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

Cyclic Tempogram

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\n", "Following Section 6.2.4 of [Müller, FMP, Springer 2015], we introduce in this notebook the concept of cyclic tempograms. This idea was originally proposed by Kurth et al. and then adapted by Grosche et al. An application of cyclic tempogram features for music structure analysis is described in Thoshkahna et al. A MATLAB implementation can be found in the Tempogram Toolbox.\n", " \n", "

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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Definition (Continuous Case)\n", "\n", "The various pulse levels can be seen in analogy to the existence of harmonics in the pitch context. To reduce the effects of harmonics, we introduced the concept of [chroma-based audio features](../C3/C3S1_SpecLogFreq-Chromagram.html) (see Section 1.3.2 of [Müller, FMP, Springer 2015]). By identifying pitches that differ by one or several octaves, we obtained a cyclic mid-level representation that captures harmonic information while being robust to changes in timbre. Inspired by the concept of chroma features, we now introduce the concept of cyclic tempograms. The idea is to form tempo equivalence classes by identifying tempi that differ by a power of two. More precisely, we say that two tempi $\\tau_1$ and $\\tau_2$ are **octave equivalent**, if they are related by $\\tau_1 = 2^{k} \\tau_2$ for some $k\\in \\mathbb{Z}$. For a tempo parameter $\\tau$, we denote the resulting tempo equivalence class by $[\\tau]$. For example, for $\\tau=120$ one obtains $[\\tau]=\\{\\ldots,30,60,120,240,480\\ldots\\}$. Given a tempogram representation $\\mathcal{T}:\\mathbb{Z}\\times \\mathbb{R}_{>0} \\to \\mathbb{R}_{\\geq 0}$, we define the **cyclic tempogram** by \n", "\n", "\\begin{equation}\n", " \\mathcal{C}(n,[\\tau]) := \\sum_{\\lambda\\in[\\tau]} \\mathcal{T}(n,\\lambda).\n", "\\end{equation}\n", "\n", "Note that the tempo equivalence classes topologically correspond to a circle. Fixing a reference tempo $\\tau_0$, the cyclic tempogram can be represented by a mapping $\\mathcal{C}_{\\tau_0}:\\mathbb{Z}\\times \\mathbb{R}_{>0} \\to \\mathbb{R}_{\\geq 0}$ defined by\n", "\n", "\\begin{equation}\n", " \\mathcal{C}_{\\tau_0}(n,s):= \\mathcal{C}(n,[s\\cdot\\tau_0])\n", "\\end{equation}\n", "\n", "for $n\\in \\mathbb{Z}$ and a **scaling parameter** $s\\in\\mathbb{R}_{>0}$. Note that \n", "\n", "\\begin{equation}\n", "\\mathcal{C}_{\\tau_0}(n,s)=\\mathcal{C}_{\\tau_0}(n,2^ks)\n", "\\end{equation}\n", "\n", "for $k\\in\\mathbb{Z}$. In particular, $\\mathcal{C}_{\\tau_0}$ is completely determined by its values $s\\in[1,2)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Definition (Discrete Case)\n", "\n", "So far we have assumed that the space of tempo parameters is continuous. In practice, one can compute a cyclic tempogram $\\mathcal{C}_{\\tau_0}$ only for a finite number of parameters $s\\in[1,2)$. To compute a value $\\mathcal{C}_{\\tau_0}(n,s)$ one needs to sum the values $\\mathcal{T}(n,\\tau)$ for tempo parameters $\\tau\\in \\{s\\cdot\\tau_0\\cdot2^k\\,\\mid\\,k\\in\\mathbb{Z}\\}$. In other words, the required tempo values are spaced exponentially on the tempo axis. Therefore, as with chroma features, where one uses a log-frequency axis, one requires a **log-tempo axis** for computing a cyclic tempogram. To this end, the tempo range is sampled in a logarithmic fashion such that each tempo octave contains $M$ **tempo bins** for a given number $M\\in\\mathbb{N}$. Then one obtains a discrete cyclic tempogram $\\mathcal{C}_{\\tau_0}$ simply by adding up the corresponding values of the different octaves as before. This yields an $M$-dimensional feature vector for every time frame $n\\in\\mathbb{Z}$, where the cyclic tempo axis is sampled at $M$ positions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cyclic Fourier Tempogram\n", "\n", "Starting with a tempogram representation, we now show how to implement a cyclic tempogram. In the following, we start with a Fourier tempogram (see Section 6.2.2 of [Müller, FMP, Springer 2015]). The cyclic version is referred to as **cyclic Fourier tempogram** denoted by $\\mathcal{C}^\\mathrm{F}_{\\tau_0}$. In the following, we use a click track of increasing tempo (from $110$ to $130~\\mathrm{BPM}$) as an example.\n", "\n", "\n", "\n", "\n", "\n", "\n", "We proceed in three steps:\n", "\n", "* First, we compute a Fourier tempogram with a linear tempo axis corresponding to $\\Theta=[30:600]$\n", "* Then, we convert the linear tempo axis into a logarithmic tempo axis. In this step, we use a reference tempo $\\tau_0=30~\\mathrm{BPM}$ and cover four tempo octaves each containing $M=40$ tempo bins.\n", "* Finally, we cyclically fold the tempo axis by identifying tempo octaves. This yields the $M$-dimensional cyclic tempogram." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:48:58.803341Z", "iopub.status.busy": "2024-02-15T08:48:58.803031Z", "iopub.status.idle": "2024-02-15T08:49:03.711910Z", "shell.execute_reply": "2024-02-15T08:49:03.711324Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import os, sys, librosa\n", "from scipy import signal\n", "from scipy.interpolate import interp1d\n", "from matplotlib import pyplot as plt\n", "import matplotlib.gridspec as gridspec\n", "import IPython.display as ipd\n", "import pandas as pd\n", "\n", "sys.path.append('..')\n", "import libfmp.b\n", "import libfmp.c2\n", "import libfmp.c6\n", "import libfmp.c4\n", "\n", "%matplotlib inline\n", "\n", "def compute_cyclic_tempogram(tempogram, F_coef_BPM, tempo_ref=30,\n", " octave_bin=40, octave_num=4):\n", " \"\"\"Compute cyclic tempogram\n", "\n", " Notebook: C6/C6S2_TempogramCyclic.ipynb\n", "\n", " Args:\n", " tempogram (np.ndarray): Input tempogram\n", " F_coef_BPM (np.ndarray): Tempo axis (BPM)\n", " tempo_ref (float): Reference tempo (BPM) (Default value = 30)\n", " octave_bin (int): Number of bins per tempo octave (Default value = 40)\n", " octave_num (int): Number of tempo octaves to be considered (Default value = 4)\n", "\n", " Returns:\n", " tempogram_cyclic (np.ndarray): Cyclic tempogram tempogram_cyclic\n", " F_coef_scale (np.ndarray): Tempo axis with regard to scaling parameter\n", " tempogram_log (np.ndarray): Tempogram with logarithmic tempo axis\n", " F_coef_BPM_log (np.ndarray): Logarithmic tempo axis (BPM)\n", " \"\"\"\n", " F_coef_BPM_log = tempo_ref * np.power(2, np.arange(0, octave_num*octave_bin)/octave_bin)\n", " F_coef_scale = np.power(2, np.arange(0, octave_bin)/octave_bin)\n", " tempogram_log = interp1d(F_coef_BPM, tempogram, kind='linear', axis=0, fill_value='extrapolate')(F_coef_BPM_log)\n", " K = len(F_coef_BPM_log)\n", " tempogram_cyclic = np.zeros((octave_bin, tempogram.shape[1]))\n", " for m in np.arange(octave_bin):\n", " tempogram_cyclic[m, :] = np.mean(tempogram_log[m:K:octave_bin, :], axis=0)\n", " return tempogram_cyclic, F_coef_scale, tempogram_log, F_coef_BPM_log\n", "\n", "def set_yticks_tempogram_cyclic(ax, octave_bin, F_coef_scale, num_tick=5):\n", " \"\"\"Set yticks with regard to scaling parmater\n", "\n", " Notebook: C6/C6S2_TempogramCyclic.ipynb\n", "\n", " Args:\n", " ax (mpl.axes.Axes): Figure axis\n", " octave_bin (int): Number of bins per tempo octave\n", " F_coef_scale (np.ndarra): Tempo axis with regard to scaling parameter\n", " num_tick (int): Number of yticks (Default value = 5)\n", " \"\"\"\n", " yticks = np.arange(0, octave_bin, octave_bin // num_tick)\n", " ax.set_yticks(yticks)\n", " ax.set_yticklabels(F_coef_scale[yticks].astype((np.unicode_, 4)))\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_ClickTrack-BPM110-130.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, \n", " gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "X, T_coef, F_coef_BPM = libfmp.c6.compute_tempogram_fourier(nov, Fs_nov, \n", " N=500, H=10, \n", " Theta=np.arange(30, 601))\n", "tempogram = np.abs(X)\n", "tempo_ref = 30\n", "octave_bin = 40\n", "octave_num = 4\n", "output = compute_cyclic_tempogram(tempogram, F_coef_BPM, \n", " tempo_ref=tempo_ref, octave_bin=octave_bin, octave_num=octave_num)\n", "tempogram_cyclic = output[0]\n", "F_coef_scale = output[1]\n", "tempogram_log = output[2]\n", "F_coef_BPM_log = output[3]\n", "\n", "fig, ax = plt.subplots(3, 1, gridspec_kw={'height_ratios': [1.5, 1.5, 1]}, figsize=(7, 8)) \n", "\n", "# Fourier tempogram\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram, ax=[ax[0]],T_coef=T_coef, F_coef=F_coef_BPM,\n", " title='Fourier tempogram', \n", " ylabel='Tempo (BPM)', colorbar=True);\n", "ax[0].set_yticks([F_coef_BPM[0],100, 200, 300, 400, 500, F_coef_BPM[-1]]);\n", "\n", "# Fourier tempogram with log tempo axis\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram_log, ax=[ax[1]], T_coef=T_coef,\n", " title='Fourier tempogram with log-tempo axis', \n", " ylabel='Tempo (BPM)', colorbar=True);\n", "yticks = np.arange(octave_num) * octave_bin\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(F_coef_BPM_log[yticks].astype(int));\n", "\n", "# Cyclic Fourier tempogram\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram_cyclic, ax=[ax[2]], T_coef=T_coef,\n", " title='Cyclic Fourier tempogram', \n", " ylabel='Scaling', colorbar=True);\n", "set_yticks_tempogram_cyclic(ax[2], octave_bin, F_coef_scale, num_tick=5)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cyclic Autocorrelation Tempogram\n", "\n", "Simlilarly, starting with the autocorrelation tempogram (see Section 6.2.3 of [Müller, FMP, Springer 2015]), the cyclic version is referred to as **cyclic autocorrelation tempogram** denoted by $\\mathcal{C}^\\mathrm{A}_{\\tau_0}$. Again using the reference tempo $\\tau_0=30~\\mathrm{BPM}$ and the click track as an example, the following figure shows the original autocorrelation tempogram, the tempogram with logarithmic tempo axis, and the cyclic tempogram using $M=40$ tempo bins per octave.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:49:03.742340Z", "iopub.status.busy": "2024-02-15T08:49:03.742062Z", "iopub.status.idle": "2024-02-15T08:49:04.202659Z", "shell.execute_reply": "2024-02-15T08:49:04.201892Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_ClickTrack-BPM110-130.