{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C5\"\n", "

Experiments: Beatles Collection

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

\n", "Following Section 5.2.4 of [Müller, FMP, Springer 2015], we conduct in this notebook some experiments using examples from the Beatles collection. For an introduction to the Beatles collection and more comprehensive experiments, we refer to the following literature:\n", "\n", "

\n", " \n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Beatles Collection\n", "\n", "Chord recognition as considered in Chapter 5 of [Müller, FMP, Springer 2015] has always been and still is one of the central tasks in the field of music information retrieval (MIR). Besides chords being a central concept in particular for Western music, another reason for the topic's popularity (already at an early stage of MIR) is the availability of a dataset known as the **Beatles Collection**. This dataset is based on twelve Beatles albums comprising $180$ audio tracks in total. While being a well-defined, medium-sized collection of musical relevance, the main value of the dataset lies in the availability of high-quality **reference annotations** for chords, beats, key changes and music structures. These annotations are freely available for research purposes. As a result, the Beatles collection has been used widely as benchmark dataset for a multitude of MIR tasks including [chord recognition](../C5/C5.html), [beat tracking](../C6/C6.html), and [music structure analysis](../C4/C4.html). A list of all songs as well as links to all reference annotations can be found at the Isophonics Website. \n", "\n", "The original chord annotations, which were supplied by Christopher Harte, go beyond the $24$ chord types we consider in our [basic chord recognition scenario](../C5/C5S2_ChordRec_Templates.html). A detailed description of the chord syntax, transcription process, and verification process for the Beatles collection can found in [Christopher Harte's PhD thesis (2010)](http://isophonics.net/content/reference-annotations-beatles). In our [chord recognition scenario](../C5/C5S2_ChordRec_Templates.html), the reference annotations are reduced to $24$ chord labels corresponding to the major an minor triads. In this reduction, we consider only the first two intervals of each chord in root position, where augmented chords are mapped to major chords and diminished chords to minor chords. In the case that no meaningful reduction is possible or that no meaningful chord information exists, the non-chord label $\\mathbf{N}$ is used. \n", "\n", "In the following code cell, we show for the beginning of the Beatles song \"Let It Be\" the reference chord annotations as originally specified by Harte as well as the annotations after the reduction process." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:56:24.340543Z", "iopub.status.busy": "2024-02-15T08:56:24.340255Z", "iopub.status.idle": "2024-02-15T08:56:26.808335Z", "shell.execute_reply": "2024-02-15T08:56:26.807318Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import os\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import librosa\n", "\n", "import sys\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c3\n", "import libfmp.c4\n", "import libfmp.c5\n", "%matplotlib inline\n", "\n", "# Read annotation files\n", "fn_ann_orig = os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_LetItBe_Beatles_1970-LetItBe-06_Chords.csv')\n", "fn_ann = os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_LetItBe_Beatles_1970-LetItBe-06_Chords_simplified.csv')\n", "ann_orig, _ = libfmp.c4.read_structure_annotation(fn_ann_orig)\n", "ann, _ = libfmp.c4.read_structure_annotation(fn_ann)\n", "\n", "# Plot chord annotations\n", "color_ann = {'N': 'white', \n", " 'C': 'red', 'C#': 'peru', 'D': 'orange', 'D#': 'yellow', 'Eb': 'yellow', \n", " 'E': 'springgreen', 'F': 'cyan', 'F#': 'coral', 'G': 'blue', \n", " 'G#': 'olive', 'A': 'teal', 'A#': 'indigo', 'Bb': 'indigo', 'B': 'pink',\n", " 'C#:min': 'steelblue', 'C#m': 'steelblue', 'A:min': 'greenyellow', 'A:m': 'greenyellow',\n", " 'G:min': 'olive', 'E:min': 'lightcoral', 'B:min': 'saddlebrown'}\n", "chord_labels = libfmp.c5.get_chord_labels(ext_minor='m', nonchord=False)\n", "\n", "libfmp.b.plot_segments(ann_orig[:7], figsize=(12, 1.2), time_label='Time (seconds)', \n", " fontsize=9, colors=color_ann, alpha=0.5)\n", "plt.title('Reference annotations with original chord labels')\n", "plt.show()\n", "libfmp.b.plot_segments(ann[:7], figsize=(12, 1.2), time_label='Time (seconds)', \n", " fontsize=9, colors=color_ann, alpha=0.5)\n", "plt.title('Reference annotations with reduced chord labels')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Song Selection\n", "\n", "As said above, the Beatles collection with its annotations has triggered a lot of research efforts for various MIR tasks. In particular, the Beatles dataset (or extended collections such as the [Isophonics dataset](http://isophonics.net/content/reference-annotations)) have been extensively used for training, testing, and comparing automated chord recognition approaches. However, due to its massive usage, there is not much room for improving chord recognition results on the Beatles dataset without the imminent danger of **overfitting**. Still, the Beatles collection is an excellent testbed for developing, testing, and exploring the potential and limitation of algorithmic approaches. Inspired by the article by [Cho and Bello](https://ieeexplore.ieee.org/document/6691936), we conduct in the following some experiments on the role and interdependencies of chord recognition components. However, using the entire collection of 180 Beatles songs is beyond the scope of the FMP notebooks. Instead, to illustrate the nature of such experiments, we just use four representative Beatles songs of comparatively short duration. Also, these songs have only short non-musical passages (e.g., silence or applause) at the beginning and end.\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
IDShort NameSong TitleAudio
0LeItBLet It Be\n", " \n", "
1HereCoHere Comes The Sun\n", " \n", "
2ObLaDiOb-La-Di, Ob-La-Da\n", " \n", "
3PennyLPenny Lane\n", " \n", "
\n", "\n", "In the following code cell, we define a dictionary that specifies the audio and annotation files for the four songs. Furthermore, we show the beginning of each of the songs' reference chord annotations in its original form (Harte) and its reduced form (with only $24$ major and minor triads)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:56:26.811436Z", "iopub.status.busy": "2024-02-15T08:56:26.811109Z", "iopub.status.idle": "2024-02-15T08:56:28.387788Z", "shell.execute_reply": "2024-02-15T08:56:28.387274Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "directory = os.path.join('..', 'data', 'C5')\n", "\n", "song_dict = {}\n", "song_dict[0] = ['LetItB', 'r',\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_LetItBe_Beatles_1970-LetItBe-06.wav'),\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_LetItBe_Beatles_1970-LetItBe-06_Chords_simplified.csv')]\n", "song_dict[1] = ['HereCo', 'b',\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_HereComesTheSun_Beatles_1969-AbbeyRoad-07.wav'),\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_HereComesTheSun_Beatles_1969-AbbeyRoad-07_Chords_simplified.csv')]\n", "song_dict[2] = ['ObLaDi', 'c',\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_ObLaDiObLaDa_Beatles_1968-TheBeatlesTheWhiteAlbumDisc1-04.wav'),\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_ObLaDiObLaDa_Beatles_1968-TheBeatlesTheWhiteAlbumDisc1-04_Chords_simplified.csv')]\n", "song_dict[3] = ['PennyL', 'g',\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_PennyLane_Beatles_1967-MagicalMysteryTour-09.wav'),\n", " os.path.join('..', 'data', 'C5', 'FMP_C5_Audio_Beatles_PennyLane_Beatles_1967-MagicalMysteryTour-09_Chords_simplified.csv')]\n", "\n", "chord_labels = libfmp.c5.get_chord_labels(ext_minor='m', nonchord=False)\n", "song_selected = [0, 1, 2, 3]\n", "\n", "for s in song_selected:\n", " song_id = song_dict[s][0]\n", " fn_ann = song_dict[s][3]\n", " fn_ann_orig = fn_ann.replace('_simplified','')\n", "\n", " ann_orig, _ = libfmp.c4.read_structure_annotation(fn_ann_orig)\n", " ann, _ = libfmp.c4.read_structure_annotation(fn_ann)\n", "\n", " libfmp.b.plot_segments(ann_orig[:30], figsize=(12, 1), \n", " fontsize=9, colors=color_ann, alpha=0.5)\n", " plt.title('Song: %s' % song_id)\n", " plt.show()\n", " libfmp.b.plot_segments(ann[:30], figsize=(12, 1.2), time_label='Time (seconds)', \n", " fontsize=9, colors=color_ann, alpha=0.5)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Feature Extraction\n", "\n", "As we detailed in the [FMP notebook on template-based chord recognition](../C5/C5S2_ChordRec_Templates.html), the first step of traditional chord recognition approaches is to convert the audio recording into a sequence of [chroma-based audio features](../C3/C3S1_SpecLogFreq-Chromagram.html). These features can often be further processed, for example, by applying suitable [smoothing filters](../C3/C3S1_FeatureSmoothing.html) to even out temporal outliers or by applying [logarithmic compression](../C3/C3S1_LogCompression.html) to enhance small, yet perceptually relevant spectral components. The chroma type used may have a strong influence on the chord recognition results, as has been demonstrated by [Jiang et al.](https://secure.aes.org/forum/pubs/conferences/?elib=15943) We illustrate this fact by considering three different chroma types provided by `librosa`:\n", "\n", "* STFT-based chroma features (`librosa.feature.chroma_stft`) with small logarithmic compression. \n", "* CQT-based chroma features (`librosa.feature.chroma_cqt`).\n", "* IIR-based chroma features (`librosa.iirt` + chroma binning) with logarithmic compression.\n", "\n", "The audio recording is sampled at a rate of $F_\\mathrm{s}=22050~\\mathrm{Hz}$. For the [STFT computation](../C2/C2_STFT-Basic.html), we use a window size of $N=2048$ samples (corresponding to $92.9~\\mathrm{ms}$) and a hop size of $H=1024$ samples (corresponding to $46.4~\\mathrm{ms}$). This leads to a feature rate of $21.5~\\mathrm{Hz}$. Furthermore, to compute the IIR-based time–frequency representation, we use the same parameters $N$ and $H$. Finally, as for the CQT, we use the same hop size $H=1024$ yielding a chroma representation of the same feature rate. All chroma features are normalized with respect to the [Euclidean norm](../C3/C3S1_FeatureNormalization.html). In the following code cell, we compute the three chroma representations for all selected songs and store them in dictionaries used for the subsequent experiments. Furthermore, as described in the [FMP notebook on chord recognition evaluation](../C5/C5S2_ChordRec_Eval.html), we convert the chord annotations into frame-level label sequences to match the chroma sequences." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:56:28.390489Z", "iopub.status.busy": "2024-02-15T08:56:28.390305Z", "iopub.status.idle": "2024-02-15T08:57:21.988068Z", "shell.execute_reply": "2024-02-15T08:57:21.987367Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "===== Computation of STFT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Computation of CQT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Computation of IIR-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n" ] } ], "source": [ "def compute_X_dict(song_selected, version='STFT', details=True):\n", " X_dict = {}\n", " Fs_X_dict = {}\n", " ann_dict = {}\n", " x_dur_dict = {}\n", " chord_labels = libfmp.c5.get_chord_labels(ext_minor='m', nonchord=False)\n", " for s in song_selected:\n", " if details is True:\n", " print('Processing: ', song_dict[s][0])\n", " fn_wav = song_dict[s][2]\n", " fn_ann = song_dict[s][3]\n", " N = 2048\n", " H = 1024\n", " if version == 'STFT':\n", " X, Fs_X, x, Fs, x_dur = \\\n", " libfmp.c5.compute_chromagram_from_filename(fn_wav, N=N, H=H, gamma=0.1, version='STFT')\n", " if version == 'CQT':\n", " X, Fs_X, x, Fs, x_dur = \\\n", " libfmp.c5.compute_chromagram_from_filename(fn_wav, H=H, version='CQT')\n", " if version == 'IIR':\n", " X, Fs_X, x, Fs, x_dur = \\\n", " libfmp.c5.compute_chromagram_from_filename(fn_wav, N=N, H=H, gamma=10, version='IIR')\n", " X_dict[s] = X\n", " Fs_X_dict[s] = Fs_X\n", " x_dur_dict[s] = x_dur\n", " N_X = X.shape[1]\n", " ann_dict[s] = libfmp.c5.convert_chord_ann_matrix(fn_ann, chord_labels, Fs=Fs_X, N=N_X, last=False)\n", " return X_dict, Fs_X_dict, ann_dict, x_dur_dict, chord_labels\n", " \n", "song_selected = [0, 1, 2, 3]\n", "#song_selected = [0]\n", "print('===== Computation of STFT-based chromagrams =====')\n", "X_dict_STFT, Fs_X_dict_STFT, ann_dict_STFT, x_dur_dict, chord_labels = compute_X_dict(song_selected, version='STFT')\n", "print('===== Computation of CQT-based chromagrams =====')\n", "X_dict_CQT, Fs_X_dict_CQT, ann_dict_CQT, x_dur_dict, chord_labels = compute_X_dict(song_selected, version='CQT')\n", "print('===== Computation of IIR-based chromagrams =====')\n", "X_dict_IIR, Fs_X_dict_IIR, ann_dict_IIR, x_dur_dict, chord_labels = compute_X_dict(song_selected, version='IIR')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we show the first fifteen seconds of all three chromagram variants for each of the four songs." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:21.991459Z", "iopub.status.busy": "2024-02-15T08:57:21.991222Z", "iopub.status.idle": "2024-02-15T08:57:23.457682Z", "shell.execute_reply": "2024-02-15T08:57:23.456967Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cmap = 'gray_r'\n", "for s in song_selected:\n", " fig, ax = plt.subplots(1, 3, gridspec_kw={'width_ratios': [1, 1, 1], \n", " 'height_ratios': [2]}, figsize=(10, 2.5))\n", " title = '%s, STFT (%0.1f Hz)' % (song_dict[s][0], Fs_X_dict_STFT[s])\n", " libfmp.b.plot_chromagram(X_dict_STFT[s], Fs=Fs_X_dict_CQT[s], ax=[ax[0]], \n", " chroma_yticks=[0, 4, 7, 11], clim=[0, 1], cmap=cmap,\n", " title=title, ylabel='Chroma', colorbar=True, xlim=[0, 15])\n", " \n", " title = '%s, CQT (%0.1f Hz)' % (song_dict[s][0], Fs_X_dict_CQT[s])\n", " libfmp.b.plot_chromagram(X_dict_CQT[s], Fs=Fs_X_dict_CQT[s], ax=[ax[1]], \n", " chroma_yticks=[0, 4, 7, 11], clim=[0, 1], cmap=cmap,\n", " title=title, ylabel='Chroma', colorbar=True, xlim=[0, 15]) \n", "\n", " title = '%s, IIR (%0.1f Hz)' % (song_dict[s][0], Fs_X_dict_IIR[s])\n", " libfmp.b.plot_chromagram(X_dict_IIR[s], Fs=Fs_X_dict_IIR[s], ax=[ax[2]], \n", " chroma_yticks=[0, 4, 7, 11], clim=[0, 1], cmap=cmap,\n", " title=title, ylabel='Chroma', colorbar=True, xlim=[0, 15]) \n", " plt.tight_layout() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is worth taking a closer look at the visualizations of the chromagrams. While the STFT-, CQT-, and IIR-based chromagrams for the song \"Let It Be\" show similar energy distributions over the chroma bands, the chromagrams of the other songs show considerable differences. In particular, the song \"Penny Lane\" shows a rather homogeneous **STFT-based chromagram** (with a noticeable $\\mathrm{F}$ chroma band), while its **CQT-based chromagram** (and to some extent also the **IIR-based chromagram**) exhibits dominant patterns leading downwards. Based on the same audio material, this different nature of the chromagrams is surprising at first sight. When listening to the song, it turns out that there is a strong bassline in the low-frequency range played by the bass guitar. Based on the [**linear frequency resolution of the STFT**](../C3/C3S1_SpecLogFreq-Chromagram.html), this low-frequency information is not captured with the necessary frequency resolution by the STFT. As a result, this information is lost (smeared across different pitch bands) when applying the [logarithmic binning](../C3/C3S1_SpecLogFreq-Chromagram.html) to derive the chromagram. In contrast, the CQT uses a frequency-dependent window size to decompose the signal into a time–frequency representation with **logarithmic frequency resolution**. As a result, the bassline's low-frequency notes are captured at a much higher spectral resolution compared to the STFT approach, thus clearly showing up in the CQT-based chromagram. In the subsequent experiments, we show how the three chroma-based representations (`STFT`, `CQT`, `IIR`) behave in the context of our chord recognition scenario." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chord Recognition Procedures\n", "\n", "Based on the thre chromagram representations, we apply two different pattern matching techniques to map the chroma features to chord labels that correspond to the $24$ major and minor triads: \n", "\n", "* [Template-based chord recognition](../C5/C5S2_ChordRec_Templates.html).\n", "* [HMM-based chord recognition](../C5/C5S3_ChordRec_HMM.html).\n", "\n", "In the following code cell, we show some chord recognition results using **time–chord visualizations** as introduced in the [FMP notebook on chord recognition evaluation](../C5/C5S2_ChordRec_Eval.html). We first have a look at the song \"Let It Be\" considering the six combinations of the three different input chromagrams (`STFT`, `CQT`, `IIR`) and the two chord recognition procedures (`Template`, `HMM`). " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:23.460791Z", "iopub.status.busy": "2024-02-15T08:57:23.460603Z", "iopub.status.idle": "2024-02-15T08:57:25.857999Z", "shell.execute_reply": "2024-02-15T08:57:25.857428Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/zal/dev/Python_FMP_notebooks/FMP/C5/../libfmp/c5/c5s2_chord_rec_template.py:337: MatplotlibDeprecationWarning: The 'cmap' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", " cbar = plt.colorbar(im, cmap=eval_cmap, norm=eval_norm, boundaries=eval_bounds, ticks=eval_ticks)\n", "/Users/zal/dev/Python_FMP_notebooks/FMP/C5/../libfmp/c5/c5s2_chord_rec_template.py:337: MatplotlibDeprecationWarning: The 'norm' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", " cbar = plt.colorbar(im, cmap=eval_cmap, norm=eval_norm, boundaries=eval_bounds, ticks=eval_ticks)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwAAAAEYCAYAAADrm5FRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAABDaUlEQVR4nO3de5wcZZn3/89XRMkSBRUEFDBoMCIgwQQWVwWCihoyCCouiIK7oo+urOIaFfckuorogvDzyCL6AMqKeUQ0QUVUMhwUV2YwECPCDhBWFgQ5BQbCweT6/XFXT2p6+lDd0z19+r5fr35Ndx3uuqqu6pq6u+6qWxGBmZmZmZkNhid1OgAzMzMzM5s5rgCYmZmZmQ0QVwDMzMzMzAaIKwBmZmZmZgPEFQAzMzMzswHiCoCZmZmZ2QBxBcAGjqQDJW2UNC7pdZ2Op9MkXSbpUUlX1ZjmqZJ+J2n7mYzNzMyKkbSdpBskPbXTsVj3cwWgD0h6haRfSlon6T5Jv5C0TxfEFZLmNjjPgZJuLxt2kqRvVSu37IR+XNL/SvpEnUXdERGzI+KSXDk7SPq6pDslPSTp95I+IWnLbLwkfVjSf0taL+l/JJ0s6SnZ+B/nYnhC0uO5z2cWWPd3VDoJl7RW0qtz04Skz5dNc1g2/Jzs85zs87Vl022TxbW2NCwiDgLeUye8dwNXRMQf661nWT4eknSjpL+pt/7VSDo2W5fjyoZ/UNIfs/3+G+X/9CQdmf0zfFjSzZJemRv3qiy/j0haKel5DcQTWZmldX4gG96S9ZZ0VjbvRknvKBu3h6SfSLpH0pROXLK8/0jS/dm2+ZKkJ8/AeoekL5dNf1V5/AWWsYOk5ZLuyMqcUzb+LUrHukckDZeNe6GkH0j6k9Jx8CeS5pVN83xJF2f5uUfS5wrG1arczpc0msU/Kml+jWnX5Lb1uKQ/S1qRjXtl2bjxbHu9KRv/DkkbysYfOJPrmpU1J9vPHsn2u1fXmPbHZfE+Lml1bvx8SVdm3/fbJf1rbtwiSaslPSDpXkkXSXpuAzFG2bKva2Jd3yrptuw78n1Jz6wy3c5VcvehbPw/lo1bn+Vjm2z8c7P9/L5sO0wcuyPiLmAl6XhtVpMrAD1O0tOBi4EvAs8Engt8Anisk3F1QOmEfjbwCuCdkg4rOnN2sL4amAW8LCKeBrwG2Bp4QTbZF0gH1mOApwGvB14NXAAQEa/PxXA+8LnS54iod4LdiJuBv1buxC6L6aYK024paY/c57cCtzaxzP8DfBMKr+cd2finAx8FvibpxY0uVNIzgI8Ba8qGvxY4EXgVMAd4Pmm/L41/DfBZ4G9IudofuCUbtw3wPeBfSN+ZEeA7DYa2V26dt84Nb8V6Xwf8HXBthXFPAMuAd1aZ9yvA3cAOwHzggKysdq/3w8Ax5SfsTdgIXAK8qcr4+4AzgFMqjNsaWA7MA7YDfg38oDRSqaL+U+AyYHtgR+BbU0qpblq5zZb/g2yZzwDOBX6QDZ8iInbPfc+eBvwP8P+ycVfm8jAbWAKMk7ZdydX5aSJiuMl1/WC2rvPqzFPJt4HfAM8C/gn4rqRtK02YP65ky/4l2fpm/hO4grTvHgC8V9Kh2bjfAa/N9snnAP8NfLXBWLfOLX+vRmaUtDvwH8DbSfveI6Tv4hQR8T9l67knab+/MBt/ctn4zwLDEXFPVsS3SMfw7YBDgJMlLcot4nzS8dqsJlcAet8LASLi2xGxISLWR8SlEXE9gKQnSfrn7JeJuyWdJ2mrbFzpl49jlX7NvkfSP5UKljRL0rlKvybeIOkjKvt1vhlKzUlOzZZ5l9KvxrOUfmn/MfCc3K8fzymb94rs7XXZ+L8uLz8ibiX982jkxOsfgIeAt0XE2qycP0TEByLiekm7kk6kjo6IqyPizxGxhnSicoikAwqu+wOSXtFAXJX8EVgNvDYr85nAX5FOfsp9Ezg29/kY4LxGFiZpZ1Il6L8aDTSS7wP301g+Sj5DqnjdUzb8WODrEbEmIu4H/g14R278J4BPRsSvImJjRPxvRPxvNu6NwJqI+H8R8ShwErCXpBc1EV9F01nviPhyRPwceLTCuBsj4uuUVYhydgGWRcSjEfFH0gnh7tm4dq73A8A5wMenU0hE3BURXwGuqTL+ZxGxDLijwrhfR8TXI+K+iHgCOB2YJ+lZ2STvIJ3Yfj4iHs620fVNxNhsbg8EngycERGPRcQXAAEHFZh3f+DZZCeJFRwLfDciHm4gnrqydf0RqeL1kkbmlfRC4KXAx7P/SxeSjlvVKnf5eecAryT70SEzBzg/+z93M3AV2b6d7Tf5fWID0NDV52k6GlgREVdExDipkv1GSU8rMO8xpKura8tHSBKpUnFu9nk2aT/6dEQ8ERHXAd8F/jY3238Bz1cDV/dsMLkC0PtuAjZkJ+qvz34xzXtH9lpE+pV0NvClsmleQfrV7FXAv0raLRv+cTb9uvoa4G35mSR9RVLFXznq+Cyp4jKfdJB+LvCv2T+v15P7Nb/soE5E7J+9Lf0SOeUXzOxk/eXArxqI6dXA9yJiY5XxrwJuj4hfl8Xzh2w5BxdZSERsHRFV29o34DzSPw6AI0m/LFa66vMt4EhJm2V5fRqNn8jvCdwSEX9uNMisAno46dfZ1dmwB2q8TszNuy+wEKjUfGp30i/lJdcB20l6lqTNsvm2lTSWXSb/kqRZlebN9rub2XSiPG3TWe9p+v9I+f4LpSYQr2fTr8LtXu9PA2+q9EuxUjPFWus/3UpxJfsDf4yIe7PP+wFrlZqa3CNpWNKejRY6jdzuDlwfEfmmW9dTbPtXPcGX9BfAm8lOEnP2ztbzJkn/oslXDAvJ1vVQYBtgLDf8+hrrW/qfsDvpuPFQrsjrKLa+xwBXZj/mlJxBusq0ebaPvQz4WS6mnZWapa0HlgKFmnfV0sB+W/7duhl4nOwHujqOYWruSl5J+qW/VPFT2d/S+4mrvNlxegxo6CqGDZ6GDwjWXSLiwewg9FHga8D2kn4EvCtSe8Cjgc9HRKn5w8eA32pym85PRMR60q/q15EOHDcAbwHem/3Cer+kL5B+NSwt++8ajTf7ReNdwEsi4r5s2Mmky7sfa7S8nOdkB/8nkU5yLyL9QlTUs4A7a4zfpsb4O4GKl7WbsF+2HnlPrzDdRcDpSldzjgE+RDrZK3c7cCOpgrOIBn/9z2xNujrSiFI+NpKaLrw9Im6EVAmqN3N2Ev8V4O8jYmPabSaZDazLfS69fxrwVGBz0knRK0nNZn4A/DOpGcJs4E9l5a3L5i3qWkmlyuJ5EfH+7P201rsFLid9vx4ENiOdWHw/G9fO9SbS/SFnAp8EJl2Zyyq9WzewnGmRtCPwZdKVvZIdSd+BQ4GfAx8gNcF5UUQ8XqDY6ea2fJ+FAts/d4J/aJVJ3kS6QnZ5btgVpJPC20gnp98B/ky6olZEaV1nkc4T/iEiflMaGRFFrgZUW98ibfOPAT5VNuxi0vFrKWnf/mRETFwpioj/AbZWuiL6LuD3BZaTd0/uOPOpiDi1gf222dyWTvC/W2WSUsVvHCAiHpL0C+BfJH2YdAXqTUz9Xj9UMG4bYL4C0Aci4oaIeEdE7Eg66D+H9GsJ2fvbcpPfRjqgb5cb9sfc+0dIB7PSvH/Ijcu/b9a2wF8Ao6VfUUi/UE73BPqO7Nf1p5MOfOup/qtKJfeS2k1Xc0+N8Tsw9QDcrF9l6zHxIp1sTJJV2H5IOqndJiJ+UaPM80hXgY6isTbPJffT2EkibMrHMyNifkRc0OD8f0f6tfTqKuPHmVwxKr1/iJR7gC9GxJ2R2s5+HlhcZd7S/I1Ucl6ay9H7c8Onu95Nk/Qk4Cekdv5bkiqtzyBdcYP2rnfJZ4HXSurYr49KbcwvBb4SEd/OjVoPXBURP85O+E8lVfx3q1BMJdPNbbPb/42kJjiXVxl/LKkyNnFlISJuiYhbIzV/W02qlL25gVjvyI49Tyc1wSvSTKlcU+ub/aC1PbmT4uyk/hLSemwB7ETaz6b8CJX9sFS6v6KRHzm3ye3bpzYwHzSf22OBC0sn+HnZFcsjmPp/7GhSU78/kO5zOJ/0Q0/e00jN8syqcgWgz0TE70ltcUuXBO8A8m0Bdyb9EnRXgeLuJP1qVrJTC0K8h/SPePfcwXarSDc7AUx5skmjImId6YrCUAOz/Qw4PDuJquQyYKesWcoESTuRmhZU++fcTueRfvn/Zp3pLiTdLHZLRNxWZ9pKrie1KW3JFUNNfQJG/vWP2WSvIuXjj5L+SLrH4TRJpeZra5h8iXsv4K6IuDe7YnU71felSfMq3XvyAqq3q2+Jgus9Hc8kfUe/FKmN+b3A/2VTxaft650t8wzSPRkTVPmpNfnXKysW2CClJpCXAssj4tNlo6+nBceXKsstkts1wEs0+XLWS6i//aec4OeWuxOpTXi9K3vB5GYjhUTEY6Sry3sq91AFTX1CUf5VarK3hnTcyP94sBfF1vd7ZSfFzwc2RMR5ke6/up308IXFFUtIP3I9m8pXTwtrYL8t/249n3QlstKDGUrTVDvBLylV/IbzAyPitohYEhHbRsRfkiqxE01Ts+P0XCY3kTSbwhWAHifpRZI+lF3yLv1DOIpN7d+/DXxQ0i5KNxCdDHynYHvuZcDHJD1DqT3x8U2E+BRJW5RepH9CXyM1X3l2FvNzlZ7qAqli8qysaUs1d5H+IVSUreeRNHZi83nSP4tzld08lcX1eUkviYibSG3Rz5e0n1Kb+t1JJ9e/JNcWtRalm64PbCCuWi4n3ZvxxVoTZe2GDwKOqzVdjflvJz1VY9960xYsb3aN18nZZO8g/TI7P3uNkG7sLd2kfh7pSU8vzk76/plU8S35v8DfS3p2Nv4EUhMCSM2n9pD0pmyf/FfS1Ybfw8QjFNe2Yl2bWG8kPSX3Xdk8++48KRunbFzp0bNbKHv8aXal41bS01GeLGlr0slU6URgptb786QK28Qv61H21JoKrytz678F6eQJ4KnZ59K4zbLPTwaelK3/5tm4p5OugPwiIirdU/EtUhO7Vys1MTuB9IPEDdn85yh7jG6jCuZ2mHRz6vuVHoRQOp5eVq3c7Li+iOoniW8HfhmpzXl+vtdL2i57/yLSTan5JyIVXtfsaslppP2lNGz3Guv7nmyam4BVwMezPB1OqvBUu5E5f1JcHttNabTeqnRfwvakZmbXZfO9UdK8bNy2pH3wN7GpmelJKntsbMF1L7rfng8MZRWGLUlXKr4Xk+9/KHc46Vf6lVXGV6z4SdpN0tOy48TbSPef5R8LvS+wtskfe2yAuALQ+x4C/hL4L0kPk078f0v6ZRjgG6RfiK8gnRw8Cvx9wbI/Sfol9VbSCe53yd1oqvT0nnrPt19D+sW/9Pob0i9KY8CvJD2YlT0PJq5gfBu4RamJ0HMqlHkS6UT9AUlvyYZNPDmI1MzpmaRLpYVk/yj+itRe/L8kPURqJ7yOTTe/HQ+cTTqReIS0nW8DDovqNw9PyP6Zj5PdODhdkfy89E+uzrQj5ScJDSo94m5GRMQDEfHH0ot0Q92D2dUdIvXf8DnSP8/bslf+CTT/RnqSzE2kE7zfkG5SJSL+RGo3+2lS86a/JFUYS3YCajWpardLSd+VvwLOyt6Xbn5/Xva5VLldT7rHo+SNwOtITdLGSFf7Pggzt94R8SApNxWfg17AetL3BFI77vW5cW/PPn+VdH/HetIPCpBOqPYB/qbsV9qds7huJD3I4EzS+r8BODQ2tf9va96z5RxGat/+AOnJLYeVli/paEnlP1q8nfQ4z2rf3Wo3kL4KuD77n/AjUrOwk3PjG13XbwA7S2rkqiqk/WshaXufArw52w8nfl0vm/4w0jF30klxtk+9kbQv30+qWPyW7DtNuq/gEtL/w9Wk+zQOzxXR7tyuIfWlcj7pMbxPI3v8LlT9X1nrys5zST/aVLqy81rSI43vz5b5utI2zRxN5QcnmE2iCvueWUWS3gscGRGFHnnZrSTtT/ql8DHgryPiJ02W80nSP6z9I+KBAtO/jdT0aTo3O7ecpJ+SmjH9OiJeVWWap5JOol8VEbVulu55ki4FPhARN3Q6lpk0qOsNE8/ov470cIInOh1POw3SupZIWkU6dt1bb9pell1VvxzYO9Kjfs2qcgXAqpK0A6mpzdXArqSbTr8UEWd0Mq5ukl3GH4tcj8JmZmZm3cwVAKsqawv/Q9ITBx4g3XT1sSj2yDwzMzMz60KuAJiZmZmZDRDfBGxmZmZmNkD6tifgrbfeOubOndvpMKyNHn74YbbccstOh2Ft5jz3P+d4MDjP/a8TOV67di333HNPw/1czBRJjTS1+UlEvK5tweT0bQVgu+22Y2RkpNNhWBsNDw9z4IEHdjoMazPnuf85x4PBee5/ncjxwoULZ3R5bbbNTC2oo02AJG2QtErSdZKulfRXnYzHzMzMzKzfdfoKwPqImA+Q9QT7GaCnnzFvZmZmZtbNuukm4KeTerZD0oGSLpe0TNJNkk7Jekn8taTVkl7Q4VjNzMzMzHpSp68AzMp66NsC2IHU9XXJXsBuwH2kbq/Pjoh9JX0A+HvghPLCJL0beDfAtttuy/DwcDtjtw4bHx93jgeA89z/nOPB4Dz3P+e4d3S6ApBvAvQy4DxJe2TjromIO7NxNwOXZsNXA4sqFRYRZwFnAcybNy98s1F/8w1lg8F57n/O8WBwnvufc9w7uqYJUERcTbr7edts0GO50RtznzfS+YqLmZmZmVlP6poKgKQXAZsB93Y6FjMzMzOzftXpX9JL9wAACDg2IjZIXdufg5mZmZlZT+toBSAiNqsyfBgYzn0+sNo4MzMzMzMrru1NgCQdLimyJj7l474taY6kEyQd2e5YzMzMzMwG3UzcA3AUcBVQ6QR/l4hYS+r868oZiMXMzMzMbKC1tQIgaTbwcuCd5CoAks6X9DtgXnYPwMHADyUdl41fK+lkSVdLGpH0Ukk/kXSzpPe0M2YzMzMzs37W7nsADgMuiYibJN0n6aURcW1EHC3pLcBOwIXAv0fEEWXz/iEiXibpdOAcUkViC2ANcGalhbkjsMHiDkcGg/Pc/5zjweA89z/nuHe0uwJwFHBG9v6C7PO12ee9gZ8BewKrKsy7PPu7GpgdEQ8BD0l6VNLWEfFA+QzuCGywuMORweA89z/neDA4z/3POe4dbasASHoWcBCwh6QgPeM/JA0DnwZ2AZaQOv56WNKrIyLfw2++46/yTsE6/fhSMzMzM7Oe1M57AN4MnBcRz4uIORGxE3Ar8CCwAPhtROxJatKzd9nJv5mZmZmZtUE7f0k/CjilbNiFwFuB9cB1kp4CbB4RD7YxjqrKOxyLJUs2fVixYuYCWbECHXpoimH5chgamrllV4ihJCJavpgp27wNy2iVUqyxPGuN1om8MHmbtXP/qNQBX9vzU2VddPHFE+9PPfVUFi1a1NX7StcZGpq0DaHz37WW719DQ1WP0x3Zl2Hy/tzE/5Apx8dWfN9rbKdC2vX/qUI5HdtnCxyHSrrte9TpeAqZ7j5obdG2CkC+867csC/kPo5kf/evMN2c3PtzSDcBTxlnZmZmZmaNmYl+AOqq1VmYmZmZmZm1TldUAKjdWZiZmZmZmbVIxysAlToLk3SgpMslLZN0k6RTJB0t6deSVkt6QUeDNjMzMzPrUer0DSSS3gYsioh3SvolcDzwdOD7wG7AfcAtwNkR8XFJHwB2iYgTKpSV7whswbJly2oue3R0dNLnBVtttenD3LnNrlLj1q1jdGwsxTB3LuTj6EAMJQsWLGj5YqZs82ksY3x8nNmzZ083pKpKsS4o7QudyAuTt1k794/y3EB79oFJyva5iVjWrZt4v+OOO3L77be3P5Z+MjY2aRvCDOSyjlr7V1Pf5bGxqsfpjuzLMHl/buJ/yJTjYyu+7zW2UyEt/P80Kc8Vvvsd22cLHIdKuu171Ol4ylX8Lk93H6xj6dKljIyMTL3zv0tkj8IvajQiFrYtmJxuqAD8EDgjIn4q6f2k3oF/CPxTRLwmm+YK4GMR8QtJBwHvj4jDapU7b968uPHGG+ste9JnPwWot54C1O4OR/wUoO55CtDSpUt742kX3aLHngLU1HfZTwEqHlOXPAVoUp79FKCmdPtTgCp+l9v8FKCFCxe6AtCEjnaoVa2zMOBHTO38K98xmDsCMzMzM7OBkJ0z/zz7uD2wAfhT9nkv4DrS+fENwLER8Uit8jp9D0C1zsJe0eG4zMzMzMy6QkTcGxHzI2I+cCZweu7zw9n7PYDHgffUK6/TFYCjgIvKhpU6CzMzMzMzs+KuBOredNHRpjQ1Ogv7QrXpImIYGG7R8ltRzPQNDXU+lhmKoePr2YBuiXWm4ujI+lZpF5qPZHh4uGty0TNWrKDbtljLc1ijTXHH9pdptnNuS9zTbXvdrv8NFeLq2D5b4DjULXryWOhegBuxjaSR3OezIuKsojNLejLweuCSetO2tQIgaTvgdGA/4H7SZYnPRcRFuWmGgdcBpwAXRMSv2hmTmZmZmVkXuqfJm4BnSVqVvb8S+Hq9GdpWAVC6Vf37wLkR8dZs2POAQ3PTzAI2RMSjkvYBPtyueMzMzMzM+tD67F6Awtp5D8BBwOMRcWZpQETcFhFfBJC0ElhNegLQamBP4BpJi7Px45I+K2lU0s8k7StpWNItkg6tsDwzMzMzM6ujnU2AdgeurTYyIhZJ+ghwM3AvcEhE5K8AbAkMR8RHJV0EfAp4DfBi4FxgeXmZZR2BMTw83KJVsW40Pj7uHA8A57n/OceDwXnuf85x75ixm4AlfZn0eM/HI2KfbPDepKf+LAZWlc3yOJtuYlgNPBYRT2RXC+ZUWkZ2o8RZkDoCa2cnUdZ57e4IzLqD89z/nOPB4Dz3P+d4ZkTESWWfG+xKvb0VgDXAm0ofIuJ9krYBRiQdBxxPekzRbsDOwF2SFkfE0dksT8Sm290nOgKLiI3ZXc5mZmZmZtagdt4DcBmwhaT35ob9BUBEnA0cDFyW3bQwFhG75U7+zczMzMysDdpWAch+vT8MOEDSrZJ+TWq7/9Fskv2BqyTtBNzWrjjMzMzMzGyTtjaliYg7gSOrjPtu7uMRFcbPzr0/qdo4MzMzMzMrrp1NgOqStJ2k/8we7Tkq6WpJh3cyJjMzMzOzftaxCkCuo7ArIuL5EbGAdLVgx07FZGZmZmbW7zr5NJ2KHYUBX5T0DtL9A5sBewCnAU8B3k56GtDiiLhvpgM2MzMzM+t1nWwCVLOjMNKJ/1uBfYFPA49ExN7A1cAx7Q/PzMzMzKz/dM3z9PMdhQFfBlZGxEPAQ5LWASuySVcDL6lShnsCHiDucXAwOM/9zzkeDM5z/3OOe0cnKwBVOwrLBj2Wm3Zj7vNGqsTtnoAHi3scHAzOc/9zjgeD89z/nOPe0ckmQFU7CjMzMzMzs/boWAWgQEdhZmZmZmbWYh29B6BWR2HAObnp5uTen5MfZ2ZmZmZmxbX9CoCkDZJW5V5zysYPS9pC0hmS9mt3PGZmZmZmg2wmrgCsj4j5lUZImgVsiIhHJe0DfHgG4jEzMzMzG1id7Al4JemRnntIWg3sCVwjaXE2flzSZyWNSvqZpH2zqwW3SDq0U3GbmZmZmfWymbgCMEvSquz9rRFxOEBELJL0EeBm4F7gkIjIXwHYEhiOiI9Kugj4FPAa4MWkm4WXz0DsZmZmZmZ9paNNgIC9gQuBxcCqsnGPA5dk71cDj0XEE9nVgjmVCnNHYIPFHY4MBue5/znHg8F57n/Oce/oyFOAJB0HHA/MBXYDdgbukrQ4Io7OJnsie1Qo5DoCi4iNktwRmLnDkQHhPPc/53gwOM/9zznuHR25ByAizgYOBi7Lrg6MRcRuuZN/MzMzMzNrg072BLw/cJWknYDbOhiHmZmZmdnAaHsToIiYXWX4d3Mfj6g1X0ScVKRMMzMzMzOrraM9AZuZmZmZ9asFc+cycvrphabV0FCbo9mkKyoAkjaQnvRTclhErO1QOGZmZmZmfasrKgDUflSomZmZmZm1SLdUAKaQ9A7gMGAzYA/gNOApwNtJjwRdHBH3dSo+MzMzM7Ne1C0VgIq9BZNO/PcGtgDGgI9GxN6STgeOAc7IF+KOwAaLOxwZDM5z/3OOB4Pz3P+c497RLRWAak2AVkbEQ8BDktYBK7Lhq4GXlE/sjsAGizscGQzOc/9zjgeD89z/nOPe0cl+AIp4LPd+Y+7zRrqn8mJmZmZm1jO6vQJgZmZmZmYt5F/RrbNWrJj8eQafgWsFdFN+uiGWoaGpcVhv6Ib9xxpT6bvW6bx1237UTdtoaAg+9KHOLNsa1hUVgEo9+0bEOcA5uc9zqo0zMzMzM7NiOl4BqNAJ2AURcUqn4jEzMzMz62cdrwDgTsDMzMzMzGZM194ELGmtpJMlXS1pRNJLJf1E0s2S3tPp+MzMzMzMepEiorMBTG0C9JmI+I6ktcBnI+KrWcdfrwJeTuoUbE1EPLtCWfmOwBYsW7as7fHbNK1bN/nzVlsVnnV8fJzZs6fcPmKtNI38tMpEnrsgFsbGYO7cmV9un5uR73I37D8DruE8l+cMOp+3btuPumkbjY0xvv32M/5/eenSpYyMjGhGF9qAhbvuGiOnn15oWg0NjUbEwjaHBHR/E6Dl2d/VwOxcp2CPSto6Ih7IT+yOwHpQ+RMMGsiZOxyZAdPIT6tM5LkLYuG00/wUoDaYke9yN+w/A67hPFf6rnU6b922H3XTNjrtNIY/9CH/X+4RXdsEKJPv+Ku8U7BuqLyYmZmZmfWUbq8AmJmZmZlZC3XDr+izJK3Kfb4kIk7sVDA2wzrdiYrV1k356YZY3Pynd3XD/mON6cacdVtM3RTPihUwPNzpKKygjlcAImKzKsPn5N6fQ5VOwczMzMzMrLi2NQGStEHSKklrJF0n6R8kTVmepGFJW0g6Q9J+7YrHzMzMzMzaew/A+oiYHxG7A68BFgMfz08gaRawISIeBfYBRtsYj5mZmZnZwJuRm4Aj4m7S8/mPlyQASStJj/fcQ9JqYE/gGkmLs/Hjkj4raVTSzyTtm10tuEXSoTMRt5mZmZlZv5mxewAi4pasCdCzgbsiYpGkjwA3A/cCh0TEh3OzbAkMR8RHJV0EfIp0JeHFwLls6iNgQllHYAz7ZpS+Nj4+7hwPAOe5/znHg8F57n/Oce+Y6ZuAy3tq2xu4kNQ8aFXZuMeBS7L3q4HHIuKJ7GrBnEqFuyOwweKOwAaD89z/nOPB4Dz3P+e4vSRtIJ0TlxxGOideCRwaESuy6S4GTo2I4WplzVgFQNLzgQ3A3ZKOA44H5gK7ATsDd0laHBFHZ7M8ERGRvZ/oCCwiNkrq+NOLzMzMzMxm0PqImJ8fIGkOcDvwT0DhZ1XPyD0AkrYFzgS+FMnZwMHAZdmKjEXEbrmTfzMzMzMzq+86YJ2k1xSdoZ2/pJc6+Noc+DPwTeDzufH7A1dJ2gm4rY1xmJmZmZn1unznubdGxOG5cZ/KXj8tUlDbKgDVOvjKjf9u7uMRFcbPzr0/qdq4tin1rtdoz59DQ9PrLbTZ5far6W7PbtJN69JNsfSaQdt2lXoa7eT654+Rg3C8zG//ZtdzOvts+bzl+0Mz5Q7ad2iQjI2B7wGYjm0kjeQ+n5Xd31oypQlQSURcKQlJryyyoI62pc/dzFC6SnAucEZEbOxkXGZmZmZmM+yeiFg4jfk/TboX4M/1JpyRewBqqNtZmJmZmZmZ1RYRlwLPAPaqN22nKwATyjsLk/QOSd+XtELSrZKOl/QPkn4j6VeSntnpmM3MzMzMusingR3rTaRNT9qceZLGy9vzS7ofeBHweuCfSX0FbAGMAR+NiDMlnQ7cFhFnlM2b7whswbJly5oPbmws/Z07t/H5Gp2nFcvtVzW25/j4OLNnt/92kJaZ7r7RSt0USx1dl+ce2nYtUTom5bV4/RvKcf4YOQjHy/z2b3Y9p7PPls9bvj80UO5EngftOzRAxu+5h9nbbDOjy1y6dCkjIyPl/Ux1jYW77hojp59eaFoNDY1OswlQYd34PP18EldGxEPAQ5LWsen5pquBl5TP2NKOwE47Lf1t9Eal006b3s1NzS63X9XYnj3X4ch0941W6qZY6ui6PPfQtmuJ0jEpr8Xr31CO88fIQThe5rd/s+s5nX22fN7y/aGBcifyPGjfoQEyfPbZHPjmN3c6DCuga5oAweTOwrJBj+VGb8x93kh3Vl7MzMzMzLpa11QAyjsL63Q8ZmZmZmb9qNO/otfrLMzMzMzMzFqooxWAWp2FRcQ5wDm5z3OqjWuLZtsnTrddo9tFTtZP26Ob1qWbYuk1g7btum198/F0W2zt0Ip1nE4Z5fN2Oh7rbr65u2e0vQmQpO0lXSDpZkm/k/QjSS/Mjf+2pDmSTpB0ZLvjMTMzMzMbZG2tAEgScBEwHBEviIgXA/8IbJebbJeIWAscAFzZznjMzMzMzAZdu68ALAKeiIgzSwMiYlVEXCnpfEm/A+Zl9wEcDPxQ0nEAktZKOlnS1ZJGJL1U0k+yKwnvaXPcZmZmZmZ9qd33AOwBjFYaERFHS3oLsBNwIfDvEXFE2WR/iIiXZR1/nQO8nNQp2BrSE4MmKesIjOHh4RathnWj8fFx53gAOM/9zzkeDM5z/3OOe0ennwK0N/AzYE9gVYXxy7O/q4HZuU7BHpW0dUQ8kJ+4pR2BWdfrug6irC2c5/7nHA8G57n/Oce9o90VgDXAlC7hJC0GTgZ2AZYA2wIPS3p1RCzKTZrv+Ku8U7BOV17MzMzMzHpOzZNoSSuAqp1yRcShdcq/DDhZ0rsi4mtZmfsADwMLgCsi4uWSfg4cHhEPNhS9mZmZmZk1pN6v6Kdmf98IbA98K/t8FLC2XuEREZIOB86QdCLwaDbfCaTmP9dJegqwuU/+zczMzMzar2YFICIuB5D0bxGxf27UCklXFFlARNwBvKXK6JHs7/7lI2p1/JUfZ2ZmZmZmxRV9DOi2kp5f+iBpF1K7/Wmr11GYmZmZmZm1TtEbaU8AhiXdkn2eQ/a4zenIdRR2bkQcmQ2bT+oo7Kbplm9mZmZmZpPVrQBIehKwFbAr8KJs8O8j4rHqcxVWsaMwSQdKuhy4C5gPfI/0KNAPALOAwyLi5hYs38zMzMxsoNRtAhQRG4HjI+KxiLgue7Xi5B9qdBQG7EU64d8TeDvwwojYFzgb+PsWLd/MzMzMbKAUbQL0U0lLge+QHuEJQETc15aokmsi4k4ASTcDl2bDV5OuHEzhnoAHi3scHAzOc/9zjgeD89z/nOPeUbQC8LfZ3/flhgXw/ArTNqJiR2GZ8o6/8p2CVYzbPQEPFvc4OBic5/7nHA8G57n/Oce9o9BTgCJilwqv6Z78Q+oo7KmS3lUakHUUdkALyjYzMzMzszKFrgBI2hx4L5ue1z8M/EdEPDGdhdfoKOz70ynXzMzMzMwqK9oE6KvA5sBXss9vz4YdN90AanQU9rXcNAfm3g+TKiBm1ipDQ7BiRaejMDMzsxlQtAKwT0Tslft8maTr2hFQJZI2kG7+FbCB9FSiX87U8s3MzMzMGvanP8FZZ3U6iimK9gS8QdILSh+yXoE3tCekitZHxPysEvIx4DMzuGwzMzMzs75R9ArAh4GVWU/AAp4H/E3boqrt6cD9HVq2mZmZmVlPK1QBiIifS9oVmEeqALSqJ+CiZklaBWwB7AAcNIPLNjMzMzPrG0WvAAAsAOZk8+wliYg4ry1RTbU+IuYDSHoZcJ6kPSIi8hO5I7DB4g5HWugNb4Au3ZbOc/9zjgeD89z/nOPeUfQxoN8EXgCsYlPb/wBmqgIwISKulrQNsC1wd9k4dwQ2QNzhSAuddlrXPgXIee5/zvFgcJ77n3PcO4peAVgIvLj8F/dOkPQiYDPg3k7HYmZmZmbWa4pWAH4LbA/c2cZYaindAwDpHoRjI2Imn0JkZmZmZtYXalYAJK0gNfV5GvA7Sb8GJm7+jYhD2xvexHI2m4nlmA2sLm3+0/XcgZqZWXU+RnatelcAlgPbAVeWDT8A+N+2RGRmZmZmZm1TryOwNwDLI+Ly/Av4EXBYKwORdLikyNr4l4/7tqQ5kk6QdGQrl2tmZmZmNkjqVQDmRMT15QMjYoT0SNBWOgq4Cqh0gr9LRKwlXXkovxphZmZmZmYF1asAbFFj3KxWBSFpNvBy4J3kKgCSzpf0O2BedhPwwcAPJR3XqmWbmZmZmQ2SevcAXCPpXRHxtfxASe8ERlsYx2HAJRFxk6T7JL00Iq6NiKMlvQXYCbgQ+PeIOKJaIe4IbLC4w5HB0NV57uIO1HpJV+fYWsZ57n9TcuxjZNeqVwE4AbhI0tFsOuFfCDwFOLyFcRwFnJG9vyD7fG32eW/gZ8CepI7IqnJHYIPFHY4Mhq7Ocxd3oNZLujrH1jLOc/+bkmMfI7tWzQpARNwF/JWkRcAe2eAfRsRlrQpA0rOAg4A9JAWpk6+QNAx8GtgFWELq+fdhSa+OiEWtWr6ZmZmZ2SAp1BFYRKwEVrYphjcD50XE/ykNkHQ58CCwALgiIl4u6efA4RHxYJviMDMzMzPre0V7Am6no4BTyoZdCLwVWA9cJ+kpwOY++TezruJL22Zm1fkY2bU6XgGIiAMrDPtC7uNI9nf/GQnIzMzMzKyP1XsMaNeo1VGYmZmZmZkV0zMVAGp3FGZmZmZmZgX0RAWgWkdhZmZmZmbWmI7fA1DQYVToKKx8IncENljcqcxgcJ77n3M8GJzn/ucc945eqQDU6ihsgjsCGyzuVGYwOM/9zzkeDM5z/3OO20vSBmB1btBhwBzgB8AtwBbABRHxiXpldX0FoEZHYR+JiOhsdGZmZmZmM2J9RMzPD5A0B7gyIpZI2hJYJeniiBitVVAv3ANQ6ijseRExJyJ2Am4FXtHhuMzMzMzMukJEPAyMAi+oN20vVACOAi4qG1bqKMzMzMzMbBDMkrQqe5WfG5dazewHrKlXUNc3ASrQUZiZmZmZWa/bRtJI7vNZ2f2tJVOaAGVeKek3wEbglIjo/gqApO2A00k1lvuBx4HPRcRFuWmGgdcBp5BubvhVB0I1MzMzM2uXeyJiYRPzXRkRSxqZoaNNgCQJ+D5wRUQ8PyIWkJ7zv2NumlnAhoh4FNiH1LbJzMzMzMya0Ol7AA4CHo+IM0sDIuK2iPgigKSVpMcd7SFpNbAncI2kxR2J1szMzMysx3W6CdDuVHief0lELJL0EeBm4F7gkIj4cLXp3RHYYHGHI4PBee5/zvFgcJ77n3PcXhExu8KwYWC40bI6XQGYRNKXSY/3fDwi9skG70166s9iYFWt+d0R2GBxhyODwXnuf87xYHCe+59z3Ds6XQFYA7yp9CEi3idpG2BE0nHA8cBcYDdgZ+AuSYsj4uiORGtmZmZm1uM6fQ/AZcAWkt6bG/YXABFxNnAwcFn2yKOxiNjNJ/9mZmZmZs3raAUgIgI4DDhA0q2Sfg2cC3w0m2R/4CpJOwG3dSZKMzMzM7P+0ekrAETEnRFxZETsEhH7RsSiiPhONu67EfG5iPhDRBwx3WVJmvTqmjKGhmY8jm6IoWVWrGj59mhqfVoQR0vKoDX5baV+2lfqlTtdTZVTtl6sWDGtZbdi+3SsnGr7+tDQ5FezWrUPDQ3VL6dInJXKaXL9Wpb/dn3PpqFt8XR6W7dIxXha+H9juscma72OVwCKkLSdpP+UdIukUUlXSzq803GZmZmZmfWarq8ASPU7CzMzMzMzs2I6/RSgIip2FgZ8sXMhmZmZmZn1JqX7cLuXpPcDu0TEBwtMm+8IbMGyZcsmjR8dHZ30ecGCBQ3H05YyttoK5s6d0Ti6IYbpGh8fZ/bs2bBuHaNjY9OKpXxdmimjFXG0pAxak99Wms6+MpHnVmjR9q1V7nTLK22rhsopW68Fc+fCVls1vey8ZtenkZzXynHD+87YWOV9vSzvTX8fWrUPjY0xum5d7XKqrUu9cpr8vrcs/1W2UUu/yw1q2/+rIjkqEA/M/P/QvIrxNLEfVcvxxHGtyWNTLUuXLmVkZKTzN5pUsXDrrWNk//0LTasVK0YjYmGbQ0oioqtfwPuB03OfvwxcB1xTa74XvvCFUQ6Y9GpGW8pYsmTG4+iGGKZr5cqV6c3y5S3fHk2tTwviaEkZ0Zr8ttJ01mkiz63Qou1bq9zpaqqcsvWK5cuntexWbJ9GyqmV44bjqbavL1ky+dWsVu1DS5bUL6dInJXKaXL9Wpb/Ktuopd/lBrXt/1Wnt3WLVIyniXWrluPpHptqWbBgQUQXnK9Wey3YaquIoaFCL2BkpuLq+nsASJ2FvbT0ISLeB7wK2LZjEZmZmZmZ9aheqABU7SzMzMzMzMwa0/UVgIio11mYmZmZmZkV1AtPASIi7iQ9+nO65bQilr4ooxtiaJmhoa7YHq2IoyVl0EW5yXRNPC3avu0st6lyunC/6dj2qNbRUKs6IGpVrlesoG4pRWIuUk5BLct/u75n09C2eJrcrwZm+8xQ+da4rrkCIGmDpFW515yy8cOStpB0hqT9OhSmmZmZmVlP66YrAOsjYn6lEZJmARsi4lFJ+wAfntHIzMzMzMz6RNdcAahG0kpgNbCHpNXAnsA1khZ3NjIzMzMzs97TTVcAZklalb2/NSIOB4iIRZI+AtwM3AscEhEVrwCUdQTG8PBw24O2zhkfH3eOB4Dz3P+c48HgPPc/57h3dFMFoGoTIGBv4EJgMbCqWgERcRZwFsC8efPiwAMPbG2E1lWGh4dxjvuf89z/nOPB4Dz3P+e4d3RTBWAKSccBxwNzgd2AnYG7JC2OiKM7GpyZmZmZWQ/q6nsAIuJs4GDgsuzqwFhE7OaTfzMzMzOz5nR1BSCzP3CVpJ2A2zodjJmZmZlZL+uaJkARMbvK8O/mPh7R1iAqdegxNFRzFkkT72P58kLzFIlDhx66qdwCHWiU4mhZDJSt2wzFkF/mRFnTKKdd2wO6Iy8AsWRJ/c5ocvtUK/MDzXXw0pZ9pcmOZurF0uh3fKK8CvE0EvNEOUXyW0DTuStfdgv24ZJSTKeeeiqLFi2a0Xhaeexux/d8QjPr26Lve6F4CpYtaVOemzyul8opN51jEExzG5X/v27BurVqf5xuPOXrBhW2dfm+tnFj7TKHhtDFF08/tl4ydy6UclpPhf27XbqmAlCPpA2kx4GWHBYRazsUjpmZmZlZT+qZCgC1nxJkZmZmZmYF9MI9AGZmZmZm1iK9dAWgYkdhZmZmZmZWnJq9cW6mSRqvdqNwbpp8T8ALli1b1thC1q2bOmyrrWrOMjo6OvF+wdy5heYpEsfo2NimchcsqDtLKY6WxUDZus1QDPllTpRVpZzx8XFmz668S7R7e0B35AVgwVZbpZuMasntU63MDxTbDtXKKRJLtTw3k49mYmn0Oz5RXoV4Gol5opwi+S2g6dyVHxdbsA+XlGLacccduf3222c0nlYeu9vxPZ/QzPq26PteKJ6CZY+Ojm7Kc43jepFyyk3nGATT3Ebl/69bsG6t2h+nG0/5ukGFbV22r40Ds2stb2yM0WwfmlZsOUuXLmVkZGTm7p5t0MKFC2NkZKTQtJJGI2Jhm0NKy+qnCkDevHnz4sYbb2xsIX4KUMUyZzKGRp4CVKvHQT8FqEwPPwWoWp79FKDGdPtTgJYuXeqnAFXSZ08BWrp0qZ8CVCemXn4K0PDGjRz4hjdUL7MNTwFauHChKwBN8D0AZmZmZmYDxBUAMzMzM7MB0jM3ATfS/KdpTVyKaksTqqGhhsttRxydiKFV69EN26Ob4mhmn2rZsttUzkzF0srvQSNltXrfabq8NnbUU4ppeHi4eHwtiqeV27etTWmbWd8Wfd+rld2MiGgszzXKaYWWbZ8WbutuK6fQupVPMzxce/oVK+iNhuf9r2cqABU6ArsgIk7pVDxmZmZmZr2oZyoAuCMwMzMzM7Np8z0AZmZmZmYDpJcqALMkrcq9/rrTAZmZmZmZ9Zq+agJU1hEYw/VuRrGeNj4+7hwPAOe5/znHg8F57n/Oce/opQpAXRFxFnAWpI7AqnUSZf2hVkdg1j+c5/7nHA8G57n/Oce9o5eaAJmZmZmZ2TT10hWAWZJW5T5fEhEndioYMzMzM7Ne1DMVgIjYrNMxmJmZmZn1OjcBMjMzMzMbIB2vAEjakD3Wc42k6yT9g6QpcUkalrSFpDMk7deJWM3MzMzMel3HKwBkj/eMiN2B1wCLgY/nJ5A0C9gQEY8C+wCjMx+mmZmZmVnv64YKwISIuJv0HP/jJQlA0kpgNbCHpNXAnsA1khZ3LlIzMzMzs97UdTcBR8QtWROgZwN3RcQiSR8BbgbuBQ6JiA9XmtcdgQ0WdzgyGJzn/uccDwbnuf85x72j6yoAGZV93hu4kNQ8aFW1mdwR2GBxhyODwXnuf87xYHCe+59z3D6SngX8PPu4PbAB+FP2eS/g8xHxoWzapcDsiDipWnldVwGQ9HzSSt0t6TjgeGAusBuwM3CXpMURcXQHwzQzMzMzmxERcS8wH0DSScB4RJyafX4UeKOkz0TEPUXK66p7ACRtC5wJfCmSs4GDgcsiYj4wFhG7+eTfzMzMzAyAP5NawHyw6AzdcAWg1MPv5qQV+Cbw+dz4/YGrJO0E3Dbz4ZmZmZmZtd02kkZyn8/KmrcX8WXgekmfKzJxxysA9Xr4jYjv5j4e0eZwzKYaGkp/V6zobBxmZmY22dhYpyNopXsiYmEzM0bEg5LOA94PrK83fVc1AaqkaEdhZmZmZmYD7AzgncCW9SbshRPpuh2FmZmZmZkNsoi4D1hGqgTU1AsVgAmVOgozMzMzMzMATgO2qTeRImIGYmmepPGImF027H7gRRFxV9nwfEdgC5YtWzZzgdqMGx8fZ/bs2fUnnK5S+8K5c9u/LJtixvJsHeMcDwbnuf91IsdLDzuMkQce6NofhRcuXBgjIyP1JwQkjTZ7D0CjOn4TcJMqJtodgQ2WGetw5LTT0l/fBNwR7lim/znHg8F57n/Oce/oqSZAMLmjsE7HYmZmZmbWa3qqAlDeUVin4zEzMzMz6zW90ASoXkdhZmZmZmZWUNdXAOp1FGbWdm77b2Zm1p38gI6mdEUTIEnbS7pA0s2SfifpR5JemBv/bUlzJJ0g6chOxmpmZmZm1ss6XgHInud/ETAcES+IiBcD/whsl5tsl4hYCxwAXDnzUZqZmZmZ9YeOVwCARcATEXFmaUBErIqIKyWdL+l3wLzsPoCDgR9KOq5DsZqZmZmZ9bRuuAdgD2C00oiIOFrSW4CdgAuBf4+II6oVVNYRGMPDw62P1rrG+Pi4czwAnOf+5xwPBue5/znHvaMbKgD17A38DNgTWFVrQncENljc4chgcJ77n3M8GJzn/ucc945uqACsAd5cPlDSYuBkYBdgCbAt8LCkV0fEopkN0czMzMysP3TDPQCXAU+V9K7SAEn7AA8DC4DfRsSepIrC3j75NzMzMzNrXscrAFmPvocDr8keA7oGOAm4g9T85zpJTwE2j4gHOxepmZmZmVnv63gFACAi7oiIt2SPAd09Ig6JiP+OiJGI+LuIeDwi9m+kzEceeQRJk17NaKiMoaGK80w3jobKGBqCoaGujaHatBOvgsuWxOjoaCqzynz1Ymn5vlEvjhrrUqiMXDmTrFgx7f20amdn08hPQ9t3xYrJryZiKRRHE/tKrXUubfui8TQzTaX8NrzfVNHU96BAPK36ThXddwrty7UUPE4U3tZFctZknM2W05KcVVr3SjEV3EZ1v/fl3/l2HoMqxVRJvXiK7ke1TOd/aHlMrYgnp0iup+yfNbZlkdimLK/APmH1dUUFoAjV6SzMzMzMzMzq64kKgFL1tF5nYWZmZmZmVkc3PAWoiIqdhXUuHDMzMzOz3qR0D253k/R+YJeI+GCd6SY6Attmm20WnHjiiZPGL1iwoOFlj45O7qOsZhljYzB37pR5yjUaR6XyqpYxNpbmWbeuK2OYMk827YS5cwstG2DHHXfk9ttvZ8FWW1Wcr14sNeMqYMq+US+OIvtGrTJy5Uyybh2jZdux0f10wdy5sNVWlafNayA/heMBKM9PLpbx8XFmz55dN5ZCcTSxr1SKvbSsBXPnMjo2VrHcIt+ZQt+rCvmdMk+9/aaKho5vDcRTuKxMKccNHWeqxFN1X66l4HECCm7rIjlrMs4p+2fBclryPa10/KkUU5VtNPFdhqnfeZi6HpW2YbuOQZViauaYWGF7NBzPdP6HlsfUinhy6v3fGx8f58Ybb9w0vjSuyrYsEtuU5ZVZeuaZjIyMNHfj0QxYuHBhjIyMFJpW0mhELGxzSElEdP0LeD9weiPz7LjjjgFMejWjoTKWLKk4z3TjaKiMJUsilizp2hiqTTvxKrhsIE499dRUZpX56sXS8n2jXhw11qVQGblyJlm+fNr7aSxfXn3aJvPT0PZdvnzyK2flypWFYikURxP7Sq11Lm37ovE0M02l/Da831TR1PegQDyNfqdKOW523ym0L9dS8DhReFsXyVmTcTZbTktyVmndK8VUZRtNfJcjpn7nK61H+Xe+ncegSjFVUi+eovtRLdP5H1oeUyviyamX65UrV07dP2tsyyKxTVle2WvBggURXXCuWu2VxVd0+47MVFw9cQ8AqQ+Axn+iNTMzMzOzSXqlAlCxszBJB3QwJjMzMzOzntMTFYDsski1zsLMzMzMzKygnrgJuBmSHgJurDuh9bJtgHs6HYS1nfPc/5zjweA8979O5Ph5EbHtDC+zMEmXkLZLEfdExOvaGU9JP1cARmKm7qS2jnCOB4Pz3P+c48HgPPc/57h39EQTIDMzMzMzaw1XAMzMzMzMBkg/VwDO6nQA1nbO8WBwnvufczwYnOf+5xz3iL69B8DMzMzMzKbq5ysAZmZmZmZWxhUAMzMzM7MB0ncVAEmvk3SjpDFJJ3Y6HmuMpG9IulvSb3PDninpp5L+O/v7jNy4j2W5vlHSa3PDF0hanY37giTN9LpYZZJ2krRS0g2S1kj6QDbcee4TkraQ9GtJ12U5/kQ23DnuQ5I2k/QbSRdnn53nPiJpbZabVZJGsmHOcY/rqwqApM2ALwOvB14MHCXpxZ2Nyhp0DlDeCcaJwM8jYlfg59lnstweCeyezfOVbB8A+CrwbmDX7DUjHWtYIX8GPhQRuwH7Ae/Lcuk894/HgIMiYi9gPvA6SfvhHPerDwA35D47z/1nUUTMzz3j3znucX1VAQD2BcYi4paIeBy4AHhDh2OyBkTEFcB9ZYPfAJybvT8XOCw3/IKIeCwibgXGgH0l7QA8PSKujnSX+3m5eazDIuLOiLg2e/8Q6cThuTjPfSOS8ezj5tkrcI77jqQdgUOAs3ODnef+5xz3uH6rADwX+EPu8+3ZMOtt20XEnZBOHoFnZ8Or5fu52fvy4dZlJM0B9gb+C+e5r2TNQlYBdwM/jQjnuD+dAXwE2Jgb5jz3lwAulTQq6d3ZMOe4xz250wG0WKX2ZH7Oaf+qlm/vBz1A0mzgQuCEiHiwRnNQ57kHRcQGYL6krYGLJO1RY3LnuAdJWgLcHRGjkg4sMkuFYc5z93t5RNwh6dnATyX9vsa0znGP6LcrALcDO+U+7wjc0aFYrHXuyi4fkv29OxteLd+3Z+/Lh1uXkLQ56eT//Ij4XjbYee5DEfEAMExq7+sc95eXA4dKWktqcnuQpG/hPPeViLgj+3s3cBGpubVz3OP6rQJwDbCrpF0kPYV0I8ryDsdk07ccODZ7fyzwg9zwIyU9VdIupJuKfp1djnxI0n7ZUwaOyc1jHZbl5OvADRHx+dwo57lPSNo2++UfSbOAVwO/xznuKxHxsYjYMSLmkP7fXhYRb8N57huStpT0tNJ74GDgtzjHPa+vmgBFxJ8lHQ/8BNgM+EZErOlwWNYASd8GDgS2kXQ78HHgFGCZpHcC/wMcARARayQtA35HerLM+7JmBwDvJT1RaBbw4+xl3eHlwNuB1VkbcYB/xHnuJzsA52ZP/3gSsCwiLpZ0Nc7xIPB3uX9sR2rCB+mc8T8j4hJJ1+Ac9zSlm7HNzMzMzGwQ9FsTIDMzMzMzq8EVADMzMzOzAeIKgJmZmZnZAHEFwMzMzMxsgLgCYGZmZmY2QFwBMDObBknPkrQqe/1R0v9m78clfaVNyzxB0jHZ+xdly/uNpBe0Y3kNxHWBpF07GYOZmdXnx4CambWIpJOA8Yg4tY3LeDJwLfDSrO+TE4FZEfHxsulEOsZvbFcsFWI7AHhbRLxrppZpZmaN8xUAM7M2kHSgpIuz9ydJOlfSpZLWSnqjpM9JWi3pEkmbZ9MtkHS5pFFJP5G0Q4WiDwKuzU7+FwMnAMdJWilpjqQbsisP1wI7SfqqpBFJayR9IhffWkknS7o6G//SbJk3S3pPbroPS7pG0vWl+bPeQX8o6TpJv5X019nkVwKvziopZmbWpVwBMDObGS8ADgHeAHwLWBkRewLrgUOySsAXgTdHxALgG8CnK5TzcmAUICJ+BJwJnB4Ri7Lx84DzImLviLgN+KeIWAi8BDhA0ktyZf0hIl5GOnE/B3gzsB/wSQBJBwO7AvsC84EFkvYHXgfcERF7RcQewCVZPBuBMWCv6WwoMzNrL/9KY2Y2M34cEU9IWg1sRnbSDKwG5pBO3PcAfppa77AZcGeFcnYAbqixnNsi4le5z2+R9G7S8X4H4MXA9dm45bkYZkfEQ8BDkh6VtDVwcPb6TTbdbFKF4ErgVEmfBS6OiCtzy7sbeA5ZJcXMzLqPKwBmZjPjMUi/kkt6IjbdgLWRdCwWsCb7Rb6W9cAWNcY/XHojaRdgKbBPRNwv6ZyyeR/LxfBYbng+ps9ExH+UL0TSAmAx8BlJl0bEJ7NRW2QxmplZl3ITIDOz7nAjsK2klwFI2lzS7hWmuwGYW7DMp5MqBOskbQe8vsGYfgL8raTZWUzPlfRsSc8BHomIbwGnAi/NzfNCYE2DyzEzsxnkKwBmZl0gIh6X9GbgC5K2Ih2fz2DqyfSPgW8WLPM6Sb/JyrgF+EWDMV0qaTfg6qxZ0jjwNlIF5N8lbQSeAN4LkFUy1kdEpaZLZmbWJfwYUDOzHiPpIuAjEfHfnY4lT9IHgQcj4uudjsXMzKpzEyAzs95zIumG3m7zAHBup4MwM7PafAXAzMzMzGyA+AqAmZmZmdkAcQXAzMzMzGyAuAJgZmZmZjZAXAEwMzMzMxsgrgCYmZmZmQ2Q/x9GoKZnhwcMqAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def chord_recognition_all(X, ann_matrix, p=0.15, filt_len=None, filt_type='mean'):\n", " \"\"\"Conduct template- and HMM-based chord recognition and evaluates the approaches\n", "\n", " Notebook: C5/C5S3_ChordRec_Beatles.ipynb\n", "\n", " Args:\n", " X (np.ndarray): Chromagram\n", " ann_matrix (np.ndarray): Reference annotation as given as time-chord binary matrix\n", " p (float): Self-transition probability used for HMM (Default value = 0.15)\n", " filt_len (int): Filter length used for prefilitering (Default value = None)\n", " filt_type (str): Filter type used for prefilitering (Default value = 'mean')\n", "\n", " Returns:\n", " result_Tem (tuple): Chord recogntion evaluation results ([P, R, F, TP, FP, FN]) for template-based approach\n", " result_HMM (tuple): Chord recogntion evaluation results ([P, R, F, TP, FP, FN]) for HMM-based approach\n", " chord_Tem (np.ndarray): Template-based chord recogntion result given as binary matrix\n", " chord_HMM (np.ndarray): HMM-based chord recogntion result given as binary matrix\n", " chord_sim (np.ndarray): Chord similarity matrix\n", " \"\"\"\n", " if filt_len is not None:\n", " if filt_type == 'mean':\n", " X, Fs_X = libfmp.c3.smooth_downsample_feature_sequence(X, Fs=1, filt_len=filt_len, down_sampling=1)\n", " if filt_type == 'median':\n", " X, Fs_X = libfmp.c3.median_downsample_feature_sequence(X, Fs=1, filt_len=filt_len, down_sampling=1)\n", " # Template-based chord recogntion\n", " chord_sim, chord_Tem = libfmp.c5.chord_recognition_template(X, norm_sim='1')\n", " result_Tem = libfmp.c5.compute_eval_measures(ann_matrix, chord_Tem)\n", " # HMM-based chord recogntion\n", " A = libfmp.c5.uniform_transition_matrix(p=p)\n", " C = 1 / 24 * np.ones((1, 24))\n", " B_O = chord_sim\n", " chord_HMM, _, _, _ = libfmp.c5.viterbi_log_likelihood(A, C, B_O)\n", " result_HMM = libfmp.c5.compute_eval_measures(ann_matrix, chord_HMM)\n", " return result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim\n", " \n", "def plot_chord_recognition_result(ann_matrix, result, chord_matrix, chord_labels,\n", " xlim=None, Fs_X=1, title='', figsize=(12, 4)):\n", " P, R, F, TP, FP, FN = result\n", " method='HMM' \n", " title = title + ' (TP=%d, FP=%d, FN=%d, P=%.3f, R=%.3f, F=%.3f)' % (TP, FP, FN, P, R, F)\n", " fig, ax, im = libfmp.c5.plot_matrix_chord_eval(ann_matrix, chord_matrix, Fs=Fs_X, figsize=figsize,\n", " title=title, ylabel='Chord', xlabel='Time (frames)', chord_labels=chord_labels)\n", " if xlim is not None:\n", " plt.xlim(xlim)\n", " plt.tight_layout()\n", " plt.show()\n", "\n", "song_selected = [0] \n", "for s in song_selected:\n", " output = chord_recognition_all(X_dict_STFT[s], ann_dict_STFT[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " title = 'Song: %s [STFT; Template]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_STFT[s][0], result_Tem, chord_Tem, chord_labels, title=title)\n", " title = 'Song: %s [STFT; HMM]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_STFT[s][0], result_HMM, chord_HMM, chord_labels, title=title)\n", "\n", " output = chord_recognition_all(X_dict_CQT[s], ann_dict_CQT[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " title = 'Song: %s [CQT; Template]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_CQT[s][0], result_Tem, chord_Tem, chord_labels, title=title)\n", " title = 'Song: %s [CQT; HMM]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_STFT[s][0], result_HMM, chord_HMM, chord_labels, title=title)\n", " \n", " output = chord_recognition_all(X_dict_IIR[s], ann_dict_IIR[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " title = 'Song: %s [IIR; Template]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_STFT[s][0], result_Tem, chord_Tem, chord_labels, title=title)\n", " title = 'Song: %s [IIR; HMM]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_IIR[s][0], result_HMM, chord_HMM, chord_labels, title=title) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the STFT-based chromagram in combination with the template-based chord recognizer, one obtains an F-measure of $\\mathrm{F}=0.491$. As the visualization shows, there are many sudden jumps between chord labels. Using the HMM-based approach reduces the number of outliers leading to an improved measure of $\\mathrm{F}=0.643$. Using the CQT-based chromagram as input representation, the results significantly improve yielding $\\mathrm{F}=0.779$ for the HMM-based approach. The best result of $\\mathrm{F}=0.789$ is obtained when using the IIR-based chromagram in combination with the HMM-based approach.