{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C2\"\n", "

STFT: Influence of Window Function

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

\n", "The STFT depends on both the signal as well as the window function, although one is typically interested only in the signal's properties. The design of suitable window functions and their influence is a science by itself. Following Section 2.5 of [Müller, FMP, Springer 2015], we discuss some examples that illustrate how the window may affect the spectral estimate computed by the STFT.\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Window Type\n", "\n", "The seemingly simplest way to obtain a local view on the signal to be analyzed is to leave it unaltered within the desired section and to set all values to zero outside the section. Such a localization is realized by a **rectangular window**. However, using the rectangular window has major drawbacks, since it generally leads to discontinuities at the section's boundaries. Such abrupt changes lead to artifacts due to interferences which are spread over the entire frequency spectrum. Rather than being part of the original signal, these frequency components come from the properties of the rectangular window.\n", "\n", "To attenuate the boundary effects, one often uses windows that are nonnegative within the desired section and continuously fall to zero towards the section's boundaries. One such example is the **triangular window**, which leads to much smaller ripple artifacts. A window often used in signal processing is the **Hann window** (named after the meteorologist Julius von Hann, 1839–1921). The Hann window is a raised cosine window, dropping smoothly to zero at the section boundaries. This softens the artifacts in the Fourier transform of the windowed signal. However, on the downside, the Hann window introduces some smearing of frequencies. As a result, the Fourier transform of a signal's windowed section may look smoother than the signal's properties suggest. In other words, the reduction of ripple artifacts introduced by the window is achieved at the expense of a poorer spectral localization. \n", "\n", "\n", "\n", "\n", "In the following code cells, we illustrate the effect of the window type using a chirp signal as example." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:43.404088Z", "iopub.status.busy": "2024-02-15T08:58:43.403796Z", "iopub.status.idle": "2024-02-15T08:58:45.567901Z", "shell.execute_reply": "2024-02-15T08:58:45.567285Z" } }, "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 scipy\n", "from matplotlib import pyplot as plt\n", "import librosa\n", "import librosa.display\n", "import IPython.display as ipd\n", "\n", "%matplotlib inline\n", "\n", "duration = 2.0\n", "Fs = 2000\n", "omega = 10\n", "N = int(duration * Fs)\n", "t = np.arange(N) / Fs\n", "x = 0.9 * np.sin(2 * np.pi * omega * t * t)\n", "\n", "plt.figure(figsize=(8, 2))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.plot(t, x, c='k')\n", "plt.xlim([t[0], t[-1]])\n", "plt.ylim([-1.1, 1.1])\n", "plt.xlabel('Time (seconds)')\n", "\n", "plt.subplot(1, 2, 2)\n", "X = np.abs(np.fft.fft(x)) / N * 2\n", "freq = np.fft.fftfreq(N, d=1/Fs)\n", "X = X[:N//2]\n", "freq = freq[:N//2]\n", "plt.plot(freq, X, c='k')\n", "plt.xlim([0, 50])\n", "plt.ylim(bottom=0)\n", "plt.xlabel('Frequency (Hz)');\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:45.597958Z", "iopub.status.busy": "2024-02-15T08:58:45.597685Z", "iopub.status.idle": "2024-02-15T08:58:46.056842Z", "shell.execute_reply": "2024-02-15T08:58:46.056246Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Rectangular window:\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def windowed_ft(t, x, Fs, w_pos_sec, w_len, w_type, upper_y=1.0):\n", " \n", " N = len(x)\n", " w_pos = int(Fs * w_pos_sec)\n", " w = np.zeros(N)\n", " w[w_pos:w_pos + w_len] = scipy.signal.get_window(w_type, w_len)\n", " x = x * w\n", " \n", " plt.figure(figsize=(8, 2))\n", "\n", " plt.subplot(1, 2, 1)\n", " plt.plot(t, x, c='k')\n", " plt.plot(t, w, c='r')\n", " plt.xlim([min(t), max(t)])\n", " plt.ylim([-1.1, 1.1])\n", " plt.xlabel('Time (seconds)')\n", "\n", " plt.subplot(1, 2, 2)\n", " X = np.abs(np.fft.fft(x)) / N * 2\n", " freq = np.fft.fftfreq(N, d=1/Fs)\n", " X = X[:N//2]\n", " freq = freq[:N//2]\n", " plt.plot(freq, X, c='k')\n", " plt.xlim([0, 50])\n", " plt.ylim([0, upper_y])\n", " plt.xlabel('Frequency (Hz)')\n", " plt.tight_layout()\n", " plt.show()\n", " \n", "w_len = 1024\n", "w_pos = 1280\n", "print('Rectangular window:')\n", "windowed_ft(t, x, Fs, 1.0, w_len, 'boxcar', upper_y=0.15)\n", "print('Triangular window:')\n", "windowed_ft(t, x, Fs, 1.0, w_len, 'triang', upper_y=0.15)\n", "print('Hann window:')\n", "windowed_ft(t, x, Fs, 1.0, w_len, 'hann', upper_y=0.15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrogram: Effect of Window Type\n", "\n", "In the next example, we consider a chirp signal $f$ that is in the audible frequency range. In the continuous-time domain, the signal is defined by \n", "\n", "$$\n", "f(t)=\\sin(400\\pi t^2) \\mathrm{\\quad for \\quad } t\\in[0,1],\n", "$$\n", "\n", "which smoothly fades out towards $t=1$. For this chirp, the instantaneous frequency linearly raises from $\\omega = 0~\\mathrm{Hz}$ at $t=0$ to $\\omega = 400~\\mathrm{Hz}$ at $t=1$. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:46.059393Z", "iopub.status.busy": "2024-02-15T08:58:46.059208Z", "iopub.status.idle": "2024-02-15T08:58:46.147894Z", "shell.execute_reply": "2024-02-15T08:58:46.147375Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "duration = 1.0\n", "Fs = 4000\n", "N = int(duration * Fs)\n", "t = np.arange(0, N) / Fs\n", "x = np.sin(np.pi * 400 * t * t)\n", "\n", "size_fade = 256\n", "w_fade = np.hanning(size_fade * 2)[size_fade:]\n", "x[-size_fade:] *= w_fade\n", "\n", "ipd.display(ipd.Audio(x, rate=Fs))\n", "\n", "plt.figure(figsize=(6.5, 1.5))\n", "plt.plot(t, x, c='gray')\n", "plt.xlabel('Time (seconds)')\n", "plt.xlim( [t[0], t[-1]] );\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For computing the STFT, we use a Hann as well as a rectangular window each having a size of $62.5$ msec. The following figure shows the resulting spectrograms. The images of the spectrograms show a strong diagonal stripe, which reveals the linear frequency increase of the chirp signal. Note that the windows introduce some smearing of frequencies in the Fourier domain as well as additional artifacts, which explain the weaker diagonal stripes that run below and above the strong diagonal stripe. These weaker stripes correspond to the ripples occurring in the Fourier transform of the window function. One can observe that the ripple artifacts are stronger when using a rectangular window instead of a Hann window. In general, it is not easy to distinguish the characteristics of the signal and the effects introduced by the window function.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:46.150751Z", "iopub.status.busy": "2024-02-15T08:58:46.150549Z", "iopub.status.idle": "2024-02-15T08:58:47.890535Z", "shell.execute_reply": "2024-02-15T08:58:47.889866Z" } }, "outputs": [ { "data": { "image/png": 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4fV0LzfKgajE5ORlTX3kN2oYPiKXywQwVkq12u42NjY09ykuKXCjJmZqawtzcHABgfX19QHWgEtHpdAAgEiveAxITEjMSMr1nDMxl1sn09DTm5+fR6/Wwvr4eM1mO0/hnopGRkZFxlXAQ5SJVjRPAvqtxanYGsGsQfRVNBatxDgvCVKOs7XS73YEgzFRFUC3cxboWk5OTMV1zP9U4q9XqQNGsdrsd4zU8QRqWwjo1NRWvY2dnJx7PaygjF96tAuy6VNbW1hBCGFAlNEaE/Z+bm8PTn/50PPjggzEYlC6tVCVXBtpq1sns7Cyq1SouXrwYs1roajoOZEUjIyMj4xhx0GqcV7KHCI0qiQVXwDTqw4iFkoJUIOiwapzdbjdZjdPL/FQtUmW+VTEoq8ZJg56qxlmv12OsBPuQUi3ULUPVghU8t7a2BgjBqAwTXgvTU1lVlCTBV0Rl3AbLjD/xiU/ExMQETp8+jfvuuw/vete7YqyLxsho4S511/D6pqamMDs7i263i0ceeSQG1FLdedKTnjTy2Tss5BiNjIyMjCPCQYgFsOsSScVKXGnRLK6yRxXNShlVX5fCt9PpdAZUi1Q1ThplrWtBotNoNPZVjVPJRaoaZ1m5cVUcVLWgIsA4hpRryfdBx5NGX+MslODwOngcU4npHqrVarj//vsjKdze3kaz2YxlxdX9QjeJuo9IRjgu1Wo1FgFj5snk5CTOnz+P1dXVsZ7Fw0BWNDIyMjIOCb6mxX5ST1PVOMchFmVpn4dVjVM3N/PVODudTgw69BkqatRpRFNlvldXV6PcX0Ys1DCnqnGur6+Xxov4saRqMTExEc+p11CWxuvHQt0hDAbV48tiZ+jSmZmZwezsLDqdDtbW1qL6w8wRLTPOdNX5+XksLCxgc3Mzpt0qwahUKrHiKet9NBqN2Obc3BxOnTqFZrM5kNVylMiuk4yMjIxDgMYYjAu/hwiPH2eDMp/ZQOjxfu8P7WtKtSBUtaBR1+viClrTNrkC17RPEhxmiPCatra2sL6+nlQ9hlXjZCrtqGqcHAclFyQo3MBsZ2cnkpNRygmVBJI1xsjU6/Wka0lJFoCBvUx4PxgvsrKyEl00bIPHULlgIOzNN9+M7e1tXL58ORIjfl77WKvVYnouiQ/Pv7i4iGc961l429vehkajMc5jeijIRCMjIyNjnzioS2RYnMJ+qnH6OAX6+MsUkHGqcepqO1WNU+tSpGpj8Nx+H5FutxszK4b1IZXCOjMzE/chGacapy+8xaJZ3W53IIXWu5bKanzQ4DMYVV0i7EMqoFWzXah8kFxwDPScGj/D8y4tLeHOO+9Eu93G2toa7rvvvjiGvHYfm9LtdrGyshLvl6ojMzMzeMpTnoI/+ZM/wdraGnZ2dkY/sIeEHKORkZGRsU+MM3Gy+iONkLpE9luN0xtDNcgpMAiRx3vVQotVlRELVtVMGXWvnGg1Tpb55rbmKaPuXREMwNQy381mEysrK6W7t3qCNawa57DaGEosqFowRbTVamFtbW2gDyR5qeJhWsCM5+RW7T5Wg32ncqHBtWaG5eVlXLhwIak4sa9LS0uYmprCyspKHG8SDN7nubk5nD9/HufOncOf/MmfRNKn43CUyK6TjIyMjBIcdA8Rv7GXugLG2aCsLMNDjXKqT0x7HFWNk+RiVDXOlDvCuyLojtBqnGUVQYFB5cRX46RbYFg1Tp966gtYMYgzpVpoH7xqwcJdVAy08FfqfmqdEHV18dwcA+1D6n5wHOfn5weugUXINEuIZGxychJnz57FbbfdhgceeACXLl2KmTFKYkjcnvCEJ2B9fR1//dd/jbW1tQGXy3EhE42MjIyMBPZDMPzOpcBueeph7TD9VA2iBvaNWzQrtXOpz/BgloeCO4b61EhVX3wwqBbNYrDhsMJdPlZCZX5NYR0nGJQEhWRLi2ZpyfSywlta10KVC5/CqkSPJIdjyWNZgZOuIZ6f97LMtcNngy4dpuDy3vmy63oPFxcXccstt+Dy5ct4//vfP5A+zPPwGhcWFnDzzTfjU5/6VNyhlgRO+3IcyEQjIyPjhgQNyEGKZg0rLz1sUk1V4wQGV8ks0Z3q06hqnJrhQbVB4Q3qsGqcrGuhGR4M5BzWB7oEUtU4WXRrVDVOTRv11TgbjUascDmsGqfPECGx4CZtqloMy9jhPeVY7uzsxGBar1p4YqEEhc+abjLH58CfU58nxrsAwPLyMh5++OGBOBEqHrzehYUFzM/PY319HRcuXIj3XAOHxwk4PizsN0j6WkEmGhkZGaXwGSL7ibcocyWMOpZGOeVvV4OYAqV4H3zIPvhYCb+PCIMYx6nG6YtmNZtNbGxsRNWD/UgFUGqsBF0zvhrnOLESdIcwCPNKqnGyaBbjTbxbJzWWKdWCtTFILspSWNkPXg+fLd4H9l/b4DHenaMuobW1tZhlo+f14zY9PR2zWbj3C6/XP7ejir0dJrKikZGRcUNhXGKhu23qqnE/Zb5Tq31fltqDxGKYUdeaFP7cjFPwqoX2gYoDC2ZRMeDmZCsrK0PLfGsQJlfcSiwYazGqGieDGpVo0SWjGSoHqcbJoMcyV4bGzXhioXEa2gdPkNgOXWQ83hMLX+tE7yvHAhhUyjRGxI+hutXoQmo2m7h06VKyWJk+O9VqdQ9JO2pkopGRkXHd4SDuEE7uqQyPcYI4/SqX0FTHslgLrrbLqnHyeKZ9an/ohvABkKlYDbohWDQLQIwRKFM92IbPzmDlye3tbTQajRirwbiHYUGYWteCRrnRaOxxKYyqxqkGuqwaZ9n9ZDvMlKFrx6sWZdkuHNeUS4Qqirah7Wh7JDb8jP/yBE3vJ++1kholh37sGMB6nJkg2XWSkZFxXYATNyfPcSe21Opy3KJZvV5vgBwQqVoMqf76nUe9MaPqkNoAi8dqCqt3iWgdB7bBdjY3N5OxEqkgTMZ9MItBsyN8CmwZuWBAq+4jwjiJVIZHyjWkdS04Blo0ywfEKtn0dS3UpaIZIikj7a9F4y14TpIKn8Kaitvg7zyPHuefR46B/+LxPP+w49lfJbqMVzkuZEUjIyPjmse4qybvm+cEWJYyqhhW6lt9+ynVYhSx8CWyy6px+roWwzJMNIV1c3MTm5ubuHTpUmk1Tp9Cy1gLM4vpliQnZfEivg1fjbNer+Py5csHqsbJNjY2NoZW4/QKDg0t+7y5uTlADsqyVDyx4OdUtfAqVIpY6LPHNjRLxitAfjz0GWIb6g7y5CKlYvA7/8+/HRcy0TgAzKwK4L0AHgkhfIOZnQHwGwDuBvAAgG8NIaz2P/sjAF4IoAvgB0MIbz3q/mVkXI/QCXQ/0Ame0DLbwzCKXGhGQ+rYVKEm7YMG/jFOgmg2m3vqWng5vKwaZ6/XizuGjpvhoaoFDTsrSO6nGqfuI+KrcZapNz4oVqtxNhqNPapHGbnw1TjpDvF1LVLBpBrAqaoFYyy8alFm4An+zasWqbgNtqN90naVICvBSJETvRYlsEowUrEmR4XjdNMcJ45D0XgJgI8BWOz//jIAfxxCuNfMXtb//aVm9jQA3wbgcwDcBuCPzOwpIYTjrZaSkXENwsdZjEswNJpfI/PHqcapaYCaOghggFikJk6uVFMltn0Q5rBqnGpUh2WYcFtxrraHVeMkxqnGyQwPv1JX6Z5kgBki1Wo19l1TR/dTjZPEYr/VOJXoaTVOX1cjRSw0iJOqR7fbHdgLJuUOYV8UZcTCf/dKhI/HUBIz6rO+Dxwbjevp9Xqo1WoDRMOT3qNGjtHYJ8zsDgBfD+DlAP5V/8/PBfDs/s+vBfB2AC/t//2NIYRtAPeb2acAfBGAPz/KPmZkXKtQcrGfyalMxh8nkFPJRcqwj6rGqYqBd2eoQaVRVmg1Th9rodege1owTsJX4yzL8EgFk7Ia587OTmk1TkL7oASFfWCdBk+QvHrDLwZx+mqcmimz32qcPtYidT/1nmjqKd1aKVeGd82MQy5SbhUlDCkyoePulRu9lrK+KAnk9XnFR5WMMvfOUSErGvvHzwL41wAW5G83hxAuAEAI4YKZ3dT/++0A/kI+93D/bwMwsxcBeBEA3HXXXUfQ5YyMkw2dEMeFTs4a9KdFj8rONcqdwQDIsvOqn94b1XGqcWqGR1kwqq9rYWaxaBYzPPzW7MDeOAfd/bTb7cY9QEhOfIaHGi0tvKWplFQ/vGqQUgzGrcaZUi5SdS0A7FEtylJYdTx8XQslJZ4UjKtc+OP3o1rweP2uJMcraymSoaRcgz61Ii1VDX/8cRGN7DrZJ8zsGwBcDCG8z8yePc4hib/tubshhFcBeBUA3HPPPcdHMzMyrgK8SwQYT73wZb595cZRx6aCD3n8sLoWumIuUy14PMmFXitrQqTSNlW14JeW+d7e3ka9Xo97VAwrVqWkQHdO1SDOUbEaJFgkOSQWzWZzoBpnilikCmb5apypMt+eIKXqWrAPSix8rIZeixJO3i+9B/5epNQPvYeqOgxTLTyp0C8er8TCExT9OoiKkVIyRrVzHMhEY3/4UgD/yMy+DsA0gEUzez2Ax83s1r6acSuAi/3PPwzgTjn+DgCPHmH/MjJOJA7iEvFBnIyX0GC/YcfqhK6TrzeIKaRcAWWxEmXVOFlNU42GJxea3UEFhcRAq3GWqRYkF5plkqrGWUZw1LVD1YKuhHq9vkd5KYv5UHJBl8p+q3Hyvmo1To7BQatxsv9lqoUGXipILnq93RTmlFslRQr0ufUEJRUYqt89WVFSO4xkKIHg331waeo6jws5RmMfCCH8CIAfAYC+ovHDIYR/amY/BeC7ANzb//67/UPeDOANZvYzKIJBnwzg3UfVv4yMk4KUtDvOMcOKVQ1rgwYh5dv3GQ0paJyDN0LeDcHgRe03q3Gm0jZTsRqsxhlCQKvVwtbW1ljVOGnMGWsxMTERgzBXVlYGlJcy1YKxGqOqcZYRC18wi0GUrMapxCJVF6NMtUgRi1QwqV6LGloSvFRWx6jYBB6vSoP+PMwV4kkFv3syofdFXSU6Tp5gpPqaIhn6vzLydLWQXSeHh3sBvMnMXgjgQQDfAgAhhI+Y2ZsAfBRAB8CLQ844ybhOwViJ/cRaqL86FQA56ny+zLaP1SirawEgBiGWBYL6tE+dLDudDlqt1oBh86tKjdVgIKhmeJRV49Rx1GtgyfFqtRp3XaU7gkZVSRawtxonS4VzhX7QapzqUvHVOMvG0lempIHVDJVUbQy2ofEr6hLQLJtxCmbp81OmWigRUPLA51XdKUpQ9Psw90pKvSiLoUiNQUrJGAdK/I9TZTgsomFmz0eRaAEAWwD+RQjhr/v/ew6AVwCoAnh1COHeMdrbCiHMm9ndKDJJP4Ei5KEO4AUhhE+UHXssRCOE8HYU2SUIIVwG8NUln3s5igyVjIzrCr1eb2ACGXcy8ROrTpxlpECP1SwR7xLRPTw8QgiRXHgJ3hMcFpvSyZjKgaoGvg8aQEl3iO4jwiDMcTI8qDrMzs5Gw76xsRGraarx8qrDsGqcW1tbA8GsKdXB7yPC8Wy321G1UILgV+A+fobkgm6ZVDXOlHJxWNU49RlIuS9SGSJKJnicJwfjqBYpgpH6UmJxECWj7HP+Z3UvHQcOWdG4H8BXhBBWzexrUcQ2frEVta1eCeDvoQhZeI+ZvTmE8NF9tP3pEMIz+n3+PgA/isJDkUSuDJqRcQTw7pBxJg9Omt6vPm4QZ6qWAvugbpVxVAvfBzXq3M7cH6vHq0FWcqMbg/ky3yQGZVkuGgiqqoWZxUJVGxsbpdU4OZZHUY0TQHSljFuNU5UkulQ6nU50LfkYB29Qj7Iap57fu1XY1jC3SFmGyLBYCyW0qoSk4i9SLg9VHrwakQoE1S+NfdGf9TPHhcMiNiGEP5Nf/wJF3CNQlI34VAjhvv753oiivMQA0TCzJwJ4Awqe8JYhp1oEsDqsL5loZGQcAjj5cULaz2ShRtWvqEa5RNQY+HgLJRapdnjs9vZ2cpXsDTtdGQTdIZrhkYox0ABKrcbZarVw6dKlAdUi1Qdf14L94Jbo41bjpCvjsKtxalVST3BS8TMaoMtYiVQ1Tu/aSa20QziaapwpolCmLui5hmWIeBeLtpkiGOyfH8syBUN/HkUu9F74rxTJOE6iMeJc58zsvfL7q0KRiTkKLwTwB/2fbwfwkPzvYQBfnDjmFQB+IYTwOjN7sfvfk8zsAyhKV8yWHB8xkmiYWQXA01EEaDYBfCSE8Pio4zIyrndwhQrsz4/rDSqP87ENKfhqnAQNsm4D7sFV9rBqnMPKfJNYqOrh4wt8hsn09HSMc2Dqqa64/UpdiYnuQwIgZnakqnGmrkOrcVYqlUhoDlKNk/eFx/tqnCnVwsda8B5oXQuvFvgVelk1TnVrHWY1zlRcxKhYi1EZIuPEWvjvKWLhryelWihB90oe7weJtyeOSqo1hVoLnh01xnCdLIcQ7tlnm1+Jgmh8Gf+U+FgqcOVLAXxT/+dfBfCT8j91nTwPhVvmOWV9KCUaZvYkFIEkXwPgbwBcQpGm+hQzawD4LwBeG0I4vtqsGRlXEQdVLegrp7yt7YzjEvGrVBoSH1+Q6g9XuqlYDY0NGFWNUzMLfLyIlhtnrAXdEc1mMxbM8hkeqXgPulMYJ8FqnMM2WQMwYDg024VxEqly5alAUK3zcVjVOLvd7kBdDE9wPLlQdwifH1+N07se9qNalAVejhNrMUy1YBwG29LvZXEWw4I6U8oFx0jH3CsXGjfjY1/0/vCZ1+c3RTCOk2gABw8G7asO39v/9etCCI+a2ecDeDWArw1FfCSwv1IS40TOvhnALw/7wDBF498B+AUA3xfcHTezmwF8O4DvRFFGPCPjusRBVQtg0CUC7MrnowLMNIjPG1WVdssUEPXTp+IUuNpjVoUnF1owKmUQfZwDVYdKpRLjHEguyvrgSZKvxsktzT3BIVQ90boWDAQ97mqcvBbeD69alKWwsh+eXPCzGgSqpGCUcsH/+wyT/VTj1M+MW9fCt1kWa+HJxTC3iI4Tv5cFber90BgYJRopRYPElM/j1VI09Dr3ixDCK1EEebKduwD8FoDvDCF8Uj76HgBP7sdgPIJij7HvSDT5rv7/Xg/g+UNO/WUAPj2sb6VEI4Tw7UP+9ziK8uIZGdcNlFToansccFKlasF4C05eo4gFV/zeL++NegqprIayOAkSAwUzI3xtDMK7ZWZnZ2OcBDf2unjx4r6qcTIglIqBr+aZIhaaNqoqDokFq3H6wEI/lodVjZPt0TAfpBqnEgtfjTNFLFKGmO2r0jAsXXRYrIUqEylSUeYWGSfWYj/EYlTMRVn8RSqo0ysZw1wnSjIYTzSspsxhYwzXyX7wYwDOAvj5/nh2Qgj3hBA6ZvYDAN6KIr31NSGEjySOfwmK2lYvAfCb7n+M0TAAOwC+Z1hHxonR+DSAnwoh/KL87fdCCN8w6tiMjJMOEgofLzEOwfA+a2B319JxSIo3zMBgqiNVhxQ6nc6ePUTUHcE2tB4EwUBMrengCY66ARgrMTs7CwBxx1BVPcriNVS1mJ2dHajGubGxsUd5KYuV8NfBfUyudjXOVDXNlGunTLXwqatqwPWeDFMtjqIap48f8bEWep06ZoehWgxzjQxzkXgCWBaboUqFpnh7oqHBw8dFNIDDq6MRQvgelBCAEMLvA/j9EcffD+BL5E/39v/+AICZ/fRlnNFrA/hKM/tiFG6UHSQ2O8vIuJbgFYtxXm5KwzweGFztDyMW3oetcQ5qjMtUC2Y1DMvu0MlS2+l2u9ja2ioNgEwFUDLWIoQQSQn3ABm3GieJgVbjTGW5+FgNXVF6YjFMcQD2upZ8Nc6tra2hrgyvWoxbjdMTC/ZBnzGqN8NUi7LYBBpvVRY8sRimWqRiLUbVtUjFWiixGEUqxlUthrlEfGCnzwjxWSLqJlFyOEzR8ERDiakqaMeFg7pOTjLGIRqNEMLzzOxfA/ifZvatGC9AJCPjRKHb7UZf67gvM42pGlZdJQ2DBvHRrUJ4w54CV/460bNd7Qe3Mtf+UPEYll3ByZkTqc/w0P07yuIk1KiToFSr1RhnQdVA3TqeZJWpFgwkPY5qnH4FTJWr0ymvxqljAWBglW1m0SgrMUmRpGEuEe/KSAWD+ngIdVto7IR3ewxzr3hi4r+UTOhzuR9yoT+XuUO8ojTMPZJKWx3HdZIiHP7z16jr5MRgnNEzAAgh/Aczex8Kv86ZI+1VRsYhodfbrcg5bkCXD2JTN8KoCSeEELMjUkaVbaQCQmlQtKYEyY2u7tgOAzAJFs1Sw5ZyJXACZQAm4y1arVYywyPlUtEUVk0f3dzcHKjGWRYrQaNAP7ivxunrUnjVQd0yJCnA1avGyftL5cOrHj7bZZhyoeNG5SMVDJoiGJ4cHHY1TiUWnviOq1zwmR0Wa5Fyh/igzjKCUUZCPIEYpWgwuJefPy7cqETjx/hDCOGPzewfYEip0YyMqwGNtdAXddRLy89TSufk1+v1olow6rw0aCQl/DvVgmEEpdVqDageei0A4mTHYlcKGlWtplm22icpIDEAgK2tLdTrdSwvLw8YHm/UVS2g6mG2W42T5CIVq8F7oAGtrMZJYqHVOMv6oDK4VuMkIfDVOD3JAwbdKupS6XSKapyqWqgBV/jVNj+nxGI/1TiVWPhqnN6F4eMhPLHwqkXKPaL3KBVrobEfKbcI+6zfPVKuEI5dKtZiGKkY5vrwn0u1N4xwpNrU95XvHo8/LtxQRMPMvqD/4yPyM/F7R9eljIz9QQ38uC+pTrSVSiW2MSrWAkCUsP1k7OM1UuRC/fTeMPvgR6oOCnWH+LRNNaicRKenp2PqJ+MUNjY29uw86gMXNSBOyUmqGuewWAm2QZLR7XYHanN4V4L2wWcGcDyvdjVOKgUp1ULvR4pc8G8p1aKMDJQpDF6ZOI5qnPshF6lgTk8CPCHwgZsp94ZXNHwch/895UopIzFKNFgPhm0dB8YJIr8WMUzR+I/y87MAvBe7FcUCgK86qk5lZAwDScF+yYVfYfoVz6hz0sADe4NBqV6kJFYaeBooL8FzsqULIaVc+KJXKTeAyr/M8GBmBMmBrthpSFKxEkxBpWKzvr4eMzTGiZVg0a1qdXcfEQaT+l1kCe8a4vF0R3Afk1ScgwaUqluFhqfb3S2alUqj9URLjRXvt6aueqVglHLBa/WxHkowhrkuUipEimDoM6btpdJkU/325KKMWHCcdLxSwZz6neM5Ko5Cs0L8z0pG9Phhask4sR2pLBQlyMeJG0rRCCF8JX82s/eHEDKxyLgq6Ha70eDsJ1iKky5JRa/XG/C9jjonDRJ99yQ4mvKWWn2oX11Xp+qb9jEOCq74adjUKCi5UlJAdwSDQFdWVgayVHSVTWOgdS20vsb29nbM8PB7kAxzZ7CAGMkNYyWGEQtO9L4aZ6fT2XO8EkUer/EzNCC8fz7Wwmd3aD9oeJRYeNXCqw3jqhZKLIbVtfCxFsNUixSx8BkiZXEWx0EsvCvDkwtPHLyh92TCk1B1x+nffD+UMHrCURbjoX0iaT+uGI0bORgUyFkmGccM7woAxssU8caIx4+zKtne3o4rVx/0R1JRVo2TBl595d6VkMqsAHbVkmazOWBA1KWibhm2Mzc3F+NLWFOirBqnrvJ8XQuen/uQDKvGqcoJAzkrlQq2t7djhohXXspcIqpa8LpJcHysBDC8GicN9NWsxsk+eNVC76knGEoivfqQcoeo+uGJhaoeo2ItUm6RFMYlF55gjOOmKAu8VPUjpUwoqdSKnvxMqr+jXDYpEqKf8RsKHiVuZKKRkXFkoAGhcgGMXzArhCJLAEBULTRYbBjo4+e5qXjoaqksGFSDHzUAUVdSutL3REfjDNSoq2KhxGJmZgbT09Mws5gymqrGqat9TsqM1WA/ut3uQDXOVIlttqGrOxILs8FqnKl4EW3D+7+VWHBLdB8vUubW0ftK5UTJQSpWQ6/FE4vDqsY5TLUYFWvBzw2LsUj1zROLYa6QcYiFvnNlpGJUrMW4GR6qWni3iieTnrSkKnv6ZyN1Hb49VdS0n94Fx5+PCzdUjIaZ/WfsKhl3mNl/0v+HEH7wKDuWcePAKxejoJOtrqrGUS1oWNSIsA31y6aQqmvhVQtVLFS1oJTv61KkghfVqLMaJ+Mkyqpx+pgTLbxVq9WiG+Sg1TjNLGaYpOpSpFwqqlrQpaLVOFMBsWxDCQqNAQ07i2Z51cCTCy+jA0dXjTMVeDlurIWP10gFcOoX++GJxZWoFmXKhRpaTzJSsRJUFjyp8KTDG/wylaEsNkOP8//T6/HPQeordQ5//cPG7zBxI7pOdM/79x11RzIyytDpdKKLgKqFrtZHHUvpnN8JnWTKyEWr1YqqCeVvYJAcqWqgZCmEEItWMdbCy/h6HQygZKZJu90eyPBQcsD2dbLVwluTk5MDBauGxWvohKtthFBUBWXMSNn28LwOdavQ4GgQZqp4mJILb2BILqjaMF5knKJZ7I+6M7T/PoV1mHKh5CBV10L/X6ZapBQKr1aoe8W36ds+DOXCk4uUgS1TGFJEoEy1GOaW8G0Oi9tQtVNdip4w8He9tnFcPXouf/xx4oYiGiGEvCtrxhVB4yz2e5zPENEJbNSxKVdAtVqN7Qyr9OfTNrvd3YqeIYQBxcHHazCAUfcg0TgHVQsqlUos063VOJvNJlZWVgaMUEr1qFQqkVCQ4LBQFjNEUq6EVLwHq3mGEKJLZ3V1dSBOIqU4qDEhsaBawFLfw4iFNzBmu9U41a3klZOUakGDSGKgqa/HUY0zpVr4eAolF3pNqTZTZKWMVOyHWOjPZe6QcWMtxlUtxom10OBLjbnQFX7K6KuaqTEbqmLpsZ5opMgO5wgS1eMmGzcU0TCzVwH4TyGEDyf+NwfgeQC2Qwi/doT9y7hGcRCSofESfNk4gQwDV5nqp/auBJIC3yceRzkf2N2XRCcmNcraRq/X26NalJELrWtBw9poNLC8vJysa6FGWeMc1MVDo65VQdUAplSLVDVOnr+sGiewWxvDV+Psdrt7VA9PFAHsmdD5xVgJdWn4eASFNxQkppoh4t0yKZJC8J6pK6MsGDQVF+H/lwrcTBXO8jEaKWLh3TnerTOuasH3qYxcpAyukoGUaqGEw5MIr4Sk4iG03LeSFf+Opp5hTxz0/VBFYpgrzV+3V26YDaaxU0eNq6GgHAeG6c4/D+DHzOzzAHwYwCUA0wCeDGARwGsAlJIMM5sG8E4AU/3z/N8hhB83szMAfgPA3QAeAPCtIYTV/jE/AuCFALoAfjCE8NYrubiM40GKVIx6WXQy7Xa7MfuBq/NhrJ6qhbpENGCLJbFT6gePVVcCyQ0wmKGiagNBxaPVau1ZgQKDpa2r1SJanaW+gaIap9aT8K4IH4hGUkCCw4JdVE58fIFOyro6Y/GhEMKeapy+rgbvn65glVj4apzDlJOUasE+b29v76nt4YNJdUxpDPg5JRZXuxqnd4F4oqEE0MdalJELvifss373SMVYcOyGGVdVK4apFp5oeFIxjhLiy3xrPETqevy7oNlOSkj0mVMCq7EVZYqGJ0Y6Vowv0vf7OHBDKRohhA8A+FYzmwdwD4BbATQBfCyE8Ikx2t4G8FUhhC0zmwDwp2b2BwD+CYA/DiHca2YvA/AyAC81s6cB+DYAnwPgNgB/ZGZPCSF0y06QcXWxX1lRV4GEGjK6M1IvWq9XbG2u7agrg0Y91RdO/sOqUHLym5qa2pPKRtWC1SS9QdRVFV0ZnAy73SLDg64IH4yqfeB10KVCFYbuEL+HSCoY1asWtVotxkmkqnF6cqHGRO9Jp9PZkyGSyvBIKRYkBxw/vQYlBjoW3iAwViOlWngFxxtj/i2lWvg4if3GWvgUVk8wUrEWqrzp+PmxPAi58F8ptSIVF6HuB/9OXkmshVct1KinrielLHi1gt9JWtVFquTEqzqeSKTIlleAeD6qnceBG4poECGELQBv32/DoXg7tvq/TvS/AoDnAnh2/++v7bf90v7f3xhC2AZwv5l9CsAXAfjz/Z474/DR6XSi0dKgrGEgEaFLhBKkTiKjzslAwEqlyFqg1K6r7LJ2uL05JyEqH+w7j+eK35+b5IKqCY2DX60zVoKFfWhMGYiprh1doerqkarFxMREjJXY2NiIWSqjUlhJLnyGxzjVOHVFq9U42+12rMZZFiuRWnVywmZ8AwnGfqpx8nlRcnaSq3Gm4jeUiA0jGJ5clBELjpOOlycV/ru6MPTLu0WUVHhXxjBy4dv0sRLqVilTPdXoe4KiBEdVHr4/PJbw5Mk/X2VETK9DFdoQQlw0HAf89VwvONI6GmZWRZGx8rcAvDKE8JdmdnMI4QIAhBAumNlN/Y/fDuAv5PCH+3/zbb4IwIsA4K677jrK7t+w4IumpIIr21EvnPr2dTKgbD4MZYWieF7GOJQdmypWpeSGhpQGWdFqtQYKZqXcGZwISQrozmDa6/Ly8sCKW+VwHq8rPCUWWlMitXsrsDfwjapFtVqNaZ8MwjxINc52u11ajTNFLNQwAelqnMOIhV/dqmpRltkxrmqhxx9HNc5xYy2Oklh4MuDJhd6zVFaHr2vh2/KEZZhqMYxY6Jzg3Spaa0XvrY4l21AlwitqGqidcp/ouOl1TU5ORgWNZJdq6XFhXIX4WsKREo2+2+MZZnYKwG+b2ecO+XhqdPe8gSGEVwF4FQDcc889uWLpIUAZfK93Zduqa1t8aYeBBoFGplLZLRWuk0aqHRokEgQAMeYCQDSmZUWzGo0Gms1mjNtgG0qSdAKanJzE3NwczIpYia2traiapAIgdcWkdS2mpqbQ6xVBmKzGqeOg/eBk6MuFk+D49FU1cIROpKpa9Hq9GEw6qhqnGgZfjZNxIyR7Gt+QIhc6wWushZIDrzSwLwolF56cKCnwBMMrDP4zB6nGOS65GOUO4Tjx+yjjqAQjFRfhXR9XUo1TSUFKdWC/Utfi3RT+eFUmqSB6csv/K9FlYDWAPe9dav7yY1jmRuGzSbIxahfnw8QNqWiY2eeGRObJfhBCWDOztwN4DoDHzezWvppxK4CL/Y89DOBOOewOAI9eyXkzyuHJBV/KcR5y1rNQVwaN3zBiwQmE2RkqhXKiYYGq1CRBY6oTP49XQ6hZFQqqFl450RWMTnozMzOxP6yE+fjjjw+4ATyxUNmYWSpTU1MDrgy/Y6hfqalSwIm0UqnEgl+sxunrYhC8DvaFP9N47qcap5eUGe/h403KiAUNlT5rev37LfPtFYeTUo3zqIlFmdtCScCwDJH9VuP0cRt6/H6IhT4/qlroM8WxI9HWtvgs63upRIFtmll8pvT82kevqKSeT441M7L0eTsO3Miuk180s0kAvwLgDSGEtXEaNrPzANp9kjED4GsA/CSANwP4LgD39r//bv+QNwN4g5n9DIpg0CcDePf4l5IxCjQiSjKA8ZQLkot2ux3JBSePUWi1WjCzWCpcpUwlBykwAJI/60pDXQlUC/xLytRP79v3Kx8a5ampqYFqnCsrK3HVrrEWOiGqf5qxGrVaLSoOrKapq2zvltFJXFULzTDx5ca1D3odnMw5VhxDr1poGzqpq0EiOWSGiCd6fiy8nA+UV+NUgjKKXCgpuFGqcabIhRIFrzAdZjXOlGrhDbe/Fn2fylQLHksFs0z18ormxMREzEjz9z2EENvm+69jNorI8Vz8DL9zgQDg2IiG9uF6wjjBoF9mZk8G8M8BvNfM3g3gl0MIbxtx6K0AXmtFnEYFwJtCCL9nZn8O4E1m9kIADwL4lv55PmJmbwLwUQAdAC8OOePkikFXiLpExn2QaeCB4kWj8RolI3LyJcGgS4TnZjs68RC6atYJxbtUaNRTgVoap0CDomOhqyQadWasbG9vx7RPGmeV2IG9mRXMMpmYmECn08HW1lY8t2ZY8PoI9kFrYwBAs9mM28IrSUqRC46FJxcHqcapcnNq59NUlgnb0Yk95c5IpbD669FngASHpKAsZmOYapFSKLxacbWrcXpioQqDN7hl8RZHXY1zFLnQc2kwqJILJYzD4nU0sFmvg2NLw69KCMG+8t1i/8v6rc8tVRFdjFF54XN/XLhRFQ2EEP7GzP4NirLk/wnAM624oz8aQvitkmM+COCZib9fBvDVJce8HMDLx+x7RgJqRIDBQj2jwAlYj9fJBtgNCvXY3t4eWKESuiIpO1aNmsYHsB+csOiK0EkvhICNjY2RKZecSFjXgnESjUYjbjCm1+BjHNgGYzUYyMldS1dXV5PKibbhV3hTU1ORkO23GqfGrpBU7acaJwmK2W52B2M9yjJMCC+9k1ikqnGOSyz4WSUTqRgJ355XLXw8hZKLq1WNU+9fKj6gLNZiGKlIEQs9zpM/dbNom3y3VMUal1jo8V614P1JKYA+VsOTbc5VPmaGJEAzm0IIkZhMTEzEY7xbxL9Hw8gG330zw+zsLJrNZvIeHwVUlbmeME6MxucDeAGArwfwNgD/MITwV2Z2G4rU0yTRyBgfqjbsF+12O7ovOp1OqTFPodstskoajUb0SQKIK+sy5YMvPA2zd0dwFeG3Qyfop9fVKpUPfl4nP08uAGBzc3PAqLHvVD2UoLA2Bq+x3W5jZWUlBjFypeRXLTqJU7Wo1WqxWBVdGRqrkCIXOpEyy2RnZwdra2t79hAZ5pbRiZxZJr4apycGXrVge+zDYVTjVNVClYEUSdFnSA1+KoXWB1xqXIQnGCe5Gucwd0hKVfJkoIxUaICmj7lQ5U7bHLcaJ/utffYER7OWUqqFb8s/y7oAYbwGSbMn6jqOGpfBuZNt6b3VcffXpNemf2cbvBZe53G6Tm5IogHg5wD8Egr1IlK7EMKjfZUj4wqx3weLL1cIYeDYUSRD5X+6I9QYDoOXnPmSK6nghFZ2XnWHAIMBqVylzM3N7ZE86cLg8WpoOMHpCp1bqpNYNBoNbG5uxjgDbUP7wHEgoZienkalUmwMtrW1tSfeI+XKSK3wAMRqnLoPil/teQmZkzH92eNU42Q/1BjRnUJ3kG5Opgac8AaRY8xz+mqc4xKLFAHwQZwas+GJRZlqkSIV2mYq1qKMXACHV+Z7P7EWZaqFTxv1cRUpJSSVNrqfapzafkq1UCNfRtJHqRY8nveOmxeqmqAqoF43C9rVarUYu8Q5yStG/PLXqO3rfVRiwf7Mzc3FYoHHgbIF3rWMcYjG1wFoMl7CzCoApkMIjRDCrx5p7zIi+FJqGpiqB2XY2dnB5ORkXLnXarXYjpKEsmN1xVir1QZUE8ZIlBGler0OM0Oz2YyrcP9Sq0tEwQlE9yBpt9sDqxidCBnEWalUorG5fPlyjFVIuXW44mM/SE4qlUosVqVBnGxXoW2wPgfHeHt7O6aOXmk1zhTBUdeQVy04TiRpXrXw/m0/OfN4X9dCCY5eizfG6kP3qkUZGfDGXwlGilSUEYxUrAXb83EWfiz3Qy7KvsriITwB9HENasjLVAuvhKRiLa60GieNraoW3k027PnRPqhqoUqYJ/v6LniCMjMzs6cQHWOP9D5SoVUCxvZ8P1PPO8Hj2M/p6elji9G4YV0nAP4IRcYIq3zOAvhDAH/nqDp1PeBK3CHEzs7OwApkFKkAdqO5Jycn4yqBXzqhlYEvMl0j/gUEgPn5+dJz07Cz/1xN60tPcuKL4Ozs7KDRaOyR0FU5UZKjG5R1u7sbezH90sdK0J+rygMzRMyK2hibm5toNBoDhlHHkBOBToTsAwnB2tpaMsOD0DY4Gat07KtxeqPONnzWAcdaJ+KUgqP90FUdyQWP0/vgCUqZcqGuiWEEI+UG8YQjFbjplRhvtJSIDSMYnlyUEQuOk46XN1QpJcAbOu/CUEKRUjI8QSmLt+D9V3JwGNU4fcGrYeRCCS6JCRUHVS7oavXkQskSj9e0bt4fJbxcNPEcSnDYTx0rH6Phx4DvH8F2+M77hdBR4kYlGtOhKEMOoChJbmazR9in6wL7eVi4SvZEQrM79AVRUGlg3AMnl06nM6BapCrb8WWk8sAJgX1XyTRFckIIA4WaOCHpGDC+wZf55meZoUEDwn6pHM0ATMZaVKvVGJuwuroaVY9UvAj9rrwGVvQMIaBer2N9fT0aZ1/wSg2Kr8ZZqVSiYsBYC+2Dn5D9RMqJ7aDVOD2xOEg1zjLVQg24N87+/qtqocf7wls+rkJXoSnVIkUsTnI1Tm9w/ZdXK5RUeNdHilh41WK/xIL/S7lV+EwqsdCxTT0/ejxJhRILBhenCHLKLcM5gnOZKoicW/Qa2Q7nNc5bzB5jKj3viycaOp/q2POZYVt8pufm5kqfl8PEjaxo1M3sC0IIfwUAZvYsFJur3bBQf/hB4IkFa1OMo1jw8xMTE9HY8rgQQqkbhKABbTabUSmgewVAXE1o/zw2NjZQqVQGtkXneKh0OTs7u6fORrPZjIqDGhgaTZ2I6c+lgtJut6Mrgm2oYaa0qys+7sBKJaTRaODy5csDdSl0xeaNOic/xmtQMVHVJBVAWaZacOJkRU+vWvA+sh9+JQxgINZCa2v4SV37oRM0x+ywqnGmSIGOiVcWUqrFqMJZ2qZXQUaRi1HuEI4Tvw9TLVSt8OTAKxRKCjQFVdWIYW4WrzZ4twgN+zByMUy18NU4h6le+hx61QLAANnU++HnBRIkJRd8Lzqd3Sq/ejz7w/5rm1QkeRxJAo/zpCJ1f/XeqoKiJOY4cSW25aRiHKLxQwD+m5mxSuetAJ53ZD26BnAlD4IyZkJlymHQl5gvEicSALHQVNmxmp3BFQAN8+zs7J5+Ed1udyAQky8eiQpVBzPD/Pz8nvHZ2tpCr9eL5EZX7PwsJz9uTMZS39z5lMZZyYlOiDrx0qfLYFBW0/Sr/tRk6CdSGmYGgqYyPAglKGoMqPyoSyMVK6GTuk7MAKJbJlXXoky50NWRrhJVQfL3Y5hyoUpDyq2iben4+piJMtXCKymeYKQUkStVLsoMkI5f6ksNr67QPSlQJUJJBAmL/uxJpRKD/dS10POk6lqoMR2mfHmirH3hvOAzrthOinwxhomuUz5DuvBQsq7qiZkN7Izs30HOh1y0ePcIf06Nlf5ONyxdM95ddBw4bEXDzL4QxT5izwsh/N/9vz0HwCsAVAG8OoRw7xjtbIUQ5s3sbgAfA/AJAAagDuAFYciu7uMU7HqPmT0VwGf3G/14COH49sy9yqCcP04FTIXGV/B3SvD+QSp7sBhEOT09HY0sXzagPMuECgWLPk1OTkYpkRHVNMYKvojNZjO6VFTi5kvI47gq0X70er14HF0yPDcJkq7cOPlQmqzX6+h2u3jssccGAhCB3X1MSI446XFMJicn0ekUu65yH5Jhm4upMeAECCAadKbQqnH0EqwSCw1Ya7fbsUaH+pVTbfiMAPqjlZiMUi1UwudYp1QLJQPDVAuO16i6FvuJtfDVOFNteVVlXGIxrmpxEGKh6oOPixmnroWSiVT8xTDVYj/Eoky14LGqRKWeHyVFmiFC1wPvRaPRGLgH2g/2gcdTTeR70el04sLDLxZSyguDvDmP6EJHn28dH44v+6bzk7//+llgN62e1zc7Oxtjv44DSowOqb0qiorcb3V/eyWAv4di64/3mNmbQwgf3UfTnw4hPKPf3vcB+FEUlb6TGLfowhcCuLv/+Wf2J/vX7aNT1yxSL/ko0KgolHSUgQydUmK3240Eh6v1UYGcmp1AcsOXiVJlCnxh9cVlRU+2wVTLpaWlPe4jujQ04EtdKjye6omZYW5uLn6OBa+0kqZOZupXNivKA8/NzaFWq0V3BoMwtb6HVy10IiO5CCEMbKm+n2qcnJypnGg1zlSshMrvejzvQaoapxpXQu8rr02N+EGqcapaNEy1KHNdjIq1UMLBz/o2vRIyjFiMIhdqVPg9RSz0nnjVIRVrMa5qoffHt1nmVtkvufBkmQSDxtO7lvzzo31h/BHb8HNKilx4V5GqFpxDfHXa1PvEc/J4TS3nO0B3J69bnwHOCzpHcP5R1/KwZ4H/n5iYiH3ltR2nqnHIisa/BPCbKGw48UUAPhVCuA8AzOyNAJ6Loip3hJk9EcAbUNj9tww5xyKA1WGdGKdg168CeBKADwCgsyoAuCGIRsqwc2WuEwGVD5UWFfrwqDQHFEaaygUfahpCQtvsdossju3tbbRarYEiUBqUNTs7G9vwsRs7OztotVqoVCpROeHExBeT1S85gRGslKf7f+hKm+NCYkGCMzMzg263iD5vNpvRHZGKUdBVHwNJGfltZtjY2MDKykpc9atRImjMNdaCqkOr1UKj0Yh7mahRV3KjkxeP5/2mT3lUmW9vYGgEeA+0roWf0PX50ZUxDbEW7NLj90MsRqkWw0iFEgYdR080vMskpXzo2B0msVB53BMLH2sxjFSMUi3KYi28MfaukHGIhaofqhqoaqH31KsWKVeGr8ap7jEqed6tp9fiVQsSi06nyJxKvQtKsPX8bIOLnXq9PvDMKBkAdudZzpXz8/MxXknVPT9X+2dD5wk+Y+wfn00GhR4XRixsz5nZe+X3V4ViR/NUO7cD+EYAX4VBonE7gIfk94cBfHGiiVcA+IUQwuvM7MXuf08ysw8AWECRiZo6PmIcReMeAE8LwzTJGwgMgOSqVsGXbdTxrAeh/kBd2fJ7Clz1Mxi00+nE+IhKpZKMkfDH+uvodDqRiHBTMK+edLvd6NbQuhjAbvaK9y/Pzs7GHPSdnR0sLy8PlKlW48KJTomR7sK6vb2NjY2NPWmbSlBI5ihrc2VFl0q73Y67p5ZleHhJW2sA0C2jq7SUcqJqA8dDyYWPlSgLJvUrbbpUvGqhcQ0pkkLQEKmykHKreBKhBky/pwI39xNrof3V7+zrQciF+uPL3CHeVeCfW08w/P/2G2uhxGI/1TjVKHvVQp8pHUvfFj83bjVOHX+vvvGLCwcl3RqcnSLa2ge+29wEsdstNi2kKlqmvvB8nFumpqbQarUimajVavH588+BH1//pUSG8xCzZkhojgO+vwkshxDuGbO5nwXw0hBC1z1rKQOResG+FMA39X/+VRQuGEJdJ88D8CoUu7MnMQ7R+DCAWwBcGOOz1x34IvNGlZGBUTEcXCGoMWM7DIBMnZsqhaaKURbky8eVfirXe2trK6ofVF34MnHCm5qaiu4QJRdccVPO56TEPij7p9R56tQpdDpFUS8Sg83NzUg2/ISosRqqwqhhX15ejkqISurshyoflUolxp90OkWKXVldCsLLyAxW4wqt1WoNjIMaYO8SUcPEFRXlZ53QU8qFJymqXGiGSkoZKCMXPk6Cq1WvQvh4iFTshY+rKCuc5UlFmSqiZMITDP6cQmpVqqpFilx4l4YnA8NUC43RUCVEDbknFiQFnqCkjIjvsx6jBEHVLBK9sueHbfgMEVUuOKcMUx0060qVzU6nE2velL0LSi6ofHATRKZ1ezVRx0SJ4MTEBBYWFlCpVKJLl198R0mcdG5RZdKPt34BiAs/LnzUZTLMZX3YOKjrpK86fG//169DIRK8sX995wB8nZl1UCgYd8qhdwB4FGmMIzC8GcAvD/vAOKN3DsBHrdi1NW7nGUL4R2Mce+TgQ3EU4MrXzEr37UiBRqlWq8WaDaxxkcoMIcngC0e1gkGZMzMzcVJheW11USgYgEhyQmmRL+fU1BS63W5cEfjr3dzcjK4RGnZObCRTJDQsmKXZHZcuXYrHUT1hzIcqQZyY2Qawm76qygUNGY0277UGgmo1Tr8Pia6QVEZVo+J90pxAvWqR8k+rgWEftWiYV07KVAuVevXcqlr4fnhDrPfKqxY6lmWxFkoshsVaDFMtUkqIJxZq2A5CLMpWpMNcF16NOOxqnEos9lON05MCr1oo2eQYp54f795LVeNU1SKlOHjVgu1w/tLn2hMLr1rweM4VSvqVnOi1eLcQ6+ZwPuQcyPeafebzpkqRFu7y90GfJ/ab7zXVC7pMuDgbpVQfJg5qz0IIr0QR5Ek8kT+Y2a8A+L0Qwu+YWQ3Ak62IwXgEwLcB+I5Ek+/q/+/1AJ4/5NRfBuDTw/o2juX8iTE+c9VwlA+AMvtRJMNPspwA2I7PzlD4YCtOKHzwGbDIyYRtAhhYIdOoqMHgMWZF8KXGfVAV0Q3KaJh5TbrS56Rx+vTp2Pbm5ia2trZiNU0qH3zJdaLm5L6wsBBJ08bGBjY2NmIgpRbN8qqFStCUX6m6aLzIMHLBycxX42S8iHclaB+A3aBeLYbG6y5z6/gJ1asWNNQnuRqnV0BUUfFte9XJqxfAlZX6VvUipTQoAfRKg1cdVMlIKR/+b/7+p1SLUS6RlFtF44c4LimXiLbjYzX2U41Tr5nHMyaLxpvvhd5r7YcnOBMTE7F2jpnF433GFKFjy0UDFU2N19Ay+rx+9kXHgWpJCCESjU6nM6AOqoKhY6kuE84f+o4fF7R/R4UQQsfMfgBFJkoVwGtCCB9JfPQlAN5gZi9BEVCqYIyGAdgB8D3DzjlOeus7zOwJAJ4cQvgjK6qCHu/ol0Al/Cu9OXwJVN5k0SgF5UYqDcCg8qGpmgpdMVMxmJ2djYFPlUqxoRgnmJmZmYGHnKv+EIpt0ScmJmIgoW68xZeUKoxXLer1OgDE1FezolaFyo48nmoBVxUsaX7hwoV43X4S0peXwa0sqlOpVNBoNGIlTTVknAx5HzmJcQLhhE5jzAwRdSUAg4G6nERTPmnd+VQNMccYGKwYyFWq9d1WGgA6qsy3X92m3CFeIRhXtdDjfeEtHdeyWIthqgXlef1sKtZCiYXve0q5SGEcYuFVBTV2qS+vVvgAzDJSoSrDKNUiRSz4u/bbuyKutBpnilhQNUi5MnTBQFLgq3GStI9LLOii5BzD2CUqgqnFgvaBNTHYD86NGqvBd7JSqcTFjbqBlpaW4jPMd52Kqn+GOL/rc6b3iYu5SqUS48+O02VCHIVCH0L4bvf77wP4/RHH3A/gS+RP9/b//gCAfdVkHyfr5HsBvAjAGRTZJ7cD+EUAX72fEx0l6G64EuhElgINucYoEMrKyx5MvgxKVJTc6Avr0ev1kkaJfeE5zQxnz54dOJYvPFf9PIbuDCVVwG4wKK+HmS1MP+Xqnf3SF5TkhsdyQuD+IbqPiTdIurqii4cuIhKDsmqcfiLTFZZOoqOqcfJe+pUwx5HBtCQXarRT5EK/855pwTAlBrpyLSMXet9TpGC/sRb7qcZZFmtRplroNRzUJaJkwrstUsqAJwUagKn3dZibxZMCfZ7Yftmq07twUqoF+8JxGfX8qAKn5ILvX9m7AOy/GmdKffOqB+cH9qHdLjYf9KqZvpMcXwZ3021brVbje8WtAJRo6XVo+urS0lIkwRwTBnlzMaEuk9SXPnc8h85Fw0jxUeMoiMbVxjh07cUo8m7/EgBCCH9jZjcdaa/GhK4QrxSpm9vtFhkWJAN8YTkBEOrjJ1isivEVjUZjwP3B73z5U+fny1er1aKRV3JAo7y0tDRwXKvVwuTkZHRJUAkgwSFB0EmM7pCpqanoBrl8+fKAO4Jjoi8qJ07unLq4uIitrS1UKhVcvnwZIYRkRVCCExknHqog3PmUqg0nFk4iet/Uv6xurlarhXq9PlY1Tm+kgN0VmhIEP6kT3h3CVabWJ1FSMK5y4d1iV6sapycXV6JclBGMMuVC77F+T7lAhtW1oOHRnz2p9ESVf0uRC9//lFuFzyXf2VHkVJ9lJRZcCJDoe6Pu3wVe/0GqcercoOSA79X29jbq9fqeAlqe8Cu5YOEtxo4xlmyUesL7QZcK01enp6exsbGBra2tGHdGV62Op14T/z7s2VNV92rgOFwnVwPjjOZ2CGFHblAN40WiHhuOwo+mvkEShtTGZB5cNZMgTE1NxUmFhtiDK15mZyjT58vG4+fm5jAzM4NerxdfBpXyqRqQXNBfyf4w3XRxcTFORt1uFxsbGwPXTCUB2CVyXFUwoHVubi5OwltbW2g2m7h8+XKcwEhOvDtDJ2L+zCqely5dSqoWKnPqKnFYNU41oLwO9kODATkh0Q+citXwhkFJhaoWWnDLqw1KcFLEgufJ1TjTxIKkdty6Fl4JUdIxTLUYh1h4oqPEgu+J3ldfxE/7pTEGnDM4p/He+Gqc+gxqrIaqFnwvGCuh91X74Y/XuhYky8wQSZEkJXJ0t87NzcVMMr5TrFmjbXiiz8UXNz+kqqqEf3NzM1Y41hgMM4sLQd5TkiBPNPizkhDOhVcbN6qi8Q4z+1EAM2b29wD8LwD+n6Pt1vigYdaNwcowLJaDRk0fWp3EtG0aDa4yWLJaV8kacKjyI/uxs7ODqampKD0qo+fDTuY+Pz8fVwUkIdVqFc1mE5ubm3EcNJCT18rjer0eTp06Ffvc6/Vw+fJlmNmAT5XkgtDVCeNGuILodDp7qnFybAgdR/afsSkAsLm5uaeaZmoiU98uDU8IISoew3YuTUnR1Wo1jhknMJ/h4Vfn3ijSiPgMEQ1oTZEUfR41/uFGq8aZcl3o+1IWuDlMtVAC6Nssc6vsl1zocZohorL9MNXLX5PufgrsuumUGHijTMLFxQPb0eP9s+yfYVUtSC54Da1WC81mc099DW1DCRJVE+6ZxLoYmrnl2/DKy/T0NBYWFgbICeM1mGWiKp93lYYQojrMuZxjx59TzyfnAs41Vxs3KtF4GYAXAvgQgO9DEUDy6qPs1H7QarUwOzs7FhMtIxo0Uox30DgD/zlWrKO6wH1EmL46PT2drGdBkrG2thbTPmdnZ6OMWa0W2RhAQTRYXluPp/LQaDRQq9WicWTb3W43TjpmFlcVJDbMDgkhDLhiKEcCu6XCK5VKXNXw3Jubm2i1Wrh06VKMWUlJr+oO4XjynCwV7mMBgN0sFyUEPD/7yViLVDVOvcfewPC+83glFmpsFX6FzUnOF/xSI65GOvX8qXH3xMITpTJSoYRB1QpPNLzLJKV8qEE8TGKhhF0Nf0ph0K9hZCClWvgvJRdqyLwrZBxioYRHV/2qWuj9poLonx/tg6/GCSDeI621k1rte9VBy3x3Oh1sbm4miXpK9dBYLFUK9PlS6Ljp/kRMbec7sby8HK8nteDg/MLjSQy42KAiqtfBd4/HklzNzMzE4oWTk5NR9alWqwPn90qaf2ZV1bjaUJfP9YRxsk56AH6p/3XiwBdi1M3xL7BCJyhPLjwjV9mSRICTjqaw8hgSAo1TULZNuW9qaipuh87/7+zsoNFoJPvBL5IbjsXNN9+MbrcbJ5CLFy/GSZCrJE6OurqZnp4ecBFRJWKWiK9rof1U/zSr/bFgVggBq6urcZWlcRIp1UKj+tkHrcbppf6ylRrvJ699nGqcvK9qJHmd9GkfVjVOTwY8iVC1Q7+fxGqcw9whnmAoUfBkIKVWpFQLtqc/+1gLJRZetUhdj1e9ylQLVbJSz09KcdBYCyoGGlDs5yYdt5RqQcJ6GNU4UynlOh6qWlB14FYCzWYzkv6U+uLJPgt2cZ7TWA9f40P7wDmhVqtFxYTEhQseVSh5j1LPKu2EJ5knybifFNJzmBgn6+R+JGIyQgifNeK4O1Hsh3ILgB6KmuyvMLMzAH4DxSZtDwD41hDCav+YH0GhnnQB/GAI4a2JpvdA3RjDPlNGNFLBnN1uUXKbKZ2cuBj0yMkEwJ7YDRa9ouFl5boQQmTzdIsoYWGMRa1WlNLd3NyM5+akpCt0EpvTp0/Hl63RaGBjYwOVSiWu3Lli0NUBr4cTydLSUozaXltbixOJGjWzwaJZ9KfSHQIULywDMKn+aIaGPB97VlpUVXq93kD6qVcMdBLxBoZ95P3jROrJSWq1w+NVudDVplcGysiFuiF4bl+NU9vSmAtVPZSgpDJVroVqnPqulAVelqkWnlikFBFPVI6iGqfeV1+NU8fBqx5XWo2TqeU6P4wTK6HBrExB5cJDq3GWxUqwDxqEyf0+2u02VlZW9rgI9ZnQPnDhom5fFuQbRnB0bpqbm9szv3OOARDj6DzJ0fuuqoh/Bk6aYT9JpOewMO5eJ8Q0gG9Bkeo6Ch0A/98Qwl+Z2QKA95nZ2wB8N4A/DiHca2YvQ+GaeamZPQ1FFbLPAXAbgD8ys6eEEEp9Ir1eUVSlXq9jfn5+aJyGVyP2dLYfm2BmcfWtxnl6ejpZHwPAwIpZVwgkBLp6O3Nm79DprqF8UTgZ+El5cXExypXT09PY3NzEpUuX9qzY2QYwqLiQFJ06dSruWdJoNHDhwoWB4zkxckzYDlAEgVL9oMrAWI3UHiRsQ1ULrlQ40ZAU+boWZf5pTyyupBqnXyH6WI1xiYVmc3iC4FWLFLEYFmsxTLVIKSG+z/r8HyWxUHLg75WSCU8QvGqRIhYp98pJqMbJ755YqGrhpXwdM3UHaDVOHr/fapxUJzmPbW5ulmaY6P2gYsHvnU6R+tpoNGIGXIogaVA3iQUXHoyh4sIhpQzzGdFAVp3HOTdyfpmYmIhuKsal6HPD+UXj0XhPPdE4abiRXSeX3Z9+1sz+FMCPjTjuAvr7o4QQNs3sYyhqcDwXwLP7H3stgLcDeGn/728MIWwDuN/MPoUirfbPh5wD09PTWFtbA1CQhVFEI/VwaaoXJxGddLTGP6U+ANHFoAVm+PJqcBRjJ9g3uhKmp6dj7EQIYWBFX6lU4vFzc3PY3t6OMRyXLl1CtVrFysoKGo1GfImY5aErJPYjhICzZ89GF87Kygq2trYA7FYm5eTKMdKVpU6kXOlfvnx5oC6FkhP2w8uv7BsVDzXuXnHwk7quUDkJcwLS41P+YS/n01Br2qmSAjXOZeSC5/IEw5MBr1J41WGYapHKFFFS4gmLJxYpUjEuufBf3i2iLgxVK8pUC084PDEZpYSoK8M/E6NcIim3Ct8PTuxlLpGUK+EwqnFqeru6VMapxsk+qOpgVsRrUMnTZ4TQseU1sK4Fi2a12+0YK6HxFjoveNVCs/JYd0ff69Q7zfvAa1D1SBdsVC743qsLimXCSTjUJVz2LJ903JBEw8y+QH6toFA4FvZzEjO7G8AzUdTiuLlPQhBCuGC7NTluB/AXctjD/b/5tl6EooAY7rjjjvh3PowpMuEnYJX/+XLzMxMTE0nlgmmrvq4GsGt0KPP54zn5NBqNSEpUteDLs7i4GCerM2fOoFKpxNQuZpho4CmP5UtmZlFmrFSKVFoSge3tbTz44INxVcGXmP0gkdK9Q7hPC192ulToBhrmyiCx8BNoSvVQA6iGR40I3Q9euUlJyH7FqEbAFz7T4mHjEAuOeSpt1LtWUqRCP+eJBfuiriKvXqgBUwVDSUVKuUhhGLFQUqEqgDd2XrXQIF5PNIaRClUZ1JClVIsUsfCqi1dSSCr4THF8dGz985Nyp5RV4/QuAPbFuyJ8NU4eP4pYqFEnwaBLlPODL4Tn1VSen4sPxlFxbvGkQMdCA2oZa8GgdxbT0zbUncLrUOXF1w6i29grQPpMcj6Zn59HpVLEmbBdnWt5Xp3nrwWCQVxLfR0X47hO/qP83EE/rmLcE5jZPIo66T8UQtgYMohjbV0bQngVii1p8cxnPjMABcPe3t7G7Owstre398RMqCHh7/oAqnHUYxuNRowz0BcXQJx0uAqgW4PqAotV8f9UErwPUWMclpaWYqGvXq+HixcvYnt7OyoAqhawHV/y/Lbbbotpq5cvX45qCQ20GiOd5Lk1/Pz8fHzRmZ5GA69GlNDrqFQqkZxUKpVIzhgN7mM1Ui4RtgMgEgMteuXdD/Kc7TGONN4HrcZZplooKRgWa5FSLcpiLPYTa1GmWug1XKlqkYqHSJEK785QV4J3oQxztaTcK/pz2WrUk0rvVmE7Si7Knh9vVFW1UDedd6ulVAtVHGjYq9W91ThT6om2oQWzNPiRWwiwH8NUC6auMhBUXSpeSUy5hqh6kOQAhWqxsrKypw+e4Gi8CINACa007F1D/hoqlcqeeV0VkO3t7ZjGz/G8llQM4kZ2nXzlQRs3swkUJOPXQgi/1f/z42Z2a1/NuBXAxf7f97N1LdtHo9HA5OQktra2oqyfQkpKJhgroMx4fX09RlQDiBPG3NzcwCoB2I1ZMLOB3UdpeLkCBhCL0PiJCAAuXrw4ELzJPVFqtVp8mfnimln0p87MzESl5TOf+UyMvWCmCCcXAHHC1ImUbW5vb8dqol4C5kqBqgMnI22DqzNOIGUVPb18ykkN2PXHpupapNwqusKlIaDaoZuUeYKSeg74NyUCqcwOdYl4guHVi5Rqwf/7rJOyDJGU4rJf5aKMYHhy5kmBkvAyUuEJwjBXiCf2XnVQt0qZcqFfKbeKKiqe8JUpX6rEpKpxeleEfwZVzfHVOPlMlqkOnuDweMZbhBBiTQmfneENu5ITul6pjDKA0pPX1PvILJP5+fmovjBeI1XRU+8H5xam0Cr84oELAs5NvPf+Hija7TYmJibiOz49PR37os/xtYobkmiY2b8a9v8Qws+UHGcA/iuAj7nPvBnAd6HYoOW7APyu/P0NZvYzKIJBnwzg3cPOXakUm3SdO3cuxhvQ+HsoY/eTMuV0vnQ66fPhX1xcjMqBbsVOspPanIsTIM85NTWFc+fOod1uR6WhXq/HQEyVCzk58oXlRHT27NmB7dvX19dj7jq/tA2d4LkiIQGiK0QnsLKJUFeGXFlw/BuNxp49RFLEwgdpVSqV6AoaVo3Tr7TGUS08Geg/qwP3PaVaeLfIQWIthqkWw9wh3hWSIhZKLsowLrFIfflYC1UmyjJElFh4JUTJwDDVgscNIxaenHiiy2M5dr6uhfZLDSrJPo0T79F+qnFqXQveb1bjTKkWeg10p7BEN0moVuT0yom2wWtQtynfK1bjVMVA3yX2nS4R7UOr1YqB6l4N5f2gS0jjRRR8t30feB0cS41V8eC8zEw+xm/UarXYF3WrXcu4YRUNFDEZX4iCCADAPwTwTgAPjTjuSwF8J4APWbGdLAD8KAqC8SYzeyGAB1FksSCE8BEzexOAj6Jw0bw4DMk4IZQQUD5TP6mPz6ABJjSiWR9aRm7TL8pzsUQ2sBsMypUKV/u6olhYWIjuj+npaSwvL8cJiLX7WStDJ0v2YX5+Pm6HPjs7i0ajgZWVlahYUDkJYXdLZE7w6hMGigJhm5ub2N7exurqaoy10JQ9khNdhXIyYd90czS6M7xR95M6v3MS1VgLNcJ+de5X2fz/lVTj5FiNUi3K4i28y6QsMyTlFtE2U66WFLEYRS6UVPB7mWKRcluUxVqMq1qkXC2pWAv/fZhqAQzK53rclVTj9KoFFyZ0J+h9KXPtMc6A7zhQGMOyapx6LSnVgpI/Yy1S9TU8weG7PTU1FRdA3NuH75QnODqevAaqFqqiciy8a8crJxwDX6CQ85K+J3pflaT5FGJC+89ME698aJB+Svm4VnEtuXrGxThE4xyALwghbAKAmf0EgP8WQhi6/3wI4U+RjrsASnZ+DSG8HMDLx+gTPx9X9fPz89jc3MTU1FSMmQD25r53u91osIDdBxrYVSBOnz4dz7G5uYmVlZUo5ft6FP0xQaVSRJIvLS1hdnY2Thi6h4i+wFQ5+DPVCvbn5ptvRr1ex9ra2kApX35VKpU4EVCiNTMsLCwMvIh0Ae3s7ODixYsDBk+VD46XBqvRFaXX4V0ZvA88P1ULdYfw+pkip0FnZROyEgtKpGXVOP2q0z8jOuENUy3GIRZKHFLZIqpseDfKOK6QKyEW6kIqIwDeDeIVgnFUi9SXb0vdF/tRLfRcKXcInwmO3WFV4/QGWa/FqxY8vtNJV+P0igOJBdNGq9VqfAZbrVbc44iGVNvgGPhqnCTbfK+VqGsbeg0kJZr+ylgLfa/1eI6FkiK/y7Tuqqxj4ckRF2ApYqHvlI6l3k/eP31+rsfV//V4TeMQjbsAaODDDopiW1cdXH1vb2/j9OnT8SHXB5k+Un7p76mVkrpHWO5bpUK6S6h0qKuGNTIuXboU9yDR2AWeX2VpzRCpVCpotVowMzz66KMxWMvMohHjNQG7K4P5+fn4YtMlEkKI6ae6glfXkRoOrkqmpqZiECcrBw4LfuPxvA6NJ+EkrPugpGRkNYicRCjdqvqhE9k45KJMtdC+DHOF6HdPTHwKqrapk6Xv71GrFimCoeqCJwOeCOj/ysgF2/axFuoK8apF6nq07ym3Cle7Si70PdC2UuqJr8bp7xvH24+XqhYkGQBiEKc3qDrXeNXDB4J6FyPb0PHQsWCGByticl5SJdC7M/RequrB+UWzv1KGnfcjpdwQOzs78Vp0LNkG+0BykXoGfJaV3k8fezMOVMm+VnEju05+FcC7zey3UWSBfCOKip9XHXQ/sB4DUNS5YL0JANGwesOkLoqdnZ34O8tuM3CKwaVcjSwtLcWJjz5Cfl9ZWYl9YZVN+mzpttFdDTXNrdVqxaJXXG3w3PwM+8uceUai0/3DHRK5yuMkQPWDEymAgSI7lE1VueCkrGPHsVSyxZ9pYDWHX1UHP/aeYKhMymNTGSJl5EKJAo/bTzVOJRZeqVCSk3KvjFJElEyoCrQfcqHuBE8yyhQG77YapVp4QqL3x7fpSYl3q4wiF96VoCmoqmZ5RZJIERQlF6qGaTVOjrdXHXg8XRLqUtFNBz3R1vHSWAetxpmKU9B+sL96PJUDvhNajVOfI46FEhzWtNB9RJga72OwvPLAMdBt4fl+qbtSibM+J7yHZTtd83p0bmIbOp+M4wrpdIqyAN1ud2wyci3ghiQaIYSXm9kfAPi7/T+9IITw/qPt1ngIIWB+fj5merBSJYmGxl2orKgvKdMvta4EP1OpVOKkc+7cOUxPT2N1dTUGiXGC4PHK7NWP2u12Y7DWuXPn8Mgjj8Qt4DVoLGVEOeF0u11MTU3hzJkzWF5eRgghljr3K2uFGgJGoPP6eF5NX02RAq9acHLodotAUk6mPuDLEws1Wpy02f+UW2YUsQjh8KpxptSKYarFMDfLcROLVFxESiFIEQQ9flishXclsG3tR+p6tM/q0vOqhboSvUHW58cTpYNU41TVgllgExMT8RguNka9C+oSUWKhu46mFDx/X1hwa3Z2NqqfzWYTGxsbexQHJUiaeqrpo1QjSfpHKSdUXrTYYQi7OyOX9YH3P+VOIVLqDdvQAPOyIH6Fvk9KLPjzta5mENfLdSjGUTQAYBbARgjhl83svJk9MYRw/1F2bFzQqO/s7ODMmTMD6a304erkr6teYHeLd75MJBe6uqBi8fjjj8eX32y3gAwNNV8eqh9UH6gwVCoVfPKTn4xuFHWrML6BEy6PZX0Lptk++uijMcOGq35dvXljw/gN/r9er8fJmETMr7JSRqtSqQz4lVOxEt6AeiPEPqj8fBDVwpMB71bxZCXlFvGkJOUe8bEWSsRUCSlzi/Ca9btHyhUyzC2iZM1niKRUC084PDEpIy5euk6pFqkJMUUuylQLVbJS911X2hqrsZ9qnDo+R1GNE0B8h7WmRFkbfK+pWpDg6M6lqWBSdQ1xDOfn56NysLOzg/X19T01b/SeaDAsFz5KEDWGTPugqoV3DaVAdVTfWX0mlGCUgX3n8SQT+tyNQ06uNdywrhMz+3EUmSefDeCXAUwAeD2KrJKrjq2tLUxNTWFzczO+TI1GI5a0VePAh5cvEn8mOJGcO3cuPsSsbaFFo4DBXQBVOl1aWsK5c+ewvLw8ULGPKwPdi4QTJV8+VgYNIeD06dOxroWfAEh0eF1qMHjdbJPEQvvg/ctsA9jdYI7t8dzq01X51k+oahgJTny8Bp0IddVYRi5SRCBFFEaRi3FUCyUU2maKYCh5PUpykSIHZWSgTL0oIxWpNnXF7wlKGblQRcT3ye8jouOZen5UdeCKm31RN53eo5Q7g+NAg67kQsvXlz3HSnC0roWZRdUjlaniFRxVPqigcE6h8pG6Dq86cI6gW4Hpp/pee7eMkkTdg4TQuJGUcqHHcxw9SNbKgkF10TMKXPSQnKiadaPghiQaKGIyngngrwAghPCoFZukXXWYGTY3N3HTTTehXq9jdXUVZ86cwebmZpzcGO+gk4myZKZNcaWxsLCAdruNxx9/fGD3Vk4auuMqjTonwHPnzmFlZQWf+MQn4h4kbL/VagHAwIpO60osLCxgdXU1Ftt66KGHoltBr4EvLhUVyr98MVmjgxIwiZHGiXASUELBomUhhD3EIjWhc/xVaudE6/3SKdUCOFnVOIfFWiiZOErVwrstlASkiINXK7hKHJdYpNwrGhg6TLXwbSox0RWrqhYkqKnnh6RA62IoseA75FWLlFuGx2olTAZylqkWOq5abIqKA9VD1p5RYqGLjWp1sJonCQKLVK2vryfJvt53zXJZWFiIxp0uGa8kEkquOAYsJkj4BQsXXKpk8n6yDynwHScxoGrq3TrD3ACc2zSTj58fh5Rcr7hRXSc7IYRgZgEAzCy9helVAB/S7e1tTExMRFJAVwMnoZSB4IutvntmWzCiWtWHWq2G+fl53HTTTfF/wOALx9UFf+fEo+dbWlqKKbh8sRhJzokQ2K1GyHMDGJgEgaLKKPtN2ZarG41DqFQq8btOJKqqqEsllWXCa2A/VLUgOVHFhv1XEpBSLfg3HuOP9/ERSiZ8rMUo1YIGQ90rw9wsqedGSUUZseCzye/DFAtPLJQApuIjlAh4V0aKXKghH0e1SJEL/s7/pZSU1D4i46oWPJ7GDdhNS08ZdW1DYyVILvhM+8qwnuR41UP3AKHqkSrTrcfrveCxrEuhu5b6NvRd8rESCwsL8Z3XwHQ/Fv554dzg91ryrh0PJThlRbPUDa3khP3gfEL37zCo+sLnhWN4o+OGdZ2gKK71XwCcMrPvBfDPAfzS0XZrPDD4an19HadPn8by8jJWV1dx+vTpGAyl7hJ9MfjS+6ApNQCUOqempnDnnXei1+vhvvvui5U5ydi1siiA+MJxVdPtdjE7Oxs3OaMvlkoFy4dTbWAbOgH2er2oYKyurqLX68VS517e5/HsBycORrGTkGisRSqqnu341a0ac1UtlAwMIxZKDDTLxMdFeMKUcoeMo1roKtYTC+8KuRJiUUYuUq6QFLFQA+7dB9494l0e/j75uI0y1UL7rdA+e3eIr8apbrwy1UL7QlLANvhMdbv7q8apxILPMGtSeHeId2WoUa7VagPuRSqC/l3w18BYCyqTPJ4ZIjrn6DudUi1ILBgEmor38O4UVU4UWrdHSYE+j/4+elCZZD+UHPlncxSx4KIs5ZLZL7Qf1ytuOKJhxR39DQBPBbCBIk7jx0IIbzuGvo0EiQENpllRpvb8+fNx/xO/OgV21QKydJ0UuLLgJkIkMw8//DC2trYieSERIWnh+ZWckDhwAl5eXo4rJJ6LBpHH8hj6dHUSZQoriQ77zRePberKlYpOt7tbalwDKNW4En7FzbZ1DxONa0iNsULJBcfeE4RxsjmUMJyUapz8OUUsUuRClQNPBvajWqRcLery8ARlFLlQI+JX6mqcVaXz6o+2pe34IE4aGD5LPsaBbSjx8qoDyU1ZfIFei1ct2AbPr7EW6tbzbiaqFhrroAuVFLnQd1FjNebm5qKiqjszl6kWJJ8MMmesCOFjsHTR4WNF+Jyl5lO/8aGOhT5Lw8B3T9VkvYYrwfVOMm5IRaPvMvmdEMKzAJwIcqHodrvR/7m5uYmJid2aEvTxqWSpRIPG3ftYp6amcNdddwEoMjxY61+leWBvaeNKpSh6df78eUxMTOChhx6KhlyDOdmOGiZO4owPCSFgenoa9Xp9YOdTv8LhRMKJ28zi7ql8wVk0i26N1KQOYI/x4vH0TWtdCyUovi+E/t/XtfCxFmXkQsfcqxbqY07FWuhkq6vTYcrFKHLBMR6lXKhrqcwdohNvmWqhny2LufDuFe8W0TicsmvRfvvjNf2UY5Oqa5FyJShBUHKi5a29S0SvRzO/VPlg1pJX8fgcK8Hh8fyZzxFjLfRZ5nWkYiVY+IouEcZaaFab9kHVIyofzCDrdDoDpcJVBdQ+qCI5Pz+/x8CrcsHx1PuqffDbshPetehdQ1Rty2I1CK8O8nmh6rVf3AjKRRmux+seR7v6CzP7whDCe468N/tEr9fD7OxsXFXccsstWF9fx+rqKs6dO4fJyckBt4a+iMBuyXESFk6sn/nMZ7C1tRXzyOkmYa66khJg19BXKhU88sgj0afK/5EomFlcFXmJ3MxisawQApaXl+MkptK097tzUqZhZblyTqJM4y2bDNVwcoWn1Tg9GShzIXCC0WM8sRimWqRiLa6FapxeWVBj6eV6TyJS2SLDSIUnLBr4p+2NSyxSbhVPLMqIqSoOSix8NU4STT6TakBSqgVX7DRQfIa16JaSE1UceDxVC77bzWYzxiB5twrHSsucU5FkkDV3cVaXSsoto32Ynp6OgZgk/Cym5w2yd3OS1Hjj3m4Xe5GoW5FqAecazktUfTw4vygp573gOIzj1lBFlfMjFdVRpMRD74U+XzcqbjhFo4+vBPD9ZvYAgDqK/UtCCOHzj7Jj4yCEECdJGqGpqSm0221sbGzEl82vfPRG6oqb1UXVNwkU0uPMzAyWlpZw6tQprK2txdTVEMJAWWGVcdWQcxLiPirq/qBPlpMQMJglosZD92uoVCpxh0eeN6XgUKFgG5xU1MjTEKh86w11avy9K0OP9xkrKbeFxk54t8cw94onJv5LyYSqLvshF/pzmTvEuy5SZKDMhaGkw8daqEKQcq8owRhXtfCuBPXRq5Q+SvXSa9LsBHXTaYaIPodehdENCCcmJuLxJLxlK+3U8SQXVBpIDGiUdUx8rAQzRCYnJ+Pxq6urA7ESKaLOcaBLhf3R9zrl2tHnhPeBu68qtAw/x5LvsyovlUolKiYe+l6m7oXez2HQd03fDf/8jANP9DIK3HCuEzO7K4TwIICvPcb+7AshFNUxZ2Zm4sRw/vz5WDFTJUmdOM0sGnb6aDkRcBLSyW92dhZ33HEHHnjgAXzyk5+MqwLKiprpoWoHJ2C+VNzkjFUHgV0VgccSnIi4wuDKRQPe/ASkqyxvXAhOOnTnqJH3RtqD/0+pFt6FkSIW3hWSUiuutWqcajBGxVh4UpBSQlLuEK4Stb2yCcn3WfuhBENdZDrWCt8XH2uhPviyapxqiNgHukLYBxp2H1Ttn2NVPahaMJBT9/DwqocnWHSncA+RbreLzc3NATdjGbHQa2Cpb2DXjaHprxrnoK4MvQZv3DVrjQsdvvuqerAPKejCQUmBqqhlcRoKLoToZtY+7EdxSLlBrkdjeli4HsdmmKLxOyh2bf2Mmf1mCOGbjqlP+0K9XsfZs2dRrVYjaaCqQUOqBoiTh1bFVKZPfygL46ytraFer+P973//wPbHOqFrrAQlU2BQGeHkwcmUxELlT5Uc6V6hbKyTD4mOn0jYf+0bDbX2QUmBdy148DyeDHhi4TNEPLFIqRYp94jej1SshcZ+pNwi7LN+90i5QoC9QbDDXBfDVAvvHlFiwu/DlJBUhgj/l5rg9X57V4LGWvB4T9IUnqCQVJA0q0Ko71eZakFiQuNO0sx3wZenVnLgsytonPlesKCdPiMa7+GzVLQaJ/u/vLwc31P2gWPsXUN0pzDeYWdnJ+5P5N2zHEtVHVLpo1REU8oJFzMcg0qlMpRclKmZ2sYoqKtVn6txiIlCXTo3shvkIDjM8TKzZwP4WRSFNpdDCF/R//tzALwCQBXAq0MI947R1lYIYd7M7gbwMQCfQOHhqKPYmuQTZccOIxp6tZ81qhNXA1QTms0mpqamsLW1ha2tLdx6660AEJUKL/kx5oFtaMzD9PQ0brnlFly+fBkXLlyIBXLUmPnJFNjdd4WuldXV1QEDqb5Znld9s4yEJ4kgwaAErdeRkoH1WtRgaxCqLxc+TLlQcuDLfHsyUKYyjKtaKKHQ9lIEw5PGKyEX/muYaqGGU8mArlK9e8O3kWrfExUlF0pKUtejhEX7oeqDPp86jtqOl9GVHDBWgs+kkkp9lj3B0TgJukQYY+CJgbahBI3EgsS92WzGeIlh7wKvg64MJTis6Mn3SlUHYG9dC93LhEro5ubmnk3SlOAoSeT59R6SJHmS5ceSLlvOTx4ajOoJjie/ZeBiq+xe7NfopdzTGePjMF0nZnYKwM8DeE4I4UEzu6n/9yqAVwL4ewAeBvAeM3tzCOGj+2j+0yGEZ/Tb+z4APwrgu8o+PIxohJKfTwz44q+vr+Ps2bMAEAO/5ufno/tEDaNO3FQUeGO5uvj4xz8e1QsyfK7o1A/K4zl5b2xs4NKlS1H+5AvLydlsd38UJTicsC5fvjygtGhNAvVpqnTO4/ml+fM6ofuVEqGuJY2NKCMDSgA8qfBulbIU1HFiLbTPh6VaeFKh9yClOihh8GrFsFiLYa4Wr3Z41UIVFn89vj1PKjR9kOOmGSJqCLUNEgL+DOz64xmHNK5qwRU773O73Y6ZU7yPqhjpNfD9Updku93G5cuXS1ULdcswWJvvGN2jdGd4oqpjoa7O2dnZWHOGCxluBeDHAcAA0SQx0nvY6/UG4qi63W4kb8Bu+invY9keIlywcH6guqTP6KgUUs2243uvY7lfI8fjs3pxeDhEkvYdAH4rFCEQCCFc7P/9iwB8KoRwHwCY2RsBPBfAANEwsycCeAMKnvCWIedZBLA6rCPDiMbTzWwDhbIx0/8Z2A0GXRzW8HGAhn57exv1eh0TExOxmh8nMQDJSYqTjs8/99I8J4GFhQWcPXs2yrU6gXvj7idknVTn5+djaXANQvW+YZVxvRFUI6JBpKpapIwzwb+p2yNFCjwB8LEWw1QL7cu1UI1TV9OeQKhSkArATLXlV+hetVC3Skq18O4cT05omFRV8yRQ29LnR9NOVXHgin+U4uBVC/aD74I+P6l+6BjSqJNcsDpvKoDSE5xqtYq5ubmB3VNJbMqqcWq8BxUDppZzHJlW7nck5v3wRI+xHnoP9b3W8eR18HqpnJSlgfo4LH2+Gd9RRkx8O0qwdByvxLDtx52SMR5G3I9zZvZe+f1VIYRXlXz2KQAmzOztABYAvCKE8DoAtwN4SD73MIAvThz/CgC/EEJ4nZm92P3vSWb2gX67syXHR5QSjRDCiX+CSARo/G+66aaoSoQQBnZD5WTB31UO1rx8TkJcXdCl0W63ceHChYGVDQ2Kz1BR2bpSqQxMdhcvXoyTMbDrWwUGHzA1Xqo4UGlJ+WQ5EZURCyUAKdViv7EWXrUgqdDPpYiFV1muhFiUkYthcRbjxlp41cITPp2waTxGqRb8bIpYeBeO9sGrFjpuV1qNk0XodLx1nFS14PtQqezuIaJuAHVJqhtBj+eOyHxeNFbDG3WOq8aJzM3NxVgNBmGyrkXKleGzZFgwiwQrVc3Txxh4cuWrcXKx4Ym+qh6qIHER5KFtdDpF0aterzdwH8uOVWh9D5IBPp/7hVctMo4OZYqmYDmEcM+YzdUAPAvAVwOYAfDnZvYXGAyLIFIT7ZcCYGzmrwL4Sfmfuk6eB+BVAJ4zrCPXLLrdLiYnJ6OrgoW6ms3mQDqXl36B3aAnXWlwIjh16hRmZ2fRbDaxtraGy5cv79m5VI0CsBvRTb+uBnjRl6qGmdBJlRMIJ4der7cnddavFkeRCz2mTLUYFWvBzw2LsSjLOhkVa1FGMFLQF7CMWKTIhZI2TwY8KfAEwxML/e7bTBXeUsJZdj1eVdF2aFBVyUplRXjlS2sysB8AojtA70tKtWAfuNpmP/hMegWO8C4VqhYMxuS7wP15UrEW6grg8exHpVKJNS1Sq329Ds3w0GqcAGKWybBqnLpgYKyFotPpxAwyf7xXb3wlT31P/Vyl95OurFGBnLog4H3mWO63roVHVi2OFwcldH3V4Xv7v34dCqViOYRQB1A3s3cCeHr/73fKoXcAeLSk2XHCJt6MYmf3UlzTRKPX62F6ejrKnFtbWzh9+jRqtVr0Z3ojCiC6Trw8zVVXCAGPPfYYGo3GQCoqj1X5VckGJ5ONjY2Yw69uDr/KUdmcLzMnX2aa6OrGy+IpcsHr5edTbhWNjfBfSg68akHSlArg9BLxuMrFKHLBMR+lXKjC4AmAEgYaq3HrWqRcLd7F4tM3NUNklHKRcquQJKhyMU41Ti06RdUB2N0KXO+DtqHXwngNEhSz3RgiTYfmPVPlQsmREhSS5NXV1QEi6gmOkgvdPZXEnYHZqWqcnlwwXoPkgC5SKg9UPb2CowRjfn5+QD2gMVcFp91uD9xnzfQpIxdK2H0f6BIZN8uDMRtewdmPsfLHZ1xdHJRohBBeiSLIEwBgZr8L4OfMrAZgEoV74/8C8HEAT+7HYDwC4NtQxHN4vKv/v9cDeP6QU38ZgE8P69uREQ0zew2AbwBwMYTwuf2/nUGxd8rdAB4A8K0hhNX+/34EwAsBdAH8YAjhraPOQTfJzMwM2u026vU6AODs2bOxkJVfvfNFomECdn3bjEjnSknVB0rG09PTe+IUaMx9gR4AA8bCzAYKG/GL7hvNEFEywD6mrt+7Mg5SjVOJRSpwM5XKqsf48VAF6aCqRYpYqPFOKQxKENSAp1QL/V9ZrEWKWKgh09/52dT1aN+1LyQUKWKhsQEpN0BKtaBh8qSS4+3b4HWQFCix0PLWvFd0J6SMui/zzSBKKg9679WF5Mt8sxon3wlf0VPHtVKpDCg2U1NTWFpaimPQaDSwuro64KokeC0cQ6om3rgrOaELwSug6mpNuTWoIuk7wntNYkHVZBRIbDqdTlS56AI6iPKg9zTj6uMwXVQhhI+Z2VsAfBBAD0Ua64f75/kBAG9Fkd76mhDCRxJNvATAG8zsJQB+0/2PMRoGYAfA9wzry1EqGr8C4OcAvE7+9jIAfxxCuNfMXtb//aVm9jQUzOlzANwG4I/M7CkhhC6GIISAra2tWPOC6W+tVmvAoKvvli8UiQBXN6oY6OTOyWNpaQlzc3NYWVkZiOkgUfD+YWB3lUQ5lQbCB3D6fVDUSAO7Rpd98q6McapxpgiGftarFT7WwreZUkPK3CH7IRf6c5k7RFfAGoswbqxFyiWScrXoZ1MEYxzVQtvi8dovHZeUauEJio8fouHr9XYzRPReeHKh8RqaOsmCWbzvqX5o0TASb37RnUIlT9vwY6FBqIuLizGtu9PpDMRKjHLLTExM4PTp07EoXqfTiXsTpYJJUy4qDQLlvaCaqO+L7wPHgG2l5ibdqE3VVI21IbkrQ5mCNCpttQw6B/J6Mk4WDpP0hRB+CsBPJf7++wB+f8Sx9wP4EvnTvf2/P4Ai5mNsHBnRCCG804rCHornAnh2/+fXAng7gJf2//7GEMI2gPvN7FMoUnD+fNR5tra2ACDuecJ0NvWn+iAznQgpCfN3Tqhc4fH4jY0NXLx4MUaS87MA4oQGIE5C/J/GOXDvFF/N0weqKvQzXrUoi4ugwuCVBh9P4TNEUqrFuMRC3TkHIRZqtFNxFqNiLZRMjFIthsVapEiFbyN1PdrnMneIrhz1vntC6VUPrtbZB5Xw1YjpM0m3nqZM0rjzmfUbcmk/eB1KLmZnZ+PvdMfU6/WBAGmu+nUsmG46Pz8flQuen3uA8Hll7BQNsl4DSc38/DwAxAwTBoLyWSbUxamBoBqzQEJAF6mOpZJJHq9bACi8K4X3Ve/jOLESuijodDpRraBLd1wjpO+nqixZuTj5uB7J33HHaNwcQrgAACGEC9YvIIIi3eYv5HMP9/+2B2b2IgAvAoCbbropukw4GVLy5UvuV/T9c8fvutLgpDQ/P48QQty+WSPB2V5q9a0R/RoMmjLkvg+qWmh/1RVS5sIYFmvhVYuUe6TMLeKVkJTakhrTkvsWv6cIhn73X+NkiHj3iBKTVKxFSglJ1bUok5WHkQsSVVVO1M3lx8hfp7oTaJx4T8apxkl3SrVapG9WKrv72vjVuvYlFavBuhYTExORKKsC5xUHH68yOTkZNyI0M7Rareie9G34eBG6RTTuqt1u79mDhNfhnx/dQsCv/rWuBQmS9sHMojuoTM7meHq3jlddRkEXKvo8aMwP+zYurkdjdSPgMF0nJwknJRh03HQbhCJn+FUA8Nmf/dmBky9dKJzMt7e34wTrfbx+ZaATlFkRzMlJlRNJ6nOcvFSJYMaL7japfeD5E9e1R2HwqW6jXBcaNzFKtfBxIN7V4gM5/c96HfshF/5rmGrh1QSvMGhWh8YulMVa+DbVIHqCUkYu9N7zPGpU2ZaZDdwTTyi1n1rXQmV1rpC9W49teLcMV+vsi4/ZUXKobegYaiXMarUaXZGNRiMS+JRqoH1gLBNVFSoevBZd8Xv3kpbqZrwGFUW+U+pi8iTSb9JGcDdlDbbWZ1TvfWrnVB03unnYnp8TRtW1ILlhG+yHPr/jgn3q9XoHcqVknDxcj6rTcRONx83s1r6acSsAVirbT7pNBF9uTqaUiDmp68rL5+cTVA28IdcvyrecfLV+gBoDn5FB6OpTXSo8n5IKVRYOEmtRVo3Tf+nxKWLhXSO8Dv3uMYpY+DiLlOqghMGrFcNiLYa5Wrza4VWLVJwFr8MTizLVQolFqq6Fqh5qlNlWpVKJ90ZXySl3BvtA1UKrcfLeazVO3jOv3NCgUrXgsay2q/EB+s7pNTDWg20xU4pKoD67BK+3UqnEvUOq1SIgk1klVCqVZCk47izYxedF32seT7LOd0/HkvegjBxoUDiNOceSBFgzfMqgWWe9Xm/AFTeO6uGhCg7HI+P6QFY0rhxvRlEP/d7+99+Vv7/BzH4GRTDokwG8e1Rj9D9yMtja2or+TE72GuhI9k+joL5uTmhsF0AkGJyIQiiCT0lMUrEPKZ+7/k1JyTh1LVKxFqNUCxo7r+aUuVpSxEJJRRmx0GssIxbeWKfUBf3ycRLePZJSPlSFSLWlqoUSGU8uVG3wJMj76JVceJKmY6AER1fLPJ6qg95jfX5IhJQcUPkguaArhPEN2gavM0UMZmdn47OvGVopgqOuQSoODAg1M6ytrcVgbO9K0ONJKNQ1AyCmr3IHVX3+Un3wriWgUAo0UHsYUdNgWgXfE8Za8P76Z2uceAvOJ+yHdw+OC5IkVbOux1VvRnad7Btm9usoAj/PmdnDAH4cBcF4k5m9EMCDAL4FAEIIHzGzN6Gotd4B8OIwIuMEKF5AFuzS3Hh9kZVsqAtEg0F1guWk7H3rGxsbA1tZq0HWyVlXx/o/kgJVT4bFRXiCoZ8Zplqk2twPuRilWnD8+L2MXKive1hchCcAPqjTf94rI2WxFkowlKCMIhdqEFX9YBv+vqoLwBuzSmU33kL3uFEVS9UuQskFXSGspklyoaoF3RE0SEpQuNqmcaeBZDVMkhRV/PTeaTAo1QOqH/V6HfV6PT7XwO5eGvoMULFYWFiILg3GN6yurg7UxaCLg9fAFb8SHJ2IWc5fM7EI3k8N7i5TDzQYlGPJsdd7MQrtdhvVajVez7A4n1HodrsDbrxMLm4MZKKxD4QQvr3kX19d8vmXA3j5fs5BYzw1NRUlV044k5OT0SD4IEwlA2p4dZXN9nRjttQqya9kVSUpIwXed58iAz6FVd0yqe9lSshxEYtRrgs14N6VMUy1SBEWbTN1vMZJjKNa6CqV3zXtUJ+jYcRCVQutiWBmAynNHp5YaanuarUaA4tJqPncavsan0CXAo0sn0cNxPTBpD7egzEWzN6qVqvY2NiI7fjjlVRQLWCNDo0XWVtbA7AbK6HPnY59rbZbUZTBkFwYUPXw7kk+D7wOjl8KqrxoH7SNcYgFiZHeC5KkceEVUIJ9zwTjxsL1eL9PSjDogdDr9bC5uYmZmRlMTEwMBHoxSEsNcpnqoBOOxkvQOPhJXc+vREHdF1rbwpOB1HE+NmTcWAs1gCkZ/0rIRRnBGEYulCgoGUiRglSshbo1/N+UFJSpFmXkIkUM/PEMXuS9VWKhEr6X0XXnTxoHJYcca0rwOj5UHXxdixBCfI7Vvw9gz/GqenDFT8POWAutYEnlQ4kfx0F3LuX7xee/1WrBrKjjos+AujPm5uZipguveXV1deAZrtVq8Vr03tOVoiSN76SvxklouinP78E2arVafA95LbwOTR8uA8eN7yt/5vWT7IwCj9V7knpuM248ZNfJCUQIAevr69je3o7SMo28qg2qECjR4P99gR+vMKhx4KrKKww+ENQTC68weDdHqr0yV0hKCaExPEpi4RUG77LwMRAptWFUrEVKaVAioL+X+bq9dK+rdZXh+X8du9QKV8kJDRtlfP1su90eyFJSYqAGna4UBiByfKkW+FgfXpMGkdZqNczNzUV53qzY+TSVOqoqjsZZzMzMYGZmBgsLC9ja2ooZJlQM9PnXlboqFtz5NIQiA2R9fX1gk7TUeNKNVKlUsLi4uMcVQndMSkVS4lqtVrG4mN5EutfbuxOtPr9am2MUtMw3lQqOuW6uNooo+PfxIEGgGdc/MtE4YaBPl5MJfcFqzFOuE2B3vxMfTOkNs5IS1ujwbhA9PhUPoeRlWF2L/VTjJNFIkYpxyIX3+6ZiLFIEo0xhKIuxUGIxbqxFGcGg4uBXf/4avBtAVQv2gcRCg4C1PX9tGmvBcdV7D2DAMOuYKTkgwVBDyBU67zevR8eZ55+ZmcHs7OwAIa3X69E9w+eabWjhLroyuIdHpVLB+vp6JBle9VMSwzEgwVpYWECn04kxI3SJcBsAfX/UFVGr1bC4uLjHKPNaNjY2IlEjCdRx4DWkjHqv14suEX0HlMyOqqjJe9np7BbL6vV6A4T1oMiqRcYoZEXjhMKrEZzUUsachoDg7/5/OiH4IE5NQU25PtRl4WMtxom58Mf5L+8W4XUA+0s/BXaZ8zB3iDe6KTLgXRk+IFINhRIBGjBt09e14HlSE7R3h3jlgK4M9ZfrvVDwWAADGQ008hwrvW96D7z7iEGYjLdQcuGLRelqXQkZdx2l+sDnol6vD2y4x6BBPv90BYQQMDs7CzOLpbYnJiZQr9dj9pRmZymxJsGYm5uL7c3Pz8fCXZubmwNpuHRV0ijrszM/P49qtbpna3UWD9MUWgaTqnJB12gKmr5KtVGvgcePghZC41j69yMj4zhwPZLRa55o0CBzq3iNDleDnkrd08nJux94LBUTrzB4N4hXHbw7ZFiGSCrWooxcsN/AwYmFkopxYy3KVAv9m8YNeGLhSYWuUL1bhP3y0P4rqVCXhJIiGh3NONK2fBwJyQHjHKgQqDH0xEDPr6nQMzMz0Q0CFNuS05jptXBc/Pm1jc3NzYEMEyoyqlqwDap6S0tLA66DtbW1+HlNg/UuMI334B4iQKEKLC8vw8xifIN3DTFehWmvvB985rkt+8TExICSxH7Vars7prIfHt1ud2AbAA0UJangMzkMLD7G61BC648dRjK63W7p85qRcRBcj6T2miYaXLmooWe6G1dXNOjeZ6ykwsdBKEnwpcfV8Kubw7s7RgVzeoKiq8qymAvgyupaqAKQionwsRZKBtSoe0UjFWvhXS0poqIEo2yyVkKkMr437jQS3m1GowwMEhSqFFrXgm4Avf9Ux2iMGMhIY0jjymwLPgfcyVf7QLcIx4CrdJIKqhYs860VNdUdwmvl8TSuc3NzmJ6ejpVyGTNCssRrBHZjDNSlUq1WYzAl62pwLyHGkHC1790ZWhGUIIlfX18fIPRKGDmOIYQYu6HguKmLiqm07L+qOWVot9vx/+yLV7EOioOSDCWLGRnA9aueXdNEA8CAgeFKTVdcKfeIVw08GUili3oFI0UiNFYjlSXi20uRl1SMxZUQCzX8KVLh3RypwE2vaHhSUUZYPLGgceek7l8oVV7UZcN2uOLXQE4qBl618MfzvJpyScWDK3+SBO0LgIH+z8zMRKPIIEqSkkajEQMH+fzxWkiKmFlBdwDVEsZL6AZ/eg+V5C0sLKBSqWBhYSGmX1cqFaytrUUlhs+aVz20GqhmaKyvr+/ZIM2TGx/IWqvVBrJcqtUqVldXBwKV9X6oO4Y/e0PLMuNevdP4G2bnaJZIiqCoa4rjyfmCLqVxoOPgjxmlnAxDJhkZKWSiccKg0i+APa4R7wZJqQeeYPhMDk8QhsVY6ASvhkvbSblD9hPECRysGueoWAtPMLwbIhVrkXK1+GBQKg+6elTZXa9D+0VCQYLBNjlGOr76Yqqbhn2hUaQaUalUBoIGGV+gREeLdOmW6LVaLRKT1dXV6A5h36hgkEzROJNYkOhsbm6iXq/H83NVzr4AGCiWRVcEVYv19fWYNkqlgav2brcbXQp0I9IVMjc3F+tatFotbGxsAMCeIEpeD4NfmfpK5UMRQsDGxgaq1WJvFDWg6opibQ8PJWYMJiU54/dhWUYK1vjQ9yS142qZkafi0ul0Blw3mRRkHBeux2ftmiYa3W4XjUYDwO7N8WRCiUYqM0RJSKrWRVlmSEoBSSkhx00uUm6LsliLFNHQWItRqoW26VULTXMtc4n4fmrBK7o1SAx0nHWFqm3oebl/B6+P5ICKA9vR8ZqYmIgSPAMf2Q8qDVQQKONTNdDV8sTEREz55O6l1WoVW1tb2NraiqoB29DVdgghnvfUqVNRdaDrYmNjA+vr61EJ4XPOz/Ca5+bm0G63cerUKbTbbczMzMT/6+6njENhGxwPqkaLi4sDQaXALinhWAK7ipISWp6vLAWV90TrcrAPSlCGqQZePfHxM+OuDvmO6vmJ63GFmXEykV0nJxDdbhcrKytxYlCFQmMmUnUpfOBm6juJRUq98J/zcRzHSSxSJMBnc6TUCo2P2G+shc8S4eozZRS8S8QTHI130JdMDQilecZH+FgNrvjVZdFsNqN7hamYXLHqip/nn52dRa/Xw/T0dKwKOzExETcI4zEkF1QoeH5mN1DapysEQCwZzr6pwsLjmZVBosMYi/X19ejS6Xa7kYDxenRjsIWFBQBF3MfW1lZMfV1fX49jrbEWJBQsssWKoFRCGo1GvKeXLl1CrVZDo9GI94n3gW6hhYWFPRU1NeOq3W7Ha+M4MralVqvhzJkzI1d0HMcQQuw3jx+nmif7pJN6JhcZJwXX47N3TRONXq+Hra2tAQOshr4s68OrD6k001QchneLqHrhCcZxkgufIULpPuXKKIu14ArU/80rIakMkTLVgi8MiYEqBPqdRg/Y3UJbx4p9Y9Ag5XvGG6jrTLOLlKjoSpuxFt1uN7oieI86naLENQkm7z0JwsTERKwyubCwEPvFuhLNZjMSE582rW2wAubOzg5mZmZw6tSpqHpwczIeT7Ki8R6VSiVuisZ+kCTU63UsLy/HrCm6AjgGjK0AgLm5uUjQFFQtSCqYQaMxEWyPabgpl0oIIaqOej/4TIyz86nGW5jt1glRtWMUwdAgVL0X1+OknnFt43p8Jq95orG5ubnHeKvRUGWiLPvDx1j4WIsUuRgWxLkfYlFGLlRN0O9efVDioMRiWF2LYV+pIFCtbcHzcKLmpK9Bgz4ehMZEAylpAHWXWRIONR5KSObn59HpdDA7O4tmsxlX7apa6OrWx4iw0NOZM2fQbrej4rG6uhpfbgYS65hSoZibm8Pi4iLq9TomJyexuLiIxx9/HPV6PRKCZrMJALHYE9tgjMfk5CROnToV61Ew5qNer8dsET7bWhOD92FiYgK33HILms1mvK/1eh3T09N4/PHH49iaWYz9AAZjNLSuBO/f6urqwPui40jlgSXOGczq30UAMY2W7wmJEe+n/p5Cs9mM7wyVDn32OQ7jgO9hilCMq3xkZBwndC69nnBNE40QQiwa5I28j5Uo2z59v7EWKWKhK1b97uEj1z2pKCMYqi4oYUgFbg5TLcrcLNqmBiB6d4peB6/RKyI0JjSOuiW6WVHTQus7KFGhK4FpniwWNTs7O7CaZXYH26LhoRFjGyQYWiKb25GrG2N7e3tgIzWSCrpqlpaWoixPyb3VaqFer8fgQ44J26RiQrfI4uIiarVaVENWV1cjqfFZFhxvxplMTU3FcuN0m7BceAghBqS22+1oQKlY0E2xtLQ0cB/5vG9ubqJarcbx4PPLe8Z7QRWmDI1GI2bR8Fg+H4wzKVupcfyA3dRVPovq5hoHWvyrTGnLyDjJyIrGCQNXkWWBlz4OI0UmUqqFpveNUi1UvUjBkwv1bas7xLstvCtkVKyFEoaUS8THX+hnU6t+fkYj+DUAU89DQmFWpC4yzoErYXUfqIRNYkADz1Xy4uIiOp0OFhYWYhYCsxl8mW29DgDRDcJVP4tOMSuCxp33U91BvPapqSncdtttUfEIIWBzczMSBRZ78v59EqXJyUnccccdWFlZQbVaxW233YadnR1cuHBhoP8axAnsViSdmpqCmeGOO+4AgBhr0e12cfny5dgPn0JKUlKpVHD27Fmsra1haWkp7j3Cvm5tbUViQpKj10I3TAgB8/Pzkfzw3jHuQ6twMoZG1S9eU9nEqe+rxtzofd0vsjsk41rH9fj8XtNEg4qGZoH44MxRAZ8p1UJJhaoV47hEUsTioLEWngwowfCf8WRC3SycuDVuQ2Mt+MX+AntrB3jDoQGclPS5gmeVVo4fZXi6AkhKNNaC/dYsBKZvMoCRxo+rdaoFtVotFq3iVuobGxvY2trC7Oxs3KOGZcCZqtlut2OxrImJCSwtLaFer2NqagorKytoNpuYn5+PWSI8B10LJCZMO6V6MDExETc3azabeOyxx2KfgIIQMNVze3s7BoIyQ6TT6WB+fj4GgXIHVo7P/Px8PH+r1YoZJcyUARDvxaVLl6JiMT09jbm5uYGxoEqhAaaKRqMRn7O1tbXoriIJ4P3kGKbKfVOl4LUtLS0BQAywVfdMavdVj1arFX/WAmH6/I4C72FWPDJOErLr5AQihN1t3TXwU4mGJx2prJNhygXPo989vCtEf1Yi4X9XRcCrEanAS/0cV4C+bd8mjbuudtku+8mYC1UvVA2hYqFpjjTuzGDwxA0YDF6kUev1elhYWEC328XZs2exubmJmZmZgY3B1BXBdmiczQznzp1Dq9XCmTNnBtJMuSGXZmhwJa+qy+zsLG655RZcvHgRi4uLcbVer9exubmJjY2NSHjUNUJCQfJz++23Y3NzE2aGW2+9FWtra5EUhBAi2aIywns1PT2NM2fOYH5+HhcuXIi/A0WMw87OTtyeXdUgdevQpbO6uhpJC8er1WpFsucLmdElwTZSkxrfJV4DVQ8NzuVzRRdPqh1+nvfDvz8aJ+EJzjCo+nJQZJKRcVKRFY0TBk6EnBg1L98HcHrCoZki+w3iBIaX+FZCkYq1UDKRIhVUHVSF0PY4KWtbNP5etaBxpYEBEA2lyua8XhZookrBtmZmZmJwYaVSiVkRLPfOMdNaGDTOVCLOnj2L9fV1nDp1CpcuXcL6+npshytzKgftdjsaw4WFBfR6Pdxyyy24fPkypqamYlbEpUuXYs2IVquFqamp2AYVFwahLi4uotVq4alPfSo++clPxvG/cOFCXJFvbW2hUqkMqAOnTp1CpVLB6dOncfbsWTz88MOoVosCWQxGrtVqaDabWF9fh9nuJma8Z8xuqdVqkWA9/vjjUW2g8rK6uopqtRqVC44liSbVA5IRM8Ply5exsLCAzc1NnDlzBltbW9F1xTGdnZ0dKDzGZ7jVamFychJra2uRtFH16fV6MUaj2+3GWJVUrAZdJ2tra9HdpPEqAMZyhTAYVOND/MR7GIGcmWRknERwrr7ecE0TDWA3qI05+r6o1jjukXHjLPTnVIxFmbKg370rxLsyvOtEYyxS5IWGXY06gAGS4eMsCBoTrk5pIGmYpqamIrngsbpLpyoXNC5zc3PodDo4e/YsWq0W5ufnYwYQdy1dW1sbKL7FNqamptDr9XDmzBlsbGzgjjvuwOrqKm666Sasrq7G/UO4WqdrgW4ethFCwLlz51CpFFktT3ziE/HII49E5eUTn/jEQAVKEi51C918883R9fGkJz0pEpxLly5FgsX9QMyKMuYcw2q1ilOnTmFzczOStNOnT8faHFROqAZ1u13U6/VoiEn8SHBoWPXeNZvNGCtCkk2jTKK0vb2NU6dOYWtrC/Pz8wPPNGOYmLaq46jkk6QvVV1TodVNVS3geI4LLYDG4/eDMpUmI+NaQSYaJwycLNV1QtKRIho+wDNFMHyMhXeFpFSLlHtECYV3Zfj/8W90idBY+XgLjafgcbrLJd0LVHRo/Pkzr4XHaOAfSce5c+fQaDTQ6XQwOTkZMxpqtVr0qWsQJa9pamoK3W4Xt912G5aXl2M/6RLZ2dmJQYw0BuwDz083xunTp2PfQijqMKytrWF2dhaNRiOqJczCUPWHKsBTnvIUfPCDH8Qtt9yCCxcuYGVlJe4NQlLAceIq/9SpU2g2mzHL47HHHsOpU6dw//33o9lsxmJYvCbdjI3jwSyYM2fORLfL6dOnAQCPPvpoHEuOnaZvzszMYHZ2NhI/ksbLly9HA9xut2OwbKWyWyqbn9fsEBYeq9VqWF9fj21vb2/HeBbNFtIYDa3KyvHe2dnB5ORkjNHQglt8ttgHTpbeJcJnsQysBnrQyTaTjIxrHdfjM3zNEw1f/VOVjVRJcZ+KSvhgTf3y//fBmyn3iJIHJR4a+OjdIbryI5HQegysw8D/00ADGMhg4CoZQCQGjC/Y2dnB7OxsDIas1WrRtdFqtWJ2B1M+OV6Tk5PY2dnB0tISms0mZmZmYkbD7OwsqtVq3GAMKDbpYrDj9PR0JC7sN10h9Xod58+fx9bWVowBeeyxx+L3Xq8X3StTU1PY3NzE2bNnsbGxgdnZWSwuLsb0TaolExMT+NCHPoTNzU3Mzc1F9YAZFKxF8dhjj2F6ehp33XUXdnZ2cPbsWXQ6HUxPT+Ohhx6K7hwqKdPT01hcXIx1N2jwq9Uqzp8/j2q1GgM1L126FDOiGLDMGhsAcNNNN2FiYiK6bZh+etttt0VXCmNO6J7hfSUxWFhYwOXLl7G4uIhutxuJyfT0dFRaNjY2YnAqVa9OpxOfpVE1KUjs6OKpVIriXRrjw/gfAEm3Cokd46nKSpLzeR0F3b113JoaHln5yDiJyK6TEwolEj4INFUDQwmGyrMphSL1GVUVfJ0J/TsncXV9cELmZKpBhuomAXZTFWnsGXQ3NzcXDReJCKPw9To0VZKk4fz581hbW8Pk5CRuvvlmPProo5EYNJvNuNrUWg50v5w6dSoaCZ7nzjvvxEc/+tEB+Z3kTwNBuVpmuuq5c+ewurqKpaUlrK2todVqRcWCLgSqBhy3yclJnDt3Dpubm3ja056G9773vbjzzjvx8MMPY2lpCRsbGzGFlddLosPjmaWxsLCAW265Baurq1hcXMTy8nIkFCsrKwPPAgM5gcKAnzt3DpcvX0alUsGZM2fw+OOPR7Kxvb2Nxx57DGYWFQEzi5ksVCpY+Krb7Q7sRAsAy8vLCCFE1UBVBpJVEkb+bWdnB1NTUwOxHoxfMrOB+8nrAPZujc7Pk8zwXaFbxCtY7JvGTKgBVzeKVz6uBEpyDopMMjJOKjLROAaY2XMAvAJAFcCrQwj3Dvu81svwNTH4pUGfhEaue1eGTo76eRpe3ePC+6L5d6ZucsLmpMwgRTUE3BUTwACpYDolV4LsI1elrFfBEtUzMzMxE4RFoqhOAIgr3/X1daysrETf/uzsbCQci4uLWF9fx9mzZzE3NxddCbfffju2t7fRaDQwPz+PS5cu4b777oubjPFeUGa/+eabsbGxgcXFxVjI6VnPehb+8i//ErfffjuWl5fxwAMPxJV2vV7HwsICdnZ2cOutt+Kxxx7Dbbfdho2NDdx6662Ynp7GLbfcgo2NDXz4wx+OMRorKyuYnp5Go9FAvV6PKaJnz57F/Pw8dnZ2cMcdd2BjYwNnzpxBCAGf9VmfhY9//ONRlXjwwQdx+vTpmN5arVbxWZ/1WajX62g2m7j77ruxs7MTM0OoPqysrMRKniQHDCY9ffp0NNCMXXnCE54QlYeVlZVYGVSVDtbr6HQ6uPXWW9Hr9WIQpjfia2trCKHYOZUxIbOzs2i1WrGCKYND6b4BBt0ZJEHMliExYVDt0tLSQMotr9+DJHV9fX2ASFcqlbFSVgmWK6fylUImCRnXMw6LaJjZEoDXA7gLha3/6RDCL/f/ty872z9mK4Qwb2Z3A/gYgE8AMAB1AC8IIXyi7NgTRZ3MrArglQC+FsDTAHy7mT1t2DE+oFNdJKmfPdngCo3R/DTw09PTkVRQGWD55fn5eSwuLmJpaQkLCwvx8/xiqWruI0FywFU1z0HFYmZmBufPn8fCwkJc+Wo1yf7Y7InXqNVqmJ+fjzEXU1NTOH/+fFRNSDR47VtbW1FSpxHgipT9fNKTnhT79bSnPS0GBXL/j16vF0tcaxskayRHp06dGnDrtNttfOQjH0G73cZDDz0U74VeD8nZE57wBExMTOCmm25CpVLBLbfcglarhcceeyyqJ0wbpdFRNYnBmHQ3UQHY2dlBu93GI488EgkqXTxmFquB6vFMzWXKKGM82A/eG83IoerA30m+Go0GGo1GzKxgHxSqjHEPERbX4nk5pt4V6AMo9Xnx59H3hwTDuwf1eka5NDSo17sF9wM9f0bGjYZULKB34+8DLwbw0RDC0wE8G8B/NLPJg9jZBD4dQnhGv+3XAvjRYR8+aYrGFwH4VAjhPgAwszcCeC6Aj6Y+7NNR/c/Dskp0UqUCsbS0FIPlGPuhgYuMc5idnY2kgIaDSgSN05kzZ+Kqm8GTU1NTOH36NCYnJweKDnHnz9nZWSwvL0eDSGNOI0bXCeMV5ubmcNNNN8WS3GaGu+++OxarWl1dBYCoSlDdmJ6eHohX4Ep1e3s7Bg2ur6/j0qVLsdjVmTNnsL29jbNnz8a9NViginuBsLZFq9XCww8/DABYWVnBzMxMLHFNY1mpVOJmYNyKnNf4yU9+EnNzc/jMZz6DTqeDRx99FOvr6zh9+jTq9XpUVwDENFItMz49PR3dIHfddRceeughrK2tDfRjfn4+um1IFoFik7HJyUk89NBD0c1z4cKFWFr77NmzUYU5ffp0LNpVqxWbrC0sLKBWq8XS+KxwChRuETNDs9nEmTNnootIXRgcE7p9qFxoQO6tt94Ks6JAF1UMZprwGoDCxbCxsYFKpYK1tbWYYssA0l6vF49hbRO6zqigUEkDMBA7wtghEil+hv337ymASJjKlAoAyYJfGRk3Eg6RZAcAC1a8kPMAVgB0AHwxxrCzZvZEAG9AwRPeMuQ8iwBWh3XkpBGN2wE8JL8/jGJQIszsRQBe1P91+8Mf/vCH93sSGm8Wc6L8/dBDDw077KA4B2D5KBo+ZFwL/cx9PBzkPh4Och8PD9dCPz/7qE/wvve9762VSuXckI9Mm9l75fdXhRBeVfLZnwPwZgCPAlgA8LwQQs/MRtrZPl4B4BdCCK8zsxe7/z3JzD7Qb3e25PiIk0Y0UtrQgBTRH9RXAYCZvTeEcM9xdOyguBb6CFwb/cx9PBzkPh4Och8PD9dCP52BPxKEEJ5ziM39AwAfAPBVAJ4E4G1m9j8xhp3t40sBfFP/518F8JPyv0+HEJ4BAGb2PBQ2ubTvJ80R+jCAO+X3O1CwsYyMjIyMjIwSmNmLzewD/a/bALwAwG+FAp8CcD+Ap2J/dnZ4iewCbwbw5cM+cNKIxnsAPNnMnmhmkwC+DcVFZGRkZGRkZJQghPDKfoDmM0IIjwJ4EMBXA4CZ3YzC9XMfxrez7+r/DwCeP+TUXwbg08P6dqJcJyGEjpn9AIC3oki7eU0I4SNDDinzTZ0kXAt9BK6NfuY+Hg5yHw8HuY+Hh2uhn9dCHxX/B4BfMbMPoXCXvDSEsAwAY9rZlwB4g5m9BMBvuv8xRsMA7AD4nmEdMZ+NkZGRkZGRkZFxWDhprpOMjIyMjIyM6wiZaGRkZGRkZGQcGa5ZomFmzzGzT5jZp8zsZSe9P2b2VDP7czPbNrMfPqF9fL6ZfbD/9Wdm9vQT2Mfn9vv3ATN7r5l92XH3cZx+yue+0My6ZvbNx9m//rlHjeWzzWxdItV/7KT1Ufr5ATP7iJm946T10cz+fzKGH+7f7zMnrI9LZvb/mNlf98fxBcfZvzH7eNrMfrv/fr/bzD73uPuYgpm9xswumtm+azZl9FFWRfMkf6EIYPk0gM8CMAngrwE87ST3B8BNAL4QwMsB/PAJ7ePfAXC6//PXAvjLE9jHeezGFn0+gI+fxLGUz/0PAL8P4JtPWh9RlCX+veMev3328RSKioV39X+/6aT10X3+HwL4HyetjyhKRP9k/+fzKKpETp6wPv4UgB/v//xUAH98NZ7LRN+/HMAXAPjw1e7Ltfp1rSoasVR5CGEHAEuontj+hBAuhhDeA6B9NTqI8fr4ZyEElpL9CxT51Setj1uh//YDmMN4ed6HjXGfv3+JIlr74nF2ro+T9o6kME4fvwNFLYAHgeI9OoF9VHw7gF8/lp7tYpw+lpWjPkl9fBqAPwaAEMLHAdzdT8u8qgghvBPFeGUcENcq0UiVUL39KvUFOHn9SWG/fXwhgD840h7txVh9NLNvNLOPA/jvAP75MfVNMbKf/TK/3wjgF4+xX4px7/eX9OX0PzCzzzmerkWM08enADhtZm83s/eZ2T87tt4VGPu9MbNZFNURfSrgUWOcPv4cgL+NojDThwC8JITQO57uARivj38N4J8AgJl9EYAn4PgXOxlHgGuVaIxbQvW4cNL6k8LYfTSzr0RBNF56pD1KnDrxtz19DCH8dgjhqQD+MYpc8ePGOP38WRR56+ltU48e4/TxrwA8IRQ7MP5nAL9z1J1yGKePNQDPAvD1KEoq///N7ClH3THBft7tfwjgXSGE4179jtNHlqO+DcAzAPycmS0ebbcGME4f70VBKj+AQg18P45Xdck4Ipyogl37wEkrVX7S+pPCWH00s88H8GoAXxtCuHxMfSP2NY4hhHea2ZPM7FzoF6I5JozTz3sAvLFQqnEOwNeZWSeE8DvH0sMx+hhC2JCff9/Mfv6Yx3KccXwYwHIIoQ6gbmbvBPB0AJ88ni7u65n8Nhy/2wQYr48vAHBv3+34KTNjOep3H08Xx34eXwAAfRfP/f2vjGsdVztI5CBfKAjSfQCeiN3Aos+5FvoD4CdwdYJBR/YRwF0APgXg75zUcQTwt7AbDPoFAB7h7yepn+7zv4LjDwYdZyxvkbH8IhQli49tLMfs499G4bevodgl8sMAPvck9bH/uSUUfvy547zP+xjHXwDwE/2fb+6/N+dOWB9PoR+gCuB7AbzuuMdySP/vRg4GPfDXNalohP2XKr8q/TGz7+///xfN7BYA7wWwCKBnZj+EIup6o6zd4+4jgB8DcBbAz/dX4p1wjDsqjtnHbwLwz8ysDaCJYuvjY3VTjdnPq4ox+/jNAP6FmXVQjOW3HedYjtPHEMLHzOwtAD4IoAfg1SGEY0sz3Me9/kYAfxgK5eVYMWYfS8tRn6A+/m0ArzOzLopMoxceV/+Gwcx+HUWG1jkzexhFZsx/vbq9uraQS5BnZGRkZGRkHBmu1WDQjIyMjIyMjGsAmWhkZGRkZGRkHBky0cjIyMjIyMg4MmSikZGRkZGRkXFkyEQjIyMjIyMj48iQiUZGxhHBzM7Krp6Pmdkj/Z+3zOznj+icP3QVynSXwsweMLNzQ/7/RjN78nH2KSMj43iR01szMo4BZvYTALZCCD99hOeooSgr/gUhhBNRutnMHgBwT1nNBjP7CgD/NITwvcfasYyMjGNDVjQyMo4ZZvZsM/u9/s8/YWavNbM/7K/+/4mZ/Qcz+5CZvcXMJvqfe5aZvaO/sdhbzezWRNNfBeCvSDLM7AfN7KNm9kEze2P/b3Nm9hoze4+Zvd/Mntv/e9XMfrp/3g+a2b/s//2r+5/7UP+4qf7fHzCzf2tmf9X/31P7fz/bv5b3m9l/QX+Pi/55/3t/A7cPm9nz+n3+nwC+pk+SMjIyrkNkopGRcfXxJBSbhj0XwOsB/EkI4fNQVOv8+j7Z+M8oypg/C8BrALw80c6XAnif/P4yAM8MIXw+gO/v/+1/A/A/QghfCOArAfyUmc0BeBGK8tD8/K+Z2TSK8unP6/enBuBfSPvLIYQvQFHe+of7f/txAH8aQngmgDejKGsPFLuaPhpCeHoI4XMBvAUAQrGD6KdQ7F+SkZFxHSITjYyMq48/CCG0UWzfXUXfCPd/vxvAZwP4XABv6+9s+W+Q3j77VgCX5PcPoiAM/xS7u2D+fQAv67fzdgDTKMjA1wD4RaohodiB9LMB3B9C4AZmrwXw5dL+b/W/v6/fT/T///p+G/8dwKpcy9eY2U+a2d8NIaxLOxdR7CqakZFxHSLLlRkZVx/bQLG6N7O27DfSQ/GOGoCPhBC+ZEQ7TRTEgfh6FIb/H6HYXv1z+m19UwjhE3pgf7dMH7CV2tp7T78BdDE4l+wJ/AohfNLMngXg6wD8ezP7wxDC/97/93S/7xkZGdchsqKRkXHy8QkA583sSwDAzCb6pMHjYyh2t4WZVQDcGUL4EwD/GsXOmPMoNrX6l31iATN7Zv/YPwTw/YyVMLMzAD4O4G4z+1v9z3wngHeM6Os7ATy/38bXAjjd//k2AI0QwusB/DSKnXeJpwC4apsiZmRkHC0y0cjIOOEIIeyg2Gn1J83srwF8AMDfSXz0D7Dr2qgCeH1/t873A/i/QghrKHbxnADwQTP7cP93AHg1im3iP9g/x3eEEFoAXgDgv/Xb6QEYtTPtvwXw5Wb2VyjcNA/2//55AN7dd9n8bwD+HQCY2c0AmiGEC+ONRkZGxrWGnN6akXEdwcx+G8C/DiH8zdXuyzgws/8VwEbedjsj4/pFVjQyMq4vvAxFUOi1gjUUQaYZGRnXKbKikZGRkZGRkXFkyIpGRkZGRkZGxpEhE42MjIyMjIyMI0MmGhkZGRkZGRlHhkw0MjIyMjIyMo4MmWhkZGRkZGRkHBn+XxIyu7yvF4sNAAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "w_len_ms = 62.5\n", "N = int((w_len_ms / 1000) * Fs)\n", "H = 4\n", "X_hann = librosa.stft(x, n_fft=N*16, hop_length=H, win_length=N, window='hann', center=True, pad_mode='constant')\n", "X_rect = librosa.stft(x, n_fft=N*16, hop_length=H, win_length=N, window='boxcar', center=True, pad_mode='constant')\n", "\n", "plt.figure(figsize=(8, 3))\n", "librosa.display.specshow(librosa.amplitude_to_db( np.abs(X_hann), ref=np.max), \n", " y_axis='linear', x_axis='time', sr=Fs, hop_length=H, cmap='gray_r')\n", "plt.clim([-80, 0])\n", "plt.ylim([0, 500])\n", "plt.xlim([0, 1])\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.title('Hann window')\n", "plt.tight_layout()\n", "\n", "plt.figure(figsize=(8, 3))\n", "librosa.display.specshow(librosa.amplitude_to_db( np.abs(X_rect), ref=np.max), \n", " y_axis='linear', x_axis='time', sr=Fs, hop_length=H, cmap='gray_r')\n", "plt.clim([-80, 0])\n", "plt.ylim([0, 500])\n", "plt.xlim([0, 1])\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.title('Rectangular window')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrogram: Effect of Window Size\n", "\n", "Besides the window type, the size of the window also crucially affects the STFT. With the next example, we discuss the role of the size of the window function. Let us consider a signal $f$ defined by \n", "\n", "\\begin{equation}\n", " f(t)=\\sin (800\\pi t)+\\sin (900\\pi t) + \\delta(t-0.45) + \\delta(t-0.5) \\mathrm{\\quad for \\quad } t\\in[0,1].\n", "\\end{equation}\n", "\n", "In this interval, $f$ is a superposition of two sinusoids of frequency $400$ and $450~\\mathrm{Hz}$, respectively. Furthermore, two impulses are added at the points $t=0.45$ and $t=0.5$ sec. We assume that $f$ is zero outside the shown interval $[0,1]$. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:47.893139Z", "iopub.status.busy": "2024-02-15T08:58:47.892958Z", "iopub.status.idle": "2024-02-15T08:58:47.968379Z", "shell.execute_reply": "2024-02-15T08:58:47.967865Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "duration = 1.0\n", "Fs = 4000\n", "N = int(duration * Fs)\n", "t = np.arange(N) / Fs\n", "x = np.sin(2 * np.pi * 400 * t) + np.sin(2 * np.pi * 450 * t)\n", "x[int(round(0.45 * Fs))] = 10\n", "x[int(round(0.50 * Fs))] = 10\n", "\n", "ipd.display(ipd.Audio(x, rate=Fs))\n", "\n", "plt.figure(figsize=(6.5, 1.5))\n", "plt.plot(t, x, c='gray')\n", "plt.xlabel('Time (seconds)')\n", "plt.xlim( [t[0], t[-1]] )\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute the spectrogram, we use Hann windows of different sizes. Using a size of $32$ msec, one can observe in the spectrogram a horizontal stripe in the region between $375$ and $475~\\mathrm{Hz}$, which corresponds to the sinusoids, as well as two vertical stripes at $t=0.45$ and $t=0.5~\\sec$, which correspond to the impulses. While the two impulses can be clearly separated (in each of the $32$ msec windows there is at most one of the impulses), the two frequency components at $\\omega=400~\\mathrm{Hz}$ and $\\omega=450~\\mathrm{Hz}$ are not separated well (due to frequency smearing introduced by the chosen window).\n", "\n", "\n", "\n", "The situation changes when increasing the window size. For example, using a Hann window of size $128$ msec results in\n", "a clear separation of the two frequency components as shown by the two horizontal stripes. However, increasing the window size goes along with an increased smearing in the time domain. As a result, the two impulses are not separated any longer. As a side remark, we want to point to the two vertical stripes showing up at $t=0$ and $t=1$, which are the result of the zero-padding outside the shown time interval." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T08:58:47.971078Z", "iopub.status.busy": "2024-02-15T08:58:47.970898Z", "iopub.status.idle": "2024-02-15T08:58:48.770766Z", "shell.execute_reply": "2024-02-15T08:58:48.770203Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/zal/miniconda3/envs/FMP/lib/python3.8/site-packages/librosa/core/spectrum.py:222: UserWarning: n_fft=8192 is too small for input signal of length=4000\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "w_len_ms = 32\n", "N = int((w_len_ms / 1000) * Fs)\n", "H = 16\n", "X_short = librosa.stft(x, n_fft=N*16, hop_length=H, win_length=N, window='hann', center=True, pad_mode='constant')\n", "\n", "w_len_ms = 128\n", "N = int((w_len_ms / 1000) * Fs)\n", "H = 16\n", "X_long = librosa.stft(x, n_fft=N*16, hop_length=H, win_length=N, window='hann', center=True, pad_mode='constant')\n", "\n", "plt.figure(figsize=(8, 3))\n", "librosa.display.specshow(librosa.amplitude_to_db(np.abs(X_short), ref=np.max), \n", " y_axis='linear', x_axis='time', sr=Fs, hop_length=H, cmap='gray_r')\n", "plt.clim([-90, 0])\n", "plt.ylim([0, 1000])\n", "plt.xlim([0, 1])\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.title('Short Hann window')\n", "plt.tight_layout()\n", "\n", "plt.figure(figsize=(8, 3))\n", "librosa.display.specshow(librosa.amplitude_to_db( np.abs(X_long), ref=np.max), \n", " y_axis='linear', x_axis='time', sr=Fs, hop_length=H, cmap='gray_r')\n", "plt.clim([-90, 0])\n", "plt.ylim([0, 1000])\n", "plt.xlim([0, 1])\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.title('Long Hann window')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Frank Zalkow.\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 }