{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Спектральный анализ"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Пример выделения частотных формантов из [записи](https://www.youtube.com/watch?v=2m-grMFq8bY) нашей местной райской птички. (Автор исходной записи уже удалился, но есть [похожая запись](https://www.youtube.com/watch?v=mIz022pTgEA)). \n",
"Копия оригинала."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Подготовительные операции (их можно автоматизировать, но здесь описывается ручной режим)\n",
"\n",
"1. Скачать видео и извлечь из него аудио, или сразу скачать аудио (если получится). Не забывайте о соблюдении авторских прав. Должно быть разрешение автора.\n",
"2. Преобразовать аудио в формат WAV 16-bit PCM - колебания в диапазоне `[-32768 +32767]`\n",
"\n",
"Информация об аудио дорожке в видеофайле.\n",
"```\n",
"Audio\n",
"ID : 2\n",
"Format : AAC\n",
"Format/Info : Advanced Audio Codec\n",
"Format profile : LC\n",
"Codec ID : 40\n",
"Duration : 19s 202ms\n",
"Bit rate mode : Variable\n",
"Bit rate : 96.0 Kbps\n",
"Maximum bit rate : 102 Kbps\n",
"Channel count : 2 channels\n",
"Channel positions : Front: L R\n",
"Sampling rate : 44.1 KHz\n",
"Compression mode : Lossy\n",
"Stream size : 225 KiB (26%)\n",
"Title : IsoMedia File Produced by Google, 5-11-2011\n",
"Encoded date : UTC 2015-03-13 13:52:49\n",
"Tagged date : UTC 2015-03-13 13:52:49\n",
"```\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"remove-cell"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"%pylab is deprecated, use %matplotlib inline and import the required libraries.\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"from ipywidgets import interact\n",
"from IPython.display import YouTubeVideo, Audio, display\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"from scipy.signal import hilbert, periodogram, savgol_filter\n",
"from scipy.io import wavfile"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(846848, 2)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u='d/merops.wav'\n",
"fs,y = wavfile.read(u)\n",
"y.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Запись открылась в виде 2-х длинных последовательностей чисел - левый и правый стереоканалы.\n",
"\n",
"> Посмотрите значение в переменной `fs`. Убедитесь, что Вы четко понимаете, что характеризует частота оцифровки звука.\n",
"\n",
"Для расчета продолжительности записи в секундах разделим длину последовательности на частоту в переменной `fs`"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"19.202902494331067"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tmax=y.shape[0]/fs\n",
"tmax"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Рассмотрим данные на рисунке. Также отобразим графически разницу между каналами."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = subplots(3,1, figsize=(12,6), sharex=True)\n",
"x = arange(len(y))/fs\n",
"ax[0].plot(x,y[:,0]);\n",
"ax[1].plot(x,y[:,1]);\n",
"ax[2].plot(x,diff(y));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Различия между каналами незначительны и дальше мы можем работать или с одним каналом, или с их средним."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(846848,)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y = y[:,0]\n",
"y.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Визуально выделяются несколько частей - два звука с интервалом около 2 с, 6 звуков с интервалом около 1 с и еще более тихие звуки - шум.\n",
"\n",
"Можно заметить, что после громких звуков шум меньше по амплитуде - это отражение динамической подстройки чувствительности микрофона при записи: когда громких звуков нет - чувствительность растет до определенного уровня.\n",
"\n",
"Давайте послушаем шум.\n",
"Чтобы получить позицию в массиве данных, соответствующую заданной секунде, нужно время умножить на частоту (rate, frequency). Поскольку позиция (index) не может быть дробным числом, то преобразовываем его в целое (integer)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"269010"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"int(6.1*fs)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"shum = y[int(6*fs):int(8.2*fs)]\n",
"plot(shum);\n",
"Audio(shum, rate=fs, autoplay=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"По контуру можно различить шесть однотипных звуков, убывающих по интенсивности. Перед 4-м звуком еще один короткий резкий звук.\n",
"\n",
"В зависимости от того, что мы хотим изучать - полезным сигналом и шумом можно считать разные компоненты звука.\n",
"\n",
"Даже там, где на графике ничего не заметно - звук есть. Даже при записи полной тишины присутствуют помехи оборудования.\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"shum = y[230000:274000]\n",
"plot(shum);\n",
"Audio(shum, rate=fs, autoplay=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Давайте выберем секунду записи с самым громким звуком. Чтобы получить целое число для позиций, отстоящих на полсекунды до и после события, мы делим частоту на два, но при делении используем двойной знак деления."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(22050.0, 22050)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fs/2, fs//2"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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M2LyjkeOvfwyAyUdWsWNXM1+eMpaN2xv5yHHVmFnb/LqDT9/2TNsdczdtb6SiXx9unLOYF79zNpX9y9tN29TcwpK19UyoHpJ2XtsadnP9g69y34K3AejXp4yXrjubfn3KKCuLlvuUG+ZSv6uJc989itl/W9XW9v7L38sx1ZU0NDWz8K3NnD6uiuff2sT4kYMZ0K9kvm4kAyuFc8jNbCDwKnAysB6YB1zp7hnv0FZTU+O1tbUF6mHPMH/perY3NnHO0SN5Z8tOPnzLfGbPeA+HVw3EzKjf1cSm7Y08/tpaxo8cwuFVA9nd4m1XKQ/t348h/fuyZedunlm+gfeMGU5FeRkV5X1oanEGlPdhzqI1rNywg8+dOppdTS0sWbuN/Qf0Y2RlBTsam3hm+UYeeP5tvvHB8VRX9ue469Nf0HbS6P157+HDqRq8H/NeX8fc1zM/tW7M8IEsX789L+usp5hx2hieX7mJ2pWb8v5eK37woby/R0+wvK6eP72yhntrV7FyQ3R23GWnjeGhl9/h7U07efKfJ3PIAQMYc/XDXFBzEN+aehTlfcv4wwuruXDSwW0/avaVmS1w95q0dSUSGGcAX3H3j4XxK4HB7v7dTG26GhjL6uqZctOf25WNHTGIlhan2Z3mFo8Nw/r6XR3mccgBAwBwonXbuorjq7p1vTt76jpMT7xdpjpPmS5l3mmmbx3fMy+nYXf3+KUsvcvhVQPbjXuakXhZ6ucmKos38Y5lab7iujSftPPLPF1n7xP/7vWUgW05eJ5KV4N5b4FRKtuI1UD8J2QdcETqRGY2A5gBcMghh3TpjVZv3tluvG+ZMe7AQZSZ0afM6GPRLovWv3c/91aHeUw8ZGhburdlvLX+MczaFcXGY3UpDc3ST9+xrv2viqjOUtrF6kLhPX9bxZad6e9nJJIv40eG3WKxf9v4f3CHzxEd/4/j07UrbzfP9p+BeLWlma7d+7T7SGUxnwz97TidsXH7Lv7rhdUdpknqpNH7d7nt3pTKFsZFwPvc/Uth/NPAZHefkamNdkntu4bdzdTvauLN9dvpX96Ho6uHsKupBfdoS6p6aH/6lGXezF23rYGWFhhZWZG23t1xh7Iyo6m5hb59onMuVqzfzqHDBrR9iFZv3sl9tW/z7oMqOWP8CLY17G53r6UbPnYsm3Y0cn7NQTS3OL986k1uS/AM7erKClZvaeh0uqSGDezHhu2NOZtfsVx08iHsbGzmqFFD+P+PL2F7Y3Pe3mvCqCE8fGX640vS3padu1m3tYGP/vQv/PunT2Dxmno+MfFdbG1oYlRlBf/9wmqW19Xz7XMnANDcEu0B6dc3u3OZesIuqSnAP7j7+WH8SmCYu1+bqY0Co2dp/T/tbL/sP9/3IvUNTfz8khPT1u9qaubIb89pG//kiQfxo/OPSzvt6G8+BMD8q85g7dYGTjz0AHY1NVNetufg78K3NvGx/3h6n5cn1/7rilP52r0vsKxuO3/55gdYsHITX7l7IctvmNbW17hZf13B757/e9pbp2+o38UvnnqTn/95GQCXnT6Gb009Ku37Xv3Ay/z22bc4+ID+rNq4k2evnsKQinIqysvYurOJygHladtJ99UTAmMQ8AowCdhIdND72+7+50xtFBjSmR2NTTk5c6c1WIqlX58ylnxvalH7ID3H3gKjJK7DcPd64MtEQfEq8NjewkIkiVI5zfPxfzo9Y934kYN56bqzC9gb6c1K4xMDuPuDwIPF7odIoY0dMajd+EUnH8LZR4/klDEHsF/fPkXqlfRGJbGFIdLb3RQ7zvK9jx3L6eOqFBZScCWzhSHSXX3o3aN46KV38voenzjxINZua+DjJxyU1/cR2RttYYhk6cyjRhTkfS6fPDbjKcsihaDAEMnSxEPyc5GUSHejwBDJ0v4D+xW7CyIFocAQydKQiuwvTvvxBekvHhTpThQYIt3Axyd2PJj9oWNHccuFJxShNyLp6SwpkW5iTNVAtu7czfr66P5UP71oYpF7JNKeAkOkm3jia5MBWLVxB4Mr9NGU7kf/lSLdzMHheSoi3Y2OYYjkQN+93PZdpKdQYIjkwVkTDix2F0RyToEhkgOXTz683fj+eg6E9EAKDJEcOOZdlV1uO2V8YW4tIpItBYZIHvQvT34n2Rs/+e489kQkdxQYIjkwoXpIu/ELTz4kcdthg/bLdXdE8kKBIZIDB+3f/lTY8j76aEnPo/9qERFJRIEhIiKJKDBERCQRBYZIHowYrAPZ0vMoMERy5JppRwEwZvhABufgGRki3Y0CQyRHTh07HICjs7iIT6Q7091qRXJkQvUQ/v3TJzD5SF25LT2TAkMkh859d3WxuyCSN9olJSIiiSgwREQkEQWGiIgkosAQEZFEFBgieTJ4P51TIj2LAkMkT6oSXO195lF6lKuUDgWGSJ58ecrYTqc5bdzwAvREJDcUGCJ50q9P8qfuiZQCBYZIEVmxOyCyDxQYIkXkxe6AyD5QYIjkyZiqgcXugkhOKTBE8uSIEYOK3QWRnFJgiOSJWedHKFz7pKSEZB0YZjbazP6eUtbfzO42syVm9rSZHRar+7yZvRZen4uVjwnTLgltK0J5mZndEsoXmtnEbPss0l2MHzm42F0QSSyrwDCzrwLPAalPjPk6sMLdxwEzgZvD9KOBq4Aa4CTgG2bW+vCA24CZoc0K4PJQfjEwLJRfHKYT6RHGHajAkNKRVWC4+7+5e7qnxUwBZodpHgEmWbR9fgbwsLtvd/d6YA5wtpmVA8cAj4b2s4FpsXndE+a1CDAzOyibfosUQlmCc2YT7LUS6TbydQyjGlgXG98KDEtTXgeMBEYAm9zb9ui2lqebV7yuHTObYWa1ZlZbV1eX9UKIZEPHMKSn6fTuaGb2OJDu/gXT3H31Xpq2pIz362J5Z3Vt3P1W4FaAmpoafRRFRHKo08Bw9zO7MN81RCGzNowPJdoyWAOMj01XBbwc6oamlK9JmVe6OpGScfzBQ3lh1eZid0Oky/K1S2ouMB3AzM4BFrn7bmAecK6ZDTCzQcBUYJ67NwKLzWxKaD89zCN1XkcDA919eZ76LZI3SY5piHRn2Z4l9SUzqwX6h2MHF4aqG4EjzWwpcB3wRYDwRf9jYAFQC/zI3d8Mbb4AfDe0GQP8MJTPAraa2RLgLqIzpUR6hDId9ZYSktUTXtz9Z8DP0pTvAC7I0OYXwC/SlL8BvCdNeTNwRTb9FCmWo0YN4bV3tmasrxxQXsDeiGRHV3qL5NGQij2/yaYdO6qIPRHJngJDJI/iu5z2H5D25D6RkqHAEMmjf5h8eLG7IJIzCgyRPJp4yNC24f799AQ+KW0KDJE8Glyx56C2bjQopU6BISIiiSgwRAokyb2lRLozBYaIiCSiwBApkP366uMmpU3/wSIFUj20f7G7IJIVBYaIiCSiwBARkUQUGCIikogCQ0REElFgiIhIIgoMERFJRIEhIiKJZPXEPRHp3Ov/+kF0VxDpCRQYInlWUa7bmkvPoF1SIiKSiAJDREQSUWCIiEgiCgwREUlEgSFSQB874V3F7oJIlykwRAqoolwfOSld+u8VKZLPnTq62F0Q2ScKDJGC2nMF3798aEIR+yGy7xQYIkVSVqbLv6W0KDBECki3CJFSpsAQEZFEFBgiBeRe7B6IdJ0CQ0REElFgiIhIIgoMkYLSPikpXQoMERFJRIEhUlA6r1ZKlwJDpIB0HYaUMgWGiIgkosAQEZFEsgoMM7vXzJab2RIzu8Us2uA2s/5mdncof9rMDou1+byZvRZen4uVjwnTLgltK0J5WZj3EjNbaGYTs+mziIh0TbZbGLOAw4GjgLHAR0L514EV7j4OmAncDGBmo4GrgBrgJOAbZjYitLkNmBnarAAuD+UXA8NC+cVhOhERKbCsAsPdH/RIM/AqMDJUTQFmh2keASaFrY8zgIfdfbu71wNzgLPNrBw4Bng0tJ8NTIvN654wr0WAmdlB2fRbRET2XU6OYZjZAOCjwJOhqBpYF5tkKzAsTXkdUciMADa5t91pp7U83bzidan9mGFmtWZWW1dX1+XlERGRjjoNDDN73MxeSPOqDvUG3A7McvfFsaYtKbPq18XyzurauPut7l7j7jVVVVV7WyyRorig5mAAhg4oL3JPRPZd384mcPczM9WFsPhPYLO7z4xVrQGGA2vD+FCiLYM1wPjYdFXAy6FuaEr5mpR5pasTKSmDK6KPXHVl/yL3RGTfdXmXlJn1Ae4AGoEvpVTPBaaH6c4BFrn7bmAecK6ZDTCzQcBUYJ67NwKLzWxKaD89zCN1XkcDA919eVf7LVJMY4YP5KtnjuPWz5xY7K6I7LNOtzD24mDgEmAJ8Fo4o/Y5d/8McCNwh5ktBdaH6XD35Wb2Y2AB0T0SfuTub4b5fQGYZWY/B54HWk+5nQWcZGZLgB1EZ0qJlCQz48ozjyh2N0S6xLyHPtGlpqbGa2tri90NEZGSYmYL3L0mXZ2u9BYRkUQUGCIikogCQ0REElFgiIhIIgoMERFJRIEhIiKJKDBERCSRHnsdhpnVASu72Hw40QWHsofWSUdaJx1pnXRUauvkUHdPezO+HhsY2TCz2kwXrvRWWicdaZ10pHXSUU9aJ9olJSIiiSgwREQkEQVGercWuwPdkNZJR1onHWmddNRj1omOYYiISCLawhARkUQUGCIikogCI4WZTTOzV8xssZldXez+5IOZTTSzl2Ljw8xsjpktCX8PiNVdE9bFK2Y2NVZeY2YLQ5ufmFlZKO9vZneH8qfN7LDCLt2+MbOK8Nz6ZaHPV4fyXrtOAMzsN2a2NLx+b2YDe/s6aWVmXzezV8Jw71on7q5XeAEDiS72G0n0NMKngInF7leOl/EmYAPwSqzsduCyMHwZ8JMwfBowH+gDjCJ6umJ5qFsMHB2G7wY+HoavBb4fhs8B/lDsZe5kfVQAZ4Xh/sCLwPG9eZ2Efp7JnmOcvwU+29vXSejrqcDC1s9Pb1snRe9Ad3oBZwAPxMavBL5d7H7lYTlHpwTGSmBoGK4E3gjDM4ErY9M9ALwPOAxYGCv/KHBbGP4zcFysbk3rF08pvIDfhw+r1om3/Yh6DDi5t68Toiu2nwvrojUwetU60S6p9qqBdbHxOqKtjZ5umLtvBnD3LUDrZnWm9bG39ZRatxUYlvsu556ZHQicAjyL1glm9nmiL60Xib4oe+06MTMD7gS+AayNVfWqdaLA6KglZbxfUXpRWKnnVseXOdP62Nt6Krl1aGb7AfcB14QvgF6/Ttz9dmB/YARwKb17nXwVeNrdn0wp71XrRIHR3hqizc5WVaGsp9tkZoMAzKwS2BjKM62Pva2n1LqhRL+iui0z60e0K+pP7n5HKO7V66SVuzcBjwM19O51chjwGTN7HZgLHGFmT9HL1okCo71ngZPMbISZ9QU+SfTP0dM9AXwqDE9nzzLPBc43sz5mNgqYCDzn7suASjMbn6HNdAAzOwdY5O67C7AMXWJmA4AHgafc/fuxqt68TvY3s7PCcDlwHlBLL14n7v5ldz/S3ccDU4Cl7v5+ets6KfZBlO72Aj4MLCI6q+HaYvcnD8t3PfASsJPoS+B0ol85j4ZlfhSoik3/HaKzOl4Fzo2VTwJeAJYCPwX6hPIBwL2h/K/A2GIvcyfrYzKwC3g99vp+L18nBwDzgBWhzz8m+nHZa9dJyvoZzZ6D3r1qnejWICIikoh2SYmISCIKDBERSUSBISIiiSgwREQkEQWGiIgkosAQEZFEFBgiIpLI/wIfttaRdZuecAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"i = argmax(y)\n",
"signal = y[i-fs//2:i+fs//2]\n",
"plot(signal);\n",
"title('max(y) = {} у.е.'.format(max(y)));\n",
"Audio(signal, rate=fs, autoplay=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Если обратить внимание на ось ординат на нескольких последних рисунках, то видно, что амплитуда шума составляет около 6 у.е., а фоновых звуков около 600 у.е., что намного меньше максимальной амплитуды сигнала - свыше 20000 у.е. Громкость цифрового звука измеряется в у.е. и реально задается регулятором громкости колонок или наушников. Громкость реальных звуков измеряют в дБ - относительно порога слышимости."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([3492. , 34.92])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max(y)/array([6, 600])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1 дБ означает увеличение звукового давления в $10^{0.05}$ ≈ 1.122 раза. Относительная громкость в дБ расcчитывается по [формуле](https://ru.wikipedia.org/wiki/Децибел):\n",
"$$ B = 20 \\ lg_{10}\\frac{F_1}{F_0}$$\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([70.8614847, 30.8614847])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"20*log10(_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Интересный звук находится на 18-й секунде записи. Он очень короткий, поэтому частотная составляющая не воспринимается.\n",
"Звук при одномоментном резком перепаде интенсивности (давления воздуха) называется *щелчок*."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"shum = y[795000:799000]\n",
"plot(arange(len(shum))/fs, shum);\n",
"Audio(shum, rate=fs, autoplay=True)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"specgram(shum, Fs=fs);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"На спектрограмме видно, что наиболее выраженный сигнал, начинающийся с момента щелчка, имеет частоту около 1 кГц.\n",
"\n",
"Для более точного определения частоты используют периодограммы, или в просторечии \"спектр\". На выходе мы получаем суммарную оценку спектральной плотности сигнала: как бы сжимаем спектрограмму по вертикали и кладем ее на бок. Рисунок по-умолчанию отображается в логарифмической шкале, дБ."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"P, ff = csd(shum, shum, Fs=fs, scale_by_freq=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"В обычной шкале наибольший пик значительно выше остальных."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot(ff,P); title('Спектральная плотность щелчка'); xlabel('Частота, Гц');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Значения спектральной плотности в виде комплексных чисел. Можно перевести их в дБ как на предыдущем рисунке."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YqAjyU+PYV6eJQqnBPGnMLnQMtssC8oFngL8EOjA1vMuOy2drZQu3PPUp8dER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\nIT/38HSPvHVrgg1GAzXA7tawAbDFy8qvnZC3zs2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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vv = 10*log10(real(P))\n",
"plot(ff,vv); title('Спектральная плотность щелчка'); xlabel('Частота, Гц'); ylabel('Спектральная плотность, дБ'); \n",
"grid();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Чтобы получить частоту щелчка, нужно найти индекс максимума на этом графике, и получить значение частоты с этим же индексом.\n",
"Точность зависит от параметров сглаживания при расчете спектра."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1205.859375"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ff[argmax(vv)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Для автоматического выделения отдельных звуков существуют специальные библиотеки. Для понимания принципов воспользуемся инструментами, доступными в базовом пакете `scipy`.\n",
"\n",
"Аналитический сигнал - это сигнал, разложенный с помощью преобразования Гильберта. Из него мы можем выделить:\n",
"- Амплитудную составляющую (отклонение на комплексной плоскости) - огибающую (envelope), которая отражает выраженность сигнала.\n",
"- Частотную составляющую (угол движения на комплексной плоскости) - мгновенную частоту."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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z+yLK3sGLFrOC2SRyVgeW+QS2KuoQAttMiFWUO9yqz3fttYjouo7ToxEdajX2\n0XyCPspu8dlTvBHs+HCb348d00S8BtoITu6EZS9ARH2whVFQ5qZFPZEmLrdURJsLytys0drysOtO\nVg36DexRQmB7HL7p10PcYtKYJvnrYXI0HPyNo1o8jaJDAcgwN4bwBPLL3CgKJESEkO8V24rCEO1l\nAOqnLxBizsiXXaKEk29ryG9qJ7Hv213g50fh6VgcHw5m77PdObFrjRi4eHQduxIuo4frXeLDQ8go\nEJ+bXSeKfHnDv2r8BPR/EvKPkLjqvzRe/qj/vTi4FD6+El5vDytfg69vE9fy9a0iIl14QkSSdV34\nuCv7POenwckqPN7n9Ku8/Nyr4JppMGAyuXoVKfqqyv4SSOrHMPe2oCKbIxu+uxv9uUaw/n0KPxpG\nk9QX/TssnHRqLz3Qz70cnk8SAzUDrrlk+3y07d+Kle1z4d2ewfV+fh18Mlhsq250Hab1gZfPgaxd\n8M0d8Nm18OFAsV2thYGsBcfgWCp7UpeSkX6w8n2cRbDifyJ15D8QmQf7TPC4oDSb4sw0QhJTsEbV\nh6kXiBvEwCl13bo6JW3VV4QnJJHQ+l9104ClL4gn9dt/9ZfpuogEnUXoRRko1jDxYyypWTZ+Km7i\neYcgLO6vfUfL8sEe/cefJ1epyG+ctQcyd0LjruLc8ecE71eQLlLAzX8COt0EQ9+pvL5AdB10DXIP\nYnq7K4dsrUiZsL7SXTWPm43vjqZByR6SnCIK54uq/PKY8B0/eAoBkZ4KjnxocbG/LGO7yJgx716I\nbATth0HuQTinP7QdKrrsncGzEOboUUSHWgkxUu9pmt9vbTYpmBXFiGD7PdjeCWicAYMc7VZhEQG/\nwDYpEGoTZR5NCOyoUAsZhcHp+GLCbD7vtTeLSGx4YATbENi5h/z/J6+F4dJn8agaJS6VJnFhbDyS\nT6FhFxG2EYW52kWcr8ZzAfjT/k27CCYXEFYmvMRtC/2R1gwtmgbRdsCf+SSvxEWU3Up8uM1nF8kt\ncXG0SGeM6VE+tr0sxByANZzHbU/TNiqK3w95OB7Xg0a56+D36QDYjy6nFcDsy3zn/FntRtNGDQi1\nmkUEG0jLEannTArC9tK5N3+EvvptlFIj+rt9bpBI1M0hKKoTrnwVut0efGB+RY/7b2pHIs0eul71\nBvS6D379b3BEOrqxeO0yhvO/SuBgyE2YFF38v7qMhlVvVh5V99ppTMYnPjCHuUGoKwc2r8H7bY5y\nnqDCHfkHo5ZKAAAgAElEQVR0o+MvNoOe46BhJ/T2wwj/ekTwdl0VvSNWuz96fWiZ+GvaC6Iant55\nToec/ZC5o2K56rcg8etk6DdRDPAN5M/kcz8F+pc3oJzYQmsgk1iYfNjfjLJCMj8dQz27ivnQUnE/\na9oTkv/4sweIngh7zFn3u14eKbDPhO/HoR9YQkRpDjmmeOI1w9eVuQMGTBZf9pBIiKh36nq2zhFP\nlo8fBnOIeFJu0l1EmnL2iQEuug6ap+KX4GzAm87JEiJW84/TbNHtZJobwJNVpLuqKVQPbPpUTNgA\n4obfuCtENYa3u0LnkXBRQDRG06A4Q0TgGnWqWJezUHjvGnYQI/jjkqHVZVC/XfCX2llE/jsDKOn5\nEI17lbuhVoHuLkN5tTVHIzvT5OGlp965IF2Ir5hmQtyZTND7IZFWTFIRj1NYE9oPF6LvyxvBKwRA\nWACq4tenRBfqzd9Uvr00V1gezr8Z+k6A8PjK9ytIh7e6gqeSqExSN0i5SMwcaAmFL28Q32+AzZ8J\n8d7nMQiJ8guDQJzF4vNc5E8vluLaC/t+FSJYUdCdxRx57WLyIluT4DxC18JNVV+zd1BfSTbYIoSY\njmwg7juOApjRX2x/ZJ//fvbeBf7ji46LfM4gBtqZrbCj4vuXq4URZbcSYohjl6r5BbZiRLB14asG\nsJhMlQ9yDIhguzzCg201m7CaFV+Z06MSH24DwOFRfV/X6FArLo8Q916rSHy4jTK3iqbpmOq1BbMN\n9v4CLY3Bhcc3QpuroP0wCo0JbJrEhgH4BHZhmd9qc7LQuCc274uumFF0Fd7vT7SzYjq4NVpbukSK\ne6fXB36iwEHDaDtRoVafx/tQdrF4jenF/pIkWihG2r4Jx1j1zCIubxFBaloen7d+i0esX8Hylyuc\ny8sXWclc1SOO7GIXW9NFarxCI8tKs/hw8kpd0Oj8Ko/34hPXbYeApuL2eFD3LcauuIW4BtjxHTTq\nHDxxTyUpB9drrXnXPZSFhWZaJXWpaLeIagRgfDYUIa4BLn8JxzkDsS95Fn6fBgOfg9VviAfA4R/B\nV6PR8w6x3Z1E4mWP0SCgyq88FxGvFNLfUc15tQ0bTnFCRyKNor1aY1qZjF6RgnQxcVCg0AX437lw\n+2J/ykeAA7+J79IFD5yenvByeBXMvf2P91v5mrgPnXe1v+zIWhHlHjEL2pyGjST3kLDQtLtG2JNa\nXerbpJzY4luuRx78/Bj0fQI2zSR3x1Ianljir2eJkSXntl+hSTexfKrA2LQ+0PRfomfjLEYK7DNA\nj22OUvoVgF9ce8nYKrpHASZlgcVWdUXf3CFe9y6E/Ytg21dwzQz4/m7RhfPEEVj+CmydDfesFz++\nZwOqR3zxV78F6HDVG9CwMwU7fyUeqKdmwKzhcMUr4uZYUw8Hqgd2/wAtB4ru7oWT/Nu+vhUiG0K3\n20TkcsmzsPtnGPMT7FsgZjLz8sg+0aWZvU/sv2CiuGGXZ8mzYvBS/0mw+m1QTBSpFmIKdxOzcCws\nHIs+8SSK1V55W83i65a1P5V6QJOiTaCpHPviXhLaX0JIh6uDjynOFCm6ynNyJ9yxWHj6IhuIKHhZ\nvohIXHD/6YvvwAjP7p8gNA6a1VHPQzWR+smjdDn6CY7sQ+QUFNM4UFyDePh1FIjv0oKJQgAkXwiL\nn4LNxkCu7+6GCx8SgvPQMvE/11XY8a34Xq6fIf7G/CxEdN5hKMqAXveKyJT3e10Z6evFX1WsfUf8\ndbi+8h+PzF1B4trHrGspSeyMq1E3orZ+SDPdQzPH7or7VYLn4yFYDi/1reuKGSIboARaJV5pKb7n\nHW84dWWVDZ5q1psljr6Emcw+0exwq8ERbJOCR63CIuLx+6ZDrH7h7fRouFQNm9nk83G7jYGPXouI\ny6NhMn6kvd5pl6r5ItgxYX4hHhYeL/7XO76Dy14QP/B5h6HdMADfAMcmccLW4RWm3mnYTQqcNKLC\nKAq/nD+NK1Jvh2OpAGTqMdRT8qHFJaQPmMrC139nQLgNs0nxRdGP55fRKCYUq1nhcLbweB8xvN4X\ntarHmHWPsLjNT4Rc9AAuVSev1E39SDuxYTZySpww6EHI2sOg7X2orx5nq9ac7qY9vNwb1KQeZH+u\n0CQ2DLOikGk8DHgfFJJiQ8kvdYPFxtHrl3DzJ5v4yvY0edFtaDX8WUCH8ESeePVtXrDOEO29dBqN\nYkJJPZjDTdtXEkUpXzT+itam4yLy+35/uHMVNGgnvnu75on3p/1wcX9e/SZ7ddFzMHNNGs8MbSei\nmcAr7uGMCVtFQoOOAGQXC1E63XMlYy0/QVI3dmcUEaol0dqUzp51P9F68dOi/qSusGseCtCebWyf\nkx4ksB/13Mljli/pz+kJ7LzE7mzOcNLFtI8o5Y8HVJbt+MUnsD9SL+P+i1JosHISFBwR1hB3JXXM\nuBjOHwVXvSmE5ecjxP1m46di+/h0IbS9rHlXDEh9cAdEJ/nLv77l1IGEANTd88FZijm+ufhNNKwa\nGT+/QINTCeziLMjeS87CF4k/vgx+exaAwhZDiNr/PQVXfUAFtfL7NHRbBMrKV6kifw3679PJ2L6M\nhuG6+L0du1Tco0tyhJYKiRRCPj8N2g4+rWusS846ga0oymXAG4AZmKHr+gt13KQKTNjeiOfLlfV2\nvsHKkPv94hqEHy4sAYZOhbjmwr9mCYExPwZ7F78d61/+JuDJ84Wm/uUts6HHWCHU8tP8XZglOfB+\nP+gwAvpPFGWaJmYI63C9iLId3ySO73Y7WnEWpuRKRJSmim6X8ISqL9xVCtZQWPO26MbzYlxzUDxv\n30J4owOulldg63KzmFL4z3Q7FZ2EDy4R3YwtLxFP8w3agzVMiPvzrhai8Js7oNNIvzgKquOE+JJ6\nOb4RnqukG+71Dv5o4/zHT92uPT+LP4PIcpuLPhpG+PUzMEeJ23nG7jWU/voiSdkrKbn6U2Ij7NSb\n7RfSGRt/pPG+WbBvFkTGQ3xL9D0/o/z0UNVtOLZBRNVXvCLWJ2UKwZf6kYjA3rFERBXbDK5cbKtu\ncSOdcbF4Ty96DL68ET0kCmV8JWnKvL7CjK2sW/wtYUd+o/34pbD8FfR6bTjkiadBcmvMmouQ6ICf\nMU0Dkwktcw/pafto2m0QhTknOPLJWBpecCPx8fWgQQfxmQuMVBQeFw9mWXtE2rMed0JHf+9AydZ5\nFCmRNGgvPJvFu37Ftex/RIycSXzafDCBPXU6jSt7746uE98rWwS4RGSwoO2NRO8MyIe7+TPx90d8\nfEXw+q4fhd+xOtj6Jdu0ZNpf+wSsnQpbv4Qh7/qjxZUQnrWJ8KxTRKurIFBcAyLqWi6dGSC62Nf8\ngYVl08yKZaO+J3fqWuLsZqw+X7XmG+RoNimYlPJp+gIi2Ko3i4iG3WIOEt5uVcNmMQWVOT0akXYh\nsJ0ezdf97/dlqz67SXiIuCeVulTCbBYh/HZ+B0fWCAGoa+LejV9gJ0aGEGIx+S0iRqS5Vf1IMgqF\nwN6dUcgzq8q4IuBZe4naiestS6FJD4p0EbmODLEQZjX7BP+x/DLObxaD26OTVyoizGk5pSgK9G6Z\nwMy19dh60XS6JceRY3ioEyNDSIiwkVPsAls4jJhJWfpSFmc15Plr2jP+m1iGJnelWXwYsJzEyBBK\nnB7K3Couj0aRw0O4zUx8uI20HCH8jtmSOaxn0Mv5Flqmwvq4jsQZvQKLbAO4R/uOKe6RDD1WQKOY\nUA5mleDBgtMWy0uR4/mg61Eh9ABH6ufss51L+1VG7vCwBLhWCPRnMnqy54Sd7jFh7DpRKLZfM50f\nP3iadx1DWBlzC9+GxaGA7719zjOS1FYPMi0ikdz0kzzsmsQm+520XjjK/2YvmBD0EWznDvZ9W0wK\nEXENoRDyLInEeipmEwnknmMXs0przyDTGp4OmUlsVARKQTqleghhSkU/s22/P7NIhh7HiXp9aAB4\nfnsBS+6Bqk+08VO0qCa4844SUt4n/XwSPLIfIhKFv3nBeFG+cx50GIE+42K0lL6Yy4lrVVcwe6P+\n5TBv+xK2fVmhvEHRNna+chmJlz6MPa4xkUltxYaVr8Gad/GYbVgK0ynfhxe1Xwzijf7hNipDWVl5\n1hjf9m1zCPqFnt4XwhOhJIuCyBZEj5njz+hyTv9Kaji7OKsEtqIoZuAd4BIgHVivKMo8Xdd31m3L\ngrmw7wD2ft2YtVpbRlkWsUdpToOmraD8Q2P+EfH3bg8OXfohKelGdGfyGUSif3kUmvYQXyavsBr4\nnIjK5qfB8pfEjFyXvSi2752PtvptGLcW0/S+Yv91UzEBhffuJkoRNytPSS4F854gLzSZFkfmiCfM\nUfNElPfIGrjiVSF2dn4vRpI37wcHT5H3sxy2fT/Dvp+FxywkEtpdQ2nGPkK73ogS19wvrA4uFflM\nr5kOmz8XPk6AWcNEtNER7OkUntrDYjlQXLe+Evb8yZyjlXXll2P9qH1Mfv8rfgqZUGHbXa77ub57\nE/psfoSo4yvgf63hzpVkfPUwDXLW+fbLXv0+Jk9u0JN9gx8DfhQ+ESP4y3eKuXQzSkg42qifCMnf\nL364vJ8BgJnXQGiMWD6+EZ4ylhf9RzygbJ0DzXrB5i/gtoUw82rw3uSz9/r8k4qzkJKcY+TnZBK5\naRpRCY2hz+Oor3fAXCyipj2MUxZu/pao355FAZoHvRmrIe4cPLOuw3J4GVpMMqb8wzQFjiztgO4o\noJ2aBr8sD77IPo/DRY9RtGo6kUvGB2/7dqyI6g58DqyhhH9zM+GAO3Et1phGRMy+Vuz3anOST3fY\ntiGugWBx/Vf4i+J6tqcvIyxLfevtt79AXqiL2PX/EwWB1oxaYpptNNcN7EvsD0Iskb331AdUhtlC\nmUslLNaMzbByuAOi1WaTgsVsQg2YaMZcaRYRbwTbn77P7dENi4hfjDvdKpFGtNrp9gvsqICBj2Vu\nFbvVLEQ1/kGProZdsSHyM1si6xEBOOLOxY5fYEfZrUSHWn2R60KHm1CrmaTYUNLzxL3kvi82kUmM\n7y1YpZ7HU55RLNc6MDJxODbDcx1htxBqM1PmUilzqRSUuWkYHUqhw01+mRtd18kschIXZuPcBuJx\n/lBWCd2S4zhmnKthtJ24cBs5JX7bQV6pmxu6N+Gqjo0Y/802dp8oJMzwqSdEhPimky9yuClyuIkK\ntRITZiPfGLiZWSS2uw2JsPdkET2bx+PyaOSUaXzU+wd+WXmIzoZ/+0BWMXariYvb1Of3Q7kiANKw\nI/qnQ7Cvf4f2AR8Ht7MYb5/mATWR2HAXjaLtpB4RGT6Ko1tyT4GYOXPz0Xw+Xn2YWy5I4fGvxYDR\nuHAbJ4tEO3OKXeRVdE3/ISN7NMV2Mg4KYa8rnh4mv8DO0qO53zyRXaVRTLJ+xrXmlRzShOz7UfsX\nP5b9i1+T5tKiIJ2bXU9wQ8JBhhUFP1jGZIr7/jPukSzVOjLSJAJXlnT/78FX8XcxPGYPHFgSdKxp\n6RRCqmr4Ky1wDX4P27w7/WULxsOC8SiA2ZuzPboJNO1JfofbuOSDAzxomUsOUdxr+U5kyyn440ww\nbYvXwDei94ZJmSLV4K+TxXWc4rh0PYEkJfsUe/xJSsT/JrpoP7xl2JcU099CYJ9tWUS6A/t1XT+o\n67oL+BIYUsdtqsAVHZL4td/3JFz3Jusv/5HoO+bRLD6cH9WepGn1eCLutQrHpCy8tdK6yhI7+Fca\ntK90Hx/TLgoWVgsmQNpK//qxVPhgAOydD4Cp6DimF5tSnhMLXoM3O8GbnbB80J/4rN9pcWQOAIqr\nWPgul70oMg280w2ebyzENfwpcR3EkdVCtH/7b8LWvILy1vlCCH50Ja61H4gUULt/xDPnFr+49lJe\nXIMQiHq5GbQGvw03fC6sKeddI8o63wwPBEQvoiqNa1bk4v+w/9y7fKvDp69nh55MsmMWz7lv4EX3\n9SQ7Pufa+r/w8AOP0WfoHSxVO/qPf6+3T1xv1VJYpJ5Po5NLiM4RXZJjXQ+eXjOcL9Pe+QE9C1/k\nqfWK8LpdFtCpE5YgPgO7f6y8gp8eFlHbla8Jz/kbHfziuhKsb3Wk8ed9idr1Bax4Bf2lFJ+4DiTq\n+1sqr2BqL5hSH8thMRObKf+wb1PTkq00U9MqP27Zi/BMfAVxvSakl1g4sUX0AAX0EFnf6xncy3MK\nZsXcJXL+ngElesWfuzw9gonuW5nuuZJlqv87/LT75jM6x5dafx73+HuycnQhpnziOoBFahc6Oabx\nkvs6Fqud+TDp2aDtaVo9ejtfZ4PWiv7OVxjhfBKAjzwD/1Sb3vUM5vnCgXyU2w7u/eM8vqqusF5r\nVem2UpcQtF7R7Da80OCNYItBjv7c2H6B7fRohvjWCSkXrXapGlaLf1IatyoGOYZazdjMYkp17yBJ\nr8B2eoSYDbWafaLTa9GYn6ah6goxKyYT8fM4CvUwvkoXAs4rsKNDrUSFWn3rBWVuokItQrgaIrdZ\nfLiRmUMw0j2Rc5s24GetJ3O25vmmb48IsRBmM1PqUily+OuPCbXh8ogHgYIyN9FhVpJiwwixmNiX\nKTzKB7LEQ+I5iRHEhdvINc5d6HCTW+KiaVw4ESEWUhLC2ZKeT7YhqhMjQ3zvRZHDQ6HDTaTdQlSo\nlUKHB1XTyTIE9ty7xPfveL4Q81lGHS3rRRAdauVorig/mFVMcnw47RtHk1HoEO9D/DmsKa14v7Wq\nDp/Azyt1Ex1qJcJuocQp/gcjZ4j7ZvMEMelOapoQ3ntOiuvu2yqRTCOa7b3mFxtW/M31Uqz7uxH2\ntn+Yoc6nCQ+xkG0WnuYf1Z7c6XqA3s43eDV5Op6H9tClZ1/yiGKC+3aco37mOAmM6+sfoDw39nbe\naPwK+Qnn037k85TplVtBh971PDomCl1aUPko1+M8euxCuPGrKtsNsLvxMDFw2MiFDvjF9SVPQzP/\nQ/cRzW+82Nb/I7h2BhmR55FFLDEj3uVjyzD2RPeGG7/E0agnh7X6gBDEf8iz9URqxVPwrXoBK9Xz\nuNT50in3m6f6e9CXq+1Zp50LQIa1SdB+hUoVD06JbZjQfC4zVlSRmeQs4mwT2I2BwD7qdKPsrGNc\nv5Zc0aER3XpcSINGTWjTMJJ73PfRx/U6Xx6v79tvybXBXVMzbDf5lp9238wdtpdh3FqKkgei37pA\nDHi8ZgZ6hFHHyLlwTyruuMp/uAA88a0rlL3svi74vJ7LKdbt7Nca0Xpv5QMDflK7/9Fl+8gPa8Zh\nawuecAcPppjsHsUz7pvQ9NMc3Zu2Ett8vx3Csl+Mrv6360E+bDUVAE1X+LzBY3iGz4Thn1DSym+x\ncISJATCpF74vBp8BdL9DDHK5Y4mIenqzA7QdAg/thLFLOTl4Fq6optwQ/j7/dY/moNaAIwPe40Tf\nl1GfzOPfh/swYPOFPO++wSdQBrSpzy/3X4Sp9wP8ljiSLf+9lLl39fKl7Wr/yE/MOvcddmrNfO2b\nljiRJo+tY0eMPwXVtJBbePT+h33rUxOCo+KrVL/v+tv/jMGJjRyiWbYnS8xK132siNSPnAu3+Lsi\nvzNfCuH+gTCndeM0uDtcPLjZED/yv6hioIkSEOkF8cPws/E5WaZ24A6X/3/3u+b/HH6rXkBXx1Rm\neC6v9Hy7tD8WxgOdLzCmYCzF7W7igO1cX3ngDdrLZc4XfOfaYbz/b3iu5nn3DTzlvpmFUddUGCSU\nq0fwgvt6ujim+sre8Qxml9bEV88o1+Oc5/yIPs7/Md1zpU9Av+a5llnqAJ7zjGS0+wmGOf/Dq+5h\nzFQv8Z9gaMDMeneuqvI6l3SfwRMu8T3q7Xyd3s7XcTywl3W6+BysVM/jfpd4wM3RI3nQfRcv3NSH\nO598l5jbv+XW2+/la/UiADZrzXnIfRfpej2GuSZzUG/EOr0NyY5ZPOUZzRjXY0HnXqB2ZYzrUf7n\nHlahXdu1ZABW78+G2BRONBwQtH2z1hw90Z//uaVzJsNd/w36officKuE2cxBXmlPwCBHi5Gmz5vX\n2hyQRcQ7cBHAbjUHeLBVIbADI9iGRcQrxJ3GsRaTQrgRrXa4NRweDbvV7MuX7bVo/LrzZFB3+mbt\nHI7kCTFYYER3o8OsRNktvsGNhWUeokNFVNsruoscbrol+/M2A/RsHk/vFgkcyi6h2OEX2HarENhe\nT3ek3UJsmBDA+aVuCgwRajYptKgXwZ6T4jt5MKsEm8VE49hQEiJCfAL6iGHzSI4XgzHbNoziYFaJ\nTzQnRNiIMiw0hQ43RQ4PUXYrMT7R7SY9r5Qwm5m2DYXI8UbLTxrCtl5UCA2i7D7bxsHsEs5JjKBt\nI7H/74dyKXZ62FwW/J1L1Voy2vU4OSUuXB6NLUfziQ2zEWaz+Kax33JUWGMGdWhIq/oReFT/g9f9\nF7ekcWwoJ4ucONwquSUubBYTYc38AzNbOj4lSxf9hIOcz9LF+R4dHdO5xjmZS9d3YbPeggi7hdzE\nHlzufJ6Z6iXM17qTrify8JgRNIwO5d7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2Y8v+Nuw80IkF42rh83rQpyQkJVkQOfXQqDfQ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YYbTxyNCf1L49at233Q0Mm9CSzYcleUWJ76bHPyglqAHYlwCHdh9nEwPbaa3E+O15NZcjATNFj6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\nGYZhGIZhGMYi/w/aISxUAhonLgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analytic_signal = hilbert(shum)\n",
"amplitude_envelope = np.abs(analytic_signal)\n",
"instantaneous_phase = np.unwrap(np.angle(analytic_signal))\n",
"instantaneous_frequency = np.diff(instantaneous_phase) / (2.0*np.pi) * fs\n",
"\n",
"fig, (ax0, ax1) = subplots(2,1, figsize=(12,6), sharex=True)\n",
"ax0.plot(shum, label='signal')\n",
"ax0.plot(amplitude_envelope, label='envelope')\n",
"ax0.legend()\n",
"ax1.plot(instantaneous_frequency)\n",
"ylim(0, 2000);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"График мгновенной частоты сильно колеблется и лишь в районе звука концентрируется между 1000 и 1500 Гц. Любые шероховатости графика можно сгладить фильтром. Попробуем сгладить график мгновенной частоты, чтобы понять как она изменялась на этом промежутке."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AXkQiUBhjmPrrddzx3FYyC8oB2n0VbKCYPtQaBrvNpQO3tKK6Yajnb786qeUR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\nKkj9fw1vM5H5DC4qAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact(win=(11,1001,10), order=(1,3))\n",
"def smooth(win=301, order=1):\n",
" plot(savgol_filter(instantaneous_frequency, win, order))\n",
" vlines([2200, 3200], 0, 4000, color='r', linestyles=':')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Видно, что мгновенная частота в районе щелчка составляет примерно 1200. Поскольку при сглаживании мы все равно усредняли, то оценка частоты сигнала по спектру или спектрограмме более точная и удобная.\n",
"\n",
"Амплитудная составляющая - огибающая - после сглаживания может быть полезна для выделения отдельных звуков."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/aa1bAT953wOcD7Ty/owD3qyi/glCeODxlGBJKO9rcGvN552GEHnkICljb+KCKWJRCJVH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\nCIIgKCUWiSAIgqCUWCSCIAiCUv4FDDolqZg5VKoAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"og = savgol_filter(amplitude_envelope, 125, 2)\n",
"\n",
"plot(shum, label='сигнал')\n",
"plot(og, 'r', label='огибающая')\n",
"legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Повторим успех на всей записи.\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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x6mGn8OagkTXrTvFXkuKvZOyKL7n90+d5fugZeG2Qzrt2MCx3GcXJrdnZqg3r\nM7sAkOyvqklcerVrXWtfbOidHu4YYOvd2f0wTCs2fNuhZRt3VTE65yseP/5iPDbIfR8+zQf9j2Fh\nt0PoWbiF4RuW8ubAk2v2yYzyYobmLmN9Vlc6FeeTUV7M2qxubMzoRO+CLfTeuYn1GV3ILC8maAx+\nj5eTVy/gk4OG8Vmfofg9Xs77bhbp5cWUJLdmXVZXgsbU/P8v7nowxcmteOj9J+m7YyPvHHoS83oO\n5Nj1S9iWlkXbilJWt+/O+owujFk5lw6lBazo0Ju8tCz67thAekUJq9r35KD8XNpUlLKsUx/aVJSy\ns1VbWlVV0LGkgO1pmXiDAXzBQM0vWaZXFLOjdQZ5aVmk+CspTmnN4M0rSC8vIejxsKD7AA7fspIN\nGZ1Zn9mFc5Z+zPsHH8cxG5Ywq+9RPDP8XADOWzKr1g/OBDwegsaz56/x0LtzOpXWw+qC8pplAeMh\n6PFwcPdMqvDw/dYSzlz2Gavb9aDK68Xv8fHAyKupcK6z6LxrO39762HKklIw1tK2shSwbG3TnvxW\n6UB1cmWsJbOVj45pSezYsIWP+g7n8z5DKE1KpdfOLfzfV69z8Pb13H3KL5idfURN3K0ry7jjk39X\nX9uRlIzf46XSm4Tf46XK62NA7w4s2FSM3+PDF/TTqqqCzPJdjFw1nw/6H8Pn2UPwWEtpcirzeg4i\ntaqcthWlDN68km5F2wh6vBSlpHHdnFdZ0qU/vTq1xfp8BH1JBH0+rM/HN5urE+XilFb0LthMhS+Z\n1pXlvHbYKE5evYArF7zDrH7DKfOl0H/HOoyF/w0cQbkvhQdn/I2XBo8lLy2LVlUVzM4+gk8POhKA\n0Su/4ubZLzGr71F0LClgaee+tKoq59j1S6jy+pjV9yh6FG7jx2sWcsTmFTx+/EX4PV7GrJzLd537\nUen1MWrVfHoWbmXKEePYkNGFozYuZV1mV/rt2MCSLv34y0mXYo2H3gWbuGbem6T4q+jVvlWtX07d\n2/uywTqNzAtsgw9Ci/fdVrjVlVQFCewsJL91Ot90PZirFrzNoXlreero88hvlU47p9NqS9sOBI1h\nQ2YXTlqzEL/HS3p5CaXJqWzI6EJuRkd6FG5jSO4PFLROpygljdZV5Wxr047j137D9rRMvuw1mJz2\nPelcvIOLvp3BpvSOrM3qRpvKUoJUf9Z+37kvKzr0YsTqr5nw6XOsz+jMi0NOo11ZUc231Z2L81nV\nvgdVXh+gNp2MAAAWtElEQVTDN3zHhowulPuSaVNZxuDNK8hN78SXvQ+nc3E+Ez59jg/6H8PazK74\nvV52paTRrrSQNe2602vnFg7Ztpb5PQYQ8HjpUFKA3+uj0uMjraqcLW3a08pfwYWLP2Bz24581mcI\naVXlVHiTGLh1FWvadef7Tgdx1MbvWZ/ZhVXtezBg62oOyVvLpvSOlCSlsrNVOpW+JALGw7HrF9Oq\nqoIfOmYDcPoPnzOr33CSA1VsS2uHxwZJDvgpSW5FZvkuUqsqyG+dwWFbVtKjcBtrsrqRm9GJpICf\nKq+P7IJNZJXtqvlmuHNxPnlpWXzeZwidivPx2CAHb1+PsZZtbdrRrSiPYbnLeH3gyaxp1x1fMECr\nqgqyyoo4JG8t6zO7kpeWyaHb1gCwtU17VnboSZXXR3p5CZ2KC+jYNplWyT4C7dtz3OthflU6Bg7o\nBDyUm4ag7FZeFeCq5+bz5aodvHndcQzqnkGlP8jyrbsoLKuiyh/E5zUc2jWdHcWV/KhLW7YUltOx\nbQortxazs6yS3u3SuPzf8yirDPDLEX35yeBubCkq59kv1mAt/HbsjzjmwVkADOmVyU0j+/P5yu1M\nnl29Y/9w/zhSk7xsLSrnyY9W8uLc9TxwziAuObo3+SWVtE72kuz1sHB9AavzSnh4xnL+csHhjPhR\nJwCWbirkjYW5PPvFmlqv7ZbRBzM7Zzv3nz2IsY9/VlP+7o0ncMaTtceYtk728vltJ7N6ewmHdc/Y\n7x8dWfvQ6WHLb331G95YmAvA8j+OI8XnDVtvf1QFghSUVpKa5GX9jtJ6rwXgsZ8O5pap3zLp0iM5\nomcm89bmc8NLi2rVWfj7Uxh6/8y9rutXo/rzyxF9SU3y8sq89ZRVBRg7sAuBoKVnnWQ70YQbW/nN\n3aeQ2Tq5weXv/epEDu2azrw1+Vz4dP3pGJfdN47UJA93v7WU/8wNf7J9Qr8OvHDVcIor/aSnJhEM\nWg66c3q9evedNZBzhnSnbWoS1lr63FG7zs2j+3Pz6IP3+noW/f4UstKSqfAH2JBfSr8wwzOstfzj\nk1VcN6IvhWVVJPs8/LBlF+98u4kPlm4ld2f93vFVfzqNvmFihob39f3x8fJt5BaUcXy/Dpz8l0/C\n1nnjuuMY2iuLbUXVx5ugBY9hT8dCiKZcr/Dt3WPIaJ3U4HJ/IIjHWVdZVYCB9+z/BWV721avzFvP\nyEM6sWBdAddNWVhv+fI/jiMQtAy4u/56zxnSncd+ekSDr3vKz4/msB4ZtE7y4vN6mJ2znUueqX/d\nwO74wrUz+YphjDyk8z63bST2h0RS9/XeesrB3DSqf4PLoXobVPqDHPy79+ot+/DWk2rel3vblv++\n8iiOPag9SV4PBsIeM358cEduH3cIA7qlN9jekj+MoW1qUoPLn79qOCf064DXYzjsDzPYVV6/Zzr0\n/7ShmJf8YQytkrz0u6v+aw41785RdEpPrVfeULtv33A8h/fIbLC90OeFxjl+0hzmrq4/xn3h70+h\nXVpy2GPsJUf34p4zB5Ls2zOUJGdbMaMfrT2j0RPjj+CsI7o3GFM8tdQE3BVDUKTxNuSX1koad7+R\nGzpA1K1X13f3jmWQ86Hs1g+hvX0gLP7DGNJTG05QEl0gaJm+ZDM3vlx94jHp0iMZM7BLzfLdB+S+\nHdNYlVfCz47pxR/PPqxm+eyc7Xy/qYjBPTN5/MMVvHTNMTXL/IEgbyzK5fyhPfB4DIGgpSoQxBjC\nnmRtKSzn9Imf88sRfbnq+D4Njp0PBi3Lt+6iZ7vWtEmpP3Y4GoJBy6cr8jiqTzvKKgN0bFt9nUK4\nfeNP5xzGxUf3iti6qwJB+of5AH/pmqM5rm+HRrfzXW5hrRPR928+kUO6pDe4fzf1/bo7yeqe2Srs\nicv0m07ktImf7/fJ9tJNhWzaWc6Ur9bxyfK8sPHlbNtF345tap2AhHt9ax48LexJCsCf3/+BH3Vu\ny9iBXWiVXDu+DfmlVAaCvLUol3OH9iC7Q1qt5VPnr+f215fUa9Otx76G5JdU1uqYqPv6crbt4o2F\nucxYuoVVeSW1lgeDlodnLOfE/h2YvzafMwd3o2/HNjXLZ+dsJz01icN6ZAB7ev3D/X9Za/ls5XYu\nnzyvppMqnEDQUlzhx1pb07kQSdZaAkFLuT/I8i1FHNm7Xb064ZLi3WX72j825JfSOT2VJK9pcL8N\nt67+ndow89Yf11v+6AfL2VFSyQPnHFZvGcCa7SXMXb2Dc4Z0b3CbAixaX0Cn9FS6pqcm9LVOLTUB\n91F9EeYoIJfqizAvttY2OPeNEnB3aewBYm8f4o1tI1FFOkGRlqOhnr5IaujbgUitJ1r7d862XYx+\n9LN65bF+38Ti/2i3/y3K5eap9ce56lgh4RLw//vPAtbnl/Her06MyrpO7N+B/1x9dETbdqP9TcBj\n063TTNZavzHmBmAG4AUm7y35FveZe8cokrzNO7P95DcjSG/l3l5ikXiKR8/SPWcOaHYbWWF6Go/r\n277Z7TZXdvvoDQur2yMOsPKBU6O2PnG3py9tdE64X+bcMZJjH/yIf/7syKi039K5IgEHsNZOB8IP\nhBTX65LR8LCTxgr3oSQiTffE+CP2XakZrjy+T7PbSAszPCgReuMuPTY7am2HO1VKSoBp2OTA0jWj\nlb51aQa9Y0VEJKxEvdgpVHKYxNObAONEBztji6OhEcNz5QAVq+tVpPmUgIvr+RLgwzZaXvvFsfEO\nQRJQ1l5mDHGLWb+uf9FWUyTqRVn9OrXZd6Um6prRKmpti7vdckr1bE2Hdk2PcySyLzpVEte77uR+\n8Q4haoZl17/KXWTh70+JdwjNFjojRUsUjVkwdmuXFr22xd2uOC6b0go/VxyfHe9QZB+UgIvrndCv\n8VOkibQEjZkiTFquRBhiI4nJ6zHcGDJXuiQuDUER1xvep2X0Ekf7gjeR/XH/WQPjHUKT3OfSuEXk\nwKIEXCRBtJQTCWkZojmLRzRd5tK4ReTAogRcRERERCSGlICLJAgTdnZfERERaWmUgIskiMwWMLWc\niIiI7JsScBERERGRGFICLiIiIiISQ0rARRJES/5FT5GW7ri+7eO2bg1fE3EfJeAiCcLn1dtRxK26\nZKTGbd2nDuoat3WLSNPoE19ERKSZOrZNidu6f35in7itW0SaRgm4iIhIMw3omh63daf49FEu4jZ6\n14qIiDSTfslWRPaHEnAREZFm6tw2fmPARcR9lICLiIg0kyeOsxh5NYOSiOsoARcRkaj72TG94h1C\ni9UmxRfvEERkPykBFxGRqLv3J4PiHYKISMJQAi4iIlGnYRIiInsoARcREXExndyIuI8ScBGRBKd5\nnmVvUnzeeIcgIvtJR3URkQQ3e8LIeIcgIiIRpARcXGXSpUfGOwSRmOvQJn4/cy6JTyNQRNxHCbi4\nypiBXeIdgohIQjFGGbiI2ygBFxERERGJoWYl4MaYC4wxS40xQWPMsDrL7jDG5BhjlhtjxoaUj3PK\ncowxE0LK+xhjvnLKpxpjkp3yFOdxjrM8uzkxi4iIiIjEU3N7wL8DzgU+Cy00xgwAxgMDgXHAP4wx\nXmOMF/g7cCowALjIqQvwZ+Axa20/oAC42im/Gihwyh9z6omIiIiIuFKzEnBr7TJr7fIwi84CXrHW\nVlhr1wA5wHDnlmOtXW2trQReAc4y1QPYRgKvOc9/Hjg7pK3nnfuvAaOMBryJiIiIiEtFawx4d2BD\nyOONTllD5e2BndZaf53yWm05ywud+vUYY641xiwwxizIy8uL0EsREREREYkc374qGGM+BMJNPXGX\ntfatyIfUdNbaScAkgGHDhtk4hyMiIiIiUs8+E3Br7egmtJsL9Ax53MMpo4HyHUCmMcbn9HKH1t/d\n1kZjjA/IcOqLiIiIiLhOtIagvA2Md2Yw6QP0B+YB84H+zownyVRfqPm2tdYCHwPnO8+/HHgrpK3L\nnfvnAx859UVanLUPnR7vEOQAlqyfvBcRiYnmTkN4jjFmI3AsMM0YMwPAWrsUeBX4HngfuN5aG3B6\nt28AZgDLgFedugC3A7caY3KoHuP9rFP+LNDeKb8VqJm6UEREIucfFw+NdwgiIgeEfQ5B2Rtr7ZvA\nmw0sewB4IEz5dGB6mPLVVM+SUre8HLigOXGKiMi+nXxIp3iHICJyQND3jSIiAoDXoxleI6FtarP6\ntkTkAKAEXFztwmE94h2CiOynvh3T4h1CVOlERkT2RQm4uM7XvxvNTaP6A9AmJSnO0YhIY511RDcA\nLhreK86RiIjElxJwcZ32bVJI11e8Iq5z8+iDyW7fmrOHdN93ZRfLaKWOARHZOyXg4krnDu3B4B4Z\nXH1in3iHIiKN1KdDGp/89mQ6tEmJdyhRNahbRrxDEJEEp25EcaV2acm8dcMJ8Q4jqh45//B4hyAi\nTdA1IzXeIYhIglMPuEiCumBYz31XkgOOLvCrT7OOiIjbKAEXSTBd0lNJTdJbU8LT+OL6dEoiIm6j\nbgORBDN7wkistfEOQ0RERKJE3WwiCcbrMfi8emtKeFmt1QNeV1ZacrxDqGVQd12EKSJ7p095EREX\nuOK4bAB+epSuDajr7esT64Jsn1eDYkRk75SAi4i4wO6LLz1GyV1dGfpWQERcRgm4iIgL/PjgjgAM\ny24X50hERKS5dBGmiIgLnHRwR3IeOFXXB7jAkF5Z8Q5BRBKcjuQiIi6h5Nsdume2ivo6Hjz3sKiv\nQ0SiR0dzERERlxmvi3FFXE0JuIiIiMsYXYwr4mpKwEVEREREYkgJuIiISAT069Qm3iGIiEtoFhQR\nEZEI+PDWH8c7BBFxCfWAi4iIiIjEkBJwEREREZEY0hAUERERF5p40RA6tkmJdxgi0gRKwEVERFzo\nJ4O7xTsEEWkiJeAiIlLjJ4O70atd63iHISLSoikBFxGRGhMvGhLvEEREWrxmXYRpjHnEGPODMWax\nMeZNY0xmyLI7jDE5xpjlxpixIeXjnLIcY8yEkPI+xpivnPKpxphkpzzFeZzjLM9uTswiIiIiIvHU\n3FlQZgKDrLWHAyuAOwCMMQOA8cBAYBzwD2OM1xjjBf4OnAoMAC5y6gL8GXjMWtsPKACudsqvBgqc\n8seceiIiIiIirtSsBNxa+4G11u88nAv0cO6fBbxira2w1q4BcoDhzi3HWrvaWlsJvAKcZYwxwEjg\nNef5zwNnh7T1vHP/NWCUU19ERERExHUiOQ/4VcB7zv3uwIaQZRudsobK2wM7Q5L53eW12nKWFzr1\n6zHGXGuMWWCMWZCXl9fsFyQiIiIiEmn7vAjTGPMh0CXMorustW85de4C/MCUyIa3f6y1k4BJAMOG\nDbPxjEVEREREJJx9JuDW2tF7W26MuQI4Axhlrd2d9OYCPUOq9XDKaKB8B5BpjPE5vdyh9Xe3tdEY\n4wMynPoiIiI1Du+REe8QREQapVnTEBpjxgG3AT+21paGLHobeMkY8yjQDegPzAMM0N8Y04fqxHo8\ncLG11hpjPgbOp3pc+OXAWyFtXQ7McZZ/FJLoi4iIsPKBU/Ho8iARcYnmzgP+NyAFmOlcFznXWvsL\na+1SY8yrwPdUD0253lobADDG3ADMALzAZGvtUqet24FXjDF/BBYBzzrlzwL/McbkAPlUJ+0iIiI1\nkryRvKRJRCS6TEvtTB42bJhdsGBBvMMQERERkRbOGPO1tXZYY+ury0BEREREJIaUgIuIiIiIxJAS\ncBERERGRGFICLiIiIiISQy32IkxjTB6wLg6r7gBsj8N6Wwptv6bTtms6bbum07ZrHm2/ptO2azpt\nu6ZraNv1ttZ2bGwjLTYBjxdjzIL9uQpWatP2azptu6bTtms6bbvm0fZrOm27ptO2a7pIbTsNQRER\nERERiSEl4CIiIiIiMaQEPPImxTsAl9P2azptu6bTtms6bbvm0fZrOm27ptO2a7qIbDuNARcRERER\niSH1gIuIiIiIxJAScBERERGRGFIC3kTGmHHGmOXGmBxjzIQwy1OMMVOd5V8ZY7JjH2XiMcb0NMZ8\nbIz53hiz1BjzqzB1RhhjCo0x3zi3u+MRa6Iyxqw1xixxts2CMMuNMWais+8tNsYMjUecicYY86OQ\nfeobY0yRMebmOnW07zmMMZONMduMMd+FlLUzxsw0xqx0/mY18NzLnTorjTGXxy7qxNHA9nvEGPOD\n87580xiT2cBz9/oeb+ka2HZ/MMbkhrw3T2vguXv9bG7pGth2U0O221pjzDcNPPdA3+/C5idRO+5Z\na3XbzxvgBVYBBwHJwLfAgDp1rgOecu6PB6bGO+5EuAFdgaHO/bbAijDbbgTwbrxjTdQbsBbosJfl\npwHvAQY4Bvgq3jEn2s15D2+h+ocTQsu17+3ZFicBQ4HvQsoeBiY49ycAfw7zvHbAaudvlnM/K96v\nJ0G23xjA59z/c7jt5yzb63u8pd8a2HZ/AH6zj+ft87O5pd/Cbbs6y/8K3N3AsgN9vwubn0TruKce\n8KYZDuRYa1dbayuBV4Cz6tQ5C3jeuf8aMMoYY2IYY0Ky1m621i507u8ClgHd4xtVi3MW8IKtNhfI\nNMZ0jXdQCWYUsMpaG49fy3UFa+1nQH6d4tDj2vPA2WGeOhaYaa3Nt9YWADOBcVELNEGF237W2g+s\ntX7n4VygR8wDc4EG9r3GaMxnc4u2t23n5CAXAi/HNCiX2Et+EpXjnhLwpukObAh5vJH6SWRNHeeA\nWwi0j0l0LuEMyxkCfBVm8bHGmG+NMe8ZYwbGNLDEZ4EPjDFfG2OuDbO8MfvngW48DX8Iad9rWGdr\n7Wbn/hagc5g62v8a5yqqv6kKZ1/v8QPVDc7wnckNDAPQvrd3JwJbrbUrG1iu/c5RJz+JynFPCbjE\nhTGmDfA6cLO1tqjO4oVUDw0YDDwJ/C/W8SW4E6y1Q4FTgeuNMSfFOyA3McYkAz8B/htmsfa9RrLV\n37tqHtsmMMbcBfiBKQ1U0Xu8vn8CfYEjgM1UD6WQ/XMRe+/91n7H3vOTSB73lIA3TS7QM+RxD6cs\nbB1jjA/IAHbEJLoEZ4xJonrnnmKtfaPucmttkbW22Lk/HUgyxnSIcZgJy1qb6/zdBrxJ9deuoRqz\nfx7ITgUWWmu31l2gfW+ftu4ezuT83Ramjva/vTDGXAGcAVzifJjX04j3+AHHWrvVWhuw1gaBfxF+\nm2jfa4CTh5wLTG2ojva7BvOTqBz3lIA3zXygvzGmj9ObNh54u06dt4HdV8GeD3zU0MH2QOKMQXsW\nWGatfbSBOl12j5c3xgynej/VyQtgjEkzxrTdfZ/qi7q+q1PtbeAyU+0YoDDk6zPZSy+Q9r19Cj2u\nXQ68FabODGCMMSbLGSYwxik74BljxgG3AT+x1pY2UKcx7/EDTp3rWM4h/DZpzGfzgWo08IO1dmO4\nhdrv9pqfROe4F++rTt16o3qmiRVUX3F9l1N2H9UHVoBUqr/izgHmAQfFO+ZEuAEnUP31zWLgG+d2\nGvAL4BdOnRuApVRfwT4XOC7ecSfKjeqr+791bktD9r3Q7WeAvzv75hJgWLzjTpQbkEZ1Qp0RUqZ9\nL/y2epnqr/qrqB7PeDXV17HMAlYCHwLtnLrDgGdCnnuVc+zLAa6M92tJoO2XQ/U40d3Hvt0zZXUD\npjv3w77HD6RbA9vuP87xbDHVCVHXutvOeVzvs/lAuoXbdk75c7uPcyF1td/V3h4N5SdROe7pp+hF\nRERERGJIQ1BERERERGJICbiIiIiISAwpARcRERERiSEl4CIiIiIiMaQEXEREREQkhpSAi4iIiIjE\nkBJwEREREZEY+n8KBwfAUK72LAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def ogibai(y):\n",
" return savgol_filter(np.abs(hilbert(y)), 325, 2)\n",
"og=ogibai(y);\n",
"\n",
"fig, ax = subplots(1,1, figsize=(12,3), sharex=True)\n",
"x = arange(len(y))/fs\n",
"plot(x,y);\n",
"plot(x,og,'r');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Зададим порог вполовину от максимума, или меньше, и выделим все участки сигнала превышающие порог.\n",
"\n",
"Рассмотрим подробнее первый найденный участок с сигналом."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dXPWTXVz2o5f4S107bzf2cbzTxg3nTbw90XCFmfFNv2sbcFIax2hlCAwwWVOZ\ny98PTewHjVC5RI555NcwK5gFDtUgj2fAMbFSilC3kFg6XwghUpMExkKIc0JdywAXff9FLv3BTr74\n5H7eONnDjsMdfOT8OTH1LH7foiIAXjzaOal12FyBoC1qKUWwy0P7WeUUP9/VQE66gcWlFr7w23f4\n3P/tJc9s4NqVk2t/FlKQGXvGWFVVuqwjRzPH6v2LizjcNkhTryPua8erMQ4FxtEyuv1DEyulCD0v\nnv7SQojUIoGxEGLWU1WV/3i6DpNew+b1VfzxnWY+suUNiixGbt0QW6/RhcWZlGaZ2HF4coHxoDO2\nUopQX+Cm3jMb8BxuL6+e6OZDa8rZunktC4szcXl8PPTR1aQbErOXOt0Q6IgRy+jjwSEvbp+fghg3\n3g33/sWBHzQmkjUeGPJg0msw6Ue2W7MEv6aRSilcXh8Ot29CGeN4xk4LIVKTdKUQQsx6xztt7G/q\n5+6rF7N5QzVXryjlzYYerltZFg52olEUhfctKuL3e5pxenyjgrJY2WIMjOcWZABQ32XjomBv4j2n\n+vD6VdbX5lOQaeSZf7kIv1+d1KS7sQSm30XPGHcFB5CEsszxqMo3M78og78f6uC2i+IbhNBnd4/K\nFgNkpUcvpTgz9W5iNcYgGWMhZjPJGAshZr2/1rWjKHDlskBLtvMqc/jsxrmURum9e7b3LipkyOPj\n9fqeCa8ltPnOHKWUoiDTSKZJF95kB/DGyR60GoU1lTnh1xIdFIeeHUuNcSh4nkjGGAJZ47cae6PW\nBJ+tz+EJl00MF5pOOBjhfv3j9ECOReiHKKkxFmL2ksBYCDHr/eVgO6vmZFNoia97wtkurMkjJ13P\no682TPgeNpcXk16DPkpds6IozC3MGBEYv3myl2VlWVGD6smajowxwIbafHx+lX1N/XFd1+8YJ2Mc\nw+a7/lDGOC3+jHG6QYtRp5FSCiFmMQmMhRCzWlOvg4Otg3xgyeR7/Jr0Wj67cS67jnfzxSf3x1SH\nezar0xu1I0XI3IIMTnQFAuMht4/9zf1cUBO9g8ZkFcYYGHdbJxcYr5iTjUYJlIjEo8/hHtWRAgKB\nq1ajRKwxDrd6m0DGWFEUcs0GKaUQYhaTwFgIMav9Lbi5KxGBMcBtF1Vz24Zqntvfyo0/ex1rlJ65\nZ7O5vFHri0MWl1rosrpoGxhiz6k+PD6VdTW5E1l2XAoyjdhcXhzuyN0dumwu9FplzLKGWJiNOhYW\nW9gbZ2Bnx+XNAAAgAElEQVTcP04fYkVRsJh0sWWMJxAYQ6DOWAJjIWYvCYyFELPaXw+2s7A4c9Kj\nnEO0GoVvXr2Yx/55Lad7HTz+5um4rrc6PVFbtYWcXxUIgt9q6A3XF4dem0qFwel30bLGXVYX+RlG\nFGXidc5Lyywcbot9Ap6qqvQPecgZJ7DNStNHbNfWPxTKGMdfSgGBXsY9EhgLMWtJYCyEmLW6bS7e\nbuzlsgRli4dbV5PH2qpc/rCnOa7rbE5vzIHxohILmUYdLx/rZuexTlaUZ8V87WTEOuSjy+qacBlF\nyIJiCz12d8yT9qwuLz6/Om6NsCVNH6WUwoNOo2A2TKyrSE66IdxHWQgx+0hgLISYtXYc6kBV4fIp\nCIwBNq0o4XinjfouW/STg+IppdBqFDatKOEPe5upaxkMd9WYarEO+ei2uSbckSJkUXEmAEfbrTGd\n32+PXAqRlaaPXEox5CE7XT/hLHeu2UCvTQJjIWYrCYyFELPWXw+2Myc3jUUlmVNy/4vnFQCBNmqx\nsjq9ZMQYGAN85tJaMk065uSm8aHz5sS9xokIZ4yjjL8OlVJMxoJgYHykPbZyivGm3oVYTPrI7doc\n7gnXRAPkmQ1YXd5Ro7qFELODBMZCiFlp0Onh1RM9XL6keFI1sJFU5aVTkGnk7YbemK+xubxkxlEO\nUZln5tWvvpcd/+/S8ACLqZaTbkCnUSKWUvj8Kj1296RLKfIyjORnGDjWEVvGOBwYj9GVAgKlFAOR\naowdnnGD6ljkZoSm38W36VIIkRokMBZCzEovHunE7fNz+dKpKaOAQBeE86ty2HM6tq4Kqqpic8WX\nMYZAFtSom1hN7ERoNAr5GZFbtvU53Pj86qQDY4DqfDON3Y6Yzh0Yijy5zpKmi1pjPNGOFAC5Mv1O\niFlNAmMhxKz014PtFGQaWTUnJ/rJk7C4xEJT71B4ol0kTo8fn1+NuY9xMkWbftc9yeEew1Xnm2no\nscd0bmi4RqRSCrfXj9MzdqnDwJCHrAkM9wgJT7+TwFiIWSlqYKwoyqOKonQqilI3znFFUZQHFUU5\noSjKu4qirE78MoUQInZOj48Xj3Rx2eKiKRmZPNyCYgtATKUAoZ7H8WaMkyHakI/QscnWGANU5Zvp\nsrpi6gndF+xDbBnnaxiqHx6vzrjP4Z5UxjgvWErRY4+ti4YQIrXEkjHeBlwe4fgVwLzgP7cDP5v8\nsoQQYuL2nOpjyOPjvQsLp/xZC+PoqmANZpXjqTFOlmgZ465JTr0bribYY/pUT/Ryin6HG4tJh26c\nkdqWUGA8RpDt8vpwuH3j9kCORShTLWOhhZidov7XWVXVlxVFqYpwyrXAr1RVVYE3FEXJVhSlRFXV\ntgStUQhxrumph+5jE768bW8zl2nbWe9T4ejU1uaW+VWuMuxDPdIMWRURz9V023mf5hDVPYNwNHtK\n1zVZF3ha6B5qxXfYhVYzOghNb2zjfZpmittV6Jnc13ipzcH7NAexH+gHW+QBJmWdJ7nKaIOj/jGP\n1/QM8D7NMThqh76R3UiGhty8T7OfJbZuOHpiQmvN9qv8k3YP2U1tcLRsQveYVuVrwXzWGPGWPWDr\njH6tzghVl4A2SqjQ9BY4xunMkpYLFetiW6sQM4ASiGejnBQIjLerqrp0jGPbge+pqvpK8ON/AF9R\nVXX3GOfeTiCrTEVFxXmnTp2a1OKFELPUQ2uh+2iyVyFE6lv1Cbj2oTMfD/XD96uA6O/9ANz8BCyI\n8EvjwVa4f1Hke/zbIchKgR8ixKymKMoeVVXXRDtvWn+fp6rqFmALwJo1a2L8rhRCnHM8Dph/BWz8\nStyXWp1ePvrzN/jo2kpuXjs9fX+/9+cjNHTb+Z9PnBfxvNfqe/iv5w/zwEdWUluQMS1rm6jQWn98\n00rmFo5e631/O8rhdiu/+GTU95mY3LZtN0tKLXzxsvkRz/u3J/dhMem555olYx5v7hviM7/ewxcv\nW8B7FhSMOFbXOshX//Au37l2KasqJp6xv+PxvVTkpPO1KxdO+B7T4olPBL6XhvO6ABUu+jdYfO34\n1/adgt/dAp4omyI9Q4H/f89/wLz3jzx2Yge8cO+Zc4RIAYkIjFuA4e8+5cHXhBBiYlQV0vOgdFXc\nl75a184BfyfzVl4IpZF/LZ8oSlkaL5w8ibdoxbi1rwCtbc3UqS705edBXvq0rG2iTN4+6lQXp03z\nmVtaNOr4O14XQxbfhP4djcVV6OJlu48vRrnfbncf5xXnjPtck8VFndpHk2k+lFaNONba106dakM/\nZzWUZk14rT2ZTnp9JOxznzI6Y+B7aYTgx1lzIq9fH/z7Ge23yqHjOVWj79dTP/KZQqSARLRrexb4\nZLA7xQXAgNQXCyGS5Wi7FUWBpWUTD3ziVZWXjsen0jYQeVJcKnWlKMtOA6Clf+zPqdvqTkhHipDq\nfDMNXTailff12z3j9jCGQLs2gAHH6M13/cFOFZOZfAfBsdBjbL7rGHTy0AvHx20VJ4SY+WJp1/Yb\n4HVggaIozYqi/LOiKJ9RFOUzwVOeB04CJ4D/BT47ZasVQpwjVJhgl7WT3TZKs9Iw6advIEZFbmxd\nFWzOQFcKs3H61jZRBRlGDFoNzX1jf07dNhf5CehIEVKVZ2bQ6Q23YxuLx+fH6vJGnFxn0GlIN2jD\ng0CGCwXLk2nXBoHpd2MFxnc9Xcd9fzvGk7ubJnX/xFEYla0N/eARdRpkrN+AoftHOD+GvUxCzBSx\ndKW4OcpxFfhcwlYkhBCT0NBtp6bAPK3PrAyWRTT22LloXv6459lcXgw6zbROsZsojUahLCeN5r7R\n9aE+v0qvw02+eeKDMs4W+nfW0G0j1zx2CUx/MLAdbxx0SHaaPpwdHnH9kBudRiFjku3y8jOM9Drc\neHx+9MHSGVVVefNkoDPDqye6+eSFVZN6hhAiOWTynRBi5lFVJpIyVlWVk132cF/c6VJsMWHQaTjd\nGzljbHV5U6KHcUj5OIFxr92NqpLQjHF1fmCD38mu8Td79TsCWdpIpRQAWemGcBA9XJ/DQ1aaHiVq\ntjSysmwTqgrtw0pnmvuGGAz+RuB4h21S908YRRm/xjja91foaxRrjfFYX9Pwa5IxFqlDAmMhxKzR\nZXNhc3mpmeaODxqNQkVuOqeijDW2Or1kpkB9cUhZdhotYwTGoalveebEBcZzctLQaxVOdkcIjINZ\n4OwoNcJZaboxJ9/1T3LqXUh5TuA3BMN/aKhrGQBg44ICGnvsUmcsRIqSwFgIMQOpMdRAjhbKNlZP\nc8YYAkFkLJvvMk2TD8ymS3lOGt0216ggr9sayNzmZySulEKn1VCRm87JrvGzraFpc5FqjAGy0wz0\nD42uAe6ze6JeG4vQxsTh9dcHWwfRahQ2LS/FrwbKapIvwvdQwmqMY7iH1BiLFCKBsRBi1ggFxtNd\nYwxQmm2itT9yv9ZUyxiPlRmFwMY7gLwEdqUAqCnIiFhK0RcspciNEpBnp+vHKaVwRy3DiEVJtgmA\nlmH/vo92WKnON4dHhDdE+Dym1zib7yZ6fdzHhUgtEhgLIWao+DNWDd02jDoNpVlpU7CeyEqz0ui2\nuSP+Cj2QMU6lwHh0ZhTOBMYFiQ6M882c6nHg848dbPXaA8FubrQa4zT9mF0p+h0echJQSmHUaSnL\nTqN+WPB7vMPK/KKM8G8rIpWETJuIWeEYa4wn86xJ1nILkQwSGAshZp4J/ur1ZJed6nwzGs30vyGX\nBn+9HqmcYnDIG+6zmwrGzxi70WsVLGmJDfJrCsy4ff4x65oBeu0uTHoNaYbIXT2y0vW4vP5RP6T0\nD7nJSVAnjcWlFg62BuqKnR4fp3odzCvMxGzUUWQx0jATAmOIsPluotfHeXwizxQiiSQwFkLMGslo\n1RYS+vV6W4RyilSrMS7MNGLUaUZtKuyxucgzGyfd3eFsoU2T9d1j1xn32j0xbfjLTgsEv8PLKZwe\nH06PPyGb7wCWlWXR0G3H5vJyotOGqsL8okAZRXW+eYYExpOpMU7gs4RIIRIYCyFmoPg333l8fk73\nOpKy8Q6GT4obOzD2+VXsbl9KlVJoNArV+eZRdb/dNhd5Cdx4FxJqszdenXGfwx21hzGcGeAxvJwi\nVJ+ciM13ACvnZKOqsLuxl2MdVgDmFwUC++r8jBkSGENya4xl851IPanzX2ghhIjgdK8Dr1+lJn96\nW7WFFGcFMsat44xQDk29S6XAGALZz6Pt1hGvdQy6KLIktr4YAqOWLSbduJ0peu3umALb0MjnUN9j\nCHSkgOit3mJ1flUuBq2GV0904/WrmPQaqoKBfU2+mV67O9geLvE/QMQs2TXGQqQgyRgLIWaeCQz4\nCHUBqE5SKYVRpyU/wzhuZ4pBZyAwS6UaYwjU/Z7udeDx+cOvdQw6KZ6CDY6KolBTMH62tc/hJjeG\nGuFwYDwsYxzrcJBYpRm0nFeZw67j3ew51ceK8uzwFLxQOc+M2ICXzBpjGfAhUpAExkKIWeFksC61\nNkkZYwhMRGsdGDswtqZoxrgmPwOvXw1P9XN5ffTY3RRbTFPzvILRpRshsWaMxy6liG2cdDzev7iI\nI+1W3m0e4JL5BeHXQ+U8M6dlmxAiVhIYCyFmoPhrjBu67eSZDWQlaHPVRJRmp42bMbYGM8aptPkO\nzmTgQ8Fq52CgVVtJ1tQExrUFGbQPOrG7vCNe9/j8WJ3euDLGA8M234UGfiSqxhjgxjXlgb9zaXo+\ndF55+PU5ueloNcoMqDMe43so0gjnMa+NtcZ4rPtJjbFIPamVuhBCiHHUB1u1JVNpdho7j3ahquqo\njg2pmjEOZeADdb9FtA8GaqiLpigwDm3Aa+i2s7QsK/x6aOpdLIFxhlGHVqOMmH4X6lCRlaAaYwiU\nxez88kbcXv+IYSf64BS/5AfGQoh4ScZYCDHzTKTGOImt2kJKskwMeXxjDpewukIZ49QKjLPS9eSZ\nDeGMcahP81RljKvHqc/tdcQeGCuKQvZZQz66rC4yjTpM+sg9kOOVadKPOQGwOt9MfYTx1tMi2Zvv\npMZYpCAJjIUQKc/q9NBldVGdxPpiiNyyLZQxtiQwYzldagsyOBEM8jqCgXHRFNUYV+WZURRGdabo\nscUeGEMgoA91ooBAi7n8zMR30hhPdb6Zxh47/nGm+E2bGTHgQ4jUIYGxEGIGiq/GOJTNTHbGONSy\nrX2M6XepWkoBgSlvh1oH8flVGnvsZKXpsUzR52HSB8Ytn70Br9Ma+JoWxhjcFmQY6QqOroZAYJzo\nEdaR1BSYcXr84dKT5JjMgI94269JjbGYHSQwFkKkvFAtZ23SSynGHws96PRg0Gkw6hL7q/zpsLQs\niyGPj5NdNhq6A7XciZ56N1xNQUa4y0hIR3DTX2GMmeqCTCPd1jOBcZfVRX7m9PUUrh5WK51cyRzw\nIUTqkcBYCDHzxFljfLLLhkYJdANIpoJMI1qNQscYWUKr0ztlWdaptiy4Ca6udYCTXVNfy12Tb6ah\ny446LIjrHHSRbtCSYYzta1iQaaTLOjxj7CZ/OjPGoU2LyQyMI34LSY2xEGORwFgIkfLqu+zMyU1P\nejZWq1EozDSOmTEeGPKk3HCPkNoCMya9hn8c7qR90MnC4swpfV5NgRm720fnsMC20+qMuYwCID/D\niNXlZcjtw+UNbIiczsC4yGIk3aClvjPJG/CkxliIuEhgLISYgeJ7sz3eaWVe4dQGa7EqzjKNWWPc\n73CTE+PGsZlGp9VwflUu299tA+C8ytwpfV4o2zq8q0On1UVhZuwb/gqCQXS3zRXeuFcwjZvvFEVh\nflEmR9oHp+2ZY6wiwqHpqDEOkuBZpBAJjIUQM1OMv8r1+Pw0dNuZV5TcjhQhxRYTbWNMv+u1e8hJ\n4vCRyboxOMAiw6hjeXlWlLMnp+asoSIQqBEusMQe2IaC4E6rK5x5ns7NdwCLSgKbFtWkBobJrDGe\nujp0IaZKaha8CSFmtzjevE/1OPD4VOYVzpDAOMvES8dGD/nod7hZWmpJ4som55oVpdhdPhaWZKLX\nTm1OpdhiIk2vDQfGfr9KS98Qly0uivkeoSC4y+rEG2yZVpaTlvjFRrC41MJv3jpN64Az3MpvWiW7\nj3GYZIxF6pDAWAgxQ8X2xnyswwrA3BkSGJdkmXC4fVhd3hE1xb321C2lgEBpwEfXVUzLszQahap8\nMw3BzhTtg07cPn9cmytDgWhz31A4MC6f7sC4JFDec7h1MDmBMUy+jGEyNcZT2LlEiKkipRRCiJS2\nr6kfg1bD/KKZUmMcCICG1xkHNoD5yU7hUorpVlNgDnd0ONXjAKAyL/bAODs90Gu5scdOc5+D7HQ9\nmdO8+XFBsQVFgUNtyaozniE1xkKkEAmMhRAzUOwDPvac6mNZeVbCR/1OVGhU8vDOFOFxxumpmzGe\nbrX5Zpp6Hbi8Ppp6g4Fxbuxt4hRFoTrfzKkeB6d6HNOeLYZAPXZlbjqHkxYYw4yoMZbNdyKFSGAs\nhEhZdpeXA80DrKnMSfZSwoqDAyg6hgXGffZAYJwtgXHMagoy8KtwusdBY48drUahNDu+MdSVeYGx\nzEfarUn7jcKiEkvyMsYzpsZYiNQhgbEQYuZRIZZfze443IHb5+e9CwunfEmxKrKMzhj3hTLGKVxj\nPN3CnSm67RxuG2RuQQa6ODf9zS/KoKl3iC6ri8Ulydn4uLjEwqkeBzaXN+ZrBhwetrxcz6HWZGaa\nE0AGfIgUJIGxECIlqarKb946TZHFyPlVU9tXNx4GnYb8DCPtg2datvU5PAAp3a5tuoVGKh9ps1LX\nOsiSCXT0uLA2P/znZP0dWRQMyI/EkTX++lMH+K/nj/ChR17jVM9kJucp4w/4iLXGOObNd5IxFrOD\nBMZCiBkoco2x3eXlnucO8cbJXj67cS4azcx6Uy7JMtHSfyZj3B3soysZ49hlmvSsmJPNT144TpfV\nxdrq+APbVXOyuWZFKVctL5ny3svjWRwM6GOtM+61u3m+ro2rV5SiURS++ocDSe6DPBmh4Dq5qxAi\nHtKuTQiRMlRV5Ym3m7jvb8fotrm4dUMVn7igMtnLGqUyL513mwfCH3dYnei1igTGcfrgqjL2N/UD\n8P44ehiHaDQKD968KtHLiktJlomsND2H2qwxnf/GyR5UFTavr+LCmjy+/tQBtr7ayG0XVU9wBcnc\nfCdE6okpMFYU5XLgAUAL/FxV1e+ddXwz8AOgJfjSQ6qq/jyB6xRCnEvGefP+xSsN3Punw6ypzGHL\nJ89jdcXM2XQ3XE1BBs8faMPl9WHUaekcDIwzVmSDUlxuXltBQ7edVRXZ5E3z1LpEURSFRSWZMW/A\ne72+B7NBy/LyLFbNyeaFIx1850+HAOIPjifz900GfIhzVNRSCkVRtMBPgSuAxcDNiqIsHuPUJ1RV\nXRn8R4JiIcQkjXyjbe0f4r//cpTLFhfx5KcvnLFBMUBtgTncUQGgY9BJURzjjEWAQafh7muWcO3K\nsmQvZVIWl2RxtH0Qnz96gHigZYClZVnotRo0GoWHPrqajfML+N5fjtBtc8X/8PFqjCd8fRy3kx8E\nRQqKpcZ4LXBCVdWTqqq6gd8C107tsoQQ57bR77a/fK0Rv6ryzasXz7ia4rOFNo7VB0cad1pdFGfF\n12pMzB6LSjJxevw0dEfeSOfzqxxtt4brkgFMei1fu3IRbq+fP73bFueTZ8iAj5StkRbnolgC4zKg\nadjHzcHXznaDoijvKorye0VR5ox1I0VRblcUZbeiKLu7uromsFwhxDlj2Bu336/y7P5WLplfQHlO\n7NPPkqWmIDCe+kSnFb9fpaVviJKsJI0EFkkX6wa8Uz12hjy+cCeLkPlFmVTnm9l1vHsCT58BAz6E\nSCGJ6krxHFClqupy4O/AL8c6SVXVLaqqrlFVdU1BQUGCHi2EmHXOevOuax2gbcDJpuUlSVpQfDKM\nOmoKzOxr6qfD6mTI4wtnkcW5Z25hBjqNErXOOHR8rJ7L51XmsPd0X3wdKmbMgA/JGIvUEUtg3AIM\nzwCXc2aTHQCqqvaoqhoqfvo5cF5ilieEEIGd+gAXzc2PcubMsboih72n+zkZLKeokcD4nGXUaZlb\nmBE1Y3y4bRCdRmFuYcaoY6srcui1uzkVrFuP2ZTXGEc4LgljkYJiCYzfBuYpilKtKIoB+Ajw7PAT\nFEUZnsa5BjicuCUKIc49I99s3zjZS02BmUJL6tTprqkMBDK/39MMwILi5IwkFjPDivJs9pzqw+nx\njXvO4TYrtQUZmPTaUcdCfZjrWgdGHRuf1BgLEa+ogbGqql7gX4C/Egh4n1RV9aCiKN9WFOWa4Gl3\nKopyUFGU/cCdwOapWrAQ4hwRfOP2+vy83dDLBTV5SV5QfP5pcRFajcJT77RQk29O2XZjIjGuXlGK\n1enld8EflMZyrMPK/HF+gJpXlIFeq1DXEu+Y6MnWGMd5/xEkZSxST0w1xqqqPq+q6nxVVWtVVf3P\n4GvfVFX12eCfv6aq6hJVVVeoqvoeVVWPTOWihRCz3LA370Ntg1hdXtZNYPJZMuVnGLku2GYs1duN\niclbX5vH+to8vv3cQV4+NnrzudPjo6V/iNqCsUtujDot84syORhPxnhaa4wjHZSMsUgdMhJaCDFD\nBd5p3zzZC5ByGWOA79+wjGc+t4F/ee/cZC9FJJlGo/Czj59HbUEGX/zdflzekSUVjT12VJWImzSX\nlmZxsHUwdUZESx9jkYIkMBZCzGjvNPUxJzeNohSqLw7RaTWsmJONdob3XRbTIytNz1euWEiX1cVL\nR0dmjUObNGsLRm+8C1lSZqHX7qZtwBnjE5XxN9/FWmMc8+Y7+TsuZgcJjIUQM5AafuM+0DLAsrKs\nJK9HiMTYUJuP2aBl51nlFKHhH5EyxktKA98HB1vjrTNOlhiDayFmEAmMhRAzVr/DTVPvEEslMBaz\nhEGnYcPcfHYdHxkY13fZKLaYMBt14167qCQTjQJ1LSPrjFVV5XDbIA63d+QFisL4m+9irTGOccCH\nlE2IWUICYyHEzBN88w7twJeMsZhN1lbn0tQ7RKf1TEnEyS571CEw6QYdNQUZozbgPfLSSa54YBcf\n/p/X8flnYnZ2Jq5JiLFJYCyEmKGUcACwtFQCYzF7rKrIAWDvqX4gkPE92WWjZpyOFMMtLbWMKqV4\n7PXGYCZ5kD8daBt2JHqNscvr4+GdJ/in+1/i2p++yqke+1mnT6LGWLLIIgVJYCyEmIECb7aH2wYp\nyTKRYzYkeT1CJM7SMgsGrYZ3TvcB0GN3M+j0UhNh413IktIs2gac9NgCw2bbB5y0Djj5+pWLKM9J\n4w8R+iSfzenxccujb/HffzlKrtlAQ5eNT/1yN26vf2Kf2HikxlikEAmMhRAzk6JwuM3KohJLslci\nREIZdVqWlFl453QgYxzaeBdLxjg0AOR4pw2AvcHgek1VLlctL+HVE93YXcFa47EytsMyvA/+4zhv\nnOzl/g+v4MlPX8iPblrJ8U4bf9zbnKAaY8kYi9QjgbEQYuZRVbx+lRNdNhZLYCxmoWVlWRxqG8Tv\nD5RRANTmR88Yzy0MnFMfvGbvqT6MOg2LSyxsqM3H61fDwXIkHr+fx14/xablJXxwdTkA711YyOIS\nC1tfbUxwklcyxiJ1SGAshJiR+hwefH5VMsZiVlpamoXN5aWxx86JThsGnYaynLSo15VYTKTptZwI\nZozfaepnWVkWBp2G1ZU5aDUKbzX0nrlgnBrjQ62BiZI3nFcePqIoCh9dV8HRDisN3bZxrj/7dhGO\nS42xSEESGAshZiCV7mAN5aKSzCSvRYjEC7UgPNAyQH2XnZp8c0yDYDQahdpCMyc6bbi9fg60DLCq\nIhuADKOOJaWW8LTISKUMJzrt6LUK62tHTpR836JCAF4+3hPnZxRh7VJjLFKIBMZCiBmp2+YmTa+l\nMi963aUQqWZeUQYGnYa6lgFOdNqoLYxeRhEytyCDk112DrYO4Pb6WR3scgFwYU0e7zT1je5pfJbG\nHjsLiy0YddoRr5dkpVGTb+btxujlGNFJxlikHgmMhRAzj6rSZXWzsCRTximLWUmv1bCoOJM3TvbS\n1OdgfmHsvxmpLcigpX+IV090A7C6clhgXJuHx6eyu7Ev4oCPxt4hlpeP3QZxXU0ee4MbAxMz4EMy\nxiJ1SGAshJhxVKDb7pb6YjGrLSnL4kDLAKoK5w0LbqMJbcB7cnczZdlpFFlM4WNrq3PRaRRere+O\neI8ht2/cwPiCmlxsrsgZ55hIjbFIQRIYCyFmIBWX1y+BsZjVLqw5U98bqhOORajs4nSvg3XVuSOO\npRt0rKrI5qWjXYE87Tib71RgWdnYz1xXnXcmxxvHgI+trzZw+Y9f5otP7qfP7h7jHCFmPgmMhRAz\njxp4414uo6DFLHb50mI+uKqMe69bitmoi/m6qmF195cuKBh1/JqVZRxpt0bM+uq1GuYXjV3XXJxl\noiI3Peb1AOw+1cc9zx1Coyg8t7+Vj//iTZyJHhQixDSQwFgIMQOpaBWFhdKRQsxieq2G+29ayccv\nqIzrOoNOw08/uppbN1RxxdKSUcevX1WGxaSjpd/JeDXGc3LT0WnHDwHOqwxks/1qtOA2cL8tuxpY\nVGLh6c9t4JFPrOZw2yA/21k/4hwhUoEExkKIGUcF8jIMo3bMCyECrlpewreuXoJBN/ptPMOo45MX\nVtFjdzPk8Y045gvGqFVRur2srQ7UPHdaXTGtx+b08MMPrcCg0/DehUV86QMLeL0+3pZvQiSfoiap\n9mdNZqa6+7zzkvJsIcTMpQJK4yv0GYrJKZ2b7OUIkZI8Pj+Opv0YtWCasyr8utM+gKnrAAOWeWTl\nFo17vcvjwdjyJoNp5ViKqsZ/jr0PfddBWtPmUVp05n4q0NTaToX7BI7cRaRb8sa9hxDTQXnppT2q\nqq6Jdp5kjIUQM4ozmOEyRPg1rxAiMr1Wg06j4PWpIwoZhtyB7y+TPvJvY4zB7z9XlDrhHltgk11+\nhndk2acAABTWSURBVGHE6wqEJ/m19A3hlnpjkSJir/ZPtAULYOfOpD1eCDEz/eGNU3z8L8vxnH8b\nXHV3spcjRMqy//RyTnf0wG1/ZE1VoHvF7/7vSW4/9v+hu/mHsOAD41/stsN/lfJr5Wq+8I2H0IzR\nT7zL6uIr//0Av9T+J4ZbfwaV60cc1556HbZezvf8t3Mi83ye+uwGcs2GUfcRYlrE2D5QUjJCiBnl\nrYbAONusNH2SVyJEass1G1CAv9S1h1870m4FQBtjkDDk9nGs0zrmsYdeOI4/hkTwVy5fSNuAky/8\n9h38ftmIJ2Y2CYyFEDOG1+dn1/EuABRF/vMkxGToNBosJh0vHOkEYMDhoaHbFjgYNTBWwv/75sne\nEUf67G5+/cYpfv3mad6zIH/E+SNvEXhtflEGd1+9hF3Hu3lyd9MEPxshpkfySimEEOIse0710edw\ngyn6uUKI6LLS9JzssHOyy8bxTlvcszYsaXper+/hlvVVABxoHuAjW17H7vaxuMTCR9Ya4GSUm6gq\nN6+dw9P7WvjeX45w2ZLiSZdUOD0+trx8kvouGzX5GXxk7ZwREwCFmChJyQghZoznD7Sd2XQn42SF\nmBxFISs9UJL0j8Od/PlAGxnhQSJRvr+C33+1BWZePNpJv8ON0+Pj357cR4ZJxzOf28Cf7ryI9NAm\nvjG/X5Vht1O497ql2Jxevvv84Ul9Wg63l9u2vc39fz/G7sY+fvyPY1z8/Rd5YMdxPD7Z5CcmRzLG\nQogZweby8oe9LVy1tAiOJns1QswORq3CwuJM/uflkwwMufniolw4Efv1qyuycTX4+ckLJ1BVONFp\n41e3rWXFnNA46VhS0IFz5hdl8qmLa3jkpXquW1XGhrn59Dvc7G8eoDI3nar8yL2VAXpsLj71q93s\nb+rnRzet4PpV5ZzucXDf347yox3HeGZ/C2urcnF7/cwryuSS+fksKrbQ53DzfF07e0/14fT4WFOV\ny03nzxn2g8LYvD4/z9e102d3U1NgpiI3nTS9FkuaPmpnD5GaJDAWQswI215twOby8sn1VcHAWDLG\nQiTCHRtr+cJv92E2aLl+VXlcgXFhppGPrqvgF680ALB5fRWXzB89hnpMY2SR73zfXP52sJ3btr3N\nklIL+5sH8AU35JXnpFGdb2ZpWRbrqnPZMDcfvVaDy+tjT2MfO4918dz+Vnrtbh7+2GouD079q8hL\n58GbV3H1ilIeeameHYc70WsV/vhOC9//C2Sn67G7vHh8KsUWEwadhj/XtfOTF47z8XWVfHJ9JYWZ\nJlRVpdfuxqDToNdqONg6yLe3H2J/U/+Yn9rKOdnccmEVVy4rGXPQikhNEhgLIZLumX0tPPiPE1yx\ntJhV4UyUEGJyFFBVrl1ZxpzcdHLTDRQNHQwfinotgKryjasWk282YDbquO2i6pGnhYuWI9xwWFI5\n3aDjyc9cyPf+fITjHVZuv6SGDbX51HfZeKuxl1M9dv735ZP8bGc9Oel6ynPSOdpuxe3zo9cqnF+V\ny08/tprVFTmjHvP+xUW8f/GZISOdg05ePt7N2w295GYYuG5lGQuKA2Pm3zndx8M76/npzhNsefkk\nK+dkU99lo8fuHnHPnHQ9D3xkJRfW5nGiw0ZL/xAur59Oq4vt77byr0/s494/HeZj6yr42AUVFGZO\nrs7Z6fExMOTBqNOQlaZHkZKyaSeBsUgaVVVpG3ByoGWAupYBDrYOAlCRm87a6lw2Ligg3XDu/RX1\n+1WOd9p4q6GHtxr7sDk9VOdn8E+LC7mwJm9W/IeybWAIry+Qnfm/N0/zxO4mzq/K4T+vX5bspQkx\nK4UDyQk0hUgzaPl/ly1I2FryM4zc96EVI167aF5+eIPfkNvHqye6ee7dQHb4lvWVrK3OY31tHuYo\npQ/DFVpM3HheOTeeVz7q2KqKHP73k2to6Laz9dUGDrcNcsn8ApaXZ+Hy+nF6fFTnm9k4vzBcp312\n0Puv75vHrhPd/PK1Rh584TgP7zzBlctKuD5YJqKPYUiRqqrsa+rn2f2t/PlAO+2DzvCxTJOOlXOy\nWTUnmyVlWaycky0bDKdBTH/DFEW5HHgA0AI/V1X1e2cdNwK/As4DeoCbVFVtTOxSU4+qqnRZXfQ6\n3NhdXmwuH0NuL8VZadQWmMk0nXt9Wpt6Hew63s2u41283dhLd3BqkkaBeYWZ6LQKr9f3sO21RtL0\nWi5bUsS1K0u5aG5B1F9Vub1+/v/27j42jjo94Pj3mZl9f/Fb7MSJQxLnlQTKwVGgXHpBcA30JaVX\nWpVTdSB0J65q0dFKnK7qH9cTVFdOlVq1oroW6VDb07WopdDk2txxtLkXQEdLCA4hIRAnEGLn1Y4d\nr73r3Z2ZX/+YibGT2N7Y3vViPx/pJ49nfrv7jB/P/p6d/e3svg8HePnIOV450sfx83nyJY9s3GF1\nS4qfX9PML3S2cPPqpnkruD3fYAmXFbfGGI6eG2FnVy/P7+uld7AAwNJsjNZMjFeP9vPMq++ztjXF\n7966ivtu6hh7sp4PF/+3+4ZL5EbLQLBv+ZJHoezRkoqysjlJR1Niwr5+0DfCk98/zA8OfnRdVUvg\nS5/u5LG7NwYDiecGGxbACwCl5pUIl80BruQM79htufz2lzGX9J9wJxXex0SJqM1nNi/lM5sn/8rq\nubJmSYrH771uRre1LGHbhla2bWjlg74R/ulnx/m3N06ws+skzakov3L9Mr64tfOKc6dzo2X+o+sk\n333tOIdP54jaFts2tvL5latoSEQouj7dZ4fpOjHIUz/q5uLlnz+5qontm5dy06omlmXjxCM28YhF\nImLjzPLbQgslj1MXCpQ8H9czJKI2jYkIDYlIxfftev6s45hv01YHImIDfwv8EtADvC4iu4wxh8Z1\n+wIwYIxZJyL3A98EfqcaAc9GoeTx3L4ekhGbVMwmEXVIx2wak1GWpGJkE84Vz8aVPZ9C2WO07DFa\n8nF9H0sESwSR4OBwPZ/BfJmegQLvncmxv2eQt3uH6BsuThrPsmyca9szrGtLk45FSMVsSuH9DIyU\nGMiXGcyXGBotUyh7xB2bRNQm7tg4tuD5Bjdsnu/j+8GleZpSERqTUVpSUZrD1piMYoyh5PqUPJ+S\n65MveeRLLiPF8GfJo1j28XyfcngUxh2bWMQiE3fIxiOkojapmEM65pAKW8yxxuZkRWxBRMIXAi4X\n8mVODOQ5cmaYV7r7eL9vBID2hjif3tDKDR2NXLeigc3tWRJRe+zv/cbxAXZ2nWT3gVPs7DpJQyLC\nXZva2Lw8y4alGTpbU7ieYbBQZt/xAV7p7uO1Y/3kSx62Jdy4spEdP7ecZNTmQqHMe2dyY2/POZZw\nw8pGNi7L0JSMkIw6YT7BtmTsb9eUCn6mYw7nhoscOzfMoVM53jk1xHtncgwVypRcH8sSWtMxsokI\nyahNMhr8byUiFkMFl3PDRfqHi5wfKTE06pKM2rRlYrSkY7SElyw6fDrHh+fzWAJb17fy6F3rua2z\nhZXNQWFZKHnsPnCK77x2nMf/8xDf2P0Om9ozNKdiuJ5P0fUpuh6jZR9LIBuP0JqJsWV5lo3Lsqxr\nS5OM2sH/imdwfZ+RosdgocSFQpnBfJkLhTJD4fJgoTS2Ljfqki+5+CaYq2dbwtmhIsNFd9pjbkVj\ngjs3tbFhWYauDwf53lsniVjCl+9cR0f4IZbb17bQko5d9fGslFL1YvWSFF/bsZmv/vJGfvLuOXbt\nP8lzb/Twr3t7+IM71vF7d3QyWvb570Nn2H3gFC8f6aPk+Wxuz/KNz17Pr93QTnaSk2X5ksu7p3O8\n2t3Hfx04zZ9///AV+zmWkIjYJGM2S7NxljckaG+MsywbJxMPaox0zCEesRkte/QOFjjen+d4/wiH\nT+foGShMun+ZmENDMkJjOGZGbGGkGNRFw0WXkWJQS5Q8n3TMYVlDnOWNCTqaEixviNOQiJCJR0jH\nHG5f11LX7wZXEtktQLcx5hiAiDwL3AuML4zvBb4eLj8HPCUiYszVXjGxuvoHBti361uTbrctIRax\nsAgK3rJnKHv+2AcDKiUCWxribG9L0rExQTYRIRaxiIfF40C+xJmhImeGRuk5W6D/WJE+76PHiNhC\nKurQFrNJRh2SMZtI0qLs+ZQ9n1LBxzeMFXKWJcG3GNmQH/bIn/cYKbr0llx6Kgw96ljEHIu4bWGH\nxT4Gyr7B9XwGyh5nvZmnM+pYfK41xcZPZtm0LENbJoZI8EUODIbt4v4DtwG3rYUnVvu8eyZH14lB\nDh/OcXC/y8Er3P/6TIxfXZNh49IMa9vSJCJDEzusg6Lr8X7fCN1nh+k+O0z/WyVOldyruq6nCHRm\nYmxtSJBqcXBswfcNuVGXQtmjlPMnvPhoidhcH3dIZxzSSxySUYfRssfQaDl4Ism5+D7cmomxcW2a\n61c00pDIAceCl6E9weMmgPscuG8r9Azk6ToxSM9ggcKAh2MJjiVEbAsnIRgTvAgc+LDE0UMljla+\ne0RsIRm1aY46JKM2qahDPBm8OALIlzx835BpdmjNxGgIP5kt4R8n7lg4tjA86nImV+Td0zne25dj\nn+uTiNr82ZoG7tnSTjYxLuGXBuh7F//aVxG5UupyAiN9sP/Zj1b1hwdchV/wwan9E29/qTNvT+w/\n4S7Cdcd+DPn+CuL9+IsB24HtW2CoMzgr/Oaen/D1V2zKblBPrEpG2LGhkU+sbGRV8xAivVNeiScJ\n3Ajc2AKP3AGD+TKnhgoMFcpBneKGtUFYI4yW/eCER2+ZgSMlDruTX8Iu4ggbUjF+sSFO+8o4LelY\nUFeENdBI0SVf9sgXgzFupOhSygc1SNSxiEYsYsmgfog5NhHHIl90uVAoM3C+zMCJEkcvOYmy5Y8e\nI9m6ZJKI5l8lhfEKJs5K6gFunayPMcYVkQtAC9A3vpOIPAw8DHDNNdfMMOSZa48W+Kvo5IUx8NE7\nPobgOJ/pi5p82E5evqkDmDCT0g7beN64+5ipq32n3Q/blVwpxqvVH7YrVbaTcIAtYQNgsmvCF4Hj\nYZtEDNgUtjEzmY0wGrZKeBX2HQXOAQem79oRtorM5Br6HlAI2yysB7ZCcLX0i3GcoPI5jqmW2QWg\n1GKXaoXul+CFL12+LTnN8WXZEG+EQzuDNiWBZPMVHqM52PazpyqNeEHJAg8AD1x8/rtYT7jA+2Gb\ngcawVWT88+9kLj7fn56m30xd8vhl+/er9EBzo6bnso0xTwNPA9x88801P5tsZ9vhy2/W+mGVUldL\nbGis/YtnpRaUX/8b2PaVy9dHUpCZZv6uZcOj+6Fwfup+ANE0pNsuX9/cCY8dgVKusnjVohBpWD7f\nIUypksK4F1g57veOcN2V+vSIiAM0EJwbrC+2ExyoSiml1EJnR2Y35iUagzYb6VagwuseK1UHKvno\n4OvAehFZIyJR4H5g1yV9dgEPhsu/Beypt/nFSimllFJKTWXaM8bhnOFHgBcJZpk+Y4w5KCKPA3uN\nMbuAbwPfEZFu4DxB8ayUUkoppdTHRkVzjI0xu4Hdl6z72rjlUeC35zY0pZRSSimlaufjfRVmpZRS\nSiml5ogWxkoppZRSSgEyX5+Rk+DbHaa46uyisYRLrves6obmpr5pfuqX5qZ+aW7ql+amulYZY6a9\nRMq8FcYqICJ7jTE3z3cc6nKam/qm+alfmpv6pbmpX5qb+qBTKZRSSimllEILY6WUUkoppQAtjOvB\n0/MdgJqU5qa+aX7ql+amfmlu6pfmpg7oHGOllFJKKaXQM8ZKKaWUUkoBWhgrpZRSSikFaGFcNSKy\nUkR+JCKHROSgiDx6hT5fEZGusL0tIp6INIfb7hGRd0WkW0T+uPZ7sHDNQW4+EJED4ba9td+DhavC\n3DSIyPdEZH/Y56Fx2x4UkSNhe7C20S9sc5Abb9wxtau20S98FeanSUReEJG3ROT/ROS6cdt0zKmS\nOciNjjm1ZIzRVoUGtAM3hcsZ4D1g8xT9dwB7wmUbOAp0AlFg/1S31Va73IS/fwAsme/9WIitktwA\nfwJ8M1xuBc6Hx0kzcCz82RQuN833Pi2UNpvchL8Pz/c+LORWYX7+AvjTcHkT8D/hso45dZqb8Hcd\nc2rY9IxxlRhjThlj9oXLOeAdYMUUN/kc8C/h8i1AtzHmmDGmBDwL3FvNeBeTWeZGVVGFuTFARkQE\nSBMUXy5wN/CSMea8MWYAeAm4p2bBL3CzzI2qsgrzsxnYE/Y5DKwWkaXomFNVs8yNqjEtjGtARFYD\nNwL/O8n2JMEA/u/hqhXAiXFdepi6cFMzNIPcQDD4/1BE3hCRh6sd42I1RW6eAq4FTgIHgEeNMT56\n3NTMDHIDEBeRvSLymoj8Rq1iXYymyM9+4DfDPrcAq4AO9NipmRnkBnTMqSlnvgNY6EQkTVBU/aEx\nZmiSbjuAV40x52sXmZpFbrYaY3pFpA14SUQOG2N+Wu14F5NpcnM30AXcCawlyMHLNQ5x0ZpJbsJ+\nq8LjphPYIyIHjDFHaxr8IjBNfp4E/lpEugheuLwJeDUOcdGaRW50zKkhPWNcRSISITgIvmuMeX6K\nrvcz8a36XmDluN87wnVqjswiNxhjesOfZ4EXCN6GVHOkgtw8BDxvAt3A+wRz8vS4qbJZ5Gb8cXMM\n+DHBWTM1h6bLjzFmyBjzkDHmE8ADBPPAj6HHTtXNIjc65tSYFsZVEs6x+zbwjjHmL6fo1wBsA3aO\nW/06sF5E1ohIlKA4009xz5HZ5EZEUiKSubgMbAferm7Ei0eFufkQuCvsvxTYSDCAvAhsDz/d3USQ\nmxerH/XiMJvchDmJheuXAJ8CDlU/6sWjkvyISGM4pgB8EfhpeOZSx5wqmk1udMypPZ1KUT2fAj4P\nHAjfGoHgE9vXABhj/i5c91ngh8aYkYs3NMa4IvIIwaBuA88YYw7WLPKFb8a5AZYCLwTPczjAPxtj\nflCTqBeHSnLzBPAPInIAEOCrxpg+ABF5gmCQB3hcpyfNqRnnRkRuB/5eRHyCEzJPGmO0MJ5bleTn\nWuAfRcQAB4EvhNt0zKmuGecGHXNqTr8SWimllFJKKXQqhVJKKaWUUoAWxkoppZRSSgFaGCullFJK\nKQVoYayUUkoppRSghbFSSimllFKAFsZKKaWUUkoBWhgrpZRSSikFwP8DWilraUjXBMIAAAAASUVO\nRK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"porog=1000\n",
"bb = og>porog\n",
"i1 = argmax(bb)\n",
"\n",
"k=3 #множитель для наглядности\n",
"figsize(12,3);\n",
"ii = slice(i1-5000, i1+8000)\n",
"plot(x[ii], k*og[ii]/max(og), label='огибающая');\n",
"plot(x[ii], bb[ii], label='индикатор');\n",
"axhline(k*porog/max(og), color='r', label='порог');\n",
"legend();\n",
"# ylim(0,2);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"С помощью критерия мы получили квазисигнал, который равен 1 там, где исходный сигнал выше порога и 0, где - ниже.\n",
"\n",
"Можно воспринимать этот квазисигнал как индикатор двух состояний: есть сигнал / нет сигнала.\n",
"\n",
"Возможны три варианта перехода между состояниями (в скобах разница между соседними точками):\n",
"1. состояние не изменилось (0).\n",
"2. появился сигнал (+1).\n",
"3. исчез сигнал (-1).\n",
"\n",
"В околопороговых зонах бывают краевые эффекты - неустойчивые колебания состояния при переключении - в электротехнике называется *[дребезг](https://ru.wikipedia.org/wiki/Дребезг_контактов)*.\n",
"\n",
"Найдем точки смены состояний."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([123314, 127922, 128348, 200430, 204541, 204868, 387855, 390900,\n",
" 391334, 423404, 424122, 425678, 426238, 426990, 427489, 456173,\n",
" 456992, 459171, 459913, 487345, 488010, 490090, 490981, 533790,\n",
" 534388, 536487, 537083, 572172, 572927, 574798, 575429, 575980,\n",
" 759737], dtype=int64),\n",
" array([127802, 128137, 128496, 204410, 204766, 205205, 390557, 391253,\n",
" 391727, 424038, 425651, 426001, 426533, 427155, 427573, 456923,\n",
" 458980, 459761, 460054, 487903, 490039, 490566, 491083, 534310,\n",
" 536365, 536988, 537147, 572858, 574705, 575171, 575583, 576086,\n",
" 759916], dtype=int64))"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iiab = find(diff(bb.astype(int))==1)+1\n",
"iiad = find(diff(bb.astype(int))==-1)+1\n",
"#число точек смены состояний должно совпасть!\n",
"iiab, iiad"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Если между окончанием одного сигнала и началом следующего очень маленький промежуток (например, 0.2 с), то их объединяем. "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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24YuSfGBa9khVPWf6mb0iG1jHJY95tcN43JP9GIOr9rExquqKJL+S5Me6+z+X2req6rxp\n/mlZjMHP7LJeq34mG2OfnsvL9X1pkr858c/LhvmBJP/U3V87/cF4nNHJV9RtypTFlZGfyuI/pded\n7f58PUxJnpfFWyIfT3J0mq5K8kdJ7prab0lyYGmb1001/GSWPtFgVX2zuAr4Y1lcEPGnSR5/to97\nDXV8WhZXOf9jkntOHH8W56ndluS+JH+d5MKpvZL8wVSru5IcWnqsn5lqdX+Sn15qP5TFH45PJ/n9\nTN8WuWlTkidk8SrOtyy1GY87q907s3ib9H+zOL/vlfsxBlft41ydVtTx/izOnzzxe/LEpxX8xPSc\nP5rkziQ/utt6ne5nci5OK+q49udykm+a7t8/LX/a2a7F3HWc2t+e5OdPWtd4nGnydcwAAAxrU0+T\nAACAbQnDAAAMSxgGAGBYwjAAAMMShgEAGJYwDADAsIRhAACG9X8J0+aWnERWdgAAAABJRU5ErkJg\ngg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"isi = iiad[1:]-iiab[:-1]\n",
"hist(isi, 40);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Найдем индексы всех точек смены состояния, находящихся близко друг к другу, и удалим их."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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i1rxJ4ola++QYNi+I5J2mRAwyo33Br6YgIslLgbUktFQ6qaRS7bskH3+UHzke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\nEYmA/weI1VDkVWEL2gAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ii_drebezg = find(isi < fs//5)\n",
"iiab = delete(iiab ,ii_drebezg+1)\n",
"iiad = delete(iiad ,ii_drebezg)\n",
"\n",
"plot(og, label='огибающая');\n",
"vlines(iiab, 0, 20000, color='r', label='начало')\n",
"vlines(iiad, 0, 20000, color='m', label='конец')\n",
"legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"После определения положения всех обособленных звуков можно анализировать каждый из них индивидуально и сравнивать между собой."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HxDFVpo0n3RQ2flALZf2S9CbSAXvXaPKPUtIbgBMiohzE2xCi9Bi55REx0JPMjidpabX9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\nzMzMzEr+Px0D0W7qfRbdAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dd = (iiad-iiab)/fs * 1000\n",
"isi = diff(iiab+dd)/fs #между центрами звуков\n",
"#этой конструкцией мы делим сигнал на фрагменты по всем найденным индексам и считаем максимум в каждом втором\n",
"a = [max(_x) for i,_x in enumerate(split(og, sort(hstack([iiab,iiad])))) if i%2]\n",
"\n",
"figsize(12,3);\n",
"subplot(131)\n",
"bar(arange(len(dd)), dd); title('Длительность звуков, мс');\n",
"subplot(132)\n",
"bar(arange(len(isi)), isi); title('Интервал между звуками, с');\n",
"subplot(133)\n",
"bar(arange(len(a)), a); title('Громкость, у.е.');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Можно отобрать интересующие нас звуки для анализа, оформить результаты в виде готового набора данных и т.д."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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5a/Opb7fw1AUJRxyj9VsqKiooLCxEqirBojeh8Z7LuIsnAWCrqqL0hhtoeOcd\nap57jrLbbqfw3FnsHzacvKlTCSqtpKW2hsFhIVitVrZu3drdbuRwPzz89OxcVYocNxucNshdgUJS\ncHXs1WTVZbG3fm93+baN5eBwYpwUyuZFn6L3NNFuc6AP0nPVqnZKIs7FIuuoitazYq9rD7vQ0FA0\nGg35GWuho44HCkcx+82t7K9upVw7CI0S/PM+hx8fITDSA4VSoiLXteBBrVQzLmgcG8s38sC6B6hs\nr+S1Ka9hrlDg5qnB6KPrVf9dMvASggxBvL7zdWq6atnjUYlBVhNs9CN7d/aRZ9D2kiRJJJwVgkZK\nRG2BXenr+9yGIAh/PJHICYLw26p2w/vToKkErvkaRl5HYV07H24p4rKkUIaFmX67jV/YvHkzCmSk\nlhqMmouIS4lAo1PhaGuj7LbbcXZ2ErlkMTEbNxCxcAFBL7yAzx13oh8xBlNaNmqliorMHQwdOpQd\nO3Z0n/ygUEgMnxZGbXErVV3R4BHS/Xh1dsxs3FRu3aNyjnYrHduqcBvuT2VVLmX79jD03Iswm820\nlu8htsqX8tBpxI4NZMKYYHJr2smvbUelUuEdGMr+okrynUFU+YxFrZT4Jr2c8vJyQsIjUYy/D9I/\nQL3xGdc8uUN73OFavVrbWUt6TTrPjH+GkQEjqSpoJijas9ebJ2uUGu4YdgfZDdlcs/waDoQ4cLbV\nMFgdSkNDA5WVlb/dSA8GjQpAbYjEoVCyY+2yE2pDEIQ/lkjkBEE4vvzVrpE4SQE3rYCYaQA8tzwH\nrUrJozMH96m5uro6cnJyUNVXUelvQiV5MWxSBLLVSvl992EpKcf3gVdp22ChcVE5LascdGT5Y60a\nDupZeJ7zX2IsRnK3bSZl3FjsdvsRo3KxKUHoDGp2ri53HdmVvwYsbRitXcz2HcFPhcupX3gp7a88\njWxz4D7Bh81ffILR1w/P6EEAJK7dy/6EK5FUEmMvjmbmkCAAPt9eyqPf7GJHQQ0duFE9+Hq+vWsC\n02IDWLaz9PBGwNOfhuSbYMtrhAR2UFfahrXr8Dw5b503dw+/m/Ojzqe9yUx7o4Wg6L4lwxdEX0CY\nMYy6rjqmnXc3zrZKwpvcUSqV7N59YmemavQqBo8ORaUeRNu+ImxWsXpVEE53vZ+ZLAjCn4PT4Vqo\nUJ8H9blQn8vQ4mxo+gIMfuAeAO7+rq+6A7DibxAQD1d/BR6uSfzrDtSydn8tfzs3Fn9j7x4HHrJh\n3TpwOulFvxjTAAAgAElEQVRyVhMiX4d/pBGfEAOVf3scW40bHrPn0ZXtRB1kR2nSog4yoNCpkPQq\nFDoVrSsLiTaOIqdrJY15+0lMTGTHjh2MGzcOo9GIWqNkyOQQ0pcX0zT2Arwcb8G8IWBu5mqVikVh\nwfzU1MmUrunolRso+fBJqgsMnHPH/VTV1CAh49kRRKl7HAFDJAyeWgzAiHATH24pQqWQ+CQgm1VN\nkWgGjEeSJC5LCmXnvlxkrUxYWBhIEkx7EtI/IkSTTbocS2V+MwOG+uKr92XN5WtQKVwfv1UFrvlz\nQTG/PT/ul9QKNf+b8j9qO2sZ4zWcog+eRtuVxKDhg8jOzmbGjBkolb3flPmQhLNCyF6fgNyeQ156\nKvEpk48q43TI/PTOHjx89Yy7KApFH07wEAShf4lEThD+vyhYCyv/CQ15YDcfft3NF43CCMWbXWem\nOn41ChNzNlz+EWhd54KWNnTyzLJ9RPoauHF8ZJ9CaG5uZu++faib69gdJjGtxJuh44Op/veXOMzj\n0CV6ognzxDgt/KiTDw5xdFhxrpPxL91O9rpVTL/3L+zevZstW7Ywc+ZMABInh7JzZSlZe72ZMvQK\nQIbgEQwIHsHEnE+IKJmCpNfhceFols1bj5fOQnykB6t/TsWttYWc2Msw+evxHni4n+6dGsPSrEru\nG+dD5Cc3kKa9g4LSCkaPh0mD/RigN4OTw6dS6E0QOITAjlUoVHFU5LoSOaA7iQNXIqfSKPAJde9T\nXwLEeMUQ4+Xa8kXpIQESCWGDyNmfQ2FhIQMHDuxzm/4RRvQhIVjydOxY98NRiZwsy1SmybQU1wHQ\nUN7GjFuGoDMcf+NhQRBODpHICcL/B3YLLL3PNVI06hbwGwy+g1xfbt5krF/P5MmTQZbB3AIdddBe\n46oXOQmUKsw2B+9sKOTN9fkoFRLvXZeMRtW3kZifly1Flp0UGwsZw7WEGVS4r8jDYQ9BoWvA99ah\nx0zgDjGOD6F9YxlDtSNYk7MelcPGsGHDSE9PJyUlBQ8PD/RGDbHjgsjZWsnof83H4Kntrn9HhgOv\nTiic3kJLm5YGs54pg+v42/JrUNVfQXCnDrvanwlXDqKobk93vamxAUyNDYDN88BpISZmELvzirDb\n7ahVKuI9bLQ06ehyKnE7VCliPKqMTwgc8A8qc5voSXVBCwGRHih/56iWNtofRyeEq/zQ6/Xs3r37\nqETOVlNL0xeL8L31VhRubj22I0kSIyZFsbk4jobsXZg72tEZDieZO1eW0lIMoy+IxGDSsuHzA3z7\nUgbn3ZWIKaDnNgVBOHnEeLgg/H+Q+Sm0lMH58+Ccf8HI6yB8LLj9at8ySXKNJPkOhAETXPPhlCrW\n7a9lxryNzFudy9nxAax5eBLjY3z7FEJLUxP78wtQdjZxINJCSGUww9XgqK/A2fQTIc+e95tJHIDS\nqMEwKggf/yR0CgPZ69cwceJEnE4nGzdu7C43fFoYTofMnvWHD4G3lrfhlS6x3Wcvb3d+wtavF6IL\n9uPBOA2bNb6oZQ1WzSBCgiUiEnyOvrjDDmkfQOREoockYbVaXXvKyTIacxO1TgNLsn6x0CAiBexd\nBAeaqSttw9J15JYeVrOd+vL2Ps+P64l+5GBkhw3rgSoSEhLIycnBZjtyA+S6efNoeOtt6t96+7ht\nDU2JAF0MOJ3k7zi8V1/R7npSFxfgEQ7JswYQPz6Y2Q+OwNxh45sX0ynbd+xj0ARBODlEIicIf3bW\nTtj4HwhPgehpfapa1tjJrZ+mc+PHaaiVEgtvGcP8q0cS5KnvcxjfL/gUGUjz28N10l2M0qmQLe04\nqpcR8vLfkdS9fzRnnBiKpFAyTD+cvSt/xMtkIjk5mYyMDOrr6wEwBbgRNcyP7A0VWM12ZJuTxq9y\nUbirsabocKaX0lJTzbLgbAKNwTyV8BQAktOH0W6fQt5q1wjlL+WucCXEo28jMjISSZIoKCigqakJ\ni7kLjYcfX2ccThwJTwEgVJeDLENVXvMRzdUUtyI7ZQJ7sX/cbzGMHIGzvRpraRODBw/GbrdTWlra\n/b61vIKWZctQuLvT8PHHWAoLj9mWVq9CE+8BCg+y1q8EoKGinVUf7MU/3EjIaKl7hW1wjInLH0vG\nYNKybP4udq8rP6HtTwRBODEikROEP7u091yPSac94Rpx66X04kbOnreBzXn1/HVmLD/dP7HPo3CH\nVBbmU1xbj93RhD1Sz6j8IPQKsOx8j5BXnkfp3rf5YSofPfqhvoT5jMLcYaY8J5uJEyeiUqlYu3Zt\nd7n4CT601/3IJ395kC1/exd7bSdrcz+j8n/fkHzAi1pvC5edczsLZy3E2SaBLOHfWkMwW2DhpYxK\nuwfSPwJbl6vBHe+CZxgMOhedTkdoaCj5+fmUlZUBkDJsEDlVreytdC1gwN0PfAcR0LUWpUrRvZ/c\nIdUFLSBBYNTvT+TUwcHI1kacbTIREREoFAoKf5GsNX74ASgURHz6CQq9nupnnj1uwpU8JQalJo6a\nA/tpKK9h+Zu7UeuUnHtHIgrVkX+PPHz1XPpoEhFDfNj0ZS47lhX97vsRBKF3RCInCH9m5lbXnK7o\naa7HfL1U12bhroWZBHroWPPwJO6cHN3n+XCH2MxmvvnwfVAqSQ3K4umWv+IjQ33hFvzvnYs2KuqE\n2jVOCUep1DLIfRi7Fn+Du7s7KSkp7Nu3j/LycpqqKljz/tM4bDnoO72JUMXT5NlI1HkpTL3pDkbe\nfC23PfUGtyTegkqhIj+nBJXdQEJgKzywBy5+B6dCAz88AK/Ew49/gaINrm1FlK7pxTExMVRVVZGb\nm4tGo+GSlHg0SgXf/HJULiIFVfkWAiKNR5y7ClCV34xPsAGtvn+mK6u8lCC5oXIqCAsLo6CgAABb\nbS3N33yL6aKL0MXH4/fA/XRu20brjz8es63koQl0mvxAlln4+N9pqU5lyjXhuHtpeyyv0ak4946h\nRI/wY9eaMuxWR7/ckyAIxycSOUH4M9v2JnQ1wdTHe13F4ZS5/4udtHTZePOaJIJNfX+MeojT4WDZ\nq/+mSVbQpmxgpvd0AvOVlJst+IY24HnJJSfctibYHW20B4M8RlGUvQeruYuUlBTc3Nz4YcliFv7j\nYcztbZx/1xOM9pmGTa0k4eHzSbn8akaccz5TZlxJdIBr3zi73UFDUy1uHTJhyRGg0sKwq8hIegVu\nWA7h42DHe6DUuuYXHhQdHQ3A3r17CQkJwdtdx9kJASzJqsRqd7oKRYwHSwshwTbqytqwdLrmrTmd\nMtVFrf0yP+4QbaRrxLQrp5zo6Giqq6vp6Oig8ZNPkO12fG69BQCvK69El5BA7b9fxNHe0WNbCoUC\naRio3M7BbgVr+zq+e/4evn3hSRpy92Ezm3uoI5EwKQSbxUFJdkO/3ZcgCMcmEjlB+LPqbITUNyD2\nfAgZ2etq81blsrWggecuGkJ8sMcJX16WZX54+xVy8/KR1RoqTTVclTOFVruThuoMQp55stcnGRyL\ncWoEGrU7YYYE9i1bjFarJSbQj+q6ehS+gVz93Mv41XigV0hsb7RSUdjSYzuZ6/NwSnaCK3JxGz7s\n8BuS5Fr0MedzuC8TblkFhsOPl4ODg9HpXPvohYWFAXBZUiiNHVbW7q91FTo4EhqiPwAyVB48d7Wh\noh2b2dEv8+MO0Y90rVLt2plP1MGRzvzsbJoXfYHHrFlowsNdt6VUEvjkP7HX11M/f/4x2xuWEkmn\nRwADL7qFG15+k9EXXUZjRRnFa37krdvmsmHBh9gsRyZ0IQNN6I1q8tJr+u2+BEE4NpHICcKf1ZbX\nwNLWp9G4tftrmL8unyuTw7g8OazPl3TKTrLrs3kr6y0efv5S8jZuoDHEhFVl4YmO23Ba7OzodJB0\nx3SURmOf2/81bZQn6iAdcR6j2bN8CWs/fofC5d+hkUAOisa8qILOjBrczwrB7q1j46JcHDbnkTE7\nZTI27gMgvKEQbUxMzxfzjoKgYUe8pFAouhOmQ/vHnRXji79Re/jxqmcomMIJ6Fznmid38Liu6kMb\nAfdjIuc2Mh7ZbsFa3NCdZO5fuw5nZyc+t916RFl9YiKmyy6j8bPPMB/I7bG98ZFj+Trp36zz/xqf\n0HAmXHUdt/zvfQbNvoqBo8eRvuw7Pn30Xsr2Hd6mRaFUEDPSn5I9DVjN9h7bFQSh/4hEThD+jNpq\nYPs7MPRy8I/rVZWyxk4e/HIX8UEePD07oc+XlGWZG1fcyJzlc1j9w6eE7Laiix+Im8KXFG0iHs1a\nsppacXfrInByUp/b74kkSXhMj8Sg8UKrCGPnT8tImXY5k71HU9fSwIGuMryvjsU0K5KJVw6iuaaT\nrDWlR7RRkFlLa2cjklMmaEAEkqJvH4tDhw5Fr9d3j8iplAouGRnKugO11LUd3Fw5Yjyq8k0ERnl0\nL3ioKmjB4KnB6NO3kzGOR6HVgLMFe7MDhULBgLBwSpqbMEybhm7QoKPK+z30IEqjkepnn+lx4YOn\n1pO7RtzFqpJVrChaAYCkUGAMDuXcex7m8ieeR5Zlvnr6b6x+/00snZ0AxCQHYLc5Kd5d32/3JghC\nz0QiJwh/RpteBocVJj/Wq+I2p8zdn2filGXemjsSnbrvRzsVtRaRWZPJPfKV3Fx2HrNibifUNgxk\nGNjlT0PhesoVRoZd0T9J3CG6OB8kTwVDPcZwjufZhBdFEt5gwt/dh0x9MZp4LyRJImKID1Ej/Ehf\nXkxrg2sVquyUyfipGAwdmJqbcB8+vM/Xj4uL469//St6/eG5hJclheJwyizJqnC9EJECnfWEhDqp\nL2/H3GGjqqCZwGjT7368/GtKDwkUHjjNZoLq6+jU61FcPafHsiovL/wefoiu9Axaly7tscwNCTcw\n1Hcoz21/jvquIxOz8CGJXP/SfJLOm82u1T/xySN3U5SVQVC0JwaTlrz02n69N0EQjvabiZwkSQpJ\nkkZIknSeJElTJUny/yMCEwThBDWXQcZHMGIu+ET3qsrnOVZ2l7fw8uXDiPAxnNBlUytS+W/+Q5y3\nfxKJXpPw8PYlV11BqM2J/P1fOKD0QmdQEj2yfz9CJIWE6exojLoAPE3DsFem4nOlP+dcPIuWlhbS\n0tK6y064fCBIsPmrPACK99RTX9GOXdmGd2Mj+mHDjnWZPonxd2dEuImv0w/uqRYxHoAQt1yQIS+t\nhvZGS78+Vj1EE+GNQudJ+9Z0jD/8AECF6tirYk2XXopuWCI1L/0HR2vrUe+rFCqeG/8cXbYunkk9\neuROrdMx+bpbmfPMf1DrdHz3wpNs/XoBMUn+lO5t6F7cIQjCyXHMRE6SpGhJkt4F8oF/A3OAu4DV\nkiRtkyTpRkmSxIieIJxutrzq+nPSo70qvnB7CevK7Nw+KYoZCYEnfNncfXtJsMeQ15rNxoZy1mYs\npUO2EXVgH9oLr6DeFE/8hBCUJ7iNyfG4jQjANDsa70t9seYtoeyWGwix2YiKimLjxo2YD66wNHrr\nGHVeJEW76ineXU/6TyW4+crYnHa8GpvQJSb2W0yXJYVyoKaNzNJm1/w69wACujagVCvIXFkCQFBM\n/ydy+mGuOXv1by5AX1aOp96tez+5rpwGGr86gPMXJ0xICgWBf/87joYGWles6LHNKFMU9428j3Vl\n6/ih8IceywQPiuXaF//HoLETSFv6LWGxepwOmcIs8XhVEE6m432iPgcsAKJlWT5HluW5sixfJsty\nInAh4Alc+0cEKQhCH+StgkHnuCbZ/4bvMst5fHE2iX5K/jJj8Alf0uawEZHhWrzQWFuG5LBRFh6I\nwqGhZND9ZBqmI8sQPyH4hK9xPJJSwn1cMIYxQ4hYsABJrabkuuuZEBZGV1cXqamHj5kaNi0Mr0A3\nVn20j9riVoKGaQAI0OlQeXn1W0wXDQ/By03N62vzXKtfI1JQlm0mMMqT9kYLKq0S39C+bYTcG7qY\nAACcHRL64cOJiY+jqKiI2oV7afhkH52ZtbSuLjmyTmIiKn9/Oram9tQkAHPj5jLCfwQv7HiBZntz\nj2VUajXjLpuDw26npnAbHr468sXqVUE4qY6ZyMmyPEeW5Y1yDzNgZVmulWX5VVmWPzm54QmC0Cet\nldBc0n001PEs313FI1/vIiXah3uGa1H9jkPbs+qyGNoVTqu1iak3nsW5r1yIVddE7MAhBIR7Ul/W\nzoBEXzz9Tv6h6tqoSAYsXIDSZML68CMM9Pdn27ZtdHW55sUpVQomzRmMtcuOwVOD5N6FwuEgsIfF\nAL+HQavitonRrD9QR2Zpk+vxams5oeGuOXEBAzxQ/I4+PxaFUQNYUXgE43377YTgg9VqpTSnCI+z\nI3BLCqA9tQpbbWd3HUmSMKSk0Jmaiux09tiuUqHk2fHPYnPYWNS46JinQviGRRASm8DuNSuIHulH\n2f4mutqt/X6fgiC4HPdTRJKkCEmSfA9+P1aSpEckSbr4jwlNEIQ+K9nq+jNi3HGLrcmp4f4vdpIU\n4cV71yWjUf6+Cffbt63GXxNMU0ctntOmkJmZCcCMCycy685EbnllIjNvH/K7rtEX6pAQIhZ8hiYk\nhKhFX2CxWNixY0f3+yGDvZg0ZxDTb4ynsrQYU3Mz7sP7Z37cL103LgJvg4ZXV+e5NhUGgg2u0xZO\nxvw4cCVlKj83tDGjsRT64LnFjAS0jNXgMS0cz3MHIGkUNC8rOCIZM4xPwdHSgnlfzjHbjvCI4IGk\nB9jXtY/F+YuPWW7YjFm01FRj8KhGdsoUZNb15y0KgvALx5sj909gLbBNkqTngFcBX+A+SZJe/YPi\nEwShL0pTQeMOAUOPWWRTXh13LsgkPtiDD28YhZvm9x8Ppd/UhlKhwqDpQFar2blzJzExMZhMrlML\nlGoFypMw+nQ8an9/wj/9BD+djtCWFlJTU7vnygEMmRRK8CAT1TW1eDU29dtCh18yaFXcPjGKjbl1\nZJgDQedJoHkDI2dGEDc+qN+vd4g2yhfZ4Ya1pI2A2bEEB4dQXOM6D1bprsFjegSWvGbMOY2HYx07\nFoCO1K3HbXtO7BxitDG8lPYS1R3VPZYZODoFvYcnRZnrMQW4icergnASHe+T9SogDkgG7gOmyrL8\nGHA2MP0PiE0QhL4qSYWw0d1ngf7ajqJGbv00nSg/A5/eNBqjTv27L1nTUEFkVwB2p53wKZHk5eXR\n1tZGUlL/bjNyIlReXvjddy+x23dgNpuPWMEK0NTUhNXpwLujHe3AgSclhmvHReDrrmHe6gIIT0FR\ntoVxF0Xj4XPiR5/9FsOoQAxjgwh4KAn3ccFERUdRXl7enci6jwtC5a+neXkh8sGjxFR+fmgHDaJj\n6/ETOYWk4Bqfa3DIDp7f/nyPZVRqNUOnnE1hZhrhcWoq8prpaLH0700KggAcP5Ezy7JslWW5GSiQ\nZbkTQJZlOyAmPAjC6aarCWr3dT/C+7Xd5c3c9HEaISY9C24Zg8lN0y+XXbX0M4L1UbR0NOA5bRIZ\nGRm4u7szqJ/nnJ0oj1mzCPL2Iri5mdTUVCyWwwlFZWUlAEG+fkjH2aLj93DTqLh9YjSb8+sp8xgO\nDfmuDZtPIk2oEa+LYlCZXAfcR0dHI8syxcXFAEhKBabzo3E0mGnbXNFdzzBuHF0ZmTh7OEf1l3zV\nvtyWeBvrytaRXp3eY5nE6eciI2Pp2A0y5GeIPeUE4WQ4XiJnkiTpEkmSLgU8Dn5/6OeTM7lDEIQT\nV7YDkHtM5Fo6bdy5IBNPvZqFt4zF113bL5eUnU46thbgrjahop42WSYvL4+RI0eiVPZ9U+GTQVIq\n8bv3PuLS0uns7CQ9/XDiUVFWhsLhICiud6dfnKi5YyPwddfybsnB7V1Kjz/q1d9CQ0NRq9UUFBR0\nv6Yb5IUuzpu2tWU4Wl3/b24Yn4JstdKZkfGbbc6Nm0uAWwAvp7+MUz56gYSnfwCRw5PIT1uHd7Ce\nfLE5sCCcFMdL5DYAFwDnAxsPfv/Ln38XSZLCJElaJ0nSPkmS9kqSdP8v3rtXkqT9B19/6fdeSxD+\nXyjZCgo1hCYf8bIsyzz67S5qWs28cc1IAj17dySUw+Ggtvb4//EtysogmBAA/JK82LlzJwAjR448\ngRs4eYxnTyfE35/A5ma2bt2K1epKXCoKClwLHUb0/USHvtBrlNwxKYpFZV44VG6HF6X8QVQqFQMG\nDOjeT+4Q0/lRyA4nLSuKAHBLTga1ms7UY29DcohOpeO+kfeR3ZDdfXzXrw07exYdTY2Y/KqpLmyh\nrfH4I32CIPTd8bYfufF4X/1wbTvwsCzL8cBY4G5JkuIlSZoCzAaGybKcAPy3H64lCH9+pakQPALU\nR869+mxbCT/vreGvM2MZHmY6bhOyLFNaWsry5cv5z3/+y5tvvsnO7dnHLL91+TcEusXQZenANGvS\nUYscTheSQoHfffcSn5FBR0cHGRkZOJ1Oqhsb+/VEh+OZOzYCL6OBvcrYPzyRA4iKiqKhoYHm5sN7\nwKl89BjPCqEzsxZLaSsKNzfchg+n/TfmyR1yftT5xHrH8lrma1gcR8+BixyRhIefP82V2wHEqJwg\nnATHW7X60PG+fu+FZVmukmU58+D3bUAOEALcCfxblmXLwffEv3xB+C22LqjIhPCxR7y8t7KF537I\nYcpgP26eEHnM6h0dHaxZs4ZXX32VDz/8kIz0dJwNzeB0snrxcuw2x1F1Wmqrqd97AH9dGDZLBQ2y\nTGtrKwkJCf1+e/3BffJkwoKDCWhuZsuWLdTW1mKTZXyRUPn4nPTr69RK7poczcr2aOSavdDZ+NuV\n+lF0tOu4tl+PyhmnhKEwamheWoDslDGkjMOyLwd742/Hp5AUPJz8MJUdlSzKWXT0+wolidNmUpmb\njVeAhTyxelUQ+t3xZvcaD/45GBgFHDpR+QL64dHqL0mSNAAYAWwH/gOcJUnSvwAz8Igsy2k91LkN\nuA3Az8+P9evX92dIfwrt7e2iX3rwZ+wXz+a9jHDa2NNqpOHgvZntMk9t7cJNBZeEdLBx44Ye61ZX\nlLM/Lx9kGWVHK7rWRlRtzSgkb2yhXnSqrLzzwKPEXjgDpfbw3Lry1A346SJQSgosxmZWrlwJQG1t\n7Wnbv5pJk4n74gvWm0ws+vxzALR6/THj7e+/KyEOmU2qOCRk9i19jdrAKf3W9m+RZRmNRkNqaiqt\nvzpT1ThAImCPlbRvN2DV6fAB0j78EEtyco9t/bpf4vXxvJn5Jn41fhiUR57Va9MakBQK2lpTsXdN\nZs3KdSg1v2/fwtPVn/Gz5fcSfXLyHTORk2X5aeD/2DvvuKrq/oG/z12sy97IEkEQQREFFRduTVPL\nUdowLa2nZdPqV1nPU9bTk1ZmZXtY5kotTU3N3ANFBVER2Xvvcfc9vz+uIwIEFE3tvl+v87pwzned\nw+Hcz/lMBEHYDkSe15ohCMLrwNqOWoAgCEpgHfCUKIo1giDIACdM5tYoYI0gCAF/rTAhiuLnwOcA\nwcHBYmxsbEct6ZZh9+7dmK9LU27J67LX9K4TfttDYO0EwDOrEyhRNfDjnH70C2hZ4/Tem/9B0GkJ\nUSqwCw5mf1YmntnTKex+BrlbDZyFhpo00n5ezYRnX8AzMBidVsNn339Kd+VoDEYD3eZM4sS+PXh6\nejJ69OjrcspXgjhkCNkHD+JaVUUpINXrCRsyBNcW7odrca8UW3iTvP1buqZ9TuiAcaZ0MdeJqqoq\nUlNTGTx4MBLJJYOMqDOQf+YQwbZ+2N05iHOfLMOvqgqvNl4X70pvJm+azCnbU7wQ/UKT9ppzp8g4\ncQyJ5QC6ekfhE+rU0ad2Q3BLPluuEvM1ufa0JUOnL43TjWgB/46YXBAEOSYhboUoiuvP784D1osm\njgBGTImIzZgx0xLZh8At9KIQ99OxPNafyOfJ4UGXFeIykhKo0elxsLagdrw371Vvxj13GJadBd54\n7CkeHfEoADrXGBpq1axaMJ+jm9aTcmAvmro6PK38UNUXIHp7kZubS9A1ysXWUQiCgNu8JwlNSADA\nvqoaZa9e13UNU/sG8JrdGxTo7TD+MAWKkq7b3AEBATQ0NFBU1DiRryCXIvdSosmuQZBKsenXl/qD\nB1ssw/VXAh0DuSPwDlalrCKnJqfJ8Z6jbkOnbsCgS6Eos7pDzsWMGTMm2iLIfQ8cEQTh9fPauDjg\nqmusCoIgAF8ByaIovvenQz8DQ8+36QoogLKrnc+MmZuSsjT4+THIOtByG6PBlHrkfNqRtJI6Xv35\nFP0CnHhiWMuClSiK/LZ2FQgS9rklsuzIZ4xLn4vSzop7Hh+KRCrBzcUNWwdbSp0KkVvfi6NXd/b+\n8DU7vvgYWxtflFI5Vu5a0tNN5Z4CAwM7+gp0ONZRUQR0CcQ3Kxv//Hwsg69vvjtLuZS37h/BbOMr\nVOjkiN/fYfo7t0BlvZZpnx4i5u2dvLwhiV0pJaib8VlsCxf85NLSms5n4WuLLq8O0WDEJiYGfUEh\nuuzsNo/9WMRjyCVyPjjetPCPd7cwnL19EYynKMqoaaa3GTNmrpRWBTlRFBcCs4DK89ssURTf7oC5\nBwD3AcMEQUg4v90GfA0ECIJwClgFzPyrWdWMmVsedTVsexk+6QcJP8CmeWDQN9+2KAm0tRcFube2\nJGMpl7Dk7l5IJS37IqXGHaBcpQWZngx5FvNq/4uiQcnYOT2wUirQV2mo+Okc3Xy7Ym+04Zx7AnV1\nw4m+YxYSqYROVjEAOI+IIDU1FSsrK7y9vTv8UlwL3OY9Sf/Dh+lhY40gv/rqFu0l0E3J01NGME31\nIg0aHSyfCFW5TdpV1muZ8WUcCXlVdPO0Y8OJfGZ9c5TIN3Ywd3k8a+JzqW7QtXlepVKJp6cnqamp\nTY4p/OwQdUZ0hfXY9DfdS/VtSENyAVdrV2Z1n8WO7B0klCQ0OiYIAt1jR6BTFVCYmo1oND/SzZjp\nKC4Xtaq88LMoisdFUVxyfjvRXJv2IoriflEUBVEUe4iiGHF+23K+msS9oiiGiaIYKYriH1c6hxkz\nNx24BEIAACAASURBVB1GIxz/Hpb2hkMfQ8+7YfwHUJ4KiU2jAgHIOWz69OtPjVrHvtRSpvbxwd2u\n5XxxBr2OXSuXY7C2Jc02k9EVd1N7VqD/pC54BjpgbNBR9vUpGuKLcT4pghHqu2SgVtSSfdaToU8s\nwtPSB426Euu+4aSlpdGlS5dGflc3MlY9euDy5BM4P/DA37aGcT08GTpgAFPr56NTVcPyCY0qPlwQ\n4tJL6/ji/j589UAUx18dyTezorgzshMn86qZ/9NJ7v/mSLvmDQoKIi8vD5VK1Wi/wtcOAG12DXI/\nP+ReXq2W6/orM7vPxNXKlfePvd903iiTcKiqSaGqpKFd45oxY6ZlLvfU/UUQhMWCIAwWBOFiGJIg\nCAGCIDwoCMI2YMy1X6IZM/8QcuLgi6Gw8XFwCoA5f8DEj6D3A9CpN+z+L+ibqVeZcxDsfcHem90p\npegMIqO7u192qoRtW6jQ6EAQKBfq8U7tjX8PFyJG+iDqjJQtP4O+XIXjtK50svNAKkoYoR/Mni6r\nqS5Sc3hFJs4yAaNFGUXFxdTX19/w/nF/xfXRR7Ed8feWjX5xbAjWvr24XzMfY00RfH8HNFRQWa/l\nnj8JcUO6ugIms+zQYDfenBTOoZeG8djQLiTmVrVLKxcYGIgoik3SkMgcLJDaK9Dk1CIIAtYx/ak/\nHIdoaLsZ11puzYPhD3K85DjHi483Oubg4Ymjpy8GXRrFmWbzqhkzHcXlEgIPB3YCDwOnBUGoEQSh\nHPgB8MBk8vzp+izTjJlbnJTf4OvRUFcMd34Bs7dBp/PVEQQBhi+AmjyI/7pxP1E0BTr4mbQd204X\n4aK0oJePY4tTqevqOLx+FVIPX1SWDUSqhiIIAsNndgMRKtakoM2qwWlaV6yClXg+0gtvKzcKcwp5\nynkKyS6HcTJIkAoCTv2CLprpLvhfmWk7cqmEj++JJFXRjeflLyKWp6Ld8Dj3fhVH2l+EuL8iCAIx\nXUxxYIl5Vc22aY5OnTphaWnZrJ+cwtcObbZJyFLGxGCsrUV9quWE0M1xZ9CdOFo48tWpr5ocC+4f\ng6jPJzc5r11jmjFjpmUuawc5b+q8RxRFf1EU7URRdBZFMUYUxYWiKBZdrq8ZM2baSFkqrJ8DHuHw\n+FHoMc0kvP2ZgFjoPBj2LgJN3aX9FRlQXwK+/VHrDOw+W8LIUHckl/GNi/t5DQ0aDQ0IpFtm4FPZ\nHRt3sLCWUf1rBqqkMhQ+dZT87xlSevchY8wIvCozqZGo8DitZKSdGx7SSowGLY5joklNTcXLywul\n8oo9Lf7RuNtZsnR6JD9XB7HB/n4UqZvpVLqHz+/r3aIQd4Fwb3sEARJz2y7ISaVSAgICSEtLaxKV\nqvC1w1ClwVCjwbqfKbl0e82rVjIrZnSbwd68vaRUpDQ6FtTX5FeZc6r1Wq5mzJhpGzeHQ4sZM7cq\n6hpYNQOkcrj7R7Cwbbnt8NegoQzill3ad6HUk29/DqWXU681XNasWl1SxImtG3GOMOUu01sJGKok\n2HpBxcoj1B0sQJe9m/Klz2CoqMD54YexjorCNcmUIiOrZBe9K4Lxt3JFYyxALRrIz8+/6cyqNxr9\nuzgzf3QwLxQMJlX0ZondSmI7ty4Y21nK6eKqJKEdghyY/ORqa2spLm5caUHhZ7r/NNm1yJycsAjt\nRv3Btgc8XGB6yHSsZdZ8faqxBtnVrzMWNk7UlJxGq24heMeMGTPtwizImTHzd2E0woaHoTwdpn4H\nDj6Xb+/dB4LHwYGll8o75RwGKydwDWbb6SKUFjL6d2k5b9y+lcsRJFLqLa2ptKhkqHwCAEE7tqE6\nqUVXdAJFZzV+P64gYMtm3J5+ik6LFxG5ZQtO9vaUhbkjsUhGFPW4DAy+mHbELMhdPXMHB/DMmDA0\noxdhVZ8He99tU7+e3g4k5lW1OecbtJyGROGlBJmANsdkXrXp35+GhASM9fUAiDodmrQ0LI4do/Tj\nj1ElNZ8Dz97Cnqldp/Jb1m/k1l6KxhUEAd+wKIy6HPJTzNUXzZjpCMyCnBkzfxd7/wcpW2D0W9B5\nUNv6DHsFNDVwYInp95yD4Nsfgwg7zhQzNMQNC5m02a6FqSmkHNxL6OhxlJdVkGuTi3tZIF7U4OA/\nBomtFt8ls+j01kKsIyMR/mLeDQoJIbe+HtdXZuG9cAiOd0RfTDvi5eV1NVfCDCYh51+xXQiLGQs9\nZ8DBD6HkbKv9InzsKavTkl+larXtBezs7HB3d28iyAkyCYpOthf95GxiYkCnI/exx8m4fQJnI3uT\nMf52HL74krKlH5H/7HOIWm1zU3B/9/uRClK+O9047WjY0MGAgeQD7df0mTFjpiltEuQEQRgoCMKs\n8z+7CoLQcvVtM2bMtM7ZLbD7bdMXdt+H297PPdTkQxf3GRQmmnzk/PpzPKeS8noto0JbNqseWrcS\nKzt7BA+T5q+Tjy8VmSqCBC1GiRGPpwcjtW/ZtBsYGIheryc7OxtBJsFoNJKWlkZgYOBNk3bkpmHU\nG6BQwuZnTAEtlyHifGBLe82rgYGB5OTkoFarG+1X+Nmiza9D1Bux7t0bua8vutxc5F5eOD8wE693\n/kv5//0fnZZ+iC4nh8rVa5od383ajQldJrAhdQNlqks53f17hiGRWpN3Jr5d6zVjxkzztPr0FQTh\nNeAF4KXzu+SYIlfNmDFzJZSeg/VzwasXjH+/aWBDa8S+CEYdrH3A9LtvDNtOFaGQSogNbt45viw3\nm8wT8USOuZ1jp45TZlHGSKuJWAlgb+dOtb8EifXlE+P6+/sjk8kuRqkWFBTQ0NBgNqteC2xcYOR/\nIPtAy/kDzxPsYYtCJmlXwAOY/OSMRiOZmZmN9lv42oFBRJtfh8TSEt2SD3D/eQM+n32K27PPYj9x\nInpfH2xHjMC6Xz/KPvkEQ21ts3PMCpuFXtTzw5lLXxkSiRQHrzBqy1LQtaDNM2PGTNtpy2v0HcAE\noB5AFMUC4DIe2WbMmGkRdQ2smg5yS7jrB9Nne3EKgMj7Tdo4uTWiRzjbzxQzINAZW8vmhbH4Xzcg\ns7DAKzIaVZWKWudapEc0dJHqEQSBav/WhUm5XI6/v/9Fc9yFT3PakWtEr/vAOxq2v3LJJ7IZFDIJ\n3b3sSMxtXw1THx8fFApFUz+5C4mBc2pITk5m9erVfPfdd00SCAuCgNtzz2GorKT8y6apRgD87PwY\n6TeS1SmrqdVeEvb8e0SDqCXlYPuSGZsxY6YpbRHktOdLZIkAf04ObMaMmXZyYAmUp5mCG+yvopzV\n4PkgswTvPpwtVZNT0cCo7h7NNq2rKCd5327CYkdy9OwJREQGdO9LUa4eXysFVuEuGNooTwYGBlJe\nXk5FRQWpqal06tQJGxvzI+GaIJGYNLaqKvj99cs2jfBxICm/Gr3B2ObhW0pDIrVTIHW0oC6znK1b\nt+Lg4EBlZSWrVq1Cp2uceNgqrDt248dT8e236Iqaz0j1YNiD1OnqWJ2y+uK+0MF9AQVn9l2mhrAZ\nM2baRFsEuTWCIHwGOAiCMAf4Hfji2i7LjJlbkPoyOLwMwiaD/4CrG8vOE2asgTHvsO10EYIAI7o1\n7x934rdNiEYjkWMnkJSURJlVGdFHrPGwUiKTSFEO6NTmaS+YUU+ePGlOO3I98AiDfv+C499Bbsva\nqwgfB1Q6A+eK61ps0xyBgYFUV1dTWlraaL/Cz46DWSeoqalh8uTJTJo0iezsbH7++WeMxsbCoutT\n88BopHTp0mbn6ObcjQFeA/j+zPeo9SZ/PFdfB2SWARSeO4HR2PbKEWbMmGlKq4KcKIqLgJ+AdUAw\nsEAUxeb/Y82YMdMy+98HvQpiX2q9bVsIGALuoWw/XUxvX0dcbS0AUKeco27fPkRRRKtqIHHHVoKi\n+1OpU0MDuHjakb83kwALAZmnDQo/uzZP6ezsjKOjIwcOmDQpZkHuOhD7Eth1gi3Pm1LWNENPbweg\nfRUewCTIQdM0JFUOWk4ZsogM74WPjw/h4eGMGDGC06dP8/vvvzdqq/D2xvGee6je8DPqc+eanefB\n8AepUFfwc9rPAEgkAs7ePdBr6yhISW7Xms2YMdOYNoWaiaK4QxTF50VRfE4UxR3XelFmzNxy1BTC\n0S+hx93g0j7hp7xO06LJLLeigTOFNYz+k1m18JVXyJ0zl/ynnyFx8y9oGuoJv20cP2z/ASNGJuYK\nGJzCsJVKsB3YqUmakdYIDAxEp9NhbW2Np6dnu/qauQIslKYSbYUJcGZDs038nK1xsJa3O+DBwcEB\nV1fXRoKc0Wjk97QDWKJgoG/kxf0DBgwgKiqKgwcPkpfXuMSW88NzkdjYULr4vWbn6ePehx6uPfj8\n5OdkVWcB4B/RG5CScrh9lSPMmDHTmBYFOUEQas/XV212u56LNGPmpmffYjDqYcj8NnepVetYuPkM\nfd/ayeRPD5FT3tCkzbbTJr+kUeerOejLy1EnJWHVsyc1O3dydOX3KJ3tmX/4TYx5RqTueoSNcXg6\nuGGUS7DucfkSUM1xQQsXFBRkTjtyvQifCu5hsPMN0DeN9BQEgZ7eDu1OQQImwTw7Oxvt+QjSo0eP\nUlhWTD+xK5LCS3MJgsDYsWMJDg4mLS2N5ORLmjSZoyMuD8+lbs8e6g/HNbu+Bf0WoDfqmfnbTJLL\nk/EOdkci8yX18KF2JTM2Y8ZMY1p8CouiaCuKoh3wAfAi0AnwxpSK5M3rszwzZm4BqnLg2LemKESn\n1lMwiqLI+uN5DFu8h6/3pXGP7jBWZ/dy+5LdbEwsaNR2+5liQjxs8XM2BRzU798PgPurr1L4/BxU\nMgldTqTSI7UzNnZWzC5WUO0SiYdMwCLSDUHefkGsc+fOdO7cmcjIyNYbm+kYJFIY8TpUZpr85Zqh\np48D54prqde0r/RVYGAgBoOBzMxMampq2LlzJwEBAYR4BaHJafzOLpFImDx5Mra2tqxbt47c3EtV\nGxzvvReZpyclixYhNmMCDnYK5rux32EhtWD2ttkU2KQjUQRSX1VKaXZmk/ZmzJhpG215io8WRfET\nURRrRVGsEUVxGTD5Wi/MjJlbhr3vmnLFDX6u1aan8quZ8ukhnlmTiJeDFe/45mGXc5yokgNMzVnF\n4q9+5vm1iTRo9ZTXaYjPqmgUrVq3Zy8SZyferVrLzn2bqLMxkDFyCHqZJQN2HaBu7U/YdBuBKAi4\nDPe9otORy+XMnDkTPz+/K+pv5goJHAH+g2DPO6Bpmretl48DRtF0D7UHPz8/5HI5aWlp/PbbbxgM\nBsaNG4elvz26gnqM2sbBCAqFgvDwcJRKJRs3brwY/CCxtMR13pOoT52iZuvWZufqbN+Z5WOX42bt\nxhMHH8XStQsgkHrEXOXBjJkrpS2CnEEQhHsEQZAKgiARBOEewBxmZMZMWyhPhxMroM/sZtONaPVG\nUopq+SUhn/k/JXL7R/vJKqvnf1N68H6MJdl7ttBz1DjuePE1PO0tmVC8BdWWz7nrf5s49tVJZokW\njApxA0A0GKjbv594fwMHj2zFuUZB1OgZFEhs6BMUhLvBgNHeDRepFQ2OlkjtLK731TBzNQgCjPg3\n1JfCoY+bHO7hbQ+0v8KDTCajc+fOJCQkcObMGYYMGYKzszMKX1swiujymkbCKhQKRo4cSWlpKQkJ\nCRf3299+OxYhIZQsWnyxPutf8bDx4Lsx3xHsFEyyxRkkCi/SjpoFOTNmrhRZG9rMAJac30TgwPl9\n/3j0lZWoT5/BUFmJoarq0mdVJZahoTg9+GC7HcnN3GLseQekChj4DABqnYHvD2WTlF9NSlEtGWV1\n6Awm/yCFVMIDMf48NaIrMk0dy+e/hIuPH0Pum41cYYFfeATHt2xEsnYlY3LPEOroQigWWGzPxTjd\nBvXZUxhratjjI2FK9TC0DlWcKyzHycmJUdOmIZ82jay1KciTqpD3Nwcp3JR494bQiXBwqenlQOl2\n8ZCz0gIfJ6t2R66Cybx67tw5XFxciImJAbgYzazJqcEiwL5Jn9DQUDp16sSuXbsICwtDoVAgSKV4\nLHiV7Bn3UPrRx7i/0LxPqIOlA1+O+pL/5CxFkhtEWc5uijPTce9sTi5txkx7aVWQE0UxC5h47Zdy\nc6ErLiFryhT0f86/JAhI7ewQrK2p2bIVib09jlOn/n2LNHNdMRr1qNX5qFTZNKiy0VScRqz9FbFf\nJMaCTxBFPcezSykoqcNRcGKYjzt3hnrj5exDgLs/gR5+WMjliEYj699/H21DA1NfXYhcYdKcSWVy\noiZMJtAnirrVWeTUJVOsyqK3OIrMhbtIrv0VW1srwiLGUL3hJE4DR1JSXskDDzyAQqFANIqIKbVU\nGUVCzILczcuwBZD8q8lkf9u7jQ5F+DhyPLuy3UOGhIQQHx/P+PHjkclMXwtSGzkyFyu02c3Etomg\nza1l+MChLF/9A3FxcQwaNAgA68hIHKZOpWL5cuwnTsAyJKTZOa3l1jw5Zg7rTxxGrdnN/p9/ZPLT\nr7Z77WbM/NNpVZATBOEbzld1+DOiKM6+Jiu6CTCq1eQ9/jiG+nq8l32Cws8fqaODSYiTShENBnLn\nzKH4zYVY9eiBZXDw371kMx2M0aihujqBisoD1NYk0aDKRq3ORxQvOZoLooDgZYlEno9QUoLeKEFh\nMBDlKcVSWn2pbQ0U1UBxmgylshuaCnuqajMZNPMRXHwa+6HpqzWofs1H7mZNwOyhyJITSTt7Gt/y\nQLpbTiAuTIpuw0lEe0eyyyuJjo7G398fY4OO+uMlKLQGit1tkMml1/NymelIXAKh90yI/9qULNgp\n4OKhnt72bEosoKRWjZtt28u/2dnZ8eijjzbZr/C1RZ1SiSiKCIKAUWOg4UQxPgcklG5LxLaLPV27\ndmX//v1ERkZerPLh9uwz1O7cSeFrr+H/448I0ubvNw9fB6QWVtRK3cg6coSa0hLsXN2abWvGjJnm\naYtp9dc//WyJqfZqQQttb3lEUaRwwQLUSUl4f7QU26FDm7QRpFK83n2XzEl3kP/kPPzX/YRUqfwb\nVmumoxBFkfr6c1RU7Kei8gCVlUcwGlUIghSlTQi2tmG4u43DytoPayt/rIqyUayajTB4Pgx5GbXO\nwG1L9qE1GNn21GCsFRK0ugo06kI0mmI0mmLU6jxKiw+jFg7gP1Kkklc5cGAZtlZhuLqPxMVlJJUr\n0hF1Is73hiJ3s8ajaxCa8Rrmf/8QTx8axUD3O6nsVM121RkcJDKiCaL44wR0ebUgQq1BxLGfWRt3\n0zPkBUhcBX+8CVO+vrg7wud8YuDcakaGXkEd37+g8LOj4XgJmnOVqM9VUh9fjKgxINqBVU9XVIml\nDJneny9TU9m3bx9jxowBQOrggPuLL1Aw/wUqV6/GaUbz3jgSqQR3fztK86IQxc3sW7WWrv2mUF3a\nQHWJCq3awND7QrC0ab6GsJkrRBRNPpdmbgnaYlpd9+ffBUFYCfxjkwJXfP01NRs34TrvSWxHjGix\nnczZGa/Fi8h5YBZFCxbgtXix2V/uJkSjKaag8CcKCtaiVptSLVhbB+DlNQUnxwE4OvZDJrO91CH3\nCGx8EzJ2gb0v9H8MgA9+TyWjrJ7vH4zGxsL0b2ehcMFC4QKEA6BVNbBnaRp6fQx3vvooKl0yVaWH\nKc/eQWnVdoSzFijtI/CKnoLU5dK/7uL4xRiSjqPal4DdvM84kZdLrbSB27S9UO0rQqdUUGlnQU6V\nhsI6PbN6uFyfi2fm2mHrYbq39r4LMU+AVy8AwjrZI5UIJOZWMTK0+ZJt7UHha/KTK/vmNEgFrMJd\nUPb34lDGcQIGBKFJq0RxvJ6IiAiOHDlC3759cXR0BMDu9tup2rCB0vfex3bECORuzWvaPAPsKUwN\nRitP5+z+38lM6owgscTKToGqRot/D2e6xXhd9bmYwSTAHf3SVLtXkICNq8nP0sYVlO5g625Kk2Tb\nfN1mMzcmbdHI/ZUg4B+Zd6Buzx5KFi3GdswYnB95pNX2NtHRuD75JKUffIB1VBSO06dfh1WauVpE\n0UB5+R7yC1ZTXr4LUTTg6Nifzv6P4eQ0AEvLZr5U8o7B7rcg7XewdoFRb0KfB0FhTVJeNV/sy2Ba\nH28GBbWcgPePbz6juriYaQvewtUjDOiH1YY6ZMv2YIzpjmawE7Xe8aTUPE/6/jdxcxtLnuDPyrMr\n+aDMj/IuMrapjlAlraKLLoDcGjtO6HXoq3Q4uFnj2tWJ4WHOWNkqrtm1M3MdiXkSjn4Fv/8b7jeV\nvrKUSwnxsL2ixMDNIXe3xibKA6m9Apu+nkgv3DuZIFFIUQ7ypua3LAbOiiIpKYmdO3cyZcoUwJQE\n2GPBAjInTqLkv/+l03vNV30IHdiJpKLTJBTUEnJOR/eBlQy8+25kcgnfvnCA3OTKf44gp62H3Dhw\n8APnDg78qCuFXx6D1G3QeQi4dYO6EtNWehYy94K6CpI3wYO/g8z8nLhZaIuPXC2NfeSKMCUF/keh\nycgg/9nnsAgJweuthW3WrjnPnUPDsWMUv/U2lj16YNW9+zVeqZkrRa+vJTf3O/ILVqLRFCGXO+Pr\n8xBeXtOwtvZvvlPJWdixwPRwtHIypYeIngMKk6+QzmBk/rqTONsoeHlcaItzH/3jV07v2UnwuNF4\nh4YBYGxooHLFCqx7D0PqeCdCioqIGR9RWX2Q4uJNFBb9gsSo4nlPOyrdZZzyj8CiVodDeU+cQ7vQ\nabgj/X1tcfFWorC8knc2Mzc0lnYw6BnY/opJE+wTDZgSA29KLMBoFJFIrs4KIEgEHCe3XFJO2c+T\n2j15iHFV9O/fn3379hETE4OXl0nwsujcGeeH51K29CPs77gD5fmAiD9j72rFwGlBLP31IJHGAaQc\n+I1B06chCFK8uzmSe6YC0SgiXOW53JDoNZB31CREZe6FvHgw6kwa1rm7O26e1B3w879AXQNj3oHo\nudBcVZazm2HVDPjjDRj1RsfNb+aa0moeuQsVHv60df2rufVmo73lYAzV1eT961EEhQKfjz9CYm3d\n5r6CRILX/95B6uxM/lNPY6htmsjTzN+LwaAmO+dLDh4aSkbm+9jYBBEe9jEDB+wnMHB+80KcKMKx\n7+DzIaY36OEL4KmTMPCpi0IcwKe700kurOHNSWHYWzXv51NVVMjurz9H42xDmqyGukMFVP+WSfGS\nPSjCHkIeMB1BBvXb38FYVoGLy1BCQxfzg6oHuytccBN1OI45Te+IXXiKAoNv78XYR8LpOcwHr0AH\nsxB3K9N7lukFYu+ii7sifByoVevJLG8+j1tHIrGUYTvAC/WZcqIDe2FlZcWOHTsaPWOd58xB0bkz\nRf/+D0aVqtlxgh2DsZXbUhZmRX1VJcn7dwHg080JVa2OsvymuexuejY/C//1hW/HmUzkeo3JXB4+\nDQoSoKHi6ufQqWDLfFgxxWQ+nbsL+j3SvBAHEDLOlNbm4IeQvuvq5zdzXWhVkBMEYWdb9t0MGPR6\nDqz5gY9m3UX6sab1AFuiYP4LaAsK8F76IXKv9qv4ZY6OdHpvMbqCAgpefKnFh5mZ64vRqCMv/0cO\nHRpGWtrb2NqGEdVnA70ivsXNbQwSSQumBU0trJ8Dm54E337w+FEY9CxY2DZqllpcy9I/0hjfw7NR\n9YU/Y9DrWLnoVbrY9OR+u8eZcnIwVb+kU7s3H12JDqmdHZbdXHG6uwtGTQ1ln30GwJ68PVSlqpGe\nHktS3GSKj45CLtPiM3AZWvt/UVK61Vy/8p+AhRL6P2rSCBcmApcCHhJyOsa82hrKGC8ECynaA8UM\nGTKEzMxM0tPTLx6XKBR4vPYaurw8ypZ92uwYUomUSPdIjlik4urXmfhNGxCNRryDnQDIS25/SpUb\nmqIkk69a0Ci4eyXMzzQJWSP/DVEPAaJJQ3c1VOXCF8PgyGfQ9xGY8we4t8EiNGohuATDhkegvuzq\n1nCVVKt0zP8pkb3nSltv/A+mRUFOEARLQRCcABdBEBwFQXA6v/ljqrt6Q6M+c4bse+8j+977yJk9\nm9MPzWb5zGkcXrcKQatly4eLqCjIa3UcVdIp6vbswW3ek1j37n3F67GOjMT9hfnU7dxJxoSJ1B88\neMVjmbk6RFGkqGgjh+NGkZLyKpZWnYjstYJeEd9iZ9fj8p2LkuDzWDi1Doa9AvduaJSU9QIGo8j8\ndSexsZDy+oSWH567Vn6Db40v0Y6jkIbY8mLgh3w6dAvKfpXUb30BhwmuNES4USqzw+LOGVSuW48m\nL5dPD39KeEU4/j4BOOT1oDZjIqGBmwgNXQyInDr1BCdO3Etd3bmru1hmbnyi54KF/UWtXBdXJTYK\n6RUlBr4SJNZylP29UCWVEeHfHQcHB/bubSyE2PTri/2kSZR//TWa1NRmx4nyiCKrNpvgUSOoyM8l\nM+EYSkcLHD1tyD3bAdqpG4nj35sShd++BEJuAyuHS8c6RYLCFjJ2X/n4OhWsvgeq8+Cen2DsOyC3\naltfhTVM+QpUFfDL4ybrw9+ARm9g7vJ41sTn8cA3R/hqf+Y1eTk9kFbGqz+fQqtvWh/4ZuFyGrmH\ngWNACHD8/M/HgF+Aj6790q6Oiu9/QHXqFCKQWl/NjpoSanVaohqMxCSlIxj0/PLum2gaGi47TuWq\nlQjW1jjcdddVr8np/vvxXf4dglRKzuwHKXjhRfSVt9ib5g2OSpWDUVzM6TNPI5Xa0LPHl/SOXIOj\nY7/LdxRFk2P5F8NNDskzf4XBzzdroiiv0zBv1QlO5FTx2u3dcVE2XworO/EEuv1l9HQaijZEjsd9\nPejbezAbC3+l6PNPUAR2odY7go1LEvj1o0S2FkezL3ohqxfux/dUCBJBgjrJHXQShnUrxrebG54e\nk+gbvZng4DeorUvmyNHxnEtdiF5vNunfsljaQ9+5Jif1krNIJQI9vB1I7KCAh7agHOiFIJPQsLeA\nHj16kJubi+ovlge3F+YjtbGh8PV/Ixqbfmn2ce8DQLm/FFtnV45uMnnw+HRzpCC1Cr3uFqkMJLeC\npwAAIABJREFUqVPDydXQ7Xawdmp6XCoH/wFXLsiJIvz6tElDe+fnEDSy/WN4hMPI/8C5rRD/1ZWt\n4yowGkWeWZNIXGYF/70znFGhHrzx6xleWHcSjf7y94Eoim0W+NJK6nj4+2N8fzibD3c2/4JxM9Ci\nICeK4hJRFDsDz4mi2PlPW09RFG9oQc6o0VC7YwfyUSM5HtaFBDT4REQy+9PvGLxpC64xA4gsqKSy\nqIDfPnmv2YcKmHzjan7djP348UhtbZtt015soqPp/MvPOP/rEao3bybjtnFUb9xoNoNdY4xGPdk5\nX3I4biyQSXDwG0RHbcTFZWjrgSsGncnMsPkZ6DwIHtlvetD+BVEU+elYHsPf28O200U8PaIrEyOa\nN8XXV1eR9tUewh0HkelTQuf7+yJIJdzb7V6is+WIaVk4zHqIPSvPoXSyYOJTEQy+uys+DrUY6qqx\nRsCi3gMbQULvE4vwGdP34tiCIMW70wz69/sdT8+p5OZ+w6HDIygs3GC+z25V+v4L5Naw3xQZ2tPH\ngTOFNaivk/AjVZqiWhsSSvB39UEURTIzMxu1kTk64jb/eVTHjlG1rqmbdbBTMDZyG+JLjxN52wTy\nzpyiKO0cPt2cMOiMFKZXX5dzueac/dUUHdrrvpbbBMRCZSZUZrd//CNfQOJKGPIiBI+90lWazLGB\nI2Hby1CSfOXjXAELtySz+WQhL40N4e5oXz65J5InhwexJj6Pe76Io6xO06RPVlk97247S/+3/2D6\nF4epVesuO0e1Ssfc5fFYyCSMCnXnk91pHM+5ORUrlzOtDjv/Y74gCHf+dbtO67si6vfto9Kg5bfi\nTHJPnWTYrIe586V/o3RyBsBp1gM4FhQT3aMPaUcPE7dhTbPjVG3YgKjR4Dj97g5dn8TCArd58+i8\nfh0KX18K5r9A7py5GKrb/qDKT0nmzN4/SPpjOwnbt3B8yy8c3biOuA1rKMnK6ND13uzU1iYTf2wK\naWlv4+Q0EInwBt6dZiAIrbqImt6eV98HJ1fB0JdhxlqwaZqHLausnnu+jOO5tYkEuirZ8uQg5o0I\nalZINBqNnF68iWDr3hyyP0HvOWMvRuQ5WjryQIID5baQIPhSUVDPkLuD8Q5xIjzWG8NdeqTGvQgY\nue/RSQzRb8HWToZFM9VDFAonuoUsJKrPeiwtvTmT/BzHj0+noeEKvhzM3NjYOEPUbEhaCxUZRHd2\nRGcQr+sXk+3gTiARsD9nxMLCgrS0tCZt7O+8E6s+vSlZtBh9eXmjYzKJjEi3SOKL4wkfNhqFlTVH\nN63HK8gBiVQgL/kWMa8eXw4OvqYUIC0REGv6zNzTvrGzD8K2l6DrGFPS6KtBEGDSJybf358eND0L\nrwNf7svgq/2ZPBDjz9zBpqolEonAMyO78tGMXpwqqGbiRwc4U1CDSmtg3bE87vrsELGLdrNsdzpd\n3GyIz6rk3i/jqGrQNjuHwSjy1KoT5FQ0sOze3iya1hNPeyueW5OISnvzaX4v90124S67vZlt/DVe\n11VRvXkzZ3w9kFpacu9/l9BrzO2NvlCt+/bFIiQEz4NH6DYwlgNrV5Bx/GijMUSjkaqVq7Dq1QvL\nbt2uyTotu3bF78cVuL/yCg1xceTMmo2hqnVzyKndv7NqwfNs/fg9tn/2ITu/+oRd333B3hXfsH/V\ncn58+RmS9+++Jmu+mTAaNaSlL+Jo/ETU6gLCwpbSI/xTTK6fbUBTBz9OhXO/wbjFMGR+E1OqzmDk\n411pjP5gL0l51Sy8I4w1D/cnyL15Da5oFElbuhMvrT97pfvxf6Af1opLUdCqkydxTi5kR7QHyTvL\n6dLLFf/zCXx1Bh2fZ6wlM7AL/llZuBjqUB3cj83gQZfVKtrZ9aBP77V0C3mbuvqzHDl6OwUFa83a\nuVuN/o+DRA7736ePvxMSAeIyrp/wI7WzwKaPB6rjpXT28SctLa3JPSYIAp6vv46xoYGS//2vyRh9\nPPqQWZ1JrdBAz5FjSY07SG1ZAR4B9uTeCgEPlVkm4azXfS1HjgK4hpgS9LbHvFpTAGvuB0d/k0n1\ncuO3FaUbTPoUSk6bIl/TdrbuM2fQQ+rvpnrA7WRTYgFvbk5mbJgHr44PbfJcG9/Di7UPx2Awikxe\ndpCohb/z7NpEimvUPD86mIMvDmfFQ/349N7eJBfWcvfnh5vV3r23I4VdKaW8NqE70Z2dsLOU8+6U\nHmSU1fPOb2fbve6/m8uZVl87/zmrme2a11kVBMFBEISfBEE4KwhCsiAI/dvSz9jQQPrRw1RayomZ\neg/O3j6NjhuMIifzqnGcORNtajr9w/rg5hfAlqWLqCzMv9iu4fBhtNnZOM64tkl8BakUp3vvwfuj\npWhSU8mefXlhLjPhGNs/+xDf8AhmL/mcOR9/wyOffc+sx+czycqF4aezsK9tYMvSReTH7WvRbHyr\nU1+fztH4KWRnL8PD4w7699uOu9ttba+uoaqE7ydB1gG447PzkWRN+c+mM7y7LYXh3dz4/dkh3NPX\n77K5u0q2nMa60JIjugOk3aYlyjO60fHyL79CsLPDyfUxdOjoOt7+4rH1qeuxLbBFFKSEpqWTN28e\nxro6lIMHt3o6giDBy2safaO3YGsbRvLZF0k69Sha7S2i5TBjysYfeT8krMROXUR3L3sOZ5S33q8j\nlxDrDSJ4lNtQU1NDaVFJkzYWgYE4Pzib6l82Un/4cKNjUe5RAMQXx9Nn/B1YKpVsXrqITl2VlObW\noqprXsNy03BiBSBARPMlyy4iCCatXMYeaMszXK8xWQ50KrhrhclvsqMIGgG3LTIlDf7hTvi4r8lf\nWPuX9DZFp0xm2PdDYcVkWH0vlLXN70xdr2Ptl0l89n0S/X0cef+uCKQtPEfDve3Z+PgAhoW4MSrU\nnVVz+7HruVgeGxqIh72pLN2IUHe+eqAPWeX13PXZIYqqL2kTN58s5ONd6UyP9uHevr4X98cEuvBA\njD/fHsziQNrfG63bXtqSfsRCEIQZgiD8nyAICy5s12FtS4DfRFEMAXoCbTLSV+/cyVlnW+wdnQkb\n2tjJM7eigUeXbWL9pwv4UeqJzNWV2hUrmPDs/yFIpfyyaCFalSn4oXLlSqSOjtiOHt3Bp9U8yiFD\n8P74I7Rp6S0Kc8UZaWx6721cfP2Z8Mz/4ejhhSwzi7KnnqF4zsMYUtPwfnIesU5eeJfXUHQ8jl/e\neg2d+vqoxG8ERFEkP38VR45OQKMpomePLwjt9g5yuUPrnS9QVwLfjjc5C09bDj2bD3SpatCy9lgu\n0/p488k9vXG3u3xtS32FGvWBMvJV6XwZ8TvPRD3b6LgmM5PaHTuoG/8IsiIn4n23sirvBwDUejVf\nH/+awLpAwsPD8Z00EW1aOshk2MTEtPnULC29iOz1A4GBL1FWtpu4I7dRXt5O842ZG5cB8wARDn5I\n385OnMitum5+cgAyB0vsRvnhWWbSMh/7dCflK5JpOFGCseGSz5LLI48g9/Wl6LXXMWouaUy6OXfD\nWmZNfFE81vYOjHpkHqVZGZRl/w4i5J1tWSunVavY+vF7pB65QTMCGA2QsAICh4O9d+vtA2Khocyk\nDWuNLc9DfjxMWgZuIVe70qZEz4GnT5u0c3JLk7/we91MyagPLoVlA+HTARD3GXhHmV5+ZRZwYEmb\nhv9j7TlK4ksZWydncLKGnV+c5uzhQjQNzfu5udlZ8vE9kbx3VwT9ApybfUEfFOTKd7OiKapWM+2z\nQ+RWNJBcWMNzaxOJ9HXg9Qndm/R7YUwIAa42PL82kZpWfOxuJNqie/0FmAjogfo/bdcMQRDsgcHA\nVwCiKGpFUWxTCNbJn3+izlLB4AfmIJFKOd+fDXEp/LrkCd4veYh/y7+jX/xjlA8bQ/3+/VhUVTN+\n3nzK83JI+mM7uqIianf+gcOUyUgU169MiXLw4EvC3KzZjSJaq4qLWP/f17Gys+OO515Bd+IE2ffP\nJPu++9GkpeH24gsE/r4Dl7lz8P/mG0bOfZyQkirSTx5nxRNzqClt+mZ8q6HTVZF06jHOpryMg30f\n+kZvxsVlWOsdz1PVoOWxT36h6pMRUJEBM1ZDt5a9CNbG56HWGXkgpnOrY4uiSOnq0xgNBlZZruPF\noQtQKpSN2lR88y16S1tO1nTBzc+WLjGOrE9dT5mqjNUpq3EsdkRilDB48GCcH3wQwdoa68hIpEpl\nC7M2jyBI8PN9iKioDcjljiQkzsZoXIHB0NQEYeYmw8EHek6HY98xyNOIVm+8rtGrAHaxPnRdMBRn\nO0cKbWvRZFVTsTqFgjcPU7H2HKIoIrG0xGPBArTZ2ZR//sXFvjKJjF7uvYgvigcgsE9feo68jeR9\nW5BK8shtwU9Or9Xyy7tvcGbvH2z5cBHFGU398zoadb2O/JRKTu7KZdf3yfz8/nEK4o2cO1JETbmq\nqetC+h9Qk3/ZIAdRFEnancex37JQuw007WzNvJr0Exz/zpTLMnTC1Z3U5ZBZQMR0mLsHZm+DgKFw\n6BOTMCdTmLR2z6bA3Sug593Q6144uRqF5vJa4dLcWjIOF3PCQk/MnFDCBneiLLeWnd8m8/Xz+9m0\nNJHaiitTRvQNcGbFnH5UNWi567NDzFkej52VjE/v7Y2FTNqkvZVCynvTIiiu1fDvjWeuaM6/A6E1\nPxlBEE6Johh2ndZzYc4I4HPgDCZt3DFgniiK9X9qMxeYC+Dq6tp7zZo1GGuqOfPtMhRWNgQ99DiC\nIFCn0ZOTsJ0pDatxE6rIdRpArVM4XdO+IEnVGcUWHZroKGruu49TP36FpYMjPQ1ybLZspeyN/2B0\nuf4FxhWnz+CwbBl6Tw8q581DK5WQsu4HDA0N9BYtcTx7DolKhcHOjobRo2gYNAiaEThVeXnIf1nP\nKVGNVBDw7TcYuV9n5DZKZJZWbTcz3gSI4lmM4pdADYIwGYGRLQYz1NXVofyL8KPRi3x4tJqPVPNx\nEWpIDF+A3qXlklpGUeTFfSocLAT+r2/r+Zls8wXckyTEl29n66Bcpvs+0Oi4pKwcl9df5/SAxymR\nBBEwSqBWWcqbBW8yQDmAU7WniM2JxcPZg+7ny7zJ09MxKpUY3K+8OLoo6hDFdYjsAPyQCP9CEFqu\nB/tPo7l75UbHqqGQ6COPkuE1gREZ05gUKGdiYMe+kLbluqSlpZGfn8/AAQOxrpNinytgly8hr68B\ntaOpjf2XX2GRkED5Ky9j8DAlzd5evZ1NVZt4y/stbKW2GHU6ktd9j7ZWg5XL/QRPsm707BINBtK3\nb6Q6Kx3vmKEUn4xHALpNuQ+ZVdur8LQFbb1I0XERVQXo/5RdRWphKuiirhYRDaa1yaxMZZetXQXs\n/aBn6jvYV5/mUP+vESVNq7wY9SL5cSI1uabfBSkE2+yli9tJsvo82fyCRAPRRx7HILXkWO9Fpk7X\nEYWmHIlRi9rKs8kxS1UxfeMeIcN9LLnd5jbbXxRFMneKVJSLxAXoeCzK8uJ+VQXU5IpUnAOHAPDq\nc+U+f9k1BhYdVaPSw//1tSTA4fLXaV2qlk3pOp7oZUFv92tTGWfo0KHHRFHs0xFjtWWFBwVBCBdF\nMakjJmwjMiASeEIUxThBEJYALwKvXmggiuLnmIQ9goODxdjYWPa8+ToauYyx02fSZehQTu7ZQKdD\nrzGebIrse2CYvAYfP1Oahsr4KMJ/ncs5f2+sjsbT45130EX15ez+PdhmFGE9eBCh54s/X3diY6nr\n2ZO8xx7D4+NPOKCUosNA3/QCXJX22Nw2FuWgwShjhyCxbNmct3v3boasWUeXH5azdcMq0o7sgyP7\nAJDKZNg4OqN0csY3rAcxU++5KQU7o1FHZuYSsrI/xcrKj7Du32BnF37ZPrt37yY2Nvbi7zqDkTnL\n47mt/hs6y4qZoX2ZSNvhPBfbNBL0ArtSSihpOMorEyOI7Xn5ah+GOi2Fu+Mp1eSwx+Eo/7trNfYW\nl3xYRKORnFmzKXIKokQIoudwHwbeYapveWzvMbZkbiGkKgSpUcrkyZPxOP+Fx5/O4eoYya5dHyCR\nfgu8TffQxbi4DO2gsW9u/nqv3DSo/qBL8ibGuo2gWAwiNraVPIntpC3Xxdvbmx9++AFfP1+CgoIw\nag0Uvn2EoAYXnO8wBZDpu3cn/bZx+G79Dd9vvkaQSHAsdWTTlk1YdLEg1t80R1hQF3546RlU5duJ\n6PYWjh6mMnii0cjWj9+jOiudYbMfodfo8RSlp7LqtflUxu9n8v+9cdEy0xHs+OY0qpJSukS64dxJ\nibO3Dc6dlFjbKRAEgV1/7CIssA9FGdUUpldTmF5FUa6GymQp7gonnIfez5BhTfO6VZeq2PrpSWoK\n6ul/Rxd8uzuTuDOHc4cHcrZmIAE2jkSM8sezy19835J+wlhbiPG2j4mNGd5h59lh1G/HL3kzXfp+\n0jjp8XnOHS3iTNkZ9lrpeOr2XsSGNH0p3f7VaXLOlDNo4ECksisX5kYOVlHZoKW7V+v+gzEDjWR8\ncoAfz6mZM3EAdpbNl1e8UWjLVRkIHBMEIUUQhJOCICQJgnDyGq8rD8gTRfFCHa2fMAl2LaKqqyUx\n6RjuWiMB425n33crOLxKzr6SBazQreaYxUfs3WdP3MYMTu/Lxzp0IpmxH+EXVAhaLRXLv8U3rCda\ntYrK+locp1/bIIfWUA4cgNdHSzlqIVIpERkS0Y/IH1cRuGc3XgsXYjdm9GWFuAsIgkDn+2Zy/8L3\nGJBTRl+jgth7HyRy3CQ6hYQiGg0cXreKk79vvQ5n1bGoVDkcO343WdnL8PKcSnTUxlaFuL9iNIo8\nvzaR3HMJPCLfDD2n49B9ON8ezKK6Bf8MgO8PZeOitGBMC6W3/kzVpgwMai3xpVsZPW1OIyEOoPLH\nldQdiSc16hGUjhZEj79kqp0TPgeZUUa3um4EBwdfEuI6GEGIIDpqI1aW3iSefIj09EWI4s0Xhm/m\nPCP/A5b2LFS/RUZ2dqtJVK8Ffn5+yGSyi2lIJAopymgPVKfK0FeaTGUyV1fcnn+Ohri4iybWUOdQ\nrGRWxBfHXxzLzT+AqIkzMOrSObx+I2DS2uz8ehnJ+3cz8O776TXa5Abh0SWIEQ89Rs6pk+z98dsO\nO5+6Sg1pR0sIHeTFiFmh9Brli2+oMzb2FhdfggWJgKuvLeGx3ox6sDsz3xrA3a9G42Jfw97qh1h7\neDSFaY1N3Tlnyln79lHqKjXc/nhPIkf74eKtZPjMUO5/UE1vm/Xkp5Sz/t1jrH/3GHlH0qnZsoWi\nNxeS+djrpKz3JO2R/6FOuQGruAx8CplB1WxSYa1az8F16dRZSyh3lTOka9MKOQBdo93R1OvJOX11\ngTteDlZtEuIAFDIJC8aHUl6v5UDqjR/40BZBbiwQBIziUuqR26/lokRRLAJyBUG4oBIZjsnM2iKH\nVy5HJxqJ6hODIAhUJeViRIJ3n2DsPDyoq9KQebKM+K1Z7F6RwvevHKK6IYbDMe9g46WmYvnXdOpk\n+pKs9HJHOWjQtTzFNlFsIaXYQsrQmXOIfHkBliEhV6w1U3brRvc33sQ5KRnPQ/EMmj6T2x5/lun/\neRe/Hr3YvfwryvNzO/gMrh2FRT8Td+R2GhoyCAtbSrdubyOT2bTe8U+Iosgbm8/wc0I+37mtQmqh\nhJFv8PjQIOo0er45mNlsv5zyBnallDAj2gdFK2+IquRyVImlnKw5QFknHWOiJjc6rs3OpmTxYvIG\nP0J1vYzB04MbFbkPdAzkOffnkOhNvnHXEisrX3r3XouX5zSyspdxImEmWu2N/xAz0wx2nnD3Cuz0\nZbwnfEBSzvX/O8rlcvz8/BrVXbXp7wUC1B0quLjPYepU7MaNo3TJEur2H0AukdPLrRdHixqnhBow\ndTJyq84k71tDeX4u+1Z+R+KOrURNmEz0pKmN2obFjiBi9DiO/bqBswc6JpgnaXceoijSc5hP643/\nhLOXDROd32B0wHrUGinrFx3n92/OUF+t4fi2bH5dmojS0YKpL/XBt7tzo7423QfSz24lM2+Lo3dg\nLeUpefzydTbbvjhF4cYdSMQGnCcMRKJUUvjSS4i6G8xB3yOccqdIOLzMFFH7J47/lk19lYZfJCqm\nRfu2GKXqE+qEpVJOSlzx9VjxRSL9HLFRSDmQfuM/A9siyNU2sxVctkfH8ASw4rz2LwJ4q6WGotFA\n4h/b6FRZi9+UaYhFSdSqPJEp6xg1O5zbn4jgrpejmf2/gfzro1imvtQHz0AH4jZmkHU4iN2956PX\nyqh4/i6UKi3VPl4IHaiOv1JO7tyG0smZiNEdk7bPdsQIXB79F//P3nvHR1G17//v2c1ms7vpvfdK\naAFCILSEXgUUlK6iIo8NKyKPPoLYCyoqIIIIghSx0DtRehKSEAgJ6b33vpst8/tjEYwkgIro5/vz\ner32Fdidc+bM7OzMfe5z3ddV//331H7zDQCCRMLox57BRC5n3yfvo9f9w24Ev4FO18ilS8+Smvoc\nFuYhRPTdi5Pj2D/U18qfsll/Ko+PQtJxr0+A4UvA3IEurpaM7OLElydzO6xc2hSbj0QQmBHhdcP+\nDWodtT9mUSGtJKs6lrtnLmj3uajXU/LSYmptgsiSdKHLQFd8urfnZLa2tlKcUoyfnx9ubn+9xbFU\nKick5C1Cgt+hvj6RuLi7qKs7d/OG/+KfB/c+qEctJ1KaiumRl/+WIfj7+1NVVUXdlSp8E2s5iq72\nNMeVYdAYs4SCIOCy7DXk/v6UPP882uJi+jj1Iasui1r1tYIviVRK8MDZIJqw7dUXid+5gx4jxjBo\nxgMdTnCj5jyMW3AXDq5e0alIemZ8OZfPlN70ONrUOi6dKMY3zAFL+1v0LP0FRfEI1en4D+/LjCX9\n6D3ai8yEcja+dJozP2Tj18uRexb2wcqhAz6fwhpce9FycA9WaxcRrf6BUI9Gqt36ENt7MSWDp2P1\n8ic4v/oq6tRUqr744vo+/mYUetwNzZVw/pur79VVtJB0pACdh4IymYFufnUsOb2E3dm70fym6Eoq\nlRDQx4m8i1VoWnV3bNwyqYS+Praczr6zEj5/BLcSyCUClUAGkHnl37mCICQKgvDHXeRvAlEUz4ui\n2EcUxe6iKE4SRbHTunNtcxOiwUComSXywADKjm2kVu+B3L+DB63OgKq6lRGT/bhnYW8cPC1obAzi\nVP9lXK7qi22Lmoqm+r89oKmvKCcvOZGu0SNvK8fD/oknMI+Kovytt2mJN854zW1sGfnok1TkZnNq\n++bbtq/bjdraWGLjJlBesQdfn6fp1WszZmY35qd1hm9iC3jvYDozulsysXylsWS+1/1XP39qWAAN\nah0bT+e1a6fW6tl+rpBRoU5XNYs6Q/3BPPT1Gs5U7kHh6URgt/aacTUbNtJw4TKXuz2EtaOSgVMD\nrusjJiaGlpYWhg27s/wXV9cp9Om9A4lUTmLSTAoK1/8rIPx/EKqI2Xwnn0T3ku2QsOGO79/f3x+g\nncuD+UA3RLWelsRrGRaJUon7JysQdTqKFjxNuE0PABLKE9r15xvmjYlyJK2NDQQPGMKwuf/pdJVC\naiJjwjMvYaZSseuDN2htuuY3rNXoOfpVKofWXeLoxjTKcxtueByXz5ShadHRc7hn5xvp2hAMWqPM\nyK+RuBFkKgidjEwupd8kP6a/EoFfLwcGTPFn5MOhyOSd3+ObtcGU7K9G2TsM33WfE/Xficx6yIC/\n/ASJ1cPYtCSeYotuWI4bR9XKVajT7qyd1s1QZ90V3PrA6RVGsWDg1I4spFIJO/TV+AQf5OnjD7Ez\nayeLTy5m6PahvBP3Dtl11zK5gRFO6LUGcpLurPpCpJ89OZXN7XTo/om4lUDuADBWFEV7URTtMC61\nbgceA1b+lYO7VejUarwq63AeMxZBp6bhUjoAYf28222nKWig/OMkardnUPFxIuKODAb7WjJpZhCW\nDgoyA+6lxWkQurY2SrP+Xr7BxWOHEBDo1gEx9vegtqyZuN05fLPkLGufO872t85xIfQRsrvP5tSy\nbWQcS6ehupWA8P50GzaK+F3fUXjpr6ZA/j6oNWWkXHqaxCSjiGavXlvw8XkS4Q9WaFW0GHhlZwrR\nQQ4sM9+B0FoL4z9sp4Te1c2KocGOrD2ZS5Pm2ixwV3IJdS1aZv/m2rpuzBm1NJ0p5SfTk6jrKxg2\n9cF2DxxNdjYVH31E1sAFqLVSRsztct3NvLS0lPj4eMLDw3F1/WMB65+BhUUXwvvsxN4umszM10m5\n9BQ6XePNG/6LfxQudXmWk2J3xL3PQf6ZO7pve3t7rKys2gVyck9LTD0saDpVgmi4Njkw9fbG9Z23\nUaek4LB6J2ZSs3Y8OQD3IBukcj/CJ7/KmCeeRfjVb7amtJnT32WRcrwY7RWbJZW1DROeXUxTTTW7\nP3gTXVsbNaXN7HjnHJdjy+g92guVlZyYTWno9R0L7xoMIslHC3DyscTZtxOO1bn18JY7Q45Pgdds\nYYk1LHOAN1whaRN0nWy0uroCayclIx/uSs/hnjeky6jT0ylaexq5hQ73Z+5GIpcDYJ70AcM9v2Pq\nwp5YOyo4tjEN5RMvILWxpmTRS4htv184uenECfIfeJDyt99B33gbf+eCAAOfNrpapO0kP6WavAtV\nNIbUUeP2BpX8zMyQmRyfdpy1I9cS6RrJ1vStTNo5ifv338/u7N3Ye6qwdFDc8eXVSH/jUvfpf/jy\n6q0Ecn1EUTz4y39EUTwEDBZF8Swg/8tG9jvhV16L1dixkLqTylYfDIKBkC5GGQVRL1J/JI+KVck0\nqOvZ2O0Q2lFWyByVNJ0pQdybwxClBQPNG2kzNxpI5J498bcdi16nIyXmED5hvbG075gAeiM01qhJ\nPJhP9kED3yyJJX5fHkpLUwJ6O6GyktNQq6XYLpwM17Ec3l7M5v+d5fyRAqJmPYyNswv7PluOuqnp\nLziy3weDoY28/M85e3YElZUH8fF+in4R+7G2+nOJ4IN5WiQCfNC/DWniBqM5tPP1RRLKmWAfAAAg\nAElEQVRPDvWnrkXL12eM3qSiKPL1mXwCnczp59u5zVdLcgVVGy5RqqgitzwWK2cX/PpcM7UXdTpK\nFr1EmftASnEnYqIvjl6Wvzl2A/v27UOhUDB06K1r4d1uyGSWdOu2Cn+/F6msPEj8uck0NaX/beP5\nF78f4b6OPKZ5Ao25O2yfDXV3jgsrCAJ+fn7k5uai11/LVJkPdENX1Yo6vb0unMWwYdg9+igN333P\nrCzn63hyZuYyHD0tqCqSIJFIEUWRoss17Pk0mS1LYzl/pICfv0lnw0unOPNDNk21alwDgxk1fwGF\nqRfZuuQ1tr8VR2tjG3c92ZN+k/wYPC2Q6uJmzh8u6PAY8pKraKhSd5yNM+iNbgZ7ngavSHJ8ZkPU\nYhj8PPR7DPo8CP0fh8ELr2vaePQozadPd5rp1paWUjjvUSTmFngMbUZaEXdlQKeg4DQMWICjry1R\ns4wCwKXFelyWLkWTnk7V6tWdfie/hSY7m4J58yh8ZB5t2dnUbNhA9pix1P344+1zBgoaB3YB6I+v\nIGZrKhrzBjbKX8XEYMM3Y7/hxb4vYmFqQYRLBO8NeY+jU4/yXO/nqFZXs/jkYlYmrySorxPFGbU0\n1d45vcsQZ0uslbJ//PLqrciP1AiC8CKw9cr/7wNqBWM65B/h/6TSi1gGh2Dq7Y1h3Xzy2u5FbyNH\nlBpIuByPsKsSxxorYizj+Nx1B3pB5GRtAlumb8GWINQZtagvVWOXYqCHqo2TjfYkHT1H2F2tmNv+\nTj7EDaBpaaG2pAhn/8AbbpeTGEdzXS3dh4++aZ+iKNJYraYst57ynAbKcuqpyDfOphS2MHBqAP69\nHVFZy69rV7X/GDmvvktxxIOc2iFSmFbD0AcX8MM7izmy9jPGLVj4t0mSVFcfJyPzNVpacrG3H05g\nwH9RKG6wrHGLqG1u40SRjrt7OmMbswAsXCD6pQ63DfO0YXCgA2tP5DDJz4HzCeVYZDczwcuOg2tS\naGlso7VRi6mZlJBIFwLCnWiLL6d+fy41ji28qf+QQXWW9J03BYnkWrateu06arLKyIh8FDc/a3qO\nuP64kpOTKSwsZOLEiSgUt+8a/CMQBAEvr3lYWvYg5dJTxJ+7h+Dg13FxnvS3jutf3Br6+tjSgDnf\nB77HjAsPwtYZ8PARo8DrHYC/vz+JiYkUFRXh5WWkuyi62iG1MqXpVAmKkPYEf4ennkR98SLDv4sl\nxgzqRtZhbXZNusI9xJbzhwpIPVXCxZ+KqCpsQmEhI3y8D92GuFFb1kLysUKSDuWTdLgA/14OdI0K\nw6PrJApTfsTcHqYu+i8Wdgr0TU14+ZjiG+ZA/N48/Ho5Yu3Ynqt2/mgBFnZm+Pb8jaZoWzN8Pw8u\n76G521zSzYZQrtHhG3Vz2aqGg4coXmDkzJr6+WE7ayZWd92FRGUs2NI3NFA4bx6G5ma8Nm9CFvfS\nNWHg4++BysFoxwbYuqhQWcspSK2hy7yhWE2cSNXnazAfOgxF19BOx6Cvq6Py08+o3bIFiUKB48KF\n2MyaiSY9g7LXl1G66CXqtm7D6ZWXUYR23I9Wo0evM2Cmuok8h0SCLvJJ1n5/Dn21lhOh39NaMZ75\nvWbS1eF6L3NbM1se6PoA94fez+KTi/nq0leMiBwHe428xrCRf/5ZcCuQSAT6+9pxJrsaURT/sRJd\nt5KRmwG4Az9eeXleeU8K3PvXDe3WYaJpw3LsWKjMQJefRJ3OEzNPLf/7/FksNtajqjNlT7c4bO4L\nZP+Mg6wevprS5lJePPEiokxA2c0B22nBWI32xlVjgqutP9q2Sna8fpS68pZO93uhqI7UkhtzK36B\ntk3Dd2+8wub/Pkth6o0l+S4cOYC5rR0+PTvWChQNRvXvvSsvsH7hSb5++QyH16WSeqoEE1MpEXf5\nMmtZP3xHSugxzOO6IA6MD2eHscPwvf8ugo8spZdLKcUZdRzbVEOXwZNJP3OCtBMxt3RstwuiqKey\n8ghJSXM4n/ygsUKsxzp6dP/8tgRxAJvO5tNmgOesj0P5RRjzdrslj99iwTB/qpva+H7FeXIOFDJA\nLUNS2EJNaTOCIGDnZo7BIPLzlgzi/3eG+v254GfJMy7v0KvUAZW1DV0GXdNkU6elUb5yFZf7LUAq\nlzHsgS7XebO2trZy+PBhPDw86NGjx2057tsBG5sI+obvxtKiK6mpz5GauvDfpdb/A7AzlxPoZM6B\nCiuYtBLKLsCFbXds/76+vgiC0G55VZBKUPV3RZNVh7asvVGQIJXi+sH7CLY2LNytIv6N56jfsxd1\naiqGlhY8QmwxGERivr6MXmsgelYwc96IpO94HxQWprgGWDPm0W7MWtafHkPdyU+p5of3E6ks9sU9\ndDRNVec5s+ptChc8TWbkALLHjiMi3ASpVODnb9LbZcjKcxsozaqnx1APJFIJtVu3kj1+PG1pibB+\nLOLlfVx0f5z1e0uI2biW1G1fseuDN2/oLKHOyKDkpZcw69Edl7feQmJmRtnS18iMiqb8rbfRZGVR\n9PgTaPLycf/0E8yCgox2XVXpRiP6nBiIfBJkxgmeIAh4dLGl6HINBoOI0+KXMLGzo/SlRRh+s8Qq\niiKa3Fyq139F1qjR1H7zDdZTp+B36CB2cx9EYmqKoltXvLdsweXNN2krLCRvylRKlyy5zjZS3aRl\n+5vxbH0tlub6G2fJsuuyeSw1AW31XTTanaen33x0df2Z3tf7hu0EQeDZ3s8ik8hYmf8RTj6WpMeV\n3bDN70FLQz2ntm9m74r3qC7qOFMd6W9PcV0r+dWdxwJ/N26akRNFsQpjBWlH+Ot9UG4RlmNGQ+Jn\nlOqCEZCgbUlmcHUEOgcTPGaGMd9x5NVtezr25KW+L7Hs7DI+O/8ZT/Uyqmab93elJaGcvtWD2V2V\niLqxgO/fjWPCAmNRxC8wGERW/ZzNB4eMS0xz+nvz3MhALDoRDRRFkUOrV1CalY7C0opDq1cw591P\nkHWgA1dfUUbehST63zOtwyIHvd7A0a/SyIwvx9pJiVeoHU6+Vjj5WGLnqkIi/X2CifaPP4a2qAhh\ny+uMXvQmZwpcyUxyx8Lel6PrVuEW3AUrx79Gu+wXaLW1lJRsp6h4M2p1MXK5M/7+i/Bwn4NEcvuy\nBmqtng1n8hhmV4PjufchYCSE3NjSpreXLSOdpJChI8b9CF26TOO1u7u320av0VG2/hJiXgPZbQZS\nEqoZZDoOVXkM3lETqCxsRWGuQ6+p59L/XiU3fBINWDBmZjAWttdfA8eOHaO1tZWxY8cikfxxAcy/\nAnK5I2Fhm66KMNfWnaVLyHvY2ETcvPG/+NsQ4WPHd4lFaOeMQ+bSA06tgJ6z2vFC/yqYmZnh4eFB\nVlZWu6Id877ONB4toPFkMbZT2q9SGJpMsJ34LpYVOlrOrqXk2+evfiZxcSXIfwJug0IJmtm303ue\npb2CAVMCCB/vQ1ZCBWYNJSjiaznTqObixQTa6lroM2UKjYcPU/XEw/R55lNOH60lPbaM4H5Gp4Lz\nRwuMGfcBLlR/uZ6Kd98FoOypmZj3U3O4bSpFhy/gHtKVQTPuJ+bH7yhISSYz7jTePXoRMfle3EOu\nGSPp6+speuJJJCol7itWIHNywmrSRFrPn6d202ZqNm+mZoOxKMX1vfdQ9bsi5Ow7xPh352NgZg19\n5rY7Vs8QWy6fLqUivwFnHytcXl9G4bxHqfxgOaqBA2hNvkBrcjLqCxfQ19cDoIrsj+OLizALun6F\nSJBIsL57MhbDh1H56afUbv4G9aVUvDdvQjA1RafVs2/VBRqr1QgCHPwihYlPh10n2Ksz6Dhcf5gj\nP8Rwd/KzmCo0PCJ9jwcSX2docHdcrIzBaF15GcfWryZi0r24Bbd31HFQOjC/x3yWJyxnaOAUyg/q\nqS5uws7tjzuu1JWXkbD3B1JijqBr0yCTm5EZe4p+90wn/K57kJpcC40i/X7hyVXjbf/7JK46QnVx\nIRlnTv7pfn6NmwZygtGvZyEQClx96oii+PcRd34Dg6UFMkc7SN5CvG4uIiKm9XBWlkmRRSvTVdc/\nZO4NupfU6lS+uPgFIXYhjPAagSAVsJ7sj3ZlMqE2A1GL26nSPMmPyxMZ90QPXP2tqW1u49nt54lJ\nr2RCD1esFTI2nMnjQEoZS+4KZXTX64Oe2O+3cfnUzwycNgfXwGC2v7aYk1s3Ev3A9bYlvxQ5dI0e\ned1n2jY9B79IIf9iNf0m+dJrlNefTvX+Uvqvq6yk+b1XGPPJZ1wo9+DCsaFo275mz8fvM/21d25r\n5SwYg9uGhmSKS7ZQXr4bg0GDjXU/Avz/i739MCSS22+L8kNSMdVNapbKPze+MfZ9IxH3BihrLsOu\nNodWE3ey3PZzl18EcC2Q0zdrqd5wCbGwEesJvoT3sGP7F6/jnViMTmnLhQw9SXmb0MoaMZioIdR4\nkzKVJtIic0YUHdp9hyUlJcTHx9O3b19cXK63vfknQCIxwc/vOezto7mU+jyJSTPx9JiLr+9zSKX/\nGNrsv/gVInxt+fpsPiklDYQNWAA75kL6vht6Cd9O+Pn5ERMT087aS6KUoezlSHNCOVajvZGam6Kr\nUVN/MI/W5EokKhk6ewmSPrNJm9ebaIsg2vJy0eTk4J20D+2Jzyk81AfHRYs6XUI0qNU079qF2ddf\no8nMos3UlPDoaKQWMtIz03Dv15uQ2bMomHM/Zh8+ifWQpzm2/luyYrU019VSliPFq3sQeSveR/vl\nBqwGh2PadJLYIieysxwwUdQz8tGn6Bo1HEEiwa3vQKY88SznD+0lYe+PbFuyCLfgLox+7Fms7B0o\nfv4FtKWleG3YgOyKtZ4gCCjDwlCGheG4cCEx772BYK4iZMKvvhunbkauTGuNkYP3m1UE9xAbEKAw\ntQZnHyvMBw/Gaso91GzYYAwMBQG5vz8WI0eg6NEDRY8emPr7X/f8UDc3IVeqrr4vtbTEefFilL37\nULxgAZWffILDM89yZH0apTn1jHq4K6JB5NC6S5zakcXgadeCwpz6HF45+QoX6i4wveI5LDS2THjM\nD9Pv24hSHyOgr/H4RFHk2JeryD2fQEFKMmMef46g/gPbjWtWyCy+y/yOTZrPGCaZT0ZcOf0n//5A\nrjw3m/hd35Fx5iSCREKXwdH0mXA3Zipzjn21hlPbvibjzAlGzl+As59RRcDXXoWTpZzT2VXMiLi2\nMiSKIi31dVQXFVJTUkRNcSG1ZSVITUxQWFihtLJCaWmN0tISMwtLyrMzST97kqqCvN897pvhVp6W\nm4FtGIWA5wP3Y5Qg+cdAb2MDl/dCSzUZLaHYWFRRTgMu1o6UlZWxbt06Zs6ciZ1dey7G4ojFZNZl\n8t+T/8Xb0psAmwDknpaoIpwJjO3N/po8Ztq8wI+tH7Nv5QW6zArghUNpVDSqeW1iKMHSCqqry+g/\nzpnP4uqYvymB4SFOLJ0Yipu1caaRcfYkp7ZvImRQNH0nTUUQBHqMHEfigd0E9hvYbvZhLHI4fKXI\nob3fpaZFy96VFyjNridqZhChg26fppggk+H28cfkz55N2fPPEr5hA+4hA9j7SQllWfs4+8M2IqfM\n+NP7EUWRpqY0yiv2Ul6+F7W6EKlUiYvLFNzdZmFufmPu4J+BwSDyxYkcFtqdxL35Ikz4GGxurANX\n2lTKf3Y9ybCqRyl0asVU4sj2nC+Y3m0ssiteiXU/ZNJW0ozdzBAUXe05mn+UqrpjuJuHoHHyAgox\nV1pgq5Ehy6rE2rc7ysBA8usv8P3335OQkMCYMWNwdnbGYDCwd+9eVCoV0dH/fIssK6te9A3fTVb2\n2xQUrqO65gShXT7AwqJzj9p/8fcgwsd474vNrSFs4ESw9oJTH0HwuJtOZm4H/P39iYmJIScnh+7d\nr02EzAe40RxbRuPxIkCg6VQxCAIW0R5YDHFHbDOQ+f5PuKS4I30hEvvRowBjwVDdjh1UrviEvClT\nsJo4EYdnnkZ2xflEW1FB7TffULd1G/q6OuQhITi/thTL0aORWlriqtOxa/mbHP1yFeVRI6gZ0Ivy\n7Ez0OV8BkH3OHFOlFTp1GdlxCWQDkh5+2GlL0coCqHOR4dqsZty7n2Lp0Z72IVcqiZg0lV5jJnDx\n2GFObt3Iic3riRDlNJ84gfOSJSh7hXV4nppFPSlFuYiiAdefjxI65EoGUyIBv6GQeQgirk8AKMxN\ncfS0oDC1hvBxRmcY55dewqxLF+S+vph17Yr0Jt642efOcnHNXqxD3Yla8Gi7zyxHjaT53nupXruO\nVNNwsi/piLzHH//exmK88vwGko8UorGto8Ijk4tVFzmcdxiFTMGDbQuQ53rSe6w3rt28SNwXzj3i\nKWz8ba/sN5bc8wn0u2caBSkX2PPR2zRUzaXP+MlXA0qZVMbC8IU8fvRxRni0khFXRr+JvgidiAh3\nhJ82riVh74+YKhT0Hj+JXmPvwsL2Gu9xwtMvkjVgCEfXreSb/z5H7/GTiJw6A6mJjMFOkJ4UT6wy\nh9pSY9BWU1KEpvkaLcBUocDGxQ2DXk9ZdiatDfUY9O2laFyDuhD9wDwCIiJ5fvvt87S+lUDOThTF\ndYIgLBBF8WfgZ0EQbo9U9u1E4gYazdxR6i0wMUvHgMjd06ag1mrYsmULa9euZfr06Xh6XvvRmUpN\n+TDqQ+7bcx8LYhawZdwWrORWWI3ypuFcERGqAawwzcDJ/H+0lbzDz2tTUbgKfDs/EitdLRs27Lva\nV19BINLBlgvZxXy0fDcPeFVi328u+z/7EJfAYEbOe/LqRTl45gPkJsVzcPXHzH53BTJTYxYjJ6Hj\nIofmeg27P0mmtrSZkQ+FEtDnj5ukdwapuQqPz1eTP206hfPn4711C4OmjydmQw5nd2zFu3svXAOD\n/1Dfzc05lJfvprxiDy0tOQiCFBubSHx8nsDRYRQmJp1z1G4Xjl2uQF+VzSPKDVTb9sLuV5pxHaG4\nqZiHDj6ER0EYElHKovnDGK2xYMFPT/F9xvfcF3wf2qpWWi9VYxHlgaKrPaIosvn0F/TOtEES7IGF\nrT0PPvggQnoG+XPmYB41BPf/zUEQBAyGCJKSkjhy5Aiff/45ffv2xcrKiuLiYiZPnvy3FzjcKkxM\nVAQHLcPefhhpaS8Rf+5uvLwexdvrUaTS22tY/i/+OBws5Pg5qDibU838IX5GjtW+56HgDHhF/uX7\nd3FxQalUkpWV1S6QkzkqkQfa0HS8GARQhjliOcobE6srmV0zECfZ47RdTurG4/T5z1gEQUAwMcFm\n2jQsx42jes0aar7aQMPBg9jOmYO2rJSG/QdAp8N86FBs75+DMjy8XfZJamLC+KdfZNf7b5B24hiO\nPn50HRSNyZ791Kn6UGQ9EkEmxd+1DJdjb6IfOgStspjKslo09t2IjBwO/32V5nVfYrlkSYfHLJOb\n0WvMBJrraoj78Vtc0gpwu/debKbd1+l5OrfnR3rYRiG3UnF03SpcAoKxdb0yaR/zLkQtAoVNh209\nutiSeLAATasOucIEiUqF7Yxbm4CnnoghfcNhwu3HoC/RkbHhGAFzotudM6eXFpGWriftko7Qfvb0\nHO5BWnUaP2T9wEXTFHythqD7wZsfu25CcNAw2mc0j/o9zr63LmPnbUmfcd4kFdSytqEvK2VnIP84\nWo8BxGxYg527J/3unkbEpHvZ/9lyjm/6kobKcqIfmHe1UGyw+2AGuw/mp9pdDMq/j5KsOtwCOz4X\nv0XaiRgS9v6IW/BAJjz3GCpLyw638w/vh3uXrhzfvJ5zu78nJeYwWnUrzjodzsDJAqOkja2bB8ED\norB1dcfOzQNbd3fMbezanS9RFNE0N9PSUEdLfR1Wjs5Y2Nl3uN8/i1sJ5H5Rxi0VBGEcRlcH979k\nNH8QEoMWcn7iiPIZVIhUSerwtXHHwdk4W3jooYfYvHkzGzZs4O677yb0VxU4jkpHlkctZ+7Bubx4\n4kUm+k0kqSIJC5tmJutHIwoBfORcjKdyOaPSXmCuQYWfhYy163/E1taWRx55hPLycnJzc40l9s1F\nGAwC+wpUmJ55B4WZCROfXYyJqSn1lS1U5Dfi18uRkfOeYscbL3N6+2aGzDLyHS4cvb7IoaGqlZ0f\nn6elXsO4x7obLVwMBuNs2s4PgseD5PYse8ocHfH4Yg2506eTOHMyS+eY8WCfZRSdLWH3h+/y4PJP\nMVXc2sNZr2+lomIfxSXbqK9PAASsrfvi4fEgjg6jMDW1u2kftxNfHM9khdkXSGWmpAc9QeQNshCF\njYU8dPAhWtpaiKgbhUOwFbbOKqLFKHo59mJV8iom+E1Ac7IEJALmkUaNt8SyBOx/rkIqt6YZCd0D\nA5FrNOQ+8wwyFxdc33zz6g9dIpHQu3dvQkJCiImJIS4uDlEU8fT0bPeg+78Ce7so+kXsIyNjGXl5\nn1JaugN/vxdxcprwj630+v8b+vnasfN8CTq9AZOeM+Gnt+DUx3ckkJNIJPj5+ZGZmYlGo0Euv7YE\nbzXamyZzGeYD3TB1vT5rFNKrF18nfkJ0Vk9qTuZhN+iaF7HUwgLH557D+r77qFy+nOo1a5AoldhM\nm4bt7FmYenZeJCUzlXPP4tcwGPRXgwXNhHvIfeAhaq170yLY4xy7Hq9p03EcZo+wbyPMXQYDjJzq\n8stZ1GzYgNVdEzvNsAGEBoZyzrCd/BA/er383063a2mopym+hD42RlpNhjyBvR+/y/TX38dEJgOV\nnfHVCTy72JKwP5/iy7X4ht16tifp4B7iv97OKPcHMfEyp7YoF5s0B0rXJuA8uyeSK5aBeelNXLYd\nin3VRXzPplM4eREPHXoInUFHqF0odhPUmO0yYU7RYu6b3ReFuSk7P05Cr4eiQAWjPj5BVkUTdvJw\nDHIrJBe2EZdYSkNlBfe++tZVXtr4BQs57uDIud3f01BVyfinFl7lky8MX8iUwnsZYHIPGXHltxTI\nVRcVcPDzT5HI3Kkq68PeT9MZdn9Ipxw7M5U5I+c9SXDkEC4eM7orSWycef5wKY9M6MfDwzqvBP41\nBEHAzNwcM3NzbF3/2pBJuqST2cQvWLp0adnSpUvLgbPA68BU4KUlS5b8Y8Sk1ixftmR+GHzUfC++\nsjYqTSsZP2Y8ts7Gi16pVNK1a1fy8/M5c+YMMpkMDw+Pqw8YF5ULtma2bErbxOH8w2TXZSO4KQnJ\ntKMv4ShVllxQnKLJuhKH3FCS0k9R11rJjBkzsLOzw9raGh8fH8LCwuhfvxuXkoMk6wJotXYmSFlA\nYPlezmX4c2hjDlnnKsi/WE1AeAAYmjl/cC/ePXph0Os49tUaeo+biGfXHhgMIhlx5RxadwmtWs9d\nT/XELejKRZu8leb9/0N6aQeSizuMMgIOwSBtH5fn5eXh7e19y+dRFEX21BznC04w+GwTQflaNvVL\no5t6Kg1lZ6mvqCawX/8b9tHQmEJu3qekpr5ARcVetAYZcZVjyW57miG9HsPdsdcdz9ScL6yj/thH\n3Cs5hjBhBdlax07PS0FDAXMPzqVV38pbnp9QEtdK/8n+2LoaeSM+Vj5svrwZc60Cz5+UmNi10nr2\nBxAE1u7/DPtsHaGTplFYXknU4MG0vLqEtuxsPNetxdT9+h+zTCYjMDCQoKAg9Ho9I0aMQKX684Ta\n34vfe610BKlUgaPjKGxtBlBXf46i4q+pqTmBuXkwcvntzyLfCdyO8/JPQXObnp3nSxjexQknGwvQ\nqiFhPXSZZJSz+B34I+fF0tKSuLg4pFIpPj6/DsZMUYTaI7Uw7bSt1EPJ+YtxOKaZYRZgcy1j98vn\nlpZYjhqF1cSJ2P9nPpbDhyO1ujWDdEG4RtA3sbHBImow0k0foqrIIGjqQBxnjUb49n7wi27Hq1X2\nCqN+925aTp/GeuoUBKn0uvPSEh9PxcJFtAoihUoZ3UeMwbSTbPv57bvxqw9B6qyAVgNeoT05l7gL\nnUaNd4+ba2cqreQkHy3ERC7Fu9vNMz+iKBL7w3ZObtrACN8HMFNY4PRId8z7u5F0eA+2jQ60XqhC\n7mNFVbWafSsvYO9hQVRYM/Wbv+aHyiOkOxv4dsK3zAmdQ3/PfngG2pMSU0JRdj2HEoppudzAfrM2\n9lbUEuhkwaODfXl1Ug/MW4qpS9zDvrN1BPUfRJ/xk3/1fQh4dw9DaWlF0v7d5CUn4t+3PzK5GdZy\na5r1TWTnFSHJs6LnMM8bFvi1qVvZvvRl1E0abNxnMHhaN3KSKrgQU4RUKsHJ14qWuHiqVq9CERaG\n5FffjZWjE4ERA/DuHoZXYACbL9bTohe4q+ftoTUtXbq0dMmSJWtuR183LVkSRXGPKIr1oiimiKIY\nLYpib1EUd92Ond8uyLSNNHpEYaXTUmFWiIOpDb7d29sdqVQq5syZQ2hoKIcPHyYpKand51MDp/L5\n8M/ZNn4bp6ef5osJX1JonoXUIGWOzb2sFFzJUCWS6X+U6rYC3CyDcP/tg7kyA9OkLynWB6PKSaVa\np+ScSW+WZ0UQ+3MFfu7VRM8MoLlOw7dvn8NEMRiVjS0HVn1E0oE9xiKHqBFkJVSw9bVYjqxPpVE0\nED43+JqiuLqBwgMrWM481lgtokjiBrsXwMfd4eSHoK7/Q+ewsKGQRw4/wiunXoHuIShfX4xvqYEH\nvsrmUo+zyFQRpJ8+xuUOqm1EUaSy6ihx8ZOIj59IaekObGyHkaJ+i7n7nmNHehRbElqJfu8nXtud\nSnXTnRN0BNh1JIYXZNvRBYyB7p0va9Rr6nn40MO06dtYN3IdDeclKC1N8fmVflRPx54M8xyG7nA+\n6AzUf/MmNV9/zeX//Ae7s9VYSUFdUYOJiQnKgwdpPnUKp5f/i1mXG/PGXFxcmDRpEvb2f03q/U7C\n2roP4X1+ICT4HVrVhcSfm0xq6gtoNHdWlf1ftEc/HyMn6WzOFXHTvo+ATGmsYL0DcHd3p0uXLpw+\nfZqm3yk43tWhG2f6ZFFpUkPV5lT0zR1bKJp6eCC1+HNUDbmPD103rKDv/2bh+Ghf6CcAACAASURB\nVPgjCN89ZPQ8nbS6XZWvRKXC+ZVX0GRmUv3l+nZ9aMsrKH5hIfmz5yAiMvCFxYh6A4n7O350trW0\nokw2QZSC80M9UYY5YpIPvYdNJGHvTnKS4jts92tITSS4BdlQmHpz8VpRFPl505ec2vY1Ud1motJb\nYHtPIFIrOeY2tgTPH8VPZVtprW+gYuV5Ln5+AaWljHGPdcf+/pkUdXNi5J4y3nN7Ag8Lj6v9OnpZ\nMmRGIBVZ9ZimNlJtLaV3Tymxi4ezZV4/Zvf3xtHCDLH7NI4VuSERxKsrUr9Fz1HjmPjCf6kuzGf/\nZ8uvysLM6z6PCrcs9GqRnPOd0/VFUeTg6k+oKyvGzHo8dy0YQEikC9P/F4F3N3vO/JDN92/FkrFw\nGfU7viPv3vvQZGd32l9/P3tic2rQdeIA8nvQHBf3p/v4NToN5ARBWHGj120dxZ+EIOpYqwwhyGBJ\no6SVfr0jOlzOkclk3HPPPXh7e3PgwAFqa6/ZtwqCQKRbJF3sumBypWLSvqsvl+tjaUmqwC/kbd4u\nb0TerEeUSlCn2xO76zdGzEdepUpvy8WsBroNGU0/62FY1AWhlmlodjqLt/p1ulyazoxnPeg2xJ3U\n01VgMpSa4kIS9v6Ik1839q/J4+AXKdS2tLHfUstyoZEZ2xPZnVwCQMORd9mmHoC5uYoWg4y1Vb3Z\nF/Q+avuucGQJLA81/m2+NUuRNn0bX6V8xd277ialKoVX+r3C+tHrCZg8G4+PP8a3QsKINQcRB1gj\nSJ048NkKGquv9V1Tc5pzCVO4cGEeOl0DgYGvInPdwxP7x/PhcRUzI7yIeX4IMS9EMSnMla9O5zL4\n3RiWH0rv0JD+Rrj081EOrl6BVn3rvncFlQ1MzH0NvYkSk4krOiV2i6LIsrPLqGyp5LNhn+EiepKX\nUk3IABekv5rxGTQaHouzZ0z1ANoqL+K06HECYs9yIsIPg0SkT0ENWVnZOBQVUffZSqwm3oX11Km/\n6zj/X4AgSHB1nUL/fkfw8nyUsvI9nD4TTXrGa/8GdH8THC3N8LVXEZtzxU1BaWsUlb24HeqL78gY\nhg0bhk6n4+effz/N+qHwR1jmugZdo4aabemIWv3NG90MDSVQcPY6f1SZmxvKqGg4sAiqMmDy57TI\nVaxPWc+zPz1Li9aoKWYxNBqLkSOpWrmStoIC0Oup/nI9OWPG0HjgALaPPobF+Hcxa/IkMGIgyYf2\noWlpvm4Y+etPY2Vij0m0DVJLORZD3EFvoIf7UBy8fDjw2Yc01dZc1+638OxiS0OVmrqKzjXPRIOB\nw2s+IWHPD0QOvA+HJhdU/VxQhF5btvXo0o2gSdHszf2cemkzwYhEB1mjtDRlW8Y2lkRXgbkSp3c3\nY2htbdf/ZYWBOLkWiZWMhS9HEu0lw8GifQY1uwJym22J9NVjbtv5crFf7wgGz55L3vkEkg7sAUAl\nUzFj+ETq5ZUc/uoSiQfzMXQQXCUf2k/GmeOYKCIZ9/i4q0upCgtTRs/ryvAHQ6gpqONs4ONUP/IB\ndaI1OdNm0nSiY2mQSD87GjU6Um5RO7YzNBw4QPb8p/9UH79Fp0urS5cu3YlRbuQskA6U/vq1ZMmS\n5Ns6kj+Bz5e/uaQk3BM/tSWCBCbdP6XTdKsgCHh7exMfH09xcTE9evTolMMjiiInDn1NiMcA1JcN\npJlZUq8ROOJyFG9lANVxItXFTeQmV5H58yXSU3ScrbZDp9fQWD8UXTMou3uwsUJKkKWWC1pvaloM\nVCTvB3dbzP3k1DZpaEWCwUSHtqEbosyWBCsDqXo10xytWOxoiyjAG3F5GMovk5VynnqJLffPfYRB\ngwbR1tZG3IXLJOv9Kew5gpWyIrZXxHLy/DoKmpLI1ddRl1WN5ucKyi7ncUR/gp15u9iUuonPzn/G\n8oTlnC45zSD3QawctpIIl2tBsNzXF2W37hi+34ciNZa2wbNpKU4h/2Iq3uF2pF5eSG6eMaYPCFiM\nq9dSlv9kyrK92dip5Hw+qzdz+nsjN5FiaSZjRBdnxnV3pbS+lU2xBWyJK8DJUk6IS8fE01+gbdNw\n5IuVnP52MxV52ZTlZBLYb6BREqWxHGJXw09vG5XPyy9BfZFRdV1qyrntb9G/+QjNoz/BzMcoQ5OX\nl4dSqUQikSCTGatPd+fsZs2FNTwR9gRjfMdw/kghJVl1DH+gC3KlcZvm06cpnD8fIU+CzD2cN323\n0G/qw1w4eojihGTaRgUw7NXVnEhOpoeNLe6enrgsWYLEtPMlo38K/qolRIlEjq3tAJyd70Krq6e0\ndDtFRRtpa6vCXBV0Rwpd/gz+X1paBbhc1kDM5UpMTSTsTynlaJU1g2u+Y/u5Qu47omD1T9msO5nL\nV6fz+PpsPt/EFrAjoQhvOxUettcoEX/0vCiVSpqamkhMTKRr164olbdOs3BQOnC6IZZUdTo9c31o\n/KmQlvOVqLPr0JY3Y7iSpZOoZLfGyxRF2DAeTrwP8eugOgsEEwwWbiz6IZVD21cxsuxzavo9ztdm\nBl44/gIxhTHk1OfQw6EH3lbG41f06kXdlq20JJzDZN9+Wg8eRBnZH49Vq5Bad6UloYK2gkZclL5k\nFscjUcjaqRW0pFaiO1FLEVl0mTcGQRCQqmRoy5ppvVhNyMOjOX90H+XZmXQZFH3DY5MrTbgYU4SN\nkxIn7+vvq6IoErPhC5IP76f/+Gl4lwcgtTHDflYIwm+emW5BIeSnXSQxbS/2ruGYl7ZRQjnPXn6J\ncJ9BTB37PLVfbURXXo750KEIgkB9q5aHNyRg6q7i3RcjMTUzue5a0bZp+PHdZZjLRUaZ/4Sk1yww\n6/wZ4OwXQFl2JhePHsQ/vB9KK2sCbAP41rCO+opWmpPkFKbV4OJvhcLceK8ty85k1/K3kEi9iHpg\n/lVdwF8gCAKSo99jvv19dGFDyCo2o9i2D3kuUWSdLqDsQhFqiRKpzLgqA2Bnbsqa4zl42Crp69O5\nReONULPxa0pffoWaXpP4Kvmn27a0eqNiBxeMfLj7AB1GCZIdoijW3aDN34JKhT1RNe5USeuI9OyD\niezGNRzW1taMGTOGnTt3EhsbS//+HfO+XINCQAr5rtlQYcPlZhhMGW4qBStMl/OQ5GUq880QpKBr\nLKelTYa6qRCtTXeKHC9RFJyE0toURzMpW8olTHb2JKUyANr0GBLSru3ITgb4IKUF99ZmXtIoMBVU\nUKND0qbhwQaRsRY2JKVvp0jiwtCoaJyuaBD1je5LjjKH/LP5NMapkFr0wtS7lqaaBnwqu9P7Rx8c\ndJa0SFqxNJgSkKLiqEcaLY7NdJc7MEHuQk+bICL7L2xnQP0LzAcNxGvtF+gfeQSTne9C9FQs/L8j\nIekHZDJbAgJeRlRM4tu4AmzjHqVA24P5Q8bz9PAAzGTXF2H4O5qzcmZvLhbVs3T3JZ7dnoypVMq4\n7h1rptWVl7F7+VtU5GXT7+77sHJ05uDqj9nz5gtMCKpGmrkfDDqjzlJ19hXF+mvK7MOAJMuhhPW9\ntqRaW1vLypUrkUqlBAUF4Rrgylupb9HLIYyeBfbs/ek9cpIqkatMOL7pHIgi6rQ0dDm5yFUqeoTe\ng9pMQ21rJWu2LcP6pzKKHFt55p7nyM7IBaDnvEdwcLh95eX/16FQeNIl5B18vB8nL28VxcVbKC7e\nhqvrvXh7PYqZmeuf3odWq6WoqAj178jY3gxWVlakpaXdfMNbhJmZGe7u7lcnEHcaQwId2BJXyOt7\n05CbSHC2UjDcbAiTNIcoCHuMVhML2nQG40tv/Hsmp5pVP2fT3+/PFSiV1asprmtlyJAhJCcnc+zY\nMabeKFvdXGXk8IU/fLVS87GejzG1YCo9hvRmhMlgdOXNaMtbUKdWX/3Zmw92w3qs780HlHEASpON\nXsvNlZDyAyRupE2iZIC2B31ML/CyuTc7Sw9DuZqBboOY2/VBHjvyGGdLzxLlEQWAzMkJh2efoXzZ\n62Bvh/vKlZhHGz+r/TEJmYsKi6Ee1O7IZIzHwyQdPoZuzF2YmJqib2ijeutl6jUV2NzTXtfNIsqD\n1pRq5AUShj7wKIc+X8HpHVuInDqj02DOykGBpb0ZBak1dIu6npMbt3MHSQd203vsRAJ0PdGo63B4\nuBtCB/dqQSLBwukuhLRsEiu+YUzXRzA72kK0dx+eDXqaNsEM6QNzqPp6E6JWi+tbb/Lh4UyqmzWs\nfyC83UrGrxG/cwcNleVMffpJpAcPwoXtMOjZTr8mQRAYNX8BG154gn2fvM+MN5ZjIpPxweh3WaRc\nxOHEZIYXzGLb6/FETPQlKMKG799+HVFU0mPEXHoMvb7gRX35MhXvf4DdoEF0f30UjdUaKgsaKc+q\npjimivwiA9lbMkCAiQt64h5si725nGBnC85kV/N4tH+n4+0IosFAxQcfULPuSyyGDyfTJuh3tb8Z\nOo14RFGsBlYDqwVBcAemAamCILwoiuLXt3UUfxK1+ia8NI40ShoZMHnILbXp2bMnly9f5siRI/j5\n+eHoeL05vcxUjktgMJnpSZRbO+NkYoN/cxQRlz+mfHAQa4XX8Pf3J68+B53BwLgzzpibyaiYXI+9\npRmixonq1mpMlVWY2lawWzgDnrB54Gr8dj2DaX0Oez1fxqQ0DIvmCk7I0shUJBIUFIVLWBByb0sE\nUyktCeVc3nuMIok1XnobXjmiYZrsGLnaAxzOP4zOoCM6dAhh9V3JyZFiluLOGHVPLFFgalVMm/pL\nGhXnaVNE4lp2N0tz5mOevxNLk41IhCt8tepiGLccpNc/YCz79sf5i1U0b3wYr8Eb0WNCSZwDLc0D\nWesRQFLuMWbJTpEj8SNI1oTiwjZ21gfh5OyMs7MzTk5O6HQ66urq2r1GmtThYGvG09sSsVJEMDCg\nPT8sOyGO/Z99AMDkF1/Ft0sQ+vh16HxqOZqWzYGyOsZMfBRJ+Fywv/LD0qox1OZz+HQs546fwLyx\nhqjxL17ts7m5mbS0NOzs7PD39+fixYukpqYSLYnG29aemHNbUZmYolUbkMnNqMitQt/YiL6qGpzs\ncDAPxFSv4FTOj0S0WAIlaGQGZKO74mnlyens01hZWf0/wXX7K6BQeBIS8hbe3o+Tl7+KkpJtlJRs\nw9VlCl5e/0Gh+ONE4qKiIiwsLPD29r5tlbKNjY1Y/EnO1S8QRZHq6mqKiorakf3vJEaFOnP8hWgs\nFSZYKa5krsrsYfVAFtqfgkHPXddm+eEMPjmWSUldK67Wf0wWJ7eqmWlrzlDRqOGj+3rSv39/jh8/\nTmRkJG5uHXzn2lbYMg2K4iH9AMz5EeQWBNsGM8xrGMtLVzHinruwkxu1IEWtAW1lC03Hi2g6UYyy\nmwOmHjf43kTRmMW38YGRb4DUBFGrZuu2TQiXd6O0SWGyrS0tEgPmumDK8weRXhlIlZM7vZx6cbbk\nbLvubGbMQO7nT3xDPd2GGjUg24oa0ZY2Yz3JzzgeV3NK1yUSzijyvjiJ37woaranY2jTcVF/ivv6\nv9euT1N3C+T+1jSeLCb0hWEUXrrA2e+2kJ+cyODZc3EPvr560mjXZUdGbBl6vaFdMJXy0xFObtlA\n8IAh9PYbQ/2eXKzv8kPm3HFxVXluAzlJTYQOfYjUmE/44fi7jHCdw38y72bXwldo1Rt5jqY9A+l2\nIob6hx5lm/MEZg0IpJt7x4UmFXk5xO3cQVDkYDz7j4LUfsbJ98BnbqhnqLK2YdT8Bfz47muc2vY1\nQ2bNxVRqyntD3mOZfBkbLZcwveIZTn1bz6ktB9E01+LR7WGiZve87l5gUKspfv55JNZGBwyJRIKV\ngwIrBwX+vR0RpwRS/sFySr7ZyfmIhZzYms59r0QgkUro72fHN7EFaHR65CYdq0WIOh3asjLa8vPR\nFhbSll9A68ULtJ5LwGb6dKzDDBTvs+6w7R/FTatWBUHoBTwMTAaOA98tWbLkHyUI/NaHby7pFdYb\nH4knfUbfmlWQIAj4+PiQlJREbm4uYWFhHdohVZSUcKmkAtFUzpy5DyCr1NJU3ZvB9bm09elHS1sj\nIyqLmFBhhy5fybiHFvDAiKcY4jGEUd6jmBwwmRkhM7jbdzbbjrmiMz/B1vP1fFUxg76U0bWqNw4a\nOy452hI+OpzS8jzOl6Zh4+2Am6c7giBQqi5hz4VjeAsC0boBjNcLnK86hFiqY3bjfSyon8HgzFC8\nKmzw0NmRYVJKlqICeloR9sg9WHWPwFXTgCPVmPs2YTCxobm2N63m05BNXYSJjQpiVxlvmkFjwKS9\nbVRrawE5NW/T5FOINEugcddwyuqH0FKZiJm6gq6qOgRBYICTGj+VGqE+n/K6VtJyikhJSSE2Npb4\n+HguXrxIZmYmxcXF6LRaxPp6hNZKbJRyViU0MNDfHmcrMwwGPae2beboupXYuXly7//ewCDR07B6\nNNbZu2i2dMHUuw+XMhtotu2B76DRV3+sRQ1tLNgYT/7PP2FfU4xBo6ci/RKBEQMwVSj57rvvqKys\nZPbs2YSFhZGsSOZQ3SF6KrpQVdGI1sYRqW0gNqrRPLT8KYKdPbD6dA2hId0YunYD9sVOIIEer0zF\nP2oIn2q/Jd67giUj3sRObseePXsIDg4mOPiPae79XbjTS4gymSUO9sNwcbkbvaGVktIdFBVtQK0p\nwVwVhEx24+X2jlBWVoanp+dtlTtpa2trJ5XxZyAIAgqFgrKysr8tWysIAlZKGWYy6bXzZO4EhfFw\neR/0nXdd9bu7jYIvT+VhrZAR4WvMyt3wernwLWQfA7dwEATyqpqZvuYsWr1IiLMFG8/k/3/snXd4\nFOX6/j+zNduym03vIaQnBEij966gCIiKiCiK3WM56tGj5ysq9nawlyOKIggoIFWQ3gIhJISE9N57\n203d3fn9sRRDqIo/Pefyvq69Jpnyvu/Mzrx7z1Puh/GxoTSV5lBTU9M7vMVmg7X3QP4OGHw/ZG20\nx7FF3gBSOX30fViRtYIdJTuIcY/BReWCIBWQ6hQogwyYk2voLGhCE+dxYcHY3G1w6D2YtBi8BgDw\nzo58Xj7cjS4+gW8UiQQ7h/PhhI94cshdRLn7cjC/nmWJxdiEZsotB5kVMguNXHPmuip8fCgqLT1z\nXVp+LsFS04ZxdiiCTIJELUeX4E3mrl0YW1wxH63CUtVGct02gq4fcV6dTqmjEnNiJVKDkvDp49G7\neZCXdIiULRuoKynCrU8gKl3PZ8VmEck+XIVvuBGds30uL0w5yqYlr+MX1Z9r7niUhq+zcAg1op8a\neN7nRRRFfvosA6tVZNz9A9gnTSPFloVbXx/8W/0I8o0jcOYwQoeNoL6inDyhG0tVBROKM7jlsXmo\ntD3d8L4+3hz+YRVbP3gbhVrDdY8/g1KltntTUr+B0Mmgu3glG6OXN23NjaRs3YhPWCR6Nw8kgoRR\nPqMwiS3sy/scr4pcrF1mDF5Tmf3sjciVvW1V1S+/jHnPXnzeW2KvY3sOBIkE7bBhqFz1dG36nmJV\nPxykXXiEuNBtFVmbUs6wvi49Qg0AOvPyKL33PqpefInGL7+i5ccfMe3eQ8fJkwgKJc4L78Y1qpmC\n3cfI7xzG5uRlV821ekEiJwjCC4sWLXoTCAY2AU+Korjuz0biAD548/3nY2PiGBw5Bu/Iy68LqlAo\ncHJy4vDhw0gkkh4TU1dXF/v27eNAahpWqZRB/SKJTohH3d+N7pxczNWRDJfquNFFQsKJTRypHoTG\n6MqEhQ/0SGc/Da1SxvC+PhwsTUNUZfDvuPvxLU9AtGhxli1mYP96vOMmEx07iMrKShITE2ltbcXF\nxYVvvvwPOlsjs24cxaeOe+hoaGFa0yhizWFI2jWkdnZzVCuhLtIJn+sjGT5sICcyTlBaUUZgYCCO\n7v4QMhn634QQNglVXASKAD3tmU2YDjdg8xmOcmA/hKRP7JN5yEQ6BQeOpWeRlPk5lSVP0tpWwzeZ\nN7K+OJQpqXso7zsEk5cWiVKOxlzDfMcDRN//BQGDpxFp6GBQ3hsMUeYSOu5WfCISiIqKYsiQIYwZ\nM4aRgYF4ffkVPtu2YdJoEXWgQeTTtDbGhbtzbMXnHNu8nn5jJzLt0afZe3APAZtuQWlr5z/+r/NY\nzTV83+yLt15JR+pu2s1mAqIH8t2+TL545z3C87fiJrUxfuwC4kOnUlyYRmbSHto1eo4kJdHX3x+f\nzz6ntDCN51q/YZTXYIy7C3DCSvSoKeSVZNOlrsXfqKfxwYeQOjnh99mndNd00/pzCfoJ/miCXdA5\nOuHm6oOnkw/T+k6jtLSU5ORkRowY8V/nVv2jYsFkMh0uLmPw9JyBzdZ5ltB1VKDVhiCXX56EBEBd\nXd1Vv+5Xk8iB/Qf/9xjnb4ajJyR9Dnpv8OqpiaZXyTlc0EBiYQO3D7FbOy94v1g64atp9vJfFamU\nugzn5i9S6LRY+fbuwcwf1odD+XUsO1zK1AE+FGSm4evri9H4i5ijXYvh6H9g/CIY+6xdL/PQB1Bx\nDCJvwEXjzkC3gWwp3MLyzOWo5WqiXaJPCQVLkBqUmA9WIlHLUPo5Um4q5/O0z6luqybMGGa3xv1w\nN0gVcN0SkEj5YFce7/ycy8xYV/IkbyEisnTKl/jq7DJVga5abh3kj49BxY+pdUgNiYQ4hRJm7EkE\nTl8XW6eFxtW5qKJdUfc/+10LUgltWjOH9/yAjzqUBlkNGS0HmPLAYz3qe56G1ElJR3YDnXlN6IZ4\n4x7Yl/4TpiCTK8jYu5OULT/S3tqCe2AwcqWdtKkNSlK2l6DWK/AJM1KZl80Pry3CxcefGU8vojOp\njs6CZlzujEKqPr+LPy+5huM7SmFoFf/I+RspnZlMHX4rC6Y+isJdQ2dSPQa9Bz4TBxI5ahzpBRXU\nttYgyrpw3LgRp7HjkWrtJDfj8CESl31K9qF9hA4ZwQ1PPofW6dT37RQAiR/ZPUHBEy5xk4JvZDQ5\nhw+SfWgfkaPHI1coMTc2UL96H47Hm6g2tFM/xY8H73kMjaa39bh15y5qXn0N4/z5GOfcctG+HCIi\ncO7rSvGBPArzuwgJkeLdx4NP9uTjpXdgSN+zXpeWrVspvfc+xI4OjLfcjP6G6Rjnz8f1bw/j9vfH\nMc69FXXTVoR9b3BE9iTdcmfWH1j6+xO5RYsW7QA6AGdgPHDPokWL7lu0aNH9ixYtuu/555//6GoM\n4Grg7bfefn5a/8kMvWE0ascrm3RdXV1paGjgyJEjBAcHo9VqSUlJYeXKleTk5BAaGkp36iEstZX4\nRvZDbTCgiumDNWkDprIAxJJUcpROnCxsZfJ9j1xU+M9Vp6SP0ZnmY2Vck9YXuUaJ6139UaqK7AH7\nhz5EXptBv/4DsRoCOXzkCEePHgVrJ1P61PB4+xEONBwiYcwYBo+fgOMYX6yDPclykrHL3MY32dV8\nc7SU71Kq6dJ54theSVpqCrWiFgeNDkcHGZJTb6gyowOaOHdsbRbMBytor/NCMWY60qxl5CbvYmlS\nHjLhffQO+2hqdOdk+hj0Zg3hegNlIaG0yZtRdBqptmWgK6skuVlDkbYDB4MOY+BohLBpyPK3oU/7\nHC9XJ9wTZuDoqMf87bdUPPY4Ylsbnotfoq+7B+VZmUi1NrxrK1ia3oQu6QcGTp5G+Kw7Wf7Fu8zM\n/QcmuRHTDcuICuvL/VPicdEq2VKnod1sRsjYy9a9yZj3rGOARMXQkFnEaEehqlNCvYU++mgKG/M4\nVlNOYN++BJeVId2yFUlyOkH1CgytnnS0tjD7uZdoKdTSkCUDYyNJx47h0NJM/3ffQeHtTdOGfKym\nbow3hZ4JDA40BDLY017YOjk5mdLSUqZOnfqHxUD9WvzRQf12QjcaT69Z2GxdVFatobTsK8xt+ahU\nfiiVlyY+/w1EDn6fcf5mGPzsVqqC3RB/dw+ZDQCpBFYdLWNwoDO+RvWF75fMjZC2EgbORczcQHPy\nGvZbI/ng7olEeDmikEmYHOXJnpxa1ue0Ee9ooqKslJiYGLtlKHUF/PSMPZt2/CK7u809AvQ+djJX\nnQER1+Pj6Md1fa8jvymf5VnLSa9LZ7DnYNRyNTI3Nd1lrZiOVvJO12c8d/T/SKlJYVfpLrRyLf2b\na+Hgv2HCi+Adwxf7C3llSxbX9fdE4bGa5Jpk3hv7HsFOPSWsJIJApLceZwcje6t+pLi+nVuirumx\nz+nrYj5WTUd6PYbpQcgMPe8fJy9vkvaspbDjBBkl+4ibdgMB/WPO+7UIgoBULcd8uAq5uwq5hwap\nTIZPRBRRYybQ2WYmbftWjm35kaLjKTRWVQBWmmtFWmq78ewLa178JyqdI7P/9TIOGh2Na3JQeOvQ\nDTt/GIOpzcza95NoVFTzpfEVEjwTeH3U61wfdD1gr8Yh2kTMByqQauW0u6p5+EAnKldPDG0lFIrd\n2FZ/j/OgQRzctJYTG9YgkUq55qEnGHTD7DPivvbGVFB9AnJ+sltfLyFuL5XJ8AoJ49iWH2mqqsTa\n3cXa11+gqaqKUbctQDslhmXFy1mR8y17y/Zysv4k1W3VWG1W1C2dVN5zP4qAALzffgvhMuqHK/39\ncXKCzJPdNG3YTFC0K/saBSqa2pkd74tosVDz5lvUvPIqqshI/JYuxXHCBFSRkSh8vJHqdAiiDXa9\nAntfozvqdnZnDSIkwYMvv3//qhE54bQ2S68NgnDRQpSiKBZfjQFcDXh5eYlvzvmEm1+feoaoXAna\n29v58MMPkcvlyOVyqqur8fHxYeLEifj5+VF0/Bib33+L7o4OxsxfSL+xE6E0iaZP1mC2TiO7LYk6\n5xpm/+uVi7p1RJtI09YCzHsrKDRUMvShG5BqTv3gV52A4yvhxBowVYFST4bXjfxcqiBIuofXAgQs\nosjro15nuPfw87Zf29rJjsxqMipayK81UVBWxWAxC63Qya7uIGROXrw6I7pX0HJHdgON3+diNpk5\n4ppPvewQoSEH7MkPDgswqMfQ2d6O2WzGbDZjsViIMjqTtKwSq1SOEPkN994a6AAAIABJREFUZPoy\n3uVmUh1O8m7Id0R5RhPvOoD4vH0EH/+e7m4XKo+60V7chHbcODwXPY/sVByZKTeXrz/7jFqlEk1R\nIVaLGfcFizDtXcL8lrUcaw2gu9YB17wGrBJQLH2HiPjJWG0iOzOrOfifTxnRrsPfsR9KQYlELbO/\nCQ9wRWpQUv3lCdY07KFVbCVEIxCyK5H27kbWh5sZkOtMuZOOKXMW0KmO5fD6AgKinQmt/IGtlZVU\ne3gQGxvL+ITR1L+bim60L/pJAee9/p9++ilSqZQFCxZc8T34R2P37t2MHj36jx7GGXR2VlNS+gXl\n5SuxWk0YjSPw91uIk9OQCz5jmZmZhIeHX9VxXGmM3J133snGjRtxc3MjPT39vPv8HuO8KsjcAN/N\nhZn/gX6zemxq77KSsPhnJkS68/bsARe+X5bPhup0Sucd5pVPv+LFrtcxyK1IZ34GYWdJT6O5i5s/\nTYTGEoZI8pgxYwbRjq2w7HrwHwJzf+gdr3vkM3tZscgb7GOUSBFFkRVZK3jr6FvoFDoWD1+MxWZh\n3dE1PHBkOmm6HIomtTM7ZDZvJ7/N9uLtPGLRsKDFDA8l811KFU99f4JJke6MiS9g8eEXeXDAg9zT\n/x4uhknL76as/SRvDlrDlH5nXYKnr0v1+ymI3TbcH4k57/2atmMr2z99H6lczt3vf4HGcOEKBaJN\npPqdZASZBLeHB/Zqr76shBM7t1GRnUl1Yd6p+p4CgtQZtaMNm9XKLS++gZOHFx35TdR9dgLjzaGo\nB/SOC1+bu5Zta48RVTCGvBE7uH3CjQxwG3DeMdUvO0lHTiM/hKj5d04Vmx4ejrvYyo+vPE9ddSVK\ni41OmQTXiP7c9MQ/UV4oQzl7iz0e8pbv7C7Wy8DhdavZv+IrALxCwpl8/yM4edqJ6ZHKI/xc8jPZ\nDdnkNOZg6rbH8t2/0crwLIGQtetRBl1ZssL2D5PIPd7E4ONvkHrTfF6uNXDswVgan36KtsOHcZoz\nB/d/PIVwrkJBTSasfxDKj8KAW8n3/RdbPzvJ9EcH4hNmTBZFMe78PV4ZLkjk/pvQx9NffO/pdUx9\n+MJlUi6F/Px8vv76awwGA+PHjycyMrLHA2NqbGDL+29Rkn6c0CEjmLDwQRRJH5K92xNtuz9Cghbv\nGRfu39bWTcN32XRkN1Ic1MgDsudYP+NH/B3P4cs2q/2tOO07yNzAKgcJr7g44+Poz5KxS+ijv/wg\n6d27dxMWPYAVy5fT3FBPvsyfLJMDE2JDeHpqFDoH+0QpiiIZqSfYtPFHPP0T8fbJRGVWMzCjDFXE\nXJjwQu/6fpYucp+Zz7aWuwhr3ktY9AQ6Gs3IBSX1inpejviGrK5c/Os8mZh7O32Lkgiq2IJHTDOO\n0c4I/WbZfyzcowBob23h03f/TaOlm4icCvxsHSjyj6Iy2y0DZW5STDHBeO3LwayRErPhZwx6N2yd\nVmo/S6O7woQqygX1ADccQpwQZGctCps3bOJIchKTugbQ3lhIbd56ksJq8Y6ejO3nbPqYoF0/nSbH\nQAKiXYjRF9Dy7hK0193McT83jhSm4iYzMK49iqB/jDyvAr3ZbOaNN95g9OjRfypCdLn4sxG50+ju\nbqG8/FtKy5bS1VWHTheFv9/duLpORCLp+T38GYjc3r170Wq1zJs377+PyNls8OFgO4G6d3+v4PNn\n1p7gh2NlJP1zPMmJB3rfL61V8HYELbH3c03GWFrau1l9ix+he+6DihQY/TSMfPKMta+2tZObPjlI\nv9YkfDTwqO1jZFpnWLDtgvVEObAEtj8H/efA9R+caSu7IZun9j5FfrNd0NVD48EztgcIPuaM823h\nqCJdsNgsPLNlAVvqjvGA61CCAl5g4ddHGR7syuNTNdz50zziPeL5cPyHSM4THvNLfJe1mpcOv4Ct\n5O+sv2cmQW52jbLdu3czNCSOmiUp6KcFXtDqZenuZumj99I3LoGx8y9OGgHMR6tpXJOD8x2RqELt\nbknRKmLrsCB2WBDkEqSOSro7O6jKyyHr0DHSdx1Fa7Qy7ZHH8Ohrty42fJdNe2Y9Xv8c1CtTdXfp\nbp7a+k9uTf0XLsEq5jwy8qJjsnVYKHk3mfamTvb013PvLf3t59bVxc4P36E08SBhuSXoXNwJfv01\nVP37n78haze8FYrNdyySWz4/T0fWXpY6m83Kri8/w+DuwcAp086UWDsXoihSbionp/IELjc+wZ5w\nG9d8vIG+hr4XPbdzYW7uZPlzh3BqySMy6V2+CR7HzbUpKEwteCx6HsP06T0PsHTZBfr3vmGXVpny\nOkTNZNsXJynNbGDa82G469yuGpG7nFqrf3qIVgc8L7N47oXQt29fHnzwQfR6/XndYlonI7P++SJH\n1q/hwKpvqMrPYfTtC9mW/yZj+szB6QiYvCvRDuodsNlVbqJ+eSbW5k4M04NQREthjcD3ud/zWOw5\nadcSKQSNg6BxbMv7kRcP/JPhXkN5fdQb6BRXnj3nYTRw7113snLlSigupK8SxBOZLMrYRh9fb6KD\n/SkvL6ewKIngfgdwcqzFUDER16zZdPsV4nDs7wjZW2DyqxA18+zkvv9tgtWbyJDdhCgfhthsw3lm\nECd278Svvi+LU+6kui6RDMlQbBI5RQHXsXuqlEcSQtDnbIeD79nrxSIAIirAuzyGdvfR5IX2Ibwr\nlmq1ntygGsKm3MKoAdNQSBUc37gMx7+/ws+P38qMj7ZSvzyT7goTznMjUEX0lkfIzs7mSHISgwYN\nItwaimm/M9pwJ44LqxF35uLWpz/tbeNxxsrAtlIcS6xYcUYzbhGiGaIzQSePZi8ZbHFM4175cM43\nZRQU2MWhg67wTe8vXBxyuSMBAffi63sHVVVrKS75jPSMvyGXO+Hufh2enjPQaSN7WSkWbcjg5G8U\n7gSwWq1IT7lgIrwc+b9pF6+zOHLkSIqKin5zv38IJBIY/gisuw9yt0PIxB6bZ8f58u3hEjamVXLe\nsPS0VSBa+VtmOC3t3Sy/azChPnoI3AIbH7XXds3ebI+LctDjqnRkfbSGjw83Y25TcZAgdns+jPFQ\nHcHunQS7afF31iD9pZdl2MP2jNbdL9vj+sb9C4BQYygrpq7gu6zvcFW7MjFgIjJRSk1FCk0/5qMM\nMiBTSHmlshyZVWRZ+Qk80t5hnsqXgQ5dPL3/MwwOBl4e8fJFSZxoE+kqa2WYt12ySq7N556vj/Ld\nXXEUZJ+ku7sb85EqkAloBva2eJ2GTC7njnc+vmh5qV9CPcCVlu1FNKzIRqKUYGu3Inb9QsRYJuDx\naCxyZxW+kdF4h/ej+GQggQNcz5A4W4eF9vQ61DFuvUhcTUMd7/70CZPKb0eOgmvmXJpfdEkFnpF1\n8qgAUzNNdBY0owzUI1MomPjIU4iiSMumzZS++CJFN92MftZM3B57DJnxHA02qRyT8Qmajodj7HwD\nlSIVa1011oY6rE2N2NraUd/1JpKEeWcOkUikjLvz3kuOURAEfHQ+OO5Lo7zTSmKEnK68dTwe1zs7\n+2LQ6JXEXhNA4jobwUNvYUF9Gy0usbi9ejv64ecQ1PJkWP8Q1GRA1CyY8hpoXLB22yg6UUdwrBsf\nnfjwivq/FP4niJxNBK+g357OeynJCEEiYdANs/GN7MemJW+w/o0XkUileC9MwLatkaZ1eUiU0h4m\na3NyNY1r85CqZbjeE43SzxEtMMpnFOvz1vPQgIeQn0fyo6GjgcXJbxHhHMGSce8hl/z6mCuVSsX8\n+fNpbm6mqqqKlOxCDp7Ip6CohNqSPJxdyogeeBBBIsU/6N/0GTSJpnV5tJyQwZCtOFY/Cd8vsLt+\nr30LOlvtbxr9ZjMsfDhtX2XQ2FyN5d2PCHA2UlywA6/IO/EwDqOyrZQxd4xg7YZyPLPGcrvqAx4f\n+xBTbvgYMn+0K6sLUnKKugltjiDC6sj3soNsVaVwk8dNJAwLxDH2bAmY/lPnsXPfTiLXH+HE66tx\nbvXGaWZwLxLX2dlJeno6O3bswN3dnQkTJiC0tVH7yVt4RNzIrd0LMLu34WLzQ6EWABmoveguPQ60\n4PLAnSh8jMicHPDWyPErjeXLL79kw4YNzJo1qxdxyMvLQ6VS4eX12/XQ/kJvSKVKvL1vxsvrRurr\n91JZ9QPl5SsoK/sKrSYUD88ZiOLgP3qY//3odyPsXAz73+5F5Pr76Al207LqaCl/O7finChC6rcU\nq6PYVW/g6wUxZyUo5CqY/hF4x9rJXk2WvZRgZwu67jb+DnzBTeyUDGdHhZLSzJwzzSplEhL6GBkV\n4sqIYFdC3LUIo56EljLY95Y9MSN8GgAqmYr5UfN7DMtwQzA1H6dStiGDRv1JCkqNOMlHMdFiJ0Ey\nsYHU7Dpa/JpZMvU9jA4XF3o17SujeUsR2mFe+Gp9MRpryDhUz7vvf4Ss24xKpcK7TcCjny+SCyQS\nnIbsHINBl8XG4cJ6dmTW0G21ERfgRJy/ER8nFYJMguH6INqSqxEcZEhUMiQOUgSVDIlcStOGfJq3\nFeN8iz3zVSIR8AkzUnKygZa6dtpN3XSm1CDptlEhCmSvy6elvoPmmjaa69rpNFuYwN0ADJjsh8Ht\n0kLNL2/O5GBdK/fNHoBsVyV1S9NxnheBQ7DdqCIIAvqp15IqkxKWdoKGZcto3f4zxtvnIcjkWJua\nsDY2YjXpsKqHcFJagnDSCU60oGy3ouxUo+iSoezsxMu8GJelM0Hx6+pQN2/chMzNDZeh0WzI38DD\nMQ9f8W9qeJAemZMcZ3EkorOIKwJtm1rp2HsYZR+9/VOzAlnKSwg6D7hlpV0F4hRKsxro7rDiEGyh\nODnrV53HhfA/QeQEwV7j7f8XvELCue21Jez95gucvHwwensjzvWgbmkGDauyEeRSHEKdaNpYgDmx\nEmWgHuOcMKTas66gG0NvZGfpTnaU7mByQO+4gMWJi2ntauXziZ//JhJ3GoIgYDAYMBgMhIWFMeNa\nKx/tOkFT5VtE+BykxRrE2MGfoNcFAGCcE0bjd9m0HKpFdvN3qDt+gB0v2l0vGldQOSFOfhVhVSWC\nVMJRwYno7HI0mnJaBt1LXquZYToH4rSBZO0/xIyFN/D9m8eZkDOfpyXPcCD4Wp4e9DRy5Oxft5nA\nLD2CrJOkuEKGO05kz4FtlAS0IfmpCLHDguPks9pgo1/4hIya13Fu9cYc3YXnADcqcpswNXZQWlZK\nfmkmVU3F2EQrCrQoTcEsf+4w3aY2LO7XoDd1EafWI5UaEf10OA32RBloQOqkxLxfhSLAH4Wvb4/r\n5+/vz9ixY9mxYwcBAQHEx8ef2SaKIvn5+QQGBp5XwuYvXD0IghQXlzG4uIyhu7uZ6ppNVFZ+T17e\nKxidPsFsViKVanhmsjdSaXAv9+uV4mrqyP1XQCqHoQ/B1qeg+JA9Xu0UBEFgdpwvizdnUu53TkZg\nRQrUZvJx9wLuGRXIiOBzkjkEwV7bNeHunustXQidLYyvqGXp8u94ZYSKgfFjyKsxkVtjIr28mf15\ndby0KRPIxN1RyYhgV8YGPc6UqgyEtfeBSyi4hgD2F7iamhqqq6vPfKpUlXSl26s+KOmHV6czrjYn\nul27SepOQWbWs1CYT4z7+RMOTkO0iZiOVCEopZgOVPCY/zyWSL5luiqTti4wBMfTWZDKeg4z29+L\ny9H+b2rrYnd2Ldszq9mbXUtrpwUHuQSZRMLywyUAuOmUxAU4EetvZNwUfwJcepMZS2MHrbtK6Rrh\njcLHfr/6RRjJP1bD188eAmCEVopMENi9rQQEEDQyFHoFbd6tHOnYRkzfWG6Mvw6fPpfOFN9+sppl\nh4pZMLwPI2K8sYa4Uvd5OnVfZeB8aziq8LMv1qKDA+5PPoFhxg1UvbSYuiXvASAolcj9Y1GETySf\nHI4oKkABDIrt1d/wlP2MO/QhwqgnLuOq9oS1qQnTvn0Yb72V60Pi2blrNwfKD5wRdL4YRFGkI6fR\nfm2LWjAqpWQ2deF1XSDrK+uozqjnUS8nhKIW2tPqgARkqmVoYsJR+/j38N4UpNSicpBSfySZFyru\nZykrr/hcLoRLEjlBEKYCLwL+p/YX7Ocn/v9jTpeAXANS+f/fH1ClWsWIedOxWttpaytEInFAN8eD\n7mVm6r7NQOGmpbvSjHakD/pJAQjSnhacIZ5D8NJ4sSZnTS8i91PRT2wr3sbDAx/ulTl1tWBuSSRe\n8zQdPhWI6pu5PuFfSCRns6sEQcBpVgiWpk4a1uQivftWlA9MtQcb52yF2ctoLxDpyG5EM86Pro1F\nVMx9E5tESllWEzGT/PEb7k75+4fxq+pD8XubGR8WSkEmRFS9xMa2FTyb93eurRhKWEsA5W25tAwW\n6CMZR/L3xUidNewqT2O6YQzsKcPWYcFwfRCCRMB8pA4n99E0VaaQXNLK7iPQIimjQ12FVdaOYJOi\nET1wUwdgdHRDoZQilUto3ZZIS3cT+bE+BEVOIDjeA4N7zzdP7YjzJ5IADBs2jOLiYrZu3YqPjw+e\nnnYHU3V1NSaTib59ryzu4i/8Nsjleny85+DjPQezOZ+CgjpASld3I3TZC4dLJHKkUjUSiRJBUCCR\nyBEE+anlX6T7vIiZB3tft1vl/Ff32DR9oDevbc1iX5mFW3+x3nTka2TIKXKfyFcTrkC1XqYAmQv+\nwS4EBwezf/9+4uLi6O9roL+vgVmxdhWAiqZ29uXWsjenju0nq1mTXMbDcc/yWNPdtK+4newhb5OR\nU0B+fj42m73upkKhwN3dnX7R/VClmnDpdMQm6+RzmyN33RnDwEAjJceaad/QirXKcsmhdhY0Y63v\nwOmmULqrzbTtKyBGHoPeVUODbhAfZDTygWQgJ+XpfLNtDdcoriM+5myigCiKVDR3kFrSRGppIykl\nTaSUNmG1ibjqlEzt78m4MHeGBbmgkEnIrmolubiBo8WNHC1qZPOJKt78KZsVCwczwLenB0o3ygfz\n4UqatxbhsiAKQRAISXDHZrUhlUtxsFqRbypkl7OUD6UmzKJoJ3MdrWi83sGmNrI/ZRxLUg5wc7wv\nL06PQn4Bt29VcwdPrjlOpJcjT062f9dSrQLXhf2o/SKd+q8zMd4SirpfTzKvDArCb+kXWOvqkGi1\nWBqs1H6ShsyopMJJhb5Bz2zfCTQeK0M1I4BurT0Rce+WLaQHRDJk3fto4u4EzZVVGGnZvh26u3G8\n9lpG+IRidDCyLm/dJYlcV2krjT/k0l1pRqpXoJ8WiDrOnaPvp5G4pZg7/xHL5IL9VHa2svKpeGwf\nzKTD5IPZcQHNP1XSvKMKVaQLmgQP5P46mtLqGKkRUFT0oTCi8aJ9XykuxyL3LjADOCH+STMjpL9j\nKUtRFDGZs2ltTaetrZC2toJTy2JEsav3AWH2j8SiRj2wL46u4bRUhKBRB6HRBqNUuNtTyiVSZgTP\n4P3U9ylpKcHP0V5GpL69nsWJi4l0juSOqDuu+vlYLCby8l6lvGIFKlUAsTErMRjOHw8hyCQ43xZB\nzYep1C87idv9/ZHdshLMddjkTjS9lYzcU4NxrB8xXTaObChEIhUYOy+c8KF2khPw1EjKliahKXRE\nUtBEuEoJzY4MbLYH+HZIukgjkeLONJxL7iOnuITIEd4oPB3ZvncTO+qK6G9xI/hwFY2lJhxCnLDt\nLqVahERVFFJ5By2KI7SpO/F092bgwIH0H9ivl2RE29GjFL/yOZ9NVTA67kXix11GCZ9zIJFIuOGG\nG/j4449ZvXo1CxcuxMHBgfx8e4D1X0Tuj4NG0xeZrAuNJhBRtGGzdWCxtmG1tmGxtiF2N/c6RhBk\nCBIZEkFm/1uQnrOUIYrd2GyWU+uuntDwnxoKNQy6D3a9BFXp4BF1ZpOrTsnYMDcO5tndf3KpBEtn\nO2LaanaICbwyZwQK2a8jyGPHjuWTTz7h4MGDjB07tsc2L4OKm+L9uCneD6tNZNHaFDYfS0Pl8QC1\n9Y3YNv2EXq9n0KBBBAQE4O7ujl6vt39nJYlYit6lubmJYR3P8d5t0cScytx/KPYhNqR+T0pJOq0l\nDej8LmxHMx+pRFDJkAbr+DFrB9nyQoKtHgSKXtw9K46ILTlEJzWyzxZFozyTTT+u49PtaXiGDqSq\npZPU0iZqWu2VdBQyCZFejtw7KpAJER5Ee+t7KS5EeDkS4eXIbUMCACiqM3PbF4e588skVt87hL6u\n2jP7Shxk6Mb60byxgM7cJhxCnJAppPQZ7MEPKeW0/1zMROA/bSbmjuzDLQl+aJRSntz3CMfrLTza\nfxHKWE9OlDfzdWIxpY1tfHhrLHpVT2+Q1Sby2KpUOrptLLllYI/qBhK1HNe7+tk9U99mYZtuQRPr\n3uN4QRCQubpiqWunbmk6ErUM9S2BFHy8kaFDh+I5Igwh24T0UDtuDwxAkAhY2trZtH0b2VluxOx7\nEya/cnk31Cm0bNyEwt8fhyh7LO3UwKl8m/ktDR0N53Wli6KI+WAFjZsKaFW0YR4jJ2bsEKSnSn8O\nvzGY1a8eJW19IU9NCuXptekkbfycQQ270c74HG10DF2VZsxHKmlLqaX9eC1o5MRLRRqFNt4OW807\nt34It1/RaVwUl0PkSoH0PyuJ+73Q1VVPVdV6KivXYDJnAyAIclQqP9TqPjg7j0ajDkQq02Gzddo/\n1g5stk6s3R10dlTT1lVIbd3PVFSuOtOuTGbAoI9Bb4hjokcgnwoSvs/9nkdjHwVg8eHFmLpNvDTs\nJWSSq+v5bmg4QGbmP+jorMTPdwGBgY8hlTpc9BipRo7L/EhqPjxO3ZcZuN0/AInWlZYN+dhau3Ce\nG44gFRgw3o+25i6C493xCj77tihRy/F7YCj1ZSWsff0F2hqa8PCbjtXsw+gb+yKVVpP57h4c9ONp\nru5m4l2RBMe5Y7PZOJ6VhNVYjUv0YIp3luFfYcJWYaLOIlITqGdiggc5Xz9LksoLg97GPffdfcHz\nqPjmS8xK8LhuFo62X29M1mg0zJo1q0e8XF5eHq6uruj1ly9e+xd+PwiCBKlUjVR61tpqJ3fdp4hZ\n16llN6JoQRQtp9ZZEEVbr/ZMpvJT7Z4mfnIEQXaOdc++nDNnLrt376aurg4fHx8WLVr0XylHQ8Jd\n9mSk/e/ArP/02DQ7zpdtJ6vZnV3LhAh3tq79iqliK/oht5/X7Xe58PT0JCIigkOHDpGQkIBWqz3v\nfoUF+SiztjBc3k1hvZKRvmoGlC7FO3YhwshJZ3dsKoXt/4KMHzDJXPlb5108e30MEyJ6kovoETEk\nf3uC9F3HGHL7+PP2aTV10Z5RDzF6Pv/yP9TX1zN58mSSUncwqiiS9u9ymG1QYhJEnnliDMdqYti/\nYyvetQUUHmuhRBvO0L7ODPRzYoCvgXBPxysmvAEuGr6+cxAzPzrIvP8c4Yf7h+LueHb+1g72xHSg\nnOYthSj66ll5tIxXNmfS1mnhR4kjLZ4qtt4/7EwN7HV56zhae4An4p7gtsgEAGbH+9Lf18DTP6Qx\n66ODLL0jHh+ns8/RJ3vzOZhfz2sz+9HXVYvFYsFms6E4JbshcZDhsiCK+q8yaFqbR/PmQtyNAm3O\ndTiEOiFRSLG2dlH7RTrYRFwWRHG8+CSiKBIVFYXEQYZhal8aVmRhTqxEO9SL/vFxbN/2E6m6aAYc\n+gzJoHvsCTOXge7qGtqOHMHlvvvOvIhND5rOspPL2FSwidsibuuxv63DQuP3ubSfqCPbWMJzLksw\nVbURsDGAO6LuYGrgVFz9dCRM7cPhHwsYHepEgq8Gr5S3sbpFIo2aCYDCU4Pi+iAM1/Sh7UQd5VuK\nqOy28VTwIp4b+SxK6dXVprwcpvAksFkQhD1A5+mVoii+fVVH8ieAzWahvmEPlZVrqKvbiShacNRF\nExryAkbjUBwcfJH8CnLV1VWP2ZyLyZyLqfUkTc3J1NXvBOAVHwnldZ+Sk9tJYZeUA6XbuH/AIwQ5\nXZ3sR1G00tCwn4qK1dTUbkGtDiQ29jsM+t5xCBeC3FWNy23h1P4nnfrlmegnBWA6WIEmwQOln50U\nyZVSRs25sEvF2cePOS+9xY9vvUxp1koc9MP4easCc903INHhGjCYyQv74+hij72RSCSMHDmSNWvW\nILi0MHTREKq2FNGZ20jI3HAGOKuwWCxsS+yPQ1kpA1duZk2UC7Mm/K1X35aGBjp+3sW+gVLmxd5N\nVtJvCzT9Zbyct7c3JSUlJCQk/KY2/8LvCzu5UwIXn0BF0XaK0FkRRQttbSaUDnJEm+UM6RPFbqzW\ndkSxtzvu00+fQyJ5EUGiQCIokEgUWCymU65d2X+PVU/lBHF3wqH3Yew/wXjWgj061BW9UmDV0VIM\najmqjJU0KV0ZPnHWRRq8PIwZM4bMzEz279/P5Mm9Y4dzc3NZuXIlLi4uRA8dyx2r86mXuHBtVC7C\nzpfs5bb8hsD+d+HgEkRgh9t8HioZyd1jo5g7uLc8qm+QPxqZiqzCHAZbxvaQLjqNtmM1YBVJtubR\n2NjIvHnz6NOnD4fkh/igcyUP5NwMIpg8RHyNKkYZVYwMvZ09e/bA7t0sGCxn5MhfL491GgEuGpbe\nEc/NnyZy+xdHWHXvEBxPyUgJMgn6SQE0rMzmww+TeLO8jmFBzjwd4ol+cwnO4/ucIXGVpkpeO/Ia\nse6xzI2Y26OPWbE+eBkcuOfrZKZ/cJAv5scR7WMgtbSJt7flcG0/T2bH2WOIV6xYQWlpKfHx8QwZ\nMgStVotEIcXlzn505DbSnl6H5XgVDcszQSbBIcQJa0MHttYuXBdGI3dVk74pHWdnZzw87FWZVNEu\nKI8aaP6pCFWUMwpHJf38/TkmilRWGfHeuRhmfnb+C9TdDluftsdkjn2Oli2bQRRxnHrtmV2CnYKJ\nco5iXd465obPPfNMdlWYaPg2C0tDO2XxbTzW+hrPuo/AMXgSX2R+w/8d/D8+SPmA2yJuY8bYmZRl\nN7L/uxxeHJ2Nb201S9V/545zYqQFuRSTk4rdtR0UOZ4kwMOfKX0I+b+XAAAgAElEQVSmcLVxOaxk\nMWACHLCHIv5Poqb2J3JyXqCzswq53Blfn9vx9JyFVhvym9tWKJxRKJxxcjqbVdfVVU9z8zHSy9Zj\nrfqJktIvkGHlZW9Qm1eTmVWIQR+LXh+LSuV7xfE8JlMONttq9h94mq6uGmQyPf7+99En4MFLWuHO\nB2WgAacZwTSuzqG2OA2JRn5BYdwLQe2oZ9azL/HzZx+QsednOs0FiJZKAuNu5rpHE5CeM4FGRETg\n6urKnj17iIiIwPOaPsBZHb0DBw5QW1fH9ePHYtuxFe3jH/PtQ8XcctdbPX4wy1d+jdRiw3bdJDw0\nHmTx2zOGTsfLbdu2DfjLrfq/AkGQIAiKX/wPygvI/pwmfb+09J2x9lnbsdhaAPEXbUmQSJR0dTdQ\nUPgeWk0IWm0oKpXfnzNeb/D99oozB5bAtHfPrJZJJQz1krEtq4by0iJ+lB7HGv/wJVX5Lweurq70\n79+fpKQkhgwZ0sPKnZ2dzapVq3B1dWXevHmo1Wr+0arghY0nWTn1CW6pyYI1C0CuhtYKbFGzeLnz\nJj4/0c3DY4N4dML553KJREJYYCip2Wk0pVbiFNdT+00URcxJVVh8laRlpzNgwAD69LHPQ0O8hnC3\n4QtujLwJj4Nymv3P2DoQBIHRo0dTXFxMcnIyw4cP/03JULt27SI9PZ34+Hg+uLkfC5cf5+6vjvLV\nnQlnCNoJnYROiY1B5R08OymUO0f1pWF5Jl1aOQ5h9mxSm2jjXwf/hVW08uKwF88rtzK0rwtr7x/K\n/KVJzP7kEK/OiOadn3Nwd3Tg5Rn9EASBwsJC8vPz8fDw4MCBAxw+fJiYmBiGDh2KwWBAFWZEFWYk\nzVjBYP8BtKfX0Z5Rj83cjcu8CBS+OlpbWykqKmLUqFFn5mxBEHCaHkTVO8k0bSzAeU44w667juT3\n3iNJOhzvE6tg6IPgeY7sR2sVrJwD5cdAkMDJ9bTs6YNDRATKwJ6hNNODpvPS4ZfIbMgk3BhO29Fq\nGtfnI1HJUN0eyJPJNxJtsTLr8DdIGmqYNPsbDtUk80X6F7yV/Bafpn3KiPAx+JeM5vAeNVKfOF7I\n9qJ/SSMxfmel0KoKmli/JJVueTs7fVbwXtzbl9Qo/DW4HCJnFEVx4qV3++9EV1cd2TmLqKnZjFYb\nQWjI8zg7j0ZyFTJFLwaFwhlX1wmMdB7LK/lTqK+tJEAp8Ez/2Ug7C6mp2URFhT2rRSJR2l26qgBU\nan/7UuUHggSrtQ2rxYzVasZiNWOxtFJfv5vW1nRAiqPjGDw9ZuDiMrpHMsOvgSbWHUt9O607S3Ga\nEXzJ9PrzQSaXM+m+v+Hs48ve5V+iNbpz3aM39yJx9vO2W+W+//57MjMziYw8q+FVV1fH3r17iYiI\nYOD4SbSHR3LsztkMfGsLq/KLmfHSCuQyBaLNRu3K5RT7Cdw46bFeffxa/DJerr29HX//ixZC+Qv/\ngzhN+i6UGSuK4imCdyr0wtaFzdaJaOuisPDfnCZ5EokKrTYErSYUrTYMrTYcnS4cmewPzpZ19IQB\ncyB1OYx6yv7/KYzwlrGlsJsR7TuRyWzIYudepKErw+jRo0lLS2Pv3r1Mm2aXFsnKymLVqlW4u7sz\nb948VCq75X7+0AB259Ty/NYihsz7hIB114POHeuspTyR6MAPJ8p5ZHwwj4y/+At5vyEDSM5JJfPg\ncYaeQ+S6Cluw1LaT3a8Ja62VIUPOZvIOdBuIUqrkZ30iTzz3BDl79vRqOzY2ljVr1pCfn09w8K9L\nXmtqamL//v0olUq2bt2Kg4MDj0WEsuREFY9+l8q7Nw/gg515vL8rj2u0Gv7RKiVMpkJs66YjswHt\nUK8zZQVXZa8isTKR5wY/h6/O94J9BrnpWHv/MO76KolHvktFIsCqe4agV8kRRZGdO3ei0+lYsGAB\nzc3N7N+/n6NHj3L06FH69+/PiBEj7DV0JeDQ14BDXwOGaX0RO61IVHbqkZGRAdBjbgeQOatwHONH\ny/ZiOmIbMIa64C+TkenoxmSccfj5ebht7dkDKtPs1SHaG+Gmb8ApgK5lD9CRX4Hb2C6oz7fX7D2F\nyX0m8+WBz8ndfBTnpk66y00ogwwYbw5l8b77aelq4TkzSEY+AXvfQFh3L0Nnfs5Q76Gk16WzMmsl\nhyoOccI/h2uz7uPj9knofdfy6MZMFo72pqA5n8qCJkIOjqNN1sqPwe8xJDieeI94fg9cDpH7WRCE\niaIobvtdRvAHQRRFqms2kpPzAhaLicDAx/D3W/i7E7hzIZVImRk8k/dT32dKxMPEht11anw2zOZc\nmptTaGsvpK2tiLb2Iuob9mCznSfJ4hfQaSMJDn6W/Dxn+kdfd1XH6zjBH02cBzLjlVv1TkMQBOKv\nm4l3WCQOWu15i0WfRmRkJLt372bv3r2Eh4cjkUiw2Wxs2LABuVzOlCl2M7XK24fB63aw96FbiF53\nkp+KxjPmkx8wJR9FU9NK7V2xZxJKrhY0Gg233XYbTU1N/3W1Vf/C7w9BEH5B9M6SMqWyg9GjTtjD\nLUzZmExZmMzZveJpVSp/dLpIdNoIdLoItLpIlIqLa11edQz7G6R8Ax8Pt1tB4haAgyNeWgn3jOzD\n/ZlHQJ8ALlcvu95gMBAXF0dSUhJDhw6lpqaG1atX4+npydy5c8+QOLDrpb15YzST393HfVuaWPdw\nOlKZkr+vSWNdajmPTwjhoXGXHpufvx8auYrc2iIS6tuROZ/tw3ykEqsDpJadJDQ0tIfeqFKqZKDb\nQBIrEy/oNg8LC0OtVpOcnPyridzevXsBWLhwIa2trRw6dIjMzDRuUgnkZpUz+dUyCk0yZsX68Px1\nkbR/k0nrrhLETgvYRDRx9rjAkpYS3jvyHpO6JjFUM/SS/brqlKxcOIQXN50kwtORuAB7ckB+fj6l\npaVcc801yOVyXFxcmD59OqNHj+bAgQMcO3aMkydP8uCDD/ZoT5AICKqz831GRgZubm64ufUWT9aN\n8qEttYbG9fk4z5ETP3AYa47uJVmcxeC8NZCxC0nEaISsTfDD3fZwgDt/As9oAJrVN4LwAY7GYvho\nKIx8Akv4PbRnNtORVstnZXYxadFHxHBdXzSDPDix9wXWVCcy16oi9M6NoHMHpaO9mohSC9OWEOUS\nxUvDX0I01VH0YSw7fQbSp2wwIfpcMp2W8WoS9GmPYHz6HaC24nejyBLftxno9ttd6xfC5RC5B4An\nBUHoBLr5E8qPXCk6O6vJyv4XdXU/4+jYn/CwV6+KC/XX4raI23BTuzGt77Qz6wRBglYbilbbM+5M\nFK10dFTR3l78i6BuLVKZGplUg1SqRhDsZvaC/N1XfayCIPwmEvdLeIWEXXKf01a5tWvXkp2dTXh4\nOCkpKRQXFzNt2rQeGl9SlYrRn61l5xuP0mfpTxy9fgISvR65Gsbe9sxVGfO5uNAk9Bf+wsUglapw\ndIzG0TH6zDpRFOnqqqXVdJLW1gxaW0/S2pJOTc3mM/soFe5odXZip9NGotNF4ODg8/vF3hkD4Y6t\nsOdV+Pl5e+zZ4PuQdUfx9AA9HMmFUe9c9W5HjBjBsWPHWL16NTU1NXh5eTF37lwcHHrPPW46B16f\nGc1dy47y6vZC6kxdbDhewROTQnlgzOXFGkskEsIiwjmemkrT4TJcrjlVDaGtm7b0OooCWmkva2fo\n0N7kZ7DnYN499i517XXnbVsmkzFgwAASExN/lS5hXV0dKSkpJCQknNEC9fX1paGhgcTERDiaTJCl\njpsHxHL3zH5IJBIUk/tQ814KLTtKkPtokXtosNqsvLDtBYaXDEdlUfH5558TExPDuHHj0GgunKSi\nUkh5+YZ+Z/4/bY3T6/XExPTU3jMYDFx77bXEx8fz8ccfn9nvfGhqaqK0tLRXhvJpCDIJhulB1H12\ngpr3U9EjQ69Qk4oj/l1fwdegC1qFvuwe8I6Bm78FnceZMbZs2ow6Ng75k6/D1qdo2ZZFy+ZUAOTG\nbhoTRB6tf5EnJjzNJN9oLFv+zksVm3BVanjg5s12vVSwVxPpaIZ9b9pJ3cSXQBAQDrxDn/YW5i+8\ngbXLzEwomotBdx2ZuZ1MMbugMyqZ/mgMWqerm9hwPlySyImieNXt+4Ig3Ag8D4QDCaIoHj1nux9w\nEnheFMU3r2bfDQ0HOJH+IDZbJ8FBz+DrO/8M8fmjoJaruSH4hsvaVxCkqFTeqFTnr+H3v4ioqCj2\n7NnDnj178PHxYfv27fj7+/eaRMBONMc9+S77gt9H9cIH6Ko6ODaxD4Pdz5Wi/wt/4c8FQRBQKt1Q\nKt1wcR59Zn13dwsm00k7sTNl0NqaQX39HsCeYSuValCp/FGrA+xLlT8qlT8qlQ8KhfNvDqnANx7m\nfm+PPdr7Jux+hcFSFeQFgVQJkTN+W/vngU6nY/Dgwezfvx9fX19uvfXW85K40xgf4c7cwX4sPVAE\nwNNTwrhn1JXFrUYN6Efy8WNkHTvJsElBCFIB87EabBYbqS05eHt74+fX26o/2GswHIPDlYfRcH5C\nFBMTw8GDB0lNTWXEiBFXNK7du3cjk8l6HWc0GrnmmmsYPXo0mzdvIT09ma++qmPGjBnovfWoBrjS\nnlp7xhr30ZaP8MzwxEHlwJxb55CTk0NiYiInT55k3LhxxMbGXlYMX05ODhUVFUybNg3ZBbwpbm5u\nDBo0iEOHDhEbe/7EutNu1aioqPNuB7tL1u1vMVgbOhBtNqK3ZLGvrQKTbzbGsi5MeQHoBs5CMuM9\newWRU+jMzKSrsBDj7beDoye267+g9cRBlLpSnMS3kbXl4pImQIA/axPfYNL+T/muJpFMZyNvjXwF\njeYcQeuxz0Jniz35x0EP/W+BI59B/zlIPcOZuKCd7xYnMarMlciWNhoEK2Pmh/1/IXFweYLA562c\nK4ri3t/Qbzp2bbpPLrD9bWDLb2j/vKiu3kTGycfRqAPp1+8D1OrLL0D/F/44SKVSRo4cybp16/jy\nyy/p7u5m2rRpF7VCjLjhQf5fe3ceH1V1Pn7888wkk8lOIAlLEgg7YQ2EVRFBBQGtSqV1/YrWSqvt\n96e1tmr5flv52dalttWqrWu1P23FvSouZV9EkDWRYAgEAdnCEiD7OnN+f8wFAtkmZJLJTJ736zWv\nuXPvnTPPHO/Eh3PuOWdjr96s/9vjTLh7fhtGqzqyffv2ccstt3D48GFEhLlz53L33XVHUjdHaGgM\ncXHjzxos5XJVWPNbbqO0dCfl5XspLv6ao0cX1RlNa7dH4QjtTKijCw5HZ0JD4wgJiSEkJNrzsEed\n2bYe9pBoQuzR1khfS9IouOFfcHgbBe/eT9fDn8Pw6yC85csj1ueiiy4iJiaGESNG1JkXsj7zZg7m\ncFElF/WP5xZr7rXm6NmzJxFh4XxTdpCM3OM40zpTuiGfA4klnCg6yWWXT633b86guEHEhsWy7tA6\nLuXSesuOj48nNTWVTZs2ceGFF3o96CE/P5/s7GwuuuiiBqdjiYiI4Nprv0u/fn35+OOPee6557j6\n6qvpP6M3tvAQwobHs+DfCziWeQx3rJu777ibqKgoevfuzciRI/nkk0/4+OOP2bx5M1dccQXJyckN\nxuN2u1m+fDlxcXGkp6c3eB7AxRdfTFZWFjt37sQYU6fusrOz6dGjh+c+ukY4ukdCd0+CPD7hKtY+\n/TSbjx/i2oEVHN0+jPI+DxMZevZKI4UffwwhIURf7rm9v2zLEUy1EHPHlYQkfR8Obsa+azlX7f43\nL1fks+3QVp5OTubCbmOYmlrPkAARmP6YZ3nK5b+DrdZE2ZMfACAmPpwpNw/iPy9mExvvZIGthFUf\nbOW9uy4gMqz1F9Dy5hNqr4nhBMYCm4D620O9YIzJAer9UYjINcBuoPR8y6/Pvv2vsWPHfDrFjmb4\n8BcIDQ3YnuEOadiwYaxcuZKCggIuueSSJtfFBRg96gpGv3hFk+cp5SshISH88Y9/ZNSoURQXF5OR\nkcHUqVMZPNi3LcJ2u5PYmBHExpw9cs/trqGy8iBlZXupqNhPVfVxqquOW88FVFQcpLh4GzU1xbhc\nTf+JFXEQEhJNmCOesLCuhIV1IyysK3vSxmC/8geExwwg3F3Z8la/eoSFhTVrWp9wh50Xb2l6sfeG\n2O12Bg1OY+uWLAq/PIAtMpSaw2Vs7baXuLg40tLS6n+fzc7YbmNZd2gdl3S5hNLqUnac2MH249vJ\nPZ7L7sLd/GjEj8jIyODdd99l9+7dXo9yX7ZsGU6ns94u3dpEhPT0dJKTk3n33XdZsGABY8eO5YKL\nL+C1N1/n273f8m3ctzz6w0eJijyTECYmJjJnzhyys7NZtGgRL730EhMmTOCyyy7Dbq/bU7V9+3by\n8/O55ppr6j1em9Pp5NJLL+Wjjz5i27ZtZ7W8FRQUcOjQIaZNa944yshu3RhQXc12u53Kq+8j5MQ3\nlKzLJ2J0t9P5hHG7Kfr4E6IuvJCQuDjPpP5fHCI0KQpHSrQnKUsZCyljuWbUDbz4/hXM7dWXalcl\nvxr3q4YbCGw2uOoZTzK3fSFM+Cl0OjNYpF9GIs7IdLokRdE3v5A5f1/PL97J4tkbR7X6tEPedK1+\np/ZrEUkBHm+NYEQkCrgfmArc54syjTHs3v0Uu/c8TXz8ZQwd8tR5Tb+h/Mtut3PllVeydevWJv+o\nKeUv3bt3P710W3R0NGlpaRw4cMDniVxDbLYQwsN7eka1N8EYFzU1JdTUFJ95uM5su6zn6poiqqqO\nUVmZT3FJDlVVxwBDVt7pTyU8PJmIiN5EhPf2PEf0ITKyPw5HfODMnQcMHjKYzVs2sysvjwHGxhFH\nMQdPHmbmzJmNtqKN7z6exXsXM79yPgX/Kji9PzYsFrvYeXD1g7w18y3Cw8PZtGmTV4ncvn372LFj\nB5deeulZAzzOVeOu4WDJQVKiU4iPj+f2229n6dKlrF27lg0bNmDEsD5hPfdccQ+JkXXv5xURhg0b\nxoABA1iyZAlr167l4MGDfO973zurFfBUa1x8fDzDhw+vU059Ro4cyfLly1m0aBEDBgw4PXFwQ6NV\nvTH2wgv5essWvvzoIyZMuIyT/95F1b7i03Oalm/eTE1+PjE//zngWVqt5kgZcbP717kWe8b0ZFTi\nKDYf2cxdI+5qekCcPQRm/x22vgODr65zOHmQp3XxougE7p8+iEc+3c6zy3YQ9s0qCgsLSUhIoHN8\nAjuLfPubkOYu2CCemvjKGDOsifOWAN3qOTTPGPOBdc4K4L5T98iJyBPAemPMWyLyEFDS0D1yIjIX\nmAuQkJCQ8dZbb9U5xzPP0+sYViJciMgcv98P15ZKSkoabI7vyLRe6gqGOomNjaVfP8/N7WHLf4Pt\nyLaWF2rwDO8C3IlDqJzifTf93r17mTFjBuvWrSMm5kwPQF5eHoWFdZcMCxSeiZIPEhFRheEomMNA\nPobDwGFqzRsPRAI9EHqAdPc80wPo1C4TPLfbzRdrviC1Kp7J1UP4NCaLw+6TTJgwodEWqCJXES8d\nfYkIE0FqeCpJjiSSHcl0sncivzqfP+T/gX5h/ZhWPI0DBw4wYcKE00lNQzIzMyktLWX8+PGNfvY7\nx99hZfFK4uxxDI0YyrDwYfRz9qPoeBG79u1iYcRC+sb1ZU6Cd2tC5efns2PHDkJCQhgyZMjpwQqH\nDx8mJyeHwYMHN2uA16FDh8jNzSU1NZXU1FQANmzYgN1ur/c+5yZVV5Pz/vsUdu7MuEmX0HdlCCVd\nDUeGG+xHjxL19juE5eRw9A+PY5xOum2xEX4c9kx2Y+qpxpzyHNaUrGFO/BxCxXezDxhjeC6rkupj\nexkecoj4+HiOl1RQVVFGCG7mz5+/yRhz/k3ItXhzj9zTnJnV0gakA1lNvc8YU/9aJ40bB8wWkceB\nToBbRCqMMc/UU/4LwAsAAwcONJMnTz7ruNtdSfa2ezl6dCW9ev6Ivn1/0S7/cLSmFStWcG69KK2X\n+gRDneTk5JwZERjq8PzruYVqXDWEnCon1IHDyxGHJSUlzJkzh6eeeoqkpLMHJjmdTkaObL2pCNpC\nQ9eLMYbKqsOUle6itDSP0tKdlJbmUVKaRU3NytP/IwkJifasPx3Zn8jIfkRE9iXcmYLTmXz2fXl+\nUFRUxNdZ2ZyoKeFA1TEmTZrU4MjK2q7iqgbrRbYLv/vyd8wYNgOz3xAREcHEiRMbLOubb75hxYoV\nTJ8+nfHjxzd4XuaRTFZ9uorJyZMREdYeXMvq4tVEhkZyQY8LyLPnEVIVwpNXPUlsmPdLCObn5/Pm\nm2+SlZXF5ZdfzujRo/nrX/9KYmIis2fPbtbExqcGa+Tm5jJr1iwqKytZsWIFM2bMYNy4cV6XU5tz\nzRo+AyLCQwnvG4ZtRznO5c9RmeNJTTrfdhuDp0+nprCS/EXriboomYsvrf+e+MlM5k7uPK84mtK7\n735e+fuX7CGBrfaRbDp5gkFdo/j55BSY77t7t735S1d7RGkN8IYxZo3PIqjFGHN6WE6tFrk6SZw3\ndu36I0ePfkb/fr+iZ88AXOtQKXX+Zjzqk2LKz2O6iOrqaq699lpuuukmvvtd34/obM9EBGdYN5xh\n3ejc+cLT+40xVFcXUGIldqeSvHPnzgNwOBIJdybhDE8h3JmEw5GAIywBR2g8Dkc8YWEJ2O1RrfYP\n88GDB5OZmcmKuFzslXafLL933cDr+PzA5zyz4xluT7qdTZs2ccEFF9SbEBljWLp0KTExMYwe3XCD\nTbWrmvlr59M1siuPTnqUyNBIKmoqWJ+/nuX7lrNy30qOlR/jmUufaVYSB9CtWzfmzp3L+++/z6ef\nfkpmZiYFBQVcd91157U6xdSpU8nNzWXx4sV07twZEWnR7QbDr7mG9S+/zKdLl5KUf4yJcVcR2W00\nsVdPJ/rSS3GkeO5dK/3yEBiIGte9iRJ9r6amhk8//oiIiAi+Lk/FXVDGo98dxvdGp2C3+fbabTSR\nE08/5FRjjO+m7faUOwt4GkgAPhaRTGPM5U28zWtFRVv5dt8rJPW4QZM4pVSbMcZw++23k5aWxr33\n+m4lkUAnIjgc8XR2xNM5bsJZx6qqCigr2015xX4qyvdRXnGAivJ9FBZu5siRjzHGVac8m81BSEgn\nQkJiCA2JJiQ0xhqJG+OZW9MWjs3uxG5zYreHY7M5sdud2Gzh1usw6zkcm82BzRZirYVrJzU1mbAw\nBwVlJxk1apRPbjkQEeZfMJ9rP7yWDTUb6HWiF3v27KHPOUtHgWcpsgMHDnDVVVc1OL0HwMvZL5N3\nMo9nL32WyFDPqE5niJNJyZOYlDwJ93g3JypO0CW8y3nFHB4ezvXXX8/nn3/OsmXL6N69O4MGNT33\nZ306derEBRdcwKpVqwgPDyc1NbXZ/0A6K7YRI7jaHsLWklIyuyfyjlnHyKS+XH7j9wl1eLpHTY2b\n0vX5OAd19tncp82xZs0aDh8+zPXXX8/clD44Q+2EO1rn1q5GEzljjEtEEkTEYYxpfDmBZjDGvA+8\n38Q5D51P2W53Ddtz5+FwdKFv31+eTxFKKXVe1qxZw2uvvcawYcNOT8/w+9//npkzZ/o5svbr1FrU\nnajb+mSMi+rqE1RVFXgGXFQdparqGFVVx6ipLrQGZhRRVXWcsrLd1mjcMtzuyno+yXtjx4Exgs22\ngBUr5yFiRyTUerYe2EFs1msbgg2Xu4z1G2Kt47Yzx/E8/7pXJ74uWENi9C5yd2yitKz36cSzqLiS\n/EMnyD98gj594khJKaa4ZDthjgRCQ+POWo/3m5Pf8MJXLzA9dTqTkuudIQyb2M47iTtdhjUhe//+\n/YmMjGxRK+jEiRPZsmULxcXFjc4d5w0RodeTf6YXcFFhIZ+89REbD+wk76mnmXHVFQwcOJDy7GO4\nS6qJmtCjRZ91Pg4fPszKlSsZOnToeSe/zeFN1+oeYI2IfEitKUGMMX9qraBaYv/+f1BcvI2hQ5/W\nKUaUUm1q4sSJNHcAmWqYiB2Hw9OlCgObPP8UY9y43ZW4XOW43RW4XBW43eXWa89+l7sct8uzDq4x\nNacfblNDRXkpxSUn6RzX6fQ+Y1wYU209u8C4Pdu4McYNxkVJ6REcjjjruMHg8sRiasBdSXSIjZ6R\ncZSbE1RXl3HyRBFV1SW4XGWIVBMRaTjVSPfV1jOrYorYcYTG43T2IDJqAO/v3cCgcDv3jbrLxzVe\nv1MjsVvC4XAwc+ZMFi9e3OBULucjNjaW639wIxse+ZS1ldt544036NWrF32Pd6F3l0TC+rXOPIcN\ncblcfPDBBzidztNLSLY2bxK5g9bDxpkFA9vlX6ry8v3s+ubPxHe5hMSEtqlApZRS7Ytn+UJPN2pb\nWrFiBekjJjd6TqWrkjlvz2HQ9jMtNX369GHUqFEMGNAHkWqqq09SVXXU0wJZeeT0dnn5t+w/9CHj\nQssZ1xmyN1xGXlgPoqOH0KXLxXSJn4IzrL7JItqHtLQ0nyZxp4jdxqDxQ+m6JIp9lwmbvtrMsuK9\nhNpDGfrRYdLT0+nZs2ebDHisPX1LY0uf+ZI3idzXxpi3a++wlthqV4wx5O74DSLCwIHzO9wIVaWU\nUu1fmD2Mhy9/mF8f/jXJUck8OOvBOqsbhIbGEhHRq857j5Qd4af/vorRXdL5TcYPKSnNpaRkO4WF\nmzh6bDHkQnTUELrETyEh/lKio4ee1SUbzCLHdqdo2T6GVvQgLaUru7fuZP+warZt28aWLVuIi4tj\nzJgxjBs3rsnJjAH27NnD5s2biYiIOL3G7alHQ8vFHT16lOXLl5OWltZmc0eCd4ncg8DbXuzzqyNH\nPqGgYAX9+/8PTmfb94krpZRS3ugf158rp13Jo+sfJeNIBtd3vt6r9z3y5SNUu2v4xYTfEx/Tk/j4\nyYCnIaO0dCfHCpZz7Ngy9uz5K3v2PIPDkUhS0o0kJ92Ew9H4UliBzh7jIHxoF0o35mNqDH0zBjJ6\nVn9mVM4kJyeHLVu2sGjRIjIzM/nOd75DSkpKveVUVFSwZBjRk0QAACAASURBVMkSNm7ciNPpxOVy\nUV1dfdY5YWFhOJ1OQkNDcTgcp5+PHTt2ugu5LRuTGkzkRGQGMBNIEpG/1DoUg2caknbEzY6d/5fo\n6KGkJN/i72CUUkqpRt046EZWH1jNExufYHTX0fSL69fo+Yv2LGLJt0u4e9TddVYgEBGiogYQFTWA\n1F4/orr6BAUFq8g//CG7dz/J3r3P0b37tfRMuS2o1xiPGt+D8q+OebatQQ5hYWGkp6eTnp7O9u3b\n+eSTT3j55ZcZPXo0l1122Vmta7m5uSxcuJCSkhLGjx/PJZdcQmhoKGVlZZw8efL0o7CwkMrKSqqq\nqqiurqaqqoqSkhIcDgfTp09v0Yjc89FYi9xBPHPIXYVnbdVTioGftWZQzXeC6mohfcTfO9TKDUop\npQKTiPDbC3/LtR9ey/2r7+eNK97AYa9/tYdV+1fx4OoHGdJlCHOGNL1CQ2hoHN26XU23bldTWprH\nt9++zMGDb3PgwL9ISJhKz54/pFNshq+/kt85escQmhSFLTyE0G51708bNGgQvXv3ZtmyZaxfv57t\n27czY8YMevXqxWeffUZ2djaJiYlcd911JCcnn35fZGQkkZGRdSb3bi8aTOSMMVlAloi8D5QaazIf\na245/069XUcxKcn3Eh3d/HXblFJKKX+ID4/n4Qsf5idLf8KTm5/kl2PqTpm1/Nvl3LvyXvp36s/z\nU58n1Na8ZaQiI/uRlvYIffrcy/4Dr7F//z85enQRiQkzGDDwIcIc8b76On4nIiTcMQwamXA3LCyM\nGTNmMHz4cD766CPefvttQkJCcLvdTJ48mYkTJzY6f1975M1dkIuA2kN/woElrRPO+QqhT597/B2E\nUkop1SyTkidx/cDree3r1/jiwBdnHVu8dzH3rriXtM5pvHT5S81eoaG2sLAE+va5l4kXrqZvn59z\n9NhS1q27nPz8D4JqyhybMwSbFxPvJiUlcccddzBt2jT69u3Lj3/8YyZPnhxwSRx4l8g5jTElp15Y\n2xGtF9L56IHd3s5CUkp1OBUVFYwdO5YRI0YwZMgQfvOb3/g7JBUAfj765/SN7cu8NfM4UXECgM92\nf8YvVv6CIfFDeH7q88Q4fDMvqt0eQWrqXYwb+xGREb3Z9vW9fPXVXCoq831SfiCx2+1ccMEF3HDD\nDSQmJvo7nPPmTSJXKiKjTr0QkQygvPVCOh8dY3i1Uqp9CwsLY9myZWRlZZGZmclnn33GunXr/B2W\nauecIU4em/QYhZWF/PqLX/PRro+4f/X9jEgYwfNTnyfa4fub5yMj+5GR8Sb9+/8Px098wbp1l3Pg\n4JtB1TrXUXjThngP8LaIHAQE6AZc16pRKaVUCzy2/jG2H9/e4nJcLtfpOacGdR7E/WPvb/R8z+hB\nz9qc1dXVVFdX65yWyisDOw/kZxk/4/ENj7Ni3wrGdhvL05c8TURo6/U2idjpmXIb8V0uIWf7g2zf\n/itOHP+CwYP/gM1W/8AL1f40mcgZYzaIyCDOrI+Sa4ypbuw9SinVUblcLjIyMsjLy+MnP/kJ48aN\n83dIKkDclHYTW49updpdze8v+j3hIW2zMkVERC9GjXydvXufZ9c3T1BTU8SwYc/qLUsBoslETkQi\ngHuBXsaYO0Skv4gMNMYsbP3wlFKq+ZpqOfNWcXFxs+eEstvtZGZmcvLkSWbNmkV2dnaLFwlXHYNN\nbDx+8eN++WwRG6mpdxLq6Mz27f/Dlsw5jBj+EqGh5z/AQrUNb24uewWoAiZYrw8Av221iJRSKgh0\n6tSJKVOm8Nlnn/k7FKW8ltTjOoYNfZqiomw2bb6eysoj/g5JNcGbRK6vMeZxoBrAGFOG5145pZRS\ntRw9epSTJ08CUF5ezuLFixk0aFAT71KqfUlMnE76iJeoqNjPxk3fp6xsr79DUo3wJpGrEpFwwACI\nSF+gslWjUkqpAHTo0CGmTJnC8OHDGTNmDFOnTuXKK6/0d1hKNVvnzhcycuTr1NQUs2nzdZSU5Po7\nJNUAb0at/gb4DEgRkX8CFwK3tmZQSikViIYPH86WLVv8HYZSPhEbM4KMjAVkbplDZtbtjB3zAQ5H\nF3+HFfCshbJ8xptRq4tFZDMwHk+X6t3GmGM+jUIppZRS7U5UZH+Gj3iBTZu+T/a2u0kf8So2W+Ct\nfuBPxhhKy/I4cWKt9fjSp+V7+1/jYmAinu7VUOB9n0ahlFJKqXYpJnoogwY+zNc5v2TXN0/Qv98D\n/g6p3aqqKqCkdAelpTs9j5KdlJTupKbGc++s05lMYsLlgO9a7r2ZfuSvQD/gDWvXj0TkMmPMT3wW\nhVJKKaXare7dr6Ww6Cu+/fZFYmKG0zVxpr9D8poxBre7EmOqrZUr3IDBGDcGA+bMa8+z5xxjanC5\nK3G7ynG5ynC5K05vV1UVUFV17PSjsuoYVVVHqakpPP25ISHRREb2JzHxcmJiRtA57gLCw1Oso4/6\n7Pt50yJ3MTDUWOt2iMg/gK0+i0AppZRS7d6A/vMoKd5GTs79REb2Jyqyv99icbnKKCv/lory/VRU\n7Ke84gAVFfupKD9AdU0hbncFbnel9ahqlRjs9kgcjngcjngiI/sSFzeOiPBUIiP7ExnVnzBH1zZZ\n2cWbRC4X6AmcGn+cAnzVahEppZRSqt2x2RwMG/Ys6zdcxdatdzJm9PuEhPh+HdiGVFQc4tixpRw9\ntoQTJ77EmDMJms3mxOlMJjw8icio/thsTmy2MOy2sNPbYgtBxLPknmADsVnPgiDWawFsVgJmw24P\nx2Z3YrdFYLc7sdnDsdvCcTg6t5uVL7xJ5LoAOSKy3no9BlgrIh8CGGOuaq3glFIq0LhcLkaPHk1S\nUhILF+oCOCq4hIV1ZejQZ9iy5Wa2fX0fw4f9DRFvZjI7PyUluRw5+h+OHVtCcfE2AMLDU0lJ/i9i\nYkbgDE8m3JlEaGiXDruusTeJ3K9bPQqllAoSTz31FGlpaRQVFfk7FKVaRVynMfTr9wA7d/6WvXuf\nIzX1Lp9/RmXlYfLyHiP/8AeAEBs7in59f0l8/GVERvb1+ecFMm+mH1kJICJdgEnAt8aYTa0dmFJK\nBZr9+/fz8ccfM2/ePP70pz/5OxylWk1K8q0UFWWx65s/E9tpDHGdxvikXLe7in37/8Hu3U/jdleT\n2usuUlLm4HDE+6T8YNRgIiciC4EHjDHZItId2AxsBPqKyAvGmCfbKkillGqO/N//nsqc7S0up8bl\n4rjdc09NWNoguv3qV42ef8899/D4449TXFzc4s9Wqj0TEQYN/C1FRVls2/Yzxo1dSGhopxaVWXD8\nc3bs+L+Ule0ivssl9O8/j4iIVN8EHMQa69jubYzJtrZvAxYbY74DjAN+0OqRKaVUAFm4cCGJiYlk\nZGT4OxSl2kRISBRDhzxFVdUxcnIesKbtaL7q6hN8tfUuMjPnYEw1I4a/yIgRL2oS56XGulara21f\nCrwIYIwpFhF3q0allFIt0FTLmbeKi4uJjvZuVN6aNWv48MMP+eSTT6ioqKCoqIibb76Z119/3Sex\nKNUexcQMp2/f+8jLe4QDB/5JcvLNzXp/WdluMrNup7LyEH363EvPlB9it4e1UrTBqbEWuX0i8t8i\nMgsYhWe9VUQkHM/qDkoppSyPPPII+/fvZ8+ePSxYsIBLLrlEkzjVIfRM+QFdOk9iZ97vKC7x/paG\nEyc3sGHjbGpqihk58nV6p/5Ek7jz0FgidzswBLgVuM4Yc9LaPx54pZXjUkoppVQAELExePAfCAmJ\nJTv7blyusibfk5//IVu23ILDEcfojHfoFKu3JJyvBhM5Y8wRY8yPjTFXG2MW1dq/3BjzRNuEp5RS\ngWfy5Mk6h5zqUByOeIYM/iNlZbvYsfO3DZ5njGH37mfY9vXPiI1NZ3TGO0RE9GrDSIOPN/PIKaWU\nUko1qnPnC+nVcy57v32emOjhxMaOxJi9FBZlYUwNxu3i0KF3OJT/Lt26XUPaoN9js2lXakv5JZET\nkYeBq/GsXHsEuNUYc7DW8THAWuB6Y8w7/ohRKaWUUs3Tp8/POHHyS7bnzju9b+PGs8/p3ftueqf+\nd4ddicHX/NUi9wdjzP8CiMj/wbN6xI+t13bgMWBRw29XSimlVHtjs4UyMv1VCo6vRrCxbVsOw4al\nI+JZ59ThiCcqaoC/wwwqTSZyIvI48FugHM/I1RHAPcaY8x6OZYypvXZNJFB78pn/Bt7Fs6arUkop\npQJISEg0XRNnAvD1107i4yf7N6AgJ01N4CcimcaYdGsakmuAnwHLjTEjWvTBIr8DbgEKgSnGmKMi\nkgT8C5gC/B1Y2FDXqojMBeYCJCQkZLz11lstCScolZSUEBUV5e8w2h2tl7qCoU5iY2Pp16+fT8t0\nuVzYrZUdfCUvL4/CwkKfltnWguF6aQ1aL3VpndRvypQpm4wxo31Rljddq6fOuQJ4wxhz3Jt+bRFZ\nAnSr59A8Y8wHxph5wDwReRD4KfAb4EngfmOMu6nPMMa8ALwAMHDgQDN58mQvvkrHsmLFCrRe6tJ6\nqSsY6iQnJ8fryXu91ZwJgb3ldDoZOXKkT8tsa8FwvbQGrZe6tE5anzeJ3EIR2Y6na/VOEUkAKpp6\nkzHmMi9j+CfwCZ5EbjSwwEri4oGZIlJjjPm3l2UppZRSSnUYTSZyxpgHrPvkCo0xLhEpxTPi9LyJ\nSH9jzE7r5dXAduuzetc651U8XauaxCmlAkZqairR0dHY7XZCQkLYeO6QPaWU8iFvBjt8D/jMSuL+\nB89yXb8F8lvwuY+KyEA804/sxRqxqpRSwWD58uXEx8f7OwylVAfgTdfq/xpj3haRicDlwBPA34Bx\n5/uhxphrvTjn1vMtXynVsa1+awfH9pW0uJzagx3iU6K46Ps6bYJSqn1pbK3VU1zW8xXA34wxHwCO\n1gtJKaUCl4gwbdo0MjIyeOGFF/wdjlIqyHnTIndARJ4HpgKPiUgY3iWASinlF75qOTufUauff/45\nSUlJHDlyhKlTpzJo0CAmTZrkk3iUUupc3iRk3wf+A1xujDkJdAZ+0apRKaVUgEpKSgIgMTGRWbNm\nsX79ej9HpJQKZk0mcsaYMmAXcLmI/BRINMbo8llKKXWO0tJSiouLT28vWrSIoUOH+jkqpVQw82bU\n6t3AHcB71q7XReQFY8zTrRqZUkoFmMOHDzNr1iwAampquPHGG5k+fbqfo1JKBTNv7pG7HRhnjCkF\nEJHHgLWAJnJKKVVLnz59yMrK8ncYSqkOxJt75IQzI1extpteo0sppZRSSrUqb1rkXgG+FJH3rdfX\nAC+3XkhKKaWUUsob3izR9ScRWQFMtHbdZozZ0qpRKaWUUkqpJjWayImIHcgyxgwFNrdNSEoppZRS\nyhuN3iNnjHEBWSLSs43iUUoppZRSXvJmsEN3YJuILBWRD089WjswpZQKRCdPnmT27NkMGjSItLQ0\n1q5d6++QlFJBzJvBDvNbPQqllAoSd999N9OnT+edd96hqqqKsrIyf4eklApiDSZyItIP6GqMWXnO\n/knAgdYOTCmlAk1hYSGrVq3i1VdfBcDhcOBwOPwblFIqqDXWIvck8Kt69pdZx77TKhEppVQLLX/1\nBY7s/abF5bhqXNhD7AAk9urDlFvnNnr+7t27SUhI4LbbbiMrK4uMjAyeeuopIiMjWxyLUkrVp7F7\n5FKNMV+du9MYsxFIbbWIlFIqQNXU1LB582buvPNOtmzZQmRkJI8++qi/w1JKBbHGWuScjRwL93Ug\nSinlK021nHmruLiY6Ohor89PTk4mOTmZcePGATB79mxN5JRSraqxFrkNInLHuTtF5IfAptYLSSml\nAlO3bt1ISUkhNzcXgKVLlzJ48GA/R6WUCmaNtcjdA7wvIjdxJnEbDTiAWa0dmFJKBaKnn36am266\niaqqKvr06cMrr7zi75CUUkGswUTOGHMYuEBEpgBDrd0fG2OWtUlkSikVgNLT09m4caO/w1BKdRDe\nrLW6HFjeBrEopZRSSqlm8GZlB6WUUkop1Q5pIqeUUkopFaA0kVNKKaWUClCayCmllFJKBShN5JRS\nSimlApQmckoppZRSAUoTOaWU8pHc3FzS09NPP2JiYnjyySf9HZZSKog1OY+cUkop7wwcOJDMzEwA\nXC4XSUlJzJqlC+EopVqPJnJKqaBz8qNdVB0sbXE5LlcN5XbPn0lHj0g6faev1+9dunQpffv2pVev\nXi2OQymlGqJdq0op1QoWLFjADTfc4O8wlFJBzi8tciLyEHAHcNTa9StjzCe1jvcEvgYeMsY80fYR\nKqUCWXNazhpTXFxMdHR0s99XVVXFhx9+yCOPPOKTOJRSqiH+7Fr9cyNJ2p+AT9syGKWU8pVPP/2U\nUaNG0bVrV3+HopQKcu3uHjkRuQbYDbT8BhellPKDN954Q7tVlVJtQowxbf+hnq7VW4EiYCPwc2PM\nCRGJAhYDU4H7gJKGWu1EZC4wFyAhISHjrbfeaoPIA0tJSQlRUVH+DqPd0XqpKxjqJDY2ln79+vm0\nTJfLhd1ub9Z7SktLGTx4MF999RWxsbF1jufl5VFYWOirEP0iGK6X1qD1UpfWSf2mTJmyyRgz2hdl\ntVoiJyJLgG71HJoHrAOOAQZ4GOhujPmBiDwBrDfGvGUlew0mcrUNHDjQ5Obm+i74ILFixQomT57s\n7zDaHa2XuoKhTnJyckhLS/Npmed7j1xjWiPOthYM10tr0HqpS+ukfiLis0Su1bpWjTGXeXOeiLwI\nLLRejgNmi8jjQCfALSIVxphnWilMpZRSSqmA5a9Rq92NMYesl7OAbABjzEW1znkIT4ucJnFKKaWU\nUvXw12CHx0UkHU/X6h7gR36KQymllFIqYPklkTPG/JcX5zzUBqEopZRSSgUsXdlBKaWUUipAaSKn\nlFI+9Oc//5khQ4YwdOhQbrjhBioqKvwdklIqiGkip5RSPnLgwAH+8pe/sHHjRrKzs3G5XCxYsMDf\nYSmlgpgmckop5UM1NTWUl5dTU1NDWVkZPXr08HdISqkg1u6W6FJKqZb69NNPyc/Pb3E5tVd26Nat\nGzNmzGj0/KSkJO677z569uxJeHg406ZNY9q0aS2OQymlGqItckop5SMnTpzggw8+YPfu3Rw8eJDS\n0lJef/11f4ellApi2iKnlAo6TbWceau5S3QtWbKE3r17k5CQAMB3v/tdvvjiC26++WafxKOUUufS\nFjmllPKRnj17sm7dOsrKyjDGsHTp0oBfV1Up1b5pIqeUUj4ybtw4Zs+ezahRoxg2bBhut5u5c+f6\nOyylVBDTrlWllPKh+fPnM3/+fH+HoZTqILRFTimllFIqQGkip5RSSikVoDSRU0oppZQKUJrIKaWU\nUkoFKE3klFJKKaUClCZySimllFIBShM5pZRSSqkApYmcUkr50FNPPcXQoUMZMmQITz75pL/DUUoF\nOU3klFLKR7Kzs3nxxRdZv349WVlZLFy4kLy8PH+HpZQKYrqyg1Iq6OzY8TDFJTktLsflqsFu9/yZ\njI5KY8CA/230/JycHMaNG0dERAQAF198Me+99x6//OUvWxyLUkrVR1vklFLKR4YOHcrq1aspKCig\nrKyMTz75hH379vk7LKVUENMWOaVU0Gmq5cxbxcXFREdHe31+Wloa999/P9OmTSMyMpL09HTsdrtP\nYlFKqfpoi5xSSvnQ7bffzqZNm1i1ahVxcXEMGDDA3yEppYKYtsgppZQPHTlyhMTERL799lvee+89\n1q1b5++QlFJBTBM5pZTyoWuvvZaCggJCQ0N59tln6dSpk79DUkoFMU3klFLKh1avXu3vEJRSHYje\nI6eUUkopFaA0kVNKKaWUClCayCmlgoYxxt8hNKq9x6eUCjyayCmlgoLT6aSgoKDdJkvGGAoKCnA6\nnf4ORSkVRHSwg1IqKCQnJ7N//36OHj3qszIrKip8mng5nU6Sk5N9Vp5SSvklkRORN4GB1stOwElj\nTHqt4z2Br4GHjDFP+CFEpVSACQ0NpXfv3j4tc8WKFYwcOdKnZSqllC/5JZEzxlx3altE/ggUnnPK\nn4BP2zQopZRSSqkA49euVRER4PvAJbX2XQPsBkr9FZdSSimlVCDw92CHi4DDxpidACISBdwPzPdr\nVEoppZRSAaDVWuREZAnQrZ5D84wxH1jbNwBv1Dr2EPBnY0yJp7Gu0fLnAnOtl5Uikt2yiINSPHDM\n30G0Q1ovdWmd1E/rpX5aL/XTeqlL66R+A5s+xTvir6H6IhICHAAyjDH7rX2rgRTrlE6AG/i1MeaZ\nJsraaIwZ3ZrxBiKtl/ppvdSldVI/rZf6ab3UT+ulLq2T+vmyXvx5j9xlwPZTSRyAMeaiU9si8hBQ\n0lQSp5RSSinVUfnzHrnrObtbVSmllFJKNYPfWuSMMbc2cfyhZhT3QouCCV5aL/XTeqlL66R+Wi/1\n03qpn9ZLXVon9fNZvfjtHjmllFJKKdUy/p5+RCmllFJKnSdN5JRSSimlAlTAJ3IiMl1EckUkT0Qe\n8Hc8bUlE9ojIVhHJFJGN1r7OIrJYRHZaz3HWfhGRv1j19JWIjPJv9L4jIn8XkSO15xI8n3oQkTnW\n+TtFZI4/vosvNVAvD4nIAeuayRSRmbWOPWjVS66IXF5rf9D8xkQkRUSWi8jXIrJNRO629nfo66WR\neuno14tTRNaLSJZVL/Ot/b1F5EvrO74pIg5rf5j1Os86nlqrrHrrKxA1Ui+visjuWtdLurW/Q/yO\nAETELiJbRGSh9br1rxVjTMA+ADuwC+gDOIAsYLC/42rD778HiD9n3+PAA9b2A8Bj1vZMPOvXCjAe\n+NLf8fuwHiYBo4Ds860HoDPwjfUcZ23H+fu7tUK9PATcV8+5g63fTxjQ2/pd2YPtNwZ0B0ZZ29HA\nDuu7d+jrpZF66ejXiwBR1nYo8KV1HbwFXG/tfw6409q+C3jO2r4eeLOx+vL392uFenkVmF3P+R3i\nd2R9p3uBfwELrdetfq0EeovcWCDPGPONMaYKWABc7eeY/O1q4B/W9j+Aa2rt/3/GYx3QSUS6+yNA\nXzPGrAKOn7O7ufVwObDYGHPcGHMCWAxMb/3oW08D9dKQq4EFxphKY8xuIA/P7yuofmPGmEPGmM3W\ndjGQAyTRwa+XRuqlIR3lejHGmBLrZaj1MHjWB3/H2n/u9XLqOnoHuFREhIbrKyA1Ui8N6RC/IxFJ\nBq4AXrJeC21wrQR6IpcE7Kv1ej+N//EJNgZYJCKbxLNkGUBXY8whazsf6Gptd7S6am49dKT6+anV\nvfH3U12IdMB6sboyRuJpTdDrxXJOvUAHv16srrJM4AieRGMXcNIYU2OdUvs7nv7+1vFCoAsdoF6M\nMaeul99Z18ufRSTM2tdRrpcngV/iWZUKPP/tW/1aCfRErqObaIwZBcwAfiIik2ofNJ522g4/v4zW\nw1n+BvQF0oFDwB/9G45/iEgU8C5wjzGmqPaxjny91FMvHf56Mca4jDHpQDKelpFBfg6pXTi3XkRk\nKPAgnvoZg6e79H4/htimRORK4IgxZlNbf3agJ3IHOLM2K3guqAN+iqXNGWMOWM9HgPfx/JE5fKrL\n1Ho+Yp3e0eqqufXQIerHGHPY+gPsBl7kTJN9h6kXEQnFk6z80xjznrW7w18v9dWLXi9nGGNOAsuB\nCXi6Bk9NqF/7O57+/tbxWKCAjlEv060uemOMqQReoWNdLxcCV4nIHjy3FFwCPEUbXCuBnshtAPpb\no0IceG4Y/NDPMbUJEYkUkehT28A0IBvP9z818mcO8IG1/SFwizV6aDxQWKsrKRg1tx7+A0wTkTir\n+2iatS+onHNf5Cw81wx46uV6ayRVb6A/sJ4g+41Z96C8DOQYY/5U61CHvl4aqhe9XiRBRDpZ2+HA\nVDz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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10,5)\n",
"for iab,iad in zip(iiab,iiad):\n",
" y1 = y[iab:iad]\n",
" P, ff = csd(y1, y1, NFFT=1000, Fs=fs);\n",
" \n",
"legend(arange(len(iiab))+1);\n",
"xlim(0,4000);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"На спектре видно несколько частотных пиков: 1800, 2100, 2200 Гц. \n",
"\n",
"Спектральная плотность для 1 и 2 звуков ниже, чем для остальных. В 3-, 5- и 6-м звуках есть более высокие второстепенные тоны с частой свыше 2400 Гц.\n",
"\n",
"Более детальная структура звука определяет его тембр. Идеи дальнейшего анализа отдельных звуковых формантов могут появиться при анализе спектрограмм. Построим спектрограмму каждого из 8 звуков длительностью около 100 мс."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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m9j9JuiapK+n/0hAut++cu7erbkhaH/37uqTro7GpmR1oCLFbl/TpYx99fMwJ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\n+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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axx = subplots(1,8, sharex=True, sharey=True, figsize=(14,3), subplot_kw=dict(xticks=[0.05,0.1]))\n",
"for i,iab in enumerate(iiab[:8]):\n",
" axes(axx[i])\n",
" specgram(y[iab-fs//40:iab+5600], NFFT=1000, Fs=fs, noverlap=0)\n",
" ylim(0,10000)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"На спектрограммах видно, что частотный пик первых двух звуков стабильный, а у остальных шести - повышается. Также у звуков с третьего по пятый заметна обертоника в районе 4000 Гц, которая звучит вместе с частотой 6500 Гц.\n",
"Эти частотные пики мы уже видели на спектре мощности всей звукозаписи. Сравнение спектрограмм позволяет оценить спектральную неоднородность отдельных звуков и выявить динамическую смену частотного состава."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
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