\n", "\n", "* This example shows that the choice of chroma variant may have a substantial impact on the final chord recognition result. \n", "* Also, it highlights the benefits of the [**postfiltering introduced by the HMM**](../C5/C5S3_ChordRec_HMM.html).\n", "\n", "In the next code cell, we show the results for all four selected Beatles songs using the CQT-based input chromagram in combination with the HMM-based chord recognition approach. The F-measures for the four songs are as follows: \n", "\n", "* `LetItB`: $\\mathrm{F}=0.779$ \n", "* `HereCo`: $\\mathrm{F}=0.750$\n", "* `ObLaDi`: $\\mathrm{F}=0.895$\n", "* `PennyL`: $\\mathrm{F}=0.715$\n", "\n", "Averaging these numbers on the song level yields a mean F-measure of $\\mathrm{F}=0.785$. This is roughly the value one also obtains for the entire Beatles collections ($180$ songs) when applying a simple HMM-based chord recognition approach. More recent data-driven chord recognition approaches (e.g., using techniques based on deep neural network) achieve recognition rates between $80$ and $90$ percent for the Beatles collection. In general, such numbers need to be taken with caution, since they only give limited insights into the complexity of the dataset, the appropriateness of the model assumption, the reliability of the annotations, and the musical meaningfulness of the results. We come back to the musical relevance of such evaluation numbers later in this notebook." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:25.861026Z", "iopub.status.busy": "2024-02-15T08:57:25.860806Z", "iopub.status.idle": "2024-02-15T08:57:26.901704Z", "shell.execute_reply": "2024-02-15T08:57:26.900911Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwAAAAEYCAYAAADrm5FRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAABD60lEQVR4nO3debgdVZn2/+8tgqBRUINRSTBIIIIggRN4obGZVNRAEFrBAWdpW7tpRQ2IrW+LdjshEX7YKiJ2Aw4grzSagOAER6GllQQDERFNGDSCIFPgIJPJ8/tjrZ1UdvZYZ4/n3J/r2tfZNeyqVc9ep3atqlX1KCIwMzMzM7PJ4Qn9LoCZmZmZmfWOGwBmZmZmZpOIGwBmZmZmZpOIGwBmZmZmZpOIGwBmZmZmZpOIGwBmZmZmZpOIGwA2MCSdLenf+7TuMyT93zrTTpL0uKQxSU/pddkGiaQn5Tg83ui7krSzpCW9LJuZ2WQj6XOS3tXvctjwcQNggpH0Ykk/k7Ra0r2S/kfSngNQLkk6XtLvJD0s6feSPi3pSW0sIyTNKrHuW/M6H5R0f47PuyStq/8R8a6I+LcGi/lWREyJiIcKy91L0vfyMu+V9AtJbytM30rSlyT9SdJfJC2X9JbC9LHCa20uY2X46Ba2a6MGk6SZOU5PLMwTkg6rmu+0PP6tefitefhzVfMdnsefneP0aERMAb7RpHj/BpzSynZWNbAq388+zba/qpwH5vjeL+keSRdJ2qZqnpdKulbSQ5L+IOmoPH5HSd+V9Of8PX5f0uw667m8GN8WynVA3uZiDBbnaePe7qp1/Ve9/xFJz8jbd1Vh3NS8f7gnr/9qSfu2sb7K/1Vx255bqIOXVM3/dUknjWP7PpqX+9LCOEn6TN6GeySdLEmF6XMkXam0P1wl6V/bWN+opEfydt0t6b8lPafNMjcsX435j5J0o9K+6teSDi9M20rSOZLuyq+Tqj77b/l/4K/txrkT21pY1vuU9nmrJf2nGuzjJR2U/ycfkHSzpHcWpj1J0qmSbpd0n6QvStq0MH2n/P+4WtIKSUe0UcazJT1WVXdf2+Z2PkNpP/OQpNskvaHBvJL075L+mMs7KumFrWxL4f+pWNbiyarPAh+WtFk75TdzA2ACkfQ04GLg88AzgG2AjwGP9rNc2enAO4E3A08FXgkcBFzQo/XPj4inAs8DPg18EPhq2YUpHahdDvwEmAU8E3g3abvIO+Mf5fXtA2wJHA+cLOk9ALlBMSUfUP8+l7EyrtkBdjt+CxQbHk8EjgRWVs23EnitNjy4fXP+fMvygcOBwHeg5e38Vp6+NXAV8N+NDpRq+DXw8ojYCngu8DvgS4Uy7Qx8E/gw6buYAyzNk7cCFgGzgWnAL4Dv1tiuo4GWDvyr3F6MQUTML0wb73ZXyvZiYPsGs3wGuLFq3Bjw9rzup+d5FqvFxk02v2rbbi9M21ttNCgakbQ98BrgjqpJ7wQOB3YDXgQcCvxDYfo3gZ+S9of7A+9WVWO4iWPz97MjqZ6c2mbRm5VvHaUG69eB9wNPI+0vvinpWXmWU4EnAzOBvYA3qXDCAVgBnABs0PBqQ2VbZwFTyA34dkh6OXAi8JJczueTfoNqzbspcBHwZdL/5GuBz0naLc9yIjAX2IUU/z2Aj+TPPpH0P3ox6bt9J/B1STu2UdyTq+rut9r4LMAXgMdI+4yjgS8VD+qrHEn6X/vbXN6rga+1uS1bFcq67mRVRNwB/AZop16buQEwwewIEBHnRcSaiHg4In4QEdcDSHqCpI/ksxV3STpX0pZ5WuUsw1uUzs7fLenDlQVL2iKffbovn6E6QdKqVgolaQfgH4GjI+LqiPhrRNwAvBp4haSDCrNPlfRDpTNgP5H0vBaWv30+e3JPLvc3JG1Va96IWB0Ri0g/Nm+RtEteRrvdjz4LnBMRn4mIuyNZGhFH5elvArYFjoyIWyLi8Yi4DHgP8O+SntrCdr1Y0v1tlKmexcC+kp6eh18BXA/8qWq+PwHLgZfn9T8D+BvSwXE7XgZcGxGPtFvQiHgcOAd4NqlR1ern7qw6+FxDOpCp+Ajw5Yi4NNe/eyJiZf7sLyLiqxFxb17/qcBsSevWn/9PPko6wOq4stsN6w4gPg8cW2f6PqSDqP+qWucjEXFTRKwFRIrZ00kHIZ1wMtCpLn3/QWq0P1Y1/i3AwohYFRF/BBYCby1Mnwl8I+8PV5IaWfUO0uqKiHuBC0lxbEez8hVNB+7PdTQi4hLgIdY37OaTDlr/EhG3kk5gvL1QxnMi4lLgwTbLuIGIuJ/UeJ9T4uNvAb4aETdExH2kK4FvrTPvM0gNna/l7b2G1EjdOU+fD5ye/y//TDqJVNneF5Aa+qfm7/Zy4H9I+92uU+oK+mrg/0bEWERcRdpP1lv/dsBVEXFzRKwhNfQq29mJbRkFDml/S2wycwNgYvktsCYfqL+ycMBX8db8OpB0ZmYK6Ye16MWkM6EvAf5V0k55/EdZf0bnZcAbix/Kl2e/WKdcLwFWRcQviiMj4g/A/+blVRxN+tGYCiyjeVcTSAcvnyLtRHcCZgAnNfpALssq0hmZtkh6Mums/rcbzPYy4NJil6HsQtJZvL2brScirspntMfrEdKP0+vy8JuBc+vMe26eTp7/u7R/BWlX4KY2PwOky/6kOroqIu6uNIIavF5c+Oy2ucH0MLCAdABasXeeZ7mkO5S6o9Q70N0P+FNE3FMY90nSFYXqRlNHjGe7gfcBP6009KuWuwnpTOWxQNRZ9/WsryNnRcRdHdqsLwA7qtBlp7DObZts3xsK8x4JPBYR36uxjhcC1xWGr2PDA/zTgDdL2lSpW9c+pCtzbZE0lXTA98s8fGKj8rdRvqIlwI2SDpO0iVL3n0dJjfV1Ral6326DpKnc8P070hWFyrg3NPm+ts2z1treacXGdEVE3AmcB7wtb+8+pCumlW5qYuPtnZ4b47WuknUkHpIubrCdF+fZdgTWRETx6mij7/Z8YJZSd8NNSQ2lywrlbmVbblPqxvZfuT4W3Ui6ymTWMjcAJpCIeIB0AB/AV4A/S1okaVqe5Wjgc/ksxBjwIeB12vCS/8fylYPrSDu0yk7lKOCTEXFfRKwinY0prvsfI+If6xRtKhtfuq+4I0+vuCQifhoRj5K6a+wjaUaT7V4RET+M1D/9z8DnSJf7m7mdcmc7n07636m3TVBnmyPir8DdpG4XnbCg6sBjo4PA7FzSgdCWpNh8p858FwEH5PkaNRQa2Yr2z0Ielcv/B2CE1G1iXSOowWtdn/aI+H1uME0lnfH/TWH500ln1F4N7ABsQTprvgFJ00kHru8vjJsL7Ftr/hY9t+og4qjCtHFtd/7f+AegXt/29wA/j4ildaYTES8inYl9A+sPvlr1ncJ2fadq2iPAJ6hxFaDyXTV4fTNv3xRS4+u4OuufAqwuDK8GpkjrulFdTOo69DCpPnw1n2lu1en5+7mO9P/8/lz+TzcqfxvlK8ZkDen/7ZukA/9vAv9QOIlwGXCipKcq3efxdtLJhE45XdJq0v5pKvDPhbJ9s8n39fsG2wup22ct55Hq7qPAlcCH84khgEuB90raWtKzSXUZ0jb/BrgLOD437g4m7dfaiUdx33l3YVsPbbCdh9bZzsq21tvOO/L23USqi0eSGu60sC13A3uSGkcjeR3VJ8YeJO13zVrmBsAEExE3RsRbI2I66QzCc0lnwcjvbyvMfhupT/O0wrjiGc6/kHZ0lc/+oTCt+L6Zu4F6N5Q9J0/faLm5kXJvXnddkp4l6XylG6weIF1erT5DUss2efntug9YS/1tgjrbnBtbU4E/l1hvLadUHXi8qNZM+YBxa9KB8cUR8XCd+R4m9SH+CDA1Iv6nRJnuo/4PYT0X5G14VkQc1OiAtZlI3TXOAb5baNw+DPxXRPw216tPAvOKn5O0NfAD4IsRcV4e9wTgi8B7c+OtjNurDiKK972Md7tPAz4eEdUHI0h6Lumg6cPV06pF6g50HukAs50ziYcXtuvwGtO/QjoDPL/GtFZ8jNRF5JY608dIjZeKpwFjERH5Cs9lwMeBzUlXBl8uqd6Jilrek7dtm4g4Op9gaEfd8lXPmK+UnAwcAGxGOgg8S9KcSllI9fh3pCtz55GuYnbKeyJiS9I+5OmkRnO7am0v1DghIOkFwLdIJxo2I509P0FSpSvLJ0hXXJYBPyOdtHgcuCtSl7nDSd1e/gR8gHQ/WTvxKO47W/m9KKreTvJwvRMfHyUdxM8g1cWPAZdLenKzbYnUxWhJpK6Ld5Ku5h2sdM9fxVOB+9vcBpvk3ACYwCLiN8DZrL+UeDvpLELFtsBfgTtbWNwdbPiD0PCsfJXLgRmS9iqOzGcv9wZ+XGu5+ezfM3K5G/kU6arHiyLiaaTuSQ1vpFR6MtI2tH/Gk4j4C+kmrlc3mO1HwCu18WNDX036EfvFxh/puq+TflyandU/N8/3tZLruZ58P8p4Sfpbbfj0i+pXvS5cTwSexfof6eup0wUmr+fppIP/RRHxicKkp5FuRPyWpD8BlbPHqxqse9za2O6XAJ9VeupKpfF+tVIXmr1IjdBf52n/H7BXnneTOqvelNTNryPywc3HSN36ik/n2bbJ9lWegvUS4D2F7ZsBXCDpg3n6DWzY9WG3PI68HWsi4tx88LSK1BVjg4ZfGZL+pVH5C7M2Kl+1OaSuXEsiYm2+UvFz4KWQGra5EfLsiHgh6fe74/uRiFhOumrzhcqVCqWndTX6vipdgGpt752xYXe6il2AmyLi+3l7byKdfHhlLsfDEXFsbnw9H7gHWJqvlBAR10fE/hHxzIh4Oen7Hnc8JF3aYDsvzbP9Fnii0v1txW2t993uRrrhf1Wui2eTGlk7l9iWyn6s+Bu3Ext2vTJryg2ACUTSCyR9IHdjqBxgv57Uzx7SGaP3SdqucGn9Wy2e2bwA+JCkpys9raLmDYe1ROoneQbwDUl7K/X3fCGpP/yPIqLYJ3eeUv/nzUgHDT8vXBIG2EzS5oXXJqSzH2PA/blsx9cri6SnSTqUdCDw9fxjV8YJwFuVHm36zLzs3SSdn6d/jXQG5/8p3WC9qdITMk4n3ci30RnbGmU9QFLdg9YSTifdm/DTJvP9JM9XtsvLD4E9JG1e8vPrRMSVseGTOqpfVwJI+jtJs5VudN+a1A3sl/lqAKQbYN8m6flK93B8kNQ9pPL0rO8D/xMRJ1YVYTXpCtSc/KocPI6QDs4qN5CfPd5tLbPdpIbWboXyQbp58iJSF4qZhWn/SjqjOici1uT/xRdL2kzpJv8Pkq4GVrarU/Xva8CTSDefV7bv9022r9LF4SWkA8XKNtxO6vL0hTz9XOD9krZRuuLxAdJJD0gHaVLqv/4EpW4kryUfKGn9gw9mtrtBEfHJRuUvzNqofNWuAf5W+Yy/pN1J9yhVHuKwvaRn5v3nK0lPi1nXvSrvYzYn/a4/sbB/LLOt55Aa0Ifl7f1Gk++r0gXoXOAdSnlAnk66klhve38J7KD0KFApPenpUNZ/P9soPVZWkvYG/i/pTHple1+Ut/HJkhaQGrtnF6aHpANa3N51IuKVDbaz0jh5CPhv4OOSnqL0tKtXUf+kyTXAkZKm5br4JlJje0WzbZH0fwr7tmeS9uOjVb8h+5P+381a5gbAxPIg8H+An0t6iHTg/yvSjw7Af5J2UD8FbiH10f3nGsup5eOkA9pbSGe3v03h5lClRFpnNPj8scBZpLPQY6RL86NsfBb9m6Sd/L2kg6zq5+HfQLoMXnm9jXSGcQ/SwdolpB1ztcWSHiR1Mfow6QDxbTXma0lE/Iz0GNODgJsl3QucCXwvT3+UdObuD6QDqodJ23wadR6LV8MM0pWGjshnEH9cq/tB1XyR5yvTPapyc9/lpB/EXtmGFN8HSU8yWguse5Z2RPwn6eDk56Sub4+yvk/xEaTL82+rPquZY/Gnyov1XbfujIjKE2lmkJ7a0XMRcVdV+QDuzmdPH62athp4vDDfk0gH0vcAfyQ1bg6J9U9T6kj9y2dsP0qJ+20iPa2puA1rgPsideOC9AjJxaTv/Fek//8v588+QLqZ9X2kbmnL8jyVKzwzSHXhj+W2rCV1ywcg6Qblqx0R8RPSwwu+nfdVF5Luu/pBnn0kL+dB0lXPoyM9Ta3iK6T9zOtJ+7iHWf8kmba2Ndft00kH3S2L9KSzk4Er8vpuY8OD9ksl/UuedyXpPobTgQdIJx4uZP3jmbcndf15iNQgObEQC/K23UHqP/8S4GV5v1u5l2eMFK9u+UfSvUR3kU6uvbvyfWj9Fa7KlZHPkBo2y0hddd4HvDrSE5cabgvpakBl3/Yr0r7r9ZVCKD12eWfq39dlVpOaHAuY1STp3cDrIqKVm22HmqSPkG6YfhzYJjZ+sk8ry9iUdIbmj8Bbmx2E58+cBfy/iPh+u+vrFqWn1dxJOnt1ckTUe8b3zqQf7b1a2dZhla9UXUfqfvZ4v8vTSYNY/zop/1//OSK+3HTmITeZthVA0huBF0bEh/pdlm6TtBBYGRH1nsJnVpMbANaSfJbh+aQzgjuQzmT9R0Sc1s9yDROlJ+u8l3Tj52+azW9mZmbWDW4AWEuUEnJdQkpocj+pD/2HCt0gzMzMzGwIuAFgZmZmZjaJ+CZgMzMzM7NJ5InNZxlOW221VcyaNavfxRg6Dz30EE95SvWj660Vjl05jls5jls5jlt5jl05jls5rcbt1ltv5e67726Y+6ef2nyc8vcj4hXNZxu/CdsAmDZtGkuWLOl3MYbO6OgoBxxwQL+LMZQcu3Ict3Ict3Ict/Icu3Ict3JajdvcuXO7X5jeaTcrdWl97QIkaY2kZZKuk3StpL/pZ3nMzMzMzCa6fl8BeDgi5gDkLKmfImW0MzMzMzOzLhikm4CfRsrWWElB/xNJF0j6raRPSzpa0i8kLc8pw83MzMzMrE19fQyopDWkVN2bA88BDoqIpZIOIKW13gm4F7gZOCsiPirpvcB2EXFcjeW9E3gnwNZbbz1ywQUX9GArJpaxsTGmTJnS72IMJceuHMetHMetHMetPMeuHMetnFbjtmDBApYsWTJRbgJeGhE9ualhkLoA7QOcK2mXPO2aiLgjT1sJ/CCPXw4cWGthEXEmcCbA7NmzwzfdtM83K5Xn2JXjuJXjuJXjuJXn2JXjuJXjuHXXwHQBioirSXc/b51HPVqYvLYwvJb+N1zMzMzMzIbSwDQAJL0A2AS4p99lMTMzMzObqPp9Jn0LScvyewFviYg10sB25TIzMzMzG2p9bQBExCZ1xo8Co4XhA+pNMzMzMzOz1nW9C5CkIyRF7uJTPe08STMlHSfpdd0ui5mZmZnZZNeLewBeD1wF1DrA3y4ibiUl/7qyB2UxMzMzM5vUutoAkDQF2Bd4B4UGgKRvSPo1MDvfA3AwcImkY/L0WyV9UtLVkpZI2kPS9yWtlPSubpbZzMzMzGwi62oiMElvBA6MiHdI+hlwbERcm6cdBcwALgQ+GxFHFj53K/CZiPiSpFOBl5AaEpsDN0TEs+qsz4nAxskJS8pz7Mpx3Mpx3Mpx3Mpz7Mpx3MpxIrDu6vZNwK8HTsvvz8/D1+bh3YEfAbsCy2p8dlH+uxyYEhEPAg9KekTSVhFxf/UHnAhs/Jx4ozzHrhzHrRzHrRzHrTzHrhzHrRzHrbu61gCQ9EzgIGCX3PrZBAhJo8AngO2AQ0mJvx6S9NKIKGb4LSb+qk4K1u/Hl5qZmZmZDaVu3gPwGuDciHheRMyMiBnALcADwAjwq4jYFbgB2L3q4N/MzMzMzLqgmw2A1wMXVY27EHgDqfvPdZI2AzaNiAe6WI71Fi/uyWrMzMzMzAZV17rSFJN3FcadXhhckv/uV2O+mYX3ZwNn15pmZmZmZmbt6UUegKYaJQszMzMzM7POGYgGAI2ThZmZmZmZWYf0vQFQK1mYpAMk/UTSBZJ+K+nTko6W9AtJyyVt39dCm5mZmZkNqa4mAmupADWShQFPA74D7ATcC9wMnBURH5X0XmC7iDiuxrIaJwJbvRq23LJ7GzMBOGFJeY5dOY5bOY5bOY5beY5dOY5bOU4E1l2D8Dz9WsnCLgGuiYg7ACStBH6Q51kO1HxkaNNEYIsXg5NKNOTEG+U5duU4buU4buU4buU5duU4buU4bt3V1wZAvWRhwPfYOPlXMTHYIDRczMzMzMy6Lh8z/zgPPhtYA/w5D+8GXEc6Pr4ReEtE/KXR8vp9D0C9ZGEv7nO5zMzMzMwGQkTcExFzImIOcAZwamH4ofx+F+Ax4F3NltfvBkCjZGFmZmZmZta6K4FZzWbqa1eaBsnCTq83X0SMAqOlVjh/fqmPmZmZmZl12VRJSwrDZ+b7W1si6YnAK4HLms3b1QaApGnAqcDewH2kyxInR8RFhXlGgVcAnwbOj4j/7WaZzMzMzMwG0N0lnwK0haRl+f2VwFebfaBrDQBJIj3K85yIeEMe9zzgsMI8WwBrIuIRSXsCx3erPGZmZmZmE9DD+V6AlnXzHoCDgMci4ozKiIi4LSI+DyDpCtIjPXeRtBzYFbhG0rw8fUzSZyQtlfQjSXtJGpV0s6TDaqzPzMzMzMya6FoiMEnvISXsel+DeU4AVgL3AIdExPGFaQHMi4hLJV0EPAU4BNiZdFVhTo3lNU4EZk05YUl5jl05jls5jls5jlt5jl05jls5TgTWcJknAWMRcUoeHouItipZz24ClvQF0uM9H4uIPfPo3UlP/ZkHLKv6yGOsv4lhOfBoRDyerxbMrLWOponArCkn3ijPsSvHcSvHcSvHcSvPsSvHcSvHcasvIk6qGm67hdnNBsANwKsrAxHxT5KmAkskHQMcS3pM0U7AtsCdkuZFxNH5I4/H+ssT6xKBRcTafJezmZmZmZm1qZv3AFwObC7p3YVxTwaIiLOAg4HLc1eeFRGxU+Hg38zMzMzMuqBrDYB89v5wYH9Jt0j6BXAO8ME8y37AVZJmALd1qxxmZmZmZrZeV7vSRMQdwOvqTPt2YfDIGtOnFN6fVG+aDanFizcc7kGStvRk2iQWLXJiuA6oxDQWLUojev09dukhBjbxVOrNKaecwoEHHtiTuuO6amUV6w70pv60U1+ry9eq0tvR6LdlxYpyy5zkutkFqClJ0yR9Mz/ac6mkqyUd0c8ymZmZmZlNZH1rABQShf00Ip4fESOkqwXT+1UmMzMzM7OJrp9P06mZKAz4vKS3ku4f2ATYBVgIbAa8ifQ0oHkRcW+vC2xmZmZmNuz62QXohcC1DabvArwB2Av4BPCXiNgduBp4c/eLZ2ZmZmY28XQtE3DTFVdlCi4mCgO+AOwbEX+fp/0e2Cci/ijp7cCLIuK4Gst0JuBx6lnGwtWrNxzecsuur3Lp0qXr3o/MmtXxdU7GbI+VmI7MmpVGlIhpu3Hb4HscGWl7fRPFZKxv41GpN9OnT2fVqlU9qTsTra66zpVTJm7FugO9qT/t1Nfq8rWqne3YIG4NbvRdsGABS+6/f1JlAu6EfjYAXgL8a0TsXxg3FVgCnATMjYhj8/hb8/DduXvQumn1zJ49O2666aYulX7i6lnmvQn4FKDJmLWwE08BajdufrJKMhnr23gUnwK0YMGCgXuqyjBwnSunTNz8FKCquDX4bZl75ZVuAJTQzy5AdROFmZmZmZlZd/StAdBCojAzMzMzM+uwfj4FqGGiMODswnwzC+/PLk6zIdWHJFwT4RL8oOlHTP09WhmVejM6OtqzOuS6amUN+r615+Wr7jZcNLcnPWYmnK5fAZC0RtKywmtm1fRRSZtLOk3S3t0uj5mZmZnZZNaLKwAPR8ScWhMkbQGsiYhHJO0JHN+D8piZmZmZTVr9zAR8BbAc2EXScmBX4BpJ8/L0MUmfkbRU0o8k7ZWvFtws6bB+ldvMzMzMbJj14grAFpKW5fe3RMQRABFxoKQTgJXAPcAhEVG8AvAUYDQiPijpIuDfgZcBO5NuFl7Ug7KbmZmZmU0oXc8DIGksImpmwJB0HvARYB5wb0R8ozDtUWDziAhJHwcejYhPSHpCnnerGstzIrBxcqKX8hy7chy3chy3chy38hy7chy3clqN24IFC1iyZInzALSpL08BknQMcCwwC9gJ2Ba4U9K8iDg6z/Z4rG+drAUeBYiItZJqljsizgTOhJQIzAlL2udEL+U5duU4buU4buU4buU5duU4buU4bt3Vl3sAIuIs4GDg8nyD8IqI2Klw8G9mZmZmZl3Qz0zA+wFXSZoB3NbHcpiZmZmZTRpd7wJUr/9/RHy7MHhko89FxEmtLNPM6qhOvNYoqYpZvxXrq+uqmVnH9TUTsJmZmZnZRDUyaxZLTj21pXlVfbKuiwaiASBpDSknQMXhEXFrn4pjZmZmZjZhDUQDgAbZgs3MzMzMrHMGpQGwEUlvBQ4HNgF2ARYCmwFvIj0SdF5E3Nuv8pmZmZmZDaOuJwJrqRAbdgG6JSKOyA2AjwC7A5sDK4APRsQZkk4FbouI06qW40Rg4+SEJeUNdOxWrNhweNas/pSjhoGO2wCb0HEr1tcO19UJHbcuc+zKcdzKmSiJwObusEO0cQ/AxE4EVkO9LkBXRMSDwIOSVgOVx0EsB15UPbMTgY2fE2+UN9CxW7hww+EBerLKQMdtgE3ouBXra4fr6oSOW5c5duU4buU4bt3VzzwArXi08H5tYXgtg9N4MTMzMzMbGoPeADAzMzMzsw7yWXSzyWCAuvwMrfnzexvHXq9vkEzW7e6UftRV8PdmNkQGogFQK7NvRJwNnF0YnllvmpmZmZmZtabvDYAaScDOj4hP96s8ZmZmZmYTWd8bADgJmJmZmZlZzwzsTcCSbpX0SUlXS1oiaQ9J35e0UtK7+l0+MzMzM7Nh1PdEYDW6AH0qIr4l6VbgMxHxpZz46yXAvqSkYDdExLNqLMuJwMbJCUvKc+zKGZq4rVjR2wRqTdY3NHEbMJMibl2qq3VjV0ncNkAJBgfJpKhzXeBEYN016F2AFuW/y4EphaRgj0jaKiLuL87sRGDj58Qb5Tl25QxN3BYu7O1TTpqsb2jiNmAmRdy6VFfrxq6SuM1PAappUtS5LnDcumtguwBlxcRf1UnBBqHxYmZmZmY2VAa9AWBmZmZmZh00CGfRt5C0rDB8WUSc2K/CmJnV1OvuDe5OYWW5rppZE31vAETEJnXGzyy8P5s6ScHMzMzMzKx1XesCJGmNpGWSbpB0naT3S9pofZJGJW0u6TRJe3erPGZmZmZm1t17AB6OiDkR8ULgZcA84KPFGSRtAayJiEeAPYGlXSyPmZmZmdmk15ObgCPiLtLz+Y+VJABJV5Ae77mLpOXArsA1kubl6WOSPiNpqaQfSdorXy24WdJhvSi3mZmZmdlE07VEYJLGImJK1bj7gBdExJ15+ARgJXAPcEhEHF+YN4B5EXGppIuApwCHADsD59TKHeBEYOPnhCXlOXblOG7lOG7lOG7lOXblOG7lOBFYd/X6JuDqL2h34EJS96BlVdMeAy7L75cDj0bE4/lqwcxaC3cisPFz4o3yHLtyHLdyHLdyHLfyHLtyHLdyHLeNSVpDOiauOJx0THwFcFhELM7zXQycEhGj9ZbVswaApOcDa4C7JB0DHAvMAnYCtgXulDQvIo7OH3k81l+eWJcILCLWSur704vMzMzMzHro4eoeMJJmAquADwMtP5O3J/cASNoaOAP4j0jOAg4GLs8bsiIidioc/JuZmZmZWXPXAaslvazVD3TzTHolwdemwF+BrwGfK0zfD7hK0gzgti6Ww8zMzMxs2BWT594SEUcUpv17fv2wlQV1rQFQL8FXYfq3C4NH1pg+pfD+pHrTbAjNn+/MkRNBr7/H+fPTX9cdM7PO8b51kEyVtKQwfGa+v7Vioy5AFRFxpSQk/W0rK+prX/rCzQyVqwTnAKdFxNp+lsvMzMzMrMfuHudTgD5Buhfgr81m7Mk9AA00TRZmZmZmZmaNRcQPgKcDuzWbt98NgHWqk4VJequk70haLOkWScdKer+kX0r6X0nP6HeZzczMzMwGyCeA6c1m6loisFY0ShYGvBL4CClXwObACuCDEXGGpFOB2yLitKrPOhHYOPUkYcmKFTBrVnfX0QeTLtlLh77HluO2YkX6OwHrThmTrr51iONWnmNXzsDHbUD3rU4E1l2D+Dz94pd4RUQ8CDwoaTXrn2+6HHhR9QedCGz8epJ4Y+HCCXmz0aRLWtKh77HluC1cmP5OwLpTxqSrbx3iuJXn2JUz8HEb0H3rwMdtyA1MFyDYMFlYHvVoYfLawvBaBrPxYmZmZmY20AamAVCdLKzf5TEzMzMzm4j6fRa9WbIwMzMzMzProL42ABolC4uIs4GzC8Mz602zITNg/QytpF5/j643Zmad533rpNT1LkCSni3pfEkrJf1a0vck7ViYfp6kmZKOk/S6bpfHzMzMzGwy62oDQJKAi4DRiNg+InYG/gWYVphtu4i4FdgfuLKb5TEzMzMzm+y6fQXgQODxiDijMiIilkXElZK+IenXwOx8H8DBwCWSjgGQdKukT0q6WtISSXtI+n6+kvCuLpfbzMzMzGxC6vY9ALsAS2tNiIijJR0FzAAuBD4bEUdWzfaHiNgnJ/46G9iXlBTsBtITgzZQlQiM0dHRDm3G5DE2Nua4leTYleO4leO4leO4lefYleO4leO4dVe/nwK0O/AjYFdgWY3pi/Lf5cCUQlKwRyRtFRH3F2d2IrDxc+KN8hy7chy3chy3chy38hy7chy3chy37up2A+AG4DXVIyXNAz4JbAccCmwNPCTppRFxYGHWYuKv6qRg/W68mJmZmZkNnYYH0ZIWA3WTckXEYU2WfznwSUl/HxFfycvcE3gIGAF+GhH7SvoxcEREPNBW6c3MzMzMrC3NzqKfkv/+HfBs4Ot5+PXArc0WHhEh6QjgNEknAo/kzx1H6v5znaTNgE198G9mZmZm1n0NGwAR8RMASf8WEfsVJi2W9NNWVhARtwNH1Zm8JP/dr3pCo8RfxWk2pObP33C414lI5s938pNOqnyfjqlZZ3gfZWZd1OpjQLeW9PzKgKTtSP32x61ZojAzMzMzM+ucVm+kPQ4YlXRzHp5JftzmeBQShZ0TEa/L4+aQEoX9drzLNzMzMzOzDTVtAEh6ArAlsAPwgjz6NxHxaP1PtaxmojBJB0j6CXAnMAf4b9KjQN8LbAEcHhErO7B+MzMzM7NJpWkXoIhYCxwbEY9GxHX51YmDf2iQKAzYjXTAvyvwJmDHiNgLOAv45w6t38zMzMxsUmm1C9APJS0AvkV6hCcAEXFvV0qVXBMRdwBIWgn8II9fTrpysBFnAh6/nmXee9WrNhzu9Xf1qld1fJ2TOmth5fsssf2TOm7j4LiVMzRx68I+aryGJnYDxnErx3HrrlYbAG/Pf/+pMC6A59eYtx01E4Vl1Ym/iknBapbbmYDHr2eZ9xYu3HC410+7WLiw4+uc1FkLK99niZhO6riNg+NWztDErQv7qPEamtgNGMetHMetu1p6ClBEbFfjNd6Df0iJwp4k6e8rI3KisP07sGwzMzMzM6vS0hUASZsC72b98/pHgS9HxOPjWXmDRGHfGc9yzczMzMystla7AH0J2BT4Yh5+Ux53zHgL0CBR2FcK8xxQeD9KaoDYMOv3pe1+r3+icTzNOsv/U2bWRa02APaMiN0Kw5dLuq4bBapF0hrSzb8C1pCeSvSzXq3fzMzMzKxtf/4znHlmv0uxkVYzAa+RtH1lIGcFXtOdItX0cETMyY2QDwGf6uG6zczMzMwmjFavABwPXJEzAQt4HvC2rpWqsacB9/Vp3WZmZmZmQ62lBkBE/FjSDsBsUgOgU5mAW7WFpGXA5sBzgIN6uG4zMzMzswlDEdHajNLfADMpNBoi4tzuFGujdY9FxJT8fh9SNuBdoqrwVYnARi644IJeFG9CGRsbY8qUKf0uxlBy7Mpx3Mpx3Mpx3Mpz7Mpx3MppNW4LFixgyZIl6kGRSpm71VaxZL/9ms8IaPHipRExt8tFAlp/DOjXgO2BZazv+x9ATxoARRFxtaSpwNbAXVXTnAhsnJx4ozzHrhzHrRzHrRzHrTzHrhzHrRzHrbtavQdgLrBz9Rn3fpD0AmAT4J5+l8XMzMzMbNi02gD4FfBs4I4ulqWRyj0AkO5BeEtE9PIpRGZmZmZmE0LDx4BKWixpETAV+LWk70taVHn1pogQEZvkx4DOiYjdIuKS0gubPx9JA/Vi/vzSm1N6nW0ssxPr68c6mT9/w1eDdXYirkuXLm24je1sf6djWp1UqPT6miQnKhPTpUuX9qXelNGt+l9Xg/1Vs/rW8bK0sNx+fI+9rKvd2sZa3zOLF8PixV2pOw1jNo4EZJ2MTyfqa7f+X9utO832cVLvf6/GVV/Ho2o7G5WvGLd1ddMJ8jqm2RWARcA04Mqq8fsDf+xKiczMzMzMrGuaJQJ7FbAoIn5SfAHfAw7vZEEkHSEplPr4V087T9JMScdJel0n12tmZmZmNpk0awDMjIjrq0dGxBLSI0E76fXAVUCtA/ztIuJW0pWH6qsRZmZmZmbWomYNgM0bTNuiU4WQNAXYF3gHhQaApG9I+jUwW+km4IOBSyQd06l1m5mZmZlNJg0TgUk6D7g8Ir5SNf4dwMER8dqOFEJ6I3BgRLxD0s+AYyPi2jztKGAGcCHw2Yg4ssFymicCW7GCpatXd6LYHTOy5ZYwa1apz5a98XRkZKTm+LGxMW666aa6847nRtd666y13E6sc2TLLTccURXj4nKry1ZmndOnT2fatGltf67s+qD1mI7MmgWFeJReX9VyGq6zxZhOnz6dVatW1V9nl+pNo+W2ur52lFlfo/1Vs/rWqKylytLCchvp+f9/nbpaSS7U6f//WstptMwN5q3xPY/k/dXSFSs6Xnfqqayz3v94s8RM4/mf60Z97cXvVSt1p9k+Dnr/e1VrOY2WOZ59xgZWrNhwPQ3qaDFuI8V4VMXKicDKadYAmAZcBDwGVGrDXGAz4IiI+FNHCiFdApwWET+U9B5gRkQcn6d9CvgR8GTgRRHxiVaWOXv27Kg+kAXSXecXX9yJYndMHHpo6Tvby96dX+97Hx0d5cADD6w773ieBtCkrnV8nXHooRuOqPEknHplK7POU045hQ984ANtf67s+qD1mMaiRRs8WaL0+qqW03CdLcb0lFNOYcGCBfXX2aV6UyatSbfqf10N9lfN6lujso4npUu362r1vJ2uq5XkQp3+/6+1nEbL3GDeGt9zLEoP2tNhh3W87tRTWWe9//FmiZnG8z/Xjfrai9+rVupOs30c9P73qtZyGi2zY2mgqupWozpajNu6ulljGXPnznUDoISGTwGKiDuBv5F0ILBLHn1JRFzeqQJIeiZwELCLpCAl+QpJo8AngO2AQ0mZfx+S9NKIOLDe8szMzMzMrL6WEoFFxBXAFV0qw2uAcyPiHyojJP0EeAAYAX4aEftK+jHpqsMDXSqHmZmZmdmE12om4G56PfDpqnEXAm8AHgauk7QZsGlHDv4XL6ZDF7IGQscuy7W4zG6sb6Ksc3R0tCtl6cYyBymmo6OjpcvT623sVtzqarC/albf+vEdd2OZg1RXu7W+Rt9z6bL04bduPHEbpv/XduvOePZxZdc5Xl3b11V1bWq0lk7EzerrewMgIg6oMe70wuCS/Le1DlRmZmZmZlZXs8eADoxGicLMzMzMzKw1Q9MAoHGiMDMzMzMza8FQNADqJQozMzMzM7P29P0egBYdDlwWEb+VdK+kPSqJwoqqEoGN66bMyWpsbMxxK8mxK8dxK8dxK8dxK8+xK8dxK8dx665haQC8Hjgtvz8/D2/UAIiIM4EzISUCa5SwxGprlujF6nPsynHcynHcynHcynPsynHcynHcNiZpDbC8MOpwYCbwXeBmYHPg/Ij4WLNlDXwDoEGisBPCz4cyMzMzs8nh4YiYUxwhaSZwZUQcKukpwDJJF0fE0kYLGoZ7ACqJwp4XETMjYgZwC/DiPpfLzMzMzGwgRMRDwFJg+2bzDkMD4PXARVXjKonCzMzMzMwmgy0kLcuv6mPjSq+ZvYEbmi1o4LsAtZAozMzMzMZr/vyNMrV2fX0VvVyv2eCaKmlJYfjMfH9rxUZdgLK/lfRLYC3w6YgY/AaApGnAqaQWy33AY8DJEXFRYZ5R4BXAp0k3N/xvH4pqZmZmZtYtd0fE3BKfuzIiDm3nA33tAiRJwHeAn0bE8yNihPSc/+mFebYA1kTEI8CepL5NZmZmZmZWQr/vATgIeCwizqiMiIjbIuLzAJKuID3uaBdJy4FdgWskzetLac3MzMzMhpz6+SRNSe8BtouI9zWY5wRgJXAPcEhEHN9g3mIisJELLrigwyWe+MbGxpgyZUq/izGUHLtyHLdyHLdyHLcGVqyAWbPqTu547FasWP++wXqHnetcOa3GbcGCBSxZskQ9KFIpc7faKpbst19L82rx4qUluwC1re/3ABRJ+gLp8Z6PRcSeefTupKf+zAOWNfq8E4GNnxNvlOfYleO4leO4leO4NbBwYcObcTseu4UL17+fwDcBu86V47h1V78bADcAr64MRMQ/SZoKLJF0DHAsMAvYCdgWuFPSvIg4ui+lNTMzMzMbcv2+B+ByYHNJ7y6MezJARJwFHAxcnh95tCIidvLBv5mZmZlZeX1tAES6AeFwYH9Jt0j6BXAO8ME8y37AVZJmALf1p5RmZmZmZhNHv7sAERF3kB79WWvatwuDR/amRGZmZpNQr/vhT+B+/2aDrt9dgFoiaZqkb0q6WdJSSVdLOqLf5TIzMzMzGzYD3wBoJVmYmZmZmZm1pu9dgFpQM1kY8Pn+FcnMzMzMbDgNQwPghcC1rcxYlQiM0dHRLhZrYhobG3PcSnLsynHcynHcynHcynPsynHcynHcumsYGgAbqJMsDHAisE5w4o3yHLtyHLdyHLdyHLfyHLtyHLdyHLfuGvh7AEjJwvaoDETEPwEvAbbuW4nMzMzMzIbUMDQA6iYLMzMzMzOz9gx8A6CFZGFmZmZmZtaiobgHoFGyMDMzMzMza93AXAGQtEbSssJrZtX0UUmbSzpN0t59KqaZmZmZ2VAbpCsAD0fEnFoTJG0BrImIRyTtCRzf05KZmZmZmU0QA3MFoB5JVwDLgV0kLQd2Ba6RNK+/JTMzMzMzGz5K99j2n6Q1pAN9gFsi4ojCtBOAlcA9wCERUfMKQFUisJELLrigu4WegMbGxpgyZUq/izGUHLtyHLdyHLdyHLfyHLtyHLdyWo3bggULWLJkiXpQpFLmbrVVLNlvv5bm1eLFSyNibpeLBAxJFyBgd+BCYB6wrN4CnAhs/Jx4ozzHrhzHrRzHrRzHrTzHrhzHrRzHrbsGqQGwEUnHAMcCs4CdgG2BOyXNi4ij+1o4MzMzM7MhNND3AETEWcDBwOX56sCKiNjJB/9mZmZmZuUMdAMg2w+4StIM4LZ+F8bMzMzMbJgNTBegiKh5p0dEfLsweGSry/vLX/6CtOE9IXHoobB4cbkCdtPixeiww0p9tBc3cRfjOJ71VZYTixbB/PndX2f1d91gnRvVlZLrrF5Oq3pyM34xHk3iX9f8+ejii4Hm32OnYxqLFq0rQyvrHJQHHHRTvfrW7nfTjmGsq9C43N36/291na3sEyeCjeJT+Z+GrtTXXv8+jmudffy9anffOp51trOdE8asWVCs642MY9/croFpADRT9ZQggMMj4tY+FcfMzMzMbCgNTQOAxk8JMjMzMzOzFgzDPQBmZmZmZtYhw3QFYAtJy/L7DRKFmZmZmZlZawYmE3Azksbq3ShcmGddJuCpU6eOnHjiiRtMH9lyy3QzxqBZvZqlK1aU+ujIyEhHi1Ir897SpUs7sr7KckZmzYItt2xp3nGtc/XqDYcbrLO4vrLrHBsb46abbmr7c2XX17ZiPJrEv64VK1ial9Pse2w1ps2yPW5Qb6DldfYkpn3UqL61+920YxjrKqwvd7N9XHHedrWznA3qagv7xEEw3oy2G8Wn+Hvchfrai7raynfeUtx6/HtVXE67+9bxrLOd7ZwwmYDnzo0lS5a0NK+knmUCnlANgKIZM2bEqlWrNhjnpwA1Vyvznp8C1JrR0VEOPPDAtj9Xdn1tG9CnADXL9uinANXWqL75KUDUfQpQs31ccd52TfSnAI03M+tkfQpQS3HzU4A20mp9mzt3rhsAJfgeADMzMzOzScQNADMzMzOzSWRobgJup/sPwJOf/OTh6QIwf/5Al7VTZWtnOR1ZZxuX1PuxjT3XiS4GixfT6hYObb0ZImW3d+Dj5Lo6IU3E+tqxsg3471U/ttO6a2gaADUSgZ0fEZ/uV3nMzMzMzIbR0DQAcCIwMzMzM7Nx8z0AZmZmZmaTyDA1ALaQtKzwem2/C2RmZmZmNmwmVB6AYiKwrbfeeuSCCy7oSdkmkvEmepnMHLtyHLdyHLdyHLfyHLtyHLdynAisu4bpHoCmIuJM4EyA2bNnx3gSlkxW4030Mpk5duU4buU4buU4buU5duU4buU4bt01TF2AzMzMzMxsnIbpCsAWkpYVhi+LiBP7VRgzMzMzs2E0NFcAImKTiJhTePngfxwk1XwtXbq030WzNtT7HqWB7Q45MBrFrmY8Fy/u/frGuc5B4rpaXk/rzvz5DX8fJkNdBddXm/iGpgFgZmZmZmbj1/cGgKQ1+bGeN0i6TtL7JW1ULkmjkjaXdJqkvftRVjMzMzOzYdf3BgA5w29EvBB4GTAP+GhxBklbAGsi4hFgT8D9VMzMzMzMShiEBsA6EXEX6Tn+xyp3tJN0BbAc2EXScmBX4BpJ8/pXUjMzMzOz4dT3RGC1EnxJug94QUTcmYdPAFYC9wCHRMTxdZblRGAtqnez7/Tp05k2bVqPSzMx9CPZS6ObtkdGRnpYkvL6lSSn3RveR2bNgi237O36oO46hy250KDU1WGLG3S+7jS0YgVLV6+uOWn69OmsWrWqs+sbUJ2sr8NY5waBE4F1WUT09QWM1Rh3PzCtMHwesD3wz8DRrSx3xx13DKsPqPk65ZRT+l20oXXFFVf0fJ31vsf0rz0c+hG3iMaxqxnPRYt6v74G6+xX3MoalLo6bHGL6HzdaejQQxv+PnR8fQOqk/V1GOvcIGg1biMjIxF9PpZt9MrlawmwpN5ygGcCy/LrT8AfC8MBLCzMuwA4qVG5Bi4PgKTnA2uAuyQdAxwLzAJ2ArYF7pQ0LyKO7mMxzczMzMx6IiLuAeYASDqJdAL9lDz8CPB3kj4VEXe3sryBugdA0tbAGcB/5MbQWcDBwOURMQdYERE7+eDfzMzMzAyAvwJnAu9r9QODcAWgkuF3U9IGfA34XGH6fsBVkmYAt/W+eGZmZmZmXTdVUvGGgTMj4swWP/sF4HpJJ7cyc98bABGxSZPp3y4MHjnuFS5eDPPnj3sxwy7q3Pw9Ojra24LYuNT7Hq25Xsdusn9Xk337x6OnsVu8mHprGx0dnTTf42TZThs4d0fJm4Aj4gFJ5wLvAR5uNv9AdQGqpdVEYWZmZmZmk9hpwDuApzSbcRgOpJsmCjMzMzMzm8wi4l7gAlIjoKFhaACsEzUShZmZmZmZGQALganNZup7IrBmWkkUVhjfPBHY6tUTKllJpzlhSXmOXTmOWzmOWzmOW3mOXTmOWzlOBNZdfb8JuKSaX3S+U/pMgNmzZ8cBBxyw8UyLF0Ot8Qakm7xqxs2acuzKcdzKcdzKcdzKc+zKcdzKcdy6a6i6AMGGicL6XRYzMzMzs2EzVA2A6kRh/S6PmZmZmdmwGYYuQM0ShZmZmZmZWYsG/gpARGxSeQxoROwWEadExNrSC3QSMDOb6Lyfmxj8PZpZlwxEA0DSsyWdL2mlpF9L+p6kHQvTz5M0U9Jxkl7Xz7KamZmZmQ2zvjcA8vP8LwJGI2L7iNgZ+BdgWmG27SLiVmB/4Mrel9LMzMzMbGLoewMAOBB4PCLOqIyIiGURcaWkb0j6NTA73wdwMHCJpGP6VFYzMzMzs6HW90Rgkt5DOsP/vjrTjwJmABcCn42IIxssq3kiMGvICUvKc+zKcdzKaRi3FStg1qzeFmhIDFV9G7DvcahiN0Act3KcCKy7huEpQLsDPwJ2BZY1mrGlRGDWkBNvlOfYleO4ldMwbgsXpqSHtpGhqm8D9j0OVewGiONWjuPWXYPQALgBeE31SEnzgE8C2wGHAlsDD0l6aUQc2NsimpmZmZlNDINwD8DlwJMk/X1lhKQ9gYeAEeBXEbErqaGwuw/+zczMzMzK63sDIGf0PQJ4WX4M6A3AScDtpO4/10naDNg0Ih7oX0nNzMzMzIbfIHQBIiJuB46qM7ly58R+PSqOmdlwG6B+4zYO/h7NrEv6fgWgVc2ShZmZmZmZWXND0QBoMVmYmZmZmZk1MRBdgFpQM1lY/4pjZmZmZjac+p4IrBXNkoUV5nMisHFywpLyHLtyHLdyHLdyHLfyHLtyHLdynAisu4blCkBLnAhs/Jx4ozzHrhzHrRzHrRzHrTzHrhzHrRzHrbuG4h4AUg6AkX4XwszMzMxs2A1LA6BmsjBJ+/exTGZmZmZmQ2coGgBNkoWZmZmZmVmLhuIm4DIkPQjc1O9yDKGpwN39LsSQcuzKcdzKcdzKcdzKc+zKcdzKaTVuz4uIrbtdmLIkXUballbcHRGv6GZ5KiZyA2BJr+6knkgct/Icu3Ict3Ict3Ict/Icu3Ict3Ict+4aii5AZmZmZmbWGW4AmJmZmZlNIhO5AXBmvwswpBy38hy7chy3chy3chy38hy7chy3chy3Lpqw9wCYmZmZmdnGJvIVADMzMzMzq+IGgJmZmZnZJDLhGgCSXiHpJkkrJJ3Y7/IMIkm3SlouaZmkJXncMyT9UNLv8t+nF+b/UI7nTZJe3r+S95ak/5R0l6RfFca1HSdJIzneKySdLkm93pZeqhO3kyT9Mde5ZZLmFaY5boCkGZKukHSjpBskvTePd51roEHcXOeakLS5pF9Iui7H7mN5vOtcAw3i5jrXAkmbSPqlpIvzsOtbP0TEhHkBmwArgecDmwHXATv3u1yD9gJuBaZWjTsZODG/PxH4TH6/c47jk4Dtcnw36fc29ChO+wF7AL8aT5yAXwD7AAIuBV7Z723rQ9xOAhbUmNdxWx+L5wB75PdPBX6b4+M6Vy5urnPNYydgSn6/KfBzYG/XudJxc51rLX7vB74JXJyHXd/68JpoVwD2AlZExM0R8RhwPvCqPpdpWLwKOCe/Pwc4vDD+/Ih4NCJuAVaQ4jzhRcRPgXurRrcVJ0nPAZ4WEVdH2mudW/jMhFQnbvU4bllE3BER1+b3DwI3AtvgOtdQg7jV47hlkYzlwU3zK3Cda6hB3Opx3DJJ04FDgLMKo13f+mCiNQC2Af5QGF5F4x+CySqAH0haKumdedy0iLgD0g8q8Kw83jHdULtx2ia/rx4/GR0r6XqlLkKVS7yOWw2SZgK7k84sus61qCpu4DrXVO6OsQy4C/hhRLjOtaBO3MB1rpnTgBOAtYVxrm99MNEaALX6gPk5pxvbNyL2AF4J/JOk/RrM65i2pl6cHL/kS8D2wBzgDmBhHu+4VZE0BbgQOC4iHmg0a41xkzZ2NeLmOteCiFgTEXOA6aSzq7s0mN2xy+rEzXWuAUmHAndFxNJWP1Jj3KSLW7dMtAbAKmBGYXg6cHufyjKwIuL2/Pcu4CJSl54782U18t+78uyO6YbajdOq/L56/KQSEXfmH8y1wFdY343McSuQtCnpIPYbEfHfebTrXBO14uY6156IuB8YBV6B61zLinFznWtqX+AwSbeSumgfJOnruL71xURrAFwD7CBpO0mbAa8DFvW5TANF0lMkPbXyHjgY+BUpTm/Js70F+G5+vwh4naQnSdoO2IF0881k1Vac8uXMByXtnZ9S8ObCZyaNys49O4JU58BxWydv51eBGyPic4VJrnMN1Iub61xzkraWtFV+vwXwUuA3uM41VC9urnONRcSHImJ6RMwkHZ9dHhFvxPWtP7p5h3E/XsA80lMgVgIf7nd5Bu1FekLSdfl1QyVGwDOBHwO/y3+fUfjMh3M8b2IS3WkPnEe6jPs46YzDO8rECZhL+iFYCfwHOQP3RH3VidvXgOXA9aSd+nMct43i9mLSZezrgWX5Nc91rnTcXOeax+5FwC9zjH4F/Gse7zpXLm6uc63H8ADWPwXI9a0PL+VAmpmZmZnZJDDRugCZmZmZmVkDbgCYmZmZmU0ibgCYmZmZmU0ibgCYmZmZmU0ibgCYmZmZmU0ibgCYmY2DpGdKWpZff5L0x/x+TNIXu7TO4yS9Ob9/QV7fLyVt3431tVGu8yXt0M8ymJlZc34MqJlZh0g6CRiLiFO6uI4nAtcCe0TEXyWdCGwRER+tmk+kffzabpWlRtn2B94YEX/fq3WamVn7fAXAzKwLJB0g6eL8/iRJ50j6gaRbJf2dpJMlLZd0maRN83wjkn4iaamk71dlFq04CLg2H/zPA44DjpF0haSZkm7MVx6uBWZI+pKkJZJukPSxQvlulfRJSVfn6Xvkda6U9K7CfMdLukbS9ZXP54zil0i6TtKvJL02z34l8NLcSDEzswHlBoCZWW9sDxwCvAr4OnBFROwKPAwckhsBnwdeExEjwH8Cn6ixnH2BpQAR8T3gDODUiDgwT58NnBsRu0fEbaRs33NJ2Uv3l/SiwrL+EBH7kA7czwZeA+wNfBxA0sHADsBewBxgRNJ+wCuA2yNit4jYBbgsl2ctsALYbTyBMjOz7vJZGjOz3rg0Ih6XtBzYhHzQDCwHZpIO3HcBfph677AJcEeN5TwHuLHBem6LiP8tDB8l6Z2k/f1zgJ2B6/O0RYUyTImIB4EHJT0iaSvg4Pz6ZZ5vCqlBcCVwiqTPABdHxJWF9d0FPJfcSDEzs8HjBoCZWW88CuksuaTHY/0NWGtJ+2IBN+Qz8o08DGzeYPpDlTeStgMWAHtGxH2Szq767KOFMjxaGF8s06ci4svVK5E0AswDPiXpBxHx8Txp81xGMzMbUO4CZGY2GG4Ctpa0D4CkTSW9sMZ8NwKzWlzm00gNgtWSpgGvbLNM3wfeLmlKLtM2kp4l6bnAXyLi68ApwB6Fz+wI3NDmeszMrId8BcDMbABExGOSXgOcLmlL0v75NDY+mL4U+FqLy7xO0i/zMm4G/qfNMv1A0k7A1blb0hjwRlID5LOS1gKPA+8GyI2MhyOiVtclMzMbEH4MqJnZkJF0EXBCRPyu32UpkvQ+4IGI+Gq/y2JmZvW5C5CZ2fA5kXRD76C5Hzin34UwM7PGfAXAzMzMzGwS8RUAMzMzM7NJxA0AMzMzM7NJxA0AMzMzM7NJxA0AMzMzM7NJxA0AMzMzM7NJ5P8HmD2HPGVWQf8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwAAAAEYCAYAAADrm5FRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAABEhklEQVR4nO3debwcVZ338c8XBINeJSqIC2iAYESDLDf4oCiLC6ORsLgwIAqMoqMjozgT3J8RnXEH4XEZMeIMiwgiDJqAu3AVFEdyIRAR4wQII4IgW+BiWEx+zx+nOqn07b167+/79erX7a6l69SvT/etU3VO/RQRmJmZmZnZaNik1wUwMzMzM7PucQPAzMzMzGyEuAFgZmZmZjZC3AAwMzMzMxshbgCYmZmZmY0QNwDMzMzMzEaIGwA28iTNkhSSpiS9vdfl6TVJZ0haI+nWOsv9QtLu3SqXmZk1TtJjJf1O0lN7XRbrP24ADCBJL5H0S0mrJd2THYjt2QflCkkPZgfSf5T0eUmb9rA8J0r6RhOrzIyIRbn1nyjpVEn/m+3Tyuz1VrlljpG0XNJfJP1J0r9L2jKbd1q23pSkRyQ9mnv9/QbKv1+lg3BJE5KOzS0Tkv6rbJlds+kTuWkh6Q5Jj8lNe4ykOyWtTwgSEccAr65TtgXAAxFxTb39LGtgTUlaJekD9fa/bHtPlXSupNuyev8LSf8nN/9Dufefyhow60qflaQnS/qWpLuyxzmSnphbf5GkFdk6xzRZtlXZ9vLbf0Y79jt7/3/N6thfJZ1YNu/pkhZncQlJsyqs/wpJV2ffzT9IOiw372XZvPsl3aQmGsAN7PclZct/o7z8DWxjc0kXZNsKSfuVzZekz0i6O3t8VpJqlPFHuXmvkXSFpPuUvrtfk/SEBsvVrs92lqTLlH4/fifpFTWW/X5ZrB+RtLzZ95L0n1nZZ3dzX7P3erKki7K6eIukN9ZY9rSy/X1Y0gPZvMdK+nr2Hg9IukbSq8vWf5zS7/FdSr8ZP2+inPn/ZVOS7mthX1+efQ5/yT6XZ9dYdqrssVbSF7N59b4DJ2rj39wpSTsARMTDwH8A72+2/Db83AAYMEoHLRcDXwSeDDwT+BjwcC/LlbNrRIwBLwfeCLytx+VpiaTNgZ8CzwdeBTwReDFwN/DCbJl/Bj4DnABsCewFzAJ+JGmziHhHRIxl8fgk8K3S64ioeYDdpD8DL5b0lNy0o4HfV1j2PjY+uJ8P3NvCNt8BnA3QxH7OzJY5AvgXSa9qYntjwFXAOKnenwlcImksK8Mnc9scI30uExFxV7b+vwFPAnYAdgS2AU7Mvf+1wD8AVzdRprwF+e1HxG25eUX2G2Al8D7gkgrz1gE/AF5XaUVJzwO+CXyYVEd3AyazeZsBFwFfzeb9LfB5Sbs2UbZa+72XpL2beK9qrgDeBPypwry3A4cAuwIvAA4E/r5GGQ/ITd+SVC+eAewMbAt8rsmyFf1szwWuAZ5C+owukLR1pQUj4tVldfyXwLebeS9JLyHV/1aU9vX1wP+V9MoW3uPLwCOk79+RwFckPb/SgvnflWy757Jhfx8D/AHYl/Q5/l/gfG3cAF5E+q3YOfv73ibLumtu+zObWVHpxMN/ZeV6MrAU+Fa15cv2cxtgDRt/trW+A7Dxb+5YRNyUm/dN4GhJj21mH2wERIQfA/QA5gH31Zi/CfAR4BbgTuAsYMts3iwgSAeH/wvcBXw4t+4WpAOre4EbSAcdtzZRtgBm515/G/hS9vxAYBnpAPSXwAtyy60CFgLXAatJP5Qzsnn7AbcC/5ztz+3A32Xz9gTuAB6Te6/XAcuy5ycC32ig3KW45N/n2Oy9x6qs80RgCjisbPpYVs6jy6ZXLEu2z2+sso39KsUfmACOLYvPacC7smmbZtP+hXQQnP98PgJ8OzftAtLBQjSy7Wze5qR/UNtWmDdtP6vE9ypgYcHvwv3AeIXpAm7MfwbA94F/yL1+F/DDCuteARzTZDlWAa9osF61vN/AN4ATq8x7TLatWWXTvwn8a5V1tsnWeVxZ+Y5o036/H7iskfI3uL1bgf3Kpv0SeHvu9VuBX9UrY5X3fy2wvMFlC3+2wHNIJ26ekJt2OfCOBre/Fti+0ffK6sg1pIbSRr/VLezrr4ETmvz8Hk86+H9ObtrZwKcbXPcBYN8ay1wHvC57Pof0+/DEFutaw/Gpsv7bgV+WlX8N8NwG1j0auAlQhXmVvgMnUuf/HPA/tWLnx2g+fAVg8PweWCvpTEmvlvSksvnHZI/9SWc7x4AvlS3zEtIP5MtJZ612zqZ/lPRjvwPwStIZh/Wyy6n/3kghszOPLwWukbQH6TLk35POTn0VWFx2RuIw0pn27Un/oI7JzXsa6SzPM0n/4L8s6UkRcRXpjHz+TNSbyM5MF/QK4AcRMVVl/ouBGaSzPOtly38fOKDSSuUi4gUR8c0iBc2cBRyVPf8b4HrgtgrLfQfYR9JMSTNJn9F3m9zWTsC6iKg5RqASJXuTrqxck027LuuGUelRsb5J2o3UEFlZYfZLSQe3F+amfRk4UNKTsu/M60ifU1e0a79bsFe2reWSblfqhvNkgIi4g3RW9e8kbSrpRcCzSY2gdvgy8BxV6Ioi6Vk19v2+Wl1DyjyfdPWm5NpsWt45kv4s6Ud1rm7sQ/reNKXAZ/t84KaIeKBO+Ss5Crg8Im5u4r3eC/w8Iq5rdh/zJO0FzCX33ZN0cY39vThb7DnA2ojIX5lsdH9fR7rSWbEbj6RtsvcvfX7/h3QS7GNKXYCWS6p4lawZTdTbjeplRDxIOinRyL4eDZwVEVF3yQ0WKHUHvl7SOyvMv4F0lcxsvcfUX8T6SUTcn13GfT/wNeBpkr4HvC37h34k8PnILgFK+iDwG0l/l3ubj0XEGuBaSdeSfhhuIB2EvzMi7gXulfQFct0kIuIfGiji1ZLWAvcApwP/SToQ+GpE/He2zJmSPkQ6OPlZNu0LkXUfkLSE1FWh5FHg4xHxV+B7kqZIDZhfka5YvAn4fnZg8zekrhxFPYWsq0QVWwF3ZWUqdzuwRxvKAPAMTe9/OkY6m7peRPxSqX/tHNLBwVmkKzrlHgKWkLp7CFicTWvGTNLZuGbdRTqz9ifgAxHx06zsL2jmTZS6wZ1NqserKyxyNHBBWePtalKD4e7s9U+Bdh1kA3xHUqkuTETEIbl5bdnvFm0LvJnUIL2N9H35Iul3AlID4HTg/2Wv3xkRf2ji/Wvt90PAJ0jdbH6SXyki/pdUj4oaI101LFkNjElSdgB1JOmzF/Ae4IeSnhsR9+XfRKk7y9GkA8dmFPlsy8teKv8zG1j3KFJcG3ovSduRTsCMN/De1dyVnbSZAZxMOpkAQEQc2MD61crYyLiLqgfFSl3ZzgHOjIjfZZO3JTVSLiR18XoRqcvgbyPihga2B+l/2brs+VkR8e4m6u0YqcGSV3dfJT2L1K3prQ2WEeB8UnenO0j190JJ90XEubllHqA93zcbIm4ADKDsB+wYAEnPJR0Mnkrqh/oM0pmPkltIn/M2uWn5foR/If1Yka2b/+ffzIFAyR4RsdFZWaXBT0dL+sfc5M2z7VUrU37e3WUH2vkyfwO4Qakv+GGks2K3t1DucncDT68x/y5gK0mPqdAIeDrTf/xbdVtEbJufoNzA3jJnA8eRrv68hTQGo5KzgE+RDopaGRx2L4390y63VZUGU8MkbUFqwPwqIj5VZf4bgIPLZn2bdEbuYNJ+n0SqO4fRHodExE+qzCu83wWsAf6zdNZV0ifJDsaz345vAYcCPyZd2blY0m0RUWm8QSW19hvSSYoTlAaNd8IUqTteyROBqdKBYkT8IjfvU5KOJl0hWlKamJ3R/ibw+rKz040o8tmWl53sdc3GdXYC6Gmk7nuNvteppJMolRrMjdqK1Ng5nvS/ZjNSl55Gtbq/25EOiqeNJ5O0Cel37xHSb1/JGtKJo3/LPp+fSbqM1BButAEw7X9ZE1raV1LD7orclZ26IuK3uZe/lPT/SOM08g2AJ5C635qt5y5AAy4743EG6WwHpLN8z84t8izgr6SzA/XcTjpzUrJdG4oIqSHxiYiYmXs8ruwMRUsi4o/AlaSDmDfTnu4/kA6S/kbS46vMv5LU5/a1+YnZ8q9mw5WNbjqbdPXjexHxlxrLXU5qpGxDa909/ofU86GRM5V1ZZety++CUXqcllvusaSzjn9k+kDPkteSrj5NlE3flXQV6sHsysBppAHQPdPofhd0HemgrZK5wIqI+GFErIuIFaSBxm0boB4Rj5JuUvCvpIYXsL4rRbV9n5J0ZNU33dj1bNy1YVdqd+OJsnLsTroK9pbS2ft2aPCzvR7YQRvfeahe+SGdDf+vsitc9d7r5cDnlO52VDrZcqUa72oFQESsjYiTSVd31l9p1fQ7FOUfpa52vwceI2mnJvf3KFJ/+vzAViQJ+Drpd+x1WV0rKdTNqZom6u1G9TL7v7Ajje3rmQWLuVEdz+zMxl3lzNwAGDSSnivpnyVtm73ejnQ25lfZIucC75W0fXZWvHRXlkbOUp0PfFCpn/Qz2fiMShFfA94h6f8oebzSLfhaOYtcyVmkAcu7kO5qkreJpBm5R6N3Qjib1HC5MIv5JpKeonS7yfnZmbSPAV+U9CpJmyndgeLbpKsD5zSyEaVbux3TYJlqys4a7Usa1FtruQAWAAc12c+0tP6jpAbSvq2Us8L7PT82voNF/vEOWH+Z/wLSmb2jImJdlber1lXgKuBYSVtkVwneTu4fotKt9maQ/nFultWVTbJ5+yl3m9R2aWS/s+1vlpVtE9IB1Azlbq+bzSvV68dmr0v+k9THfwdJjyNd8Sn1yb4G2EnpVqCStCNpsP61bd7vs7Pyrb9DTkT8b419H4uI9d8fpVs+lvZp82z/Swc4ZwH/JOmZkp5BulnAGdl6z5K0d+mzlXQC6Sz2L7L5c0l3UPrHiFh/RSC33RNV/WpbTY18ttnVhmXAR7PyHUoa/3RhtffVhitcZ5Rtr957PYd0QLobG7pXLiD7vWxhXz8NvK/0uUTZHYrKHq/OlnmQNGbq49n/gL1JV+TqnbQ5qnx/M18hHdguiNSlNe/npBtdfFDpVsd7k25s8MNsf4+RtKqJ/SXbh0br7UXAXEmvy2L0L8B1uS5K00h6ManL1rcrzKv6HZB0cPY/W5JeCLyb3Liu7H/5k9lwjGAGuAEwiB4g9fP7b0kPkr7UvyH944M02PZs0g/gzaQzNf9Y4X0q+TjpLgM3kw7wLiB3e1Gl+zI3fWYyIpaSLt9+idR9ZCUbD/It6iLSVY+Lsn8yeUeQDhpLjxsbecNI909+BfA7UveI+0l3vtgK+O9smc8CHyJ1J3mAFLfHke46Ul6OaZRuNfoU2vjDHBFXxMa3Yqy23PUR0fSAx5yvkq64dMuLSQenBwD35c64vbS0QPaP7mWkg8JybyENcL+VdAVhBzaugz8i1Y8Xk/rTriENCoV0JezKNu5Ls75GKs8RpMbdGjaO/RpSlwNI9XX9wVBE/AcpHv9N6g74MOkAgYi4kRSXL5Dq989IB4xfz1Zvy35HxFrSDQae3OJbrCDt0zNJB3Br2HCV86uk7jzLSb+Dl2TTIHV7+ArpN+ePpAbIqyOiNA7kn4Gtga/n6lP+O7EdWWOhgw4n3dntXtJB9esj4s8Akl6qNN4p7xBSX/LLmnmviLgzIv5UemTL35U7cG52Xy/JttPsbZ7/gTQ26U7Syap3ln6HcmfXn1VaWGlg+raUHRQrdSv9e1Jj5k/lZ+CzkxQHk67yrSZ9h47KHYB39LPN4v460hiYe0n/sw/Plf9Dmp4LpnRlp1I3oVrfgcNJ/1MfIH3XPxMR+asIbySNj+iXW4Vbn1ALJwBtRCjdTeDwiGjLmd5OknQj8Pd1+iNXW/fZpB/Yh0i3tvtai2V4C+mqwN6RBovVW/4lpFt3HtHK9jpF0tdJZxnvjIiqyYIkXUE6e3pN1wrXA5JOJ9069Ye9Lks3jep+l0haBrw812AYWqO0rwBKCeHeE40PCB5I2RXva4F9IuLOXpfH+osbALaepKeTzoxeSRoQeAnpPv6n9rJc9Sjd3u0zpPtLV+sa0q2yvBl4NCLO62U5zMzMzKpxA8DWy86EX0K6F/99wHnAByOimTs9dFXWb/V5wJtH9UylmZmZWTPcADAzMzMzGyEeBGxmZmZmNkKGNhHYzJkzY/bsquMX22d1yqsyubJyvpDx8SYSL1Z6j27sQxUPPvggj398dhv8rGyTq6vnkWlqX3upFOcOx3aj+PWjRj7T2bNhyy27VaJp2hbDYaq/Tej7OlhEl+pvX8RwwOtvX8RwgA1c/KocD1VV8H/xqlWruOuuu8pzH/SNJm+n/MOIeFX9xYob2i5Ac+bMiRUrVnR+Q0vS7aN10EEVZzcV3wUVkmUumXZ76q6ZmJhgv/32Sy+ysunii6suPzB1qRTnDsd2o/j1o0Y+08WLK9fLLmlbDIep/jah7+tgEV2qv30RwwGvv30RwwE2cPFr9jtX8H/xvHnzWLp06bA0ACYjYl7HCpPT0y5AktZKWibpWklXZ4kwzMzMzMysQ3rdBWhNROwGIOlvgE/RpuyiZmZmZmY2XT8NAn4iKWNeKQX9zySdL+n3kj4t6UhJv5a0PEtZb2ZmZmZmTerpGABJa0kp3GcATwdeFhGTkvYDvgPsDNwD3AScHhEflfQeYPuIOL7C+70deDvA1ltvPX7++ed3fieGeBDw1NQUY2Nj6cWAD0LbSJcGAW8Uv340AIOA2xbDYaq/Tej7OlhEl+pvX8RwwOtvX8RwgA1c/Lo8CHjhwoUeA9CCXjcApiJiLHv+IuB0YC6pG9CHI+KV2byfkxJS/ULSy4B3R8Qhtd7bg4CL8yDgYvp+4JYHAW9kYOpvE/q+DhbhQcAb6ef62xcxHGADFz8PAt5IvzYA+qYLUERcCWwFbJ1Nejg3e13u9Tp6P3bBzMzMzGwg9U0DQNJzgU2Bu3tdFjMzMzOzYdXrM+lbSFqWPRdwdESslfr2Ss502aWutlx+7WF3n7qysvXvReYm9HOcu2mYPtN6RmlfR8UofaajtK82+Pw/diD0tAEQEZtWmT4BTORe71dtnpmZmZmZNa7jXYAkHSopsi4+5fPOlTRL0vGSDu90WczMzMzMRl03xgAcAVwBVDrA3z4iVpHu+nN5F8piZmZmZjbSOtoAkDQG7A28lVwDQNI5kn4LzMnGABwAXCLp2Gz+KkmflHSlpKWS9pD0Q0k3SnpHJ8tsZmZmZjbMOpoHQNKbgP0j4q2SfgkcFxFXZ/MOA7YDLgQ+FxFvyK23CvhMRHxF0inAy0kNiRnA9RHx1Crb634isCE2cMlH+ozjV5xjWIzjV5xjWJxjWIzjV5sTgbWm04OAjwBOzZ6fl72+Onu9O/ATYBdgWYV1F2d/lwNjEfEA8ICkhyTNjIj7yleIiEXAIkiJwAYqcUYfGrjkI33G8SvOMSzG8SvOMSzOMSzG8bNO6FgDQNJTgJcBc7PWz6ZASJoAPgFsDxxISvz1oKRXRMT+ubfIJ/4qTwrW69uXmpmZmZkNpE6OAXg9cFZEPDsiZkXEdsDNwP3AOPCbiNgFuB7Yvezg38zMzMzMOqCTZ9KPAD5dNu1C4I3AGuBaSZsDm0XE/R0sh5mZmZmZZTrWAMgn78pN+0Lu5dLs7z4VlpuVe34GcEaleWZmZmZm1pxu5AGoq1ayMDMzMzMza5++aABQO1mYmZmZmZm1Sc8bAJWShUnaT9LPJJ0v6feSPi3pSEm/lrRc0o49LbSZmZmZ2YDqaCKwhgpQIVkY8ETgO8DOwD3ATcDpEfFRSe8Bto+I4yu8lxOBtZGTjxTj+BXnGBbj+BXnGBbnGBbj+NXmRGCt6Yf76VdKFnYJcFVE3A4g6UbgR9kyy4GKtwx1IrD2cvKRYhy/4hzDYhy/4hzD4hzDYhw/64SeNgCqJQsDvsf05F/5xGD90HAxMzMzM+u47Jj5p9nLpwFrgT9nr3cFriUdH98AHB0Rf6n1fr0eA1AtWdhLelwuMzMzM7O+EBF3R8RuEbEbcBpwSu71g9nzucAjwDvqvV+vGwBHABeVTSslCzMzMzMzs8ZdDsyut1BPu9LUSBb2hWrLRcQEMFF44wsWpL9LlrS2bqPrlbZTSSvbbkXRfW103Wr72q39HDWtfq6j9Jm2Y18bXd+a043f4H75TJv5n1G+HgzWvppZEVtJWpp7vSgb39oQSY8BXg38oN6yHW0ASNoGOAXYC7iXdFnisxFxUW6ZCeBVwKeB8yLiV50sk5mZmZlZH7qrxbsAbSFpWfb8cuDr9VboWANAkki38jwzIt6YTXs2cFBumS2AtRHxkKQ9gRM6VR4zMzMzsyG0JhsL0LBOjgF4GfBIRJxWmhARt0TEFwEkXUa6pedcScuBXYCrJM3P5k9J+oykSUk/kfRCSROSbpJ0UIXtmZmZmZlZHR1LBCbp3aSEXe+tscz7gBuBu4HXRMQJuXkBzI+I70u6CHg88BrgeaSrCrtVeL/GE4GtXJn+zq47TqLyuo2uV9pOJa1suxUt7uvU1BRjf/pT4+tW29du7Wef6XjyllbrcDPr9fgzLRzDduxro+v3ob5OINSN3+A2fKZtiWEz/zPK14OBr799XQ8HgONX2ygmApN0IjAVESdlr6cioqlK0rUGgKQvk27v+UhE7JlNOxf4CDAfuCcizsmt/zAwIyJC0seBhyPiE5I2yZadWWv7c+bMiRUrVlRfwIOA65qYmGC/k09ufN1BHzDaZh1P3jICg4ALx3DEB1H2dQKhARkE3JYYjvgg4L6uhwPA8att3rx5I9cAaIdODgK+Hnhd6UVEvEvSVsBSSccCx5FuU7Qz8CzgDknzI+LIbJVHY0PrZH0isIhYl41yNjMzMzOzJnVyDMClwAxJ78xNexxARJwOHABcmnXlWRkRO+cO/s3MzMzMrAM61gDIzt4fAuwr6WZJvwbOBN6fLbIPcIWk7YBbOlUOMzMzMzPboKNdaSLiduDwKvMuyL18Q4X5Y7nnJ1ab17IifSKbWbcf+g6P0r6OklbjPUqf6Sjt66Dpxu9Sv3ym/q6aWZ/pZBeguiRtI+mb2a09JyVdKenQXpbJzMzMzGyY9awBkEsU9vOI2CEixklXC7btVZnMzMzMzIZdL++mUzFRGPBFSceQxg9sCswFTgY2B95MuhvQ/Ii4p9sFNjMzMzMbdL3sAvR84Ooa8+cCbwReCHwC+EtE7A5cCRzV+eKZmZmZmQ2fvrmffj5RGPBl4LKIeAB4QNJqoDTCaTnwgirvkc8EzMTERKeLPdSmpqYcwwIcv+Icw2Icv+Icw+Icw2IcP+uEXjYAqiYKyyY9nFt2Xe71OqqUOyIWAYsgZQJ25rxinH2wGMevOMewGMevOMewOMewGMfPOqGXXYCqJgozMzMzM7PO6FkDoIFEYWZmZmZm1mY9HQNQK1EYcEZuuVm552fk55mZmZmZWeM6fgVA0lpJy3KPWWXzJyTNkHSqpL06XR4zMzMzs1HWjSsAayJit0ozJG0BrI2IhyTtCZzQhfKYmZmZmY2sXmYCvox0S8+5kpYDuwBXSZqfzZ+S9BlJk5J+IumF2dWCmyQd1Ktym5mZmZkNsm5cAdhC0rLs+c0RcShAROwv6X3AjcDdwGsiIn8F4PHARES8X9JFwL8BrwSeRxosvLgLZTczMzMzGypKN+Pp4AakqYgYqzLvXOAjwHzgnog4JzfvYWBGRISkjwMPR8QnJG2SLTuzwvvlE4GNn3/++e3foREyNTXF2FjFj84a4PgV5xgW4/gV5xgW5xgW4/jVtnDhQpYuXapel6MaSc0caE9GxLyOFSanJ3cBknQscBwwG9gZeBZwh6T5EXFkttijsaF1sj4RWESsk+REYF3g5CPFOH7FOYbFOH7FOYbFOYbFOH7WCT0ZAxARpwMHAJdmA4RXRsTOuYN/MzMzMzPrgF5mAt4HuELSdsAtPSyHmZmZmdnI6HgXoGr9/yPigtzLN9RaLyJObOQ9zczMzMystp5mAjYzMzMzG1bjs2ez9JRTGlpWCxZ0uDQb9EUDQNJaUk6AkkMiYlWPimNmZmZmNrT6ogFAjWzBZmZmZmbWPv3SAJhG0jHAIcCmwFzgZGBz4M2kW4LOj4h7elU+MzMzM7NB1C8NgIrZgkkH/rsDM4CVwPsjYndJpwBHAafm36QsERgTExOdL/kQm5qacgwLcPyKcwyLcfyKcwyLcwyLcfysE/qlAVCtC9BlEfEA8ICk1cCSbPpy4AXlCzsRWHs5+Ugxjl9xjmExjl9xjmFxjmExjp91Qi/zADTi4dzzdbnX6+ifxouZmZmZ2cDo9waAmZmZmZm1kRsAZmZmZmYjpC+60VTK7BsRZwBn5F7PqjbPzMzMzMwa0/MGQIUkYOdFxKd7VR4zMzMzs2HW8wYATgJmZmZmZtY1fTsGQNIqSZ+UdKWkpZL2kPRDSTdKekevy2dmZmZmNoj64QpAPgkYwKci4lvZ8z9ExIuyxF9nAHuTkoJdD5xW/kZOBNZeTj5SjONXnGNYjONXnGNYnGNYjONnndAPDYBaXYAWZ3+XA2O5pGAPSZoZEfflF3YisPZy8pFiHL/iHMNiHL/iHMPiHMNiHD/rhL7tApTJJ/4qTwrWD40XMzMzM7OB0u8NADMzMzMza6N+aABsIWlZ7tHZW4AuWJAe+detrtvvKu1ro+VfsABWruxMuayYonV4kOTrYLPfv0HbV6tvkH+Dm/39HaT9NLOB0/NuNBGxaZXps3LPz6BKUjAzMzMzM2tcx64ASFqbndG/XtK1kv5J0rTtSZqQNEPSqZL26lR5zMzMzMyss12A1kTEbhHxfOCVwHzgo/kFJG0BrI2Ih4A9gckOlsfMzMzMbOR1ZQxARNxJuj//cZIEIOky0u0950paDuwCXCVpfjZ/StJnJE1K+omkF2ZXC26SdFA3ym1mZmZmNmwUEZ15Y2kqIsbKpt0LPDci7shevw+4EbgbeE1EnJBbNoD5EfF9SRcBjwdeAzwPOLNS7oCyRGDj559//vSClQYVzp694XXpeT3l6/a7Svuaf11n3amZMxnbaqvOlG0ETE1NMTY2Vn/BZhWtw4NSf4Gpu+7aUAeb/f4N2L52QsfqYK/04De4UAzz5W3y97fhZQfA0NXDLnP8alu4cCFLly5Vr8tRzbyddoqlp5zS0LJasGAyIuZ1uEhpW11uANwHzMk1AM4FPkLqHnRPRJyTW/ZhYEZEhKSPAw9HxCeycQT3RMTMWtufM2dOrFixYvqM0p0VlizZ8Lr0vJ7ydftdpX3Nv66z7sTBB7Pfscd2pmwjoGPJW4rW4UGpv8DE6advqIPNfv8GbF87YegSCPXgN7hQDPPlbfL3t+FlB8DQ1cMuc/xqmzdv3sg0ACStJfWeKTkEmAVcBhwUEUuy5S4GToqIiWrv1bW7AEnaAVgL3CnpWOA4YDawM/As4A5J8yPiyGyVR2ND62R9IrCIWCep53cvMjMzMzProjXlPWAkzQJuBT4MNHzWoCtjACRtDZwGfCmS04EDgEuzHVkZETvnDv7NzMzMzKy+a4HVkl7Z6AqdPJO+haRlwGbAX4Gzgc/n5u8DXCFpO+CWDpbDzMzMzGzQlY6tAW6OiENz8/4te/y4kTfqWAOgWoKv3PwLci/fUGH+WO75idXmNa28T2UzfSwHrT9m0X2dmGhrcaxNRqkO5wdBNlv2QdtXq2/QPtN8eYf5e2pm7bKVpKW514siYlHu9bQuQCURcbkkJL20kQ31tC99bjBD6SrBmcCpEbGul+UyMzMzM+uyuwreBegTpLEAf623YFfGANRQN1mYmZmZmZnVFhE/Ap4E7Fpv2V43ANYrTxYm6RhJ35G0RNLNko6T9E+SrpH0K0lP7nWZzczMzMz6yCeAbest1Fe304yIm7L7/D81mzQX2B2YAawE3h8Ru0s6BTgKODW/flkiMCbch72Qqakpx7AAx684x7AYx684x7A4x7AYx89KKo2Bze71P5F7vRiomxehrxoAmXyhL4uIB4AHJK1mw/1NlwMvKF8xGyixCFIiMCfOKMbJR4px/IpzDItx/IpzDItzDItx/KwT+qYLEGycLCyb9HBu9rrc63X0Z+PFzMzMzKyv9U0DoDxZWK/LY2ZmZmY2jHp9Fr1esjAzMzMzM2ujnjYAaiULi4gzgDNyr2dVm1fYggUA6OKLS+/ftrfuS7n9jcWL17+2Nlu5Ek4+eeNpnUrwM0p1eJT2dVSM0mc6gvvKwQdP/y0EJzwz66GOdwGS9DRJ50m6UdJvJX1P0nNy88+VNEvS8ZIO73R5zMzMzMxGWUcbAJIEXARMRMSOEfE84EPANrnFto+IVcC+wOWdLI+ZmZmZ2ajr9BWA/YFHI+K00oSIWBYRl0s6R9JvgTnZOIADgEskHQsgaZWkT0q6UtJSSXtI+mF2JeEdHS63mZmZmdlQUif7H0p6N+kM/3urzD8M2A64EPhcRLwhN28V8JmI+EqW+OvlwN6kpGDXR8RTK7xfPhHY+Pnnn99YQVeuBGBy9WoAxsfHG1tvUOX2d3z2bNhyy4qLTU1NMTY2LeeENWjqrrsYu+++jSfOnt2ZjQ1pHa5YB4d0XzthYL7DffyZtj2GfbyvbZft69TMmdN/C6Fzv4dDZmC+xz2ycOFCli5dWjfxVa/M22mnWHrKKQ0tqwULJiNiXoeLBPT+LkC7Az8BdgGWVZi/OPu7HBjLJQV7SNLMiLgvv3DLicCywUn7j8KgLNhof2PxYqgSJycfKWbi9NPZ77vf3Xhipwa9DWkdrlgHh3RfO2FgvsN9/Jm2PYZ9vK9tl+3rxMEHT/8tBA8CbtDAfI9toHS6AXA98PryiZLmA58EtgcOBLYGHpT0iojYP7doPvFXeVKwXjdezMzMzMwGTs2DaElLgKqnJyLioDrvfynwSUlvi4ivZe+5J/AgMA78PCL2lvRT4NCIuL+p0puZmZmZWVPqnUU/Kfv7WuBpwDey10cAq+q9eUSEpEOBUyV9AHgoW+94UvefayVtDmzmg38zMzMzs86r2QCIiJ8BSPrXiNgnN2uJpJ83soGIuA04rMrspdnffcpn1Er8lZ/XFlk/xCHuibmxUdvfXpk9u3t9XEfpMx2lfR0Vo/SZjuC+MjHh/v5mfabR24BuLWmH0gtJ25P67RdWL1GYmZmZmZm1T6MDaY8HJiTdlL2eRXa7zSJyicLOjIjDs2m7kRKF/b7o+5uZmZmZ2cbqNgAkbQJsCewEPDeb/LuIeLj6Wg2rmChM0n6SfgbcAewG/BfpVqDvAbYADomIG9uwfTMzMzOzkVK3C1BErAOOi4iHI+La7NGOg3+AucBklXm7kg74dwHeDDwnIl4InA78Y5u2b2ZmZmY2UhrtAvRjSQuBb5Fu4QlARNzTkVIlV0XE7QCSbgR+lE1fTrpyME1ZJmAmJiY6WLzhNzU15RgW4PgV5xgW4/gV5xgW5xgW4/hZJzTaAHhL9vdduWkB7FBh2WZUTBSWKU/8lU8KVrHcLWcCtoqcfbAYx684x7AYx684x7A4x7AYx886oaG7AEXE9hUeRQ/+ISUKe6ykt5UmZInC9m3De5uZmZmZWZmGrgBI2gx4Jxvu1z8BfDUiHi2y8RqJwr5T5H3NzMzMzKyyRrsAfQXYDPj37PWbs2nHFi1AjURhX8sts1/u+QSpAVJXusto2fYWL56+4IIFDb1Pfl0ddFCaduCBaUIfJTmpVN6N1NrfBQvQxRenddetm75fdWJlnVPzc22hDje6bkULFnSuzmd1EOCy73ynuTqYW7dt+2ptUa0O6qCD0rQan03b62+HFf2utvTbbR1X6ZiiEXHggS3/XkripJNOYv/9Kw59rL7NaDLVXK5ulX5DW1W1/jawbeueRhsAe0bErrnXl0q6thMFqkTSWtLgXwFrSXcl+mW3tm9mZmZm1rQ//xkWLep1KaZpNBPwWkk7ll5kWYHXdqZIFa2JiN2yRsgHgU91cdtmZmZmZkOj0SsAJwCXZZmABTwb+LuOlaq2JwL39mjbZmZmZmYDraEGQET8VNJOwBxSA6BdmYAbtYWkZcAM4OnAy7q4bTMzMzOzoaFGB4pIejEwi1yjISLO6kyxpm17KiLGsucvImUDnhtlhS9LBDb+/ve/f9p7jc+ePX0DW25Zc/uTk5PT1p1cuTJNK61b6X17pFJ5N1Jrf1euZHL1asZnz2YKGGtmXdvI1NQUY2PTItiymp9rC3W40XUrWrmyc3U+q4MAc2bPbq4O5tZt274OsHbXwSKq1cHJlSvTtBqfTdvrbxNaiWHR72pLv919rJ/qYRGlz7VZ41tu2fLv5eTkJNtuuy233nprc9scH29uQ9kxDbD+N7RVVetvNQXr9cKFC1m6dGlrI7S7YN7MmbF0n33qLwhoyZLJiJjX4SKlbTXSAJB0NrAjsIwNff8jIt7duaJttP31DYDs9R3ALhFxZ7V15syZE7///e+nTfddgGj4LkAT69ax3yabTJtvjWl38pZRvQtQU3XQdwHaSD8lEBrUuwC1EkPfBWhj/VQPi+jlXYAWLlzY3DZH6C5A8+bNcwOgBY2OAZgHPK/8jHsvSHousClwd6/LYmZmZmY2aBptAPwGeBpwewfLUktpDACkMQhHR0Q370JkZmZmZjYUajYAJC0BAngC8FtJvwbWD/6NiIM6W7z129m0xfXatf2OvXcnFCrbkiWsX3tiAobgsu2wKPK5tr2+drLLW64OTjRbB/P11/pKtTrYSN3s59/bSvrqu2pt04vPJiKYmJjo/LZzv+mugaOh3hWAxcA2wOVl0/cF/tiREpmZmZmZWcfUSwR2MLA4In6WfwDfAw5pZ0EkHSopsj7+5fPOlTRL0vGSDm/nds3MzMzMRkm9BsCsiLiufGJELCXdErSdjgCuACod4G8fEatIVx7Kr0aYmZmZmVmD6jUAZtSYt0W7CiFpDNgbeCu5BoCkcyT9FpiTDQI+ALhE0rHt2raZmZmZ2SipNwbgKklvi4iv5SdKeivQWkaMyg4BfhARv5d0j6Q9IuLqiDhS0mHAdsCFwOci4g3V3qQsEVgaQGgtm5qacgwLcPyKcwyLcfyKcwyLcwyLcfysE+o1AI4HLpJ0JBsO+OcBmwOHtrEcRwCnZs/Py15fnb3eHfgJsAspEVlVEbEIWAQpEdgwJB7ppWFJ3tIrjl9xjmExjl9xjmFxjmExjp91Qs0GQETcAbxY0v7A3GzyJRFxabsKIOkpwMuAuZKClOQrJE0AnwC2Bw4EtgYelPSKiNi/Xds3MzMzMxslDSUCi4jLgMs6VIbXA2dFxN+XJkj6GXA/MA78PCL2lvRT4NCIuL9D5TAzMzMzG3qNZgLupCOAT5dNuxB4I7AGuFbS5sBmPvi3SiQ1tXwsXpyeLFjQ0W1e9p3vTE+YVWCbNmSyuqCLL6676Po6W2H9VjT7nVlfDiepspIG6u/6ertuXVt/C1utv+A6bFbS8wZAROxXYdoXci+XZn/36UqBzMzMzMyGWL3bgPaNWonCzMzMzMysMQPTAKB2ojAzMzMzM2vAQDQAqiUKMzMzMzOz5mgQBsRIehOwf0S8VdIvgeMi4uoKy+UTgY2ff/75XS7pcJmammJsbKzXxahrcrK5nHTjs2enJ1tu2dFtzpk9m2nRK7DNUTQodbAlK1cCMLl6dd1F19fZvAbqUrX4NfudWV+O8fGW1htkQ10Hi2ig/pbq7RS09bew1foLg1mHXQdrW7hwIUuXLm19ZHiHzZs5M5bu09gwVi1ZMhkR8zpcpLStAWkAXAKcGhE/lvRuYLuIOKHWOnPmzIkVK1Z0p4BDalCSj/TzXYD226TsIpvvAtSUQamDLenCXYCqxc93AWrcUNfBIpq4C9DEunVt/S0ctbsAuQ7WNm/evJFpAEhaCyzPTToEmAV8F7gJmAGcFxEfq7etnt8FqJ4aicLeF4P4TTYzMzMza96aiNgtP0HSLODyiDhQ0uOBZZIujoial8oGYQxAKVHYsyNiVkRsB9wMvKTH5TIzMzMz6wsR8SAwCexYb9lBaAAcAVxUNq2UKMzMzMzMbBRsIWlZ9ig/Ni71mtkLuL7eG/V9F6AGEoX1t/Lsh3nD1h+8R/vai55gjWxzYmIChqHfZq/rcGkbtcrRDt3ez2x7vejHOFK9J3tdf7ul3vej3fvaTP1t82/hSNVfGzVbSVqae70oIhblXk/rApR5qaRrgHXApyOi/xsAkrYBTiG1WO4FHgE+GxEX5ZaZAF4FfJo0uOFXPSiqmZmZmVmn3NXiXYAuj4gDm1mhp12AlIbyfwf4eUTsEBHjpPv8b5tbZgtgbUQ8BOxJ6ttkZmZmZmYt6PUYgJcBj0TEaaUJEXFLRHwRQNJlpNsdzZW0HNgFuErS/J6U1szMzMxswPU0D0B2T//tI+K9NZZ5H3AjcDfwmlr3/+/LRGC1kvz0eVKoppOPDPC+dsLQJG/p4ec6NTXF2J/+lF5USobVTkNYf4emDhZR8HMdmBjWSyjXwzo8MDHsU45fbU4E1pqejwHIk/Rl0u09H4mIPbPJu5Pu+jMfWFZr/WygxCJIicD6InFGrYFZ/VC+GppOPjLA+9oJQ5O8pYef68TEBPt997v1y9EOQ1h/h6YOFlHwcx2YGNb7fvRwHwYmhn3K8bNO6HUD4HrgdaUXEfEuSVsBSyUdCxwHzAZ2Bp4F3CFpfkQc2ZPSmpmZmZkNuF6PAbgUmCHpnblpjwOIiNOBA4BLs1serYyInX3wb2ZmZmbWup42ACINQDgE2FfSzZJ+DZwJvD9bZB/gCknbAbf0ppRmZmZmZsOj112AiIjbSbf+rDTvgtzLN3SnRG1WI/lKugvqBrF4ccPr9qUm9rWcE7v0sWqf64IF6KCDqq7Wts+0033/S1qsv7F48eB9V0dJr+tvt9Sqg8O2rzZcqtXdbv32j6hedwFqiKRtJH1T0k2SJiVdKenQXpfLzMzMzGzQ9H0DoJFkYWZmZmZm1piedwFqQMVkYcAXe1ckMzMzM7PB1NNEYI1oJFlYbtn+SwRWw+Tk5Eavx8sTHfU4+VA7k4+U72u58fHxtmynnwx98paVK5mskXyoHZ9pv8SwVv0dnz2759/Vavolfn2pwfo7FDHswne1lqGIYQ8NffxWrqw8vcHkj04E1pqBawBUSRY2zZw5c2LFihVdKmVr+n0QcDuTj4ziIOChT96yYAG6+OKqs9vxmfZLDAd1EHC/xK8vNVh/hyKGXfiu1jIUMeyhoY9fwUHA8+bNcwOgBX0/BoCULGyP0ouIeBfwcmDrnpXIzMzMzGxADUIDoGqyMDMzMzMza07fNwAaSBZmZmZmZmYNGoS7ANVMFtYJ0/rmd6h/ZN33XbKkZvKWlt83r6xvaKf6M9crU80+1kM4PqCSdo6T6EodXrKEWu9ab3+qabYO5rfTk/rrJEvrtet73E/196STTmL//fdv6q0HdV8rcf3dYJRi0VVO+NUTfXMFQNJaSctyj1ll8yckzZB0qqS9elRMMzMzM7OB1k9XANZExG6VZkjaAlgbEQ9J2hM4oaslMzMzMzMbEn1zBaAaSZcBy4G5kpYDuwBXSZrf25KZmZmZmQ2evskDIGkt6UAf4OaIODQ3733AjcDdwGsiouIVgHYlApuWoKtXSapWr2ayWoKMGpoqb1mCmHxSo24mH6mZaGlAk4Q1G792Jkvrhzpcb3+qabYO5rfTk6RcPU6yVEu3Ewi163vcT/V322235dZbb21q3UHd10qGKaFfPf2asHJQ4tcrTgTWmn5qAExFRMUaLulc4CPAfOCeiDin3vsVSQTWrUHAdfV4EHA3k48M4yC0ZuM3cIOAmyxDo5qtg90YBFxTj5Ms1dLtBEIDNQi4wTKcdNJJLFy4sKl1B3VfKxmmhH719Osg4EGJX684EVhr+mkMwDSSjgWOA2YDOwPPAu6QND8ijuxp4czMzMzMBlBfjwGIiNOBA4BLswHCKyNiZx/8m5mZmZm1pq8bAJl9gCskbQfc0uvCmJmZmZkNsr7pAlSt/39EXJB7+YYulaUbm6lvwYLOl6VOgphu6ZuY91A7Y9AP8exWGXq+r33yHeoH7fosev6Z5sowMTHR0fL0076OOsfBOmL2bFi8uLFlWxw714q+aQDUU3aXIIBDImJVj4pjZmZmZjaQBqYBQI1EYWZmZmZm1phBGANgZmZmZmZtMkhXALaQtCx7vlGiMDMzMzMza0zfJAKrp1aisNwybckEbImzDxbj+BXnGBbj+BXnGBbnGBbj+NXW95mA582LpUuXNrSsJCcCa0VELAIWQcoE7Mx5xTj7YDGOX3GOYTGOX3GOYXGOYTGOn3WCxwCYmZmZmY0QNwDMzMzMzEbIwDQA6vX/L2TJkvQYFQO2v5JqPoyB+0wLGbB9rVpvB2w/Om5UYjFgn7vrbxssWVL3/1i7/781vZ3S5+nPdGQMzBiAConAzouIT/eqPGZmZmZmg2hgGgA4EZiZmZmZWWED0wXIzMzMzMyKG6QGwBaSluUef9vrApmZmZmZDRonAgNYvTr93XLLQmUcGA3ub78kH5mcnKw5f3x8vEslaU5X4zekdbhiDAdsX6vV3/HZs9OTDu5Hv3yHG7J6dV9+pm2P4QjW34Gqh52wejWTK1e2tOr4+HhL8av3f3PadkqfJwxM3SxxIrDWDFUDIG/OnDmxYsWKxhYujXpfsKCVog2eBve3X5KP1LsTQr/W4a7Gb0jrcMUYDti+Vqu/sXhxetLB/eiX73BDlizpy8+07TEcwfo7UPWwE5YsQQcd1NKqEdFS/Jq9g9D6zxMGpm6WzJs3zw2AFgxSFyAzMzMzMytokO4CtIWkZbnXP4iID/SqMGZmZmZmg2hgGgARsWnH3nzALncVNmD7269dfPrKgH2mhQzYvrr+lil9fuUJhwbsc23ZgO2n628bLFjQ9Tj6c7N63AXIzMzMzGyE9LwBIGltdlvP6yVdK+mfJE0rl6QJSTMknSppr16U1czMzMxs0PW8AUCW4Tcing+8EpgPfDS/gKQtgLUR8RCwJ9Dc/a3MzMzMzAzojwbAehFxJ+k+/scpu4eVpMuA5cBcScuBXYCrJM3vXUnNzMzMzAZTz/MAVLq/v6R7gedGxB3Z6/cBNwJ3A6+JiBOqvFdricCsopFP3lKQ41ecY1hMX8avlBApn3ioj/VlDAeMY1iM41ebE4G1pl/vAlT+Qe4OXEjqHrSs2koRsQhYBCkR2EgnHmmDkU/eUpDjV5xjWExfxu/kk9Pf8rsA9am+jOGAcQyLcfwMQNJTgJ9mL58GrAX+nL3eFfh8RPxztuxCYCwiTqz2fn3XAJC0A2mn7pR0LHAcMBvYGXgWcIek+RFxZA+LaWZmZmbWFRFxN7AbgKQTgamIOCl7/RDwWkmfioi7Gnm/vhoDIGlr4DTgS5GcDhwAXBoRuwErI2JnH/ybmZmZmQHwV1IPmPc2ukI/XAEoZfjdjLQDZwOfz83fB7hC0nbALd0vnpmZmZlZx20lKT9gYFHWvb0RXwauk/TZRhbueQOgXobfiLgg9/INHS6OdcKCBX3Z3ze70VRLWh08X2ubvR6Qb4Olkfp70kknsf/++0+b3on62/D79uFvgfXAkiXooINaWrXIb6V/gwdIo1mzSzcWGA53tToIOCLul3QW8G5gTb3l+6oLUCWNJgozMzMzMxthpwJvBR5fb8FBOJCumyjMzMzMzGyURcQ9wPmkRkBNg9AAWK9SojAzMzMzMwPgZGCregv1PBFYPY0kCstNdyKwNmpb8pGVK/sy6c/k5GTL646Pj9ddplL8am2zkfccNU6AU10j9Xfbbbfl1ltvnTa91bpWb5vDWIddB4urGMPVq5lsse92kXo2iL/BI1sHG6wfCxcuZOl99/XtSeF+TQQ2qA2A+4A55Q2AvDlz5sSKFSs6Xbyh1rbkIyM6CLhS/DwArTlOgFNdo4OAFy5cOG16TwcBDxjXweIqxtCDgBs2snWwwUHA8y6/3A2AFgxUFyDYOFFYr8tiZmZmZjZoBqoBUJ4orNflMTMzMzMbND3PA9CAeonCzMzMzMysQX3fAKiXKKyqhx9uc0msZX3Y/x9609/TF66sJRX6wjY6DqWddc7119pmwQL/BlttjR47zOtKl/mh0xddgCQ9TdJ5km6U9FtJ35P0nNz8cyXNknS8pMN7WVYzMzMzs0HW8wZAdj//i4CJiNgxIp4HfAjYJrfY9hGxCtgXuLz7pTQzMzMzGw49bwAA+wOPRsRppQkRsSwiLpd0jqTfAnOycQAHAJdIOrZHZTUzMzMzG2g9zwMg6d2kM/zvrTL/MGA74ELgcxHxhhrvtSER2FZbjZ//7W93oMSjY2STj7SJ41ecY5iplBCngeR6jl9xjmFxjmExjl9tCxcuZOnSpc4D0KS+HwQM7A78BNgFWFZrwYhYBCwCmDNrVoxk4ow2GtnkI23i+BXnGGZOPnn6tAYGyDl+xTmGxTmGxTh+1gn90AC4Hnh9+URJ84FPAtsDBwJbAw9KekVE7N/dIpqZmZmZDYd+GANwKfBYSW8rTZC0J/AgMA78JiJ2ITUUdvfBv5mZmZlZ63reAMgy+h4KvDK7Dej1wInAbaTuP9dK2hzYLCLu711JzczMzMwGXz90ASIibgMOqzK7NHJin6be9LGPLVIkM7P+0afJ9MzMbDD1/ApAo+olCzMzMzMzs/oGogHQYLIwMzMzMzOroy+6ADWgYrKw3hXHzMzMzGwwDUoDYC4wWW+hjRKBbb01ExMTHS7WcJuamnIMC3D8inMMi3H8inMMi3MMi3H8rBMGpQHQkI0Sgc2Z40RgBTn5SDGOX3GOYTGOX3GOYXGOYTGOn3XCQIwBIOUAGO91IczMzMzMBt2gNAAqJguTtG8Py2RmZmZmNnAGogFQJ1mYmZmZmZk1SOnYevhIegBY0etyDLitgLt6XYgB5vgV5xgW4/gV5xgW5xgW4/jV9uyI2LrXhahG0g9In2Ej7oqIV3WyPCXD3ABYGhHzel2OQeYYFuP4FecYFuP4FecYFucYFuP4WScMRBcgMzMzMzNrDzcAzMzMzMxGyDA3ABb1ugBDwDEsxvErzjEsxvErzjEszjEsxvGzthvaMQBmZmZmZjbdMF8BMDMzMzOzMm4AmJmZmZmNkKFrAEh6laQVklZK+kCvy9PPJK2StFzSMklLs2lPlvRjSf+T/X1SbvkPZnFdIelvelfy3pH0H5LulPSb3LSmYyZpPIv9SklfkKRu70svVInfiZL+mNXDZZLm5+Y5fjmStpN0maQbJF0v6T3ZdNfBBtWIoethgyTNkPRrSddmMfxYNt31sAE14uc6aN0TEUPzADYFbgR2ADYHrgWe1+ty9esDWAVsVTbts8AHsucfAD6TPX9eFs/HAttncd601/vQg5jtA+wB/KZIzIBfAy8CBHwfeHWv962H8TsRWFhhWcdvekyeDuyRPX8C8PssTq6DxWPoeth4DAWMZc83A/4b2Mv1sHD8XAf96Npj2K4AvBBYGRE3RcQjwHnAwT0u06A5GDgze34mcEhu+nkR8XBE3AysJMV7pETEz4F7yiY3FTNJTweeGBFXRkQAZ+XWGWpV4leN41cmIm6PiKuz5w8ANwDPxHWwYTViWI1jWCaSqezlZtkjcD1sSI34VeP4WdsNWwPgmcAfcq9vpfYP+6gL4EeSJiW9PZu2TUTcDukfJfDUbLpjW12zMXtm9rx8+ig7TtJ1WRehUrcBx68GSbOA3UlnD10HW1AWQ3A9bJikTSUtA+4EfhwRrodNqBI/cB20Lhm2BkClvm++z2l1e0fEHsCrgXdJ2qfGso5t86rFzLHc2FeAHYHdgNuBk7Ppjl8VksaAC4HjI+L+WotWmOYYUjGGrodNiIi1EbEbsC3pbPTcGos7hmWqxM910Lpm2BoAtwLb5V5vC9zWo7L0vYi4Lft7J3ARqUvPHdllRbK/d2aLO7bVNRuzW7Pn5dNHUkTckf0zXAd8jQ1dyxy/CiRtRjpwPSci/iub7DrYhEoxdD1sTUTcB0wAr8L1sGn5+LkOWjcNWwPgKmAnSdtL2hw4HFjc4zL1JUmPl/SE0nPgAOA3pHgdnS12NPDd7Pli4HBJj5W0PbATafCRNRmz7NL4A5L2yu7YcFRunZFTOmDIHEqqh+D4TZPt79eBGyLi87lZroMNqhZD18PGSdpa0szs+RbAK4Df4XrYkGrxcx20rur1KOR2P4D5pLs63Ah8uNfl6dcH6U5J12aP60uxAp4C/BT4n+zvk3PrfDiL6wpG9E4DwLmkS7OPks6+vLWVmAHzSD/uNwJfIsvKPeyPKvE7G1gOXEf6R/d0x69q/F5CusR/HbAse8x3HWxLDF0PG4/hC4Brslj9BviXbLrrYbH4uQ760bWHItxdzMzMzMxsVAxbFyAzMzMzM6vBDQAzMzMzsxHiBoCZmZmZ2QhxA8DMzMzMbIS4AWBmZmZmNkLcADAzK0DSUyQtyx5/kvTH7PmUpH/v0DaPl3RU9vy52faukbRjJ7bXRLnOk7RTL8tgZmb1+TagZmZtIulEYCoiTurgNh4DXA3sERF/lfQBYIuI+GjZciL9xq/rVFkqlG1f4E0R8bZubdPMzJrnKwBmZh0gaT9JF2fPT5R0pqQfSVol6bWSPitpuaQfSNosW25c0s8kTUr6YVlm0JKXAVdnB//zgeOBYyVdJmmWpBuyKw9XA9tJ+oqkpZKul/SxXPlWSfqkpCuz+Xtk27xR0jtyy50g6SpJ15XWzzKJXyLpWkm/kfS32eKXA6/IGilmZtan3AAwM+uOHYHXAAcD3wAui4hdgDXAa7JGwBeB10fEOPAfwCcqvM/ewCRARHwPOA04JSL2z+bPAc6KiN0j4hZSlu95pOyj+0p6Qe69/hARLyIduJ8BvB7YC/g4gKQDgJ2AFwK7AeOS9gFeBdwWEbtGxFzgB1l51gErgV2LBMrMzDrLZ2nMzLrj+xHxqKTlwKZkB83AcmAW6cB9LvDj1HuHTYHbK7zP04Ebamznloj4Ve71YZLeTvq9fzrwPOC6bN7iXBnGIuIB4AFJD0maCRyQPa7JlhsjNQguB06S9Bng4oi4PLe9O4FnkDVSzMys/7gBYGbWHQ9DOksu6dHYMABrHem3WMD12Rn5WtYAM2rMf7D0RNL2wEJgz4i4V9IZZes+nCvDw7np+TJ9KiK+Wr4RSePAfOBTkn4UER/PZs3IymhmZn3KXYDMzPrDCmBrSS8CkLSZpOdXWO4GYHaD7/lEUoNgtaRtgFc3WaYfAm+RNJaV6ZmSnirpGcBfIuIbwEnAHrl1ngNc3+R2zMysi3wFwMysD0TEI5JeD3xB0pak3+dTmX4w/X3g7Abf81pJ12TvcRPwiybL9CNJOwNXZt2SpoA3kRogn5O0DngUeCdA1shYExGVui6ZmVmf8G1AzcwGjKSLgPdFxP/0uix5kt4L3B8RX+91WczMrDp3ATIzGzwfIA3o7Tf3AWf2uhBmZlabrwCYmZmZmY0QXwEwMzMzMxshbgCYmZmZmY0QNwDMzMzMzEaIGwBmZmZmZiPEDQAzMzMzsxHy/wFJ/+aX4oI8ZgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "song_selected = [0, 1, 2, 3] \n", "for s in song_selected:\n", " output = chord_recognition_all(X_dict_CQT[s], ann_dict_CQT[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " title='Song: %s [CQT; HMM]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_STFT[s][0], result_HMM, chord_HMM, chord_labels, title=title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prefiltering Experiment\n", "\n", "The feature type, as shown by the previous examples, may have a crucial impact on the chord recognition result. Similarly, we showed in the [FMP notebook on chord recognition evaluation](../C5/C5S2_ChordRec_Eval.html) that enlarging the STFT window size may have a significant impact on the behavior of a chord recognizer. A similar effect can be achieved when applying [**temporal smoothing**](../C3/C3S1_FeatureSmoothing.html), where one computes for each chroma dimension a kind of local average over time. We now investigate the effect of temporal smoothing on the chord recognition accuracy starting with the three chromagram representations (`STFT`, `CQT`, `IIR`) each having a feature rate of $21.5~\\mathrm{Hz}$. Let $L\\in\\mathbb{N}$ be the length of the smoothing filter (measured in frames). For the smoothing, we apply one of the two functions introduced in the [FMP notebook on temporal smoothing and downsampling](../C3/C3S1_FeatureSmoothing.html), which use a **mean** or a **median**, respectively, for computing an average in a [centered fashion](../C2/C2_STFT-Conventions.html).\n", "\n", "* `libfmp.c3.smooth_downsample_feature_sequence` \n", "* `libfmp.c3.median_downsample_feature_sequence`\n", "\n", "We do not apply any downsampling, thus keeping the original feature rate at $21.5~\\mathrm{Hz}$. In the following, we consider a sweep of smoothing parameters $L\\in\\{1,3,5\\ldots,63,65\\}$. For example, the parameter $L=21$ corresponds to roughly one second of the audio recording. Since smoothing is applied before the actual pattern matching, we refer to this step as **prefiltering**. For each of the four song, we compute an evaluation curve that shows the $\\mathrm{F}$-measure values plotted over the smoothing parameter $L$. Furthermore, the mean curve averaged over the four songs is shown. We now show these curves for the three chromagrams (`STFT`, `CQT`, `IIR`) and the two chord recognizers (`template`, `HMM`)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:26.904547Z", "iopub.status.busy": "2024-02-15T08:57:26.904252Z", "iopub.status.idle": "2024-02-15T08:57:38.525013Z", "shell.execute_reply": "2024-02-15T08:57:38.524458Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "===== Prefiltering experiment using STFT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Prefiltering experiment using CQT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Prefiltering experiment using IIR-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def compute_mean_result(result_dict, song_selected):\n", " S = len(song_selected)\n", " result_mean = np.copy(result_dict[song_selected[0]])\n", " for s in range(1, S):\n", " result_mean = result_mean + result_dict[song_selected[s]]\n", " result_mean = result_mean / S\n", " return result_mean\n", "\n", "def plot_statistics(para_list, song_dict, song_selected, result_dict, ax, \n", " ylim=None, title='', xlabel='', ylabel='F-measure', legend=True):\n", " for s in song_selected:\n", " color = song_dict[s][1]\n", " song_id = song_dict[s][0]\n", " ax.plot(para_list, result_dict[s], color=color, \n", " linestyle=':', linewidth='2', label=song_id)\n", " ax.plot(para_list, compute_mean_result(result_dict, song_selected), color='k', \n", " linestyle='-',linewidth='2', label='Mean')\n", " if legend==True:\n", " ax.legend(loc='upper right')\n", " ax.set_title(title)\n", " ax.set_xlabel(xlabel)\n", " ax.set_ylabel(ylabel)\n", " ax.grid()\n", " if ylim is not None:\n", " ax.set_ylim(ylim)\n", " ax.set_xlim([para_list[0], para_list[-1]])\n", "\n", "def experiment_chord_recognition(song_selected, song_dict, X_dict, ann_dict, \n", " para_list, para_type=None, p=0.15, \n", " filt_len=None, filt_type='mean', detail=True):\n", " M = len(para_list)\n", " result_F_Tem = np.zeros(M)\n", " result_F_HMM = np.zeros(M)\n", " result_F_Tem_dict = {}\n", " result_F_HMM_dict = {}\n", " for s in song_selected:\n", " if detail is True: \n", " print('Processing:', song_dict[s][0])\n", " for m in range(M): \n", " if para_type == 'smooth':\n", " filt_len = para_list[m]\n", " if para_type == 'p':\n", " p = para_list[m]\n", " output = chord_recognition_all(X_dict[s], ann_dict[s][0], \n", " filt_len=filt_len, filt_type=filt_type, p=p)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " result_F_Tem[m] = result_Tem[2]\n", " result_F_HMM[m] = result_HMM[2]\n", " result_F_Tem_dict[s] = np.copy(result_F_Tem)\n", " result_F_HMM_dict[s] = np.copy(result_F_HMM) \n", " return result_F_Tem_dict, result_F_HMM_dict\n", "\n", "song_selected = [0, 1, 2, 3]\n", "para_list = np.arange(32) * 2 + 1 \n", "print('===== Prefiltering experiment using STFT-based chromagrams =====')\n", "result_STFT = experiment_chord_recognition(song_selected, song_dict, X_dict_STFT, \n", " ann_dict_STFT, para_list, para_type='smooth', \n", " p=0.15, filt_len=None, filt_type='mean')\n", "print('===== Prefiltering experiment using CQT-based chromagrams =====')\n", "result_CQT = experiment_chord_recognition(song_selected, song_dict, X_dict_CQT, \n", " ann_dict_CQT, para_list, para_type='smooth', \n", " p=0.15, filt_len=None, filt_type='mean')\n", "print('===== Prefiltering experiment using IIR-based chromagrams =====')\n", "result_IIR = experiment_chord_recognition(song_selected, song_dict, X_dict_IIR, \n", " ann_dict_IIR, para_list, para_type='smooth', \n", " p=0.15, filt_len=None, filt_type='mean')\n", "\n", "# Plot result\n", "fig, ax = plt.subplots(2, 3, figsize=(11, 7))\n", "#fig, ax = plt.subplots(2, 3, figsize=(9.5, 6))\n", "xlabel='Smoothing length (frames)'\n", "ylim = [0.3, 0.95]\n", "title='STFT, Template'\n", "plot_statistics(para_list, song_dict, song_selected, result_STFT[0], ax[0, 0], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "title='STFT, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_STFT[1], ax[1, 0], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "title='CQT, Template' \n", "plot_statistics(para_list, song_dict, song_selected, result_CQT[0], ax[0, 1], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "title='CQT, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_CQT[1], ax[1, 1], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "title='IIR, Template' \n", "plot_statistics(para_list, song_dict, song_selected, result_IIR[0], ax[0, 2], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "title='IIR, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_IIR[1], ax[1, 2], \n", " ylim=ylim, title=title, xlabel=xlabel)\n", "plt.tight_layout() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the STFT case and the **template-based chord recognizer**, the F-measure is $\\mathrm{F}=0.39$ for $L=1$. The recognition rates first improve with increasing $L$ and reach a maximum of roughly $\\mathrm{F}=0.55$ for $L$ between $20$ and $30$. Then, the rates decrease again when further increasing $L$. A similar trend (on a higher F-measure level) can be observed when using the CQT-based and IIR-based chromagrams. \n", "\n", "* In all cases (`STFT`, `CQT`, `IIR`), smoothing **removes temporal fluctuations and local outliers** in the features, thus improving the frame-wise classification result. \n", "* Also, the smoothing may **integrate nonsynchronous notes** that musically belong to the same chord—an effect we have seen in the [Bach example with the broken chords](../C5/C5S2_ChordRec_Eval.html). \n", "* On the other hand, smoothing **reduces the temporal resolution** and may prevent a recognizer from detecting chords of short duration. \n", "\n", "For the Beatles songs, a smoothing window corresponding to roughly one to two seconds of the audio seems to be a good trade-off between increased robustness to outliers and decreased temporal resolution. This trade-off, however, is highly dependent on the chord change rate of the underlying audio material used for the experiment.\n", "\n", "In the case of the **HMM-based chord recognizer**, temporal smoothing of the features has a less significant or even negative effect on the chord recognition accuracy. This strategy, as we discussed in [FMP notebook on HMM-based chord recognition](../C5/C5S3_ChordRec_HMM.html), already incorporates some context-aware **postfiltering** at the classification stage. Therefore, additional smoothing prior to the classification does not further improve the overall recognition result." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Self-Transition Probability\n", "\n", "In the context of HMM-based postfiltering, [Cho and Bello](https://ieeexplore.ieee.org/document/6691936) emphasized in their study the importance of [**self-transition probabilities**](../C5/C5S3_ChordRec_HMM.html). Even though the strengthening of certain musically prominent transitions such as the one from $\\mathbf{C}$ to $\\mathbf{G}$ (e.g., expressing a tonic–dominant relationship) may lead to a boost of certain musically meaningful chord changes, the main improvements come from **high self-transition probabilities** that essentially reduce the number of chord changes. \n", "This observation motivates the usage of a [**uniform transition probability matrix**](../C5/C5S3_ChordRec_HMM.html) in which all transitions are assigned the same (relatively small) probability value, except for the self-transitions which are assigned a much larger value. According to the study by [Cho and Bello](https://ieeexplore.ieee.org/document/6691936), even when using this uniform transition probability matrix, one obtains similar improvements to the ones when using more complex transition probability matrices. \n", "\n", "To define a [uniform transition probability matrix](../C5/C5S3_ChordRec_HMM.html), one needs to specify a parameter $p\\in[0,1]$ used for self-transitions encoded by the main diagonal. The non-diagonal probabilities are then given by \n", "\n", "$$\n", " q = \\frac{1-p}{I},\n", "$$\n", "\n", "where $I$ is the number of HMM states (in our scenario, we have $I=24$). In the following code cell, we present a small experiment, where we consider a sweep of self-transition parameters $p\\in[0, 0.02, 0.04, \\ldots, 0.98, 1]$. As can be observed, one obtains the best recognition rates of roughly $\\mathrm{F}=0.60$ for $p\\approx0.22$ (when using STFT-based chromagrams) and $\\mathrm{F}=0.80$ for $p\\approx0.18$ (when using CQT-based and IIR-based chromagrams). The parameter $p$ reflects properties with regard to the expected chord change rate, which very much depends on the statistics of the chord annotations and the feature rate used. In a data-driven machine learning context, the self-transition parameter can be regarded a **hyperparameter** which may be optimized using an independent **validation set**. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:38.527814Z", "iopub.status.busy": "2024-02-15T08:57:38.527626Z", "iopub.status.idle": "2024-02-15T08:57:55.860929Z", "shell.execute_reply": "2024-02-15T08:57:55.860373Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "===== Self-transition probability experiment using STFT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Self-transition probability experiment using CQT-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n", "===== Self-transition probability experiment using IIR-based chromagrams =====\n", "Processing: LetItB\n", "Processing: HereCo\n", "Processing: ObLaDi\n", "Processing: PennyL\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "song_selected = [0, 1, 2, 3]\n", "para_list = (np.arange(51)) * 0.02\n", "print('===== Self-transition probability experiment using STFT-based chromagrams =====')\n", "result_STFT = experiment_chord_recognition(song_selected, song_dict, X_dict_STFT, ann_dict_STFT, \n", " para_list, para_type='p', p=0.15, filt_len=None)\n", "print('===== Self-transition probability experiment using CQT-based chromagrams =====')\n", "result_CQT = experiment_chord_recognition(song_selected, song_dict, X_dict_CQT, ann_dict_CQT, \n", " para_list, para_type='p', p=0.15, filt_len=None)\n", "print('===== Self-transition probability experiment using IIR-based chromagrams =====')\n", "result_IIR = experiment_chord_recognition(song_selected, song_dict, X_dict_IIR, ann_dict_IIR, \n", " para_list, para_type='p', p=0.15, filt_len=None)\n", "\n", "# Plot result\n", "fig, ax = plt.subplots(1,3, figsize=(11, 3.5))\n", "xlabel='Transition probability'\n", "ylim = [0.3, 0.95]\n", "title='STFT, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_STFT[1], ax[0], ylim=ylim, title=title, xlabel=xlabel)\n", "title='CQT, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_CQT[1], ax[1], ylim=ylim, title=title, xlabel=xlabel)\n", "title='IIR, HMM'\n", "plot_statistics(para_list, song_dict, song_selected, result_IIR[1], ax[2], ylim=ylim, title=title, xlabel=xlabel)\n", "plt.tight_layout() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Musical Relevance: Class Imbalance\n", "\n", "As we have already noted before, automated harmony analysis and its evaluation based on reference annotations typically go along with significant simplifications. Therefore, evaluation measures (such as the F-measure) only give a very limited view on an algorithm's performance and the musical relevance of the recognition result. As a concrete example, let use consider a rather **dull chord recognizer** that, based on some global statistics of the song, decides on a single major or minor triad and outputs the corresponding chord label for all time frames. In the case of the song \"Ob-La-Di, Ob-La-Da\", this approach may recognize the song's key $\\mathrm{B}^\\flat$ major and outputs the same chord label for the tonic chord $\\mathrm{B}^\\flat$ over the entire duration of the song. As shown in the following code cell, our dull procedure achieves an F-measure of $\\mathrm{F}=0.551$. This does not seem to be too bad, in particular when considering that the template-based approach using a CQT-based chromagram only achieves an accuracy of $\\mathrm{F}=0.503$. \n", "\n", "* So, what does the value $\\mathrm{F}=0.551$ tell us? \n", "* Is our dull procedure \"better\" than the template-based approach? \n", "\n", "Rather than solving the task of chord labeling, our dull recognizer tells us more about the statistics of the underlying data—in our case about the occurrence of the most common chord. In general, in order to be able to better assess evaluation results, it is important to include information on the data distribution. In particular an **imbalance in the class distribution** may lead to surprisingly high evaluation measures, which does not say anything about the actual performance of the underlying classification approach. Just to round off this discussion, we note that the HMM-based approach yields an F-measure of $\\mathrm{F}=0.895$, which is much higher than $\\mathrm{F}=0.551$ of our dull approach. As the visualization shows (see, e.g., the section between frames $1700$ and $2000$), the HMM-based approach corrects some errors of the template-based approach, where the major chord $\\mathrm{E}^\\flat$ (reference) is confused with the minor chord $\\mathrm{E}^\\flat\\mathrm{m}$ (estimated). Such major–minor chord confusions are one of the most typical recognition errors encountered in automated procedure. \n", " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:55.863522Z", "iopub.status.busy": "2024-02-15T08:57:55.863335Z", "iopub.status.idle": "2024-02-15T08:57:56.577665Z", "shell.execute_reply": "2024-02-15T08:57:56.577002Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/zal/dev/Python_FMP_notebooks/FMP/C5/../libfmp/c5/c5s2_chord_rec_template.py:337: MatplotlibDeprecationWarning: The 'cmap' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", " cbar = plt.colorbar(im, cmap=eval_cmap, norm=eval_norm, boundaries=eval_bounds, ticks=eval_ticks)\n", "/Users/zal/dev/Python_FMP_notebooks/FMP/C5/../libfmp/c5/c5s2_chord_rec_template.py:337: MatplotlibDeprecationWarning: The 'norm' parameter to Colorbar has no effect because it is overridden by the mappable; it is deprecated since 3.3 and will be removed two minor releases later.\n", " cbar = plt.colorbar(im, cmap=eval_cmap, norm=eval_norm, boundaries=eval_bounds, ticks=eval_ticks)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "song_selected = [2] \n", "for s in song_selected:\n", " output = chord_recognition_all(X_dict_CQT[s], ann_dict_CQT[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " chord_dull = np.zeros(chord_Tem.shape)\n", " chord_dull[10, :] = 1 \n", " result_dull = libfmp.c5.compute_eval_measures(ann_dict_CQT[s][0], chord_dull) \n", "\n", " title='Song: %s [CQT; Dull]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_CQT[s][0], result_dull,\n", " chord_dull, chord_labels, title=title)\n", " title='Song: %s [CQT; Template]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_CQT[s][0], result_Tem, \n", " chord_Tem, chord_labels, title=title)\n", " title='Song: %s [CQT; HMM]' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_CQT[s][0], result_HMM, \n", " chord_HMM, chord_labels, title=title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Musical Relevance: Chord Label Reduction\n", "\n", "Another major issue in our chord recognition approach is the limitation to only $24$ chord classes corresponding to the $12$ major and $12$ minor triads. To account for more general settings, we reduced other chord types used in the reference annotations (such as seventh, augmented, and diminished chords) to the major and minor triads using some simple heuristics. In the following, we refer to this conversion as **triad reduction**. One obvious question is if chord recognition errors occur more often in passages where such chord type reductions were employed. To investigate this question, we consider a second reduced representation where we replace any chord type that is not included in the $24$ major and minor triads by the non-chord label $\\mathbf{N}$. In the following, we refer to this conversion as **non-chord reduction**. As an example, we consider the song \"Penny Lane\" where many such additional chord types occur in the original reference annotation. In the following plot, we show the resulting triad reduction and well as the non-chord reduction (where the non-chord label $\\mathbf{N}$ is represented by the white color)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:56.580549Z", "iopub.status.busy": "2024-02-15T08:57:56.580305Z", "iopub.status.idle": "2024-02-15T08:57:57.101186Z", "shell.execute_reply": "2024-02-15T08:57:57.099844Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for s in [3]:\n", " song_id = song_dict[s][0]\n", " fn_ann = song_dict[s][3]\n", " fn_ann_orig = fn_ann.replace('_simplified', '')\n", " \n", " # Read original annotation (Harte) and triad-reduced annotation\n", " ann_orig, _ = libfmp.c4.read_structure_annotation(fn_ann_orig)\n", " ann, _ = libfmp.c4.read_structure_annotation(fn_ann)\n", " # Replace in original annotation all labels that were reducued by non-chord label \n", " for k in range(len(ann)):\n", " if ann[k][2] != ann_orig[k][2]:\n", " ann_orig[k][2] = 'N'\n", "\n", " libfmp.b.plot_segments(ann, figsize=(12, 1.2), time_label='Time (seconds)', \n", " print_labels=False, colors=color_ann, alpha=1)\n", " plt.title('Song: %s: Triad reduction' % song_id) \n", " plt.show()\n", " libfmp.b.plot_segments(ann_orig, figsize=(12, 1), \n", " print_labels=False, colors=color_ann, alpha=1)\n", " plt.title('Song: %s: Non-chord reduction' % song_id)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we evaluate our HMM-based chord recognition approach, once using the reference annotation based on triad reduction and once the one based on non-chord reduction. Recall from the [FMP notebook on chord recognition evaluation](../C5/C5S2_ChordRec_Eval.html) the following properties of our evaluation measures based the notion of relevant items:\n", "\n", "1. An **item** $(n, \\lambda)$ is an element of the set $\\mathcal{I}=[1:N]\\times \\Lambda$. In this convention, the non-chord label $\\mathbf{N}$ is left unconsidered.\n", "2. As a result, the **relevant** (or **positive**) items are pairs $(n, \\lambda^\\mathrm{Ref}_{n})$ with $\\lambda^\\mathrm{Ref}_{n}\\not=\\mathbf{N}$.\n", "3. Since our HMM-based chord recognition approach yields an estimate $\\lambda_{n}\\in\\Lambda$ for each frame $n\\in[1:N]$, the pair $(n,\\lambda_{n})$ is counted as a **false positive** in the case that the frame in the reference annotation is $\\lambda^\\mathrm{Ref}_{n}=\\mathbf{N}$.\n", "\n", "With this in mind, let us have a look at the chord recognition result shown in the subsequent figure. Using the reference annotation based on the **triad reduction**, we obtain the precision $\\mathrm{P}=0.704$, the recall $\\mathrm{R}=0.726$, and the F-measure $\\mathrm{F}=0.715$. Using the reference annotation based on the **non-chord reduction**, we obtain $\\mathrm{P}=0.485$, $\\mathrm{R}=0.925$, and $\\mathrm{F}=0.636$. Note that the **increase in recall** exactly supports our hypothesis that **chord recognition errors often occur for reduced chord labels**. The **decrease in precision** is due to the fact that our chord recognizer outputs a chord label $\\lambda_n\\in\\Lambda$ for every frame $n\\in[1:N]$. This result may be improved by allowing the chord recognizer to also output the non-chord label, e.g., in the case where the output probabilities of all $24$ chord labels fall below a certain threshold." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:57:57.105283Z", "iopub.status.busy": "2024-02-15T08:57:57.105008Z", "iopub.status.idle": "2024-02-15T08:57:57.644336Z", "shell.execute_reply": "2024-02-15T08:57:57.643542Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "song_selected = [3] \n", "for s in song_selected:\n", " output = chord_recognition_all(X_dict_CQT[s], ann_dict_CQT[s][0], p=0.15)\n", " result_Tem, result_HMM, chord_Tem, chord_HMM, chord_sim = output\n", " song_id = song_dict[s][0]\n", " fn_ann = song_dict[s][3]\n", " fn_ann_orig = fn_ann.replace('_simplified', '') \n", " ann_orig, _ = libfmp.c4.read_structure_annotation(fn_ann_orig)\n", " output = libfmp.c5.convert_chord_ann_matrix(fn_ann_orig, chord_labels, Fs=Fs_X_dict_CQT[s],\n", " N=X_dict_CQT[s].shape[1], last=False) \n", " ann_matrix_N = output[0] \n", " output = chord_recognition_all(X_dict_CQT[s], ann_matrix_N, p=0.15)\n", " result_Tem_N, result_HMM_N, chord_Tem_N, chord_HMM_N, chord_sim_N = output \n", " title = 'Triad reduction: %s [CQT; HMM] ' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_dict_CQT[s][0], result_HMM, chord_HMM, chord_labels, title=title) \n", " title = 'Non-chord label: %s [CQT; HMM] ' % song_dict[s][0]\n", " plot_chord_recognition_result(ann_matrix_N, result_HMM_N, chord_HMM_N, chord_labels, title=title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "In this notebook, we introduced the Beatles collection with its reference chord annotations, which has been of central importance in the development of automated chord recognition procedures. Based on some example songs, we illustrated the delicate interplay of the various feature extraction, filtering, and pattern matching components composing a chord recognition system—a phenomenon that is not limited to chord recognition but occurs in most music analysis and retrieval tasks. In particular, we conduct some experiments which show how the various procedures depend on the type of the underlying **chroma feature** as well as on parameters that control **temporal** and **spectral aspects**. For a detailed analysis on the interrelation of different chord recognition components, we refer to the excellent article by [Cho and Bello](https://ieeexplore.ieee.org/document/6691936). \n", "\n", "* In summary, one can say that temporal feature smoothing is an easy way to improve the overall evaluation measure of chord recognizers that work in a purely frame-wise fashion. However, the \"optimal\" smoothing length very much depends on the chord duration distribution.\n", "\n", "* Rather than using an averaging filter of fixed length, an alternative approach is to employ musically informed [adaptive segmentation techniques](../C6/C6S3_AdaptiveWindowing.html). For example, chord changes often go along with beat positions. Therefore, filtering could be performed in a [**beat-synchronous**](../C6/C6S3_AdaptiveWindowing.html) fashion, where each analysis window is determined by two consecutive beat positions. However, finding beat positions with automated methods is a challenging task by itself.\n", "\n", "* Instead of modifying the features prior to the classification stage, another general approach is to perform some kind of filtering within the pattern matching step, which is exactly what the HMM-based approach is doing. We saw that the combination of **postfiltering** (using HMMs) and **prefiltering** (using feature smoothing) did not substantially improve the overall recognition result.\n", "\n", "* In the Beatles collection, there are a number of the songs that deviate from the expected [reference pitch](../C1/C1S3_FrequencyPitch.html) $\\mathrm{A4}$ with center frequency $440~\\mathrm{Hz}$. As discussed in the [FMP notebook on transposition and tuning](../C3/C3S1_TranspositionTuning.html), such deviations may have fatal consequences on the quality of the chromagrams that serve as input to the chord recognizers. Therefore, one crucial step in a chord recognition system is to compensate for tuning effects by performing a [tuning estimation](../C3/C3S1_TranspositionTuning.html) and then to adjust the [center frequencies](../C1/C1S3_FrequencyPitch.html) used for the pitch-based logarithmic partitioning of the frequency axis.\n", "\n", "* Although the Beatles collection is limited to only one rock band, experimenting with this dataset can be very instructive when developing and comparing chord recognition systems. In particular when using data-driven techniques (e.g., recent deep learning techniques), it is important to split up the dataset into disjoint subsets called **training set**, **validation set**, and **test set**. The training set can be used to adapt the chord templates or to learn certain HMM parameters. The validation set may be used to adjust hyperparameters that determine, for example, the HMM architecture. Finally, the test set should be used to test and evaluate the final system. \n", "\n", "* To reduce the dependency of the overall procedure on the partitioning of the dataset, one often performs multiple rounds of **cross-validation**. One way is to randomly partition the dataset into $K$ subsets of equal size (the so-called **folds**). One of the subsets is used as the test set, whereas the union of the other $K-1$ subsets is used as the training and validation set. The cross-validation is repeated $K$ times with each of the $K$ subsets serving exactly once as the test set. The $K$ results are then combined, e.g., by taking the average of the considered evaluation measure, to form a single estimate. This approach, which is commonly known as **$K$-fold cross-validation**, is frequently used to evaluate chord recognition procedures that involve some kind of training." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Christof Weiß.\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 }