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, \n", " gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "N = 500 \n", "H = 10\n", "Theta = np.arange(30, 601)\n", "output = libfmp.c6.compute_tempogram_autocorr(nov, Fs_nov, N=N, H=H, \n", " norm_sum=False, Theta=np.arange(30, 601))\n", "tempogram = output[0]\n", "T_coef = output[1]\n", "F_coef_BPM = output[2]\n", "\n", "tempo_ref = 30\n", "octave_bin = 40\n", "octave_num = 4\n", "output = compute_cyclic_tempogram(tempogram, F_coef_BPM, tempo_ref=tempo_ref, \n", " octave_bin=octave_bin, octave_num=octave_num)\n", "tempogram_cyclic = output[0]\n", "F_coef_scale = output[1]\n", "tempogram_log = output[2]\n", "F_coef_BPM_log = output[3]\n", "\n", "fig, ax = plt.subplots(3, 1, gridspec_kw={'height_ratios': [1.5, 1.5, 1]}, figsize=(7, 8)) \n", "\n", "# Autocorrelation tempogram\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram, ax=[ax[0]], T_coef=T_coef, \n", " F_coef=F_coef_BPM, \n", " figsize=(6,3), ylabel='Tempo (BPM)', colorbar=True,\n", " title='Autocorrelation tempogram');\n", "ax[0].set_yticks([Theta[0],100, 200, 300, 400, 500, Theta[-1]]);\n", "\n", "# Autocorrelation tempogram with log tempo axis\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram_log, ax=[ax[1]], T_coef=T_coef, \n", " figsize=(6,3), ylabel='Tempo (BPM)', colorbar=True,\n", " title='Autocorrelation tempogram with log-tempo axis');\n", "yticks = np.arange(octave_num) * octave_bin\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(F_coef_BPM_log[yticks].astype(int));\n", "\n", "# Cyclic autocorrelation tempogram\n", "im_fig, im_ax, im = libfmp.b.plot_matrix(tempogram_cyclic, ax=[ax[2]], T_coef=T_coef, \n", " figsize=(6,2), ylabel='Scaling', colorbar=True,\n", " title='Cyclic autocorrelation tempogram', );\n", "set_yticks_tempogram_cyclic(ax[2], octave_bin, F_coef_scale, num_tick=5)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tempo Harmonics and Subharmonics\n", "\n", "As we discuss in previous notebooks, the [Fourier tempogram](../C6/C6S2_TempogramFourier.html) emphasizes tempo harmonics, while the [autocorrelation tempogram](../C6/C6S2_TempogramAutocorrelation.html) emphasizes tempo subharmonics. These properties, as illustrated in the following figure, are also reflected by the cyclic versions of the tempograms. In the **cyclic Fourier tempogram** of the click track, the **tempo dominant** is visible as the weak increasing line starting with $s=1.33$ at time $t=0$; in the **cyclic autocorrelation tempogram** the **tempo subdominant** appears as a weak increasing line starting with $s=1.2$ at time $t=0$. Furthermore, the next figure also shows columnwise normalized versions as well as versions using a small tempo resolution ($M=15$ tempo bins).\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:49:04.205808Z", "iopub.status.busy": "2024-02-15T08:49:04.205599Z", "iopub.status.idle": "2024-02-15T08:49:07.286484Z", "shell.execute_reply": "2024-02-15T08:49:07.285884Z" } }, "outputs": [ { "data": { "image/png": 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HP4gtogrr7aKuhpTfWGiJ7TdbPnaM3qftDH0m+mmKDY2JnfeoWKXBqS+DwQDz8/OrvgM2BMGqyHZdri/h+PHjOcXt0KFDOcVOfLLwyCOP5FQ5UUlFmZNwM12f3i/rUsfKygqOHj2K3bt35+qLrUuYg6xL6IGsHzlyBAAg78gcPXo081lAPoRDwiyARIFut9uYn59Hs9nEjh07AJzyOfoxPpCEOYi6etZZZwEAdu3aldXV6XSy8I9Go5FTYnft2oX5+flcXYuLizlb5B68bdu2LGRO6pqens6FTOjPz4ZIdDqd3Oc9PT2dW9fqq1Vx9ecc2q+fLFg/bv2KLivnEVoG8orxYDBYpd7G1OXBYJC1o2PLNdrfx+KnY0/6YutF/n9cNThEHfz2phoQO47jAMVhIo7jOE79mLTf3lQDYmbGyZMn0e120e12cezYMSwtLWFpaQnz8/OZiisvlYlyJccKIYVYt2FfprMvhYk6bF9WkxfI7EtjVp2LqbmamNJrX8qyMacx5VVUUFFqtWJcpthZNVvbJP1p/0RJtC9hiZ1WORaFVGK4tF0xxdPaFYoh1jFYui6tQusX2vSyVql1vGzsF7r+FV9ks8YqxNIn9sU1vd0qtXI9hz4nacPGz9t+sp9fqP+AUw5N6pP2JKZdvgc61j3Wzqho5cypN/1+H0ePHl2lCGulETj10lhsvdfr5R6xHjp0KBcreuDAgdy6vE8h7N+/P/eS08MPP5yL6bWxzvv37wcRZcccOHAAzJwpsMyMRx99NDsPUXzFRomVFbVyeXk5l2VBFE5RYHfu3AnglEIsL4Kdc845AE4pyeeee25Old2zZ0/2RLLRaGDbtm1g5syuubm53HnNzc1lNsq5y1MceRol+8UHCtu2bcv16ezsbHafk3OV89NKOnDqO2szXuhl7bvsulbF7bFlqq59Yazo/QXrl2zZIlW1qKxVdovKlrEeZddDEQ61MWm/7XcNx3E2FXV49OY4juNUpw5+e1MNiJmTlGfdbheLi4s4ceIEFhcXM7VY4sYkrlenZtNpoKSusrZCil5RqipJi6UVTgC55VCMqd1uiSmvsq4zEUxPT2eK6+zsbKbKzszM5FRQnd2gLPY0FKMcUoitrXpdFE5ZDinHVhEtSmVm1VD9ueo30rVaa+OcpU3pD1GotVIbirW2SnHoM419nvozDz0hsDHYVsnXfab3aYXYqrH23G1fCVWUW/u0QtqSt/T7/T5ardaqVIS2b8ZVJCbtWJ1q9Pt9HDt2LMvaIOhMCVXWe71eLkPBoUOHMlUVSGJuJRYWSK41HWe6tLSUU4hnZ2fRaDRyMbZaSdy+fTuazWa2/8ILL8RgMMCePXuyMgsLC1mmBFFkRUEWRVzWV1ZW0G63s/J2vyinck69Xg+tVitTvUWZ3blzZ06VFUVY0ofJOUt5G5sr6btkH5BP7UV0Ks+xzQYTqkv7G63i2rRhUl/sqaj4sNi6zVOsv/9Wba2SMaEqw8TWrle9m4lJ++1NNSB2HMepg9LgOI7jVKcOfntTDYiLVF0b16njJuW/juMpU4h1PTrGU8eWijoryqLktdWxqDb2s+r5FNli/0TVlOwEOlZ4mNjYmG1VlD2tnoYUTuCUAqEVbukf21cxdTiksIYyeMQUfq2YhmJ29Wel7Y3FWa+l6inoc9cqtVbYq3xu9pxjTydCFPWb/YxFVZK/ULYVm/963BjiSTtWpxpElPkeTVncp80M0Gg0crGwO3fuzOWXnZqayrImCDrP7VlnnZVTkHu9HjqdzirVWOh2u5iZmckpuv1+P9dGv9/P5TEGVsfOSoywZB0Q5dSWt7G3ReW1X5Py/X4/973Q+Wxjyqv0uazLd1pnOtDfUxvXW6Ti2jy6Ut8wT0Wrrg9TtqzdcdgqKu+o1MFvb6oBseM4DjD5R2+O4zjOcEzab6/bgJiI3gngSgAHmfnSwP5/C+Alyo5LAJzNzEfS/U0AtwF4kJmvrNhmlp+QmXHGGWeg3W5ncbM2bjj01r38iospYHZbSMXU2RJEFdZ5a0NT6xZlTKh67qF1G1+q7dQKsbXHxsUCq6ZVzJZ1PG6VbAFa4Qyp7Fq919vtX+zctV2hDB5FCrFVKHT/WUXWxjPbuFlLSLUI2RA6Tn+eMbXd/pXZEDvv2DG2L0M2hq5jidPWn7Oct83FuRbUQWnYqJxuv91oNLBjx45VU8FaBdjmy7VZKJg5F0MsT8aEfr+fTY0bamN5eTmnKA8GA0xNTeXq0OVXVlay+4qUHwwGOUVZP3EUf2mVUa18a7+n43ZD5aXuYcrr76V+1yOmyg6rnBbVJetabdZ2jqueDnO8K7X1ZBi/TUSPB/BnatN3A/hVZn6LKnMFgA8B+Ha66f3MfF1RvaPPj1rOTQCeFdvJzP+FmS9j5ssA/DKAT4pTTXkdgHvW0T7HcTYh8mNF/pyhuAnutx3HOc0M47eZ+WvKDz0VwAKADwSKflrKlQ2GgXVUiJn5U0R0UcXiVwG4WVaI6HwAzwXwGwD+ddU2G40GZmdnc3lsbayiKFPyK1F+kdhfJzprQpVcgzqGVCuGOkOCzadrMycUKYyxWNlYjKpW62LxsDaTQyh7QsgOGz9sbZE+C6maRf2oy4WyKuh1u832hV4vWrZ9GsrTG4rTtXZYpda2ZW21+0Pqa1EGjCI1uEiltuVCfRBajpWzn3HoPOUtd+lf/T0M2bQWSrErxKNxuv22zJ6m43MB5HIGA6uncdX5bkPbxM9prAqtb7qiCAvMnPnEWHm5x8TqCGF9U9mTLrtNK6v6+xaqL3R8zFdWYZxjY3U5jmZEv/0MAP/IzPeN2/56KsSVIKJZJIrE+9TmtwB4A4DwnLaO4zgR5IeL/FUo/3giulP9HSeia0yZK4jomCrzq+tl/0bA/bbjOGtJwG/vJqLb1N/VkUNfDPXD3PB0IrqLiD5GRE8ss6EOzxOfB+B/qRg0iV+7PY0BKSTtpKuBZLYemW99ZWUly4soM8MBq+MZtdpWpIzGsAphalP2pzM22Hy2clyVXL/DouuxSnHofG1+5Jj6GEIrmVUoi5e2fRFSR22WiZCyGFu38cMh1daqs1Iu1Deh5aLPs4hQDJ5Vg2PqcEgZt8QU7KL2Zbvtt1C8uL6mRAnu9/tZjtGQ7druWGz3sAyjNDDz1wBcltrSBPAg4o/fKr3PsAUY2W9rn33BBRdgdnZ2lbJqFWP75EbnuxXExwP5J3ZCWb5Zu9/WUVZeVOUQVVTVYX1FlfLrocS6uuusF+Y7dYiZ9xWVJ6IOgOcjCd+y3AHgQmY+SUTPAfBBABcX1TdxhRirR/eXA3g+Ed0L4L0A/hkRvTt2MDPfyMz7mHmfffHCcZytx7AKsWHNHr9tckb229pny1TEjuNsbUb0288GcAczP2x3MPNxZj6ZLn8UQJuIdhdVNlGFmIjOBPBjAF4q25j5l5GO9lOl4fXM/NLQ8YH6MDc3l82KNTU1lctxKmW00mdn9CpSBJSNq9oNqWQ6PljH6dp2YzljY22XqQwxdc2em1U7Q+pr1WwOVdoTQvG/VcpbG0N1FMXA6hhnvRwqX6b4hhTuKmUsRQptSFWSz9/aGlLNQ2ibypRYKSvldOxv6A9ApgJre2VGOj07nY7t1zPWrYVCLN8pxW4iuk2t38jMN0YOL338BuAhJH7p7pGN3MCspd8mSrJBWGW16tMeTWyWM91WEWXxt2XlqxzjOE6YgN+uQu49BlPfuQAeZmYmoqchEYAPF1W2nmnXbgZwBZKb0QMArgXQBgBmviEt9tMAbmHm+WAljuM4IzDsozdg7R+/bUTcbzuOMymGGRBT8h7DPwfwC2rbq4DMV70QwKuJaAXAIoAXc4nSsp5ZJq6qUOYmJGl+YvtvBXDrWtnkOM7mZ0SlASh5/KaWP0pEbyOi3cx8aAxTa4f7bcdxJsGwfpuZFwDsMttuUMtvBfDWYWyow0t1a0aj0cgmwpC0OMCpx8zymF3S5dgwBv24K5R+Syh7JB1LkWVfXAuVE4Z9US30WF/qCdluQwGsLbFjdL1lj7WLQgqKwgvssk5AH3qZLkYo/KDokb8NUQiFIpSFeBSFScRCbfR+HZrQ7/dz20KEQl7kWgtdU6Hpke1nHgon0W3peuSFVQlL0jbrMImlpaUsNGJpaSkrq0MldDvjhkyMmH94TR+/OdUIhR5Yxn3JMsSw4Q0eDuE468cYfnvN2FQDYsdxHGD4fJbr8fjNcRzHqc6k88dvugGxfpFOfm3YtGOiCusJPHT6M5tWKkYVxUAreKGXwsommYi1E7LNtmXriqnDseXYuRapw1XGCLH2rWIt+2LTExfVb23RNuv/VoXV+0KfW5VptnX7sWspps5qeyRloFZjRXmVdSlv27DXVNHLaqE+teXtsn5ZVSa9GQwG2fToALJlW0afo7ZBTxozDqOETKzH4zenGlX9qOM4m5dR/PZas+kGxI7jOJN2rI7jOM5wTNpvb6oBscQHa0VNtmtFttlsZiqxjScOqZdAeGpd3a5WNEPql1UbrUKs2xqGUJxsVQW4isoZ2hbqg7L+idmqy8QmDQkp6FX6yqq9sqw/H5kwQuoMKaL9fj+qXMuyVVftudtyof4KXXNyHfd6vSxV2dLSUhafK2nLJJY3dO1ZZdf2e5FtUj6mGItiHVJ/9ffQTtcc+i6E+mwU6qA0OI7jONWpg9+uNCAmotC89McA3M7Md66pRY7jOGNQB8c6adxnO46zkaiD366qEO9L//4yXX8ugC8AeBUR/QUzv3k9jBsWeUtRq1GiNklHa3VYlmW9SCEGitXPUPmQOhhTQG35UJs2FjhUrkhxtHbEziOmjseU5diEClr902VCEzxIO/KZ6RjeUAxxWZ+XxRlLezpOV6Z+lcwIoUwINs5Y/pddJ9a+WFmrzsp/naVBVOF+v4/l5eWcOmvrjCnjRf0VUslD5xEqr+vTzs1mkpAy+rNttVpDTVJTxKQdaw3YED7bcRxHmLTfrjog3gXgKZxOg0dE1wL4/wH8KIDbAbhzdRynFsjgeovjPttxnA1DHfx21db3Auip9WUkszYtEtFS6AAieieAKwEcZOZLA/uvAPAhAN9ON72fma+rcmwR8qa6ncZTVGCJG5bOb7fb2TFanSpT8vS2kGJZ9S90nG3fKpIhRbQoK4C1vyzGNaZex+rQv+psGavQA3lF2Sq0oZjTojjpWH+UbZO6dM5fnRVBFNmiOF0dX2sJKb/Wpiqx2NKGzupg43F1nUWKesxWIJ+VIvYZ6rr005RY/mOdLULbHsuvbOsblTo8eqsBQ/tsYHJ+23GcrU0d/HbVAfGfAvgcEX0oXX8egJuJaA7AVyPH3IQkTdG7Cur9NDNfOeKxjuM4QSbtWGvAKD4bcL/tOM6EmLTfrjQgZuZfJ6KPAbgcAAF4FTPflu5+SeSYTxHRRaMYNeqx8guDmbOOtfGJjUYD09PTWfxwp9MJ5pWNqaERe1cpXXrZzkxXllkiFp9py1gbYlkAYlkD9P+Q/SGVdRhiMaixDAWixEoGBa3e2swhMZuq2C7qrI3T1bZotdjGEOt+i7Vpz7dof+gc7J/NlS3Xko2Ht+WqxFJXsS1kk7Sh27I2CNKHMmudfMYSA20/23FyEddBaZg0o/js9LjT7rcdx3Hq4LeHCdj4IoCH5Bgi2svM94/Z/tOJ6K603tcz893DVkBEVwO4GgDOPffcMc1xHGejUwfHWhPWw2cDY/pt7bP37t27BuY4jrPRqYPfrpp27bUArgXwMIA+EsWBAfzAGG3fgSSm7SQRPQfABwFcPGwlzHwjgBsB4AlPeAJrRUzPLiaxws1mE1NTU5lirBViVeeqfK1APvesVRhDs29ZBVIr0brN0Kxi1p6iuN/Qckj51OqrqLNSJqbCxtq1+2L7y5Rr3a7NmFAWTxxqs6oKG1Lebc5duxyKr7af6TA2xOy28biitsq65M6W61euZdlu43rL+if2BKSorFXF7XWtFWIiyl1/3W53VcYMrcLb638UJu1YJ806+WxgDfy29tn79u3z6a8dxwEweb9dVSF+HYDHM/PhtWqYmY+r5Y8S0duIaDczH1qrNhzH2XrUQWmoAWvuswH3247jrA/D+m0iuhfACSQ/+FeYeZ/ZTwB+F8BzACwAeCUz31FUZ9UB8XeQJHVfM4joXAAPMzMT0dMANACM5bxFcdTrVn21KpYoWTquV46NqYQ2xlcrnVbdDM3cJceV9M+qc6tSRtsjbYryKhkTtCKsbbYziwnSLyHV3GIzC2jbQ3HZIeXYlg2ppyFlPBQDHothDtUnmRMA5GJ19bKORZd42SJFtqyvQn0qfWjVZxs3rO3RMcTWsdhrV5ZD17ftU/t56mtZjrU5hqVu/V3U15tWwHXf6mt2HIVY+miLs+Y+G1gfv+04zvhYH26f5sWe/I7CqE9my+ocwW//eMGP8WcjeXp1MYAfAvD29H+Uqq1/C8CtRPRXALKUPcz8O7EDiOhmAFcA2E1EDyB5fNdOj7sBwAsBvJqIVgAsAngxp59S6FhmfkdFWx3H2eIMqxCvh9owYYb22YD7bcdxJscaP9l7AYB3pf7pc0S0g4jOY+b9sQOqDojvT/866V8pzHxVyf63IknRM/SxRSwvL+fiEEVJ6/f7mSK1vLycKWtTU1PZdp2HOKYQA2GVWCtgkqHAKrI2z65WYq16qhW8qmh7Q7l+tQoci+3V9YSU1zJCKm2oTOwvpLjq3LZ6xsGQihmKCdZ9EiKUwUG3qXNVS5xuaGbDtfjVHFLO7bnYfpT98vnKuo1tLsqbbOsLKcGhc9PlQ/uFUI5vex1KHRPMQ7ymasOEGdpnA5Pz246z0YkptGX7hi0L5DMlCfJETnxnr5ekIRf/v7R0Kv24LNtsPjG/a+9vVsntdDqVniAXEfDbu4noNrV+IyfvHwgM4BYiYgB/aPYBwGORPCkTHki3jTcgZuY3VSnnOI5TB9YhhnhotWGSuM92HGejYfz2IfukznA5Mz9ERHsAfIKI/oGZP6X2h0b3hSpj4YCYiN7CzNcQ0V+GKmLm5xcdf7phlalAxyISERYXF3NKoMRbilJs4zRtvUA8htaqvsvLy5karDMnyJv0UldR3GxoPUTRL7qiuGOrwlp1VspUjYstKxNq1+ZntjGw8t/mtrWfk878IVhF2GaQCCmaob6wdtrMD6GnBaFztn1UFONs7RSVP2R7TMUPzQBnl2M2xD5Le/3rcqFjbMyx/p6E1OFxFQZty5BKA7AOasMk2Gg+23E2EvYJpF4XRTa0XrRPxgmCXpay4s/kuE6nk1tvtVrZ+KLdbgMAut1udu+UdZmlt9vtAkBWVpiamsqWpQ0pp9XkqampnM+X+R/GYdgne8z8UPr/IBF9AMDTAOgB8QMALlDr5yNJFRmlTCH+k/T/9ZWtdBzHmSABx1qmNADroDZMCPfZjuNsOIYZEFMy42aDmU+kyz8B4DpT7MMAXkNE70US3nas7Ile4YCYmW9P/3+ykpUTRpQ0HTMbUtT0W/xaDS3LFBBSc0OxPzZW2O63hNS7ovKhY/XxWmHV56lVWKt2SjysVkOtTcPGNcdiakP5mK3iGorn1ecRU2eLYoi10h9aLoqn1vXoY6yqbpXOkDJu64kpvrG+t+XLYnJlX+i61mWtchxTvq2doTp13Tq+2c5EaGPpbR2jMmzIxHqoDZNgo/lsx6mC9QfWXxStD1PWtiXzB+h18Xky1pB1HaMr67Kv2+3m6pEn1lLn0tJSLtZX+6/FxcVMrRVld3p6Otfm1NRU5ltF5e31euh0Olld2j6JN7YKcSxOWOZrELSSLPWM896HMITfPgfAB9I2WwD+lJn/moheBWQvAH8UyUvQ30TyIvTPl1VaFjLxZRSoIMw8bpJ3x3GcNUV++A1Rfl3UhkngPttxnI3IMH6bmb8F4EmB7TeoZQbwi8PYUNb6lcNUVge0KqXjFWNv6ev/WrkMqXah2FPZb2cpExXTZkiwscr2MYF963MYbJ2htnTGhJhabHM3hxhHwYup8DG126ql0r5WaUN16JnSQvbH/oBwzl1dl1VObf7rWFmrnuptct3p6y/29CC2reh6t8doVTikROvvQuiziaH3iR3ytEa22VjitYoflvaHVIjXRW2YEBvOZzsbl2HuA+PcM1ZWVnLrRTG5dr1KWe2ztC8XlVVYWlrKVFXmZLZXuf9IJiuN1GvrseuNRiNTXWUGUmFqagozMzMATsUXy37pF7FpMBhk+5g5V48uJ5+F3a/X9bIdqIb86zhjF2Cs7EBrRlnIxH2nyxDHcZy1YsiXM9ZFbZgE7rMdx9mo1HpALBDRDwP4fQCXIMlp2QQwz8zbC455JxK14iAzXxrY/wIAvw5gAGAFwDXM/Jkqxxa0Gcyrx8yrVESrOlol1dYhhOI35ZeNVVjtdonTtZkTxlFkY2p2KA7YKsZaQbVxvfYci2zQ7YbiWW25kNIbUktDyr3tD7s9pHRaYnG70pb8D8UZx+oL2aXVXmtP0dOGkGobUo1j9ltFt0gJrvKZhuyN2WA//9jnpsuEYqPHoQ5Kw6QZxWenx512v+3UC/s9tOqsXrcZEey6Lmvr0UossNpn25kubWyvfqpk9+tjbbvWRjs+0EjWKLtNsE93dUyuxPnKMXZdZ2oYDAaZCszMuXoGg0HWjn0qKrbod1j0udgc/fY8i/IQx568htbXgjr47aoa91sBXAXgGwBmAPw/SJxtETcBeFbB/r8B8CRmvgzAvwTwR0Mc6ziOE0VPtrNFGcVnA+63HceZEJP225XfPGHmbxJRk5n7AP4HEf3vkvKfIqKLCvafVKtzUC+ClB1bRLvdzn5RhXKxatVWYmpDmQv0ccbuYFynztKglVerENs8yCFVO0RMTdT7iuIwi9Q9W07qCanlMdU3VN5mUdBqvVZ/QwpxLPtHSE2sGt8aU1iL+lbbUtSuPcdQO0VtWNvLlNzYE4UyFV33q41nLrJDrouivgp9Rvq42FMDa++41EFpqAPD+uz0mIn47a2OVUv1rGPMHN0vWLU0tk/8rWxrNps5BVVmcpWyRJTLTtBoNHLr9li9z65r/yHt6u98s9kMvosh7Vpl1u7X6zrm1ca/zs7OrvLvRf4+tg9YnaVBr+sYXKv6ho7V5bei/6qD3646IF4gog6AO4nozUiS0c+N2zgR/TSA3wSwB8BzR6zjagBXA8A555wzrkmO42xw6uBYa8C6+GxgfL+tffbevXvXwiTHcTY4dfDbVQfEL0MSXvEaAP8KST7Onx23cWb+AJK3u38USVzaM0eo40YANwLAJZdcwp1OZ9Vb6zrbQ7PZzDIttFqtLL+ezoOricU/6n2huFu9rNU5rUbreFVbnznH4LnHVNPQ/6oxsLZu/etZcjDGFEUiys0IF+qPkD0hhTnUF0XK4jgxTcMouWVqftWYXKskF6naRZ9f7NhQ3HLIzpCyrY+P2R+Km47ZFvqz9dlzHVctHibt2iZlXXw2ML7f1j573759a/NYYEyqXG/D+tCi/fZpnmQ+kO+EncmsalaFkKK7vLyctS/3Rz3j2eLiYlZ+enoaCwsL2T4iyu3vdDpZLlxLp9PJtT09PY2lpaWcKizn3el0srzksfPW32F9vwRW58G16zpeVy8DyGJ1Q+1oW6qwXmW3KpP221VbPwSgx8xdAG8ioiaAqZJjKpM+avseItrNzIfWql7HcbYedVAaasC6+mzA/bbjOGtHHfx21QHx3yBRASR+bAbALQB+ZNSGiehxAP6RmZmInoLkTejDo9aX1pmLwxGFU+J3RSmemprK1qempnIKssb+qreqWUzJtTGTZTbH/g+j7IbaCylxVuWrGtdpy4XqDMX3hs616DyK+teeU1E8b0iNDX1eIRW1LEa6SB0tuoaK4nRDfaj7O6TeFqnMRX2t2wrVG+qXkC1ln7N+cqLblbhDeZJTNLPkKNTBsdaANffZwPr47dNBSKHVKm1RJgUpX5S5QNb107R+v58pXqJ8yrqosLIuyqpdlzjT2Lqtv9Pp5FRWiZeVp3v2nmAzI7RaLczOzmZ1EVGmvso9U6u6WtGT2dL0uo4btoqv/a7bOGH7ZM7GG9t1jfbDdl8sV7AzWergt6sOiKf1yxTMfJKIZosOIKKbAVwBYDcRPQDgWgDt9PgbkDy+ezkRLQNYBPAiTq/w0LHM/I5hTsxxnK3LpB1rDRjaZwPutx3HmRyT9ttVB8TzRPQUZr4DAIhoHxJnGIWZryrZ/9sAfnuUY2OIQqx//YpKJb9u5RexzjQBYNUvU53HN7UpqqiF1LkyxVZnTtDH21jksvhRvWxjfENKaSwO1NYXKm/PIWSPVRlD+4vaD/VpSNGMqfOxbUUKeJlSXnYeFvlsq6i8Up+uU47R16Q9b/00Qo4PxbGX2Vqkwlub7fnb69N+5nIOopatrKxgZWUFy8vLWFlZQb/fR6/XW6UQx9qtSh2UhhowtM8GJuO3bQ7ZtK5VZTQ2BteW1zOIAUnuWb1uFeKlpaXcflFZ9RMOrQrLfrnORLHVs4SFFGLZL3G4si7nJ/VJuzamUspLViM7Y1mn08n11fT0dO5cpT4p02q1cuVbrdYqRTek8AKrv2dls5kV5bVda1z13XjUwW9XHRBfA+AviOghJGl2HgPgRetllOM4zqjUwbHWgGvgPttxnA1CHfx24YCYiH4QwHeY+QtE9H0AfgHAzwD4awDfPg32DQUR5eKh7OxrRX9FaqSs6/+yXBS3GVPtbDu6LhvrZdFKoY0l1bOUhdTF0HJIcQ3FkFq7tY2h/MchJbmoXr0/VE+orC1n42NjZa0SG1JydV3ymRTZE7LPqry67SoKt+6rULv2mtT5o4uIlQv1XRFyjiFl16rDvV4vU4i73W623Ov1snJVFP2qTNqxToqN5rOZOZcFQSibAS00e5j+rnW73dy9YH5+flXeV6sQ6/29Xg/MnFM9tY2iCEsGAymvrztrk0bicnV2BMl8pNHvxNjyNv4XGC9jguNMmkn77bIZIf4QgEToPx3ArwD4AwCPIk2b4ziOUyfkZR/522K4z3YcZ8NRB79d1mqTmY+kyy8CcCMzvw/A+4joznW1bETsPN5WIZZf4ZJZQs9UF8oOURZ/GSoXioEtUn01sXZD67EY45gSWzSTXdn5hMra40Ix01p1tLGnsXZC9dg2y/brMkXqaugcQmWs3UXKdSgmUo4JHWcVW9tvukxMzQ6db5mqHGrPlomh7QjNRCcxl4PBACsrK1haWspU4cXFxVxMsT43G089CnV49DZBNpzPJqJVWRusAlyWh5c5n6vXfgftOyFAXm2dmprKqbGDwSB790TQy7JfrjMboys22e+xtcE+QbTfWVu+KC5X6nC2JuM+VZs0w/htIroAwLsAnAtggMTP/a4pcwWAD+HUk7H3M/N1RfWWKcRNIpJv+DMA/K3at+WkF8dxNgbyg7eKgyWiC4jo74joHiK6m4heFyhzBREdI6I7079fXRfDx8d9tuM4G5Ih/PYKgH/DzJcA+GEAv0hETwiU+zQzX5b+FQ6GgXIHeTOATxLRISRvKH8ayHJRHiurfJJY9cvGC4diiPUvLKumxtS2mEobOy6kgJWpwTGsIhiK4wz9j9kZUjRCqqmOdS6rN3SeobjdkC1SNjSTX0ihDtVTdK4AVqmTIZuLlPUiZTX0hMCq4FWVZF1e1C8dextT1UP9UKZyW2KfW6hdXVbihvv9PhYXFzNFWKvFNnZYzr3saUYRIyjE4lzvIKJtAG4nok8w81dNuU8z85UjG3Z62HA+W89gJtjY2DLlFFitztoyZfG5oSwJug5rk373xHGGYa3UXO3Ly+ocpuywrMX3YBi/zcz7kUxHD2Y+QUT3AHgsAOuzh6JwQMzMv0FEfwPgPAC38KlebAB47TgNO47jrBfDDIjXy7lOAvfZjuNsVIzf3k1Et6n1GzmZ9j0HEV0E4MkA/j5Q5dOJ6C4ADwF4PTPfXdR+WcgEmPlzzPwBZp5X277OaX7LGET0TiI6SERfiez/PiL6LBEtEdHrA/ubRPRFIvpImY2O4ziCKA3q0dtuIrpN/V1dcOxFKHGuRPQxInri+lg/PqP6bMD9tuM4kyHgtw8x8z71FxoMnwHgfQCuYebjZvcdAC5k5icB+H0AHyyzYT1jym4C8FYkgc8hjgD4JQA/Fdn/OgD3ANg+TKP28at9FC6PmiUZuaQqK3o5wb6kFApBCD2GiD3GtuV02EWVx9ujhFjEypSFeoRsLTp2mMcxsXO1faZfOiv6XIrqjrWjl/Xjex2KINeKLR9rJ/SZx8Igqq5re2LLsRAMTaxfisItdFvSnv4fQybgsKnWlpaW0O/3sz/dlxLONM4jvcCjt0PMvK/CcVWc60kieg4S53rxyEbWl5twGv02qTfLNZLOLMZaPPKt8pjXQyKcGMNcgzHfPkyoQ9G+KmFmOsyxSorOYa79cX22tDfMkz0iaiPx1+9h5vfb/dqHM/NHiehtRLSbmQ/F6ixViEeFmT+FxHnG9h9k5i8AWLb7iOh8AM8F8EfrZZ/jOJuXYV6qA6o5V06nQmbmjwJoE9HutbS5DrjfdhxnUlT125SM1t8B4B5m/p1ImXPTciCipyEZ7x4uqreubx2/BcAbAGwrK5g+/rwaAM477zz0+/2cGtdoNDJlS6tdWvVSdeX+h7ZbNdf+L6JIba2yXKXukLqnl7UNIaW0yL4iBbJMOY6V1e2HFFh9TOjzGVYdtnXrl+pCCmhMOdb1yGcfsq+ob0PldfuintrrNbQc64PQ5121v+z1of+0bXrqV22/vFCnX6RbXl7OTdcs5UUdkFRX475UN0wey6rOFcDDzMxVnesW5C2o4Le1z967d2+sTGFDrtw6RazFEwSpJ3ZvC91PY2WLJmiytobKWn8ux0nZRqOR+eGYCixjI1nW+0IUpQi0NJvNNVGIh/DblwN4GYAv06l0kr8CYC8AMPMNAF4I4NVEtILkBeMXc4mRtRsQE9GVAA4y8+2U5JErhJO4khsB4NJLL93YifgcxxmbYR+9YZ2c61ZiGL+tffa+ffu8Dx3HGTbLxGcAFP4qZua3Ign/qkztBsRIbk7PT+P0pgFsJ6J3M/NLyw60iq/8apH4lpBKrI+1cZ5WdbX7pV5pI3SM3hZTcUNKbFm8aUjF1mVsPSGVL6QA2rZGUWBD9pZt059dmVIs/6uqRDHVXKusWpHVMeYhBdaqs/pz1ZPBaNXZnosuq9P+raysZKqrVlG1nXrdqsi2j4r6O3TtWTtDioj0j7St7ZRUajJds1aI5RiZqlfb0Gw20el0sklzxh1rDpllYl2c6xZjZL/tOCGqPN2qcuw4Ze29WMfhiv8LKbChshqt0GpfGCtrVV8Ze8iENq1WK/Or4vtkn4xNer1etk8msSlSgbUPlfuUXtfn2m63x3qqF2pzEqxbDPGoMPMvM/P5zHwRgBcD+Ft3qo7jVEUG2MPEEDvj4X7bcZxxqIPfXjeFmIhuBnAFkpRHDwC4FkAbSB5BpjF5tyF5G3lARNcAeAKvfrt7KORXkVZIJTZRfgnqX2DNZnOo+FStwmm1UcdC6rJlyqtuWx8fii0qUgBDSqpVgO1EDjYeNrQcs9f+Eo7ZEFKobUxu6Nhh+i92fMh+3TdaYdXqplWAtT2hZb1epuyH7A9dMzoG1y4vLy9nKuzy8nJOTY4p63pbFSVZ22LtYuZsal3db4PBAL1eL+tXmZhDT8JhVYROp4NGo4F2u43Z2Vm02210Op2x1QYfCI/GpPy2s3EY9enNOCpv2bF2f5H/GKasTNEtaLVWfJqsLy8vR8uKIqvL6nuXbsdOS76ysrJKPZanaEtLSwAShXZpaQnMnMXhyj5Zn5+fR7vdBhFhfn4+t0/QflNPbW7DGexxs7Ozq5TtUZi03163ATEzX1Wy/wCA80vK3Arg1rWzynGczc4IMcROivttx3EmQR38dh1jiEdGlClBpmXWSjEzr4r9lf9FU3GGfqHG1ECtbFplNMQw8bDDYFW9WOYCS2w6YB0fq+NeY/G0Wn3XcabahrJ8tlX63Za3qnFM6dequdgl9kgsb0hVL7LZTjMdUrWLziNml+T0tcprLDbXKu+jKq72+rWxyzb2WqvXWtXWT1AofZu42Wxienoa7XYbrVYru05svw1LHRyr46wn43w/xm2rypMyoDzHbtk5aJ9Vpj5a/6bXyxRhW7cu3+/3MzVU7gvi48X3yvri4mLO72hld35+PnefX1hYyMqK/5b1hYWFnNK8sLCwSvWdnp5Gv9/PlN7Z2VkcO3YMzJzl8D527BgajUY2RfkjjzyCmZkZEBEeeeSRrB6NXp+dnc2WW61WbupyvQ8Adu3alT01HJU6+O1NNSB2HMcBVj/ScxzHcerNpP32prtr6Jmv9Fv8ogJLh0uuU1GlyhRiYZgYTavUhbIoVGEY1VrvC8XJxmJNQ/G+2l7ZJ79crUIcUiBDCrHYE8uSoNu1cbxWrY71T1kcuO0nrcLa2FwdF2vjZa1SrPvGfg5FdurtVqWWdnSssGRv0Dl9tf2hzyR23ZZdW/b6tcq+XbeZJ2x7olg0m81McZByvV4PjUYjew9gVOqgNDjOMAyrpA5z/yhSbYnyM5yFVF27X6/H8uuG9hepySG0H7A+wR5r99vc6Las9nu9Xm+VD9ZlRWEFgG63m40hut1uLnPDsWPHcmW10nv06NHc+OLo0aNZPK/M5Cn+8OjRozn/9eijj2bxvCdPngQAbN++HYPBAIcPJ6nQd+7ciSNHjmB5eRnbtiVpwA8cOIBOp5Mde++99+Kss84CEeG+++7L6tHo9bPOOitbnpqawszMTLa+e3d+TiK5N45DHfz2phsQO46ztamDY3Ucx3GqUwe/vakGxKKqCXrWOnmLUxSslZWVLKZYslDEMhZY9VT+a/UvpGbaMiGVzpaPUZRRIrSu6w2pjrZMKNOBbdcqmjpbwzD9plVhUTVFBbVKtrY9FgdrcykW2Wz7Sa4XqxDr2dS0WqyXQypoKL461jc23hhAFrscUoi1Sq3Va50DOHTdFWXyCPVZLEaw6LPW+0PtydOCMjvWikk7VsfRlPnsYbIilJUvUm1D71cUKcBAXjEVRTPWli1bpNSWxQVLvCyAzDfH6tJl7bptx5ZdXFzM3UP0+XW73Sxelplx4sSJTAXudrs4ceJEpsA+/PDDORX10UcfzfzQgQMHclkbDhw4gNnZ2aw/Dx8+nB17+PDhXNn9+/dj586dWRsAcO6554KZsX//fgDJLL3Hjx/HwsIC9uzZAwB48MEHsWvXrkx5fvDBB3HeeecBAB566CEAwDnnnJPrC30fOOOMM7JliT0WtBIOrJ2/nbTf3lQDYsdxnDooDY7jOE516uC3N9WAWFQ1+4tYK8SiEkvyZ1GKtWIndenj9Z+O0dTqpY7ZFYriYLWN9jyK9sfK6e26Xas0hrIqaPvKYoz1ulUjY3ZrtVL3W8w2UUFtjt2ybAlFanGon7TaG8r1q7dJGZstQ+qycdayvahvrNoeyuJgY4K1EmttsP0de9PbPhWIlY1dY/qJis08EjtP6Zepqaks97DOMiEz1dnPcBQm7VidejHsU4m1Li/fXZtP1q6Hymu/J+V1vn1bPlaXLi/2NhqNXHaAZrOZrcv3WufFbTQauXWtphJRTn1ttVrRsnLORfHNi4uL2XK3283tsyrviRMncusLCwvRsidPnsz5qWPHjq16SqfL6rhareT2ej2cPHkyU0sPHDiQxe8CwKFDh7J44wcffDC378EHH8zieQeDAe6///5MBT5y5Eiu7AMPPIALL7wQALLY3263CyBRj4kIy8vLWFpawvz8fC5bxc6dO7PrYWZmJlO7zz77bADAYx/72FzfXHTRRdmyqMkAsGfPnpxPPffcc3PH7dixI5eFYlQm7bc31YDYcRynDkqD4ziOU506+O2JDIiJ6J0ArgRwkJkvDewnAL8L4DkAFgC8kpnvKKuXmbPZWqyyqVXgZrOZKVHtdjuXjSKEjn+UX3Q2FtaqxSGlz76ZH1PuIn1WqUxIiRVV085sFsq1G7LT2hDKSGHtCqneNj7YxjTrONnQchWFONS27Rttj82hq2ObQ5+tVdW1PTpPs/2sQqp/KL5Z96dVemwWC5sZRSvUofjkYfss9KRFl5Xvhf1uFcVtS3mxUTJOtFotTE9Po9VqYWpqqrLdsXOZdPqezcZ6+eyqjKvYjrtut1UtH1OERYW1s5OFFGDxk6HjQ/VrVVZiVMW+VquVe4rZbrdzSmyn08nUVfkuS2YD2X/8+KlJCUWplPJaqS0qK2qy9p/NZjPn87TKu7i4mCt74sSJXJ/Pz8/n1rXNkqtX79P+5cSJEzl/YevVsbSLi4tZrl5mzuX5PXbsWE5t1/eHTqeTKcBAcn8WBZaZMTMzk8XzLi4u5hTiiy++GBdccAEAZDHDUlbU7R07dmAwGKDb7Wbq7/z8PHbv3p1dY91uN7NBVHMpK+iY4h07dmTLO3fuzI2P9LkAifo8rkJcB789/rPJ0bgJwLMK9j8bwMXp39UA3n4abHIcZxMgg275c9aEm+A+23GcdWJYv01EzyKirxHRN4nojYH9RES/l+7/EhE9pazOiQzHmflTRHRRQZEXAHgXJz/VPkdEO4joPGbeX1Jv9qvT5mHVKrCow5ILVfbJbFmaWHyvVQTkF3xRVgKdJ9bm3y2q29pRpJaEVE0dmyuznFl1Vv/XikIoRnYYewQbY60VYm1zWZmitspUxZBCrK8THTsde6O5ioJfplCH4odtbB+QfzIh16y+fvU1K/usaluFqjG7WnWW9kXd1d8tq5IDq2PpdZ3yNzU1hVarFfweDosPhNeW9fLZQLVZFMt8TJlia9soW7eKrr12q5SX91aAUwqwXJeilsp+UUO1miflB4NBpujJflE9dU5cKa8V0WazmYu/7XQ62X0ASGYc0yru7Owsjhw5AgDZvVFy3RIRZmZmslnOgHzs7vT0NA4ePJitz83N5crqdhqNBhYWFnJ92m63c+q2jv1l5ty++fn5VdkutLqsj7Xxx4PBYNX9SyuTOsNDt9vN1TU7O5uzY9euXdln0mw2c4qrVlj37t2L888/NeN5t9vNxeHOz89nivFgMMCZZ56ZKyt16ZnpgFM5lEWlXl5ezvbpZSC5RqWc9J3OigHkM0vofrDl7Ex17XZ7TXxu1TqIqAngDwD8cwAPAPgCEX2Ymb+qiukf6T+E5Ef6DxXVOymFuIzHAviOWn8g3bYKIrqaiG4jotuOHTt2WoxzHKe+uEI8EUby2XrA5DjO1mVIv/00AN9k5m8xcw/Ae5H8KNdkP9KZ+XMAdhDRebYiTV0D7ULyUFAiYOYbAdwIAER04nnPe97X1tOwEdgN4NCkjQhQR7vcpurU0a61tOnCUQ+8/fbbP95sNvVUSnXrp83IyD672WzWzWcDm//7tVbU0SagnnZtdptG9tlA0G9PE9Ftav3G1HcA4R/gVv2N/UiPPrWq64D4AQAXqPXzATxU4bivMfO+9TFpNIjotrrZBNTTLrepOnW0qy42MXNRrKuzPmwanw3U51rWuE3VqaNdblMxQ/rtKj/AK/9IF+oaMvFhAC9Pg6J/GMCxKrFojuM4zkRwn+04zumiyg/woX+kTyrt2s0ArgCwm4geAHAtgDYAMPMNAD6KJH3PN5Gk8Pn5SdjpOI7juM92HKdWfAHAxUT0XQAeBPBiAD9nynwYwGuI6L1IwilKf6RPKsvEVSX7GcAvjlD1jeVFTjt1tAmop11uU3XqaFcdbXLWgC3ms4F62uU2VaeOdrlNawQzrxDRawB8HEATwDuZ+W4ielW6f6Qf6TRswnPHcRzHcRzH2UzUNYbYcRzHcRzHcU4LPiB2HMdxHMdxtjSbYkBcNoXfpCCie4noy0R0p8mndzpteCcRHSSir6htZxHRJ4joG+n/nUV1nEa7fo2IHkz7604ies5ptukCIvo7IrqHiO4motel2yfWXwU2TayviGiaiD5PRHelNr0p3T7x68rZONTRb9fBZ6d21M5vu88e26ZJ95X77RI2fAwxJVP4fR1qCj8AV5kp/CYCEd0LYB8zTywZNxH9KICTSGZsuTTd9mYAR5j5t9Ib0U5m/nc1sOvXAJxk5utPpy3KpvMAnMfMdxDRNgC3A/gpAK/EhPqrwKZ/gQn1FRERgDlmPklEbQCfAfA6AD+DCV9Xzsagrn67Dj47taN2ftt99tg2Tcxnp3a53y5hMyjEVabw27Iw86cAHDGbXwDgj9PlP0byZT2tROyaKMy8n5nvSJdPALgHycw2E+uvApsmRjoV5sl0tZ3+MWpwXTkbBvfbBdTRb7vPHtumieJ+u5zNMCCOTc9XBxjALUR0OxFdPWljFOdIPr70/54J26N5DRF9KX08N7FHN0R0EYAnA/h71KS/jE3ABPuKiJpEdCeAgwA+wcy16SdnQ1BXv11Xnw3U9/vlPruaTcCE+8r9djGbYUA89PR8p5HLmfkpAJ4N4BfTR05OnLcD+B4AlyGZb/y/TsIIIjoDwPsAXMPMxydhgyVg00T7ipn7zHwZktl/nkZEl57O9p0NT139tvvs4XCfHaFuPhtwv13GZhgQDz093+mCmR9K/x8E8AEkjwnrwMNpnJPEOx2csD0AAGZ+OP3CDgD8d0ygv9LYqvcBeA8zvz/dPNH+CtlUh75K7TgK4FYAz0JNryunltTSb9fYZwM1/H7VwQ+5zx4e99thNsOAOJvCj4g6SKbw+/CEbQIRzaUB9SCiOQA/AeArxUedNj4M4BXp8isAfGiCtmTIlzLlp3Ga+yt96eAdAO5h5t9RuybWXzGbJtlXRHQ2Ee1Il2cAPBPAP6Cm15VTS2rnt2vus4Eafr/cZ1e3qQZ95X67hA2fZQIA0vQlb8GpKfx+Y7IWAUT03UgUBiCZIvtPJ2EXEd0M4AoAuwE8DOBaAB8E8OcA9gK4H8D/xcyn9WWJiF1XIHmcxADuBfALZXOPr7FN/wTApwF8GcAg3fwrSOK/JtJfBTZdhQn1FRH9AJKXL5pIflT/OTNfR0S7MOHrytk41M1v18Vnp7bUzm+7zx7bpon57NQu99slbIoBseM4juM4juOMymYImXAcx3Ecx3GckfEBseM4juM4jrOl8QGx4ziO4ziOs6XxAbHjOI7jOI6zpfEBseM4juM4jrOl8QGxE4SIdhHRnenfASJ6MF0+SURvW6c2ryGil69H3aNARPcS0e6C/e8lootPp02O4zgh3Ge7z3bGw9OuOaUQ0a8BOMnM169jGy0AdwB4CjOvrFc7w0BE9wLYx8yHIvt/DMBLmfn/Pa2GOY7jFOA+2322MzyuEDtDQURXENFH0uVfI6I/JqJb0l/mP0NEbyaiLxPRX6fTV4KInkpEnySi24no42bGHuGfAbhDHCsR/RIRfZWIvkRE7023zRHRO4noC0T0RSJ6Qbq9SUTXp+1+iYhem25/Rlruy+lxU+n2e4noTUR0R7rv+9Ltu9Jz+SIR/SEAUu3+FRHdRURfIaIXpTZ/GsAz0xuD4zhO7XCf7T7bqYYPiJ1x+R4AzwXwAgDvBvB3zPz9ABYBPDd1sL8P4IXM/FQA7wQQmv3pcgC3q/U3AngyM/8AgFel2/49gL9l5h8E8OMA/gslU6xeDeC7VPn3ENE0gJsAvCi1pwXg1ar+Q8z8FABvB/D6dNu1AD7DzE9GMp3l3nT7swA8xMxPYuZLAfw1AKRz0n8TwJOG6TDHcZwJ4j7bfbYTwAfEzrh8jJmXkUxT2UTqeNL1iwA8HsClAD5BRHcC+A8Azg/Ucx6AR9T6l5A4yZcCkMdxPwHgjWk9twKYRuIAnwngBlEq0mknHw/g28z89fTYPwbwo6r+96f/b0/tRLr/3WkdfwXgUXUuzySi3yaif8rMx1Q9BwE8JtgzjuM49cN9tvtsJ4A/NnDGZQlIfnkT0TKfCkofILm+CMDdzPz0knoWkThL4blInN3zAfxHInpiWtfPMvPX9IFEREjmh89trmI3gD7y34NVQfXM/HUieiqA5wD4TSK6hZmvS3dPp7Y7juNsBNxnu892ArhC7Kw3XwNwNhE9HQCIqJ06Sss9AB6XlmkAuICZ/w7AGwDsAHAGgI8DeG3qTEFET06PvQXAqyQujIjOAvAPAC4ioselZV4G4JMltn4KwEvSOp4NYGe6/BgAC8z8bgDXA3iKOuZ7Adxd3g2O4zgbAvfZzpbEB8TOusLMPQAvBPDbRHQXgDsB/Eig6Mdw6vFYE8C7iejLAL4I4L8x81EAvw6gDeBLRPSVdB0A/gjA/en2uwD8HDN3Afw8gL9I6xkAuKHE3DcB+FEiugPJo7770+3fD+Dz6WO/fw/gPwEAEZ0DYJGZ91frDcdxnHrjPtvZqnjaNac2ENEHALyBmb8xaVuqQET/CsBxZn7HpG1xHMc53bjPdjYTrhA7deKNSF7U2CgcRfLih+M4zlbEfbazaXCF2HEcx3Ecx9nSuELsOI7jOI7jbGl8QOw4juM4juNsaXxA7DiO4ziO42xpfEDsOI7jOI7jbGl8QOw4juM4juNsaf4PCP9zqPJxxlIAAAAASUVORK5CYII=\n", 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P2I1GI7NVH3+bJkS73c7Vgz42QHIeX3bZZcFtR6HOfntXPSwPBgMcOXIkOxFXV1dzDw/NZjN7QA7d0GMnilXKtCo2HA4xHA4zZyuOTR4A9MOpPFDrbYFy1cPaEUpr7el2u1mZcqOQ6cFggI2NjcyRynSdHlLlJUaOX6PRQKPRQLPZzL3Y6Dd0q95UUa3tA2Cj0cDc3Fx2XszNzaHdbmfrWq1Wdq7IQ2IRVVXdkK1y0xNnqm2QepEH5Ha7jT179mR1JOlHaUGxqoOu15BqInVmbZNprXTLuTgYDLC6upq9GJ04cQL9fh+9Xg/Ly8vo9/vo9/sjqT2h+tTb2weaMTiMpJ9X4Rwko3O1I8udinS7XXzuc5/Dnj17csvtw3OVh2V9zLvdbi6NfYhcX1/PPeitra1lD7RAci+R8xZIHhzttWxFBeDkQ7E8lMg2UpakO3r0aC79fffdl90ngPjD8traWmY/gOxBVupH5qeFfmiSF3RB/JHs8759+7J62bs3GW1bXg7Ez8p+SXrh9NNPz5V75plnbno4jj0sHzhwoDStni869+zDZafTybZtNBq5tPPz89k6ETcEuc/oeSm30WhsehgtejYRtT/UkqiZm5vb5OPt/uh5XSfNZnPTvGY4HE7ks8WmOvttj1l2HGfXIQ/rkzrwlBsAPDf9uvpbABxj5nuQDBd8PhE9gpK+YJ+VpnUcx3FGpM5+e1cpy/1+H3fffXdW2Z1OJ5sWtVmWW9XShmKEVFwhFLOl1eOVlZVMLRPlTOa1Eq0VRKtQVEWrGxLOIHna+LUqyBs+cPLtt+yNNYZV5G2crVYfRQ2VaVEl2u121iog86KeWsXUKj16/0XR13GxFhv/K8t0WaKcAtjUKiEKsY1HDOUfitMVu+20VrqlDuQ4SXiRqMtaHbf5FcUx2/MvlC50/PUxkGtK9lXnL+fjYDBAu93Orol2u52pzJ1OB71eD71eb0uV5QrprwNwMYCDRHQYwEsBtFLbr0IyPPBlAO4AsArgJ9N1AyJ6PoB3AGgAuIbzo445JayuruKWW27B0tJSbnmomVcTUpa1Iri6upo79++9996csryysoIHH3wwm3/ggQcyNRc4qXhKuRK+IOjwOymfiHLKslbbJD+5d0j4hFaSdRnjtvIRUU7tXFxcxMLCArrdbnZ9asUcyNc1EWUqf7vdBjNjfn4+m5drFkj8klZ/l5aWcsdAfJPU4ZlnnplN79u3D3Nzc1l9iY/Tar9ubVhcXNwUOqHn7XodxrCwsBBdJ+XEwjBsjLZVYrXiapVlnY/cR3S+Nt5Zh8LperQhRpqi1r+i+/Wo9/QiBbrMxqrU3W/vqodlx3EcYLSPdpj5ipL1DOBnI+tuROKUHcdxnAmos9/eVQ/Lg8EA99xzT/a2pBVBrbjJAdFv2mUxnTqQHsh/tSwfZtgP/CTWbNYfrYniKOqjqJQSuy0qpVbkdWywjm/S8bVCLLZIvynrfHQ8rdS/jn2Vj9hkmbQQiPqgldwiYrHdRfHhVg2XssQurbbrmGCpH5vHKFhVWmyVepCydYywrZtQvRYp2WK33l8dj6nT6vMhpETrutJ5SUuKtLy0Wq1cbLLE18/NzWUtMJMqyzamzqknx48fx4033pjFsAr2Y6lYa43AzLltbOzuvffem8uj3+/jyJEjOTumHe9bhKi58i8qqyjw7XY7a4GTeQA47bTTMD8/n/nkM844A+12G4PBYFPLli0LSOpR8pRrSPJutVoYDAa51iOtYouSLIjPCsUsLywsoNFo5GKWrYqr87Lngy43tF4rs6KQx9KW9ayhsXVne7iwLXk6z6KeM+zzh/V/o95LYraPkia2L1tlT6jsOvvt+lrmOI4zBqM25zmO4zizpe5+e1c9LA+Hw6xLnjpiY2/lbbOqum3jqENveyHVU7odazabmJ+fR6vVQqvV2tQdme4txKqEQPhL2VC8q7bH7leshwb95h3qgUIH/lvFO4a1LTZtlWBbf/r4aHVG2yD5lB3DEHNzc5vi4K0KbOtMbNFqvI751r15iLoj8fKSv403DinL2q5QzLNVH/Sxka+vpeVF1OVms5nFJsv5KdO9Xg/dbndip1lnp+uc5NixY3j3u989azM2sX///qz1DUjOp4MHD2brxZ9qZXc4HOYUcmlBAeLqpVxH4ttEeRVl1CrMOn5Ydz8m5/v+/fvR6XSy63bfvn1oNpuZsqzL1HYKOvZb0mslWXdDp1tpxSarnmrftrCwkE1LWt1riFWWdd6hWGFNqC/lKutC86P477L7tfXfVfOZhpJbxizKrLPf3lUPy47jOHVXKBzHcZw8dffb/rCM0d7itCKg1TjbL6/uhUMUQPla2Pb7bPvEHYWiuCKxV2yTmGVRZ3Uss1ZvdQ8hsp86f/tVeKhubH2GVFurMmvFQtenVUlj8V82FrlMWbYxudZm+bdqst4PbbO2IxTHPerXwkX9TGo1WdeNVpxtHLKuI/v1tD33ymLsY60IYoNWmIkoi+GXr+mln1siQrfbzb6aH1edt7bU2ek6eQ4dOpQNhCGIIhsjNKKb7qP34MGDuX6TFxYWNsWq6l4R5ufnc71CnHbaadmgVkCieJ111lnZ+k6ng8XFxSxPUZZ1/76i6Mr2Gnt+i++16UVBlX9tj1ZXxbdIa6Fcn9L3sVaEgXzrpO25Rn/To+fFj2jfqPfDqr3W97RarcyniX8q8jPWP2msL7W26GnZj6Jti+bL7rFVmYVSu5Oou9/2h2XHcXYddXa6juM4zmbq7Le37WGZiK4B8HQAR5j50YH1vwTgOcqORwE4g5nvT9c3AHwEwJeZ+ekVy8Ti4mJOBRTFTce76n+txtk42LIYI61y6t4KrGIr60LDEeu401BscKjcMtXPKpLaztjIdGKjtSekIoRUyljvCDGlUO9rLB5YK9D6mGmFt+g4xXq+KBo5MRR/HWtNsLbHbCiy0aaLzev9teXGlPpRYuRiirNOH6sfXZ4+hvp8sWlESZZ/Ub6qxqMXUXeFos5M22/v378fl1xySU4VBjYPV22PZ6hHAxndDkj69LV99tptdC8QnU4nt37fvn3ZvSTdr5xq3Gq1sLi4mOuPfTgc5vqL1vG6Za1Kct5LensvCP2HfKD4cLk+xZfLNaj/ZTvboqT3OfRvy9T7ULaPUq7tVSfEKP5rK7edNL0zHnX329s5gt+1AC6JrWTm32PmC5j5AgC/AuA94nBTXgDg09ton+M4uxAiyoU4OSNxLdxvO44zZerut7fNImZ+LxE9vGLyKwBcJzNEdA6ApwH4LQC/WLXMZrOJgwcPZiqp9EErvUDIQbA9P+j+a5X9wTJiiqlVQmWdVnJD5YaU3FjfvyGqxNxqZdbGuIZiX63SXVZ2aERDbUOZYh9SMPQ2IbXSjoaky7bzZXUl60I9UljbbAuAVcHtMazyNbRWbG0/3oKuAzsdyn9cxcZuG8onFO8s/6HYe+lnWXrjsH09h5TwstaTMuqsUNSZafvtAwcO4LLLLsvFFwObW8fK+sKVHlaEffv25dRp+VZDo+flOw1hfn5+kxKtR5STnjK0L2DmTaPhVW1Zsn6jTN2N+RO7XCu4oetruxXYWB24WuuEqLPf3k5luRJEtIBEyXiLWvwqAC8GEP/CyXEcJ4C8RMjP2XrcbzuOs5XU3W/XQev+PgD/omLeJF7uFiK6uGxjIroSwJVAog4cOnQoUwkWFhZy/WHaeGHbO4Qdfazs7TcWv6p/WrHVSrfucUIrhWq/sulRVDarCmrbrPqt499CvRiUKcJlca6amEIb2jddF9Z+W98hu8QmrWgU9ZRh69rGMofUnJiyas+dIjW5bHlMsY3FJltFvWwfQmXGvvwW5T3UmqBtkvNdtrH9qBbVj6jOWzHiZR2d7S5jbL+tffahQ4fwmMc8ZlOMsqXseM7NzeVG6NOj2Mn29ry33wHoeWmdjNkg57qeZ+bgshBbpdqOs92oTJqHq8hOVerst2euLAN4FlRTHoAnAXgGEd0J4M0AvpOI3hjbmJmvZuaLmPmiOsa5OI4zXequUOwSxvbb2mc/5CEP2X5LHcepPXX32zN9uiSi/QC+A8CPyjJm/hUkH44gVShexMw/Gtre0mq1cNZZZ+XU5Ha7jWazmY1F3263c7HDuk9krT6M8tZuFT+t0kp/ktL7hI4d1j1xhBQ/qxSOQpE6Kv8xNdzG4Op9tGWE7CtSXwGUqsIxZdmqzDptLLY2ZGsoRji0H0X7EyNWZ0Wqr7XZ2lpFMdbKWKxMWaaVX3uehPZZ0ujR/zY2NjYtB5L6tGrxxsYGBoNB9pNR+rrdLlZXV9HtdrG+vo7l5WWsr69jbW0tpxKOilxTI25zCYA/BNAA8FpmfoVZH+0FIn1APAFgA8CAmS8a2/gdwFb67Xa7jYc+9KGlx7uspwWi/OhvzWYzGBdftL3tXcL2z2v9WcimMjsdxwkzqt+ets/ezq7jrgNwMYCDRHQYwEsBtACAma9Kk/0AgHcy88p22eE4zqnHiE63AeA1AL4bwGEANxPRDcz8KUnDzL8H4PfS9N8H4BdMLxBPYeajW2H7LHG/7TjOrKjqt2fhs7ezN4wrKqS5FklXRbH1NwG4aatschxn9zOGsvwEAHcw8+fT7d8M4HIAn4qkz/UCsZtwv+04ziwY0W9P3WfvqiDfRqOBAwcOZGEYe/fuRbvdRqvVyoaabrfb2Yd/0r2c/rgPiA9OAVTruif2EV2s2zbb4XyMorAM2+Rf1X7djG9DHWLblYUS2G1iZRcts2EhetrmHWteLQvDCP3K6qmovFBaW7ZNq/OTkAb5DQaDTeEPFl03OuRHT2s7bHN36JjHwjPsObCxsYHhcIher5dNyz8zZ8sHgwHW1tbQ7/fR7/exvLyMXq+HXq+XTXe7XZw4cQLdbhe9Xq9wqO8ypC4UB4noI2r+ama+Ws0/DMBdav4wgCdG8pZeIJ6vFjOAdxIRA/gzk7dTwNzcHBYWFkb2JSF0HkUhFFXLKNumSp6O41RjRL89dZ+9qx6WHcdxgE3NeUdLYtJCTz2xp7dcLxApT2Lmu4noTADvIqJ/Y+b3jmax4zjOqc0IfnvqPntXPSzPzc1lCnKn08Hi4mI2jKksb7VauW7kOp1OpviKGgcUD8xQpi5LeptO8pfmBvtBYNkHKCF7QmplUV5WTS5bHiu/6AO1IkIKsrVdbNDTowzlLPnZerIKb+xDtdAHcfJvh+S2+2zt0h+/xY6VOAit1g6Hw2wI3Y2NjdygHnpa1Gedf0wtFntC6MFNdH2EtpV1Mkx1t9vNpsU2mZaP+rrdLgaDAfr9fpZ+MBhgfX09W762tpZ9AFh2HhUxRhjGYQDnqvlzANwdSWt7gQAz353+HyGi65E0EfrDcgWsmmR9p+M4pwYj+u2p+2z/dNdxnF3HiF0Q3QzgfCJ6BBG1kTjXG2wiOtkLxP9TyxaJaK9MA/geAJ/cgl1wHMc5pRjBb0/dZ+86ZXlhYQHtdhvtdhuLi4uZerxnz55MWY4NO91qtTaphkBepQwpc1r5FEJqtO5SLjQIiE1vCakusW7GYoptTJ0NqeExO2J2FcW5htJbYkOGx4Z0juUtx0sft1g87tzcXPCY6jQ6zresHu0+6nU2ftjWReiYiEq7vr6OXq+Hfr+P1dXVLP53fX09U3VFZQ7Vr1WLNXZfdB2Jgm3rRK/v9/u5mGWr1Etcs04v+Up8slai7XDYozKqsszMAyJ6PoB3IOmG6Bpmvp2InpeuL+oF4iwA16fHrQngTcz8D2Mbf4rjirLjnJqM4rdn4bMrPSwT0S8GFh8DcAsz31YlD8dxnGkwRhgGmPlGADeaZVeZ+WtheoHg5Gvsx45j53biPttxnJ3EGCLHVH12VWX5ovT3d+n805DI4M8jor9h5t8dteDtgIgwPz+fqcnz8/OZyizLRU0WZVmGvpZBQ0KKoVYoixTYmBpr43BDsa8xxTSmQFpCMbkhe4p6kwjtS6iOdT5aQbR2anVYq5VafbRK5cbGRk4ZBk4OdKEV/1h9W/uKsDHCADLbBoNBrrcHPbiG2GT32+6nrY8qqpmOmxaVdWNjI9ebhMT2SiywVqBjZVq7NPacDynJNr0+Z+3Q1/KTWFRmRqPRyOxstVpZ3Yqyv7Gxgbm5uUx1nnRwhzqOADVldoTPdhzHEerst6s+LJ8O4EJmXgYAInopgP8L4MkAbgHgjtdxnFpgPxo7RXGf7TjOjqHufruqZecB6Kn5PoCvYeY1IuqGNiCiawA8HcARZn50YP3FSIKuv5Aueiszv7zKtjHm5uay3i/a7XZuWpRl3RuGjVnWaq9WLmMKm9mf7D/2iw0vbZVRW7YQioPVqrdVBEPbxlRHbb/utSOm8MXqoywW18bDamVXx6uG1OqYShuqP7supEJbOyT2Vnp4EPVWemyQnhq0yqztFWK2x5Rle5xCCrztASOk5ureVWzsd+h4SR72vJQyrb06T+lBRsqTbVut1qb+wwFk9WrrVlRyUcwlbnkShWGcMIxdyMg+G5iN33Ycx6m73676sPwmAB8kIvmi8PsAXEfJl4SxEVOuBfBqAK8vyPd9zPz0Mbd1HMcJUmenOyXG8dmA+23HcWZEnf12pYdlZv4NIno7gCch6Qz6ecwsI6s8J7LNe4no4eMYNe62RLRJTQ6pzNJLhsQ2654plA2bpkNqm1V1xQ49rUft0/Ox2OCiWGmxIWSHjFoV+kle2k6bxtoQU29jWDU8FM9ryxW1cTgc5vrr1aPX6fhgOwIdsDk+OabWW7SCrXtp2NjYyEafi/UjLAqv3h+db+h/VHT8tfwkzl7OI4m/bzQaaLfbmaosPbuEelopKstO62VawdYjUOppGRmz0WjkYpZFSe73+1hZWdk0gp8dzc+V5ckYx2en203dbzuO49Tdb48SIPJRJJ0+NwGAiM5j5i9NWP63EtHH0nxfxMy3j5oBEV0J4EoA2L9//4TmOI6z06m7050i2+GzgQn9tvbZ55133haY4zjOTqfufrtq13E/B+ClAL4KYAOJUsEAHjNB2bciiaFbJqLLAPwtgPNHzYSTMb2vBoCzzz6bRenSI/S1223s2bMnU5b1CH7z8/PBPpJj/dFqFVOrkjq+1Oaj/0Pxy7p8UWB17KjkZfa7UAEUe3SMq1VGi+KFQ4TiqEPrtY2hfdAxvVKu7X/X9pgRU8DLbAgtiyn2VvG2qjanvTrIOdDpdHJ1bsuaRFHWscDSB7iULa0hzWYz6z9cx9/rVgxrU0xht/HwodYNvU82tl7brFVwWS/HdzAY5NTkhYWFTE3udDrodrsTK8tAvZvzpsE2+WxgC/y29tkXXXTR+B1qO46zpYx7z9oq6uy3qyrLLwDwdcx831YVzMzH1fSNRPQnRHSQmY9uVRmO45x61F2hmBJb7rMB99uO42wPdffbVR+W70LSof2WQUQPBfBVZmYiegKSobcncuzMjG63m6lc0leuVXRjMZf6QFlFNKaoyTqtkFpVN6awRupl07RV9qz6F4sF1r026Jhbvc727ACERymsQpmyrJeH0mgF1yqWIcUz9B8qp6h8nXeoD2rbU4Tu+cH2GhKLJY/VT4jYvkvvE6LYSlywVpnb7fam+HhrQ6gVxbYm6HJ1Wt3yoFsH5Hy3+ykx3ZJGzjMd99xut7Nt+v1+ti+TxizXuQuiKbHlPhvYHr/tOM7kFN3n7HzsHh9qRYzNl5U/KnX321Ut+zyAm4jo7wFk3Q4x8+/HNiCi6wBcDOAgER1G0iTYSre7CsAPA