXadJiNRKgMBixEWfDMEYPQUl3ngMdNV7dZq8E3SnzJheM+7lp+SYWzBxfMP2JTbtYs2W/JRIaw5rWpoZBmnoc3sHxSw4mh+Y4B2ucq0kO9CLOrU2pvCysZrsCaiZn8pUiqnPOp49vC8emsg8ZWrGDOnOiY4v3EBAGzQGylqjrOFvE2TAMI0TWbNlf4CR7dZ2DIt/WLMUYqQTqdquoFOHXxE4e0xKOTV4r8KJIeDXJgV7EOaxkN29bZes4V+kMTp/QGo5NZZqNpLO5ip35+UeMAaC7v6q+XIPS0pgK1KhD9Q8ZQ8UizoZhGDFhzVKMkUpgcmAVlSL8dI4JJ+Lc3OBEUYtf9adzlScHjgtJCuGnpamBAz3pgmnVOoNHHzGGDTsOMX1CWBHn2iuQzJzYTueYFr74rmNDsQnKVCDJRZscaBFnwzCGPTct31SiI35i0y5uWr4pcluqjSL7m6Vcsmi2Oc3GiKClsTQ5sFoH5xt/toDj3jC2oKZzTTaViThnslpRa2uACe2OEx9mdDMwObDKc3XHJxbxvY8trHsiZbqKLosNKWHl/zqX9y+cFYpNnl3ltPNWx7lGrAidYYweqnVW6+lo+6PINyxdX1bf7N9vEhIJk/TwYQx/AnW7eflBZa7HB946i19+5szwtMRloqjFJdcG46jOdgB6ApqD1GJXf4BNUPm5OmJcK2cfNzU8m5o8jXPxw0/ldZzrQXNjQ0mXxaHqwYfKiHWcPcKqHWgYRnKp1lmtt7a40iiyP5HwmvOOzR9DHM6z6a2NMAnshpfLIRJdZDDIJgiIouYqTw6c2+nodsPq0OfZFRTZhejaSBczWNv0qCQRQQR1NIw6OdA0zoZhjAj8zurVZ88fVPJQb21xcRT5lHmTA7c9WCJh1JIN01sbYdLSlKI3qHpFjNHKMHS7Ezua+dK7j2PxsUeEZlewbjfa2sTFDFbzOioHNYigBiiWHBgy1jnQMEYHlTqrHtU42tXaUWk5uiSV0fP2XY9zYow+grWouXijlYN1DqzCob8i5FKRQVHUaprF1INyVTWqkbXUg6DvVTZnGudQMIGGYQxvqtHcDkXyUC9tcTXl6JJGUvTWoxkRmSQiD4vIBvfvxDLLZUVktfu53zf9KBFZ4a5/t4iEU5KiSoLkB7FHKxvKyw/ikkTA4HrwqKKoxQzIWkpbgcct1SitihKtrGXEOs6GYQxvqtHcVuus1lNb/Kmz5pVEak+b15n4hiZJ0luPcq4FHlHVo4FH3PEgelT1BPfzXt/0fwK+5a6/F7isvuYGE1zHufIawPUgn/AWoL2ON4rqdMPzvyGPXw9e7iEj3uRARztfWyJlrZjjbBhGIqkm4a9aZ3U4R4XrhZ2TxHAhcJs7fBtwUaUripMNfzbwk6GsHyaBnQMTkFgGhVFUVXW11/HapVrYYS92PXiArCWXU3IanzMPwRrnzBDbkw+VEa9xNgxj+FIvzW3StMVJwM5JYpiqqtsAVHWbiJTLQmsVkZVABrheVe8DJgP7VNVr1bYFmFFuRyJyOXA5wOzZs8OyHxjo8JbLab6cXDpXnZY4bBpTQkoKo6juW34aEpK06GmLY9eDB1QgyUQsiQjCq3mtqvmqaQN2WXKgYRijnGoT/gxjOCAivwLeEDDruio2M1tVt4rIXOBREXkOOBCwXNkMeVW9GbgZYOHChaFm0ucjltkcrSnHCcvGrI8VkRLtdXqI3QzDxC+LGOtOi1sPHhSdj7vSBwxE5zO+EoKeXVFFws1xNgwjkVRTncIwhhOqem65eSKyXUSmudHmacCOMtvY6v7dLCLLgBOBnwITRKTRjTrPBLaGfgAVkI9YpnP5bnaZbLzOILiv+hMXRS2N7satB88nUqZLz1Xc5ejAOVfe+cnXvDaNs2EYoxnT3BqjlPuBS93hS4GfFS8gIhNFpMUd7gROB36vTnbZY8D7Bls/ClqbSiOWcTuDUJq0GHViWRADrcD9dsUbnU+lhOaGwmofUTcaCcJ7yCh4+In4rYE5zoZhJJLhWp3CWlcbNXI98A4R2QC8wx1HRBaKyC3uMm8EVorIsziO8vWq+nt33heBa0RkI47m+dZIrXcpp5GN0xkEt/Rb2h/ZTULEeUDW4hG3HhwGdOoeAw5qnC23gyQk0SYHjlrH+Z3f+jX3rXo9bjMMwxhhWOtqoxZUdbeqnqOqR7t/97jTV6rqJ9zhJ1T1j1X1ze7fW33rb1bVk1V1vqq+X1X74jgOzxnsTRdGnON3Bgs1zgPNMxLgDKYLo7txOvPg1Zf2Xb9EyFqCzxVYObrQKJftsH77QT5z9+pIbTEMIxnUMypcTRk9wxipBNUB7s/k8k5iXBRLNZKRHBgUnY+3tjRQItXIRuygBtEcEJ2Puub1iHWcvTIlhmEYxdQ7Kuwvo3fJotnmNBujjnyzEZ+T2p/N5R3quPDKmXkkIzkwSA8efyJlS1Et7nQuQQ8ZRXKbKGtej1jH2TAMoxz1jgpb62pjtNMa8Eq9P5PLV2uIi+ZixzkJyYEBzmAmKYmURQmLkJSI84Bd2Vy0Na9rOnoReVlEnhOR1W4hdkRkkog8LCIb3L8T3ekiIjeKyEYRWSMibwnjAAzDMIYivahXVNhaVxvGQMS51x9xToRUo7iOcwIizk1B8oMEJFIWPWQkQ9ZS+kCWzmqk3QzD+Aa/XVVPUNWF7vi1wCOqejTwiDsO8G7gaPdzObAkhH0bhmEMSXpRr6iwldEzjGAHpz+bBMe5MIqaiOTAhiCpRi7WltvgPGT0ByRSJqKOc5HGOcrofD32dCFwmzt8G3CRb/oP1OG3OEWQ2yNEAAAgAElEQVTap9Vh/4fFKXVpGMZgiMg3RWSd+4boXhGZELdN5ahWelHPqPBwLaNnlGKlBYdOueTA2DXOTYXOYCJ0u03BshZvelwUV9VISudAKK2qEaUzX+vRK7BURJ5xe94DTFXVbQDu3yPc6TOA13zrbnGnFSAil4vIShFZuXPnzhrNMwyjBh4G3qSqC4AXgS/FbM+gVCO9qCYqbM7T6MVKCw6doOTAvkRINYrkB+5wnNFdT+PsL93XlwQ9eEOxVMPr0Be/VKOg5nVWh1XE+XRVfQuODOPTInLmIMsGnemS0K+q3qyqC1V14ZQpU2o0zzCMoaKqS922vQC/xWnfm1iqkV5UExU252n0YqUFh05rvo5zcXJgQ1wmAaWOs+eAxRndbW92zkl3keOcjIhzqca5KcaHn4FEysLkwCg1zo21rKyqW92/O0TkXuBkYLuITFPVba4UY4e7+BZglm/1mcDWWvZvGEZkfBy4u9xM943T5QCzZ8+OyqY8funFafM6OWXe5NCcHL/zdMmi2dy+4lVznkYR/jcZV5893657hbR5zmB/8pIDCyK7rmMfp4SkpTGFCPQUnSvPSYwLJ5Gy0CYg1kh4UB3ndMSJlEM+ehHpEJGx3jBwHrAWuB+41F3sUuBn7vD9wF+41TVOAfZ7kg7DMOJBRH4lImsDPhf6lrkOyAB3lNtO3G+K6p2QZ3WZRy9WWnBotDU1kBLo6nNeWqlqIuo4tzc30N2fyec6eQ5YnA69iNDe1FDwkNGXycYu1ShuuZ13nGN+yICA0n0RSm1qiThPBe51G400Aneq6i9F5GngHhG5DHgVeL+7/C+A84GNQDfwlzXsu2IsD9AwyqOq5w42X0QuBd4DnKMJzqoNklicNq8zFAf3puWbaEhR4DyNbWskmwverzFyqOebjJGOiNDR3Mgh13FOgoMKTiQ8p44UorVpIKIad3S3rbmxyHFOgFSjjKwlXse5ocAWcJMDI4w4D9lxVtXNwJsDpu8GzgmYrsCnh7q/MEnuz79hJAcReRfwReAsVe2O2564aEjB1x9Yx5cvOI5Pvm0eY9sa8+PGyGawNxnmOB+ejpbGfMTZi1YmIeIMjiyi1VdhIwl29fRn8uOJaRbji+z2JUiqURBxzkVbVaMmjbNhGCOabwMtwMPum6Xfquqn4jUperI5+PIFx7Fk2WYO9mS4fcWrfPmC4/AFPIwRSj3fZIwGOloG5Ad9CXjND4WJeBNJll3Jizg7EXlVRUTyyYFxnquGlNCYkpIyeVGWyDPHGXj65T185D9X8Nsvn8Okjua4zTGMRKCq8+O2IQl4ztPBnkw+QeyTbzOJhmEcjjEtPqlGAqKV4EgigHx0NwnJgeBISHrcpMVMNkc2p7HLR1oaU+TUieg2NUhirmFzkfY6HXEd5xHrOHtyTKngXN60bBP92Ry/e2Uv5x4/tc6WGYYxnDCNs2EMDb9Uw3MKvWobcdHeVFjtIwm6XSiMOCfFpnxjlozTmS8JyYEQoL3O5BjbGp07G+/RR0C8nd4NwxjueBrnKxfP5ZrzjuXKxXP5+gPriDnoYhiJp8MXce7uc5zCjuZ443XtRWXyvHrAcUdR25oafTYlIwqeT8RzndSkOM7FEeeoO1KO3IhzROsYhjGyMY2zYQyNMS2NdLmSCM+B7miJ1+1o8yUHAvS5JfKkktfTdcSfHJiUiHM+ES8zEAkXIVJZRBDF9aX7MtlIZS0j13F2veCgm6HYQS5e5LU93fSmsxw9dWx9jDMMY9hgGmfDGBodLQ10uZHm7v5MflqctLsRb390N24HFQqlGgMR5/g1zjBgT3/WkWzE/ZDR3JgqKEfXn432Gsb/bakzlVzf4vJ0b/vGY7zjW7+uj0GGYYTOTcs3lTSmeGLTLm5avimU7VsTDCMqRGSSiDwsIhvcvxMDlnm7iKz2fXpF5CJ33vdF5CXfvBOiPwoHfx3nLtcpbE+MVMNNDkxAhz5wkwPdc+RF6Tti1oPn21v7pBotCdCotRSXyUtHK9WI/wzUCTXhhWGMGhbMHM9Vd67KO7Re44oFM8fXvG1/E4xrzjs2337bnGejTlwLPKKqRwOPuOMFqOpjqnqCqp4AnI3TVGypb5HPe/NVdXUkVgfQ0dJIfyZHOpvLJwmOSYpUI+2VycvGriUGN+Kcdkq/eU59e8znqqVYqpGAlulgEee6U8kLhZjfOhiGUSNeY4qr7lzFDUvXh9rdrd7tvA2jiAuB29zh24CLDrP8+4AHk9ikyNMzd/Vl8o5ze+xSjcLkwJ7+bH5anLQ3N5LNOW3Ju/KJlDFHnN2qGv7kwCQ4zhZxNgzDCIHT5nVyyaLZ3PjoRi5ZNHtQp7kaacenzppXsq3T5nVaKTqjXkxV1W0A7t8jDrP8h4AfFU37moisEZFviUhLuRVF5HIRWSkiK3fu3Fmb1QGMcZ3kQ32ZvKPqlYOLi9bGQse5OyGOc1vTQNJiPuIcs6ylRKoRcWS3HM1FyYEWcQ4Ja6ttGKOLanTI9ZR2GMbhEJFficjagM+FVW5nGvDHwEO+yV8CjgPeCkwCvlhufVW9WVUXqurCKVOmDOFIBmcg4pylqy9Da1Mq0g5vQaRSQlvTQAWL7v5M7A4qFEbCvYhz3LIWzxntdWUtvels/sEjTtqaUvS6Eec4msXE/22pN0FVNcyrNowRhV+HfNq8Tk6ZN3lQucaaLfu5cvFcrrpzFZcsms3tK17lysVzWbNlv7VTNuqOqp5bbp6IbBeRaaq6zXWMdwyyqQ8A96pq2rftbe5gn4j8F/C5UIweAp7jd6gvTVd/JvYazh7+ChZdfVmmT2iK2aIB7XV3fzafHJgUWUtP3nHO0RpzG3BwIvHd6fhK98V/BuqEucaGMXqoVoe8YOZ4lizbzFnHdHLjoxs565hOlizbPKIizvWuNGLUjfuBS93hS4GfDbLsn1Mk03CdbcSpGXYRsLYONlZE5xhHJbLrUD9dfdnYHUEPfwWLnnQ234Y7TtrzrcCzPo1zvHblH3x6HSe1N52lJWapDbgPPn3xNYsZuY6zV8e5qnXM3TaM4Ui1OuTT5nVy5eK53LdqKyfPmch9q7Zy5eK5IyrabHKUYcv1wDtEZAPwDnccEVkoIrd4C4nIHGAWsLxo/TtE5DngOaAT+GoENgcyZazjOO842EdXX1IjzpnYk/AAxrkto/f3pOnuz5ASYo/ujmn13hi4jnMmR2tSHOcY25Mn41tcRyqrmGFlNQxjNPHEpl0sWbaZi06cwb2rXufiE2ewZNlm/mj6+BHjPPsrjXhylLAqjRj1Q1V3A+cETF8JfMI3/jIwI2C5s+tpXzVM7mhGBHYe7KO7Pxt710CPDl9HQyc5MH67JnY0A7C324nOdzQ3xt5oxHvQOehGnPvSWVrHls01jYy25kZ60llyOY2lWcyIjThXJ9awSLNhjCY8jfPyF3dy9dnzWf7izrzGeSRRTaURwwibxoYUkzua2Xmwl0N9mURUrwCY0NbEvu50vmZyEuya0O7orPd199PVl0mErKUhJXQ0NwxEnNPZREScO3za6163uoZJNUJgQKph0WTDMArxNM7+piZhaZyTpC22jodG3EwZ2+pGnJMj1ZjY3syern76MjlyGn8SHsCENifivK87WYmUY1ob8zW4k5Mc6Fyvrv5MLI114j8DdSboTUdpfNmca8MYTdSzqUlStMXW8dBIAlPGtrDzYJ8jP0iIVGNiR7MrifBaW8dvV3NjijEtjeztTjvykQQ48+A4pAfd89STkIhzW1AiZYTfrfi/LXXCc5hzlvBnGEYRQUmDp83rDEXKkBRt8WAPBybZMKLiiLEtbNh+kK6+DGNbk+FyTGxvors/y95up4pfEqQaAJ1jmtl+sDdRiZTj2prY756npEk1uvqyeRlJlNcwGVemDniievObDcOIGr+2+Oqz58fiqNbz4cAwKmXK2Ba27e8FHIlEEvAS8bbsdbqUJyE5EGDWpHa27OkmpwMVSeJmckcLW/Z2o6r0ZXK0JqBz4NhWRw9+sDed77JoUo0QSFnE2TASRZK0v/XGtMWG4XDkpPb88KSO+BuNAEwb3wrApp1dQDI0zuA4zq/u6XaSAxMUBd91qD/fdjsJdZy9RMr9PekBuY05zrXT4EacczlznA0jCbyyu4srfvhMgfb3ih8+wyu7u2K2LFxMW2wYAxw3bVx+2Iv0xs208W0AbNxxCEiGxhlg9qR29nan2X6gNzE2dY5pYU9XX74kXRJqXo9vcyuQ9KQ5lNc4Wzm6mvGkGtkiv1lVy8o3zMU2jPrxJ2+eDsAVP3yGG5au54ofPlMwfaRQz8RDwxhuHDN1TH54UkKkGtMnOI7zJtdxTkp0d9ZEJzrf1Z9lXFsyHOfJY5rJKby+rweINrJbjvFuxPmAr1lMW4SR8BHjOJfr+ldcLyMoAB1zjXHDGBWs2bKfq8+ZTzqb48ZHN5LO5rj6nPkjzqGstouhYYxk/PrhGRPbYrRkgHGtjYxpaWTDjoNAchzn2T5ZS1I0zl7bdO/NYJRa4nKMaW4kJY5U45CbSBlls5gR5DgXjzsTis9lkOb5cDLo1/f10O/qewzDGBqv7O7ihqUvknWfXrM55YalL444qYZhGIVcfOIM5h8xhiMnd8RtCuC8kZ4+odVXVSN+ZxDgyM7kOc6TxzhvCV7Z7SRSJiHinEoJ49ua8iUFo7ZpxDjOxQ6xN1YacS71kp95ZQ8Az79eGvnq6c9y+vWP8sWfrgnc7+v7enjV/UIZhlGeuVM66EnnSGeVk+dMJJ1VetI55k5Jxo+pYRj14VsfPIGHP3tm3GYU4Mk1YEAzGzfjWgfsmDKmNUZLBpiSjzgnx3EGmDqulT/s76MrhprXI8ZxLnaHPf84lZLA6X68p85fbyhN3ulz2zk+um5H4H5Pv/5RzvzmY9UZaxijkM07u2hrStHcmOKpl/fS3JiirSnF5p0WcTaMkU6Ur9IrwUsQbG9uoC0hUg2Atx3tyLz8so04mew6zq/ucf6fjjIJbzCmjW9l2/4euvoykctHRozjXBxJ9sYriTgPNs9r2V1OQ20YIxkR+QcRWSMiq0VkqYgMOZPvyMkdXHPeMflSkSmBa847JjGvbw3DGD3MmOBEdJMi0/C48UMn8vgX3s7syclwnCe0NdHcmGJDwiqQTJvQxrb98TSLGTGOcyYbLNUoFjlnc4qWqZ+RLi7BEbS9iNhxoJe9Xf0R79UwSvimqi5Q1ROAnwP/e6gb8jTOTQ0prj57Pk0NKdM4G4YRC55Uo999q5wUJnY0Mysh0WZw3tofNbmDfe6b+SQkBwJMH9/Knq5+dnf1Rx4FH7mOc9mIc/lkwFTAmyTxzlDEnvPJX3+EE//hYQC2H+hlzrUP8NDzf4jWCGPUo6oHfKMd1HAnbD/QS2/aqaRxzXnHcvU58+lN59h+oLd2Qw3DMKpghus4e5INozxHdTpvBRvcpLwk4F23zTu7LDlwqKRzhVUvvOhxNhfsUAfRHNBK0vOli7cfRG86yylff4RH120PnP8fyzbyn7/efNjtFPP7bY7vcueKV6te1zBqRUS+JiKvAR+hTMRZRC4XkZUisnLnzp2B28kpfHjRLJYs28wNS9ezZNlmPrxoVmCJSKiu0+Bo6kpoGEbtLJwzib97z/Hc+rGFcZuSeI5yE7gntDWV5I3FxbQJA8mT5jgPkb6icnEHe53XCuv+cCBfuBugP5sr0TLPdZ+mzjpmSsl2vSV70872N2w/yEdvXUFPf+nrndf39fCHA738w89fAOAHT77MnGsfYF+3I7n4xi/X87VfvJBf/pEXtuf7rD+xcRcfuvlJMtlSBz3ldUHUgYeBQ26bScOoFRH5lYisDfhcCKCq16nqLOAO4Kqgbajqzaq6UFUXTplSeh8BXH7mXB5cu52zjunkxkc3ctYxnTy4djuXnzk3cPkH127jsu8/XdBp8LLvP82Da7eVLLtg5viC7nxe974FM8dXfT4Mwxj5NKSEy844ipkTkyOLSCpexLk3nRxZy3TfmwJ/NZIoiNxxFpF3ich6EdkoIteGtd2/+dGqgvGHnneivj966jVOv/7R/PT7V2/l91sPFCz7x+6Pa/ENlMuVdhm84vZneHzDLn62+vUSGzwH14tq3/XUawBs2dtTsuzmnYe47LaV/O09zwLwmbtX89vNe9h1qFTX7D3gebb8r/ue403/5yFrJ26Egqqeq6pvCvj8rGjRO4E/G+p+TpvXyZWL53Lfqq2cPGci963aypWL55Y0C/F4bU83Pekcl33/aW5Yup7Lvv80Pekcr+0pLf/odee76s5V3LB0fb7ldbltG4ZhGJVx9BFO98d0gnwOf8R56rhoa15H6jiLSAPwHeDdwPHAn4vI8UPd3ku7ujj/3x7nvlWvFxQLn3PtA2XX+eoDL/C+m54sWPZnq7cC8OSm3XznsY35ebf+5iWeemlPfvyup17Nh6Cf3bK/IKlp2/4e9rjJfC/v7mZPVz+v7e12l91XYocXIX9wraNbbmpwLkVQoxXPYf7NRieads/KLQD0uE9/596wnGvuWQ3A3q5+zvmXZby43emIdOeKVzn3huX5bf3dfWu552nHoc9kc9zy+OZEPUUayUJEjvaNvhdYN9RtPbFpF0uWbeaiE2fw1Mt7uejEGSxZtrlEYuHx7je9AYCetNNpsMd96+NNL+a0eZ1csmg2Nz66kUsWzTan2TAMIwROmDWBT5xxFF+96E1xm5KnpXEgIXDquGhrXkuUZdZE5FTgK6r6Tnf8SwCq+o9Byy9cuFBXrlxZdnuDOchGIc2NKU6aPZEnN+8G4Iz5nXlHHOAdx0+lQYTtB3uZOraVTE7Z291Pa1OKca1N5FTpz+RoaWygITUgHfGKlvziuT8wpqWRs46ZwsYdh1i//SAnHTmRI8a2sKern1d2d3PSnImgkM7mSGdztDc3ojhRfZGB0n9+FK2t/qdSUEXFv49y1VX85HJwqC/jJERUaIa32GB2n/vGI7jwhBnltyHyjKrGLr4TkZ8CxwI54BXgU6pa+rrFR7n79qblm2hIwZJlm7lk0WxuX/EqVy6eSzZH2XbUl33/KR5ZN6CZPue4Kdz6sZMDl/XkGd62LeJsRE0Y962IvB/4CvBG4GRVDfwRFJF3Af8GNAC3qOr17vSjgLuAScDvgI+q6mFLNB3u99YwkobnA/7kU6eycM6kIW+n2vs26roiM4DXfONbgEX+BUTkcuBygNmzZw+6sSMnt+e72Xg88rdncc6/LOexzy3mqM4OLrjxcZ7feoBr330c67Yd4D43ujza6M8UVi94ZU9hCbBVr+5j16E+wHktkxJhvRu1nn/EGATIqiIw4OiK44Z62utDfRnW/eFAXn+9bV8PB3rS+fqPL2w7gODoxVMpaHaj7FIkcRGRwOFaKNaJ+6cdjk07D3HE2NaKSt5o/p/BedP0cRXtO25UdcjSjGI8HbLn0J4yb3J+PIgnNu3iiU27i6bt5olNu0ocYs9pDtq2Oc/GMGMt8KfAd8st4Ht7+w6c39GnReR+Vf098E/At1T1LhG5CbgMWFJ/sw0jWn70yVO48ZENHPOGsZHuN2rHOchTKXAzVPVm4GZwnoAH29jyz789cPrL11+QH37g6rcVzPvXDwX/SBuGUV/WbNlf4Mh6uuQ1W/YHOre3PL45L8+YPr6Vrft76Uk78qLi5avdtmEkFVV9AQ7bae9kYKOqbnaXvQu4UEReAM4GPuwudxtO9NocZ2PEceq8yZw6b3Lk+43acd4CzPKNzwRGZwjYMEYZQXKM0+Z1lnVs121z3nh8ZNEsvnbxAq67dw13rHgtP72WbRvGMKfc29vJwD5Vzfiml9WEVfOG1zAMh6gd56eBo10N1uvAhxh4MjYMw8jT2tSQd5qB/N8nN+0ZbDXDSDwi8isgKMv1uoBqNoGbCJimg0wPpJo3vIZhOETqOKtqRkSuAh7CSWj4nqo+H6UNhmEMDx793OKSaZ7zbBjDGVU9t8ZNlHt7uwuYICKNbtTZ3uoaRshE3nRcVX8B/CLq/RqGYRjGCCHw7a2qqog8BrwPp7LGpUAlEWzDMCpkxHQONAzDMIzhjohcLCJbgFOBB0TkIXf6dBH5BThvb3G6eD4EvADc43t7+0XgGhHZiKN5vjXqYzCMkUzkEWfDMAzDMIJR1XuBewOmbwXO940Hvr11K20EFzs3DKNmLOJsGIZhGIZhGBVgjrNhGIZhGIZhVIA5zoZhGIZhGIZRARJGO+N6ISI7gVcOs1gnTgmepJJk+8y2oVNv+45U1Sl13H7dqPC+TSpJ/95Vih1HPIzk+zZJ18JsCcZsKaUSO6q6bxPtOFeCiKxU1YVx21GOJNtntg2dpNtnDI2Rcl3tOIywSdK1MFuCMVuiscOkGoZhGIZhGIZRAeY4G4ZhGIZhGEYFjATH+ea4DTgMSbbPbBs6SbfPGBoj5bracRhhk6RrYbYEY7aUErodw17jbBiGYRiGYRhRMBIizoZhGIZhGIZRd8xxNgzDMAzDMIwKGNaOs4i8S0TWi8hGEbk2wv2+LCLPichqEVnpTpskIg+LyAb370R3uojIja6Na0TkLb7tXOouv0FELh2iLd8TkR0istY3LTRbROQk91g3uutKCPZ9RURed8/fahE53zfvS+6+1ovIO33TA6+1iBwlIitcu+8WkeYqbJslIo+JyAsi8ryI/E3Szp9RG1Fc44iPp0FEVonIz93xwO+/iLS44xvd+XN82wi8xyI8hgki8hMRWedel1OH6/UYzpT7P9U3v+rv0OG2GZUt5e77OM6JO6/gvo3LlqB7L0ZbPutem7Ui8iMRaa2nLSIy2f1OHBKRbxetU93vtKoOyw/QAGwC5gLNwLPA8RHt+2Wgs2jaN4Br3eFrgX9yh88HHgQEOAVY4U6fBGx2/050hycOwZYzgbcAa+thC/AUcKq7zoPAu0Ow7yvA5wKWPd69ji3AUe71bRjsWgP3AB9yh28CrqzCtmnAW9zhscCLrg2JOX/2qflerfs1jvh4rgHuBH7ujgd+/4G/Am5yhz8E3O0OB95jER/DbcAn3OFmYMJwvR7D9TPY/6m+Zar6DlWyzQhtCbzvo7bDt17BfRvHOSl378V0fWYALwFt7nL3AB+rsy0dwBnAp4BvF61T1e/0cI44nwxsVNXNqtoP3AVcGKM9F+J8KXH/XuSb/gN1+C0wQUSmAe8EHlbVPaq6F3gYeFe1O1XVXwN76mGLO2+cqj6pzrfrB75t1WJfOS4E7lLVPlV9CdiIc50Dr7X7VHg28JOAY63Etm2q+jt3+CDwAs4NnZjzZ9RGva9xhIeCiMwELgBucccH+/77j+8nwDnu8uXusUgQkXE4D9O3Aqhqv6ruYxhej2FOJb+f1X6HhvqbHLotg9z3UZ+Tkvu2QkK3ZZB7L3Jb3OUagTYRaQTaga31tEVVu1T1N0Cvf+Gh/E4PZ8d5BvCab3wLh78xwkKBpSLyjIhc7k6bqqrbwPmxBo44jJ31tD8sW2a4w/Ww8SpxXr1+T9zXskOwbzKwT1Uztdrnvs45EVjB8Dh/RpXU6RpHyb8CXwBy7vhg3/+8ve78/e7ycR/HXGAn8F/uq+tbRKSD4Xk9hjOVnL9qv0NDvSb1sCVP0X0fhx3F920l1MOWcvde5Lao6uvAPwOvAtuA/aq6tM62DLbNqn6nh7PjHKRBiaq23umq+hbg3cCnReTMQZYtZ2cc9ldrS71sXALMA07AuWn+JU77RGQM8FPgM6p6YLBF47DPqJ06XuNIEJH3ADtU9Rn/5IBF9TDz4v5ONuJIt5ao6olAF440oxxJPY7hTiXnL6r/7+phi7NS5fd9Xewoc99WQj3OSbX3Xt1scYNlF+LIN6YDHSJySZ1tqWWbBQxnx3kLMMs3PpPKQv01o6pb3b87gHtxXh9sd0P+Xuh/x2HsrKf9YdmyxR0O1UZV3a6qWVXNAf/JwKubau3bhfPqtnGo9olIE85/rHeo6n+7kxN9/ozqqPM1jorTgfeKyMs4ryfPxolklfv+5+1154/HkUzFfRxbgC2q6kX/foLzYz7crsdwp5LzV+13aKjXpB62lLvvo7aj5L4VkdtjsqXcvReHLecCL6nqTlVNA/8NnFZnWwbbZnW/05qARIWhfHCenjbjPLF4IvE/imC/HcBY3/ATONq6b1KY3PINd/gCCpNbnnKnT8IRx090Py8Bk4Zo0xwKk+9CswV42l3WE82fH4J903zDn8XRQAH8EYWJBJtxkgHKXmvgxxQmR/1VFXYJjp7pX4umJ+r82aem+7Xu1ziGY1rMQHJg4Pcf+DSFCTL3uMOB91jE9j8OHOsOf8W9FsP2egzHz2D/p/qWqeo7VMk2I7Ql8L6P2o6idfP3bVy2BN17MV2fRcDzONpmwdEk/3U9bfHN/xilyYFV/U7HfgPX8sHJuH4RJ8vyuoj2Ode9WM+6F/46d/pk4BFgg/vXc5wE+I5r43PAQt+2Po4jlt8I/OUQ7fkRjtwhjfPkdFmYtgALgbXuOt8Gp9tkjfb90N3/GuB+Ch3p69x9rceX2VruWrvX4ynX7h8DLVXYdgbOK5k1wGr3c36Szp99avtEcY1jOKbFDDjOgd9/oNUd3+jOn+tbP/Aei9D+E4CV7jW5D8fxHbbXY7h+gv5PBf4v8N6hfofK/T8dtS3l7vs4zolvfv6+jfH6lNx7Mdry98A6nN/HH1Lhb3eNtryME30+hOOPeNW5qvqdtpbbhmEYhmEYhlEBw1njbBiGYRiGYRiRYY6zYRiGYRiGYVSAOc6GYRiGYRiGUQHmOBuGYRiGYRhGBZjjbBiGYRiGYRgVYI6zYRjGEBCRrIis9n3mxG1TmIjIiSJyizv8MRH5dtH8ZSKycJD17xKRo+ttp2EYRpQ0Hn4RwzAMI4AeVT2h3EwRaVTVTJQGhcyXga/WsP4S4AvAJ8MxxzAMI34s4mwYhhESbmT2x++/zYYAAANVSURBVCLy/4Cl7rTPi8jTIrJGRP7et+x1IrJeRH4lIj8Skc+50/ORXBHpdNv1IiINIvJN37aucKcvdtf5iYisE5E7RETceW8VkSdE5FkReUpExorI4yJygs+O/xGRBUXHMRZYoKrPVnDM7/VF3deLyEvurMeBc30twQ3DMIY99h+aYRjG0GgTkdXu8EuqerE7fCqO07lHRM4DjgZOxumCd7+InAl04bSDPRHn/+HfAc8cZn+XAftV9a0i0gL8j4gsdeediNPedivwP8DpIvIUcDfwQVV9WkTGAT3ALThtZz8jIsfgdOxaU7Qvr5OWnw+KyBm+8fkAqno/TgdQROQeYLk7PSciG4E3V3BshmEYwwJznA3DMIZGOanGw6q6xx0+z/2scsfH4DjSY4F7VbUbQETur2B/5wELROR97vh4d1v9wFOqusXd1mpgDrAf2KaqTwOo6gF3/o+BvxORz+O0rf5+wL6mATuLpt2tqld5IyKyzD9TRL6Ac06+45u8A5iOOc6GYYwQzHE2DMMIly7fsAD/qKrf9S8gIp8BtMz6GQZkdK1F2/prVX2oaFuLgT7fpCzO/+0StA9V7RaRh4ELgQ/gRJeL6Sna96CIyDnA+4Ezi2a1utsyDMMYEZjG2TAMo348BHxcRMYAiMgMETkC+DVwsYi0uXriP/Gt8zJwkjv8vqJtXSkiTe62jhGRjkH2vQ6YLiJvdZcf69Mb3wLcCDzti477eQFXinE4RORI4D+AD6hqsZN8DPB8JdsxDMMYDljE2TAMo06o6lIReSPwpJuvdwi4RFV/JyJ3A6uBV3AS6Tz+GbhHRD4KPOqbfguOBON3bvLfTuCiQfbdLyIfBP5dRNpwIr/nAodU9RkROQD8V5l114nIeBEZq6oHD3OYHwMmA/e6x7hVVc8Xkak40o1th1nfMAxj2CCq5d4WGoZhGFEgIl/BcWj/OaL9TQeWAcepaq7MMp8FDqrqLUPcx2eBA6p665ANNQzDSBgm1TAMwxhFiMhfACuA68o5zS5LKNROV8s+4LYa1jcMw0gcFnE2DMMwDMMwjAqwiLNhGIZhGIZhVIA5zoZhGIZhGIZRAeY4G4ZhGIZhGEYFmONsGIZhGIZhGBVgjrNhGIZhGIZhVMD/B6QyB8EIAzMPAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = segment.make_spectrum()\n", "plot_three(spectrum, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set angles to 0." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum2 = zero_angle(spectrum)\n", "plot_three(spectrum2, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rotate angles by 1 radian." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum4 = random_angle(spectrum)\n", "plot_three(spectrum4, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, zeroing seems to create ringing, rotating has little effect, and randomizing adds a breathy quality.\n", "\n", "One way the saxophone differs from the other sounds is that the fundamental component is not dominant. For sounds like that, I conjecture that the ear uses something like autocorrelation in addition to spectral analysis, and it's possible that this secondary mode of analysis is more sensitive to phase structure.\n", "\n", "If so, the effect should be more profound when the fundamental is missing altogether.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saxophone with missing fundamental\n", "\n", "Let's run these steps one more time after filtering out the fundamental." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum4 = random_angle(spectrum)\n", "plot_three(spectrum4, thresh=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In summary:\n", "\n", "1. At least for sounds that have simple harmonic structure, it seems like we are mostly \"phase blind\"; that is, we don't hear changes in the phase structure, provided that the harmonic structure is unchanged.\n", "\n", "2. A possible exception is sounds with low amplitude at the fundamental frequency. In that case we might use something autocorrelation-like to perceive pitch, and there are hints that this analysis might be more sensitive to the phase structure." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.10" } }, "nbformat": 4, "nbformat_minor": 4 }