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

Peak Picking

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

\n", "In this notebook, we compare different peak picking strategies using note onset detection as example task. Some of these strategies were developed by Nieto and Bello in the context of music structure analysis and by Böck et al. in the context of onset detection.\n", " \n", "

\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking\n", "\n", "In the introductory [FMP notebook on onset detection](../C6/C6S1_OnsetDetection.html), we discussed that the positions of **peaks** (thought of well-defined local maxima) of the novelty function are good indicators for onset positions. Similarly, in the context of [music structure analysis](../C4/C4S4_NoveltySegmentation.html), the peak positions of a novelty function were used to derive segment boundaries between musical parts. In the case that the novelty function has a clear peak structure with impulse-like and well-separated peaks, the selection of peaks seems a simple problem. However, in practice, one often has to deal with rather noisy novelty functions that have many spurious peaks. In such situations, the strategy used for **peak picking** typically has a substantial influence on the quality of the final detection or segmentation result. \n", "\n", "* Often, simple **smoothing** operations may help to reduce the effect of noise-like fluctuations in the novelty function. \n", "* Also, **adaptive thresholding** strategies, where a peak is only selected when its value exceeds a local average of the novelty function, can be applied. \n", "* To further reduce the number of spurious peaks, another strategy is to impose a constraint on the **minimal distance** between two subsequent peak positions. \n", "\n", "In the following, we introduce several peak picking strategies that are based on various heuristics and depend on a number of different parameters. At this point, it is important to note that there is **no best** peak picking strategy per se—the suitability of a peak picking strategy very much depends on the requirements of the application in mind. On the one hand, unsuitable heuristics and parameter choices may lead to surprising and unwanted results. On the other hand, exploiting certain data statistics (e.g., minimum distance of two subsequent peaks) at the peak picking stage can lead to substantial improvements. Therefore, knowing the details of peak picking strategies and the often delicate interplay of their parameters is essential when building MIR systems." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running Example: Shostakovich\n", "\n", "In the remainder of this notebook, we use a spectral-based novelty function computed for the Shostakovich example introduced in the [FMP notebook on novelty comparison](../C6/C6S1_NoveltyComparison.html). In the computation, we deliberately use parameter settings that lead to a novelty function that has some prominent peaks as well as a number of noise-like spurious peaks and unwanted secondary peaks. As for peak picking, we consider this a scenario of medium difficulty." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:15.141516Z", "iopub.status.busy": "2024-02-15T08:48:15.141228Z", "iopub.status.idle": "2024-02-15T08:48:18.106289Z", "shell.execute_reply": "2024-02-15T08:48:18.105567Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import os, sys, librosa\n", "from scipy import signal\n", "from scipy.interpolate import interp1d\n", "from scipy.ndimage import filters\n", "from matplotlib import pyplot as plt\n", "import IPython.display as ipd\n", "\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c2\n", "import libfmp.c6\n", "%matplotlib inline\n", "\n", "fn_ann = os.path.join('..', 'data', 'C6', 'FMP_C6_F07_Shostakovich_Waltz-02-Section_IncreasingTempo.csv')\n", "ann, label_keys = libfmp.c6.read_annotation_pos(fn_ann, label='onset', header=0)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_F07_Shostakovich_Waltz-02-Section_IncreasingTempo.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs)\n", "x_duration = len(x)/Fs\n", "\n", "N, H = 2048, 512\n", "gamma = 10\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=N, H=H, gamma=gamma)\n", "figsize=(8,2)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Spectral-based novelty function with annotated beat positions (low difficulty)');\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", "\n", "N, H = 1024, 256\n", "gamma = 10\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=N, H=H, gamma=gamma)\n", "figsize=(8,2)\n", "fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', \n", " title='Spectral-based novelty function with annotated beat positions (medium difficulty)');\n", "libfmp.b.plot_annotation_line(ann, ax=ax, label_keys=label_keys,\n", " nontime_axis=True, time_min=0, time_max=x_duration);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: Simple Approach\n", "\n", "Intuitively, a peak or local maximum is characterized by the property that the novelty curve changes from an increasing state (positive derivative) to a decreasing state (negative derivative). In the following, code cell, we define a first simple peak picking approach that looks for all such turning points. Furthermore, it discards peaks that lie below a specified threshold. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:18.109233Z", "iopub.status.busy": "2024-02-15T08:48:18.108986Z", "iopub.status.idle": "2024-02-15T08:48:18.324635Z", "shell.execute_reply": "2024-02-15T08:48:18.324076Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def peak_picking_simple(x, threshold=None):\n", " \"\"\"Peak picking strategy looking for positions with increase followed by descrease\n", "\n", " Notebook: C6/C6S1_PeakPicking.ipynb\n", "\n", " Args:\n", " x (np.ndarray): Input function\n", " threshold (float): Lower threshold for peak to survive\n", "\n", " Returns:\n", " peaks (np.ndarray): Array containing peak positions\n", " \"\"\"\n", " peaks = []\n", " if threshold is None:\n", " threshold = np.min(x) - 1\n", " for i in range(1, x.shape[0] - 1):\n", " if x[i - 1] < x[i] and x[i] > x[i + 1]:\n", " if x[i] >= threshold:\n", " peaks.append(i)\n", " peaks = np.array(peaks)\n", " return peaks\n", "\n", "def plot_function_peak_positions(nov, Fs_nov, peaks, title='', figsize=(8,2)):\n", " peaks_sec = peaks/Fs_nov\n", " fig, ax, line = libfmp.b.plot_signal(nov, Fs_nov, figsize=figsize, color='k', title=title);\n", " plt.vlines(peaks_sec, 0, 1.1, color='r', linestyle=':', linewidth=1);\n", "\n", "peaks = peak_picking_simple(nov, threshold=None)\n", "title='Simple peak picking (without threshold condition)'\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "\n", "threshold = 0.2\n", "peaks = peak_picking_simple(nov, threshold=threshold)\n", "title='Simple peak picking (threshold=%.1f)'%threshold\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "plt.hlines(threshold, 0, x_duration, color='cyan', linewidth=2);\n", "plt.legend(['Novelty function', 'Peak positions', 'Global threshold'], \n", " loc='upper right', framealpha=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: MSAF\n", "\n", "To reduce the effect of noise-like fluctuations, it is often beneficial to apply a smoothing filter to the novelty function. Furthermore, instead of considering a global threshold for discarding small, noise-like peaks, the idea of **adaptive thresholding** is to select a peak only in the case that its value exceeds a local average of the novelty function. A combination of these two strategies is applied in the following peak picking approach, which is used in the python package [MSAF (Music Structure Analysis Framework)](https://github.com/urinieto/msaf), see also the [paper by Nieto and Bello](https://zenodo.org/record/1417661#.XsyuMToza9I). " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:18.327752Z", "iopub.status.busy": "2024-02-15T08:48:18.327573Z", "iopub.status.idle": "2024-02-15T08:48:18.664495Z", "shell.execute_reply": "2024-02-15T08:48:18.663939Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def peak_picking_MSAF(x, median_len=16, offset_rel=0.05, sigma=4.0):\n", " \"\"\"Peak picking strategy following MSFA using an adaptive threshold (https://github.com/urinieto/msaf)\n", "\n", " Notebook: C6/C6S1_PeakPicking.ipynb\n", "\n", " Args:\n", " x (np.ndarray): Input function\n", " median_len (int): Length of media filter used for adaptive thresholding (Default value = 16)\n", " offset_rel (float): Additional offset used for adaptive thresholding (Default value = 0.05)\n", " sigma (float): Variance for Gaussian kernel used for smoothing the novelty function (Default value = 4.0)\n", "\n", " Returns:\n", " peaks (np.ndarray): Peak positions\n", " x (np.ndarray): Local threshold\n", " threshold_local (np.ndarray): Filtered novelty curve\n", " \"\"\"\n", " offset = x.mean() * offset_rel\n", " x = filters.gaussian_filter1d(x, sigma=sigma)\n", " threshold_local = filters.median_filter(x, size=median_len) + offset\n", " peaks = []\n", " for i in range(1, x.shape[0] - 1):\n", " if x[i - 1] < x[i] and x[i] > x[i + 1]:\n", " if x[i] > threshold_local[i]:\n", " peaks.append(i)\n", " peaks = np.array(peaks)\n", " return peaks, x, threshold_local\n", "\n", "median_len = 24\n", "sigma = 2\n", "peaks, x_smooth, threshold_local = peak_picking_MSAF(nov, median_len=median_len, \n", " offset_rel=0.05, sigma=sigma)\n", "title='MSAF peak picking (sigma=%1.0f, median_len=%2.0f)'%(sigma, median_len)\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "t = np.arange(nov.shape[0]) / Fs_nov \n", "plt.plot(t, x_smooth, color='magenta', linewidth=2);\n", "plt.plot(t, threshold_local, color='cyan', linewidth=2);\n", "plt.legend(['Novelty function', 'Smoothed Novelty', 'Local threshold'], \n", " loc='upper right', framealpha=1);\n", "\n", "median_len = 16\n", "sigma = 4\n", "peaks, x_smooth, threshold_local = peak_picking_MSAF(nov, median_len=median_len, \n", " offset_rel=0.05, sigma=sigma)\n", "title='MSAF peak picking (sigma=%1.0f, median_len=%2.0f)'%(sigma, median_len)\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "t = np.arange(nov.shape[0]) / Fs_nov \n", "plt.plot(t, x_smooth, color='magenta', linewidth=2);\n", "plt.plot(t, threshold_local, color='cyan', linewidth=2);\n", "plt.legend(['Novelty function', 'Smoothed Novelty', 'Local threshold'], \n", " loc='upper right', framealpha=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: Scipy\n", "\n", "The signal processing package `scipy.signal` of `scipy` contains a [peak picking function called `find_peaks`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html). This function takes a one-dimensional array and finds all local maxima by simple comparison of neighboring values. Optionally, a subset of these peaks can be selected by specifying conditions for a peak's properties. For a detailed description of this function, we refer to the [documentation page](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html) of this function. In the following, we consider three of the available parameters.\n", "\n", "The [`prominence`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.peak_prominences.html#scipy.signal.peak_prominences) parameter corresponds to the peak property that indicates how much a peak stands out from the surrounding baseline of the signal and is defined as the vertical distance between the peak and its lowest contour line." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:18.667092Z", "iopub.status.busy": "2024-02-15T08:48:18.666908Z", "iopub.status.idle": "2024-02-15T08:48:18.858886Z", "shell.execute_reply": "2024-02-15T08:48:18.858298Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "prominence = 0.05\n", "peaks = signal.find_peaks(nov, prominence=prominence)[0]\n", "title='Scipy peak picking (prominence=%.2f)'%prominence\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "\n", "prominence = 0.1\n", "peaks = signal.find_peaks(nov, prominence=prominence)[0]\n", "title='Scipy peak picking (prominence=%.2f)'%prominence\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [`height`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html) parameter specifies the required height of peaks. It is either a number, `None`, an array matching the sequence, or a two-element sequence of the former. The first element is always interpreted as the minimal and the second, if supplied, as the maximal required height. In the following code cell, we give two examples: one with a globally defined threshold (minimal and maximal height) and one with a locally defined threshold curve (similar to the MSAF peak picking approach)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:18.861727Z", "iopub.status.busy": "2024-02-15T08:48:18.861416Z", "iopub.status.idle": "2024-02-15T08:48:19.083835Z", "shell.execute_reply": "2024-02-15T08:48:19.083246Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "height = (0.1, 0.5)\n", "peaks = signal.find_peaks(nov, height=height)[0]\n", "title='Scipy peak picking (height=(%.2f,%.2f))'%(height[0],height[1])\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "plt.hlines(height[0], 0, x_duration, color='cyan', linewidth=2);\n", "plt.hlines(height[1], 0, x_duration, color='cyan', linewidth=2);\n", "\n", "height = filters.median_filter(nov, size=8) + 0.1\n", "peaks = signal.find_peaks(nov, height=height)[0]\n", "title='Scipy peak picking (height = local median average)'\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "t = np.arange(nov.shape[0]) / Fs_nov \n", "plt.plot(t, height, color='cyan', linewidth=2);\n", "plt.legend(['Novelty function', 'Local threshold'], \n", " loc='upper right', framealpha=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [`distance`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.find_peaks.html) parameter specifies the required minimal horizontal distance (given in samples) between neighboring peaks. In this approach, smaller peaks are removed first until the condition is fulfilled for all remaining peaks. The distance condition is particularly useful of signals with certain periodicity properties, which imply minimum bounds for the distance. For example, in the case of [beat tracking](../C6/C6S2_TempoBeat.html), the expected maximal tempo yields such a minimum distance between two neighboring beat positions." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:19.086601Z", "iopub.status.busy": "2024-02-15T08:48:19.086413Z", "iopub.status.idle": "2024-02-15T08:48:19.279743Z", "shell.execute_reply": "2024-02-15T08:48:19.279198Z" } }, "outputs": [ { "data": { "image/png": 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nm58fGidap/KyvP08kyBpXvL90votkyxbeNUhjL4WpHzY/TSZPFvCmOK1nN+xRoY+GbxlygUZe8Lq917qHrTPhdVew6YN8bm5RmSI6Fho18m/wcwJ988Q0ZnQju0+E9qR9U8z85HOWrlEZBQUFBQUFBQUBIjIf0SGmWdDu8/EDudCc3KYtWvc2xNRkQO9O156KTk0Xui98jNh7ty5WHXfff51sEoPYoNk28+rfrK8/TyTIGle8v3S+i2TLFt41SGMvhakfIj9NOk8w9Y1DL38jjUy9MngLVMuyNgTVr/3UvegfS6s9ho2bYjPLRnnyHRD7OVn20RaAojoWiIqJqLiXbt22XOUidR4jea40QeIDo0ZMwYDJ0zwr4NVehAbJNt+XvWT5e3nmQRJ85Lvl9ZvmWTZwqsOYfS1IOVD7KdJ5xm2rmHo5XeskaFPBm+ZckHGnrD6vZe6B+1zYbXXsGlDfG5Si33FLb+f2EwtfQrgIWaeK/7/JYDbmHmRE8+DaWqJiABoO8AUFBQUFBQUkotAU0sS2Abtuncd3QGUBOJ4/PHJofFC75WfQGNjY3AdrNKD2CDZ9vOqnyxvP88kSJqXfL+0fsskyxZedQijrwUpH1I/DYVn2LqGoZffsUaGPhm8ZcoFGXvC6vde6h60z4XVXsOmDfO52e3LNv8A9Aaw3CbvLADTod2qOxrAAhmejufIfP21855yWRov9F75CezcuZMBsGZKnzpYpQexQbLt51U/Wd5+nkmQNC/5fmn9lkmWLbzqEEZfC1I+pH4aCs+wdQ1DL79jjQx9MnjLlAsy9oTV773UPWifC6u9hk0b8LnB4RwZ1ysKiGgKgOMBFBDRNgD3AkgXTtALAD6DtmNpPYD9AK5y4+mKfv2SQ+OF3is/gfLy8uA6WKUHsUGy7edVP1nefp5JkDQv+X5p/ZZJli286hBGXwtSPqR+GgrPsHUNQy+/Y40MfTJ4y5QLMvaE1e+91D1onwurvYZNG+Zzs/Nwwv45RmSKipy9M1kaL/Re+QnMnTtXPiJjJ8MqPYgNkm0/r/rJ8vbzTIKkecn3S+u3TLJs4VWHMPpakPIh9dNQeIataxh6+R1rZOiTwVumXJCxJ6x+76XuQftcWO01bNqAzw2t7mTfVoSPP/4Y55xzDjIyMlBfX9/c6igotCjs2LEDHTp0QFZWVnOroqCgkGTU1dVhzpw5OOWUU0KXFfZi3+Tj8ceTQ+OF3is/AX1qqW16un8drNKD2CDZ9vOqnyxvP88kSJqXfL+0fsskyxZedQijr5kwdOhQPH3BBfIFQuqnofAMW9cw9PI71sjQJ4O3TLkgY09Y/d5L3YP2ubDaqw/aadOm4dRTT0VJicT+nhCfW7M5MitWrLDPlDGKDI0Xeq/8BHRHpl2a63IjexlW6UFskGz7edVPlrefZxIkzUu+X1q/ZZJlC686hNHXBJgZZWVl2FlWJl8opH4aCs+wdQ1DL79jjQx9MnjLlAsy9oTV773UPWifC6u9+qCtrKwEANTU1ATjGfC5NdvUUkpKCkej0WaRnUzcfffd+Otf/4pBgwZh+XLL66gUFP4nUVdXh+zsbNx88814+umnm1sdBQWFJOOJJ57A+PHjsWLFCgwcODBUWS1yaklfpGOJ4cPdGcjQeKH3yk9Aj8g0rV/vXwer9CA2SLb9vOony9vPMwmS5iXfL63fMsmyhVcdwuhrAvqascjkyfKFQuqnofAMW9cw9PI71sjQJ4O3TLkgY09Y/d5L3YP2ubDaqw/auro6AEBDQ0MwnkGfm90q4LB/ALihocF6hXJxsfMKZlkaL/Re+QlceOGFDIAP6d7dvw5W6UFskGz7edVPlrefZxIkzUu+X1q/ZZJlC686hNHXBMrKyhgAX3PeefKFQuqnofB0KNfU1MTfT57sUyF3/r7L+R1rZOiTwVumXJCxJ6x+76XuQftcGDb1SfvnP/+ZAfCCBQuC8ZR4bnDYtdSsi31tvbg2bdwLy9B4offKT6CiQrtPs1Fmis5OhlV6EBsk235e9ZPl7eeZBEnzku+X1m+ZZNnCqw5h9DUBIyIjrvCQQkj9NBSeDuVeeuklHPGLX+DLL7/0qZQzf9/l/I41MvTJ4C1TLsjYE1a/91L3oH0uDJv6pDX6eCQSjGfQ52bn4YT9A8Dl5eXW3tdPfuLsncnSeKH3yk9gyJAhDIC7pqb618EqPYgNkm0/r/rJ8vbzTIKkecn3S+u3TLJs4VWHMPqawNq1axkAX9amjXyhkPppKDwdyt1zzz0MgO+++26fSjnz913O71gjQ58M3jLlgow9YfV7L3UP2ufCsKlP2ltuuYUB8Ncyp/sGfG5oiefIEBGXlJSgqKioWeQnC/369cO6detQWFiInTt3Nrc6CgotBsuXL8dhhx2Giy++GP/617+aW50fFa+++iquvvpqXHTRRZg6dWpzq6OgEAp+85vf4IUXXsCMGTNCP0umRS72BRymliZMcC8sQ+OF3is/Af3SyMaqKv86WKUHsUGy7edVP1nefp5JkDQv+X5p/ZZJli286hBGXxMwws5Ll8oXCqmfhsJTotzatWv98Zbk77mc37FGhj4ZvGXKBRl7wur3XuoetM+F2F690npa7Bvic2tWR+ZgOAlXnxuMHARbyRUUkgnDkfkf7Bv6B04gR0ZBoYXD0xqZENGsU0tLly7FYYcd1izyk4UuXbqgrKwMWVlZqK2tbW51FBRaDL766iucdNJJOP300zF9+vTmVudHxfPPP48bb7wRgHZYWE5OTjNrpKCQfJx//vl4//33MXXqVFx00UWhymp9U0ut6PZr/csrIkJsvmSo26+DyfWoX2VlJWZ26+ainByvpJU5CG+/Nr7W/vMf+UIHye3X+rgAAJs3b046f9/l1O3XydFBhvZ/4PZrvY9LTS0djLdfA+BvvvnGeoXymjXOK5hlabzQe+Un0LZtW+P262g06k+GVXoQGyTbfl71k+Xt55kESRMYMWIEA+CqqioXBd15Ja1MsmzhIb9jx458/KhRLopJyLHB+++/zwD42JEj5QuF1E9D4elQ7m9/+5sxLixatKjF6OV7rJGhTwZvmXJBxp6g454X2rDG5zBs6pP2xBNPZAD82muvBeMp8dzQUs+RsV0jI7NwVobGC71XfgLmuUHzV5gnGVbpQWyQbPt51U+Wt59nEiRNQL91vSpZesahsbERtbt2eSqTNFt4yK+oqMCsBQtcFJOQYwO9fzd6WQsXUj8NhadDOfNYIPW16pG/73J+xxoZ+mTwlikXZOwJOu55oQ1rfA7Dpj5pPa2RseHZ1NSEyh07gulj5+GE/QPAn3/+ubX3NWyYs3cmS+OF3is/gfT0dE5JSWEAXFNT40+GVXoQGyTbfl71k+Xt55kESWPm/fv3G1/Ka9eulVDSnpcd7rnnHj48O9tTmaTZwkO+bgdX+Owbr7/+OgPgkTk58oVC6qeh8HQo95e//MWw76xZs1qMXr7HGhn6ZPCWKRdk7Ak67nmhDWt8DsOmPmmHDx/OAPi5557zzfOVV17hjqmpHIlEHMvCISLTrI7Mhx9+6F75FoxoNMoAODc3lwHw3r17m1slBRd8/fXXxgtm8eLFocg4//zzOSsrKxTeyYS0I+MTL774IgPgI444IjQZLRX60e0AeMaMGc2tjgIzv/vuu7xkyZLmVuOgwuDBgxkAP/nkk755TJgwgQHwnj17HOmcHJmWObU0frx7YRkaL/Re+QHQb+/Ozs4GIDG1ZCfDKj2IDRzKNjQ04IQTTsC3l17qzt+Jn5N+srb080yCpAFYvHix8bfU1fMOvOxQVlaGuro6b8cLJMsWkvls2q3ou926wAg7//CDfKEQ+mlgmT7KmUPtvqeWQtDL91gjQ58M3jLlfObdeOONePayy5Kjgwytj/FZiiYMm/qk1c+RkZpasuGpl92/f79vfVqmI9O1q3thGRov9F754cAD0LdWuj5MOxlW6UFs4FB2/fr1mDVrFn791Vfu/J34Oekna0s/zyRIGoB9+/YZf1dXVzvLd+FlB/2E58rKSvlCybKFZL65re7evds3HycYa2RSPAwzIfTTwDJ9lDM7h77PywpBL99jjQx9MnjLlPOZV1dXh/rMzOToIEPrY3yWognDpj5pPe1asuGpl3V0ZNz0sQvVhP0DwBMnTvQdjmoJ2LdvHwPg/v37MwD+4YcfmlslV+j33/Ts2bO5VWkWjB8/3gj5v/POO6HIaNeuHQPgNWHssEkSKioqDDt8//33oci4//77GQD37ds3FP5BUVVVxTfccAPv2rUr6bxvvfVWw75TpkxJOn8/2LJlS6ufzg+CnJwcvuSSS5pbjYMKhYWFDIDvvfde3zz0vuI2DqHVTS21koiM/tWlTy21hoiM4f1u2+bO34lfK43ImKeTwojI1NXVGZGYlhyRMX/9uN4RFjAiE/FyjsqPGJF58skn8fzzz+Plvn39MWhlEZlbbrkF5557bsz0qi85rTQi09DQgIYPPkiODjK0LSQi09jYiFdeeQWNXu419BiRkZpaCjEi0zIdGbE91hEyNF7ovfLDgYcn7cjYybBKD2IDh7K6zfd7CbF60G/hwoXghQv98/Uj14N+NTU1yMvLA+DBkfHQNnaZtl3v3btXulzSbCGZbx40ysrKfPNxgjHIFRTIFwqhn9ph3rx5AIC8227zx8BBl6SskfFbV5tybdu2BQDcfffdweQkexzzIsNnXjQaRWNjIxqOOSY5OsjQ+hifpWg82nT69OkYN24cZjz6qHwhSRmeppZseEqtkXHRp2We7CtzP4nXO0zc6H3ciRK/RsZ10aSdDKv0IDZwKKsvztrv5ToFSf3effddjBo1CpP//nf/fH3I9WK/6upqdO7cGYCHxb4e2oY5uuHJkUmWLSTzPUVkfN4X5OscmRD6qRWYGYsWLQIA7NmwwR8TB10aGxuRkZ4OIIAj47euNuUyxcfLjBkz0NTU5F9OsscxLzJ85unPoMFLlNSL7l7qHvT95tGmy5YtAwBskP3AlJTBzN4iMjY89bKO47GLPi0zItNKbr/2PLXUAm6/9hXmltRv9uzZAICSt9/2z9eHXC/2q6mpQUFBAQgeIjIe2oY5uuHJkfmRb782DxquERmft+0aOxpk7SwjK0m3X69bt86od/nMmf6YOOgSiUSQK3aG+Z5aSvItx/rziEajKC8v9y+nFd5+bUQO1q1Ljg4ytC3k9uvly5cDADa89558IQkZZgddypGx4ek2tTR//nzcf9VVjqzT3KWHB9sOPmuWe2EZGi/0XvkhcWrJNSJjJ8MqPYgNHMr6GlQl9SspKQEAtJUN1ft5JkHScGBqKa9NG3lHxkPbMEc3PK2RSZYtJPM9TS356BuAaWrJyzRmCP3UCuvXrzf+3n3ccf6YOOgSiUSQ26UL9mzb5j8i47euNuXqTPfBlZaWolOnTv7kJHsc8yLDZ54RkRk4MDk6yND6GJ+laDzaVHdkNg4bJl9IQoa5PUm1cRuebhGZ0aNHu7KWisgQ0elEtIaI1hPRHRb5xxNRJRF9L35/luBpX/lrr3VXSobGC71XfvCxRsZOhlV6EBs4lK2TudxShp9F2g5xzPS+V1/1z9eHXC/2q6mpQW5uLvKamuQdGQ9tw/fUUrJsIZlvdmRcHS4ffePKK6/EtGnTAEheqCory4cuVti6dSsAoFu3btjt5VJLSV0aGxuRI45V9x2R8VtXm3Lmvh/jvCZrLPU7jnmR4TPPV0TGi+5e6h70/eZBr0gkgjVr1gAANs6dK11ORoa5XUtFZGx4OkVkNm7c6M4XEhEZIkoF8DyAUwBsA7CQiD5i5pVxpHOYeayUVAApKSn2HXyE5U3d3mm80HvlBx9TS3YyrNKD2MChrNnm0WgUKTJnfEjqt2XLFgBAZX6+O087vj7kerFfdXW15sjk5ck7Mh7aRllZGXJycpAJj45Msmwhma9//bTPyXFfK+Sxb+zbtw+TJk0y/t9oOnzPFSH0Uyv88MMPSE1NxeDBg7F71Sp/TBx0iUQiyMzLQ1pNjf+IjN+62pSrr69HQV4edldXo7S01L+cZI9jXmT4zDMiMl6ig15091L3oO83D3qtX78eDQ0N6NSpEzbu2QNmBhEFky9gdoylHBkbnk6LfR988EF3voD7OTIAjgLwhen/dwK4M47meACfuPEy/9LS0vi6667zvfe8JWDRokUMgH/3u98xAP7qq6+aWyVX6PffIMlXKlRVVRl8b7zxxqTxTTaKiop43LhxPHToUD777LOTzv/Xv/41d+vWjfv06cOXX3550vknC6+88goD4H79+vHRRx+dVN7fffed0Rb0X2NjY1JlBMXll1/OvXr14iuuuIJ79eqVdP5jx47loUOHck5ODo8fPz7p/P3g2GOPNe7G+dvf/pZU3rfffjuPkrlJvZmwcuVK48yv/yV8+eWXDIAvuugiBsAlJSVJ462fSQaAL7zwQt98TjnlFAbA99xzT0z61KlTGQDn5OTocgKdI9MNgPmM8W0iLR5HEdESIppORIPcmDpOLbVp466VDI0Xeq/84CMiYyfDKj2IDRzKmiMyFRUV7jLs+MWlrTOFbCtfeME/X49yPaXBNLW0ZIl8RMZD29i/fz9yc3PRfssWbxGZZNlCMl//+ilcv95526OMnDhssNgFJPXFJiPLRz+1wtatW9GzZ0/k5+djt4gkeoaDLpFIBOlLliAzM9N/RMZvXW3K1dXVoeD775GdnR0bkUnCWPrII49gwYIFiW0pyXXwm6c/g4iXHT9edPfSP4O+3zzopUdNBg3SXsmyUzUyMjxHZFyeTXzbmT59OgoLC/HII4+4spZxZKziUPGx4sUAejHzEADPAvjAkhHRtURUTETFbNq6lQCxaNQRMjRe6L3yg481MnYyrNKD2MChrNnme/bscZdhxy8uzbzOYt9pp/nn61GulzRmNqaWck88Ud6R8dA2ampqkJOTg3Y/+5k3RyZZtpDM1weNgjPOMKaWrr76ajz11FPe5cQhkCMTQj+1wtatW9GjRw8UFBSgBj7Xjjno0tjYiPRRo5CRkeHfkfFbV5tydXV1yD7jDHTu3Dl2jUwSx9Li+PM+klwHv3nGGhkvh8l50d1L/wz6fvOgl96u+/TpAwCxDqxf+QKe18jY8LSbWlq1ahUGDRpkHG/iBBlHZhuAHqb/dwcQoxEz72PmavH3ZwDSiSjhFCxmfomZRzDziLS0tINm15L0OTItYNeSecCWdmQk9NMbYWZmJirFQkpffD3K9ZJWX1+PaDSqRWT27w9l15IRkYlEWvSuJd15ya+vN/6eMWMGvvnmG+9y4mD11efaN2RlJWHXUlNTE7Zv346ePXuiQBzWF7MdWRYuu5bSqquRkZHhf7FvCLuWsior0aVLl9gXWhLG0gEDBgAA/vvf/0rp4kdGkDxjjYyXowAkdf/yyy9R8fHH8uV/xF1L+njfq1cvABI7FD3ICHPXEjNj1apVGDBgADIyMlxZyzgyCwH8hIj6EFEGgJ8D+MhMQERdSKwgIqJRgq/jyOA4tfTSS+5aydB4offKDz6mluxkWKUHsYFDWV9TSxL61YoD9rp06YJK2VC9n2cSIE3vKHl5ecjbulXekfHQNvSITPtt2+TtKyPDTxtxyN+/fz9ycnKQZ5paqqmpsY5MeOwbgSIyIfRTM/bs2YMuXbogEokYU0uAT0fGQZfGxkakl5YGm1ryW1ebcvX19cjctCkxIpOEsTQ3NxcA8O2330rp4kdGkDzDkXGbRpWVI1BfX4+TTz4Zp//2t/Llg77fPNhU7889evQAwYMjI1l3QHvZS/Vvl2djjsiUlpaisrISAwYMMA5ydIKrI8PMjQBuBPAFgFUApjLzCiK6noiuF2QXAlhOREsAPAPg58zOWxUcdy1Zebd+aLzQe+UHH+fI2MmwSg9iA4eyvqaWJPTTG2GXLl1QKXskvZ9nEiBNd2Ryc3ORd9558if7emgbekTmkOuuw/bt22Nu2w4kw08bccjX9cz5+c8NO9g6Mh77xoYNG5AuTrXVIe3IhNBPzdiwYYNx2/fo0aONiIz5aglpOOgSiUSQNmJEsIiM37ralKurq0PWWWclRmSSMJbqHzIrV650pfUrI0ieMbUU1y596yCg952FVtFXH+OzFI0Hm+r9OS8vD/kFBfKOjIQMg3fbtnL924an1dTSKrGTMGmODKBNFzFzP2Y+hJkfFGkvMPML4u/nmHkQMw9h5tHM/F9njlpExraD/+IX7krJ0Ajs2bMHuy+4IGn8dMRPLbk+TDsZVulBbOBQ1vyikp76kNAvJiIjeyGlWx1l7SKZpkdgcnNzkffll/IRGQ9tQ4/IDBWnxS5ZsiQ5Mvy0EYd8PSKT++mniEQiqK2tRUNDg3Wf9Ng3duzYgcGDB8ekSU8tBaiTDPR2OnPmTAwdOhQdOnQA4HGrvIQujY2NSF+2LFhExm9dbcrV1dUh6+uv0bFjx9j6epVjQa/bNcEhTHId/OYZERkvV7NI6O64UN7H+CxF48Gmen/OzMxE50hE3pGRkKHzbhOJyLVxl2dj/rA0OzLJmloKBY6OzFiJ42hkaASuv/56nL9iRdL46fA8tWQnIy69uLhY7rRRSX5m1NfXo127dkhNSZEfvK34xaXpHbqoqAiVTU1wCci56ikr10tazNTS4MHabbgyHdBD29AjHUMvvhgA8N1338kVTJYtJPN1hyt3yBAAB15AlhEZD/VnZtTV1aFv3I3S0hGZAHWSgV6/rKwsAAcuUpSOnEnqEolEkFZUFCwi47euNuXq6uqQ1b8/8vLyEDG/fLzKsaDX7VpZWRn7rJNcB795xr1fzIhGo8F1EHCM6voYn6VoPNjU3N47d+8u78hIyNB5t+nQQa5/2/C0isgsXrwYHTt2RNeuXZMXkQkDKSkp9i+RJEdkNmzYgGVuDzBAREZ6aknSQz/55JPxhMw6Ex8ef319PbKystCuffukRmTMjkxjU5PcLpAfOSJjnloqOOkkABIXJtrxt4HuIBT99rfo1KmTvCPTDBGZ3Nxc5IjbgB0dGQ/118v37t07Jl3akXGQFYlEwJdeKq2LFeIdmXbt2gHw6ci4RWT69g22aymJ0Qx9l2jm0KGJt78nKSKTlqadr6pP3fniLVMuQEQGSE5b1NHSIzJ6e8/IyEDnww8PJSKT17WrnE1teFot9v3vf/+Lo48+GkTUiiMyMicPytAI7Ny5E3v37nVefOmBnw7dcZGeWrKTYUqPRqOorKxExUMPuSsgwS8edXV1yMrKQvuKCvmIjBW/uLTa2lqkpKSgsLAQgOS0lZvNJeR6STNPLXW7XlvetX37dlc1vbQN3UGglBQMHToUixcvliuYLFtI5htTS8IOukNn6ch4qL9evlu32KOmpF8eNrJqamrQqVMnvC9zErWEfvrHRxtxtoUvR8bBLpFIBGlTpwabWvIxJtmV08farL/8JdGR8SrHgr62thY9xHgYM72UxDoEyTO/a6Sfh4TujhEZH+OzFI3H/piVlQUiQucpU+QdGQkZuhPXrrhYzqY2POMX+5aXl2P16tU4+uijAaDlR2RsHRmZaQnJY8+Z2RikHQ8D8nKMuoDniIydDFO6PtBWX3aZuwIS/OJRX1+PzMxMtBs6VD4iY8UvLk1/MepfuFK83WwuIddLmjki03XRIgAHLrr0rIcFGhoatDt2cnIAZvTp08e4fyqwDNl6S+Ybjoy4EVfvI5Z90kPf0NdK5OTkYP78+Zg4cSIAD2tkbGTt2rULe/fuxbqHH5bWxQrxEZm0tDTk5OT4c2Qc7NLY2Ij0X/0q2NSSjzHJrpzhyDzxhLHDyHBkvMqJo9enE3sceyyAuIhMEusQJM/8opV2ZCR0N0dkEqasfIzPUjQebKo7MgDQ+aGHUFNTI7fJQUKG3tfbnX++3IeKDc/4qaV58+YBQOtwZBy3X0+e7M5AhgZAVVWV0YmttoV65WeG5wPx7GSY0vXGUb16tbsCEvziYTgydXXyERkrfnFp+/fvR3Z2trHmQMqRcbO5hFwvaeY1Mt3mzwcgGZGRbBt6R8zNzQUmT0ZOTo77qbmyMmTrLZlfVVWlTS0JOzhOLXnoG2ZHYdSoUejSpQsADxEZG1n6S7daDHJ+ofcvfXAHgLYZGd7O/NHhYJdIJIK0LVuCRWR8jEl25YznsmxZYkTGq5w4en187dnUBCAuIpPEOgTJ83x4m5scAbNTkBDx9zE+S9F47I+GI7NpEwDJ6XQJGYYjU14uZ1MbnvGLfb/99lukpqZihLibqfVOLX3yiTsDGRrEPrRp06Zh7NixmDBhgm9+Znhe7Gsnw5RunOkhs/NHgl88jKmlqir5wduKX1xabW2t94iMm80l5HpJM0dkCmfPRnp6upwjI9k2dP45OTnAJ58YjozUwudk2UIyf/fu3SgoKECuiEw5Ti156Bv64Kb3CX0btvTLw0ZWlbhJutrvBY8C8REZAGjb1OQvIuNgl8bGRqRv2xYsIuNjTLIrZ9R75cpER8arHIu+DwA9xHEOMRGZJNYhSJ6viIyE7uYPlYQdWz7GZykaDzaNcWTELdhS00uSdU9PT0fW9u1yNrXhaY7IMDMWLVqEQYMGGZHDFh2RSUlJsV8QmsSITLwj8+mnn8bczOuVnxmep5a8RGTEkdJB+cXDiMicdFLSIzJmR0bqxfAjR2TMa2RSpkxBUVFR6BEZx6s4vMhIYkQmGo2ivLwchYWFyBH3mDhOLXnoG4EdGRtZuiNTJRYn+4WlI9O/vz9Hxi0ic/rpwRb7hhCRybz5ZsORMaIJASMyxroocShcS4/ISD8PjxGZBEemhUVkCh59FECcoxlARm1tLbKzs5F+5pm+IzLMjMbGRvTt2xfMjGeeeQbFxcUYPny4QdOiIzLp6emorKy0fpmefbY7AwmaJUuW4P33349JGyK2m/qSGQf94ekNxfVh2skwpRuOjNt2cUl+8dAdmfazZ8tHZKz4xaXpU0ueIjJuNpeQ6yWtpqYGqampmod/9tno1q2bnCMj2TZiIjJnn20sAq+VObsiWbaQyK+oqEA0GkVhYSFyx48HcGAQrq+vT4wgeegb8Y6C7shIr5GxkWVEZKZPl9ZFRj8AaLd5sz9HxsEujY2NSP/002BTSz7GJLtyRr2feCIxIuNVThy93r7zXn4ZHTt2jH1R+qjDpEmT8ObQodLyZfJ8RWQkdHeMyPgYn6VoPNhUH+8BoOCOOwBIOjISMvQofMYnn8g5MhY89XJXpafj3HPPxa233ordu3fHODItOiKjf7EtW7YsMfPaa90ZSNAcccQReOyxxwAAr958M95++22MGTPG+iUrIzMO+uCcnp6O9LQ094dpJ8OUrg8KNRIXZcnwi4fuobc78khUVVXJnalgxS8uzdfUkpvNJeR6SdNvviYi4Npr5R0ZybYRE5G59lrDkZFaJ5MsW0jk6wNuYWEhcq+4AkBs5DIhKuOhb8RHZPQtudIRGRtZhiPj5dI/C9TV1SE9PR2pqalGWttDD/XnyDjYJRKJIO2II4JNLfkYk+zKGYt9zzor0ZHxKsei7wNA9mmnoaCgIPaF7qMOV155JX75/ff2B1Y68bTJ8xWRkdDdMSLjY3yWovFgU3NEJl+Uk7qOQ0KGEZEZNkzOphY89XEh86ij8NxzzxnprSYi4+jIHH+8OwMZGhMu+/Ofcckll6Bdu3aorKxM/Or0yA848BDS0tKQlp7u/tVpJ8OUrr/0qsXCuaD84mFMLR1+OJhZbgC34heXpk8t6dtZpRwZN5tLyPWSpt98redLOzKSbSMmInP88d4cmWTZQiLf7MjknHgigFhHJmHK10PfsIvISDsyNrKMxb6mSIof1NbWxkRjAKBt377+HBkHu0QiEaQfckiwiIyPMcmunPFcRo5MdGS8yomjN3gPG4bCwsLYF7pH3k2mce+tt96Ski+T5ysiI6G7uW+XlZVh8uTJB3Yq+hifpWg89kfj8Mczz0RaWpqcIyNZ9+zsbKQfcggaGxvd1wJa8NSfRXr//ujevTvOO+88ALEzJy06IpORkYH27dtbOzIyX10SNHqHBYAMcUBXu3btEI1GE719H196ZkcmvbbWfbC2k2FKNyIyMuE/CX7xMKaW7rsPgKTDYcUvLk33zlNTU5EXhK9HuV7S9IiMnt+lSxdUV1e7OxqSbSMmItO1qzdHJlm2kMiPicgMGgTAJSLjoW8EXiNjI8tYIxN/u7JHmAd2HW3fecffriUbXZkZTU1NSHv66WARGb/RJ4tyxhqZiy9O3H7tVY5F3weA7CuvRKdOnWKPHPDIe5tpk8N74mgAN/kyeb4cGQnda2pq0LZtWxQSYcmSJbjssstwgX4djo/xWYrGg03N7Z26dUN+fr7c1JKEDH3Mz3jySQAS08cWPPVxIf3eewEA77zzDrZt22aMHwAS7m2zQrM5MgBw2GGHYenSpYkZYtByhARN586dE+jbt28PwOJFKyMzDo2NjUhLSwMRIa1jR/cHaSejqgonnngiXn75ZWNQ2I/YrxOv/OxgTC2Jrx2pBb9W/OLS9IgMALTr1k3uxeBmcwm5XtJqamoOOLdVVfILkyXbRkxEpqrK6IxSjkyybCGRrw9khYWFyKiqQmpqakwUJiEi46Fv2E0tSa+RsZFlTC0deqi0LlawdGRuuw379u2T210Wq5RlsjHl/Oc/G4t9PfN24O+nnBE1mTMHaWlpyMzMPODIeJUTR28885kzMXjwYKxdu/ZAm/fIWz8iIzs72/6F68TTJs/X1JKE7vq4123IECxcuBCA6aPAx/gsRePBpjHtvaoK+fn5chEZCRn6coL0++8HIGFXC566I5MhppXS0tISDtOUOd23WR2Zww8/HMuWLYvp5E8++SROHTjQvbDENeN6R33ooYcMets1HD6um49EIsZAnd7Y6P7VaSODX3wRs2fPxoIFC2IWhrq+AH1cE29MLc2dC0AycmLFLy4txpGJRuVC9W42l5BrlTZnzhyM7N074YUcE5F56SX5e3Yk24Z5ezdeeslbRCZZtpDI1yMyBQUFoJdfNvTUkeDIeOgbgaeWbGQZjozMGRgu+pm/9gCg7apViEaj8mf+6LDRVXdk0hYvNsLi0vWX4O+nnPFcxA3EeXl5BxwZr3Li6A3en32GESNGIBqN4vvvv/fFe/369QCAkd27Y4/Yzu0mXybPV0RGQnd9TOna2GhEk/SPZT/jsxSNx/5oODIvvYSCggI5R0ZChrFGprgYgEQbt+BpTC19841j0UyXE72bPSJTVVWFLaZ7haZMmYKZq1a5h7+E8ZxQXV2N8ePH44477jDobR0ZCX7xaGxsNAbq9KYm9wdpI6Nm3jw0NTWhsrIyZjB1PYHRTmeHutTV1WlTS5s3A5CMyFjxi0vTGzUAtBN18cXXo1yrtHnz5qF4y5aE9S8xa2SKi+UdGcm2ETO1VFzszZFJli0k8nft2oV27dppXznFxQdsIpAwFeKhbwSeWrKRZUwtyZxK6gDLiIw4V8PzOhkbXY1weUmJ8SXpa52MjzHJrpyx2FcctKk7MkuWLMGrdmtRJPkbz3ztWmORZrFO47EO69evR2ZmJg5LT7e/UsaJp02erwPxJHQ3IjKmiKP+jvEzPkvReLBpTHsvLpafWpKse3Z2NjLEOOvn/WdEZLZudSya4RLRbHZHBjiw4Le6utq4m2aROKjLFi4eYzQajZ1KCCkiow/UaYWF7uFzGxmVDzxg6GSOyNiu2nfh5xaRycrKQjtxpoCUI+MxItNW9vqDkCIyep3iB8IfKyKTk5PT4iMyBQUFBk28I5OMiIxvR8ZGlrHYV2ZRoQOsFvu2u+EGAD4cGbeIzKWXBnNkfIxJixYtwp35+Qk2MtbIiF2ceXl5qKmpwRFHHIGrZ88OpJfhyDz6KLqKtWeGI+OxDhs2bECfPn1QcNFFqKystJ5e9xmRSRFf9aFEZC65xEgzIn5JishMnz4de/bsQWlpqWZbn7uWwojI5OTkIP1XvwIADBgwwPnj2yki85vfOMrKzM93zG9WR2bw4MEADjgy8+fPNxpusZtH6LKq2nwcvZled2QSXuA+dy3pU0uZZWXuNz7byKgUK7U9OzIeV8UzMxoaGpCZmYluv/418vLy8NVXXznLsONnSotGozEh+3aLFwfetRSNRrF61CjPugDOjoy5PeiOTJXbfLBk29i/fz9SU1O1l5dp15LUOTI/8q4l/XJPHH88+vXrF5MfZNeSXld9SsXzGhkbWfozYmY5e9rAMiLz178C8OHI2OhqRGSee86wg68Fvz7GpKlTp+Lhhx9OcJ6N6R/xwo2ZWoJkG7XRy+B92WUgIgwdOvTA2kePddi6dSt69eqFDm++CcDmQ8vHjp76+nqj78s4MldddRU+Eu8nJ+gfcF1Nh7257gbzsGtp9erVOPPMM9GxY0d88sknKCsrwxKZe/gE9Ai8zlNfI+Nnh1E89Cj8kcJBKS8vx1anyIoFT6OviM0ndshwuvAZzezItG3bFr1798bSpUsRjUYxZcoUpKSkoHthobsjY3XNgAl6Y9K3A+v0thEZF35WME8tdenXz/2CQBsZlVdeaehkHlBcp5bsdLZJ1wfTzMxM5Nx/P375y1/i7bffdvfQrfiZ0vSBzFgjM2qUnCPjYPN33nkHAxYuxLRp0xzLrFy5EhfGnZ5r58jETC1NmCB/87Fk26ipqUFOTo52Ts2ECd4iMm4yXJ6BF54xjsyECTje5sUkLccEPeJB4qZbzxEZG1lmZ9PVwXeApSMzbhwAyfViZtjoaiz2Pfdc3xGZjRs34k89eniOPultPr7tG87Gn/4EINGRsV2PYoW4ehsRmbvuAgAUFRUd2ILtcVytqKhAQUEBOl58sfF/N/k6xo0bh6dsnI+Ghgajv+uLr+1sW19fj9dffx2f9e3rqq8ekel21VVG2t69e3HBBRdgrr57SVJ/KxqzY/DEE08AACpOOMG9vIAegdd55ufnIxKJuH+8SeioTy0NeewxfPHFF5puTg6HBU9jaunyyx1lZerjlQ2a1ZEBtOmlZcuW4dFHH8XEiRNx7bXX4thjjjGmmKzw8ssv4xbhsdtBf1DGF7j46rR1ZOK+SmVgnlrqfsghMVsHLWEjo9K0k8r80nMdsO10tkk35smzsoB+/XDttdeivr4eH330kXc5pjRdZ8OR6dFD7uvWweb6or977703dsCJKzNjxgy8O3t2zIWgUlNL/frJTy1Jto3KykqDJ/r18+bIuMlweQZeeMY4Mv364YS4gTEheuChb8Q7Cp4dGRtZ5oHXdRB20S9+sW8H8fJzHIStYKOrcSxDt26+IzInnngiHnzzTWwWa9lkoX+UxH+cGI6M2G6fl5cXc+eOJ0cmrt6GIyN4x3z1S7Sd22+/Hbfddpuhd8eOHdGhf397vWx4fvjhh5hhcxdXfERm+PDhuFds+Y2H/kG6W+IsL/3jpavpALd169bhvffew4yNG60LyfQnQVNaWmokrRJ1q5DYjgwcuJXc6I/9+hlTyq4frxI6Gusi+/VDx44d3fla8DSmlsTxKHbINB2lYoVmd2SGDRuG1atXY/LkyRg1ahT+/ve/49CZM7Ft2zbbwe/DDz/E5Ndec+SbEJERN2nm5OQgNTU10ZER+V5gnlrq/sUX2L59u/NJuTYyKm+8UfvXa0TGTmeb9Jibf0eMwIABAwBI3ABtxc+Upr+ojamlN99Ercy5Og421weTlStXYuXKlbZl9K2O5nNQrBwZfVeK4diOGCHvyEi2jZ07d6JTp05GGU/br91kuDwD2TLMHOvIjBiBoXHHwSdEZDz0DfOib8DH1JKNrKqqqsSD3HzAKiJTeOmlACxOZnWDja5GROa++wydvU5b6Rsgdu/ejfXr1+Oee+6Ris7YRWTq6+uRkpKCtNGjAWgL0vWPBcCjIyPqPX/+fLzzzjsH1t/87GcAtN1w9fX1WruXaDvTp0/H559/jsbGRlRWViI/Px8dxdUZF198Me68805L+Wbo94ftmjPHUoY5IrNjxw589913eP311y1tqo895f/+t6vu+/fv1yIyv/xlTBoA7LJbZ+Jgk2g0ioceegi7RJ/UdRlsijRVvPqqq17AASfBaO8jRiBfrDVxXfDr8tz0Kd6cnJwYvo4fAxY8jYiMWKdmhwxTW7VCszsyY8aMQTQaxbJly3DMMceAiNDjyScRjUZRUlJiWaasrAzlzI4vyoSIjOBFRGjfvn2iI2MjywnmqaUejzyCSCTifEW6jYxKcXHf/v37vYXQ7XSOS9++fTsaGxsN3Tp16gSUlGjbsNu1c7/W3UqOKU13kIzFvg8+CEAiVO9gc/NONvOAG19Gf/mYX0JWjoyuoxGREfVPT093f8lIto1du3YdcGRKSoz1MlKOjIOMbdu2YaPYLq/j/fffx7RnnvHMc9++fYhEIgccmZISpKWl4YMPPsCUKVMAWDgyHvpGfMTDc0TGRlZ1dTW6dOli/O0XVot987dvBxG594N42OiqR1HSXngBXcUhYFInSAuYaXfu3InXXnsNDzzwAH744QfXsnYRmfLycm1bsNA5L+4L11M0SvAYPXo0Lr74YpSXl2vTieKlG/OylGg7ZWVlKCsrM3TIz89HB+GQbNmyJTFibMFTvz9sl8Wha8XFxdiwYYPR9/WNJD/88IPlphL9vbNbIiqhR2QKS0tx0003xUQ3d55+unUhB5usXLkSd911F6aJaZjS0lLk5eVh5MiRBk3FmWe66gVY3CtWUmKcreZ6A7bLc9MjjNnZ2UBJiRGRcWxHFjyNiIw4FsAOmVbrJU1odkdm9OjRxlfbaPG10GPBAgCw7bilpaXGl6Ud9MHO6LCPP27k6dcUxMCUL4uYqSWxpsdxeslGRqWpo5aWlhrTX64Dtp3OpvSKigoceuiheOONN4wOWlRUZNB07tzZvVFbyTGlJUwtidNXXR0ZB5tv3boVR/XqBQDYtGmTbRm9DbhFZMw3X+t8iAht2rRxn6qQbBsxERlRJicnR86RcZDxm9/8Bhcfd5zxf2bG+eefj4suusgzT/Opvmaac889F8eIm6UTpkE89I14RyE1NRVEJO/I2MiqqqoynIJkR2TSnn4a+fn53iMyFrp++umnOOWUUwAA6dOnG4d7eXFk/vnPfxp/79q1y9gMIePI2EVkSkpKNF2Ezj169IjJl43IzJkzB//8xS9i0j744APthSZ4645MeXm5a9tpamrC7t27sXv3bsP++fn56Pivfxk069atM6JcO3fuxF6xy9MMIzJr8bIcOXIkKioqjHeB7rwQET788MMEemNqyfQxZQc9IkNPPIFnnnkmxpHZ9d131oUcbKK3kxJxqvGOHTtQVFRkRM8BoEI/o8cFCY7M448bfcguSABozsW7v/qVYwQwJgr/+ONo27YtUlNTnR0Zi3obi31Nz9sKGaYpNis0uyOTm5uLESLkdNRRRwEAegovzWoFNDMbjdbpBay/nIypJdODs3RkfEZkjKkl8UAcHRkLGZWVlSg3vYRLS0uNeUzXqSWJiMz333+Puro6LF++3Gi8Xbt2NWg6derk+CU6c+ZMRKwGUJMMvXyHDh0AAO1E9CNoRGZY+/bIy8vDhg0bDiz+jiujy3aLyMQcVmfi07Zt26RFZGIcGVFG2pFxkLFu3TqsNDnvs2bNktLHimeCI2Oi0Qe8IBGZ+KklAGibkSG3zd9GVkNDAxoaGjQHHMHXyMQ7MigpQWFhYVIiMvqiRwBI27sXnTt3RmpqquOLw4yFCxfiT3/6E0466SQAWptavnw5AJexBdrYaBeR2bFjR0y/Hz9+PI4++mijz8o4MsyMY489FleIyJ3e1rdv367ZVPCOcWRc6r17925Eo1FEo1GsXbsWALQ1Mqb2EolEjCjXmWeeiest1kfq7bo2ErG9yHHJkiWGvvn5+ejfv3/stLWA/qzKa2ocX+b19fVoaGjQxhTTeGLIthv/HGyiy94unClLR0ZyUbpdRIaIHDemvP/++7jwjTfwr3/9C2eccYbl+BhzXlRJCYgIHTp08ByRMaaWXNpfpst6pWZ3ZADg0ksvxZgxY9C9e3cAQA9xXLHVF8jevXuNcJSTI+MUkWnfvn2iwYNGZET5yZMnx06FOMhoaGhA+/bt8Yg42hrQ6qQPBMmIyOidd8uWLUbjlY3ILF++HKeeeiqmDBvmKEMfZPr06QMAaHfrrQAkzqixi1BVVqKyshK9LrsMffr0wXPPPYeRI0di9erVrhGZSCRiOA5Wjkx8e3BzZEpLS/GlRCi3pqYG+/fvT2pEZunSpfj222+xdetW1DY2oqSkBOeddx5OFBc9Ai5txENEBjiwZTrBkfHQN6wW0/b+6U9jo2pOsJCl9yc9ilBdXY0ZM2Z4P4nXRj88/rirQy+r62zTmSzp112H1NRUdOnSRToiM336dDQ1NWHatGnIzs7Ghg0bDNu5RWRqa2uNaJpVRKZr166GztnZ2Zg7dy5KxEtIZmpp/vz5xt979uyJWWexY8cOXxEZ89ijOxX5+fnIeOqpGLrVq1ejqqoKixcvxlKLU17NDov5b7OjctRRRxm76Q4//HD07t3bcjG17kxEolFHp1kv26tXL6OexoczANvW5GATXXaJeBfqZ8cceeSR6N+/P4YMGYKK+PZrA6uITHp6OgoLCx0d63Xr1gEAnn32WXz++edYIGZIzIhZTiDq07FjR+fFvhb1NqaW7rjDsS4Zhx/umN8iHJmbb745ZgDIO+44tG/f3jIiY17FXeoQbkpwZEyryg855BDjYQFaeLPJ6mXtAvNi38IzzgCgbRu+VCweTIBJBwD4t8Visp07dyI3Nxf5qamO9bPiZ5Wun+ewdetWlJSUoEOHDlrDFjROA7j+JbhC7Ciwk7Fp0yakp6cbYcteN90EQNtC6kd/fX1Mr3/8w3COAHHe0PDh2LZtG/74xz/GrEnSBy9zFMhxaknIdnNkHn74YZx28smuL01dD8NBEPxlHJmHH34YV1oc+HTLLbfg7LPPNgaNL774Av+NuzTR8eVmYd8ER8ZEYxuRsWtnFrBag9Jn82Z5R8ZC1uOPP46srCyME9ukFyxYgNNOOw2PikMdZRGNRtHQ0JAYkRk+PPHWZh+67t27N+buuLRbbgEA+VvWob1EevTogfbt26NTU1NM9M0tImN+iZj/bmpqQmlpqdY/TToTEbKystA+JUUqIvOmKRIyf/58RKNRPPPMM7j99tvxxz/+0eAd48i4tB07Rya+3MSJEzFp0iQwMzatXp2wqcLNkYlf3Dts2DBbR8YcrXBaFKvvlDzkkENixhMdFRUV1ovcHWxiTC395z+GLkVFRSgsLMTq1atx4oknosJtd6yAsQhbP0dGyO3ataujI6OP2/PmzQOAmHeljpipJcG3Y8eOzg6xRb2NiIzLNHmmy6GNLcKRScBLL6Fnz56Wg7S54ctMLcWf7AtoJxDu2rXLaKQXX3wxLunQAR988AE+/fRTaTXNi31TTHfW2A7acavY3377beNv/UsB0BrH4CFDrG8Gd+Bnla4PrFu2bDnwVWai6dy5M8rLyy3XMKxZs0b796c/dZSxadMm9OrVC6mpqQCA3q+9huzsbMyePRuXX365/Zeujf66/Xrdey96m7blrV69GnjpJbzxxht47LHHMHv2bMMJ0WXoUaCcrKyYwTlhaknIdnNkvv/+ezQBWLFihS2NWb4RkRH8c3JyXA8bmzJlCqZUVaGhoQEPPvggxo0bB2bGkiVLYl5I94vL2b799ltMFgdw2TkyX3/9Nf5rsRMgwZExPYO0tDSkpKQkrpHxeLJvfMSj79ix2LRpk9yZKHGy9uzZgzfeeAPXXHMN+vXrh26dOhn9ZurUqZ7OWYk5fiBOpmxERn8ujY2NeO/nP495oX7zzTcx+qT/4Q8AvDsy+gGFhYceaky35OXluUZkzC8R89+7du1CU1OT1vctnmWHLl2kHJl58+YZ6/fmisXnPXv2xMMPP6w5lYK3vvBz9+7drm3H1pGJK/fBBx/gJvGBVMecMDVi58isWLECbdu2xZAhQ2LuFDv77LPRu3dvVFRUJERdSsRGAKMONohxZEzjiRnm/ltZWYnu3bvjw7g1RvGyAWB7ZiZqampQVVVlLHIHNNtWC4fcDQkRGaFjUVGR49SS7sjobdvKkYmZWjI9d0dHxulkX7HhxQ6ZYtmJHVqmI9OmDXr06IGNGzcaxly2bBk+++wzaUemurra2JWi89ShzzeuWrUKDQ0NmD59OqZ/+y1++9vf4uabb5ZW0zy1hDZtsHz5cvz+979HeXm59cvRpENDQ0PMQjNzJ8vOzsZhAwdi2bJlztu5Tfys0iORCFasWIGMjAzs2rULGzZsOODICBr9xWvVYQ1HxmoANcnetGlTTOQkpV07DBgwAG+++SbeeuutxEPtoA0wg37+c0ycODEhb968eUhLS8PgIUNi5rtXr14NtGlj3DL72WefGXn64KU7Mn169EBFRYXxYkmYWhL6Oy321V9awIEpOjskODKCv1tEpra2FitWrECDeFYvv/wyJk2ahLVr1ya8XDZv3owxY8Zg9OjRxnoyq5cbM+OKK67AtQ8/nJC3a9cu5OTkHGhvpueof6EnRGTs2plNfRIiMn37ora21nVR+bx581Atpg1qa2txwgkn4N5770VjYyMuvPBCAMCQAQMMu6xatcrVwYzXDbBwZNq0QadOnVBRUeG6KPkf//gHjjjiCFx33XW44LbbYtrgnDlzDowHANKE3bw4MmvXrsVPfvITAEAn4WwWFBRg9OjR0hGZtLS0mBdozNo4i2fZwWqqPQ6RSATLli0znsM34pK/mJuKBe/09HS0a9cOEyZMwNl//KMjX3ObWLVqFdLS0rTpmTZtMHXqVHz00Ue4+eabceyxx8aUM58bBcQu9jf/vXLlSgwcODDmQxEAjjnmGOMjybxDkpmxbds24x3hNFWi74Tq3LmzUfd4R8asy5w5c7B9+3a8a7NFHDjwrCoqKw0ntqtpJ5buJMo4nrqzYlxiKXSUjcjocHVkBN/8/HzndmTR9ozFvvr9VDbIiLvYNh5SjgwRnU5Ea4hoPRElTGaRhmdE/lIi8j5PY8bYsRg9ejRWrFiBsWPHgplxzTXX4Pzzz9deZgDapaTYTr1UV1dj8+bNsVsMx441/hwobtdetWoVFi9ejNraWuyvrcWOHTuwcePGhE5iB/PUEsaORZ8+fYxV65bRFJMOc+bMwb59+3CVOBHS/LLLycnB4TNmGPUw46uvvsLcuXMxcOBAvDpmTIKIPXv2gM86C4A2dVVfX49zzjnH0ElfMKnr4rQdT7f1+o0bEwd4U13iHRmMHYtBgwYZTsSXX34JQJuqGjJkCNasWYOJEydi5fr1uOaaazBz5swY1v/5z38wcuRI5F58MX7/+9/jZz/7GYYPH47Vq1ej9PTTjTnbTz75BADQJTU1wZHpW1KCSCRiTDUlRGSE/k4RmW3bthn8zFMGVkhwZAT/7OxsR0dm6dKlxrUc7733HrZs2YJIJIIXX3zRkv4ucXpqt27dQLBeEL9y5Ups27YNK9atS3j5xZwhY9JTR2ZmZowjw8wJNE6wisj0Ec6q0/TS2rVrcfTRR+Mu0X8+//xzzJo1C88++yzS09MxSmy/HCKeQ5cuXZCamopJkyZ50g2wcGTGjjVs4vTi2rVrF+6++24AwKviLA+zIzN79myMGDHCWMuTfvvtALRnVVlZ6bp4v7y8HHv27DngyIhDQY877jjbCLUZ+kukb9yalxhHxuJZdti40fXFuHLlSjQ0NOCkk05C25QUIyJjfsmaeev97JOvv3Z04srKypCZmYmsrCzU19ejY8eOmtMxdiwuuuginH322Xj66acxa9YsjB07FheI03Ljx+hdu3YZY5s+FtTU1KC4uBiHx62vGDlyJFJTU7W1LUDMGDt//nzs3bsXY0Vd3CIyhxxyiKEvcGCNjB5FMUeH9OUTsx2i/tu3bzdOg9Y/8saYxvmYaTsXfP7558jLyzM20+g6FhUVoayszHLaq76+PmHMcHJkcnJyDL5uEZlai7WGxtSSON3eDpkuZ/q4OjJElArgeQBnABgI4FIiGhhHdgaAn4jftQD+4cbXEWvX4q677sIDDzyA6dOn469//SsWLFiA+vp6PPnkk0hNTcWAUaMsX77V1dU48sgjMXXq1NgvbeHdAtqiwZycHKxcuTJmbY6O+BerHcxTSzp/vdOYX3y1tbW47777MOW++4yX+8cff4zMzEwjXGoOSWdnZ+NwsSXb7BDNnDkTJ510EsaMGYNVq1bhLiLU1tZizZo1GDBgAMaNG4eioiKMO+44MDPeeustdOjQAdddd53Bwxh4hL76izc+rM7MWLt2LfLz89GIAy+hnTt34vnnn8eG6dMBaPbevXt3rCOzdi0GiVM+AW2ao6mpCXfffTeWLl2KP/3pT5g2bRpOO+00dOnSBU8++aRBW1NTg4ULF+K4444D1q7FwIEDMXfuXBwjTnsu2rQJJeKMFv2LZdDxx6O8vBxNTU2G43G6WD/xkghn6m3BcGREWSdHRn+G2dnZ0o6M4SQI/m4RGX0raHp6Oh43LYZ79tlnDdk5OTm4+uqrMWjQIJx22mkGfVHXrpYvN/POmRkzZsTk7d69O9aRMfULAMYLBdDWoA0ePBiXDh8ufaCd1a6lvmIQcnJkXnjhBTAzJjGjuroaU6dONfJGjhxp8BzyD21oOfbYY3HOOedg0qRJ0sf/x19oaWDtWtt+YMadd96J6upqDBkyxEibPn06GhoasH//fhQXF+PYY481+lhETP/17NkTgPu4or8w9Kml/WLd3XHHHYfu3bujtLTU0SnQX24/OfXUmBed/mXetWvXhOcNAB3PPtvVkdFPWh8+fDj6HHYYGhsbkZKSYnwIAYjhbf7if//99/Hll1/is88+S4gwl5WVoXPnzgYf/UUdrycR4eOPP8aUKVOQmppq6cj06dMHmZmZhvMwefJkVFVV4VfiUkNAGwd0J0yPyJgdmXfeeQcZGRn49a9/DcDZkVm/fr02rWTSV4/I6OPf9u3b8e9//xslJSXGu2ZLY2NMFEiHvpZJb1/PP/88jjjiiJixVeq8Fmjjt34UgO4YwRThiUajlm19y5YtYGbDNkVFRdi4cWNC/49ZI2PabaafUxWP8ePHo7C0FN9++21MujG15HCSP+Du6Bh3Ttj9ABwF4AvT/+8EcGcczYsALjX9fw2AIie+w4cPZ1vcey8zM0ciEe7Xrx8D4PT0dO7fvz8D4C5duvD5AwYwEXFeXl7MLysri1NSUhgAa9WL5alj+PDhnJqaymlpady/f38+tGNH7tevH/fs2ZPT0tIS+Fr9iIgvvPDCGP7RaJTbt2/P6enpBl1mZqahT25uLufl5XFKSgqfeeaZHIlEGIBRBgDfeuutXHXnnUxEnJGRYfBJTU3l/v378w033MAPPvggA+Ds7GxOS0vjtLQ0BsA5OTmGHCLia6+9lrds2WLIf+GFF2L0XbduHQPgzMzMmLrl5uYyAL7yyisNOXl5eYacFGF7Xd7bb78dY+uPP/6YAfBpp51m6AOAe/XqZejyxnnn8X333ccADLk6v+nTp8c8s6eeesooB4AvvPBC4+9bjzzSkKHbeuutt/JZZ53FKSkphr1TUlK4qqoqpv5/+ctfYuSbfxkZGQyALx082LKtmX/6845vb7r9nMoVFBTwCb17MwDOz8/nkSNHMgDu2bMnH3300fzTn/6U+d57ORqNxrTh0d27c2pqagJPvU13bdMmph3qdjjjjDNs+0Xfvn0NnhkZGYYN9Ofv9tPbrxn777qLAcS05fhfSkoKDxw40JBFRDxq1CgGwLfffrvBa9UNNzAAfvDBB3n69OlGm5fRTW9bU6dOjdGP772XZ8+e7VpPAPyHP/yBX3zxRQbAx4tnZv598sknPG7cOAbAX1x+OTMzV1dX89ChQ422aPfLyspiALx69WpmZv754MEMgOfPn88LFy7k3NzchOdp1V5/N3p0TJvLyMhgIuKGhoaE583MfP3w4Y5t1Ny+m5qa+P9++lMGwEVFRQl21KHbo39+Pqemphr/j7dvamoqjxo1io8UffiYY46xbJcxbbRDh4Qxmoj4//7v/7hH27ZGXlpaGh9++OGx/cbENxqNclZWVoxNU1JSeOzYsdzU1MRpKSmO9tbbg5lvZWUlA+Bbbrklpl3o76SxY8cyAM7Kykrgp4+RN4g2DoDvu+++mLovWrTItrwVr1deeSWh7h9++KFtv8nOzmYAPG7YMAbAV199dcx7K/6dtm7dOoPvc889Z0mr65KVlpYwXultdv9dd9k+b2bm244+mgEUs40/QeyyWI6ILgRwOjNfI/7/SwBHMvONJppPADzMzHPF/78EcDszF8fxuhZaxAYABgNY7ihcwQ8KALicP63gEcqm4UDZNRwouyYfyqbhwItdezGz5e2RaRKFySIt3vuRoQEzvwTgJQAgomJm9n7BkYIjlF2TD2XTcKDsGg6UXZMPZdNwkCy7yiz23QbAfJ51dwDxS55laBQUFBQUFBQUkgoZR2YhgJ8QUR8iygDwcwBxt3jhIwBXiN1LowFUMrP9RnUFBQUFBQUFhSTAdWqJmRuJ6EYAXwBIBfAqM68goutF/gsAPgNwJoD1APYDuEpCtvwpWwpeoOyafCibhgNl13Cg7Jp8KJuGg6TY1XWxr4KCgoKCgoJCS0XLPNlXQUFBQUFBQUECypFRUFBQUFBQaLVoFkfG7coDBe8goleJaCcRqbN5kgQi6kFEXxPRKiJaQUS3NLdOBwOIKIuIFhDREmHX+5pbp4MFRJRKRN+Js70UkgAi2kxEy4joeyIqdi+hIAMiak9E04hotRhjnW+GdOL1Y6+REVcerAVwCrRt2wuhnQq88kdV5CADER0LoBrAG8w8uLn1ORhAREXQTqheTERtACwCcJ5qq8FA2g1+ucxcTUTpAOYCuIWZ5zWzaq0eRPR7ACMAtGVm+UuyFGxBRJsBjGBmdSBeEkFEkwDMYeZXxI7oHGbe64dXc0RkRgFYz8wbmbkBwNsAzm0GPQ4qMPNsAM4XcCh4AjPvYObF4u8qAKsAdHMupeAGcep4tfhvuvipXQcBQUTdAZwF4JXm1kVBwQlE1BbAsQAmAgAzN/h1YoDmcWS6ATDfdLcN6uWg0MJBRL0BDAUwv5lVOSggpkC+B7ATwExmVnYNjqcA3AYg6kKn4A0MYAYRLRLX7CgER18AuwC8JqZCXyGiXL/MmsORkbrOQEGhpYCI8gC8C+BWZra+KlvBE5i5iZmPgHYK+CgiUtOhAUBEYwHsZOZFza3LQYifMfMwAGcAuEFM4ysEQxqAYQD+wcxDAdQA8L1etjkcGXWdgUKrgVjD8S6At5j5vebW52CDCCfPAnB682rS6vEzAOeI9RxvAziRiN5sXpUODjBzifh3J4D3oS2PUAiGbQC2mSKx06A5Nr7QHI6MzJUHCgrNDrEodSKAVcz8RHPrc7CAiAqJqL34OxvAyQBWN6tSrRzMfCczd2fm3tDG1K+Y+fJmVqvVg4hyxUJ/iKmPUwGonaEBwcylAH4gov4i6SQAvjdRyNx+nVTYXXnwY+txsIGIpgA4HkABEW0DcC8zT2xerVo9fgbglwCWifUcAHAXM3/WfCodFCgCMEnsYEwBMJWZ1XZhhZaIzgDe175pkAZgMjN/3rwqHTS4CcBbIqCxEXJXG1lCXVGgoKCgoKCg0GqhTvZVUFBQUFBQaLVQjoyCgoKCgoJCq4VyZBQUFBQUFBRaLZQjo6CgoKCgoNBqoRwZBQUFBQUFhVYL5cgoKPyPgojyxY2+3xNRKRFtF39XE9HfQ5J5KxFdEQZvPxA3Gxc45L9NRD/5MXVSUFDwBrX9WkFBAUQ0AUA1Mz8Woow0AIsBDGPmxrDkeIHbzcZEdByAy5l53I+qmIKCgjRUREZBQSEGRHQ8EX0i/p5ARJOIaIaIXpxPRI8S0TIi+lxc4QAiGk5E/xEX631BREUWrE8EsFh3YojoZiJaSURLiehtkZZLRK8S0UJxmdy5Ij2ViB4TcpcS0U0i/SRBt0yUyxTpm4noPiJaLPJ+KtLzRV2+I6IXIe5+E3I/JaIlRLSciC4ROs8BcLJwwhQUFFoglCOjoKDghkMAnAXgXABvAviamQ8DUAvgLOHMPAvgQmYeDuBVAA9a8PkZAPOlhncAGMrMhwO4XqTdDe14/ZEATgDwN3E0/LUA+pjo3yKiLACvA7hE6JMG4Dcm/rvFZX//APAHkXYvgLniorqPAPQU6acDKGHmIcw8GMDnAMDMUQDrAQzxYjAFBYUfD8qRUVBQcMN0Zo4AWAbtWhH9iPZlAHoD6A9gMICZ4iqHP0G7DDYeRQB2mf6/FJpDcjkAfarpVAB3CD6zAGRBczZOBvCCHs1h5gohdxMzrxVlJwEw30ysX/K5SOgJkf+m4PEpgD2mupxMRI8Q0RhmrjTx2Qmgq6VlFBQUmh0qXKqgoOCGekCLThBRhA8srItCG0MIwApmPsqFTy00x0THWdAci3MA3ENEgwSvC5h5jbmguMAzfkEfyegNoAmxY13CwkBmXktEwwGcCeAhIprBzH8R2VlCdwUFhRYIFZFRUFAIijUAConoKAAgonThlMRjFYBDBU0KgB7M/DWA2wC0B5AH7TLZm4TjAiIaKsrOAHC9vlaFiDpCuzG7NxEdKmh+CeA/LrrOBnCZ4HEGgA7i764A9jPzmwAeAzDMVKYfAHWxrYJCC4VyZBQUFAKBmRsAXAjgESJaAuB7AEdbkE7HgamfVABvEtEyAN8BeJKZ9wK4H0A6gKVEtFz8HwBeAbBVpC8B8AtmroN2Y+47gk8UwAsu6t4H4FgiWgxtGmurSD8MwAIxpXU3gAcAgIg6A6hl5h1y1lBQUPixobZfKygo/GggovcB3MbM65pbFxkQ0e8A7GPmic2ti4KCgjVUREZBQeHHxB3QFv22FuyFtohYQUGhhUJFZBQUFBQUFBRaLVRERkFBQUFBQaHVQjkyCgoKCgoKCq0WypFRUFBQUFBQaLVQjoyCgoKCgoJCq4VyZBQUFBQUFBRaLf4fbppwmJUciTUAAAAASUVORK5CYII=\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distance = 5\n", "peaks = signal.find_peaks( nov, distance=distance)[0]\n", "title='Scipy peak picking (distance=%2.0f samples, Fs=%3.0f)'%(distance, Fs_nov)\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "\n", "distance = 15\n", "peaks = signal.find_peaks( nov, distance=distance)[0]\n", "title='Scipy peak picking (distance=%2.0f samples, Fs=%3.0f)'%(distance, Fs_nov)\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: LibROSA\n", "\n", "The Python library LibROSA also provides a [peak-picking function `librosa.util.peak_pick`](https://librosa.org/doc/latest/generated/librosa.util.peak_pick.html) with many tunable parameters. Given a signal `x`, it picks a sample `n` as a peak position if the following three conditions are fulfilled:\n", "\n", "* The sample is maximal in a local neighborhood:
\n", " `x[n] == max(x[n - pre_max:n + post_max])`\n", "* The sample is substantially larger than the neighborhood's mean:
\n", " `x[n] >= mean(x[n - pre_avg:n + post_avg]) + delta`\n", "* There is a minimal distance between two peak positions:
\n", " `n - previous_n > wait` (where `previous_n` is the peak position preceding `n`)\n", "\n", "The distance conditions is implemented in a greedy fashion. The interplay of the various conditions (in combination with the greedy implementation) may lead to surprising result, where prominent peaks may be rejected. Such a situation is illustrated by the example given in the following code cell:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:19.282334Z", "iopub.status.busy": "2024-02-15T08:48:19.282149Z", "iopub.status.idle": "2024-02-15T08:48:19.463153Z", "shell.execute_reply": "2024-02-15T08:48:19.462590Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wait = 5\n", "peaks = librosa.util.peak_pick(nov, pre_max=5, post_max=5, pre_avg=5, post_avg=5, \n", " delta=0.01, wait=wait)\n", "title='LibROSA peak picking (wait=%2.0f)'%distance\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "\n", "\n", "\n", "wait = 10\n", "peaks = librosa.util.peak_pick(nov, pre_max=5, post_max=5, pre_avg=5, post_avg=5, \n", " delta=0.01, wait=wait)\n", "title='LibROSA peak picking (wait=%2.0f)'%wait\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: Boeck\n", "\n", "The next peak-picking approach was introduced by Böck, Krebs, and Schedl in their paper on [Online Capabilities of Onset Detection Methods](https://zenodo.org/record/1416036#.Xs0ImToza9I). In the following code cell, we call a reimplementation of this method. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:19.465988Z", "iopub.status.busy": "2024-02-15T08:48:19.465814Z", "iopub.status.idle": "2024-02-15T08:48:19.561689Z", "shell.execute_reply": "2024-02-15T08:48:19.561067Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "peaks = libfmp.c6.peak_picking_boeck(nov, threshold=0.01, fps=1, \n", " include_scores=False, combine=0,\n", " pre_avg=0.1*Fs_nov, post_avg=0.1*Fs_nov, pre_max=0.1*Fs_nov, post_max=0.1*Fs_nov)\n", "title='Boeck peak picking'\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Peak Picking: Roeder\n", "\n", "Finally, we introduce a peak picking strategy originally implemented by Tido Röder. We call the function with its default settings (which are used when setting the parameters to `None`). For details we refer to the documentation in the function header. Finally, we call the function with the same parameters, this time applied to a smoothed version of the input signal. This examples demonstrates again that a simple pre-processing of the input signal can make the peak-picking process much easier (however, with the risk of losing relevant peaks, e.g, due to over-smoothing). " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:19.564686Z", "iopub.status.busy": "2024-02-15T08:48:19.564509Z", "iopub.status.idle": "2024-02-15T08:48:19.776051Z", "shell.execute_reply": "2024-02-15T08:48:19.775506Z" } }, "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": [ "peaks = libfmp.c6.peak_picking_roeder(nov, direction=None, abs_thresh=None, \n", " rel_thresh=None, descent_thresh=None, \n", " tmin=None, tmax=None)\n", "title='Roeder peak picking'\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "\n", "nov_smooth = filters.gaussian_filter1d(nov, sigma=2)\n", "peaks = libfmp.c6.peak_picking_roeder(nov_smooth, direction=None, abs_thresh=None, \n", " rel_thresh=None, descent_thresh=None, \n", " tmin=None, tmax=None)\n", "title='Roeder peak picking (applied to a smoothed input signal)'\n", "plot_function_peak_positions(nov, Fs_nov, peaks, title)\n", "t = np.arange(nov.shape[0]) / Fs_nov \n", "plt.plot(t, nov_smooth, color='magenta', linewidth=2);\n", "plt.legend(['Novelty function', 'Smoothed novelty'], \n", " loc='upper right', framealpha=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "In this notebook, we reviewed some strategies that are often applied in peak picking. Furthermore, we introduced some existing implementations that have been used in music processing tasks. We want to re-emphasize that peak picking typically exploits some heuristic which suitability depends on the intended application and data statistics. Often, peak picking strategy are based on (locally adapted) thresholds and distances, which are enforced in a greedy fashion. In the context of beat tracking, we will study peak [picking strategy that is globally optimized using dynamic programming](../C6/C6S3_BeatTracking.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Angel Villar-Corrales.\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": { "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": 2 }