/gZIhoAWAPwLE5rO7QtM79utF1zHOdUpc4KxZQY2WcD7rcdx5kddfbbVR+Wv5T+2umvFGa+omT9q5F0MzTytjGGwyFWV1ezL++bzSb6/T56vaS70U6ng1arla1rtVro9XqZkqVjLGPKMhBWl7VKa/vrtUqupA/lbcup+rZmbdXxtnrUOR0LrJVcHVNt97MKo6Szaq5WZyWN7is41KevjfMO1ZXt+ziG7m1Ctz7Y8qW3B9siUaRuj1o/to/monhtXWcSExyqJ3FA0gJSFoMcagWx//bcCMU962mdvtfr5a4dq1RPOnpf3ZvzpsTIPhuYjd92nN1AlRbUWFq7XSyv2Dcx+plCkOcQ8afSwxOA3DOBRufR7/ezaWkRLGJ9fb1wfRl199tVu4779e02xHEcZ6sY1ekS0SUA/hBAA8BrmfkVZv3FiA/GUbjtLHCf7TjOTmMUvz1tn134sExEr2LmFxLR3yH5kjoHMz+jrIBpMhwOsby8jE6nk70VdTodrK2todfrod1uo9VqYXl5edMIfvrr/VjcaextUKtjVlmWHgC0eiu2hvKOvTlWpeztVe+fnJg2RjXUD/Q4qmlMYQypuDoGWI8Qp2N0dSyutT20zyGV1k7begnF6xbZGIrtjamvet4ef1kfayGw55BWYUM2bGxsgIhyccKxcztWFzadVSHs+WHrQNuqW1dCPY3o+XFj5rVdIzrdBoDXAPhuAIcB3ExENzCzHbxj02AcI2w7FXaaz3acOlN0DxY/JnS73Vx6rbTaUVflOyIpQ/tXm2+RT5Tl8s2HvofIaLOiLGvVeFQfa1v7pCcood1ub0nMclW/PQufXaYsvyH9f2WlPXAcx5kxYzTnPQHAHcz8+XT7NwO4HMUj3W3FttuB+2zHcXYcI/rtqfvswodlZr4l/X9PBQNmDjNnirK8UfV6PbRaLfT7/U1qso5Ttj0ICDomVJcTKlv+bWyyVY1jcbs2TZU3NWtvSB3VKq5WbGOjsOkeH3QdlKneZeqz3V9rmy43FLOsFV6dVse/xpRk/W8V/iL12Sqvw+Ewd2y0XbKdfoMPHQfZ3sbq6joMqfyhFg59bGwMulYdrA2xfdTl2LoNHc/QMdd26j60dWuLtLhopdkqLJNgnO5BIvqImr+ak75+hYch6T1COAzgiYFsQ4NxVN12Kuw0n+04VbA+oWxe+2Dru2xsr9025O/1tjIv30YJ8n2SsLa2lk3bb0W00hxqdbbPG6FWPeu3Q/vFnO9dSe4X9l/QvVHoaask2/n5+fktiTcewW9P3WeXhWF8AoGmPIGZJ+3g3nEcZ0uRFyzFUWa+qGiTwDLr92KDcVTZdmq4z3YcZycyot+eus8uC8N4esn62rGxsYFGo5HFR8pbVaPRyPUnHFJRraIqWHXNKm/6jc2qurZfXh17G1JJJ0ErlzpPrX5Kbw5WVQ+pt3rfQ4wTo2TjXIv2RdKE+jC2b9V6XdExtNuHfkC8T+FQ/jaOOBR/bm3W24RU21h9WKUgpKyHbA6l18t1vjFb9HSox4qQCm2PdVH8srZ/kvi3EZvzgERZOFfNn4NEicjgyGAcVbadMjvOZzs7i9i1WXbNlq0P+UtB98wAJCpu1fkq2+qytVosLdPC6upq9kA3HA7R7XZz9yq9rb3XaZ9k/bC0dMs6/dDIzLl1+j90DxR75BlD0ugy5N/2a6z3VfrABzYrySH/qtOPw4h+e+o+uywM44sVjHYcx6kVIz4s3wzgfCJ6BIAvA3gWgGfrBBQfjOPBsm2niftsx3F2KiP47an77EpdxxHRtwD4YwCPQtJnZwPACjPvK9jmGiQqxxFmfnRg/eUAfgPAEMAAwAuZ+f1Vti2i1Wplqmmr1crilGVaRg0T5bXdbgdjZpWdufztm5xWh2NqtSzXI6zJtFaBdXk6drQqWh20vSSEVGabJtSzQsyeUBy2TaeV05jyG4vbCinLupxQ3G7V+rNqbkgxlTdya1csvjekEIfsDdWNTR9SgIuUcrvPRa0UISU6ls7ab/c9lDZ0fEIxyEXK/iSqstgxysMyMw+I6PkA3oHEt13DzLcT0fPS9UWDcQS3nWgHtoBxfHa63Uz8trN1THr92O1FmZXlMm4BkO/xQffpD+R7fJB5XcZgMMj57uFwmLtutSJsRwm1dhbFIetyJV/bShmDmXP7KN9cCNr+ubk5LCwsZPN79uzJpmW0VZ3Wzs/Pz2fzWuG15ZRhfbdeHrpfx8opakksa4Uch1H89ix8dtVBSV6N5On7bwBcBOC5AB5Zss216Xavj6z/JwA3pE/9jwHw1wC+vuK2juM4UUb92ISZbwRwo1l2lZouGoxj07Y1YByfDbjfdhxnRowockzVZ1ceiJuZ7yCiBjNvAPg/RPSBkvTvJaKHF6xfVrOLUAHWZdvGkDe7VquFdruNxcVFtFottFotLCwsZCrz/Px8pjJ3Op1MDQ71sADEYzFDyrJWirXKLPHCUk6r1copvUUUvfmKmhhS5UJqcOiNUpZrFdjWg80/FCult9GKrFUktQKqY3HtfoUUb1u+3ZfYG7O1uUr92v3R9aDzCanGMRv0vut5W17IxpCaH1KVi8q2vWHIv1ZibAuDVdhjCrqtqyr9KNvzMBZvPQqjKsu7lVF9drrN1P32qYg9v3Wfu8BJNVSuN1kv147uk9cuD/WkUKSk2utR20JEWYyvjAanY371tKjFOt9YrxREVNrrjV5vr+eyGNqinhzs/bbIV5Tdm5vNZrZfOiYYQE4plvt/bJ6IcjG/Npb4VKDufrvqEVklojaA24jodwHcg8RRTgQR/QCA3wZwJoCnjZnHlQCuBIClpaVJTXIcZ4dTd6c7JbbFZwOT+23ts88777ytMMlxnB1O3f121YflH0MSHP18AL+A5EvCH5q0cGa+HsD1RPRkJHFwTx0jj6sBXA0Ahw4d4r1796LdbqPdbmPv3r2Zyry0tJRNi8rcarWy/gH1iGzAZrVSq3ChuB/bG4ZGK6R2JDi9bWz7srhSm84qwGUxWbYMq+rqtFp9DtkRGpnOpguVqdeHYqtieRapuFUp2zYUu6XrwKr3sf2y87HlofrRamvofLOqrm1V0IRsj51LZTbaaV22PY/0zyppop4NBgP0+/2J4y5PRWXGsC0+G5jcb2uffdFFF82sm72iGNiytFW2KUpnz3+JixX/qdXc4XCYxQmLcivz8i/5Sf/lgijN2udYX6JjcBuNRi4mWa8fDAZoNpubepfQafV+NhqN3Hy73c72T1RUrR7bvLXyOj8/n/NFi4v59z4dK2zny9La+OBJ7iVF+WxVvruZOvvtqpYdBdBj5nUAv07JcIGdkm0qkzbffS0RHWTmo1uVr+M4px51VyimxLb6bMD9tuM4W0fd/XbVh+V/QqIeSLzaHgDvBPBt4xZMRI8E8Ln0Q5ELkXyxfd+4+QGJ6rdv3z602210Oh2IytzpdLC0tIR2u41Wq5XFMjebTezZsyeLNbIHKqQ8xBRVnd7G6oZiTQP1sem/iioci6eVPIrebm0vD6H9LlJNQ3VRFNsbSmfXx2yNLSuqU53GHjuxIaTAhurcjmJYpMjrMmN1aetE56u31eeURuIHxTZ7rLXSbI9JKP/YeWZbCkJ1pVVk3a+nbpWQGH1tr+yHqMm9Xg+9Xg/r6+sTjeJXd6c7JbbcZwPb47engT1vbU8N3W432IOCjgXW6W3ssL1OxLfKNSCKqZz3KysrufTr6+u561Erz6GYZWufYP3TwsJC1pKjv6mR7eS7GmFubi7rxUH31yv/1sfZvni1D5KepsSWTqeTTeu+iiUvUb21LXpa510Uo2zX27R2fpSeJpzto+5+u+rD8jyrDzs4GRFloWgDIroOwMVIhiw8DOClAFrp9lchaRJ8LhH1kXTr8UxOr6TQtsz8ulF2zHGcU5c6O90pMbLPBtxvO44zO+rst6s+LK8Q0YXMfCsAENFFSBxlFGa+omT97wD4nXG2jdFoNLC0tIROp5NTk0VBbjabWTyzHsEO2PyGa3upsEqcLNNxmUJIudN5S/423hTY3M9hkbpsVVX7FXSRklmkWIfsCsWlxpTfkIpbRMhOq2DYfYqp+qFlZep8qBVAlxPbl9ix0SpIrI9mu6+iyMZGstP2hNRmUbGswlvlWBctCx33UH4SF2mvD4mZFPW43++j2+2i1+uh2+1ibW0N3W4X3W4XKysr2XSRzWXUXaGYEiP7bGD6fns4HOLYsWPB5UXzoRYOfd7q0VuBfN/Asl4vs+ec7dfX9jKhlVk9L+edbnGR/ICT15bEJNv1gm410unsKHBWFdUtOEAS6yvKsk4f82/6vhdSlq1NOt5XRoHV89onaPVXt3yNQ9n9ZZT7j1MP6u63qz4svxDA3xDR3Ui6CjobwDO3yyjHcZxxqbvTnRIvhPtsx3F2CHX324UPy0T0eAB3MfPNRPT1AH4awA8C+AcAX5iCfSNBRNizZw86nU4Wq6xH7pM3X4nTsl/oa2LxpiGlT5dv7bHKQEgtlX+J2YqpmVaV1Mq2KIsx1TEWOxuyvUzN1r9QWruPtsyiON5YXiElKUaZYmGV3iJlWddrkcosaa0KrmMZQ/sd2z+9LraPwOZeMorOx6rlhBT5kJ2yf6LC2X3c2NjIfmtra1lc8okTJ9DtdrG+vp5Ny3JRnK3SNip1drrbyU7z2RsbGzhy5Mim5bbHBTsKWyiGX5/HdpS2lZWVTee57iNYep0QpCeH2Ihmgu7Dl5lzo7aJP9dIHtIjg1Zr5Z4EnFRhJSZY0knfvdJ7kyi7km9Zn8J1wxXg3cEkLYGaOvvtsivpzwBIW9W3AvhVAK8B8ADSrn8cx3HqBBFlAxDVuSuibcJ9tuM4O466++0yixrMfH86/UwAVzPzWwC8hYhu21bLxsBWtlaPReUVhVkU53a7nev7NaQyxsoCyvspjsUjF8XYhtbHYvRCdoZiVUN2xuJ/i2y0xMrR+YYU5qrqr6QtilEus7+Kwhqyx6r0WvnXdhXFNtoyQuXZePnQuaUVZD3KXehcLWrFKGoFCKWLHSOtnIeuG2ZGv9/PertYXV3Ners4fvx4FpssanKv18Py8nKmLHtvGGOzo3w2M6PZbOLEiRO55Wtr+fBqqzSHFFutPts+fm2vDwByKrDtDUnuD7plUKcHsGm97Iu2qUqrm8zra9DeM8pilkP3GOfUYhx1d1xFeKuUZE3d/XbZldUgIrn6vwvAu9W6+j36O47j4OTDT52d7zbhPttxnB3JKH6biC4hos8Q0R1E9JLA+ucQ0cfT3weI6LFq3Z1E9Akiuo2IPlLFtjLneR2A9xDRUSRfUr8vLeiRADZ/wlwD7Bu7VpPlINhYZek/UseYxmLNNEXqrk6jt4/FLIe2KaOqOl1FJdQ2VbUlpMQWxbmG4oJjCq/8Qgp9KDZ3lJjfkKpr4431PhWNSmjrQu+TtVn3klHUghFSmEVJFiVX1OVYvHBMwYpRpXUh1FOHrh/NcDhEt9vNesCQni76/X4Wp9ztdjM1WZZLP8uTxCyPo1AQ0SUA/hBAA8BrmfkVZv1zAPxyOrsM4GeY+WPpujsBnACwAWDAzBeNbfzk7CifTURYWlradA3YUdXs+WDnG43GptHfdJ6hG7CO77VNv41GA61WK6fUhpTl0P44jmU7lFidb1HLqF1W1KpbdXnZvX8cRvHblAyy9BoA3w3gMICbiegGZv6USvYFAN/BzA8Q0aVIwtCeqNY/hUcYTKnwYZmZf4uI/gnAIQDv5JO1MQfg56oW4jiOM01GeViehePdLtxnO46zUxnBbz8BwB3M/HkAIKI3A7gcQOazmfkDKv0HAZwziW2lAU7M/EFmvp6ZV9Syz3Laf2cMIrqGiI4Q0Scj67+eiP6ViLpE9KLA+gYRfZSI3lZlRxzHcYCTCsUIYRiZ42XmHgBxvBnM/AFmfiCdndjxbifj+mzA/bbjOLMh4LcPEtFH1O9KlfxhAO5S84fTZTH+C4C3q3kG8E4iusXkG2U7Y9iuBfBqAK+PrL8fwM8D+P7I+hcA+DSAfaMUKk3UsSYI3ZQN5LsICjVj62n9QVeo2bsoBEI3qVdtqovZM0pzR5UQEUuVskL7UbRfobqKhWnoZaGPXmL/RfsRssWWFwsz0KEOenks71g4hLWn6HyxeYXCMMS2siGpQ7bEyo3VqQ75qBL+ASAXhiEf+MlHffYDP/uxn+0qbBQCzXkHTVza1cyse4YIOV6tGltijpcB/JnJe6dxLabot1utFk4//XScdtppueXjNOnGzsOiZaOk9xALR1Ml7KHKunHT2nSxgaGKpqvuQ9kgQXY4+HEI+O2jBSFtoYsxaDwRPQWJz/52tfhJzHw3EZ0J4F1E9G/M/N4i+7bt09m04PsL1h9h5psB9O06IjoHwNMAvHa77HMcZ/diFIqjzHyR+tmH2XEc7y+rxU9i5gsBXArgZ4noyVuwCzPB/bbjOLNihBbBwwDOVfPnALjbJiKixyDxR5cz832ynJnvTv+PALgeSetiIXX9OvpVAF4MYG9ZwlRCvxIATjvtNAwGg+wjPnnbkWmtDA6Hw2y5yiuqMIQUN62QWqU1pCKG3tqKVNFRlIyYmmnVv9ibZJmqHitrVJuK0toWgVHUZUtVlVvXj1ZLy6Z1F3FFqmyslUPvkx6CVuff7/dz56v+yVu8tj9WJ7E6rYLO36rb2q6QAt7r9bCxsRFUltfX17Nu5ERNXllZyT72m1RZHrGfzlEd76Uxx0tE4ngLVYpdyqtQwW9rn33eeed5d2fOxIzTEjHO9trPxu5Xofmy1kjb2hfLS7fG2jQyMI9ergfrEXuJaNO9S7CDmYXyATYP+jMYDLZEWR7Bb98M4HwiegSALwN4FoBnm/zOA/BWAD/GzJ9VyxcBzDHziXT6ewC8vKzA2nkpIno6gCPMfEuV9Mx8tShGS0tL22yd4zh1Z4yY5czxElEbieO9weQZdbxEtFemkTjeYLzvbmYUv6199hlnnDEF6xzHqTuj+G1mHgB4PoB3IAn7+mtmvp2InkdEz0uT/U8ApwP4E8p3EXcWgPcT0ccAfBjA3zPzP5TZV0dl+UkAnkFElwGYB7CPiN7IzD9atqGoWaLayduPDDgiXcWJqqxVM3njsm94siwUtyxpNCHlTpbpt7NYLGtZnK0mpHIXpbFqaOgXYtxYvaI3aTsfssPaZOsspqBWjVcMqaWhLtl0nel1ofh4PXQ6M2MwGATr1w6UI8ev1+tlZYgyOxwOszd3nWcsdjhWP7ZOYy0mui6tOiLqgdijFXA9vbGxgfX1dQwGg0xZluGuRUHudrtYXV3N0qyvr2cDmUxzuGtmHhCRON4GgGvE8abrr0Le8QInu4g7C8D16bImgDdVcby7kLH9trM7mFTdnSTvUcouUoBDabVv1Pdw8b16nUYPYGXT6nKZ899MhVoj9cBVso2+N8nzjm4tl3uFtYGIMltDw8bbMoHNSnK32821CEnr4KSM6LdvBHCjWXaVmv4pAD8V2O7zAB47qm21e1hm5l8B8CsAQEQXA3iRO1zHcaoS+FCklGk73t2G+23HcSZhHL89TbbtYZmIrgNwMZIv0Q8DeCmAFpDchIjooQA+guSr6SERvRDANzDz8XHLZGZ0u91sXqaJKHvDEpVZVDU7fHHo35YhaAUxtD6klIbyt/lY9drmHVKii1Rc/bO9PEgaG6tk8ytSdUNxTiGVPqbU6u2K3r6L8i+qgyL1VKvEVlm2ce4yrQeuCb3hh/a5yCa9L7r8breb2SU9RAwGA3S73UzZFfXZqtxl9WhtLVKWdcuI7Gu/389Ni93aHlGWB4NBTmWWQUf6/T663W5W/zqfaSrLzklm4bedelOmvBatK2spDbXkCvq+Ehr4qMiOUWy2edt7uI3NlXlpBdPrrNIsaQeDQVDFlfu8Hp7d5iNlASf9mu4NSRC1V8qRe4VsI/5V1okNoXLstFWN19bWcvWyvr6+aYj6caiz3962h2VmvqJk/VdQ0lcpM98E4Kats8pxnN1O3RWKOuN+23GcWVB3v127MIxJiCnLQH741GazmSlmEiskitY4McPydmjVOKtKxvKwZY4bI2zt1TFQZbG4GhvXbG2VuFzZbx2PpRUDnS4WD6x7PdDlWcU8VEd6XchWrQqElFN93CUuWE+H4oVFTdDqakxZtnWr9ym2P7Y3CSlbK7MrKyubVFqtzNrjEWv5sHaF7NYquu75Qh/PkMos9kidhupN52evkzIlqYi6O13HqUqRQrrd25e1UhVNj1N2SMUVbG8MlrJ+gDU2L9vzjlW0tS9ZX1/P5qVHH0FayQQd5ystbjpfHTfcarWycq1irZ9rpLcIfT8CEp+3vLyMRqOR7c/6+jqOHz+OdrsNANn3IUSE1dXV4L5rdXh9fT23XNeLfraS+QcffBCTUHe/vaselh3HcQCM2nWc4ziOM2Pq7Lfra9kYxJTl4XCIZrOZKVmNRiNTuUT1lL6Zy1Td2NtyKLa2SFkOqaCWWExpKG3ord4qpzFluWhftd26frSyHFKoRVm2X+JaG2KxwUBxP5b6S9yQYmvrrqjFQPc+IUqyxAvbaR2Hq+Nzbf0X1U3MPlEKpF663W5mk8Qp9/t9rK2tZaqtLNfqra5XfRzHIdQTiCzXxzB0vuljavuF3k7qrlA4TlUVtur9JvbtSpVrrWwb68NiscRl6m5ZOVZZ1qqt7Y3BomOJgc2xuBqbl/SgpfPS09IqzcxYWVnJfMvq6mpu/sSJE7lyrUpr89U9C3U6nWzeph0Oh1hZSUauF5VY4pp1HR0/fhyNRiNbduLECRw7diyz/8EHH9ykLGv1GEBWjl23FfHIZdTdb++qh2XHcZy6O13HcRwnT9399q56WB4Oh7m3IYkhkpggUQGJkpFi5O2t2WxuUpVjKqZeF4pNtstDqjKwWU2OxYdVVbptXlbV08pg6EvaKoTUXCkvpFLrOrVqsY1xtXGtVg3X+zVKjLe2wcaYiz1SpijFWrHV/f+KqiuxxKIA2DhhTUxRjcVSi2ot57LUT7fbzepIyrfxv7p/4klU5VDvJna67tTZ6To7j5DfkeVVty+aj7Wilf3bbyVCLZjadqtE6zxs2dLyKvdJWW5jifW0Ltvuk/4myK6TZfoeo9XMtbW13DUt4yYI6+vruX3SPTnYcqyaurq6uqkPYaHX66HT6WTzR48ezZTa1dVVHD16NAsduO+++3J1c/To0cxG8eWCVpY3NjZyzyPSkqnrRZRgKVvuWZKOiLIeKmSZKN9i36Sjoup63Ls3P0in3A8npc5+e1c9LDuO49RdoXAcx3Hy1N1v76qHZXkDE6Wt3W5nb1/NZjMXX9psNtFqtTAYDDJlWb+p6jdwUSflZxVbZs69fds4z5DqavvZ1YTe/mOUxSqLbVa9tbHCVokMKSba1lH7WdZ5a6XbjgSn35j1tO6VoYyQjVYVFzt1GbaPYOnRQSvLKysrmborXwiLGi37qHvn0OdIFTulfFG3de8cWo2ftcqre0aREQiBpJVGXyuxc0Cm9XHV555WYcahzk7XyVN0bRSlKdqmLP2osb1WWR41vfVbsf5tQ8qxvmYkH9uCZL8N0eVaZZmZc337x2yTVlixTeZtDxC6rCKl2Y5+F4px1n56eXk5m15ZWcmtsz1anDhxIjevVWmrqOp8gSSWV29r43b37NmTzX/xi1/M5rvdLr7yla9kau8DDzyQ81tf+cpXorHk00T2f35+Hq1WC8yMpaUlAMjtGwDs378/m9brzjjjjNy+nXnmmbl9Wltbwz/+4z9ObGud/fauelh2HMepu0LhOI7j5Km7357JwzIRXQPg6QCOMPOjA+sJwB8CuAzAKoCfYOZby/Ld2NjAiRMn0O/3MT8/DyJCp9PJYo46nU4Wu9xsNtFsNtHv97OeMLRCptHKMhBWSLUCIG9yogjGesQYsc6y6aI8QrbZvm+1eimKpe3RIBQLHVPDrbIcUkx13qH6CcUsi11WAR+lDkX9tPaITbr3CKkniVXWfRzLvPREIaPP6boM2RU79rG61K0fvV6vdF9brVZ2furY+1ArgI29r1p/elp+ujVGT7darU09oVglWZ9zoZj1jY0NHDt2bGRbtZ117oJoJ7JdPlvOg7LvECZVlqv01BAqI+QHi4ilL1OSJd4zpBxrhVZ8p/xLPnJt21Yn8a+yXvLSDyVWeRW1WHpOEJW21+uh0WjklNkTJ05k071eL6c0i8/U+coxklY8PSKdtPIKut/e1dXVnP/q9XpRFRrIxyXbnjJOnDiR2/b48eNRVbrf72c9UADAkSNHsucJ3aIYQ45Fp9PB3r17s+O7sLCAhYUFACf9qsy32+1cmY1GI9cjh2wDnHw2kRhufb+TZxrZZs+ePdl2i4uL2TKNKM5ih3Dw4MGcsnzw4MHcdmtra/jQhz5UWBdl1N1vj3733BquBXBJwfpLAZyf/q4E8KdTsMlxnF2AKBTyc7aEa+E+23GcbWJUv01ElxDRZ4joDiJ6SWA9EdEfpes/TkQXVt02xEwe45n5vUT08IIklwN4PSevRB8kogNEdIiZ7ynKVxSp9fX1rN/CdruNTqeDXq+HVquFVquFhYWFLGa50+lkypiOt9RUUXXtiGYyL+qj7V/Y9l0ZUySK4pZ1Wr29qDV6BLqYsmxjYmVboDg+WL+Zx9LZNDr/kHKs7dT7VCWe2tYHEI4JtsdSx2trxVPbYvtfFsVZ227zlvy1Ddp2fZ5ZxVdGldT5acVWK7nz8/NoNptoNBpot9tZ60ioh5cYZWm0UiF2a6fWarWycjudTman7IfUrdSh9OYhSr3uP1rOUasUjYo/JG8t2+WzpQXFXgNlynLonLUtNJqynhrs+pDvidmviaW3PUqIeinpT5w4kWuVFBVPj4IJnFR95V8UVNl3O9KaVXDF/4tSaWOQmTmL2V1fX8fc3FymHq+vr6PVauH+++/P0t57773Ztt1uN6fKSj/xYptWdOW+qJXlfr+f63lCxw7XCa2e79u3LzvXFhYWcvYfOnQoW7d//3489KEPzY7/0tISDhw4AOCkonr66acDSFRorfBKi51G8tH1Z+939hrRowRKflbJteUIi4uLORVd2wck55ko45NQ1W8TUQPAawB8N4DDAG4mohuY+VMqmX6BfyKSF/gnVtx2E7NSlst4GIC71PzhdNkmiOhKIvoIEX1EX/SO45yauLI8E8by2UePHp2KcY7j1JsR/fYTANzBzJ9n5h6ANyN5YddkL/DM/EEAB4joUMVtN1HXAJGQ1BV8tWfmqwFcDQBEdOINb3jDZ7bTsDE4CKCOd4Q62uU2RQj0YVkLuwxbadPXjLvhLbfc8o5Go6GD6upWT7uRsX324uJi3Xw2sPuvr61iS22apC9gw1Tq6vjx49m0VcIPHz48E5tGpBY+Gwj67Xki+oiavzr1HUD45fyJJsvYC3yVbTdR14flwwDOVfPnALi7wnafYeaLtsek8SCij9TNJqCedrlN1amjXXWxiZmLYmud7WHX+GygPueyxm2qTh3tcpuKGdFvV3k5j6Wp/GKvqWsYxg0AnpsGaH8LgGNlsW+O4zjOzHCf7TjOtKjych5LM9aL/ay6jrsOwMUADhLRYQAvBdACAGa+CsCNSLogugNJN0Q/OQs7HcdxHPfZjuPUipsBnE9EjwDwZQDPAvBsk+YGAM8nojcjCbM4xsz3ENG9FbbdxKx6w7iiZD0D+Nkxsr66PMnUqaNNQD3tcpuqU0e76miTswWcYj4bqKddblN16miX27RFMPOAiJ4P4B0AGgCuYebbieh56froC3xs27IyaZQBHhzHcRzHcRznVKKuMcuO4ziO4ziOM3P8YdlxHMdxHMdxIuyKh+Vxhi6cBkR0JxF9gohuM/0FTtOGa4joCBF9Ui07jYjeRUT/nv4/pCZ2vYyIvpzW121EdNmUbTqXiP6ZiD5NRLcT0QvS5TOrrwKbZlZXRDRPRB8moo+lNv16unzm55Wzc6ij366Dz07tqJ3fdp89sU2zriv32xOw42OWKRm68LNQQxcCuKJs6MJpQER3AriImWfWETkRPRnAMpKRbB6dLvtdAPcz8yvSm9RDmPmXa2DXywAsM/Mrp2mLsukQgEPMfCsR7QVwC4DvB/ATmFF9Fdj0nzGjuiIiArDIzMtE1ALwfgAvAPCDmPF55ewM6uq36+CzUztq57fdZ09s08x8dmqX++0J2A3K8lhDF54qMPN7AdxvFl8O4C/S6b9AciFPlYhdM4WZ72HmW9PpEwA+jWS0n5nVV4FNMyMdPnQ5nW2lP0YNzitnx+B+u4A6+m332RPbNFPcb0/GbnhYjg1pWAcYwDuJ6BYiunLWxijOkgED0v8zZ2yP5vlE9PG0yW9mzUFE9HAAjwPwIdSkvoxNwAzriogaRHQbgCMA3sXMtaknZ0dQV79dV58N1Pf6cp9dzSZgxnXlfnt8dsPD8lhDF06JJzHzhQAuBfCzaTOWE+dPAXwtgAsA3APgf8/CCCJaAvAWAC9k5uOzsMESsGmmdcXMG8x8AZLRj55ARI+eZvnOjqeuftt99mi4z45QN58NuN+ehN3wsDzW0IXTgJnvTv+PALgeSdNjHfhqGlcl8VVHZmwPAICZv5pezEMAf44Z1Fcay/UWAH/JzG9NF8+0vkI21aGuUjseBHATgEtQ0/PKqSW19Ns19tlADa+vOvgh99mj4357dHbDw3I27CERtZEMXXjDjG0CES2mwf0gokUA3wPgk8VbTY0bAPx4Ov3jAP7fDG3JkAs25Qcw5fpKP4B4HYBPM/Pvq1Uzq6+YTbOsKyI6g4gOpNN7ADwVwL+hpueVU0tq57dr7rOBGl5f7rOr21SDunK/PQE7vjcMAEi7YHkVTg5d+FuztQggov+ARJkAkmHF3zQLu4joOgAXAzgI4KsAXgrgbwH8NYDzAHwJwI8w81Q/3IjYdTGSJioGcCeAn5ZYqinZ9O0A3gfgEwCG6eJfRRJvNpP6KrDpCsyorojoMUg+BGkgeeH+a2Z+ORGdjhmfV87OoW5+uy4+O7Wldn7bffbENs3MZ6d2ud+egF3xsOw4juM4juM428FuCMNwHMdxHMdxnG3BH5Ydx3Ecx3EcJ4I/LDuO4ziO4zhOBH9YdhzHcRzHcZwI/rDsOI7jOI7jOBH8YdkJQkSnE9Ft6e8rRPTldHqZiP5km8p8IRE9dzvyHgciupOIDhasfzMRnT9NmxzHcUK4z3af7Wwf3nWcUwoRvQzAMjO/chvLaAK4FcCFzDzYrnJGgYjuBHARMx+NrP8OAD/KzP91qoY5juMU4D7bfbaztbiy7IwEEV1MRG9Lp19GRH9BRO9M3+h/kIh+l4g+QUT/kA75CSL6ZiJ6DxHdQkTvMCMZCd8J4FZxukT080T0KSL6OBG9OV22SETXENHNRPRRIro8Xd4golem5X6ciH4uXf5dabpPpNt10uV3EtGvE9Gt6bqvT5efnu7LR4nozwCQKvfviehjRPRJInpmavP7ADw1vWk4juPUDvfZ7rOdyfGHZWdSvhbA0wBcDuCNAP6Zmb8JwBqAp6XO948B/DAzfzOAawCERsV6EoBb1PxLADyOmR8D4Hnpsl8D8G5mfjyApwD4PUqGpb0SwCNU+r8konkA1wJ4ZmpPE8DPqPyPMvOFAP4UwIvSZS8F8H5mfhySIUDPS5dfAuBuZn4sMz8awD8AADMPAdwB4LGjVJjjOM4McZ/tPtsZEX9Ydibl7czcRzK0ZwOpU0rnHw7g6wA8GsC7iOg2AP8dwDmBfA4BuFfNfxyJA/1RANLE9z0AXpLmcxOAeSTO8akArhKFIx2q8+sAfIGZP5tu+xcAnqzyf2v6f0tqJ9L1b0zz+HsAD6h9eSoR/Q4R/SdmPqbyOQLg7GDNOI7j1A/32e6znRHxpghnUrpA8sZORH0+GQQ/RHJ+EYDbmflbS/JZQ+JIhachcYTPAPA/iOgb07x+iJk/ozckIgJgg++pit0ANpC/DjYF8TPzZ4nomwFcBuC3ieidzPzydPV8arvjOM5OwH22+2xnRFxZdrabzwA4g4i+FQCIqJU6UcunATwyTTMH4Fxm/mcALwZwAMASgHcA+LnU0YKIHpdu+04Az5M4NCI6DcC/AXg4ET0yTfNjAN5TYut7ATwnzeNSAA9Jp88GsMrMbwTwSgAXqm3+I4Dby6vBcRxnR+A+23EM/rDsbCvM3APwwwB+h4g+BuA2AN8WSPp2nGxyawB4IxF9AsBHAfwBMz8I4DcAtAB8nIg+mc4DwGsBfCld/jEAz2bmdQA/CeBv0nyGAK4qMffXATyZiG5F0nz4pXT5NwH4cNqU+GsAfhMAiOgsAGvMfE+12nAcx6k37rMdZzPedZxTG4joegAvZuZ/n7UtVSCiXwBwnJlfN2tbHMdxpo37bOdUwZVlp068BMlHIzuFB5F8hOI4jnMq4j7bOSVwZdlxHMdxHMdxIriy7DiO4ziO4zgR/GHZcRzHcRzHcSL4w7LjOI7jOI7jRPCHZcdxHMdxHMeJ4A/LjuM4juM4jhPh/wcQsM4AS1FHcQAAAABJRU5ErkJggg==\n", 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SMkC88PhjX0UkcXzIQzim1I3JFhFqtVqyPjMzk4xxXbNmTTImamZmhnK5TLlcTsa7uvG3/jhUt6800s6fXuOn8joR+DZ0c8zMgz/uPO3j2z01NZW0XalUolarJcvVajVxXKlUKh1Ofs7mtOMOx8H7x+xvC+30X0X54818G0J7SqVSsuw+oROdb5vL449/S9t/eKy+Ta4+vy7XFqpKs9mk1Wol40AbjUYydt+N93fLjUaD97znPdx1110DOYuUSiX1xyXu2rVr85Bj34wRsRw12yEiHHjggUA07rXVanHUUdHbXaep8/PzSbqPG4/rOgf7778/tVot8WOZmZnp+J6enu6ox+m5G+fqvmdnZ6lUKsl16/S+3W7vM+7UHYPfQVHVZN1dv/764uJi5njXWq3WMebU3U/cPtesWZOM6XV53brTx3B8sCN0eCuXy13H0HYr26+DXzfyOkz3c88a5P5WBDZu3Mh11103sOFF1217smwYxorC/ek0DMMwlgdF1+3iWmYYhjEA/b7OMwzDMCZL0XXbOsuGYaw4iiy6hmEYxr4UWbets2wYxoqi6E8oDMMwjE6KrtvWWTYMY0VRdNE1DMMwOim6bo+ssywilwBnANtU9biU9L8CzvHseBhwiKruiNNLwHXAHap6Rp59VioVjjzyyMQL15+pz83gVy6Xk+3OY9lFEPAHl2dFCUnzVA2nPU77uGgK/rLbp4uw4EcQSNuvT5p9fuQIFyHBn1XNj5Lg2+BHUvA/fnQE34Zw2ljfpkE9gPvB2efvp1tUjbTjCNsvbTY9f1+uPVy0EteubjmcdrrXbHj+ftMidaQds38u+b9zrwghWVOh9rInLS2NrHPe1d9ut1lYWEhm7RMRGo0Gbmr6er2eRMToZls/FFl0i8y4dfuYY47h7W9/+z6zmYbXYej4kxYdwZ+hb+3atR2zqTl98/HPEXef8NdrtVqHHb4NU1NTzMzMJOdpuVxmcXGxY3Y4Fz0izd609XA65F7fadd8uK2bTvrbHd2mTe51TfaTvhyjPRijp8i6PcpJSTYBp2Ylquo7VfV4VT0eeB3wdSe4MS8HfjhC+wzDWIGEf0iNvtiE6bZhGGOm6Lo9ss6yqn4D2NEzY8TZwKVuRUSOBJ4OfHQEphmGsYJxbwDcx8iP6bZhGJOg6Lo98emuRWQN0ZOMz3mb3w28Gug5ObiInCci14nIdUswl7hhGCuAIj+hWAkMo9u+Zu/evXt0RhqGsawosm5PvLMMPAP4L2/MmxsvtzlPYVW9WFU3qurGrPG+hmGsHor+Om+FMLBu+5o9Ozs7ajsNw1gGFF23i/Cs+3l4r/KAk4BnisjpwDSwn4h8SlVf0KuitWvXctJJJ1GpVKhUKqxdu5ZqtZosVyqVZJpnN02wm8rYOWk5shydsqb69NN9Z6xuy74DXprDRj/TY7rvLOe2tPTQOSycVrrbMadN0Zy1zzR70+rslrebA1k3x7a0defI50//7E/tHO4jq13SpknNcsjp1U6+bc6edrudOSV3aJvvyOnOZd/utOmrs5yFwv2F2yBy2ltcXKTdbtNsNhNbQ/vb7TatVov5+XmazSb1ep09e/Yk013v2rWLer2eLC8sLCTOgMNQRLFdYSyJbh900EGcddZZmc6jjvAa7zVtvO8sl1a+V/3+ddMtT696DMPIT5F1e6KPYkVkf+DJwL+5bar6OlU9UlWPIRLkr+XpKBuGYUDxn1Asd0y3DcNYaoqu26MMHXcpcDKwXkS2AhcCFQBVvSjO9izgalXdMyo7DMNYXTjR7bPMqcB7gBLwUVV9W5CeGTJNRG4DdgNtoKWqG4c7gslhum0YxiToV7fHrdkj6yyr6tk58mwiClWUlX4NcM1S2WQYxuqgT9EtAR8AngpsBa4VkStU9Qcuj6q+E3hnnP8ZwCuDkGlPUdXtS2H7JDHdNgxjUuTV7UlotnnEGYaxohjgdd5jgVtU9VZVbQCXAWd2yd8RMs0wDMMYjj51e+yabZ1lwzBWFCnxOte7UGXx57ygyBHA7d761nhbWt1pIdMUuFpENqfUbRiGYfSgT90eu2YXIRrGklGpVDjqqKOo1WpUq1XWrVtHtVqlWq0m0TAqlco+0127fzJuStS0aBBhdAA/DTqnvO6W133Spiz260sjnAo1775c1AY/ekK3feVN923wozmENoS2ujxhhIW0yCHhdNNpET+yCOsPI064aA4uOoa/7OcJp+L1f/PwONN+j7QIGVm/m4+zp9VqMTc3R6PRoNFoMDc3R6vVotVqsbCwQKvVQlWTb1dv2PZhZI0wskcYDSMtEkfYvi7ihd9uaXW0Wq0kvdlsJm3bbDaTtndTXqdNO94vwZOJ7T3GpKWdUFk/TEfItJiTVPVOEXkA8FUR+VE8uYfRAxGhWq1O2gzDMApAH7o9ds22J8uGYawoBhiGsRU4yls/ErgzI28YMg1VvTP+3gZcTvSK0DAMw8hJn7o9ds22zrJhGCuOPjvL1wLHisgDRaRKJK5XhJnSQqaJyFoRmXXLwNOAm5bgEAzDMFYVfej22DV7RQ3DMAzD6DcEkaq2ROQC4CqiMESXqOrNInJ+nN4tZNqhwOXxEJYy8GlV/coSHIZhGMaqoR/dnoRm5+osi8hfpGy+D9isqlvy1GEYhjEOBomzrKpXAlcG2y4K1jcRhExT1VuBRw1i5ygxzTYMYzkxwEOOsWp23ifLG+PPF+P1pxM9Bj9fRD6rqu8IC4jIJcAZwDZVPS4l/WSiR+M/izd9XlXflKds5sGUy6xfvz5x6pudnU2W161bl0x3vWbNmmQabOfgFzqPpTmGhU5TbluW45TvoOY78vnb/Pxh2XAfQftl2pFll1v2nbB61Z/Xma6bzWHdbv/Oec05idXr9cRxzTl7+dMpu+XwuEIbQidBINVx0zmoOQczt3/neOamam40Gh1Of92c8vzjS2uXLEdA/9wJ7U9zOC2VSpTL5Q5n1bVr1yavsPypr7s5RYb77Wa37yyaNrX21NRUMo28m37b7cP9rs1mM5nuutFosHv37g7HRbd81VVXdW3jXhRxBqgx07dmw2R02zAMA4qt23nHLB8MnKiqf6mqf0kkwocATwJelFFmE1G4jm58U1WPjz9v6rOsYRjGPqSEIFqNDKLZYLptGMYEKLpu5+0sbwAa3noTOFpV54F6WoE4DMeOtLReDFPWMIzVzQDRMFYifWs2mG4bhjEZiq7bebvvnwa+LSLOo/AZwKWxJ+EPsov15Aki8j2ikB+vUtWb+60gDih9HsD+++8/hCmGYawUiii2Y2ZUmg1D6rav2Rs2bBjSFMMwVgpF1u1cnWVVfbOIfBk4iSgY9Pmqel2cfM6A+76e6EnHnIicDnwBOLbfSlT1YuBigMMPP7z7YFLDMFY8gzj4rTRGpNmwBLrta/bGjRtNsw3DKLxu9zMw5AaiJwllABHZoKq/GHTHqrrLW75SRD4oIutVdfugdRqGYRRddMfIkmo2mG4bhjEaiq7beUPHvRS4ELgHaBM9qVDgkYPuWER+DbhHVVVEHks0fvpXg9YHURSCubk5arUa7XabWq3W4ZWf5r1fLpc7Igj0mvI3tr0jMgCQRFEIozfU6/WOSA4uqoLLPwpcxAt/qmG3zS2HefzlPBEf0kiL0JH2HRK2Q1okjW5RObKiOOQp60eLcOeA/10qlahWq8k546JPTE1NUa1WO6bl7hVBpFdEinA5bd3V4/bpR6Vwy+5Y3HK5XE79XdPO6bRoML3sdBFFwuP0j9ddA61Wi/n5eZrNZhIZo16vJ8tu+7BTIBdZdMfBKDQ7rnfJddswVgLdtDuPrndLS7uXhfna7fY+634ev8/RarV61uHyhMuQHvGpXs90hchNkXU775PllwMPUdXcoigilwInA+tFZCuRcFcgiYX3HODPRKQFzAPP0/iXSyurqh/Lu2/DMFYvRX9CMSb61mww3TYMYzIUXbfzdpZvJwponxtVPbtH+vuB9w9S1jAMIwv3NH2V07dmg+m2YRiToei6ndeyW4FrRORLeGGHVPUfR2KVYRjGEBT5CcWYMM02DGNZUWTdzttZ/kX8qcYfwzCMQlL013ljwjTbMIxlQ9F1O2/ouDeO2pCloNVqsW3bNiqVCpVKhZ07d1Iul6lWqx3TAjuHLRGhUql0OHilTS3s6DaFs5/HDax3Dn9+2bC873To1v399nK08+31pzcOpyN2664N3NTEoXNYOEVyP9Nd9yKcetq3P2166jRntfA7dLTMcqrw2913avQdG/3fKnR+dLb6+/cdRd12/zf3j9U/v4Bk3+7jt1Fa24dTbfvt5NbDY3F2NBqNJL9vQ5pDZ9oU137e8Lj838pva2eDO75Go5HYND8/n0x97Zz7ms1mMiV26EwyCP2KroicCrwHKAEfVdW3Beknkz3Nc9eyk2C5aLaxchjEKTwv7Xa7Q5tCjWg2m/vkT1tOK9vNea3dbndoW6PRSLTFaZlLd1rmmJubS5ZVtUNP05zau/U73D78foO/nlY2vDeGmu1/O3zdrFQqyXLocO2nufSl6Cv0o9vj1uyunWURebeqvkJEvkjkSd2Bqj6z1w4MwzDGSb9PKESkBHwAeCqwFbhWRK5Q1XDyjm+q6hkDlh0LptmGYSxH+tHtSWh2ryfLn4y/35XrCAzDMCbMAK/zHgvcoqq3xuUvA84k30x3w5QdBabZhmEsO/rU7bFrdtfOsqpujr+/nsMAwzCMQhCI7noRuc5bv1ijWeQcRxBFj3BsBR6XUm3aNM95y44F02zDMJYrfej22DW71zCM75PyKs+hqkMFuDcMw1hqUkIQbVfVjd2KpGwLdS9rmuc8ZceGabZhGMuRPnV77JrdaxjGGT3SMxGRS+Ly21T1uJT0M4E3A4tAC3iFqn4rT1nDMIwsBhiGsRU4yls/kuhJRIJmTPOcp+yYGVizwXTbMIzJ0Kduj12zew3D+HkOo7PYRBS8/hMZ6f8BXBFPm/pI4DPAQ3OWTWVqaor99tsviYaxbt26JPrFmjVrqFQqlMtlarVaR2QMP2KE77Hqf6d5+oYRGdKiSfiRHFz0iVKplCxnnSDhPtP2H0bM6Gf67DTP1TBChX+Mbj9hVAQ/f5jXRQVJi+AQtq0fdcL3/vXb1iecnju0pVf7+fvMiggRRtAI6/HbMPS4Dgmjbfj1+vX4547P1NRUh31hxIxuES78dL/+bnnD+kP7fbvD88W1q4h0nAMuUogfJcP/uAgZblr4Yeizs3wtcKyIPBC4A3ge8Hw/g2RP83xvr7LjZEjNhgno9mok1KNw+uEwMo+7Hty3Sw+3h9F13DXn62cYfcfXLhFJIjq4a3x+fj6xcWpqKllfXFxk7969HceUFuXB4WtYuVxOjbATRhJyhNdzrVbrWA/T/SeU4UQX3SJAhIR5Q/yyMzMzrFu3Llk/9NBDk+NzfRK/nB9hYmpqKllPecK6LAgjZgxCH7o9ds3O9YuIyOOB9wEPI4rZWQL2qOp+WWVU9RsickyX9DlvdS3eY/BeZQ3DMLLo98myqrZE5ALgKiJtu0RVbxaR8+P0btM8p5Zd2iPqn0E0G0y3DcOYDP3o9iQ0O+/fl/cT9b4/C2wEzgUenLNsJiLyLOCtwAOApw9Yx3nAeUDHvzrDMFYv/cZZVtUrgSuDbRd5y92med6nbAEYiWbD8Lrta/aGDRuWwiTDMFYAfT7kGKtmd3/H0Fn5LUBJVduq+s/AU/rZUUadl6vqQ4GziMbBDVLHxaq6UVU3zszMDGuSYRjLHPeEwn1WK6PQ7LjeoXTb1+xDDjlkKUwyDGOZU3Tdzvtkea+IVIEtIvIO4C6iV3BLQvz67kEisl5Vty9VvYZhrD4GcPBbiYxUs8F02zCMpaPoup23s/xHRE+hLwBeSeRJ+PvD7FhEHgz8Tzz4+kSicXW/GqbOWq3Ggx70IGq1GrVajdnZWarVKtVqlbVr1yaD7NesWbOPg1/omBcO7O/m4BU6TKVNleycJXzHv9AxLnTsSttnSjsmebo5dvl2OlvDKZTT6g6d3dKcyvxl/3jD/P5xZTlwpbVJWhuEdqS1VZ52C9vPX05zigv3lWaXyx/+JuHv4s4xdy6knTvdflN3HvlTcPt2pdkXtlNWG4VtkJbPd0by28oRTsUdOkQ2m03m5+ep1+vU63V27dpFvV5nYWFh6Cmvl6ODzBKz5JoNS6/bqsrCwkKqRnRbT6vHryPUl7QpjhuNRrK+sLDQ4Vy2sLDQ4dTabrfZs2dPkt5oNDrOaXetupu9r3/+/v2pkf30MH+ag2+4PU2Lw/N+Zmam4/rLqtev0x1DqVRCVZM6nVOdG+4oIh1OXdPT0x2dnVqt1uHUV6vVkuWwnXoR2t1Peq+yRnEosm7ntWw70FDVBeCNEk0XWOtWQEQuBU4mCiy9FbgQqEAyruT3gXNFpEk0+Pq58eDr1LKq+rE+j80wjFVI0Z9QjIm+NRtMtw3DmAxF1+28neX/AE4BnCf0DHA18FtZBVT17G4VqurbgbcPUtYwDCOLoovumOhbs8F02zCMyVB03c7bWZ72QwZpNCPKmhHZZBiGMRRFFt0xYZptGMayosi6nTcaxp54fBoAIrKR6BWcYRhGoSi6V/WYMM02DGPZUHTdzvtk+RXAZ0XkTqIg9IcDzx2VUYZhGINS9Nd5Y+IVmGYbhrFMKLpud+0si8hjgNtV9VoReSjwp8Czga8APxuDfX1RLpc56KCDqFQq1Go1ZmZmqFarlMtlpqenqVQqVKtVZmZmOqJhuGgEbhpeVc3tje+8ecMpRN2nUqmkRrrwy/pRC9K8ofvxGPajMHSzMa2snz+MhpC2n6xIEo5w+uswb2hT1jH7HttZURn8KBW9jtW3I2161nB7VkSRtDr97/C3zJo6PO3ccdFZwsgYbvraMFJGeA7liRYS2tjr9wzbyNmTZUuj0aDZbCaRBBqNRkfUi3q9ztzcXJJvbm6Oer1Oo9HoiFQwCEUW3VGy3DS70Whw9913s3Pnzo7tbkplh5uC2RHqc6lU6jhn3HTKfnp4Tvhx+d39wF93kZIcRx99dLLsIkFkTZ3cb/SGLE1Jy9dtu7EyCKMfhfeUvH2CrDr7zZMnOs0gNoUUWbd7DcP4MOAU6AnAXwMfAHYCF4/QLsMwjIEQkaTzU+RQRCPCNNswjGVH0XW7l0UlVd0RLz8XuFhVPwd8TkS2jNQywzCMASj667wRY5ptGMayo+i63evJcklEXIf6d4GveWnF6/obhmFAoR1FRoxptmEYy5J+dFtEThWRH4vILSLy2pT0c0Tkxvjz3yLyKC/tNhH5vohsEZHr8tjWSzwvBb4uItuJPKm/Ge/owcB9eXZgGIYxTgZ5QiEipwLvAUrAR1X1bUH6OcBr4tU54M9U9Xtx2m3AbqANtFR141AHMBym2YZhLDv60e14kqUPAE8FtgLXisgVqvoDL9vPgCer6k4ROY1oGNrjvPSnqOr2vPZ17Syr6t+JyH8AhwFX6/0juKeAl/Y4mEuAM4BtqnpcSvpDgX8GTgRer6rvCtJLwHXAHap6Rp6DWVxcZGFhITJwaorp6enE+cjP409rOjU11TEVqO8k59mSfPsOdOFU1m7ZfYcOV+GUpf06dTjSnPdCe7s5AqSVyXL8Sju2Xvb2Guiflt93YvO3dSuX19mll2NlmuOcv9xtCupujpnhvkJHjTRHyXa7nXyHDqfOmc7lSXMoHMZBNGyvsJ38Y2+1Wh32pjn8NRoNWq0WzWaTvXv3pjr47d69O3Hom5ubo9ls0mg02Lt3b182h/TTWZ6E8I6KYTQbxq/btVqNY445hmOOOaZXVsPIZFjnsrzl/fth2LcI71nhdOjd9unrdbe8adrsaLfb+9xj/Lp8+/y+i4/fN/LLtlqtDhvr9XrHervdTqZwH4Y+dPuxwC2qeiuAiFwGnAkkmq2q/+3l/zZw5DC29Xwtp6rfTtn2kxx1bwLeD3wiI30H8DLgrIz0lwM/BPbLsS/DMAxgoCfLYxfeUTKEZoPptmEYEyBFt9cHQyQuVlXnpHwEcLuXtpXOhxchfwx82VtX4GoRUeDDXr2Z5J2UpG9U9RtEwpqVvk1VrwWaYZqIHAk8HfjoqOwzDGNl4kTXG/u2XkSu8z7nBUXShPeILrvIEt7NKXUvK0y3DcOYBCm6vV1VN3ofv0ObFisx9fWAiDyFSLNf420+SVVPBE4D/lxEntTLvqI6fLwbeDUw2ytjfHM6D+Cggw4arVWGYSwLgicU23uMIx5EeJ/obT5JVe8UkQcAXxWRH8WdztXGu8mh275mb9iwYfRWGYaxLOjjjeBW4Chv/UjgzjCTiDyS6M/7aar6K7ddVe+Mv7eJyOVEbxe7avbIniwPioi48XKb8+RX1YvdP49169aN2DrDMIrOAPE6+xXeM7OEF3DCu6roR7d9zT7kkEPGYJ1hGEWnT92+FjhWRB4oIlXgecAVQX0bgM8Df+QPQxORtSIy65aBpwE39dphEZ8snwQ8U0ROB6aB/UTkU6r6ggnbZRjGMmCAMcuJ8AJ3EAnv84M6M4UXmFLV3Z7wvmnIQ1iOmG4bhjEw/ei2qrZE5ALgKqIIRpeo6s0icn6cfhHwt8DBwAdjZ0QXqehQ4PJ4Wxn4tKp+pdc+C9dZVtXXAa8DEJGTgVflFdx2u83OnTup1WrUajXa7Ta1Wo1qtQpApVJJpp8ul8uJ56c/TsaPJhB6nIaeo350Cz9SgMvrRw1wkQK840zKummQQ4/XlLbZJz2M3OGn+56vYaSCMPpEWv7wmP3oDf5JHUZncLj2lHgqcT/KQ5Y9ftv5dju73G8W7svP509BmxZ1wrXZ4uJi8vu0Wi0ajUZH9AnfRn8ffvQHf3s49W34m/Satjs89larlXzm5+eTaBJ79+6l3W7TarWo1+tJu7opgNN+i277dPal5fXr8n/nZrOZtI1bbrfbNBqN5DdeWFhI0pvNZhLRw7WzH+EjPB+G9azup7M8CeFdaQyj20b/DBv9oZ+6u62nRW7w82Xdy/Lk9yMzuEgPWYR2dGufsC5/P2Fdi4uLiZZoHOHH6Xi9XqfRaCR1zc/Pd5T1I/o4rUuzQ1U79Cotr9N2l8+P2uTabX5+nlKplByP02D3lHZhYSGJauGihvlTxIc2uzwAu3bt6sj3y1/+cp/oGFu3bmVY+tTtK4Erg20XecsvAV6SUu5W4FHh9l6MrLMsIpcCJxM512wFLgQqEB2QiPwaUYih/YBFEXkF8HBV3ZVeo2EYRm8GeLI8duEtKqbbhmFMgkF0e5yMrLOsqmf3SL+bHuGXVPUa4Jqls8owjNVAkUW3yJhuG4YxKYqs24UbhmEYhjEMRX9CYRiGYXRSdN22zrJhGCuKoouuYRiG0UnRdXtFdZabzSa/+tWvqNVqTE9P02q1qFarVKtV5ufnqVarVCoVZmZmqFQqlMtlZmZmKJfLiZOdw3em853D/HTf2Suc9jfNSS10CgsJHbNCR77Qtqx1f1voOJXmcBg6+WU5iPkOcr4TYdYxpeVzbeVs8h3C6vU6rVYrcUxwTmHOMcHlCZ0T/f2639F9pqammJqa6rgIfYcNNx1zu91m7969iXNFvV5PnOZ8G92ys8f/7fv5fbIc6nwHyHq9njjIzc/PJ7YuxbSiK52cIeOMVUroTNbLYW5Yh7pQq8L6QsflLCc63wnbX8+agtmthzrsnNT8+0Boi9vebDaTdRFJnMJCR1znhBba6gjbO/wN/OmhodPBbH5+vsNBOsy7d+/efRzOsuwI887NzXWk+/tdWFhgzZo1ST133303tVotqee2225L1m+//Xb27NmTlN2yZQtGfxRZt4trmWEYxgAU/QmFYRiG0UnRdds6y4ZhrCiKLrqGYRhGJ0XXbessG4ax4iiy6BqGYRj7UmTdts6yYRgriqI/oTAMwzA6KbpuZ085NkJE5BIR2SYiqfNxS8R7ReQWEblRRE4ct42GYSxf/Fk5jeExzTYMY9QUWbcn9WR5E/B+4BMZ6acBx8afxwEfir+7Uq/X+elPf8r09DS1Wo3Z2Vmmp6epVqusW7cuNRrG9PR08uOUy+W+puf0cVEM0iI8uGgLLsJCu91OpgjOu79+psB228PoE27fLtqCP6WzH83D354WGSOMDtItGobb7u/DRZxw0SXcsmurxcXFZHrnVqvF3NxcEgnCRcZoNpsdx+Zw0S/cv1QXEcP/bUNPcBfdwveCLjJTU1NJlJc1a9ZQqVQolUpMT09TLpcplUpUKpWOyCDdCNPDabtduj99uYsg49rWpVWr1aS8+3Zt7L4XFhaSa2B+fj5Z9rffcccdA7dP0Z9QLFM2MQLNXlxcZO/evZnnnKNbZIW0beEUxqFOhFEjwnR/ymCX368zLO9vd/a6qYzh/ogSDqc1Lt1FZHD7cJElXNQdt91FonDfLuqDaz93PTnm5+ep1+tUq9VkuuZ2u021Wk3azJ/iGGDnzp0A7Nmzh1KpxPbt2xMbp6enufvuuxNbf/KTnyTtvlz0c1yUy+XkdzzssMM4+uijk7QDDzyQBzzgAclU1+VymUMPPRSANWvWMDs721HPzMwMsO+03pVKBYh+C6d57lxwuuzKVCqV5H7uok6E150fjcI/v2dmZjr2PT093VGu2Wxy3nnn5WuYDIqu2xN5sqyq3wB2dMlyJvAJjfg2cICIHDYe6wzDWM64zrz7GMNjmm0Yxigpum5PpLOcgyOA2731rfG2fRCR80TkOhG5zv3bNgxj9eKeUBT1dd4KZSDNdk8tDcNY3fSr2yJyqoj8OB769dqU9MyhYb3KplHUznLae+PUqPCqerGqblTVje7VkmEYqxvrLI+dgTR7/fr1IzbLMIzlQl7dFpES8AGi4V8PB84WkYcH2fyhYecRDQ3LW3YfitpZ3goc5a0fCdw5IVsMw1hG2JPliWCabRjGwPSp248FblHVW1W1AVxGNBTMJ2toWJ6y+1C8gSERVwAXiMhlRE4i96nqXb0K3XfffXOf/OQnfzxy6/pjPVDEd41FtGtom9w02rCvU82kbFpqFhcXWVhYWL+wsLB9165dkzbHZynb6ujeWdLZvHnzVaVSyX9kWajfb4UykGbfcMMNc2vXri2aZkMBr3vMpn6YuF3+9N933XUXd91118RtSqEQmg2puj0tItd56xer6sXxctqwr9ChOGtoWJ6y+zCRzrKIXAqcDKwXka3AhUAFQFUvAq4ETgduAfYCL85Z9Y9VdeOSGzwEInJd0WyCYtplNuWniHYVxSZVPXXSNqw0VpNmQ3HOZR+zKT9FtMts6k6fup1n2FdWntxDxnwm0llW1bN7pCvw52MyxzAMw+iCabZhGAUiz7CvrDzVHGX3oahjlg3DMAzDMAwj5FrgWBF5oIhUgecRDQXzuQI4N46K8XjuHxqWp+w+FHXM8qBc3DvL2CmiTVBMu8ym/BTRriLaZBSbop4zRbTLbMpPEe0ym5YIVW2JyAXAVUAJuERVbxaR8+P0zKFhWWV77VPSZiEyDMMwDMMwDMOGYRiGYRiGYRhGJtZZNgzDMAzDMIwMVkRneZCpC8eBiNwmIt8XkS1BvMBx2nCJiGwTkZu8bQeJyFdF5Kfx94EFsesNInJH3F5bROT0Mdt0lIj8p4j8UERuFpGXx9sn1l5dbJpYW4nItIh8V0S+F9v0xnj7xM8rY/lQRN0ugmbHdhROt02zh7Zp0m1luj0Ey37MskRTF/4EeCpRqJBrgbNV9QcTNYxIeIGNqjqxQOQi8iRgjmgmm+Pibe8Adqjq2+Kb1IGq+poC2PUGYE5V3zVOWzybDgMOU9XrRWQW2AycBbyICbVXF5v+kAm1lYgIsFZV50SkAnwLeDnwbCZ8XhnLg6LqdhE0O7ajcLptmj20TRPT7Ngu0+0hWAlPlgeaunC1oKrfAHYEm88EPh4vf5zoQh4rGXZNFFW9S1Wvj5d3Az8kmu1nYu3VxaaJEU8fOhevVuKPUoDzylg2mG53oYi6bZo9tE0TxXR7OFZCZzlrSsMioMDVIrJZRM6btDEeh7qpaOPvB0zYHp8LROTG+JXfxF4HicgxwAnAdyhIewU2wQTbSkRKIrIF2AZ8VVUL007GsqCoul1UzYbiXl+m2flsggm3len24KyEzvJAUxeOiZNU9UTgNODP49dYRjYfAh4EHA/cBfzDJIwQkXXA54BXqOquSdgQkmLTRNtKVduqejzR7EePFZHjxrl/Y9lTVN02ze4P0+wMiqbZYLo9DCuhs5xn2sOJoKp3xt/bgMuJXj0WgXvicVVufNW2CdsDgKreE1/Mi8BHmEB7xWO5Pgf8i6p+Pt480fZKs6kIbRXbcS9wDXAqBT2vjEJSSN0usGZDAa+vIuiQaXb/mG73z0roLA80deGoEZG18eB+RGQt8DTgpu6lxsYVwAvj5RcC/zZBWxLcBRvzLMbcXrEDxMeAH6rqP3pJE2uvLJsm2VYicoiIHBAvzwCnAD+ioOeVUUgKp9sF12wo4PVlmp3fpgK0len2ECz7aBgAcQiWd3P/1IV/N1mLQER+nejJBETTin96EnaJyKXAycB64B7gQuALwGeADcAvgD9Q1bE6bmTYdTLRKyoFbgP+1I2lGpNNTwS+CXwfWIw3/zXReLOJtFcXm85mQm0lIo8kcgQpEf3h/oyqvklEDmbC55WxfCiabhdFs2NbCqfbptlD2zQxzY7tMt0eghXRWTYMwzAMwzCMUbAShmEYhmEYhmEYxkiwzrJhGIZhGIZhZGCdZcMwDMMwDMPIwDrLhmEYhmEYhpGBdZYNwzAMwzAMIwPrLBupiMjBIrIl/twtInfEy3Mi8sER7fMVInLuKOoeBBG5TUTWd0m/TESOHadNhmEYaZhmm2Ybo8NCxxk9EZE3AHOq+q4R7qMMXA+cqKqtUe2nH0TkNmCjqm7PSH8y8AJV/ZOxGmYYhtEF02zTbGNpsSfLRl+IyMki8u/x8htE5OMicnX8j/7ZIvIOEfm+iHwlnvITEXm0iHxdRDaLyFXBTEaO3wGud6IrIi8TkR+IyI0iclm8ba2IXCIi14rIDSJyZry9JCLvivd7o4i8NN7+u3G+78flavH220TkjSJyfZz20Hj7wfGx3CAiHwbE2++XROR7InKTiDw3tvmbwCnxTcMwDKNwmGabZhvDY51lY1geBDwdOBP4FPCfqvqbwDzw9Fh83wc8R1UfDVwCpM2KdRKw2Vt/LXCCqj4SOD/e9nrga6r6GOApwDslmpb2POCBXv5/EZFpYBPw3NieMvBnXv3bVfVE4EPAq+JtFwLfUtUTiKYA3RBvPxW4U1UfparHAV8BUNVF4BbgUf00mGEYxgQxzTbNNvrEOsvGsHxZVZtEU3uWiEUpXj8GeAhwHPBVEdkC/A1wZEo9hwG/9NZvJBLQFwDuFd/TgNfG9VwDTBOJ4ynARe4JRzxV50OAn6nqT+KyHwee5NX/+fh7c2wncfqn4jq+BOz0juUUEXm7iPy2qt7n1bMNODy1ZQzDMIqHabZpttEn9irCGJY6RP/YRaSp9w+CXyQ6vwS4WVWf0KOeeSIhdTydSAifCfxvEXlEXNfvq+qP/YIiIkA4+F7y2A206bwO9hnEr6o/EZFHA6cDbxWRq1X1TXHydGy7YRjGcsA02zTb6BN7smyMmh8Dh4jIEwBEpBKLaMgPgQfHeaaAo1T1P4FXAwcA64CrgJfGQouInBCXvRo4341DE5GDgB8Bx4jIg+M8fwR8vYet3wDOies4DTgwXj4c2KuqnwLeBZzolfkN4ObezWAYhrEsMM02jADrLBsjRVUbwHOAt4vI94AtwG+lZP0y979yKwGfEpHvAzcA/6Sq9wJvBirAjSJyU7wO8FHgF/H27wHPV9UF4MXAZ+N6FoGLepj7RuBJInI90evDX8TbfxP4bvwq8fXAWwBE5FBgXlXvytcahmEYxcY02zD2xULHGYVBRC4HXq2qP520LXkQkVcCu1T1Y5O2xTAMY9yYZhurBXuybBSJ1xI5jSwX7iVyQjEMw1iNmGYbqwJ7smwYhmEYhmEYGdiTZcMwDMMwDMPIwDrLhmEYhmEYhpGBdZYNwzAMwzAMIwPrLBuGYRiGYRhGBtZZNgzDMAzDMIwM/j+aKK741mNu8QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_tempogram_Fourier_autocor(tempogram_F, tempogram_A, T_coef, F_coef_BPM, \n", " octave_bin, title_F, title_A, norm=None):\n", " \"\"\"Visualize Fourier-based and autocorrelation-based tempogram\n", " Notebook: C6/C6S2_TempogramCyclic.ipynb\"\"\"\n", " fig, ax = plt.subplots(1, 2, gridspec_kw={'width_ratios': [1,1]}, figsize=(12, 1.5)) \n", "\n", " output = compute_cyclic_tempogram(tempogram_F, F_coef_BPM, octave_bin=octave_bin)\n", " tempogram_cyclic_F = output[0]\n", " F_coef_scale = output[1]\n", " if norm is not None:\n", " tempogram_cyclic_F = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_F, \n", " norm=norm)\n", " libfmp.b.plot_matrix(tempogram_cyclic_F, T_coef=T_coef, ax=[ax[0]], \n", " title=title_F, ylabel='Scaling', colorbar=True);\n", " set_yticks_tempogram_cyclic(ax[0], octave_bin, F_coef_scale, num_tick=5)\n", "\n", " output = compute_cyclic_tempogram(tempogram_A, F_coef_BPM, octave_bin=octave_bin)\n", " tempogram_cyclic_A = output[0]\n", " F_coef_scale = output[1]\n", " if norm is not None:\n", " tempogram_cyclic_A = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_A, \n", " norm=norm) \n", " libfmp.b.plot_matrix(tempogram_cyclic_A, T_coef=T_coef, ax=[ax[1]], \n", " title=title_A, ylabel='Scaling', colorbar=True);\n", " set_yticks_tempogram_cyclic(ax[1], octave_bin, F_coef_scale, num_tick=5)\n", "\n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_ClickTrack-BPM110-130.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, \n", " gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "N = 500 \n", "H = 10\n", "Theta = np.arange(30, 601)\n", "X, T_coef, F_coef_BPM = libfmp.c6.compute_tempogram_fourier(nov, Fs_nov, N=N, H=H, \n", " Theta=Theta)\n", "tempogram_F = np.abs(X)\n", "output = libfmp.c6.compute_tempogram_autocorr(nov, Fs_nov, N=N, H=H, \n", " Theta=Theta, norm_sum=False)\n", "tempogram_A = output[0]\n", "\n", "octave_bin=40\n", "title_F = r'Fourier ($M=%d$)'%octave_bin\n", "title_A = r'Autocorrelation ($M=%d$)'%octave_bin\n", "plot_tempogram_Fourier_autocor(tempogram_F, tempogram_A, T_coef, F_coef_BPM, \n", " octave_bin, title_F, title_A)\n", "\n", "octave_bin=40\n", "title_F = r'Fourier ($M=%d$, max-normalized)'%octave_bin\n", "title_A = r'Autocorrelation ($M=%d$, max-normalized)'%octave_bin\n", "plot_tempogram_Fourier_autocor(tempogram_F, tempogram_A, T_coef, F_coef_BPM, \n", " octave_bin, title_F, title_A, norm='max')\n", "\n", "octave_bin=15\n", "title_F = r'Fourier ($M=%d$, max-normalized)'%octave_bin\n", "title_A = r'Autocorrelation ($M=%d$, max-normalized)'%octave_bin\n", "plot_tempogram_Fourier_autocor(tempogram_F, tempogram_A, T_coef, F_coef_BPM, \n", " octave_bin, title_F, title_A, norm='max')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tempo Features\n", "\n", "The cyclic tempogram representations are the tempo-based counterparts of [harmony-based chromagram representations](../C3/C3S1_SpecLogFreq-Chromagram.html). Compared with standard tempograms, the cyclic versions are more robust to ambiguities that are caused by the various pulse levels. Furthermore, one can simulate changes in tempo by cyclically shifting a cyclic tempogram. Note that this is similar to the property of chromagrams, which can be cyclically shifted to simulate modulations in pitch. As one further advantage, even low-dimensional versions of discrete cyclic tempograms still bear valuable local tempo information of the underlying musical signal. \n", "\n", "To illustrate the potential of tempo-based audio features, let us consider the task of [music structure analysis](../C4/C4S1_MusicStructureGeneral.html) (see Chapter 4 of [Müller, FMP, Springer 2015]). We considered different strategies for segmenting music signals including novelty-based, repetition-based, and homogeneity-based approaches. In the latter, the idea is to partition the music signal into segments that are homogeneous with regard to a specific musical property. In this context, we considered various feature representations that capture different musical properties such as timbre, harmony, and tempo. We now indicate how cyclic tempograms may be useful for tempo-based segmentation. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Brahms\n", "\n", "We consider a recording of Brahms' Hungarian Dance No. 5, which has already served as a main example in Chapter 4 of [Müller, FMP, Springer 2015]. The musical structure of this recording can be described by $A_1A_2B_1B_2CA_3B_3B_4D$. In this recording, the different musical parts are played in different tempi. Furthermore, there are numerous abrupt changes in tempo, even within some of the parts. In the following figure, the cyclic autocorrelation and Fourier tempogram representations are shown. Although these representations do not reveal the exact tempi, they capture tempo-related information that may be useful for [**homogeneity-based structure analysis**](../C4/C4S1_MusicStructureGeneral.html). In our Brahms example, the cyclic tempograms yield musically meaningful segmentations purely based on a low-dimensional representation of tempo. These segments cannot be recovered using MFCCs or chroma features, since the homogeneity assumption does not hold with regard to timbre or harmony.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:49:07.289285Z", "iopub.status.busy": "2024-02-15T08:49:07.289102Z", "iopub.status.idle": "2024-02-15T08:49:08.388144Z", "shell.execute_reply": "2024-02-15T08:49:08.387380Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Annotation\n", "filename = 'FMP_C6_Audio_Brahms_HungarianDances-05_Ormandy.csv'\n", "fn_ann = os.path.join('..', 'data', 'C6', filename)\n", "ann, color_ann = libfmp.c4.read_structure_annotation(fn_ann, fn_ann_color=filename, \n", " Fs=1, remove_digits=False)\n", "\n", "# Audio file \n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_Brahms_HungarianDances-05_Ormandy.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, \n", " gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "octave_bin = 15\n", "X, T_coef, F_coef_BPM = libfmp.c6.compute_tempogram_fourier(nov, Fs_nov, N=500, H=50, \n", " Theta=np.arange(30, 601))\n", "tempogram_F = np.abs(X)\n", "\n", "tempogram_A, T_coef, F_coef_BPM, _, _ = libfmp.c6.compute_tempogram_autocorr(nov, Fs_nov,\n", " N=500, H=50,\n", " norm_sum=False,\n", " Theta=np.arange(30, 601))\n", "\n", "fig, ax = plt.subplots(3, 2, gridspec_kw={'width_ratios': [1, 0.03], \n", " 'height_ratios': [2, 2, 1]}, figsize=(8, 5)) \n", "\n", "output = compute_cyclic_tempogram(tempogram_F, F_coef_BPM, octave_bin=octave_bin)\n", "tempogram_cyclic_F = output[0]\n", "F_coef_scale = output[1]\n", "\n", "tempogram_cyclic_F = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_F, norm='max')\n", "libfmp.b.plot_matrix(tempogram_cyclic_F, T_coef=T_coef, ax=[ax[0,0], ax[0,1]], clim=[0,1],\n", " title='Fourier ($M=15$, max-normalized)', \n", " ylabel='Scaling', colorbar=True);\n", "set_yticks_tempogram_cyclic(ax[0,0], octave_bin, F_coef_scale, num_tick=5)\n", "\n", "output = compute_cyclic_tempogram(tempogram_A, F_coef_BPM, octave_bin=octave_bin)\n", "tempogram_cyclic_A = output[0]\n", "F_coef_scale = output[1]\n", "\n", "tempogram_cyclic_A = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_A, norm='max')\n", "libfmp.b.plot_matrix(tempogram_cyclic_A, T_coef=T_coef, ax=[ax[1,0], ax[1,1]], clim=[0,1],\n", " title='Autocorrelation ($M=15$, max-normalized)', \n", " ylabel='Scaling', colorbar=True);\n", "set_yticks_tempogram_cyclic(ax[1,0], octave_bin, F_coef_scale, num_tick=5)\n", "\n", "libfmp.b.plot_segments(ann, ax=ax[2,0], time_max=(x.shape[0])/Fs, \n", " colors=color_ann, time_label='Time (seconds)')\n", "ax[2,1].axis('off')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Zager and Evans\n", "\n", "\n", "In our next example, we consider the song \"In the Year 2525\" by Zager and Evans. This song has a repetitive structure represented by $IV_1V_2V_3V_4V_5V_6V_7BV_8O$. The song starts with a slow intro ($I$-part), which has a contemplative character with a rather vague notion of tempo and rhythm. The music is dominated by a singing voice, which is accompanied mainly by constant strumming of a guitar. The bridge ($B$-part) towards the end of the song is played in the same style. As opposed to the intro and bridge, the eight repeating verse sections ($V$-parts) are played much faster with a clear notion of tempo and rhythm, which are supported by percussive instruments. As the following figure shows, the slow parts can be easily discerned from the fast parts in both cyclic tempograms, $\\mathcal{C}^\\mathrm{F}_{60}$ and $\\mathcal{C}^\\mathrm{A}_{60}$. In the slow parts, the tempograms exhibit a noise-like character, where no clear tempo is visible. In contrast, in the fast parts, the tempograms have a dominating tempo corresponding to the scaling parameter value $s=1.05$, which reflects the actual constant tempo $\\tau=s\\cdot 60\\cdot 2=126~\\mathrm{BPM}$ of the verse sections." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:49:08.391728Z", "iopub.status.busy": "2024-02-15T08:49:08.391541Z", "iopub.status.idle": "2024-02-15T08:49:09.611831Z", "shell.execute_reply": "2024-02-15T08:49:09.611294Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Annotation\n", "filename = 'FMP_C6_Audio_ZagerEvans_InTheYear2525.csv'\n", "fn_ann = os.path.join('..', 'data', 'C6', filename)\n", "ann, color_ann = libfmp.c4.read_structure_annotation(fn_ann, fn_ann_color=filename, \n", " Fs=1, remove_digits=False)\n", "\n", "# Audio file \n", "fn_wav = os.path.join('..', 'data', 'C6', 'FMP_C6_Audio_ZagerEvans_InTheYear2525.wav')\n", "Fs = 22050\n", "x, Fs = librosa.load(fn_wav, Fs) \n", "\n", "nov, Fs_nov = libfmp.c6.compute_novelty_spectrum(x, Fs=Fs, N=2048, H=512, \n", " gamma=100, M=10, norm=True)\n", "nov, Fs_nov = libfmp.c6.resample_signal(nov, Fs_in=Fs_nov, Fs_out=100)\n", "\n", "octave_bin = 15\n", "X, T_coef, F_coef_BPM = libfmp.c6.compute_tempogram_fourier(nov, Fs_nov, N=500, H=50, \n", " Theta=np.arange(30, 601))\n", "tempogram_F = np.abs(X)\n", "\n", "tempogram_A, T_coef, F_coef_BPM, _, _ = libfmp.c6.compute_tempogram_autocorr(nov, Fs_nov,\n", " N=500, H=50,\n", " norm_sum=False,\n", " Theta=np.arange(30, 601))\n", "\n", "fig, ax = plt.subplots(3, 2, gridspec_kw={'width_ratios': [1, 0.03], \n", " 'height_ratios': [2, 2, 1]}, figsize=(8, 5))\n", "\n", "output = compute_cyclic_tempogram(tempogram_F, F_coef_BPM, octave_bin=octave_bin)\n", "tempogram_cyclic_F = output[0]\n", "F_coef_scale = output[1]\n", "\n", "tempogram_cyclic_F = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_F, norm='max')\n", "libfmp.b.plot_matrix(tempogram_cyclic_F, T_coef=T_coef, ax=[ax[0,0], ax[0,1]], clim=[0,1],\n", " title='Fourier ($M=%d$, max-normalized)'%octave_bin, \n", " ylabel='Scaling', colorbar=True);\n", "set_yticks_tempogram_cyclic(ax[0,0], octave_bin, F_coef_scale, num_tick=5)\n", "\n", "output = compute_cyclic_tempogram(tempogram_A, F_coef_BPM, octave_bin=octave_bin)\n", "tempogram_cyclic_A = output[0]\n", "F_coef_scale = output[1]\n", "\n", "tempogram_cyclic_A = libfmp.c3.normalize_feature_sequence(tempogram_cyclic_A, norm='max')\n", "libfmp.b.plot_matrix(tempogram_cyclic_A, T_coef=T_coef, ax=[ax[1,0], ax[1,1]], clim=[0,1],\n", " title='Autocorrelation ($M=%d$, max-normalized)'%octave_bin, \n", " ylabel='Scaling', colorbar=True);\n", "set_yticks_tempogram_cyclic(ax[1,0], octave_bin, F_coef_scale, num_tick=5)\n", "\n", "libfmp.b.plot_segments(ann, ax=ax[2,0], time_max=(x.shape[0])/Fs, \n", " colors=color_ann, time_label='Time (seconds)')\n", "ax[2,1].axis('off')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Notes\n", "\n", "The idea of tempo-based feature representations is to capture local periodicities occurring in the underlying signal. The characteristics of the periodicities typically change over time and can be visualized by means of [spectrogram-like representations](../C2/C2_STFT-Basic.html). There are many ways for computing such time–tempo representations known as **tempograms**, **rhythmograms**, or **beat spectrograms**. In this notebook we considered **cyclic versions** (similar to [chroma-based features](../C3/C3S1_SpecLogFreq-Chromagram.html)), which possess a high degree of robustness to pulse level switches. Rather than measuring the specific tempo of a local section of a given recording, **cyclic tempogram features** allow for capturing the existence or absence of a notion of tempo—a kind of **tempo salience**. Thoshkahna et al. show how such features can be used as **mid-level representation** for segmenting recordings of Carnatic music. Besides their discriminative power, these tempo-based salience features also have the benefit of having a low dimensionality and of possessing a direct musical interpretation. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
\"C0\"\"C1\"\"C2\"\"C3\"\"C4\"\"C5\"\"C6\"\"C7\"\"C8\"
" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }