{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import numpy, scipy, matplotlib.pyplot as plt, pandas, librosa" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "[← Back to Index](index.html)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Signal Representations" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Time Domain" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The basic representation of an audio signal is in the *time domain*. \n", "\n", "[Sound is air vibrating](https://en.wikipedia.org/wiki/Sound). An audio signal represents the fluctuation in air pressure caused by the vibration as a function of time." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Let's download and listen to a file:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import urllib\n", "urllib.urlretrieve('http://audio.musicinformationretrieval.com/c_strum.wav')\n", "\n", "x, fs = librosa.load('c_strum.wav', sr=44100)\n", "\n", "from IPython.display import Audio\n", "Audio(x, rate=fs)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "To plot a signal in the time domain, use [`librosa.display.waveplot`](http://bmcfee.github.io/librosa/generated/librosa.display.waveplot.html):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RP/YTyy30x64Dmguu08xwbbPWo4jassLGyoWgJiuVS5tc5zQspcqa18Ygho2R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "librosa.display.waveplot(x, fs, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Let's zoom in:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fqz2KOACcbNjrkvHL3iARJzTJktyReIYi8VZYS5dQrtYlnyAQH0/MyBDSIIr4sATv1+Sw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\nkGqNw7nLdgx7bv+qWXO7A5eu9aNgrhWZKXw/nEh2DHGiu4C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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x[8000:9000])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Digital computers can only capture this data at discrete moments in time. The rate at which a computer captures audio data is called the *sampling frequency* (abbreviated `fs`) or *sample rate* (abbreviated `sr`). For this workshop, we will mostly work with a sampling frequency of 44100 Hz." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fourier Transform" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The *Fourier Transform* is one of the most fundamental operations in applied mathematics and signal processing.\n", "\n", "It transforms our time-domain signal into the *frequency domain*. Whereas the time domain expresses our signal as a sequence of samples, the frequency domain expresses our signal as a *superposition of sinusoids* of varying magnitudes, frequencies, and phase offsets." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "To compute a Fourier transform in NumPy or SciPy, use [`scipy.fft`](http://docs.scipy.org/doc/scipy/reference/generated/scipy.fftpack.fft.html#scipy.fftpack.fft):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = scipy.fft(x)\n", "X_mag = numpy.absolute(X)\n", "plt.plot(X_mag) # magnitude spectrum" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Zoom in:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zB5GhMNCTFK3tpnPbWlq11yTf8/KuE/i/P3DjRIcMf/++2SwmWCwmsTV04RPL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\nuRiAszC1cSNhRcGWv7yLuTd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X_mag[:5000])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "In Essentia, you can also use [`essentia.standard.Spectrum`](http://essentia.upf.edu/documentation/reference/std_Spectrum.html) to compute a magnitude spectrum." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Spectrogram" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Musical signals are highly non-stationary, i.e., their statistics change over time. It would be rather meaningless to compute a spectrum over an entire 10-minute song.\n", "\n", "Instead, we compute a spectrum for small frames of the audio signal. The resulting sequence of spectra is called a [*spectrogram*](https://en.wikipedia.org/wiki/Spectrogram)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### `matplotlib.specgram`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Matplotlib has [`specgram`](http://matplotlib.org/api/mlab_api.html#matplotlib.mlab.specgram) which computes and displays a spectrogram:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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t5pE5Ibv0JZpcLmcisVQqpWw2a9kc80GZBJU+a5t1APPEXFy+fNlKZ4wZf1jT\nvtuBsoYkU/XzPYBX1gSZK/NKID6bXJwFvOhwPMPitR7oJQAggExAsO9QYD4BjX6NAzo7nY4lFGTF\niCwlmfaAdcHYAVpg6GC5CJTMW7/f17Vr13Tz5k3zffgRGA/WF74JcSo+E9+BpiCVStmzezEhfo1k\nQJLK5bJ1ktCVRPmLe8AHwbh6UIbAFuDJ/DcaDQMYW1tbymTya4LDl9tCDcAZwzkSdEGvbKqzCnpE\nUmwkwADBh0wMx9jv91Wr1Yw2I7ix8fmOWGzZ+gZF2W63bTHSLkX20ev1lM1mTcXMQoc+bzQa2tvb\ns83tSwnSiqng/wmmXvAGi+BVrGyYSqVi2SJCn9lspna7bZk8jouNKq366H39DbS+PJGrZcDo4sWL\nOjg4UCQSUalUMgc3HA7NmRHwUNzCgLDhKdeQ0aJkrtVqev7555XL5ayWS5aLEyXLWiwWa0CCz/hg\n7TMQnhlWhfYhnBl1doAT1yRAeNrfB2XWGYBnPB5bvRJVfKfTMQbr9PTUnBYOCgGZ9F8pX1/qAADR\nhQB44AwL7hcRJ4cweTEc1/aiWcYKcEYwp3Q0Go1ULpet+wSAd3JyYkwELADrC+0FzAPz44MF4IqO\nEgIFGTBrEIfOPsAPSLLDZwAfXiSK5gdqnTkDsMViMdXrde3v75uOCCDiRaU+YHqGygtcpdXZF5IM\nmPI5mKpyuWwdKTw/7JVvK5VWXTv+jA0YC8BiLpdb06xgaJlgdSgv+eSJccWfQNNLsjVPaWk0Gmlr\na0s3btxYK6dQcvRJAEmVZ1Enk4n5SgI3WgTWLVqJbrdrXU/sYZ+4AVboaJjP52siUsAxDA2aMRKe\nZDKp559/fk1/sFhIr2D8/77sXAAAgrAkq7GzYNrttgWVszQTmSn0F0EbZE8vPsf2Hh4e2mcAE2Q3\nHmEiRiQT8hvcZ7/UnNjobH4UzlyDtiI2tCSj41icmUxm7WAgAAPf46kwQArPzsEWUIAELJwY9WQA\nlm8BQvm7WCwsQIKeL1y4oL29PcsYcODcJzVknwXwGQRbKHqhU6G4cWqofnEEOL9ut2uiQdaCd0Jk\nm2x2ShZcAwfL51BSezElwc8zEQQFT7+yTgB3ZLEERkm2JhDhcVAKgRAnjKPEocNEkKlLWpt3lOVk\nWKw5QJlvcfKiT9q2uB5zA9PDnJGV8dzS6khgQJs/4Cefz1tfu9cZsOYYc77bs1sEHh+EcMjD4dBK\na4wfv5ucqKNaAAAgAElEQVRKpUwnxBgzpmTGrH+vG+L7AbmTyUSFQkFHR0cGMnk+SmY+Q4at85oF\n1hXgCTZgMpmYRgLhLmUwsnCYOp6Lve+V/ehTuGeCGuMP0IXiR1DLqXy+JEF267uU8AncN/7St5LS\nqplMLk/N4zNeLIkPlWT7gftiXNhjrCnuBZaGf9/b21M8HrfOK+bRs2LsAxgjLx4miQKk8Qd/m0ql\n1O12bWxYf9L9f8juuQAAUERMHAsf6hBhDYiegzbYhAQ0aMbT01Nz+FBNiPagMkGalUrFkC+CJZSo\nbFRoYF9jZ4NlMhmdnJxIWgpNEOYgIiLbJUOGmqSEQeDwYiBQK/28lA8QFvL85XLZxowDWwhyZBRs\nTAxKDpqRvmuADXRlNBrVCy+8YMpZ6uGcvuXnbjabWUCQtNZtwYbFUeNgq9WqzTH6BU6CQ6BG7dUr\n3/05/VD5/iAfNjjjDSWJjiOXy6nRaOj09NSERjgpLzqErfDHGQNEuB8U34BMaXWaH46JOUaz4pke\nrxGB7TpLAxOETk9PjWamNkotmYBPpoTIifHzzBNZuy9FjcdjexbWAGxDq9WyY5jJtngers3csR98\nbz/lEUoB6A4o+dFGy3kfMCisM4IyTJDfB4AqQDp7yyu/WQeSLJsGPCDU83uT7BcQw3zD8sG2+LGb\nz+fWwkg7LwkI97N8P0DXmA7KmoBBkgj0MvgC2E3WP8kK83zx4kUDEJytEQSBqtWqBV0vyDxbypjP\n51bChFn4XmJiwDjnKbA3YMg4aZV6O+DWZ/N8L/4TH0cZBd0J/h62jvnBx/OH7yDZYbzYhz5RhM3Z\n3Nw0wbV0n6f/OicAgNp9oVCwCaR2zMLBAbBBJK0Jx3AWbFJpWUtqNpsqFAomJmJTc4COtDpak1PW\nqEn6jBY6iiBDEMZwwnzvfD63DZ/L5Uz5C0UlrTQAfkPjOMnE2Wy+VsrG7na7ajabdngMQc5TypRD\npOUhM2yG6XRqQip/8FKxWLQ+ZgI/98kYwzwkEgkDP2StABIoYwAOc0kphToubAkgicDuFcvUrb1z\nwYl7ACHJKG7mDeHZeLw8/38ymRgYROSG46dk4YWbnmbFqfAZxhwQIq2YgPl8biAHEEUgQCAlrQ7E\nQeRJ0GD++QzryHcVRCIRNZtNO14WOhutCKCFv1lffI9nIAhMAEYACWdaFAoF1Wo1O4aXDBDwTAkO\n8CutqGHArs/U2KOsaco7ktZ0If7AIP6d/UoAyWaz1mIHMGGuer2eMYoEitFoZMHfq8u5H9T/lFLQ\nxXhGij1Bdk7C4BXx/X7fTqKLRCKqVqs6OjpaSyzwLb52Dhjw2go0KjCMZN3sX6/6Z54lrfkwn7j4\ntQy7wO+wNlkjlDZ5JuryXJu5Bfh71hHfhQCPtYSmxe/5VqtlAsVOp6NyuWxt0b5Wz/hT7iB58/eI\nL2JPVyoV5XI5NZtNBwDufwbgXIgAX3zxRXOkoGI2PchcWp0FgHKYoADtiyMF7aF6brVaVu/Hadfr\ndXW7XXMQqGdZ2Bwjyfey2QnAOGCoW18GgE4lGFObh24kY4FC9dQem1ySOSvoyXa7bZkbG5gsEzrN\n17gQ2EjSpUuX9K1vfctEWoAmAAJUOo4NxE02hu7C08dQix6A+WyX+YQW9oEVBTb987Tp+COEKTP4\nMgzOFWYIxwUD4Usnniqk3np4eKhoNKp6vW6fJQhKq6OEoYf9WOEQWROMx3w+V7FY1KVLlywoERBw\nzJLWyi9eAMX9Y9wDpQfPnrBmEKvRFgp9itCu3+9bO6kHVIwtAYZg67U1dDlQbuNeyLqp3ZLhUxrx\nWgrmiu9lDUirtk3WCECUvU6PN89PkCgUCmo0Grp165YxWYAlL6gFtHINQDtdE6w7WhNPT09VrVZt\nv0JRs3a4L58hwxwAphhjfBIgDbEfiYVneryOgcSGoEqt24MPSjAAXH7OWqQM6tth2Qfcnxf8AfSY\n52q1avX7q1ev6tatW0okEtaeC5ME8C6VSmtix3g8bgdv8fzSSvgMyEOjwD4AFODPAGiAB1gGzywB\nNkn4SDxYZ76UiU+eTCZ2hsUSFIQHAd0XBuqldueFNAQVygLUrjudjrUasXF821w0GtXBwYHR577V\nJQgC3blzx37HK3LZIBynC3VKgKbGKMmU6yw0aRkYUDhTJw6CQLVazQCGz/hw/NVq1d64h7gLGhYQ\nwBGjiB9xgvQH12o1a0P0IjJfwpBWLUeIhjiZy6vRUS8fHh6a0NBnStwj2SyBBkU0auFisaiTkxM7\nZpcxiMeXvfm85OjGjRv2IhCyVC/+JLjgNAEEZFCIEpkb6H6obe6dTOLg4MDmgbKQJDvZjUDPzxHh\nnZ6eWskKoCHJgjwHkDDWrDlPCUMfE6QZU86BYL0B9BKJhNGjzCfPTWAB7AAWAG+AQZ+h0lnAWuVZ\nvGB1PB6r0WgYYIJBQ9swnU61s7Ojk5MTTadTo569ZoI15Ess7FnAG/uALFDSmk6CoMDZENjZQ658\nhui1D77joVgsam9vzwJ+EASWAPi33jHu+CA/1owhYLlUKlntnVp6Pp+368GoANRms5mJPAlc5XLZ\ngBcJCiUm9BB01xweHtrLhNDLAEQQE/O9JAOAaECH/9ufswIgY/xYZ4PBQI1GQ4PBwHwF7AqnjkLV\n810EXd+NgHF/2WzWBIbtdluTyUT1el39ft8AmE+MEAjDdnkBKQmQ13SxfwGAgGTYxx8EOxcAgKBI\nds8CY1P4LJNMUlplGEwwgcfXjC5dumQKXBCzJKMOCdAIm9hAZHE4hFKpZNkqrVhQyzAT3W5XjUbD\nsm9/DjaBzmfZABYobX+ICe2FXtBFvVTSWu2TAILzJmBGo8teZn6nVqtJWr59kTE8PDy0cwT6/b6a\nzabV32q1mpLJpL1AYzgcmu6AE84YJx9o6LCAwiUweCqa09Gy2awBDowAwwErCJP8cbheRMa8k30F\nQWBvV4zFYnbMdDwet552jlXt9XqWafBskUjEataDwcAcmKf9fc15sVhoY2ND0ur0tHa7vVabB2wG\nQaCTkxNlMhnrzweAomRm/KCOARroNLw+hPo6L6uilIbjhKqnrAOlyrV9ttxqtRSNRg0c8KImMji6\nHlKplE5PT20PkBF6ZuF7BRvm1h/C5FkwADYOHRW7ZyC4hnfw1JBR6PP5IAjs6NfRaGTjDluEroX9\nw3iyvmFZYBK4Lpkz94S4D7aB9coagUFE3Er5kCzVU9oEO38ENaUe/AX3gc4J9gq/Q1CfTqe6ePGi\nut2uAU18qGc6GEefcEmyNehbjAGwzBMtw9wrb9704kmyb3xhp9NZW0+AMBgEmBfGj7XAc/lSnd8P\njA/+BvYSf0ZSx/z9INgPxl3+P1q1WjW1KUiXV0QyqZ7qgj4F6bGhCSJk8wQKVKyVSsUcNBud0gCL\ngs0Foodqohshm82qWq0a3Ya6lBYfNhRBd2dnx04/g9r0LUkIWqbTqamgWdQsdq9zOAtUcAiACBwr\nwca3xDWbTWNSuE8cLI7MCy5R555tHSST4x450YysDHEdJRycLqwE1CBCQVrxPF3PWBJgQe3Ut6l1\n4/wjkYhOTk6MZmw0Gjo6OrI1gsPh4CScIcJJmANEoQRIv6ZYC5RVYB4mk4lefPFFPfLII8bQcEhL\ntVpdczyAQkn2/4AohE2+3YmAQ+1ZWrbBXbx40ca22WxaJghYYA3jxAnC/sAfWle5j2g0avuGrAxF\nOMEXIOPr2JHI8nhuRGB8juBOsPDPwzoFYHNENMEXVgYRGq1fjBu0OWNDfT+dTptQ8uTkxOrOiURC\n1WrV6vAAesaLfdZoNDQej03bwn0CNMlyUfYTcNnzXK9er+vGjRs2p0EQqNvtWhcF155OpybCQ0wH\nGG+322sAmb/n87k2NzfVbDZNG4FvwQCxvV7PgKEvSZD84DtZHyQ50pKhqlQqtl/83t3Y2FhLhNBT\nJJNJA5BeO4N/Ym/DvvjXVKNhwB9J60dW8zfaGlphfckSVtR3KLGOtra27AyFJYN4/2sAzgUAwDH5\n8/V5+QR0pqd+yTYkmbIVujqXy6lSqZgDBlVyqhzUOi07tPfQMwo6pk7tT4cDSOA0fXuOtBLcsGkn\nk4m+/e1vW9ZEsPY1YYLNYrGwU8A8RUpQp7RB76u0aiUELXvajeyGTEiSUXPQ9GTF0WjUxElQsb4l\njTFZLBZrmS3ZdrPZtKAsyeaMQ4y8GJBAxzMSAB566CF7/wAgEJDGz/i8zwTPgiCc7e7urtWxyXLJ\nrpkn6pg+awBoeCU0mTdsDc8tLbUVd+7cMaDAmPIiJWjrcrm8VivudDomUKQu7EEClCbAjKCMA69U\nKrpz585aBguzwhqkBOBbpnwHDPuKDN9rImiNQ0Q7HA7VarWsbg6AYh82m01jn2AW2EOeDoeJA5gS\nPAk2kUjE3guP80cj4VXtlA987z91cYAI94jgtd/v2+tte72esWwwhLFYTK1Wy4Dfql1sxQ7AAPl2\nOy+wo1xHYoB/oHsALQnsoSQLeswjHSo8dz6ft24j1gvBf3NzU4eHh5Yg1Wo17e/v2zkBiAsbjcYa\nkGae2T+UYZPJ5BpjCECmlNDpdOxzlKVarZaBPfwJDBXrg84JqHzG2AuTy+WydRngT2OxmAk80Vud\n1bOwP71v5R4Wi+VrzavVqm7dumUMFWLJ+93OBQCgJQeUChKHdiIwgbpxBCwEHBk6AtDh3t6eUWgn\nJyeKRpcthChBcWzpdNpqm2Qp0NrS6ox7BGdkNPP53Gh56udsKN+Lj/ORtEbjwTb42i7fgY6AN1kR\nzAg+ABlYAq8GpiTBGBGcCoWClUpwTL5e74/a9O1zktYON5KW4ANBEvQ5DtALyXAs3H+9XjdxmiQ7\nM+Dw8NC+jyDI9QAzBEPAGEiezKxQKCidTmtvb8+UyrAR3C+Z49bWlm7fvm3nQjAvOClYBQIL64z5\nxznt7+9rOBzaGFPz9Arp+XxutXD+nyAmybQmlASYXwIzffCITlOplF544QUrSfiOD8aeeWu327Ym\nOWedIMvzQMUuFgsrOwHGa7Xa2jO1Wi1bl8yFJJsjwEwQBHYWBkFTkpUYEOShq+BgK5iOg4MDOyGO\nDJkA6VvioLGZI0AQzww1TG85rJ4kuz+0Mx5w4wckGUDkv32QA6R4itqXGLLZrHUAsU44MZADqWC5\nmAOAFQAQ8MPhPuyTfr+vGzduaDAYaHt72zoDYMZgeQi6/Iz5xPewpjudjvlA/J4XpwKiKRX6cg9r\nAbCKH/HCQS+Mxu+enJwYQ0lpgL2O7/NHJ0urUxHZL4wrYM/rUNBXfPvb37b3KXidw/1u5wIAUB/n\niFNoS94SCLoG6XkqStIaXVsqlSyDpQ0JMRpUMw6CNifM19sBGaBKNio1W0n2czbkZDJZa/XhJEF/\npgCL36NjaeVY2Cy+/MB9UILA6XjHlsvl7MQ5H7x9WxI0IQ4tk8lYOxTBKJvNGpWOAyGoHB0d2diD\n1MmIqW1yaJHXZ0Bx0/oD8OGceRS+R0dHhuARNjG+fAbn4sETwQTHRXYJq3NwcGAsD4Bgd3fX2vNa\nrZaq1ao5Tl6N6rs9+BvaNJ/P26FACJ+YR+7Hg1WcvAexsAGI3si6AWk4b7JJPk9dnUzWZ5LQnQBF\nxghw49dUNBpVtVpdY4PI0Kkn+0Ow+E5JJqRjXFifrDnWEsCJjhFfbuHsCq9O515TqZTtTV7JzZ5n\nHgj2XJe1Dmg5OjoyACHJkgxeNkNgpgsB8ExZkTXAv3Fv+CLKFOxlr4Vh3gGn3BssUKVSsX2D7wIU\n+rZbdAgIgj1AmE6n2t7e1u7urp08CdvCnoW5IFk4y8rBBsJIcGYH81OtVu2tppRS2HOACVg9GFNK\nsOwHf0gP/pNx8odw0QoMGwz4QLlPtwrrGkAC0PM+x4ulmRdeGOXFpPe7nQsA4FWtqVTKDuuQZBSU\nb5fzrUbxeNyyDxYaC5EAR2YNDVksFs1ZoWb3GQRZIpQmNCMbh+/hvshSh8OhKXw5DQwBEqI0n51E\no8v+dhwUDvPsQmdzg3JB10dHR5KWjvzk5GStRs7zesfJ+EGB0UbjW5s4o348HlsdDYfA7+OgcTD0\n/lLK4LNnx5WsgfHBgQbB8nW0BD+yXe4dZ8a941BZB9RloRJrtZqJmiqViiStUcWdTscOe4I5kWTZ\nvrTez095hedElNTr9ewteZ6eJiDR9eCFU35uCMjMJwCUbBAw5dumOPWRtYsT9R0PAAKCBmvaZ9CM\nJdcGRDPvlM2ou8ZisbUjYgmEXqFNfZc58+vN61pw0LlcTtls1l7/zN7iuQg6lLS4fyhzntNn65VK\nRZVKRXt7e5bpsnfYo4AaymesUUn/BcBApTOPlKL887MPOPXPgwMEgexx9tzh4aGxhnwPAf97dUFR\n9uGETLJmyn6LxcLmH9aA95lQP/caG1T8PtHAJwDy0PmwTwC7/gVN3CcJB7V+khvGjLcikjz4cgoA\nEZaQdQjg8JoR/K4XzQJ4fJmLdYPvIZnh9ezLz/5fh6qX3c4FAEAwVC6X1e12NRwO7XAPj5rJtMiQ\nMbJF7zwJhBx12+/3DWCQofJSCxwIm5+N4NtFoLP4fmqdLDzangienGpGvRDBjHdabHaclD9mV1oJ\nk6BNOccAp0Qg8Rm8d1A4NpwFG9efrU9wxdFLMhCC8tiDJ0RNXsUNuidDxPH6fmiyNjIhWte86pgy\nD+2JxWLRrsXv4Wwk2Xd7Wh3qWVrS0pwB4VkYxorMxR8VC+3OeQ1e+c5Yo4YG9ESjUeuw4D5gaAg8\ngCbGmMDBuoM25/f5OazQ8fGx4vG4gVfm2ivSoYlZWyigfVBLpVL2SmLGGydMvbRSqRhbRAcDJQQv\niqRc4EExAYa96Msq1MAZP+6J+0smkzo+PjYRqq+3e4EtgQBQAIDi8J6TkxMLkoBYatLs5yBYHVpD\ngkB2TVbpSwuAdQInoIg9XKvV1thBadXO6M/8QPfhVfesTw+afRupz3Y51Ayw4I8fposjn88by8Fh\nO+xhnp995P0faxYwRdAEZGxvb1tpcjgc2sFaPCOMAGNOhwDfhy9iTcIuTqdTO7SN50D3gP+mLZK9\nxp73+9e/Q4M1xX4njvgDsn4Q7J4BgCAI9MEPflC7u7uaTCZ64okn9MADD+gP/uAPFI1G9eCDD+rp\np59WJBLRpz/9aX3qU59SPB7XE088oTe96U0ajUZ6//vfbyeRfeQjH1G1WtWzzz6rD3/4w4rFYnr9\n61+vJ5988iXvBSeB00HUBqWDI4UOk1YHwrCwcAI+aOLUT09PlUqltLW1ZfSsPzms0+kYRe0FWggS\nvfiQ+6W2SbcCPaoAi2KxaG+3grqXVv3KIF0c/HQ6NWoKxS8HbXC8sc82EOBA1bLJvSAR6gxjc0P9\nnZycWGZK7ZPMlDEgaAF6cAasIYK7718mM6d+zStZyTgARgQXBJoEXLIiMkWyaTKCszVM1gOZXqvV\nsnvju8kqfCYKUJK01nrGWCC6w3lSXqHcI8k6N1BPMz/lcllHR0emk+De0UrQtsd3DIdDW29kvIxj\nNBrVq1/9avuu/f19xWKxtZMGCSzMD0wTjp59QsYOY0aGxtqm/IHzJciNx2N7bS5rCeZB0lrAYs0Q\ndNkzrOnj42NrHUOghgB0Z2fHAhHzAEgki+Z6rH3/h3XGc9E26kVxHGTkO1x8yavRaNi7CQCYAP6z\nmh2YJQLMhQsX1kpzdDchDgQgNRoNA5CsLeYAn8P8n9Ug4Gc4y4D9y3HKXkALuD7LWiC0PttK7HU/\nrFvu//DwUNKSgWk2mzo+Pl5bQyRD+AoAOKJByliwvbQYMg5e3JnJZOwNh4wRrZmAeXzwbDYz0O/9\nCOwqn69UKgZMl4D1vwlK94ndMwDw93//96pWq/roRz+qdrutt771rXr44Yf13ve+V6997Wv19NNP\n63Of+5x+/Md/XH/1V3+lz3zmMxqPx3rb296mn/mZn9Hf/M3f6Ed/9Ef15JNP6rOf/az+8i//Uk89\n9ZSefvppffzjH9fOzo7e+c536pvf/KYefvjh//ZecMK1Ws3eDw8NzmKkh55AizPD0dD6EYlE7LCK\nWq2m27dv68KFC1ZfBt1DVxOA2dBe1AQ1SlZKPZ9NjLPY29sztPmqV71KN2/eXKPx2BxerEiNlu8j\n4EA5k3lSM87n8zo6OlImk1GlUrEs5CzVTtuZf+MdhpOmFY1NBHMhyWhEMgnKCyBySWutaoAhxs+3\nwCHiw0GysWmxIqump3xzc1ONRkO3b9+WJGvz8Sp1aq6wBAjtEF8x95LW6ovUE2FgvNIe1sUDL56b\n8o20AnLesbLG+E7GnDMtcM6c5kiZgusAeHBMZIO0nZIhEUAAbdlsVkdHR2v16dPTU8u+yH6pj56t\nzyO2klYvMOp0Osb+ePBErR+mDnDtW8roDiHA4PSl1Ul0QRDo8PDQgjKsl6eimQvKLjArx8fHBrJi\nsdWhSgRxAFY8HregwB4rl8smMKNUAZXujwRvNptqNBoWjD3djCqfdetV84jnFouFHTDlGZXZbKbt\n7W3TVKTTaWvJZU16PQg6Ds9usK8ymYwlNABSzhfAl3qRG77GM5scQIUoFDF0rVYz8MwaKZVKOjo6\nMt/FuqFdEhEm64sOFAAZJ/wxnyQKzM/GxoZ1PWxtbZkwkxc2eXBKm6AX13KUN6JgrxVDswUrClgC\nKJ/rEsBb3vIW/fzP/7wkGY34jW98Q6997WslSW984xv1hS98QdFoVI899pgN4pUrV/Tcc8/pK1/5\nin7nd35HkvSGN7xBf/EXf2FobmdnR5J0/fp1ffGLX3xJAIChQMUBkDVz3CaOCkpMWpUPQJS0yCH+\nunr1qg4PD/XAAw9Ye0w2m7VyArQaixRKyQMMNhUBAAdP8OD1rIlEQoeHh0Z5esEdDIMkQ6VkDzwD\nm0ZaMgQEM7LhcrmsyWSimzdvKpfL6eTkxFoeCdw4WLITL0RDZMPrPPke/ibb4t9pi6vVapZR45wI\nFLTm+PILzo/6+9HRkbWl4QBx9jzXdDq1N75RM5S0luUQZD2NCe0KkPO1e/59PB7r2rVrOjw8tGt7\nMSHCMUALQkVAme+hPjw8tO8hk5dkp4wlk0kTTdXrdQt+OGF6synBwEYAasl2AAYwQAQtnrXf76+d\nygd48fqYXq+ny5cvG7vkx5H1jk4G0MmapI7OHKLLAHTBtkgyJ8x4lstlC1A452KxaOUYwD1zwf6L\nxVYnym1sbKyJB2ezmY0xxxDDbhAkyUYBINSa6b+HWmZf1Ov1tdbTeDy+1h3BeocNpJwFjYxY0mt7\n8KX4LQISe4Z1yc+9sBOwW6vV7C2fXvDHnPLM/H+j0VCv17M5CoLlCYUwAmcFrf6QIXQqgFX2rrTS\nFm1sbGgyWb76/OrVq7px44aJswFL0P/4B8ATiQ9j5M+RmM/nunPnjpU1EWiynhCFe+0Mv0/nBckb\n81Uul9Xr9SyR9Pewt7e3BhLPNQNAcO31enrXu96ld7/73fqzP/sz+3cU2/TL+p/3ej07BtJ/Fqfk\nP3vr1q2XvJc3vvGN/1OP9d/a9wtEfljtJ3/yJ1/pW3hF7dq1a/f8O65fv37Pv+Plsle/+tWv9C18\nT3vkkUf+x6714IMP/o9d64fNXve6133Pn1+4cOFlvpPza/dUBLi3t6cnn3xSv/Zrv6Zf+qVf0kc/\n+lH7t16vp2KxaOfMY/1+X4VCYe3nvCHKq139NV7KvvrVrxolhFCFbJSDQEqlkgm8EORARULrIUBJ\np9NGSSIwgQKGJqKVC1TsDzfxB4l4tOoPJWq1Wpa5QTVtbm6aoplsiHcAwGiAZEH8ZELQ4dB3oN5K\npaJqtarvfOc7dkLYxsaGqZy9yM+rkWEVeObXvOY1+vKXv2yZA2PD7yMQJMu6ffu2tWZSlyYbRQDn\nT+qD4kYh7ueDE+fICmFRyKpbrZY2NzdNKEkmevbFQLAO0ILD4dCyaf6gY/AZaSwWs1cAoynwJypy\nvwjpqGnyfIj6UEXzmel0avNfKBT0mte8Rv/8z/9s90yWhBCLZyITJFNkDfhMJp/PK51O6+DgYO0e\n0AygeYCxkFZ92+PxWJVKxQSfjBUtXrSSQhPDRlHz9oLF2WymcrlsLXOsbc5pSKXWX2Prx5wEgQ4D\nPsN1eYslwt9EIqGLFy/a0c1QxZFIxF5J/Pjjj+vZZ59dY/14fi/KJUtMp9PW9YEoDX2LL9swp559\n8a2mjBPzRqbNHJKxwmYg/PW0Ohm+3z90Q1DGoizFWMM+tttt0wbAHBQKBXt3CAfbUCNHZQ81D9NE\nRozAEd/B2ofV/Lmf+zl9/vOft1bqVGr5LoZ+v6/NzU07m2Fzc1PHx8eWvXPGA+Ukz2rxbOwDSgS0\nHScSCe3s7Kjdbts7SPzR5/he5gbWAHaVPc93sYel1Su+OWo4Go3qoYf+t2KxV05n32gUXvIz90yq\neHx8rHe84x16//vfr1/5lV+RtMyQ/+3f/k2S9Mwzz+jxxx/Xo48+qi9/+csmKnv++ef10EMP6bHH\nHtMzzzyz9lleWnHr1i0tFgt94Qtf0OOPP/593Q/OD7qy3W5by1O1WjXKGgqHDUftjxo9Py+VSna0\ncBAEunjxor24A1qfANDtdm0jcXY+pQLELAQeSdaVwAEy1Jmpl8KYQP0FQaB6vW6UIo43nU6rXC6r\nUqkYfUsgWiwW9nrimzdvKpVK2TG2OBLqppLsYIx4PG7fKclq45LW3g7H/eGUY7GYnZXAuQKMHwAI\nJ+XPHvCn/rXbbduQtEjSBonz8i1ngDSoV+q6XIOgDsUL5Y04DTo8l8uZ8hng4UEJQlBPfyOoA4TV\najU7JAdgAvXO+RGVSsWOOUVQhkjVjzegAKEf1wRgMva+fQo1OZ/xHQZe/IqDHg6HOjo60sHBgdV3\nAUBoNYIgMEdLcOMwJ08vA2C5F9Y690M7HiWxUqlkQYX1gf6Eczh8uxliP2lZKtne3rZAtLe3Z3uN\nl8dqmA0AACAASURBVOhwBgiK8/l8rmazudbm2Ol0tLe3Z1qXXC6nRqNhOhpKD5TAKOsMh8vXUQN2\nk8mkqtWqBWHU5gRM9it7kzo+a5x9HASB+QNJlkTwcqjRaGQttl44y+uhCfq0sPE+EGhzSheALgL2\ndDq1o8ml5RHEaHcQrCKs83PNfJM0sI+Zf4zkhUPVvJ8aj8d2DDUlhZs3b+rw8NB0C/h2tCONRsNE\n0owRWhXKBNKy9EfJBUDKOQU8E2Caw7CYU8SWiESZF1pqi8WiarWaIpH7vxPgnsGTT37yk+p2u/rE\nJz6hT3ziE5Kkp556Sn/6p3+qIAj0wAMP6C1veYsikYh+4zd+Q29/+9s1n8/13ve+V8lkUm9729v0\ngQ98QG9/+9uVTCb1sY99TJL0R3/0R3rf+96n2Wym69ev69FHH33Je5nNZuZQqeOz0NmABDqvAEdR\n7oOUV59Lq/Pab9++rclkYr3AtBgSMOjfpiZHHexs/Y/FR+CiRkx7EwuS4MAChhmpVCprKl2ySt+n\nzElhiHxAx+gM/IE/vMqYZ+c7cX7SqtyDmA5xFIETUOQPVGHjk3Emk0kTa3mBIxvPjyXZpRcpcV45\nauv5fG4iM3+CGvOGU2H8CIDSMgjSMcGzkdUg+KPeDTjkBDtAAC/+ocZI65hvZSNLhLlhnVCDhxnp\ndrt23/V6XcfHxwYgWNcEQ/8CKsAH8+u7EMhuWfc8KxkdTA+6AD8X0+nU7s+3etEfjrNlb/k2VgRv\n6XT6v5zO6QEs69/rJfi5Bxw4bEACLAH7gz00Ho+tTk8w862C6Gz4Ob9LQIKhgV0gY/bvo5jPl6dy\ndjod0yFQJ5dkfgTWknXEvvKCXUAeSQN7niORZ7OZqecB0uhlyFBpg8OfeN/W7/etdZL9ylix19Ab\n+TZgxiYIli+doiuJuWFezj4P+597Z73BVJTLZWtvRojtNScAC8bRr2PWZCQSMWAH4+X9ezwetzlG\nc8B8wsTgC/Bz+HqEiB7MkCBNp6vjryeTidrt9l1x6f2vAows8OI/xPbss88aDQh1SMaBcwTJQ3GR\nnXskDAhgAfsz/sky2Qxku9CX8fjqjHfa5AjqtJT4AIlzIEsnYFy4cEHHx8fWw87mBO3i+KDCcASw\nChgUKJ9HxexFcSixWdzSqo2HeyVo/NRP/ZQ+//nPr1GzOD6PvHlOKGeU+9LqnQ3QoP5NcjgsWBiy\nGKhJWrMYJyg57pcxAdxUKhUlEom1l41Iq8OIvJOC/fE94D7r5vd5rTFlCsSVOC/KLjhK/zycgQ59\ni6PF8aTTab3+9a/XP/3TP1mAhznyZz/47IlAAAjwbZwEZAIfJ5hxciNCtsPDQ21sbJgzxF14wSAZ\nkBeHso94TlgIDtkpFAp2OBPvnyBgkv3THYNAlDZBSgk8G+seYOudciqVsuswX6jFCSQEzWg0quvX\nr+tLX/rSmkjPtx361lH2g2/fTCaT9s4QTykjPmVvAR68QJf1R6DhGQCZjAmg4sqVK2q32+r1enbq\nJPMBU+nXAHsDgM1LkPB70ejqbZR8P3u11+tZckGiAmjAxzHu+FLfJcS4AaB/+qd/Wp///OcNMAFi\n+U7uw3eysC/8u0r4Pkm2l/k+9jEA0ftHfBqKfeJBsVi0sePgLoS3+HBAI+VHugl4syWJygMP/C8D\nQa+EfT8lgHNxEBCvKsUxETjJJj317ik5Fi/ZCe1BUJU4vNlsposXLxoVh9NBwQ9VytG9BGSf7bOx\nQK7QTt5xA1Sg6nhPOIGOxU826NW8PDtBnQzDOyRoM16fiTKczJKMKwgCc+RkU5KMTvUHH/kaHUHQ\nB1lKDgQhwAKOnc8yR8wDgYXg5x0N2g6ovQsXLphYlDKNp6ShglkPMCrMz2AwsFMGPYsEM+Ppzdls\npo2NDR0fH9t6IMgT1Al2zLWvveOg6HxA9AogoaUS6p3jXs/SsAQBH6ikVQ8zfe+wDgBdjjKms8SX\nxwAwqO4BtjhCnDVrhHmB0fAthWgrCArdbte6UKDsCQgAQu6JOjdrjTKa13j48hUg0av5WWexWEz1\nev2/tKf5sgXfQ8DxjCAZoT/Fjrlk7W9ublpniLQ6AU9aHbbkgUs+n7ezOQB7sH+sNXQ4rKter2f3\nCDgjkPl9FIvF1touYUcYH8ZbkmXXzOPu7q6tHV9W4Pe8rsPT8szdbDazw3Qk2VkhgBbKpawp36ZK\nrR2/5VlCno/SBAkKa4muL3RAgAn6+GGwAIfse/YpYwMQpbxEu+3JyYmy2awqlYqOj49tD/8g2LkA\nAJ7+5HATasCI/0DEXsQFQ0D2ihiEOilOjZdk+JYjNoinB70YDBRNcOMzPkDyOzh36C0cC46BzIOF\nnE6n7WhMj9QBC7QJ8bvz+dwEMdDi7XbbDjMiQ4B25EhdxgQQwIEx1N1gSKDioTo5xpjxC4LArgnQ\nIUDifHEEvoYOfUjQ5nf8iVypVEq7u7tGK9brdUPyBABp5ZRxcNRiaa+SVq9u9SUP6FScSTwe1+3b\nt+3FKghLfUbD2x4J2GSLnH0Am8O7AAgCktbehTCfL088bDQaJmzzwiyyZNYwzpLsk8/6wCLJgGK1\nWrVsG7ADy0LPOACJujXf6Wl5gBb7h0y2Xq+r3+/r7OmBrG9AFuOBkI8AIskEnZxKyDV4wQvPw5ri\nHjjKVloxVcyrPzAMRo91AGg+W8qjHENGiVBvMpno4ODAPg+wxw/ATgFy2MdecOoPqmIfeMYFgAnz\nxbr2NDg+EN/nNQEE/EqlYi/P8aem4ut8e+3ZF1T5OeHe6c3Hv/kypyQrJfrP8vwIW3kWkhrWo2dw\n8FG+FZCEhT2xtbWlg4MDE/qSrHAgFs/lGVTPYFBym8/n1o3GnmT/wCpw3ch5bgO8n4wA4sVd5XLZ\nHAwBnuDDZsWREthYLLzGlANd6MeWZBvHZzoAAtTDZGewCGxsKCgCAdkpjhRA4c8T8Fmpd0y+bOEP\n5fEZNapuFjkvamk0Grp586a9xnQymZhgiCCN8/KZAOiescZ5U16gt5uxQZTFYSleDMjzE5SklVLX\nq6ehSUHggAIcTqFQ0MHBgS5cuKD9/X1997vftTGBLSAzlGS1Xd7256lumCBfztnZ2VGz2bQsB9qw\n2+3ay0HoNMHZk6H6DIr+cH8oEACJ+ZbWaU8OORmNRvbaYa/DoDSCMp9xpfsCIAXQoguEuv3W1pYu\nXbqkF1980Uoa0orpQTPCvgHEABBgKABVBHcCNEG9VqtpMpkYE8I1mGtJa3uAcaP0xumCsGxkvpTQ\nGGNpxY553ct4PDb2QZJlkgQ/7oP1V61WLWDA4ORyOc3ncx0eHtpRshzkRRBEowLw4p6YH2hkAA/v\ns/AABQAHUwnA8zQ2YMfX4WGqKFGwBwB1vLQK0EJmzDwgeiZZwmeyRlnTvGuB0iQZOwwg+1OSdUr1\n+3098MAD6vV6pivwvtuvAXwCbAkJBe/ggIXwrwCezWba3d1VpVKx/XN6emqHMgEcPauFyNYfLuTL\nNfj4YrFoPhL/n8lk1G639YNQXI996EMf+tArfRP32m7evClJawpVHAOZEQ7Z15uYeBAfi5xN5lX+\n4/FYW1tbJpqpVComsCHjxWF4FO4V0YvFYu1gDa9whpXo9Xq6cOHCGosAwvetczhA0DMBCydGIGbx\n40hHo5G9a57gC/3OZubd8yDn+Xyuy5cv21sKffaZTCZ18eLFNaSNKA8WBrX+5ubmWr3aZ7RoAXx2\nxPVxZHQhENQjkYgdeOIPEvJZWrFYXKvH+xYtHBaODDEbP9vc3NTu7q7NAy2iPB8nneHoEXzSPeDp\nRYBcp9OxViIyIhzgzs6ODg4ONB6PdeHCBXvfAUwPdOfZ2ijfzR/WLUCKti6OeWVN8UY7QBAlJcbg\nrICStkD+9kApEonYgU+AjlarZW1zfIen/BOJhKrVqqTVy5ZYC2SKZOv+5VP+0CLmBT0AWTCOXloK\nK8neLl26ZEcsAyDZv4AZvhOhqbQCzwBBz6YAiNEU8HyAeYK1b7HDFwDsuXeyVJ+dUjqbTCa6evWq\n+TW+C0Eda4XuIL9eqKsjXiX79jV5BHQcDpZMLt92SoLEqab41Gg0ap1DrHXm6cqVK2o2m+Yn6QJI\np9N3FfSr0xFjsZiVcdhfADLYLE/9E8w3NjasZRXfQJICCwTYQ0QNm0orMeBmNlu2q6KRkWR+HLaB\nMUAsXCpV9Up2AuRyqZf8zLkCABh1btTpUF78N/VHsnff2wq95JWnsADQ7rFYzI7iJLvCIVKXJHvB\nWbNhfKbH5qQ2La3aGf//2hVBqNDK/vsANL4csLGxYUrjRCJhJ6oR2Gez2dp7sc8CDUoKV65c0be+\n9S0bE+6d+hsZLUEE0AEY2dnZMSBF/c4riz1tDZ3MuPn58QGVUoS/V4KzJHsbHf/uT38jazl7H7A6\nkUjENBiANOaATLTX69lrjAnkHClK4GW+aMuCVub7cMT9fl8PPvigbt68qUgkolarZWdA1Ot1Kxkw\nPzAzBF+y/3Q6vdZ14N83Ae1PwPG0M+uAz8GEANhYn0EQWO+83x/MDxSpP/9hPp8bgxGPx1WtVtfq\nsWTiAGg/TnwvlDqCLc9WcB/U+re2tmxsuCalq2vXruno6Ejdbtf+0NcPmGBegiCw8wu2t7eN6fJd\nC7AsGxsbBuABJzAt0qpM4btyEEsS7DxAozThE4jBYKDDw0O7Jtdn7KHJeVbPCHotAckIr+sFiLLv\nAVrxeNzKZNw7e9rrkLz4kr135coVHR8fW3uuBz1k3pQgfTmUNcb4URadz+fGULIu+X+CNJ9B5Mp4\n+E4M9jHADAASj8fVarXsxEvPaHkWaDQa6eLFi1osFsrnSyEAuB/s+eefX1Pc8sYrKDHQPTQmiw0E\nSPAiO6d+jGCKYIRTkFZCIsSABCAWjKQ1EZNf1NC0bDICEPQ6mxfnOJ1OtbGxYWp17leS9bbitLie\ndypkv2QU3CfKeoIIrXa+xjibLdvrfuRHfkT7+/sW4D1lvlgsTLxFxggg8UIrMuREYtkLTlZMNj4Y\nDIxGxdHi4HE8UNlcg7ni8wjGvOAJEMKzE/AQ2lG3lbRWesABeJU3NW7mmNo5Y0gw454pE8DYwA6g\nNGYtpdNp7ezsaDweW8shtC8Wi8XU6/XsHmFKAIx0juDcPIBi/lmfjJ3PaFlTZFxeoOrnlLXp9S78\nDBEiNVSvr/AlrkajoVgsZu9LYG3yfawp9iPgAQDC77CvvADWH+5EmYTM+vLly7px44akZZcPdW8P\nZryYEPBA5ssYnt0DHM8NsPRCOp+94nP8nue+KaP1+3212201Gg21Wi0bW9YygIDzFGASWaeMN6JE\n5oO58f/OXmd9wuKQQABGAIsAXNgKAqj3ibFYTJcuXdJzzz1nPhDKHSaFfYD+AF8NE+BLhYwpZRie\np9lsmp4EzQT3zLMyZzwP5ssOzAtAHjDhwUGhULDSDICkXK6vlTBfbgsBwF3jNbdMEPUrL4Bio0PB\nsgBY1NSwyLr8qywJIL6fFuSPU5RW7//2tWyCM6wDwcLXKX22Q0eDb2UBtY5GI3U6nbVzsyOR5Sln\n1WrVShj8kVY1trPBHmdytobn78c776tXr+rFF19UNpu1w0iw2WxmVBv0Mef8+zq8p5D5ftiCarVq\nZyuQjUH9EzSYB8769m2Y/X7fTmz014Uy9OId5p76HtQt1yLb5j4BDQj+YDIIEvyer5VLsloq1was\nMC+sH4SfV65c0de//nUTDqLRgIZm7a1eRrJYo+49k8G9+Uy+Xq+bFoF6KiAAx+rBE0HYiwMJbgQl\nhHQ4cEAYz09pK5vNmpJ+Mpmo2WwagPDrlVo5QNs7asSoCAAJpOw/KG9/UiRlJk423Nzc1I0bN0wI\nylrzmg3fYcH1CS4IN0kMAL0EHp6Je/NaDPYdnyXoowEhe8ZX4QfITtGQbGxs2Hr2NXOvaYBRI1OW\nZOdwAE7p9OF5KON58HQWKHi/ig+jzo4wOJ/Pq1ar6YUXXlC5XLYXU9VqNU2nUyvLoQkpl8uWyQMq\n2CMwnSQPrBe+l8CNr+YkUvycJCtLsHb5A8Bg7XEN1gPPQicOaxvR7w8CADgXIsCTkxNFIhFrfwFl\n46ikVY3Ut0mB5HHAOELeLQ1KBUmyGLwynN8hwJP1EOx8zcxnjjg2HB3/TU1tPB6rXq9bBuQRKZua\nzHcymdhpczAV/oAbNhkbmYDN0a5sKDJT1N+0HhGAoJXZWLR3kRUzRt1u1xgYavM4OrQWw+HQgBtU\nPfeCEh5BlH+5EupuMmTuKZlMrr3SE3AFKCQT4ecEFObBB2SMzAKmACfNGxMJvmQ4ng3B6TOmOFWC\nKWpjL06SZH83m01jtXq9nom2PL1MoIMK5lAinpd/g3UhiLRaLQO9jE+9Xtfh4aGGw6FyuZwqlYpl\nOv5zPBsBdjqdGqjjmG1YN4AE/f0bGxt20A17ACaCPYM2ACDG+vWZoLTK3Gaz2VrZjr3CvpBWb5/k\ne2HaYC88U4KYDxAMAEgkEpadM7Zk+TBYBBnP8LBuAcceaLJnzmbHuVzOgBKsBy2IUPisWw/EWe/+\nnrwgFYCGqA7/x2vD8Zv+egRZrkO5gZ+zN4MgsFeMM0cwijBhJycnBtb8YU2AUPwyLI9nZvis1xqx\nj3xXEtflND+YAS9OZr15v0uHlNdMAVL6/b6q1aqOjo4MkMBU3O92LgAAG583c0HheBS7WCyPxsWp\nYiw6SeY8WIw4cWkZSFG0synZLNPp8k109LZyDRw2yNUftILABXHeYrGwg1NY+IjA+H7AA0Eax4JD\nIchAeXKCnS9X4DigmhuNhgVDLxw7S+NLWnurF1k2qN13J3itAoIZNhXj4Z8Bx0kWw//7Ni+yWQSQ\nntZEtIiIic8x/wR9NjcbF9DnqXSenTH3KnEyDL/G4vH1vniYAxwujp/fwdGMRiN78xjZjbQUaRGs\nvOCRQ1qm06kajYZGo5FpFcjkcIRkvmg6mO/JZGK/CyPB4T3MNeCTMa5UKopEVm+aY0x4dkAeAAUm\njo4cslM6KGhx5Mhf6HqeU5JlstKKqua7CD5Q0LySFuU3mbcXluL42T+MOcbPARMAAQAp9+zLKZQU\nCS4wP2dLRuhBFouFUdiUKf06I/hTHuStkV7cShA7yw6wxsmcWfv8DH/1vXRGzBVrCE0PRwf7157D\npOFTeV6vQwK04E+5b9b92W4tX4dnrmDAWP+sD1gXQBVrf3t72wADSQVJGoCcMgNjjD/Bh3GfdIHR\nQSItGRnYRu6h3W6rXr/0fceoV8rOBQBgkun7LRaLOj4+tkVOFuEpJt9SR1sMp3BRU/PBhoWFwMmj\nRZygtHrXNwuUzcA1+Vmn01kTaOHkcDTQaiBaX2v1Waevc+OouHd/9K5HwzxXrVazDSitar8ECDJM\nngE1v3eU/qAiWiT9uCBqIkODOeF3UO56RO2BFY4fEWM6ndb+/r6xMwiUyNbp149EInZoC2UdWAZE\nZDhCxpAWTdYP/dcEA07lw+l7ARp1WShUgroPbDybb+kCYHqneVZkhgPFSZ+enlrpB3CJ8/Ytr7xg\nizHiPe6AF2rdjFUkEjFRo6/De0BIsDlbvuI7KWONx2M7vY6ef9Y0ABGgw7yTNZNx81xew+OZu3g8\nrsuXL+v4+NhOa+TFYrBI0uogG5+xeeGotOptJ6hQOwb8eKDOWqMNDRaBvzlLg31CkKazxjNtqPcJ\ndtTivbgPEH22QwLGCrAHMPOCQ69ZYA729/fVaDRsLW5ubtp6hTkEFKGwR1/E+QBe/MxY8sIsjA4f\n/uZdDKwvymPsMw9W2DuAvWQyaQdbUbagxLG7u6vpdHVQEfuLLi18mW+xpLwGuOcP+5VzCwB77Df2\noWcQ7mc7FwBgOp1qc3PT3mTGW9t8FknNEwTH5vd1LK9+nc+XbWf1et2QKk5U0ho9SABFtQsSHY1G\nKhQKKhQK1rdKpgUFDhVPD64XBbKZPGVH4JC01lGAgXx93WsymajValntixo9gS6TydgBHF4bQWDG\nGQBSPPKfTCZ27C79zIwJ1DRiLQIhmSpjCTDxB4V4RsMzHDhdNAK+fi9JBwcH1u7nD0w6e612u22O\nGcfH/FMiYR68Q/ElBC+qpOYOgPMn1wEuOOEPp0f5iRYt1hXME04c9ol16Wv+1G65V2kJJjg/4Htp\nIVgXZHcEE9YUgZtgByjCuUL9BkFgegzYG0pngAoYE5w3Y+UDLFkfzAWAkfnmRUX+nHeoWA5SYoz5\njC+3cU0SBDQGBFBAoA/U1J0J+tPp8q2g0ejqNDuAode6wMR4gSLAOpFImDhyOBzq5ORE1WrVgilr\niHd9zGYzu2cCIEEYVsNn9YAE9hIs1MnJibEHjK1/TwTaokhk2aoLde9LIawVfIxnbfBph4eHa0JD\nfOrp6aklJjwna4FzBWBDyfCZCxg0QCSnjrKuotGojo+PVSgUbE2SjMGQbG1taX9/X7PZzOYDP4kf\njMViVopk/kiaUqmU9vb2zE+Xy+W7+/77i0+vpJ0LESC9zBsbG2ttMACAxWJhi4PMyAu++HcO5kin\n06awJQuSVv24LFCfEfpM0bMLnqrjv6EIyXhyuZwFpEqlYkeEglBhIaTVIS0EYVS6gBTqfGfrql4g\nycb3Nf1yuWxZGdQpDn82m9k5AGRloG3GmKDtA3KhULAWNoIW2SeUmq/FsulB/B4E8MIcgg8UtKdi\nYTqYK7IHggUOUVoxKtwz/88c0kkSja56namrEqDJrPk3zNO8HEglyX6XYJnNZm3cB4OBrl69qu9+\n97tGpfN8BwcHkmQ0MwGLwNHpdNayJxgE3+6XTCatx5ksr1gs2l4g2HnRJmuf+5lOpyZKHI1G1qLG\nOslms9rY2LBAw/r2Z3FUq1X1+307ZAuwhMXjcbs/6u2+q4J7SKfT1lsOEGUtA3LRRNABEQSBrly5\notu3bxvQPrvXAQcwVqwzf4w2awjQyH724tn5fL6mlif79+JbwJAkG+9oNGonNAIoyWQBHSQaXNuP\nD4CVMfH7NZ/P20E8UPGsD+611WoZkwVoAIRyNgAgA3bQd0AAqra3t7W7u2v7mzlANMs+5iRRdA3M\ni28pxBd6sIVfGw6HJiIsFova39+XJGttpmQJuGfcuLZvH/RxYzJZHaOMLgbgj48ole5/EeC5AADf\n/OY3LTAT5NgMLBrQKBuGiSQD8ZQrmxMwAcXPJvYtN3yOerRnEHCAfGcmk1E2mzVKjcyMmhj3B9on\ncJH1szEIgNLq+FppdRYASmrEKoAHHC+bj+AXiUR0eHhoNDDZL45sMpnoVa96lb797W9b5sS4SiuB\nJUIpXmY0Go10+/ZtO5CDzgA2HSCGIOJFVGSvPDv1RcoBkozOZy6Zf8YMp8J1CDSwCDynLzmQVeF0\nYSfI1BFqSrIT7lgLBMwgCNbOPvcaCQ4PwgnncjkdHx9rPp/r2rVrun37tiRZljkej7WxsWHBnLFm\n7FhjzLG0asdCy4LIiWcgI4cNYx2RuUMzAwRhdAhyBGV+j6DnleiwF740w+Es8/nczuYHBDD37F/E\njKxRdC1nM39PzfMqVzLaxWJhDAyg7fLlyzo4OFhrUST7JbCTpfPdBB8+T4ltNlseHkNGD1tGICdY\nEbhhUWA0oKbpSiKz9qJhyiYEW1g2MuDZbKZKpfL/sXdvMZLt11nAV1ffZ7q7uqpvc+uZ4wmJbUAG\nIoyUOA68BIkHHuAF2UJIEQiBCBFCRIFYAgII8RDEA5Z4gCcShEAIJJB4QgIsOUEgICRgJ/Y54zkz\nZ2b6Un2pvk5fqoqH8m/Vqg6xTUjsOYy3dHRmpqt37f2/rPWtb31r/XNtWr9AUkSMpS49v6BAl1P3\nqn0QzAeQJVCSGowYFyECIRER9+/fj1/8xV9MuhxbtLa2Frdu3Yrj4+NcP+4t4qe/qiV83suzsUHV\nTgFTfseYAsp+xpmbN/ve57TyNvZ1LQIOExMT0WqtfRcAvAnXq1evMtfDiWkyUcVg0DC0ix6uxhQC\nZYjkuyJGgkGCOfcjQoOkbSYL0el51XETaOmRPj09PC/e6YBzc3OpbJe/pA52QckMi4oDgIAx1/jH\ns3s/eVqCH1SvKHLY7WpoaB48eBCdTmfs1DURQmU9PJOosh4yhHasTEil5Tl/BzkZSwakAjVzOzEx\nkQ7S5hRRMNSYA4ZVkyc0d0SkE4+IVP92u90EGNIW3hNI852ixqqClj8HDABPxgWt7YQynQAnJibi\n/v37sb+/H/fv308HZu5Ec95Lasd8VyGWMeKEvKeGQAAO+pOh1ZSGw5VPF7WKklD9lZmo82Yd2zPm\nvJ4NwXFhTrBYEZFgu9VqZY16TQf1er1YWVnJKgTGHMiUp2bg79+/H0+ePMn71IqZk5OTX9PXo4re\nrN2jo6NoNpspspXLt6aNt2ic7VDRgsbG3BCDmj+AGLumEujq6irPugBw6xkOHKixqSkeDbYAHXZJ\nMOLERmvN3rE3pCqs+Zufow0w5npaAOvG6Pj4OA4PD1NvU4FrDZr82fcAl5w81oGIF9AllrVW/e7y\n8nIGZt1uN1OySljZAv/VdFoNFgG7iYmJWFlZf+MBwFuhAaC2JQRhaNRSV9RYm4hEjBBsv9/PBb62\ntpZ5fAvPQUByTLWOmGOs52aLaAnPRFGET5Cl06VseJ3HFhcXU7fg/xGj8qfan0DFgNwlw2EzKie0\ngEU1ognRZm0Cgo2AfF2Tk5OpW6DOZyjRy0CFZkruOTMzE51OJ6NPjhj1Z7NiL2oO0BzX3KASuu3t\n7bG8+97eXqytrSW1V9ut6kKnBjkixp673+/H3t5eahsiIoEStqIebCICvCkQBaIIFFHXPiMKx2gY\n406nE+vr6/Hs2bPo9XqxtbU1Jmhk7GpqypxydkrZ0OnX19exu7ub/QMiRnlcz24tYE3U2pv/Cmw4\nAAp+USHBH8q3ppPoWzBkOgnWeQQqamln1cPYy1W3UHsSSCNJr0QM02vKcTkj727/AobAIgGf/L9z\nkAAAIABJREFUoGJycjKpceungmrPUzU6dW6882AwyEolLJPGW8Rmg8GwWmltbS12dnaSCbR+pUXs\nhfq97BpnZQ7YyPX19Xj69GmCUQcg9Xq9ePz48Vg6wf7v9/tjDAjxa7V/Jycn6Uy9R0TkHqMjAf5u\n374d+/v7ETHqeSBgMx7mqLZBruPLprLdxK5KXbElbBOhJBtq/VT7I9ASvJg7OhE2wb9VUember0V\nAMDEQWY2rokWwWvoUCnS2hjG5Fto8lYQObDAqEPVcnERo/xvRY5oV47WwkPb+d5ut5upjJ2dnXSE\nIiad8mxw0dxNcaG8VcTQYW9vb2fekcDNxuaoCHE43IrGK0qvkTanI/ITUXFO2pwCXpw0utfz2myY\nC78HZFSVLpYCC6CtaG3vvLS0FPv7+zlvcsGclpRQVfMzFoCJlEyN3Pb39+PWrVt5/7Ozszg8PEyN\ngMhUZIKC1RNC9GAMMFGiy4jICgVCNwaUERI1V81BFdRhS6wLKRtrYWZmJu7evRudTifZGnsGLepd\nAN2arvL5qampdJTA8sTERLaWrQK2o6Oj/LNoy1hXPYp9oNxQ6kJ7Y++uDBXlrtHMvXv3Uj8jciQM\n9rsRkayUHLE9KT1TRW+YusnJyaxy8d0cHeEhW1PfhVYI0LAWgERj2+12U2B2enqaJY31+GaMAWfn\nOTBwqHnpOMK6y8thnxAlwVXkBpRpp15LqOX8AeapqalMmwFEQLHDtaRj7ONOp5PvQfAnSJOCmpgY\nHcpV1wB7iinQKIydUMIKaFprQDAbb30DtOyLgEmwUbVajUYj59vf7UFA/MNwvTUAAOpGdzFo0ByH\nhr6VJ4uIzNtGRDorwIABrSUyKysrmU/1XVVJLkKqzqc2uxDRHh0dZXqAUYTAa8Mc0RGVMCNale3Y\nC7lNuVcn9KGwjZXOeSJWzxARWa8cEUmBGidj6DsBi+Pj46T10MqV9qWoFc1OTk6OlReJ/C8vL6Pb\n7aYDtpkZDgaDwlwUjfJcXl6OmZmZWFlZib29vYzO6ncAMe7tnYi86CDa7Xbs7OwkDd5qteLyctiT\n3YEmvgOQihg1mrEuRH/WUlWnV6o+IlIMChDqL1HFltY8TQpGyThw3N7behLVPnnyJA0f2pQTUepU\nKydqJFhFtqKgWsK6u7s7Vp0hFYPx4JTkeAFIDFbNo/t+IBngBGy8O2FZLfmqQNzedtG1iKRrSsna\nvLnGPHddw8B53fdVJ3HT/gD39qm9aLykjOgYRNr6d9C2ADSvX7/O9F8t4ZVyw1wZI4FKPRmRCBAb\nRwuCRvdMxkfVhzTCTVBY2dXd3d0cI2yFZzPn/X5/jLZX2up7rWNrACABEqTpPKt16JlrGsd1fn4e\nzWYzqwq8g3UHFAL0WFdNiI6OjmJjYyMivssAvBGXyI5SF+K0gTmOWjITMX6CGkQ3NzeXEd7CwkIu\n8hot2zw2GOprcnJYriVy5GhvVgYQ29AXiCI5xKq0ZWAihtQlA8SpqsO1YWqtdESMUd0Muci45sBR\n9PKgwE2N+JUPRYxympw8lkU+l6NDDXsvvQmgbsi7UpXuT4UrogJ6HIFbVcPeSwTkudCqDIHIlbGq\nzkVEjrI8ODjInC8DbG5R7J4Vc1Kb1QBH1aGhTFHTIhTvj92IiBQhia7lq71P7WVQNSx1zkRuNa8p\njXNycpIsFnGjw5OMKybF99YUFqGatV73iHua5yqoqiLByj5woFgHe7umg0T2wKK1Vhsf1fJSe53G\nISKSUcHEGWspREAO2AFkqpMFeq2rlZWVFHyKFivg8z3sQP2uOj7eRwrTOgNigEPzDQRV8bFqE4CD\nPsLc2wP7+/t5sBVxsXUjQr5ZZlo1L/YrPY01jw0VvNS21oAqe0WcalyBkSpArrajMhO9Xi/W1tbS\n8V9cDE/RZM+N+037j421nirLOz8/n5USnqvqwnx2yA5/c9/0nb7eCgAgF1uNPoeOpiKgYmhOTk7S\nEVT6R3Rh0YokXr9+HRsbG+kgLCY0IANbFbs3O5cxWtWJMdo2SC3d6ff72fBGm035MajVM8p/yhcy\nRBb17OxsphhsUMaI0+RsbT5MSFVLR0Q+J2PPeDHk8pY6mqHuOBcRtt+HvmuZm3xkxIi61omRs0aD\nMs4MkbFD51endDNaryrrquavXRpt+Cq4qiJAzXOst6q1YCirszdPqFROOCLSkHHwjHltgFNpXmu3\n0r/uxZH6OychwuNw5E2dildz5GhiY1bzziJ0ESaDbW44IY5oZWUlXr16lesYNc6xiPaAO5fvkC6a\nmhr2OdAPggjy9evXsbe3l3Q0NkwUX1NXnpnALiIS0FQGzJoE3qv41bHaExMTecYCoOTiqIH3iMgI\n9urqKu7duxcffPBBOk92q9VqjZ1JAjy5JzBSwSJGg1Ou1Ho9nGliYiJevXqV7CUQoEwUNS7tAnRE\nxBhIsOeISa1t+xazxJ5Q/tu3VUNjHbBldS0LEIBDdtz8SwPSSNR9AnQPBoNk1/iAWq3BxkxMTKQo\nU9R/fHycgBT4Ojw8jFu3Wm88CHgrAABKLiLGukVxfjYcQxIx6h5YxT9oZFF1t9vNjV5VqM1mM/b2\n9nJTK/EjzBFZMLh65otQIEoLtNVqpfiPsQJA1LBq8mFjo+0BiJo+aDab0ev1YmdnZ4wdqOWLfj8i\nsp8BgFARP0o/IpImFNkY17ppI0ZMhfGzGWuUXh2ESAPDwAEuLCxkH3n11xWRU68zFoCOdYDCE3VU\n5X8VtaGVb0ZBFe3v7u5mL3vaA4aeoQOGamR5MwIW1TGM5pWBkaZpNEan88k5VoACOElLYFaIv+q7\nAocaEYm8sCzmUWUAh+x3OX7ra3l5OUE0h4dqRu+a5xqlMvzWguN1OTcA2TsC1H4mnz07OxsrKyt5\nLLGzO/Q6oDaXp6/RsTnxPhgN72vv3759O7UStXrFmrV36/oG2qSlKiNindXUy9zcXOzu7mZ0urq6\nGs+fP8+10u1285CsiKHzOT09Tdqao+es2YMaIGAZPZO8eT1fQVkcMR/QzzHWNI50hj2ADcFmYE0i\nhoyj9Ii8O9uh5wpd1q1bt7J2HwuwsLAQR0dHY82U7Lla0TMzMxMHBwdjrZatFeLw6gNoV6QggLsa\nJNrH3t2fsSUfBgFgxFsCAOS2KPUXFxdTGMRAMKC6SskRUTBzcuhjatW5ubncMJeXl2lsqohHhKQM\nUAQYEckoRMSYAKeCAIIfucHHjx/H+++/n4YD+KgUL+MoYvIOTqubnZ1NJbeF2+12MwdYS7w40LrJ\nbBDqeM9Rn4lBOzs7SyNlDGpPAcyMyJORsVkJBzksNLhSHVoIynsR5c2oTH5V5F9FboyX50blu8x/\npc6NES0HYZhWr7XtMafGSYiepA/m5uayNh1oMRacSUQk4OPYRSirq6sJmmqJ1vX1da4bRlokHxH5\n/CJ2YwREKkmrSmmpFzoPOf8qwhMZWiu7u7uxvLwcq6ur2UbZOIp2pcwYUM6BgecAMEX0PGht2o6L\ni4sUoWFpWq1WllBqs22+pMqAMmwAdqMKujBnOsIZR4p9c2q/mX95e+kFIFpao4Lu+fn5WF9fzyhc\nOuTk5CRarVbqkNrtdto1+h/aJeK4qs8B9IBJ7AMtEFC0vb2dYtPT09PsEuq+tVy1ilbtpcpWOaa8\nBhqCMc+6vb2dGgQA5OjoKNc+wLq3t5fAEVAAiNnNmj6qegfO3zg4/REDa8/bH2wzm2dPVBvNtglC\n2Ae+YPAh6Ab8VvQBODk5iePj47hz5042EbGpe71eNr+p5SiiftRudRZQo8je5IssquK2Rr8M3U2E\nWKlaPQMgeKfnra6uJkKmnBVBaNYhshRVQLQRkQLD2dnZWF1djYjICMvGFBWIPE9PT+P+/ftJ+zEY\nNSeOOr9//348f/486b3V1dUcm0pB9/v97ATGuXh2hlDvb1Sd96m0/OzsbJ5g6HMcjlKhu3fvpkit\n2WzG8fFxUrHOBPAM3pt2QWQvj658SV5Qhz7rC0AxricnJ9FsNrMLpTEHMBg3BobzvLwcHshz+/bt\nODg4yOeemZmJhw8fxsuXL/M76Uo4D2NlTgnJIkbgEoPVbDYzLWaNApIaGFVDB5SIAjkh4IWzrOyL\n9Vf1AOhqe6nVauU9GG5r0bqUVpBrF9GK7kSK3tNeBHztfxE8cGOs7JVmsxlra2upuK/CNPS4cfIc\n1gKhnT2kwuPo6CgBWBXMsQn2SxUKiuTtLQ7WXHJa1uvk5KhlsT0EAGI1PT/nb6yML6fe6w1L7mr7\n75rGQavXtChWrIqo7fNbt25Fp9NJdgg4fPz4cbz77rvJ6AF16+vruY/955jgmhJkMzGoEZF2wGf9\nvaZ4vaN5UmIKaDWbzQyKKkCzR9H+gAybDlhZi7dv347FxeWYmHiz+wC8FQDgV3/1V1PoUZXxFdFa\noCg8iLrZbCa1HjE6Nc1C8n+KZRvj/v37aYgvLi6i3W6Pie0sQFEEoyb6WFtbS+DRbrdjf38/82Ii\nL+IWDjFiVGbIAHkeBpLhZgxtcnqHqh4+OTmJbrebpYM2PKV8pT7feeed+MpXvpJUPVpPxAxAyDfu\n7e0l2zAYDLK8yee1XmZwGeOIITJ3pHD9OaPtgJLBYBB7e3sZBXKyfqfX62WkU1X0nqFSuBxqFYNW\n+plB1+QGla8xC8Nr7muDFOvJO0ofMD6e6+HDh/H06dPMZYomMQoYg0ppRkQaptnZ2VhaWsr0FTAn\n1ytSW1xcjHa7nY7d/KkI8Gyap9gbGAJjUQVrEaPyOuKvWsZp/+zs7MTa2lqmmlC10nUcFZ0A7Qgw\nLifuPdDQVbBGY1MV6JzNvXv34itf+crYWuBorT1Rqci53x/W/RuHWv3CBriH/WJtuwDf1dXVjISB\nFHunViutrq7GzMzwYKUquBORS3eZY+myWpLKEUoTADv0O9gLjk5qogJuqYF+vx9ra2sJXrCGhLKe\nT3ro0aNH8bWvfS1arVbOm+i9tngmBBWEoP6lnmplztTUVKytrWVAZw/X6q/19fW0n4CEdevZzRV7\nxeayEbVnAQYJw1lPqvxuJ8A35Hr69OkYPc3pWXAMr9xQzS/q/CWXVaOrKoqreVyblYMYDAZZksUw\nQNGMrMhlenp6TL0O9TabzVTpE7BFRCJQ72PjMtwU3zWfbREzMu7Jacjtyy0/fPgwUbToP2J0/vb0\n9HQ8ePAgm7GgBn0eDS8aU3lwE5xwpo8ePcocMDaGkTNunK7o3PdympUyFsFB9gsLC2mkzRXWxnte\nXV3l/6UyGGTPgOJVMWFtGBP3qFUQUioEeCKmytpYl7qrcf5LS0vx3nvvJT29srKS0XsFKNa5OZeS\n8K4cqOfgNI3/1dVVHB4eJiXvXgCr37WeMBeV/gW4GcO6DqSrzCMAaj7Q6/X+fs+9amrEn6nZibK8\nCzq+1+vF+vp6Og/zx3lcXV3F5uZmfPWrXx1LCdnbleLm/FTpWM/of+Og0oGdocMQpdpPtEbSklVE\nWQWem5ubWYGCcVhaWsr20VUkyVGxfRwm5+rexnlhYSHW19fHShiN5fn5edy9ezebOWEzrA10uN+t\njXB00xMd37p1K+7evRtPnjzJuTDHvV4vmc12u52HVplfZaDWIeYDIOn1etnXRJWSeVhaWoqDg4MY\nDAZ5oJLGPQAA4Mem36w+sVcBRmuhggI2p93+bifAN+JiECE5KNTCIWbhRIk6lEGpuSe6QjsRUukA\nyHhx6nKO/qvRML2AKFz+HlhgvD0XmplBU9bIwfucxctIW5SMjvtz3hXYEM4wjiKPZ8+epdPHclxf\nj47plAdFCbsHA0NgVJt5mBOOlAhtMBg2Oarqe87Re3nfGiHJ91eAUhvkMD7KkOTE5RCvrq6ypIrj\nqKkbG9kzXV5eprGnVwDQer1eMg6cnly/qLxSnIw0elGEw6lOT0/H1772tbh//36uC3Mn4qjiTJEJ\noDA9PTzEpdY3GydOemZmJtmLmu88PDxMZ6BHe13P1jSABUz0+/1kC6wxWpPf9tt+Wzx9+jT1Dqen\np2PgUgMs4kGsRgURxpGyXVqFo7Feqvis3+/HkydP0tlXoVtNC2J+XN7r8vIyNSTsQKWJRebsCfti\nr0iNmN9asYMl4CyBORE4m6RToP4hInb/eTapicvLy2RaKsjA9tnPmm49f/4855ozNga1VBAA95z2\niLTl1NRUNjbz7wAIpgQocU6CaHx/fz+F0bRBQLo9xtZZ40ASXZL1C5TV9FpNbQDoVewK7N1MbUSM\njonm6Cvovboant65uLj4ddHr/4vX+vZcbwUAoHatTrLX66UwhBGOiDFnSVwiqmcsqjO1UThmixEi\nZJgiRi1Za1lZLe+pit2FhYXY3d3NzmkiIgIiDpqjhLg5OpGXtAGGoZbCuRdFvFzg4uLi18tYhr3M\nie6IW0QP1WhGjMp+ao5T057JyWE1w/7+fjoZ96dhwHyIUnTtooCWwxY19vv9nMMaNdbz2pXjLSws\nZE99cwOUoAKBA8/B2drkogzfXQWGnMHm5mZsbW2lMVtfX896YZRsTQH5nqqRsGY4cWs3YkijT09P\nx97eXmoUPIc1i8IUzehWhtGSC645Z46qOjVRs/Xs/VHF1ZCj6+tnlKZyDv3+sB/H/v5+viuHaJ1Y\nQ1WlXmnqqjHg1K1lTrXOpc9IvzHggBHHSzAYMTr3gc6mVgjoJXJ9PWyfvLi4mKW1q6urGb2zFZgQ\nzaGMQ8Qocja/NA7sjf4f5o1DtoaI2wBboMC6IrStaQ7vyU5JQyn7tL8iRgLlWiEjR6/SoJbRmgMa\nCutGBYojeQUMgCqR3ezsbAZcymutU2wpRgUgry3Ub+7jbrc7VoIo3SiV4l5s4GAwyHRCZYilyI6P\nj1M0K89vjUpTANHDMXzzEcBbAQBEUbUESRRYc8gRo5P5lpeXxxarchM95Imv0GM1jyqiF40AGCgm\nAjObeHZ22IN+dnY2tra24vXr11kKVil8xioisiMbup6hlguttKwNZGMwCHXjqHmGoms7Vk7FRtc1\nTpSERuQ8RTI1io2IFGUxQt6dU6pR0c3UDNr4Zr27sRfpY0/W1tYyCidqOzg4yIip0WjkGQoAhXHC\n7qiWcJJjBX3Gut1uR8So7Win00lnNRgM0tlFRBoG2ohasmedAnBK8jhQ9Lf16H11auSMzQ1mqYru\njJkx0La4iqZctR1x7UEBsNxUwFcxFLBknDgXNCrh5enpaczMzKTT5Kx8jyiTI6spCOOr+oATXV0d\nHsG6tbWVY6BDG20LhiMiUmtjbu2tm6k981Pz+VNTU+nc6CrQwbUfCJ0AYAzMVfAPiN0EodKGHDHb\ng80xZlVTJLjwO/ZJxChtNzMzk5346mcrI8LG2OtSbTUKrx0E2YdaGSL4ENjQ7kQMAcDR0VGsr6/n\nPmf7sJ6zs7PJDHLSgjRME5DI9mjWNjU1FTs7OxERqdMgnK2HE2EEpDGsJYyJ9RUxOicC40N7ZDwE\nY8O98eaXAbwVAKBGxUrb9vf3s56V+pjTQ5FyCBwa1F8pLQCAUYAabSoGyr9VgRlwcHV1Ffv7+4nM\nbbC5ubnsL88Ri6blx2tEzCDbsL6r3+8nOiU0FNXMzc2lUEqDlpWVlbHImSFE4WNBfKcNbeOrk2Wg\noXSRHrB0fT3quy2vt7i4mDX9/h2YMJ5VNAfxy80xktvb2xER2QrVpiUUZEg4UIbQVZ2KuaVXYCz6\n/X6WTkaMOogNBoPsbe+z1bgDIJyJtSZqr+kYQM7lOWsKpjIR2CZCO5F7VU3fzMV7FmCAk63pmuvr\n6zR01jTHw0FaF6IzRrnf78fLly/TsdYOkRwpB2lNVDW3Q5c0X/H8IuKqxZHCs2fm5ubi8PAwx7nf\n72eXO+v1JpVbgwPjVXUawKoqF+/RbrczJVNFp2wLqnlvby8iRicZVrsD/LBL1sjNcjfzaayNA/ag\nsnvmxn6ScuHksAH2E7AG0ESMgKX3l6fvdruZtrCGzY8I254EloDmiYmJ2NjYyIZGlV20JirbcVNX\nwdbVihrlf54Bi1B7D7DvxhbLoFzTuFjrVSwKjGGHzs/Ps0+BYOb4+Dju3r37G3VX39brrQAAnEoV\nhiwvL4+psUXaNQdLlY7aVCYiclHeYzPaDBFDZ7CxsZEnxwENl5eXSTOJPi2uiYmJNFYoNRsQ4rQ5\nq4LbIq7105VGjRjlrhlr0Yh35vxExsQ8emnL9cnx2ay11vjq6ipFOhwuQ8noq1lvNBrRbDbzO66u\nrjJiA9gqrVyj5eo0lWqiEmtplzwkxzQ3N5fRIHBijKqhEr0CFxw/w1qNuQjTASy6hPnOqiB2KAzn\nhV40l0SIwJo5BFoihrqGVquVTpJDsQ7a7XYCOg7YvFfwsLS0lK1pHffMyBKJKoGstGmd2+np4Qly\nR0dHCaRuigVdAFxVqYvKdXBsNpt5zHBtuIQaBxAq1Wvd2mOe9fr6OstcAVLRr3VKGyGKrkJcztk6\ncmG77EMlmhg91Qfmmfi1VuFw0jXVEBHprDEEHL0xq11FG41hvwXlpdJISmAJ0YCIiEinzdHVPVnF\njhgA3725uZkaFsxDfXZrSkDgXlg86xBjxUZWm8UmKYs1DgTF5hYos9fZJd/juPRaMTE1NexH4NyO\nnZ2dTJkAip1OJwFyFf5WDZd39O6CAzqDiCHAePToUdrZN/16K6oAvvzlL2f0r/QPFQSpj/I2kfkt\n0Ri6lCMUyYigGaSPfOQjuQlQ0fQGESMBHVAhlyRaxzSIyCw8m91mi4ikMS3IipBrP3ZGjCofPRYR\nibJRuD7Hyb7zzjsZLVQaVSTGIU5NTcXDhw/jgw8+SINpkzBWc3NzKaqUIjk/P49utxvNZjMePHgQ\nEaPuYCJMm7xufhue06v07eXl8EjO2sRoamoqQQ7NgH/3DsbWfSNGR0GL6hg3a4XB1daYscFIRETO\niXGtOU3gAJhQUoVCr9qBiIgHDx7EkydPot1up7BJUxsA1r0ryABsFhcXE6BwEBsbGzm+wE1EJPDg\ncDltRhDbgpUBpomjlHGi+OkkAEJjWevf5bP92VgSldUxixjpW6yXiPGWyoPBIIE+h4Za1gcBjYxJ\nefDgQbz77ru5PjjDWqUhGq40Mcbid/yO3xFHR0f5zkRpt2/fjjt37sT+/n6yYtbYYDA6RreyYgTG\n9iVbcH09PNlQ8yF72zpaXl5OMFlFqjVCrywHUF8FifXMidnZUZvwmtKJGB3OY6/bM73esJ/AnTt3\nUmOgp0lExKNHj5J6F4hUISimB1voudkI7yL9VwWVNeq33jCPwGTVPGFDfLcxOz8/T/9gDQI9+mKY\nM8+hP8iQuRyVI34nru9WAXz9mpiYSAHY1tZWIr5msznWXczBQBGRm5p4hZjFhhfBnJycxNraWlxd\nXSW19+DBg3jx4kXmtzhF+TN5OYYVUu52u+nYa0phMBjE6upqRrfVOXq/muelHIbyLW7UmQgBLXZw\ncJAlMaoYzs/P40tf+lI8ePAg0b8IomoRPFNEZDqAYZ6YGPUX2N/fH6vHpepl9Lvdbm4WKQpahErL\ncTIU8J7XPGJiau380dHRWC6eM5Z7N+eMTi1n8m7+3Gg04t69e/Hs2bM0hM4v7/V6Y6fzMUg19cOI\nirTQjJW2rA5WTpnDaDQa8erVqwQcAJYyNPdpNpv5HqKVg4OD7FJ5fX2dRx/7vtrbQJ055XsVlYqo\nlQhiBNDTQLD/0MooaQC8ag9qpUXN915fXyddLwqUT0ZnAzl+f2JiIlZWVrKahCbGugHc6DoiItd+\nRKROA00cMX6g09bWVr6jdSF986UvfSkdBVGjVMvW1lb+W1177IMy0v39/QxACM/sh4WFhdjc3Ixf\n+qVfina7nTl7a7rqKezP6elRkyKReQWhNXW4tLQUR0dH0el0Ym1tLQ+FquyK1JmUhDkBTqzzbrc7\nxsIIRjzb9vZ2PHjwIN9VNI8JxMQSQdp/1inw4n7WMf0F0Os8jVu3bmXJZhWmOlabTsjzSG2cn5/H\n4eFh+gJdO3u9UVfDhYWFbNd++/btaDab/3dO6jt0vRUMwPPnz/PsaWfdV6reRqi0kk0DOXOqHN7B\nwUEcHh7G3Nxc3LlzJwWGEcNc5YMHD2IwGKSRtSDlTd1frTglPjAgT1UPUXE/kWE9cxxa1paYsatC\nQBuWU4gYRagAhQ1HHOg/KF7ExrBiSe7evRs7Ozspwpmfn4/V1dWsKJienk4xGUdho0WMRDrKjsyL\n/C8QJ+/OEAEa2Jiq4KfZYMRXVlZia2srnb8xBLYiIiPTycnJ3OyiBUY7ItJBLS4uxvb2dkxOTqb4\npwrLOMt2u51rTrTOwQEAxKFVZ2G9Xl5exkc+8pEEE5eXl9mMhtH1fVXcaizlhOU20aI0LPaAeQFu\nraFms5lpDoa11+uNnbzo/yLKVquVYswq2DMm5qXmbaWvzHej0Rg7EAagFdVjgzwXyrs2JCIyrRU9\nUnhU91iAzc3N2NnZyWe2D+u6WFpaGqPj3dPJc1Uoe3P/SfnVlAyWUHOmiMj3RNFHDCn8/f39TEFW\ngKmldkSMMZd1bjCdPmf/eGbakxqFA8IAv/kT/bKb0iii9JvpIgEHsLS5uRnvv/9+dDqd3Fuejf0x\nFtiVyjDY/0AaJ+4AKcGOZ5qens5qGHa3dnEVnNT51O8AaAG0MJgRoy6uPmM++/1+NJvteNM7Ab4V\nDACkyGBy8qj96vSrUa7GKmJYvy/n5sCfFy9eJAXK0KKcRDgcnU3mOxgUqFx5HrEVI9lqtTKqRX1V\nUGDjcmZoRDQYg+P7/b62r54R3QXMaNMqr0lM6KoGNyJSwMMI7O/vZ04dHY2WJVii+EXb1bGx4Wzk\nWr9r7FDPxoYxMvZo5vn5+djZ2UnmBjVsg1d1d8356TZIkzAYDDKqqQd/oMPv3LmT9DonhWGq0Zao\ntX4XEFbzztWpRkS8evUq3819RL7AqqoFPwM2MFrmmyYhIjJlAqzMzs6mglo77Kurq4yg8pzTAAAg\nAElEQVQQ62FKEaNSW0bU4VZ1rlQB1Bwt4CFqqwdOobWNpz1kTwOnNCZAOpYM2EUf6/VAHKncTJtt\na5u9qAAeA3BTN9NoNLK5zNOnTxP8sgnmpmpZAEoXYABYzMzMRKvVGttrk5Oj7oURo2O8zY00FScU\nMWIG/X4Vxlk79ldlj5SuXl9fJ7uFefPeRH0AmHUHcFnHNd1G9wM8SaNx2P1+P0v1qv7G/FUKXyBC\nmEwzBbASVGJtdba0Vq1xzaPYDu8CqOmAaX9FjBjDan/tMYwn0PmmX28FAJiamkp6HpKXu7QIOBaO\nSctUm/Dq6ipWVlYSmf+fKgUiRr3IDw8P0zhGjPL/jNlgMMj8N2W+E7A4HlEQA8QBzs/Px8HBQUaK\nKhKOj4/HjKGFi2Ll4BhhnbEiRrRnp9NJim19fT1evHiRRgAtZpNXvUBEjG104+k5GCOGUCqh0Whk\nmd7FxUWidPljG7DSw6KLRqOR1C26uQIu46KaQXR5eXmZB7cMBqNTHyuFaGzVeFcVNf0GDYnPKBs0\n3w41QUEbf79fFfU3IzoRR20KVecSzS2fXysg5FmroWJMq+YBCCDqrF3VAJ7JycnY39/Pz6DjgZQq\nNKwAE/iR0mK819bWYmtrK5kNzrjqGOw75V8MMqNuHGs6rCrHiRCBEsyHeXE/jZ+Ug1aGx1hV4Shb\nUDUF3leKcWVlJfb29uLs7CzW19fHwDVQj+WSHuHMOHHjQIVP62I9Wvf9fj/29vYSLNVUiHWDdQI8\njTN2x/0rSAQkpIWwGfaAVACgbu9XAGKNYTiBS8Jpz0JojX0lAlTVgJGoGg97xbOxGfL9Vb0PjAH6\nggrlhoPBINcgYF3turVsLdkf1j+2bWJiIvuZvH79eqwd8Zt8vRUAIGJ0LC7jEBGZY2WcLTYinooa\nK01PdS4n7bAXDq3SfFVgJAKwwGtTj16vl0pSi474zwZoNBr5PUQ+DEKj0UgDwhCKUqF1ke7NDnlV\nyd9qtdKg6ApWu5RFRNJnoulKW3qOqtb3756lGis0cj0bXGohIsaEjMaPoQaMIiIpPs6mHvs8MTGs\nrsDs1IjQc9d38Nw1Imf8MDWYFR3LNAbxOXO0tLSU83B6eprPyCBzXpgPOcequkeJRgyj8b29vVhc\nXMxc9OTkZNLkNZ+uORJhHEOowsH3oZAPDw9/DRtyfX2dwkFR4E2FcwVFdBsapriHdUyLcRPg1Py8\n9akaw5ph/M1br9dLpuOm5kIU1m63s8lMxPh59RGjqA7b58/Gn0NkL7BV3W43xcIRkeDg8PAw/1zz\n8bp3VsEirQCWoqbu6BGA7VqlIB/ebDazQgTIBGxrgIKZEdzYe9qLK89jI52fcXFxkYp5kTIg7j2c\nEyD9VjUsKkOkW5QcsyO1DK/ZbGaXQ6mPCrwnJiYSSFT9DlshZVcBqb0MhNHF1FSQQAw4YxPZV/bI\nPGKGBD30NIPBsIOpvTwYDGJ9/Rt5pDfjeisAAISJgl1dXY3t7e2xPDKaMiKSjhZNyd2LvCYnJ1O0\n5nQ1pVAQdqXcGCfovKr+LSxdpSxsJVGMI/1Bp9PJe2IJOA+O38bhrG6W7nGcFrz3dUiPTQlJr66u\nprOuOeLaJjZipM7FrNS8slpZG/js7CzW1tai0+nE7OxsHBwc5KlqhFBoegY/IsYcMfAClcufiwYx\nAiIRefqIEe1Km4CB4TwJj4jMrIuqpSAOFWlJM+3t7eXaqboKc9Xtdsc0JtZoNWrobGuIwel0Opl6\nYIw54Fp7DqRGjE594xiBXSmBycnJdByatXAcQB763TtzHIy/dW3s/Nn69izVUYsKG41RA5bqSAaD\nQXaktP6qQhvI7fV6GWET1VbRWxXlidhR6Ma+MmY1SKiVJIC2CH1qaiqazWYKwoAIZaF7e3sxMTHs\nQDc8HW5YjozJwEx5HmuV0t5c2ssib++j18POzk6m/+r4G2c2C9gTvdOuWN+OmI6IFEq6Z2XxalrP\nnrO2AEggC8DDZAIdEaNAYnl5OZ49ezami5IqABJojqquxWFlhLXn5+epp8F0VrBkvFUfYXiqpsEe\ndhjayclJ7v2ISCCMyQNWXN6/1WrFh4AAeDtEgFtbW+nwIiKFLdAzla3FHhG/pn6YYExOXFTVarXi\ngw8+yFwnQ4gmvNmpzeaBzmtqICLyu+SutEiNiBRFYRhWV1fH8uV+5t4Ro7amUDDH53spXTlaQjbP\nubKykoiZ0+j1hifBofkajUY8evQonjx5kobWZqp5+fPz8xSFUThjHmwczqTSjTXXXyN07w5I+b7B\nYJBNWdB9aFZOZzAYpCARykfp1fmrdDxqE/WOTvT9KHO9B0QmnhlYYHQXFhbSUUsFRESuFcrlbrcb\ns7Oz8fDhw+h0OmN0vmflPDABInFMTaXAObrKPlR9QF1LnPPCwkIa1Fql4LM3KXLr2f05Z6JF/ycu\nJILEskkFoMurRsLz3+yYV0/AMyaAn7mmA7C/zbdI/yMf+UiWAZoHoKGOB1BSqXDsISdn7SrXswex\nZpVqxjpU8ZrGNlJNQIgeDpV21zvhpljVuNeSWXZndnY2G2WZP+Mm8HG/Cn7k2SnyARJ7BEsqdVI1\nGezTw4cPk2FUogf4KReWxsEY1RQacArER0QCRMLhChKvroaHC0kd1FQSsMtHVPbWnnQvQuSLi4us\n6MLo2gdA0eJi67siwDfhsnggagaEUxFpo/Y4opu1t6IYhr7X68Xe3l72+O71RkfgEidZ1L6TA6ji\nNUakOgD5/2azmUZetMs41DwVI0hpW2tjGRQUon8nktLjwJ8hc8IgETuHj+1gJKtCuDp+4y4/Pzc3\nFy9fvozZ2eEBQURPVWUsjw6g1I3vWQCKW7duZfkfxS5j//z58xQ5EXsxWJXtmZ+fT8NXxVmiGL9j\nXtVdo/bliHd2dpKidPqclEVEpDNjbBnZ6gRoT46OjlJj4Z1EpHLj19fXGS1ZH71eL38uYpRbRnHS\neohu6smIIhf0uZwtZTWAXHO0lVXws8nJYd20SJ3hdz/NjICIi4vh+ROcjv0HtN1kEawX74SiNj+O\n3r68vIyXL1+OdcnzX78/rCZ58OBBnJ2dpQ1w+V7OFID1M+uGA7q+vo7Dw8Oxtcupi6QBrZWVlWSv\nanUBAAZwV8Eep0dctra2NtaXQptee5yjte8JMu0jbKY/t9vtODg4yKoAe8wYEClKWSiLixhVQgiO\n+v3RSZ4V0Negh70w7qenp6kFkgZyEiFKHiPp3aw9tL7PAp81dYa149SrVqKWKAp0aBNoNNrtdgwG\ng2SaBCjSPNYFRqeCsDf5eisYgOfPn2dOx8K1IF2cDYOrox2qrzb/ELHUY0CbzWa02+2xnukMk8WF\nziWm4xjl2al6IUvoOCJSGFejB0bMgowYOeFK7VEVR0TSlRMTEymgq8amIn8OSO5LeVVNO0QM82Cb\nm5txcHCQAqOaLpEbh77dS1Q6MzOTlQEu0akeAJiKm12+qsgImOt2u2mser1hNcPJyUncuXMntRAi\nUOALVU/JbN4BAIackI0hBuQYs4hI1kGKRpXA8fFxAiEAoRqrXq+Xdci6JA4Gg1RGb25ujp3/zlFH\nRNbkR0SWeZp/Uado1PwTwGJB5JKlAKRLrE+RO8aEWJUjXFhYSGBszcvForSltrA5hF4ATK/Xy5ST\nucXuGG+6DNUdomJrDrvkuSo9j50BWAaD0QlyU1NTcf/+/azXB8Klz4wlnYt1DFwABd6fxofz9PvS\nGD4LQAFsxtC+q/uRw1tfX4/9/f0Manye2NVnsTW+AyO5sbGRQNw+lp6ojFhNb1xfX0en00nAAzzU\nihTCSHPHxgpUrq6GZdTKAAFztD124datW9lfxTzVigY6mqrREXxgNldWVtKRW0/0KNYN9hfI5hes\nl5qiw8oCw2wwQL+6upriv2G67LsMwBtxWVQWH/THsDFqBFOcTi1JqipteWEOFHWkxEg+//T0NFF1\nRCT1z+BW1E+0dXl5mXRdvz86xWwwGMT29nZ87GMfiydPnkREpIpZFIq9QLkxwN7PRubwMRba79rA\nELBIz3ihGauqXrQWEWObjaF2JCwqttEYnk5n7MzDy5cvo91up4OOiNQOoOcY4VarNdZKlnHijFdW\nVhKkVKHU/v5+3L17N/PKHDJGZXp6OvPvVdyoTMg4EEYxpko+GXbgpqYkgDp1xCh2Y+f5AR/rZXp6\nePKff9vd3c0mOsCDI04BKhE9oMigiVgIFtfX12Nra2ss9eX57t+/n8/rd0XYNQ3WarWS5o+Iscin\n0qlra2uZt8XCAJf2h3tsb28ne1bPwDBG3pHzZsxvtlrG/PjeRqORIPDs7CyFad6nagAAv9PT0+h2\nu3lao3VZn7nVamWELT8skgcmsXecKmalRvWcSi1rtdZqCXO1D8bH3CpvnJiYSBHo0tJSMiTWkT1e\nU2zSJEDi5eVlrK+vx97e3ljwc319HXfv3k125/LyMhkdgYQ5Y4vsJ2wle2GdYzTYVnPhPaQ9Ae26\n3mrVjjk6PDzMyiXjL0jwPLRV5qgC43qvmwwIe3FwcJApFoHbs2fP4t69e1+38d+ig/oOXm8FA/De\ne+9lrtXisxFE4RynBWeifeb8/Dy7h8lTHR0dZd98n8EMiGogatFYzQ1XnQFHwSmgBxlmC9hZ2RB1\nxDACl4MSTTOwHIH7o+zdz5jMzc0lw6COnDL/9PQ0Dg8PE9lyCGjiiIj79+/H9vZ2ghaAotbszs7O\nxu7ubhpJlzE9OzuLe/fuJRiKiIy+gSc54cPDw6S/IyJFP+12O46Pj9Mh0hEwGIyifKGfi5oYAaAM\nYFtZWYm1tbWMAP17TWVgIIAAIMQcisTqvzMydS6AG0ZKKd3jx49TvOp3qgNj2KSdKpASGU1MTGSX\nu16vF2tra2OReDXYnAFKtt/vx8bGRjSbzRx/64kjqFG4Uk7KeEDEGGARjo6OotVqJR1LFV7TYpyj\n9e4ZsTRHR0epU1BNc309OliIfsO6WFpaSsqZtqff78c777wTz549G3MIUl32XNUFVQ2PPW7cjRkV\nvvSjtYWB8h32jGdpNBp5rgCq3GedO+/P/X4/ge9N4Sw2gHKfPbA2XOxDbStMsAooSNuIhpvNZu5R\n6TdrYnFxMYGyKDtiKHBeX1+PZ8+ejeX0Cf0iIsFmVd0D5mwkyl+0XjUx1lnN5dtbWA+ghw1eXFxM\nnQBmt/YJsR+np4ctu+X6ASeASWC2vLyae/87cX2XAfj6xSkoxbHJ0L8RkX+HtCF2mwJIWFpaSoP4\n/PnzMbSIMkR7RsSv2VCMhEu0YtEy6OhXzmp5eTmOj4+j2WymgbDAHeriflWcU5+9GgzvaUNdXg5P\n/6Jr4Ghdvr8aYsa+5tn8rAqjpARev34dDx8+jIODg+h2uwkw0IbuZ6xqRMvQMwZUz/LQGAYMAqcM\nWNSIotlsZpMidCthKANdARtdxM7OThoqRk3pm7mqBkklBBobk8QgV7FRBTP1XId+v58VBhGj46ql\nke7cuRNPnjwZy4+LTm9GzvUe/o2Td4iKtWCel5eXszJkMBiddujd3cN65dyOjo6SraAzkCLY2dlJ\n4Z1WsyLb169fp9Cwps5qhOfZpPVElrUSAOihXeFo7C1A3ToS9VsjvsN6xFTZj0BzRGR5n3lVGqqf\nPrpaW+vaChxIBXxq6okjbzQacf/+/RQvmjtNqjAC1iQdUE2bAOwRMcZSWDfSVu61srISvV4v2TpV\nT9IhmgUpYawgKyISFLq8Fw0R+7GxsRGDwSB7MehrIJCoKSd6IutOUAB8YL7m5ubycB/p2qqNqGxe\nt9uNlZWVTNViB2mk7MMKYKxD/TYABXtLMDLxIagCeCsAAAMPYRJzMIom9+LiYqxBTFVbi6AsPgbg\nnXfeSQeGgnYPaFmkU3OtNqVoJiLGaMzl5eWIiBSlEMdVcUzVKYgI3NuGFKUwjpiCW7duxZ07d+L9\n99/PdwJcGDEgiNOSx+Soag49YtTDn+GskS5mQXc5aN7mpAHY2dnJ8aQ+dw95RWNXoxdGDaDyXHLO\nNepFz9d38TNzjuXgvAGuqhSWx9UlsQqj3LNGjubS2AEvPitC43xqFOo5rV/VFMaT89KUyHc66Q+9\nyqhVgVnEELy0Wq18ByI1+fDp6enY3NyMTqeTgK9GZzU64ghuNmPCSBlLjJk0kfRDZa+Mcx1T4NWa\nBnA5gIhIIRpALJpdWVlJwIUCBlBE7tZwFbi6p8NvlJJVkKW00LsA7gSqdW0ANhx9tQ9Sev5tbW0t\nDg4OxvQ/fi54EKHLlUvlSQEsLi6OpUJreuKmQJl9nJqainv37uXzcbZE0EDH8vJy/hvti/vZk3XN\nWXftdjufpdvtRrvdzuOBXebU8wLU3tv3AGkYXfYAgKAbOjw8jLW1tWQiNQEyfphZIlm2v9romroU\nLDo98/DwMFqt1tf3drzx11sBAGr7Scax9oyuFByjzDFzhsRl6Peb6nB5dPkwTgPqrrn3Sv1X9Tlw\ngDZjkERGNlgVYWEtqjCv5voYW/So6+LiIt59993MkaFCz87O8gSvyiD0er2x3LP7i2YiRkK06lSN\nw2AwyGNrAbFGo5F5f5EQYZpNibmBsm28Ck5E/uaEBsOY+XsVLKloIA4CHKReUJFVPc9wyU8Tje3s\n7IxpMQADRgf1XZuGiLRr2aSx9h5qsZUdGlvVKqKQxcXF7AFg/q0vv+c7rVGOGqglrvRZfRjMBS2C\nOa215sbPXHhH71LXujRIPa3RM8vRArI0O/aC56/7xjNbN9gLc2v+Li6G7Z85YSyP/S79FzHqFuqd\nOMYq+MIaLC8vx8TEsPzv/v37KeSsqZla2WB83bteHKbxdA/RMZraMxh7kXUVrNbceBXl1ShdlO3d\n7NOpqancw7u7u7GxsTGm7ZmYmMhAZWVlJftdsEP2hzEk7qOXMQeqJsyVVJfvt2dr9Y70i3G0d7wP\nx1/PFKhjgIFgt2lzXOyG8avljBx9TSObG5ooDeOGNusb+6U34XorAMDW1laWPjEK6NraCx+KtKE4\nBM5Z8xs02PT0dDx79myMitRRrUZ+jFzE6LhSxo1RYzAjRhSTTRQxOrpX3k1UZ2FHROaj6t9FOyjD\niKED00JWDoxCemlpKV68eBHtdjsjOlGoFIHxUeZWc5517Gzk+hlgC8PA6Ik60LZVjFPzpAwvw+w/\n0XOn00lWodFoxO7ubrRarXRkIgiOqpaUcUK1bAkdaF5qBDs3N5eUeL0P40xUamxQ9xGjA4Hcqyqb\nvav50q45IrJtdM3l00tI7SwsLKTTu76+zs5r0iMACWamit9qJz7CT4CiUuIRo9JGUZSfiw6BxIjI\nBkIoZU5XxM9oVwGblBnwLi1EXyHyF+FX5zEzM5MKdqd82nOaw4jeUd81HWitVurXM3pHzGLE6DTB\nhYWFsaZb1ixGBMiuFDkbIOXIwUjnSCHS5qytrWUpbv1dQEr0bk1x7KLtfr+fugeC1Jrzxuo4p+Pl\ny5c5j96b46ylemxUZTuurq5+Tb5eetFJfYTGV1fDsyYcQQ5weFaXPcMms7UA/sLCQq43wEcAhIkE\nDKveR1AiyHKwGts8GAzbBhMUDwbDCh1BA8CAyars0Zt6vRUAQNTDQFX1LOU6wygK0DTEYq0qUsb/\ny1/+cm7SiYmJbD6Ddqz5IBuYwRH5iZZEYnLWjPbExETSShGRHapqntZmIGqrhkxdtzavDMX09LAe\nHG1lPAADzouYMWLU6nd+fj6jiWroRRO1dKk6IoCnqvq9B1bA5qvvZaw436oArgyOuWFcRaSU71gd\nqRoOTgkmI8IQ3qRGNdhxNDNANDk5mX0BFhcXY29vL79bGggdSWAElBGJMiAMV8So3nwwGDY2si77\n/X6srq6mCNP6NT6AGDDI0dVOidVoeU+iLRSqDpfmH+UrGgMAfC+gV51Pzacbd4Dy+Pg4AdLV1VXq\nWzx7rzdshFWdlmeoOgfrTuQeMayQoeKfm5uL7e3tBLUiZ07MvGB4rKWaZgJ2Acujo6O4e/duMiME\nofaCqNYzcNJaIYu4a9rHZzikqikwz9aDVIGKk8qM2E9YJ/n9ycnJPKbWvZ0/AmTWvQTAYBWwhHoZ\nmJeapsL61IZiwBbwLdCJiCzldMbE1tZW9maoZ3ewGdZR3U9VP2GN1KBDkFNt/8HBQQpEtYpmi4x/\n1Q1VkF/1DoBKBeL253eyBPBbvd4KAEDgQUA1GAxSeBQxarLBuNhoVRCFdl9ZWYmlpaV4+vRpLCws\nxG//7b89FhcX4+XLlzExMZEOenJycqxbHkUw436zYVDVFdy/fz+ePHmSi3liYqg4ByA8T41QOUb/\neW592RkItCADyBDYuJySnCrq72Y+u4rA6jh6xouLi9wQnITv9Kx3796Ng4ODNGAMVhVpiiA45Urn\nVfAh8vg/0ZzOXQC8NjY2soSH0dUPAcipQKrmNweDQZaHAiLKBG/fvh2vXr3KbmRbW1v5DBxTRIx9\n103n6n1Rqoz61tZWfPzjH4+pqamkXKsq2hrHXAA3ShsZ6YhIQy7iZESBoyqsqsbcs9aUVC0FE2Fj\nuDAmaNFGo5ER08LCQpatWg9oV8+K5UJv12g1YnQCYcQotYf+Z6jN+9LSUpydncXGxkaCa+vU2qZx\nqSDTO9dySOvaGh8Mhor3y8vLODw8jOXl5bGeHioaKphmTyJG1QL2tLQJxoHivJauAdREbpghAYdO\nkJXxqWk7nwEQaRIo/JVXAoH2aLfbjcXFxXxmtqymRgglAX7Bjbm0F5RXXl5exr1796LT6cSdO3ey\nxbj9fXV1lWzE0tJSAtAq0DW+WkpHxJjwWiBQm0IJ8jTWAmAABWuMDSCaBq7YiFr23O12U/fxXQbg\nDbnq5hUhcoa1qYvclfOeZ2ZmcsHYAFdXV/Hq1avMNykZhJTRQAyrhVoXHGfMIKOSrq+vY39/P3Z3\nd9MJ0h1sbGzEq1evMmIiXOp0OmnAK4WtlwEqkqHzGQZTNFo3BqCzv7+fOXfOQn5cZO+dI0YNaESS\n9XhhEY7IhZiROMkz2VTa2DK4WBaORgRFCGkjijCdxMcwcuoRkVESbQDa7uTkJPurowMZNWxOdVBA\nm0jF55UJPX78OJ2fCEqKqb5LxEhrIN95cXGRDY2qYG9hYSHXEVDIeAM/tWcFh+h5id+M8dTUVPaT\n9xwM3eHhYa5NDNPJyUkewXqzn0TtywCkWTcRo0qSfr8fL168iMXFxVhfX4+nT5+mM240Gqmir1oS\nht46AqTNvxSSKPfq6iqjPP0e5ufn48WLF6n1efDgQZyfn48dchMxSjUA5/Z2ValjDwEuZbL25cnJ\nSTSbzeh2u+k8ak19zWnfFKrVUjNC1pWVleh0Ovnsk5OTmWqUqgTWAAlO3p5mkzhr67GWKdYuhLWh\nFyaUTbHOBoPBGGMJDBk/a8latY581nNT1E9OjpqwYeYWFxczdWLsqkDT//WlYO8IpaUWq4DbnBIb\ne16gG3MHjF9cXCSoAmwIVIlSI0aHJA2ZlN8sD/Zbd70VfQC2trbi6urq6wc0jFqvViWthYoZsClE\nKAy5n/V6vWzpafEzzmgrzk6aQbcy4IMTRSkSEFaqjaE4PT2Nzc3NNBAXFxexsbGRKuZaIgdVq0cV\ngRPM3FRse0/R9/z8fOzt7eXnOHrOCwK2MQaDQZ4FUKlgzEHVJohg5+bm4t69e3kICOfZbreT7gba\nqpCQwxLBij5FC0tLS/k9ohlGa3Z2Np0DypwRGAyGTYMIw2qkRphWqWffJbKkoailcUq/pBlqNFbz\n5eZlYWEhBX+MVqXNHz58GL/8y7+cTicixtYfJ68yRC2+1IXfA2RarVYCNU5BVLm8vJz0OSc0PT0d\n7XY7o+XKBlUhYMSoY56xajQa6dBmZmbGGt2I1uVvRdhyylVQaEwnJoblnK1Wa6zrX8TolDlgR4QM\nOJydnWWJHofpHR4+fBjvvfdegsheb1iP7rvtc3bE+5pbrNrt27dja2srUwwAYESM9RnhiM1fXQ/A\npFy7IELaBks0OzubZ0CYY8APiJKGYnP83PfqYFfZPvZSJ83Ly8vs6MhJYmrMeQV9bBIbB4QdHh7G\nO++8E1/96lfz3tjP6enp7LDKnorIqyBZ+gE7WtmpRqMRBwcH+b4AB4Aj3VFZREC82gZ7wpwASQCi\n+REwAlzu12qtjwHLb/f13T4AX79qHbDDdSxGNJmFxTBR4aLHa9kRR+jYYIbTAha9zs7O5mK7detW\nnhIn+osYnQInT7a/v5/PyYm699bWVrILl5eXsbu7G3Nzc5lz5giOj4+TggRejo+P80QyNasRI2Np\nIzC4GApj5zmVu9hYnGxEJGtRDeH19XVGkPLQ7v/uu+/GyspKzMzMpJG7uLjIjmaoU42OJiaGPQU6\nnU4CNA4KIn/x4kVSg7dv387TGol9OHRCHRGPcQEYKlCzsUW71gSgITIWqdMbWBfOLKeSJkySzqHu\nnpqaSkan9hlAmUdEsk0RkdGt0j9GUAQeMdKyMGgRoyNmaQVQ89ih+fn5ePXqVTJJZ2dnWfJ2s4Kg\nCtmsEYCv3W7Hy5cvx9g1kRwR7sXFRTZPAVYiRqe91WqMqvIGoKQFCOTMB5GcufRuteEVFoXWhXCN\nY7yp5wHoI0aCUHvo+vo6VlZWMupHlRt/z1/BKmrc/US1V1dXuacADTl5Pf9Ft1VdL4rF5AH5tSyQ\n06qMaLPZzH0BuHr2w8PDTI0YvzqemJ6bzJa5kEaQZqhHM2u6A0iah5sH7tCa2KecvzmQHqmOX0nr\nxsZGfPDBBznOd+7cyYAM5W+fWbuAg6uWjEtl+H5AqVYynZ2dxfd+7/d+R53/t3q9FQyA070Yaf3O\nGXUG1cJG5Q0Gg6QPbWAtL4k+GDrqa4sUMhdVQ5IWxerqaopQbMjq0CJGTX0YWmIegkNdujglqL6W\nN1Z1dO3JXnvHaw3LkaBSGe2Dg4MEInLqNSUyPz8fd+7ciRcvXkTESL3s/4wasNvs8WwAACAASURB\nVHDnzp2IGIkzUdRq/OUQaxTOUdZ8NQPAcNb839TUVDawiRg1IomIZAMq9clA+Zx3BRxrxYA8bT1g\npdfrxYMHD+L169ep1OZwr6+vY3V1NSKGegHpGGNlDiuzQhSntXS3241Hjx5lPXjVjVTxF4fpuQAL\nDE/tHcEhWSeiYuM2MTGRZYhVBCfP7z0AK4JGc0gbcTMPjXLFcIkWOTYpORE4hqiKQhlv9zcWlPlS\ncSojRIH2PPpWVC23vL6+Hl/72tdyjmvut5bvYpqIwKSazIMoWF7dn81Ldf6AJMW/PbW4uJjjwxES\nsgJCgIt5YH/MB/bBfdW+S4lZ51igqgvCHE5NTWUDtVoVIWAC+F013UdTFRG5BhuNRjx48CA6nU6m\nD5aXl2NnZyfW19djamoqK13seWyksbV3sAPsarU91hpWg23D/rJj9k+9P3Gvd2FXPL99KzVQWbnb\nt29/XQvy/0knwOPj43j27FlOnPaUH5bLWe9Vla/das1lQpNVgGbRHx4exvb2dhrzs7OzODo6is3N\nzYwwOQ9gY3FxMRcjI8VI7OzspHoZgnZZXDYtx+NncmYcBcofFVaFWwcHB2OCRjSYZ4We0aSMDerU\n2dg23eTkqNuePCzKloOAphkk4xgxqmqoIrvaj7vf7+fZ3TaUaM+mjIg0ZhEj+pWzqPQvelQL5XqM\nakSk9sEYSnWgUdG1HJKI13edn5/HxcWwy2Kn0xkzzH5vcXEx9vf3s1mTOZfaADSMofWEdqViNhae\no91u5zqlSEZXY1WMI0CLKQB0a3fKw8PDZD4wXtPT03mehfHk4G/SolVQyOGhumtZF0Dq55V+BbCx\nAfYsgCgFBLBVAZ9Im6grYsT+Kc8lQsQwWGPyu+a2ak68N+AUEfHixYu0GVI0dV9ZYzU9B6ACQzcV\n9BXw93q9rJk3J9JkyidR7kAZZ+8IaD/3PcAZQZ31pvcHYGZ++/1hD4K1tbXMjdszmIWDg4O8ryhZ\nusX4GkOleGyZktBOp5PVJjs7O2O9DCIiG21hZe07gMjfpZgqm1FTYlgXYytdag458urMBVXWLrtY\nmUUMlLE/ODj4ekrlN+Csvs3XNwQA//E//sf4R//oH8W7774bd+7ciampqXj16lU8fvw4/uSf/JPx\n+3//7/92Pef/01XpncvLy9jb20tlqwiVA65GtzZ8GQwGsbOzE91uN16+fJnH9L5+/TqbQWhta6FR\njRMRMqI1IoHUgYMqtouIbAOLrhXhyJFZhOqRq/IUFVsbokRE9l1H93N+H3zwQbTb7UTMoktGiPGr\n+fMq8qraA1G6yNJ4y6XbbNIJnBSDxaiKUBmnKrxB49bOZPLwnFI9ltSfHzx4kOc4ELqJGoEgTEnt\nH+D3iZwAE+MAKCq3Y4Ru5lyrYl6ExwGImuqxoqKwiKGjWllZiYhI517nxVqqqv2I0VkJDBsQJz2z\nv7+fkSOHaS78DqNvnaHPrUtAEkNgDQIcHJHxsq5brVZ+jzK5enwzoCHao6eogFA7XvQ/AEf/oImL\n3gnWlX0vCveeaux9tlYKYRFFip5VxA7wiqbNtT3kz9a9d4iIDBiAe8Dd3PV6vRTMOZzGc3omQAZz\nxqmJ+LFXmK/Jycls8oQpdD82QF8Gjv7y8jKbAVVtifXMGXs/421cIobMmHSevTE5OZnaJXMCUB0f\nH2eXVeA6IrJTqn1ORHt9fZ3NlNjkCtawP5WNkgKuJYwYXGvUPrDfgN/KbE18GLx/fAMA8Jf/8l+O\nlZWV+Kt/9a/G937v94797Ctf+Ur8i3/xL+Lf/Jt/Ez/zMz/zDb/gf/yP/xE/8zM/Ez/7sz8bX/rS\nl+LP/Jk/E48ePYqIiM9+9rPxh/7QH4p//s//efyzf/bPYmpqKv7sn/2z8Qf+wB+I169fx0/8xE9k\n5PZ3/s7fiXa7Hb/4i78Yf/tv/+2YnJyMT33qU/FjP/Zj3/QlB4NBHkgiItDhiZGoRtamt/EsBIYN\n0r64uIiXL1+m45DL1WiEsar5sSqeqeKWqgOoVLTPOGmQ+ha9xblUARgDKueKDWBoqoq3Rnu6WYkC\n6saBxukbOKeISKcgL0iJqzufTcH50w84EKSyG7WagfIac1EpVCicsbRhq3O+vr5ORL6+vp6Odmtr\nK+esjl9EpMgKxU3UVPOoxlaah0FiHDWFqWJQBpJBZnzqyYCcArFaFVIaY3oOaxXYEj3X8k1rrQJH\njrG2WDZOnHS73c4+/ppDyW16H8C4slvyybV8U1To4B3z4rv7/dEZ797fWgKCrTnGuY6HNIBDXjgX\n1RHuaw45kKoZqNqHiEj6u6Zl7BW6AffkoO2TpaWl1LLY56pM7HlpvPn5+TEtCTuBMVhYWMi0nJbA\nL1++zPXCRonAazpM/j9i1HbYugBozUvEsNmU9AsHJ8WlY19EZHVQZUjsgWqvgDbr1Bqp6v2I0dkR\nwCQtStUGAJf1PkCvedVZ0nMTR3vGdrudFRjWG0bOvSIigzVsJoAnCDKnFST4LBvlOwZvfhXgrw8A\n/sJf+AuZq715fd/3fV/81E/9VLx69eob3vwf/sN/GP/6X//rFKf9r//1v+JHf/RH40d/9EfzM7u7\nu/GzP/uz8S//5b+Mi4uL+MxnPhM/+IM/GP/0n/7T+OhHPxo/9mM/Fv/23/7b+Af/4B/E5z73ufhr\nf+2vxec///nY3NyMP/2n/3R8+ctfjo9//OPf8Dk4ExNk0c3OzmZUV3N1VRXMSAwGg3j8+HEqYyMi\nHQmRkO9AF11fj7pYNZvNNKD1GTiwiNFGrfRXozE8H8CmBw4iIkVyrnqAUQUc9fQrlDwWoary1RfX\nfDca3NhFRIqSImJMCKb+leMn8qnRL4N6fX0d29vbOX4AFKq4GjhlTBGRCvn5+fkU3ygjZHSUTNVN\njpY2Tp671shz1N5bhIiu9eeFhYXsBMaJMQjKD0UWNBjuKfIAQGgxzHEFhZz23Nxcfu7u3bs5T9Ic\nNAERMUbTcw7VWJkP4Eq+nQHDWLVarSwN9BwzMzPRbrfz3QEiwMz4cmKi4lpey2lyRA8fPszzH1C2\nDDfjz8HYI0BZjaKrE1xfX8+STkDN89ayQCk66RhjDHDXiJIjqVqLs7Oz3EeicICMs4+IBC/2Z6Xf\nq07G+vUeEZFjQh2PsePQO51OigNr62sByk0RZU2rNRqNpN6lhgAd6vbl5eXs7eGkS2Pe6/WSMeOk\nvZN9bc456NrnX3AlIDN+QKwW18p5OVfPWUFTHatqy+2rnZ2dWFtby0CrVgAQUjYao0oP+6rOiTE3\nt2j/drsdr169yndstVpfF3+/+Qjg11UocP5/62/9rTg8PBz72U/8xE9ExNAYfaPr0aNH8fnPfz4N\nw//8n/8z/sN/+A/xx//4H4/Pfe5zcXp6Gr/0S78U3//935+q1kePHsWv/uqvxn/7b/8tfviHfzgi\nIj796U/HL/zCL2SJ3ubmZkRE/NAP/VD8/M///Dd9SUab8bBAJicns2ZdxFprtRlJ6L7dbqczmZsb\nHgS0vr4ejx8/jnv37iWroFXvnTt3xuhQ96vlSnLFFKaEMk4dFAVUypFBNx5qxity39vbS0fBGflu\n6B/7gW6WGqgg4M6dO2nAatc0QEa0HBHZhtd3KYHULIVOIWJ09Kjop9PpRESkIGl/fz+Bjqi3ajjk\n9tfW1qLVamVZmnwzZ72xsZEUM4dtHKogLWIEZipgsdk5OeWMxGDdbjfXDUdXtSUrKytj5VjtdjuB\nXL/fT6OupFR06x3b7XaWNkVE7O/vJ+PBuRKf6reA8rbWfR9D69nNE6Nfo7mDg4NYW1uLW7duZeXM\n3NzwDHQKdWtaOguAk2O3xjqdzli/CpUfk5OTSflzbICI362KfOOhJJFRjohk91T23Lp1K1ZXVxMA\nYxqur4dVKUCdfaW80RqUR8c27e/v5/hWh2C8MJUEbJxJv9/PhkeYMPZwYWEhm4XZz6enp6kol58/\nOjqKbrebaSn0NiZBEyJzrcEPx+xgm1riNjExbO0NtLKTgKrxBHbQ6VKRWJJaFaHKqNls5riya3L2\nxpb9M3/SBjUdQpTI0XunCpQFHNWuW9cnJyepX6ppQAd4WQf1DBO6LL/ju4A/oBPDEzEE76p+zBdA\n86Zf31Si+K/+1b+Kz3zmM/Erv/Ir+W9f/epXv6Wb/8E/+AfHJvR3/a7fFT/5kz8ZP/dzPxebm5vx\n+c9/PiM0l4N3dL/yb8fHx0lT18/Kh32z64MPPsh8pRwRuhMIgM4Zh0rF37p1K7a3t+ODDz6Ik5OT\n2N3dTSelPlxp1cnJSQoFUendbjcNI4S7vLw8RjPJ6dIVHB4eJjUHSKhE4BSur6/H9AFXV1exurqa\nZ4NHDJkCxrXVao3lt2tagAPzzLOzs/Hee+9l7/aVlZVsp8rIKPWJGB0MNDExEQcHB7G9vZ2Ow3uj\nZYE4eXIle5Tfl5eXsby8HKurq2lkOHER2gcffBBbW1sZ7dXUSqPRyC6DVND3799Pw27OqnNtNBpp\nMLSgvdkAyNoEZIi8rB9rhpMGLrW53draioODg9R7ACz7+/vJDtQ1QuUNZHEyejUAhxHDCEhuX+TC\n2Zhv2hYOtEbtjCd2gmK+5oHpAzgHgMe7VJBpXQOT9tX29nbS7sa79k43hsAWx3t8fJwAZHp62MQL\nWNLUCR28t7cXe3t7sbS0lE225ICl887OzuLZs2dxcXERnU4nS3bRuppVifaMZ62AICamf+F0CY+r\nqM8ewjz4jrm5uVhdXc3x0UwIMwPomlN7hqPSUItT8nsEzbdv385Sv6oxwqTURlnKVtfW1mJubi6j\nfs6w7mdzzxGyRY4JRuuvra3lmri+vk6bDXhqP65qI2IE+geDQTI48/PzKUA0VubfegL2JiYmEgBi\nD168eJGszbNnz1KXZB/Y57UCQ/XH/fv3kxWJiNxDNY1MmE1oWVMdb+r1TasANjc346//9b8ef/7P\n//n48R//8fjDf/gP/4aRzY/8yI+ks/+RH/mR+Jt/82/GJz/5yZz0iEhAUBuCnJ6eZjlU/SyE982u\nT3/609/w5x/5yEd+I6/zob2+53u+57fkvr/v9/2+N+I53rTrox/96G/avT75yU/+pt3r/+frm6UF\nv9GFefzu9Vt7/cAP/MB3+hHe+utbKgP83b/7d8fP/dzPxZ/7c38uvvSlL2U08n97/ak/9afic5/7\nXHziE5+In//5n4/f+Tt/Z3ziE5+Iv/f3/l7mrN577734vu/7vvj+7//++MIXvhCf+MQn4gtf+EL8\n3t/7exMZP3/+PB48eBBf/OIXvyUR4H/9r/81qfKaOxUJoJJulnXVHNPx8XGcnJzE3bt3Y35+Pra2\ntuLdd99NhCiXJxIRWYpmKo0uWo+IRNU3RWbof3QgkZPIrd/vZwkLRX+tCUdXES2K7iuNCblX3YHf\nW19fz8gWrVtrflFwaNof/MEfjH/37/5dInY6B/+Xt6sdB4E3qFp+EH1qPNFvlZLFimjBSo1fI0Z5\nUe+FlhRlK7mr3cs0LqkNaYBO81RL9RqNRuzt7cX19XVS0NPTwy57zqMXEXlv7FJE5Dii0tH3ExPD\nDmzdbjcWFhbi/Pw8Pv3pT8cXv/jF/L1a4mRsjUWNmKxdUX6j0UgWSNpKox/rGBvT7/fzd62hiMj3\nNWdSFlWw9X/qCW9N3L9/P5sE1ftXdoYGpFZPYKbkj6VsrOGZmZlYWlpKur/ZbMb29nbmsd0Du0jP\n0Gq14vbt2/Gxj30s/st/+S8ZSdcxsVfrc3Q6nbi+vo61tbXs1jc5OWxHLAr0jNake2MG2AUpCEES\njZF1+Pr16xSt3bt3L7a2tjI9ae9bA+j8WipZI2e5b/bNSakzMzPR7XZjc3MzXr58mba+pkIjxun5\n2nuDfdVlcmdnJ+3Q1NTw0KGFhYX41Kc+Ff/pP/2njNqvr69jc3Mzzs7OUnToELQqoPQs2BjNjXQy\ntK5r3T57qi0z9mR/fz/TwES59F6qMKRLq6ZKZM+GYY5UuGAzHz366BgD/u2+1ta+ebn+N/XkXnZj\nYyP+yT/5J/FTP/VT8cu//Mv/Vw9i4n76p386fvqnfzqmpqZifX09/sbf+Btx+/bt+BN/4k/EZz/7\n2ej3+/EX/+JfjJmZmfjMZz4TP/mTPxmf/exnY2ZmJv7u3/27eY+/9Jf+UvR6vfihH/qh+MQnPvFN\nv18Okyjp5sldFnJEpCNg4DgLVBE6mV6Bw0dXUmIzXt69quZtJA6kOkiCRc6aIZReQCXX3D7RW683\nOvpUmZvcNUEU8EHsMjU1bBZzdHQU8/Pzqf4GIpRUAUscFuHMxcVFOoEqZvI7NV8eEWMsTqfTyZpu\nBki6hWBKFUVEjKV7Li8vk0an0FUVgMozv8vLy9lqmXAHXb20tJTGTPUE5TuwUZs5uT/KW4mX9wfM\nAMraiAR4YnRQyUrOnCjo3kdHR79mfcrj1rQEIOaEQKCTcTQnnGwVUWlvXZ2AeSXERItyWoyi0lN1\n0roGqjYwLvYV53N+fh7vv/9+Oim/e35+Hp1OJ51TBbnGzT2A+aoGJ1DTyEiKbGpqKte7fLuDaKqm\nxWf8DhABXMlfA1jdbnesVI7jrXuC/QOCaHhoMehVvMPl5WWu8wrQaxUCYMGmANUc1uTkZIJddq6W\n30mFWr+o9NXV1djf34+7d+/G7u5uOjfC08PDwzw9kC2w58y1tIPUCVvCDqrGYXsEM9PT09kWemZm\nJudGJUK1mzWVQWxYUyJAmr3Hvgog7X/g195mi7yH/VqDAXvNuqHJ0QGyliZ/CCQAMTH4JomK2sTF\n9d//+3+P3/N7fs9v6YP9Zl7//t//+4xeTk5OotVqxd7eXuYgKf5rq9+b+R05eX3qIcaVlZWMEixE\njk9zHTk7DS7kT0X0tawkIrJECwomkHz16lWWAnLEExPjZ9Z7fpuKMEv0wqCJ8hhEAkmRDaNby+8i\nRnXdjKrP/8AP/ED85//8n3OzAR0VQE1OTmYjFs8uupcrVUolp1+bqlQlcGU+qmOqavhq2FdWVmJy\ncnJsjgmbnGjHqTIynrGWNlUlf0Rk0yLR7/z8/Nj5A/L/IkKtSiNGZY8AnTUEKNIQ3L59O87Pz+OH\nf/iH44tf/OKYwbu4uIjl5eUcR0YXEyJnC7xa15yF89erIAtYMAaqROrRp/LdgAxQRCAI2HJuFOnm\nAHBRORMRCTpFmxxbLcWLGPVwt96tD/lz4wCoXF1dZaObmZmZ2N3dTecHANL/fOpTn4ovfOELY3l7\ne8B+Mjb2NCemXJEwT0686ipqsyB7wruafw10jGsVsDabzRTEYkxevXqV5XxXV1fJQlnr9qwxq+WI\nQDfQaD/7TswBZkaPFJ/H6ghcKhNhX0bE2Fg2Go341Kc+Fb/wC7+Q69CatPaIk+msANDKQNFD1NI+\nwApzGjEuOL57925qiIBGz7++vj52rgQ7Q/9SRc9sOjbQfBLMLy8vxzvvfOzDywD8lb/yV77hL36Y\nAAADqj88R2FzcDa1+QpkXRdxLfMh1ELX9vv9POzHd/luEabFX8uhGHyOuZZq6SSmVIeQ5/r6Opu2\nMHJ1k0OxAAXDxUhSwfodm1c6Q5QVEekUOQ+0L2pZd7aISOqdkVQixHCL9G3kGgVVtbGxxqCIXDl0\nAMU9/Z1jtylvlsJRC4sKUI/eGQipoMWcqDevYsyZmZnY2dmJXq+X84G5ELER7TG+6F2MAyMVETmu\nvp/xITg0l8R4niEi8v2JaFUsiCg5SmdUcKIidvQ5w+YSKZ6cnMTa2lqmJCoAxCKIyIAftDcFdjXa\nZ2dnY2Ba7XYtDTPn6F57I2KkWK+KfOLL+fn5VMgTl+3s7Ix1u/Q7jUYj9UbWHmMuyvbdxpjjB07m\n5+eTUZDG293dTRuglLA2+qoi3pqio0qv9fFYv9PT0zyK+t69e2NtoetpgNYMACngqO187S22bjAY\nxMHBQTx48CDPFTA+QJuLM7VmBDNAtKgaQLcuK7iLGJ26iG733Niwbrc7xni9fv06zs/Po9VqRbvd\nzgPaaiWPEmR7Q6+NW7duZcpxf38/gXBNW7x69SrXgHVk/eo0ae0B15WFWV1dTRs1DFy+RQf1Hbx+\nXQDwyU9+MiOhv//3/378+I//+BiC/DBdHFt1/NT1ESP1N1TPEZhcEcXMzEz2qr68HB7GozEHhbEN\nLNqwuTiHmk+y8ClvoXHUL0fabrfTucoj1rKUiEgDwOEyuNT6GAGOiTHVtGZ+fj7b1VL9Q/vafTp5\nTY6LUp8zFn2j2BgQxswm52RsQh0Ua6mUHLg/G4tah1zr2OXu0ZYiUWkVxkjkR0DKudvM6GfvLg3h\nGaQNACJORlvow8PDBJMqRA4PD/M5I2LMUdS15ftq5cnR0VHMzMzkmgBg1KEzmvLonJNoSgWFvQyI\novCthepkIiLTAA5hqloIqasawVKV16vmzyug40zPz89jdXU1dnd3Q5mtygulbTUKtb79H/i1/2q0\n5dms7/Pz81hbW4tOp5M0NSBS9Sp1/VqzHBCgfFNDgfG7urqK/f392NjYyBbSlR4H0OWh2R4aFGBA\n6VxlFes8HB0dxdXV6Ahva9981sZEEaPDbNgXtg0zpoy4MhH0R1gyNkb/D9FzLVvGlkp/SOHYI0CQ\nwEQqdnZ2NkEY1jUicv4waRGR+5/i3rN6HuDXn1+/fh3Ly8u5t2tA4HmsJeOm+6Tv5ENqOSKGwPfM\nzs7G7u5uzu8Q/L35fvLXBQB/9I/+0fzzP/7H/zj+yB/5I9+WB/qtuES+Jvr169fpgKoxUlLT6/Xy\nwIzp6em4d+9enJycxJMnT9JJQYVYBQId0aRa1IWFhTg4OEgnaXFD/RweR1RbVEZE5jmVP6KYGGfR\nCYeFNrQJRUoWL2cjHUL8FRHZohV4EUHKgVr4xDQ6mbn8uQoFIX9H+MojKpuUS71ZTqfXvejQ/VHV\n3hsdydgCNnQaUht37tzJc9+VXkXEGHtQdR7epbYGri1s5Vdr/psTJAxsNptpNM0xw8KYS7XQYBgH\n5YbGo2o2gJIqJiX4M89VUOj3gNDr62EtPEfuIBwn2Ok0eHR0lHT0/Px8gjE59larlWt0fn4+76kd\nMyGkfGl9XtEX4FIpZ2u90uTWVKXFjQtGTkoCNQ20WYfn5+dx+/btWFlZSeamrkMOE8C2T40TwM35\nul+n08m5v3v37lgqj95A/tk6iIicW/sN+2E/VvFcFV2yL8bdM1XAUevi7SEAHBBBhYvyaxpNWogA\nFcODravtrq3pCqJquaJ/x8qIxD2bcbI2pAD8Ww10jIuUEEBA+0KcW3URUokifeJh34Wl9XNl4QAx\nYOY+VccBtE9PT2dZrvt8GBoBvRXHAXPQnKQmNTYe5IquQj+KmHZ3d8dEXWtra4mMbdJ2u53iGJtH\nysCm9r2cko0h5y/lQD/AIIkCIM7JycnMXVZxl3x+jXZFwFB/xNBBo9IYSIcX2XxV6T83NxcrKyu5\naSDpiEhmISLy3USPWAopBBSopib+nYCy2WzG4eFhGvVan1zriNHajLn8HO2Ad2SUJyYm4vnz52Nn\nNUD6NrOxNk8io7OzszEdh/vu7+9Hq9VKdfnh4WFGRMCF/gyci38nyAIWJicns7lNzQEz7HQeEUMh\n5Orq6pgwjiNheCpVbd69cwWCi4uL0e12szOeyEhDl5s5cL+rX4W542Dn5uaypzy9C8bJfdHEldVB\nETu5TyQmMuZ8dVrj+AkVq16jds2MGJ38qH3t9fV1bG1t5f6QLiLurTYDKKm6Fs+t4ZcDlAaDQUax\nHJqUjmeQugFGajrD+rNW6rG3ompzEREJAu0Ntet+Rn8TMVLsDwbDPgSNRiO2t7czGImIjOD39/dT\nR0HgbN4FTFKfU1NTeSaK+2MBAY2IUcc/YtqavgP2RNtA0sXFRSwtLaWg9CaDYX28ePEimZga4Jl/\nolbrFkj8+Mc/nmzK8fFxLCwsJHNrXdNtWCfmExDC+LCTAitM1ofheisAAKEI9AbpitZNFkFgPawm\nYtSvWjMf4hnRkggHUkSrujhngjw/E93Im1poECVnPzk5mWp8DonzZCyqcAw9jv6v4jlOSV4PAJia\nmspz6yuNDJzoo+10QJ/z3hGRTrnSwwwpFmQwGMTy8nJSfQxbjag9n06JlYbFzLg/53VxcRF7e3t5\n+FC73Y7T09MsJXIv0RCgVhXSHEq/P2zcZI2I4r/ne74nnj59GkdHR9lcpqZY5HpFG+12O+lavefl\nLK0tKnfUJRZARCINwKDV5inWNRYLsGP4GXggR+RHS/Lq1atswWz9aGMKfGFM2u125pG9q/e3hwC8\nCigXFxfzREqO0zqpCnDpHEyL90HxWvsArXVSQY5ObxyOvRsx0sEAyVgx3RS1PY6IPIymVl5gGOwX\noB7LhA3BklnrWBylbdgkQk3rwD64vr4eY16kZ0S2VUS4vLycWgNCzZr3N/fed3p6vJ0wgFvBMkbB\n73OqgKh7e0/6DxUsbIogxlyYt/Pz8wTC8ubb29vx+PHj+JVf+ZXcSzqgTk1NJd1vvds/AJRxAb7N\nseCj6kM0nnr16tVYdYgUai2XZofphdjnmZmZ2NjYyJJx8w2QAcEVYL2p168LAD7/+c/nnzudztjf\nI+Jbqr9/U66Tk5PsYc4IWZiTk8N2sQRN/g0DYEM5SezBgwcZab7//vuxtbWVxqHRGJWgifYh4ohI\n5Gph2AhVgLW+vp71qUQ7Z2dnqdbmUFFkNnWN8hl5EZl+5TawSwkTloL4px6Sg750iS4AjboRvYvn\ni4jM6929ezfvL09elfrr6+txdXX1azYPgyRfzhnrgNdoNNJgAwKXl5eJ7DE9jK0qkIhR3wGR2crK\nSoriqhHHFLz77rsZbWFdjMPc3Fy8ePEiW8rKmQObgFelEv07R3t6eprOkkGt0Yur2+2mgJJDtV49\nk4qLOmYiVCmc5eXlMU0AJkOkvrq6GldXww5nx8fHKQ5dWFiIVqsVu7u7ZbKQ5AAAIABJREFU6eAq\n01ErD9SS11RUpeY5AG1lUe61PO3g4CDXRGUQgGNjC4Cjf6WciPSwBBGRXd2ur4dlg1VQKZ3DuFex\nbu3vUdNG9kSj0chSOSCBYwZAVeDYI8YHsALoOSHOaXp6OkstUfMCCyBPhA68YCqUt0aMuklykOYU\nm8Je+G559MqY6JRZ0xXWNUDP2QIXwKHn6PV68fLly2i32/Hs2bMEHRGRtfV+r9frZVlzTSVVnZU/\nS4FhbjAwDx8+jE6nk+OM2RAcuB97LAhhE+0tDKD7YxU8gwPhPtQagJoT+2N/7I992x7ot+q62Xq1\nNsXY39+PiNExuaIcYivOVZtfi+/6+jp/J2JUDy0Pt7q6mq1Cq/AOKKiH98h7Ox1OFF/paY1hRMPQ\nKUQPzU9MTMTOzs5Yra/cl00CpQMNVWzE2Ny+fTsjWN+Bnqtlkp4PbSk/LBXCmFdjJj2BPpYisPEc\nRMIJ1h4DEZHjJd+3tLQ0driRPF7N3xIr+T1RTESkwcUIMI4RkQ6lCn4ACjlQn5XLX11djYODg/zZ\n2dlZrK+vj5Xrmf9KrwI2VNWAWGWUsD8odJQzFT0hGWPMQTnHIiKSfRGZcQhTU1PpQOTGa1XKzMxM\n5vg5zZrS4MgZbSCvlmyurKzk2RX7+/upYscoNJvNsRp8ehRgp6Y+7AV73AmNvV4vnj59mrQzJ4iN\ncWmNDQRHRO5nEbu1gE4myFVpwaE5WrnT6cTp6Wmsrq5mflmKAytQWTe2wJrUX0FzG7n66enpODo6\nirm5/83e3cfYvl914V979jydOTOzZ/aex3POnHPuhRaLCkoK4WJvg0aNQhqJLaE8hCimGqLGoNRW\nE6FEg4WIqCFUgzEkTWigRAS10QSDubGiBpSb0NpLabn3PM/zw5lz5nnP74/ta+21p9RD6X2sv29y\nc885s+e7v9/Pw1rv9V7vtT7jsbOzk46s2+0mk6FiyDxXmlrOfGJiYqBU9ezsLDY2NmJxcTFBs5QF\nit/8Hx72TuGs+g/pVfuSzWIn7c179+4NiDXNC9to3WCIKghUVsn5e2cBjD1lXrAau7u70Wq1sl14\nbSKEWSCAnZuby3kAXLAClSmu7zY21juTxHqWYuq1Yv9CPNRrc31eAPCe97wnI9TPdzGMr/er2+1m\nlBTRM34LCwtJGSknUTdrA4geI/od+zjYZrMZnU4nkTOn5XOQajVkEf2jc1HEoqGIvmAPSLHgGYGq\nbq33BE5slpmZmYwYRXOVCvN/pS2Mt1TGzs5OLuqZmZnY2dlJivJizwApAuMsT8fh2OwMJbAxOTkZ\nh4e90/hWV1dT1S79wLABXDY0lE19LVIQoTLKWBAH9ShN4hwYgYj+aW0XtRqAA2qP6pz+QnSEkvWd\ncqKoVJqHjY2NNB5Yo4uCQgbU+CwvL8fq6mqCrKOjo2i328lKeX5iu5mZmSyXEq0YD+p6xj0iEvS5\nakmmyFVZk3x/RAw4eOOGNhfpczhyreZ+fX09xxgrBATRiNhrDDI2yj0B06pz8TMRdqfTyd8jPAVW\ngMO9vb3M57qkuoyxyFj6xr/J71c9hjUyPDwca2trqVHRP4HjMs6+V2rHnBLKnZ6exvb2dkb69jMN\nD3Cofr3OZ9UO6W1vrXGiwFdEpCPFXlxM1TQajeh0Opl2A4Rpk4aGhpKVrJodztcerBf27fHjx9kz\nY2ZmJu9rbQHnxldqyrrE7rFntS9H7S7JRjuptNPppGPf2dlJOwAM0mwAZ7UxEcC+urr6OULfHkj8\nvXin1/b6vADgve99bzz77LPxTd/0TQOIOaJHqf/iL/5ifPzjH4+f/MmffMUf8ou9bPyISGOmEoAK\nmVO/KCCidrXo0cOiAblytfWcBtqr2+1m8xvgQdRsoV0US6HtOPn19fUsG6u1qTb9/Px8Os6I/tGy\nnoUhiOgLjjhXoj+gowpqbDIGUa5T9FBLmCL6bW0ZQ/lGOdbT09M0yqKgKtryX0S/rt2mg9yNEU0E\np1/HVYTG2DujfmhoKOdRRISdqfl/een675gFTIZxA9iOjo5ieXk5aUrfQSPC8aNfHTSDhTCeUhmi\nee1ggRWGjoE1ztT8xmVkZCQPcnFP65hhrszF2NhYPHz4MDqdTgIuRplx73a7yaBgZqwZlSvG3f7h\ngACuZrMZ7XY7Dbt1av1MTEzE1tZWtNvtdI5aUUdERnpAbGXjgIDK9tmr8tuVqp+amkpWq7JL3qU6\n81rCB7BztsSfW1tb2exncnIyGSmAuKrvRbI112/s7CHPzQbVYAAdXZsrEe1FRNLx1pv9XdMQQKHU\nwv7+foyO9lopP3jwIObm5nKepISAMGuUip8dsB+BOeDs7OwsQVAtgdTQqup+MDq1eolNEoz4fQ7b\n2rN/vb905uTkZGxubmYQZR9Yn5iu3d3dnAd2ha8w3tYfrUFEJGgfHR2N1dXVJwbPr5fr8wKAf/JP\n/kl85CMfiXe9610xNTUVS0tL0Ww24969e7G9vR3f/d3fHf/sn/2zV/NZf9+X3KfmEQ8fPsxmEIyP\nzR0RacSr0ZLnnZubS0X4Jz/5ydje3o6JiYlYWlrKnvCchwWsm1Wl9hlJi12uCU27u7ubNP/8/HxS\nzuvr60m1EwYxIjY/tA7to/3kHRk1ThAKn5qaisuXL2eDEU6G0SHUwjTYnL631s77XvlrugoOnTP3\nLOvr6zE5ORntdju75YkuvYs5iYjciIQ6PqcbG0cREfmdlRatIqwqsJPT9XwiSmWX+kSgkwETztpn\nzL3nM/eVRQGsq6gMWDXHaGjPODU1lcASCK2lnIxTvxlJLwWi9rxWuXiOCmz39vai1WoNAKPah0KO\n1Tgw/O4tGpMfNV/GU++F+/fvx+TkZIocRVMAsxQFCtYYAta1mkb+tebCgRh7ua4Hxt37yxljRaqe\nxnqu1SwiWVGiP8/MzKRGBKgH3jgZjtdl3U5PTydj5TlqiZ7cvLRAFbhVkKn01L0jIp0XMK5bZW1o\ntLW1FcPDw8mCVmGhck7CUNoNTrSmldhLYr065gAH1hhtroQa6KzrBiNBRKzahDZlZ2cnUynSVyoQ\nCLcrK+XYcEEgkGJu61r1M2Jsaw84tc4Aqmazfyx0zz59oZ7q1b8+LwBoNpvxXd/1XfGd3/md8alP\nfSpefPHFaDabcf369fiKr/iKnNg3wgV9O3wE7R8RqYL2uYpiUYURg/S2DdntdpPK29nZyU0p1wcp\n13vWEhI048VKAGr209PTpIYtZiVwNf8qGpXTt9lsZFQjGrEKdVBrDNTJSb9JzuHhYUYVSvtQ7HL2\nNRUhf1cFNBH9sjflRYxqFUTK+9rodS7Oz89z7CslCDxxBJUe5Dg5ZEYMqKlRhs2Pqq1nIXBuvocT\nl5eWExZRNpu9g5Q2NzfTUVX2B1i6aOBEwio+GFKshs9jX0Q+BwcH0el0Ynt7O9kJ1SyMrQip5l+t\nl4j+Mc7euTp+f/f8HCDQyFgyqFpXV+2KMRsbG4vNzc38vePj45idnU3wBGQ0GoMdC1HB5kBEXUVw\n9p4xF+mqQqjOpbJDxuViAxq0d634qY2T7BfpttnZ2QHBomfZ2NhIJwuQ1RJQYOL8vFeChwkwN3Vd\nOTZXKhOLFxEZSYu4OUBOrYIIbFDdO81mM9NOVTVvPxkv41AZlqpl6Xa7abNoX+yz8fHxBN7eTfSP\nhRGo2Tf6NEREOlqpEkEIXcLw8HAGV6enp8nIVvu2u7ubLBeG03xK5XD4bIXeMNbt2tpagp7x8fGs\nnjI+AoA3wvXEMsBGoxFvectbvqjjNV/rS7lLVd2LIFBbDH2NalGySpzkANFRKysrmWvizNvtdubo\nRScR/UNcao5JxFPbCdd6X5STaKKKFxkmxllOjlKak4qIXLwicIjbqYbe2X04fZS5HLkIQE48oue4\nRbI2M6NBFDYxMZH5NSU1c3NzqUzGThBU+rzomjNTh8sZMaZKoprN5kBUQbRWBZAR/fwqoQ+NhPEU\nuXDK8pqoV12/GBqCvGvXrsX6+nqurxqdSAkYH9/L4XEEHBgVurlgNJ2yRmcATJo/ZUwcibwoJoLR\ntLakI7yLVMDIyEiq82u5HkdUx60yaQCOiLxGwcbRntvZ2UmmqPZIqG15q1BVdOfAK4I/1T0RkeDR\n91YNz8zMTHS73Wzc02w2U1xGSBrRB1mU8HpTADHGVq6Xk9FtcHt7O525TnbeT4rP+BjbiD7AjOgL\nzU5OeueQKH89ODiIxcXFrHZRu44ZwrzMzs4OAJHa0Mn3WlscNnANDNoP9rvKA0yFQIEDrOmZ+p+1\nw04quayNj6ampmJ9fT1Tn1VsywYSprLb9FoV1FoHtBOCF0HB0NBQbG9vZ5DiXY0de650GgtlnWAz\npcBqfwd7nM7jjRAkDz35I2/8q+aiRH7VYT58+DDrh8/Pz2N1dTXBQETE8vJyfMVXfEUuKmVsS0tL\n0Wq1khJWUcDZ60m+u7s7wBAwACJ5xkHkUY2wBh1yV0oWbQoshVyjTS/i4MQgY46kUpm7u7sDuS/s\ngMiHUUbB1bHc3t6O1dXViIjMVdZuZRsbG6lC3t7eTtXt+vp60ruU2aIPIAAC5wRs9IgYKN2pegr3\nq408OFTOQB5YyoFoiqHjTFUtMPgiD+CEwRDZbGxs5Dwy/hgI1STGRdTMKXM05t9zqDKojmFvby+f\ntZZxTk1NxeTkZHQ6nXSYHH/VV9RGPnKX1oM5sZ7q2NexqaksaQQAl3FlcK0bjm58fHygL8T9+/dz\n7dXTE0dHR2NlZSVLWkdGRjJtgGEiGJQmUAWB5dK8anFxMfcu8Rw2QLRsb2B+ODVg2fwZj9PT09yH\nd+7ciaOjo1hdXU1mQn7e/FaQBjRVESXWDmCzNg8PD5NJGB8fj1u3buVxxhgMgjbphMePH8f29naK\nFkXHEf3I2z6fmJiIhYWFtGHslDmoEXREZKoLw8k5s3vGC3jgLCMiGZKIfn+Fqvy3f0TgemcImID4\nah8EBSh+aRgsFDBvL7OTwEVEn6EgFiW0BA5oZohjAdr6/oIFQOGNwAI0P/CBD3zgtX6IV/p64YUX\nkka0YBirKmYRVdXSM4ZGVHD9+vWMavf397Okye/U8i35TkY4InLhMTxV3SqHNjQ0NEApKgsjmquC\nIJSYRcqYXRQeyV+JFicmJvKc9Keffjop0kePHsUf+SN/JDY3N2N6ejo2NzfTgMzOziZbERH5bhER\nTz/9dNy7dy8jGs5CygOImZ+fzwYaHCuD6jMihpqjlW9joDhd3+9n9eea+xBu1ZMADw8PM1+Kbqys\njzlm4Bn16enp7PnfbPa7DzIOBHnWmjK+KnKqDtUYRPRL8yoNaz6bzWasrKzEb/zGb8To6Gh2touI\nNIDEppgNAsCIGABuF49a5VzRodagXKu5EeE4/8GYezfrD8vkIkhER3u22nDrqaeeyuZL9AWYNywL\nloHR5ZRE9+Zbnr1WaACMwDXwcn5+nmK34+PjuHHjRrzwwgvpqDlwDJN7YIKAT7YCxWz/SaNhajCK\n3W43qe6ak5YaZF8ajUbMz88n4DRnjUYjrl27liAkIjL4sDf9OxthTqwpc9dqtQZSFaOjo9nZtIoT\nIyL3B+eJthd4uKd0gz9zqNbs9evXc19VsFGdZ2We6kFtnDogaJyqhgfbENErz1SBtL29HTdu3Egm\nxRq0j/gA6Q+s0O7ubq5hc157O1ibgO/JyUnMzMzlv78W1+XLT67QeyIAeM973hMjIyNx8+bNgQjs\njXQ527oaZRF2XVwoN4u+5om2trYGNAFHR0dx9+7d+MQnPhEbGxuxubkZa2tribofPXqULYQJxmqn\nNM7Ioq3KVdFyRZztdjvGxsZSGNRqteLx48dx9erVAepQFDQ5OZmlPzUqEoURtdAUMPCidkZ8eXk5\nIvqdsiJ6yB0lyhFfvXo1fuu3fisjQ455eLh/gM/5eb+HuLIwQiJpDkBEgxnfx6kbn+Pj41QtV4eF\nyrZBh4eHk4o/OjqKK1euxMnJSTIrp6enWcetdwOjwlBzxhgdAlJzJjpYXl4eyPcbI+WeDKl5wP5w\ntNIFjJncL8fz1FNPxd27dzO9o27ZPWuOWUpK3ti6QyljeC5duhQbGxsDh7GcnZ3l+mq329kICHhi\npI0POpmjo73wnJ6Nw60pD5EioWFEpFis2WzG3NxcqvABX+Ne01x1jvf39xOkWBsiY/NpvXW73djZ\n2UlB3MrKSpa/StFg/gBCTgJAYUvQ0WhmjEwta/R+9hSQi4khaPSu/qvRudz2nTt30kFi6eztWuWB\nYQS8K4tjXugbjHVE5BxLEdnbNUXabrdzv1gHgK71XU9jtTdv3ryZ67CeZlgdqjStwIjuw/PTM1Sh\nthRa1Y5o1gYo0prU8lp7SCDH1wkgtMY2DlgAc2isAebj4+PodBbe+ABgaWkp/uN//I/xwQ9+MF58\n8cVot9uxuLj4cj3jq3J94hOfSANrs7Varfw5o8SwoC0r7cuwMLBQ3vLycnz5l395TE9Px8LCQly5\nciV7xHc6nZiZmclyI7lLi0UUwknaLFWoNDIyEnfu3MnPHB4extWrV7PETp6VI7X5gRybR5tVBscm\n9/OIGDAWjIPa4na7nZSrZ5UDGx4ejqWlpTwZEchAuaH/OL3V1dV0oDZ57XAoKkOVQt2VIbloJKmh\nGZ4aPZjzy5cvx9zcXLI+HGNETxcgcqgNSSpNyTiii72P3xHBYX+UH3ovzrpGU1Vx7HOiSYZTfvf6\n9euxtbU1QBXLx1Yhq3urDiAKrHnviL4QUITE2HonTg4jUo0b0IlCZryNlfFqNpv57tZbLR80xhyg\nZ7eGODLfpaKlpn0AaRRsBVjGt3a3pGOJiNRMYGlWVlbixRdfTG0JRyDSdbJgZa8ALwAVMK1CMXug\nCg0BFoAPeOp2uwMtv6Uxqk2QHrJWI3p6HAAXC2QcUNPe30XE554VTFedUa3gsfcq41NZF6CYQ62p\nKEemX7lyJV544YUEHlI/7mGMzMPw8HBcvXo1GS3rgcOmn8LYSBUBZ5gIwVdEX49hP9jbGCdjTR9m\nj/lzFUHyCxERb37zmyMiYmKi9ZrqAF4WAHD16tX4k3/yT8a3fdu3xf7+fvzAD/xA/PzP/3ycnJzE\nV37lV74hWAF0rdy5aLcu5EajkeI+G7xOns2hzlpuX9tOrXr1BudMbTZGAp1qsfkOQEOEEtGPhJSe\nEP6gMDlEqJlCnwHmYDx/Fb5wiCMjI9nogrH3uxAttB3Rb19MBWzDX79+PT71qU/lu1aKsarFj4+P\nU1fA6A4PD+f71VTNw4cPBza1fHlEP/cpt1fHs4qGut1uLC0tJSg4PDxM9sF4EYkCDeg/db6VoiWE\n89xK1sbHx2NpaSnLqTRVieifklgBRNU0oG2rgntpaSlu3bqV73p+fh43btyIT33qU6kS9+6crrVz\ncnKSdL5Ir2oKOAxrTp2zNesdVYkQmmGj5IgZSWvCMzG2NS9vrWA05FlnZ2fT+VdBnPlRfWL9irpF\njuZIVMpoW7PSfBGRKRtR7ZUrVwZ+d3R0NK5du5aHBdWGSsZOiZe5Mo/SSRrNAJT10CvASq09cFnb\nhdv35s6z11SeAEQ5sjXWaDRS9GmPVk3PxMRE1qo3Go1cO8aIc60dEzFHx8fH0W638/sv6lLcR6Mp\nz+B0S3oiAsynnnoqnn/++QQ57oOFxaRgXU5OTjK9BnTYh8CH96q5eWtBOsd9BV96wbCD7KXARIBl\nbLB09iA7ao3Pzs5mtVmr1Y5G4w3OAERE/Lf/9t/iX/yLfxEf/ehH4+1vf3v8pb/0l+KFF16In/7p\nn44/9+f+3MvxrK/odfv27expzwBChRUIcPA1L8/RnZ6exu7ubkb4GpZcuXIlN4QFFdGr12ao0JG1\nmQ1DF9FH9hGRNJroWHR1cHCQjrr29vddHJhngYwtcN9ThUccXd1QKEig4sqVK/k7ogLGGZA5Pj6O\np59+OoWUETEQVTE2NdIh8Ol2u0k3c+6MehUbel4RDVDhOy6WWlYxUi1Zk/IBtuq41Fwk1kTUXJt+\nRPSctXIo+c61tbUEkcbTcdEMG8DAKaMjIyJp+Urnenb6E6kJEYgI0FHUHL7+BTXi9NzWxdjYWOoB\nIvrisJouIH7jyNWGy40CFoAiYGoutNm1JiMi88VYA4JMkaNokIGPiNTV1LEDBtC+1bib11pui22Q\nP65nUnjua9euxe3btzM9AQSjyivgqvZE9IeNoN05OjrK9r3AUhWwWnO1OY5nqpqeg4ODTBHUzpQV\n3NmLaHiRa02VcIwidDZQ/t37SENWSl2KyLxw9J6Ho+QQK8AQodvLUgAO1lJdBRTWCgksQO3maF2z\nJ9hZc8CBW4dsPqBMaCxy94wAWqPRSGaOfootk54EWnd2duLs7Czm5uZyfoaHh2NqavZ1DwCeWAb4\nx//4H49r167FO9/5zvjBH/zBRPtf93VfF+985zu/+Kd8FS55HKdnEdM1Go08uAPVbeGJ5muUC40S\nhI2NjcWv//qvD4jyar7T39fW1jJKrG1nK41osaFray47ogcMtD+Vixbh7+3tDZzbLbKrSmMMB2ek\n2Y5ytYWFhRTtoHyPjo7ipZdeStoWYBARyfVyBiI10ZpIcmNjI5G6yAKIaTabsb29ndUIGJpasSDC\n4PiJOBlKxtf3mu+Ifh5zZmYmnQmnXqlKYxbR70DmHThD0SWhHSfimbWX7qH/VgIWPRAODw+zppix\nrHnxasAYmeXl5cwBR/Qo/na7HXfv3h2gXaVagIVK/TKIHCMnyFGr8DC26+vrA6DHc1XxpgjcvACw\nNefOIXs/e4Aj4Gg04bHmrbEq+uKYamRJaOc7nSmBNQNQ7R/PY6yss1q6GNEXlNo3cteofeBJFYhe\nEMAm0MQ5Olq60sQAqe8z74DP3t5erunz8/7ZGuZla2srnfH5+XlGpd1u7zQ6e886rK3B1dYDnw6e\nOjk5yT4e3W6/hwiQi1mr4+bPQDDVvncy9qquKojG/AGsQI9+HObVWqt9G6wnAMm7u28NFgDXehy4\nd61BEEFqTRdjcQVYdX0MDQ0NsDe7u7uZJuppBH6vHuq1u54IAH76p386c6cHB70T8G7cuBHNZjP+\nzb/5N6/GM37RF4d1+/btgTOuq7LcIhsdHU1jKW0QEdk9y+c45OXl5WxuURfL3Nxcbh5AgCOVg6yq\n84i+gtTm0Y3PIp+eno7t7e2MmP27CARlBZ3bKIxDVbheunQp++hTUI+Ojsbdu3czrWHjMFrj4+Mx\nPz+fte42C2NVS9uq2IhhJuAZHx/P6Loa7k6nExsbG2kY67iJthgYDqICrYsqYK1wqzFGEaJzaytW\nxlyUhInBCMkDHx8f52EowMzKysoABQ68MUxy7EALWpJ+g5OspUvSDrWOvAI+bMXCwkLS+OqnAQyR\nkLFhbL23A5vkTX3W8zj3QJ6X47K+GFPpGOm0KnLkjDjPZrOZjBBwVssRsTQEdhgDKaCq3bi4DpUw\niuA5wyq4VBpXBZbWkTG2BqxhDrC+7/n5eeosjMvVq1djc3Mz5ufno9vt5noBxip7drGpk/nC8nm+\n8fHxTC1wPNPT0wmcAMZ2ux0R/VbGgJnv88zHx8fJLLr//v5+OnhCQ+BVIGF8atMkQMC4VCZTqu/w\n8DDTCZX9IMLDxgLTug8SXptn+8v6BKQj+scwAyXAmf3rHf2b9SB4o7ehywAgaypXClZKgm+wvnxv\nBFD3+kcAT0wB/NIv/VL8yI/8SLz73e+O1dXV+Mt/+S/H8PBw/KE/9IdepUf84q/atpWz54yr0MTG\nh44rBXl0dBT3799PhxbRO4BmcXEx2u12jIz02rc6qIURZlBtZg690m3oPdGRuvVut5uRI8MwPT0d\nx8fHsbOzk5ER5yXKrbQio1fzoAx1s9nMqIXjnJqaykh8f38/e5rbcBGRoMN/h4eH8fTTT8f6+npW\nD9SNzgnViLeWmEUMNo4xHzUyYIw4MeOK3mWQPC9HMjs7G5cvX85zEziGykZwzKhThp/zco2MjGQ0\neHx8nE1LbPxqBDhwdLu1gE4X7dQI1u8TgBkb43zz5s1Ufss9Pnr0KCYmJgbug1rHhMzOziYNWiNg\nTAgwYS4ra8QQisQrI2WcRIrmyzNwOGhU6akKiqWVnGNQmxIp4zO2nKc9CQRfBCIzMzPZTbHb7eaJ\nfxGRa5BT9J7W29WrV+N3fud3BpyZSA+wnJycHCgxtTaGhoZic3Mz94lAwNqqde7SexGRYDCif+6B\n8bWepF44fMyMd/EeBK6cv3kVvQLUGA7zCbQLGFTGsJHYD/uRk6z6Fk7S/gY2BCbSABMTE3Hjxo24\nf/9+jqv+Ee6hCoqt8vtSFjWSN+8+x3GbU8ym/giChQrc7AtzV8sOBR0CNMwgDQDbJd3BrrRanQHB\n5at9vSwpgJ/92Z+Nj370oxERce3atfiFX/iF+NZv/dZ497vf/cU/4at0yXVub2/nprcR6uKqjk5U\nwWCj1K9cuZI99YEBkXi3243d3d2Ynp7OJiKVjiXaszihW/kym0eTnJGRkUTmnonhqXlD+eh6jLFF\nrc5Vflk3NREbQWGtk46IgbKdiH5/bEIcTpcBjOgfQFINcq0HZ1xQvNXxud/x8XHMz89HRF/oFzGo\nmq4CIEYPiFImeXZ2FrOzs7GxsZEbc2lpKaPdiYmJuHfvXrIBHL9Ir9vtJsjyXdVAVFra8zmRcGlp\nKQ4ODmJ7ezsNdW3FW6sjRIDWo3ysSJWyvJ6hzpBWit/PRLTe+eysf8BJNUZqzXUTrACt9pYgROUM\nFxYWYnd3N8eAA2i329mfoHZx04jpwYMHcfny5djd3c0cMaHnpUuXYn19fQBQAhBVnW4fRUSWrLqP\nOWg2m9lR7vHjxzE9PZ1lgQ8fPsxOkcbd+sUKuNDkQB+6GLtTc8ucgrUHVC8tLQ30oicgrsxWdSDe\nGUBiK7rd3lG1yjK73V43QyAGSyJqx9ZYb6LnCuIxmdYXAFlL2c7xvBiFAAAgAElEQVTOzmJtbS2W\nlpbyHJWDg4PURnjG8/N+e3PjIsAZHR3NyomJiYlot9vJGD569Cg6nU6yf4Ci/QvIuTy/Z2O3MWQE\n0Jx67RaoBBQwqoDdeq+6npr/F1zVNXd+fp5HPQuchoeHc69Vjdfr+XoiAJCTc1Wq7I1yPXr0KOkl\nNdKEI9CgqCei3yWw1Wql0dLQ4+rVq/GJT3wiu9ndunVrAO1G9B1dRAwg7Or8OFYRaVVmc87EUWhE\n6L+yAmNjY0nn2nhDQ0N5sE8to9nd3U1q3vcsLi6mkdClS/ex6lgBkpr/EiFaD7Uhks8qHYK+19bW\nBmhkm9p9fbcIF6iqOVOgSr5N9KDFZ41iRBGc28OHD5Mqr9UK9VQ1oIiDGB8fT/Uy8HB4eBh3795N\nQydiPz09zaYqBJXmz2fkZSMiI7/qtLEAfmdzczMdFYM6MzOTKQAg1hpQ1nR8fJyUe42cai957Ahd\nCeeGURkaGoqlpaU4P+911dva2kojD4zJfXonbWuxaRGRlDPGyvHFUnG1aVFVvlsTKhtmZ2cHFNnK\nJBcWFmJ8fDw+8YlP5HG79CWtVit2d3fz4CEOpJYnGsOISLaw1Wols2Hu5PHZCNHhysrKQJqP3amU\nNNGYvSWCtGeNjSOlNUGqIkt2zHG2NSLHEkhzsiuAuneuETMwCdx4NyCp3W7H3NxcrK2tpaiVrsbf\nAVysnL3P3qDRaSUwHwSRk5OTsbW1laBxYWEhIiI2NzcjInKd0WvVMkyqfIBufX19QGOF2cAsRUQe\nr1w1MexJjeLd3/gDxdKt1oDnBk6UTr4RriemAB48eBAf+tCH4uDgIJ5//vn4x//4H8c3fMM3xDPP\nPPMqPeIXf/3O7/zOQA6snktfu2VZCAQhFrYFuLe3l1Hj7u5uTjwqGs1kU9YcnnyVTVmFSFAvFT+w\nIRLgIC0sm4lo0MUAMzjYAlEiICBqOjk5yZ7eNjAhGKe+tLT0uwKampednJyMpaWl2N7eTiqMcwEe\nbAwNUvb29gbyjJ4brVrptYj+aYk0AxyhaKGmQR4/fjxwYImx0+DF6ZaMuc3MqEnjWA8EXuahOoCR\nkZGMzqanpxPIKSsCOKwFz1sdACpVikhUpQxtYmIi5ufnU3/hCOXabjUi0vhX6lqUXo2ZNb+zszPQ\niEnkCihIx+j/4L0ZVABJROWkOUC1OsT5+fm8rxI8URY6mvDx0qVLA4LUiH4VgzmtQkNAVYWK/Q0o\ncqLWAuDBqQgMjo6O4s1vfnPcvn07Ux4ctCjd80p1oJHpg1wYIewFoOh5auVN1ev4OZaQ2BQgFqUD\n5oCCSNr8eTbAvVbN+HdjcHp6mtUqUp+YzbOzs9ja2soufgATipx9ZOc4Xg4acPJneoabN2/G3bt3\nY2ZmJjY2NhL4rqysZGdBoEZffd/B/lVgD4hi3Dh86SUgx15YXl7Ov1sz5oJNMBfAkXJJ7yN4865S\nafbSl0QZ4Dd8wzfE5cuX45Of/GTs7+/HN33TN8V3fud3vlzP+Kpcq6urGfmenZ1lJKjkDpVsw5tM\nxrTRaCS14z7+3X8QPKp4dLTXqQ3dKVddaUwOBkImJqyiGz8XdapYiOidUWADqsGtpVIARG2wURW0\nolHGRcQpBSH69n+GBHVd1bM3btyIO3fuZATe7fZKbaqTqk1lOCFGvrYptblEkp6Zw0RzMgrGVDRs\nfmo5IQEi46v7W0QMGBKMSs3vojgZ8Vrx0el0Ym9vLw80qo629g2IiFQZM17VOVXaPSJSkFQFbIuL\ni/HZz34230n0yfAQlnG6tTNiPbGQcUUbYy5oVQAwINPYMnZnZ72Spyr2q+kR3wkIdLvdWFtby3XG\nsdUqD+vQGKpKAWaMtzGrLI7I2p4CyDEbNYVDsyDHXvfh6Oho3Lx5MzUAcvOYO/9mnDjUyuqhmq1b\nwIMOwBzRkBCUmb+IyCNv1fTX+awgf2xsLBkweX97nVOqmoCIXqDTarUGWB7Rs/eozAa2CtitgJJD\n1CiMnsa7eHbr3748OjqK69evx6c//ekB8HB6ehoPHjyI8fHxTDNZK/aRea99Luq71RNWL126FFNT\nUwmOgJvFxcVkFZUeAkGdTifBD4bD2r6Y+rgowLaPzc8bQQPwRADgZVdWVuKpp56KsbGxuHfvXly9\nevXles5X/PrN3/zNpOkZtMePH8f8/HyMjIxk+Uqj0Rjo3y0ygKgPDw/j5s2baTR3d3ez+5a8JTpY\n2ZBIvNZHW1Docrl9hqCqjms+SsTcW1ytdMoR/ejZxXhNT08nU8HhiUTk5jxTVY7XsarVCBVxV2N0\n48aN+MxnPpORH+DhsyJb7xsx2IgGEBB5c96iJODD8xNF+rPIxruja09Pe011KO2BASACfRjRF9v5\nPsZN1KH8syq1leh5PwagCpBq9YNI4qIokoOKiFSy+x1U9c2bN+Oll17KMeWUI3qVHChdAFedtYjO\nnDLM1t3w8HBcu3YtNSMAJYAMCAGhVPu1V4PnlsOvjrtGoRwIp6pN7uHh4QCA5RiqULeCvsqomBP5\nYs5B45rh4V5jJo7Lf6enp9HpdNKRdbu9+nROqIrDRJYXhZFVIOmY7ItHB5t3+6gCJ6km7+vUud3d\n3WS8OGqAyO/R/BhT9+Q0IyLnHQtl3wt0ABXUOiADlFk7KoYAp263X6pawax95T51zx8f95uYXbt2\nLT772c8OnOfBaaPmXdZSbQjFtlQRcRWd1vJH7IB5xkr63howVbCDFTLG1jO75H1nZmai3W5nifnh\n4WF0Op24dOm1PRHwZREB/tAP/VD8yq/8SqysrAz8+4c//OHf/5O9yheDqB6X8djb24uFhYUUj7nQ\n//KOnN3x8XEKfYh6jo6O4tOf/nTSnQx3NXycEWNmQzOKVdyCuqxgJKLX7EdEU4/RrbRWo9FIGs6/\n1XK8quxGi8uVo+UJH0WE8nRDQ72+8hoS2YQMtvepYjp5QE4EqmYI0Nr379/PZ7T5IiK/03wxJqg9\nwIwRxk5sb2+n5uDSpUtx7969gegV5UrUQzjkXTnR2sqX8pthGxsby8hC5M6hikwvsgruU/PstSEP\n4wocii70nojoH6Rj3kRdyuoAKN8PBImijJmIJaJ3/O3t27eTvQFUK2Pkud2f6EmPjAoYvXdEP48f\nETnudTwqs6ABkPU5NDSUNdVAq/fhkKX0zEntxImWf/ToUTpCFPT4+HjcuHEjzs97pxFGxEBDJEHB\n7OxsagrOzs5yHmonSuwbloUzdA6A77fXqwjQO0tBVjZPiaZAxPo1B/QPHBdKWtVPBZfSM0AC+1JT\njBXA1vlkHyL6PSRqVQTwUFN5wIyW6zpj1soDrI91Ust4m81mnsegGVZdTwI0Z61UBoWWB/iyHghc\nlTfTJADZFyuO7CNMCvYH6PE8WCv2WIpmdvb1Xwb4RADw8Y9/PP7Df/gPA2rvN9q1vLyclK8yOs0m\nULsMsIUgApDrNtEPHjyIxcXFGBsby4YsEX3xnigZMrWYIU70FENR+15X2pXRZYQAlqmpqZiamkpK\ny8KWNxTRVZRrU3ku6mwR8MHBQTYw4bBrjt1GtHnUSNsUNqcNUwEQ1TJQsL+/n6evyXFH9BvIYFI4\nEmyLDcnQ1LSKZzOvygBrKaZGT1WvgXI2TyJuhp4z9r3mBQPAyHOmxn5kZCQ6nU6mG0R+cqC+MyJS\nwBjRZ2a8U0RkBKHvgGNt9/f3B0CDLnEikNp90DpSycJQchIXqydoGeSYT09PB7r5VbaCU3dP6wEw\nqB3Z7JFaxmUviMZFvijkmg6rKRzgmUOrAkyCx6q9MRZHR0c5bo4hjoisiKjvYF1gj6r2wDtam/v7\n+zE9PR3z8/OxsbGRoG1kZCTm5+fj8ePHqbdQPupcB+8YEalfYHcAoohIEG1/Av/YIMJAGhEVC1Xg\niImsfRCI8jjKiEiKfHR0NHtBAG/uzbZUXQQ7YE1vbW3FpUuXkmrXWtrnNOihLaltvLe3t/PebKfn\ns0ero2ZbsRDW0MTEROodpDN9Dliq7BWQxi5VUKUcUGrJulAmeXR0FNeuXfs/+/f1L5Z/IgBYWVnJ\nzf5GvVCVDF673Y7Nzc2BUj55IAbLxFcHQyUqIh4eHo63vvWtEdHvuy0/yJExQBxGVb2Pjw+2a5V3\nVle9t7eXx3KK4KmAq16hqoEjIkFBFdFVhqAKzDjT7e3tpIHdU+RBUMfw+bN713JEv8tIM16tVitz\nz869R5lyNhWUMeoYBu9WQczwcK89qOhEpz3IHvPD8dr0dRxqL4YqljOGGADsQDWq+/v72eyEeA3V\nWZXKWA8GyjiIuLAyjJaokLNWghbRi6TsR88aEdmHXuR/UW2uFMrcMLIir+oERJtV60H8VCM9DrAy\nRvWewBcqv9VqJTAgOtVzwpzVXD+a3joT+WJxRG72bU1RqaI4PT3NNsmEvPYIdk/ffu8ltWZtWAOc\nkPVjPqUfsA1Ee3p6rK2tpfOquWhguqbAzCemTxkj5bo54Ag9+/n5+UDLa0BQhC29QzNQS55VRlnX\ngLMx839OkXbCfqyRu/GvEbN1e1H7UcWw9ClVcFkZA82uHIxU8/Ccs+ezPthr41ZbGWNbq/iVSLRW\nc9lngitz43N1HqR/XnzxxWg0GtFuL0fEa6cB+L1cTwQA09PT8c3f/M3xR//oHx3IzfzDf/gPX9EH\nezkvFM35ea9z1+bmZhqamnOHcGsui+Gy6d0PVec/NcMRkWgeXaQGWaTOkYhMgYNms5mRqnvoKeBe\nFnvtIeCetc0nQ+KdIiIROIMI3ECyojwOTX7b9zCotb5WtB4R+Z21zppDoOLn8GxGeWURxvn5+edU\nQHBGtUwJhcmgMTo2KyChSgJIsXnX19czGhLVEGE+fPgwWq3WAGXOKRLnoVNFmcPDvTLLlZWVWFtb\nGzhTgfCxtmo2TpglEa3ce01LnJycRKfTiYieIQXuRkZGcm0xoiJPc2R9S9fs7OzkewO/F9Xo1jGa\n3nNy7ECwiNp4Aw9VKMZpo0Wtd86TgwDQVaZYW9gWTFGlsStF67vGxsYSJKHipe4mJiYSdBp/kWHd\nU/a6fLv5qOzd+fl50v5SGZUxwTRITxl/44Eir4cNRfTPVhB0uJcyTWV4Ozs7MTs7m79f6/SBTICA\nToQdqLoBwFpqr+pgms1mHmmu4+Xh4WG0Wq0YGhpKxqa2UK9jABhE9JlQNiGiBySwcdYrsWQtXz45\nOYn19fUYHx/Pd/H89ojx891EuaOjoxk0ScHRLjx69ChmZ2djZGQkT1dl42tJbAXr1oSxww7WNChw\n9SXBADz77LPx7LPPDqCh11LY8Pu5Go1Gtu1dW1tLg8iBcAJoaQj99PQ0D/U4Pu7VyffEHb0IfHNz\nM9bX11PFPzs7mwajKvrX1tbS0Voccr8WU43yGRQRRURkG+CIGMg3QfEcMWfitDHOFToXyUb0Ffgc\nJUPugA5KZepth15ITwAJjLjNEBFJz4ueONGJiYmM9lDwqOHHjx+nwEzerSqqARN/r/25HZTkBEG5\nvYh+vlZEyoGK8KiB1ayLDs0Zas98VqAjgnDg00svvRQRfRU/BgBgrAYW0KwCTgBFpLu/vz8gwhob\nG0s9yNBQ70z4iEhgJQ8tKvdnTbA8p+cZGRnJuTXWIurZ2dkcE3l488OomscKXrBKnBDHs7u7m0yH\ntVbZI2D2ypUrGdESX9oXHJO1ARBp/KM756NHj7JvgEiYzkU0z6nNz88nExER6biBG+BQigxYJtbk\n5KQK5McB1i/7si+Lzc3NAfU8YFZ1Adgwe8f+AJLpApzox+noCxIRCeYFHjWnjl3ybAAgGyDlNzLS\na3gmGNDGmtARkNH5k+2pc2Rs2Errr6ZHpTe8u3E7PDzM7o1sFnZVukXwwOZUBgqLy/YLtux3wYwu\nlAITDEAt1zam9mtNOUgZV+EiVsB7v96vJwKAP//n/3zcvn07fvu3fzve9ra3xYMHDz5HEPh6vyBB\nmxzNxEFMTU2l44euRSnQJaHU+vp6zM3NJfpFHY2OjuYxogwZxS9HWXOZIgmG0yKbnZ1NUMEpdDqd\n2NraSkDg5LTqBGuOa3R0NBkHi/1ihMYJVLFide7QsfrvGolwHPLKxvEig+J9GTbMwM7OTtLOIyMj\n8eDBg1hYWIhOp5OATJRUKWYb/dKlSzE3N5cNetDkEf3ad4wBtobQbn19faAUTlQvqmMogUKMi4hH\ndIY2vHz5crRarTxZjjaBUSdYxPIwkChZqRaOBliIiGRctDGOiBRlifxFXdYA6hmYZPTNcX1XAEG0\n6Wda1j569Cja7Xasrq6mc5QH5RCqkBUTUVXvflbTYMYH5SufCnCi7617kW+ds4jIqLvb7cbW1lZG\nZf4MgBwfHw/0aLB3RJ137tyJmZmZvK8olNKd0+JUdcPD3nAIHCahMXr9t37rt/LnwAfngV1otVrJ\n9tWSvna7HVtbW8mQGOdaAVJLf6u2AjjWhElFi/HXt0PnRs94eHiYja8qu9JoNHLe2+12Rv21uqO2\nULdW3EP0bB4ASL9jHWJqKzvrOV21WyRbQ1wsfefn/o09aDZ7J2uura0lKKc3qicYAh3GcWhoKDY2\nNgZ8iz4Htdsqpq/T+RIQAf77f//v45//838eBwcH8ZGPfCS+/du/Pb7/+78/vuVbvuXVeL6X5To7\n67WFPT/vtdm1iVGGEZFGrwqw5ufn04jYiPrF7+3txeXLl+Mrv/Irkwa2KGuHPnlh1JiGE4wkJ85Y\nir4ZSkyDUwJRWVNTU1kPy3lzzlC0CAa9S/xDlS8VIuKs3eiIcKo6dnFxMdupMjq1XbD3dca7Epya\n+6Q90OYTCJJHNf6EUhcNgbz4+vp6AhPRBsMuHSLKPT8/T+OqNIzhpcMQcaGHLxo14Kjb7WZkLEXS\n7XYzTSQ6r2rl2vq3CpU8GwPrGdDGNV86MzOT69lYYTMYWUyKaBojJLKbnp5OUDA5OZl0uAhNNMiR\nTkxM5JxKo2EsUOxVD2JuKnNjrdlHaNOzs7O4f/9+dDqdBKGTk5MJNvy8smJVJU+fAnSp+oiImJub\nizt37gxUjpgT9L55Fo2KCCP651LUiHVoqFcZsLW1FUNDQ6mZ6HQ6sba2lq3GMSoR/cOxIvrCOMCx\nivI6nc6AjoBo0xoCqtWky9Hr+bC4uJjnKOjnUYMc4F0Xxa2trQT6NVquOojt7e0U59VLQLGzs5NV\nN7WyyTpj14xTpcrZXOmMKsC2hrxbt9tNQS1Qaa9glzCZ1pbgptrghYWF2N/fT9tIX7W1tZWshvMj\ngAmgE4hUFeVZrAnBhT/3yz1/nw7rVbyeCAB+6qd+Kj7ykY/Ed33Xd8X8/Hz863/9r+Mv/IW/8IYC\nABF98RRq3uaKiOyrbQE5QCYiEtVT7KK7L/YIEL3LYTpi10LUhU7jD5GcqFOumypf1MtpbG5uZsS8\nt7eXjhGylQM7PT0dKJ2CeKth3t3dTaqe0xE5RESmQowXJ7e3t5dnctfaXoi+iooY1Lm5uXwP9C9j\njtqLiLh//34aS3MyPj4eV65ciUePHqVxFdlQr3OgwAvjDRQRgV3M54m6GQUR6EWjXTUCRJqYiErX\nPnjwIPOL0i8iboCqKtkrJVlpcOJETr2qySMiDasI5/DwMM8eqFUlnPLw8HAe9+o9GFj3OTo6ivn5\n+YGUDbFes9mMq1evZgmoMZHi8BlrwMXBAWQMtIoDVR7WQa3g0LlNZCqSkwev662m6sz53bt3BwRz\nEX29xeho7/REVUHn5+eZ5qqpsQpsRL1DQ0MJFu0JDMzo6GiWDO7s7MT09HSedgdMYRmtPU6a2h1Q\nl6o6ODjIhjiXLl3K9sm1219EZOMugLWyeRwiwFCjc+wMwam1UU+bxCjVplxVo+I5pRClEgBEgFFa\n0p8jeiADm3l01D8yuzJH9kIVpfpucy/wIsjVAGh8vHd40sbGRrImSoSlCgEgY4m2r+9WS06Pjo5i\namoqRX/SZbWTal+P9AW7qVf9eiIAgMxdCwsL6SjeKJcNUBG9vvEUuyZ3d3c366uVXjWbzczBo4bQ\n/ihaGw26lXdFR52fn2fEbaPZHDYWuhYytok9P2UrBMyx16gN3UxbwAjYjBH90i0UJ6q7CgIpkM/P\nz+Pq1aspLPOZiEiVOYcpgqwU5PHx8UBXr5pu2N3dTXQviq9RXURkJ0LPRXjnXf07elHUA2RQ/0L5\nxoAzx9AQInG25sN7MAxoe2zM+XmvrahUDOYB9VhV9JiimvtnMGpZUwUhu7u7MT8/n0wA1sF7Hh8f\np8qcPgCFXku0OKqhoaFMcRHFccjyq/Pz85lGOD09jZdeeikBnPVvbahV9x6eM6IPoABD+8z6nZmZ\nScpen/ejo35PeyxGpdNrSo3DEaFH9JgSB1Zpo4yS5yju3bsXJye9nvM16q0i3uoUqsNRMcRhiz45\nXxqB4+PekdGifesJ6MXc2D9jY2PJ0tXKAGPK+XM6bA9HhEFgay4ySnLS9VAj7wEIY8Q8r+BCpYFK\nEkGKe2Em2CR2R0DlflXnZFxr+qnuFXvJ91oXGFZpLxoZ+8VacK6JNAnxcwVpmEGgSfWOca/PjM2U\naiGQrWWuNC1SB18SDMCb3vSm+PCHPxwnJyfxv//3/46f+ZmfiT/wB/7Aq/FsL9sl2oGi5W1OTk6y\nZnZqaio3jdw5UDA83DurenNzM42LjfLiiy+mU4mIAefMsWIUqmCFYYyIdGx+r/7H+VOV0yPIf6Ku\nav8A97OQK9iA6oeGhhIVo0jlq0VdnU4nNjc34969e7nJIHPClxqRiZxqeYyyK++hrEmTFAAlol++\niAJGs9tg3o0TqIJAIIABAor06WcAlDxezIPTM0T0u9fVKLrb7aahk0YBKO7evRvj4+Oxvb2dkQzn\nUA0het59rTHMkgiRJuThw4cDndwieuwMMEq8aD1iOOS7HRLlHUX21juQWFmp4eHh2NzcTOdqTCv1\nvr29PVBhocIDYLKmq/6krkmGmdaFnkYjn4cPH+ZBTxF9oy5VZF96ZhoCJat171ibxF36Jayvr+c6\n4egv9gGoQN13YZdq+ah9TDAn3UgzY+wBHH38q2DOHJsjKT1OEsCoFLT8NWAQEQncgScNeMyPvW9s\nBC7YJKBCWtK/swkPHz5Mhg8LR1dgjfudCt7oJiYnJwfSL/Ye4eXZ2VlG6IIUgMVYAkQOPKtzAED5\nO3s9OjqaaSzVTuPj4/lzVSAAun1b0xbsgGfCINgnY2NjmQ7q2duXxX29otcTAcAP/MAPxIc+9KEY\nGxuLv/t3/258/dd/fbzvfe97NZ7tZbtQ59CuzYAerkIzUfjBwUEsLi6m2GdycjI6nU4aMKcBqgqw\niKBjmxO9Vo8n5YShzOq4K9XJickrEuVBxzU/yDiLCnd2djLnWlW5qN3h4eGMwPb29rLcTKQzPT0d\n9+7dS6dJQCPHuLm5mYatXjaDzVHFjMqURLGXL1+Ora2tiOi3v/X8HCHAERGZN680eAU+tfZYo5yj\no6NkU+Sya9UBZ+u7GUsGgPGIiBw7VCJAA8CgeukrvDsjbX4ZkFqqJ284NTWVDhnbYP1FxEC5JMcu\nErd2dKh0L0yNVAdmZmJiIjY2NjKyYWQj+jnr8fHxgS6GNUKSLgAO6x7ikH0PAEqgpzMd4VY12PYN\ndoizv1j1ghI2pjWlwIlTjgOkDrahpbE2gE/zDFzVyg0sGwdmfW9ubiZQA4o4Yu2jjbkoNyIGej3U\nVJH1yaYoNQYK6/5Sey7NVUELJqimj+wXTk006xAzc8A2eQ7zV8e3CuuqxkIaw/qwHi6mXoeGhmJ+\nfj5WV1cHqgw4Z6Be23OKe3uOcxaJAyHEfbOzs7Gzs5O2wtpstVrx4MGD/Lv9ZyyBHfuADTC+0r/e\nEeDCzgoa3wjXE5/y8uXL8f3f//2vxrO8YhdBGSPHOdZ8vhrkapgi+lGpaO/4+DiuX78eEb3ym6tX\nr6YwTN5XzsoisinPz88H2AcGs9FopLjQ5zhJG83mPzo6SjBRa5tF4xVQ1NP2GO4aTTUajYEoD4CJ\n6LdD9v2in3rYDEDBwIh+GRU0u42iOmFmZuZz6v4BEc4Yw6DPfo1y6qYVkRk79+WUOfna4x6lS/ld\nNRjmyjhGRDoYTsrcUWtjRvw++hGYqKkejozDtK4YRhG2OVLqVBvYMMrALIMpkquRNsMJMOjKVhXR\n7hcRuQbMiz0hqjOPtBRSNQy/e3hfzwVQoOOxSJgUgKjmfoGW6hgiIserVj4wvhTZ3oljQrNvbGwk\nkPEd0hueX0TOJlQNQGXQ9vb2EmgAPLowelcR/UUwYp3V/PKjR49iamoq5ubmsizTd0tlzc3NxfDw\ncNy9e3fALtVUZi0hlbqyX70PGzE8PJwCVqwSG1H7Q0gpATIAj6ZJ9hFH6Xd9h8/U6Hx4eDirDbCZ\nExMTeU/6HGtZkELsaQ3V0sShof5poRhEqdyRkZEB8SKGTWBRdWDGvdo/QNjzY9+AEYxP/1Ckl8F5\nvcLXEwHA70b3LywsxHPPPfeKPNArcV2k8UT1DIYcdbfbKyc6PT2NmZmZbCEpApBje/z4cQrpRN21\nzhUCZPTUtFaxlJ9HxIDTZRiq4KwCi8nJydjZ2UlGoG7KiMiIggiL8EquFcUmEqigA00GkHiXWv5X\n9QSMgg1R0S9QEDHoVKanp1N81el0EkBUdTPH6R08E5qwMiC1JzunpcxQfbc8YqPRO0/dvJpz88BR\n1pamHHhEn0aWK5SWQYOiVP2enPv5eb/kDXjwHlUDwrnLiwKicqHWChrf8a1nZ2cDpxHW3CZqszIc\nonKsRAVR0jL6QWAjjJ+otKapOJ2a+zVm1sz09PQAmLt8+XKK5IzPo0ePsmOcdxMZGzORoXt739nZ\n2fxdQNt8Ag6np6d51HMFsfa3NIv5A+xqesR6B/jMZ6W+OSqfq3McEelosUV1/zx69CgdDWYPXX96\neprUPAaj2WwmoDbWvkveH+glLlaBJDgQaEhZem72yLwCnHK6C38AACAASURBVAsLC7G5uTkgHvSc\nANLs7Gw0Go3Y2NgYCE44c/vJ3qt9AJTSsSEXq3SwQFVPYN6wpdKZJycn2e+BSh+gX1hYSKaksq/G\nCdMCzIyMjOTcAl6VefL+gpA3wvVEAPCpT30q/3xychK//Mu/HP/rf/2vV/ShXu6LYajoTc7t8PAw\nS/Qsxo2NjTwYZ25uLp2vMh0oEhWOXpqdnU0D2263M6emnC8iUk0b0evvDjxUlqDm+in5oV1NMCqd\nRkB0cnKSoqyaVojosSCLi4tZS0s4VgV1nIQcM0dYIy4oXbUEpx/RM2DQdq1bl3fj3Blf9H89GEbe\nlxIasvc57yQfWvs62LzU+JgIrEKz2eu+NjMzE48ePUpjDZjJvVYBITEaB+W+7XY7HUNExN27d/OZ\ngUKCsdXV1by3CNgz1aiQ0WVYOeXNzc2k5jEr5hvFHxEJklDbIjLAyDrVlZBx92+MNCbGuKL5CQOH\nhnplcMpprR95W2vPnxldgHZnZycFkoBLRF9sB2zam9URV2GlufIdKN/q1GuajcHGZBjroaGhjIIj\nYqBZVhX3chxVBMvJnp6eRqvVGjiExrkGbEsF1sYV2BMEOEGU2LKmoBqNRgYTtRHTnTt3MoVmT7JV\nyl4BSetGKsFzWWvYs5qSsnfopTY3N+P8/DxTN2NjY7kPRe0YxyoKriDJu1Zdx/7+fqZZ2WKsoSqD\nbrebe8U6Mwfm1BwNDw9n7xfiVmCA1sj4X8ztewZzDAhryTw+Pp52GSC2R63HN8L1BSUqRkZG4s/+\n2T8bH/rQh16p53lFLhQwZAuJUglTDKNdRY9LS0uZ87ly5UpsbGzE4uJiGs6zs7OBXvMV9dt8HBs0\nK9pBHdlADJn6bHXFOzs72ZhHxG6xUeDanByCHP75+XmKnWwIi7waRQri2sSCAMbmdjjI0tJSdLvd\nbD2KCo6I3ABbW1v5PqhuDoGqmPFVjwtcQPrGlfEVZaKjNUyRupBGwEygEldWVmJ1dTXBzPHxcdy6\ndSsmJyczskb1ipZnZmYyz9jt9somqbutERGAnK38rfKssbGx2NzczPVUc58MMm0KZ+sz1QBaf/7O\nQGN1rGsRD6AhYmfYdnZ28mQ2DBKmBYjzXaorGNuDg4O4fft2lnT6+erqao4ffYHIVPvYWv7JEdac\nO2OsBwRH6AQ6udlKhwOG1nAVlXHiVf9ysXGTORAtei7ruJ6yWUWpVe+C1QAeHCG8tbWVNkZ1iL3u\ne6XF2B9gZ3R0NMFpFdm5p7H1TI1GI+bm5mJjYyOFnZwvVkT6DwsAdJsbdk/AA7B4xs3NzVwj1il2\nsja8qimbiEhNAVDoc34e0W/A5jPtdjtTHRF9IFZ7ItBfcfjYAHbe71QG5eTkJFt7S8+dnJykXagM\nF/u9sLAQEb0SS7owwVZlZNiD2p9FcPUlIQL8hV/4hfzz+fl5fPrTn05E+ka5Tk9PY25uLnZ3d1OF\nrkGERUTQ8/jx42i1WuloGEL57YiIdrsde3t7cevWrXj66acz8qqNVeTRIF7/R282m80BtI++iojs\nRlhznDZzVf47pUtv67Ozs0So0hXKVKBcoMFGj4jM82luJL89Ojoa6+vrsby8PNBJ7ejoKF566aXU\nGFDPy4lWwYwogEIb9ctwG0sbWSTfaDQyXeBeVQcgV1cpRZExBL+8vJypGQyEiAPjwuhZAxw6R44a\nZQSUgokUABsUJl0FY1VBS00l+O5Go5F15MaoiqY4DykL60W9tfWAmQEUVXhYm6J5AJPDF1Vpnazr\nHlCwv78fs7OzGUWJQrEGGKV2u51zwJHXvK9cvjLFVqsVm5ubuS5HR0dT5wAEbW9vpyO0p6RaAICJ\niYlMdxwe9k771KyHmlzTKcLFTqeTe50Dss8iYsBpEQk74S8iBgIJYyC91Gq1Ym9vL46Pj5PqFymj\n7ukequhQRI3Kj4iB1CS7AKzY2xgYgkApFmV6Sp0B8ppyULbImV+6dCm2trbyXlJG8/PzWToqstU7\ngRi2prO63V6PE+XU0jn2+UV2xV5nD7WrFozoRWLM2IPaQGh6ejrX5cHBQezt7eXfaxpD6sy9a3q3\n6h7YUWBckEDjBFx4ZxUlSr0ro/R6vp4IAP77f//vAy8yOzsbP/7jP/6KPtTLfVmQjUYjoz851tpo\npOaBatRpkWxvb8fW1lZ2Get2eyVglUonyBOx1OiNOERfd/XUEZFRjmhAVFdp/ohINM8YcbpjY2O5\nUVBXte4dLTY9PZ1GWW7u6OgoO7ZVodrIyEgsLi6m8OaiQef4Gc75+fl0CBwpmg5TgWaWy675XoyB\n78FKmAfUq7mqSl0o3ntNTEzErVu3Bt6ttnCtkYh3reVkImmO17NW5qTOT10/aG0Gh24DWyL69a6P\nHz/OZlTmCm0PYNUUEqaCI1FvXhX68p/eVVczpyXWSB8zA2x5b8K4qkx3/5OTk0yvVBFtBU6U6lIR\nnNDQ0FCsra0lOyRCrz38m81mtFqtXPcXyxdFeEDN2tpaOpdOp5O57eHh4ewaubS0FI8fP461tbWs\nJSeqPS/hmlw8TVDNjxMS0szUpkbyv9avgIODBsZFocYJm1hLRwEBqcWq8cHeSGHVqho6C/dxz8eP\nH2fNvJa3hNAcmHXW6XSyV0Kr1cp1JD05MjISu7u7qeWoZXOe0RyxmxGR86M74PT0dALzev6I5jsC\nIIGYKFtaAZPEZt67d29AG7CxsZEgAVOIDbW/pAKlZjQmAoprxQTgXMHixdSG8ahs0ev5eiIA+OAH\nP/hqPMcretW8js0tkuKQdOcSyTDCamAh2DrxtdSJ+nN9fT0iYiBiJl6jbo2IzLtVNTy61WavghJ5\n8ojIVrTqpm1uG0PETVQX0a/Rp4e4GHGJ3C12IKYaKM7T2HCiwIiaWhEaWi0iEmGryOh0OnHr1q3Y\n2tpKJzg2NpZR/9HRUbIDjFtlAqqh5KQ4YPPqPSIiIx1GTnpDpGGMCcimpqYSdAAgxs1VFeiMGcU0\nil76oAqlGA2irpGRkWz1e3R0lOkc48wwRfSMqCjTWuIw5SWbzWaCMaIxSvGavqpCRPn2w8PDdAwU\n9ZgaTurw8DAdsagNm8DhyyNHRDp9YBili6Z+/PhxLCwsZPRZy+6I5ew10b37yh1XXUAt8/O98/Pz\nCcrk3qWeGG8gALjz2Yj+SZq1XLY2f9rb24tr164l46TiggAVfQ5AskUcHU2AZ2Yzjo/7/fRrW1+p\nC3sQ6PHvNadNvCqVqJKDoxbA+CwKm+2sLJ4GPBVAG2v7xzyYo4jIVIPSVPdmR+0L44Dt63Q6cXBw\nkDoRz0lnY53USgJMz+XLl1MULAhTwuedpGMxg9ZcRKSfYFcj+oeOAR+1B4ZUKps8O/v6zwE8EQD8\niT/xJwbEZPVqNBrxn/7Tf3pFHuzlvLrdXq924ig0JnrPJpRbRgkSf0kTXLt2LRYXF1Np/5nPfGaA\nYrdBbeiJiYlc7D7DQaH9K1pEJ9sQEZHqeYte+gLFKFcXEXkwibxiRL+vOWq33W4ntVopQQYqorcx\n2+12PHz4MKmzShl7z2okIvo16hF9ZCwfKZ+7sbERS0tLsb6+nk4KCKulipw4lsR3MYg1WqpoW8fC\nmjaxeTkqDIpyMEbAc1sTnisi8r3Nt/1gXnR8qw2SfjeDKaqrymraDO8EaIiYfMb3PXz4MJ0qx24t\nYKaAMRGdiB8L5ftFaQAPoMexo3prQ5QqksRmoKY5l5qP9xniL82xhoZ6J8rNzs7GZz/72XwfTtM7\n6tCIBRD12kuNRiNPjjOO9TTA2dnZ2NraGmgtPDQ0lO2ApYOsAfMCzNYUWq2AqNHopUuXcl6MQe2Q\nh6lDQV++fDmBoZSc4ETnSnbAOhQgYHwwdhGRZZCoaWAAyKzROYfH2Q4P90qjZ2ZmotFoZHQvZYGd\nqvNcAZLUAw1MTf+xabQNp6enyQhYb55rd3c3JiYmYmdnJyJ6ZzoIfMyZ569izsoUKOEkkNzc3MwU\nx9raWtoT5wgAm+xQ1fWwW2wR9hUbgCWr1QE13fIloQF4xzveERMTE/Ft3/ZtMTw8HP/u3/27+PVf\n//V43/ve97uCgtfjJafN6Fv4W1tb0W63B2qZ0dM1UueANGaxYZvN3gE5yr0iIulZh/fUxVTReETk\nBgZKAC15RY1ORAARkeI2QMF9Gb4apddo2WcwBTaNKN/9GAr5evlNJ+hxju5f1wAdhQ1g7BmJoaGh\nmJuby1w3gxgRmZoQPZqjqsGI6NczVxEOPUVE5PuKgIwJoZmr2WxmbhYg8zv+zbtIdURE5neJCr3/\n6elpLCwsxMnJSWxtbWXHOVUb3qd2qjs9PU0wI7dYc5XGpdFoDDRMIkiqKm+iTGuWMR4bG0shmAjH\nz6vYSyc+hkya7OzsLJs/WasVVKGF7S1g0Nr3nJxYrVZhRInhagUMlkDkL5VCN2GvAQvYFaCaGOzk\npNftU3pOdG+ex8bGsjMlkOY+0j41AqTzcUqi1AcQWUWVaGr7AtDWEAtAA0yVY4qogS172rxh0oBU\n2g+ivLOzsyyhrKJkVTBAljQRNlSKAJAEVlReVPaidv4zDxhJ48dGKMEbGRnJaoqIPjNUmTZrh32u\ngOX4+DhTWACyvWJvVaEoYMJJY0ncUyooog/kq/hT8ATUVbZESbU5pjXBsjrk6vV+PREAPPfccwNC\nwHe/+93xcz/3czE3N/eKPtjLeTGU0DyHz3BVlTFEWBGvaDmi34ud4yGqQu+Pj49n/hCQ2NnZyajA\nZrGACXsqBVeFTyoDKnUr312NbG2JadETyDCOnr867yowq2pfQEXbVAaAEQcqOMuIPtBirJSzccq+\n4+TkJObn57O8rVKe1NBYl1p+VQ2/764sBBGe73aYys2bN3McpWIc1FSdKUMkumA8jZVx9J3Epc5L\n13RG5M6AWneAiN+1Rrwvqt+aMGbVkNSSqsPDwxQdmVNjT8/gWa1NTta8cxhoU05pamoq7t+/n+OB\nwRE1RfTAmJMraxUFdgsjxLhjqE5PTwc6KFYxl/mjfwD0KgvC6HPytVeCPSsCBmI4O/sDe4Bmxk5Y\nS56T868it9HR0VTe6zWxubmZNgPwAzZarVZGqy7RrLVR50Rzm1qfzq4AdBw/p2W8ay+PSpFzkuZQ\npOyd9LLAwrGTtYeEMjtgqaYSpEiMbw0y7BkNzNiLg4ODWF5ejq2trXTsBM31+61l81/tCVbE/sZe\nHRwcJINQ17yKDkwOW6ukmBYGCEPvs2NHR0fJUNSKF2uKb+gBgsXfj7t6Va/fUxngf/kv/yXe9ra3\nRUTEL//yL2cpzRvlIrzRMOP8/DyjDn31oW1oWS0ygwvRUsXLL9+5c2eAGuYcd3d3B6I5aFLZFwdH\ngV+jJGxF/Xef0y1MNCZyrv2wGSuggkah5qAdVGSxAz3aw+qSd3JyEp1OJ0tzGKh6IpnIiWG32bx/\nRN+oGuO9vb1YWFhIuhE7oeSQI6rdDY3f1NTUgKMk6CHK03p1eHg45ufnc15ERRMTE7G+vp6GBSiD\n9omUOGFGWsRF20C8V2lYwAJ1OzMzkykJwIBTxfB4prGxsVhfX0/aHYip6RY05e7ubly/fj0jEYYL\nOECNR/RZCmJLbZKB0HoAks9vbm7G0dFRpgZ8plainJ/3T7LrdrtpRAFq0az1wLgD4KoXRHdAl8OI\nKOYBrFq54p5AvP3l3pyI8b3oxKuQDCXtIob0Z+9u/wC/lSa3r6wjugT9IwCa4+PjTCtW4FVFrgcH\nBwkgMCSjo6PRarXypMOq0QEMrDn71LpzVaaPWA4otQ7qceWa+dDhWJfVfilzrKk/aQfUv7Lf361s\nb2NjIyJ6VQU0LMbEvjbX1mu1LfYnJ+57apVG7V+BgVteXk7hKOBGf1WF3IeHh5m+4Uusr6GhoWQe\nOX3gF0B5vV9PfMp/8A/+Qbz3ve/N5g9PP/10/OiP/uir8Wwv22VjoYNdtTuV6MMChpQZ1MnJySxb\nGh8fjwcPHqTB5USrclrDk3oPzwEVc7A0CjMzM3H//v2I6C00KlalRPv7+5myUOays7OTAGR/fz+F\naBGRTkBqQb6TEbpYUSAvifLlbOr90LciWlFyRG8TAD4iAxQuerpS/dYUhyRiUYrozxw9RsG7eAbG\ngFFT8SFyWVtbG2j5WWnmarhFlRfFhKIF9DdBFYdGie67MReXLvWPcDXX2JsatVcxYU1d7O7uphOu\n7Ifnkxqan5/Pw1EqBUrEZ+wp70Uu7sMxAVgMsCY8x8fH2TXtwYMHeXaEiLbS3qIte+FiP4f6Od+x\nuroao6OjqdIH9oy9yBWjgTkA9ADmGnUCrHQ+IyMjMTExkSfYYeEi+q2lrWMRMIePufB5Y1vFYADz\n6OhorK2t5VyYe2MmfVdLf4FZaS6AoIr0CGUFX6enp3k0N9tVq2hqZAt8uk+N2K1Fnf2mp6cT4G9s\nbKQTBXhrZQqQBBQQvhL0Al/sozVTwZX0qr4eqqKqILP2gmi327n/2WnpNU2I2Falfn6OxaN5GBkZ\nyZLrVquV2iOBgL2kn0vVegli2MBWqxX7+/uxtbWVItyIL4EUwB/8g38wPvaxj8XW1lYavjfatbi4\nmAvloqq7GlLKbEbMYqjUVrvdjpWVlTg8PIzt7e1405velDnhg4ODmJ+fT4O4srKSOSELp4rLIHAR\nlyis1mGLOJeXl1OVqimPCCoisluVXDdjpTNf7S1+cnKSLXEBmBs3bgyAGhtQjrKibs9XBTMRkcib\n4EyulNHmYHU+dEKfMWPgGRebmCET4e/s7KQBrgYAKhdlAB+tVis2NjZiamoqo8hut5sldVXFW7Ua\nogaADTUuX+p5a242IgbKmCL6J+P5DmusRqU1NVSpeePHMBI2coJyttbG6elp0vIObJqamsr5MU4n\nJ/0T1VDhrVZr4GCe8/PzrN2+c+dOgrChoaF8LlG73gc1vUZwxbhzNij+iN7xvcZne3s7Uw1VJFup\nbtS278AATE1N5fdY1wcHB7G9vT2gbWHUh4eH82c1fWAvcf6cqogQuPR7AMvm5mbOydzcXLJjIyMj\nWUrIGQHiGD66Ern5S5cuxezsbGozanMnrIO9qPSMjRLhYl84s4jIP/u7/YH1kq7yfMA+LZB0Coa0\nBjWPHj3K43ppaqw56R37v6bQAEzlm7WG374WkR8fH2eXyohIR8xeSSMYgyqw9uzYAE2TrElpAcAF\n+AYKrJ2aIrT/BRLDw8PRbrezwqrVev2nAJof+MAHPvB/+8CdO3fib/yNvxH/6l/9q3jHO94R3/u9\n3xtf+7Vfm13F3gjXb/7mb6byk+iK6lOjCjlgG54BUebDIInM5RmrSEeDHuiakAg9WlWmNefGCfju\nqgHw79D1+vp6Gqfz855KtdPppBNRfufeIgvGB82PxsMGrK+vZyTo/R3dSRQUEQORdkT/KNinnnoq\nXnzxxTRkHACHzvByRmdnZ7G8vJzjIV+su2Clci8qim3uiEga38+mp6fTSEqBzMzMpEKXUzF+5+fn\nmbaIiDRW4+Pj2T3MvFUlds2xnp+fx/Xr13NduDdwwNDLmQNTEf3os6qqOQu18Wtra3FwcBA3btyI\nT3/603F8fBxLS0sJUn3e+uEgav6b8UVXV4dTm8MQuJ6cnMSNGzcyCqUHEZlWVT7wISJHQ1uPDKs6\nagBKDpzzj+gfqcvh6W9xenqawKquP+vH99W8+uLiYq4p0aEmXIA35wfIrqysxJ07dzKnXtcwcChQ\nsEaNifXqc8YZFW7dYNyGhoYGUiTSfFit7e3tbDAGOBMM+6xxqKJC+gr0dI1mpSWqZmh2djYePnyY\njGDtHGgvYalmZmai3W4n+KAFGB4ezr4N1pY9C4Rub2/nXrp582bcunUrWTrC6fHx8Wi329kECetn\nrVovx8fH2SzNPUXq1uPRUa+rJ9ZvfHw8074AJeGr9YOdATqldFXmYGzqulA+i5XBbLbbCwl2Xovr\n8uUntyN+IgD4vu/7vviLf/Evxq/92q/F93zP90S3242f+ImfiHe+850v13O+4teLL76YEZqckrPb\nq4FTviUKmpqaSsc9NNQ75Q1CPzs7S+oI5cgZRkQKfzg9atkqWlMqVst95J+r2KzZbCbdf3Z2ltSf\nhc+p1RyUOnhRDMfNycuZcpKMCWOmHKduYk5EhFE3+o0bN+K3f/u3E5VHRKJrWgrGhDJeNGXD2qBo\nft8tZ8lJib6IhBgPTT2MCSqX2BI9ynDXvuwR/VJN+dMKmrwDwZTvwB6hdufn59NwU2pHRAIb6naM\nQBWGuYwpGrvb7Z02ubCwEC+99FKOAaqcEJAOQpQGhIiipCnMfXWCmJ2tra0BStn3ePbaVdB91UYT\nVXo+YwiUXOz9HtE/k+PmzZvZbtk719w0B4dJ42iNI5CL5Zqamkp9hDLIo6Oj1L7Yd94bBTw/P58l\niRz98HCvXty+qJGw71xeXs55tofrQV72MqAqauTAsCXy2PYcOp44tla4cMJzc3NxeHiYn4no0/JE\noVUEHBED7KK9XIOcWuUREXleijVnDdTySHbI2qiMk6oPlRw3btyI27dvJ6NJAFjz56JroNE6ZROw\nFNIEmm1VJoWtHR8fj6WlpVhbW0ubbO1F9NMubFbVLPm5vYtpAk4JJzl/acXZ2fnXPQB4Ygpge3s7\nnn322fixH/uxGBoaim/91m+ND3/4wy/LA75aV0VoKGoNf1CyDAzBEzQ4Ozsbc3NzaYzb7XaiwJOT\nk7h7925GDwxKRAwIntD0KKlapuc/vyeCHBoaioWFhXTMSpVQjiIhIhyonvOH3gkYqwAKPaikLCKy\nMc74+HjMzMxkKgG9huoV+aI7OemIyDIrQh4/07Z4eLh/2A1AZk7UaqP5a+lVzfdzRsYQBSwtsbW1\nlUZLK1ItWVGDAIC01vT0dBo1Y19FdIxeROS4cyg0FCcnJ7G4uBgPHjzIUjGGFIBkWDgITs53iRDr\nvxEgiYhq//ROpxMbGxsxOzubSvRa21yrQY6Pj9PBqlypRr/R6B8HCySgiOW/0dVo0tqYxzoVKQF+\nmA2ODH06OjqagtaDg4MU03Lo9qBOdN6nshv2FEfs39DVUmIPHjxIZ+6UT/fxTru7u8lqVjBM+V4F\nvJWhwrZtb2/nATtOo7THT09PY2trK5lGrJt1U3UCAAmAzLHXz1b9waNHj2J1dXWgoqKyddaAzxub\nmirb3t7O9M3CwkI8fPgwGxpZtxg9tgL4AkjYQBUZBMsRkYGDcZLOwjZxsur1aacAcGNmDqsNA14u\n2gqsTrfbq7RRAoxNNQ76nSgtBATqWubEjQUbgekFtmvlUm8NfWF+6rW4nggACN5cv/Zrv5aL//dy\nPf/88/GP/tE/ig9/+MPx0ksvxfvf//4YGhqKN73pTfGDP/iD0Wg04ud+7ufiZ3/2Z2N4eDi+93u/\nN77xG78xDg8P473vfW9unA9+8IPRbrfjN37jN+KHf/iHo9lsxh/7Y38s/tpf+2tPfAY10OhPm9+C\nRhFZXFC+hbqxsZFlRTMzM7GxsRHDw70OZX/4D//hFPig/DgI48RIEQZVupljqb9vw3Pk09PTSaMT\n8RwcHGQeVSTKcVysNKhGGXIGfAAUiPno6Cg2Nzezjp0zYZgZtGrcqrhR/wIAi/MTIYs6a28DzEDt\n6EdE5tkjIgGAfzfWZ2dnsbq6GjMzM3l/5yRo0KIzozG2JqpaGvqP6EcfnFtEn2KWa3Xa39HRUZ4U\nKMrmZGrpmUgFCDVHNdqVM/X/mm+NiKQviVI9A6csumZYGUugBiBkuJrNZvbKR3WKfBg2XfMYZboM\nTqT+WRrA2FnvNVqKiNRunJ6exuLiYt7H79JD2Ftzc3M51xySSEtduhx0q9XK0ly/U6l9TBwwaLxQ\n5vYapikisqOitI9x3traiqmpqYxgZ2dncw1ToEs51P1r7kWs5seY7e3t5f40b5wT1qjT6WSqgS4D\nowDE0F5wWPYpgA5sAWia9RjHra2tWFhYGAggql2xTqvGChipz8yJYzXYLc4fULdHPL//dJ+8CJqs\nYYwI5wswXL58OVqtVq4FbBQ7Ig2INcLOVNYE48Luua+9RV+FzWRf3wjXE1MAb3rTm+L7vu/74tat\nW/Gxj30sfumXfil++Id/OJaWlp5485/6qZ+KD33oQ9FsNuNd73pXvP/974+/+lf/avz1v/7X41d+\n5VfSKf79v//346Mf/Wh88zd/c/ytv/W34l3velf8zM/8TExPT8eP/MiPRLPZjH/7b/9tvP3tb4+/\n8lf+SvzTf/pP43u+53viX/7Lfxlf/uVf/n8Ul5//unPnTtafWjQmLaIf1YlORKSiF6r4u3fvxu7u\nbuzt7cXjx4+j3W4nOKDkjYh0qjXKZzirJoADtfGr2rUqxWsJTC1bGxnp9QVXQ19pYamOiPicDece\nIgiXPN/Y2Fg2TyG4k06A9hlvju3GjRvxmc98JmnKakgYjdrYZH5+PtMYdbPVlqyMtA0aEXlP0QD1\nN6PBYRF+MaJQvbmI6J8e5j7GmuOrYKRGyowGI492r+9QdRC1basc70WhZaVMOZ4apZ2fn8fNmzfj\n3r17mT9n4NVlV0Pl/erl2WvJmfXfaDRS8xHRE85KATGoSuLMAxDhOysAkV4DuivAkkaqdLb9wtHW\nVJkcMSeDKagK8SrUMt6AGwdQIzeRqr0mqr569Wp89rOfTWcNfEkPeZ+I/oFUlSECxESmftc8ulDM\nQI80gHmqZanGW1kk3QJdA2fOqUVEzo3URT3O/GIvCmlO1PuVK1dyXQGEldrHEll3tVTWnqEvqg4W\ng7i/vx/Xr1+P9fX1DHAwEH6nahYENe5pzUpdWqMEpRF91g5lzxaPj49Hp9NJ2x0RuabZLHvDHGFS\nzDlR8unpabb+rYEVADY9PRuNxhs8BbC1tRU///M/Hy+++GJ0u914+umnP8ewfL7rxo0b8RM/8RPx\nt//2346IiE9+8pPxtV/7tRER8fa3vz0+/vGPx9DQqgNUKQAAIABJREFUUHzN13xNIuMbN27ECy+8\nEP/zf/7PeM973hMREc8++2z85E/+ZOaIVlZWIiLibW97W/zX//pf4y1vecv/9TmqiOvRo0cpsnnw\n4EFcu3Yto0WLpop1qnJWFLawsBCPHz+OT37yk7nwVldXs9GMCFd0xulgF+gJLMoqbAIMLCyOfW1t\nbaAOWbQtmiQa8z3yiL4vYrCtsHes0QxEzzESY9lEEf38tOcQ6frZRZaCyLE2OhLhcZq1P4H7RvRz\nqBwtFa9NqEpDugU1WTsYXr58eUAJTutBDMrg1G5/xrwCH6CL4+LsgK2zs7N0Mq1WKyP9+h3eISKS\nWuYEpWAc/EInUYWHEf2GR/LrnCJQwSFiH/Sn4GCtYWvImGiaNDo6mq2w7YHNzc1MW2CJLs4dB4ed\n0XrbGRDNZjNPm+TsALSjo6O4evVqbG5uDrBfIroKUiMi1xtGzj7g6PwukGrerJGJiYkcP2xQ1dzY\n95yf6yIFr+S10+nE0NBQzMzM5PGx9ps8e1WgmwP5+YvpLgDXfsSgRPTTGxH9jo/VwVpP2LKaslHO\nV6NZGgDrDOjXzMh+6Ha72bcD+8hhXwRmlS2o+qOauvSunsPYnJycJPMq8rd3rG1gBTvjnXTLrNoG\n8626oJZRChgq+2svA93myJ6N6AUm+jQAgdIKqhB6gOH1nwN4IgD40R/90fjYxz4Wb37zm7/gm//p\nP/2n486dO/l3GyMikrLb399PZbh/1+/eZPms40/rZ2/fvv3E5+CItra2cnObWGJAeTeonAGDAiNi\nwIns7e3FwcFBPHjwIF566aXPyQ/VP9vcF3P+/n/x9zjYWroE5dpUqC95fKhbLo6zPTw8TFpSkw/K\nWhFCpZfdRw4XCmeMGXtaA8/l/byPTY4e1htByZIxnJ2dTUdvnkR3NdeJkagdumx8Bl3On5MkvANm\nOOxms5lGhpEXZTA4jOTvBlBEKwyYMWLICTW3t7fToNS5pLuoeUoMkB7votOZmZl48OBBrnuOeX19\nPaanp2Nubm5ADMVIM1buScBmbQCbh4eHsba2ls8S0QO4nL4T7ewFcz4zM5PnDRgLRlOExIHQaGxs\nbOS629/fT1W5Wmx7DwjgAKrmgGNxfK3UizVt7+zt7WVDIY7e3gIiOS2d46pArq5ne74yWTX9sbu7\nm30AALHqUDhnVLXP1KOfpX2sbXoc4+WZlBLXen4g07tjMivLiKmqVQTYOs8pMGk0Gtnadn19Pa5d\nu5ZgzhpsNpup/wC2OHJ2UpReWVCsQrWHnPHFElQaEcJIQYg5Mn9VIwBcWje0K4Sq2BZMCLU/+1Kr\nhQQWEZH2kC0G8DETellIFffs3+u/Vf4TAcD169fj7/ydvxNf/dVfnYa+0WjEt3zLt3zBX2YwI3rO\nZnp6eoA6j4ic9PrvOt5pCnPxHk+63vGOd3zBz/r/X1/49fa3v/21foQvyeurv/qr88/PPPPMa/gk\n/29c3/iN3/haP8L/E9fXf/3Xv9aP8P/89UQA4JjS559/fuDffz8A4C1veUv8j//xP+Lrvu7r4rnn\nnotnnnkmvuqrvip+/Md/PKmkz3zmM/HmN785vuZrviaee+65+Kqv+qp47rnn4q1vfWvWX96+fTuu\nXbsWH//4x39PIsBf/MVfjKGh3kE0IqXd3d1UBcvvnJycxObmZkZS165di9HR0bh161Zsb2/Hzs5O\nRk6onmvXrqW4ZGpqKpEg1TmaukaRUL+oL6JPd4moRBhVmIXa1B1ubm4uHjx4kN+vIUzNf4o2RH0o\nWikIVN7u7m6W+kxMTMTq6moCths3bsTe3l6WDqGp0XljY2PxzDPPxK/+6q/mM8tTi9hrxzfUKHpS\nPlGkRhtwsSmO71O+Z3zPz89TLHaREfEOIh2nIUZEfkaXMtG5aJIK29xSrou65GVbrVasra3luAwP\nD8f9+/ez14MGJ5Tt2I0a3YnCiBLpDiii9/b24k/9qT8Vv/qrv5opHoebNBqNWFhYiI2NjWS5KpMT\nEXnmfW2BLGWDnRAh3vw/Ndp6QIh6Inq6ArX0hIM1xRXR76UgCrYG0LEiPxGWyEmEVrUInl/ZFqEf\ndbu1b75GRkZibm4uu9hVgZgxc/5DzTtH9KLrt771rfGf//N/zueUvlLGaOwmJydja2sre4lIa2E/\nNLmSypFSQCuzQwTHUl2i9lr6WGl1Y7i8vJw2E3MnxUfjgNWyf+TpK1Pj595Xq+iVlZXY3t6Ok5OT\nrC6qh+1IMVgTjUYjI35MTC2lw1wQxz3zzDPx/PPP58E5GxsbcXh4GFeuXEnBnui99lvBNtQeDNgH\njZII8WgOsCFTU1N5LDg77mTUiM/Vb9iX1jX2lX2hgTCW9gBmYWFhJYaG+lqbV/uan5964mc+LwBY\nXV2NxcXF+OAHP/hFP4hN/P73vz/+3t/7e3FychJf9mVfFn/mz/yZaDQa8d3f/d3xHd/xHdHtduNv\n/s2/GaOjo/Ht3/7t8b73vS++4zu+I0ZHR+PHfuzHIiLih37oh+L7/z/27mTH0TU5D39wynkic6zh\nnKO2IAmSbPkGDEjwFdi34I3hvQ14Zy19Fd7bK8Mre2FACy0FeGFDfQD1maoqK0eycp6YJP8L6hcM\nZnv4w7Ja1agmUKgpSX7f+8Ub8cQTT8T7L/9ljEaj+Ef/6B/FH/3RH/0fv99Ql6rAPjk5iYiZqrqK\nqEx54yAMhrABncBGuWrjnZ2dRafTyU2/tbWVzsPnq8uquxFTqb/VaWndbjfev3//S10A4/E4Z/HX\nHnlAw6YmeKriP//nd5QgSp7jVn4ZjUZxdHSUmykisp0M+0Kgp83OOhODTSaTrB2iZwmqbNAqGkSZ\n1xosx4XCReVzwK9fv85n93I2fLfbTcDjHnQpmGWvS6GKMdVNBUhiImvsWjnbOhqY+KrdbsfHjx9z\nxgOH2mq1cu2riAidzim1WtNzGxy+BSSpw9NCHB0dzQ2DYffN5rQHWzmCUEoZB0DRKRERcXZ2Fs1m\nM49tJpJTvnGMbnXEauM0JZ1OJ4EWMMc26rNcWpqOx93d3c0gDdihXB8eHhJ8A4dmXlgzz+ni4iJO\nT09ja2sr+v1+7O7u5lr9/u//fnz//ff5vNy3spnSjOsAZq07oLm5uZn7kX3WdlPPAFB0WA1AS5sT\nMTvTQEmLdqOW+ID/zc3NaDSm7aI//fRT3N7eZlJjPyu1vRTSCtaEvxKCmiDQijQajTg+Ps4uGtcF\nDNFx1O4WALbeg3Ww7+o11nsHiDqdTo6rdoaC/6/lCn5LSx/QDACyefZmMubFxUVsbGxkKUpbqrWu\nZTglMXYqaXO/AA17VLYClqf2838MTX/nr8Zk8j+/zH/yT/5J/Mf/+B8jIuLf/bt/F//sn/2zX+mF\n/b98/cVf/EVMJpNUNY9Go3j//n10Op3Y29ubC1TX19fJAmiFE1CM4OUIB4NBDrGwsYnMqpAkYnaC\nmSBvM2ATZPeyISIrCnbZreBPeATRCnh6jPWLq4WpWxHGcQRbW1spSHOsqCFAdVSunyPCkRlGTJ3K\nH//xH8ef//mfp7Nxv+vr63lAh2xQcKsCSz24BGDU1r6XoyaMqhMU1TOBBgBD21PEbCa8DgXAzPdG\nzMbX1i4Jgitti4CbWiutwcLCQs5kcKbCy8/iDAEKIMEoWJkG29ve3o6zs7MUC/7xH/9x/Pf//t/j\n7Owsx/hGxFw7K6DJzqvojN4gItIJc5qYC8DXe2WynlcV21UGTcYqs8JueAbs2awI18hJb2xsJFgF\nAJrNZh4kc39/H/v7+1mLpg2pjpvIUucKIMZeiYF9Z6vVymmBhsj8yZ/8Sfy3//bf8mdfAmfvZXuL\ni4uxv7+fo2Ofnp7y+nTiAE/+DMRZg5d1cuO7ARLgux4l7T3A9tbWVv4Mm2arNYDXvnbPRTZrn7q3\n1dXVeHx8jG63GycnJ3NsXPVz1ullZxNGDTAwhCliWmb5L//lv+ToZwEfIwRk6wrB5tjD2m/9rO9t\nt9vZ91/9eqfTySOzj4+Pc76EeRj2iI4pGpUqotViCKARzD4+PuYUxOPj4/ijP/qjuLy8jJ2dt3Nr\n/at+/Y0YgPr6T//pP/1aA4BK5UZEUraVFmM41LoHBwexubmZmcft7W384he/mOshlg0SwkGHNqFJ\ncBCw93FeNmgd1EGMRJwiw0ULVsGeyVru0fsiYu6UuIhIcIAZEAB932QyyeN5IyIzid3d3VSlV4ZB\nUJKlRMzmrAvySgbD4TB2dnaSHREIOUIK3zoHXqCQVct8XlKaGBqtbZPJJMFAr9dLdoFCXQbufqoq\nujpLm51tEBdV0GNd63Q/lCV60JQ5JSfXFxFzFDahnIlmMpgqDo2I7GIxXMngFJk18FTpd88vYjYJ\nrqrPZU0RkfbQ6/XSiUZEOlqg0jU5DXFtbS0ZBPfg+n0vkOReBC+By7RGdPRoNEoGwgwBIBGThJWz\nN5SYZIp+t//tA0BNSYc9eabKEECGrJadVJHp0dFRPsdutzvXLw7sAUyuEUBzjfU5V+V+zTqxDXyH\n/7Mn7AvCV3YdEZlMWHvXW1lIPqiOCbZvut1u2lcdmoMZvb29Tb+ntZF/rMOkKgitg4B0N4zH41zD\nwWCQyUun05krE1UfJvBbQ2UwzxMbA5z1er0YDAY5lttzqeynsg4g6BlgEl1PHUZk7/zlX/7lXzOM\nnz8F8OtxZuHf8LW3t5dzpyNmveYmwNkcdcObhCUQoYTfvHmTdUSZMWPjbKs618ZhjDZ2VblHRBq/\n66v948DF/f191qI5FrVejoAzqKBD14Me9DrpUJtWu93OaX3oza2trTg8PMyOiNre5EhTzEO9lojZ\nsBEzEepUQXVAmZHrlCVGzOh2GXStQ8tSZCH+zVr5nJubm7zP+/v72Nrayp8BNLABNWhSqaOVgZPa\nF7y1tZWMkEmRbAgVj2WRLXCG1aHQMMh0ACrlGECEApq2omZYGANrNxqN0ileXl4mM6HUYO1qycPa\nrq2tZUugveA6qLQBlQr+aimEI2bzABSquGZx9/f3eSIcu62Bhc0Cq2ZyCOCCZa/Xy3o4YP309JQK\nfcG/zoVQt7Vnqn+oLMhLEFRLidbSXqjz93XcKFfZwwK/PSwI+i6+RkCWwdY9Ys8KvhGRIKF2HtiX\nwK19Yg9ad3vIXq8DpawRQGHMuczf/tdlUods1XvH1Lle98gm3ZuD0RYXF5M1AJxqWQErV7UBNCLW\nZTwex8HBQZycnMTh4WEeGlX9pmmUwBOWFuOpXFkHs9WyK78bMWM166Czz/n1RQCAfr+fGcj5+XmK\n7E5PT2NzczMpfoYjwDgTfWNjIxqN6SEb33zzTezv78fz83McHh7G/v7+3CS7iFlNvNOZjgzmBPSJ\nM5bKCED36qKCg6B0f3+fJ8E9PDzkAUX0BlrSOAbOQfZTGQYZvA3F0Q0Gg8z8ZHMOo2k2m7G9vT3X\nHlfr9RGR6Jljdt0RkVQgJ1hbrtQHZTyycMjdhueUifmgcKUGWZ6aaafTie3t7Xh+fk5RmCyGw3/Z\nGudMB+soa6qOGCW4srKSAdihI6hZAksORAmGMxMclFQ8+5rxRUQyGxy2rE1pyr0IQrUH3lpZ15pR\n+j92bx3Q18CX4IFhUre1hwQCe0gblEE1bMShNj5bBq8NrwrJUOFVWyJA1iNfl5eXE8RfXFwkuGRP\njUYjwRmAQpCnfCYRqNl6fWZ0QBGzNllDwtwfAKGFFZPIrgRQWoXKNKh3y4KtLVuSPVcbvLu7i93d\n3RgMBnOn+NWZAcSw7Bdlzr8IVD5bBn17e5t+x/MCYAF27cQ1IPMHwB2QVUugGDC+bn19fY5l2tjY\niFZrelDby5KFslMtA7KBZrOZJSzXS/MyHA7j6OgofQYgZI8SLDvfQ0LG/t1nLTmxFQDCWlWh6/QZ\n/xrPAfjFL34R//gf/+OImJ4j7s8R04f5X//rf/3bv7r/Ry+OrIr7aoZyd3eXIi0Ps9vtZt0O3U3Q\nxbDfvXsXh4eHmXXKWiqdx3g53ppBvAymVK8vxYij0Siur69jc3MzM3q1LRuNE0e9O05T/zvjNvRF\n9sIhb29vJ9XqmgQU71UOUTuLiAyEEZH1Wu+vCmxZ3uPjY/R6vRwvbf46QQ/gsLa2lrQ5lT6ggj61\nfoI+itmAD8pwCuBaDnEtWASUn2cgUxyPx3PzE2pNGAPQaDQya1GSId56SS1Xu+AQAQmlA+v1+PiY\nwQ9o5NydrCbI1IObiLUE5JffHxFZqzd/oTo86094dnd3l8xRZZRkpZ4H2tchTwCWTIqNHx4eJmDp\ndrvZ5cCZs3nZo+9wbDTBZr2n6pi9Xw0dq4XiZQ+Efj4DEKvDfrAsskM+wZkTdcaEmQbszFrT7mCe\nqo/AeNRMus4ccO/WXwnofxX8aJUeHh5ia2srdQm+D6Cz/vzB/8yf1AmibI7f8Fz4okr78zd0BLU0\nJRGIiBzghNm8v79PW6PbiIi5TJyupLJo9sjGxsbcTBIAUjLFF/lFq1LnvOhkqH3+jUYj5zJcXV3l\nd2OxJFY1AZgC0b9R2PqVvP6XAOA//+f//Ku8jr/VF/GMljfUI7GcjNOGvry8jJOTk1Q/o07v76fn\nizsLAO3vZCvoGFK00avjt/mqGEu2wbDRvrV2RY+wurqaNJZpgbVGzsgpaNX6ZK3qg+jMi4uL3JTo\nYkI6tU50P3Qvg5SR1BHIgg0KzYasVO1kMont7e1otVpJbdfpb4BLxOyAIVmdjCViNliqDnZRn5at\nouvQkbIaQkfA6WXGBuhUrQZ6kP0ICu63To70GXVg0Hg8zpPbLi4uImKW9aC/r66u5mryAIrgUGfe\n6yQgSl1enp5jL8PD8gBLaHQgwnNz3rpulPF4nOwY5kz2zIkL8BWYeRbuRb1YWxwtgucheNE7RMyE\nkahkzlarqizXCGjz6yNm59vLxIBZe63VamXd9/b2NtdiOBxmG6WX0pHnLwtUCmGnwJx7NXmy1vkF\nefsGRe4ZAyZKa4Bb1aeYPAe0CcI16FexZi1dsh++B7uCuVlfX58DxO715OQkfZYjbutkUz5KklTF\nzTJ9wTdipvnwvPhl6+vcl4WFhRSFYgsxIRhbug/sV00CfD+gCkBhadgOP8Mv2lMSGj6OLQIG2B97\nh/2bCru5uflL0ys/19f/EgC8ffv2V3kdf6svFF/NZm3siMgME5KEbm0E79vb20sau91ux4cPH2Jv\nby+Wl5fj7//9v59U9OnpadZlUbiyEhlzBQE1K7Bp1emIYATbiGkw3dnZyc05Go2i1+slu3B/fz93\n9Gqtw0VEOnROoYq1IiLRbKvVSnBAcDYej/NYYpuuigCtDVGWoBoxReXWmMPhJDiMl7oASF1WpV5Y\ndQECqPfWem8FRZwT8eHr16/j/Px8LqOs9DwRoQ6J8/PzBGjaQNGlFMGVUpbFVKHl5eXl3DrVtjg2\nU3UUnBag4VRAjoh6GjshkPvuKk7i+GRNRGsnJye/JBgDyDA03W43Go1GnJ6eZoAeDoc5tAt9bx2t\nJS2BZ083U7UYnU4n6/yCBIfLNq2Bz6/tq2yDLbHTm5ub7JbxXdZftmu9BQDrbh9iCgE6QFgZzvXT\nbNT2MYHSXhmNRrG7u5vXzraAPCDefAUlg+FwmHM6rKFAB1hLVjAStVNBp4frrvS5IGoPA7BAnvUm\nDrSnK82PiRAg+TE+jfB3aWkpQYLn5bufnqZnM9RuDWvIVmobpOfHh7JH/tUetS+rzWIVAaOlpaXo\ndrs56dCew6r4XPtLAuH4bAkf/6ultu6Fz/X1RWgAqvBE/zA1sxGYjJ3gbnFxMWtUanhLS0uxu7ub\nAf3Tp0/xe7/3e/H+/ft4eHiIjY2NuWNaBWyGpn+4ItXaMiRzqVoETkPvqsB3cnKSlLtAjPLkyAUN\n3191BdT5qPKbm5t49epVtpdx5rIWgaT+e601R0RmCYSO2I+ISEd2e3sbX331VSLo7e3tPGDJOFXU\nrCxzY2MjOp1OnJ+f56ZWg5b10RpgJN68eZN6D0Kzi4uLzGojIjNKzrDeW0Sk4jdi1lUhCNQMzVpz\nVIIpzYeaMCdpbfxcFYTVHvA6i6CKHQUCzxdYVeaqs+erI3evlYKWuaHq2+3pyGhKcJm0rLc6ytpf\nrZShDAN81lZLWS8H3+12s0NieXk5Dg8PY3d3NzsIKlC09myiUsuV0hXUakADFAA0919nYqD3I+br\nv4Co2rgMn/CMo1e3rn34bEQiUNkPAYUN0TIQy9rn9f6UShYXF+P8/HwOOADsT09P8Qd/8AfR7/fz\nXALBT3CuJTV+a3NzM87PzxOIvn79Ovb29uLq6irnWBCTYnh0UBDL8ifKpV72lvINRoDNWavKLNWy\nFPBSs2qsLNDnSF/3xH+Mx+P04wJ3LR1sbGzkkDf3phxJjMt27VeJYe2iYqPLy8txc3Pz191bO9H6\nu5sD9P/r9UUAANkD0c76+nrSg2gtiubhcBjn5+d5uI92vLu7u/jpp5/iu+++y834+PgYf/Znf5Zo\nt6o+1YE4JYI9dNnHjx/nDPzs7CwpxCrQarfb8e233+bEwevr62yr47gHg0G2uFRKzSa0GTg+1y/o\nABCnp6dzqm4O//HxMT59+pTZwc7OTjqnWmuDePWOo3htYBkWUc7BwUGcnp7G3t5eOnCfU52++eTW\nGHuj/gYkcLDdbjdOT0/nzgUABtC9Btqgga2rYGz9tTURnDmUCQCZTCbx1VdfxdHRUToxn0l0VDUm\nWpxqdwCafXFxMUsDgFdt3YqIMmc8MjBtbGzkLHOZq2Ar48IAuBeAUQarbBIxBcwcpkwSi0SEuri4\nmJks7QvA8lIBzrELXoIfpw60KV1VBqxqL4AQGg/2GBFZ6vE57BDYllFijLTlCZzoZvdv7X23JKLO\nwECzm8VhYNebN29yv1R6fDweZwZqX2Dozs7OEjQNh8NkDGiLnp6ect8IRL1eb659Tknw22+/TZZJ\nsPYzGAon8UVMkyL3gP24urqKw8PDWFtby1kcBp3xCbJs5UtBuQbqSpvzTZKCiMhzSnTpeE40DJ8+\nfYpmc3rAVtVh0DZQ4Cvt8WuYMgnG5uZmrK+vZ8uszzPH5fr6OksnwLaky8wALC6fent7m0cwW19g\nDjj/3F9fBAAg3LDZZdpGtcqOtUBFRA44IcjZ2dlJ5456hq5XVlbmxstCuFVFauOpV8vYIiKNGKV8\ndHSUBipwqJOiGZvNZn6nnnMZscBko1WanxPSw6q00G63s+WGkKnZbMbJyUkGRQIXdWqZkzWrrW02\nK8enBl3FdaZ+yeojIuudVRHvGWAGgDafRdEtyAkCzmpHC25tbcX19XX84he/yCCysDCd18Apyyhk\nyFXc5n7Qf1dXV/Hw8BBHR0fZnkkoSdAnuCwvL6coS7eEz0fL0hVwqNfX1+mQPEsix8qyDIfD2N3d\nzZkH6qy1o8K9UVnLtPxyj0CXmqnAR6SFBkWP1pkG7k1gAzw2Nzfj6uoqa6vKaECD929tbaVaPSIy\nkBDRCey1/xrgwE6ZUjcajeKrr76aEyTu7OxkwKq0PB2IUlUFFpIHIE2HCdCMVQFwfuu3fmtusBO6\nWZnGXsImuB+lqaotqKK09fX1uVY5M0ZQ8vZj1ZtgKTw3pZSI2dAoa1AzXL7jm2++iaOjowyStdbu\nmdmL2B4+zZpVtql2H/FLkqJWq5VjqmlUlNOq0JDP8kzdQxVzaqF2beyevWJpsEP8j3jAB2BJXpZQ\nI2blOf6ZSBKLUw+4+5xfXwQAUOtV80MRQnQU0+ZgozAF+FarldPlfv/3fz8+fPiQ6Hx/fz9WVlai\n1+ulk2SEtT3QplZHk+1ERIq46qAThq0m1u12syZL4CdICwocHNpUfU2QQW97nyEyT09PeTDTeDxO\nGlZ92GdwkkoCnEUFPO65trM5W7x2RFRaGm3Necha1N9kTZUxqeCDs/R+n+39VaUu4KHN0XeyH6yG\ne6zMA01GRGTrkHqhQFbFgtaDIzk/P89ALrv1d/YoA/Z8qlo7IrInGXCqWaoM/KX6GhvDnjwHTIWZ\nFxGzUk2tq7s2IlB7ptZGMTjWvXYKqFHbA1XzUrUZETPlfKXnfXdEpEN3P4ASpk0gbbfbKZolKDUS\n2nV0Op3Y2tqKwWAw5+BrlwvqH5CTJT49PSVgFqiWl5fj+Pg4qWfvEVgAdSBCS64XYFQ1KSZYfvr0\nKUthlXFkW4I3oFKZJXvHZ9YOA8lMFS4LnhcXF8lEAZS+S2kD3e162KD9XjsoqjDPXhmNRjlxlACU\ncLZ+j6xeiREY4kMkMYTFvV4vGQtaGHuW7QBDtXwo+CvzuRfXy0fap8C28kir1Uph76+BBODLAADq\nZZwBCjZiNjSFc7d5q5OQHX78+DFPIERFC7aLi4vR7/fzM9UpBRIOv9YyOVYI0+fVtj0ZBHpZANOv\nTrNQxV4Rs6l8UK8MwHu1/KkbAxXqfmruKysreYjGS+GWz7ShZQc6BTiZzc3NzGY4kJppAhOu3zGu\nPtPmjpjVyDmPlz269QjRWms1m8B1ey7mBehHruChBhOMjWdFpWydjZQeDAZZ31bb9h72Valen+/P\naPaaOQGIEZGdENNRozuZxbCFqsgHjNhDPTrXz2Kk0Jhe7XY76WU/C/yYEVHV5DXjoQPgdAEY7FtE\nZN1Xdg+sLC8vZ3ZLh+CeqpMXbKynfccONjY20kkLgoPBINX2QK1/E+jcexUY+h6Kb2sq6FVQ4whd\ng4mIixcXF1NVb+pjFRwDU0ovwIJ7k8R0u90E7VggjFe3201Wgl2zg7p/rKNkxBp7j/JOPR9CUHRd\nEZHlKqBGJjwajZJl8nwjZkOH2Cdt1WAwSB9BS6HMYGon1oHPqfV/90NEiq0T/LUmD4fDPK/BvWJA\nCR8lF0CrNllAQCmZMDQiknUSXzzXX4fXFwEAKvUk06j1cQ6YA+E0BG3BWfsWYRAnWYVF9bMjYm7q\nnV+yBs7Me6DbiNlZ5P4cEWl0KDKZbJ2hzRkD58xYAAAgAElEQVRFRAZrlKWeXw4HvY++Q8lx9qg3\n7IH6oJoYsZN7kAUDMuq/1l0NEprXNmNuPnCALrWOtUXT5q40KSrQ2tR+6W63m+e9u0a0tPfU98ue\niLBqG57siJMFmoiFODpCOuxAZS+AClk4G/NMqmgQYFISYa/qu9YBoFA+kTXLYgBHGWYd98xh1vIE\nMMYWDQF6Cfpedsr4N8AM2+S+Kt0uQLB51w3oYJLsAQCK46crwH48PDwkYHFSn2teXV2Nfr+f348Z\nEkTpNKyL+6wZog4TayJ4yXj9rNq1bhfZ9XA4nKuxuzd1bOvoXofDYZaAKpNVh4DZLzQcdV/UoUAV\nEPqd36gUOPDJXgRve6aCenZnT3t59i/bX72/1WrF0dFRREQyNli3hYWFPAdB6UaZjb+to4f9uz1k\n7xEoY1mr+BkABPLYkGvHTmKElZowTw8PDzmzgj+SFCo1YnGqJuxzfX0RAICTu7y8jIODg7mgVEdi\notHu7+/j+vo6KSMbwzx7bML3338fX3/9dSqMX79+HRcXF1kfjpgNhEHHCzBVWFXpzJqx11/D4TBe\nvXqVG0NQR81X9FsVslW0EjGfUbsGbUMccT3Uw89xvldXV9km6N4ADowGyr5mO58+fcparYyz3W7H\n6elpqscxLREzZsZ1+3lZJKcCBNTaPaDlOdjkDw8PWdPW0ue7BVjZoOxIsOHYBA4OGeBSquG0er1e\nBj0CU5mxkgHgWO2gDq+hb/C5bLm2IL0MVhEzkMPRR8ScXQFcHF1tkZI1AirWQh86Z4hFsea1Bg3A\nueaXrVgApmdJt+C5VYaIPbBZoIbGgL5haWl6qqF7p3bXbaJVDXOGOlfOWFpaSlawihRrh1BV0rOZ\nl+JBAQKoWFiYnjpY9RmShZeUuGfmz0BURGSAwwChsHUrAV86BYjT6gmdmDAlST7E9wrkulfqmR6A\nZ83ogQPPqgpJMT8GcAE8NekBhLa2tjKQY4729/eTrQKkqxaIb2F71lDiBpjxh3WoWt13dR0wbbJ/\nZTI+1N5URhAzms1mXuv84K7PvwbwRQCA29vbnIynbmdjMBZZuYlezWYzvv766wxSnM3m5mZsbm5m\n5t9oNLKrgAJUa01EzM3lRhdzoLX2BnliGpQl6mceHh7mefbNZjNFbegpmZCWGBu7UthaVVyPTcrI\njfJV+1QHQ/ExciI2JYqI2Yx+pYWIyHY4NKrr59wrDV1rm7U9T/A2Ota8ct+J7ptMJpldttvt3LA7\nOzt5QAjnb/OrsVZNA12Bz3AtEbOOCgGdnqSOVq5HKfd6vTn6nfOv4rvauiTg1JGitWMDSKPZwNDI\nPNCSNZAKNoRZ6vxAlQxfDbYCUT9HBObZaberwdFnsyvA13rX8yO8X1YIgOhk8X3Wkr2a1ud+OGCl\nOyBPtkq1/vHjx3wm9lVlXvxsRCSTJKixKTZXy3X2A3bn8fExtre3c5w2EFhFhPahPeK9PhNIUMbw\nHV7YCCyA57ewsDA3JKx+rsDM7qxDnX1ij9Jy2PtGFd/e3sbl5WW8fv06gY/kw9oAzO12O/VWlbEE\npCMiAQVg5fru7+/j4uIigS0/UEWDErGqOzC7QuspEN3v92NzczN9ixIo5oC4mN1LAIGxOna9Pnt2\ns7y8HNvb2zmNcwbGf8MAfBYv7SQrKyt54I2HLwAIcjKO5+dpf7M2mH6/H6enp/Hu3bt0Wvf39/Hu\n3bt4//59IsKIWc2NA6nCNf9fqSZaA05seXk5h6tUMc7m5mYcHh7m0Z+6AGT6vh+ylq0I3DJAk8g4\nalSaX5x1p9OJk5OTOSFRRGSN0AaTOUDj9VxuDkWL42AwyPXh6LQwRkRec82GbGrrzgEAUWqn1jAi\nsptB//Xm5mYMBoOIiKRGMRM6PlC11pPiv9KMnF2t9W1sbMwBEgFNPXh1dTUDuN/raYoCiWdGPKhV\nrdmcnsPAdlz/8fFx9Hq9ufkJZkOor7OpGhTZuLWoAJDNEscJYK65tmCxLTV7MzOqgBKLIhgAI9Xp\nomCtIcEgACNY2qdAk6DGKdczBWp9/vj4OAE1O9je3o6FhYU4OTnJQVccd63x+34BrAJ/jBab39jY\niJ2dnWg2m0kJ19Ki64qIXEcK/2azmRMe7RslCkGGf6qMX6XuJTi1lGCPSz7YJx8HOEhEavnPe3q9\nXorcImbdGbV0CoArCwKzWJFWqxUXFxfJHPJbQJGALSmzrzF51s0+NMmR0BKYxuJKXrBDmNnRaJQ1\ne0wR8Kxbgk+ilTEDge+pmX+rNT3wbTAY5PV4vp7D5/z6IgAAJ6q+vb29nUhwb28vadF6+MXW1lZO\ngut0OgkUOIWIyHqt9g8OisNHaaOEBBSbMmIGBmQ9w+F0rvvy8nICAYHs5OQkOp3OLx1eQciH7uI4\naxbunAM96Whx1+le6hn0glRV/f/u7/5uvH//PluWDIuJiOzlff36dVxfX8fFxcXcRK6Tk5N0Mqj3\nWleG9G1O7Y/aKJVCajmm3+8nfSmj0f+tN7tOP1taWorBYJAT0yaTyVwPPVWybA5wQRmiRdGO9efW\n1tbi9PQ0A/jV1VUCGvdYyz+1pMFpKkkBVxwvsOcQoMXFxRwP7RmyXQHVfIjn5+fY29vLQVVsl0hP\nK2uti2NM1Nbr8bgvM2EDZwBddg3YEoYBJTLJjY2NBKXdbjeBKRo2IhLkYQ/qkcG1fgy4snsMTW1N\nazSmI20XFxfzOXHwdRwxMNhoTA8TIoK9ublJYaL6Mjak0+nExcVFrK+vp00CbvQh1sv611kSrruW\n/MbjacslJmB1dTWDjWc6Go2SGZNUyIzpTwBje8DPVT2H7xRIP336lKBUKQh7Zs8AH5VhajQaOdEP\n8DF8C0PDfl6/fp1spmsCalxL9Q2eo/3Nd9aR1UR+GCUAdnd3N8bjcbZoKsVKPPhD7d5VIAjw0Q0B\ngd6npAeYAIu/Dq9fj6v8G77Q+Xd3d3F5eZmnA45Gs1Ojtra2cgO2WtNWkvX19RwaM5lMB77UNrpv\nv/023r17l45PQDBVihOMmGaGd3d32SlQ64v1Z6sTcj3+H+KOiKTRGKJgqsbp56F2dV9/f35+zhYl\nme/9/X0emcnRb21t5WhSB9CoD1dkbp0fHh4SDVd6X20WTb60tBT7+/vx3XffZYbFGQm4V1dXGSwB\nJu+vQZujpKIHbNbX11N7AMTIhrEUWAjB3+fLCpSMKhBCiwMENzc3sby8nMNH0KXW2XoSEWEfan82\n8ZLvAtSqHUREUqMCbrvdjm+++SY+fPiQHS71/9nJYDDIAMa5EdABL2wH8APs1tfX4+DgIIV7Oh1k\n24CngSqVAuYU7auVlZW0RbTt5eVllq0AJg5e3bqO2rXPCN8EOFR1HZ3se+tanZ6eZp2XXTloyAs4\nu7m5ySFRvhfgql059rQ96JrQwtiCKjADbjBaDoUCXtmrIN7tduOHH37IawP+KgMI8OgOklFX9sc9\n6LFvNBopAsUevXr1KgMouzA8zZp7/93dXQ50ql1TbHYymeRkVJ8ZMZ20WduZ6/hdYGlnZycTN9e3\ntLSU5Q6zN+rZIUtLSznYyP06WIzN800AuTHDOkf4M7YwHA6zHGPf891KcLpYKhv8ub++CACgrQyq\n59xk9KhWQURGjFamIkfFv337NrOD3d3d2NnZSTGLnzWZTPCpLwhXrZHj8P2CQg3aVfEKyUPI6Dt6\nAUFRRlQdJsftOtQKBXMOa39/P/r9/pwC3TngnEatHUbM6Pt6lkBVfBvQIkD++OOP6ewiIhW6xjU7\nGKU+Iw4TPciRa7l7SaljcdCUMvx6tKss1nre3Nyk06nB10umMBgMksLFatze3sbW1lYGj0ajkX3d\ngJx1EtxfZkDq3A4sGo+nZ5pHzAR+MnQBuTp0tixjMaqXdsL6+s5q746XNTeD8LMOogJg6B4AZic5\nEorpTgHsGo1GtrL5Lg5XSQrQqvSxsgvtjutF1Qp42Aw2QdzKTkajUU7T29zczD7x8XicrFBEpG0r\nWdT59b4LbY0VUee254G3qvGoNLfPAvyxJXySII3uj4g4OTnJkhSQP5lMD9ZSEnANteOBD5AVV60J\nMGyQ1vb2dgwGg7kyElAhM/Y+oNY+stfryGBATksdNjUi5mbmK+kAnXXehix+MplkuQtTWsWZnof6\nfa3RA4B856tXr+ZmQtjjRNERkfsJzU/Hg/FR7uCfx+NxvHnzJj5+/PjXSePfMHD9Cl5fBAAgkoPA\nUYOoVI5H5iH7h9oh+MFgEI+Pj/Hu3btEhSsrK3m8Kao6YtY6JPDY3I1GIw1MpstRovRlTr1eL415\ndXU164C9Xi+HnOiRleXI0IkABUOBt1LLEZGZwuPjY6yvryfVjqlA0fosNWNljJplGozDWWAVKHkF\nLGjeYBMZBgCFvqzteL6b6I5GorYibW5upmDT5uScZQRAj3JMZWRk31ib2opXxW6NRiM+fvyYAiaU\nq5KHwFXpcE6Lg6/sDNBJzc3msBRYn4jIwNDtdpOZEui2t7djeXk5+v3+nGaCEwdoa+cLwEjFTNuC\nViXWYy8YMdRpRGRrZxUFYobsBx0Q7XY7SyPWsk699DxdJyBwf38/B4IFHlmpwGu2+3A4zIEs/X4/\n1tfX4+PHj7lPrq+v0ycAnp47WwN8a3mBbUVEBhPXjh4nBMXG2IMRM+Eb6ljWrBzDP9XBO7LmyWQS\nvV4v7VTZUnmAf8FSjcfjtHMBcWtrKyIiTy0FSPgu6+6MBskMRgtYU/qrrZ6yfHuIb6mnNQJWbKOW\nKa0Te/WS4NhX1cawGkqKtY2XjxkOh3k/kiOslF9AOfAN5FXmrpa4JGb8PJt69+5dgqNfh9cXAQCO\njo6SIpch2gw1e7bRGCl1Ladl2pcg+u2332Zw5wh8BtqOU6jULDQrm4uYDRVZWlrKbJSz16IkW7HR\nZJY2N0PkBGwuzkPAYcxETTISNVj/r35sM9h0dXJWzZA5bhtDNlLvWw14e3s7s6jNzc24vr7OwDca\njVIYVYVCMokaWKtoziE2Nq6MVU2y9q5fXV3N1XSVHgAbzgvDgv7D6LTb7awBaxM8ODiIfr+fbUoY\ni4jITISzQfn7mVrv9MyxBL7fmi8vL8fZ2dlc5iizd+1suLaYKcFgY4BLWWYVbLlOIknPxal0Rp+i\nUmXV6rxsRcDDngn6BFaesazRACAlIME/IrLrQeD1bNDno9EoGSzCLe+tx1FjNegQ+AVMFsBrDwLV\nVbvRaDQSPHH2VY+wuLgYr169yuTA+gI+1gl4ZlPAmb+zf0BORuz+I2bHIPuzZyUoCnYy7IWFhRQp\nep/98eHDh7kTEtlEVcwDpXzeeDxOjVQ93dC6ra2tJSCm8fBaXFyM3d3d+O677+Lm5iZ6vd5cC569\nwgc57RMAaTabyeJVv+QZ3d9PD1+T7esesM+tJZvR9oo15DvtBwDj8fEx753PY4f1uX7ury8CAAjk\nHB2n8/g4ndeu1ajOIUclMQa1yIODg3h6ekr0fnJykgaE5q2/OBKBuSqUa/28ik1kIjVoV51AbekB\nEgQOwTwi5jIa3ysb9TmVGvceTkTmyWFHRFK/EZGBxvdU2txG4qRspJubm6SAtegQ7UREOsa6Rihc\nQRIl6dnd3NwkvSnjRJWq3QFkNi+nUsV5dfogxyFgcvx12qK14Qx+/PHHbP2y3tgBdWPrpoxR2Y36\n96pnqHawsLAQp6enCZKqcnl1dTVBoexddlr71103e62logoInNBIL1K1FDLV+llAF2dtHz0+Pqaz\nVj81PIlo1T6jSSGsEhTV/mt5qWo/auvm4uL0UCW1XXs1IrIUSBgL+Ovtjpg/aljWB0wCxQKZoGZ+\nBhHY3d1ddh6hwiMi7896oqWV6QRuQd31GdZVQTV9hbUBhpVBaumFriUiMrNnnxsbG7G4OD1hED1f\nz24AnJ+fnxM4CHyj0SinA9pX/AEGg1ASKDBal105QRX4rK2PT09PeYBWLS/yr/ZmZUWazan4UhlU\nWyMbsI6SM8+r7sPKAtUBZF4YL9/BDjEv9vrn/voiAMDr168jYiqEWl1dTVr36uoqsw0PlNPf2dnJ\nw0lQUu/fv8/AZcAHw3JanAxFnzwQ4HtlglVlKnhHzG+2iihrnawKmyJmx/36P45JABbcBRXAQUZH\nr+A6oG/AwuzzOkZW8Kw9vDYm52lt6pAVGgYgwPrIEqryFhtRJ4X5zNFoFP1+P7UCRqQCAsol7l0G\nVAMsx1SHKgE06q/NZnOu9kmJXlspDWM5PT3NzCIi8rvVa2Xy7AH1KzgIJnQArlmwiIgUuznNrdfr\npWNjq8oe6FctUDoYrK8MaG1tLdbW1vK5YzdWV1fj7Owsdnd3s+xyfX2djhrosCYRswE2tUSE7dB/\n/fJ5eAZ+N0TJPbBtweRlq6gSF42Ae3QqpSBRO2QAMjVeWpiISBAH6Lhee05nC1A8mUySgSBqsz71\n2XuWEbNTHWuAroFzdXU1Tk5Oot1uR6/XS3+Fkag+w3sFOrapTKIGDmgAbJ4pNgwzpNOg6ozcL80G\n0Fm7Yuw57BOQUafjAXERU3Hp3d1dduNUTZI9SQfkVTUSfI4yldJnRKSotNvtZssugFS1JqPRaO6A\nIr5tNBrNTXltt6eHSUli+CvtgXUAEdDQ+Py7AL8MACCbr1Qrhy6g17a6Vms6qhZDIKiOx+Nsf0Fz\ncZhPT09xfn4+t/EZNSOv9LzsIiKyHlxbraDn+/v7ufre7e1tKrIFrIj5zFn2B1wQxNm4VWhY+/Vt\nisfHxwQeQBFHKVuMmI03rqNlXSfnXLOfmgX3+/25iYPASXXowJLvrGUN9y0br+wNFbKsE6ix2Tlk\nm1W2hFbl7GtNsAq6ZFwCy8v1oQSurUqcjQAZESm0qoxL1Wp4RjX74OQajUYcHBzE2dnZHE388sz2\niCkbUsef+txav6btOD8/TyEfxyi4RsxrQthLpfUFYcCoPjciuIhI1mZ7ezuWlpbip59+itFolCUc\nGbB1EPxqWUzAqgyUYI7xA1pcn/+TuVpXjpxtceqerTq65wxEW09rvbOzk/vGs5NtYs4ET7/bR/YK\nwGbgmBJfpZVrOQS4ATBr2RCNbm+6ntqOWoPj8vJyBs86qOv169fZ3qjk5LnbG3yeaYNErlgg62qt\ngMyISBCgtGItXJd19nnWHHhSorGu1tNBQ+PxOGdkADSYRyBF8iX4s1f6EyCVTezs7MTp6Wm2BjoL\nYDKZZFfB5/76IgAAoZcaWqWlZEw1A4A8l5aWkroiKFlcnM6vJ7Y6ODhIyo6jMAYTamSMKDCIGeXI\naGXhWsQIc+p0Kw75+vo6ut1ugpOISGP3HRExF6g4VJ8BCKFod3d34/HxMX7rt34rPnz4kEKq6nzq\ndbhmhm7Dy+StI8GiTUoNHDEbPFMVxzZSBTgV3etMqG1JNiUk7tlV7QTKvIKW4XAY3W53DrkTJbo3\nOo9erxfHx8cxHo+zbQ6QBJpQ9pyywCLwYTEEe6xJLcFwbgsLC6mqrjoNDpG6X1YNcLjfei77p0+f\nYnd3Nycxsi2CuYhIoWQFibooaB3cR62hViEZJ42lETA3NzeTUYiYCXOPjo5iZWUlXr16FScnJym4\nspayahkmuhmQtBYAV7PZzL0LoLt+DNH6+noeE61cVWvqwJr9rrPHvQooxGdA38nJSezu7madnooc\nNWzf2e9Yvpo5GxCkbGUvOVHTuhGAEjLWpENXin0AXFoHc+3r/qPfAO4qO7a3t5cCuk6nE7u7u/H8\n/Bz9fn+u84MImJIeC2kq6vn5eXQ6nRRBTyYz4SwQroXYPRLsAhVYpSpABtIxLBIP00NrxwR2i626\njqurqxSjovbt/wqUgdSIyBbw+n1895Rt7n32LMAXAQBQ0rLw2jOPHkO3Q9So5bW1tawtf//99/k5\n4/E4e6tlzbX1hlP5/vvv52YH1Hp2pRer0hxlGhFz36996/T0NDMAh07s7e3NbXLMBHQuaHNWsiAK\n+YjIVqCjo6PsCuB8oXHB5eW53hGztqaIWTDiIAS7Svvf3NzEmzdv0pnYkHVYjeDmexqNRjIlHC0A\nVvvA63smk2n7kIAJrLmWiBk7gSmKiKwrN5vNVNoDObIroKT2RPteJ5zJXq19LcUINu6DQ9PSVpkk\n19lsNqPX66XtVMGWWrU1xrDIdlqtVhwcHMTx8XEsLS3F3t5eXFxcZKBUz9QqyS61XPkc9rmxsZEl\nJN0CZgKYoeA+UKb2g2x0NJoelSyLnUwmWWqwjzACnLigCtB6jp6ZbJgYtVL2m5ubcX5+ngBTpgdU\nKDfJ5Ov62+sAo4zS8waulCmwXHXuvucGhCk3YK0EPN8BHD88PGRrp73LP7heNL0Du/izKih9KQiu\nYr7d3d25YTkRU9D/1VdfxdXVVVxcXOQ8kDpSWcZuLflA2XSz2UwgUW2HP1YyqDoFoB0QdH/Wm+3r\nqgA6IiIze8DXiacSA+eqmEMB/ABHWLuIyHKuEga7knBFRDJSnz59ylMZJ79pA/w8Xq9evUqnhQKM\nmJ0tblpcpzMdtysDrJPcTMaCIPUjU6CifARdwdPvXuhXiNe/2XCbm5u5ie/u7lK/UCe+/exnP0u6\nU+1PpoF6VV/2fREzUQ4Qcnp6mvVyYOfdu3cpwqlKWIKpOlNBcIPAjTLVyhMRc4eHaL0SVExNAzbU\noP3/5uZmREQyFKg1YrT6uRgH+gwnqQl+Hz9+jLdv3yY7U8fk1rqgwAQ0+ZmImZIfuDo4OIjT09N0\nBO12Ow+kubq6in6/nwGVGA2tXNXgnqPgRawoIFQxJRZDMFhdXU3bQEsDYtXuAAGBVoblGoAR9deI\nyA4ALXKyZJoTw60I9mS22AJgmB2ur6/H/v5+nJ+fJ5jz7Nvtdh6i41qBP/cL5AE5go4gWzsdzCuo\n4linBH748GHumXu2godgHDEbB9zpdFL172c96/Pz88zIW61WjlE2nXMymfbqAxl1SFG/359LDMy0\nqLoUAFyG2+v1skMC5c/O6tRFbAhfV0tb6vcCYBXLEt3Jkh8eHuLdu3f5HnQ6G1Ne8bOrq6vJLvG7\nk8kku7H4IyLQenKeoIsBUjrgv/gkewEIQ+ObzApIoO4FbODtu+++Sz8raSJ4pf2QzFT2BzhUmgSC\nAE3zAmri8jm/vggAwPg9GDWxiEjkpz4oSO3t7c0FCIjbZhsOhykiRLVtb29nzZwT5wRtYM6zKmZl\nkjIbGezbt2/j6uoq7u7usgYpu7q5uUlnIEgLahyu1h0OtdVq5eY2M5yTaTabcXJyEk9PT/Hq1au4\nv7/PGh0nO5lM4sOHD78EKmpmZbOiZAXgm5ub2NramhMi6cvnkNBrShY2uhp1p9PJ091M/OKAOEx0\nHgCkhre+vp4ZP6S+v7+fR3vKltCFtY5e/84GBoNBbG1t5d85q36/n5MlZazj8TjbkAR5dgW8yVhQ\n1JPJJAaDQYr3BA0tRgbdaItSG61MDwCgraqWUThNGfr19XVeS53rgCmpmd3NzU0Ku6rQTZaO+ueU\n2Umj0UgamD06m+Pp6WmOpQEkBXL7g4hMcHt8fMw6uT3HeVdmyj12Op14/fp1XofM0gyGiEiqvopu\ntdKtr69nqcx1GgSmRqyz5aUID2sRMRt0o0uEDVxcXKSviZhqCgBJay0Tts6CFtAO3Aie1re2Sz49\nPc0xYgK6DhBaBOypvVE7S2qNHPCsOoC6twVethAR2eqrdFrLI9hIHRq1m4Z912PQW61WMofWxFAr\nrArQ7VmzJaU/dXw+voo5+TzgtgIWZTh+CJP3udP/ERGtP/3TP/3Tv+uL+Nt+/dVf/VUaD+UpqlaN\nv4rAzs7O4ocffojT09O4uLjIWfw2QKfTydnleqS3t7fTgdQ2EjXiiMhAW50zB6P+V9XNxsGOx+NU\nzTNUVDyHW5G193OGHDSUr4YNjKAII2KuFqglB6tB3Ia+lOVPJpP4+uuvs0RSqWefETHLQuukRGpa\nqFv9X/2zZrECnaAcEbm+1Prq1mjwKsJzjK4MjyMCcjhLaxERczVUNCsqX0Cp/fOYkiqSAnasVURk\nnV12CvQpmwhKArs6+bt371LUCtz53UvZQyDzPahe7IvhLbV0xUlygq1WK7755pt0dI4gprJXehDo\nI2YO3r1Z0zrnwWfUYVaegfV5+TyUwuq8BrVua1h1EH6vJTX3CBAAnmxxb28vfv7zn891UshoXYfA\n+fr16zg6OspShs9ip7VrBavi3+pa1VIg4O4l2KD7AXyiYfsce1P9imsBCKpehw3XSaUVXNGd8DN7\ne3sJeHwGwOdnJDkVCNApKM9Z/5/97Gfxl3/5lwke7u/vMzmxnnwo3/YSRFSBLBYKW8mXACpsS/mH\nQFDQruBDCcledU0RkfvfGvAv4srOzk58+PAhIiK2t/fn9uWv+rW6uvh//JkvggGoQivjWxlLpTa1\nYcm6BGTtaB8/fsye4OPj43j//v0cuAAioFX0YhVKoSihTsIe9WcbVfbAKThxMGKW0XDcgrVaOOqO\nA6cad41qXqhTKFc2RdD29PSUh7Cg0aowjuPwUuuElqvwjXCHcO/k5GSu60FvsNYbjoSojhOvGRTK\nkUiKEz4+Ps73ra6uxvr6etYhPW/CJPeJQZGdCpru04ZH+TUajWR8ACjAAivgGQIAAFCdKubZV+Gc\nILGxsRGnp6dzsxdkZ5xbRCRjYiqcv9e6eAWYVdQGAFchWS1zLCwsxI8//jgHNiqzwI4EgRrgBCsg\nU7DChN3e3uaMf8+X87UXaxlLSYQdjMfjBHVArgBxdXUV6+vrmSXSElSK3IQ7+xdQxepVnYFaNnAT\nEfHzn/88O26q1gBA2draig8fPuR5Glg/92dfKDliXirjZb2doaBuLiOXmPA5PtO+YM9KEYC2col1\ncwAT/ULErOVuf38/943nIJBHxBx4lp17bq1WK8tu/Bq/YH8Dh6aHelkDOoWVlZU5oV/tMiB+tMf9\nO/9NEzIYDNI3ADRV0FuBAN+FQZFU8DqvRtEAACAASURBVFv2dwX9zh6Ztoh//ucBfBEAgKhIfV09\nX0tYzcoETo4cehTYGbHaufG12gIZRFUWC2CUta4JXVszlar4dl3+jhKtSNVGtKFlTAJJLUWgDDc2\nNtK5qmtHRGxvb2dNcnd3N+fQb2xs5GlxNjlQQRATMTviFh3GUViTVquVP2OUrWBmDV2PGj+6stmc\nHlErkxgOhylS49gFvEplTyaTZExub2/zczm3iEjmhgPgWOv6e56eaXXSMic/I9hx3s/PzzmgR5Cv\n5RdrIID4fN0OhHOupd1ux9bWVlKb9ex0NHnVNNTpcn6v2b51o11xbzQU1QGjUukZrFkdiiIoWkM2\nKaOrdG1lOtyj34leI6bgUmBlb4IL8NdoNKLb7eYaX1xc5NHZ2n0rG2JtKuCOmB8EJcvlD3zPw8PD\nXItZu91OESCh29nZWV5vBe1YP+dXVEZAOQDjMBqNstShPGYfU/vXo8PrPlQqIrKrLZN8WGWQlO1W\nVlZSZ2DtBHvB++V68UkABeZM8MS4VTBrAmiv18s9OBqNElABHfUZsS/XKiM30bFOA606I+JXQ5A8\nSwe32QPVd47H49SySKw8n5fDhZRktI7XZ/o5v74IANBsTlXTHGq3251DkVqGOp1OnJ+f52CTl5mJ\nQKruZ672z372s1R8V+TLyUPoDJoD8LNQe6vViu3t7Zwq9unTp8zAtYRVrUCtS/l8hivrQX8T42il\ngZqrMKxOezs6OkpDxoBA6pw2AFLrvMCKDQs4yZ7U9rvdbjSbzWy/xFQImrI3DgGIU++twkRBuQ4o\nofblkIywVQuVEbhOoAHlWjM1WQeqEpjx7Ko4jn2wH9dZnSBgw+lVLQjGwM/5bCBNrz49RJ39IKvh\nnKi5MUFaqWRbjpeVoXsuR0dHWYOOiNja2oqNjY0YDAbpHJUQOL0aDGSgsrkqoKotrcAMQIe5WFtb\ni7Ozs7RtwIIATTbJ5gBzQJFugKBud3c32u12BgMApd/vp5DvpdistsrKFKu2wbP13JXYhsNhUsEE\netgR+4/Ox/173uxS4jGZTJIlwZooj0k8jIVGe9McVHFjZZciZroD3w+wsiPA3V703dg5+gxJCN+y\nubkZj4/T8dEAE70AYNFut7ONzlpT49uH1rTuFYJHoA1I58OVQofDYZbmrKdnSXyqpffi4mJuSJnn\nRDfgveyNf5VM2HN8o397enqKXq/3awECvggAwAEKyg8P0/O/0aWopOvr6zzqtNvtpuOQkQ0Gg9jb\n28sa1v/4H/8jUWL9fJnD/v5+XFxc5DVERNKXAkTdjDaeGlzNGCBLTgUVV4MuoV5V71blL8pYJkZU\nuLAwPVJTgOT8AY1+vx87OztzbAbEX1vuOAUIm7CHaAlokZWg5YEDAbDVas31F9MIoOOso/tut6cH\n5+jvFWxsSNn5aDSbfLi5uZmUOVEQBykYcMQcP7ah2WxmLVHGz6k5RQ+74/5fZreASb1eQNOZ9Rwo\nXUTELGPWYlfH80ZEBnzOluOvgJG9V5oUg8LOHh8f85RB2XedEcCOaqCoJRb6EutFPFiFj5PJZO6Q\nFjYSETmaVxCuTJd7AorcX0TMzYMXQDwTLMxwOMygiUKnA4iYUdrKVabisTlJhDZcZ9BbVxobzAzG\npLbmAs+VlZHNur8qrkQ925Ou8fHxMTUQtWzgMyUzABF2E1tFS2Lex9PTU2bvro+Ps64CJObDvwMI\n/EB9foYPGXIUEXMTNms5oZZl+ccKntg4MCLYKzU4swVgd0+dTidnXWA6AfMKaAX7ys7U3+moAITK\n2vC50zHaK589CPgiAMDx8XEK9xxEQ9lLCALxoZUYYkQk4j8/P4+ffvopIiL+4i/+IjeA7FV9DiIe\nDAbx8PCQqJ1TR6sy8G63G8vLy/nzRCUHBwfx4cOHuTYqFLjWnYhZUJHR1fvgaNyH1iTlijo97+7u\nLlvLHCzju18OShIsiI9cBwBANOhwlirMgrpRm6Z9VeGcP6MaXStABMRw4Bzr09NT7O/vx+XlZQKZ\n6gBqi5J6HyGT4KJWDiQJgAYLPT4+xuHhYToSTEmj0UiGRibKORkrDahExBx1CwjJdGVGqFzPCRsD\n1B4fH6dzxTS4J+yDMoXgVOlLVCsA4LM3NzcTxLAlztR+UQZjP+xfaQ2wMtymghw2RtQqGJuYpybt\n2iNmB+REzLJ0FL3vVT4SEJeWljJYY7U2NjaSYbBXq34A6KS+Z1++42VgxoJVMHhycpLZIlV4xLSs\n4b7Zdq/Xi4WFhZzHYU0Fc8EUENHVQjNUARhGyBpgFIBJL/fls5XTjCg2tMmI69qFcXx8PAcwfQbQ\nFTEbMMQWWq1W6nz8jD2CqVOCeikEBaSrH8OYVMGhdltZu3tSsry5uckxz0ANf3R1dZWCUgkUwWtl\n/CQzVbjLnxNG393dxeXlZWxu7v9fRKtf7euLAABajDgYtblaH1bz1CvMqLUpVSU7J6o9Cm2p9iST\nbrfb2c9aab7qaAWm4XB2OqFAYqhKHVQiyB4cHMy1jwkUULfaGefJUcr6a42W46qn8q2srMT29nZc\nXFzk+2wmGwd4sjauxc8CM5gR97uxsRGHh4cZNAXKr7/+Ovr9fq5NVTdzBpWSR9HLMpVBoHG18H/w\nD/5BfPfdd3ld0D/Hv7m5Gf1+P+nTCjzqoA+OBtUpg+d0BZpaM+TMTLlDYarx11PUPDffCQhdX19n\nuYkTd7oeupeK+iUdXwVZ9CCyMoGT0wJoAUsAUHAktmN/T09PeSStEpLvRdF2Op04OjpKWr72wD89\nPWWrI0aMQzeCuz4T6yE79z0RMQcC2DuGTcsrwFUBpz+3Wq2cO4FdwWJZC+tjfSMig3xlmvzZzIvB\nYDCn0VHeiphNJ/WZvlcP/fLycmaWSpjA287OTj4jGhk99cochJOulb3e39/Hzs5OrK+vx9HRUQYx\n/uD09DR9G8BWmTh+pSYYtezHZ45Go/QTavGuh8/jTwB8CQ1/gl1jH+zX3sLOSQCqLVdboDuyR+k4\nqv5ByRXDxKfqGKE7qYLSZrMZb9++zYFaj4+P8c0330Sz+Xln/xFfCAB4/fp1qoIfHqanUfX7/UTm\ntSbV7XYz41L7bDabObDGoSkQp8D75s2bDH4AxqtXrzJY1Zn26mCVLifKMzXupfiHYwcO6AFQXQ7p\niIjMQlZWVvLcdtRWPfXMQSAR0zrv7e1tThabTCZxdnaWZYZKM6O89Al7uTdDfWxsjphDc9wxAOW9\n33//fWZ9AAuHiAbmROvnQ+TEV4PBILa3t7OH+ttvv52j83wnR3pxcTHXHtput/O5myNPE4DWxi4I\nlsPhMKlsGQ6lsGtHTdZgx9lUAKc8UtuaZIfKPICla5lMJtneRPTn/7BNT09PeYywbMk6vHr1KoGv\nrHs0GsXXX389lwHu7OzkSXcA0GQyyUN4UNUbGxs5S8J1cOzdbjcuLy/jzZs3cX5+nmskGFp7E9Ws\nq/JWZS6UztTA2Svw/LL+vbOzE5eXl7nnBZIqTMQesC/7BdiqDJUkQgZM39BsNrPkoFsEmLHH2TVg\nplTQ6XRyyNSnT58yoPZ6vTn2oQ5kOjg4iOFwmBMcnSWgzCkxQHNj8CqoXlpaSj/g5wXxiKn+xMwD\n61o1MX4WZc8GgAZsgX2ovMre6KiIal3rYDBIP+e9SnrD4TCHg7F/48dphOy32ufPF9qPmBx6C9dW\nZ0xYc/et1Os7iEBfvXoV79+/j9/7vW60Wp93J8AXAQA8rE+fPmVWa+pVHRO6trYW5+fn8eOPPyYF\npJ779PQUJycnMRgMEvUCCWqKVK4M/vz8PA1ePVC2AeFDkqgoA14ImDg+31mFY53ObHKe+4iI1DkI\nXIIN1XB1XlAsWp6TN9WPaAqrYcgO1sD3RUQG+cFgEBFTR28ylxGplbL/wz/8w/j5z3+emZmNjwWx\nxtgUP2PTyegBFzVxWW5t66rZu7JERKQojvPqdrvRaMwP+6ilE2Ikx47KwjE2qGIvmdlLHQEAITgJ\nHsASBkqGW7tHMAic79XV1Rw7dHd3l3Xhi4uLpMb9fxUJCswnJye5nrKhRqMRP/zwQ3S73eh0OqlN\ncL3qphwj9oImBvMl25Jxn5yc5Nr2er2cC3F+fp4jlUejUZZpALyX5SJdApThQA7g6DnoliAEqxqC\n2iJqjTl5ZbeImS4Eu1THyCox2UsGKAlm7IJGpc7+Z9O1RHJzc5OsQLfbjYgpQAZ62Cd2xvXU4Nps\nNuPo6GiuTl11DJhM18lHYMLsyVarlQLqiEgfp2S0srIS5+fnuS6YMn6Lf2i1phMSO51O6qIkEp63\nUtPj42MCTvZQJ4EuLExHio/H42SllPzsmTdv3sTx8XECG99lzYg07etms5kJInFlVf5bR34SgCPG\nbDQamYDonvh1eH0RAMABDRwEOg/9u7W1ldmY7NmM8+rofvrpp8xy0E8+C9onbHnZ7y2bN7GuUouy\nTI7fd6CSbT6OzhAdwTxiVn+Hvm3oKjLjJPzsaDTK7EQ2/vDwECcnJxExm5+AYRiNRhnMZElVPOV+\njUWGtqs6PiKyzeeHH36Y0wcAJMALqr0qkYEm12qNTEusinA6A05B3dR1WAMBimPWbsRxWb+qCje/\nQeA3PyJiJm7S+0/xrT7P8VZlMdGXso0W03ovETOadW1tLba3t+Px8TFZHICgCpmq2Kzag9orm0en\nC1pKNVo1Zamel/t0TQI1RbbZEUSDgoxnrURzcXGR7acv9QNAUxW+1s4A5Qug0j15vrQNQIl1tX8r\nfU0MZ58tLCykMM51yO6tB1Gj/ba9vZ1lDvfKf1QtDQFq1bxU+/BnL6wIlsD+eXp6Sjv0jK1TPbiJ\n/bEBzANfsby8nCeZGoteqfz7+/t48+ZNqvubzWYyE9a6ioz5A/bmGfKLtQwUEQn+gIGVlZX0LXwK\n3wjIS0jYWC1DPD8/5yFXmFW2gnUF+rAk/t0zJgC1F6pt1O9TuqP1wYT8pgvgM3qh1SB7J2jpIV5b\nW0uUiA7r9/txenqatXQU7s7OTho+Km93dzfW1tby8yIiDY5ThL5rucFn15eAgKauIqiVlZXo9/up\npu10OnMCNFkkg5dpcuocH9q6HkzjcwQ5tDTnJKBwLDYx6jVi1iMsE0K9RcQvnQbo/gVybUJ1owmw\nfpZjfVnzV4ogZmo0GhnooXssAodVHXilU4EQTlLgqsGLc9rd3c2ODjVCmVZ1iIJ+RMw5Mv8nAGOb\nHPjiGWMerEu73U6R2d7eXj4z6u1a32bztU4q63QfWJPFxcU8nY1SXM0bO7S9vR2DwSD/bj0J/uw1\npQ2CStna8/NzfgbbsRYAG3ajBmqfBVjXjhP3JEBWdsUeZS8VxJgTX4c0RUQeWlPbMq0Fpk5nx3A4\nnOvPr62o9nfNngFCgd761UEzFRxWtk33ATaAYLIObSLwBXqIQIENNqiUcH9/n3T51tZWfPr0KZaX\nl3OgjXkTZ2dnCRCrvsgeJzSsoDlidnoopgKrGjEddX55eZm2xIfagy/nl2A07XPriH1hpxGRJVRs\nFn2TAWB8hK6UWk7xrGtJVeKkCwEIZW8AzuLiYuzu7v71c/0NAPgsXrJcYqdmczroxhQxD7zTmQ6S\nEBTNs46IpK3VixjWmzdv4vLyMieL+flaG4a8I2aDXKD2iNn54wI1qqm266Be9c/bcIIL50Q0xHht\nSt9DIPTy+1Fc4/E4xwELuhyKf7NZ1NWq8hczUJF+uz0/4MiGAsQEMKyFGlwdMsR51/q0eeE7Ozs5\nkc+9K81UsWN1PtZC/ZhWA8gZjUaZiXBw2BnO+/7+Pjs8XHcN/gIcexLs1MnRwNYEiBuNZpMNiR2t\nnQyUw1S3VwP2vZwmh2VNa0YvUDsjQ8Yn6D4+Piab4TPfv3+f9lIFW8oJglUFVGzrZUnq9vY23r59\nmwfNENECUmxeUKsHwbDL2jfu+QnOAoX2OdfLWT89PcX29naWe+zR09PTtFt27boiYk4b4J6q1qDu\nJfYiAPp3TE4VN3rRdzgHBJsk2Ap4kovKIgEHbC4i0n4AeWCIXQCPuh4kED5bqbEefAM0E5qyGWyM\n5GRhYSHZVz6A3zk/P8+zOATX3d3d/HfMLYbNd+v+ULIBbtxzq9VKVX7tTNrZ2ZnTmygpWQfMb2WU\nPH/Px+fXZ+s1HA5ztkQtIX7Ory8CAIxGo1S3C1KdTmduTnQdXEK9u7u7m47/8vIyvv/++0TmPkOG\n8ZLuqQ+foxAcXv6qoMDLxkTBc0YRs0zCe2vfbQ0ijBzN6xptaptMSYHRqmEpVwi4hDq19CDrjIg5\nBfpL6l/WAVjVGi8xYt1wQAQaEbCwnlXsdnp6mkFKUJcRVIqOEBODUXUU6poykEpDAmMyT86Z/TQa\njRzexFkIOFgNztm/DYfDdIyCcS0DeXaYI0DIkBPZDSd3eXmZCudKP3tugiQGCnhEkQMBjUZjrq4p\nC3PP1gLQ8j1YKMCKgr6CRhlbxHQK3M3NTeoBBH926zkq87y0KzYp8BHFWmOZtqxM+StidvYDgEX9\nDVyguT3rWhbCCAE59nqt0TtSd3FxMVvJrD+GUNAVcAkMx+NxzinBNgA3dQ4GxbxkQaZt31j7Cmyq\nBsc6Kn0JbOy20Wjk9T89PcXm5mY+Cz/j+QMTNenwMzVjBpyVyiaTaQuk58wPeF5YJOBUGar629qd\n4ZnR6RADWv+zs7Nk8OyRRmN2tsLV1VX0er0UGAId1ZfzxZWhAkQxnz7nNyWAz+RVa2A2/cePH+fa\nbLS3GXsp+6x0vK4AG/f+/j7r1DZNRKQgC+pUP7d5GZg/MyrZhAxBPVV7j+AZMZv/LjuvWUhtP2w2\nm/kex+b6pZZ4fz89chYalzmp38miIiLbgwAa1xUR2dtsw8umOSjZu+xS3dgGoq6t7YsCd8Rs81kf\n6+D51JpqrcvVgU8yEGsGyPm7TAs9qKxS2ZLn5+ekEiu16qhezE1E5EE3pvBRegMiAn9VP1eNiTWx\nxk41XF1dTcWxIM8BmjnA5tDMVXui0+Du7i6nAXomg8Egut3uXDtfre/Kfjh1Dla9lhME3AQegSJi\nFmStFyCINTLQxR5Vn1W68e/WU2AmnvWcG41GUsyelbKf2RbtdjtFfRExJzzzbIEawIioEKgEdDc2\nNnICI4bBtVcwI2MV4AXgiEjGgtDv5Ujo5+fn7KTA+AiK9k/NzGW6taXZ/gEWgFsAdTAY5DkUgqOs\nW6bviGssIJbJ/mIPujGUgXRbjMfjuLi4iIODg5yDUAWomFFlIVoXdsVfSnKUsrByVTu1sLCQjCN7\ndN2YFGr+yjRWAMXeK4taBwgBafU9n/vriwAAEDsac29vLwe6CBAyRQMher1eIvyISAel5rqysjKn\n/Edl29jQbr/fz2BZM7OIWRCvIi0OluqZSLAK1qDS5eXlDFQM2Gf6WShfpiE4uU6OS7uhoFyp99vb\n2/j06VOe6qWcon4mWFW60n1q6cIOvBTTuW/1ZYEWWgd+PBftRVA4x2nN3ZsAB0BwBkRDNnBV3Pvd\nZ8jKBEaZu2erNc8a9/v9pOJleNoVBQn3XpmBiBl7Yj09R/V/gejq6ir7mdvtdvasy04nk0nWcdfW\n1uL6+jqDsWxW+QSD0O/3Eyx1u91kZoxKFSAwHdbNOrvOCjSUdNDJns3S0lK2aWrHA3TH49k58xgp\n2X3ETEvB+de9UAWWdV6/wFRZAOwPuxWI2XxtzQX+1OgFazV3CYXWOyVGwAtYE3SUh6yHbNR9sRf2\nox0UCK+neO7s7MT5+XlERM5hEGBr0I2InAdQS0nKWNYC+ALKd3d3k1mxz0xVBIyVdLAq9k2t1/Nj\nw+H0iOHa109QuLi4ODe3nw8ZDodze7/W3pU8a5mh3iO7pD05OjrK5KJ2DPEV9ghRtCSKjdmjsn5M\nrIRKnDAjZmvr4G8evP6WX18EADDUhuOG5iMiHZTM6Pn5OQ4PD1OZb7NzkOZJe/jdbjdWV1djdXU1\ng2uv10txDoqXs/dZqHcZSb0elGO73c5ebc60qm4r9SaDZoiCIoeNCZC5tNvtudpbRGQv68PDQ7x5\n8yZ7YmuLoEy2ahtkuzJ7TIeAX0ecCvQRMafqpb9Qd5YNOgVR0EHroxg9X1kWKl6bZ7PZzIxHsAIG\nbfx6DabZmbMv2FDlc2K6PggMAaNWqzXXU+8aOEfPTCZSBZwyRFni+vp6DAaDuRKQAGECIft6fp6d\nJkl4V4VzNUPk/IA9a22WhFZUFCrwYR1kOEAG2/Gc1GKxYoK+2vz6+nqcnZ0lDQ88UGNbc/sAnW0Y\nEvBu31BpYwNks7WUAFguLS3lsyL0ennIUO2MEHQ8G8K39fX1nM+wtLSUPeXn5+dxcHCQOoEK/vS5\n8y21rEH4uL6+nuwOKhmA29zczIBYtQeSgPrL9fsOgEWW7xkp+VnjhYWFFAMCYFVU6rP4pHoNVVzq\nnqrmoPoOz6LRaGT/vH7/T58+zZUKe73eXHCvOgBdEbu7u+mXAbLKPkVEtnR67p4PzRDQCTTUF3CF\nieHnavnr8vIyZzXohPrcX18EAOAEqrAMnUS4x5Fubm7m6WQCpzoogZwskrPe29vL8ZgcqRpaq9Wa\nE9VEzDZQVe8yKIbP2TqfYDKZxNdff52BCWW7tbWVtNt4PJuWJwCgA6uKVRZaJw3e3Nxk7ZIx0wkQ\nHNlsMuKq0I2YnXUuo0HNNxqNDErD4TD7t7vdbtKbauLqfPQHAkwtGQiWaL3l5eVcK1Tc/v5+9lN7\nX23/NK5zeXk5Ny21c0TksxO4gana1YEq7Xa7OSzn6Ogog+7W1lYCRllbFcgJgBT0VUUvc9vY2MgW\nxojIYSbYKIEUQMUyqfVWDYc6pe+KmJ2457nKhAW33d3dpGwBCmzU09NTTp7j+LFO7Muzs+7N5nS2\nRLfbzczW4KiLi4ssByhLrK6u5n6SMVa6nC0vLCzMqb6BXH3eqPEqfrQGxMEcto4VwQBNLAjzHePx\nOGckHB4exmAwiKWlpTyF8ObmJra2tuLs7Cy2trai3+/nNXgefA/7AihpX2SmEZEggT0BWPxFZZRu\nb29T4Ez8JvGRZPBFgDNAz+9JjIyw9gyqEJpvZaN8GVtQUmw0GvHmzZs4PDycmxwKHGJ9MK2eLTDP\n50mKxuNx2mXVH0REAiDfUW3E3ud7IiKTj5diTIAZMGQL9fCzZnM27hjz0Wg04tOnT7Gz8yYifjMI\n6O/8hf7b2NjIzd1qtVL4JCsRzNQCZchVuWxWfqMxHZJiiEylQCPmlbdVxBQxqyUxFn+3USBuoEO2\n++nTp/wMDtDJcLUm7pdAUq/NxnWNhloQSgrqkHStuSsj2Owcrc9TH3X9EDpNgVMYbRqZEcpZVlpb\n1ZRIahmhdmbIECMiRWbAiu9W8kF128Tq865FxudZVCaGU5E5vdQNbG9vJ109Gk17+g1RqjoB9Vr3\nXjPPl89W3VimHxFJ/y8sLMyNi+XMZEvslZjKmtBMADGoY4NVlBIipoDOgUDqnbKfpaWlHLBk7SLm\nZyusr6/n3gHMPGdrWUsIrkt2phwi2+NoBXE2CRCylVZreqpmpWcBYPuIbQOK/h4RcwC27n82hfaX\nSLCPpaWleP36dZyenmZ5iD1XgaHDedisfaVU4H7qe+ggAEJshAQDAzkeTyeQsp3JZDrcJ2KWCAGx\nBt7wF4D+8fFxMhb0H+x8NBrlNEXlllrGs7/Q5jVJODo6mvM/33zzTZyfnyfIODg4iHfv3qWAFAMA\nVJl74DkAT9YZIAIgfNft7W0CV0kFIAT8uD++RvBnxwTH/X4/GQiJFz/LTjBMv2kD/ExenHx9yDYP\nqjBiJjh7enqK09PTX6LV2u12qnojYo5e9qr1/RroXwb8Sg/5O8Pzb/X//Krippc111rH9v9+xud5\nf2078/N1jWRv6r51I4/H47kT0KBvmSMx4PX19dy55sfHx0k5oxc5WyAHaLCZZeEAhfegvYnPrD1H\nbKLYxsZGvH//fm6ewKtXr7IGbk1q1lVLPByZIIdFUvN8enqKw8PDdNzEpASiarwyUhk6lkCbU6fT\nyc+MiFTao21lndgk0yJ9r5pvtfU6q7zWXWXZqFC2ub6+nhlbBQQCMaBLuf1ysJTn6FdEJHWPsXJf\nmI5erxfHx8eZ1dJBEAcOh8PY39/P/QoIsm1lBQNx6B+Gw2GcnJxkScOwoV6vl50U3q+jQWYK4FU9\niCDX7/fzOWGqBLDhcBgfPnxIXZH3Y1EwP0ownn9EZIChS3KvRI32EHYBsFhcnJ4bgOG4uLiIw8PD\nZBKBC2UbzBa/xY5cqzWnXxqPx6klAQSUAwFefrPuZS1/GCj7GuMYEQnEgHglEImJNdzd3Y2IyDIX\nvw2kYXr4K/5Duczabm9vx8ePH9OGHH5WhZ7AM/YCA0jUWH2exI5f3NraSpZk+pmfvxDwiwAAS0tL\n8fbt28zmZD7Hx8fR7/czoPR6vWg2m9Hr9eLt27fpxAREQjgCnR9//DF/DtUuc1R/XF9fz4ANcdZM\nU3BRHxbo1KGJpFw7h4yar8yCU+6genXvmoGiYgGBKtwbDAbR6/VyUwIRr1+/jsvLy7i5ucn2LZ9T\nW5MoxwWlbrebWcPu7m5mk9ZFpuA6BF/nFQgY1k8N0mfWLJowhxCrCsZk57LYOrDJoTJV3S6QW7OI\nWd+5Fif3rAbtMzmGzc3NrBGaNmZN3Semg7MiHnt+fs7hVNpXPWe2UG2ltjTpUJARsUdsF/v13L3f\nZDXBodGYzrD/8OFDTCaTdNARkcwIO/Jv1s09sHUtk1VsJkOV1QFhro3CHogBXNT7qbXR/kCDgK3U\n4h6VWgzHUdcHItlCxCwQ2DeeVRXOKYHYwysrK7G7u5uiX2WFdrud5x3s7e3lfSgrAmOCrvV8mema\nC6EkAgy7HzQ9MP769eu5z6x/pt/AwoxGo9TQRMzGM7NNdXoCRx1O9qxOFcGw7g++rp6HUjVH1q7O\nPQEqlTFqMsKO+JmIyAwem1V9L463DgAAIABJREFUqeD//PwcP/74Y/o3wA07UwcW+UU8qgwgUcKU\n2LcRkZMR2U0dkPY5v74IAFCpHOIwwcAoYI6l0ZieWvX999/nhpGdNJvTIzlrnasatPog9XAVwPl+\nSNhno58jZrVytDCHztFzTLIz44WhYuwE5y+jqu1zFQzUDoRKMwpc2ISjo6MUANYWF5tA5uR9wEp1\nnGqK9/fTU9Levn0bP//5z7NNSpY5Ho+zd7cON7H5BGkZc9UcqAXKPKjkHx4eclrj3d1dnqRogBOn\nxsFHzFijiEjHK1NWuxbMI6aHzDg+tU5J8+w83/rsiR4BOestwKunX19fZxYkE11fX88joatmQE3X\n9wE2HFpEJKi7uLjIkowaNF1Fv9/PEbTa7gi4ZKlAi2FTSipshC0CC3XgSkQkkFXKwRwJGvU77Qe0\ndp0zAPDJ1OxXwrO7u7t49+5dUsOEgkCP77Y+9gMblg0KcBw92xgOp4fwAE6+o3bDYE0AF3aAhcE0\n0WPU2jUb0fNf6/C1FCcRATjNtMAmACxAUS1PLS8v52efnZ1lSWFhYSFnnezv78+Vy4w4BmLYQl1H\nZ4fYW55fxOwYc/divwHAgAhf61nwZ9aIHdaW2xqI6Zl6vV62afpurd/KDUAiG8HC2cP39/dzbaZK\nawcHBwlA+fjJ508AfBkAQO2zThaTfTjMw+z/q6urPCxmfX09sxMjK3u9XtZ4KKQ57OPj49zMtb1M\n8Iv4ZWq/goyqFfDvVNL1/HROVgCAXG3oKnaLiDkn4LsrSEBZmd0fMRu2U1vtoGnXe3l5mesZETmZ\nj6Npt9tZd+c0W61WHsYk2ANkaqPqlBVhV9Fh7eKomoMKcAQCbI+N7pru76fH59I9cLq1iwEolAn4\n3FqSoGHwvpolYxGAEoEOW8FZeE6en0y9tjqhOLFQP/74Y9aM3b92Oq1Nd3d3OVRmYWEhRaovW9sA\nHM5bWQiNzKbYkr5sNsY5Y7XYC+CL1RHEibcEHlQ4lqXWkGW4Ap1gJ6utmg/fBxgKtAsLC7G9vT13\nxkQF9VgK+8OzsZ4y3bpPPX+Aq7ZjAgU+fzKZZDD2ObJuLB0ACLh6RvU91tzaSCjsSbQ7MI8Cd92t\n1qyThq0DWbXcZdgXvYlneXh4mPuRz1lcXEwa3aFUlTlj7xFTEaNnEzE70npjYyM+ffqUXUpAnefE\nLlwrn25f1aOhG41GJkI0HIuL01G9hK61IwkgBaIxdUpvdTAYH8TePcfRaJSnywIgU//+fx2yfmWv\nLwIAcCLUpIRKjFhbGGUppF3rwc6Mlxmtr6/HeDzOI3MZxctafETMBdWI+bo+B/ny79XZCO4cs5f3\n2LgvX64pYkb9V1qqfrfPi4i5evxLESMmoqqAvZx+KHhU9oEjc60VoLhWDAEKr64JoOGzBa9ms5lZ\nuM+2MWvAQw/KhGqt3Bra+Da16yLKEhBkHxTwBFkbGxt50hmAVG3I/fs+37G9vZ0q+LW1tbi9vY2z\ns7MMhq4jYjbaeTgcZs9+RCSFSrjlbAJBwsArWUpt4bIHWq1WXF1dxf39fbbcOWVNyaVmepwzgaf1\nsf4CmgCPzaLRuLu7yxLZN998Ew8PD3mmOhAgYAGF9pY1EOjrOgvoSjNOoVteXs7PN2xnfX09a+gV\nVCqDtVqzEz6xRY3G7OROdlHLLa5H9k4YRqvCXtDWWDOBVueILHx7ezuOjo5ie3s7AS4RKNDx9/7e\n34sPHz7MZaroeyJFe8n/0QgoXeqsWV1djZOTkzwMzXdgOoE9gE9WX1keYLaW0tTwgQh74unpKV69\nejXnW9mWz3GNfE4Vq9ZjuIFYz8UJltbcuQeSm1p2c720O/WERYwf/wMkKsV61o1GI0sXv2EAPpMX\nIcvT01Ps7u5mpvrw8BA7Ozs5KAJtyAnWwEwNPJlMsq3p66+/TmPc2tpKqpYjJ/ixyRiywCdIRsSc\naKvSeeg1PejNZjMPBartJ2ZYyxAYqu8T0AW6ygqgz9CYBnK8evUqQZOgUTNl9W4Z8z/8h/8wB3lw\ngO329PRCh6tw6PrqiXJkbxGRGV0FH3XiIZERqpjjtebGidIW6P5QR63DkFxjbdX0XZA/J8dJy2ar\npoCNbGxsJGsE9MheOBDz+NXLa6tRszk9Pvji4iKzXZR7ROT9YkxkSWYRUOlPJpM81tlBLihONi5D\nQrETaC4vL+epdYKNAGK96DDYElGo566EUXvraxlCf7YBVADLeDzO72WPj4+P+RyU8Kx3rZ/7jpqZ\nr66uZpkJ1e//nfshMPtdlwO7sp51P9EwRMw0A9UeUchoaEEXaCCGtFerDdbJd0CO1renp6e4uLjI\ngL26uhrLy8vxww8/pK+zZzB2k8kk9vb24vn5OU5PTxMAr62t/dIepCtoNmdzGQTi3d3dPDxpdXU1\n++03NjYyQ3bP/BqgCYTQntjnsnEHrwGP/LPgXQdX1fLI0tJS9Hq9FDTWklizOZ3MSIBp/xArY80w\ng/wrlnFtbS1tEGD3ewWzL4GxctJvGIDP5HV9fR07OzvpTDmth4eHOD4+jq2trVT2Li4uxm//9m/P\nOTOO4OzsLL766qu4u7uL1dXVODw8jEZjqp5WH7u5uYk3b95kayGanqiKgzAvoFLcEbPDgtBPRFvq\nukbBdjqdPMaYE/f+SpOh8FCjetOpWgWpOkgIlXdxcRGDwWDuRLd6FrZarmxxOBym8+YwI6ZUn4xD\nTdvnO6JXoDFtcDweR7/fT1RdwYt+dqI7NHtF+5wy0dTJyUlSdDb4y8wf5SqQEC8pRQBYsnNOU7D/\n8ccf8/3dbjczAwNOBA9lHIOG0OsCuXJLr9eLo6OjVNFHTCcBfvXVV/H69et0lO5bEGffZ2dnORtB\nxiLbp90ATAFIVLhr850CqSFGFxcXyZZERNbX6+FQEdNAT5zW6XTy1DmdGezk/Pw8KXvKci1iAIp6\nbK3JCpy+V3mvjqXWAvrNN9/Ed999F1tbW8mKqHPX2rT1H4/HKXjFCPp/o4QNf8HEeJ4rKyu5j+zv\nuk/rpDv/BjgClJ6NpMBeXlxczFY8+1Y5qfoRtnl3dxffffddgh+MhhP1qh0DekCqrhCZOmaLjT0/\nPydYATowiABqq9XKltjKYFa7Byic2ocdsccNTms2m1k2xEAoRfINKysr8erVq3j//n2uD58l0YqI\n1C7xe8SzFchJCPio0WiUJRLJYETM3ReA8BsG4DN5VcdAsCM76PV6eRSuDXR9fZ0ZTVW9Xl9fZz1V\nZqO96K/+6q8y89nZ2ckJcxGRwfLDhw+ZNajfygbQkaakySi0KWprU9OuVHZE5DwDYGEymWTg9p2D\nwSAiZscQW5PqWGTWldYmEOOUai07Ygqwfvu3fzvnhdfSACdnHbEJEZEZAxpdLU12WrNGP4uKFTys\nuVkA+rOd9EjoZ4oXZ+DzOITn5+e5zgDlIPcAoMhm9vf34927dzl3H8MEfGmzqiUEgBKtiHnyfHx+\nBYh0EpUpqsIohxhxxlih/f39uYOqalcHkVVVNtNfYIT29/fj06dPeT7809NTvH//Pq+R3bXb0yNq\nh8NhOmJ0sWdEM6OlDUUq0AM72jb9O5pWgLAPqqaBPcgMdWqomTcajTg7O8sRue12O0VcmB5gwD1Z\nwwpK+RHPxM9sbW3NBTLsFa2QLqNaptre3o7Hx8ccuqWNsdFoZLtnbS22z5rNZhwcHMQPP/yQ0/Lo\nfajOrT2fV8WqtbW22+3GwsJCnJ6e5n7qdKYDcbRdbm5u5pwRkyF1ISlFYDMrIOenNjY2UiRo9LXA\nzS/Wz9vd3Y3j4+MEZkoxm5ubWfJA9VeAU8sN1u7jx4/x9PQ0NzsCO8AurC120Odoe8bc6Lpgb9oW\n+bt6nkYtI/46vL4IADCZTOL8/HyuP1gbS22vQc+Nx+PY39+fE3twMFpOnp+fo9/vx08//TRHG7Va\nrTzh7GUNDppHdQmUAiDnX2vZ9b1+DjqtArz6Xv9WhX81IFfB4UvRYcRsiJF/93nupdawXU/E7BhV\nm8s9uHbXKGuzSdSYbeB6Pjghm2fQbDbTSaKA/VmgE6QND5FVybqqvkEQrEyDEc4yGswAgDWZTOLj\nx48pOOLoZDECkIweFRsRSRliLgA66+b76uE3AGtE5OCaiEgWobIoNQj5fGtOPe5V9SaoUgBjMBhk\n6xdWQ5bpz0RVZ2dnsba2lg7SXvH99/fTw6aUxqrI8vn5OQFv/TflIvZLnOVnlDEEKsEAiKWmV5KK\niL+ezraTwcV39Hq9HNwTEakIt6exInVfAuDAu+uyVh8/fswpnRGzU+tWV1ezqwJzBOwoqRG2PT09\n5Vhe++2nn35KO8SYWDv71dorPykTSgboYlz/wsJC7jl0O/+l+4Bf5JNq264D0ZRNfP//TPcSEcmK\n2LP2zOnpaf7ceDydNfLmzZsEFfxxu92eA3/8EJsHTtjnxsZGBng2jq205hEzvYtyax1lTFTpWTq/\ngKCX8NLv0/0cn/3r7wQA/NN/+k/T6X311Vfxz//5P49//a//dTSbzfid3/md+Df/5t9Eo9GI//Af\n/kP8+3//76Pdbse/+Bf/Iv7kT/4kHh4e4l/9q3+V1PS//bf/Nnq93v/2+wRzjhKNvr6+Hjs7O3Nq\n5tFodkwtR85QIX69xzITtJOAWjcK46pBT1AXJCJmAVhGCnVWER0BS0QkQoWoBTAbUHZIR2ADCeA+\n371zOsokyh6uUSYo869CRxv67du3eS9AinpixIziFtBkzv8fe3cSIvmanQf/xJBDZWVGZuRcwx36\nqltqLLmFm25DWy0jEDY2eCOQFpLBG9mghTbSRghhtLNXwjsbvDJo4Z02HjbCNrQHgYwN3lj3drtv\n3VtTVk4RkUNVVk4RXsT3O3EiumR54OuuVnVAUVU5/Id3OOc5z3nOeRkxOgoOxphvbm7muMrdu4/3\n9izat4o6ZpX2nAADaxOLoBh3UTlwAnBZJ05CAzrkWXu9Xv4ch8UgSOswjhyzNATWQmtUBrWeSmdO\narTKUVkPjOL8/Hw2oQF6aikYgwYkcGb37t3L0s9ZMClSA6DRpSJN0XFd08pVK0uBkq0AE9PmfWqZ\nKhoarY8d84yYF13vaCIwMxTxDDtHS3TnaxGRjhUAq89pHkStCwsLuS/sUewER3hzc5PCNg6YSv3y\n8jKbHlWqXRqDCl35nfQHsTImks4ImLOPrX17DNuAtcBEmktrx3yrxwdGUPtslUCILazjWwHT3Nxc\ngmTPfOfOnXjx4kV0Op1kd9gn46NMtKr8lSrbp6PRpOeIExIJHIfDYe4fNr2mvqQEsSS0B61WK6l+\nYMnPASFsEpt+eHiYpa3j807efgTwfQcAIpnf//3fz6/92q/9Wvzmb/5mfP3rX4/f/d3fjX/zb/5N\n/PRP/3T8/u//fvzBH/xBXF5exi//8i/HX/krfyX++T//5/ETP/ET8eu//uvxr//1v45/8k/+SfzO\n7/zO//Ke7XY7j3hlONTJcggodIu60qciCIaH+pZBIoZhWEWgERMlPgfEcFhMETElpBNxYCNsDD+L\nQgcUGLUabVf1NDRvw3DCEZGUHtGR/Kv/y+2jKzmuymoQV/lUtqT2MhCZy4WLuETHrl9ziLV80PNz\nDnJ+vifXj86XoxXFOO61HtkLvDQajRQQmkeOvoqq6CiwEMbbepqtCjBnWCaCSo690uXSMYwWWtbP\ncU6iyIuLi9ja2so1KZWgSQllufx17Y6m6oUqPiKSHm21xv0klpeXsxEVil2kWs9V9wdFKoXGiDOe\nHClw6rwNjqGKOTmSWvJam14BQOaI8wOCOHZzxPlXcMUZaCDkXhGTfL2fs38BAflzwIlzr6Jfztpe\npBuyz29vb3MN+l3gzVjWg7yktbBeDjerTB6gZU4jInPwauQrs+E52CP3FU2LgKVzrAMiUGvK/ADe\n1f5VwGldYu1qJQuhtn0K3BNOzrKW1fFiC8yfIKkyGH7WaYSj0ShBFLtbNSnWVwU1wBftE2aoAmkt\nqPv9/o9OA3zT5+OPP46Li4v41V/91bi5uYnf+I3fiP/+3/97fP3rX4+IiL/6V/9q/Mf/+B+j2WzG\nV7/61YxUPvjgg/jkk0/iv/7X/xp/7+/9vYiI+Nmf/dn4x//4H/9v3dfEqqmGiC1eyJtxXFtbi7W1\ntXRAV1dX8Ud/9EdT6vTq2GuU6+9K9fvZ+sfv1Z/z7+qA/LyFBq0+fvw4NwDnXFXFlX2widCfHI5I\n2abd3NyMwWAQw+EwXrx4kSh5c3Nzaiw5DEayftDqNcp9+fJlbGxsRLvdjr29vXQWVT3earXSeNXe\nBgAQx1qjUpFBpRWVVlXKjuaDUpcjqm1qOfgqAuRYUKA1b+69iejULlP1A1gRkdEN0CQ6Je6qzZQY\nEh3kHCzjOowskRxnxmAz1tZCrT0HDEVyDLPfdcIehyJK5RQxGBw2sEYcODc3lwbSumVQaU9EtNIN\nw+Ew6VOG15qugIhYtaaPOH/zwzFRcAPI7fbkYKB2u51RMpBa1wuWRQoCq6GHfC39sj84CZoGqSvr\nDMVfa9orSBSdo5NVbCibA5j0rai56IhIJqHZnO7hTygIjNQ0ivH3f1Q+EaRUG6YFEHCdyioCFgCX\nFJbAqqZYgANAw/uoznJ9dsZ6lK5YXFycOuHTOqxskj2gKoYtrGLviMi9h32rqYvr6+spRs/XdT2s\ngEjtP9AsaHzbP993AHDnzp341V/91filX/ql+Oyzz+Lv/t2/O/V9JUEi0fp1p7sxMH72z/r8/M//\n/Pd87a//9b/+f/zsv/RLv/R//Dvv0ueb3/zm/9bPffnLX/7/+Un+/H5+7ud+7gf9CH/uP9/4xjd+\n0I/wTnx++qd/+gf9CO/85/sOAD788MP44IMP8t9ra2vxJ3/yJ/l9daUaovioT69ff/nyZXQ6nT/z\nnv/yX/7LVGpubW0l9f/5559n69bV1dVYXl6Og4OD2N/f/57oSRSIJoMIB4NBbG9vJ8XUaEz666Pf\n0MQiLJSziFLUgBL2nk+ePMnoGM0rWlPuVb9e6XjROSTqZyh6W61xKZNI/vz8PAaDQSwuLmZ5YUQk\nja7yoNY+V4Hhz/3cz8W///f/PjqdTiJ0tHTNA8qXOmt+c3Mzo1qRtYgXhSf6qCVTVXCFORFl1pIm\n+egHDx7EYDDI/Kt7eR+pIWxPFVBWnYP7eH/RprysuRW9VPFnFUMZf1+v4kaCrSowe/XqVfz8z/98\n/Lf/9t+ytA39HBFTFQs1p15zn5WJEjlX/QB1vJLNeq6EaLWqr2t0bx2haX3q/Il6a3lXxOQ8Bip4\n/TiqxuPk5CRubm7yZ0XfRJTNZnOqyQw25+joKEtff+qnfiqePHkyVQKJAvZOX//61+MP//APU+RY\n8+feBT0vWjY/NDQiWFFkraqZn59P0Sj2AcsgzVCfR/7bcxBWVoYQS1Vpd+OEibBuPYPxtXeazUkv\nEOm7Gtlb15pb1TSi+cak0a+Yd2vO/dmL//Sf/lPuDc/U6XRib28vn829rV+2r9pjKT1lorXSRnoO\nY+de9qU9WJt21Xeu2qz6wUrVZmNVtN1sNuPDD7/8A2UCtrZW/syf+b4DgD/4gz+ITz75JH73d383\n9vf34+XLl/EzP/Mz8cd//Mfxl//yX45vfetb8Y1vfCO+8pWvxD/6R/8oabPvfve78eM//uPx1a9+\nNb71rW/FV77ylfjWt74VX/va1/7Me9aDH/b397OrX6/Xi6urq9jZ2clNMjc3F91uN2kwjvvk5CSe\nPn2aOTEGcTQaxePHj3ORo779qU4kYroL4Oz/Z1MFNiYqnBOvNbCz1/J1RsW9ax6d83n+/HkaVRtR\nDvzy8jI2Njai1WrlWeY2PiMvH2lzcPZofc/DsNMGLC0tZQtRtF4VMqo/rnnIiEhVPgMr3+/dGTm0\naL/fT4pcPnhnZydB0KRj1yjFPja9MWS4CbPW19czLy59ZMxqDwTGn4hKgx1lbJyPssWISf05xy1l\npXOdj/cCYDzr1dVVlpNxjtZo7XqGpkcb02FoJMTwzs2N+6crQ2ToGT50e7vdzi51FxcX6Tg5P8LM\nKg6jUK9NuaRc6ISMY6MxVrFvb2+nAtt6rYCWQKzZbMbm5mamHI6OjiIi4vPPP5/K8wPqW1tbcX09\nOftBSZe59HVAfH9/fyrnTXG+vLyc9zLu9AFVy0BDACQAn+bh5OQkVfYOw6H7YAOAz/X19RQI0luY\n236/nyc8etf19fUEFgB0PUBLaaJ0lrnmSOl09FIApuhUqqbBPAJlVYxb/z8cDqPb7cbJyUk8e/Zs\nquU4wK7/iK+p8rBu5PVrSSOQax9y0nQ47CcxMCAl7eVrxtX7oPgvLy+zgsz6Hg7HjaxUX7ztn+87\nAPjFX/zF+O3f/u3423/7b0dExD/8h/8w1tbW4u///b8f19fX8WM/9mPxN/7G34hGoxF/5+/8nfiV\nX/mVGA6H8Zu/+ZsxPz8fv/zLvxy/9Vu/Fb/yK78S8/Pz8Xu/93t/5j339vai2+3mQiZqu7y8zFKn\nqjDVirMKz0SXjLLojCFiEBid29vb7DZVxTo2SERMOf2ISPQIXPh/LZHjGC1qTpmAK2ICNqD0Wk3g\nffxOZRdEN83muOxlc3MzT0FcX19PJG3cRqNRdDqdBADycVX0Q+S2u7ubJVkchXddWFhI9oFjOzk5\nyWeRg+WoRdCAEKejtp8Qrnb/8r7mWX5W1MZhuw7lM6eHmWA0gRHPb7zNC0drbdTI3L/1ZahRtWhC\nORJnYE4//PDDWF1dTTCqtKl2HBS5eXfGmVHmNK05LAHmJiJSMIYVEBkCtRymde4Zh8NhdjGs6nxO\n+eTkJCtxAMTZMTKuEZG547t370av10tns7a2lpE4/UrtkPfpp5/G3NxcPHz4MHUNRHUchAiwVgH5\n1Oi6duyLiGwrXsVqrda4jTJHJgBgUzAtAEoVuCpJW1xcjL29vXTWbNbl5WV2whOQ1Bw0ewDgeV96\ngu3t7SzDtHY5tNofQ3WO+cBuAQv6mwCbERMRYR0bmh/2zfU4WoC3Vn1gHDhy82WNzjIpVchY+z5g\nBoARduTBgwfx4sWLiIj8PmaI6Lm20RZ8uCeWjKCz0Whk+2t6FTab7mRr6+3vBNQY1VX/5/Tzz/7Z\nP8uGHg78efToUdy7dy8ixou40+lk17Kq0Lf5Ly4uYn9/PzY3N6Pb7cbr16/j448/zn7RHL3hrMP6\nJgFgjfYrDQdkMGocid7jogmGpdJvNkW9dwUg7gkoAAa1gsD9IiYby/08D+RcBWV/62/9rfgX/+Jf\nTCmK6+ZnIIloKkUnPUDwZQw8Y6XlfK3WOEt9GCeGhmFGZ9eSKOJSAMWRwTXFYW4YAacwovwZCc1r\nGEsUOmNvnoAl7wlEuG8tOeRsNbB5/fp1/LW/9tfiP/yH/xDN5rhN6+7ubhwdHeX8eVdjBeRUQWgV\nTkaMVeIiF3OHDYmIFH8aO1SxfVHXnQ6OKmgI0qS2iDk1aKHsB/SqMxUlAwbuXx1MTZFIidS03erq\navT7/YxaNzc349mzZ1NpDY6FCO/rX/96/Lt/9+8SUFtXqjhE7QCD563HzBKaWf+9Xi/n/+Zm3Fyr\n1Ro3FeIAK4DnvGuDqirYvLi4SEZLQFLTcRcXF2nPKutSK5ewYn73+vo6z8sgeOz3+6mgl1KpJXwC\nCSwa+1KbhFlv1qE98c1vfjP++I//OO3J3bt348WLFynCHQ7Hjbg6nU6srKxMVQ4AMbUUrwYTdW7N\nx+XlZTp6aWSAHyMniKvMarVHtbqDjYyYMJ+AXK/Xi/feey9WV3dyXn4Qn7cyBfCD+NhgIh85xu9+\n97t5CqDooNfrxf7+/lTEXyn0drsdjx49yhIqamJRM7U5FF6VvhEx5fAjYuoeHB3HOltBYBO5hpwk\nGr3mRSuDYTNqBUpZjo6ulO+dO3difX09Vb7U2hGR1K0oS8mL3HW3241msznViEUenHNGldtc3qe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QTkwpVR2ehLS0uxsbGRNcMRkQ13RFiilVnRkIUcMSldtLDlztV3i/CACe2RUWJVA6DkyUck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\nLl26ZCwFdrt/xlHOyK2zVLZrqYhzfKClsXXr1ujYsaOJkFddXY2rV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S, freqs, bins, im = plt.specgram(x, NFFT=1024, noverlap=512, Fs=44100)\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Frequency (Hz)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### `librosa.feature.melspectrogram`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "`librosa` has some outstanding spectral representations, including [`librosa.feature.melspectrogram`](http://bmcfee.github.io/librosa/generated/librosa.feature.melspectrogram.html#librosa.feature.melspectrogram):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "S = librosa.feature.melspectrogram(x, sr=fs, n_fft=1024)\n", "logS = librosa.logamplitude(S)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "To display any type of spectrogram in librosa, use [`librosa.display.specshow`](http://bmcfee.github.io/librosa/generated/librosa.display.specshow.html):" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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e5hTTguXVZbJO1rz/uqxx1hElEba2lEVFnMQk1tFd7gEHRZJCBCL0aJhHI4DL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\nUBjefPFMDhw4mKZldnBUTIK255fWuzZxr3YOtX9rx6qF+mvHB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "librosa.display.specshow(logS, sr=fs, x_axis='time', y_axis='mel')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Autocorrelation" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The [autocorrelation](http://en.wikipedia.org/wiki/Autocorrelation) of a signal describes the similarity of a signal against a delayed version of itself." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Using [`numpy.correlate`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.correlate.html):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(204800,) (204800,)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wn29+CP/55ody55cPSPOcsrn0XdfFPftfwpGlVu7PsPEyhg+UV7NQGoOv+Gea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HphjGPBDQO9ETfmw4czgIDdux2FE4+cFvkzRoMV9jW/k74RDSrlELXWCADm9nTgx99YWtWNP1EW\nJCmMoBw+AOiIT+mxWsYeoEale8iss6RTEnJZEtKf+Gtzogw+yfvS0rpxG/xqSM0CxMO3c/heu+aU\nLCFPteVVy0uNE7poTwvIaTc3KNh7IIeULMY2nvfI2Z3YdO3SquUB3aRmvYr2iIe/xzT4cS7krU3V\nyWlbffhmSF/xmeVN0jY6DAOYhEWShXxX82FC+lR1eUNMa0u11wBZFh1Fe75V+tQ1VkvaOU7IZs5L\nZp0lk5JxAMkx+Il6IvZs5ngNfkNatl7ialStA8aLZefwvVuZUopo5cSAhIf0S/45fMDwAEuajr0H\ncrGKAlXL2ANM0R5ZJANy+ESZLI7FfHZ3KwCgo6U6YW6rRoN4+D6LJEnbANUrsosbhQnphynaA6r7\nDsYJWavIuuvn9dJiOXFENKoNWatyHqPSWRw1MzykHy9uw3Ma0tHDloIgoLlBwYGhQtX6PWVZxLC5\ni/RrZcqkZOQLw7FX6VcTuogtKA9I52Lj8vCrjVXEVtI8ZZMJrBcex/Nddcbh2LFrP+Ye3B75s8Lg\nnBGvBYZgmxsUDOXU5D5fZrpm2CLFakUP48YQGioGyiYDTi2EJHi8LArzbINC+o50MC/aixe2aC8O\nOUOCWGUPXxYFS37SEN7xMPhpCZquW60fSfTwnSM2/XPaXZTIUVI9QKtNLUBZELBD+oCRq4zD4M+a\n1opZ01ojf05Y7JC+KbwTsEgSg1mtvvm4IYVcdkg/XM1CUj18WRJRpFUUQ4b0k5x+JCF9v2gVwOpe\nTPy1eeLHICjcpHXjLgypVi+lIotQVQ26rpuFTh761Cki3GEY/KhFXeOB3ZanQdX8vYQuqhNiUhUr\nr+PE4eEHKO3RhXXNDXJVCkbjxg7p64F9+IC9yYkrp11tiHCWXbTnX7NASOr1KjIZFuSvPAc416ck\nrlXyKIv2nB7+xDenYz7DJ554AmvXrrX+vH37dnzhC1/ARRddhM2bN1s/37x5M1asWIELL7wQL7/8\nMgCgv78fl112Gb70pS/h61//OnK5XKhjsmNHNV2PzeCTCu6Fc6fE8nlByJKIkqZTla/uLxZZJPZn\nDaWuarVaxYkgCJaXEGQAe6a1WP8/uS2ZBp+e6lgK6MNvSEvWs49jEuN4wA7PCdLFOPXYGZAlAUuP\nnl6N04sdeRQ5fNobbm+uzECUSmMNCwqYDw8wG5wEeviiIECWBGszF1y0V91JnFEZ0xO5/fbb8eyz\nz2L+/PnWz9avX49NmzZh5syZ+OpXv4o33ngDmqbhxRdfxJYtW/D+++/jqquuwr/927/h7rvvxjnn\nnIPzzjsP99xzDx555BFceumlgccli2ZJ02MbnEM4rXcGeg/vQkeFphSxkJ2kvWh4TaAyXiIizZmE\nl8oNRRZC5fC72htwUFcT3v1oCIfPrE4OOm4kt5oFj4VSEAQ0ZUj9SEJD3ESIRiXDVfy/kwvnTsEx\nh01OhBSpGzLblheUwjCL3jqrtLbEjSKJ0HXj+YapWrf/P6lrlQi1FLyZA4C0kqwIzpi+cb29vVi/\nfj10syApm82iUChg5syZAIDFixdj69at2LZtGxYtWgQA6O7uRqlUQn9/P7Zt24YlS5YAAJYuXYrn\nnnsu1HEFU/WpVNKowTnxLBqCIFTN2AMuAg8BHn52pAhJjCfHOx6QRS8ohw8Aay88Fv90yUIcPLXF\n83cmMvT0OHK9fnlPUthHTzFMEmSzWlDDLZJAMnTHvZDZtrwA9bwrzj0Shx3UhqMPm1zxc6sE5Fnl\nCmrgs22ogRQG/W4Gvad022U1Ro1HxfcMt2zZgvvvv9/xszvvvBNnnXUWnn/+eetn2WwWzc3N1p+b\nmprwzjvvIJ1Oo7293fHzbDaLbDaLlpYW62eDg4OBJ9rVZfx+SpGgQ0BrqyGp2dKUtv4uSTSZi3tD\nsxG2bmxIuV5HV2eT9f8tjSlMmVLZYqxK3cuUIkHTgYw5BKOzo8nzWF3VkfivGDljLwolJUMXDaMw\npasFXZOMZ8le96zuNrzy1l5M72pO5Ls8acCIPolmlXJDgzLu11HJ47e3GXUm5l4OkzobfY93RlcL\nzlhUPWW8uGkyiysLqoYm5tmy161LtkMyLaHvczolW7Me2tsafK/hIKo4duaMdnTFMFytkvga/BUr\nVmDFihWBH9Lc3IyhoSHrz9lsFq2trVAUxfHzoaEhtLS0oLm5GdlsFp2dnRgaGkJra7AR++gjY1Mg\niQJG8kV8uGcAAFBSS9bfJQnN9Ibe/9D/OtSiav1/Q1qq6LV2dbVU7PNFwdAeHxg0BGay2Vwin1sY\nDhwYBgBkh/JW6mngwAgkTXO9xxcsnQ1ZBBYfNTWR9yRrDobZf8B4tiVVG9frqOR7DAA5c9YDmfmQ\nHazddxkANLObaCSnojmjWNfqdp9JxBIARG1834OxQgdbcyMF32sQqamFuaE8PjLX9biIe8MUS1yt\nubkZiqLgnXfega7rePbZZ7Fw4UL09vbimWeega7r2L17N3RdR0dHB3p7e9HX1wcAeOqpp7Bw4cLQ\nx1LMoTNFazRuckPcgC3w4BUqo4tgktqmBtjKgkHKc7WAbE2P0+3ZAT7Xe/DUFlx1wQJMbotvVkM1\nsUPcwUpstYB1vdZ3N7npiTCQtUpHcL0CHcbvTGjRrSyHD+l3UIWYSUi3jjnpIAiCo4Xo29/+Nq67\n7jqUSiUsXrwYCxYsAAAsXLgQK1euhKZpuPnmmwEAq1evxrp16/CLX/wCnZ2d2LhxY/gTlgSoJd3q\nYU+ifCNAiXfk/eU5GyldgOYqaQRUAkuti3Ql1LBRsLtJ6BnitXu9oy1iSzr2Zr2+rpf9fy++cuZc\nfNA/jCkxDhurJrS2S5B9mdHVhBmTmzBrWksiWmrHbPBPOOEEnHDCCdafjz76aDz66KNlv3fllVfi\nyiuvdPxs0qRJ+OlPfzqm4yqyhJF8wRpNKSfU4CshF432ZqpPO6FCJQCsccBETjipzy0MdpsaJbxT\nw16gEjJaVSuwBj8u8a+JCn19YZ7tkoS2WxJoIx8kdCZLIm7735+s9CnFRuLeVFkyFOqS7uErTFue\n1xhGunMgqUI0gOHRqyW7ndJv7GTSId58kdrg1LIXWN6XXrvPFnAOCwJqe/MKON/dWn6PCbRNSap9\n8SJxV6NIhkKd1Yef0N11WQ7fR0ufkFQhGqBcd6CWF8nRSAnXAmXa8jVuFNj0TC2nawDGACZ0vR0N\ndNoiqbonXiTu6RGFOmI4qiWFGzdkkQgzpGHRJ6YhpYiY19NRlXOrBOVh0NpdJGmpWVUz1MmSkN8b\nKwr7Lte6h89sVmvdCNayAXSD3uAkQS53NEx8pQAGS+vYLHZLashFMbsLciH0uC9ZNhdf/PThiRWy\nANyEhpL53MJApIRVU0u/9j1eZqSoXNvXyxr4pK5BYaGdkVrf3ACMwa+xDU7iLAh54YZzRg9sUr9s\nllcUoLRn/J2YeANpD6WofYMP2FLCmlY/Hq+1Ca/xZ8tu4Gr+Xaar1hMaUR0NtGNVax5+4q6GXVyS\n3oc/bBp8JaHXERbShkfaEGt9kZRE0ZoPX+sevmhKXhNq/dmyG5parkcBnNdXawbQDVr7JKkOpReJ\nuxriGRMPP6kvoL1xIQY/mdcRFruwi1xvbRtBMv44zEjRWmC0vdpJhtbMkETBcxJirUA/T0WqbccE\nqI2Rxl4k7ptZ7hkn7hIAUKkJch01vkiS5zYSIDRUK0iiAFXTrKK9WseR503odzIsdMFprW9ugDoM\n6WeSP/HPi8Q9PbKYJD0UXm8ePi00VA9eEe3h1/rmBmDlSGv72TqjGbV9rYCzZqHWHRPA6eHXWndN\n4uIVlqeYMwxlUkP6CuPx1rrBJ5Xbmq4jndBN2mgwqvR1CIJe0zLCBKWOQvoOg1/j31vA6eUmtQ16\nNLQ2JnNMdRgSZ/DLPfxkvoCyVYuQ7OsIS715RcbMBw2iKNR80R7A5Hnr6F2uB4+XFv+qh+vtmdaC\njpY0Tjpq2nifSuwkzuBbOfyEG0qSitDM8YpJjVSEpd68IlkSUSxpkHSx5qVmgfoq2pPrLIdPh7hr\nrS/djYa0jA1rTqrJtGPi3lbWw0/qC1gmz1njRtBhEOrEAOq6Ia9bDxENuuui1o0g/V1NqsMxGjJp\ne41tzCTORxwTtWjsgQQafLKYWFr6Cf3Csedd66EyR2VzQp/ZaKCNXn1U6dNh7tq+XlEQrIhcrVVx\nu9FQw21q9UbiVt4yQ5lQ48F6QUm9jrDUk0EA6i/sW28pG1KXka4Dg09vahq5wU80iftmZqgQviwl\nt72rVjYuYXGGQWt/kaw3D19xtOXV9rsMAAKMZ5pJaEpxNNA1KK1NtVvBXg8kbrtG76iTbDjKPPwa\nXyTp60vXQWuPw+DX+LMF6qtKHwCIn1EPHj4AnHrsDOz8YBCTWpM7opuTQIOfcRj85C4sacYzqPWF\ng74+9tprkXpSngOc11gPXi8RZEmy0zEaVp1xxHifAicGErcS0YYjyQUziixaRkFA7RvBhlR9tfbU\nWyV3Ay3OkuDvZVjUklE0LCU0pcipTxK3EtEiEEk2+IBd8ZpOSTUn4ciSqTMPX6mzEHeGKuaqBw9/\n+uQmAM6WNQ5nopO4lYj2JGivMYmQ80/6xiUM9MJYDwafVterdVElwNmuVQ8bnEuWzcXCuVPwmYUz\nx/tUOJzQJM5i1kpIH7CNYCbhG5cw0NeYStW+QXB6+Ml+T8NQywNH3Jg5pRlrzjtqvE+DwxkViVt5\nae8wk/CeULJI1oPHm3Fs1JL93MIg1VtIP+Gbbw6nHkjcSkS3/zTUyCJTD9Kr9HNraVTG8UyqAx3G\nr4eQPhdk4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Because the autocorrelation produces a symmetric signal, we only care about the \"right half\".\n", "r = numpy.correlate(x, x, mode='full')[len(x)-1:]\n", "print x.shape, r.shape\n", "plt.plot(r[:10000])\n", "plt.xlabel('Lag (samples)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Using [`librosa.autocorrelate`](http://bmcfee.github.io/librosa/generated/librosa.core.autocorrelate.html#librosa.core.autocorrelate):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JCSFKYfDHwfAPnWji9nueLXSxCrrlTUExGjbWgOFPuFFg97KiT0eNBdooaNK9GYAXomJY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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = librosa.autocorrelate(x, max_size=10000)\n", "plt.plot(r)\n", "plt.xlabel('Lag (samples)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Using [`essentia.standard.AutoCorrelation`](http://essentia.upf.edu/documentation/reference/std_AutoCorrelation.html):" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JCSFKYfDHwfAPnWji9nueLXSxCrrlTUExGjbWgOFPuFFg97KiT0eNBdooaNK9GYAXomJY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\nw/j1ENLng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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from essentia.standard import AutoCorrelation\n", "autocorr = AutoCorrelation()\n", "r = autocorr(x)\n", "plt.plot(r[:10000])\n", "plt.xlabel('Lag (samples)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## `librosa.cqt`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Unlike the Fourier transform, the [constant-Q transform](http://en.wikipedia.org/wiki/Constant_Q_transform) uses a logarithmically spaced frequency axis.\n", "\n", "To plot a constant-Q spectrogram, will use [`librosa.cqt`](http://bmcfee.github.io/librosa/generated/librosa.core.cqt.html#librosa.core.cqt):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EuHs9iPTed17era/rgETgB3HbdZnfLr57Ia8PqgfvF91df+6lQnr3ohDvfX2nsC/8/TYx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K0tRJq2qX7deIIZT7CTAlsaqtGEYntCNanatrqnEUqQLQUxRSPck4lCJRJZ53zUmUIlCqlVK5aT\nWqHzhHQYUganiwPSlSXkMESdw7mZSC7NEL1Qj7yHGy4HoZqpQvpia2eitxqfpAjn8SpE0xPO4pWe\nCdwAl+QIW+GlxusUYatQ5ix4h01yAJQpcUpTZQvocoRTKcpMEc4yGZwOdZwJEcl0TjbdosyGOKlJ\nqzG72QqZCcJJ6Szb+RqDagsrNVM1oG+2KVQfI0KUudRNGYsFlDBoKgrfQ9VRz6Yux/jZlnsN8KVv\n+mGUcExsjqxTFF8ZDQFY6+8yMhnjMmEhK7lwrc89a7s4L3nsap9zK2G9n95IWR5atPQ8fklz26pj\nY0dy11pJZZtoap5MWxJpWUgmAKxPh6TK4rzk6m5IrZlpT6Ida71drBdslz2WsgnjKqNywdZCOuXJ\nrQXODCcI4XlyY8CLVreY2rCXGvs7VVj3TFV8dWORc0thHkdlylIWUvMWNmFiNJk2rO9mrA0LEmmx\nXqCla1Mxj6uQqrmykl5i0HImONotw9wbJ1DCkyhHohyTSqOlQ8uQsrinm7TBgo1xD+thqVeynIbo\niNYrShfWZ2IyrBf0dNVGJXNesjHNWcqnvAH47L3vwPkQTXFUpTy5nnH32gRJiIRmnOSRJ8I+fPHt\nFYm0pCqsQeUUxkskMDGhTy1D6uWpUQzSsGdSFaI6Tk3SpvB1QC+x5NrU0eDCv2QqJ3F1JLbSSHan\nil7m0NLTT6s2ZbUETB3JblwljArF337e8IbXCIZpga4j75l6LraKjEcuaO653bOYl2jpqZykshJj\nJbJei1wbjJPsTDXGCgaZI0tCn9YFvxLlSGSw7xFMKs2Fqyn9DNYWS3Id6gvhQxQ6L6isZGoUm7uK\nPA0psxtbIVJfmBPrJKNS89d/b3ntKzWLeVnPa7C1UyRMCslS3/Am4OEz/w2lDftrfSehNLAydOSJ\nRUmPlg4lPA6o6nrjUnFtS5GnMOxZ8sSRKovqREZsUn8//rTgpS9w9NMKKT3OhfHuTpv04jDMLYly\n7RwVRrI7UYwL6NfZbpcHZm7PF1ZxfTfh0ScdL78nzGsvDWnArROUVrZpv7PEk6eOTIc+lPRtymvj\nwh7ZnUhOLxr6qZntQy+YVprNkcY6wfLA1PM9W8vdqeaxi567zwlWBhWZsu34m5Tmn/6c4VteqRlm\nBiHAecHuVLE9lpxasPRT2/ZpnGRSKSTQSw19XTFIJvTlGIDMTUhswSLPHvEbgEgkEolETiDxABCJ\nRCKRyAkkHgAikUgkEjmBxANAJBKJRCInkHgAiEQikUjkBCK8/1rEL/z6MPmPv0nvv/xRJr/3fqqn\nL1GsbwBQ7YyxpcE7j9QzRb8zFl+HZRVSoNIEPchJF4fo5SWQEru1jZ0WOFMrhrVCJhqZBoW3txak\nRPV7qNWgoveLK2AMpDnjtReS7VxFlmNcNsBLhSwnc36H0LM2KP2lCOFqm/CyQobXTVjKubC0e8r3\nvu7amOuwfu8MGBOeQLDVfIjabgjNfe3nr3mlZuF7pW6fVoAQrtIrjZcKp0IYXyfDb4+YC8165pX3\nc+Vzn2QvYk+oXS8kXgi8UDipQp76+gfAiZCv3npF6VMqn7S57ps83xKH8gblKpQ3SGeB8FSF8B7p\na/W1s7NQwnv9OiTnfDNHe0MVh7qiHYOTKliRM9+bOWl+W6GxKIxPsF7O5X6vnKKwCbtlyrhUDLKg\nqm8ojKK0kkFqyHVFpsxczvImh7tDIPEksiIVZZuPvfIJpZuFGNXSoIRtc613856/4vztfPZLlxH4\nOp/6LL+98xKDbvtrx+lFm2u++d3kdW/88n42Z1J4JB6HwDrJxAZl9bTSJCqoz1Np5ubZNvntvZjl\nc/dQOUVlJFo5lPStYjuRtlXcT03CzjQhTyyDzlMDzdwVTjGtNNNK4Txk2tFLTKtib+qNK83TGwmn\nFiyLedX20axjaUPe+2klGU0VX33acfa0ZHXR0qufGmhyxZdWURiJEEHN3/QVbAmMDU8JCOHJE0ci\nbau4N/VTK5WVnXkJKva3v07xH/+uREvXzrXzovVrd6K4uumxFhaHgkF4mIO0fkpGiJmtyoSfNPFt\nHS3D0wPGCqalpKhgdwxl5dnYqJ9GsY7hMEFK2NkxZJnitjOaPAUlZx9PkwI2tx0LA0lePxlgLDzx\nVMna6bBfTy1CP3doVSv8rcA5QWnC+jcfYVniWttlJZiUgmsbDiEE/bzeh3W/SkGqD48A3FxLtCfV\nvn0apJkXIKyDDf5YF/wuDaxftzz2lQ3uvz/8DVkaePLUY6ygqILPC/2wfwZJCHGfyYpUVrzi/O18\n8ctf5aXn7zrYsWdA/AYgEolEIpETSDwARCKRSCRyAokHgEgkEolETiDxABCJRCKRyAnk+R0KeO0F\n9AC3vY0dTzCTIJYod6fhZ1RQTQymMLjKYkvXigC7CCkQ6uhcz97evFbyONsHIQ9pI9TBZzaxJw+2\nPCAvduOHkHJfG6lEG+pYSNl5L5Fatu2aUMgH/e7a7ooKRS2K83vEfbz/d7C//W8OHM+c3x1Rnax/\n9o63rXuT+cDdIeXteLp0x9bMZaMUkhLRXuvMiZi9nvOxDhl94Ou9YxH75/ZQH4/iuLzmHd/2N63b\nnn8P5x/6Pw+uK/bshbb8AP+7gtOmXBxj66A2e8s7bfeV75k/L27A9iF+HSq4BfxIwOjwtm2/5+qy\nKeFnr53m9d52XT+QUDb1D/bbCwECvJLAv+Db/UdhpiGd2U3AJxIWOXCvHNz/nnJmwkwGs2v+iPq1\nwQPK5uu2Nu7u9NGp0xXezvlxSJ/+rj33E7PPeuFd+36vOLlrc17M2+mv829s0fmU8Uh4HXh2O2WN\nCLEWNXcEskAr5t07plshfgMQiUQikcgJJB4AIpFIJBI5gcQDQCQSiUQiJ5B4AIhEIpFI5ATyvBYB\nqjrCni9LnLGtWEznCVIrssUeUitUqkkGPbLVZZLbzgJgrl6j2tnFVQYhBDJN0IM+enUVsgw/2m1t\nA4gsQw4XIM3x03GI/NegNSLLZ1HyGg4RbSEPqLNXQHOUuKktP1igs0+s4kOkQWFtiBbo7HwUQO8Q\n3u0XQ0mxX7wkdfCtG/VOiI7QqFMuVYjg10QJbOoyE+NkD/zYXBsnVCui2ScqaqLnCYHoROpr6juh\nDhXHNLa60QPtAdtf4Oei0wFI4fbV8QhEkPzMRQgUuDnfmrpdP4X3c6/n/RQ4FA6J83Ku70YA5HwQ\nGxk01qs50VIizJw/ldcYrzFOYr2aG48g5HwX+LasqWOcpLAJpVWkKkSy08JhvKQwmu8BPvba/wkt\nPZmqUNK1wROb8Qo8xoU5LpzCOkmmDJmq2q1rnGJiktZ/JTyqjsDnvJwbW2O3tAopPKkyaOGQwmGc\nZrdKeXI9RIZbXbSs9Aq0cG2kv8LoNrKescGWkpAoxyCr2rrOSyaVZmcafB/mlkFSkqr5aIdTqymM\nZlKGOdsaSbSCpb6ln1ZtRD7rZWtrdyJJlUeI0PdoKhACloeWTLs2V73zgp2JZmNXsLbkGGSmjdrX\nzPPUaHYmCusEkwJ2xp7RyHH+LskgcyR6PsrfpFRMS8G4EPwo8AfX38j1rWBsYRCi/fWyEE3PWMGk\nkCTa08scaScCoXWCaSW5tiWxFno5ZAlU9Ufi01cd/Z5keQH6WYhEOS1lG5Ev0aFPrTyqjp6nBGgV\nIgxaJ6jqCIIAVzYEg15jK8xbe0/U89VEJpyWkqubnmvXKm6/LWVxEK4VVeM7TKZQGU+/J6iDxKIV\nJPXrRHu08mTao1VYk+6ebvZuoixKhHtHEoTEzkuMk1Q2OFkaRWEE1ol23cIYQh+NLecEzsMgs/ST\nip4u6akpPTlB++C8clV9P9zBgt0AXsCtEr8BiEQikUjkBBIPAJFIJBKJnECek/8C+MQnPsFP/dRP\ncf78eQCqquKd73wnb3rTm/jABz7Axz72MYQQvPvd7+b+++9/LlyMRCKRSOSfNM/JAUAIwetf/3p+\n/dd/HYDxeMwDDzzAC1/4Qj7zmc/we7/3ezz11FP8xE/8BH/0R3/0XLgYiUQikcg/aZ6TA8DeDMT9\nfp8f/uEf5sMf/jC/9Vu/BcBTTz3F4uLikXaq//c/weu/H1cZeneeo5+HnJVudxezs4sryjatr5AC\nby3VlavhvVKkp1aQgz6i18ftbOPGE6pr18C5kPYX2siBMtHIyQTZ6yGUBqUQvR4A5sxdjBfPkY/X\ng6jLWap8kaTYAe+xWR8IokWb9lBVAc5S9ldIJ5s4PUvBKqsilE+38VJhdE5S7FBlCyhbIFzwq8oX\nSSdbmLSH8A5pSsreMul0G6c0ToSl1dU4tDXTOkVvSjLdxqQDRJMC1zuqZEBabGN1mENpS0w6QFdj\nnAwiLacSdDnCpAOkCeJIk/RIyx2sqvN0CoFwFqNzdDUBIbAqRTqDkxrpOuJJ5kWDwjsQCm2bkGY+\ntPUWJxTSl7XtDOnsnEhQuYpK58g6na+TCuUMRs3mVtkKq5L2NwikM7V/1cyfTnkzP15IVO2XVSlO\nSKR3eCFQtsQLhVEpyhms1LVPYaxWarQt23KYiRG1q0I6Y6FagZnyBo/AyqROW0w9/vDaCj1LX9wR\nyVUya8ult0GEJ1MQIMRM5NnMZyMWtVIjfSMMrH8rT5Vk+0SNTihkaoF7Od+7EOwDDon2FdJbjEzb\nNMYKU/fpqETaChsVJpTpFFurr5SwrbDSeI1HoMVsv1R+tpaJKFsxnkMhsZzJLHcPgq3CZ2hhSUSJ\nxFH5hKnO0dKQ1mUAxmsKn6GERRNEfhUJLpXcPSzbObZoCpci8ORyGsoSjfEKP6gFhacs3gusV0jh\n0MIisTgUozx8VrAMuSzQwuIRFHX6ZSkc3os5sdldwwrWoHAphU1IlSGVZTsHpUs5M5ChH+FCqmGn\nSaSdnzeXMDYpa72SRNZqOM7ykttGZHeE95mq8F4E0ahTaGnRwlI5Rel0m3Y5lWFvjkzGmQXJMJmi\nhMU4zfp0AMD5syULyaSd92uTIatDy3I6bgWbAFtlDy0dAx0iuE5sQmE0K3lBKg2VC2u5MuiTasti\nMkUKR+k01yd9+omhV7cVAqYmpMp+0emC5KUG5yeMTUphNMM01NP1PE2MRgjo6SCsK51mUgW/Um3J\npMV6wcQkaOno67Lt+4nrYZyrC9BLp+2YRmXatu+mbe6lnkwZhPCUVlOYMK5EzUSfTRrsvq4YJBN6\nckLuxmTlLkkVxO7SVfXn/6tY2HkauI9b5RtGA7C6usrGxgZSSj7wgQ/w4z/+47z97W9/rt2KRCKR\nSOSfJN8wB4CnnnqK2267DYCf/umf5qMf/Si/8Ru/wRNPPPEcexaJRCKRyD89viHiAOzu7vL7v//7\nPPDAA7z3ve/lF3/xF0nTFK018ohEJ4s/+vPh90/+2tfL1UMZPtcOPE9Zve8Nz7ULkZvk7ntf9ly7\nELkF/tkrn41PrcEBZRmwcEB5/wZt9A6pt7d9eojN9AbLjurrRupl9c+zSc7Bc/e14TkTAX784x/n\nwQcfRCmFtZaf/Mmf5I1vfCPvfe97ecc73oFzjh/5kR/hjjvuONTO9m/+a1Z+9v9g+9+8G724gDhG\nA6CyFJGE/88WSiGU2qcB8NYergHo96IG4FnUAKze9wbWP/vQnAbAygRV/3/8fg2APXkaAP8saAA6\nY2iuHaoB8LMgQZU8RAPgLfecv5cLX/rCrWsARNoGH7pVDYAStrV1oAbAPQMNgJek4hgNALUGoP5/\neyWO0ADY2R+QG9UApPX/1x+lAbD+xjUAfT3TANx371k++rldMnXzGgDnD9YA9JP9GoBE3bgGYJjO\nawA2ps9MA7CUFSTK4Lz4GmsAKhY7GoCdjgagCSRWWYmSt6ABqPZrAJZe+708WzwnB4D777+fhx9+\n+MBr73nPe27YzpMPfY4V4Im//DtUItF5WICkn5Iu9slXl+m/7CVgLdXly9jxBLs7BsAb2x4OAKRW\nyCwlGfZRS4sIHabGjca46RTvPXY0xhclIkkQiYad7dD44kV6dnbQgM55U8i5SSnL7IsAACAASURB\nVG5fS9GeHTtxAQHIO996KAAh9p0zmzZpp27zEaP3RAic9Sn3l9X2G3+TTnF2yLcvc74cFqVwLwel\n6b3vDfQ/99CN2zku1e9RNg6ImnhsGt1j0sjecP9Hpd89rM0NpDXel9r0RtfiBu0faK9NB3wvZy58\n4gbqH++Tv5l5PS5N7aG2DujrmHZH2j02ve0N+PIM2u1L9dvaOtzGwW2+l/umDx/u8zEpo9t21azs\nRc2LMvw0qXBfCGAFTA4w5KA+I85slnvqKAGeTrpjyYvrDypvOuly8eEDzDGX39trMf9eyNkHqGvK\nxL4vCQS+/aAMh7MgWD6/2q3lwdfi2XT2D4j2arL3M4T5D9k9eCGQxpBUE3Q1RlYF0tSHHGtCNFcg\n2bx0uJFnwDeMBiASiUQikcjXj3gAiEQikUjkBBIPAJFIJBKJnEDiASASiUQikRPIN8RjgDdLtpC3\nr6fbBfbqCABTGJz1uMrh7MfaOt76fTaOQ6iDxTDygHJxiJjpMBtH2Zpvf/Q57bB+W/s3IPg6zsfQ\nz/HnxaN82TvO+97xs3zp3/3pDbe/seuH+3jUPB9l97hxH932kD1xhM2bsXec3VuZ14Ns3vUv3snV\nP/jQEeO7ufm8mfk6StAoDhG53ewcH3sP3Iz/hCejDrd5a/f/gX2/9ntxf3Z0mPUj1+m4fo9qeytj\nPUaceFj74+boSCHmLXzmhAqHtD/M16a+lHNthZQzPy9fPLrPGyR+AxCJRCKRyAkkHgAikUgkEjmB\nxANAJBKJRCInkHgAiEQikUjkBPK8FgEu3H4KgFP33oZUCpnWIVizFJWlyDxHJHpOpOGb6H/e4Y0N\nqYldHQ5KyhAiONGzkMG6ft2IL6QAqRBJgk9rEWKa49Ic34T09b4Nb4sQ4T3z4Vjn6NTZJxg5NkpZ\np/4hdZs6Nxv1a7+9znw+kzPkAf3c+cvvu6F+Dmt/w22hDbO6t04T/vao9r5Zz5kzc5a7dvb3PT//\neyOzCe/nfPBChv4Q+3xswgUf5n8TGtgjcELh6zDD3XrS2zZUcIMTKtTv2PaIuj/29QPAz/wSvu4r\n9CPb/dCEEO72MZutpo8DovkdsZ/2rR/PbN/O9V2Haj3MRtdvIXwbptczm5dQz835bJGtbSGa2jNb\nPszMXJ32WicUcNcvwTHz2I085wWu40PTR2Oj6W8FuPAD7znQxr5+fPB5L7KZA+EPrO+8mPOj68ve\ncXTH3o5Z+Pb13np2j115gG3nJcZLjJPtx6uUvg6V7Fr7zkusF9g69LD1AiE8Snik6NyXvgk9PT/W\n7kd3WPN5HOCcaOsoMRtbdx9o4dDS0FMFfTkmN7uk1RhVRwJUtkDaEDbRvPhVPBvEbwAikUgkEjmB\nxANAJBKJRCInkHgAiEQikUjkBBIPAJFIJBKJnEDiASASiUQikRPI8/opgJXvvD/8/o7Xgdb4pM5U\nn+a4rIeXCuEswlbgPV5pvA51ZDVFTXYQxTQo8KXC6yTY0Qk+CQp/m+Q4pfFSgfdIZxHOgrPzym2V\nYNIe494ql7gTKRyVU3x1c5G7V7YB0MJydbJArg0Cz+WdHncu7VLYhIkJSzFIShIZnlQonSaVhu0y\np6c7ibdrSqtaYXwiLR5BZSWVU62NTBskQdla2qDylrXCdS/Wi1Yxq6VDylolWytYrZehrXTtydH6\noPZtkLXC1de2nA+K6a49gMoqvhf4hPt28sSghcMTfByVYS609OTaIGWwV9mg6A3X3NxDAa5W4woR\nfOiWNX4p6bGuM0blkcLjPUxNUAAbK+inllSF+ZyUms2RYmVoGGRhDSRQOcnmOKGoJMsDQ6Zta3s2\nX8GesYJB5sgSixQe4ySTslYcO+hGes6T0LcQYX0vbya1/3BmqSTXFlHbGJeap9Y1w15oe3phdr2y\nkmu7Ya+vLRSkyrSK43GVMDWKhaxq91VpNdvTtFU4D1Iz87VSTIowZ+MizOl/dy98cv0lZDpMcGEE\nW6NQp5eF+XZekNbXE+2wTjApJFc3PWvLgkEe9kRV53TfHkvKChb6kGqPdWH+rAu3aPMAj5TQzzyJ\nDmu3PZY8dcnyohcoBnmoJARMS8nl6wJjPGdXRWuzMoJxEFazM/IM+4KlgSdNgq+TQvL4U5bTp8Ia\nrS560sThPRSVZGskuPBEyT13pXU71+6L0gp2xpLRBE4tevLUI6Vv98S4kDx9zWOM59yarH0SbI9h\nPPGsrYR6qfYYK7i25VkaClaGDi091sNoGvzaGYe5ytPQ/7SUXLzqEQLWVmZzb6xgZwJ/89fXeM23\nrLGyAK++Fx65sspoGvq7dNVy25pi2Avty0pwaX2/rdIIrlz3eO85c0qiFZQmtC/LUOe2M5pEQ2XC\n/Frr6fckQkBRepwL9fJMojVUFWxsGvJcsrgQbE6m8PefuQbAq19zmuVhuF+NFWyPQClYGoQ9AEFN\nPy0FlYVeOiuflpKNnVk0314e9tL6Zpizs6uSLPHt3gYoKsgSSHW4P6clbG6H9ffec+XyBIDllZwz\na5p+FvabsWHMzoMOS4TqRPN1LlyTIuzhRIX3Tb3VhYrlPDzlY1FUKscJhUrCDS6dRXjLAjBZOMsC\nt078BiASiUQikRNIPABEIpFIJHICiQeASCQSiUROIPEAEIlEIpHICUR47/erwZ4nrL/vx1j9X/4v\n1t/3Ywde7+aAFgfkVm6vSxlyMHd+z9kQEqQIYYJVCANMmiIa0WGW4dMclw+w+QJFvsRG7xxXilMM\n9RTrgyJkt8oxrha6FYqFvA7r6CTDNIixEmkxXjI1mtJIUu2CsA7PpNI8eW2m2xz2INGeaSm4vu2p\nKs/iUOJ8ENY0XLlakmaSQV/R7wm0CiKVXjpbemNFK1BxteDKuiBcKWtb44lDKUGeCRINtq6TpTMh\nWyOEUSqUeR/qNdFxu9Fk//vvE/z2X3qcD/WUnIlnGluNT9bBtIDShHGWpWcwCEZTLdAa8jSIp0JI\nziAaUnImEuqOzznRisqsm4kFG1+MDeImmAmImu2jZBAJaeXnojg3tmZ2w09VwXjqqSqH1oI8k+18\nhTq+tiuwzlMUYYxKwaAfJqSXB1FSosMYpfTIOvSoakRGNOMSrYAOgkgs0x6tarFaLYjshk21XgYB\nad1mWgax22MXptxxe85CH7IkiKuUhP/6fsUfftLWAr1Zf6Wp90AVBF9FLQwzxuO8Z7Rr+MSHP819\n/+ybyDKFdZ4sC2PMMoXzUEwtzjrynmYw0OS5IEsFWdBDkupwizZiz2YN9s69sWHet7Ys166O2bi6\nwz0vWWMw0Ggdxqk1aCXaPdasbzeac7Nnw33lGU8co5GhKi2DYcJwGO7JLBVkabM3QEmPlOF3V+gp\nhG/3UuO37whGIQjRxlPY3LI8+qV17rhrmcVFTZbKA+4Rj3dgbLgvjKnnpbknjWcyqti8PubyE9d4\n2Wvu5v0/3ud//UNHmoja98bnRkg7G3PzOdDOq5ndh0XhGY0q1q+OGC4G4fTg/2/v3IMtqep7/1lr\ndfd+nDNn3oDADHEQmYjRMNwr4SbeIZTAWKIJCszwKqqgQiomhiJKakwIialEwYp/JBUwJkGrGC0R\nDZJHJRdJKKMxgaKECaJJZYIKAjIwzMCcx95nd6+17h+rV3fvfc4ZIMAcYP8+VVP72d3r0d3TZ+/P\n/v4mUtptQ7ejSVNF4zRcrSPc1sdyUXiUhjRR4RzcfL8Nx461njTTtDJNp61J0/q8E9vdHFfvG8dz\nUY/XIA8SY7ul6bbrYyqKg0aHyODFIn3DelW5LlWeJ1V1rDf3fQjnzHDcl2Ohodd3zEznHHtMh3Wr\nwrpXdoNk3E0GtHROpnMMBYkq0D7s1DG+e+MJP8mP/uu7bHjzSbxU5BMAQRAEQRhD5AJAEARBEMYQ\nuQAQBEEQhDFELgAEQRAEYQx5TScBJhOd6rYp7yljKnlPJQaVJKishep0IM0A8L1Z3MGDuLketj+P\nzXN8YYlOZCWilLJgWGe5PmPQaRJkQEC1WqhOFzMRUgVNEmSYvdNd8gnDoEyZ66QF3bRgMptnTSfU\noZ7LU5Siqm9tCJKJUQ7rDU/sz2ilnm47JIGtmgztC4Ib9AchpWv9KsUzzylm5jzdjqIcGpSCY09K\nMLoUX9KiSmmLglxMfIvMFyHRLS+CCFY7kZrnDlq+s/tpTv5fR5IYxcFpy+xswbFHByFSaZiZdaxe\nGUS3+QG0W0Hcms+DcBO2GW77gyAJ/vDRHkopskyzdm1ateXZZwuOPCKllQahJ0sUEx2Fc7XwM9Wt\nBZ4ou8V0wkQH48ijsK7uc5Stmv2FOlEsjDEcmPaYsrFROJpcUYt/aVKnvGntKWwtMioVUud8BlMT\nitm+qYS1gzOhXVOTmkGumB94Wl0Y9GB6uiBraf7rO0/zlrcdCYC1iqlJRSuNopInNfX8RQZolAv7\nbxD2wthkiSUtJcBYe3y0drlNGvXoO4p1KzQ/cYTGk2OdwjlVpTxGVCnP5YWqhKvEQLcFoBrzHV43\nWvOOt/8MhVVD4mhcF4B19fzH/jVTJEOSWv3YlEmR1tVtcz60qdtSrF+VcPzGKZyfqmQ/25BR4/22\nHhbepmfDNg5OF8z3LXluOfroLlMrDEesM7RKCS3uU0r5SugbFDDbi+mUim673EYWjt34zygwpkzP\nTIblN7XKw1GwZfOaMCfeoYbq08dbVQmgzisKq8mLWojsD2BmLmHlqhbHbFzJxETYQdesVKTlvhpl\nxSgjWhf74On1XJV+t3ptmxUThnZbsXIyLJ8YjT6pRe1U+/K+r9obJVznFIMy+TEvwv08D+eNKHfG\nvuWluNeb9+S5wlqYmSk48Eyf/ftmmJzqsGZtONEZo0hTjXWe3lyBtb46n0xOJrRa5TGqglA6yOG5\ng5aZWZicMLQyRWLq4z5KhUb7SvYdHXfnY3s9ENcfJNDJrirH2GCdqVJKk3K8IKGwsD+ExPK9PY63\nnNBhzWRCNy1omZxUW4wK/wCMcmjC/Tn9cuQAyicAgiAIgjCWyAWAIAiCIIwhcgEgCIIgCGOIXAAI\ngiAIwhjympYAn35gDyvLW+8cvkxUq2/dgmVUFAW1QmmFTkx5v35++LZ+XicmvN8YTJagS8NJtzJM\np43pdtCdfXSyH7JBf5uNuowUM9G0KUsOGxPux1tt8CaIT14bUBqvDU4b3OoUbxKcMliT4UqBp9AZ\nViXkKsP6hMIbeEOZDIfDqGDQKDy6LPKqiEJc6FMs6uu8xmHIfYLzmnmXMrAJc3mKdSlPP1smyrVg\n9TGGnzphPa0krD/bYMsSw/2wjVISM8pTNMoI21JQmilLmQaRJog9g8Lzjre30drTShxZWaLWe8g2\nWby3lbAWZcmmtGjL7SgV+htlt1gSGcAojy5LDhsV2txMwmsmiIUxKmW4o1T1XufDNrVy1a1SoAkS\nVxzvuGxYn8L6sA7ndVk+OaTuRfJSEgIorEYfF6TEUzavrySqwil0eRsT4/JCkxhPJ7NVfyezUE7a\naEdSCkQKj1Gu6q9i+LiI+4NF1xIdGusN1msKZ8idKUsDJ1VblfK0E49peVJtq/S0uA84wJbzNF8Y\nCqfIiyD/TbYLEu1ItcPoKDmFOara2Ux1a4xpHEfvFYUP5ZcLpxkUhqLsWn+gqjTHXn8o3JMsbUqc\n5f7RSMBrtSjLGodtbjgyITGGNPGhvLYK5a1NWfq6uR/Ffcf6IE0OrGG+0FUJ3/0Hw3pXTgDGkyaO\nVIfyz3F9Tap+lqW15wvNIC/HNA9ljfOcKhVPqVBm1rq61GxITQz3Ox1Dpx2WDxJjnX4XxhY6iQup\nnNqTrbdhnt4a9/1+aOcifY77TtzHbVnCOyZMDnI1JN8aHWTRIgnzdOCg5+mn59n0E21Wr/B0yzLH\nWWLJEkuiXL2PqE7ZhrkFbWgeZ9Y7CldUUnCU8RS+TGis1xlLpGsV0lebx3W1jfJ4jvthXh4b84Vh\nblCXzY6lpVupw6goRvqqXLlRjtQ4kiPKc8kmh1ZzC/YB6w0Dl1TbK8pz0BP9dZzIS0c+ARAEQRCE\nMUQuAARBEARhDJELAEEQBEEYQ+QCQBAEQRDGkNe0BGjLeq2usJXUB2CyZFjaK5/3zuPKeCxXWOyg\noOjnlUDo7MLKyNoMy4ImS9BJkACTdkgVNK0Bbj7803M9dLuFStOQQGiSWgIsywlHCVAZg9ehrehS\njkvSUhBM0eWt1wZnEkwxHyRBoKUUThm80nil8EoT06h8o5apj++jfr9Ttfg11Ffl0MqR6IKJBFa3\n4JhJ8EeU62XktpTbPKqS8qyvhbEoZvVzzXyuUAom2mH8W4kDMjYf2x+Sx2JCHQRRZ/h+SMMyyqKp\n32dGJMf4fl8qkLHN1mscmsIlFF4xb9OqrZHUWFId/iXKoXTsYb1vNIW00eeCUFkLR00xqYgld10Q\nwwAG5dgUdjh9bLTMcJSYtArJfmniyUxI9zNl2mGiHIl2pYQXRL4oMFo/MpaVaBdkp2ocq65ZvCpw\nKLxuSIxZmF9YyerOgJlByuPPpORFyjFrLROtnLa2JCZIflFAjfuWwaHCWiuBblQoi48X7G+NMS4V\nrWpOndeV/FXNg9dlCVe16Jwtts3q8Yj8FffP2O4oicV+xXVoFUfdD/Wz4mjKfUPhCMdl4U0QynxC\n4cLxnTtDbsOajHZMpgNMuV82x7S5fo1v7HtqaNya4xPKk09x7OpeJerG4zUv5dL5HFwCWusqTTOO\ng1aOpOx36K8bSqlrzm0kHgceRUFTakuYtymzecaPsxYbjmxx5Moek+k8LT0AIFUFicrROLS3VVlc\nAOUXit6LzW18X7gfHzckYO/qc6IHfDinxvNm/GdVQuFD+3NSCpeQ+4RuolnVVkP9j/dHz5fNdlX7\nzohMHPaPkCQZy8kXTjOwZWn5fva8/X4hyCcAgiAIgjCGyAWAIAiCIIwhcgEgCIIgCGOIXAAIgiAI\nwhjympYAO2smAWivmhiSAHViUIkhaWXoVkY6NUm6dg1zbz+d7oPfAKA4cIBiZjbIe9aGUsBuoQQI\n1EmB5a0ydSIghCRAnWWoVobudFDdCXx3BXZiFfOT63hmYgMAA5+xwj9H4gZ4pcl1iz5dnuyvJi/l\njvWdaVIdkvCsN8zbFOsNRtkhGSd3hn6RkVtNN8lpmwGJKioJyTWEKesNhTdYqxm4hF6eMCgMnSxI\nlN0kJzUFiarlGlemwhW+ToeLQtloAp7Ck+mydicF3WRYNls6hW4Db+geCFpYo51RhAqSXpCTmmKY\ndYpBoTk4FxPRYO2UY0W7oJ0UZLqokvCaslvEKFtLOsrjfcLMICQxPvZMxr4DjiPWaCbaoRSoLsuk\nxnEISXxU5YVDQlxIdUu0q8rzGrVw24n2JLqgVR55vlULg0P7nGLBshHN8GtN2SoIjXpouabARmPZ\nxSStmHYYk9QKF0S7Ov0viJhhW4p2UnDceot1IfVt/2zGbL9NfxCS5jqtOhEtaciNId1OlaV561Kq\nWpcJbY30NAgSpKuSJcMyWoXxHB33qk+lhFk4HZITrQ7lZwtVlQC2rh57s8SfQ7GMaywNG1PyYopf\nTJ6MYlxz7CvxrRRNc2eqdECjPJ20oJMUpKYgVQXtZL5cl0VjF4iSUegDcBhsKbVGgdB7VcmCSZkG\nmqoCU54b6nVNsaHzxIK+NqXZ5r4xKkk231NJhphyfqJoa4balOmCVOek5OV4W4wv22YsP3mUqyU9\n56hPFXW5XaAWn1HDwnPjsR95/4uh6peK/au1zuZ6E8J5JiPH6ob66fWQ+BdE1LILnkpOtS6pJMzc\nmXKfruXeWA64ZcJ4dYxDZw7o8BMr9wFHvah+LYZ8AiAIgiAIY4hcAAiCIAjCGCIXAIIgCIIwhsgF\ngCAIgiCMIa9pCXDy2PVDt4tJfEor7FwP23uC5MkvkZfinkpT0tUrg7yXpqFsr3f4PMdbi7dlKVnn\noZk2FYUSrSoJMKb7qTSFJMhkKp/HzOyn25+lc+CxctlmfdN6ncc1JZVnWXx7qpZPFuN5RZfFlp8f\nXmbBOhZZZtHtjL4vijiVyTbyuFrPBo6e/o+h9Q4lFEYJR+v6fpnORQZ0l2iTA54nIMw31keq8Fm5\njklwx+hqO800sENJQVEQHNrGSBKhawpcvvH8SHpgfH4pmuVyNcNiX3w9iluV3IeqSvMWXjMoEgbW\n8Nxcwvf+u+C4Y1OOWFnQLcXQzBSlWFomL1apb75MfNvAMd19C1Lflkr1a45JPTaqSvWDUI44ClR1\nkl8oIz2UbNeQU0O53Lr/cU8w2lZla412VWpfldYXSzpXszQs3MUkPwDlh/t2qPS5Bf2PCXTGL3hu\nFE9TuNUhfS7k7NVph6VoF7eVEMS67iIlepuyYE5KYYMsOG8Tjge+/dSmSoacbFs6aUGifVWeOY51\nlEGhlI9zzfScYW4+lPOd7DjaqSUzYbm4DqM8Rtky2TK0r3AJVpWpp64uPV2Vdi5L7Mbyx6EfKiQN\nao8p00LjHMajpBKN/cKS3PjnP55GBdkwTwvTP5vH+eg6m8dAtT4FGgVqiQTRRc4bC9rRFKBjKqB/\nef7rlk8ABEEQBGEMkQsAQRAEQRhD5AJAEARBEMYQuQAQBEEQhDHkNS0Bdt7xMwB0Tz4ZigI/CCla\nFAUUDZnPhbgv71yQ+iLW4no96PXC46bgp8v7IZIMFUv5JikkSRD+0lCS0WdtfNbGJi1c2sIlGda0\nsCajSFoMTAeAXGWVmAN1kpf1Zkj0GLgU76FlclpqnkQVtZpUSiOLJblV94dKgdYlYSNN4QlYcDua\n8NVsbyzB2pTMYtpfXEdcv8YxKiY127sKeGrqTVVp1FEUoURnlLFiX6JMF9sZUsc0A5swl6fMDRIe\n3avptGH1ZNj+VCcn0Y7M2DI1zlWlVWNbw3THtLS6P41GV21vtsWXJVYdukxBq8t35s6UyYua/kDR\nzjxZ4mglQZjKjK3aEsbRD5V5HZKTGnJTM3HMlnOUFymF1/TyhH5hKKyim1naaVGVOAZo6YJuMkDh\nOarr2bx+kZQ3r6r+5Dar0uyKclubgSd664bEu9jeWjykEg+dD+mNhVMUNvQhlDR2lTzWTD9LdJAP\n08ZYROFxdH5G5b247yhfPreIdNeUM0OqXLOIb0yeDO8J8+HAU5WiPZQIWImqgNNptZ369aZINpwg\nV6XpNRL+5m1Cv0hxXpEaS9sEUTPRNiQGKof2dQJhHCfH8DlBK0emclJVACvYtObZkfcs0pcR+c2j\nmMoU6ybq84z1MUUyvGfeanxhQnpjI8FRKV+Vuw7j6st5bsxhuf+3zaEt3ma552YfR9sTUyCrssdW\nlcmOYd+L5bSD7FondzbPhXFfjuWU60TK+txoynTU5vEQ5oCqLbnV9HPDTE9jHazoOiZbYS7bSTg+\nTVmGfKlzQCSmPL5U5BMAQRAEQRhD5AJAEARBEMYQuQAQBEEQhDFELgAEQRAEYQyRCwBBEARBGENe\n078CYN+TAPjnDtQGP4TC4q02SikU1EY/hF8CVA9GYn4jqo6eVVqHx8aANvjyVwAubeHSNgAubVGk\nXQatSWaz1Tw8cwzr2jNkeoDGV6atc5q5os1/Pz1FO3PM55qpjmV1t1cZ2jESM9UW5zUHipU8M9dh\nRSunk8wPWbnRwA817cPjaI82rWOtfGWmKzy5M5XxCiEaNkajWmcqsza3weSNFmpudWXx9gaGdhrq\nwM8XmnYaluoNdGXZ9geaLKnbl2hPUtq9ziveBDzeW49ziszYxvtc1UcHGOWr+vTAUExo7JP1GqMc\n7cSSJZa1m0JkaOxLNGtdo6/zNh0acwBbrtc6XfW3sIp+rknKOFfrFL15TaflQttTx0QWaoO3TUGm\ng6HbTYpgsnfyMkbXYXyB8vWvI7QP8z5klfv69lD1zr0euX6PP6RosYBRCz3+oiOa57aMY3UNOz7+\nusOYsr2mHm/osro1O2RL1xHFCyNRn6+mfNUnXxvxA58M/fIlEkzx0p8f+TWLUsPbGH0tRhkv1tYm\nzV+/FKRVTLH1htwZBi6Y+c/Opfz3j8L7jlqnWTdV0E4tqXYYbdGUvyJYpF2jY9KMdo79SlVBluas\nTGer9g/90mGk3fEYgnp3GN1vXHluS3RRvdeVa44Ry9F4b1r1UJ4yifHMw/PXjKg22pMQ4nsjmmDF\nL/ZX59D5DI9tzI1pzJEubful5r76NcjIr0aWovq1xsgvJpaM+V1kvYvNw2LbibNnva6inYsy2teW\nvxjq5y0Kp7HlLw208kO/mohjcWCw4pDbe6HIJwCCIAiCMIbIBYAgCIIgjCFyASAIgiAIY4hcAAiC\nIAjCGPLalgBjrK/zgF1c6KN2qlA6CILN+6Xwp0wSHmsDxtTSjDHle8NteBykmihu6WJA6j3GztOa\nP8jKZC+FbTGvuvTUBDPFJAD7+xPsfTalnXkS4/Heo7VnLs/QpdyRGYv3KohGKkzPVHuA9Yq+zao+\nRTHH+xBJ6bzCOlVFrcZYz7xQzM0rsiTIOf0BaA3dlsc0Lv+y1JE0ZBNdxnZq5at1pQ2BLzWuqtMO\n0M/DyippblBGwDpQpXQ0UApTjn/c9v7ZVjkWaSUK6kY7YlRnjMhNyphQpajih2OcbxSAmrHEo5Gx\n9fNL1a9fulb78ONG1fgo0pVyT+HCvPWKFgOXkFtdzW1WSoIxyjPRFqOKoOGVMbPal/e9a0iCzfjZ\n569LX7WzkgjV0HMh/lZVsbXx1sVa7XpxUdB6U8uY3lTyUu4MudUhetWF/S/MUS2GxX0K6tjZRipu\nmDvtK9lJq3reo/gHwwLYoeJSF8yVq+eses3HOOdhCTEKqPE9zeficQcw1Sk4+YTGdjzMF4a+NyiV\nVuOgGxKgUnF/HI6QNU2preprjWNYUPM+HO+ecOzH7UdxTDckujiWzbFqnk+a/bQNCTC3JsRYl8f3\nTE/z3AwkBia7lNHWfsFx61QpOLq6/7ac4ziuce5H43NHsZUEqqDc95rR8qhZqwAADh5JREFUxM3H\nSx0RzfUPxQ43xnopSXVo3htSanNfiGJkPZb18taF+GDrw7kxCn5ZEmLBAVpJEEczU9BN4jnPVee2\n2L4o4K5pHQQmDjFqLwz5BEAQBEEQxhC5ABAEQRCEMWTZvgLYs2cPf/RHf0Sv12Nubo6tW7fyoQ99\niBtuuIEHHniAoijYvn07559//nI1URAEQRBetyzLBcDBgwf5jd/4DW688UY2btyIc46rrrqKL37x\nizz22GPceuutDAYDzjnnHLZt28aKFS9P6IEgCIIgCIFluQD4p3/6J0477TQ2btwIgNaaG264Aecc\n73nPe6r3WWtJkkM0cf2R4XbtEUMCoPIuiIHe1Wl/URgcFaeiJKUbdpK1dXKXd3idhOWi+BeTAeO6\nyu1oZ9G2QNscY/qk+RztZJrJpBOaO9li4+QEA5fStxk9m4a0Oq8xZRJgqi25M6SEpK7CJVgPE8mg\nErIAWk3RrSFSRUFqqIsMS1KL1ZmPz8d1NJ8fZSlRDhbKcuE5teC5kLz1Bt685unqPU0JCxhOIytF\ns75LKZxmvtBVXXmjPa3EYXQQABNdi2NR2Il9a9b0tl5XSYbzeS0tJgbaqSNNXKhXXtYLHxWz4uNR\nYcw1UgWbgtBcrpnNswVzNirENWWixWjOSxS/ItaFuuNBNgqP+wOY69e7eLsVJNAs9WTGkyZuqDZ7\n7FtTlBoV4gCmB+2q5npeaOYGmpme4sdPWfbvn+f4N3aZKj2lNAnia2I8RjG0j1b9dhrrqaSpQaGY\nz6HXh7m+pyjCMhNdTbcNrbSs657G9dbj2pTgmgJeHNumpOU9FHZ42/N5GDeAwkJeQK8fRiFNFYlR\npEnYVxITtxkE2yg7RtHV+YZ7PHJsGl2OdSlMxtS3uC/H5+P+HPpYyq/KNY7dxY/9JrW8VotzcV91\nhBTQwpXzacMx1h9oClv3pdPyrJp0Zapn2GcUQQBsHhcL99FanHOlBBcTPeP4F67eZ5sic1MgDfcX\n719c1pWnextP/74+/WsV54gysTSMdXO9Wvty/Ov7UYxupvEZ5dFl2qOKc1Qe26OJjqPnWKjTIBeb\no7hUkG6HUxgBZvLukvP8YliWC4Cnn36aY489dui5brfuUJ7n7Ny5k+3bt9PpdA538wRBEAThdc+y\nXAAcffTRfPe73x167kc/+hF79+7lhBNO4KqrruLUU0/lyiuvPOR6Wv/nXAA62654xdoqvLL81AlH\nLXcTluD17sce+lOGF8IZP7XUxXnCwlPLS93eUsu/9H68cMzzvwU4vG36n/MzP7nyf7CUYnmOjVdy\nTF8b8/VKoLz3S39m9AoxMzPDhRdeyE033cSGDRvI85yrr76a0047ja985StcfvnlvPe9733e9fS+\n9lk6Z11O7//d/PJ9BRALATWe9zqpMwNG8gAAvDZ4neB1KBjkTIIzKU6nFEmLvPwKINcterywrwA0\nza8AFC2TD30FoF8HXwG89U1v4Dt7nqze80K+Asidfs1+BRDvvx6+Avi/J01w93d6L/NXAEq+Anie\nrwCav1t/KV8B/O8TV3PPfzz3or8CSBNPK315vgKI+SWv1a8A4sf+r+RXADGnIrwWnj918yru+Y/n\n/ocXcMMsyycAk5OTXH/99Vx77bU455idneWMM84gz3Mee+wxbrvtNm677TYAPvGJTyz4ukAQBEEQ\nhJfGsnwCIAiCIAjC8vJ6/6JTEARBEIRFkAsAQRAEQRhD5AJAEARBEMYQuQAQBEEQhDFELgAEQRAE\nYQyRCwBBEARBGENedRcAzjmuu+46duzYwaWXXsqjjz469Prdd9/Neeedx44dO/jyl7/8gpYRDi//\n/u//zqWXXrroa71ejx07dvD973+/eu4zn/kMO3bs4AMf+ABf/epXD1czhQZ5nnPNNddw8cUXc/75\n53P33XcPvX7nnXdy3nnncf7553PLLbe8oGWEw4e1lo9+9KNceOGFXHTRRezZs2fR9/3O7/wOn/rU\np4Bw3ozLXHzxxUPHpHD4eeaZZ9i6dSs/+MEPhp5/8MEHufjii7nooou4+uqrGQwGz7vMC8a/yrjz\nzjv9zp07vffe79692//Kr/xK9dpgMPBnnnmmP3jwoB8MBv4DH/iA37dv3yGXEQ4vf/7nf+7POecc\nv3379gWvPfjgg/7cc8/1P/uzP+u///3ve++9v+eee/wv//Ive++9n52d9X/8x398WNsrBP7qr/7K\nf/zjH/fee//ss8/6008/vXqtKAp/1lln+enpaW+t9Weffbbfv3+//8pXvrLkMsLh5a677vK/9Vu/\n5b33/t577130HPjFL37Rb9++3X/qU5/y3nv/z//8z/6qq67y3nv/rW99y3/oQx86fA0WhhgMBv6D\nH/ygP/vss6tzo/feO+f8L/zCL/hHH33Ue+/9l770Jf/www8fcpkXw7IkAR6K+++/n3e+850AvP3t\nb+ehhx6qXnv44YfZuHFjVR74lFNO4b777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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fmin = librosa.midi_to_hz(36)\n", "C = librosa.cqt(x, sr=fs, fmin=fmin, n_bins=60)\n", "logC = librosa.logamplitude(C)\n", "librosa.display.specshow(logC, sr=fs, x_axis='time', y_axis='cqt_note', fmin=fmin, cmap='coolwarm')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "[← Back to Index](index.html)" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }