{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C6\"\n", "

Onset Detection

\n", "
\n", "\n", "
\n", "\n", "

\n", "Following Section 6.1 of [Müller, FMP, Springer 2015], we introduce in this notebook the task referred to as onset detection. An overview of onset detection methods can also be found in the following articles:\n", "\n", "

\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Musical Onsets\n", "\n", "The notion of a musical onset can be rather vague and is related to other concepts such as attacks or transients. When playing a note on an instrument such as a piano, there is often a sudden increase of energy at the beginning of a musical tone. The **attack** of a note refers to the phase where the sound builds up, which typically goes along with a sharply increasing amplitude envelope. The related concept of a **transient** refers to a noise-like sound component of short duration and high amplitude typically occurring at the beginning of a musical tone or a more general sound event. As opposed to the attack and transient, the **onset** of a note refers to the single instant (rather than a period) that marks the beginning of the transient, or the earliest time point at which the transient can be reliably detected. This is illustrated by the following figure.\n", "\n", "\"FMP_C6_F02b\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Intuitively speaking, **onset detection** is the task of determining the starting times of notes or other musical events as they occur in a music recording. To detect note onsets in the signal, the general idea is to capture sudden changes that often mark the beginning of transient regions. For notes that have a pronounced attack phase, onset candidates may be determined by locating time positions where the signal's amplitude envelope starts increasing. In the following figure, we show the waveform and the spectrogram of a click sound as well as of a piano sound (playing the note C4):" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:06.682597Z", "iopub.status.busy": "2024-02-15T08:48:06.682293Z", "iopub.status.idle": "2024-02-15T08:48:09.388034Z", "shell.execute_reply": "2024-02-15T08:48:09.387500Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os, sys\n", "import sys\n", "import numpy as np\n", "from scipy import signal\n", "from matplotlib import pyplot as plt\n", "import librosa\n", "import IPython.display as ipd\n", "import pandas as pd\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c2\n", "import libfmp.c6\n", "\n", "%matplotlib inline\n", "\n", "def plot_wav_spectrogram(fn_wav, xlim=None, audio=True):\n", " \"\"\"Plot waveform and computed spectrogram and may display audio\n", " Notebook: C6/C6S1_OnsetDetection.ipynb\n", " \"\"\"\n", " Fs = 22050\n", " x, Fs = librosa.load(fn_wav, Fs) \n", " plt.figure(figsize=(8,2)) \n", " ax = plt.subplot(1,2,1)\n", " libfmp.b.plot_signal(x, Fs, ax=ax)\n", " if xlim!=None: plt.xlim(xlim)\n", " ax = plt.subplot(1,2,2)\n", " N, H = 512, 256 \n", " X = librosa.stft(x, n_fft=N, hop_length=H, win_length=N, window='hanning')\n", " Y = np.log(1 + 10 * np.abs(X))\n", " libfmp.b.plot_matrix(Y, Fs=Fs/H, Fs_F=N/Fs, ax=[ax], colorbar=False)\n", " plt.ylim([0,5000])\n", " if xlim is not None: plt.xlim(xlim)\n", " plt.tight_layout()\n", " plt.show()\n", " if audio: ipd.display(ipd.Audio(x, rate=Fs))\n", "\n", " \n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F04_Impulse.wav')\n", "plot_wav_spectrogram(fn_wav)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F04_NoteC4_Piano.wav')\n", "plot_wav_spectrogram(fn_wav)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When there is no clear attack phase, such as for nonpercussive music with soft onsets and blurred note transitions, the detection of onsets is much more challenging. For example, the waveform of a violin sound may exhibit a slow energy increase rather than an abrupt change as in a piano sound. For soft sounds, it is hard to determine or even to define the exact onset position. This is illustrated by the violin example (sound of C4) of the next figure:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:09.391823Z", "iopub.status.busy": "2024-02-15T08:48:09.391567Z", "iopub.status.idle": "2024-02-15T08:48:09.583254Z", "shell.execute_reply": "2024-02-15T08:48:09.582720Z" } }, "outputs": [ { "data": { "image/png": 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hIx1FKXjkPZC/A7mNPMbF/nZeSYF4/rEu+l3U7eBcR5AvN8H8/DxDQ0MALC4uvqrHaDQafOITn9h22Z/92Z+9pAgSlMtlreyvBywsLBCNRvUMsYs3DwzDsAD7gT6gCpwwTXPt2q7q8uDVqKQ6b3fhF7e05oUM7PV6tVPTedYtyiPxPumU6EqHZ3Nzk3w+v614qFar+nyFQgGn06lE487iSYqRUqlEvV5XSXc4HNbNbmVlRb1YPB4Pp06dYv/+/bRaLbLZrEqfV1ZWWFtb0+7Qnj17qNfr+lpCoRDHjh0jn88Tj8epVqsMDQ3hdDqV2Fsul1laWtKOldvtpqenRzfFSqWCy+XizJkzqkqCrU08EAjoaK3VanHu3DntZLjdboLBoH7vWSwWVldXVc5tGIZ2fdrttnJXFhcXSafT+P1+ms2m8ngAlfMLOViUSKOjo+RyOZxOJz6fj6WlJbLZLMVicRtnyO/302q1KJVKZDIZJfmm02ldQyKRwG63UygUWFxcpK+vT1VWMlZMJpP6uPPz8/T19dFut3E4HGSzWSUGO51OTp48qco86TKFw2FarRbNZpNCoUA6naa/v59QKMTS0hJer5dIJKLjT4vFQq1WUxKxHM8LvZVE5XcpdeGFJwCX+tt6LegWONcRjhw5su33Bx98kA996EMALxlNXQpPP/30K95GvkhN0+R3fud3gJd2gU6ePMnf/u3f8lM/9VO43W58Pt+rev7XA1EcpFIpPvnJT150PV1868IwjDHgF4D7gSkgBbiAccMwKsCfAn9umubmpR/lWwsX8/a4cETVWexIl0S4JpVKRf1UxPvG6/VqF0ZUPU6nU7saXq9XR1DZbJZWq0WlUsE0TWq1Gmtra9TrdeW0BAIB9TWpVqt4vV4l/TocDpxOJ6dOnWJkZIR0Ok0oFKLZbDIzM6PdhUajQT6fJ5FIUK1W8fl8ZLNZpqamVH7carVYW1sjm82yf/9+JVBPT0+zuLjI5uYmTqeTTCZDqVTi0KFDAKyvr1MsFllaWlKZc6VSIZfLsXv3blZWVvQ5Ogu1VCqFYRjs2bOHYrFIrVZT7xzpkGSzWQKBADt27NAiolAoAFtS6tnZWSYnJ+nr62NiYkJ9fgqFAn6/n1KpRDabxWKx8MADD+jrOHz4MPV6HYvFwsDAAIuLi5RKJe68807OnDlDLpfTIlDIxcJZ6unpYW5uTsngw8PDuN1uVldXWV9fZ3x8HIfDwfHjxymVStRqNWKxmBYt6+vrTExMUKlUWFtbY3FxkUajwcGDB5menmZjY4N8Pk9fXx/JZJLHH3+cRqPBwMCAdrE2NjYYHx9nampKVXfyWTEMg9XVVVVsVatV+vv7gW+OpKRbI59z+b+TP3bh38Ol/n4uxOuRkHcLnOsErVaLf/zHf9x2mXgawFY351LoPBN8NYXQ0aNH+dznPreNu/O5z32O9773vfr73/7t3wLwx3/8xwC8853v5Pbbb38Vr+S1YXFxkf/xP/7HSy6/sM0p7fGrhWq1ymOPPcYDDzyw7Q/q61//OnNzc/zIj/zIJe8rY8Zukab4DeC/Az9pXrDrG4bRA/wL4IeBP78Ga7sseKU2+qV+ltvK2a7IgYWwKmfXch+r1aojAjHjC4fDbGxsKFk1GAzi8XhwuVw6cvD5fMrFkPFGqVRStUwkEsHpdLJ3717K5TI2mw273U4wGOTw4cOsrKzgcDhIJBLcf//9LC4ukkwmdeTz6U9/WsccFouF/v5+7rjjDvWnectb3sI//uM/8uijj2r3KRqN8u53v1vHLtVqldXVVZ555hmq1aqqpW655RZV6rTbbc6ePcujjz6qRNuRkRFVTZVKJQKBAAsLCzzxxBPa1dmxYwfDw8NqlpjNZllZWeHIkSM0m00GBwfZt28fkUiEM2fOcNttt3HixAk2NjY4c+YMNpuNZDLJoUOHdKTkcrk4fPgwn/nMZ3Q01NfXx549e+jt7WV6epq3v/3tPP300/z93/+9Ps/g4CDRaBSbzaYqpKNHjypxemxsjLGxMXw+HwsLC4yPj9PX18fx48c5c+YMVquVkZEREomEyr9HRkao1WocP35cP3u33XabErXj8TixWIwjR47w4osv8uKLL9Jut7n33ntpNpsEAgFM02Rubo6lpSWazSaJRILh4WEGBwd1hLR79261MhAfJCFne71egG1dGil4LqUgvNjfgPz+Sn83rwbdAuc6wNraGn/yJ3/yuu//ajb/Tt+cL3/5y8AWQVlw5MiRbQXOhfjHf/zHy1LgyNxWcOzYsYve7sknn+Stb30rsNWV+tKXvsRP//RP89hjj3H27Fl+9md/9rKP1eQPfGRkhN/+7d/WdXQWKo888giwNQp8pWMuiokL8eSTT/LlL3+ZD33oQ0Sj0cv3Aq5TmKb5L17mujXgv1691VwZXOzs9GJf5pcqhDpltp1f9NKt6TRmkxGF0+nE7/dTLpeJRqOUSiXlVng8HlU8yTjH6/XSaDQIhUKq/InH42xsbCjBVP4+7XY7i4uL9Pf3s2/fPlUh7d69m3K5TDAYBGBqagqXy8Xw8LB2QEKhELt378ZqtVIqlQiFQtjtdm677TZWVlaUMzM8PEy9Xicej6vqa8eOHSqFHhwc1ILO4XBo9yocDivn5tChQ+odIx2RSCSCy+VicHCQTCbD+Pi4EoVXV1dJJpMkEglisZjKvMWl2DRN9dm59dZbWVtbY2VlheHhYZxOp/KDgsEgxWKRiYkJ9ZaxWCz09PRgsVhUEu/z+bj33ns5ffo0ABMTEyrJLpVKuFwu7HY7999/P8ePH8fhcBAKhfS4CMlbjoWMHuWYCYeoVqsxOjpKb2+v8oXE06ZWq+ll+/fvV2l/pVLR2IlKpYLFYiEcDhONRgkGg+Tzee3GSCFmGAbRaFQ/K5VKRbk5hmHod3tnoSL+SZ1/J8JfuvDv5JUKmtdKNr4+iBff5ngjxc2rRS6X05+FXHghXolwLl9ggk996lN89KMffcnll8If/dEf8bGPfYyvfe1retmlyJudnagvfelLAPy3//bfOHr0KMVikf/r//q/XtVzXgrVapWNjY1tl33+85/nz//8z/nCF76w7fJarfaS+1/sMkBVKQAzMzM8+eSTLzmuUmB+8YtfJJ1O89GPfpS//uu/fl2v41sJhmGcMwzj31xw2eev1XquBGSTfK1fxNKdkO4NoARV6WQK4VjIuG63Wzs0gBoASoxBoVBQIzjpbtRqNer1Om63WwnB8Xhcf/f5fHpGLsaCFouFkZER+vr6sFgsVKtVNjc3WVtbo9VqUS6XiUQi3HTTTRw8eJB9+/aRTqex2+1Eo1HK5bIqb3bu3Kl8EykECoWC8kjq9TqhUIhEIqHHQtyMxd3YbrcTCATo7+/XgqZUKm2TL0vHYGJiQo+hdB2azaZ664yOjrJ7927d7GV8ZpqmjuX6+/vVyVcKLjmGm5ubjI6OMjExQTweV9l9vV5X3k0+n9fjl8vlWF9f1/gL8SgSybbwXzpl7rVajY2NDbxeLzt37tT4jVwuR7lcVt6UzWbDYrHQ19enyrrO4yycHjkGMvaT7l6pVCKZTOJwOFhdXdXPjrw3xWJRP2/FYlHHn1JgdRr2Se7VhQqpzr+RS/3tyGNcDlyWDo5hGO8Efh+wAp8wTfNjF1x/L/BZYOb8RX9vmuavX47n/laHSBkvhWKxqMS5S+G3fuu3+Kmf+qlLysUBDh8+zDvf+c6XfZyFhQWGhoYuWeicOXOGW275JlF9enoagK9+9at83/d938s+tpyhwZaPz3333feyt7+SeOaZZ/jiF78IwC//8i9rZ0s4UBcWXZOTkxw4cGDbZQ8++CB33303F4YwHj58WH/++7//e2CroIlGo8qnEpw7d44//MM/1Of4NkATuM8wjNvZGlc1gP5rvKbLilf6Yr4UD0E25HQ6rcZ7spnIhi1RBUL+FQWRqGtcLpfyZ8SITzYi8bORjpCMWKSrk06nmZ6e1q5LpVLRkcvAwIBGK5w4cUI3PzHFi8fj+P1+PB4Pg4ODKht/4oknVF1kGAa7d+9m9+7djIyMMD09zeTkJGfPntVoBJfLxbvf/W4WFxeJxWKcPXuWpaUlyuWyKpJisRg9PT309/cTCAQ4cuQIhUKBcrmshZfP52N0dJShoSEsFguTk5MsLi6SzWZ1Iz5w4ACnT5/G7/czOjrK0aNHyefzytlxOp3s2rULu93OrbfeytzcHA8//DC1Wo1UKqVFw0033aTj9EajwRNPPEG9Xufhhx/GYrHw2GOPMTIywp133onT6eTLX/6yegbl83mcTidnzpzB4/Fwyy23MDU1pSOiTCaj7288HueGG27QEeMLL7xAKpWiUqmo6un222/XeI+lpSUdP8pJl81mY/fu3YTDYUKhEHNzc6ysrFAoFKjVarhcLgYGBrDZbExMTHD48GFM06RQKCjnau/evWpA2Gq1yGQyuFwuLf4kW0w+053mi6KIE3uDCzlonQqry4U3XOAYhmEF/gh4AFgEnjUM40HTNE9ecNPHTNN8zxt9vjcbzp0797LX/97v/R6jo6Ov+Dh//Md/zL/7d//uktc//fTTr1jgpNNphoaGmJu7eIbiF77whW0FjuD48eMcP36ckZERfvRHf3TbdeVyGavVyoMPPviKr+FqQYob2Dr+u3fvftnbP/bYYxw4cIBsNrvtfp3v3S/90i/hcDi2jf06IZvBy22AnSF0b1JUTNP854Zh/AfgMcMwfgC4fn0qLgNebSdHbiOqIBlLSfvfZrPh9Xo1XkGiC6R74/f7WV9fp1KpEA6HWVtbwzAM7VoA+pj1ep1sNquPL2fgwucQFZSQd48ePaqcnlKpxM6dO3WDl06mfGdI12FhYUHJzBLuuLKygt1u59y5cwQCAWZnZ/H5fITDYZrNJq1WixdffJFKpcINN9zA9PQ0hUKBwcFB9eyp1+ucO3dOzf3EXTiZTBIKhbSrIERou93O1NQUjUZD86REXSTjukwmw+zsrI6tGo0G1WqVubk5Wq0WGxsbNBoN1tbWGB0d1eBKi8XCiRMn1ExwfX2djY0NBgcH9T0tFArMzMyQyWSUGyTPI8emVqupyWE+n9fXEwwG9X0ulUo8++yzOvKu1WoMDw9rh63RaHD69GmazSb9/f0sLS0RCoXo6ekBtoqbfD7P0tISc3Nz2uHbu3evkprr9TqZTIZWq6XcnVAopJ5G0pWSQkSUWWNjY9sUbMIRk0LmQquEC3k2F/s7uNTfzWvt7FyODs5twFnTNKfPL+DTwHcDFxY4XVwEnZvtpTAzM/OKt4GtEdDLYXV1VVuiF8ODDz7IwYMHL1ngdOJiY67Z2Vmef/75bd0OUWldCbwaHkwnHn/8cfWC6LzslQqcTCajz3cp/NZv/RYf+chHOH78+CVvI/P/S0HOrn/jN36DdrvNr/7qr162Vu11AgPANM3fNgzjMPAlIPKq77x1MvUcsGSa5nsMw4gAfw2MALPAD5immT1/218CfhxoAz9tmuaXzl9+M/BngBt4CPiZC4nP1wqmaSpnQnxTRDLearVwuVzazYlGo2qzL9lEAB6Ph0QioWfWbrebcDiMYWzlBkkHo1AoaKdAkrDj8TgHDx7E6/WytLSEz+fj6NGjnD17Vjk/Ho8Hv99PNBolEomoYd1XvvIVjVEol8tqFDc6Okqr1WJzc5OjR4+yvr6Ow+HQXCUxqItEIszPz2uXRUYyMkYKhUIqQ3/xxRex2+3aAUkkEtx4440YhkE8Hmd+fp5z587pKM/r9RIKhdi7d6/mVZ08eVKzvJrNJtFolB07dqhaqFQqsby8rN+ZTqeT/v5+RkZGGB4e1pH/E088oZ2Uzc1NYrEYu3fvJpFIaIEjyqpyuUwsFmPnzp309vYqp0aKIOnQDQwMcOutt+rv4XCY5557jsnJSR2NjY6OsnPnTh0XBYNBnn32WYrFoq53eHgYr9dLIpHQ1/nUU08pb8bv99PT08Pg4KAWwWfOnNHPTk9PD2NjY8oNEyK4pNNXKhUCgYBKy+v1utp7iGRciiD5fAvXTHCpZPHLwb+By1Pg9AMLHb8vAhdjo95pGMYxYBn4sGmaJy72YIZhfBD4IKAeMG9myBnY1cCf/umfvuJtDh8+rETal0OnwqsTn/3sZ7XAudDX58L7vxqC7ezs7CWvW1tb07OlUqnEww8/zHd913fxW7/1W2xubvLAAw9w11136e2/+tWvvuQxXq2/EFyaEP1q8Rd/8Rf8+I//+CWvP336NGNjY0rI+5M/+RP+7b/9t2/oOa8z/Kr8YJrmw4ZhfCfwoy9z+wvxM8ApIHD+918EHjZN82OGYfzi+d9/wTCMPcAPAjey5bnzVcMwxk3TbLOl5vog8BRbBc47gVc+y3ideLVfyPLlLV2SXC6n8nAZVRUKBfU6EfVKNpvVkYDP59Mgx5GRETKZDD6fD6/XSz6f1xRst9utRNJQKEStViOXyzE8PEw2m2VtbY1oNMr6+jqHDh3innvu4dy5c0QiEUxzK4Op3W4TCASYnJzEMAx27dqF1Wqlv7+fZDLJ4uIiiUSCbDaLaW45A99zzz3a3QG4+eab1b1XnIBvv/12HZlJYRQIBDSgU2TO4uw7Pj6ugZbr6+tsbm7S39+vxniVSoWBgQEMw6DVarGwsEChUCAYDLJ3714AVlZWlNPj9Xo5deoU4XCYAwcO0Gg0WFlZwe/3K0dHyMGFQoGJiQldg2SIScdK3Jbf8Y53sLa2xo4dO1hcXMTj8bC6urotsTwUCqlj88bGhsr8g8EgL7zwAiMjI+zYsUPHeZJCLiMpu93Orl27tGCIxWJUKhWCwSBzc3MMDQ1hs9k4ePAgANlsFrfbjd/vV+8lSWDfv3+/mjV2ZqLJz4ODg2SzWRwOhxK+q9UqFouFYrGIz+djc3NTo0HEr0kUbGI82fnZ7zT5u9TfzLVSUV3sWS88IzoCDJumWTIM493APwC7LvZgpml+HPg4bDmIXob1dfEa8PnPvzrOpxB/Lwb5sn65Auepp55i//79L/sc1Wr1ZQucZ599Vguc3/3d3wW2/nDFbOorX/mKFjivxHW6kHB8MTz55JOveJuXg7SiL4XHH398G3l5fX2d6elpJXl+q8IwjEPnf1zq+Fnwqj5whmEMAN8F/Cbw8+cv/m7g3vM//znwCFt+O98NfNo0zTowYxjGWeA2wzBmgYBpmk+ef8y/AL6HK1jgdOLlzkDlco/Hg91uVxdiMZ3rdN8Vgz3xZBGCqZiticpKHqter2unJpfLaZhmMpnUQsnpdHLu3DlM0ySXy3H69GmVictJmGyksCU4mJ+fxzC24hJEVSXP4XQ6mZ6e1pGLEKCj0Sg9PT1ks1n1a5EiyOfzqWmcuAwHg0EWFhaUdxSNRsnn89jtdg4cOEC5XKbZbLK0tKRZS1IUiWxdPILkhKhQKOi4KBwO4/F4GBgYIJ/PMzk5SbFYVBfj/v5+Td8uFovU63VOnjyJw+FQYvHa2poqjCTqYHJykkAggNvtplQqMTAwwOrqKl6vl0AgwLFjx7SLMjExQblc1nws+e6cnp5W52k5DlarVY+BmA4K5+bAgQNKJJbPwfHjx8nn8xw7dgy/36/ZUclkEqvVyvLyMplMRjs0u3fv1k5LJBJREnMmkyGRSCjPU1LDxePIMLZS58VfTXhJUnCJIWVnF7zTH+dKNVEvR4GzCAx2/D7AVpdGYZpmoePnhwzD+GPDMGKmab7yrvImxMLCAj6fTx0wv5Vw5MgRJicnX9aX57nnnuPWW2+9pEJKbvNK9vci1b4Ujh8//hJy86XGa5/5zGde9rFe7Rjw5XApZVUnvv71r1/yutXV1ZcouD71qU8BfKsnx/9ux883szVmkp3eBF7NC/uvwH8AOhn3PaZprgCYprliGEbi/OX9bHVoBIvnL2ue//nCy1+Cq91Jli97IYSK6kg2K4vFQqlU0pOGVCqlxYYYvYlkGNC2/+bmJsVikUwmo7wIu92uhOBIJEK1WiWTyai5W6vV0uddWVnhtttu27bBnzp1SnkaEu0QjUYJhUJafEiqdqf5mxRusViMeDzO9PQ08/Pz2vmw2+0sLS0xPDyMy+UinU5z+vRpMpmMdi3EnBC2iqyTJ0+SzWbV4FB4Qblcjvvuu4/l5WWazSYnTpzQVPNWq8XIyAjr6+vKJRETPulQpVIpzfGKx+MsLi5q90c6a3JSND4+zunTp+nv7+cb3/iGdjssFguBwFaz8ZZbbiGbzTI9Pa0xGUJmLpVK2lF74YUXWFxcVIPEZrOpHBmRtMvjSEaYjJxyuRxDQ0PEYjGOHTtGKpVSSkKpVGJjY4OVlRVGRkaIRqPMz88zNzeHw+HQSI9KpUIkEiEUCnH48GHa7bYSxdPpNJlMhmg0qrYBzz//PJFIBIfDsS1hXHLR5HMoieGdHBvBhSqrzr+JV7JZeCVcjgLnWWCXYRijwBJbreEf6ryBYRhJYM00TdMwjNvYkqdf+lT2TQrTNFlfX1e33m9FfO5zn3vF27zwwgsYhsEzzzxzFVa01WJ+JbwSr0ik25eCjI1eDp0k5Evh1az1YvhWTo43TVMlc4ZhHDVN8zW9EMMw3gOsm6Z5+Lwi8xXvcrFlvMzlL73wCnSSX+6LWUYoprmV1yMcDik4DMNQwmi1WiUSieimFovFtJCR/CVx2RVe19jYmG4qtVqNYrHI9PQ0Z8+epdVqKZlUbP2j0ah2K8QwT4wD77jjDpWUW61WlpaWOHr0qKp9lpeXqdfr7Nu3j6GhIbLZLC6Xi8cee4z5+XnW1tZUgv6ud71LZc65XI6TJ0+ysrLC6uqqBonefPPNxONxHV2dOnWK9fV16vU6hrEVqXD77bcTDoep1WqcPn2abDbLP/3TP+l4paenh/3791MoFLSzsbm5ycLCAo1GA4/Hw65du7jxxhvJ5/Pkcjmmp6c5fvy4FpLCG5Lk8kgkwte//nWOHj1KOBzmzJkzhEIh3v72t2O329W47/nnn+drX/uamidGo1GGhobwer3UajXW19fVT6jRaODz+RgfH1dFq2EYnDx5kqNHj2oHLxqNsnPnTgKBAOVyGdM0efrpp5menlayuTghj4yMaGflkUceYWNjQztdb3vb21T5ZLPZeP7551laWmJtbQ2v14vH4+HGG2/UxPJUKqVFcqVSYXx8XINOAc2mkugQ+TzL88vISorUzoLnQoHFdUEyNk2zZRjGh9giDFqBT5qmeUL8LkzT/BPgfcC/NQyjxVYGzQ9eL8S+q4HPfvazPP/889d6GVcNi4uLr4nb8kZw6tSpl32uV6tMeiUu1Gc/+9lXfIyPf/zjr3ibLl6XauotwD87P952AQHDMP4SWDMMo/d896YXWD9/+0t1lRfP/3zh5dcc8nUo3ZV2u635QkIQFrKxyG83NzcJh8NUq1UCgQDJZFJ5H8JrqVarBINBHVlIZ8jlcrG0tKQBlcFgkHA4rFLeXC5Hs9nkxhtvJBwOk0qliEaj+P1+zYoSeXo4HGbHjh24XC6CwaDGQQh3SNLCDx48qH4yDoeD/v5+9W6R13PnnXdSKBS06BD+jmySgUCA/fv3qypIRi4Oh0MN+CYmJhgdHVXyb39//zblU71e5+DBg9olSafT7NixQwm/pVKJkZER4vG4egd5vV7Nz8rn83i9Xur1Ot/xHd/B7OwssViM1dVVotEolUpFj5XVauW+++4jk8lsc4cuFotqwhgOhxkeHtb3ZmxsTDth5XKZdrvN/v37icViGkYaCASU9yKRCbfccovezzS3ksilqxyPx2k2mzzwwANK/q1WqzgcDl2LHH8ZMRYKBc05EwL8nj179GRPgkjl8yvdOjH266QqdBKJ5b2Gb0Y8XClcFh8c0zQfYouw13nZn3T8/IfAH16O5/pWw4kTJ76tipurjb/5m7952eunpqZeccTw4osvvuLzvJw6qosrC9M0fwn4JVBPrQ+bpvkBwzD+C1sk5Y+d/1+q0AeB/2UYxu+xRTLeBTxjmmbbMIyiYRh3AE8DPwL8wdV8LZeCjI9ksxEZtxQU9Xpdz/Cz2aya4ImhmpzZlkol2u028Xj8JRtUsVjUM2pR54ipnxRGtVpNRx/BYJB0Ok1vb6963ciGKKMwt9utnjvBYJBgMKhn6F6vV4sV8WqREZN0fnw+H4ZhEAgEsNlsWK1WlY1HIhH195GNXTgnHo+Hnp4eYrGYKnsMw9B0btlkxcVYzAJl9CTjqUQioZu9yLbFZE88aMQTqF6vMz8/TzKZ1FTxdDpNLBbD6XQqmVlGXM1mE9M0CYVCL+GjiIR+YWEBt9sNoG7QIksXYz15b/r7+5XIKxlgoVBI1XVCIg8EAjQaDaxWq0rn5TMmny3D2Eqcl1BXp9O5LTlcuDFCYu5URRmGof47nY7EDodDk9ZlRAWocaKYRwrnRv5d7xycLi6BSqXC//7f//taL+PbGo8//jif/vSnX/Y2f/d3f3eVVvPG0Jku/60EwzD+gG92bgYMw/hvndebpvnTr/OhPwb8jWEYPw7MA+8//3gnDMP4G7asKlrAvzuvoAL4t3xTJv5FrhLB+JVgnHcgttlsKlH2+XzqFGyaJmfOnFFZrnBwhHsippsWi0XHPeKPUiwW1VlYnsPj8RAMBhkfH2dubo6FhQWWl5fJ5/PKD5Huwlve8hZ1rD127Jj6w4ixnoy3du7cqWOzo0ePqtpLRm833ngjfX193HDDDZRKJV544QVWVlbY3NykUChgmiZve9vbKBQKvPOd7+Thhx/WzKh2u60ydenSJBIJvvCFL2hIp3k+ugCgv7+f/v5+UqkU6XSacrmsqdylUomenh58Ph+FQgHDMFhYWKBarapSyzRNbrjhBpWHt9ttjh49Srlc1tdlt9vZvXs3hw4dUh+bhYUFvV6OdW9vL7feeiurq6vMzc3RaDQ0uNM0Tfr7+4lGo1ognThxglQqRblc1mIzEAhw44036vE+efIkuVyOr371q9p9vummm3A4HAwPDzM1NcXKyor62siI6F3vepeS11OplL6XzWaTZrOJ1+tlx44d3HHHHRw7dkzHntKBGR4eJhaL0dfXR6PRYHl5mWg0SqvVIhaLaXHTGc8gXRopkMRHRzo5V9L7y7ieJ0W33HKL+UpE1OsVc3Nz/Nmf/dm1XkYXbzJcTwGehmEcNk3zpc6PL73dy0rBTdO8rkM2r8b3kJBbxQnbbrfjdrspFos6VhF1kMQtCEFVNg0hB8v9pGsgG5iMg9rtto4NDMPQzg6gG6F0MsTzBNB1BINBDZyUmBbpIMDWuFcyoyR5WtYmSdwSQxEKhYjH47rxd8qexVdFHHKtVqt2hCTUM5/PEwgENL5BXo8UVcIFicfjOmaSIk6MDqWTEAgEiMViLC0tqZxZDAil8yABoCJ17/QuktcXDAaViyJOwh6PRzlDorgSB+FQKKRdNomqkKIGtnh7YponXCi73a6dLXmdQqAWJVo4HKZcLusYs5OALt0/SVeX4yYhp/F4XB2kpcATDx6v10ssFlNF6IEDB1hbWyMUChEIBPQ9B7Z54XR2e2QdchvDMN5QoXOp76JuB+cywzRNHnzwwe5YqosuzuN6L2CuF1gsFhKJBLVajb6+Ph0BjIyMMDc3h8vlor+/n42NDd1sxBbB7XbTbDbVowW+KeUVya8USLlcTg3sSqUSrVaLwcFBenp61DxTMoxOnDjBk08+qUWRz+dj165dKveemZmhWq1y7NgxMpmMmtMlk0l27dqlPBubzcYjjzxCOp1W9dHOnTvZt28fxWKRm266CavVyosvvkitViObzepzDQ4O4nA4GBkZ4fOf/zypVIq1tTXlFY2MjBAIBNi3bx+Li4usra2xvr6uBOKenh4OHDhAJBIhlUrhdruZnJxkdXVV1xKLxRgfH2dgYEA7KTMzM6ytrWlQZ19fH/v27WNlZYV/+S//Jc8++yyLi4vk83kdG/b399Pb20s0GmVpaQmv18vc3JwWdT09Pdx+++1MTU3R399PJpPR5HERKXzHd3wHL774ohZue/bs4eTJk6yvr+vY6tZbb8Vut+tnZX5+ntnZWRYXF2k2m3g8HiVV33HHHczPz1OpVDh8+LB2ZHw+HzfccIPyeYLBICdOnFCDydHRUbLZLIcOHWJlZQWn06lqq2QyST6f1zgM+bxc2LnpHJ9KcXNhavjr8bd5teh2cC4jvvCFL7yi9LmLLt4owuEwP/3Tr3eqc/nwGjo4Hwf+m2maLyE7GYbhBf45UDdN8/+7Ast8w7ga30Nypnv69GmCwaBm+MjmIcop6ehIR0GyqqLRKM1mk+XlZSUYC2FZDOrEibbZbJJIJJibm8NqterGNj4+rllHYjQoPIrOnKdMJkMwGKS/v5/19XVqtZpu4OLRMjg4qN2VbDarozWXy6WbmkiYg8GgdiMsFgvZbFal1jabTUd1LpeL+fl5fU3FYpF4PI7L5cLn89FoNHRkJ146YpCYSCS2ZTItLS0p4VcMEiORCGtra/h8PpXoyxhLeFBitLdv3z5OnDiBx+PRDpjH49FxjXCdhKC8vLysXkDiPjw4OKgeNn6/H7fbzfr6OmNjY2xsbFCtVpmYmGBtbU2LkEQiwczMjIZ4SiclGo3qyMvj8ZDP5+nt7VWllt1uZ2VlRSX9klfm9/u1cyQjwOXlZeLxOLlcjkqlom7Z0pmRbozI6iX/TDybOjk8sN3I78IAzk4OTreDcx1jY2OjW9x0cVUgxmhX8sznMuOPgV81DGMf8CKQYksNtYstV+JPAtdlcXO10NmiF3m0kGnlfRbVTKPRUIWPKKYAHU8BqkAS/xrh+Igb7cbGBslkkvX1dXU3FuJsoVDQMYlIrMVUcHV1VcmszWaT3t5e1tfXabVajI6OavcgFAoRCoVIp9PaZRAuTX9/v3rVBINBZmZm8Pv92gXw+/0qf5fRnGEYGvPgdDpVvbW5uUm5XMbtdnP27FlVbPl8PiVYBwIBvF4vGxsb2O12enp6KBaLKrsvFouEw2Hl+dhsNo15kG6DFFjNZlPzq6Qo8/v96kQspnfyHsmxTCaTmOZWQnkikdBCzjwfViojIhkRilHhqVOn2Lt3rya3Ly0tqS+PYRisrKxo0ejxeNSLRrKm5B+g3TspSIT8vby8JST0+/2qlhNHYrvdTiaT0QJIuEcSDSKfx1gsBqCjUvm8yWdbujpyPDuJxV2S8XWOj370o9d6CV18m+Gzn/0s3/M933Otl/GqYJrm88APGIbhA24Betmyizhlmubpa7m26wXyBS/+MyLDbrfb2p3Y3NzE4XDgdrupVqvaqYCtWBSHw6GdikKhgMViYWpqahuXRjbQThdjGS08/fTT6oQbCASUtCvFz+LiooY62mw2AoGABsyKLFtCJMWBXPgj0sERN2953hdeeEE9e3w+H4ODg4RCIex2O2tra1gsFs6ePUu1WtVNVNyFxXNHwjOl0+F2u7cVgIZhMD8/z+LiIrVajYWFBSW6+nw+DcIVQ0Rxhu7p6VHX52azSS6XU7fknp4eJfSKYqpUKuHz+ZiZmVEysgRRSmCq3+9ncXGRQqFAs9kkHo/jcDhUzi6Bl4uLi8qZEc+geDxOMBhkY2ODcrmspoOAjtEkhsNut7O8vKwFTaFQ0M9WJBJRztCJEydUWi6dsJ6eHhYWFnREKp45IvkWTtPi4qIWgZ0cnc4Tr055OHwzb09uI4VQt8C5TiGha110cTVx7Nixb5kCR2CaZomtOIUuLgEh/3YapAkvpt1uK4FYxkcSoigk5eXlZUzT1GgSKYQ8Hs82cu+5c+cAdHwhG1knJElbiMzlclkdiZ1OpxrgSWdBijCv10tvb6+OHTwej/JzGo0G09PTBAIBTcaWMYrY/ot6qF6va3yDdBusVqt2EZ577rlt4w8h/FarVU6cOIHb7dYiQcZ10sGSCAnpRogMvFPdMzs7S39/P7lcTkczctxlZHfy5Fam9PLyMo1Gg4mJCeCbnYpMJkM+n98mX8/n87hcrm3ZVn19fTrySqVSAFpc5nI5LR5SqZSOlozzMRnFYpFms0k+n2dsbIypqSkldovS69ixY0pSXlhYIBQKqU+SpMhLaOvk5KR2huTYejwejVnI5/N6W4fDQSAQ0PdZOpGdHUkZScE3CcVS2FzpLnS3wHmD+P3f//1rvYQuuujiTQDpcITDYSUQd8Y3uFwu7Qx4vV4dg4gUu3MsMDIygmEYpNNpVTyJhT6gZNHJyUkGBwdptVr4fD5M01TOTyaTIRwOa4r14OAg0WiUvr4+3SzT6TSjo6MsLy/reEM8feLxOGNjY1QqFfx+P9PT01rABYNBTfAGVNEjnBkJspQoiGazid/vJ51O60ij1WoRiWyF0QeDQS0I7XY76XRaCcUjIyPKB5LcJzm+Iqnv6enRLpGMjnp6epifn9fwyP7+fsrlsiqNTNPUTpMovDweD7t379ZiScaEuVxOOT1C0LXb7ToGlCJDFErNZpPBwUHlQjmdTlqtFuvr6/j9fgYHB9Vt2Ol0srS0xO7duzl+/DjhcFjHS+FwmNXVVd797neTz+e1SJKYoIGBAer1OolEgnPnzunYTjKnZAwnZpEej0dzzeTYS1inFLcSnCrS8E71lORXdRalVxLdAucN4D//5/98rZfQxbcxFhYWNGy0i299VKtV5bMIXwRQsqp0IIRULMGOxWKR3t5ePB4PL774ogY8yijLbrfj8/l0zOLz+XC5XGSzWR1VCbFXuhWyHsMweOtb30q5XNYuTbPZVD5NtVplfHxcOyVCPBbvk/n5eQqFAr29vYTDYfx+vxKBDcMgn88rYVpSuHt6etRMr1wuKzdHukCDg4NMT0/rZirFi/jLwBbfJBQKEQwGaTabbGxsqB+MSNhF8t5sNimXy1gsFvUcEqKwkIglwHRlZUWl65KhJWZ6UmDJeFAIxpKz5fV6yWazxGIxlpeXlZArXQwpkgYGBpRvJXwVKeqExJzJZPQ4Sup4KpXC5XKxe/duVldXWVlZYW1tjd7eXnK53LYAUjGMHB0dZXFxkaWlJe3ilUolvF6vFknFYlFdi6Xb5fF4WFlZUTK41WrVoruzO3OhJF3GUcLh6hxVXQl0C5zXgaWlJT7xiU9c62V08W2OT37yk9eVL84rwTCMvRdTUnXxTSfjer2um4acOdfrdR0lOJ1OKpWKdgiESLu+vq7jKlG7ZLNZEomEmtcJOVduI+oeGVfMzc0RCoV44YUXlCuxb98+Wq0Wq6ur6nuzsbGhfjKZTEZ9XGq1mm78Xq8Xh8Oh4ZJutxu73a6uwxMTE0oKnp2d1RgG8fkRoq74uiwsLGC323VUJPJ2yaianZ2lVqtx0003cfLkSarVKr29veo1IzwaGXFZLBYGBwdZWlrSkZHD4WBlZYVgMEgymdTxnBBsxcW5Wq0SDofJ5/O02231zJHORDweZ2FhQUdJ4jQciURYWVnh3Llz1Ot1SqUSDodD1VQSnFmv10mlUuTzeRYWFjh48CBnz57Vgk1GXnK9uE4nEgl8Pp/ybuLxOKurqzz77LNq2jg2NkY0GmVxcRGLxcLXv/71bW7RBw4cwOfz4fF4lEh88uRJvF4vfX196nzc2THM5/OMj4+rtF98eTpHU+KALNlggBZuV5Jk3JWJv0ZMTk7y13/919d6GV10AcAv/dIvaR7M1carlYl33P4bgIMtJ+H/ZZpm7got7bLianwPSUHy0EMP6dk+fDOEULoP0i1ot9tqqCcbh8ViIZfLaaEjXZFaraYydCmghEsiG5aEwArBFtDNyev1sm/fPsrlMnNzc2QyGSwWCz09PTqucDqd7NmzR2XrQm52uVxKVoUtLsf4+Dh2u51jx47hcDiIRqOaiC4cn0gksq3gC4VCala3ubnJrl27aLfbzM/PK9fE4/GonDubzTI8PKzdsGq1qoWYzWbTUd9NN93E3NycHuOenh6VkMtz9/T0UCqVyGazaswno7ZcLkc8HicSiZDP57WL4nA4ME1Tj/2uXbvI5/MaNeF0OlUtJqOqkZERUqkUGxsbbG5ukkgkKJfLlMtlNWkUgrBETXi9XjVzFI6W2+3WQFUpHOXzIJ2UQCCgXS3pkEnht7m5STAYVNl5LBZTVZ4cQ7vdTigUYnl5mT179gAQCoXU3FEKc+lCdXJvxBdJPhPyWZPP3etBVyZ+GdBVS3VxveGzn/0s73//+6/1Ml4VTNO82zCMXcCPAc8ZhvEM8D9N0/zKNV7adQFRJvl8PiKRiG6wUkQAOmaQzoaMhqTIkcslpNFms+H1evF6vVitVmq1mo5kcrmcFhVer5dEIqG+MlJYLS4ualyCcErGxsZwOp1853d+Jy+++CLFYpHZ2VkWFhZ0pCOeMLt27dJN+ty5czoukoDMPXv2cPfdd5PJZHj22WdZWVnZ1rHyer0kk0n27dunXZGVlRV1c7ZYLBodEIvFVA116tQpJVWLFHv37t3KX1pYWCCVSqkXj9PpZHh4WI3votEok5OTFAoFJT0HAgESiQT33HMPJ06cwO/3c/jwYVVQVSoVAoEABw4cALY2/Oeff55cLqdFltVqZceOHYRCIe6//34+//nP0263WVhYIJPJsLm5SU9PD36/n9tvv52ZmRkdW66srKjKLZlMEgwGOXToEMVikY2NDaampqhUKpTLZTY3N9mxYwetVosbb7xRX4MYKdbrdRwOBxMTE+zcuVMNCcX8UIJcvV4vd911l3boAI2y8Pl8DA8PMz4+jsfj0UL3Qvdi6dqI1P5CgrF8rq4Euh2cV8D8/Dx2u72bFN3FdY1rMap6rR2cjvtZge8B/htQAAzgl03T/PvLu8LLg6vxPSROwU888QQ333wzjUZDz9BrtRo+n498Pr+NdFur1QgEAuTzeeVznDt3jp07dzI3N0ez2WTHjh3K+xBeTyAQ0NHNiRMnVN3zwAMPUCwWKZfLyrO56aab+OpXv6oJ4sVikb1791KpVNTQLZvNqimc8H927NihKeBy1n7mzBl1XpYOwK5du2g2m6yurqqJoIxupCgbGhrSTXBubo7BwUEKhQLr6+v4fD4mJibUb0dGQdPT0xqhYLFYOHToELOzs7TbbZLJJIuLizrCkeLF4XCoj4yQmufn58lms9hsNoaGhmi32+qbUygUcDgcnDt3jlAoxOrqKkNDQ2xubuL3+2m1WgQCAVKpFLOzs1qMic+MyLIzmQzNZpNMJoPP59MATSluJUR0aWlJC1hxVE4kEqTTaQYGBmg2mxw5ckTjGSSlXLo/8j6tr6/r2G3Xrl1EIhF1x5bir9FoMDw8TDKZpFaraedHOEMy9pPfpXvUqf6Tz6TkXNnt9m1Oxp3mf1eqg9MtcC4C0zSZnp7mL//yL6/6c3fRxevBvffey9ve9rar+pyvY0R1E/B/AN8FfAX4H6ZpHjEMow940jTN4Su01DeEq1XglEolTp48SSgUUs6Hw+HAZrMxNzdHMBhURZXb7aavr0/t+6Xjs7i4yI4dOygUClQqFS1wXC4XkUiEpaUlIpGIkoXX1tYIBoNks1n10RE/mEAgoMoZp9Op3JuxsTFmZmbw+Xzq0yMKn+HhYZVX1+t17eaIZFs4RPF4XDs1sViMfD6vCp1wOKzRAAKbzaY8nGQyqVwYq9WKz+djbW2NZDKJ3+9nc3NTJebLy8vYbDYtYpxOJ/Pz83i9XsrlsmZEWSwWdQ0WMrfb7ebUqVOa/RSJRFhdXdX0cxlTif+MdHDS6bQ6AQP4fD4t4MQssDMrSzb2QCBApVLR4lE6HCKzF68gIUqL8iqbzepxrlar7Nu3TwtY6ZYUi0WV9kvSe6VS0XgIUVeJQk6yy6xWKxsbG8RiMeVSiQGlRDoEg0Hgm15MkhYv0vYLgzWFC9UZ2dAdUV0F1Ot1Pvaxj13rZXTRxWvGI488ctULnNeBPwT+X7a6NVW50DTNZcMw/tO1W9a1h5ztiny61WqRz+fxer2qgpKN1OFwqPkbbHFk5PJDhw4xPT2NYRgkk0mmpqaUvAoocdfpdBIKhejp6VFi69LSEqdPn8YwDB0prK+vMzQ0pInXdrudxx57TGMXxGPH7/fj8/kwDINYLKYRDul0mrGxMfW36e/v16JtdXWVc+fO4fF4SCQS1Ot1lpeXCYfDxONx8vk81WqV1dVVLBYLNpuNUCjEzMwMAwMD9PT0kEqlOHfuHGtra6TT6W2+OYODg7pxrq2tcebMGR2diUQ8Ho8rL+Yb3/gGtVpN+SPFYpFQKMTAwADFYpGlpSXW19cBtJsmHTEZ0YjJ3+Liosq0U6mUyr/X19e1OJTcMJGc+3w+4vE4Tz31lBYY4vwsXRop3E6cOKEhnsLpKRQK9PX1kU6nqdfrLCwskM1mlc/l9Xq1SJEulnTUxNCwt7eX2dlZdT2u1+tKZna73fj9ftrtNiMjIyQSCU6cOEE0GgVQnyPxw5F/8E0+1xuNZHit6BY4HegWN110cUXxbqBqmmYbwDAMC+AyTbNimuanru3Srj3sdjtWq5X19XXlwVSrVQqFgnJphFDbarUolUo0Gg3a7TZTU1M4nU7W1ta0YGm32zrqkseWMY5sNEKurVarWnj4fD5isRhra2tsbGywvr7O9PS0GggKgVY6PMLBGRkZIZvN0mw2lTdis9lUyi6md8lkkoWFBWZnZzUlXCIX8vk8a2trLC4ukslktBjrVIal02kd14jJnTjxCrdkY2ODdDqNzWYjlUopOVici3O5nBYipVJJeSvi99JoNNjY2GBjY0PvL1JyKcbkNUkXSeInwuGwjruE0+LxeDhz5owqr4RDIxLsYrHI6uoq5XJZHZHFZ2ZtbY1iscji4qKSrcXTJhgMUiqV2NzcJJVKsbq6qkRrie4QInKj0WBlZYVGo8HMzAz5fJ5oNEooFNLPxNTUFOfOndOul9PpVFfrdrutLsqGYZDJZDR6QgjVsVhMOThOp1NJ8IDaAXRGNVzpgqdb4JzHo48+eq2X0EUXbwiyoVzH+CpwP1A6/7sH+DJw1zVb0XUEcYO1WCyq1BH+irT0pSMhHisyjpmYmKDRaNDX10elUtGzZwlolFGG3++nUqlQLBaZmZnZZsAWCAQYGRlhYWFBN6H+/n4l7AKalj04OKgE3mKxqBEGLpeLSqXCgQMHdDOWkE6LxUI+n1fl0N69exkfH9ez+0ajQW9vr3ZjxsbGiMfjDA8PY5qmdhREPSVcn0AgoJwYp9NJOBzGbrdz5MgRNjc3icVihEIhVSWJO7CM7MSLJ5FI6H1lvLO+vq7eQIODg5pVJUWNpJeXy2V6e3txu92Mj49rcSGy+NXVVdbW1rjllls0miGZTLKyskI0GqVWqzEzM8Pw8DAej0fzvIQUXSwWWVhYUHK2REk0Go1tCrNKpcLp06f1/uFwmFarRSKRUBPFYrHI2toaw8PDjI6OKodGktX9fj/NZpOxsTEAVZSJs7IYCwqfSLpI8lxSyEjhIqOpzvy8TuWf/H4lcF1/G15NfO1rX7vWS+iiizeE3/zN37zefXFc5+MagK3oBsMwPNdyQdcTpIMgRnNiFme325W3IcRVr9dLoVCgWq1Sq9W2ja08nq1DKiRQGR1YrVbS6bQ+npCLHQ4HFouF4eHhbU7BQqgVGbBhGOra2xngWa/X2blzJ5lMRvkWEkIp5oES4inKG+HuiEmfSNojkQiGYShpVuIfOo30gsGgbr6dvkASUip8lH379mmOknSzhPwqIxmbzcbevXvJZrM6ZhK3YpfLpeOWnp4e6vW6Oj57vV7l2vh8Ps3harVaKuM3TVPfj0gkop44kuguvJpKpUKj0WDfvn00m001zJO4DelQxWIxYrEYZ8+e1TT4HTt2UKlU9LNSr9eJx+PEYjESiYQa+JVKJSVHe71eDRwNh8MqgRdit0i4ZRwGqCfT8vKymiPOz8/T09OjnZhms6lhr0Jsls+D3KZTPXVhN+dKoFvgdNHFmwgbGxtEo9HrNWm8bBjGIdM0jwAYhnEzW6GbXYBuAH6/X5VEUtRICKS48Io5Xb1e1wRnGTlJ+KGEc1arVY1mEKM8UfDIhhMKhXRMI+OsSCSi2U1SQNjtdtxu97auS6vVotFoYLfb1SlXrqvVajidTorFIsPDwxiGQS6X0+gI0zTVnRlQ3pE8jtVqVQKyxE7I+KNSqWj4qLwuQPlB4r5rGAaFQkFHavK66/U6uVwOt9utxGvTNJV0LOoeu92uXTUZiZXLZWq1mhoY5nI5VUlJMSqEXgnalKLS7/drl0xGWTIyk2DVQqGgxa7wnMQc0O12K/FZOiDyORGHZumgiBuxdI0A7exZLBaKxaJ654jtgBSmVqtVzftEeSejLhnJCVnabrdr59BqtapEvPN7SAqZzrDNK41ugQOk0+lrvYQuurgs+KM/+iMA/sW/+BeMj49f49W8BD8L/K1hGMvnf+8F/vm1W871BfGdEfKocD7EW0T4NnLmL0nSgPIuhGArRnbiXGyz2XC5XCSTSVKpFOVymVAoxOzsLM1mk56eHnp7ezl16pS60Z49e1YLpc6k7h07dnDy5EkCgYB2co4ePUo2myUUCqnJntvt5uzZsyr3npmZYXV1leHhYWZmZohGozgcDubn5wkEAtjtdkZGRmi320xOTpJMJgkEAup7I+OQUCjEE088QSQSweVysXPnTvV3GRkZ0eN19OhRdWzet28fjzzyiDoNW61WwuEwjz/+uEraLRYL586dU+7LyMgIxWKRY8eOqVPwxMQE3/jGN7SLZrFYKJVKpNNp3G43N9xwA3NzczqyEaND4SRFIhHGx8c5deoUiUSCdrutx2xhYQGn08nAwAA+n4+pqSk1EHQ4HKTTae1ObWxsYLPZeOGFF0gmk6yurrJ3716eeOIJLQ537dpFOp0mGAyqDYHVamV1dZXJyUm8Xq8ei0QiwebmJtFolJWVFWZmZoAtBVc4HGZkZEQ9lDY2NlheXtaujhhTShEkx194ZJ1ZVJ3EY7iyHjjQLXAA+MM//MNrvYQuuris+Ku/+isAPvzhD6uK4lrDNM1nDcPYDUyw5X0zaZpm8xov67qAZPRIFyIWi2nKt4yUhOsgnQHhwEjXBtBRhpyx22w23UDEWVjGR8LvEY6JhDd2bmaVSoXl5WUKhYJGI8iGumfPHqampqjVapo5lcvlME1T+SjhcFg3z42NDSqVCpOTk8otCQaD9PT00N/fr52QTCZDoVDA7/ezZ88e9YeRwiubzSrBure3F7/fryqunp4eJSPL6EpcjsVfJhwO02g0ND19aWmJYDBIIBBQzs/m5ibZbFZ5La1Wi9HRUc3KCofD9PT0MDk5ST6fVx6Px+NRZVQ0GsXtdjM/P6+KsKGhIUqlEsFgUJPAxSBPuljiexOLxejv71f5d7FY1PFXf3+/dqN6e3up1+uaTyVBnhJqGggEqNfrhMNhZmdnt6XRS6fG5XKxubmpUnwplGX0Je7F4oAsEn6v16vRHFLIdjoUy2evk3PT2dmR36/rEZVhGO8Efh+wAp8wTfNjF1xvnL/+3UAF+FfSpr7WkA9VF128GfE7v/M7+vOv/uqvXg+jq1uBEba+ew6eb1v/xbVd0vUBUdeI3Fk8R4RLI8Z1Ho+HQqGgoyLDMHT8UK1W1aq/t7eXgwcPkkqlNFxRuDYSqSCjKCHX+nw+TZbeuXMnwDaput/vp1AoMDo6CsDOnTuVNByJRJTIHI/H8fv97NixQ0m0U1NThEKhbeOcaDTK/v37qVarxONx5ubm8Pv9yjfJZrPs3LkTl8sFoP486+vrWCwWhoaGqNfrHDp0iHa7TS6Xo6+vj507d1IoFGg2m/T395PJZHjrW99KIBAgm83qJi2ZWn19fTgcDvr7+3G73SoDB3Sjv+GGGyiXyySTSQYGBvTYSeF48803MzAwAKCqLVFUdaZoNxoNRkdHSSQSrK6uUqlUlJdks9mIxWLKDzIMg2g0qmNIeT4xBBQvo0gkgtfrZWBggMHBQSVJC69JihDpkklBGQ6HNbNsamqKYrGox0/8eADtSg0NDWGz2bjhhhuoVCpUq1X9rHaGwzabW+ctUoDLqK2TcHw1JONv2OjvvCvpGeABYBF4FvgXpmme7LjNu4H/k60C53bg903TvP2VHvtqGGz99m//NtVqlwbQxbcPfvmXf1m/jN4IXofR36eAMeB5QOYrpmmaP/2GF3MFcTW+h5rNJsVikcnJSWCrgxOPx1lbW9OuTSdHp1gskkwmdYMWd+NoNKpk33A4rJlFIgMGGB0d5ezZswwNDbG2tqYdg2g0Sm9vLydOnKCvr08t+V0ul46zhDAbi8U4cuSIOhf39fXRaDSIxWLMzs4SDAZZWlrS4EZR8gh5NplMYrfbOX36tHrC9Pb2KsF6YGCAQqHA5OSkdnEajQbpdJoDBw7gdrs5ffo09Xqd3t5e5ufn6e/vV/myFIF9fX26Od91113kcjnm5uaU43Tw4EGNMBgfH1eptMPhYMeOHSrZd7vdZDIZBgcH9TjIyDAej6vUXjgvdrud559/XrtGuVyO0dFRZmdnMQyDdDrNoUOHeOaZZ0gkEthsNk0ElzywVCpFpVJhaGhIs8hGRkaUAxSJRJicnNQIhFarRSwWIxwOs7q6qqpKp9Op3ahYLMbExISOIIXQLETjSCSiZGt5HDHuE1dtp9OJaZpsbGxw6NAhstmsvm8ul4tAIKCdQxmbdnJyLuzkiLHgG/lOumJOxoZh3An8mmma33n+918CME3ztzpu86fAI6Zp/tX5308D95qmufJyj33o0CHzSsq3LRYL/+W//Jcr9vhddHG94+d//udfd1fH7/e/1gLnFLDHvJ7t0y+CqxW2mc/nOXr0KMlkkvX1dbLZrPIohFMTj8d1dCRRCTabjWq1qsRb2QD37NnDuXPnVObr8/lUCixn/4FAQDfWp59+WvOphCTrcrm4++67ueWWW5iZmSGdTvPcc8/pGEl8cw4dOsQNN9ygzsRPPfUU8/PzzM3NqVrrpptuYmBggDvvvJPp6WmefPJJXnzxRZUg2+12Dh06RCQS4c477+SRRx4hnU7z4osv0m63VdU0MjLC/v37Netpbm6OhYUFms0mTqcTp9PJ0NAQt956K81mk4WFBWZmZpifn9dxUDQaJZFIqBrr3LlzrK6uamq68FKEd5NOp1lYWCCdTpNKpfB4PBrEuXPnTpV0nzlzhrm5OeVHxeNxNcXr6+vjhRdeYG5ujlwut82NeGJigl27drG4uMjU1JTmVxmGgdfrJRQKsWfPHg3mnJubY3l5WYnahmFw6623YrfbCQaDuFwunn/+eRYXF5VU7PP5uOOOO6jVahoFcfz4cU0Gdzgcmjh+77338k//9E9kMhlSqZRyuMbHx4lEIiSTSSYnJ/F4PCwtLSn5PZlMMjY2pqNVQEde0rWRTlWnbLzz9q8HV7LAeR/wTtM0//X5338YuN00zQ913ObzwMdM0/zG+d8fBn7BNM2X/dbo6+szf/Inf/INra+LLrq4Mvi1X/u111rg/C3w0690YnO94WpFNWSzWf7mb/5GvW5E0VIul3VzEFWObBRyJiyhm8ViUdUwYusv/A63263FEaCdIdgaqQiHRtRDEt4ZDoe1yyJ8CeHkCIHZ7/czODhIKpVS5Va73SadTivp1Ov10tfXpzlaEgwpZ/5CuHU4HHg8HuXziHRdRkZer5doNKpdL5GzyyYtnKTe3l6q1aq+Jol2EJ6IjNVEpi2ybulqAOreK/47m5ubKt2HrRFMMBhUropI2sWZGrY2+J6eHgqFwjYDRlG1yW0jkYhK6qUjIuMewzDw+/1arAppWJR24rsjxYS8fzLSLJfLWkx1qphkbOZwOGg0Gqqo6+3tVe5RPp8nFAqpjYHVamVgYECPZy6X00J5eHiY/v5+YIug3Fm0SFEjnZsLR1fXa1TDxU7/LqyaXs1ttm5oGB8EPggwMDDAd33Xd72x1V0CuVyOxx9//Io8dhddfCvh9f6N/dqv/dprvUsMOGlspYjX5ULTNP/Z61rAmwhCMH7ve99LOp0mmUwqD0Q2NOkaiBfO0tKSmtPNz89rlIOYz4m8VzZS2Xj37t3L888/z9LSkjoP33TTTRqsGIlEOHv2LKFQiHw+zxe/+EXllPj9fm6++WYOHTqkG2U2m+VP//RPqVarhEIhDMPgwIEDvO9978Nms7GysoLH4+Ezn/kMuVxOJdC33XYb3/M930MulyMUCrGxsaGJ4rVajcHBQXbt2sXQ0BChUIidO3fy+OOP8/TTT2scwe7du9mzZw/hcJhAIKAS57//+79nZWVFeUB79+5ldHRUuUzPPvss6XSamZkZQqEQO3bs4MCBA9sIuY8//jgrKyvqiHzjjTfy3d/93aTTaTY2NhgYGOAf/uEfWF1dVd+cvXv3snPnToLBoEq3H330UZaWlnC5XNx0001MTExgGAY33XQTR44coV6v8+KLL7K2tkZvby933XUXb3/723nqqafo6+sD4OTJkzz77LNaUL7rXe9S35pMJsOOHTv4h3/4B5aXl7X79sADD6hHj8PhIBKJ8Pjjj2uHzuv1smfPHpLJJJlMhr179/KVr3yFarVKMBgkFosxMjJCPp/n7Nmz7Nixg7W1NUzT5ODBgywtLWlHKRQKqWKtMxBWvHHEJ0dMEqXDJYXWlWrqXtcjqqtx5vTRj370ij5+F11cz/iVX/mV1030ex0cnIuGZZmm+fXXtYCrhKvxPdRoNKhWq7pxihJF/F06IxsALXpCoZCGXNbrdc6dO6exC5KhJLEO+XyegYEBQqGQSqKls1CpVLj99ttZXFwkGAwyNTXFxMQE8/Pz6mNTrVYxTZOBgQEGBgY4cuQIw8PDGl4p683lcvj9fkZHR1lfX6enp4dyuaxOxOPj42QyGYrFoiqjpJMinA/pyohKSqIRJCNJNuxz587h9XoZGhoilUqp/HtpaUkNDl0uF6VSCYvFQk9PD4lEgoWFBQ2DtNvteqxWV1cBdATTarUYGxtjcXERj8fD6Oiocotk3Ccy7Hq9TjQaZXZ2ltHRUVKplB7LO+64g3w+z9zcnHZswuEwkUiEarXK5OSkJp5HIhFCoZDGbkj+kxS88v/Y2BgvvvgiyWRSby/8FiEPw1YXSkJURe3VaYgYj8d5/vnn2blzp3btCoWCFiUWi4X19XXC4TB+v1+Jxqurq6RSKeLxuPJums2mfr5kfCYp4lLUiJ+SdJmEgC0KwteDK9nBeRbYZRjGKLAE/CDwQxfc5kHgQ4ZhfJotknH+emlT/8zP/Ay///u/f62X0UUXVw0f/OAH6e3tverPa5rm1w3DGAZ2mab51fMuxtarvpDrEKIoaTQaLC4uUigUVN5cr9e1E1OtVlWS2263qVQqDA4OqgEdbHEL+/v7WV9fp91uK9lWJMmyiUaj0W05UAsLC5TLZVZWVlhaWmJoaIiVlRXuuusupqam1JG2VCpx4sQJnE4n5XJZNy4ZCbndblZWVpRQe+bMGS1inE4n6XRaxzRSXIu5nRRRwWCQUCjEwsICc3Nz+nnN5XLqZeN0OtmzZw9zc3NUKhVNWz958iRut5vBwUElFEvUhcfjYX19ndHRUc6cOYPNZsPhcHDmzBktDNvtNufOnaO/vx+fz8fc3JySb6emppS8Xa1WVVElXanTp0/T09OD1+tleXmZzc1NduzYwenTp1W+LxEQ+XyeTCbD0NAQfr+fjY0NwuEwy8vL20wNPR4Pi4uLpFIp9uzZQ6PRUBsAl8vFjh07mJmZweVykc1mlWwtZoArKyusrq5y4MABJZXLKE04U8FgkEKhwMrKCj09PdtMIFOpFL29vcRiMer1OhsbGwQCAXp6ejSLa2VlhXA4TLPZ1ER36SR1fr4F4qzdKSO/EnjDBY5pmi3DMD4EfImtL6tPmqZ5wjCMf3P++j8BHmJLQXWWLZn4//FGn/dyIRQKXesldNHFVcEb6dZcDhiG8RNsjZ8jbKmp+oE/Ab7jFe43CPwFkAQ2gY+bpvn7hmFEgL9mS3Y+C/yAaZrZ8/f5JeDH2VJr/bRpml86f/nNwJ8Bbra+l37meiA9S37PY489pme1Pp9PC4FOvk2r1VIuTKvVAlD+iUQEPPvss5imqYWDKGHER0a6OgA+n49isUg2m6WnpwfY6sQ89NBDVCoV/uAP/gCv16tuv0Ic9ng8yg0Sro+MVFZWVigUCoRCIb2NbHgjIyOUSiUtEqLRqL4e4ZtIbIQUPZFIhGazqTyYRCKhcu5CoUCtViOZTOrxqNfrqviSxwG0syKvXZLQNzY2KJVKhMNh5YlIBEIkEsHhcLCyskK5XGZkZIRCoUC73VYH6dHRUSqVCisrK2qc2BkP4XA46O3tZWVlhWKxiN/vJ5lMsrGxoY7A4kAu4Z633347mUyGSqVCLpcDUM+bVCpFs9nknnvu4S/+4i8wTZP5+XlcLpcWvFJg7d27l3K5zCc/+UlSqRQulwuXy6XhoLfccgsbGxvqDSQdFYvFQrPZZHx8XK0FlpeX1fBRCppDhw7peFPCU1OplKbLS+BmrVbT6Acx/JNxVqd3zuXEZfHBMU3zIba+LDov+5OOn03g312O5+qiiy5ePX7qp36KeDx+rZch+HfAbcDTAKZpThmGkXgV92sB/z/TNI8YhuEHDhuG8RXgXwEPm6b5McMwfhH4ReAXDMPYw1Yn+UagD/iqYRjj5laK+X9nq8h6iq3vrHcCX7ycL/L1QKSyPp+PSqWiHQfpsIiaRood6ZrI7xL+KKRdiVYQoqrb7cbj8WiRIB4xwhORWAfxd5GR2fLyMhsbGyr3FTM7t9utydHlclk3YkDHDx6Ph4GBASXfzs/PUy6XmZ2d1U0vFAoxPDxMuVwGYHFxUbtJUvQFAgGGh4fJZrPUajU2NjZYW1tTxZSQnPv7+7WjtLy8TCaT0a6WREy8973v5Qtf+IISpTOZDPV6XV9/LBbDarVSr9ep1+v6fJKx5Ha72bdvH6dPn6bdbmvRs7q6+pLQ0nK5TLFYZH5+nlqths1mU8O8cDjMTTfdxLFjx/T+kgcFW87Ub3/723nkkUc0AyuVSrGxsaEkarfbTTweV/O/lZUVSqUSa2trWCwWlZsPDQ3RaDRIpVKk02klD8t7dN999/HYY49pVIdEMoi/j4wka7UaxWJx28jJarUSi8U0hFOKPjER7OzQCEFeTCpFbg5XjoPTdTIGBgcHWVhYuNbL6KKLy4brNKqhbppmQ9rRhmHYuITYoBPnx9kr538unpeb9wPfDdx7/mZ/DjwC/ML5yz9tmmYdmDEM4yxwm2EYs0DANM0nzz//XwDfw3VQ4MgZ8+bmJnv27FHOSDweZ2NjQ6MUhO8iqdC9vb0UCgXtpogrr0C6IuJOvLy8TCQSYWVlhbm5OdLp9DYH3t27dxOLxVS2/Y1vfIOnn36aRqNBT08PyWRSlTsjIyMMDg4yNTXFl770JR1PRaNR7XrcfvvtStr9y7/8SzKZDLBVKOzatYtEIqEdm3a7zaOPPsr6+jqGYZBMJrFYLAwODmK324nH4ywvL3PmzBkdtezbt492u43b7SYQCOgY6IknnmBubk4N8cLhsCqpfv7nf54nnniC2dlZJf/K60okErzrXe9ieXmZz3/+88oVEgKzx+MhGo1y//33A/DQQw+xurqqhO5OF+O7776bkydPqtw6EAgQjUZVyp1IJBgfH8cwDL7xjW9QLBZV4i3eRO95z3uwWq2cPHmSkydP4nA4cDqdeL1ePdY7d+7EbrfT39/P3NwcXq9XydY+n4+BgQH6+vrY3Nzk4Ycf1sBVUXe1Wi3e9773USqVWF1d5ezZs2xuburrGRoawufzEY/H6e/vx2q1KulcAj77+/sxTXNbESd5Y1L42Wy2bca6MrbqjBy53OgWOMCP/diPdcnGXbwpEAwG+dmf/dlrvYxL4euGYfwy4DYM4wHgp4DPvZYHMAxjBDjIVheoR7h8pmmudHSD+tnq0AgWz1/WPP/zhZdf7HlUzTk0NPRalvi6IC17MZUT3xeXy4XT6SSRSCj/RciZ9Xodl8vFiRMneNvb3sa5c+eUjBuLxTQnSXKMTNPE6/UqR0PUOMvLyzidTnw+H4VCgXA4rEZz+/bt48Ybb8Tn85HJZMhkMipp3rlzp/IxfvEXf5GzZ88yOjpKoVBgaWlJi5xgMIjNZuMnfuInWFhYwOfzkc1mqVar9Pb24vV68fl8uh4h7Iqax2azqevvoUOHcLlcmmItpoCS5i1y57e//e3q1iwjqB07dmC1WolGowwPD9Pb20sikdBYCLfbrSovi8XCD/zADzA3N0dPTw+rq6sqPfd4PJw7d45gMMgP/dAPsbS0RLPZpF6vMzAwoKRs0zTx+/284x3vIJlMEo1G1ZwwGo2qy7GojDo7Uo1Gg0gkQiQSwTRNduzYwcGDBwG0gycmgi6XSx2qxQna5XLR29urztIul4uVlRXuuece9QJqtVoqZZfCbGxsjJGREdxut3rfCMlYRnHlchm/34/X69UuVyqVUom/aZq43W4N15QMLDH1k+6OjKakALoS6BY4XXTxJsJ1XNzA1gjpx4HjwE+yNSL6xKu9s2EYPuDvgJ81TbPwMsTES9lSvGq7CtM0Pw58HLZUVK92ja8X0vIXUugDDzzA008/rcXK6uoq5XJZN6JWq0UoFCKVSnHDDTcwOztLpVJR/xIhJ9vtduWgSKbQ2bNnCQQCmosEMD8/z/LysqZky4hiaGiIXbt2UalUNOl6YWGBUqnE3/3d32kYYy6XIxKJsLm5qWOKo0ePsr6+rhv36OiocjCi0SgzMzM8/PDD6tHidru57777dERimiYvvPCCZlgZhkE4HFbXZFEozc3Nsbi4qJ4uHo+HnTt3kkwmaTQanDt3jkKhwLPPPqvHpL+/X+MpKpUKCwsLZLNZVSJJiKdswg6Hg7m5OaamplhcXNSCcHBwEI/Hg81mo7e3l+eff16DNcU3Zvfu3Xg8Hs6cOcPCwgK1Wo1nnnlGU8+DwSC7du2iXq9rZy6TybC0tIRhGPo80oVrNBoqXxevoFAoxB133IHFYlGzQpHTZ7NZHfUdOHBAixKPx6PmjaZp4vF42LVrF4FAgImJCR5++GE1HAQIBAK85S1vIZPJkEgkCAaDPP/884yOjjI1NcWRI0e0izYwMEClUiEcDusxFP+gTuWUdHGuW5JxF110cX3gIx/5yLVewsvCNM1N4P89/+81wTAMO1vFzf9nmubfn794zTCM3vPdm15g/fzli8Bgx90HgOXzlw9c5PJrDsMwyOVyzMzMqEy3WCwqf8ZqtWokQzAYVMJmNpslGAySTqcB1DZf+A+maVKpVDR4sjNg0e/3K+lYzrqXl5f1zNtqtTI3N8fx48f1LL7dbjM+Ps6ZM2d07bLBJ5NJpqendeQg4ys5mz99+rTmSBmGodLgUqmkrswSMVCv19W+X7ghwksSF2bpmnSaEFqtVmw2G5OTk9pJ6byNbKjT09N6HIRXEgqFWF5eVin+7OysbsTtdhuHw6GFmaivTp06paaEUhiJm7RwYKanp3nkkUe0CxKLxZibm1OjO+nCNRoNarUawWAQ0zR1DGez2Zifn+eZZ55RjlEgENDsLYDl5WWWl5c1SV5yzcSZut1u43Q6SaVSWuBYrVaNcYAtHtjy8jJWq5VvfOMbetwlt8vlclGtVjWINBgMqqO18I1E9SUqMEkbl+PR+fkDtsU3yGWXE90C5zx++Id/mE996lPXehlddPG6cNddd13rJbwiDMOY4SIdE9M0d7zC/QzgfwCnTNP8vY6rHgR+FPjY+f8/23H5/zIM4/fYIhnvAp4xTbNtGEbRMIw72Bpx/QjwB2/sVV0eiNpGNhJxpu1UTAWDQSX7CunVbrdru18yjwzDoNFobNvwZdQgKiQh2YrKyu12MzY2Rj6fx+PxKIG0Xq+TTqdpNpsa1jk0NMT09DSxWIxqtYrFYiGbzVIoFEilUlosBYNBTfGW+IhKpcL6+lYd6nK56Ovrw2azaV5VtVpVh2PTNJUPJOGT4sScz+ep1+tKMHa73UrQlW6BEIgBldbLbeR4l0oldYxOJpMq9xYzPCHWttttEokEe/fuVam6cT7kNJ1Ok8/ngS3/HI/HA6DjMlFByShMwj+9Xi+lUkm5KeIOLeaN8v42Gg2azSa5XE6LDnker9erarlqtUqpVNICZ//+/WxubhKLxTR8U16vdLL6+vr0+Eomo3T6fD4fLpdLR22diihZj9fr1dGdjKiEzyQydSkY7Xa7PrYUbp0RDlcCb9jo70riahhsdaLZbPKFL3yB97znPaytrfGVr3yFffv2USgUuJKZWF108UZxLbo3r8PoL9rxqwt4PxAxTfNXX+F+dwOPsTXaEj3pL7NVpPwNMATMA+83TTNz/j7/EfgxthRYP2ua5hfPX34L35SJfxH4P19JJn61wjZzuRwrKyvYbDZ27drFysqKBl3OzMwoAXVxcZFoNEq1WsXj8Wjh4vV6qVar2wINM5kMrVYLj8ejpnpimS8bzcbGhkYl+P1+5WesrKwob8dut6slf7VaJZFIkMvliEajFAoFBgcHOXr0qJrmLS4uEggEdCO3WCyq8JLIBkkVFwKqFAnCGRoeHmZ1dVULIEnUXltb041XHqOnp4dms8nY2BjNZpN0Ok2xWKRYLDIwMIDD4cBms1EsFolEIpw5c4bNzU16e3uJRqOYpkmxWKRWqzEwMKAdsWKxqMWhcI8KhYIWIx6PR0MqZbwlkmnxgxHpe6lUotlskkwm1duoVCrpWnfu3KlrFtK3eA2JYzRsjfdCoRArKytEo1E8Hg9zc3M4nU6q1Sr1ep1gMKjS+mKxqFELUlC43W6VqEthks/nVd1knM+vEkm4+DJJwVwulwmFQhSLRdxut3JoRL0lHS8pMOUyIShLgS5RDTKefb241HdRt8B5lajVanziE5/QD34XXVwv+PCHP6xOslcTr7XAucRjfMM0zbsv15quBK6WkzFAKpUCtvgOi4uLjI6Oks/n1Vl4bW1NQx5FsbK0tKRn8wsLCwSDQTWjk87DysoKhmHg8Xi08IjH4zpKkM5IrVZTuXqz2SQej5PJZIjFYthsNpaWlrQoEfmyYRjs3LlT3W8l7kDGHc1mUwMjxaun0Wgof0QKBdM0NTm7VCppAVCpVHSUZbPZ6OnpUWXW4uIi7XabarWK3W5XwrLb7dbRm8/nY3FxUeXv0gGTRPBYLMbGxgamaVKtVpXrFAgEiEQilMtlfX7p6oiSbWBggGw2S19fH4ZhqOmgFGTpdJrdu3drFIdIwU+fPo3f7ycSiWhhKUniUhTJcZYYCOnWCAld/HzsdrtKtEdGRrRrJOaPEpEg76ccHzFhdLlcNJtN9aIZGhpSZVg6nVa3Y+FnxeNx9cxJJpPbUtTL5bL63wDbPG6k6yWkYynMRT14vWZRfVvA5XLxoQ99iGq1ym//9m9f6+V00QVw/fNuOmEYxqGOXy3ALYD/Gi3nuoKc3VosFs06SiaTLCwsaKKzyIcHBgY4fvy4ng2LYkc2MRlZ+P1+Go0GzzzzDPl8XscAgUAAr9dLPp/H7/dzzz338PWvf52zZ8+Sz+eVAyO+OL29vbRaLfbt28f09DQvvPCCjpEkD2n37t0A7Ny5k2PHjrG+vq7/xE/l3nvvZWVlRX2Z1tfXOX36tI5P7HY7t9xyC7VajUQigcViUUdkKbqExCoqnnQ6TSaTYW1tTTdyt9vN2972NlZWVhgbG2NycpKlpSVmZ2e1wEkmk0xMTFAqlQgGg+qts7S0pJ2Ot7zlLdp9ESLt8vKyFkter5fv+q7v4vTp09xwww309PTw7LPPMjs7q3ynQCBANpulUqnQ39+vqeRra2tKrg6Hw4yOjhIIBNizZw+PPPIIqVSKubk5tQ/w+/3cdddd2Gw2BgcHefLJJ1ldXWVtbU1DTw8cOKDr37lzJ0888YT6GIlp4R133EEkEsHlcgHw/PPPs7q6quTwUCjE7bffriPARqPB0tKSGiiOjo4yPj5Oo9FgaGiIJ598kunpab2tpL1HIhHGx8cJhUIaDCpdt85iRsZT3RHVdYRiscjv/d7vvfINu+jiCuNaFjivY0T1tY5fW2y5D/+OaZqnL/faLieuxvfQ5uYmk5OTPP7444RCIR3LAJTLZTVXs9vtLCws0Gg0tKMgPBrJbxK/FxlDdZqtCcGz0Wioe20gENA1yNjK7XbrY2SzWSWtyoYvRYB0HKTTIqMzGUFI10jO6EVOXKlU8Hq9SjQW8zch7Ho8HjwejxoJwlZhJtJ3iUnoTEYHlNRqmiYLCwvE43FsNpvK6kUiLfydtbU1DRGVY+rz+VRl1Pm6pICUfCvYGsmIEWA4HNYOGIDf71eDv/X1dSKRiCa6y+VyHGGLIB4KhfTYyygnl8vpCHJzc5NIJILdbtcOjaxBeDIysqtWq5o9VS6XNQxV4PV6NYXd5/Oxvr6uvKdSqaTvmXTN0uk0breb4eFh7coIr8br9VKr1XC5XOzZswe/388tt9yinw9R4ElXSsZSUuhcqRFVt4PzOuD3+/nIRz5CLpfjE5/4hP4BdtHF1cQP//APX+slvCaYpnnftV7D9Qoh/4oPzu23387a2ho2m41wOKzjlFwuR29vLxaLRUcajUZDpcCSDp7L5bblAImxm3istNttZmZmKJfLujkHg0Gi0SjNZpM9e/Zw7tw55ubmOHnyJK1WS31bxsbGtEMUi8VYWlriyJEjlMtllYRLSKZkRjmdTp566ilisRiNRoPe3l4mJibwer0MDAyoT8vU1JTyXuLxuBZ74t8zOzvL7Owsa2tr+vjhcFjHH36/H7vdzqlTp3A6nUSjUTUedLvdNBoNRkdHee6550in01rcjIyMqLT+4MGDnDt3jvn5edLpNOVyWbOXxDRQiOBHjhwhEolgtVoZGBhQ2Xyj0eDgwYMcPnyY2dlZgsEgfr+f3bt3a3EwMjLC/Pw8kUiEF154gfX1dRKJBENDQ8phuffee/na177G3NwcqVRKX9P+/fvVd6fVavHcc8+xvLysnJje3l7C4bBGQNhsNhYXF1lYWNCRVzwe14IlHo9z5MgRjc+QIldGdTfccMO2lHpJGY9GozgcDgKBAIVCgaGhIXUsloJMPnMul0s7QZ1cMOEFXQl0OziXAZ/+9Kc5ffq6Pgnt4k2I//gf/+Mbmlu/UbyODs7Pv9z1Fyikrhtcje+harXK+vo6tVqNcrnM2NgY1WqV2dlZ4vG4dmrkDNzr9ZJKpRgZGWF6elqdeuPxOPPz8wQCARqNBjMzM8Tjcd2QASX8CgFUxgtyxi6b+Pr6unrryPXS1QmFQspxMQyDfD6PxWLhtttu48UXX1RljnCDWq0WGxsb6pws4aG1Wo1arcbevXt1FBeNRsnlcoTDYfXfqdVqRKNRgsEgx44d07BRIfNKJMXAwADr6+saSFkqlejr69NjBVudEvGykVTyeDyu0nchXIu0PpFIqGOv/L319/eTSqU0vFNk7iKRFp8cm81GpVKh0WgQDofV6DAajSrR+OTJk4RCIQYHBzlx4gSw1U2T91pcic+ePav8FlGFCTk7k8moBF2I12IV0NPTo/5K7Xabvr4+7Ha7RnAIf2ZmZga3263dFon1CAaDDAwMsLGxoV1F4Qm1Wi2GhoY0bV4cr6XT53Q6VQouMnCxIZD/hYd1vaaJf9vjB3/wB3nooYd49tlnr/VSungT433vex//+3//b/39WhY3rxO3ALeyJeMGeC/wKPBtn5Picrn0jDYejzM7O6sbSqlU0q6GkIWFvHv48GFarZYSio8cOaLutMLfSKVSGnYoiiAh/spzS6dCgh/lbFuIv5OTkwwNDVGv1zly5Ih66wjnZ2hoSMMhBwYGePTRR8lkMqrMabVajI6OYrPZuOOOOwiFQjzzzDOcOHGCZrPJ1772NeWa+Hw+3vGOd/DUU09phpJ43mxubjI6Oso73vEOpqamsFgsTE1NMTMzQ6PRUM+avr4+br75Zur1Ok8++SSNRoNHHnlESbeSZj00NEQsFuPMmTMqG5cNWYqmZDKJzWZjY2ND+S7CJYGt2Ik9e/Zo0SnE7XK5rCMkiYzofIzOPDHJ9oKtMV6j0dA1do4EpWMigZziV2S325XwHQwGcTqdajjY6Sws+V/vfOc7mZ2d5fDhwyr1b7VaRCIRent7CQaDmizfaDQ0UkNGfolEgnw+z9LSEk899RRut1vl+tIJSyQS28ZSF+ZOyXGWQudKoNvBucwoFot8+ctf5sUXX7zWS+niTYaPfOQjrKys8PGPf5wf/dEf1TPSa4XX0cH5MvD9pmkWz//uB/7WNM13Xqk1Xg5crQ7OwsICJ0+eJJVKKadGzsJFbSKjLOHLyP+y6Yqpm1wH3+TedPIdRKkkfBGBSIGtVivtdlt9V2TEIDEK8rzS2RGvHeGBCFlZNl1xGRajPikQhEMjr60zhFOug29magmHJhQKaQEgnRyBkI1lRCObrOx1EjYqI56BgQGOHTu2bcNtt9ta7Nx///0sLS0xMzMDoJ0G4dLY7XYOHTpEOp1WNRegvB9ROt1yyy3I56jzMeTf2972NtbX15mamtIRjqxbVG533HEH1WqVyclJfb9sNht2u13dqvfv34/b7eb555/X55LOixC64/G4jjKF2yXqMhlpyrokcFOKR0CDMsvlso4JZeS1f/9+7ewASsiW90U+y3Kc5T2Rwvz1oNvBuUrw+/18//d/P8Vikbm5uWu9nC7eJNi3bx8Avb2931LKqQswBDQ6fm8AI9dmKdcXqtUqDodDDeHEdE1k1bLJWSwWGo2GFgjSCZCRgDgAd8p+O/1LpLgRmW+lUlHuj5B9HQ7HtmwgISNLgeRyubRrIEVBqVQil8uRzWb1ctmgpUgTH5xyuazGfeK5IiRqGXPIKMxut6vXj3A5hDArEQpSkEm3QwwD6/W6FjV2u13HO9IxkO5QvV5XlZGY0wFawM3NzalHjjyfXC//FhcXqVQqOr6T5xRDwUajwezsrBZATqdTc5lEtSaP0TneEe8fMW/M5XLbHKnFUVm6fxL3IIZ6clwkI6parVKtVtWOQBLF5f3sdMwGVGYvSfVS8EqhJM7F4XCYWCymhZiQtjsJ7CIRF96NfD7lea4EugXOFcKP/uiPUiwW+X/+n//nWi+lizcB3vWud13rJVwOfAp4xjCMz7DlaPy9wF9c2yVdH7DZbAQCAd773vfq5ptMJsnn89vkxNIZEe8Wj8eD0+lUtU+9Xsfr9bK+vo7H48Htdis/RAoV4VNIIVKr1djY2GBiYgLDMDh37pya1BUKBd2wxZOlWq0yNDTEysqKervIhnrgwAFmZmYYHx9nYWEBm81GJBJheXlZ1xYIBPR+LpdLCxiHw8Hy8rKGbNZqNVUWiYeL3W5nbm6OvXv3ks1m1a9FPGIACoUCkUhEuxNSOEpgqWmayp+RsY+8BjEllIiHarXKxMQEzWaTVCqlxZPwisTDxuFwaMEJWwTiQqGAzWZTabzH4+Hs2bPYbDbGx8c5d+6cehDVajV27NhBpVJhdXWVQCBAOp0mFotpJEIul+PGG2+kXC4zOzur3RuRX9frdY1xELm+dN2EazQzM4Pfv+XMkM1mSSaT25Rq+/btY35+Xo+BFI2SKdXf38/U1JTGPNRqNSKRCLDF5bJarSSTyW1dRylmpGsj/6Srd6VyqKA7orri+MxnPsMLL7xwrZfRxbc4rseuzesx+jvvhfPW878+aprm0cu/ssuLq/E9JGfEkvEj/A+r1aojDjkjd7vdLC4uauKzmMjJ7WTcUK1WtVMg0Q3C2xBOjjyPGMOJYkkkyNFoVHOcxIRPyMuSeG6xWPB6vSrbDgQCmjsl3QchLUv3QnghgUCAhYUFIpGIKsEcDodunOJKLN0eMdgTJ2Wfz6fRE0JUla5JZwFQr9dZW1vTDV08dHp6esjlcoRCIUqlknbPnE4n+XxeCcGwlfckIaeA5kFZLBYqlYrKvqXAlNdaKpXweDwkEgnm5+fVLbi3txeXy0UqlVKJuXSzpGMHsLi4iNfrpVwuKxdGeEm9vb3adQkEAmpSKEVDoVDA4XBQKBQA1E9IPHpEXi7jKRkRigpP7uf3+3XdncW28Kak0yRKNeAlqeKdTsrS/ZGip1N6/3rQdTK+hvi7v/u7LifnKuE//If/8KYzYnzHO97BnXfeea2X8RK8zgLnbmCXaZr/0zCMOOAzTXPmyqzw8uBqFThSpBQKBUqlkp79ynWycYhCqFKp6PhHfFXkbFnOjgEtSoQrI6MuKW4ikQjFYpFcLqcEXCGqyhm2dCzcbrca0HX6yQwPD+sm5nQ6qVQqrK2tKYHV4/HQ399PMBhUhU6z2WR2dlaLFkCl39VqVdciEQ7irrxjxw49Bg6Hg8XFRe1AyKYqXB+73c7q6qqOv0SdJCM06SBtbGxotIXwQaRAkoKsUqnoY4hyS2IZpPAU/pTL5VIOkDj3do4VZeTncDi0KK1UKkrwlmJTRlHSKZLHENWSx+PR3KdqtUo4HNYxkbgyS3dQxpZS4AgHS4ohKc6CwaC6VssI1Ov14nQ6tSsoRZUQ18V4EdDPYTAY1JGecKykIJeiRwqcer1+RQqc7ojqKuD7v//7+b7v+z5+/dd//Vov5U0Pt9vNvffeyyOPPHKtl3JZ8La3ve26LG5eDwzD+AhbSqoJ4H8CduAvgbdcy3VdLyiXyzz00ENkMhkymQybm5vajQG2qW6ESyPjLOEzCB+nVqvp7WCLFCrS7GazSbVa1bGMyMVhSyIeiUTo6+sjn89rgGanIkg25b1792KaJvl8Xv1TZLMXHks4HOYtb3kLGxsbnD59mnK5rCZydrsdl8tFMBjk0KFDLC0tsbS0pO7Mcsbv8/kIBoMMDQ1RKpVYXV0ll8tpd0jMBMPhMAcPHmRjY4OZmRnN4ZKNNBKJEIvFmJiY4Pjx4xSLRdLptHqzSGdi3759FItF5ufnldPS2VEbGBhgfHycdDqtjsQSUyGFVSQS4b777uP06dOcPXtWR4jCSYrH4/T19REKhVhdXWVlZUULTNjiXu3evZs777yTxx9/nFKppMnd8rpdLhf79+/n/e9/P3/5l3/J6uqqcqGE8+Jyubj11lv1fVpbW9sWIOp0OhkbG2N8fFzXKdfJepPJJDfffDNra2saYCphpJKbduedd7K6ugpsSejdbjder1c9eKSIk7Fg51jqSjoZdwucq4QrOWfsYguiFHjb2952yQLnO7/zO/nSl750FVf16vCBD3yAdrvNX/3VX227/N577702C7oy+F7gIHAEwDTN5fNKqm97SEcjEAgQCoWUx9DZRQH0bLezwBH+ixCQOwuczu5CX1+fRjRI4SKuwLLx9vb20tvby9jYGEtLS6RSKWZmZrYpriSA8c4771Ti69TUlKaFCz/DYrEwMDDA933f93H48GEsFgv5fJ5cLgeg3YJQKMS//tf/mq9+9aucOnWKQqGgOVXioptIJJiYmGB9fZ0zZ86o141snBIu+e53v5vnn38ej8ejMQbCQent7SWZTLJr1y5cLhfr6+vapZDHSSaTvO997+Ps2bMcPnxY+UmdXZ2JiQluu+02FhcXmZyc1MJDRoXxeJxYLMaBAwf0PplMhkqlogTteDzO2NgYFouFvr4+ZmdntUAA1BE4EAhw6NAh8vk8y8vLFAoFVSN5PB527dqFaZpaIGYyGdLptHbSfD4fe/bswW63UyqVWF5eJpfLaXSH3+9nYmKC/fv3E4vF1ItIukwS13HrrbeyvLzM6uoq5XJZP2dOp5Ph4WESiQSJRIJ2u83OnTu1MyRjPAlZlYJbPsdSoF4pdEdUVxGFQoETJ07w5S9/+Vov5arjF37hF/jP//k/X9Hn+Lmf+zll7QsefPBBjh79Js3jV37lV5idneVTn/oUgJI1rzU+8pGPYJrmti7fP//n/1wzfq5HvA6Z+DOmad5mGMYR0zQPGYbhBZ40TfOmK7jMN4yr8T1ULBZVuu3z+bRgkRGBqGHE96Rer+tYql6vawK4jJ7EVVhCLIXLU61WiUQi2jkQfo4QRGX0EI/HdZQgG50UYR6Ph1gsxvr6ukrWrVYra2tr2O12ent7WV5e1g5CIpFQ1Y7kX0myucjNxQdoc3NT4wn6+vo0H8tqtbJ7924qlQrr6+vcdNNNzMzMaA5XMBjU0Usnd0XSu4V7UigUNFeqWq1qgbCxsaGFmSS4l8tllpaW6OvrY2lpSVVo4uBbLpfVG0jeK9m0e3t78Xq9OnYqFos4nU5mZmbweDzccMMNqt6S+0QiEVZXVwmHw9sI5JIE/+KLL6pTsbwfDoeDvr4+pqen8Xg8Gkwq/kniTRMMBllYWKBQKBAIBDR5HFDydzAYxDRNSqUSsNXR2tjYYHBwUM0MY7EY+XxeSepyvMQputVqKWdLyM8yHhUlV6cKrfN/ifd4PeiOqK4DBAIB7rzzTvbt28fv/u7vXuvlXDbccccdvOMd79AviT/4gz/Ydn0ymXxD89VXg/vvv/8lxQ3Ae97zHgAikQh33HEHFouFHTt28O///b9nbm6OG264gY9+9KPb7rNz505cLtcr8qbuv/9+vvrVr77i2sLhMNls9hVvd+GZzPj4+Cve51sMf2MYxp8CIcMwfgL4MeD/vcZrui4g3ZeFhQVisZhGLkgBA1v8lM4zYNk8xfTPbrfrxifGdJLdVC6XlfcgvBvZnLLZLIVCgfX1der1uj6fzWbD7/ezd+9eLapyuRwzMzO6mVutVvx+P29961vV0VYiDmRkIhyMu+66i97eXtbX1ymVSqTTaQ2mlFHcrl27GBkZoVKp8Pjjj7OxsaGF2fHjx/F6vezZs4e5uTl8Ph+pVIqlpSXtCslIa2RkhAMHDqgJYKFQUCPD5557Dp/Px8TEBCsrK5imyerqqiqVpNswODhIf38/2WyWarXKxsYGmUxGi0cpyBKJhJK0l5eX1bkYtkZ+u3fvZnBwkDNnzujxOXz4sBr8ud1u7rrrLpaWllheXua5557DMAzW19eBrXGV2+3mrW99K+12m2w2qyMt8f+RUdPw8DD1ep2ZmRmWlpbUaFHk3Hv37mVkZITTp0+Ty+WYn5/XAlIKoXvvvZdsNsvs7CyZTIYnn3xS+TPJZJLR0VFNkp+ZmdFRlt1ux+12Mz4+ro7InSZ+QgKX49f5WZUx4eVGt8C5BvD5fNd6Ca8LP/iDP8inP/3pl1z+wAMPqHkUwIc//GG+8IUvcOjQIZaXl3nrW7dEMzt27GB6evoNrWFoaIj5+XkAfvzHf5ynn34a0zR5y1suTuOwWCz8s3/2z15yuZxFAezdu3dbMfMv/+W/BLa6O4888gj79+/n2LFj2+7/4Q9/GK/Xi9vt5nOf+9wl1/uTP/mTxONx/vqv/5qpqamL3uZXf/VX9ef3vOc9fP7zn9e1v1lgbFVvfw3sBgps8XB+1TTNr1zThV0naLfbrK2t8dhjjymnQ9r3wq8RBYqMXTqN/mSDkI6KPKbctpPYCagHi0iEha8jhNpWq6UcIFF1yZhKRkPS0bBarXzpS1/CYrFogSB+J+JvY5omDz/8MC6Xi0KhoCMOIfvKmiXpXMZd0pWSf2LgJ+uoVCq6Bnku4eTY7Xaq1SqlUmmbcZ50nKRjUKvV1CCx0x3c6/Wqo7NESkgHQsaGQqQtlUrqd9PpSyMmd6JIkufpNAO0WCw89NBDyo0Sg0MhF8vav/rVr2rHR3yC5HmEIOx2u/X6Ti8lMUX80pe+hMvl0scRo0L5XNhsNh588EElMneGgQIagiqfSyFtS3fR5XJx7tw5YrGYqsREZSfJ8/K6RcUnxo/yGb2ceEMFjmEYEba+tEbYSgb+AdM0X3KqahjGLFAE2kDrtSovurg+MDExwe7du9VFU3DhRuz1evmBH/gBYKsbIvjABz7Ar//6r+P3+ykWi6/5+X/lV37lJc81MDDwmh/nQrznPe+5aLfmnnvu4Y477sDpdL6kwJE/1IMHD16ywOmUdv/QD/0QCwsLfPKTn9TLbrzxRt73vvdtu8/Bgwc5deqUdp7eLDBN0zQM4x9M07wZ6BY1F8Bms1EoFJSjImfmUoh0FihS3AgHp7OIkfGMXC/3FY5NZ7q4cHlEsdSpcJF4BSkQpBCSIsDlcqn8Wh5LnIlFamyxWLSr2jm+kcJFFE9SREhhlM1mdfMFdCQjkEJCTA1F5SWbpKxDHJjleSWIU0ZtksYu3Qh5HKvVqq9dzAWlGJOiRgo4Gb90dm0CgQAul0vVbDLykddtnE/vlu6ceNhIPIMUkPKa5DjIa+k0+gsGg+rkLKMyOS5SoIpyTp5DlHnyPsnzyHGS5xPZunzXCYG9sxsoYyuxJTAMQ6Xqwv+S5we0yyMjOyEcd5r+Xda/qzd4/18EHjZN82OGYfzi+d9/4RK3vc80zWtPdrhOcDU4KZcTH/jABwD4vu/7Pv7v//v/ftXjmU4YhqGb/vT0tPJgYEsKvWfPHv7rf/2vl7z/lepoOJ1ODh06xJEjR7jxxhu3rfeV7MMNw+Duu+9m586d/Nmf/dnL3ravr2/b73ffffdLbmOxWPRYvwnxlGEYt5qm2Q1t64A4zPb19fFDP/RDugkLUdTj8WhB0NlhkC6CdAVkg4WtoqBcLqtHi3Q3XC4XuVyORqOxbWMS0zbxbJEiy263EwqFCAQC6rIsG7CEMgK6SQ4MDJDL5VhfX9/G/RCZsxCUNzc31fm40wwuGo3S39/P0tKSOgvX63UdL8FWB3x0dJTl5WWVh9dqNUKhELlcTtU7gEqZO51/m80mbreb+fl5RkdH8Xq9LC0tbTt29XqdUCikQaBnzpzRNQph1+12s7GxsS1dvVwuc/LkSQ2cFD7MwMAA1WqVlZUVWq0W6XSaRCLBxsYGtVqNG264QZPd5+fnt5nrlctllYPLd2C9Xmd9fV09bCQWYmJigmQyyYsvvsj8/LxmRIkMf9euXbRaLZaXl/F4POTzeQ3ElAKzt7dXSdrSmRHulIRvivWAEJk7u3XSrRFDQSmk5DMrhad00KTQvhJk4zda4Hw3cO/5n/8ceIRLFzhddOBKc1JeK773e7+Xer3OQw89tO3yu+++m2g0ytjYGLBVgUuRcqmx0KvBjh07tv0uUuj/9J/+E6VSiWAwyPz8PP/zf/5PAO0IXSm8973v5f77778k0e2DH/wgH//4xwFIJBLbrvuO7/iOV/UcQq4TJJPJ17HSb2ncB/yb8x3dMmCw1dy5rknGVwP1eh2/368blgQWCj9Cwgur1ap6nkiB4/P51NzNarVqBIMQZcPhsLrStlotenp6sFqt+hji6eJwONi1axepVIqenh49S/f7/eTzefbs2UOtVtMNWMi40kEKBAIUi0V8Pp86IS8uLpJMJreZwAWDQVKpFMFgULsDMsaRjTsQCBAOh9XQUAi7UuCJO/DIyAirq6saGDo8PKzrbbfb9Pf3k8/nleycz+fZ3NxkdnaW8fFxIpEIm5ub7N69m2KxSD6fJxwOayTB8PAwMzMzDA8PK7n4zJkzqkbbv3+/FiuiTJMsJnnd4sgciUTo6enBZrPpuu644w6KxSJnzpxhZGSEdrvNTTfdpHzGaDSqo0gxKmw2m8RiMcbGxlheXqZWq1GpVNRdWuT8d911F6urq4RCIe3MSJSEkIHFA8nj8WhXxefzkclk6O3tVW+dUCjE1NQUgUCAer1OPB7XKAYZEYp9gHS1OqNCpCvYmZEmReeVdDN+QyoqwzBypmmGOn7PmqYZvsjtZoAsW/bsf2qa5sdf5jE/CHwQYGho6OY3c55TqVRSsvG73/3ulxQXVxp33303o6Oj6tvQuR7BlXTQlbNEi8XykqKhE+VyWb8IryWEjHzo0CHe+973vuT6arW6zWTwYsdufX2d//7f/zu3334773zndZ0x+Yp4tSoqwzCGTNOcNwxj+GLXm6Z5Xf+RX2kVlWmaLC4uqmLJ5/ORzWa12JFIBcmPisViNBoNCoWCGqhJd0LGB4COBdxut27sVqtVbyMS7EKhQE9PD2fOnCEcDrO6uqphk8Ijicfj7Ny5k42NDQ0CFWKtKL4CgQCJRIJoNEq9XieVSuFwOHTTrVarxGIxRkZGcLvdFAoFMpkMgUCAlZUVlbYHg0GCwaAquYrFIsVikXK5rGOYnTt3Eo/HWVtb026Qy+VS7o7NZmN0dBSPx0MymWRychLDMCgWi0rgbrfbJBIJksmk8p4kEVyM/cRxWPKaJGJC/HpM0yQSiTA2NqZjNhl9dSagBwIBfV2iPqvX6+p5NDY2RjAY1MKzVCqpu7N0eRKJhJKjz507pxwj8fNpNBoMDQ1hmiaDg4Oq2LLb7SwsLOgoLhgMMjY2pi7L9XpdydyVSoVIJILf7ycUCpHP5+np6WFpaUnzuNxuN6Ojo+o47Xa79Xg6nU59f+W9lU5PvV5XVZ/8k4KoM7fq9eB1q6gMw/gqcLFTzf/4Gp7/Lec9LxLAVwzDmDRN89GL3fB88fNx2PpieQ3P8S0Hn8/Hz/3cz9FqtfD7/Tz88MPqaPl6ZpLDw8OXDPi87777+NrXvsaP/MiPcPToUY4fP85dd921rWPh8/n4iZ/4CZ2ljo6Ovu7X9mogluevhOuhuAH4mZ/5Gb72ta9dkh/TeSxvuuniTYlEInFdxi5cYfwDcMg0zTnDMP7ONM3vv9YLup4gnZf19XWOHj2qTrbSiRGVlHE+v6fT70Zk0UL4lDGOcESEJCqjDdlYL0zgFo6Lw+FQwrJs1tLp6Qy9lDXJRi7jMOnECO9H5OutVku9Vzwej3awZewiJGcJ5BTnXHk+4X/IaxQirxCHhcshHCUh6oqZYOe4WV6X8F/EEVnWK8ens8BzOp26HrvdrgRZIftKSKc4HwPK0ZExmsvl0uukaO0MBpXjKmuRHKlSqUStVtORlzyPrFuKR5HMy33ltsK5aTabyn2U9QqXSkjUnZ5K4lgs/jWdpG6Px4PNZiMYDGq3zu12Ew6HufHGG0kmk4TD4W23B/RzJNwx+TxfM6M/0zTvv9R1hmGsGYbRa5rmimEYvcD6JR5j+fz/68ZW0N5twEULnG83dFatv/iLvwhs+eW8lpDOe+65h5mZGT7wgQ/wm7/5m8AW2/3nfu7n1LchkUhwzz33ADA4OMjdd9990XHMhTyRLr6JUCjE937v977sbX7sx36Mv/3bv32zhGNeLnT2n3dc8lbfxohGo+RyOfWlEav7Tg6YcC1EOdWZRC3ycSEMd5KMxUlWOjvCSek0+RPy54UbcLFYZH19XV1rxfa/c7RgmqZ2YKTYkI1TiguHw8Ha2pp2N2DrhECcbgEN9ywUCpoU7nK5NHOrU/Ulyd2ykYsk2WazaVZTZ0K40+nE7/er2kqiKaT46IwikKJGXHuFgC1rCQaD2lErFAq6FsnxkuPjdDppNpusra0pgVc6KvK/EMbT6bRypdxuN3a7Xdcr6epiOGi1WnUsKd4/UiCLEaDT6VT+TWc21erq6jZH5Wg0ui2DqlarkU6ntx1bv9+vRbgkikv3xe/3E4vFlPBst9uJxWLEYjF6enq0aySvWQjgcn95XglYvdx4oxycB4EfBT52/v/PXniD82ZeFtM0i+d/fgfQzSx4Gfj9fu666y4OHDjAH//xH1/ydnfffbfyP+67775t1334wx/WP/gLxz8Xu6yLy4PBwUF+/ud//lov43qDeYmfuziPUqlEX18fhw4doq+vj0wmo/wIv99PNpvVTVQ8bxYXF4lGozgcDu2UhEIhisUimUwGQBWLQmSWlHIpkiQYsq+vj1OnThEMBtUIbnl5WZ/T7/fTaDRYXV0lGo2STCZZWlrCarWyuLjI5uYmwWCQRCJBqVQiHo8rL0W6UKdPn8br9aq3ztraGpOTkzqWSyQSTE5OEo1GicfjRKNR5ufnSSQS6vKczWY5efIkN998s47BJDlcuCG1Wo1wOKxE5Z07d7KyssKePXuYn59nbW2NRqOhPBmn08nq6ioOh2OblYXFYmF2dpaDBw+ysrLCyMgI6+vrZLNZ9a9JJpNkMhk8Ho9yT4ScLYGV9XqdQCDAjTfeyKlTp7DZbJRKJWw2G7t37+axxx5jc3OT/v5+NTwUNZ1ETEjYqZCtnU4njUZDO1BLS0taRMTjccrlMjt27ODIkSMqiXe5XCwuLio53O/3KylbuimA8nMkdFU4SdI56+npIZPJ6OhJ1FatVouJiQktWmTcKIWbdO86bQSkGJORFVxe1/83ysGJAn8DDAHzwPtN08wYhtEHfMI0zXcbhrED+Mz5u9iA/2Wa5m++msd/szkZvx60221+4zd+46LXffCDH6S3t/cqr6iLLrbwGjg4bb5JKnbz/2/v7GPrPq86/jnXL7mOHSf32nEc23XikDAaErK2MJZUDCgtylq0SXTSeOkqIQQdgtEhUFU0ECsvgkHFixAw0FYtUiZaECChTdsaiWwDCbG8tE3WpE5amroh8Y1fc+342rGdwx/3d54+TrLlpde59/58PpIl+97f/f2e57nX53fuc875HpixpygnGd9+8P0OcCfs0PDwcOjCvWXLFpqamrh48WLIq5meng4Jp3azn5ycDF2dW1paWL16NYuLi7S0tKCqFAoFZmZmyOVyoTrKdn2s79HOnTt544036OnpYXBwkK6uLgqFQkgULpVKdHR0ICJhl6GjoyOce25uju7ubrq6upidnWV4eDg4GdaiwPJ6du3axfj4OK2traEB5tq1axkdHUVEQo+qnp4ecrkcY2NjIf9ufn6eyclJ8vk82Ww26M2Yg2Y3WxP8W7VqFf39/eRyOV577bUQShkdHaW3t5fDhw+TyWRCwnVjY2NocDk0NBQStBsaGsjn82zcuDEI0h06dIgNGzYwMTFBV1cXra2trF69mkuXLjE1NRVyVyx8ZGEngIGBAc6fPx/ymDZs2MDg4CDZbJb+/n7OnTvH4uIiO3bs4MSJE0s0jKampti9e3cQ2DPlYlNK3rNnD8ePHw9fXovFYthlMyfTKps6OzuD/s9bb70VErObmprYunUr09PT4bNm79HMzAzbtm2jWCzS2dnJyMhIqHwzsUhz+ubn58POkVXdzc/Ps2bNmpBHZRV+zc3NjIyM0N/ff9utG5ZFyVhVx4BrSkiSkNTDye//C+x6N9dZyTQ0NPDQQw9x4MC10iHu3Dj1gKo23PiolYuqhiTXgwcPsm/fPoaGhkJYyJwSy1Wwm14s+GffgK+nCGt5OpYUC4TdXVMZtm/VVnJuCcqWM2H5J5YDY32uLJxjIRP7pm75J3ErAgsVrVu3LjQItfwT09OxsJbdCE0Hxo7PZDKh3NzmZVo+thaNjY1hhyXW/pmZmQnHW26PhbZiHR/bXbCdMSuBvzpnxrR1rL+UzduuYaFGy9+J85FsNy3WxWltbQ1rYtVX9h5bCMj0dSz0YzkuUM6htLwbu469T7HOj/U3s/fSOqRDeXffurDH4U77PNj7Y+E3C3WZUxKrZAOhm7gdY+tg3cebmprI5/Ns2bIltHswEcRK4ErGdcCePXuCg3P33XczMDBQt2rIjuMsxZyNUqnE8PAwFy5cYGRkJDgr5tRYvotp4lwt5heX4Nq3fnvOlH/tecupsORcO5fd6O1cdoOOFYktudicEhEJeiqWA2Ovt5srEBJjrdu1ncvGBoQb9MTExBLxwvhGbx2z4Z1KMRu3JdnGycW2HnEXdiDMzSrRzCmJVZwtadiOMUE8cximp6fDTdyuE6+fhfjsXPaY5U3Z+IvF4pLeTTYWO1cmkwktDmLHLu4YPzU1tSTXKhZPtGOKxSJNTU3BITPxQHN8GxsbQ46OrXusjm39p2IVa8uhss+x9UiL5x07OqtWreLSpUtBeHFxcTGUpNv7XyncwakTnnjiCV544QUeffTRa/RUHMepX6yMOJvN0tfXt6T6yG5MseMS33RsVyG+scb5DLG6b+zgAEvCAbHTZOe018c7PUA4xnY6LNxgN05zhOy6dpzd4GJVYptD3LbBjjHl4Hh+lrBs1VPx+sRzy2QyS5o7xusTh31iWxo7jfa83ahjYifJKp5s3raecbsMey4+jzkdNn5LfrbXxD9Xz9uOMefPrmXrajt98a6TOUk2Dnsvr3ZgbN1ih86ej3f9bAfIHBhbR0u0jnVxLEE73sVpa2sjl8vR0NBAZ2dnEESsNO7g1And3d08+eST1R6G49Q9IrIX+CuggXKu4J9UeUih1Prxxx8PyrFxfoOFXubm5sI3/TVr1oT8BfvbbqgmDGjJxhaKsKocy9OYnJxk06ZNlEqlUC1lpeKWzGzXsUaJlp9h39Stkqevr4+JiYlwEy4Wi6GztMn29/X1BRmMfD7P6dOn6ezsZGpqKuyG9Pb2hs7fltNy/PjxkD9iN8fp6emwuzI5OUmpVApVqfHuzeLiIs3NzZw7dy6EVVpaWoLOju3atLa2hj53CwsLbNq0KWjvdHV1MTU1Fcr14y7vbW1toQLo7NmzAGzYsIG3336b9vZ22tvbg+pwT08Pw8PDXL58Oexs2G5Od3c3hUIBEQmVXhMTE+RyudAyIu63ZQ5NoVAI+VXt7e2sXr2asbEx2traWLVqVdBLGh8fp7e3NwhIlkoldu3axenTp0NV19zcXEhun5+fp7W1lUKhAJQrzcyRtTHG4ovr1q1jfHychYUF1q9fz8WLF5mZmQlVcPb+LC4u0tbWFsKKs7OzITer0riD4zjOikFEGoC/AR4CzgKHROTfVfVEFcfE6OgofX19oTlhQ0MDxWKRhYWFkFxsYm4m4b927VpmZ2dDaTMQ2i5Y8rHpk5gTYkKB5rxYZZKIBAHBy5cvB50T623U1tYWyn3tRmvjmJubW3K9OERj4aiOjg7Gx8cZGhqiu7ububk5xsbG2Lx5M2NjYyE3x3JMRkZGQv7PlStXQosBVQ1NJVtaWoJWTXNz85KdFSAksFpzyE2bNoWdCQulWVjEdGgGBgaYmZkhm80GRXXLTVpYWKCnp4cLFy6EXBarlrKO6JYfZC0P2tvbKRQKQfxwYmIiCBJaFdTs7Czd3d1MTEzQ3d3NzMwM09PTNDU1sX37dsbHx8lkMsERtNCRKQ/ncrmgJG05Rb29vYyPj4c5ZrNZcrkcpVKJfD4fSvpPnTpFc3Mz+XyeM2fO0N/fT6FQCBo2xWKRrq4uFhYWQngsn8+TyWQYGxsjk8kEpWSryLLPtDlx5phbk1FLRjZF7o6ODt58882abNXgOI5TT7wPeD0pfkBEnqfccqZqDg6Uq6isGqqlpSWUIluip+my2LG2w2I5D3F+jCWZWh6FifIBIQwEBGfAKlwsLGY3JOtCbeEMu4Ydb7k25ghZuCPGKo8snBET5xZZvk+sd2NhIktojXNnbE52fnttXJJsTozly1gYxcJCdv04f8bmY8Qii/E8zaGM82xsTS2x2cJstqZ2jbiNge3MWJgndtBsfSVpXGpYGMn0ZKxU29bY1tLmDoSk33jNrOLOdvYymQyHDx8O623CgjYfW0/Ll4rDWFfrIllI1BxWC5Fls9mQc2WhQ3OubWyVdHRq2sE5cuTItIgMVnscy0QnkNbmoz63+uRW53bd1gs1Ti/wdvT3WeCHrz4obhkDzInIte3m04F/nusTn9tSrmuLatrBAQZvRmejHhGRwz63+sPnVvdc7+vhNWJgGrWMSfO6+NzqE5/bzZG58SGO4zip4SxwV/R3H3CuSmNxHGcZcQfHcZyVxCFgm4gMiEgz8DOUW844jpMyaj1E9Q/VHsAy4nOrT3xudYyqLojIrwFfo1wm/pyqvnqDl6V5XXxu9YnP7SZ4V72oHMdxHMdxahEPUTmO4ziOkzrcwXEcx3EcJ3XUpIMjIntFZFBEXheRp6s9nkoiIs+JyIW06WqIyF0iclBETorIqyKSmr4SIpIVkW+JyCvJ3J6p9pgqjYg0iMhLIvKlao+lVnA7VJ+k1Ra5Hbp1as7BiaTUPwhsB35WRLZXd1QV5QvA3moPYhlYAH5TVe8G3g/8aoretzngAVXdBbwX2Csi76/ukCrOk8DJag+iVnA7VNek1Ra5HbpFas7BIZJSV9XLgEmppwJV/SYwXu1xVBpVPa+qR5Pfpyh/SHurO6rKoGWmkz+bkp/UZOeLSB/wCPC5ao+lhnA7VKek1Ra5Hbp1atHBuZ6Uet1/OFcSIrIZuAf4nyoPpWIkW6cvAxeAA6qamrkBfwk8BVy5wXErCbdDKSBttsjt0K1Riw7OTUmpO7WJiLQB/wJ8UlWL1R5PpVDVRVV9L2Xl2/eJyI4qD6kiiMhPARdU9Ui1x1JjuB2qc9Joi9wO3Rq16OC4lHqdIiJNlA3KF1X1X6s9nuVAVSeBr5Oe/IX7gQ+JyBnKYZgHRGR/dYdUE7gdqmPSbovcDt0ctejguJR6HSLlHvefB06q6p9XezyVRETWi8i65PcW4EHgtaoOqkKo6m+rap+qbqb8v/YfqvpYlYdVC7gdqlPSaovcDt06NefgqOoCYFLqJ4F/ugkp9bpBRP4R+G/gPSJyVkR+sdpjqhD3Ax+j7Hm/nPw8XO1BVYiNwEEROUb5xndAVb2cOsW4Hapr0mqL3A7dIt6qwXEcx3Gc1FFzOziO4ziO4zjvFndwHMdxHMdJHe7gOI7jOI6TOtzBcRzHcRwndbiD4ziO4zhO6nAHJ4WISEdUHjksIv+X/D4tIn+7TNf8pIg8vhznvh1E5IyIdH6X558XkW13ckyOs5JwO+R2qNp4mXjKEZFPA9Oq+uwyXqMROArcm+iHVJ1EEfMHVXX0Ozz/o8BjqvpLd3RgjrMCcTvkdqga+A7OCkJEfkxEvpT8/mkR2SciLybfMn5aRP5URI6LyFcTqXNE5D4R+YaIHBGRr4nIxuuc+gHgqBkVEfl1ETkhIsdE5PnksVYReU5EDonISyLy4eTxBhF5NrnuMRH5RPL4TyTHHU9etyp5/IyIPCMiR5Pnvi95vCOZy0si8vckvYSS635ZRF4RkW+LyEeTMf8n8GBiFB3HuUO4HXI7dKdwB2dl8z2U29N/GNgPHFTVnUAJeCQxLn8NfERV7wOeA/7oOue5H4ibpD0N3KOqPwB8PHnsU5Tlt38I+HHgz0SkFfhlYCA6/osikgW+AHw0GU8j8CvR+UdV9V7g74DfSh77PeC/VPUeypL6/cnje4FzqrpLVXcAXwVQ1SvA68CuW1kwx3Eqjtsht0PLgjs4K5uvqOo8cBxoIPmnS/7eDLwH2AEcEJGXgd+h3HTwajYCI9HfxygbiMcA2yr+SeDp5DxfB7KU//kfBD5r37pUdTy57puqeip57T7gA9H5rXnekWScJM/vT87xZWAimsuDIvIZEfkRVb0YnecC0HPdlXEc507hdsjt0LLg22Irmzkof4sQkXl9JyHrCuXPhgCvquruG5ynRNlQGI9Q/kf/EPC7IvL9ybkeVdXB+IUiIsDViWByM+MGFln6Gb4moUxVT4nIfcDDwB+LyIuq+vvJ09lk7I7jVA+3Q26HlgXfwXG+G4PAehHZDSAiTYmRuJqTwNbkmAxwl6oeBJ4C1gFtlJsWfiIxJIjIPclrXwQ+bjFoEclT7pC7WUS2Jsd8DPjGDcb6TeDnk3N8EMglv/cAM6q6H3gWuDd6zfcCqWmg6Dgpxe2Qc1u4g+N8R1T1MvAR4DMi8grwMrDnOod+hXe2bhuA/SJyHHgJ+AtVnQT+AGgCjonIt5O/AT4HDCWPvwL8nKrOAr8A/HNynivAZ28w3GeAD4jIUcrb0EPJ4zuBbyVb0p8C/hBARDYAJVU9f3Or4ThONXA75NwuXibuVAQR+TfgKVU9Xe2x3Awi8htAUVU/X+2xOI5TGdwOOTG+g+NUiqcpJ/nVC5OUkwYdx0kPboecgO/gOI7jOI6TOnwHx3Ecx3Gc1OEOjuM4juM4qcMdHMdxHMdxUoc7OI7jOI7jpA53cBzHcRzHSR3/D2Cx85x1UorKAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F04_NoteC4_Violin.wav')\n", "plot_wav_spectrogram(fn_wav)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The detection of individual note onsets becomes even harder when dealing with complex polyphonic music. Simultaneously occurring sound events may result in masking effects, where no significant changes in the signal's energy are measurable. This is illustrated by the first measures of the third movement of Borodin's String Quartet No. 2.\n", "\n", "\n", "\n", "\"FMP_C6_Audio_Borodin\"" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:09.587776Z", "iopub.status.busy": "2024-02-15T08:48:09.587575Z", "iopub.status.idle": "2024-02-15T08:48:10.342826Z", "shell.execute_reply": "2024-02-15T08:48:10.342270Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_Faure_Op015-01-sec0-12_SMD126.wav')\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_Borodin-sec39_RWC.wav')\n", "plot_wav_spectrogram(fn_wav)\n", "print('Plot of the first six seconds:')\n", "plot_wav_spectrogram(fn_wav, xlim=[0,6], audio=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## General Pipeline\n", "\n", "Many approaches for onset detection follow a similar algorithmic pipeline, but differ in the signal properties that are exploited to derive onset candidates. In this pipeline, the main steps are as follows:\n", "\n", "* First, the signal is converted into a suitable feature representation that better reflects the properties of interest. \n", "* Then, a type of derivative operator is applied to the feature sequence and a **novelty function** is derived. \n", "* Finally, a peak-picking algorithm is employed to locate the onset candidates.\n", "\n", "In particular, we show how to transform a given music signal into a **novelty representation** that captures certain changes in the signal's energy or spectrum. The peaks of such a representation yield good indicators for note onset candidates. We have seen a similar concept when applying novelty detection to music structure analysis. \n", "\n", "In the following notebooks, we study four different approaches for computing novelty functions:\n", "\n", "* [Energy-based novelty](../C6/C6S1_NoveltyEnergy.html) approaches measure changes in the flow of the signal's local energy (see Section 6.1.1 of [Müller, FMP, Springer 2015]).\n", "\n", "* [Spectral-based novelty](../C6/C6S1_NoveltySpectral.html) approaches measure changes of the signal's spectral content over time (see Section 6.1.2 of [Müller, FMP, Springer 2015]).\n", "\n", "* [Phase-based novelty](../C6/C6S1_NoveltyPhase.html) approaches measure indicate discontinuities in the signal's phase spectrum, see Section 6.1.3 of [Müller, FMP, Springer 2015]).\n", "\n", "* [Complex-domain novelty](../C6/C6S1_NoveltyComplex.html) approaches combine spectral-based and phase-based information, see Section 6.1.4 of [Müller, FMP, Springer 2015].\n", "\n", "In the [FMP notebook on novelty comparison](../C6/C6S1_NoveltyComparison.html), all four novelty detection approaches are directly compared using different music examples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Another One Bites the Dust\n", " \n", "As an illustrative example, we consider an excerpt of \"Another one bites the dust\" by Queen. Starting with an offbeat consisting of two sixteenth notes played only by bass, four percussive beats (played by kick drum, snare drum, hihat, and bass) follow. Furthermore, between each two subsequent beats, there is an additional hihat stroke. The subsequent figure shows the waveform with annotated onset positions. \n", "\n", "\"FMP_C6_F01.png\"\n", "\n", "
\n", "\n", "\n", "\n", "The following spectrogram representation shows, that the quarter-note drum beats as well as the hihat sounds go along with transients (vertical lines), while the initial two bass-only sounds have more diffuse onset properties." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:10.345594Z", "iopub.status.busy": "2024-02-15T08:48:10.345396Z", "iopub.status.idle": "2024-02-15T08:48:10.584097Z", "shell.execute_reply": "2024-02-15T08:48:10.583570Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F01_Queen.wav')\n", "plot_wav_spectrogram(fn_wav, audio=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next code cell, we use a [spectral-based method](../C6/C6S1_NoveltySpectral.html) for computing a novelty function. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:10.586760Z", "iopub.status.busy": "2024-02-15T08:48:10.586576Z", "iopub.status.idle": "2024-02-15T08:48:11.201686Z", "shell.execute_reply": "2024-02-15T08:48:11.200884Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " position label\n", "0 0.117460 onset\n", "1 0.247619 onset\n", "2 0.372698 beat\n", "3 0.646349 onset\n", "4 0.911111 beat\n", "5 1.184762 onset\n", "6 1.445442 beat\n", "7 1.735238 onset\n", "8 2.000000 beat\n", "9 2.287619 onset\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def read_annotation_pos(fn_ann, label='', header=True, print_table=False):\n", " \"\"\"Read and convert file containing either list of pairs (number,label) or list of (number)\n", "\n", " Notebook: C6/C6S1_OnsetDetection.ipynb\n", "\n", " Args:\n", " fn_ann (str): Name of file\n", " label (str): Name of label (Default value = '')\n", " header (bool): Assumes header (True) or not (False) (Default value = True)\n", " print_table (bool): Prints table if True (Default value = False)\n", "\n", " Returns:\n", " ann (list): List of annotations\n", " label_keys (dict): Dictionaries specifying color and line style used for labels\n", " \"\"\"\n", " df = libfmp.b.read_csv(fn_ann, header=header)\n", " if print_table:\n", " print(df)\n", " num_col = df.values[0].shape[0]\n", " if num_col == 1:\n", " df = df.assign(label=[label] * len(df.index))\n", " ann = df.values.tolist()\n", "\n", " label_keys = {'beat': {'linewidth': 2, 'linestyle': ':', 'color': 'r'},\n", " 'onset': {'linewidth': 1, 'linestyle': ':', 'color': 'r'}}\n", " return ann, label_keys\n", "\n", "fn_ann = os.path.join('..', 'data', 'C6', 'FMP_C6_F01_Queen.csv')\n", "ann, label_keys = read_annotation_pos(fn_ann, print_table=True)\n", "\n", "x, Fs = librosa.load(fn_wav)\n", "x_duration = len(x)/Fs\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs)\n", "\n", "fig, ax = plt.subplots(2, 1, gridspec_kw={'height_ratios': [3, 1]}, figsize=(6, 3))\n", "libfmp.b.plot_signal(nov, Fs_nov, ax=ax[0], color='k', title='Novelty function');\n", "libfmp.b.plot_annotation_line(ann, ax=ax[1], label_keys=label_keys,\n", " time_min=0, time_max=x_duration)\n", "ax[1].set_title('Annotated onset and beat positions')\n", "ax[1].set_xlabel('Time (seconds)')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we apply a [peak picking strategy](../C6/C6S1_PeakPicking.html) to locate the **local maxima** or **peaks** of the novelty function. The positions of the peaks are our candidates for onset positions. In the following code cell, we apply a peak picking strategy provided by the function [`scipy.signal.find_peaks`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html). Furthermore, we generate a visualization of the peaks along with a **sonification** via a click track added to the original audio recording. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:11.204676Z", "iopub.status.busy": "2024-02-15T08:48:11.204402Z", "iopub.status.idle": "2024-02-15T08:48:11.308845Z", "shell.execute_reply": "2024-02-15T08:48:11.308312Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "peaks, properties = signal.find_peaks(nov, prominence=0.02)\n", "T_coef = np.arange(nov.shape[0]) / Fs_nov\n", "peaks_sec = T_coef[peaks]\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, color='k', \n", " title='Novelty function with detected peaks')\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys, \n", " nontime_axis=True, time_min=0, time_max=x_duration)\n", "plt.plot(peaks_sec, nov[peaks], 'ro')\n", "plt.show()\n", "\n", "x_peaks = librosa.clicks(peaks_sec, sr=Fs, click_freq=1000, length=len(x))\n", "ipd.display(ipd.Audio(x + x_peaks, rate=Fs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "* In the subsequent notebooks, we discuss various novelty detection approaches that captures certain changes in the signal's energy or spectrum. In particular, we introduce an [energy-based novelty](../C6/C6S1_NoveltyEnergy.html), a [spectral-based novelty](../C6/C6S1_NoveltySpectral.html), a [phase-based novelty](../C6/C6S1_NoveltyPhase.html), and a [complex-domain novelty](../C6/C6S1_NoveltyComplex.html) detection approach.\n", "* In the [FMP notebook on novelty comparison](../C6/C6S1_NoveltyComparison.html), these novelty detection approaches are directly compared.\n", "* In the [FMP notebook on peak picking](../C6/C6S1_PeakPicking.html), one finds an overview of different implementations of peak picking strategies." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
\"C0\"\"C1\"\"C2\"\"C3\"\"C4\"\"C5\"\"C6\"\"C7\"\"C8\"
" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }