{ "cells": [ { "cell_type": "markdown", "metadata": { "nbsphinx": "hidden" }, "source": [ "# Spectral Analysis of Deterministic Signals\n", "\n", "*This jupyter notebook is part of a [collection of notebooks](../index.ipynb) on various topics of Digital Signal Processing. Please direct questions and suggestions to [Sascha.Spors@uni-rostock.de](mailto:Sascha.Spors@uni-rostock.de).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Short-Time Fourier Transform\n", "\n", "\n", "The discrete Fourier transform (DFT) is not very well suited for the analysis of instationary signals when applied to the entire signal at once. Furthermore practical signals, for instance, an antenna signal, cannot be analyzed in an on-line manner by the DFT. This motivates to split a long signal into segments and compute the DFT on these segments. This transform is known as the [short-time Fourier transform](https://en.wikipedia.org/wiki/Short-time_Fourier_transform) (STFT).\n", "\n", "The STFT $X[\\mu, n]$ of a signal $x[k]$ is defined as\n", "\n", "\\begin{equation}\n", "X[\\mu, n] = \\sum_{k = n}^{n+N-1} x[k] \\, w[k-n] \\; \\mathrm{e}^{\\,-\\mathrm{j}\\,\\frac{2 \\pi}{N} k \\mu}\n", "\\end{equation}\n", "\n", "where $w[k]$ denotes a window function of length $N$ which is normalized by $\\sum_{k=0}^{N-1} w[k] = 1$. Starting from $k=n$, the signal $x[k]$ is windowed by $w[k]$ to a segment of length $N$. This windowed segment is then transformed by a DFT of length $N$.\n", "\n", "The STFT has many applications in digital signal processing, for instance, in the spectral analysis of signals or the processing of instationary signals. The resulting spectrum $X[\\mu, n]$ depends on the frequency index $\\mu$ and the time index $n$. The spectral domain is therefore also termed as [time-frequency domain](https://en.wikipedia.org/wiki/Time%E2%80%93frequency_representation) and techniques using the STFT as time-frequency processing.\n", "\n", "The properties of the STFT depend on\n", "\n", "* the length $N$ of the segments,\n", "* the overlap between the segments, and\n", "* the window function $w[k]$.\n", "\n", "The size $N$ of the segments and the window function influence the spectral and temporal resolution of the STFT. The time index $n$ of the STFT can be increased by an arbitrary step size. The step size determines the overlap between two consecutive STFTs. For instance, the spectra $X[\\mu, n]$ and $X[\\mu, n+1]$ have $N-1$ overlapping samples. The overlap is sometimes given as percentage of the segment length $N$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Spectrogram\n", "\n", "The magnitude $|X[\\mu, n]|$ of the STFT is known as the [spectrogram](https://en.wikipedia.org/wiki/Spectrogram) of a signal. It is frequently used to analyze signals in the time-frequency domain, for instance by a [spectrum analyzer](https://en.wikipedia.org/wiki/Spectrum_analyzer)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example - Spectrogram of a chirp/sweep signal**\n", "\n", "The following example compares the Fourier transform and spectrogram of a [chirp](https://en.wikipedia.org/wiki/Chirp)/sweep signal. A chirp signal is a signal whose instantaneous frequency increases or decreases with time. Lets first listen to a chirp signal whose instantaneous frequency increases linear with time\n", "\n", "\n", "[../data/linear_sweep.wav](../data/linear_sweep.wav)\n", "\n", "Now the magnitude spectrum $|X(e^{j \\Omega})|$ of a chirp signal is computed and plotted" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.signal as sig\n", "\n", "\n", "N = 8192 # length of the signal\n", "\n", "# generate signal\n", "k = np.arange(N)\n", "x = sig.chirp(k, 0.01, N, .49)\n", "\n", "# compute and plot magnitude spectrum\n", "plt.figure(figsize = (10, 3))\n", "f = np.fft.rfftfreq(N, 1/2)\n", "plt.plot(f, 20*np.log10(abs(np.fft.rfft(x))))\n", "plt.xlabel(r'$\\Omega$ / $\\pi$')\n", "plt.ylabel(r'$|X[\\Omega]|$ in dB')\n", "plt.ylim([0, 50])\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Followed by the spectrogram of the chirp signal" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oej1SRXtEsqBj9SWii/dFpjlS9majUAC9F5BuZaXolXCJMrbcGUxetcqrOtGVefZ2yPBIJfFBkTyoNU27wfBFzX1mbRPxKz41P23W7mida9Z+OH2aWQOAIy1b6ZplPijL6wSiOgFAtxwqkCoikDODak+kgiAIgiBIiCTrtbdcqPxESo2ecrxHG1EWukzlWPSwloZ3vyyDhvTac6u0ifKQKL52ekk8Ul12ThP55yhFr1p0+4DI75vT65MrY8u7X6daywRQ74U+XbWXI0dKiOrEfVC26rRq0l4pd06T+aDshPIpkge1s2WfnLtn1pq1x6btLCgAmCF98bw+KLCaucOlb5IHRShSWVR+IhUEQRAEQTpi1R6n+hOpIhVH6oPwD4TmQXmhq/a8adI+j1AeuArCxkOuypl6QNpt+ZPE0ySiJ/FXpVjtmGJFY8bnutvP5FaynEq28xeHKlJEVWIeKICvzGM+qJOYD2rS6YOq23+eDs0/Y9Z2tjebNeaDOtqaMGsA0G6zPCivD8ouifneKPY2m0LQjVV7lOpPpIIgCIIgSEYoUpxqT6QEJEfK3oyqHCwrKGssXrzbMj8LWWGWRFlLpFbRTYv2CjjPqTtJO1dWkvP1J0W62jGBypNslahbIfOpnBSmRjMhw7syjyhOQBof1IumHjdrWxuP2seTKbO2g3iS7pl+gVk7SHxQMyQLCshIIWdeJ9IzTzz99EbgkYpkc061J1JBEARBECREMB+r9iiVn0hZV+38ipyoJ2y6X6X3UgKP1ChWn9GLL++qPXfG0PBzpErnkUpBgnOTpdalUMFS9O/zruhjPii2Mq+WoUg1GrYidTLpi7e2ecSsbW3aKeTn1u2VcAeJD2pX6zyz5vVBdWb5n8Nux6c60TyokmRFMUKRyqbyE6kgCIIgCNIRihQnJlJBEARBEAxEVUKRyqCwiZSIXA7gE+hZIT+tqh85oX42gM8CWNX/mfer6k2L2LHxuL1JihYxed5ntE2E97aA12zuXuJv10ZySzDFMVPcoiv6OWQck+FuO0NvlyUI6wRyxCo4DeXe45HNvLf2UGfNhfmtPWoon7AN5ec2D5m1bdRQbjcCvrtj3/ZjwZqHZux9MkP5PLt1B/DwTGYoJ7fvWNxKmUSgCOTkFHJ2RGQMwHUAXg9gK4C3iMjWE37sPwL4gqr+OIArAXyyiLEFQRAEQRB4KUqRugzAXlW9HwBE5AYAVwDYs+BnFMAp/a9XArD7Ayxk2FNBuow/zSUCbdnhXeuaIo4gkerkbj1CaileqSRm8zwkULroUL0xDixSxNskOAOuZjkXlBSsyNJWL0SRoqGajTl6TGYoP2vKNpRvmbQN5WeP2+1cDswdM2u7WlvM2r7pVWbtyIzdXJgZymmEAZBhKGfb2SV2N8J834wi/qBgeUxE/guAfw1gFsB9AN6pqof7tQ8AeBd6Z/bXVfXmQgc3gKL0unUAHl7w/b7+Ywu5FsCviMg+ADcB+PeDdiQiV4nIDhHZMduxV3UEQRAEQZAXwbzWlvwvJ18DcJGqvhjAvQA+AAD9O1lXArgQwOUAPtm/4zVSymQ2fwuAz6jqH4vIywF8XkQuUtVnzdlVdTuA7QBwyinr1VJz3FeI3tn+KO5ns0BOqgJ4wzoXMaYhbpe1LfWzuRU5tqycHc9Xy6NkuFv2pHj/s116VadEHimunvm2cytr5E3cZZ/ORK0aIx6pSdLKBQBOm7QvTjc27WDNbY2DZq0GO1hzT2elWWPBmswH1SLNhednyQuV4ZGi4Zms1Qv1SPk8gkXSiz8o9g+cqn51wbe3Avil/tdXALhBVdsAHhCRvejd8fpWoQM8gaImUvsBbFjw/fr+Ywt5F3ozTKjqt0RkEsBqAPZvaBAEQRAESRlxi5hfBfDX/a/XoTexOs6gu1uFU9RE6jYAm0VkI3oTqCsBvPWEn3kIwM8C+IyIbAEwCcC+BDqONVFOobp4W3IgozGxd7LP1AO3n8c3mFwXLAmMUEWv2kuhDmW+Fil8OXSfPnnQHYCZR61jn/sJau7VfmyfRFmShs8HxTxQAHBW86hZ2zZpNxg+e9xWnQ7MT5u1Pa0LzRrzQbmDNZnqxBc0ZnidnGoV+3yztivcI+VuWrxaRHYs+H57/44SAEBEbgEwSHa8RlW/1P+ZawDMAfhLzwCKopCJlKrOicjVAG5GL9rgelXdLSIfArBDVW8E8B8A/IWI/BZ6b5V3qLLZRxAEQRAEqen6FKlDqnqpVVTVV7ONReQdAP4VgJ9dMBdYzN2twinMI9XPhLrphMc+uODrPQB+ckn7RIYXyIPTP5FFipV5TOWi58XdIsa7HanBf27cq/bceUjDf/65VnslUOTc5837e5OiXQv8ChH3TyVQnYjXifmgak4fFPNAAcCmqcfM2tbGE2RL4oOaPdWsMR/Uk62TzBrNg2I+qDnyWUNqQA7VybvaryweKQXmC/ZI9XMnfxfAK1R1oaR5I4C/EpGPATgLwGYA3yl0cAMok9k8CIIgCIKSUbTZHMCfApgA8DXpXWjfqqr/rn8n6wvoRSfNAXivqrJY00Ko/ETKblrMtiFXJd67iYkyb9w4PTsp8pDy5G+5X6sEv/dJ/Dy5lDxe9+zXuRAyTfNh5yq5PMd0+7nYik6mZLGEcqcP6pTJtllbP3XYPh6ArRP2XZJ1Y7bqtJ/4oO5sbTJrj8ycYtaoD6pDTjhRpJjqRJUjZGQ+sY8iuqKPHXBJDyej55EqVh5TVfNNo6ofBvDhAoeTSeUnUkEQBEEQpCOaFnOW70TKq4IkWAmVjC650q07/TyMVKvkyjSeglUX92q/jGOW6X3M1JokvR0z9stX5jlzxFgKOfNBEUVqjChSTbL6jvmgNjd5mszWxlNmrQs7oXzP7Olm7f6ZM8wa80GxPKjurP1iCEkoZ6oT7XsH0DcdXX3nVKvK8vdmFDlSVWP5TqSCIAiCIMhJ8bf2qka1J1ICnhfFtrNwWqTyTNjd4hnNkWIbOmt0MP59etPL3av9EqzaK51Hyqnm8PPtPJ6z1543tynPtlzJcqpOZDshq+9S+KC2TT5s1gBg/bidGH5fh/XFO8+sMR/U02T1He2LR/KgqA+K1bI++72qE1WkyGeK9b4ZQShQ0b32qka1J1JBEARBECRjFPEHVaPyEynXqj121Uk2zLP6rGi49ybFir4058bfa897vPJkReXxSBWtkLlXu3mzorJypLxj9XqdmEJWJ3lQDduYw/KgVjdtdej8qUftWt1OLgeAjto+qN2zZ5q1BxL4oOaJ14nlQdVsIY/6oHJ9gnl9UE6Vq2ji1h6n8hOpIAiCIAjSkKNFzPOGmGYGQRAEQRA4qb4iNexbSinM1hmkuC3mb2cy/NiEXMv4nduluLXlXo6fYpzIuPVV+LlhplnfWPK1iCHFFDVy20/GiaG8bt9rWtlsmTWvoXwtMZMDwL0dOzrhrtYFZu2R6ZVmjRrKSbBmEkN5VmNiJyniD2hLmoIJszmn+hOpIAiCIAiSEDlS2VR+ImW+vkUv8S8b3iv9og3MGfv1Lsf3vlRuFcRrxM/zPi2R2dzbzoWfb3+Ehdc07m0iLCRYc5yoTixYkxnKL2gesGt1W1Vqq60OAcCe2TVmbe+0bTY/3LZN6u0OM5STlFOv6sQM5YkUKW/8AW12HGbzylD5iVQQBEEQBInQMJtnUe2JlMC+EvYqBFlBf+Y+XZsByKGeJPLeeEj1e1Z0/EHRak2uNigFj4c2LU4RY5Aj/sC/X9bOxZYPas5gTeaDeuHUk2bt4smHzNqZY3bcwF2zdnNhALhzZr1Ze6x1slljPqhZ0s6lS3xQYO1c3IqU9wPFDzsmVdytt1TBSpUiPFJZVHsiFQRBEARBUkKR4lR/IjXs1zdPQGKCY1Jo6w1nsGgCJWsUq/YY7ibC7JymaMmT57x5VSemLDE/Bzuet2mxMzizt+3wfVA1okiNjdsyyNSEHax5BvFBbZ16xKxtqttK1nTX9iTtml1r1gDggenVZu1wy+eD6s4zH9TwGwzXyHZMzaErnZFDsErQWqZIwmyeTfUnUkEQBEEQJCMmUpzKT6RcGUxsE6/vJlcWlNeXxVQnsqHbs5NGyUqxao+/L3xNa/3tc8hQ8iigKY7JNkvgkUqRMQUAICIIbSJMVt/ViFrVoA2GfT4olge1mvigds/OmLW7ZtaZNYD7oJ4h7VxYHpTbB8VqTB0latVIcKpOWhpFKszmWVR+IhUEQRAEQTrCbM6p/kTKen2ds3lvynjWhN2rrFCoZ2f4atUo/GNJVu1RZY1dPnqPZ5dyJZvnUWwch+TNvn3b8Uwn33aZdWcKOc2DIg2GmQ/qwqn9Zm3zuL3P6a79HHa1zzJr9xEPFOD3QbE8KPWqTqT5sLcxMXsvjiJjqhJNizVu7WVR/YlUEARBEARJCLN5NpWeSKnYVxjs6sKbiJ3nvZQmhXv4nqWyeX2SbEdw935L4FfLtWrPSdE5UjxjilySZ+ZI+VQntvquUSd5UF4f1MQ+s3bq2JRZ2zlrH49lQR2csT1QADDt9UGRXCeWUA5n5hNTsry97ZKFd7t77RmPj0CpiokUp9ITqSAIgiAI0hFm82yW7UTKnevjne1nvc9SpHC7e78lGAsjkbKSJxXc3C6FtyyFWpNjPFR18l6xp8iRyuGR4nlQdq1OfFBTpC/emubTZu3Cpq06bSLHO9a1Vac7Wrbq9OD06Wbt6dkJswYA7Y79J4H6oEgeFJiyRGv2LlmtRlSuLlvNmUjpoQpSWXxQGWhMpCjLdiIVBEEQBEF+YtUep/oTqaGv2mPHyvFmSuFncaeXe7cjYxnF71kKJcvZo82bh1S6HCn2/NmqphTnlKlOGT0xmQ+qNmZLFhPMBzVhK0TnTD1h1l48Ya/MW1mzV8nd3rYVsLtn7JV5j8+sMGvHWlyRcvugvCvzmEfKWWPvU5bcT9/fiaCLhEuiVukIV+2JyH8A8EcAzlDVQyIiAD4B4A0ApgG8Q1W/O5LBLSCVvS4IgiAIgsCFiGwA8FoACzt0vx7A5v6/qwB8agRDew4xkQqCIAiCwERVlvxvCHwcwO/i2feXrgDwOe1xK4BVIsIbSBZAxW/tiXkrSlgbkBRRBDkCOb24W7a4j0eKiYIlGe5ATrpTu1S2IFO6bYpLJG9sBg3ddDYXJoZxgBvKGw1iKCfBmmcSQ/mWJmswbI/lSNdu57Kr/UKzdj8J1jzSnjRrs8RMDqQxlHtv+9FbdM4abbuS6O4VvX3HbieW5NYeRrBqT0SuALBfVb8vz/47tw7Awt5J+/qPHShweM+h4hOpIAiCIAhS4lSYVovIjgXfb1fV7ce/EZFbALxgwHbXAPh99G7rVYLqT6SM11fZ5QVNFvQpWVmkWarvrKVQlkoWyJnEbF1wkGnmeUnxGnsXabhjDMhOWTsPYiYHeLDmRN1WnVZN2grRRmIov5gEa64ghvLvtO2x7J62GwwzQzkL1ZwjZnIgQ3VKYCjnqpPTpO41cKdSgJzHLI3ZHG6z+SFVvdTcr+qrBz0uItsAbARwXI1aD+C7InIZgP0ANiz48fX9x0ZKeKSCIAiCIBiM9vSFpf5zH051l6qeqarnqOo56N2+u0RVHwVwI4C3SY+XATiiqiO9rQdUXZES+8rbO5t3q055Ajmd6FiJWsQwEnmkqOjo3CWNlPCGvDqVo1yBnN5LJF/njRyhm8wHRSIMMjxSLFjzJOKDWjPpC9bcOG6fgKfmp83arta5Zu2H06eZtaMt4oOatT/Wu8yTBNAGw9wHZZeon4kpMs590hiDEShSbhXMqo2iRUx5cqRuQi/6YC968QfvHO1welR7IhUEQRAEQTIUo00276tSx79WAO8d2WAMqj+Rsl5fb4uMFDJH3m3NfTL1JEGrE0ISJSsPCVQ32pi4aE9aRp0fk1zSkg1ZmCFdfUfUI1YTUmMeKCCPD+qQWdvWsO8gTNVIg+GWrVbtmfYFa85QHxRRpJgHCqANhqkPquA2MG6PlDNUNhdl82wtmei1l0X1J1JBEARBECQjj+fp+UBMpJZAHtWFZx6RKzayHWvAmaQtSQIlK9e2Ra/a83qkvApYlkeKrtpkl8Fsp0Q9Ypt5V+YRJYutzGMeKAA4mTUYJj6oLZPzg2dMAAAgAElEQVR2HtS5dVsFOjT/jFnb2d5s1pgP6sgM8UG1mepEXuAsRYr5oJy+JK+fKYUilcsjlWIyUYFVe8Bob+1VgZhIBUEQBEEwkN4qvJhIMSo/kTJfX69CkGcwRVMi1SmP74omtDPIJRsVXZwqkN9bRQbjVbmQQ3VK4ZFjihRbYef0QTEPFACsmiA+qCbxQU3YPqgJOcmsfbtjq1XMB3WI+KBaxAc1T5QlbxYUkJXdlCKh3PdhTFUuArUHZnz4p1CIquGRGl3T4qpQ+YlUEARBEATpCI8Up/oTKUvNIFN9d6+9PKoLq7lXyg1/ZV6KhO5MxSlFPlUK1S2Bf4qrY1mXyGxb33Z+Rcq7Ms+WFlhPPOaBAoA1zaNm7aLmw2Zt47jtSzowd8ys7WptMWv7pleZtaOtCbNG86BYQjnzSGUpOe4U8oJr8+T9RlYsMzIVp/BIBQbVn0gFQRAEQZAEhTwvJlIishrAE/2sqiVR+YmUmWxe7DDS0SVXXmw1FFWrUiSi58jfSqDIcUVy+Onl7tV33vypPPtlO3W+/l32SUJUp3Gy+o5mQREPFABsmjpo1i5s2LW62J6lezqnmLUfzKwxa8wHNdNumLXurFd1cnqZkCPzyeln8u6zRpSzefZ7kcOTlEQhqkiyeYnEsaHQby/zEQBPAvhPAD4PYDWAmoi8TVX/YSn7q/xEKgiCIAiCYAn8KYDfB7ASwNcBvF5VbxWRCwD8DwDlnEiJyOUAPgFgDMCnVfUjA37mlwFci94E+Puq+la+U5hXyW4/D9nMm3rdO2SKJR92qfCVeYzMVXtk0xQ9E72r9pw19znN6peXIE2d+bLo86/b0gJLKK835swa80GdNXXEHgyArZN2Q/izx5tmbR/1QV1o1h565lSzxvKgOsQHpR3f6ju+gi7jc4r2t3N6r9ib0ZsxxcbJVomy5P4ReKSE3UUqy+205Rl/MK6qXwUAEfmQqt4KAKp6tzhWkRcykRKRMQDXAXgNep2cbxORG1V1z4Kf2QzgAwB+UlWfEpEzixhbEARBEASE5XZv79nT9BN9AqX1SF0GYK+q3g8AInIDgCsA7FnwM+8GcJ2qPgUAqmobGYIgCIIgKIRlqEj9mIgcRU+fb/a/Rv97W0I2KGoitQ7AwjXH+wC89ISfOQ8AROSf0Lv9d+1SDV+LxR1/kArnrS2vwTvJLboUx8vY1pvjyY3hTiM6O56zlUtmixi3wd0XDeIN1qyRGIPJhm0oP23Sbruyqcmvs7bW7dDNGuwGw/d0Vpq1H8zYIvmTLTuskwZrzia4fUebC9ubAXC3iElhKPfu0xspkCsrybutY6yj+Bu13HKkVOlSrSVTJrP5OIDNAH4GwHoA3xSRbap6eOEPichVAK4CgMaU7UsIgiAIgiAfimWpSA2VoiZS+wFsWPD9+v5jC9kH4Nuq2gHwgIjci97E6raFP6Sq2wFsB4CTTt9gvr4ew1gmuQI5adMSXymF2ThVxAGjaIUsRfNh7z6TxR84TeOsxhQpYjZnDYapoZyFak7aoZoAcPa4rTrtn582a7taF5k1b7AmM5SDGMqFRRw4VSdm0s7c1hkd4FaPyta0mOBdFFOJFjGK8hjfh4SI/Darq+rHlrI/582KJXMbgM0islFEGgCuBHDjCT/z9+ipUceDsc4DcH9B4wuCIAiCYAC9xsVL+1dyTu7/uxTAe9CzH60D8O8AXLLUnRWiSKnqnIhcDeBm9PxP16vqbhH5EIAdqnpjv/ZaEdmDXqOC31HVJzJ3Xmj8QZpZOV/+P/zGtHkaDKfYZwrPVtHxB1RZ8vqgss4L2y9rIsxazzDnAGsw3LDlgyZRnagPauoxs7a18ZRZ62ErUntmTzdre6ftYM0kPiiiOlFFyu07yog/cHuWhu+tYh/GNdIihv3iJFOACvRIjYQyjWUIqOofAICIfBPAJar6dP/7awF8ean7K8wjpao3AbjphMc+uOBrBfDb/X9BEARBEIycZd0iZg2AhVd6s/3HlkSZzOYuPC1imLLkDc7Mep+534bOvLYkAZGpVu2VyCPlrnmPx7YjjYAz9+tUnegxmQ+KBGueMtk2a+unDpu1bcQHtXbMVpwA4KE52we1p7XJrD0yY7eBeZq0c3H7oFiN+Zm8qlPWqj32lkuxMi+BRyqFOpRFoR6pUahDy0yRWsDnAHxHRL7Y//6NAD6z1J1UfiIVBEEQBEEilmeyOQBAVT8sIl8B8NP9h96pqt9b6n6qP5GyXt8kjXB9+8wD80jRzCPatJgd0FfL5btKkQdFGxMz84VvLNwjlWC7rLpXdSINhpkPypsHdf7Uo2Zta91uA9OF3eYFAPZ0Vpu1vSnyoFg7F+J1qtlCHs+K8q6gy2rM6/VBeb1HTpXL65GiY8m6q5DCX1WFVXtAucYyZFT1uwC+m2cf1Z9IBUEQBEGQkOWpSA2LZTuRcisk3h6SmTlSzm3ZlZd3PNSzU6ySlblfttsyeaScKlcudYwoS1R1IjVx+qBWNltm7eyT7BV21Ac1vsKs3dexmwsDwJ0zF5i1R6bt9HKvD4o1GGar75jqlJlCbg7GWQNyrAZ0bpcgm8q9z1RNi6uiOjFGME4R+fcA3oveKv4vq+rv9h//AIB39R//dVW9ufjRPZtlO5EKgiAIgmAIFDyREpFXoteP98dUtS0iZ/Yf34peDuWFAM4CcIuInKeqGVGz5nEmALwJwDlYMB9S1Q8tZT/VnkiJraCw1Xcpeu1lrtrzruogihT3CPlqbmWpUqv2nP30il7Rx9QqZKhObFvmgyKKFMuDWt20FaILmgfsWt32T3XU7h26a/YFZg0A7p+xPVKH27a/qt0hPqg55oPyKlL2LlP88cpSuejnVIqEclojyimpJVu1V/RkoiyplqNJNn8PgI+oahsAVPV4c80rANzQf/wBEdkL4DIA33Ie50sAjgC4HYC9vDiDak+kgiAIgiBYbpwH4KdF5MMAWgDep6q3oZc+fuuCn9vXf8zLelW9PMf2AJbDRGroq/Ycx1oMzm1rHdZUynm8JH34nMfL2pbhHI8k8Uj5atQHldWfnKpOdq2WIA/qhVNPmjXmgzpzzF4ld2/HVqv2zGw1awBwYMbng5qdtU96t2PXmNep5lWkEpCpSJGVeV6PVJIVhu7cJqLw5/iA96pHlei1B3hbvqwWkR0Lvt/e75ULABCRWwAMkpavQW9uchqAlwH4CQBfEJFzXaPg/F8R2aaqu/LspPoTqSAIgiAI0uGbSB1S1UvNXaq+2qqJyHsA/M9+x5PviEgXwGoA+wFsWPCj6/uPefkpAO8QkQfQu7UnvaHpi5eyk8pPpCzlIZmy5N2nczWgtGyFwO3LKTrZPFVr7BTKWgplifbEc668A/jqO+aDGrdlEOaDOnPqabPG8qDOr8+Ytbba6tCu9lqz9gDxQAHA4ZbXB0VkQNb7jqlONKGb/fInkCSy5F+vR4rgVasKX7WY6XMt1pdVrl57hXuk/h7AKwF8Q0TOA9AAcAjAjQD+SkQ+hp7ZfDOA7+Q4zuvzDhRYwkRKRFaoKl9zHARBEATBsmIEk7rrAVwvInei1//u7X11areIfAHAHgBzAN7rXbEHAKr6w2EMdimK1PdE5AoA96rqHAD0lx3eO4yBBEEQBEFQMhSF+7VUdRbArxi1DwP4cJ79i8g/qupPicjTePazO35rz266OYClTKROA3AdgC0i8jiAuwBcAsDuAFoEDsWR3krzBnLmOCaj9ox9W0TlVLvmbVqcYIl/qlBcd9NmBt2nM4qCmcadtwQB0Ft7NXJrr9GwL+C8hvIXT9iG8tXEUL571n5/3zmz3qwdIM2FAeAZ0s6lQ0zjyiIOmBGbrQlhNXb7yhuOy3aZaTYntYKDNUsXN5DgNlw1mhbLKG7tJUVVf6r//8nD2N9SJlIPqeorAUBE1gPYAsD+FAyCIAiCoPqUya9VQpYykVopIv8CwG5V3YdefkN5KTj+IFUgp07aZly/2dqZSDqKQE52FZiiRYxTPaKmcafZnClOAFedxomhfIoYytcQQzkL1jy/bitZ0137Y2ZX+yyz9uDM6WbtaNsO6wT8hnJlpnFvqxdn/AF7n9L3PiNP6GTBLWK8ZnPv8bJOTdFNi8tlNh/1AMrNUiZSKwC8D8CF/Vj1uwDcqaq/k2RkQRAEQRCMnphIUZYykXqZqt4PACIyCWArev1uRoodf5CgDwwjj+pCat0V9pV3qVq9pArk9CqLKYI1iVpFPVlU5fJFGADAGPVBkQbDk3aDYW+w5qljU2Zt56x9vLtatiL12IxtXzhGQjUB7oPqshgDFkfAVKcUHimC1wOYyiPljk1IFFVQ6D6RSD0qy+RlNC1ikiIiZy/yRw+r6tGsH1r0ROr4JKr/dQvAd/v/giAIgiBYppTqNuNw+Cx6U8QsY8lnAHwua2fVDuQUDH3VXiq8x5yfIH6OBKvo3Nt5x5IHb+imU1ly79Ppg6qRNi8AMF4nPqhGx6ydMWnHwW1pPmLWzq/bKtexrj2WXW27FdYD07YP6gjxQbU7/KOL+6DIi+xVnZyNeVN4kiiJPFIpWr2w50jvODjJnCykaCJdlQlKVca5SI4vnBsW1Z5IBUEQBEEQLAEROW0RP9ZV1cOL2V/mREpEXg7g1n6qaKmgt24r1CKG0W0QqSNFq5NUK/MYXh8U26VbWUqwws7pg6qN8cDeCaIQrZywfUnnTD1h1i4meVAra3bblTva9qq93dO2InWQ+KCmiQ+KeaAAvw+Krr5bDh6pHJ/iaXKkyO9GwSvhyrZqr0wqUGWUs8XzSP8f++szBmBRXqrFKFJvA3CdiNwL4B8A/IOq2o21giAIgiBYPiwzszmAu1T1x9kPiMj3FruzzImUqr6nv9ML0Gvw9xkRWQngG+hNrP4pT6+b3HiaFg/5WHm3Zff7u3VnunGCpsXec5p59ZwgpTnF6ruifVB14oECeB7UGU3bB3XhlN0sfVPdHs+Rrp2/u7O9waw9mMAH1Z3nipQ/odzXfLjm3M77HuaJ6KSWoSy4VZcUGVNErUrVLcGNO9mcKXKDn2ThT30ELWIK4OVD+hkAvEHFs1DVu1X146p6OYBXAfhHAG8G8O3F7iMIgiAIgmCU9JMHcv/McVxmc1WdAXBT/185KdgjlSzZfMyXh5UivTyFt2pRdQO3IudVpJx98ZgPaowkkDMPFOD3QW2bsBWpFTVbIbq9bStgu0lfvMdbK8wa80HNebOgALcPimUeURUowao9r1qVJy07xVhTrARkUB9UHpGr6BTy0vTaG9ExC0BEXgXg3wI4DOBOADvRCxq3TZ8DiFV7QRAEQRCYLEOz+XGuB/CbAOoAXgzgjegFjW9ayk6WNJESkXFVnVvw/dmq+tBS9jF0ypIjlUh1oR6pFKvvnKuB3GOB//VIszKPHJDlOiXwQbEsKABY07T74l3UtFthbhq3T9xT89Nm7Y7WuWbth9P2auIjLVvlmiU+qPl5e5zUAwVQHxToCrvhe53cao1TdaLkyEpyq1XUB+Q83ihIkcIevfZGzQ9V9e/7X/+NdyeL+rMpIu8WkXsAPCwih0Xk6yLyMgB/n7VtEARBEAQVRh3/qsE3ReS3RPIlvC4mR+r3AFwK4BXHYw9E5LUA/gKLzFhIid1rj2xUthUfVCFyeqQKzpHKpXJ5PVLOK0Tv6jtWE6I6cR+UrTqtmrRXyQHAOU3mg7ITyqdIHtTOln1y7p5Za9Yem7bzoGZm62aN5UF5E8iBHHlQTFnyZkWxxZfs96Zg/1DWflPkSCVRZMqWzZTivBWIaMnUseGyFcA2AL8nIrcDuAPAHaq6JHVqMbf23glgm6r+6BNfVb8qIq8G8MmlHCwIgiAIgoqx/HKkAACq+iYAEJEm/nlS9VIs8TbfojxSCydRCx57TET+ZCkHGzqs116qFG4vXtWFqSdF50gl6O3X2693SaPvpNJz6vRBsZV5zAd1EvFBrZm0PVBAhg+qbv9qH5p/xqztbG82a8wHdbQ1YdbabZIHRVQnZSvzmAcKcK+i454domSVbPWdZ5+Z+02gLLkztry+ykTJ5stYsemxzJ9fP4ng9v6/JbMYj9R9IvJzJz4oIh8C8L89Bw2CIAiCoBocv723lH/PJxajSP0agL8TkXcA+D6AFQDegN69xHvSDS0IgiAIgpHzPJkYichaAE8OPUdKVX8oIj8B4HUAtgA4CuBXVHVn34g+Ulxmc4a3vUKq+AMSyMmM6EUbypm2mXXrzn1b0Jmu12URBzT+wBus6TOUv2jqcTIYYGvDbnk5IVNmbQcxeN8z/QKzdpAZykmw5vzc8A3lNFQzq85uCyYI3fQu46e3oRK1iEliDHfXfH+989y+o6QwhlfhduHzS2H6PIAXicjfqer7FrvRYj1Sin7D4hMe/+iShhgEQRAEQbVYxhOphfmYqvpqEdkIwL4SHUD1k80dZnN3/EEik7rX4J0ijiBFQ+NU8Qfu5+iMOKgRRarRsBWpk0lz4bXNI2Zta9Nu5QIA59btWIGDxFC+q3WeWfMayjuz9kcJVZ28hvKsNukJ1CNvixhaY+kmbDv2/maHy2E296pOfnM/OZ6XPC1iCFQFY69xBeIPABQ+FhG5GMCfAZgEMAfg11T1O/28p0+gZy+aBvAOVf2u8xjvBvA+AKf0V+19F8DvA/ikql6ylH1VfyIVBEEQBEEyRnBr7w8B/IGqfkVE3tD//mcAvB7A5v6/lwL4VP//JTHsfMzKT6TM5rzklacNfVPhfCd6gzXdviPamJeNxX+p521L4454YBEHdeaDsmvUBzVh+6DObR4ya9uIBwoAJsRuBnx3x1arWLDmoRl7n9QH1SExBqTGVCcenJnhkSpYkeI18n5jPkevAkQ2S+WRSlHzqjyp1BPvZMK/nbFhmZSqdCiAU/pfrwRwPGH4CgCf69uNbhWRVSKyVlUPLHH/Q83HrPxEKgiCIAiChBQ/eftNADeLyB+hdwn/L/qPrwPw8IKf29d/bKkTqaHmYz4/J1KVCuRM0CLG7XViV9a+sWQd033eiOqkdWewZmPOrDEf1FlTtg9qy6Ttgzp73G7lAgAH5o6ZtV2tLWZt3/Qqs3Zkxm4w7PZBeVffeX1HWft1hm6m8AG5VSfnyrR0LWLI75Q7rJN5GX0fDCNZ0efdrizKk3/V3moR2bHg++2quv34NyJyC4BBy4SvAfCzAH5LVf9ORH4ZwH8H8GrXKAZzn4j8nKp+eeGD/XzMa8DXbz+H5+dEKgiCIAiClBxS1UutoqqaEyMR+RyA3+h/+zcAPt3/ej+ADQt+dH3/saUy1HzM6k+klnvTYm+rG+9qv4JX9OU5JrtM6rJ3NlmZN0Y8UpOknctpk/YquY1NOw9qW+OgWatlrMDd01lp1lgeFPNBtUiD4flZ8kJRH5RdYqvvvM2FgRyrwRKsMKPH86pOiTxSafKgfDXa7HlJesGQcCpyjMrkMxU/zkcAvALA/wHwKgA/6D9+I4CrReQG9EzmRxz+qKHnY1Z/IhUEQRAEQTqKn0i9G8AnRGQcQAvAVf3Hb0JPOdqLXvzBO70HGGY+ZrUnUpVqWuxbZkL9RV71yKsAOceS1dGRea/cz58oS9JI4INqHjVr2ybt5sJnj9uq04H5abMGAHtaF5o15oPy5kF5VSfv6juu8mQtBWXbFlvjKhd579MPMXI8xgiSzd3eKrbakZwbek7JB1xmc4qis5RKolYJih+Lqv4jgJcMeFwBvDfv/kXku1lZUYv5meMUNpESkcvRC9IaA/BpVf2I8XNvAvC3AH5CVXcM+pkgCIIgCAqiJJO6IbJFRHaSuqAXu7AoCplIicgYgOsAvAa95Yq3iciNqrrnhJ87GT2D2bcXu+9Ce+3Rgfj361aPktR86pB7tV/GfqnqRLxOzAdVS+CD2jT1mFnb2njCrLFOBHtmTyXbcR/Uk62TzBrNg2I+KJJCLqzm7m3n3A451Cz2Vk3grXJ7i5w5SvmSzZ1L3grOmHKTZ59uhdAbllUgy7PX3gWL+Jms/gk/oihF6jIAe1X1fgDoG8WuALDnhJ/7TwA+CuB3ChpXEARBEASM5TeR+hCAd6uq7ddYAkVNpAaFaD0r1l1ELgGwQVW/LCKLn0gNudeeuy9Sqj58Xj8TI8WqvTw5UmwFDlPIWEK50wd1ymTbrK2fOmzWtk7YK3DXjdmq037ig7qztcmsAcAjM6eYNeqD6pATThQpqjp5V9h5PVJZH+xe9ci9am/4AUVJ+rCVzSPl9Z0xUqSl59gvw3PeRqJTLb+J1MMAviUib1LVB48/KCIvBvCbqvqrS9lZKczmIlID8DEA71jEz16FvoO/fjK/9REEQRAEQT6W2609Vf2PInIrgFtE5DcA1NFLUz8ZPS/3kihqIpUVonUygIsA/J9ec2e8AMCNIvLzJxrO+8mo2wGguWaDuQiD9dPzZkzleS/RRXtOpcebJp5m1R5LISbbAdTPRH1QRJEaI4pUk6y+Yz6ozU0782lr4ymz1oWdUL5n9nSzdv/MGWYN4D4olgfVnSUvCFOWqA/K3iV7U/kVIHI8ZKwGLFg98R7Pm3rOyJNs7t4uQbJ5CnJNFlLcrbD2OYpJzTKbSPX5JnrRB/8fgIMAfllVv+nZkbdd7FK5DcBmEdkoIg0AV6IXrAUAUNUjqrpaVc9R1XMA3ArgOZOoIAiCIAgKRJ3/SoyIfBLALgDH0Avk/DqAXxcRnoJsUMhESlXnAFwN4GYAdwH4gqruFpEPicjPFzGGIAiCIAiWjujS/5Wc7wO4QFXfr6r3qOpbAXwLwK0ict5Sd1aYR0pVb0IvlXThYx80fvZnFr3jIZvNk5nG3fEHzluUzogD73Zew3j2eEhgH4kxSGEo3zb5sFlbP263Xbmvw5oL27+zzEwOAE+TGAPaYJgEawqrsdt+KZax52la7N2vcztvG5jCl/9nxh+Q3zf3WH1GfJn3PUn37dKMz35vG5hKNCbOoirjXCSq+ucDHvtjEfkeevMUvtLnBEphNg+CIAiCoJxUQGFaEiJytlHaC+CdC+qHVdVuW9Gn2hMpZ4sYd/zBIobk2piNhyg97siBJBEHTsM4QM3mqJNgzYadl8aCNVc3bYXo/KlH7Vrd/n3qqG0o3z17pll7gBjKmZkcyGgwPEdeLKIs1WwhjzaRdf9ueM3dOeIP3IbyoqMBnK1OKCOIP3CfG6ci5SbHuUkx0SjV5KVMYxkOn0XvWQ36RTr+uAL4DIDPZe2s2hOpIAiCIAjSUQHz+FJR1VcOc3+Vn0h5WsS44w+cbRmy9uuOPyi4tQxdmkA9UqQGUEVKxokPqm5LJCubLbPm9UGtJT6oezt2bMJdLbsbwSPTdjsn5oECeLAm90EliDhw4lYyMpoWp2jL4g6PLDhSgH0uuH0+SOSDY56sBIoUVfloRk0G7teD7DLHazVM2I2foEflJ1JBEARBECSkHHO60lL9iVSBHinPMBZ1zCShm+zKi2znDMekK+8yPFJCgjXHierEgjWZD+qC5gG7VreVpbbaCtGe2TVmbe+07ZE63La9Ve2O7YECgPk5IgMmaOfCPFIpmn27mwsDSTxSfj8Xkx18J44qKzn0gzSqk287mScnNcFKuCy1LslKyYJ9V0Eaqj+RCoIgCIIgGTGp41R+IlWkR4qOI6PObr8naQZceI2cAeJzAoCaMw+K+aBeOPWkWbt48iGzduaYvVLurlnSYHhmvVl7rHWyWaNZUKy5MIAu8UHxVi/2ZrTGFCLvJy1rH+NVjrKG41VISMuSFDlS3ga73tymzHrBalWtk8CUlyNHipFkolGmyUuZxlJCKj+RCoIgCIIgITGRolR/IrUcks1ZerlzNVyKzCdvA+FahiI1Nm6bb6Ym7DyoM4gPauvUI2ZtU91Wsqa7ti9p1+xas/bA9Gqzdrjl80FRDxQAkKwo6oNiOVKkxq/mfQn8SRLIM+pp1KMEf2mS+ID8dW/NrQB2mCnPt0/69HOpdeyJMNU1jddtqGjc2sui+hOpIAiCIAjSERMpSrUnUs5kc282E72yIptljsedXu5dmWfXvD4oIWpVLWPVXoP2xfP5oFge1Grig9o9O2PW7ppZZ9aYD+oZkkDOfFBdsvIOQIYPiilS9i7pyjwCe5+m8Svx8fjzqYZfY3jVk1S99lL8wXT7ztq2Gp1iLN4V25k41UpzrCOY1IQixan2RCoIgiAIgrTERIpS+YmUZ9Veil57mVczLBIlRe87r8rF1CNnAjnLggKAJumLx3xQF07tN2ubx+19TpOr4F3ts8zafQX7oJT1y0OWD4ptR3bqVVZIze2RyuMRKtrPw36/vSq31+uTZ3FlitfDuYpQjtnqcJpsLn+96IypoglFilP5iVQQBEEQBIlQlGpSV0aqP5GyFCmnysPIcw9dvOqRs0ZznZjqxHxQRHViK+8adRJOBGCl1wc1sc+snTo2ZdZ2ztrHY3lQB2dsH9R0Ch9UpkfKLrHMJ17jh7RwLuij5Ont51WPkihkCVLfvV7OPHBFhnxuOF+LuYft32+8xFaOKYlypNy99th7vEwmqYIPKSJvBnAtgC0ALlPVHQtqHwDwLvQ+AX9dVW/uP345gE+g1/n106r6kaLGW/2JVBAEQRAESRCM5NbenQB+EcCfP2ssIlsBXAngQgBnAbhFRM7rl68D8BoA+wDcJiI3quqeIgYbE6kgCIIgCGwKnkip6l0AIM+Vs68AcIOqtgE8ICJ7AVzWr+1V1fv7293Q/9mYSC0G63ab93ZCEhkeGbcFvbf9vJEKTkN5jYRu1omhfIo0FwaANc2nzdqFTVve30SOeaxr3767o2Xfvntw+nSz9vTshFlrd+xfJbehnLVkQYbZ3Nl8mN9qILUUy/jzmHu9oZvu+ANvIKO92SjiD5Lc2nTWxl9gNwJnjCSQs0zbJSBJ4KyPdQBuXfD9vv5jAPDwCY+/tKhBVX4iFQRBEARBIvxm89UisjvrBkwAACAASURBVGPB99tVdfvxb0TkFgAvGLDdNar6JdcRR0T1J1JDbhFDwzpTGRXZId0m9eEbymtjtpQxQQzlKydsdQgAzpl6wqy9eMKOOFhZsyMHbm/bKtjdM7ZR9fGZFWbtWMtWpNyGcmcrFyCH6uSs0cUNKZaGE9I1LXYu1WfxBxmdfjzHc5MoNsJdI0qenmwH56ZokZO1mKjo+APrPTWKKALnMQ+p6qVWUVVf7djnfgAbFny/vv8YyOPJ4UE1QRAEQRA8v1HHvzTcCOBKEZkQkY0ANgP4DoDbAGwWkY0i0kDPkH5jslGcQKUVKRVfIKe7RUyiJcfugExn82HeYNiuNRrEB0VCNc8kHigA2NJkDYbt8Rzp2oF9u9ovNGv3k2DNI+1JszZbtA8qS5Fi9RStThKE3DLcfp2MepJAzgQeoRTtTPKETlJS+KcadqQIH4vv1kEupafo+Itljoj8AoA/AXAGgC+LyB2q+jpV3S0iX0DPRD4H4L2qOt/f5moAN6MXf3C9qu4uaryVnkgFQRAEQZCWom8nquoXAXzRqH0YwIcHPH4TgJsSD20g1Z9IOQI5R+KRcm7rD+Qkh3MGa07UbdVp1aStDm0kHigAuJgEa64gPqjvkKamu6ftBsPMB8WCNeeID4qqTk4fVGYgJanXvCv6nK2McjX0dowl1eozd5AnW7XnVEFyrTBLgVut84V16ngC50ku1cm5sfPcqHvpeQKex+rYYqj+RCoIgiAIgjRo9NrLovoTKcek3dvQOJdHivmgvDXiZwJbfefMgzqJ+KDWTPqyoABg47it9Dw1P23WdrXONWs/nD7NrB1t2T6odttWpLpE5VHqV2I+KLtEmwsjQ7FJ4JHyqjwjyZFKoDrRfWa8Vi4SqHz5vGXOF9m7as+pSLlVvhy4c5boa1yi2UuJhlJGqj+RCoIgCIIgCSNqEVMpKj+RMtUldjFDFSDnUpmsS0QmWJAVdmz1HasJUZ3S+KAOmbVtjQNmDQCmaqTBcMtWq/ZM+/KgponqxFbfdZkPimRFcR+Ur9arl6dGfzVSrFrKk0LtVZ28GVNFr9rLoeTlWilp7ZMqp2xVsv375m1onWdC4D43y2HVXnmSzUtJ5SdSQRAEQRCkIxQpTrUnUgJbXXJePXP/VJ6wKFJiK/PYK0QVKfsEMB/UyaQvHvNBbZm0s6DOrfM8mEPzz5i1ne3NZo35oI7M2D6ozqx9UmkKuTcPyplATpUTpFGWkmQekV0y8iRJe1eRedPL+aq9BJTsD5v3ozFFVlbZzk0uZXVY2+QhbcDmsqDaE6kgCIIgCJLivZX6fKHyEymPR4r6oBI1zaEXJVSR8iWUu31QE8QH1SQ+qAnbBzUhpGcWgG93bMWK+aAOER9Ui+RBzRNlyZ0HxbxOzhV9maoLU8GcK8yoskKlXLJPu8RJ5ZEqOKGc+UuoIkPO92hW7bHtvCof+yz2vd8oebw+3tWeTkp1O61MYykhlZ9IBUEQBEGQjlJN6kpI5SdSlrpEr9a9yeZ5YMckyhKrMR8U64tHfVDNo2btoubDZm3juO1JOjB3zKwBwK7WFrO2b3qVWTvamjBrs8wHRRLK2eo76llyep3cXqZU+02g1qTwSOVJNk+Tel6ivzS5vGXDX5lIk81ZjhRTpAju92meIHHnqj23ylckivKMpaRUfiIVBEEQBEE6QpHixEQqCIIgCAKbmEhRqj+RcjQtdjc0doxjMfWuM+JgnMQYeA3lm6YOmrULG3atLrbx+57OKWYNAH4ws8asMUP5TLth1rqz3tt3KYI17cPRK71E8QfeW4JuAzfZjJLjFlXRZvMUV+xJWp0kM5s7a+z9VnDT3lxhpYwECxGKJJLNs6n+RCoIgiAIgjSohkcqg2pPpAREkfJFHHgbGmcZFWmrl7p9WSakVm/MmTVmKD9r6ohZ2zq536ydPd40a/uIoXxX60KzBgAPPXOqWfMGa2rHGWPgbT5MVZ4E2yFPIKfvKpgv1bdrbhLFH3ibFlNDufOcutuujOLvWgolz2nS56Z4522FLAHMG/LqxTo3MacpHdWeSAVBEARBkJS4tcep/ETK8jvRnp7e+AOicmUqUixYk6hVNRJjMNmwfVCnTdptVzY1ba/T1rodulmD3Vz4ns5Ks/aDmTPNGgA82bIDO2mw5mwC1YluZ2/GlSyyXZ74A7cKkGCfKfw8hFTL+P1L/Pl4XHjVkxzKSQofEPcBks/UsWI9UqNQegp/T3kp01hKSOUnUkEQBEEQpKNUk7oSUumJlMLbIobUiDqUJ8iTKlKN4TcYPosFa07awZpnj9uq0/75abO2q3WRWWOhmgAP1mQ+KBBFStjKPLr6zt7MXXN7cuxarv2mWH2VYtUeI9mqveErWQy3kpfiOWTgbwRN/GPz9htVx31/ntz+qVz7de+22H16UFDlMKj4RCoIgiAIgsTEPIpS/YmUtWqPbeNd0ce2I7FFAHiDYaJINYnqRH1QU4+Zta2Np8waiA9qz+zpZm3vtJ0FxTxQQCIflLPVC1eInE17qSfJ35g1SY6UW3Wwn0eSz+AcmT9JWsQkUCuSrATLwpl5xEjSWqdsf9i946GrPQfXCnaO9Y5ZtvNdMlJ1lnsOInK5iNwjIntF5P0D6r8tIntEZKeI/G8ReWFRYwuCIAiCwOB4ltRS/j2PKESREpExANcBeA2AfQBuE5EbVXXPgh/7HoBLVXVaRN4D4A8B/Bu+Y7Jqj10gJlCdqLcKAJx5UKdMts3a+qnDZm0b8UGtHbNVp4fmbB/UntYms/bIjJ1e/jRJIAcyfFAkD0pYjTURplfITiWLrkxix/PVALhVsMz9Oo5XtEcqU61JoDql8EgV7a3Jk97tPjdMdZr33R2gpHid8m5rkCJjLAVFK1Ii8mYA1wLYAuAyVd3Rf/w1AD4CoAFgFsDvqOrX+7WXAPgMgCaAmwD8hmoxM7qiFKnLAOxV1ftVdRbADQCuWPgDqvoNVT3+V/xWAOsLGlsQBEEQBINQ57983AngFwF884THDwH416q6DcDbAXx+Qe1TAN4NYHP/3+W5R7FIivJIrQOwUCLZB+Cl5OffBeArgwoichWAqwBg7NRTTb8TtSyw6aNXdRrnl/nMB+XNgzp/6lGztrVup5d3YSeU7+msNmt7SR6UNwsKAOZZCjnxOtVsIY/nOjFSrL5LpHJ486DoduS0JUk2d+YhjcQj5fCz5CLBSsBUKod71eo8k44JCXxnmtHbz/077sQca8G3zYSNJRGqehcAyAmviap+b8G3uwE0RWQCwGkATlHVW/vbfQ7AG2HMI4ZN6czmIvIrAC4F8IpBdVXdDmA7AExs2FAi8TMIgiAIliFeO0Ba3gTgu6raFpF16Ak0x9mHnoBTCEVNpPYD2LDg+/X9x56FiLwawDUAXqGqtjnoRxsQdYlNsVjfO6Y6kRrriQdwH9TKZsusnX2SvcKO+qDGV5i1+zp2X7w7Zy4wa49M2+nlzAdFPVAA7YvHVt+508TpYMh23pVwxHeV6yrXrZ64dunOLtIELqk85yZFHz5G4SueUvmAEihdQjxSWQqRuU/yOim545BLdfFu6/RWFo3z3KwWkR0Lvt/eF0J6+xS5BcALBmx3jap+iY5H5EIAHwXwWs/Ahk1RE6nbAGwWkY3oTaCuBPDWhT8gIj8O4M8BXK6qdg+TIAiCIAiKwe95OqSql5q7VX21Z6cish7AFwG8TVXv6z+8H8/2VQ8Ua1JRyERKVedE5GoAN6PnQrpeVXeLyIcA7FDVGwH8FwArAPxN/77oQ6r685n7dtjlqerEVu0RH9RYhiLF8qBWN22F6ILmAbtWt/1THZ00a7tmB10E9Lh/xvZIHW7b3qp2h2RBzWW8SKTOFSmyzxT+kgQ+KHffuxzb0uyeGjnfTo+UkMG41ao8al2K1yOFWlX0KrEc27pztLoJZJeSrdrznjd3xtbQ0dLEGYjIKgBfBvB+Vf2n44+r6gEROSoiLwPwbQBvA/AnRY2rMI+Uqt6E3pLEhY99cMHXrtlpEARBEATpGEH8wS+gNxE6A8CXReQOVX0dgKsBbALwQRE5Pn94bf8u1q/hn+MPvoKCjOZACc3mS8ZSkNiFLlWd7FrNmQUF8DyoF049adaYD+rMMXul3L0dW63aM7PVrB2Y8fmgZmdt80G3w2Pfmdep5lWk6AFJza1k+HxQbrUqx7bUQ+IUiLy+K6ZWeY+XWae1glfmeUmwKjHXtl61ivTaY7jfb+y9nyMMKMlEw1y1l+BYWRS/au+L6N2+O/Hx/wzgPxvb7ABgN31NSGHJ5kEQBEEQBMuN6itSQRAEQRCkQXN0Q3ieUO2JlMDU1JRprSzGgBnKx+17ScxMDgBnTj1t1liw5vn1GbPWVvtW2672WrP2ADOUt7yGcnL7jjUQzqjTW1Qs/oC8/uz2lff23Sjah6QIAfU2Jva2iHHfMMhlmvZFQ7gb+hYcKZDPUO28tZniebhvM/siFbImC+5bu8w0PoLwVBdluq1dQqo9kQqCIAiCIC0xj6JUfCKldpSBU5GqEUWq0bAVKWYmB7ih/MUTtqF8NTGU75611ao7Z+xWhQdIg+FnSDuXDjGNK4s4YEoOuGlcWBsY2uqEyU6klGKJu7dpcR5jsNdszlyTToMzN5uT7fJIWSnUHK/BOwHuFjgjgCo5ztBNrgA6lePMY5KaMwCXq6PleSHLNJYyUvGJVBAEQRAESYmJFKXaEymBHWVAIg6Y6jROfFBTxAe1hnigAB6seX7dVrOmu/ZLtKt9lll7cOZ0s3a0bYd1en1QynxOGR4p5nWiNaey4m4Rk2RpOKnliT8ouMYDOcl2Xr9aomX8VVJ6THL80Utx3qiSSwJgU5CvDQzbr3Of1ANakvgDRana1ZSRak+kgiAIgiBIhkDj1l4G1Z9IGcqTkGDNMeqDIs2FJ+3mwswDBfBgzVPHpszazln7mHe1bEXqsZmTzdox1mCY+KC6TFliHim2ug4ZHilnjeFVQZJcleUJT2S+DBoC6nQtFb3CLJFHKs3KvATBognOd64WMd73FKvVfFGGXnWU79S5XRZDf0+NYFITEylK9SdSQRAEQRCkIyZSlGpPpMRWnlge1Hid+KAaHbN2xqTdXHhL8xGzBgDn122l61jXHs+u9jqz9sC07YM6Qn1Q9svOfVBsZZ5dylKOeFYU2dDr52CDSeCDSNIkN6ue4Jhe9YSKTgm2y6y7V1HxY3r2mUIGyeXlKthbxnKdWI3Bj0c2HMF7ilKWyUt4pDKp9kQqCIIgCIKkhEeKU+2JlChkbPBUmaWQTxB1aOWE7Uk6Z+oJs3YxyYICgJU1OzH8jra9am/3tK1IHSQ+qOkUPijv6ro8HilvzpJ3RV8ehWjI+8yjunjPm1vN8K7aS6AcZpGnqe/Qt3PuM8lzyID+MaXp3cwj5RwMO547nCwDt7Jkl+jvorFqbySrR2MiRan2RCoIgiAIgoRoTKQyqPxEqmaklNeZD4rkQZ3RtH1QF07tN2ub6vyNdqRrp5DvbG8waw8m8EF154efUM4VKXuXAO9hV0uwMi+FD8R7vHQ5Uk7zkbfGVkJ6k9TZ4VL5x9j7jakgJSKPYpHifUxfC+eqPS+5Vi0W7YMqy+RFUZ6xlJTKT6SCIAiCIEhImM0plZ5IidheqBQ+qG0TtiK1omarQwBwe9tWwXaTvniPt1aYtWeID2quYB8UXbWX5fVxZkW51YwEPfPcmUe5cqScNboyjbz+KZ5HIk+Sd/Vdiu0o3j50XsUxwyKUJr3fLqZYmcdXkBavrLjVYSvZfASE2ZxTrK4aBEEQBEGwjKi4IqWmF4rlQa1p2n3xLmruM2ubxu1551Pz02YNAO5onWvWfjh9mlk70rKVrtlZkgc1b4/V64MCVY58PfGy6tRf40wodyebez1CJcuR8ict+1LP/RlDdi0XXoWAQVet+XaZIrdKMyWp4Y+HnpsUl/Is8T9Pbz/va+xVh7vGhqNQh0KRolR6IhUEQRAEQUIUlVloMSpiIhUEQRAEgUHEH2RR6YlUTRSThql81aQdN3BOkxnK7VYvUyRUc2fLNncDwN0za83aY9O+YM05bzsXb7Amiz8YQYsYIU8xRdBj0WbzLIOnO5DTa7ZPcNvPS6b5NcVS/RRBpk7c7UoyXgx6648a8X0m/RTQ28U5lBV/WG2CINOiKdNYSkilJ1JBEARBECQmJlKUSk+kaqI4qTE4VmDNpNNQXrdPyaH5Z8zazvZmswZwQ/nR1oRZm51lMQbEUE6jCnyGcmqapLUMg2cCM7bbbO41vrO2MynUkYy6v8FqxjFd+0ygZGXGH/i2HUn7jSFD36dcOOf7TbGAwRl/4Dbw+zbLPKY3HoCe03nLbO46lJ8ReKRE5M0ArgWwBcBlqrrjhPrZAPYAuFZV/6j/2OUAPgFgDMCnVfUjRY034g+CIAiCIDBQQLtL/5ePOwH8IoBvGvWPAfjK8W9EZAzAdQBeD2ArgLeIyNa8g1gslVakxmpdrJoY7IV60dTj5nZbG4+atQmZMms7SMjlPdMvMGsAcJD4oGaID2qe+aA6ZB5MQje9DYbdvps88QcklI6FR9Lrp6KDJROpI9wj5fOzuCMOSNHbQJmmTeS4QObKive8DV+RSNHmKFPNYMd0v6dY/MHwr+W9AZhZ4aBJVCcr4oDWln/8gareBQAy4DURkTcCeADAwltElwHYq6r393/mBgBXoKdaJScUqSAIgiAIBnP81t5S/yVARFYA+D0Af3BCaR2Ahxd8v6//WCFUWpGq1+axpnl0YG1r027ncm69btYOEh/UrtZ5Zo15oADug+qQYM0uU52YD4pdzqbwOo1g1Z5b6WFj8a6EK1rJyrutgTs8k+00xWdqnn0m8Yj5FDnvPhlMjcz0JJET4A/kJDV2KU+9jOx82zWmOuVqg0K9nGzVnl2SsnikAO97cbWILPQ2bVfV7ce/EZFbAAy6lXONqn7J2Oe1AD6uqscGqVWjotITqSAIgiAIEuObSB1S1UvtXeqrHft8KYBfEpE/BLAKQFdEWgBuB7Bhwc+tB2CrKUOm0hOpCZnDuc1DA2vbqA/KbgR8d8dWq1gW1KEZe59Ahg+Kep2ceVBUPUrQmNiZMZVV91/ND3+7XO1crH3myN9J0nomhZKVYOVl1rnhbYCcuT6M3N7apZFrtacX6vVx7jKFqMA+T9iTSGV08a72K41HSksTf6CqP338axG5FsAxVf1TERkHsFlENqI3gboSwFuLGld4pIIgCIIgGIyiN6lb6r8ciMgviMg+AC8H8GURuZkOUXUOwNUAbgZwF4AvqOruXINYApVWpCZrHWyZHKzenT1up5AfmDtm1na1tpi1fdOrzNqRGbu5MMB9UHT1nXOFnVtZcfqA3P4hoHAVyI07EZwUE3mkvCuX3Cv6CNSz4032yVLrfHvNkT9Vjit2IMMjlEMC8q7M402UnThXXlIyvJzUX+Y9JptwVN8jleNw+kUAX8z4mWtP+P4mADclHJZJpSdSQRAEQRAkpkQXCmWk0hOppnSwrXFwYK0GOw9qT2elWWN5UMwH1Zq1vVUAMD/r80EJy4MitRTp3Yw8+0zTF86uefOJeDaTUx1M5HXJWinpOaZ31dYocqSSZDDRA5bnD02qdHauLBIKPjfucWasAlPnm4P6IElOHuYG95EdiUeq4GTzqlHpiVQQBEEQBAlRQPMnlS9rKj2RakgNZ48PVp4OzE+b2+1pXWjWmA/KmwUFACCKlFd1oqoDW0bgXWHnvcrP+h1M4L1K4b2okfPtFYByqU5uH5T/mK7jpfgMzlI5iCTF31PVUF3o+abdAPg4lf2Su3PU2C9VgmV7Ti9bln1MyFjptkzNYeMpk0cqoFR6IhUEQRAEQWLi1h5l2U6k9syeataYD+rJ1klmjfmgqAcKgJCVeVyRIvskypI6E4rZSkAd86U3Z3qknL4k/9osH96UdW8eUq7Vju5UbO/x7Fptzqvy+DYbyX5LdOfD7REC0qyGKzpjy1JykHFuMtQxFfIZ703ZJmNF1/rAGcGkpkQewDKybCdSQRAEQRDkRDV3LtRyJyZSQRAEQRDYhCJFqfREqqNd7DdM5Xe2NpnbPTJzillzG8qzbu3NOs2v7LYfu9XChkNv7ZHNvPtMZDZ379O5XY3cZi0d3ls03sBG7xJv70r1LK+5b7dJWv148TdQdtYySBWr4MHbWknmyAfKWMatvXFiz/Deop9nK1iM2iju7IUiRan0RCoIgiAIgpRoKFIZVHoiNaPj2DN7+sDa/TNnmNt5gzW7rCULqwGoEUWKbscMzuwigeWDpmr14thn5n5L9Ptb6ziN76laxDDKdN5my3U1W6Z2LimgCmAevAsYij7fRD2RDvtAHeP7TbDuhRnj1TTGjyBqI1btUSo9kQqCIAiCIDERyEkpbCIlIpcD+AR60/5Pq+pHTqhPAPgcgJcAeALAv1HVB9k+Z7SBXa31A2sH27bqxBoM0+bCLMgyQ5Ean7Hr85Pkfj/zSLF+l4nUI3O7iqhKWbDnMd6uzhMp2s+SJP6AUbaXokwqV6qxlCeJhMM+wzrE6JjhkUoCC+S0aiMQpGx1LAB4/vXQEJExANcBeD2ArQDeIiJbT/ixdwF4SlU3Afg4gI8WMbYgCIIgCAxUe4rUUv89jyhKkboMwF5VvR8AROQGAFcA2LPgZ64AcG3/678F8KciImpOy4GZ+Tp2Pb1uYO1Iu2kOZmamYdbmZ+375EpCNccyPFATT9q11mp727E22alzhRlbmce20449zlqH7JN6i7iaMUa2dXuW2Fbk+deP2sVax37fMEWGnrcMWXGMbUt8SV7Pyhh5/VnQ4di0PdCxjv27yF7DLJWLKmTsPTXrbPYzaz9Hdjy6Epa8hb3PoUY+3/o/QbZlHypksOTcSMf+E8TGyrxFbJwyQz5QM0I1a3Xyt2GMrOhj561lj0eNGvmTmIxQpDiFKFIA1gF4eMH3+/qPDfwZVZ0DcATAYCd5EARBEATFEIoUpXJmcxG5CsBV/W+P/eXLrr9nlOMZMqsBHBr1IBKxnJ8b8LVl/fzSPbdvJ9nrUkj/uv0g6d6ziPdlNWHP7YVFDuRpPHXzLfq3qx2bLtfX5jkUNZHaD2DDgu/X9x8b9DP7RGQcwEr0TOfPQlW3A9ieaJwjRUR2qOqlox5HCpbzcwOW9/OL51ZdlvPzi+dWDKp6+ajHUHaKurV3G4DNIrJRRBoArgRw4wk/cyOAt/e//iUAX2f+qCAIgiAIglFTiCKlqnMicjWAm9GLP7heVXeLyIcA7FDVGwH8dwCfF5G9AJ5Eb7IVBEEQBEFQWgrzSKnqTQBuOuGxDy74ugXgzUWNp6Qsy1uWfZbzcwOW9/OL51ZdlvPzi+cWlAKJu2dBEARBEAQ+ivJIBUEQBEEQLDtiIlUgIvKgiOwSkTtEZEf/sdNE5Gsi8oP+/6f2HxcR+W8isldEdorIJaMd/XMRketF5KCI3LngsSU/HxF5e//nfyAibx90rKIxntu1IrK///rdISJvWFD7QP+53SMir1vw+OX9x/aKyPuLfh6DEJENIvINEdkjIrtF5Df6j1f+tSPPbbm8dpMi8h0R+X7/+f1B//GNIvLt/lj/ur+oByIy0f9+b79+zoJ9DXzeo4I8t8+IyAMLXruL+49X5n15HBEZE5Hvicj/6n9f+dctQC8lNf4V8w/AgwBWn/DYHwJ4f//r9wP4aP/rNwD4Cnr5xi8D8O1Rj3/A8/mXAC4BcKf3+QA4DcD9/f9P7X99akmf27UA3jfgZ7cC+D6ACQAbAdyH3qKKsf7X5wJo9H9mawme21oAl/S/PhnAvf3nUPnXjjy35fLaCYAV/a/r6CVxvQzAFwBc2X/8zwC8p//1rwH4s/7XVwL4a/a8S/rcPgPglwb8fGXelwvG/NsA/grA/+p/X/nXLf5pKFIl4AoAn+1//VkAb1zw+Oe0x60AVonI2lEM0EJVv4neCsuFLPX5vA7A11T1SVV9CsDXAIw8t8R4bhZXALhBVduq+gCAvei1RfpRayRVnQVwvDXSSFHVA6r63f7XTwO4C73OApV/7chzs6jaa6eqeqz/bb3/TwG8Cr3WWsBzX7vjr+nfAvhZERHYz3tkkOdmUZn3JQCIyHoAPwfg0/3vBcvgdQvi1l7RKICvisjt0ktoB4A1qnqg//WjANb0v15MW50ystTnU7XneXX/NsL1x299ocLPrX/L4MfRu/pfVq/dCc8NWCavXf/20B0ADqI3SbgPwGHttdYCnj1Wq/VWKZ/fic9NVY+/dh/uv3YfF5GJ/mNVe+3+K4DfBXC8f8rpWCav2/OdmEgVy0+p6iUAXg/gvSLyLxcWVVXBr8AqxXJ7PgA+BeBFAC4GcADAH492OPkQkRUA/g7Ab6rq0YW1qr92A57bsnntVHVeVS9Gr0PEZQAuGPGQhsaJz01ELgLwAfSe40+gd7vu90Y4RBci8q8AHFTV20c9lmD4xESqQFR1f///gwC+iN6H4GPHb9n1/z/Y//HFtNUpI0t9PpV5nqr6WP+DvgvgL/DPknrlnpuI1NGbaPylqv7P/sPL4rUb9NyW02t3HFU9DOAbAF6O3m2t47mAC8f6o+chz269Vernt+C5Xd6/Xauq2gbw/6Kar91PAvh5EXkQvdvErwLwCSyz1+35SkykCkJEThKRk49/DeC1AO7Es1vjvB34/9u7d9aogjAO489biJfKCxaChQZsxGxlYSFioQHT2QUCgvoBrCVgZa2VpZWChSBoJ2gES0HUmKDC2vgJtBYZi5mwhzUbT6bI2cvzgwO7synOy3tI/uzMZHheXr8ArpWdKeeAX41pl3G203peAgsRcahMtyyUsbEztEbtKrl/kGtbKjttTgKngHe0Oxpp15W1Fg+BLymle42PJr53o2qbot4djYiD5fV+4DJ5Hdgb8tFa8G/vtjp6a1TdnRlR29dGuA/yGqJmztGpBQAAAZ5JREFU7ybiuUwp3U4pHU8pnSA/S6sppWWmoG/CXXu7dZF3/3wq1wawUsaPAK/JZ8S/Ag6X8QAekNc/fAbOdl3DFjU9IU+T/CbP1d+sqQe4QV402Qeud13XNrU9Kve+Rv6Fdqzx8yultm/Alcb4Innn2PfNnnd9AefJ03ZrwMdyLU5D77apbVp61wM+lDrWgTtlfI78B7UPPAX2lvF95X2/fD73v7rHsLbV0rt14DGDnX0T81wO1XmRwa69ie+bV/I/m0uSJNVyak+SJKmSQUqSJKmSQUqSJKmSQUqSJKmSQUqSJKmSQUqSJKmSQUqSJKmSQUpSaxHxLCLuRsTbiPgREZe6vidJ6pJBStJOzJNPrL8A3AKWO74fSeqUQUpSKxFxgHx46v0ytAf42d0dSVL3DFKS2joNvE8p/SnvewwOkJWkmWSQktTWPPkQ4E098gGzkjSzDFKS2hoOUmfwGylJMy5SSl3fgyRJ0kTyGylJkqRKBilJkqRKBilJkqRKBilJkqRKBilJkqRKBilJkqRKBilJkqRKBilJkqRKfwFZbVndjdeWqQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L = 256 # length of one segment\n", "overlap = 128 # overlap between segments\n", "\n", "plt.figure(figsize = (10, 5))\n", "plt.specgram(x, NFFT=L, Fs=2, noverlap=overlap, sides='onesided')\n", "plt.xlabel(r'$n$')\n", "plt.ylabel(r'$\\Omega$ / $\\pi$')\n", "cb = plt.colorbar()\n", "cb.set_label(r'$|X[\\Omega,n]|$ in dB')\n", "plt.autoscale(tight=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise**\n", "\n", "* Which spectral properties of the chirp signal can be concluded from the magnitude spectrum and the spectrogram?\n", "* Change the segment length `L` of the spectrogram and the overlap `overlap` between segments. Rerun the example. What changes?\n", "* Change the window function used for the spectrogram by extending the call to `plt.specgram` by the parameter `window`. For instance add `window = np.ones(L)` for the rectangular window.\n", "\n", "Solution: The magnitude spectrum, which has been computed from the entire signal, shows only that the overall spectrum of the chirp is approximately constant. The temporal evolution of the instantaneous frequency of the chirp signal can only be observed in the spectrogram. It can be concluded that the instantaneous frequency increases linear with time. A higher segment length leads to a narrower main lobe and thus better visibility of the current frequency. With a higher overlap, the spectrum has a higher temporal resolution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Example - Spectrogram of a speech signal**\n", "\n", "The following example computes the spectrogram of a speech signal containing a short sentence. Lets first listen to the speech signal\n", "\n", "\n", "[../data/speech_8k.wav](../data/speech_8k.wav)\n", "\n", "\n", "The signal is loaded using the [`soundfile`](http://pysoundfile.readthedocs.io/en/latest/) module for Python." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ISGoSQ4CntAqAgQDTKYttIN94Mg4cH/IZWJJGjLaL72w5Eck+GQSO1VDg1lDKgTyWYRskZFahhcDThJwHILwPCkgPXcIGAQdvBIfOY2EaYSGarQFRITETBHnqN5EwT3SBnC06kyIitYJebFtD7QiwXNy39D25+qKWDCDR2h/o55LdhEOZRRoCa2VlB+jcNf37jBSp0/XNrDO8b0zrXV2K7kRFMnZ3oi+KqdUAaUimmwwiAa7OPB1d9doAYpMJqcgcXwZ/EWObm1oXyBV1t4x2WAwzmM+RQzszwueBZPE5M2X2npqVVfjdhzqNSAeNSDV17LYrelddzevnfq+n05Cldf36FCgwU7FEXKn35LdAXu/B28LcK9xkaa9FsopYEzsNyB7AWHWaXtbriUcKLr0GxJNyFBjrRGVTMROasi09UCcyyzaV6o8QOGCs+qw+zkA+gohirk++4sL7z4GzNUucrUi7+M4WjKKINAr0cfEfTvWEOejqSXZz5dh854ORXgxTR0CaoPnC9I2AG2N4LzHkUIfFkdIMZZxyY6wXviUQsz3Ox2GdnAztsCqDZP9wAO0xwPRS1fd9q6RTLbdbmlc2r+CeGTFMnBBu4QAckPIunLk07qnJEkIOo2tXu9my/tDqit5EOyjBZ6HCEISjw6EeeyxCYOGFRxqDmlHTbLTwZHoc7WSTOxisWYSTsgdEJChOaypre3DWxkjJd0Dir2FD0tPX+GYZ+AmZYrQ2WgdFBCXjhYs0jjSKsrYenXq8Bid7MtfXPMWuW4UkyLis398AQhpUiO6BWoHnnF/RgcsEyFpqJbrIQURkjACwjGrEIvh9o6FeVIwjQiFW8JsGPQgvG06ofn8aXjfRRRYdmIIcfD/1GUVEJmugh1BCp4M1i0XeWOIwLGSw/mTuxHFKn4YlyFa0XXxna+aUs5EaRvNgOFwoEEq1dSJZEwoySYjK9BW9orOsuD3Vi2MGoqZTyiTQGcNEpwo200N9lLO//Iom3N74gOZwpRFxpVaxKoTMc5ZSry7p6Pu4oxdXqisX04g8WfJPrh0QCSqDMyXG40kFhF6QUQer0Y5J2LrDPy0X9CZWQDqIPDcijgc97WzRUWFa0PBekCKjs2RkUuA7zUkKhrCkLFniCHlpGcyn6QbQM6RS8ocgEZdQGQvE0nQGSMeguizPJzqITZbE6x5PQESWocVHY/C0gcrbHpzuelaPmwM4BkxPB1UK9qLy9gEq7W7p9YaB0IRoYExHCxEr3EzCeREcTqnowUannIR0B46XR6GFr2INJXoXo3HFcTCbRItbM0gQEXFwYsdjBB6G0qI/X4IQ8zyD4o7eQgbn7VHcvmXzIglnK8YuvrOV8qp0OYDjUXqNKTw9aSfMva/riIx6Ubd7lhS8jJL4DqKkQoa7mD5klMQoKw0UiDvMvBvNY2GE9N4X7+vfR4g1L4KMzjYTTVuRmbmJVCd4XhNwtEiM7kKriI7KPrTL5uTaUB8NupHZHu4Jq9ZQnZgdcAMDGtCwi+1IF5UZbSFqid1c1qnT/aFOBxntIKTxjCQHpR5QeDGFgj1VWBlpT4BWlK6henLfpoaIgsyqCBSoDUaZEW5IQDyosxVXUVmAUl/pALIpcCTo5FN+43hqr5lcOoqI5lHNW4Y+xcFIO6gVoMSDqX5ujY52enkPplCnIIGe7b3CWhAtWoC5HMwsoskMAc2k1Fi8EZfy5lBn2ydKP3T02O2t6nt4uaKR9GYO/McSHB/MtWnLOt0OY3WKwD+MfrFo1P4zIqcLXS7OWvpBxGxbicEuvrPldNTBSUyiNFW8U5BJmEEsc2VNp4LYv07EiggW8+BoIEpifzdDWEUqg69PEDEJOBkm2kdUSE0rsxDCWZvt6oWIHDKRsF6GiCwHeC51fd8J6zN1MgO6x3Y93HBK+2jDVIVjQW4PCfCIKrn292/YccAedEwTkstDhOIIqZUWnCt+nhtMasIdCdcMnS/qKxnB62n0psw2UyIWkRgPohELmklNshBiR88lBhLU3RqAH5nBOCyBOM0KS8q2hBmvaYj5SWdrCkiD86810eewD/VzIowORQXkoc1ZRADHhggMU7dEH4nAioh0BuC6HunnVLoFR53tbji2wCPrcRxQ5JhpP9yDnV0tJbP8DDifuCYWu/RazE+LsTQEdWcp8Myw7hO1zYKjNU9HO5xnaV58wtmKsYvvbImGdNNtPYkniPI4ITKrSAEWICwHYmWG4YaI7A30Ykhni1yd2SqcIwoAztm4OrrRNdv1eCxEXBdYfWiMyBnTRdNvYtZj8WPq9UOr99TxHx3f0KdEtA5ONS+pdyWaH5FrwaEE6EOIn5YKKfOm0j7TgGx3s5fSSNZKUadiWC5PzpbhlWBcTNFJwMEpJ++tvAsB0JeQXuKmHNIjLyZbY8ZyCpW0jNj9mnaG8sdwFFaRuqkTkdTfN6np95cRPJluCbD21CLbZcjBEMV1VfQ2hX7aY7TnuV7VnC46c8U9rAeGrwjHBCr+8yILZvBxtNJh9XGYyDEDjek6UpUYK7MV/Z2F++Rg8QfYmBo0AKy5RGWvXdIQ5+M2+kNOiEJhHDEDQt0vEUlxfqKjxDSLNQnraB9SD4VDoKzn2K5HvB0niWm7+M6WF8VpMg2GkVag1kmRfAVAv6wMDOuZxVYQRBw2qhpJ6rej1dErmKSthnbmyB8g2ZypFiJVFM8sCnUToEmFxtoTtjgKMVZgDbA4USh1OashyOeWdOua+we6CGHW1tdAhIPOUwYgDNv30NIToAF4Paw3Gm30ed0gePI9ICIX9eLKtGNceqoPh9NDKNKBbE6eGz2j3jVswvi8GXeZkCIBfCaNwgaiY2yfw+llWlXxOQPknSEFbtAEDN24auPdpnaIiWKL2GpCDwSRjkZcyrya1YOVjkTrJnT1mrgJqEakiGnhD3UQ0HlP9FiOK5QQEVle02m59iPtzMyWNbJFdG1Sj6Yh0LlgEQ/RQwZz1EckSnzoNao85e/DMiHOVqaH+UPhZqjOM+hOMbUKCxac5PNRkE8syr47nK2FBZkNTj27AyN1wsWVi8DekV402EBZRKQM8ucA5M0MCe0U4GQEhAiJkDk5F1zcTXrnYbQyObXEaKaJ9JKtyJqA7G24L0Y0EKlUrB4kzNvIEveUyBeqdcp3o5eK4Roc3sf6fLvX49Wbzab0ot7k6CBeudpSx8tQDv/S559Tx0s39fuJaJr0MSs4x9E8GZNuQuRNiZJ5CHdv5bpGZZpNvbEXQYxub+mxZJAupLRYDDgrRTtXJBJzkyIBvn0H/Srf91Ads3m4SIh0CsYmN/Y/3dNaXbfWNHeP1YlMdU6gMTVEapTzswINrOYtSHgcwwlAQDpDs3BqXIWZwzkwWGHFNtE5iiBbCRB9yLZqJOQP8dyoNTjIQ/uQcjcxVe4iIpNlIIpUuV+Oaa/F+hXQwlgEdLbmZPamXfkSE/kucLbc1Elh78lljpDr5wZE6Yc4DgnTVeydKCISoCkqq8SOHkOQk2KSqCZiWbOBjE2jvuiy6ZBgXJ/fCKRfcnUea76C37QaM3NMREoA8J4Mh2jbgpWmH+h7wMazE2z0FKtMYz9YJJeKWCSMUhDDteh2PkxHi4hMILiZQ/olhRQ3lcLZ0iS9pS+CaTuHQIK8NbeBTgNEnbBJpzAu8wdAaK6gWW9IdF0EwtBhOxxYBs91WsV9h7M1QtqQkQCdMfIjiYzR6a88qxEa9nqk4yRinSOuMWbThSPRGmvnhzpbRL7IhxyAmF1D2pLBG8cNzbwOFDesETV5XLnbQO/BfS3uosrzBT1WjUAwHX0ErP2ORgtXUSHag7ZZLafHMgsh2MSdSFqY30OCPMMzNqJ+u6Zi4jP2e7yYJhqJwS68s+VzXkbXFiY/FmcjWUVVba7diGjIV6isWVIwbTzWtz0Pgb4xnClya5ZX9ELRPNZpRC7mMziApuQYqVQK+pFbRPMb0OEKUU+mSn6vh4pKOIAzFirgnNpItZhKHi7urehNlfpLBTQonpbw3NHOx3HDClttgTTN8Zymm3qTolI4uxNsr+qN/7CrneI5Km/n8JkdxhUJtkQwyB2kEdPJZGO4fyISQO18Bv0lptBNqhL3JMA1ZiDtQNJxms4XdLammO/dhzptOEQbqY337UucEXmms/Oeyzvq+GgYPf+IytBSQzRVhsAog6/MNnojHkMwGL1WpyguCXM4WTg0f5dewyh70gC3jnIzkxroG3CuUhDDXavr32PXCwYqRCO7uGd09qZoBh7KW2WRDTsJIM3PlkW5DpBl6m7FBM1P2xJkK9rOsX4hscQSSyyxxBJL7OLbhUe2RETl81m27EH2ZrXRACgQ+8kx918K0ZNhiX4F0TsrdfbREohPie9nFGeqwNAU2SMSpeo2GxwzLcFKG5PCo7il2HTLHBIa6Zo+56U1nSoZIGwj6mMQkFV9j0cgOOSPUXUKRCPf0tcYoCE5OV/M3IYUpZqxNm3rc0qjifL0MmQIQOIll46pDdPEmfcIqVYPrbLMYyqE4uvAp7JEabu8MJ1EpCpPZfDHQDCf0eNigvSNT7ERdbQ2EY3pY1ahpZEb3X7/rn5/SG9Uom+UOeFnyM2729LFH7THDU1DMN0YEFJzjbta11y/Vx5c0h+AlAvvcf4xIBXbHtJwX9maylRsogqcfQNNH8820L1VjGWsiSQ6MF1cSGNNo5YYUr2USXFFi+pmmno+BeCZZTD/iXQRrY8qGo8b5++0eUmQrTi7+M5W4CSz0DfLkIRjsD2mp5gCoB00bRNZqicTwnbAg1Nwjgor+vNL6Md2uAuI+1ld2TNY1wtPAanPcVl/nmR2EuBJBuU9ym3a3mjsZUgeGSs0aYcTnUo56qE6CI4LW4zMJtEVkgEq9jku6FwZKYhUNMQvYsVn52w8C3L4Ul6nl1mNGMDZmo6j04JMS8yxQeQxLoI8uieA35SB3hu5RvOWzWvM6lT6ji4soC6Wj+EjcgOasboQ9yTfAB/yEn6PsiuXIVkAJ2KjZFvxtMm5+hL4h5vgF7KhNxy+Y7TTqlfQvBtaYORYraP6mb/H4G1GXiqEZYN18KlCtAaZAi8gSCVvjUUEAgeVvLBhAdeM7yONgd0WWK1IMz07KeQMC1OQpy/C99iuFhCjrdLZenuBxNO2sEr8xJ7YxXe2Ml4JIabQ0DTTxyaKSUh1dC5ERj+GUaWItKEqX8JCQfIlN24iFkSeZlVW8unfZzViAK0wEqf5/eYeAN3LYaEyC2fI35Y3NSG2DdXrERDFQ6hoG/QOP0ktoxTIqR6ipEGJx7jH8Bu4sNE5C8r2HphiC2zkHpyu4DLEZuF8dVEkwIosVs7yOQtKy4l4jCkVgXHIpbVW0ed3FNMaS0Qkg6q0AOjYnNXD1HCKW9/5GHA8g6YUHQluwkQ02BuVPfZE7HPv3NSvF3Df2fuQ85+VciTQNxgQxqivG1FlFlqgyTPvES1M1PSgobluRaD7dIbYvSDdwz3hOKAECH6fazA5V+znyPXKXBO1ytheqGfHvinqptYsMgwDrCHVB0B9EbiU95+8TkfsaVuCbMXbxXe2vChSPJ2rpdf124+vogKLZHP06BoUoChfsagOxSdbLR2ZFhAZxkHmjBI5xokwuCIcQjgiGXwdhVmZKqUjRIeT2kciFpUJa1arXmc6N4hmfzq25+lgg2AlEPIIRETSY/1+Lmz8/FuxOSU5WN23rsfOw5YmXy+hQqoA+QtHCRGm7HCNfJ3jLA2E1dwzON2GGB2CArOvZwD0a85NeB36SHE97NCGMDVByhwdIyYAojmOuOmmXtObdv79+gv5jERsw3CidcMB0sn4zbWavihu/NT2IsKQgaPShQxCF46IaW0D1X6KoGb3sb7VrbArxxodSDp8rMieoeKRyFSG/VqX9fsZ4LI7QyUfPaG7O9AyhBwPuymEpRGFqviUt+FujPnYgbwMe5UuVkizw8XTNi9OZgkFPNIuvrM1d4pnMQU3iKq8QqHGFSBV4HyRp0J+VphxYlIDhppQjIzzqNxhE9ZpFjwzLI4pcHMcdLUo01CBeOYYSFdvGB0Zh5lxyOB7EbbfKOr0zE5HR8q+yCo1OEfkQ5AWBx+5fwkOK9NT9P0oITK2i12ACkumOqlqfWP7Ox8xAAAgAElEQVRNq1pTw4lilr6BDYv9InnOMT3vqOKdOgB/iVppRESGdvFlSkzgBFPyw4GTxT6hRkmRiCP7hZvUi74HpX1cE2VStvQ9Kef0PV6DLIOIyOdfflb/4ar+zHIlWpeKztPuQHO0clgP8nnSBBC4oLLOVMXxnlOqgp0L4BCH4ZlE2yleuw/ki8+Fz5XahCMgoBU4V1xP2D6IUg8PulpPrXxJP9d+A+v8W6CbcF2nnmJQweuYG0UqxkNYebIgxHweGb0kjRhtF9/ZclpjiYrUFD00JGAIPRYOICh4VTsiYYhNEx3uqbhuNFtCegsu2mAKZypG0I/K4R7XBL6rHPQhNImWRIxSJ5AQoDqziBUlZWRJyQ3y2rixby/pNOSru4g84Xxl9+BE4xTpfFGPqdTE4l6LTmeRDH/yHv23pTIkP5DaYFHBdklLPexg081sgKcWl5JjSo2pGQQFRGT4fpbH+6qN7k3TcqbMG/pBeKTtA6poEx3ATk9nizpczPrx9WXwj1i4sdfSTkI1ZxGStcv6ubWQMjfIMBFHjBvyH0u45oOxPqcMNN9G6PBQhNM/pCQIzMjlQOMqTGeLf+v00aIMGYMCNNzG62ibRKkGBDcUjuYxx34G95R8ySHWXK99MRkcoSgoBOQhd86NGQCSt8YiHSDNuM2F1pN7ctYCp0kaMd4uvrOV8uJLT0beHMgU04qmZQkilDGQrio2i+7AErFNdHyoJ2blmlbVnrS145Bej3ZE5iVEnoj6qLpNjhdRGwqO1rDwkNhJRymsN9oIpPtuA6nUqt6kBof69e4GGtdmsNLAuSFPzRgjZaSfmDKbVGK4QjE6XyJiUBz21STZ+rivx8ktvYdKd6rvSRkpuC42NKZSaabNCqtckbagBtUIyBzTjCIWpc0CLXPPamdm9lDfgzmbaYNIzU2G/dpy4K8P1yH4G9LTUn0ec3mljOKVrE0jtrIaBenDqW7A+aKG1ADINwMPjpsSxsEwT8K8vofDpn49W6XWGYJBU8Ed3f0hzFgxOQX6zgwEUdgZgrWghjVwV9/T/BU9wQ0PFff02YpW7X+AlD65fANzzfGcKQYS5HCScxmAX1g8RkPxxSKeM/d7nAkOE9N28Z0tERU9G2cKIYgDZJ4toASYEAhstWrTCLto6ZNZ1ZEkVbWbRKIwkdlXsMlJi4k2W8amfhRNXL6+rJ0/CoqS08G04TykUmcMZyuukRYr90Zscmc+EONIQAIgC04IU2xLryISv4b0FiNHk74KIcjD+aDjwdZPVzf0cyDiYbg5cLKt/8dcDqqd0HaFkbdpAo3fZ+VemDF9NIeKfZ0ISEpvmkQHPKpE8xSjLYMftYk0Ip8jbhH5kUzhU1LgWlGnfkVEvnq0qX+TtABIp/TgRPO5E0Fst/Q92ljXqO+QBTPsKHGMuQlnaz6kY6Lfnsb3jSlBIiL9Lhx/OPaZDe2kBvhNB/4gnS2iQFxeyAEdweHkPc8DraMQtEOq1hDmCxbVrd3R13T8A1jnmaHgfcdPVl/ViOnR9z6B2846o+dFZJ5wtiLt4jtbc6cmaprl72zjko2ZAHDWyD3abaL1TogVCtGIBitv6MxwoSGCMMcmmQOBdbKsfy/X1O9nOxA6SpQsmFPKIiSV2sEGka3YVMOi5bHpbhX1BvKgBxwfRvkMKomb1Rgvd69o5yqLHYvtfdjKpv6KPafWh/V3kNicjxkXbFBMngnlMGINKC+RN0beDjk5ctBInGYfUhERD12t3A4m4Jo+pH84KzOwiJFuoI9P8A4VmgVIQWTwDOh8VZA2DCMJE4km8psCHEcUhU5ttYi2SAU9jvh7dJJZgBPU8Uxi0oSCtlJ0HsNkXFaW9ZpydKBh2ixT6EgXkyphioCYxocDaKgaWCP3ujqb8OLSnjpm9SItdwRk7qrN4/Wu6WOuk+Q45hsYJ4BpF50rEZF858ncOA8ZiCSNGG0X39kSPVHngMBTmMRMwU26kBCgoCfev4Xu9iIij1/XO8iErR4KWAiw6TE9w+qlFDWrMOYpEMgNalpF9WHaCrNG/QAJtKy6E7EVTxXwlXr9aCFXylHcWjpUx6/l19XxLB8tQpoFxyPbxT0kmRzZIS58DCW5sIrYTZPcnWlP/2ivrBHQfFrfI3LrzIbC8BZj32EsC8rViYQZEUWKpKJtkxyCsC8igrE2ARcng2swKW84a0wXG/0zrv9sSQSeDCVAyjHFHqyiOxrb1joloCBNPHdTNYr7Xi7q+0o+UTOn5xaLELJdOqBIyVWjr5HBXhaCwNMrqLINcbbqJT2WM0DXXQ19PvE6RYgH1ZjeNCCfE1ElEl6DA0unuYDsA6kWlHoJozHEZdmoezeGlm31XjQ3t3L/iUObGp8tacv780sjOuf+noj8YxFZ994fOeeciPyyiPy4iAxE5Ke99188l5NbsIvvbHld/h1AW4iTmgtdoQYlcmyIFPBrhlQjZuqoCkNka6oRyVPGb3KhKC0Bgke/OSNmSQI+01HIrWQcNnEsZDPWLIes3VNszBOkTgIKcjr9nG63tDP1ofV7+u1MzaCQIUDpeK6NDY6aq6j04TMp7+jzaz+rN93CkY3yplcQnQ8w9vCcukMgWdhk+yD9ziiSGkMbIYob0PnCM2Mml02gPfyMeSVERZv8PpTIT5CuSfWAYEDPaIaxSWkH9rxc+5z+/YMPMDeqD4kuTuFINHv6Bw6L1tkyyA9SWERNKnCuqBGVWdIBHc+RFZ3wc2S0gZQ6UJkJizvYeLoKBxXBYJhQ7bAKdA/N6g0HCggmJdvSdLpJfwK3z3DEMPYPoZcmcHTYZDkIotfUbNNurcyimHW3G82N4+cLKNppvvQEnZu9HsNZfQrGKvazMOfcVRH5CyLyYOHP/6mI3Dr970Mi8iun/z9Xe+rOlnPuEyLyF0XkwHv/7tO//WsReeH0LXURaXnv3+ecuyEiXxORV09f+6z3/m+efuYDIvJrIlIUkU+LyN/xPm47OTElEhpDbDZ6MCQNw+oFvZIxrSAi8updDXN4tJKorepNtMU2DYjKKqtWy2vRmCbgQpCGkKTsRvPQTEkvEQ2kGcKqEakY3d2DwBFTj0jTbVf0BjP10ShOcEvfI/dQb1isNgzA7WHacILXTbseVrWtxVcjptiYGpEt00VsIVLFptyY6DSiUaiGM0f0zyEaJ7/Rs9KvGq01lKYch4QIu3LDwdgZryFQGUeT+Fl9yEKHw/chNWN0uLDBkZfGSlzwExmoiFhniGtOlqT7oh671CbjpsYWYd2H2lOYMrvMe46iAINr8x6wIBROd2HPbit+GxeN9jo5IJyGX471gesJ0X8aqxepccdChyyeI1uWmdZYGIdTnQk+eQsaePMcmCKnszXLYRxgDVIx7zlwts5JZ+ufich/LyK/s/C3j4rIJ0/9g8865+rOuS3v/W7oN5yRnQWy9Wsi8s9F5JNv/MF7/1+88W/n3D8RkcWd9DXv/ftCvudXRORviMgfyYmz9WMi8ruxv572KhWRoiOAHYR8CkZMdDSofBymns5J48F1MYsxfrOyqcN16l61EF0bcjY3eSrWY9L3oUw+Nmp7+HoshORfiIhUcc4O7de6bVRMpaI3vW6A0vE+Nr0KCazmlJTlW0ilHurPD1f0PRmtghdDPadZ/GrHKlIKOa5i0+Um2wMPjpwvImcZOFsB1GzTK+gn95q+x2mmUrPR6WMiOCIi+ar+jbgUGsemEUoFUsa2S0t3MY7S+D1OV8w98iPJh2LlH3l1IrZ6kGl/ojpEy5kWNMgz9c2u6/Ui/ScatSF/cbzCCmzQBMqQfukTDYQD+pzVDVthUU8ZY8cotOtDylcY3S6ONdxjCjGXa3owXyprTijXyOEdzcWlBl3mGPsIuYUSIu1A8Wpwtma4RwwcggKqwheFmM+cs3X2aUTn3EdF5LH3/k+dJu1dFpGHC8ePTv92sZ0t7/0fnCJWxk5zq39FRH4k6jucc1sisuS9/+zp8SdF5C/JW3G2vFOlzobwzvGPyLmIypwRnLHjgQ4bSagVEfGYNGwZRA0X0xcsxqhzxY0+jVTMFJywwoCODBumRi9kYUgWLYsNgRWV/Sw0mvCcHvf0YncZSJfRRyN5G9c8w0LFsuqgBCcaYpipaTSoOiuGON3DmOkGp3wIEVO2aaHTzXS0IJViGtsS8WTrKYgsUmdrDhJzBinB2aF1PDJ1fQ0DVEDmWOXFlBQDCaKs8PMnS6hWbOEeb9DxAGGejgQQjY0lLSnQm1guUQXCpwbdg9GZYpN1OmMsPikD9ZnhljKlzgrPTAsoDs+PacUY1EkkRK7iEKnHTSLFQH3gqBgci+1xgLYziC5gnLFrBgNMd1k7kKbzjsPvl23AmdqH0j8CgznnJ5DlFDmZ9G0Wy0S/M6oR15xzX1g4/rj3/uOLb3DO/b6IIDQXEZF/ICI/LycpxO8IO2/O1odFZN97f3vhb884574kIh0R+Z+89/9eTrzSRwvvecNTjbeZru6bYZoyypt18PoyUnZYNOhccWENs9xVHXnufF3zkbgJcnE2yBSjwjIXGiwccL4mS/r3OmjabCIWKiFjYaRa81uxMERw0QIgiCYSJgLCeU8fOzo4NwrylV1sgPno1cw4NmKrTNmChLbf0anW5fXohuYcB4udE0REZiXwSkrRXEKPHnimlzh4KZkl7fwFS3YcUKeKyBSrzIyxLRMcVNOOB9pkUxynYto2UXaB9ziHmzJ6C0sqq3lNnz8YkeLmCDp9eaTo4XyRt0YB0Fldf7/htxPpwj1ycArCmjoXM2hyfgljj2C8kfgAUgVemjlHjKuVmh4YI8wdFuA0JpAcQbAYkEeLdHfo6hBTrMH56lf04JyWUfiAsZ4ZnXM14tvXmzjy3n8w6g3e+4+E/d059+dE5BkReQPVuiIiX3TOfZ+IPBaRqwtvv3L6t3O183a2flJEfn3heFdErnnvj085Wv/GOfeut/ulzrmPicjHRETSK3UteGe4APow38SAv4ZJj3TV3gPNj7jx7IE5nyIga3I0Vp/XlXWPd/R3khciQDR4TmluclTNR4VX9hAiilO9kBjkjdWMWHh82Qo7kljMfpFGs4nVfWgJlKlTlTSa50bEg4tRAYgHq9r6G2+PcMq0h4jIdAX9IUn2Bhq3VtGr6aOuJoJQXynDqlBIL7Dv37QP6QmguJnD6Eh6DrSBBP200bQLadMU0wdUQIQmWsfnzIw3139WI+eamBt47kzhjcHUHlb18XHbym8UVuHMAM0bFfVxH5pPnAvbZY3q/tnhlj4npMw8ntN8QzsGpTJEUKGJlW4iRYbvY6qXzl+YmQCNzezBpUtBfHqSguMB1JV6ibQpnS2sT/MUKi47qKylX4HzDdPZo04W9yJ+hgHonJocAwT+oyfHjt7rU7az7o3ovf+yiGy8ceycuyciHzytRvyUiPysc+435IQY3z5vvpbIOTpbzrmMiPznIvKBN/7mvR+LyPj033/snHtNRJ6XE6/0ysLHIz3VUyjy4yIi+etXznbUJZZYYoklllhi52WflhPZhztyIv3w1873dE7sPJGtj4jIK977b6QHnXPrItLw3s+cc8/KSenm6977hnOu45z7fjkhyP9VEfnf39KvpEV1aM/fgZIxUiXkqVCHy1FgcBMNkhtW1JQd52mGIA8EguXyy6iA3MH3mRpNgjKs4ELAZFAoRMrsmUd0IaxdB9N+fIfhKRMlgZ6Z4ZGZhm3gkRyBs3EEMcwN9gFkXkMij02TWQkxlnKTb5SLTh8fNnRaMV9Cw2GgLky9FHb0dB9rYXMRFIgG6BvK9FO2jWIRpDkoNHnyN1Zk6nPKofcgW1sJ0EDXgPwFAAhKxqUhYsr357Vov+mpl9rR60e/rq95vY6+T2KR4fw+BDCX9HFjqK95NNDnQB08VsqxoXkeyHYB6WOiiWmgQsESiNpEbcmvCpn/FA0tQq6mkCGyhZ8gFQ681qCCNRMTkG3UOFeIItWzeo3N1aJbGM26XCPtPTA1ACOuYfqQfUAp/cCxO17o18pCkLMw9r89S/Pe31j4txeRnzm3k3kTOwvph18XkR+SEzLcIxH5h977XxWRnxCdQhQR+UER+UfOuamc1FP8Te/9G/0v/lt5Iv3wu/JWyPEiIuJV777xJtSSIZbnkYIzLVDIJeCvhVX8YyKTa9NADzwuXjksRDmSJugXMHViFtNozak8nD+zacIRytbR13BkScJMncYZFZ6z6H02IYEV6aVMN7pTAInR7Jln+EljQPY47m/r8936rOWtPPxxjp1o6YVWTTNob23rFPVBT1eZjQ8wjuAAkrTvWfHJFB8sCz9i8JyeKwV0BZg8tim1FBTiKXdBInUGDt20CP2kHp6jLiqTAKfA9DEdSs4FSr8s31aHkn+vfs7kAolYZ2h8Rd+nHNYYNq5n9fIUMvikGTCtx1ZVgvfHJf1SaJ0lPe24uIE+n51d291hCdxXnjODscka+7ci+IIm3Azzn9pfAdXaY6qdSZCnFhqmv3gITTPQEbGVr2lUH5qADvxhViPSFrtanLXfc47SD98xdhbViD/5Jn//6ZC//ZaI/NabvP8LIvLut/v7zmlV+AAoURZkcSPsCJvX9MLDzWF7Bau9WKSIqAw1YMznQQ4PjJgQNlVMUgF3J0WhRogUbpS058G2Mn2EjUVUHw0GVjnclFKT4ErDwkQVa0OoB+IxTUf3aaGqtmnbBFFTQ4iPgeYO3h/C8fJ6wWZ0P+qjOTcKDdYKGvXpQb28FeLoL1qAQogikK6AeySGJe8JhSWL4OqMKnYcGM4WtLjIkZquRbdJobNl6iy4KXJ/YzUyNYmJkNzQx3Oc75Wa7SCx29Ws/AH5RF/Xz93dRO/UNe2okMy9XNWv7x9rzicdTN6iq+sazru/u6rfD2ePax6/P1e27hvnax7VgCM4pKyoNvI5psUtnHTIoBRxzPWHwRvbgRneLAslOmjKfilE0Be8s9E62qzlo+cn9dLKe2+eoWCw+LTNi/tmCPLfVXbeBPkzMUXGZARVw8KBz3YaGOFAtlgKHtafbqumHbAOlMGNjg7E7zJbelIVkEZIofqQwo+uh0kLYnQKqdNqBurOGbLLoysy2fJIxLa3SFNJHPIVfBBDyBqYakSUfpOgXjzA4tjW10BRU7MpU38pG72wMF0lIqYYg85J9mp0ZSub5VJA1zRZZ3qXDYOXgSrhnto2LkALiaC8hUbU5j1st1NAIAInmsTqwTXcMyhnp7Hvp0CID6L1fMWxFRbbSOF6HrasmiVb1TScXiNy79YOGmVRWl3tAQ4h5U8piOyKduI91qRlVOYx7U8pF98GasMsItYfpvxFRPohAdii9VLowLDHNkwIfiDMTFQ4yKEfbIz2YB9FQZRZoXH9Mn5GWIaDTq9x/PWXDK/rcVB6HWgd5GsypD6csSWNqKPtwjtbfpqS4GBhsUKakIs7eTQZdG8P2NkW1m/Ydj3peksds7ydixN5ZFzQ6Wzl0Ppm3ER1IJW8EQXm0PA0D6Vywykz2kPxw2gIWJ/tM4xhI18qoSUR7omrQSwT5e/sM+ZT+vtL+/oZLL2uN8juDf1cqctlnDEKGIqY+57GcYBbso8WIqtQuS5nSWwh+kblR6B5lej2POQOjutw3sDdo5aRqRwUkTH4f1k0Nfb4jRlaT7Hq1FHmJI8m7ACaKAWRQeEsRVHp3KVuaEeFSNZKyCb9WhtIUQxNoJrXTvTRseY70enuI5ChZTvRgUEDLcaCI6QJL+MmHaAymALCYeeANNzgOLovaIUCnnguRLpnTEcfgssHZGuObEEbAfBWCSKnmKuki0xWKGkSkkaMBmmNZSAmm0VAOc8wQDw/Z8v7EImgxJRdeGdLvO57Ry4QIxLKKPhadAQlCGSXN0D+EdtmZSlEGmHRxtSMcXS+2PEeCwGcq/IdSDm8WzsSYQKc6nWiEWbhiSazi4iMH2jHoXxTO6AEggxHA4srN7U5xC9TeExGEoBqGg0IRd6Mdq5MFIl7kG/YDW4MZTjqKzG1UV/S13gZJf9MJxV29UWNrkazcdiIek50EUjZrBi9mHIcZDs2lTpJAUpaxiaFcyAZe1aNTieZlFYnWsSUxGsjEYLHGCCd1B7r66lkLbGm3bcB2KL1QN7equo1JANHhShMCxwvqqk7zO8BUOJ+E90bcM0M5iZOO1sUwzXyHSKyhNZT/I3Bjl4fRqtAFMmBQkaBfTotF1B/nM7SEuR0ehB25hrLIgTD0aIUjYT0RuS6HaOfOEUBS3kf71+8yDPP6Llz6Y34nWQX39lKe5kvKrjHcDaMEGQOtwiTmBMiTNCvAEE/kmhXkGY4giAme6M1xmjPE9O7cLKEhYvk85jA1LQkypFAD8QmRGMmvaWvkUUCdNCm+A42/P2euiaLp8i1w7Hr6w3NNPuuUlMKDi/uEZ2z7lUQuW022SyA3R43OX3NtYLeoFZy0N0aaE9/dD2G6swWfXSap0TrYhZPvM4m0qYKVqwTTWO/SHJPqOXFiq4sYh0qyBstI+gjsRpxjvk8QQqvDVQo7OpYeEDBzSmbsPPzmH/kcJYrepwQPcw1teNg+JJwzjLo1UrHhClyiuGGPWIGbIOuPqcUvpP8JnpnoyWsYRCnnoJgbyr7oHVW2NYT/KuPtHZZHhXljvsIdbZCBr9p6cX5NeV9jZ4rmSHGUfkcqwElQbbi7OI7WzMnmYX2OAF6WnHxp8o2ORuEarnBtEJIgteX9ArOXmaGMA+lcf7GIYjUU0Tb9prIAuYGpF9mtRP5VrwnY0R5Ye06yAMJKHvAaBjyFBU0XWYU5dtInbKJcgwHa1xDeXxDv2FSjW7iTOM9PflRpG+/oh3I4fO4RowlIpyNEYjVMakOxw3HYdzEcLxImC88Ai+mjlZXR3YuDF5E82ogkrNVpHv6SAseR5fDUy092wUnE2Of1Yu0uN6N5Fe9b9XK//27wXP6HBE8ra1qD3GMjg/s+9nIQ93cICL690n6p0wBex9yHE0gPZFmthlo5CxrUZ0p6BrMIMzXIGOSxZrDQAHzm1WlNA+HMM7p317TyPvOkQ5sZmwjRQHhif1+oul09GcFe9/U+xHHD1fR5eLRk3XXxbQTexqWVCNG28V3tlLWgYo0blAkQqK/3fK6XiiLITARpRp6/ThWrj5kWfOYiu78OOUpsGkyFUp+ETf5uGrJoKGvJ3PVpknHQAQqaOBLAjwrLMkbI0mYi2emA0eC1Y3I9hSP9DVSd4uvTyrR0hKs8BSxTuoABFgHzSmiAWxy/PBAV0yRC8RNk6Xmjik6bBieGxjWUlNxhbkyPw6pOKVTTT00qNiPB2hN81AdSvv5aKRqVoyeC9MKERR9yHvKTZt8q7yRCQ9pbg+Hr4xCiDE5kCwWaetxwDVoDOkVptA5Vxw4WBM2UYZjY1J6WC/YM1NEpAyntME1ibxVNGnP7mFuXML7Ke1AviDQeFIt2DWDRUF0UA3NocdoTowxDreK8kAIscZQe4zdDib1J/fIZ6KdyXfavDhbtJSYsovvbHlREXkGDUrliK1o8HGShrHO0LkyZPIQM2RRLI7s1+hA0mdagm1eSJnyuESPe5DeAfESN4HtNzpdpDGxcIalUttt/ZkcWgaNICtAcjVTJyQJzxEVeuD8Ji0Bc54IiH4939LXNC1hpSOtLWQYGB2rmLWpCwe0OdEQxdUNjZg+2NVVAKbpOsbFdBnjADIo2QbSx6zsQ8o9AyL1pBYSFNAHpbwEBm/pkT6HzjMIDBAokEs3AeGeztikjs9j7s3h8BKJWy/q1G4jJH886rLVCxxEIp6gHTg4yZVrGo6zra4if87M1xye8xDOVvaAxOxoR8msmWIrZw2dg+ldIJpEimcgizOtx1xmGmhbACoFhWcp15NB9aM8iObhhfVGdbPoAM3oaCFoZgU1RU1JfThrS5CtaLvwzpYLRPILqYf5JhYSlIL3V6F1grKY8UNN5KSxe7yIJbQzjUCdnEYx+jeo+UKi8wwyBiks1ukCnSHIJuAaSqh6Y9rCFZEaColw0kgjMpXK6L9yBwTUy/o7j6GyTWMaMX2s71kWfcUCpAWJBrSfgYo30oxz5FborInY6j2D8uC2kcvHQgsijiaNiHvKQogUnG7Xgu4WGmVnu9gAqYiP3wsTYYzDmCfgL2WiYyHjOPA352Hp3MXPx6SX50w34fcm+IGvHGmuj0hIRfMwGsGkALCvRM8d05Ac1chZpErHK3A4IQHCtKI0QUYnDYFVqCF7PiuojS4WrtmhQpoOIzmd2QMEZ+idyjWLzhj13yaBvoemETUc0rBeqDRq+402QJW4rV9v4DlNq9HO12QBpQ2lMTxF83K+CvLfCXbhnS2fFpkuiDmy4spDZyusikS9P0QZeNGMJpWIDDBxJ9C5qq011PGx2VH0Hy5BOPWgpZ2zKZGuMREVpFKQ8hpjA+HibsxwWe09yrOiiUKtkMOYXseGw4bAI/BW2NAYqEv1QXRUmJrBETEq3FiMSUZl6jdv70EKyBHb3zDdXc5oJ5dtWsI03fQXRjsK5u1EibCBmMYFiN6N7tZaiMdJrl5MwckEm+YMmxy5MeRskSdDbk+cKrdxkHGNd/a1JP5GSLsew1cEqjLGXDBpezgG5HiuVzW69qAG8jnmliFmkxtoWl3hmUA+YwYUKr1qbyrRuwwyCqkaBH439D0rPcQ1UALEaFhhjYO0BFOjNDrAAYsYcAszcKTYHUJEJKNjJ4Oy1u7p+d18D/iKqKxNg5c1WVSQN7/+tM3JLKlGjLQL72yJA0rR0pOO0TsrrEZwjBjNc2Gs56zOztFIO0NZ9Cajg0adLX8EXZs1RFmjaMKriQKx8FXu64Xh6D36fE33efJYKCg4s2EVN9E2KvFMuXoFqdadaLTPG1Iuqp82UXXWYlQIrbEWFnMQ5PMdROIgNVNEVUSkD9HS2Qq0wXBfj4bamVrN602V5OxhBmOVvJU4WMMp6HIAACAASURBVIkoERFRZoLgPKbBt/ITy9lKIX1M8neprufPgAJL5hzJP0QKPkbbKD1kBSbfACccSuHXb+lUbjYkf3zYjh67PWjCme4IOHx2WQdnd5s6fczeh7M8KnGxhm18Tn//4ba+J8N13HPWv7AYmhIiYnmgDCxyIQHaohUP9Ov972G1cAxNAOtDCscGXQQdxPAhK9QIiUZ9RayTy5T1ox8Bmm/0Dc1XKltE60MSLE/VEmQr3i68s+VmIvnmk0Ewuo4dg7pZ2PQ5ybKA1InQkEskYiH0OJSHIoTz56PVjLlwmP6MLPRDpE3eCquhuIGQ4JvGwkP9qLBzohYPr8Fw47Y1YjCkE9znQoU0IXvk4RoKiBK5WDHtOFhDpI3zHWzb1Y6kXCIImV2MHWSkzCbM7ydCMYze4PJIb40ZiAAFKu/q36OWUZ6o8MCOg9mK+ZMyoylXo/YDN9no76NjkKFzRb+Gp2z00/QbiD4OA8tTYyP6KZogjyDFYNL00JAq4TcnSCPy89kevg9IWeNFjBM46SX2i8S48BCWXVmzWoMs7iDwQxoBm5x3dEGnrZisRZP6C6CDGJkSmKkExvo0R/aACGyY38G032Abv8msCUWPgdpWv45ga+3JNcUsFU/FEmQr2i68s+WzXkYLjV8z+1AWLnOSxAx4pjHwe+sFm0bYH2rcvQIBvQb4R+MtVjhhkoLMycUxQ7FKblCE2LHurKIH3+FQR+Yks1LUsN206a1yTWPoJahkD4AQDtoa0SCCmC+y11l06pRkVKaX2Gh6luPngeZx5rDIbmAXnjnSL6zaSkOdvF7Q94wbQJ8VnDBzDyjMiuc2QpFB5pAIJTZtVIxxkw9CqoCpmk9uHVNkbF0VrMQ0YSewxFPg9MbXGX475hbTW10WaoTwFQ0HiyhJzM6YXtNzJYPgx2jUMSXPist5dMqcAehkmWgizh/rQTGkQGa3rQc/Oz7wGtiKkM+JhPcZuX1AlkyzbowLOvllFgU1o5u8Z1GNOGXGRERKh/oimi9B/oJrCp5LVi8PMl7GNS08trMuDPTeJchWjF14Z0u8aJ4IOcoxWidFcAmGEBRllY2J4ERkBKTo4EgvPC9e3VPHhzNd0k/niArQXOy4eKcg/MgokiKF7I34MNAaM3SuCmgqOz2wlToe4pJLhWgV/cFE73pcDNmkeVxkxZS+5zlE52n8PJGr4So2fVS5mYpRbAbz6MzRyW8i3cOelbtdLRm9gjQi2/c87AMZY/BOeiK5QRhneS01ZHqxUdx20MJzD0ml5NE2ZYyqrsyyvsa4hrokQq98VZ8jJTymQEBMiTx3KQQuHre4O0bfwJBdroLA4pB6ZdClK2Fs01HgppZHRTR176izZSr7IPmRQSFErgVkqwyHGRy0sLTpypJ+rkTzqtDRI2+V/EaHNWjGCskmin66+vfGlC1BIMRsAwPYGbiHAfiOYV3depfhHNE3YdEAnoNxKPNY0xaGwbkgW4mzFWkX3tlKjZwsvfLkMk0bCCAYVKRms+BhVq9cbAJbz4EFKSJfObykP4P0Dav/WN3HxfPWtlZPv93fUMdTpNSyWKiMCCqq1EjEJqfE6OrguLCFEExsLzNeM/WK6BhQHuPKqvYEmgfoZVHX31f6OppxI9qfloBcYUPy6PeRhlSFIR2HtCxxA/2l9U09VnpIw1GbiCnq+3fX9U+iutCQ9OlshbRVWrT+Ff2B0q6+xhK00rKsqt2pme/kOAjWkWIHKhJgo58uRUuxjOAkM/Vi+o4SkeT0xXNNo2KzfEWvD48OdaAkYp+z+Y7LQHnYGgZpR843tpppopdiCo5A9Z6+R/0r0Sn80QacgF50wU0YUneMIp4cAjRK6FAHjxwoQ0NgyhwI6LjOc9Tfz+CNvFMGCWxxZHi2IfOfyJRRlEd6l985XkbBypH+/CIylvg933524Z2txBJLLLHEEkvs6ZkXq8+YmLYL72zN8yLdZ55Ebkz/MIor7KOq5Hp0FJfCFxyMLIS+WdU8rr2OjjzvtxANQ604t6kRA6bUlpZ05NzpIupKgzwOLgAQeUm5aA6I6TPGSqO+JZ8Wl/U5Up+I0TyfSxlphstljWzdL2nmNasbB5fQUuiIkShQG+R6RnUoh6MNDNMG85yNbDOoZKsivcTjzaImGq/l9TgaPa9bw3x9VyOcc/Ba0ijRj+MKMTVa3sE9YSUumg035ujSLjaFHScbMoQuntHV6hOC1IeGzA1SfxYSBA6Ee8d2QuBsMt10a0ujziK20o1pe77OtKAHGZtNkvl512JKXZ9P5wX9YFm9nHqsqRCmOTfRPiCqxbytWrha1/N1r1c171k0s07DTA1QDIeSHC7D3WMbJjyD7gDovml5hn1hbKEl8gEduHNEsjg3WA3MQt31P36yPqRHZ1yOKC5JI8bYhXe2RHRl2XQZbSBAwB1t6deLMRtSgAG2XWib9zzogIMVQ8ZsFXCOSK3w89yg2GhaqpQpIJmT0hDsYwgHFBvQEng245DFlhwNQYaJDpuDs8QWR5Utfc/mkMegHho1pCq74J0dosIL6udZKNDT+WLKLh0icjjdRLcBEJJ2O5o4UkNKmuldIxRJS3Mxj1mASZRms26kWidsK0ML4Wwx/UPBTxoV4llFGldNGCfuSFV8aiENOdcgMVAFZ5NtX0Ts2J5sRFfvDki2w3rQx28cdfUunt3W8zF4oF9PQw2d1cmjOqpmIQHCuVBAii3MiWcF5eG+XgCy21rOgmac5iDagfXo++mr9BixPsBhbfS1J5NH14+gg2ARVI3SjnUWJ/AvWczhmdbH/Mm3uG7rt7eff/KcZ7fP1vE5kX5IkK0ou/jOlvMyXxRfpBheQLaoPiywsiakFUWcHT7WEX5xRa/oa2j58TitnTMSZMkLO0ijWpBSEOACeERdXBxJnCYSxkUgB2is07ME+XlHbyC9unaOWG3Iiie2OJqxRQkciRQqqlgIMS2B/1AnGgAy+IxRZzTHK6hbZncamyYlNjLg/wX40j9tXlbH3MBMTzoO1RjHgxIDVF9n65sRuISjUnRnAxHLzet1sGOQ8kQEApxK028OJCyjv0SBUJC9S7pWRYRtoHA+lax2tq4CcRUReb27qo7ZRJmFDu0RkCUgWwy2NmsaAW30NVFtPiWShucIwU+2aWKAWr0H5/GDCFBzNghoQoR485K+T+1BdPsbOlOUfiHvlOvHjOLVMKrwz9iwHLItHVQbZqAX178cwtmC8CmvKQCvjMHPcB1rIiQ9FDp/Dn5P0q4n2r4LnC1RDpYD6sNJydCYY9aQ17FhfvHwijmF0qpeTK+vaCFEomOCc5wXQNonwoENjGkHh02eqtjUtCGyVYJGTf+RDtHYSLcZQrz2S1A/P9AoztqGVsWnPlIZWkVsRG3SUZRnAvKUGUWnEQfr+hlUdiE8m2YkDedsZBeeDEi73BT7SFWsl7UT/t5lnTak/Un/Wf0HPvcQ0q5+gz7MN2KEImOOUyHdGFitR6RqguCHrzO9NK1C/yjz9hZ8M/XYS5ENjNEKx+iChaRSqnDI2EuwmtXp1zzaMh06IOMx6pZGhBgpbZLDt7f0erQz1qr4JG7nu5S/AOE/T9VTSxugc9Pf0+hbDQo6Y+izMXChc5TqwXni2CdNAedcwnGzF90ejEgZHSsRkRkK1U0BC1FbBsmspGdN0Tn6Okkj6ni7+M6WFyVU6gD3srR8uAm4eB49gln6/edWd817vngQjUgYQ+RLEUSmn0yLICwsaWwYAZytyZZ2hDhpuBCxp3M5G3M9YuUi4tSQ2a+Nm/QIzhbRAtMfEqjPFJpTElONOKnA+Xqg0cXDDwBNoMK0iGTgfHTvI5VySTvl9bz+jZsFzQd6PNGbcHYNvLhutA6XcXywuI9XgBLto1qKGxw3eba6EZH+EGrpy9H9cuggkhvj4UhQ5oBCkaZqFEbxW+o/BQga2Irrzy+/Zr7zD4Ob+hzYCBqIphGvxW00OnghPNFF4x64taqpDpy/6ZgemH3IaYzgKHWuWERzq6rRt42K9qZa0F6YkGaAcyDSzR6W+WM0lkZvVaL1S3nt8E7hHHbZuxFB9xQdJsLGGccuRYYd0Xro2OW60ZW4ixyu83C85gmyFWkX39lyorgrpqSffF2kPhiBZfLRHJMw64JvNK8BosZi69AGxSOVwRSa4TtBiJFNVEsraImyrxfL3iw6xUfF6Ap0uSZtq6Jv+DtIWWXQR4/cGBqvmalSpsSIdBHZ6m8C8ZwS+dKf712neJE+dOxMIDZdS0FP9syk3lnB6U2xBp0C6p1NOpTs0IdMJ1E1n8gWhWHzX9f3YAjuHrl9IiITOGDVNSsTor6DzhJT2izhP4RsAjZtjivTeJorIp8Zrims8Txtr68dCTpwNDauJ/+PyBeNkh50lkj+Nqr3Rng2WoLA1fW47B5a5+9Hrt5Wx3+494z+Dszn8SrTdEjBxdxDdsWgkCzTyTSKsDI12uP6g3tEjplIiOAuLA1h1FkFchQIEDde0fO/+fzCPnPGOlve230pMW0X39mKMQPNgu9EfSc2NO3D+SI/Q8QiGgcDnYbj4scGv6W7ejEM0KCUivJUzfZA57brOm3w+kN9PsMZVPaJ7iHNybTm5hX9/SIih6/o1ETtOf0epkK5iY6RXiKvLIuKqvSD6J6WFOikE56CD1DZgZbRc8gJMEsRQg5nT0mm+VIQYuyi6mww18drGZ16DWuTFGV8rkabCCTj0g6KFl7Q9yTo8Z7YxXdzWz/3ARqMt7tI11AJfAXq6XBERmtA20AfSkVr6Rr0wViWqJS+Z7sTW4FJ4eOjtA5uiJ6zhH4GzbhHff0bbEjOFBhRljEKG/Zbev6bSlpq3zJ9BR7r9euHQtvKaTRtivmc39AB4HgPSDE6OJj+rOBMsdF8GoUYTDcTyWLVLNPbpn0PHamQYWQ4WkDTAxQysZ0XbZ5+896l5yFqmqQRo+3iO1szpxrmeorPsW1LTMREJ2CtgubAGUsODbAYcfHd70aXQQ+uRFcjjrBhZSExMIG6Ojki8xoUqLHwsC0MUaMpPFbjOImIu6R/k0KMOaRG53A4x+hlRt4KU2KzEhERfT7DNRDkiXyhfU/r2ULk64zMM22L6kzrGGxcnNb1PaETO/L6HpQEyBei7wGLQYwSeXS0Ty4fVfeli+9js98Q3hoDC55DBsTjFnuV4hypbm6AJhyTC0ikjOmqeQyNgHPxA+W75j2Ph9o5epjWxxPAaXSG+FwoCcIWYUwrzoGM97FeTAZIyaNyL7On53+uFY0a0fkTsTxQ89zZOgqorwf9YwxqRf6ILYb05ysQ4GWFNR1eFh0Q3ef5Dw60d2d6eopI4RDPGWKx3FtYVU5kuXNDPxclanrGfs8JZytJI0bZxXe2BAsqFts40jCdr8J9LDw39KRidZKIRbbIxSkgOm7tw/lCpR1JuIRvZ6jMIfGSqFC6gcWXiz+qzmQZfcMmOp10wAozETP7ubiV2Iga94z8IxJuU+wPx2ohOKBz0JnSqOwJ0AqDkbJhGeOWZ6myLSJjON3FJe29jB7r+3a5oCu2uGHlcExCPVEiVoRmmb7mBscKS4JOa/r8qxU9rq0IitWl6gM5Xq/qa2hO9VywhHn9/UwDxkk/FADCDHWzB8M7YwNkcrbqKds0nsr/TCfTuWLRDVXsLxf1uLjb12j6kEg3zrmxq3OrrI4eDdCQvMy5pW9quW67ZtCmeBC9rg5eylV48jHOgiPYvhaTo4MF0A48RrHKlRqQOKw3pqoWwSF5tyJ2/hgUFZ9xmej5aMb64j05l2rEBNmKsovvbDkNizOtwAiApd3sDp8CYsKIpzOxvRGJuuSAw1cL7E2hD3MV9NCLgbzdFhaukX7MdHQIb5OHslLTG+DBgV6sC0Dz1qqWh3PotSNBB9GQguGY5LEh7IIHQ62gKTblMnRvqFFj0oBYzCkoOK1ScwDprmW72M7RLHtpVUfPS7f0cxvT6UVo2xL06YSjT7RghspbcnuyaO4dlFnxGb2Ycpyz55+IyBTOFtE44wCCI5XCWKXTTAFOVnzlTfsffh7pKfLOsCFyLoeZeS5YM8iZGhHZQrq5BHGw15ra2Wo2MLhxTRlwrLjGSRsiyAj25vlocdxnVqxmFp2tNObrSknP725Go2Mkk5cxtvrUFgQ3jwhlrYrAAELQ1AHkuE1xKmD+0ykXsVp/sbk+rkn4zXyHMicL+9zbpxZ/S5bobMXbU3e2nHOfEJG/KCIH3vt3n/7tfxaRvyEib8SVP++9//Tpaz8nIn9dThSv/jvv/WdO//5jIvLLcqIW9H9573/pLZ1AyotfqAxLHVh1c32++pgbxhSNpikseTS0qA6blmbhzOQxM3IH4B9UmEaMSbFR5R4LG5tlU9SU50Nl8/Y9HannoEjdHlqHMwe9sqOmRiw2SzoVsvoFOJT/mb7P+8d6Nczg+90KGoRf1+dUPARyVeBCARHUPTgu2HC4MM6JLoqIAL2bGl6Ifu67I32N1/J6E/tKX8uMMBVLVNZTDoNK4Hh/poEUHpEubGAkETO9Hfab7a/rmv7yu/f1b1LYkRpQyFjV7gB52o4mzFOMMqv9XxmxHB/coC6CqwE7VYvIZl5z676eRk/LmE23BASUCCdT8itXtCNx546G61gZPNnVN9FDU4qOBCidMoFgcT1n0b0udA/mdLpJv0CsQieYY22QRpUrUqdbNf0MWGRAh5HPpISKzf4E1ApW3oZozBnNN/KFKTPSiK4mTqGIZ7JQEXn2Gb0kjRhnZ4Fs/ZqI/HMR+ST+/s+89/948Q/OuZdE5CdE5F0isi0iv++ce/705f9DRP4TEXkkIp93zn3Ke//Vt3syhF5Z2EOEhHyrybae5KwkbIaI8wVHeqEZXot2joKqPi5AY4qDmg2BKYI6bYJojTSDUVeGUWpiZKQisCmHfAdRjxcva/VIOpDH3wuHD59/fltvynvgvfXgyHhWncXpfwLJGldRFHAMGYdn8Q1le0/zJf0cG480d+fZW/qebKEbQRu6Bs+V9D3409lV85uLRs7HEFy8LDbh/jK0yaBxVSprJ2C1qDdZOsQiVi9t/SWdxzPIFsRoR+vR7XuMzhYrd0Fwz3b06/U7+rl1b+mvy++BG/QC0qJz62xxfvMauZFz429DJJgo0WZJe4gGXccezzVuTEFgyBqkdqKDM34fg0kRkdd6ukCG0g1cR9kCyIHqwIIZj/meLQGlRWBQZcNzfL450vd8uaAd2CECiQxkGabpt7+1kvuWWtOLUOqRRrJnuTevFj4PkCnpjRhtT93Z8t7/gXPuxlt8+0dF5De892MRueucuyMi33f62h3v/esiIs653zh971tzthbWhhkqPrKIVLkQkgB//0hPQk7i7SUdQYmI3K7pxWoETsajnt50/XK0bhXh2jw2ySnkKlhBVYOmzD6iMFbBGXgY+5nhkL2FqriMIcwyb4ciAETPNy5rlOdhS9/DKVKnGV4CAunyLtBCiFuykCKHTKnRfwrxONnyY+marsy7v6/TQe+qa822ASAFSj8wNUsSMFvTxBWDhAkzqs/DKaAECLWPREQqQEnJ77u8oR3M19liCMcU6E3DOSOa4CFGW3kMh3IY3WFiUmcaEQ5qiLNVAiufBSRxyBZ7kdKY9jfINpwnMz/BDWKKL0D6i2ggUevbbY3ciYh0R/q+sAUZ1xh2Q/BYtxlQugGQ8KK+xt2mzhfnVqM5XiOsodMsKsA7cGiZ5rxrt1Z2K2BUmsZzCNrgqUIFPzjCfF9E588YZEqkH+LtPDlbP+uc+6si8gUR+Xve+6aIXBaRzy6859Hp30REHuLvH3pLv+LQvgbOFSusUiSP4zgFUUPyL8KsUIpGpq5UNOH1EXqWjCDNUL6iv49tXsYDcm1Qro4NglHml3e31fH2st4As8fRHDDycEQsWZuipMbgvPAc6az1d/Q9StX0PZohrXDps5By+B7tRLMVBqUiSKDnOpMOIchyLG2Udep0u6Id9XsgPn//sq50ewRRU44r6nYVmTLDuCEvxRBys9FOAYMIH+IkLOc1+tXK6Ptu+n6Cr2Rl60E2R89KpgX5+e41fWyatiOQIX+JhRqvDsCwF5FLeT1/6BzxuAehZHcQolu3YKxabQka0YMMPsJgTbdRVco0IqqV3Y4eV0MEQpSeEBF5cU2jsLsD7fywBZlAAT4zAHJUxda1ZNecRWNzbI79fEz/2R76UTKYSgGV6j9jkW2KxbLwgSLBxXU9VwJIdNRvo/H7S+ensyUSEjAnpuy8nK1fEZFfkJMh8Qsi8k9E5L9+p77cOfcxEfmYiEh6pS5+gZicQ5VY4QhpCCxEVIjPf00vZLmbiNBCoNRaGcreWKBfKh2r4y/k9A4whaNQBoLQRtPUWl1PUoqqWiQKKbpLOrVDSH26pBcqVmSFlcvPY3pKsgKLzsoYVWvUAlu9rlGiZhtkHixsjZdwTRUsdEgTUgR1uEo13PjVjRwmdhIo43gtp52xGkrv7o8034ljNw3EkqlREuR5ftMlojxIuYHUvApHKlsNqcyFw8lNjo47RYTJ9ZlDPNaImMJvMBVcODaPkURnzBVyf1pT29bl2aKeT0wTrubRG7WLi9iKLpx4CN2t7gTOGf1+VKUaXS0S6tFoegYpmTlQ5PWSLZDh2OZ9W8ujPw/uMzWoBIULhRpQVcx3jrMlyN90xnqNbIF3SgV8ag0aUCdOr03EVh/iMxwnLPZQIqYCna14DOAdtaRdT7ydi7Plvf9GmOOc+z9F5P8+PXwsIovEkyunf5OIv4d9/8dF5OMiIvmrV31qISoi36B3VS/uOSz2HPCjW3pSM5VCDaswo5gkCekk1LMSj9IMl4E8Uf2YrSlYQUXniLo9j9tY/EnsxD0YsrpJrPDhAJGicRSAKCyBH8RUZ+M2mqdBs4o9MKnGzE051wHp/1kQYr+JyJFtTeab+hxePtaoyHvXdtRxmugciNfUVyqCyzfLaQeT6axj6jPV9Ovpph531JQjETz/FrotkPsSl1JjIcTER5OIGftQTw2+m0zR5sl0YyBiisDFOA1iCe3kL3LNuLqkA4dGE5V5mIAb0N26f6znAvvBkgCf28N83cBzZ8siOAXlmj5/ppNFRP79fd23cwPND7kG0lnwKC4p1lE0gPWiB4FdcsKIBhLpYoU4g0GuyePj6EbaIlY7kMHQDE7rmJ1BWKXeJ0H+yfsTv+fbz84F93PObS0c/mUR+crpvz8lIj/hnMs7554RkVsi8jkR+byI3HLOPeOcy8kJif5TZ3nOiSWWWGKJJZZYuM3Fva3/3glzzv1t59wrzrmXnXP/68Lff845d8c596pz7kffkR/7Fu0spB9+XUR+SETWnHOPROQfisgPOefeJydpxHsi8t+IiHjvX3bO/aacEN8DEfkZ708K1p1zPysin5ET6YdPeO9ffksnkPIyXyAvVu7oSx6tA6oFeZRNmP042j8l6iRiEQDC/MeoXy9VonV5DoBAxJXg9w+AqDC3TjVnhJVsVcEWKUQjppOQYQWEgGkEpjZZmcNm27zm/FUdKU9f0/yGXDtaZysLQGK4Ft0CyRjVn9nDT0TSkKNgz7xagekifd/vjjXx+P/d12gBGwozWp9AjoLPjQgokaw5iNJMvRRQdUASs4hIe6wRgP5Az4UMqg0DCOrmwH9kTzpytIyQJFFZgm+s3GuBB5fT19RA9fHDgubRiYi8q/hIHXOjIfIVgCzHNF03QIqroBFFcixfB+qSR3p3QqQK/EgjakzEBeMorHfjD1zTfMMhOJuGIF+OJrDfWNUFMkcDvcZ1gaRT6JVjn1XktaKei+S55nCPJqiezOxYnt10GQgn2yDlyE8ExQWcyRH4iWetrbVo56Gz5Zz7YTkplHuv937snNs4/XuoqsEbvsR52VlUI/5kyJ9/NeL9vygivxjy90+LyKff9gk4UYO29wII7g1UnYBMaiqHUNLPlJwhekrIQoLjgzFkC1p64lMgb/uyXkzvt3XagIR5GkUUqZJNGQYauTumEXbInEuVowmsXKCZSo0rROCCP9/Wi+VkrjeoFKrWjCwC2vnk2xB2RFUbxTTDkmFLVc1pYhskOpDvqWsP8EpOp5euVfXxK8cb6tiIlnajn1vtc/oetb9Xb8oeFV88X7ZQmjSt3tphUW+K26t6LHM+kYjMCktyqgpNSHJU9TmyQbAR9B3gGtajd7A6NuVny0eR7xexhQi0PlLs5C99pbGljl+oH6hjoyGFikxKNUxARk+hiXMZ6ejOHMUkWG/K7IkUYg/62ik19AtWsmKnorM0RvUgxw0V3xnIkK94o66dOQaovGb2Sgwu21SqI1duFL39Uv6Ca1YGWw0Ffs/azoEg/7dE5JdO1QvEe//GRHgzVYP/76xPcNEuvoI8jR3tEdXNxvqWVNHHcI5qRnINglRITzwMwhUQYm+W9AL96oreNGlLGb0wXa7qDethBxwr+CnkH3igTuShUTSV/SXNphvi7E3RnoPnUMfKwdLvOBu0wZnANXlssnlwuNiOh9weDw8yPQGZlW1ksvYeVPOsStWfefhIVx9uXNUwTS2txw0LE1oPNVF6+6YmZreWootBWu+DQwwUl/0fKcpqUgMhwo5EXSkJkK+D1E9eSze6ipXPyWhC9aKfe3lfz+dGKdrZWi9qh3glY8nhI/DKxiT5476uFvR33IXjsVLQTjtRItOkHejcoI6G5s9ox4I8Op4f10wGOo2JLRLogWPJ9jirBT1/031IOaAZ950Drds1QYshom8MmncHeo1kL8Sv7GiH9qUtXU1JJ7vVQkFOSLRFp9cTaQayRX7iNKXv4bdV8Z8/F4L88yLyYefcL4rISET+vvf+8xKtanBudvGdrZRXaFT6IZSMWZ2EliqsGEtDzZ3e/AoFmMQqgdNB4ybF1EpwCFHUK4TE0b+RaupYrLnYM4okQpF6oBdC03YCNu3ZECvT0b/JI6243AAAIABJREFUyDBD72Yefc5M165vaoez0QLZG2gBe+oxSqTfwLTj2p/oDxy+X28eYRpWvGbTHxI95kaA2/YDPY44boqXQDpmQ3Bck3mKTCNWUYUGR6f9qkZUZ9fgnPXs8kL9IsoEUECXqc3iQ7S2uQSUpsbOAPo5LL2mz6dzE+e3zLYyOtiaQk6DfQ8bgW3CTBFSoigkvHNckND+3rpOS77c0Y4BaQrTmr4Hz2zp6mfSHB5jnA1G0Y5MYOamDZS4pvxH26+r4y83tdzMbA3oGMYBCfYPOzpQ4fvZAukQHSwur2n5nXdva427ZWQsKHPCSkLKbYhYfTKhYnwTTnkZY5FyE5jeQXQc8lTNyzclarrmnPvCwvHHT4vbvmHOud8XEaunIvIP5MR/WRGR7xeR7xWR33TOPRvy3m8Lu/jOlncKJZmvAJpF6XhqhOpEVgri/Rxgnz+6bk5hBZHqBOjX8UTv5BS3S29pz4CNZ+M0q1KrUC7v2A0hyvw1eCL72vlbyukob33LtiA+TOkFnJIa1F9KFdDoFQhIJaevqYXeZkTX3BBVY19G+40tbICsns9CEuQGkDQgpiw9FwlBCGIiwc839Vj6y5tfUsfUGmOKjY4LG5SzKtZoWu1B7wmI5tpLGpGlU+FDdLnYWoYoTAetpOY9/VwoDMkG40RxeQ6dW9FVqDM85zR2uCmeM9NZ1/LakREROUADRo4DIlOmIhNp/o2s5milgFj+9vF79efZ3ADcPnLv2m0dOKS4yzMbQGQ7pKKU85vVgA0gXXSWuI8vQZiZ73egIdC5eg7yNkTayZuLs9kAqVjOJRGZFaEdxn6u7OSBvYYpbwaAHMtnbd8EsnXkvf9g1Bu89x95s9ecc39LRH7be+9F5HPOubmIrEm0qsG52XeBsyW6KSkWX485y9Y1TKk5aKNww6vkbK6+PdEb8yZKtSl6SEXmbkd//vaxJkqvlvVCxnOmUOtmXf/+48cW9l809ocMmvr97A9J/oSITQcxVWHej4Wod6gdxBSU+i8t62vq4/tHTb0ytZ/Vr3OhIgeLMyU7AIcrw1SsGBsjuuamtF3X1/SR9a+p43paP+crJR2N3y9pHkyBRGXu4WxphE2dDc3dARwhLK7Uf2LgImLTbgcDvQne7Wi0LFvX8ykA9y7dA7L8CjToXqSIMZwpzP+pPh2TIuM4ZjC2lLKczUFaIxZTOMXNkLSbPgnw0pyebz1EBjkKsaK/5GtH6FSwqdtEdZf1+TaO9E0hpXMEAj3XAxGRmyXt3LQDvabFKak4BKCGJwrdLYrPvrStr5HO34Oenjt7PX3NL1R1GvHxgFQN8OJyNv08zsGpZvNqcLoEz8008gD4tzgUvxlpmm/FzoMgLyL/RkR+WET+7Wlbv5yIHMmJUsG/cs79UzkhyL+hanCudvGdLRoiILZtYXAwBSSewSRiSvDPr2h4XETkD46eU8eM6mgdODMU0Lt5XUfPrx5ojte1FU2cJtm8jj5fO+wbiDDSVK1hEWAqlYu9iMiEvdDwHv4GxSvXtrVDytTHLnojEjViq4tsP5rUnwUnS3AcoB0Ika3p0DqTTailv7ihF3A6Hitp7Zj0wYBlFVtjT28AN5f1ODFtVvgM0NYlwLjjPeI9NuOkbsc5q7o20NePr+/uoboPBSoeXJ2DDwKSxD0ao01LBs4aeyUSoWRa83ikg4BXRzqlJxJSbYj5+MqRnr8vretxkSoxAITgL3X3wOE8Es3l+77LD9QxxXO/dripjs3caEMUWdOn5PmyJuyLiGxldWDQhPjrcysaJf0aArZRN1pF3/R3xfStIB3M1jJsLM2UfwWKwNwX4vpPioiMY4RO3ar+DbePSl2sWakZRU+f/PtceiOe/Y9+QkQ+4Zz7iohMROSnTlGuN1U1OE+7+M7W3KlUIVtRsHfaDNE4+Qf+ARCWF7DJhsDP5H3tDnVa4VpRE1RzaKI6A5pGjla1FC2kmkNKjvyJGfp6EVKfYOFj5V4LyB2bxIpYtK6MNCDPiRWStCVwKJie2jnQG4wUudDp514+QK9GQFMzbLoTKM6bUDIktBwAnauiYikoUOpBb8K3+9iUK5pXcumKHkdEGEioJWk4BxHS4LFGA/n5zYp2lEoItYmUiViJjzsNvVN//9Z9dVxBN4T+XfDWiowUMPbwGLJIO85iKriYms080Mha+aq+5ndD5kFE5OMPf1AdF6HIfrWuHREj5VLWvzGB7D2rmbnepCr69zby7GGkjU40nyPnPzmdpffYakTy0shjpa1UNfXiABwoVn1n2RINwVpjrJ27FSBbAyDhFDWlrMm9L2uOWXpTr8G9feT4RMxYnGFsmTUPRQHSQMsgIl0Lp3j2yNbZE+S99xMR+S/f5LVQVYPztAvvbLm5Vg9PodyW6aIUKrCMbAMkBVh9VGFeQizyQ/X0EqKmOdI75B+RT8Cee4zKxvt6ofn/2XvzIEuztLzvOXdf8t7Mm3tWZS1d1dX79GyCEaglEIOkAQuDhYylsMMaIDShQAqBHAojLEVI4CXwGsbCAZqQCRjLAbKMDSgMRoAghmGmmZmeGaa7p6e36lpz327efT3+I7NU9/2dr75b2dNV2ZOTJ6Kj68u8ee93v+8757zv8z7v8zSm43cYqrO3dyCbgMBlrz1ePZlznxsKB8sG9ZY9pzJUqimjwPIPT4AxcX3J/qCwgWvasMeDNLXK7KEiuuaSMBivdu11pXL/csYGT0sZuyk3gXQRWUqPkfAgX4qk/jb4jbnbsPPBhsYNKao2tNu2z+L8hP3OJXTaNtEsEgRXGMU1+/vmWaABQPeoXZTfsX9fBQo1WLLfkTIqpYgy4pNTtoRFaYelvC0fs0RF7b/6wD43l9DN/KkNy/onMsW5twnOKHW1UpBtGaDTNzVjv3OWz4HCZ5VuB+zA5LoboPMIthjAetljBldU+if1goPo5JX33jTHVzdsaTYxFe4DPayjffC8MiUE1fv22S/dBF8RFmLFW3evSbL9kP169LYI8t9Q48QHWz7pjZhcag+EeJQFchvotEGmTBsZZvNRY6tlEY2npy0iwYk8gOxBASar5BP0sRjDh1b5JbuwcLF16LDsUpZh0WbC1Vt2MyBZda8ZBl8MfsZyNFCW60KSozEYZ/cDjgcpFCRSYyZkq/B/nEMX3RZKeEQDaOYrBenmW7t2gS7M2ftMjlYUamrOsRMfRA9R/iWHjFpE3S0gmiiDVCBBEIyItbcKMjbJ1QU0c7Bsx/Z5cmVacwziIdA7DZQYwVeqxQfDHvK5ZBNC04flLpag2CXK96A9VhcJ4oCiqPj7AgjwA/CZ6N94DZ18lUkb+LCz16fiN3IGg5K0CtNKJhZXJmzpcaVuX5/AZ+ax7lKElN2HpG4k8VzkIEmyvmOrD4NllOBp4g7aAC2MJKlHyQyU6Qd5zG+8voNOW4cyYnfq7vz3qYcc+PhjKSN+XY0TH2xxDNFRNaS/6Rm7ELLFlz6CXPh2yLBVGNxw8WWwRZXs1nX7nkvP2saKahsZEz6vuWuDnxlwhW44S0rOgFhNw+E6BAkDhCRCgLQNra5uGtcV15HG1dQCewsbBGH//W0b4DJM6YIKBL1Q1ZdA9sZz0pwlZ4ObdLjw0Pvsz1yxqtrUY3u+bhGKpwv2vmcAy56dtFydgHsHUUSqai/CbPerE7YUm1u337kEdDEIBiM4KiwfkzBP/pFjsyGIzw5INEVJqTCf3UDpBr9vLII20ENwlovnGm73w/LRPhTfS+APMXAgl45yNXp/8BFmnCtaBPS19rI5JnLNpp7tug3GCl+w60ftSZTssN68WAsljWj8TOFV0ggC0VC6VOBZ6+Ec2KTz0o5VD3j/rJ1LLJ3mgJQ10YTQBarLIJxopBR2+6ay8G8dw+kasAGaajmZu9/hYcc9x0SQ/7oaJz/YgoL8sMBdMxW+fmRcXbeckvKEDTw4CWfpF6IwGCF/gVlWFzB+/rx9zyI4Gb00MiRs2rlJ8A+oMI1JTq4PScscfH2L9h4KORT5NKxd8HsGVzSevX7L3hdX5+JnPz+7Hc87SXbsNZh+xWb3W++1wdvECpAt1GpoYCxJ2XmLBM2AmMz79mTeGlGv9Gzwk8QGdRbdiexyS6ETjwgL72MSchnUIivjB9wwFdGNyHJRe4w40HAb5eFJlIuAbA0yQBiJDswjkAFBvl/AAkBxXKARO9P2Gu8MQlkVoipMZmjcPFe0z8XeRfsZVXgQMZij1h/ttW4DNZoAEtaCALF7P248hJ25s9+qgy8pabG4H/xsdJCOMc6QfKsTwYkaGez4rEza70CCOy3J5kr2HrDjk4R7j+SwH6Gz5YEwJvJYA5GMDRu0SbKHpDZ0R9wSfOLhBz6nwVb8OPHBlkt6ZSt3N+ou+EspKEr3z9uFkHos13csJEJfwyrTD4XkS5Ym254+fGiph6ggF+vVXQt5n5m2CAc7eUj658JG/gIRkn4JGRpFVXMhZ6O2gfIKOpioFeao1A/bFIfFswyZgvVNu6G4m/Y7Z7D2M57cfcLeV0pDBAgI3iBdCSVA2MhARJN8P7b4r3Xsd6qk4yU/2Ck3bi2sQeMqkIoAaMsggRtSYSEU+F2Ej99Ki9/J/k12C4nEnL1GPQQ/DKL5HRKt+IuQrrFuiLeD9APlM3iPpPA6MaglFaEOUdI+hJaDjZ9IOZ7F/ky8aj+FZoPBuAel3ULR3pPL5dCy6PNr58zxnz1ru7ZLSThIsNMVfEKuSWWgc9WGXYd5zXmNyD8MuhMxV4lOMmElFeTgRfaQ3Nw0GlQ6Y4ItdkQfZ6xzHAT5r7dx4oMt760xMjNdrFPKIts4V7T1pc2Gzahe2bfw9NOTlo8lSfVGyGEw54BZlIMRdUD2xqBuFnkwORjP0gyYZQCKLHIhSgDxoG1MfT+Cs4WOyq0azLHR3efhNZZGaWUa2mJXr9tOvTw4E+1ZbFA3gYhAzJKipuR4kZxKK5sowdISygZUiK+B63IG7fLncpYwz0HNp616vHgtk4CVV+019OiGSkQZjI+Ml/Zth1ZrLUQfKo/a+/abrz5jjr9t+nV7Ds9AGgLcnV4N/pJjJKtYSiVXL1OHRh3QOU/rHJTYb7YijKhLdk3IjkGK91pYL9ClVoH9waM5Swv4XP0Rc0wbGJ4zrXOKSGSIzO8hCODvqaklSYklNCKM8U8MBHfZeTeG9dnas9cws8QEEX6OcDKYB7p4MWcDSFYniFopitc2RouruWXvg4MUSwrIFzlcpi/hGOKecSLN3+jjxAdbGjirQo1Nn+4afGCoo0W4magQs0wpFAWldMNcymb7DK7a0BKiqCnJoXSw76yiGxFt1VQ/JjmVZFPGfit1i6xF+QISViengd2EqVr8daYK9qULlmDLDWuAtT2JYIllwb1HwdkCWJfdjydSMxOXIpS7Uf5h9jwFL8S9gb2P7PAiYlrBprrubSBQ+6rl6s0+bTeU7dctLy7VtHODwpTfXLlmjl/MW66QJE0Cwfjux18yx+RA9iG1kr4cX44KkC2MATwyqatVO8/SJ0SMUZJjk8HNblhCe7Zs+UGc/+QfLYE7V79h5xe7lzlofUP+YxVzg6LIt7bsd5iDYHBmG5SAi3ZyTNILS2GH5SMz9lk7k7JJLdccdiOym5H3gYENBzu6N3cg3Ir1hqT/oOzZBE0hIugnvzALOZwu7LH6CK5QRAnWpNKNu+tLgjqBD2GcdiPGj5MfbCW9kuW7DyE5Hhysm4+TWSBP5kbLbmBSqNXDAK6QgIUJNurJSVhdoHOG58SsMH/WZmkBHwJZGAX/qPY+mIjPzPs7IZLn+ZmAzNkNtFeK/wxC1rd30CGJ0gaTruYiOFa4z1zIaDwdjPsQNWQ23UJHZZZlQURwu8gM3mzaoJv6SUFXGppDCo/ZZ5c8F6JAfZg630CjxPlpi7wlc2wBDQPKs1l7DvzOw1l7I/jskhtH5RUahAfOAOxixd8HFikVe/50KrgwiU4LhSgMy71EOG/u2mAnhY08hy/x2ztPm+NvmbWNF299xQqtzp+360FAK8B6wgSU2mS00uI9lqSdFlwnMMF4zPIsk5dLJRusfWHDlimT0BYjN7CeoFSMPd80rsGrTSv0+mTRopVJzBW3GCJ3fg3uB7T4wu8dZEmI2lZeh0zJ5bvfafAnD1vz6pSzNW6c/GBr6Axy49D+TuUGlhHrKJExkKGWUT/oe5Na+/EIRg+1DGY8W7DLeOqK5TtQVJT2GeyCqxRBeMUkmcvbrI2+Yswa2WG23Q0nHctsxbwNMOl1SFslDvq5PbZgSxc0492Cpx73g14hBpJXGKy1J1FGQPdUuxXKMFBvjQgHkS6Oja69D08UYbOC7JuBCZEpmkDvoQuNGlQO932cJ+dgP7wGbTzrN9s2OXl2wuoXuQiEcHSwQzLFjnv8+WAC3YUoC5LL17AgUTDyRCfobH8fgx2Yk5ifazN2fhMJP5+3Ad4CvBNVtudI94Vra+hGRtmRzSzUOttftc9l8vHwnrEsRwSTAWcHnbLkN3GQd8akmmK6RIGnp+DWgCD60UKoim/e7wzQxp0IxXt0vhI9cwsg3UPElGvS/jkk8Xt33+9hi5qejvHj5Adbp+N0nI7TcTpOx+l4oOOUsxU/vjGCrZGHwAcK0valQR0dWWcqGV/emkqHfIUE3d2pEYNj2qhoj0rh8aass8jStihKyBMElyCHzJd8idwqHhtr/ajsOfv5ktRetSUw8kSYbSca9pqwVPEoOB/0h1yYtCU1ZoXj3HUSffqOsexoX88fUPVfCu/bDDrv1jvg5qC8TKTqj3asDtcHp6znXaDCnUP5iuVh3OchysVpGOXe3LPlrsEc0Mv5sBtxCy2NG2jhz8DjbqJkoapg/gHESbVwYyiHhmedoqZ9uCPQQ7P8FpC0S/aeUg1ektKJsJw6Ohrs4kyH3byjgyW3P1/6ijl+s2tLXgk0m1D1vgfke3nGlnbZmRc0r0Baht6NUmgh1MHCuzOwz0ET1QBqD1LWhOtJA/IVnAvUTww4oTl0iAI1zqKUy07C/lQILQ3ROcvgZLgzRpSYcjWgNnRHCPNj9I8fwDjtRhw3vjGCrdHBFt3AM8+OIrpmCG+nxnQWSdKQREfMBBoOc+LPXLZcmI2W3bBo/8NgbbhpF4p2CQEhrkngU4hFojMTX9rJZ0O+QqdC+QtoOKGuR/HKFpoEMvP2Oy5Pw8oG94ncnUzVHs+8bDeMnSfsBsjFq3gbhPr30Q8oXHiob8b282Iqnvj8RD7eeWCcfU8fpVTeA6ru93DNPDgmsxM2mOIGSu6PFBKLcyAFJ1D3q1VtCW1h3sqawGZUQwTFQeMC4p4zfwhBz2cgi3DZ/r7zmD2/4piGGinkoXHsUA+NwQrmZ3fMTsr7QHudqy9YflPxir2mtY69BtU6uosZxKMBR+8Lz4lrShPEr6vwAWUHZQ+dsJRyoDCrkBgs5G3yda1mS6cslZIuUocQbC8Rfw9ofSVJPolSJkuj0JBTFfMJjxZ17xK1u58ZcBMfwjhFtuLHyQ+2vKwuDOYIyZ6MzikQSDV1jnJAGpHSE1BcploxMtWprP2M61ftQnT2Sbs4btRtVki/uYkL9vUlBEPta0iZLN9WqR3wJ8DlKWGhu7UZtr9nob1FEVPymcgPmqnQQw8aTz146HnY+eCc2TC19yhej5kRYfdmB9aZyVL4nFDckhsOuTsMym917QZxvWmPz+TtfQ4aIXA4AdX93Ro2TQRXNG2fzEDzCufbqIcctAqCrR66VEkeJyoT+D9CQ3gYDw4oBaRq9Tn73GShrpHCcxtIEOB8oiQNyE+ioOZ60yZPVFenT+gehFM5d7agYp/Ys/P30gctL46DhPl60l4jB55bctE+6xTnlcJnn0HpJ7cAj68AmaogucrZ5GoL3YluEnY+aZwjubdATOtI1nj+O2gNzEDGodMJt9YU0S+cQ2DcjjWLlxXNwCquj3C2HrI14qmC/Phx8oOthLVJ8C1AucgamYNOIn3YAYk4PR+PLkhSsWA3tRqI0GzpZ7mpMGc3KC6Ge7t24p+fRJcZyKMM5jbGQM79Obtw5a/axZf6TjNTYRmR9hm7uI4zeRv9ZCBm2T9nVxpa2xDdCzZtbBDdMgjxyARJoKcPWbDr4jDKsmicKvY4G6evQNONwc64we5CDpKQU7vxkh8LKJkxiBhSe0ihxdAufPrOQwGem1iAOFyw17n8JhsXxligZBhQxr48kCxhyT3Kv3IXGzPJ2gsFGzGyc64A3b2NnoXzeI1Y4vIVSArg85+be9Mcf3rrkjkmqsTBRCqqjBjYceH42pZNHIbzds1xu3Z+U/yW+ocJooFIZJ6s2OaS16o2oe2gM5fCs5s+3rw7iqFO5JiDQbVHyZuJBZ/Vfm6kjBjfT/DOD3/QkXg67j1OfrDlZDJ0GtlyXeB2RAf7s5Wq4kaJveMKu052O9RLAmcDCzjF7prQyfI0rgY/gpOAwVxrOb69Pk1biSm7sFDUlBwxSSpBiqEMNXVmefSwZEC5XrQbzjw2rJs1yycKpRxwgoylEGyxWtzLM9gCwhHBu2HmN4/Wt6/WbYs+FeS/Zdp2of7u+pP2/abtNWBplus/A2CeH30FhzC3JYq7h970RDYssdfgsMD3aAOR7MJTcwAuDe23umXsMrhNRAMoWUVuHsegjvPBrnY2G0o//PGuFRllOZko7R5EhxngfX73gjmen7fP0XJm254AylFLj9nXU/uMIsbUzeNdpRQNn1tJemrCWk8xAKVUS43dv+ATMvhZmLDPfhPPDRMBIpD0Cc2Bu8vqA9FECkNTW/HgNfZL8bq1UnYf4HVmHM81rTOSQD58ztapzta4cfKDLQ/fqiKUhAGxB4EGNqyVPbvJvw8VsygIvYxyDTNLfgYh9kTBHlOUMFO27x+UITAHGii5UeiVwRgNUkHl0W47ntMhhQs4jaO5GKbBqerNwPsQ9+nldYv60MyX5aPsDgIJAJIMtlhu9qyQ4TtH+UlyMVpI2cB9etIG0QzCSwm7IS0U7KbJMmQGpRGiONRzo7htEmgg4wjOlWt1i07QwkQK7azWu3Y+MVkJVLaxifLZDYBlJFMZiJiOK83wvtIJYa9l/+B6Cz5UkhZzNhAgRyuwjhnGP+tMpp7N2rLg2gBWVXgUn5qw3D/eE+qzZRB4tHENmhAkZmAihcHJKmyNHqtY6ZbXZDXkOisQt8WXYrI2h4SUulirXfv5bMAJkCqMV3ZtE8KgbudOfjJsDqnW7HVOQGA3cAqhvQ92617JviDVON4y4ilnK36c/GBr4IxJMfkGfD7GWeOcmUJWmKIxdVhGJHlzOmsn4s2e3aS4ifmqfc8myKOpVDxJn78nx4uO9dSgodArJzJ9yKKuYRfo247shkPj1+Y51PUQ4XXQTfT0gi0L3Ni3UXC9DEsk2LcF6xwuKREQliH5Biz1SmG5tYzA4g/3HzPHFzN2AyJni/eJhubkmTDbnUbpNr1sv/Rqx254/QK6ZrGpzubsPXzN2w1JCsts1LFbR4msDduVZBEbOcjf1M1L4Pedafh4bsbXWwK0D6XRcs7ew0cL1jpHkq62cB0ReBTxcDExad8GUmwB0IATxoRvCIFgeit+uPyyOWYZkR2gySL4SQhMGsNQY2qrZ79DA/edyclu1QZXqfl4rizXzHLW3hd29rJkT8255qo9X2rYXSxbct/tpJ2bLENKIUJJNxIOl0fTUBpINOLBXHWEID++b+sdHqfdiOPGyQ+2nDRqYxWURvrxDwg7e25u2/LUxKKd1ITkJemrCbvpkE/EQWQpt2iDs8qE3STXd+wGRW/DLjgXszCq3kfGFfAravb9MmiXZ3DVb4aPVSJnZ38bG4qHNyK7BxNT8egdS5nsyOyXgfLkgOJ0yPE6ovQDBv3ipBCxTINbw0CEBuUk5e6gHD2btcEOg60kTJi5QZ2dsM/FSsra9aRhocRn/XLBRrCfcXbTlsLyD0WBA3QOqC2ftWEWPDE8eqQNEHBkowQTifYYx4kd+ApOJUPpl1tNlLTxHZiwsXkkCfNtPusvtm13IRFRhyYDlq8X0Q3Nzj2ueXz4J1ACXOmFlkW3W/ZnbGgpg3+4PGdh1JtouuG6TMmN7Q7mCpoGxqHAjzxukbCXazbCnUXCTBSKgZUUJs0qI9kBisslBmYLSvQg5TIitHwcZcRTzlb8+AYItrz8qIwAFl8+0STgcgOsQDYhVIMf/5SztZvSD0QsuMFUcnZxHlbsd9rvxiuR06OPgxnK1Fm7kNWBGtGOiCr9UhiwnbtkURsSytNVex8yy/SXRCabPhpZHImqhjCiZiVk4rb9QW15jAnf2xh/pfKCOf5cy3J9nizYDaAEvhODbLbbp9rx6OCTZYsOvoBmEoATmk7Fq4JHrb3sRnwEARrPmVye7W17EuwW7BdYD0apBvM/h3JyC1phgb0X3o/dyVRCl0IOJoNkBqDk0vVb9vh80aIqbwGBZJcqr9HFjL3mbDbZakMTr2zv2eqanf/FaQbQIayy0oj3W33PlOV0MRgjV+71FqQixiDLLE9/tWETYHorMoH9lqesBRITnySSyUQifPr57HHQA9eDp9aete859yVwb6dHgq1jAJlOy4jx44EHW865X5D0lyVteO+fOfzZfy/peyR1Jb0p6Qe993vOuYuSXpH06uGfP++9/1uHf/NBSb8oKS/pNyX9qPf3EUt7SSPoVW4tviRG7RMuntuAtzmutUPOxrgutM/X7aYadNpt2s9slO0mt/aWRSAWnr5ujqn5wmBv2IwnShcBse9DHLMyYTeczVpYSnUoPUR1642O7px9/STIpHXY8UykwYsbxpeHUEkJEI4+7Hv2L9rnoPIq9JmegzhmxOeTt0Ky+DY6nM6kbSrL7Jyb2m2YIAcBKB5DooMkqxMJY1MBidA9ogWZUOyniHIOyzOzaLna3beByfycDfy3dmkgjA+kcCTuexuJCmMlD4ReB1NCAAAgAElEQVS18iXIc1yAjEPPBhVSiDAGHEeMwEYJAd8ikKlvm3jFHF8r2ODrsy9cMccsM77ctZ5EZwsW4bwt+51WmpD4AGeL3EJJms3HJ5QMhhroLq4s2u/Ma9qgDtaQKLG9b3/45cft+Z213/nyok0G99A1O4UFg5pyUch2Cqx/JtH5op0bzW3YZ5GzhSad/ujxQ+5G9P402Bo3Hgay9YuSflbSJ0Z+9juSfsJ733fO/beSfkLSjx/+7k3vfYQsnn5O0t+U9Mc6CLY+Ium3xn66kyHR9kr2Ac/uxD8g5Df0N+1CyQ0nqhtppWUXq2rPbjDPTtwyx5/p2PILFZpJkK8sQ5QQWSEnQcAnwobCYCuLkhwlBEpZBB4RXWgURuV3YBOBQ6ZImH+rZgPQ6Zxd/Bh8OWjYkBg9cQtZ4gxkEBCMNc7QyDa+o1OS9nr22SFXj8EKOVHkvRQQ/bCMWMXnUR2dASuDNyYigfYYg3YgW+wklKI71UZHE/MtB1QmEJ8EJ6uwh8YKcPUo9ghv77BlHhytvaftd25DwmQT/pVSOJ+ITBMR3AMHMrkHGgAC0hKQscWUDdI9VPnX+nY9+uOqTfb+6E3rTPD0OYuosimB3KMognwV/q2Uh2DXN4OVXSCa049YtG0LTgQUZqWw7IeesXIX14HWbzbsg8H1ZK5s78HwFjTqHgsFirtz4L4B/aJqPtdAhwk4KvUg2UThOOKeU85W/HjgwZb3/pOHiNXoz/7NyOHzkv5q3Hs455Yklb33zx8ef0LS9+l+gq2BU2r77lM4KKADK49yFVAgblhTF+xCRt7NBUD0kvSCs63ahMj5HgyG+jt2Es7M2zICO6K40TPr4iY7Dt7m4CY8DrmTFBCZ2QlHxXeWb4IyATZyEm5LQHVY2SiuYKFbgJp6O/47jZN+IMlZCstHNGGez9gFfCFtg+gX62fN8RWY41JLiLwVD5HE3aZ9blgC7y6QYA/JD8BE11sWYY1qf+cmSwSQ5aEsgiuWwB26wABgaAAJkSSgrwHF2rFHsqFm/nkEc3/Nng87DSVpKmODq+msjdzJP2InbYely6QNND7dtMHROUo/oBx1u2MDi6WcRY0uLdk1bCoDFAdBAGVcuJ5JobTCLMzuiYYV0XGZgzA0EVFysDY2gDCet4dExjZRNqygm5AdpZwrfpG2UhHIPbhzNM+mxE5/A+s6ktwkOFujlNDjMKI+5WzFj3cDZ+uHJP3LkeNHnHNf1IHr2T/y3v+hpLOSRuGfW4c/Gz8S3pKjSbBNx+ulcBPnJCLZvRwBoTPiZ1caSw8BsjRvFztuWEM85NzAyB+oA/bPr2KTfRalEgQOfQSs5DtoM8LxPm//Zr9hF8uA44ANgqThM7M26GVw1cdiWLyNrjRIdoBKFHQbZmpYKGfj9ZyiBjdZdkTdbNuTOo/AncHVGmQT8kA4Xt+w5SQiU1SQ34fYLp0P3KrdMPncUsJgXGevFCIYZ/P2vn4FHY0MulM1ex8obxHqbEHaBSAMVfIZbG19wL5+DoEROw2lUO+MjRIMHGqwxxninFmOJin/1bYtCyYhHUO0/iyY1ywvBxzSBAPY8feZwVUZASjRsPUmCO2wBKpfst/hNjhhLP+SDrLatHOHXqYTWc4N+3nU6crBuzGqG5FSKLVd+52SQAwduHADrJmBMPOoV+KxBFunyFbcONZgyzn3DyX1Jf0fhz9alXTee799yNH6Nefc0/d8g3u/78ckfUySktNTJsBiOWlcFwkXd3KN2G5PbzdJaoO4PINOlqWMXexe8DYN6zTt329kId1AqQg89K0mrGwgDNlags8fOCUMdNgpyOBN8yGEnr6BjXwR7ehYeFjapFDqBaB7Mwhkalgc2zPgmVmaS6Cv5NB9mG7hvo6RaI5C+8ih4qa7CcuRzGR88wU/4483L5rjiTx8/ZL2Gm/jmm5O2eMBrHRS+MpE5hhURC2+lAUgqf9czt7XRguBOwCLfsnel8wOrlEQTNnjZPfepZioQXSB3/Fa1V4TSZrPho4Ko4PlZSLRHp/J8nMUmj46hphLTERudyzXj5xO+gKSA9oKxHHDucEy3DTQMkozsNS6Tu6d5xpkzzGVH9PpC5X+fC6+vD0BpK0FiZ/mrr2HmVKI6tJ6Kg9nkQbLiIFdln2/YHolji/Y8XKnwdaYcWzBlnPuozogzn/4DtHde9+R1Dn89wvOuTclPSbptqTlkT9fPvxZ5PDef1zSxyUpe3HZjwZU2U22ikO2ABsM1Z3TWAgH98FErKFsR1ieC8F+B6KlgJcvTtkN6bUtW3qZyttNneUcBmfpffsd9iHwR7Qvu2OP9zKQw0D3oiTVzyAbB+G9W7Tn2EvaRzObjS8nldE+T4SBJswsG06+BVQGQXftrD2fwjoMk2VHFEGeyBM5UpUx2T75QOS5LBbtdadTwTbWQtqsrCPbZyZOZIylG3K4GlthSW2zb78DNy2W1Hot+HJS9wrzlwYOAyrGg/RPiiXAwqD02oNBOvlK94Pm8box4OR9qU/Ya0RF+m89+3rs53nwJUkef71uEVDync5MxLtmdFAipGSJJL22az/j7BmbYAaK7LjPlL8IEE4gU1zzyCdsdGHvhXU9oGIAKiLSlQJ6OFEIKxy8Tovgfa2AOjF4GegbJHfSDSTZo78+DmTr4X/k19U4lmDLOfcRSf+5pG/z3jdHfj4nacd7P3DOXZJ0RdJV7/2Oc27fOfendUCQ/08l/dP7+jAvg5JUvgpO1iV0/kGigKURojgDLAq1YdhpRC2emRyVwu17Esbv1CPKciNjXK2cxMssAht25nFQtHCwAAQD4nuNWig9QT4CsyC2+O+CuVwCSsPFj5s0y7/0PqRCBwnx1NWiMjn5EhxR8hoTCNwpnfDlga2Mk0zODWOza5Eo8ko2YHBMn0CW8OroABsCBU4iWOPc4D1xEY0STCwYaLDck4CAL+UqApsl3hYcB92GeA4IygQiyDlu8vYanpkIEw12F5OzSX/FMpKlZs6+fq2BiBAjgyA+AZSng2BrEkE+EwUG7QGfEs9RlKgpkSpWBBigbTehGI/OVsplUFevm4oPMEljoKQPqRO8h+RHuut23W9diejERUUhT1u2Pewd55CcrWLvwWXOb929phEGFqfjHRjOuVlJ2/elhIDxwBtEnXO/LOkzkh53zt1yzv2wDroTS5J+xzn3Jefczx++/M9J+rJz7kuS/i9Jf8t7fwfG+RFJ/1zSGzqQixhPjj8dp+N0nI7TcTpOx4Mdh9IPR/nv3T6cc3/aOfcHzrn/2zn3fufcS5JekrR+CBgdaTyMbsS/HvHj/+0er/1VSb96j999XtIzR/1813fKbN/NUnaeQlaGBIScrkBkEaRidmQxq5SkSWSq5HDl0L3T6sdn98w0W0CS0hVKDaOT77bNGpkFsQxZ34vnU5FbMDUV+oK1u+BIsIWfZQMQj2vg7swW7Gd8dgPtRhgUSYVncsBDY8clu9SIhHFEmbKybEhtocl0vCQAOVFUX59K2+yc8hpKxWubtXCPBJSX/pI8H3KBfISK9jQ66S4WbOccr8lwC+k7HIASHd5XIE8850BPzR5nUTFrXYbPKK2t8B1fWQstis5csm9K1JVehwXMjSxQYZb11vq2jE+UaAhRVKIyJfCpeD436xAx7ti/HwB1qvKiSjo/Yeu1RDhXuvYz6CNIM+zAPxaQZglaZaR7pPF+RHnZPckmgc2WRZX7RehsKRwsdZILOzVrke69VYtgJtvcu4Duj5iwR7iFPfhx8uqIPyvpv9ABU/TfSvou7/3zzrknJP2ypP/vKG/2buhGfKDDJ6TBSDcPeJiByKFKdmFjbX4H7fLVgV1YasOwhEa4mGTRqFbpuMES1TiZBC7WqQsIptah3zTm/VHl1DSEJgnRS+HiNk6TZYhNrAV9sw48Kh+dsiTht/YtiRg6kIEaOgU7qTDvQU6l6CkXGi7WUigmyTLhG/vgzkza70zRURKr2WUWDMQ+aXbS4Zp7CNH6bbuCk3sUeDVGlBHJQ1ttW8b79IQNxvJn7QbE5IelUQ+ScBZkOgh/C5JVYyU/PCRMyNH64LI1hZbC7mOuB2yMYHmWPNJJNFq82rZWMgxYEw3795Q9YGcen1P6FnqImtJqi7QIaXxw9Okdqy2YRGJAyzE+RxU0yLBUy2eV943nww5vJk8svaqMe5wNaQR9liYxX6pMapEboXdE6TqCrcmRczxVkH8nRuqOTJVz7qfuSE9577/qAvXk+3izd/jk3n0jIQ1HeBYDZiDV+Lbm1abdDIhs0T0+StSUasgLBbvzE/GgcfW4jCFTDCf26BgAtZmaQBdMz3J7mOUlIKo4qEDdHWa8m+uhirbwmRtt+5kzU7B+gfQDidDb4MHNwQSZ6MAupB7mv4Bs/BH7HYmAcB1JNUgWsofMWqVwwWeQTa4es3EGqERIeU3HqfQPEES32FWKe0AUmAgJNw8KjkohokEuDNG85rqNjrpwT0jVwSsDibhTARIF5CsJZKwXtCcjeIMDReminXvUh5IiAg1M6FDKJb7zbhvI9kcqVnSUoqXDSTsXyJNrYn2i2vtK3b4fzb0ZDFJ0VQq/I5s9Xrm1aI4n4RvYvWUncOLZeEL7VJY8NHuO8zC+3wMKTCSeyDvnHi2RKFgqhUno2ZJFKCvTECXesLp15BNS1JSJxsMeJ1Bna/Qho+nxkb/tyQ+25E32SwFPlovcGBYbrSnW2jYrpHaSJO0BDUtPUavLHu+0QEjFRKc0Awf9HYc0tqVUBDqsAjufIhAKymHg9Yl0iGgQqUpEif6NnhMlOpDpMjPdhp8bv0MX13zzffHBFacSPfSCzBG/3omwdeoswvwa5/j0pN00SSK+1Ua5CAs+u1z5HARkcfyeEiMMNLpQYyciEyC2uRCxpUURvwNHfj40djanCMJ6ILjL+Y5Hk2Bg6SaaBr4J5PJZdIShNLTaCsnrcxCrTbHppgUyON5Tt+01W5mywc8MvFX3gLZTEPT1HWspNg1/R3YGbm7bwCiBclYenX9RZtwsLa617HuWS/YcGPgnF+PPkYPSErwHLw0tGsg4pd2yn0+kLEgsEHDWmiG636mhMeKsDdCq+/Y5GELPsJ8Hogh0JUK4/6ENrxOJbL3XObevg9U+f/hvHR7HGxBHjJMfbHlnAqxkK36SchNfgk8Ylc45CX9/zfqQSeMRBo6gxLZvP3MrB84VeSQ+vtRBLo+DmB67o1Iorfb37UJEzRq/G5YRBhDom6vYxY/T1CG44sadS9vjOWTjTZwTN1kiHOl6vIdesmtf352IX1gGtTCIaKG8QguRL+ycM8fns7Zu8FjRipp+um1LL9QCIkeE1zSQKaD4bgVCsW27YTKgDeQuImQQKODJ9+CgphMXdA+FeA9ky6EDP70PDhfy1RbEagOx3U78+vG+qVvBz+irF8gK0B2BqOhZe5JPT1vD8Bu9UNtrdLT37cP8niVr+sz1pgYj+/lZi8SvV+NlE6IGS4vXqxapopArnx1KvxAhpUQPZVY4WD3gun5u3lYoqONHJP123gbA7OCWpAyCXj77ZXRE1m9CxHTSXpMcOmUTrWMUNfU6Ho+gBzi8Z6/y1zZOfrA1lJLNuwvkOBkc/poZ0pegQTUHZeT3ztiFTJKeX7V2PVxcKejHEhgjkRLE8Kj1Q0X3PjZ+n6MMg31/ckxIVu9DnK/DzWEyTLGGdXsOhSX7Gp4zNZ4KufjFkzyUQLWfBHnobmV37XF7GuWoKXuc240PVCbmwyYBliJYMvvw/KvmmGVGlpsDGQSMPALSKu5bFr9fWLCNFRvbFqUh2Xy5YF+/AlSntx9yyKoUvsKghEefzzaeNQ9eWLIFHT3seSyFEtkit3uIUuswHx9YsFQsSVfrthxEVOR8yW7sb+xZ5GmwhzIfRFJvde37n8nY93O47/sIph4tWb5jDuVsStWsZWxwR+HZKOmHVVQAiKaRz0T+IGURKBHC0mgJziCvN6BFCM7VNqoJNzdsMDiNa8Bnn2LYlE2RDtS748beHuy1puAPuwUPyi0kjM3jlX44gWXEd3Sc/GBLMhHUECKF3ED6mCTkWwRdK/34MogkVfexgqNhiR2N5O54COaVwZG6+pZ9w8oFu5DQyHoKC13zli0HBQKDJOCjO5LBnu+HC42D1g8bDYoQOSX/MIffN1FmYHDVRMcXy00UtyRhPrN/b98xKcIbESOfCQPOUFPKniM3yddalsey3rEbFonUHFFaX6ODKNFyyW4g65s2Wyc6SMuSoLQzDK8RrwGJxxvg8hB929yF0TM+g7ko73sCyBYTGf49kbUhziewqooY3NivVm1w9HjZIpYB4ojEYzJp348emoGLBZBxBldnYNdzq2nL1URxeM3HaeRJYbl4vWYn3EzRJrVsMOnAC5XNIHswuqZ91/m8RYnJGSNHa6ZCpNzO1aDzFteEnp2S5OhW8Ig9LpBLCzHa3CZ4Y/YxUqp9zMjSQw62nHPvk/TzOijp9SX9iPf+s+6Avf4zkr5bUlPSR733X3gb7/+fxf3ee/8/HeX9Tn6wlfTqj2QIuVVYSyD4CjrvIux3RkcRPJV6Pyyh5QvclCBOCVVtvic9s9jNdO58vF1HCuWjQPexFG+EPVgBh2wahNuAWB1Oeo+ArAmEkMHWoAEy+SwNwsG5QuBR7caX1NnFNgDZlOUlqjVn6vGBDsnnUYNE5l9481vM8X9w4cvmeDpjs+sbDZt9E+nic8JnmxZIj1Xspp8v2uewDSXzMBHBNYmQmuDfvLJpE4X+TDz5mgKabP5gnBJwuHjbCFDm+AbxOwjRysu5jeA17LikbAmDViLfOXhSToJgSI4U7XyyC/b3F/J2vSCfigEwg/r8bayh9+FSe2PfPqvkpfE7UxqGs6mKTtxcMr4JgD6g6x5uCfh8zl/yETnX+JxS6FmSBvC74nVuQryaosDDrP1OdEtojLh0DMJt6AGPY9HO+u8k/aT3/recc999ePztkr5LB4LoVyR9SNLPHf7/qOPOxvy4pG+S9BuHx98j6bNHfbOTH2x5p0T77kPYmYdW0Q5bPNCdRE8tZECLecs9igq2SLZsYCZQZyuDhcjD2JlEay5ctNsgxN1FNp7cAkr0KEpw5+zmQCJ1GdYUrf2IQAcdTOl0PKieqKMchIm8MGmvO0n/Qbs6q+8ki2MmsIxIRXn+3nu7YWZS4WJLXawtdIH+maW3zPEuuD70Dfy3TcsPvFLetOdAhBQbCJMAcr64eDLuYNdZLmlTbZavJGkSUex7F6zr1u2GRVUoATA1YQOHtT37rHG9J0eL+kPU1RpmgHTTF7SNpAGJRpQn5q36VPAzc46ADPmenUp8wkdC/BtNG8Cm8CxuwJNoHroo9G4toumnjTU0eR/oHisC+yCQPz1reWhXq7aUSn9HdnQG3YH4vAK+A7tgqRjPvyeyxfvsm7CuiuAGs9Eo4OYy8O+itEpaG5bQ0a84hgr5YMbDLyN6SXce5klJdzg83yvpE4cq788756acc0ve+9WoN7nnm3v/k5LknPukpA9472uHx/9E0v971JM9+cGW8xrm7j55tN8IXo5JwgnRRzDGhWg6HXJ1PjOGAPtS40zsOaXP2PdkMEWCKrMylkLIhxg3pkvgbHRsps4sNGrSEUIvRJTZRsdwAvykMQs6CbHMVEtX7es7DJa47uHjErDn6Y8pI7K0KoXm2NwA/mDDBk9/YeGr5pgIxAfmbaDCQJ8EXF6Tcc8yjayr6CArJWyQTQTEt8J7NoF0nC35l0pW5PStr9qusfK0LbWu006HArtvoAv1/WgeCbh99nzb2OQ9UGYiW3UKtCmUIVhroLtvDHrGz1zt2uDtybzliT5Xfs0c/1bjKXP8RN7uORczNkj/DDSvKLZL1IaoEa10JGm+YANzdmiXQXBnswW1AjmXiDSxE5cB7Uub9rmiCfQS+IvlDEqlaBYREotUJfRGzGXjeaUs99IkPZBjxJ+PUh8eerDl31Y34qxz7vMjxx8/9DW+3/Fjkn7bOfc/6EBF8FsPf35W0qjg3a3Dnx0p2BoZC5JGH+quAjLQ+HHygy3vzEafgxE1H+A+dHOIbLHFl5M4Sliyj6yHWdJi1maWhMhJEp7O2+yeOjnbIKz2IAjITLewGq/rQ98xIiScZOkI3a9ezy5mlNBIQrXete1iuXXTbjCPPWY3GHb60fx7/7I9H6ovjzUonkQAG66lZkQtPIEnnovnAzIY+9erz5rjxydtyYoluq0uuDM4pT5KsUG2zvuKjk1KVzC4I1dQCoVcOYrYdHOLNtAPxCiRHBHBrC/jBwjGehMoX63bl3sgWVSsD6QfuqHGHLt7S1n7HTnfqlVs5Ch5X2taBJF//8HiteAcRsfZtH24eU/I0eJzxe5lBjZs+JGkVfg5NnbsGpe/GE+14LNIkn8byVgac4nf8fykDaZIhWB1gQ04t7Dm8rniGiuFTiJMNGh67iFbwjw+2cGzPDLdxyhjPJhxdGRry3v/p+Je4Jz7XUmLEb/6h5I+LOnvee9/1Tn3AzpwpvnOI5/F+PEJSZ91zv0/h8ffJ+kXj/omJz7YcgMpvT/SjYjgihwOZlAkQiaw8HEhihp0hOemxu4kIl+cuCyRdbCwBO3xyM5Z1vSL8bMkyLxZgmNwlgs31B74BixtEsZnYLB4EbYuyDSv1uwGtHLL8la49gVlRRLyd9AIMQfxzDFK41FlRNqgZCGMw/ZzBvJPT9nEjJpuq0Ac+Ryx6YDmvg2gBRkE2XtTKN2gI+yF9WVz3O+G6B6/E/mBFEptbYEvCCsqzl9m9KiYBZYnRMLYvejY3QhUhyX5LZiDS+H8CIzm8Z05X4mabEFT7k9NXjPHgagpmn66ePhv9uzcYUmevFWe3+ZNKAY/omAwYbt4waJpfC6I1rdRLs6glMmAj9ZTVJxnYxNpDVxDGWyt7dgHK18KA0yOchZ0CzZXUcWeZUd0WBKF7ZbvnvPxqDC88x/qvb9n8OSc+4SkHz08/Fc68E6WpNuSRnV0lg9/9nbP4b92zv2WpD97+KMf9N5/8ajvc+KDrURXKl27ezzaHitJ+xeQqWKTZJlgtkKuULySsST10VXCTXcbHiKBMje8yPY6NivsYaHhJkckimKWbGcnwsJAiO/HTb0doTFTKNuFht2FPXY0YqHh4sfrvLJvF78cUJXEVXQT5ZGJImucuG3vUXsa2mQB0ToeHZSkM3m7OmYQ+W9D1JDZ+AxSWyJfeygz3upZNHBca/ZGxwYK3LAGuGbson102hKv/+TFUP9p8M1ALOExR9kBIlfUkKMn3cS1eJ4Lv0MCpRpKP3gKs+K2Uk+JQq+SVEZnHBFAorKVGXTCteNR27mUXZNudXHdEWxd71pbqDfb9ngD36GTptWNffuZZRsA05tRCps1OH9n0/Y7swxPDucc5C9euW3Bj/ees3pnDBjfWLXfeRp+rixjkiM2PWlfz7lSzofQN7/zLsSpE0jK6S0adkwHH3G84+FztlYkfZukP5D0HZJeP/z5b0j6O865X9EBMb56VL4Wx2E345E7GkfHiQ+2Bjlp78m7T0GyiTo4/acAHzPbrzagBo9dt+ZDzgYtgLihXEJ30PU6FkssbrTT+Mq6XWiogp/csQtB8bLd9Osb+I4I5oi4sPWbJtFTJTobhMEUuxHZzePAM+N130UpZg6eemtVy4uhiCk5WeCqa+8yeHHdeASEC00xE5ZS6W3IFn220HOsA6ZZRq3zy9uW+0deDM8xg2yeHWNEbThXWGKnVU1UKYOcpuUJu1GzjFi4aHcUIhgUKWYXFoPicRl/wALIkPdmfz2JZ73eDWkECzkbDO2jpE6uHa1eMkAgl4r2mvA+kBeXnLCBzustqzlFj016LxKJ4+hQCy2YHGE33zitQTYi8VmitMPynJ0L1MEisjU/A8s0Iml49tk5OE6Ydp8m8JIWwFujfU+Ucbv5feADan8/egrHAmw9/GDrb0r6GedcSlJb0scOf/6bOpB9eEMH0g8/+NDPLGKc+GBLThpm7v0UpMhDwULHhXEWZHGWgpYzoTeiB7JF1GMHujScuHS8Z+cNS3IZEDHbWbuYk9Baq9jXv7lms75cPl6vqYPMO4qvRCSrhA7Gras2wCSyRZI/vRGp01MCuXsHTzr11YLAgE43+ErsTuRCE5RFFRoEZxAJ0GOSoqbMrlc6FrmaytmNfx8BbRCEY4PZhhQEO8DGBVsstfTPhqWV9Z4NGNsgNl8s2HJxfdveZyIG2e34bSWCr24GbZqIbCVQwgukYXANN/ZDZOty2SZT+x17UkS6yclcrdlMgArvv7b+fnP84VnbWDEAZ7SFiHQKBHjex6DMCR5bHQbKUUbUDOA46ANKnimfPdI3iJyRpM+5xKC9DEX5lS07tzozCL7YOIU1uFIME06u2zNlu5fYJ1/qbCGxx17FZ9vEq98ACvLe+09J+mDEz72kv/1QT+Y+xskPtrzNfgNRU8wJBjo0kWbGw1IPSyuSVJqHdxkE+J4pWbI3O2voKxhA3ETOENi0CpC7oL3GPqQgFuBT1owXbUkBIWk3wteTd0ZD7/wZe41aNVhVoJRayIL/RB5MEos1aGRpQPDcH9oz8d2KxdX41SywrpE0QESXwA5CoUdyZ6bSdhPeBD/oybJtn99o2N83ycUhqZdBPe5BEoEGvw9HJoK7x02wRE057qoI+FiuIcGd95GNcYHo6TgkjJIDCL6iuk45Ag04oB6LQKqy4DcxmSLX57sWXzLHDHZciigMAsQOuiOxUzMApr9sahJOBazdKuxUZRLLTttAtypnz5llQV6ToLEJz+rWFjprkRgkUOHY7tiEeL5o16uvVqEXlx/P4SLStXLNyl040jXgTZquQVx2faTr/hgU5E/qcM5lJX2/pIsaiZm89z91lPe572DLOfd7kv5H7/1vjvzs4977j8X82fGPhDQYNfTEWg6qQJDxLEBHi+a96CUAACAASURBVL9ncPZyPZRxoDUFjaa5wRAV6TfsQjIL64jrsqhQoEANjStyvFzF7kizk/airNyOL2tmUeag4rwk9dD51uhCIBMBWxPv0d+2i3NuOp6wwA2LHZcdqC9z0E+cfRB9Iia04okItrgB9FDLXJ605V0S0JlNE4EYp9c0hNRDwIthEM5GC2zaRDyCRo8I7h4FOV/aesYcXzxnN/bctEVEyF/qwWCcHKxEE2VG8BPZXs/73GaUDVNoPW7n9nwZC4rCoHmWJW906hGhbFbtZy5CY44BbKDgjmSKnNCbNYviXJ60SFxQMsM1I/IdJQQ9FTi923G9DWQb1QCHxgQiYSUgU2we4RpbAKGd65GPmL+jg64AA5wvuxmlkAs7iSaf7LR9z+4GmkMQ1zPXaVcS93ztwxgn2K7n1yVVJb0gaXwUfY9xFGTrEUk/7pz7pjtiX5Ji2zZPx+k4HafjdJyO0/ENME5usLXsvf/I1/omRwm29nSga/G/OOf+taT/5Gv98IcyEl6+OJKu0iAUKQDJnkEHCUjHzOIeKYTWObebthWb2jyEuPl7ariQ50I+E41h2dFFhGTIbkmKlEJbyBVt+k9Uan8VbHNJA5B0t1FqnJm12TqTY4/P5Hcg74W8mMZ5ew0DuSfymSARkGqCtFyLl8OIKi+x6/RC1r6minNmNk4k6Wrdlh14DVq4xkQLxulqBYrWQLZYruoA2Sp8JSRMDT9gL/SFSauKTyIzy8/UnKPA5pCedSAVE5VlGZFOAszWB7P2Gqcw98jhksKyHEtqFClmSSwD3brzE5YXyvuQBT+J/Mca9N443ykwSusbDnY3s2tWCg3IiYK+smvLcA5ovLCGkdQfdAuivTiJ31PWhEj0zBS6I4fx/ERBIqROCzNJ0zmL7vE9upsgDJbs7zO3MZ84XZP3/t1DGcejN/Ewxqedc+/x3r/4tbzJUYIt573vS/oR59xHJX1KUiX+T94dY7SDiLo6bojSSCd+YaF+EomXyxm7eUhSLnkh9j1JnGZAlwXkfXXX1sAC02PM870FuxBQUJQjEKusgf+AwIeLtSuE3UvstJmfrwavMQOLbfkMOnlA/p7Ow6iW35FZFzt5EN9yE04lwB2a5cICqQqFY61ty0WJCXudZ0CMpmfmfMZeg52sDd5Wm/b9k+BgsYzIQGFvBx2YKMFR+JXlKB6358LAg4HBS6tWyfubpq6b48CzDt8hyfISnhtyuBwV4bECOvaCcAMBX4n6UVHm3+RsMcitt+KDn+Lvoyz4UXt4EyU4PicJlBFZtiQhn0E9g63sNkqz55EsRmgPbjUtf3C9bZ/ttW2bkDJIdhPj9QzNOZAQj+iDnFGWEekbyrJgP48FBIkI3//gPWDLRrHYSQi71qEoT2oDlv3CxvCev3sYY4wRwtfzeE7SR51zb+mgjOh0wMN/Nv7P7DhKsPXzd/7hvf9F59yLehcy/oPhJc8saWQMU3YSUtNqp2OzjVozJMCPDlqYSGHbM8mhXAgYPO3dsJyKymW7OJITQnL2ALpbTWFTzcdvBobzptCzixsiERQpVJ2mxU8gwImAjh2U9Xb8fRhnHUFidfFWvKYNg7PwA+0hERgpFKNlN+J3oIuMLfRbOKlXdiwacGnS8p2uygblJHfzvk1MQcaASBjuOxs9eA8HxTDYIg+Ngygvr2MCASKDL5KKKWI8DIym47tSk9DZGqJpgCg0ZR6kkEtHVIcNLuRU7n7IbsJXCtY5YCFtE5e3OrabWLOwFENwdatqAx3qggU2TNQaA4LajHDR+AqQK0o7JKlvmGQUbA8po7Iq+x3Ih9zu27lTSMcr1qegp0hB0gbkOjLQ9YvS2eNgVWQIe6vMNtZEPLqB8PKIiTsR2gc+vE5yGfG73ok3ue9b4r3/Zzh+QdIPvRMn8UCHl9WF4gOBOcEN6MYutIfa7HqBJ5fClIJw8XorLLONjsCqAlnTXMFC5G/t2MyWBFwHM98FkMtXrqIcdR7ZeRnIFa4ZiZ+OpVop0CtiEwCXplTGLr5EEDIojUxlsIE4qGijC5VIFrtSGRNQiXwM31fterjhsF2dXWFDdkwhuOKmTduXQDIkxcAEJTY8Z5TPaNXsNRxk0fmHu0YbKqJIUoiSPLN0NK1BWgwNaZ9VB3oHiQ82OwY2flgfgsSjGI+wVHth6XQ6Y+fjyp59mDifgo1/A8b1gC0oYroHA3MHlIhlylodSPo8baTQpbqA5AxBPMvlUrhmvdGwa063ivmCNY/3hfIVDPSJoG4h2CLB/TYCzlQEwX10UIuQWmgtahNqvAem4PNJTUgmApSfGa3UPny7Hndiy4je++vjXzV+jA22nHP/VDExq/f+774TJ/LAhndyI5wjdtLQyoyll2lsQOzYGtdhJoWbLGUKiIZR7yi1j04XvN+Tc9bQ7a29+FY7Bi4046XoaiqL7B4LW5DFTYQBJ02JV7fshV+atdk5EQx+RiA6OE6GoErxSwQm4GQFiCeQrnEK8slM/GIthSjPjY7dNBlczUMymgEruXx5yGO0IeFBXtnCBLJztNsn4Fe5Urf3kGbDPhteg9W2/ZtdIMecTwwIBzDrZcma9zXfvPeGJEn9IuQwwNWjIDERTuo7PVsOXUFo3E4kaxx3jskWdflY9ptDGZE6W2/eBvIFNLCBQKbkUL8CaFsu2TUyysLszS27JtGpY+KsFSHd2kR2U7P3fZ9i0x1KSdgbXUjGS8WQdxqIroIP+Sbswfj6YcSOyYCQzzoT0g7K8BNfhFdi695Cyw/diFo6cciWc+5T3vvnnHM12W93p4xYvsefRo77QbZGXbl/UtI/PsoHHPtIePnc3YmdrJMBaw8z2CRJary1bpEu6mpFZS/MDJlVFSOMW0fHYAHqykAHciRaEsGIQBjM7wM1ZAQ6tPdBBrYH3SCWGSUpt2Kve+dyPEJAFGYTGlQMgmnyzGx9WIlffZqL9jsWV1DaKdIUNn5liZK/IOqx2rPPElEfljqutS0acGPFLvjTlyx6kMcGUqUCNc6PG4qHPlvutr0nT1asrhfL2fQElaTPXbf8xYsLEDFFCSqQMeHgZSYBnnY9AFAYF7DsyM939fDZHh1vNWeDn9X68d/pLCQ/iKZTlPkr+9Yx4iNzL5vjLdghOCBPlYolf/cRBHAuFRGoEIHhYJIgSVdmbePQzf34pqEcAv8e0D2aOHeAeN5o2cSFyRoV6BngFoEa02KJDhj0VowaXLfpTuKwNxVu2zWpeoUWYxCzHo2xj4Ugfwyf+QCH9/65w//Hl6Luc4wNtrz3v3Tn3865Hxs9/roYKCN2AZHnbsOQFJO+jMBoCh5aNcj4BtmKxusj0Rh2DnyB1TW7+HLic3GkmrHbhjbRIs4RJTYuZInrdsfy52A7g4ldmA5rbC0IcBbhlchSJIMVdoXRsqiGQCZfgEp+ARwL8iFoYFyKX60yNfwBNlCaPEvhdSVCcbtpuXkXpm2zBbPzTMEek6BOrTHyYhr1eHNfdqG2Fu13PpezXXEsexKdlKQPLt80x69sWS7PTtFekwmIQ3ZKsHEh6b8Rf9+CsiKeK5aPWbbUpJ27W017vn9p7ivBZ/7R3mVzzKB0OmvnyxvgXPksuo0x37nmfLl21hwTndtZs4HO4nLY1DM6mEBmqki2wCnNXoh49oE879csopkHtYEd1l0kCixhV/ft+72VscHWX1yyfMhrLZuoVGt2jZtB2ZMJM3lqyTLsfiKsd8jVo1AqO64b51DR2EUS/dBLhWPGCQu23ulxVBrd19/lHDilqncf0sGSXbwHOZqs2q+YxSSjqCL5CVFtz4T5A+QItQl2pe1O2IUkmPiw76D6uoeQY402LmirDhbXx+1C2AVyNZWHCGNER6cvxBPeGZAyMJiZQDl3DOIR8Mg6Y1YmEtzRhR0gJoFdD4PDcNPnfSNBlm4FNJqmW8HiFLrO+OyiVMJnm+UstreTbM5BMU1m6nx/SVrKWRQnhQDv9199zL4HSmh8LnooT+fXqbptP3+csvYwHx80d3CP6IE5mQznP2UJxiVfPfKXUI5lQvhq0yJdz5ZsKfOz/qI5/pan3rBvj+eECCslPbpAiUvLdn2gcK0UBqWUVjgzYZ+LJgj0aIwNeW3peI4nOVxv7dtgi+j9uFGZsXOPSHo+wuKM13kdHZpipy2+NAW4g8vs7/HvhzGOwa7n6208lJ4F59wvSPrLkja8988c/mxa0r/UgQT+NUk/4L3fdc45ST+jAyPJpqSPHjpuyzn3NyT9o8O3/a/uC2VL2K4olrgCaaExDwzV0gO9l4gggJsQvci4iXJx5mAgwbblFG1SVu3v9yegFQYuDruPpqCAvw4JAy4iUQtXHvIV7EYS5SswSDglmsfFl63XuyWcYwvcH2zC1NHqlsFrOUO9NntP+hGlVJbp+KyQ08HBLrPNmt3AcuAPRalYm3NEazlJv9T58dX4TkKOQJFeUgWWQ1/esyjMc4/ZQOCP3gAq9JrdoAZX4Af5GJ7lfSBf8Jeju1aiF4+o0hdwBx6dbR/KqtyqW+SHyDOTL6GxITdhnxvSBi7mbCmWRtSlsr1GZ/OWH8W5c71nUaHMmDikC/QvqozITtnnv2iD6kc/YMuMXB+GhfhnuQgElJxODgasDKq5D7AEyN/3sJ4wmIwaRDhdDt8xAW4sph87DlPt48VCTrD0wzsy7ocgP0oOKzjn7qQxRyGJ/aKkn5X0iZGf/QNJv+e9/2nn3D84PP5xHbRZXjn870OSfk7Shw6Ds3+sA9V6L+kF59xveO9D52fzBWRJreAbEIpl7Z8LIZ8ndmBREFAKEQOaV1/vhjyP0UFiM4MxTvw0srzOBbvYBlIRiyjVkGgNmQa223OxZulHCjeY6q4NFNJzNjvuw4iWnnh7CRsYMADdRiDClYClkHQdwrHTY3huY2ZOYSK8BhMItthVxsHGidu4zstTFg1gYwMHPTYFLs9uG0H4OgJalJtZQt/thp54HETDSPInyjNso9v3CYscpVFu6uSBzu3Sroc6e0BUodzSghSMy8cTq1e7NrCSQu7dTejk9c9CDLaC+YrvSAmR2ZSdO1t9uyS3Wnb9+PKuDXA5los2GGNSkEazyeRle75RzSqUu5m/ZIMvyk0EXDmsOUXMpQl6pQLZCuQ38NxRPJdr4D6qB8H5AcXlGitFIM+pMbxVSO6kb9lzTiK4GuRGnuVTztbXPJxz5+/zpXve+3j/ON0fZ+trJod57z/pnLuIH3+vpG8//PcvSfoDHQRb3yvpE4fO3c8756acc0uHr/0d7/2OJDnnfkfSRyT9cuyHD6XkCJGwP80NDkRLZCjkwXASbTTt5Vku2IVKChdHTjpyLhjgJZDprjQs56IK7k0eyFZ7HdpA5y0E3qsB+cLCOA5pYys5VfilcO7nS3ZxHQzjywIcVOqmttgC/ONurFluUG8yZqGSlEUIT0J8ay5ebT0XQZidjigxjw4GrQzGKqgbTGbtJrfZAi8Omzw5VEl0P+2BtxLMFejV7aLWSrSx0w5RHmrKXZnctB/B+YbyM334mmN077jvU46CAWSig2SMpVTcIwoEk5gthYlAadY+B6QZMIBjMkXtv/W+XQ+oz0bU5S8tWF4Zk78/3L1ijveAePahUcdEiPdYCtcIKrYHAp+87EB9SNrnmloBD47B1g6Eo0lroGjyELSBhQmLXNWbcKyIEI4+X7KLCj1yKaExQAmdihosI47+/l3H5/r6HL+kg5U9LnT1OgCTPhHzGkkPqYx4j7Hgvb8jsrMm6c5ueFbSKIv21uHP7vXz+OHQzcNMFgCER2BD/gJLI5xAJEFLITmUiysHM0NmXSzb5RBcMRBx8+isIXEZgQIJ+C2PkhsWtj0sXM1GqDXETbJStIFCC4hiBnITbWTnkyhtsmRGYUjPJgAIbhZBmGfX2jBjn5ugi20Mv0kKF3weBzZJGOSdMLsXmgYYfBEhSUNst75LohoGvmJQHkfwN2iHc6GKAI1zowoEgRytNnTuhtB0S9SAhEHElPeNaUR21/6kgw1v0GEJ0P4+SmeLo0SBXgSpk3mbiLATlyLJn9u7aI6/tfKmPUd0WF/I2JIdHSOYXLURKA0zYXl4dESJmtJiaDttI4dZEJL6gVMAEEUEiFwTmeDSpYP3gHOPHd1EJ0kJ4NziPZRCUj+ToaDzNsGE0P66dAtcu7mjlfnf6XHSyoje+z//Tr7fcQZb/254770b2+N9/8M59zFJH5OkZKVi2rkd+Emsg1OcjoFHDYFEcSFetkEKF6sENgC2i7PsyInMweBmec4ubLsbFn2bmEEWh4WPWWigaQUhyQYCoahOPJLqB3lwIroM6OzfD+A9xjIAw5QdaJVRj8ltoTSLuIXPBfcPBun0cowSReRiyw1jA5vqAIgGg/T5rEXvPlN9xBxTkoPXlP5w7D6k7g89NkmcZgmwiHKYJF2FmGXgPUrdLaAyS4v22SaqUt1BlxiQKpaPu0A420AsGewNgYxRgoS0AkkqZ2DHhXItA05qdzX37X0snbEP34fKV83xDgQ8h/vxm3ADxDUiZww0EqX45I7yHZI0m7HBFMt05JkFPoEYfG5KuMZEiZnYbO7aNfEc1sxAww5rIgPeHmgPzQhRU6Jx+aK9jm8MLCczSQ/aXWiNXQAiOpIojGsEeSDjhBHkD6lL48bQex+WsyLGcQZb6865Je/96mGZ8I4HxW1J50Zet3z4s9u6W3a88/M/iHpj7/3HJX1ckrIXl/2gfPfJS+3Zr0zBQHZQcSGkKjdHMYKztdO2C8eZguXa0Lz69aqddORslebtwjJZtmUJLo604xlnJbHVtOcbEN6x4WSBQnXa4ULTR4C2VwexeBMcrCn7HcoovTQB09PiaEA9NQQOyR43XftyKsoHHK0x3mNRjRabXbvAz6bsBjRfssdRArmjYzJpT5IacEk8qwyCqcPl8JzQ5ipC1cQMJiaFbNiRxW7EV2u2vHu2aH+/WSaq04093h/Ya8BzpuclRUwDlXzw3DJAkdnUEHXfqavH+ceNneRtNrwwqB0ovrzLuUTPzddb9h5wNNGBSeFn5slRyD27tG/CVpdUivwika54IWWWavmcMbHhfQqCM9yD9aq9ZsEamxqPUhP1nM/Z78j5SnpHB07EPhGDtj/suMfrxHG2JK0c/hd3NZOS7ovbdd/BlnMuK+n7ddA9+O/+znv/U/f7Hhi/IelvSPrpw///+sjP/45z7ld0QJCvHgZkvy3pv3HO3Xnk/qKknxj7KV6GFN+vALnaBmozjJ+ELOmlWXIbhIFGYDyL7Hc3gWyewc22zRQrj9nF+4XblpQ7jQ6tQQOk/xkEmCgz7F61AX1qAeQAilcys22G14CWQbyOzJbp51iatkHs1r5F46YnYTUDSL2xh65RrIWBnQ/0mGiMS4V5jl6Ezs6Nhl0tHytYUVB2tnEDos4WkbLnrthOvj9Zt1V2EqX5XPIe8bkY0E5kDBgdFXjQ047zayFreaaNDdu1dgsfeXnWEq2JSPI+90ogMo8Hpu37XwVq9F6IHm9iR5T0SNmeI/lK5O5Q4ynxqv3M5acsCvN7W0+Y4ydK1lGCDS1vtufN8fObF80xS/J0BljdtQR8NiksZkOT+R4CMKI8LC/3kJzRtYK8NJZiyxP2OctQrRaD94SipYHe2yB+3yCHVJJK6fiHrYdmEJYRM7isQX/NyQKW3g3jFe/9++Ne4Jz74v2+2VGQrV+XVJX0gg6cr+97OOd+WQeo1Kxz7pYOugp/WtL/6Zz7YUnXJf3A4ct/UweyD2/oQPrhByXJe7/jnPsvJX3u8HU/dYcsP/4ERv4NVCaNTZUoTheTqgMNKSJZUW3PVZRz6jk7kR8rWmNZTvz0Gbv4coOaXbYoZgdlP7YUs/RC3suZx+35rG0C9gnUlu3CuRehMO0juGyjI1+079GCaCD5DZ2C/Y5EIFkia+CcSJTOjnmSAokQfkX8gKrcUlie5bgyY8ni45CtlY4NstntyOdonOWRr9prPuRiT14brXQQHO7uh6Ug8oNos0Krl1Q5nhvDZ52q90OUdwYloDI7aE6h9IPs6M/Y86Mm3txy2ARB8jfLbjWsD70cdK1m7DlTx+rfm3vRHO8MbCKSumXXm7cesd2QCwimGGwxcKCsyS4ESpMREMcGgikG+iwv94DmM8FbadmAbxxaX4OVQL8zBimjnRAU5YlGBsFghPQE5wsT86ApAEFye9Zeg9w2kp/RHPs4UKaTh2x9yzv0GklHC7aWvfcfOcLr/93w3v/1e/zqwxGv9ZL+9j3e5xck/cLbOYfTcTpOx+k4HafjdDyYcQIJ8mGXw9t4zZ1xlGDr086593jvXxz/0nfRcJJGSkAOPJQ+dHeyyGi2WqGD/eigCnjUYEZz1MFyzHrb8gcaaLGnojszpDoI9Q4dXJVH7N+vOSBbg/jsPxHhiTdENkyeB0uR3THSD0TnqAUWwPhAaXqw12BaGRgSo0wwbmFpRHRkErli1ylNjF9qnDHHFMOlRAeNqMmdCyRHKNEBA/FAAX6LaEC8GC713qSwNBpwZfAemSzI2CTUt2l+iLnG70DDYICNVOnu8f3G+AKyJChJ5wu27JcFcrQBFKdXxFzpslECyLRD5x5mZG8KHZ2DeLI3B+9RAiX1BTgZUH9NkrZg10WrmtfWLU81Dzsv8la30GlbzqIJAUgaEdWpadrxwPQZ3YqUkqDkT9BIEbE+0I1kG40IAt1D9DLFr0mNcyO39Vi46ics2LoznHPfIek/lrQn6SVJX5b0kvf+SBW+owRbz0n6qHPuLR2UEe+Imj57lA88ljHy4JXeQCfdOfBUsBjz+enWw26j0cFJLYXt6lzcAsE9bIL8zN6s/f3FGVsDY/kogU2PVhI1wSMPZY8hLFEcNhx+nkuGsy5RBWfjjD2HoOxGPSOQdAMjahDmW9BfciDID2Fh5Ng4wVgNXG+KXzL4GnTCMiJFR6sobbxet1waKn1zUAiyPUAHJgMLlkpQkitNwnYJ1zCzb//+2r7l9lEGhaUYSRrgwnK+UfSUpZWFkt3Yr67b8lOyTmEte5hooNMX95XBFmJuJSftH1zdsiW5J+YtX0oKbZpIrmYZn2MIcctVdHMEEiL4UpyvLGdvNOxzQ3L4UhG+hUFgYd+fgY4krTZt2e/V69ZiKCihoTM2M2XXzJvX7X1//NEVc7wGlwvKlFyYss8qjbEzJLyjQ3S3Yedub90eV2fC+d/Bus2ALcFmDQTJ2R3wxJAojFaXj4W+dUKDLR1U035MUlrSs5K+T9LTkh49ypscJdj6rqO88btmeEkjPIz9J+yGl4D/FJXOycloz8OaAgtpdgwRUwq7icapGyf2EaggWOMm/uoOWogRbFEDpgHuT0CcbmLhoF8dskK/Fma25EgxuCLHaoD7sPK6/U7PPnvNHK+hlXuqDMI8vdbQDs/gid2IbbunKrNmr0EDMXZmJeRnta+gPRytceSdfWr9kjn+4Owtc/zJm9bK5ql5S7gPUByQjnnfpouQBNmx6AMBi4kM9KKwoUXpdvUuoqV+jGNDYxcm6JOWJUxScXETROcz6EJtIeCEfQ+FIxkEDNGssvSkTXSi7LruB/0258BkCWvUK/s2UKH59XoPph5lWIyBI0Zj6osXLWeT2oHkza29bJMEffsNcZBQPjtng2b6qSanwGvDs1iYQbLVtfeFXMA5NB1QJ6sLjhXtvoIOUDbAlMev+0S21nbAOyNSxY5qPlp4NkddMB629IPzJ6+MODKue+9/7fDf/+rtvsl9B1ve++tv90OOdaCMyAeUQQDFM1mO2t21WSAd7jd6oeB+YD1DoVRsMM0aUJm5eLSSujgBefO2/X1+DkhYBZ56VLyfhXl3LV4NOnkmNKKluS5RlzQDNpQ+Fx618hhECzLonKu37OflQeLnGUIvVLRu5IgAMO3fL4SLLzum9nr2vry+bQPKb16yU47PzRNzFkUJzLyBMPZRCqVZ7xxEUa91rSRAZxr3iOUl7AaZYij9QFmAqQjxx9GRRHMHN21BOJXdhrxP6RqCfqihJ1Cyo4jxcNLOFXaYRYkak/S/j0CgMgM1cnTC+Yw9x5t7NjkqLdrMgIgpy1PJOft+c2fiEVSWp3nf85cs8hXVJMQuTaJjfQTdCzMIqq/Zv3/kO2zJ/SvXbMk9B7usZ6ZtIkKNOHY/cjCpphdjB2t2uhjOf87fQYM1bDystJKDhVh2l7Ild/99LAryJ0xna2R80jn39yT9z4ec8rc17scb8VPe++fgkSgdzRvx+IZ3xlfLg8OBOaQezHl7mJSVSrzB6Hy6FvzMY7HbaCEgwxWkbQP5ThRO5AbEMsBgeozCPDasAHmDPtMgaT+PastEA6QIk1X+nuVbnBO5OuSdUFGeiOQbm7bsQB5M0G0IKYjMHqUg7Ou5qVM8VwqFEWtEgiJ4XqNjNmufvc+vnTPHS2W76WWgo9XPUKgRqBCy/cKcRQPaN+1zS1XwoCM0Qty2Bp4ZBTzJR/LjQCHMlS4QSKIB7QVwBZvxZUcOPqcMRN5bsUGAFKJdTODmivY6v7Vhv4THxs3kpo1rxlIsuXgldNZFdc6ZP0dA2a5D8b4C1Ii1WUnn522CR5mTBIIXfsfOrF0/prPo+sS6Xi7YIL4MqJrCq9TxikIoRwflLlJQuI/S6KZYdWEagrhVBMmkG+LvgzXnuJGl4/78BzeekvQeST/unHtB0pckfcl7fySU6368EZ87/P/X7JF4LMN5+ezdiZrci4dmiXTRQ2tnHdDvhXilYklB2e21G7YM8JGFl+170oIEqA1bs7mJ76MVm5EEg7NULZ5HE8Ty3HAAAwXEakmZvF3w6cNXCDwr7eAGtdW0ZQUGkDkEjFR4TkHygwtXshlvz5NqEUHBLl0ONxyqSjNoJhmc43rTcqTI7SMfih577SS4Olftpv6BOVum5DVjQHomZxERirZ2u+HystmxyPB63f5NGJWi+AAAIABJREFUc9Jekwl4aDKR4EiA60N9NKJE7CXKwBOzxZI63o9zsdYPA+YpSDVswd1g+Zy9jqmv2Gc7836L8ixP2dff6Nj7SCSN/o5EvldetWXA5SfiEdP0LXuPZs/ZsmPUGkjB2yaaespFeyM4nwVEkTInJO0Hf49R7UF3jwjmmDVzsWiT6vUVizbmC2E1gmvYIvxbr8IpILltr1EKaxLRq/6Iv+txgEzHHuw9oOG9/35Jcs7ldTfw+pCOWFJ8V9j1PNCRsOTozK59QgcFLL7opNsFfD113i583OA2umFMOvmi3eQu/dXXzTG7h5LI1rkJp7CY1TrxmzZNnQPxzFkgIPRy3If9Bjo6W4DQy5WwjMgArla3i11QAmvE4+DkYJGHdmPf3jcKO6bGdJWRKO0GQCfyY4I1lgQ03vuQ2fUiBD4v5W0p9VrVBl+8hgwEuOkSMWEZcLJk0YCdNXvPyE/c68IFIIIgzyD4wqRFPPb79j3qMFm/PG2vATu28mvgbJ1FogKtsDE2pcGuNQBHjHNxIWPvmRRtTj06yLlsLdnjMgIBelCez1rR1I+/8Zz9ADz7nP+Fc3bTbyEpGObAa71o59peC4hMxGCwksMaRXScHM7kKmgBz9hgqzRhr0kNpViq7F/dIwRqB5G1XTzbC3l7n/NT9ppE+cNeS9jnYB5m1lxXh7CCG4IawY7pbPXuXGDF5qGMExps3Rne+5YOdEZfeDt/fz9lxJ/x3v+ocy5/+GFfX8NLfgSt6oPTQYSDJbyZS3Yz2AZniyreUaP9nF3M2DI/wHsMNu1EbeaBiFTQeYdgi8hSexdSD9Px7fAsndLux4O4OXPBwgEkPUsRgQAWW8pjsEzHxZjeg3z/JoIxD8SSeyKzxGQH5PIxVjXkQGdzYWC1iK4uIlskHi+lLYJxq2sX6/Ub9vjsRRuIZLFh0TKJmzD5VEE3Yy7eA49lkuZmKJsyf95uMK/uW1SF3ohRKOnoKEAioJ8HNxAipf0iEhsS5oFYUuTY4R5dr9qg/iNzFqWWpN+6/ZQ5zuLZJx9onPcgLYI4vufCS+b4X+x/szkmUs2yfzlnryk5pUWos1cREFPeI2rU9m3w8swF200Y8Nreg2cb6F21ap8bh+cmsEjCelJEh3YD68cijOv5+XxOo5g9u1s2EWc3MKkWvgm6BpoGkqBatEZ8PccmEe/0ONkE+Xdk3M8t+XOH//+UpA8+wHN5MKPvlNy+O3EGKCOQi8MNr5Kz8WWrGM/pogeYFM1hihsTFyx6xiyJKBEnOiHxJDgb82W74V1HxxcX1+kp+/pNBFvFjF2odl+y/ChJyj1mvxPPOVA7R4BHCJ4cLirM8/U12mkg8SzdtN+5n0UAXMRzsh+/sgQmz5ImoZN1q2ZLDwsoK+Tgx0GC7dSSDd6oFcTSDRfvBIxwySGbxKa7hcx7vWNL6mwACAi/kqbSFvUc5wvIoJzt8q2G/cwSuN5de4nlszgnRNm9CTyHlGXgXMPcjgo0OD92IpT1zetROiUKfP6sTW6+3LDcveUsaqGb9ho14b5AdLAN/uNZdKnyObufmhUtf1bStgNyBhwsylP00EHJADVXsNe4mEOZkbp+WOeZmFDaYaVuz3c+S+9G8BWz4fxfmLf3hcnM1h66dIA8p2BEPfW6vQb7F8YHuQ90fIMEW4dezjsPQmfr95xzn5G06Jz7IUl/orch6HVsI+E1mBgpI0KYsTMVH7hQZqEOjz3C01F8hRxMknOpeOkHdmjV1i2axqwvi/IUfb2Gu/Y4y065FPkK9jtxs7DSnGF30mAxfDTY7dNdtxtOBl2d7MShVhkX+JlZyzOhLpcYbAHhaC6A77QLrg4bKRB8OaSyUQRZNh5cmbJX8gtry+aYxGf6ChINZPYenAOe7TQ2hOsovbJbkV5sq6147aRAUDTiHM+XLHJMr9HrGxa9m6jYZ2uiDJPndHyTQQKNC9ltlMgAxhERTa3Z56qKJoCtiG5kcvUGmAtBEE1pFiBHEzB0nM2hvNy2yc5w0p5jrmT//vKc/XvKKLDDMtDVYwAaseuWYGtWLMRLK1Tb9jt3gJZzbrDbmMkO11iicYsVGwyS70iZkx7WSK6BUfOfgzZJ16dsaTNzE12p2K27SAxGH4tjQZlOWLAVU9X73yVdds79qvf+79/v+90PQf7vO+cuS/p9SY9I+vclPe2c6+og6PqPjvgdHu5ISBrhbA3yIIPTC437EyUKcvGTuBPhZ0c+ERcWdmCRM1Gcs2gAs/+dug1czlQsinQVZUSWe9Syx0QomMkm8PpG125A7CSUpD6aBHwxHrlyQEX62+ADTaN8hMXv9m3wZCg6msMPGDASpGkg+0cbNt+fiIckdYHtTwMFrQBRaA7tSax3gSShe4nuB3xOKOxKhff1dQsDLS/ZQIigDTfdC2ctd2hlJ2xUJidrHWKXZ4r22Z0AcXoaSt7NvH321qbGrPgAZboVIBxb8c/h4AxQHjw3Kx24LSi8TjSWb59H4IBkjFw7lns5GIylsGY9uWBlEMgZ24Mq/0rDfieW8Gcn7edFCTtzzSNfiU0EDPTbKfudqTW2BLHbQCIEg7IoHKRmMMgnwT7oUo0Qv07iWaN4tId4dHcJ3NtN+5y0Z6jYO/JexyD9cALLiJFVPe/9dzrnnA7I8vc97quy671/0zn3nd771+78zDk3IemZo3zYsQwvY+HBdSoDrZJuhFv76KBeVNC1QsEmhUgWS487SKcprEpUKGj9hpVFcS7shBsda3t2g3OAq8lDY6mHHV4cLh+iewOUsIJgiq3X6MDMorQSdNoBHVhYsvUk8psYZPO2OXBX0037nbtlZLIDokwKRh0cramc3WA6uM4sSREBubJsu8BYeiGiwtWQG0QRCvIU1+Tgc0LLlBudkBj++j5sWTA3Xt+zv9/btXOjW8E1wjkGQTS/8xhuIHOlQJJk197DAfiPq60w2GI5dnceyDWSm0BUGF1pk5Ax+Dcbds3/QOWmfT+UzCjl8NLmkjmmevoKgvDZWRvYUBA0auQhBxGo1GdskE1eGpFtNib0BTpHziYyQVK8ahPUYcm+fhwytY5ydqA9VopA96l/yIgIa2JyB4goeGOpG5SCOD5R0xM67lnVO9TbCgmaMeMooqav4bgu6fmjfNixjZF5k91B2Q+bagvdRsHCBz0VZpkUqowa5BtwFAGJk7PB8tGZeRtYMGMiokFeGpEookzBpo01gpmuj7IfQTDiQLYOZAaQzZfG6PDQk47diuI1QBbJsiH7HlrT4GSAs9WdHM9bud2wm9blgi3fkIdGj7kSyoiljN2kX0MZL0pUdHR0oNrN7kFKehD1CURMSRpOhRtWBQHmi2t2ow/seebtJlzr2mtSA5eHHVoDTMchgjHqrSXZAkQAk5xPlBGjvBHJB6Ju3VbdBpREOD2uIzug3zdlJTu4BlHtfAe+hCTUf27ngjmeOmfPh8jX9svgaJ5XMFpwS5jK2PdMo7OV8hgUUi6ct0H6KiR65sCpCjhb8/bzqTVGDhbHtWtQzWcpNROu8fMLNkgNOI7skD5rz9Ft2GedCWJuBIgeJ7r8QMZDRracc/+hpH8i6UlJ3+y9//zI735C0g9LGkj6u9773z78+Uck/YykpKR/7r3/6Xu9/ztd1Tv50g/eGfPpQTa+hT8BHa6gvAVUhyXA280ws2UmSeLy769dMcdUU08gmDk7YTcgojpcWJKZ+PJSett+Z3I2aHTNUkyzE8+POjgJIATYAPoUAT2ibg45FS1wPNhFRsmPTA3lYvjvVC/a9xvwdLDQBF6Pkm6Af5Sct28ym7fZdWAAjPs6CW/ExSVLwF0DmicItfYhlku+4hCKokz2Wbplufl+eGszEzb4ur1hA9LGhg0MEui4JOKR30FXKozmPfiJjqgxVAwY/NFnkKXYwABd0gSSqyHmRxtBbwfJFjsqt+EpRISkgcCGvLNvmzV5s+ZSNgj4F7dt9+KlJXvNmehkLttGDfKpos6Jz05taAOJ5Vl04so+F5QZoZzFpZItaRMVpuMEO6h7Lft6llqLsAtiU1Jg56Ow+3i9bgPKZB3PIoLsTD0ejU/0R17/sEt6x9ON+JKkvyLpn43+0Dn3lKS/pgP/wjOSftc599jhr/9XSX9B0i1Jn3PO/Yb33vpdjYx3sqp38oOtoZRo3X3wexU7yVJQdx/C44o8G2alRLaYdUrhROUm+sz0qjn+4qYlSvdQ/2dwxfHKprVZ4eLegMEws3cqi9PCKAUNLLZxu4iszqH8Imh7pVZZx7OH+xW7GJ+BWjoDEbbsE2VxVGbAQlFfQiAC/n5vIh7JYmu5JF1aQKCATenxsiX5r4L/Q44XFeU3d2zQznKuB9cuU4qXhiACyhJ8WBZBEwLtSCIGDcSnpux33B3aDYmIJbsFO5Q1GbMB0Mo0aCYkZ7MKZPy8vcYBoqpQAJPWNERt2uiko2n6CkqVywW0YGL6JW7buVP4oH1/Poff9Ii1idoHmkiaQwEdo/sRwq4cDLo3wEdkeZguGnz29jbxnMzZ79RAoNOo2nMsTkJxHlqBRRD8mUhQwLcDlX1JWgVyTLmKYOfAEkMeKbea7siadCx2PQ95eO9fkSQXtvt/r6RfOWzie8s594akOxnEG977q4d/9yuHr71nsHX4Oe9IVe/kB1sOMDy5QtDdSkDrJNhQsNBUYT/C10uhJgs7WW7UbBcY1dWL0xZO3kap4pGyJTKXQchnsJT9os2MW0BYqhQcRZmRqgbMnHPXwoWGXJoeFk8BgRgiEHBYzIh0kRB7DirbL+3Za5ZCABpo0WL+JrvxiChLPSyDSmE2z02Jmyg9KrPoHuRz9cRZS3x++atWEoCBxxRQJSKUDBj5HXkPuCmnI3gr40YDwo1F6GhNAPXZk32WyVUJyilATMm1A3VIPQSQ3Rn7ARPYdFvsmlXo4zlAgsdSJtcQCvwG+myAmlnO7c+i069v58IKjOhfg0cny5oc5CderYfSL0TzM0hAVxpnzfEepBcCDicWIYqK0i+WfEYaYe9DXqeE545dshykQSSzYcJZwLPbmwDn6kV7Do3Z+M9Mwv3gWEqHo+PdQ5A/KxsM3Tr8mSTdxM8/dK83cc59wXv/gbgPup/X3BnfAMGW13BUW4ddZwgCaJBK93jqp1CEkdm9FOGzhcOlgl3h67AsWd9AJotAgv5s1Wa8onPnAxYRcddQliAEDv4CzX6ZFbYfi5j1K/HZLhHFYHFF9sxSJ0fNo236/2fvzWMlS8/zvvfUvtetu2/dfXufnl3kiFsoi6IkKlLkSIoTRXYS2YohBbAEW4AQRLYDxZDtwDHsGIaBOGIAw1LgRf6HWimJokRTpDykZjicfenpvfvu99atW/t+8kf3oOv5fWdOzTAzfUeX9QEE53TVrTp1zne+732f93mfB8EP5dC4UBHhIKqT3kXwlcG8Cgi2DnBfNpJ6Xzl3XthSc92V03rfI2idZQkrsQu5jTm9pgWUXnl8c1+TgEgnPChwxjvQX0onXPHX0UEEgYR6R3YAZb6hU+4FRwscL1ToHOSMZUR2rU0XXPcEBs0ZlKCoFcaGmCF4YlyTuL4wCOfzuwUU6UpNgyPHSicF2YMBidkoY1J2xVwCOef6Ibl39B7Eusy/5+tcH2Zhss55VAPaz25IliFzuCb8fY5UjbmODpSnqC6AVwrV/GEyfK7LmnUEdj3fQrA163nesyPHn/V9/7Ojb/A874tmBk0ZMzP7u77v/+a7/sZ3Ny55nvdiyOuembm8obcZxz/YmozJmIzJmIzJmIz3bXj2LXG29nzffyrsDb7vf9+3cDrrZjYK66/e+zcL+feg8dA7+K533Pd5/IMtz6QTjUbUbPWOgUBbbWrGRZmFODhg7+SKUiSQZYEDGEmzu4/SEVsNzVRZ3iFna76ksM5OQr+vCJ+xyh5QIpRiCY93ArK6PpCr/LSeQxOZ5RDZODkR5SHOGaWO21eVt+Z0C7HChUyQhPl2CdwgKJM73ogB8hjMfq+WFVGYwm/42IpyZ4hgbLaLoa87/CN0ZFK6gdl+F/exoJUXJ5ElguNdczvzelC5PoBG3ONLatvy7E1tbZvL6rxx/B7ZiIH7GiuHW6Bkb0OsEmVGSobk0CVLmygzsyRKZqUsXCnA7+lCFy95gLIi7vMKFOM3KZuPcaepr5NnOlPQa0xJEkctHTzWUtJF96jA3uiQQ6Worw+3Ak621jR4bpirLSBdqRx5s1hf8PdsAthHB2cOQs9bW7jmHRf17U7jPtJFI4NFBJzL6B5s2XrgE9aPWPrhg1NG/C0z+7ee5/2fdpcgf97M/szurvLnPc87bXeDrJ8ws78S8jm/bGY/7ft+eFv3OxzHP9gaeuY1709yQrHs9GFHVgOK8clcuHXFUto1ou0gOKqC5zWXUoi7ACHHQ0LUILDvV3UhcNWM9XxYLlK1JlfDKtIBWZU2MCRGt9xp5cEmhdeNXV3tQ5Dycd3Z/cNrEIW/3LgyJgnvA9j1jC5kZmadEnW28IEBaR7FbbmJVaH838igRIXrTHNcBlu9OZST8Drb3alNxCC/uah/XxiTylKU0czlrbXK+hsWT+vzM658zO5gljo90AT6eTTIoAMMdCbn8yn9wGtO9XezANskvJ4Bt62D8lH/vAYv1DOjHpvjYhFgmzQ6GGRTmoYlu509Te6SCLaCxnxW17gbXS1RJ2C3048jKcZF4zXNQZGe3YVMLNghTisryuvstXR9WUZHuBPVBzwaG5v6m0nCdwa4sqwOO1X6oygdvjWOoBvR87wfM7N/YWZzZva7nuc97/v+D/i+/4rnef/B7hLf+2b2s77vD+79zc+Z2R/YXemHf+X7fphW1m0ze9rzvL/k+/6Nke993Mx+3vf9//HdnO/xD7Z8s+iIrABFTDszDBz0z+NpCJJ2wi8ZybBmrgCew+HCYEdTb1c3pNysEuIrUX2dhHgOLjzsdiJfYYANipYnTnfSlEuoJQ+FAVqcIqVjjF0ZrCWx2B4c4j7h87whgyt9O/crtlmz24e3PSixpDxFuaLZMPXV5pMKJd1u6WKdIRIF9C8G78MBmhIcc3Cn5RIdnXj5UkkJ+etATOIZNyEkr+zEKe3QpPo5keRadAxRGXxCypQQ3fNIRscpO40OGTwb+D2FjOuNOi54WSpqgHl1ETxRoDRM6LbQtZpj5xyCLa4/dyrwKcxqEEBF+CGe5Q7mHQMZM7NX9pR2UzugABoEcmf0Olbxfuq1kcdGex/6krLLnPqJNSQ++VR4s0cUKv2DrrsGU+iUaL5Rl46oLabiMPH2TT7vwAv8vR8PONjyff9zZva5t3ntH5rZPwz498+b2eff4ef/r57nfc3uSkf8LTOLm9nPm1ne7mp1vatx7IMtb2AWa4xMSpYV0OlDJfModXmwaVPpmJuFmbu4ccNhluYYCs9CABBES5qqsvRBGwiKlEab8EKEqTMXoiGmDQm1JLeamfls5SbBlTpa2BR5XzhOlJQ8vr+vreDemFboZBllQ1hhDGNATEiox+cF6eyk0O4+l9MN5c6+Biszy/p6BRYhX3nxohxfOKcSIjRxbnXDkbR+HtcYc794Jdx0vQZfwiADdt73oIaS0ZEBoskOySHmthcPR649oAXOBsYVkeUsqu6jnHSr4pbwzuQ0oGSikY0hwqtCbgbK/iTAfyin5eYrbS2hR7Zxn1nK3dNkkMGWM3BNOjV4rwYknCTZ90ssqelco6AuAxUGTzV0sXK9YDfhLjpn/TG0hRzsgLiGx1+HkOwpN9FoHejzO72o6Fj5MLz86wBZR919yPHBKSO+l+NPzOz3zey37W4R6Md93/+Tb+WDjn+w5ZtFRuZ9H2KW7OjoArlydH92dGHKLOlDxazSLMhaAsEN/qaONmRyrhicVXc0sBhXNiByRuSKQQEDTJ8BJyyMIvWAwGhef2O1rLD87LxbfpXvaALt8yBSOAtNKQQWBBN7uGRENNhW7SiJ0ycQSWoQAuqgcdHx5Rd5PzaxuVUNMIlYEhFpAqmq7es9qE5BugHIWHUNnBH6waErtltzs/viKb2wNw8VrasPwjdNaoExIPRQGuV9p8wCNyxnA3M6iVEyx6b78eUbxsGyXrkKL1OUpIi6tpoMZvS+lPswqoekiL+EbmHcJz577DZkmTBa0IeF6B/XMzOXx7V9CK0VPC5t8NjYnczgieK4Wwf6+Xw2ym2d+/EM1jw873tNvWedJHS1zuhvTgaguuTCUby6zGgKJWwKcqeQIPZG5WiOIPA5bt6Inuf9X2b2X5jZv7O7KvX/m5n9Tc/znvV9f0xG4o5jH2wN42atpfsPanoTmlGoeLUh/NjJwr4H+iks5QQ53pMAn0EmS52cVFpfb6I1nLyXKdhAULS0B7LmON8vRyAUootcBBJTutB0BwH8KHAi8vN19z2jg+rpyPYZ8DGgjefAAUFreYCFpYwU7HuoKH9wge3v+ABeM3PnRhWlj7miXhMK5kbwJU4jBNFCIoy0TEJQTv02ypwQXGRgxBHfca8BLYfOllTpu9yFlApLKfi8HErWfWi8DYF0DWET5cdJgMd9BYrjx8OfnSBkm5yqAaUd8Dz7JYiaYk3a7ihnai2l15CCoZSzochyFzc2jWviaA0ikaGnJr0bzcwOOivOv40OlmOTsJpqAz2jIv00yooHSfAZMXNYHUhjzeWzxGuwsa+lVw9BPxutzNzgiuuwB26sD61BUheItg9Sb1/BeSDjmAVbdtcL8Rd8339rQv8Vz/N+wcy+5nnef02x03Hj2AdbZpoptpb1IZt+gV0vIKODM5J+GYT58/pAFGNuwLtd0yzr1JR2D3FxZAmKmeO4sqRTwkJJbhpdb+WoLt5Ezjx08pBMShJzLxMwraq68RKxcMqI+I2JFc0K21DVJweDi2c1DQuTCMpJvGR1PZ/aKsiqbEJF7Ng89+7bgXboB7eADQjlo0MIP/oZBlvoDsRinoBY7hYIvJliuJglRViZVAQNojyOPxwGO/NWYNfDUih183hfoy08K+gAQ9xinSXMS6I4KLk/nNFuSjOzL1cuyHEEyUoXDTQ5XPcaUOCVtCKaczEgUwjuWMKnmnoVCOfsKXYj6rOVuqrXPP0x/f6cAwu7a1Ya/MQTBUX3ruxrp24aIqMu9QLUClqe4f2Vlj47RIErQB8fW1WFgJfuaPAYQ4NPY8/txF0pwmx7GJ6w+SiBx2HX00aTzqjV1APnbPl27IIt3/d/JeDf/qnned+0u7yvc+/m844s2PI876KZ/frIP50xs18ysykz+2kz273373/nHqntbc0lQ79naBZt3Z+U/QI6sqbZ8w+0AMbUjYu6SDhZZMCMY3ffLdTmn4CRLCH0FHgr7CIjsZpCkXvX1COPhF12XHHhckqpaONmEkWOmJlZHNy4Fhaj+KKicxHyhdAuby9pANs6AdNkXHMS5GlAztvWKYSTvGhY3NN41VKF8erpZ4oaOHCDWIjrJlb2ID6LjZ+ZsmOizniWNw4oDpsaCJS9sadmvERUB5RFMddLlIbE9T7KRyhl8umimTZLLbGW/si5Z/T19U/r50Hv0yJNBC54VqrojqShspnZXhv8QdyXJkRAM3h+u3f0Nxaf0mv2YlOdAgagKfD7GGhwrnLe3NzVIHx4Vt8fBS0hH3GDrYtF7Xn+4p4GoEPYb1FOZndD18zISXC8IDo6Cz4kf9MBgqmFaf3+PtZ9VjAG+6g2ICH1Uu7crweIvcrfjHE7iGIuxxsoM6aOAs66P45hGTHAUt3MzK6Y2U+NvF7xfT+cB2NHGGz5vv+GmT1pZuZ5XtTu6l58zsx+ysz+me/7/2T0/W9nLvlWS+fbfo+nUX5yGwgF9kQaFqfAT+je0IWTgUmeu7C5MD31VQhx8xyIrt0c6uLHTZOBSXQGXTB46H1KOwAO4OKPhk6HtMxuRTOzAVrmuWs6RGkcpuMge39I0UHKYTgdn/i8eC18ZRBTVzNjdYh7KqUjUgHK6OSNLKDb8Cuvq7dhZlW/9EZ/5m3P18xsH8jYzJRGlLTbYTAVyWFDwX31cA9536m31M6682CvqwEjdbQWsekNgaI65R1w4+LYkNhVuv8o0QQkHkQXyFfENWTnbnkAMqC5yBB9O2vQnMpi7iRB5jmAPsWHszfk+EpHCfIOIR+k/v2ynjOTsdmSztMK7Lw4j4LGXAIE8z39jKlTWhHY8XBOoAVQ94p2PHNQjCcqzLCEJT4OXhMfUjYse1LKxsydu2wCoDsBg61+DiVxulrs3H894i4/7/84ZsGWmf2q3f1VQVHsW//um9m/NrNfG/dhH5Qy4vea2VXf928GmEq+Nd7OXPLpsA+O9M0Slfuf2Z5DiWwYXkZk4LKzCNuGAI4Gh2OaitJIZk0/I5vXzJCdMbMgWjIQYVmxX4FoagZ2PuDyUAdsnN0QR6Tt3sNkRf+t+RAQC3apgRfCrk9qVjWwcDl6R05XmR6y+ttHlpje13nTmkZHKb6OOmBmZpWOXvfvKNyW40dOawmqB8XdPmoDLMWydEoeDMcA2TvnAY8TuIcpGiYTHbztBh535hWhuLCkiAcTAfIBOU988BFTe5hnC9iggFzHanqNcreBOqEc7AHpYpB/raW+gmZmtc6YUik+Iw9Up4/H9eu7a3L8SEZLXEtxLTNS964BWQKiyJw3TrmafpFohDgcuCW0O5AtKZ3SZOl0Ruu3z65rEN5HUO0IQcMKaykDpIprIq4Jja/HldCzs7pgtK8qJOq74J5VHgrnqRI15VZIZIuUyVGq7PBBlxHt+CFbvu9/z3v5eR+UYOsn7C7j/63xc57n/aSZPWt3CWoHFm4u+bbDj5r1RkqHFCVkbdtBtpC50isthRQi5bkpBWF8muumAJMw8yXCwDIiFxIGX7GpMZswsnV+PheiCAIXojitGbeUMkgDRUF3EVWpDWjb1q6WLteWQKzeVtSnP0uic7iUAxc6die2i1iY2eaPAAAgAElEQVSswY9CA5glAnKG3YZm45kF/ZInUU4u9/X9FYiYDhBoNIfhmzqDZEdDjt2D7GrF39PbLQf+0kFUN1gzs9m0Jgqvb2spcmVaeS306SRKTAJ7j6Kk+P7MJoJkBNmJOjTlME/ptbhb1k32clJ/j5lr8M31oFHTycNEYgCT9vmMokRd2mBwADHhfSOayEGTZZ4/u1Zvtl0ElkjUQk4DjyIqAgzoIpiLRLIOD/XG92f0Pu92Ucrl57FDG/OOIqfUMnS0CFcDJICQgDWr6P7FfRq0uTnpIcuIowWJI5GFOGbB1ns9jjzY8jwvYWb/pZn97Xv/9C/N7O/b3Vv3983sn5rZu1Jq9TzvZ8zsZ8zMYsWS6GxxkyXcGo2HEy1j6EZkGzaDLzOzOqwopmCXM8BTxMCDC8/pKQ00KNXwlRfCLZ1KRf3+FkRXSdyktQYfKqerpummVVEoezuq82x1Q/mGekvUCktP6QZVr0PzCShNtIOFiqVRJufMMjtETMbzJbjBkMjM4zJdkTGmYHlUreo8a4L7x2vAbsNehcquesgAlEE7lcip32bmduLOowOTxOdBj8EWliw2XCIw4evNZf2HRAWfX2Dnrv49r4njZNB07xmDm7aP56mC5pFZBPZZcir1OwsRDVSqQ50HdFM4XVBRZJLH1xuKPi7MaADMxCeKwCUdcWUPFiDEugseG8+hva+/wYOYLOfaEIlHFTpaLOVSi5AcT3byspGD12T3tpZuBzl37kcQwMUhhBo/pO4d1sjM2wdXZtjbHjR96xgS5N/rceTBlpn9oJk95/v+tpnZW/9vZuZ53v9jZr9z7zDMXFLGPefwz5qZJU+c8LsjyBah2NE6t5mTBDpjgECI3VWNAHSBtifU0eImm0Z3XxUQOsmgFEWcWtKFrYbvo+J7ck+Pyw2NNKh0TN5KHyU+tiybmQ398MWOuljjFosapBzaW7rJeUUIs1IRHu3tPm4bOVtEQKhu8U44EgyKHeQKoqUHkEGYTWpwxQ2BXW7eLSBhqfDVMP+m3qP6Wb1o/M0uIR9CtAEIJwfnGonNjh0Py7NoEiCPhffF1dHSQ4JEPt/Pijqi9E6A+C69DPkb+CwQvRvivu23w4PwlIe5j9enIAhKuY1qW280kXIqyKezbnDFQWSLo4maWBKdsh0EX4WEJleZkr5/LyDoHR0euqM7M3rj6cHJbuc5ILSbOUyUikuGT67CZokVi2k8v0DjGcMy2Iq17//9A7fOsaN1C/rzMD4IwdZftpESoud5S77vvyWF/WNm9vK9/347c8nw4am2DrOLzhSgWzwAFJ6kwCfLhtTMMjOLwlA0gk3yEIRXRxHeETXVz9tsaimjsqnHJKwfgKvjzcOXEAiJ34ANDNrnuWiwFGtm5k9DCBGZaKSGDWYKchPk6mAxya5oaYXaZFyY2HWWu0MBQX09dajXqIfyVbf47peaaw1tbycPhYR6alRxOJpU+fAyILWGDp/Qz4/sINNGsEXEMzbm+8wCzK9Rgp5KwlDc11KkIxGCErm1GDXroYNwgppD/TU6DyS2dJPOPKbIHN0UzMxKeY3UmxHc5wzkMJjc0G4HF7brIKSgGeB5/90XHpPjzzyu9nBE4jIoD5P/SASVBulmZuvoYD4/tSvHJP3zeTd092UBs5J6wdLtNFTxY/N64xuYNwy2yFtNAVnzcX4erXfMRdvJS6V/bLIMFXwYwSer0N0bQdu/zY2oP5DjSIMtz/OyZvb9ZvY/jfzzP/Y870m7e+tuvPVamLnk2O8ZWWApchhF9jBAYEE0goFPBu2MQd2IPjatxUeUHHoL5FGaqDIw4YZDHa8YOig92ETMnAcE3gG3BkhcFLIN9Jck9yAo2Eqk0M7ONyDYokgggyuWHSkIyg3A2XSpKI9EmH0PjXkIU4JATwRlQE89c4MpqqezzEgPvDz0i5LYFCmG29miwKeeD7lBRFxqMETmNWOXKgf5VGYBHVmY69zEYuBM5UAeP4DWl+NtyCZXlh0xTSgJwnnam0Lgg2uW+bLbFGA/rBs9VfBj8PGEvJJFs3qf1/JKI0hgZ3W4ewgw/8bH/1iO52K6i79SXtI/R6YSq1KkdXyiQfSbchg8JlfPw7pMlfoYdLKoul+hewPWo8Ytzb46JX32HK0xumzg/PyC+2xEkKgvLGojw85V5bp14IoxSGJdRtIbGdz/fMd2ajKOfBzpLfF9v2FmM/i3/yHk/YHmkmHD65slyvcnZa9AEUOgTFg3uDkQ8meJIGgMUVbjhkI+gCNKiu88RFdbtQYkivpL0B5i6/cuEQ9YVwwPYE0xE45gpN5BWYElKD/J+kz43/dZdsTwD0FKxusx+AWzrBjtss0a84BG1NzkAzz/2GmXBk/k6o4iXStrGhSzZL2Y1Q2hgo4stpIz2yaytQKto1djqs+WRJA9G2C6rF/o/hOfJ8fn0wsPsqmaz0GagGMgzj8nclVFNyLezpZ/tu8PPgX4wcyyOGdy5TqLGjgkbsEB4iTUzrHRk7pAZCu+jxIYgivqYh2g+zBXgrE1Ulw2l+TjLgJLgd0b+zq3utRLY6CO614AyjtOc47ejJx3jYgmrBTLJVdwnNUWy99mrmcsy7Oci1F0ypL3yvf3R9awMZaj78s4bt2I7/U4/vGvZzYc6UCMYwJX1/B+6LEQjWAZkQtdkKihB7sN2mUQ4ei0AEHgOymOR0SjRVSHvBQ8idEG9JIWQejVP7cIMtkIgiunszBgsDzjIzAgz43DP0A30Cx+E8jZA9i0xOsoxaCcPC4zJJKVgG5XK2C1q2EB54ZAdI7aROREFbGpcQNpsfMWwRYlCRbS+D7cE8oosCPMEVHl5mAu94XoWgG/KfYSfP8+htmIEluygnOcC+865f5A9I/BHr0YibDSTcHMRaLjCLK7KPNRT4nNIRlE9tc7c6GvD2Pha1YbP7qQwT2gzcyYTjcGQmZm1SYI6239TnZ5R8v6evykBvZsRGLHJNdEJibkvfqgerAcTH9IeiXymgwpo2JmKcwNytlwMg5Qlk+hrJgqo5lkpEknwAv8/R+TYCt0HP9gazImYzImYzImYzLe3zEJtkLHsQ+2/Ii2zKZ3woXhqO9Uhx0H+VMH/fCuFzM3m04A2SLEXYspjB/bA6H9FD6fpU6U2Py0ZkDUzRqmw1NVIhyOjyDkMtq3FJI3M/NL4DgEGLXK6+BADGCfw3IOCbGDBYhh4vNYJmRXG7k/JKN6A/376ilmqW5mS15JLqnnyM68pYSWEWsDdrGCs0E/OPIRUap1JD0w+uiwSsF9IR/X899r6bPgz4wvJ2+UlXP11MwtOU5AAqq8AasoEJMBTDtG810S4NkVSxqB0yWLZxmIBzWzzMwW8pD8AE8tBxHjal1RF2o6leKK8kxH9fhye1GOB1m9j2+2VKagD6mX/UNoYmVw/uStoeSX4cNjZstTeiPXfXDtcI513JcBuhHZwU23BHYrJwD1HEKzzpX0YKetHpc30QQA5DxIm9vxX0S51hGDphwNEM/sJioKqfvXJNJ7wJGPPykjjhvHPtgy02ChB82aeENndHod/KST4ZeI7fskk5qZRYvQ4gLngg8yO2t86KuwXES+A2c9y4QOb+YAwddieMF/gE2YHDPyZszMBj5ge2zElItIbKDMMI/AAqRhylOw3MtdNLMN3ssyPPkg/dBGmdFj5x9jrQCC/HTaNSkfHeQjNYdU5tbFeaelQW0EX9mfRictbZlwjuQOUj4jcgeNFpCi2GogyA5of2cnLQNQ2qrUPqrRUhy8F97n2pr+BhqEc24yOMtuY0N02Op6yESHPqJmbvcguTvslGvvq85VDyUucqy+dKC6eizFctP+080zckw+1XQhfJ76SJQS++O3kTL4hGwS4BoWha4Wr9lGW68RubMsU/axLreg0xdL6/eRClHA+XjQWzRISQQ9/038xtYGhFZxGSnJw/vYmtPnq1O4/4bBO9D9e8/HJNgKHcc+2Ir0zFIjaFZ7FtnBuh4fPKx/zwckis6hBoxzOwFknwRq9UlkWQy2SOJlaziztEwWgp7YlBn/UYyyn0cwhw2MnA/DOtOpQAk5gG4Va0Kgbx78Hppfv6HXff8MAkQgCuRsJCAY2N3T+1Q9FY7q+Ihcln77phzf+strcoxGQesFIFsUYmyAD8juvtWEik+ud3SD2anrYs37GsEG4YOH0oQZ+FZag6Vhn0G0HDq+oDW0zxNZM3M5W6tTUIynbRMQSa+OaGdJLzx5yQymyMkix6sNGybHgwijCw28YsbtRmYQTR4Y50V3PtzHj0bTj+VVbvD1hiJbHOyUTYP3VgfiSZFjnhC75oIGEwFaS3FU95HE4vU/euOiHM/OwHsR6CDnFfmTHH0EaydXtYN8+5YS/MkF7gdMm3YCUin4GyJDjnYfgS+g6/30yOeNp82+52OCbIWPYx9sxVq+zb58f9ZufBI/mWgAuhV7FQ1ckggaGgOUrwJUUePI3mlqSlFSkscjUGQnsrWU14XmMhYq2vFQFyu5j011jYRY6HzVETgVYDcUoDGTvwPz3dP6OlGW/SfC0QASVgn7vxO0TQbjSWzKd358LfTPudA4HaXmBieOXxuOZ6IKy3x1QxEJem46vxnXjJsss++dHZToWMaANhkDJ9o2sVIbdM7V7phkhXMJwdWgig0MiYojZovqET0wucHFD6FhNQVkDiX0mQD0MhEJTwyYbDFIHgI1WYdUSwUaVW9WXH/G0cGmBPo7thBsVRMojbLkDuScSJ6Z2UJO16jtugb2hy+q7IGHCoSPhHN1QYOf3SoU6XEN2ZTUIkGfzwZKo04zSlFL6H2K0OXdRolhDegXCPBs6umWsAZi74m1UM4dbTI4isBnEmyFjmMfbPVynm1+4v7PZNdIN4eHDFkeW3i74CscdFzTVY4cOFlcfEtJXaDZmWPT4VkgIfJUQb9vuKkLkbPJY2FLI5hjJx9LKYw02K1oZlY/oe9JwsSYG1APpcokAtY8rul+TQPMbkM3jFxZz6mHihdb/seJlHJTHuOsY2bugs/7XqI8EjKBjy0puvb7X3tCjhMLY8o/mMssmbdRPnacAmCFQ8sVain1i25nLrXBouis7RB6CqexWLwczpVjeXec7RIRzSTmjaAH5tq8XCpsGcd6SxFJltCo4RTFXB/G9fUXD9USlp6aJ/MaiKx7GsjQiLoKh4k4AshyHWsc5hE5n9SDMzM7l1cR00pbo97pJ/V1ml93mjovKuBkEWFcmlXElLpcvbL+fRTiuJnrsAP7kL5OZK4O9wcismZmEQRgQ6Bv6W10/8JaKguT9foKDMzv3L9vDif1AYwJshU+jn2wZX64qOm4xZiSBCmgQOSpBPFyikmUOqAyX4R9hg8DUg98AmbC1CbiYt4HzB8FAkKNqCwQinIO8ADRO5SbSMQ2c8uIRKKigCR6CHrbTd0gsig/1eJASGK6kDG4SuvabkkEWy5kr8eDZHgwRuK0mYtonkY7+m2I29ZQDqbnnIcNolPW98enwrk7wzHSENTpSkCE7jq0klpQ7XdqegGDzwtJ/14NZUSYZ/O+UIx2wGoxTim3BeL0GjibQBeKb0Lg86zO04W4a+q82VZI0NvXk6qDe5OkZyU88zaq+nlPaixnUwm3lCnfh3IvaQBDJGt9JELU/aN6ejHqroHncd9eiatw6k4NyBRLr1hjmHw1dvU3zZ5Q7hy1yZwyG71aQUanxh2D7Br2FS9Auobaf/Eq1019f+KQZUZ8B+Z+e/r+uk9dwPd9+DZBtsaMYx9s+RHNyLlhOMEWJwyemTY0qDzox5wsaFZp5hLiybko0XgPw4OmVOG8bqL9mH7eFAiuFXjk+TPo9AECPpXSxXorAxSqqqtCFIvtsO5OK4pLdpCJRunrRwV5wPzUeKqjC8whyCNAZfmoAySLcmmzz+kmuv+kbnh+FKWVmBtsMSheSaqC9PMHq3K81dey3jx0t3yWKknadVrr9LAHrh4J9Lxm3AyiXM9JCg7gjVQ7QBSwqfaT0BLaQWkFJs3xMd2E9DrMbkCzbonOAPr+Pko9tdP6BQu4z0GBBsutDGrZFUr9Nf6oZYjPRjGvnDIeEU2o8Edmw3dJ8pcYhPuoN/N8zMxmIloSLyIgPLO8J8dPb6zpB+C+MkivNhS9o+E5B30HqYuFWM5JcLnO78Y0UYoUx3fi9lKY63s6D1pT5BfjnOhaMfJ8HoWo6STYCh/HPtiyqG/9wv0nJ1nRn0yKCDMSD4EG95MsymEs0Zm5CwONX08mlQjNhSC2pH9PSPzR7IYcv7ytWWMfPBMfyNcQSBS7mbKAzCtAmRxz4ABxZaJnPQRbHgjtlK/IzuAaQiZhDgTZg5q+ztImidFOWTAPQu15hcYI0/sAE8jTM3NFSWn19PHZ63J8u63I0cWMlqgiQP8GCHKHQN/IvaOzQQQoktNhiSCBXXQMnKpbrgSI47OHQc5W55Je2CGtq/A8Ln5Db+T6d+vn1db0/eTyOZ5yNEvANXF4cwERJrs8/SwENNFJm8kAnsM5zKU0cKGIaSal6wkXLZZ7u3jWiKz5CMK5j9OWiSKpZu4awU7WQ5Th2F0YxzrMgHQcJ5ONTE7AiEChswLRVNz4xZSuN/EDVBNS7vNvNUb+QOdWw+VwxqFVo3P3SIyoJ8FW6Dj+wZZnZiMQb3MJbcsVLCTYlLm4U4eLD30x4fIVZmG4toWyQg4cBx/lnS6QJC5MczHNdGdzupA19jXwYImrF6D0PTqyyIQPgTpRrbk+406rAUqjhmMfC3ysjO7CBbRmI6hdzmlZsY5uo+IbkFUAQhJrc6EjRAI0YhmlXvx5KmDlGaJExo25DujoSk2Jzt+Z02BsiA0jmgsvN/cS4CMiWHN2UQJn++C94R7MQ0+quuEGW2dy6ut3pwk+E64Rn78I0Dt2G+4/HC4B71jNYKqyDEltsS7Qht0tRR93TqCLwFytPgcxRHkpVdTntwZNOZbE3CBen8fUul6TWjJcY2oG398pgk8JvhPnSW3oao2V+1ompMr8ucyOHF/e17nPhI/XdJCC7l1Pz6HOYItTn2bfWI/2Onr+J9Ma0LJxIroXEHCuanJCblx/A3OHDSr58MQgszPyGyYE+Q/cOP7Blu9p5kVNK6A6Q2jaJPMQxwShfj4L8+CkbvpmZkX0zJOjNQVRQsOmmJ+GAz1mdRsaVtwEHe9CcLJaeRBiQfonqdnJKildEWBVkSghoGRHE0odHYgc0oCY7ekzyXCU5eA8mgj2EdDivqZ30Q6/Em6tMf2aXtP+95szKPVwiC6yIhU4MWhRki/q+4mQODw4zKsYuUFp/Y1RmIM3VlGKRQn9RF7LokHeiLQgulJTP8hcnKQrzhP9DaXXgRLNIQjGfXICRuxvRK46cyhnY55GYJR9vam/x8zsEGRu1nhiuM4MktnwMsDfU3eLiGn7hD47uYK+f9zznIZpcx8tnT4ehusttxtyr6MdJJfyitI+llKS/28ktPmDsiarmGvlS/os7TX1+xwvVogee7imRPeuVPS+Mtji8JbdpDuBubJU1CT5yjwsgGDzxrkbh0VYc0SL8CiMqMkpmwwdxz/YMl8WSKodOzIF2JBKed3Ed17ThaSwqg8V1Z3NzJLYJONIq6Yi+h2z8/oQtmB2O53Q9z/fOKmfTyVxEOw7ULA2QN40RF6dwSaKwRLB1GzdeQ/LauWKZopU1TegNLmELo4NXJM0VKtL0DvaHSqngl1nHA6xGiNV1nmz97ieDzjLZma2DRHS+ZQek4TLcm7K03lU3dFruHhCNwB2dDH4SWET9a6io3MOnYPQmKMidgnzMkIOmJkVwU+kOXeTXBsEW9RL2vqEHi8+DQRzBSU0NNaxYcYpRwEBiYBmMIT0xI26ln7NzA4r+qVxkMV7Sjdy9MpyaZ37J1LKFyJCmmUjBaRjyNFiYpJFqZfBXRUJaQTzgt2VZmbVrgacSZAiObc5Ukj4Lua25fhGRq87ZUwyCDAd1w3wpXwEqI9Ma3BIwWFKlPRZETGzk/P6fJK3FjvQ6+ZoE+JxJjVidFt54JStCUF+7Dj+wZZnQhD12TWCxTwCNCCX0IeuvKKbBR3u52KauZuZdVGraEHEqYDMdA5o2a2uBgrLIFbfBLeHi+cQHC2iA4aF4eRJhfSptuxs2ujMYWYcdE57LIGx+wgbBJsMOFiim05p0HtrCZi7h2sCQKUNBeZ4gzIImDfj+bDO4DxgQLqS1vtMk/Plk1qSYyDiGILjtrA8jEvgjERFP/+ROd2AloHqDhMszZpNgUC+mtPf+MLWshx70EsaNDAXob/UT4ZzMnsFPP84RYKLQxqYQ3crPq+/p9N3l9TlBf2NOwfg/yEZorL4/EN6nSl2S2NpjshMeCJyZ09TgxjRQzbMsCkBcYXT+Wdm64ca/AxhHL8/0N/cxXWMYx1eSWjAWYbFEI3sHWoF0P3KJuQxDjSymTql95kl/wg5p0E6e2McvPuzek4+gq/0TkDHycg4aoL8hLMVPo5/sIXhECOxULD0ws6a7r5maLlzukVxMzEzu93VB/mlfSWw5xd1IZkFAfZqT5EmogOL2GCerq/JcQql0DMlXaxfAJGZIqt7dUDy6PTjc02BQTOz1WndcKLkC2GktoCiPAEVfQQmDFwyUOWmP+Qg6Waecn6MPMZQuqbfQKnlM+5nJoHekbTL33A6o8EUkS+W7Z69cUqOyaXjFlgAWpj8zk053vkTDXy60+imRDDIMmek4G66RDBe3NbvoKL85Yqqoefn9NmoH+qmWD8B4Uja+4zpXuxh6nqwhaKEHGVSiMCauUgP3Q9KWQ1mNocamLAMOQ2xWwZbJHPTkeLilKJCpws6z6ifxiA+fRu0BcgkFALK4Wen9TtutzWB5Dmz7Ech5yxKpSuzOhd3k/obppJ6TgXI8RxEdI2eXdDqQimua+5mGwLAW5TPcLuEmFCyS9UpG5bBD8ZHOu4Ho13mE87WB258ewRbIw8uM1US4qkIzRGDthGJnhnPXWy5kBAST2ETZZmQSBQJ8TTDpqL8m3fm9ZwBX0ey4ahRDaKHDo8aC2P70M20hyVA3vibLkqb7dN6HclTo1I31dmHY4B0kkuZdCYOweUDoEIZhPoSzIXZoWku76SNTbiE+0KuHwOVlZRuMK9l1WCYnneNKO4j7gE34ZsrOm8MQfYq0AUStamYbeYGZA/PozwDXpuh7M/yTzqn8yTaxm9EcJU8gOTHDMjqoFeR10baAUtssYD7ngO1gB2MDNAodpmYhko9gq1rXb1PVcrkQ4Mq/hDWE8yjGzVFytfympy9toYyJXhs83QPN7M7CUXP9sHh2mxp8ML7zGvGjscTOZ2L9Y7+5pNZ/Q1Ewl8qqewKRymm9/DaoQZn/qLuA+m0u6aS1M8AknplzTMwrn9dn40ozKZHE8QJyvTBG8c/2PK004Q+gb6Fdxdy8WRWSpRpPhrAV8LOPq79nUTpQiacu3PQU04INagoEUBvRseyCBcpCW9Hqr2zzJgpuZktF0sqMLdakJMAwshuImbbHGxC4OrD4IrlJseQ+CxkEb4F7zF64D2U1+Dmcl03zdWEogFRBJwn0OLPUkmtE15e4oY2Q74hyeCwZXkYpGYiLPGSSxJmKdQhg6MEFa9gky3qPElDJoHBEgc5W9yTKH4eJzm8T+QbQXnAvMyD9H+t6wahoyO3oGtItz8GhcWvYHI3nNJrXsWz9EZV5x3vST5G408EwHiYSNg3c1Ec2t+8UdFz2C8rMhWd1QDu1aYioixdsqmHmnYcEQQ6/P4sKhhsjNq5rsFXN0DQlwglky9HNQRAADthOzV2TDtf+UDHJMALH8c/2DLtfHPIqWzLxiBJmbyaII4WxyGUwBnAtbE4kjxKonMCwRsXGieYW9e/L1zUQCSZCke2qJZMNXeO5o7rXcMOSH4mj8uvauk0sQaSP7zImClTB4dE63HIVvmh8OCKulyNVf18t5DqIoonk+FlwpUYidD6HWsJFYI8V1BZ/Od2TsgxEQinVIMg3IPMAqUmTgBhLY+LdMwNDD5cvCnHL9XUiiZ2HgbDtLrpkMOF34gNgBIBY2g0Dh+RuDVto5bSLqpDXidL4I9Ma/n28qEGHhtlRX3Ib2Jw5YRyuAY/NP2SHE/NacL4v1/9ITlOQl/DoWK8A9fjc1mdm1/cUCNpEtrp3EHh19eqWl4m9YLahgtxOE5gTc5k0YBzJ7x5heK8sRmsqUm3jFjdhBQKJD08lrzp8LBPSzPwXt0Y98GOSbAVOr4tgq3JmIzJmIzJmIzJeJ+GP0G2xo1vu2CLMD85WyytjPMZy0f09emATpybLYWYaURdQxtxHK+34V1GhGMafIJZdOLtX1IEhZlqDJn2NNSdr7Rd7aDRkUtC1+eaO606C5BGQEdUOq7XbXdaj+eRuT5SUDRgq6OCSQ1oN3jozINShNNNyHITERAS6CH675j9mpnNJfQ3LMa0tPHr60/J8amkIldrcT1eBvLFbsBnfUW2IkC2akB1e0NwiaDjVRsoepjB6toEIttruNcggk6DJshvC0lFsoi+0Ypqd1MRkVwVtk5zQO8aYwjy6Fbso6ush5IeeTdEWM3MTmf0vnGun0I5mI0TO2g4uQ2tiNoYRNGDgDA5n8tRvea062JZ0Yf0QyKnDw9LxWau0OoPrrwqx9/M6lx96baWCTkW0nrOh5CWoEI9G5e2ezpvZuCG0F9EtzLmLbtob+8o4T+os/fcBV2zrq6rjJDfBGE+B2kWOpDhMo9KQ3wrNIf/32MSbIWOYx9seR3PUjfuL15t2DDEWlD1pkkzZhAtStgVEzQchWdwd3YGrtJ22GgjOJuO6SZ+vaoEV3I+WHZgWZMEfZpGxwGRk4vU/g63IzMOEVOSghPYtKgUzo4uksdfaIUTXLkQcBPObEPqAdS7SD+8/ETiNc1+zdxmCm4A3zv/hhx/d/qaHP+ntnYbPpZUszQG3X/ZhX8AACAASURBVOTJMXDZr2pgUJ0BsZoDpZ0mIpUuykmUNDBzu3tZ3lmF8OMXY1pu4sZPK5r2TPiK3wHZPL2JZwOPIp0KmJiwwzRozMOcOoFyLZ/fpZRek9cSWlZkQ0wGkT9tniJtkM0hRdPBerCa0UCCFkqOmXdmfP1qGc0Uv3r743K8kNHgidQGrsvsmCT5/GRWv48B4HpHCfvz+P7NAyRv5CPiHlKkOWhwnZyZ1vte9hCoo7GBnfOUo+lMj5zDA5Z+OAq7Hs/z/hsz+3tmdsnMPuL7/rP3/v37zewfmVnCzLpm9j/7vv/H9177sJn9azNLm9nnzexv+f6DUWM99sGWn/CtvToyyRE4DJIkdWBxxUNFkmPWg29ggHQvW/oZfDXZuo3PIDGZivEb0OH6zrlbcvx7Vx52zml0RHFNaC+0NKWbxcaBZoUMhPpVF9FIzOlCQzHLaRBYo9jUSKDlhsQNgjYw7PSxut7n9I7ek9pJBA6wNCKyRXCh03RJ0NwUOXf2e7rYwivbXmxq9n82rnpojnI4DYTZJIDP5zVjEO619Zpc67kCnqODdiRmbnPHCTQB8Jpw9KhfhLlLkVLSiWJNJFe4bytf1vPbPAfdLmyqK0s6Dymua2Y2H3N5XGGDxvRxcHnIH+JgQDoE9+dGV5HqSlRhXBLiGWwl8ujIBm+Noqpmbgfljyy/IMeXm8rBYlBLTTiO3Zo+O6UFvYacd3+2o4kLRUsLWb0Gd7o61+kUkkFXLNXhzcx2GiDdQzvsIAKtsFl0qUJeojOFNWkk/xzHRXxfxoNXkH/ZzP4rM/sV/Puemf1F3/c3PM971Mz+wMzeIoP+SzP7aTP7ut0Ntv5zM/u9B3Gyxz7Y8vqeJXbu/8zeFOtBgMjx9+yiIdycQsY0RbM2M7td12DoElrsb2PTIvIUXVAUpzJAjQuDkDe7CTkG2ECIGnHxZiDRyWMxDuhCYwcjkS2SiPsIFPj+V0GQZWdfKoYsEWXEGJTCW/MQKcUlc7I2BCoJaN6kZ9yuVM6VDI7pfVgBqkJS8EeyOq84eA1jQAsSIH9v1DWbp9OAn4PTACQHOO94z4MGNei+K3NFjonKZhk0Y+7Ga3rNunjeHQ87WOVsfFKvWXdfP48dlgtJ3VTZnWzmOkRQb4legqQRcFNmSY5q5r/92mNynNzT3/hyQ1Fg6mI9X9bXl7MaWDjeqoPwbkkzt5ni39S1EYJI0VRar/N+Xde8h0qaaLyyq4lI5qKuFwy2FrOKZDGpTqCbcburz8YFmMK30U1dS7nINiV/SGkZNCBiSj2zPPTMbuk8qpy9P1ePooz4oJEt3/dfMzPzPFKB/G+OHL5iZmnP85JmNm1mBd/3v3bv737NzH7UJsHWezP8hG+9EyMPXpVGtXpI6xkamm4e6kNH653wpu67IwuEg4vn5YZuqkNsus/X1J5nFfYd621FKPj3zFRZKiFCQlFTEl0Iwe9VXd4KdW3IhXM6npDNk0+UQvmG2j7fKOs1ijZQHkYwRR0tp/uQ8SNi9gFgqGLSLS8T0aRswDebmm2zzPixkgZjRDhp21Ka0fvSQGmTnXTUjOqi04+iiyyhv9YCz2bT3XBYjiGyRc05dqlyw4rvQTAUMS78jx0bJpZ/uR50oYI/QPCXRwvYQsz1Rp3GfeRcPgCimXMUdXXw+WSw9aOXFDX6nfijckw/Sgp+Xixq4nKrEY5gbu4p0l055SaDcVzmR3JaAr8GP8XplF4zBia8htMrQMZxI2vQHnvxugaUn7z4phzn0NFN1w6OCGgQjqyDmZ0vakcmJXY2c3od+49gHtzQedJYOApi1tuMD65dz18ys+d83+94nrdiZqN6NXfsPuL1vo9jH2x5Xc/it+8v8IPTurAMUPJiy+5mU4Orubyu5pRtqFGu2dz6f2ZeH+Tf2lTTVS52pxZ0QzqV1uOnMroJ34E6M8tHDgcDg5soN+V2FogJAtT5oovqlBsoVVBSA5tsAvYXRNcod9FBtHSrrNdgAGNr24Mx9R7I3gvw5EMwNvOSXpPtj8C+IyDNY8DZw/FnCtqS/0JLg69zKc2mX2vpOsGNfy4L3a06JECgon1lSzc8asp5UGtn+3y5izLIghs0vNrRcyaKeyamZHEmAjzn20v6LKW3w6VcYlX9PorTsgyZhWZcrxeO4nwsfTP09aDB8jGfzwqoCxSG5WDikknpNVrKaGLCsuFWW9crks95DWg8v9d3Oai30XFCE3YOagVyjWHwxcYmip6+2QESfkrJ6qxgcA2mliFHf1efhXTJlQQKUtaXz2jrOSRRmmTx2OWRHoFHj3z/u/6TWc/znh05/qzv+5+Vz/S8L5qZ3ry74+/6vv+boefjeY+Y2f9hZgF+Hg9+HHmw5XneDTOr2d251Pd9/ynP86bN7NfNbM3MbpjZj/u+f+DdxQv/uZn9kJk1zeyv+b7/XNjn+zFfDHUjg/AJSV0dEmCvbGtWuH9aF8q2724wXAiIZH0axOivH6zJMbOkS6kNOSb5c7OliyUh8VovXBE+jzIiM7KdQ4UL6PnVDSgrLBR08SEiyOCEqvkkl3JDYnZPe6Dr2CCGsDhqLEMJHNUgIiIHF0BefQfrHM+xApSHSBWz/U9mdZ5cbqvtEzeY6aT+iJsQis3AlimBRKPVpNCsHFobROvttm6yQ3ozmkvuPpvUTa2MkhrLSdS9o3VUN7yy6iBZ7Tmgje3wG8mSPNHKC3EX1X2tG47SrIMrR7L3dCbcSYDnUII4LZMtBk8cy2lF5zbqxbd5592RhcnzZtd9/zORM3LMgJHNI7sNvY5rUxqEU8GdQTkD2OstXbc3q7pGpkp6PrTn4bPVxIKQWtJrHiRuu9vVdZPdyQ6af0d/A3VSh4ALkwf33xDQEPr+j3ePbO35vv9U2Bt83/++b+VUPM9bNbPPmdlP+r5/9d4/r5vZKKS5eu/fHsg48mDr3vge3/dH+6N/0cz+yPf9f+R53i/eO/5fzOwHzez8vf991O6S3T4a+smemTdSCoiuw8MKHA5anFAsrzmtDxmtMthZZOZmlgy23gA5lIHHSdhlTEX1wb7R1U15BWTxy5t6js2C/gYGcyQpn0zr9//HO1qWyK/pQnkBfAozN3Nk0wCJxSQic5MtdzTTzMaAQOK+3YnrhtZPQ7l8D5kynozCTV0IWzPh6s9BZYQyAo1XOlrKIImYyNcUuTpY8IlosFQ7GJNokN9KAj1RH5a/SAAmn8rMTRRoLbPe12hpu6IB3NmiyihQqBV5gnWmgVgu6X2MNXHfcduI4sQwLyhdMQhAtg8RVNOsmkr/a0V93uhVGiStMDrIuawC0Wzn9dkbdvD841lk8sTuZKJOtxpuxEu07LtKWrZLIvhi+bjR02t0bkrnwat7alVFKsWNQy2FUmR5pwk0DvEiUeOdrr6/Xdfzq8XcJoYoFeARwNHpw4AMD3aY4AF9T4wcfxtwtt5ueJ43ZWa/a2a/6Pv+n771777vb3qeV/U872N2lyD/k2b2Lx7UeX1Qgi2OHzGzT9377181s/9od4OtHzGzX7vXqvk1z/OmPM9b8n1/M/BTzMw83yIj7eQkyFJnK46Fg+Uq6qm8WFJi5rm0G2hwcGG5CLIl7TNo98Fg6IWGnsMbFV145gBpp4ASOUriWMxn4/r3EfiAcZPnsZmrHTTOu5Dk6umEBpjM5hnMUf7CaZTB1/OUo20EFhd19UqAmkP15qDMlv+209MNiOVb2udQ16rOGhiGY7OCwWt2dlbL05e3NYjvxjS4YwnwYws35Pjzh48430lEY6OnzxPRv1JeEYYGvBOL0N2qzuOaAGQtvopSLvZYqGdY/yJU9BFAVuFkcKvvEuRv9PT53NiB7MBsuDQEracon8Hu5SzWC6LETASGWPNmgLicmdJ58RIQVRLkg/whrx4osvSpkqK0B9Bwo0l6Fxyt81ldZ5/b0MSl3Q/vxOVwXD0QCOWY7KFkPjun97DykqtNWJvRCgErAsMuyrPQR4uyN4QE4ZHb+k6Q9vd0+PbAuxE9z/sxuxsszZnZ73qe97zv+z9gZj9nZufM7Jc8z/ule2//jO/7O2b2N+y+9MPv2QMix5t9MIIt38y+4N19Gn7lXs12YSSA2jKzt6KHFTO7PfK3bxHc3jbY8jxFioYIriKd8FlJns2JeSWjx8A1on6LWQDJF8HSEBkKF695CD0WsSkTgj9d0MXxtbIGX8zyuNCQaE3hVpp1k9B7o6kQv1kAxwpyEdy4B/BfY+DBz7vZ1N/0HbOKDv/hwUNyzOCIlIx+GuK32D9iLSAmRXQWBax2GSAGqwmIWQIB4X3g4HV3ApWAzrjR8WhBUaYKeDSXDaKL2XDJgZNJ/T1Bpu4Dh7cGWRNoMbAjkuWik0VFcV8eIsjGjTtE8BRzGifQTs9NuK33qIVr/hKQbjOzP6mqVtj5FQ0UZiBCXOkqErXbUsTwU4XX9RzZpINkiRpQDDwoskzyOQ3Pnx+Ad9cNv0dmZit5zU4YdH8ye1mOb4N3ehtoGbs+T07ruswxl9Fr/PqGrolRlNijKC+zGkET+XJF71HxEV2DzVyhVWqFsVs4Bs5WF8hxqgwB3sz9+3wUKNMRdCN+zu6WCvnv/8DM/sHb/M2zZvZo0Gvv9/ggBFuf9H1/3fO8eTP7Q8/zZCXxfd/3xqUlGJ7n/YyZ/YyZWXRmynojUgVRSH2ndtEqjkCHaATJ7g+XFJWiVlHQZ3Cw9NiEsfNeJ8hpb+Sc2op5v1nRTXIPC8FHTimJ95vICqn7xa65dpmt6rqBff3amnOOHz1zQ46ZqRJlSVO3JqEL/q2OBnRV8FAozEreXEH1Qq0OTVQiHES6HFFTjTPekabgLojELP8QUaxhE2NwxeCL6CHLgvRm5OhQAR46W0Qwl+O64bHcZOaid0R5+ZvYnHE+r+jAJspTYySoLLWD4G6J4rno6ES5qYYmgS/fOivHp1LuNZ1L6H3ciut9v5hT3torNXDxPBi9e+FBNhNEBhJMdJhs8b6S1tDbUFQnthQe1Ju5gQZ5Z3TFIKdzu65rWGdWrwldM5pAtnJA8y8sacC739JEg4kHu525pmegy0Xub9C4Ulb0q7+jc2sInS3H7YRl/pHbeiQVvQ9IGfGDOo482PJ9f/3e/+94nvc5M/uImW2/VR70PG/JzN56MtbNbBSTDyS43UPHPmtmllxb9UdNiNmVJqq7Zhbthos3zKHTjgjGNmv/5qqJt31dHLOmWRN1rzh6QDy4GD45o5fki5BiWMvohvCcr5HGDoKAIb4vDdNVohVrS+6GwyyO2TwHzXrJU7uQ1yB3G3Y9lOwYAJKvKl/X4fpQ7NKPwCLpNV28q2vjH6Vd8DwuFPQ3OCrViBxe6i6Fvs6gmx2fFIqkhACDrxhU/PsgvHPDmQbnjDIqZu4m+4UdFdw9AeXvdj8cNekP2fhA4pke9nLQ1aPQK045DwmPAfTTLs3oPdzruYnROMcG2jI9c6BdqDQ9JpLFsdvXZ2Emr88Ov5/I1g3YixHZSqygvI2AuBRgcbaLhPEmhFV5zq8dKvLE4OV1yOMQaerjms8mdV6RlnDQ1lLvHmyXVpP6bNLxgte0lHKvwTYal9j84alajVW3dL2IQJw2t6nnUB/pYHnQoqZHoSD/520cabDleV7WzCK+79fu/fdnzOyXzey3zOyv2l3J/b9qZm+1eP6Wmf2c53n/3u4S4w9D+VpmZkNPla8LyDjQCk7vs9W0PqTP76qWEDOwmbSb5VUamrHUsZOfjOsmx4fwahWKz/PQ/mqFk8NPzOhiWUQLcjpJdAGK9mCLp6HmXEENztHlMpcncr6gCEUaMH3tCrTCHkI5FyKJJNwTOYtWoATuxNTYdGFNQ1Hs8iX9gEQ1nDRs5gaARHmoUp1DrTPB4Kuic5GIBS1Q+pjbh+DJUPOK0g9EBxk8UheMqFTQeKSoj+8zexpoFFN6DZhY7LchN8EKFoKt/jSspsYIRzIpYKDDcnYQX3GIxgSisPS8ZIPLtT1Fzyq4b7/+m39Bjuc/qgHgAdafXEnvC68puxWfyOs84vOfRiCUjbn3nV6lRDSfqep95zlx/dhoaGJBFJdd5GspvcYM+q8ktRoQVAqV78OzUKnoPVkuuArydLmogfTfRcncQ+OCjwaVvcdBsB+5LbT2ed+H7x+Fgvyfq3HUyNaCmX3ungJszMz+re/7v+953jNm9h88z/vrZnbTzH783vs/b3dlH67YXemHnxr7DZ5v/mhG0AUqhHWBBNiluD4geSw0XDR2m26gcXEOasd13SQvokOriMyQJTYqyNMHbAp8BqJKxeh42H90HEJPqQu04VZT+RSZAGuNZkcXW3LduLhmzirHwxXwxOIasMnJ+6dQGtkGgRb3HWuzdVEddkRPe+MLh7NJDYK7zL5jlMeAITkixO+ZU57LF3eUl3a7pidN+5xtEPTPQIZhoajnc3Ndg/7vKirJOc/S0JgNy8zdBKtTutG/dhDeqbvXBNkuoHQ5Omg5RKSLg515/ThKdLTGCaAMOEhWTmvOc0BtWQ6mXRYdJ/7iD39Njmm39atvhDdsEx0sYP0hgkpO6cAPLzuamS2m9DcQ7eM5rGZ13b0BLh51uHjdLxZ0zT0R12vOoNnpOkcjBjlmbGLI5sMlSszcxoO1HNY0PC+bWJO6B0DrHY24+/99JEbUkxE6jjTY8n3/mpk9EfDv+2b2vQH/7pvZz76rL/FMFuDELhSnG0AwkM0zWydhlu27QfAxkSYGT8yyigl9UC+Dg0WkqY6FgRyRWxXddDOLULBHcFSG7PZhX4OtTke//zumbsvx1wdrxtHohMsUUDcrDpj+ekevwQmggUQcL83oYktT5CjOJ7MJXkoOhPcUOjbrWAg1bgkc8+BgUerhFZhpfxhitV+oqA3Lo9k7clzv4hrjGvKacsOh6vZcWs9vfUuv8dkErjE22eaYkryZ2VpCEc7XPP0OPm/cVOmO4FOMCMNPg/h8VTf5+hr4S0BIYgN9nR2f1Hcyc/WUDroaIGYQzBAt430gJ2scJ5QmzlSMZ1fcM3cUZXoyr/OMwePOPkSbF91ki8/7Nw71O1jKjGAulqAZdxV8JzYhcQ0kDYFzfQnBIHmyDDgfziki+411LUPS/sfMrI6O7PWmonOc6+Q8euAbkyMlS+gR6JtOyojh46iRrfd/DDyLjZSQusvQrHldHwAanpKHQnFNjut7bifeJXBzIligZ+Cdxmx6C3YY7dMQr0yEI1VzOQjugYNF/sHLNd3wyP2ZyutiPR/XhYpWOmaudxhHC2UGllLZDfR047wc//jaN+X4T8taehk0KZyFLjMgngPocHkoBXF/oy5XLwDVoRE1uW7UoHq5pQs4yzNOYwUCyIWSZvNVdNK9dKj3+fG0Bs1F3PfhSYpr6n2ugKjNTf7uezTQqKKkvoNN7taWIhpPzajJumOuTb4jNwDcx8ZJdPLVIG6LTZaBDfWX6A9p5nbOnc6GNyacS0HoFQEckenDmCZDX9k/J8dENPOYR5xXTywr55MyK0sBJbLRwa5bM7dCkCnqd/67a6pt+bElbeIh0lSv67xpgY84zqybqDH5ireB1lMLkcFcLq2/ZyruJt1PZHXufiinv/HfbCgC2QaSZXGuSfryKPh2NEbUR/Cdf47G8Q+2Ir71Rwx0HaFGXAGiAQWY4i2k9CGjBQPJqHffo59xgE4X14pGF6uVOV2oSKQmUsbgh4PIFcsCDN7KyMTHoXsLaff7t4rK73E7nqAdhHNaiGtZ8XJLFz8u8MyUGR0RZkezkYESYvh6x4OPkH7rHaA6HFt9/dLvy78sx79R+bAcn4S1DTdB6qlFkSnnoMfE7+c9oQ4QDZRvobzV6bjXYB26WuStUcAzh/IMg/JmG+WerfBuQ3pkDkCoT1SAnI2px3BTp3p70GDXaRvfsRwLpwXQ4YHncA4dmxtQSyetoAH9ND47RIHoTHCQ0GCPgZWZi4J+o/wROT5T0mCH8hfrh+BooeFlejH8utMbkc/CCjpp2SH6VfDmpmb0GrwTS7R50ATYoELE0IPpemRH7xOFluurR1s7nCBb4eP4B1uTMRmTMRmTMRmT8f4N38yGk2grbBz/YMv3pATkVTTb7syG460slbAWT4TmUkkzIjMXldkGwYe2LMxUT+Y169oEW3sDtf9HsloGoD0ICe98RE6kFDG50QBiga6ZPztck2PyLczM0nFFWUg4JexOSQ1y53jdySuj719+DiU38NjYsU+PvF4h3MuGkgPVmmtcS5SE1+D7s6/JMU3O78CCZBkSHOzsY5doG/eNCCbnlaPXtKWZ9c5A0cqrHW3XTyTccjKRLPIVibqU4Au4B+VuqqN3irhPKLUMUuDFoOOrPad/zy7XOjrIWN7ms2XmIj29CLpCgVRzrrN7mNeQzxu1/g7u6Prw355WO1kimF/aVRHWZk7vOzllXXS58vzMzPKoEFCP7NkdLZl/ZF5LbuzuO4D+GfmI7E5kc0nVoMsHugjLw2xC4rM7C9HUoIYdNvWw5MwOSIoCOx2Q5/F545t/398xibVCx/EPtjwTG4MoiM3k5pBrQ2kHkoDZVRPk7L6IYOubvgqqsBzDkhgXNwZjn5rVrjCe02FLPz8oGJLvxwbCkl69qZvDqRManFGM08xsLeMSh8P+pgZ+0RR4bbRJYan26cPTcpzB4lyHZo34iplZ4Zq+XlY5KIcvweNh32Wo8r4wmCFR+nl4J65C72gaztArSWzqY/q/uXj/ybZyfZZzOm/783oN2aixD6Nd+s+ZuZsuN+bvm9OA89dvaemUZO4MZUugcu/BiYCljnH3kcHWITSv2I086LvznBtz1vQ3M2g9DymIUixcEDSOjZ1yGKVVvY90LqBDRH0aPLquqx04OjoQYWa3tJnZm10NxG+3NYFjsMQElMETG5FoXH2ARKMSQ+KB7mbSRZ5IK5+KwRqtsvgsBXVkkqPJ0ib/JpVGJ+wh5haWGAm2vg0U5P+8jeMfbJlv/kh9PrOpM7S2pjOEsgYc5DMw8FlIuXwlBgoM2LjY0qqCAnzMuqiP9IWKuhGcmNJNmHwCl/SrC1kppee/ntBMedrZDNys7pGMom3UlOImXIBGE/kNrxyqwCeRrKfmNDP+2vaanlBM7wF1tLhYkfNbvKb3ff9RDWyogG/mLrb7Aw1OqB32dFWDnyq6mSJodCCCGoSyjI5bQCwLSb0H1IPiIHeQEiBBxg/khTnaXJgH+9hgaMNE43iHIE8+5AacC4qcB+F6TfkEkTmdGHQ6MHODGTao0B/yEfCb+B3kUHENIvfnYA/BkgJXzvkQifvCoWYabKhhN/PLDdgxmCt7QII5gyd2bLKjmwgoNeBoo/R6S9cLooVEth7DPXgdvLmrTe2O5rNNHq2ZK9xKOy4GW2wqGkzrfc3dRCIx8vKRBD4Tna3QcfyDLd8Tm4Pq2fCyIcvOhH6pB8OslZYlZm4mymyZhPVHs9qVRj0knhM7usYZENOKgsNBH4i0JYhw6DUJugaUOdjoQY4CwRRtk7II4C5AR4eDGxBlCLxOeJmwFgNED8CyNROOmMSi7jxjNvwGDH3nEGwtA6mq9PT95aHeF6JEJGJzQyJBnhYn7AAzlNx436kxV6u7wd6z1TU5/njxqhwzsEjDL46oLBOXSAuICMqGrUWWESHhUQqXdqjF9R7y+Y8GbDgMKIlkU9akm3lTPxO/kfpsHBRi3SpBdw8OEc+0FQU+n1YqxGZD158ignKiUpWee9+J+LMkfn1fA39KOTw0E+4nyUGBXwpDFyF/cSGlHeN8eh0B4oaeP2VUKMdj5t5nOj7QMoiLSqzFREIPR6fFUYQ9E2QrfBz/YCvimz+64KL1O9pE2RCbZBPwMcsGLLkF8RXGDZZjvlxWWYMni6pzw+/8yqGmqlzYmOlyIYrj9RTLiMjaaCdEpXNq2tw95/DrQnV0fgc3WQo//s7NR+T4wox2ZLVQ+iSCwdUVibHDh5h/RgOjWz+oCycRFzM3k72JUsqZpCIcHcyL75t+VY7/7/LH5fiprOpy8b5wU3wopxvM728ogkGeXSSnxyyDPgy+4usBq++H8oo4JhBEsyus0dDAhJxJonG1DSDXGkc44rPjWuQdfhIQC6JMK3Gdd2Yu0ts0nYvXGyoXs1vUTZcyBUSieB9OwPXi6/vqTXWlqSU9cryI+qRi40VLRwfdG8zMquBULiQV2XpsUfmGRNtv1fTZ+KHlV+T4S+0Lcrzd1oDyyqYGOvMz+vxuTOk16CZVBoXJG7sjGWMHyd9UILFxgI5Loqb1lM6TJi4rLcVGwbcHLrPl24SzNWYc/2DLMykZxcpjyoTM0qALRJkDBl8sGZi5ZUIu4GXwPL5nRjlYRMZY5msgiyLhtdbVh3YOSuYc/D4u5gc7+numLwDi77sKn6l4+GfynMcZuRIlOjetPJebhxrIDMjdAaE9VYbnHpJMKgBsfQLaEFjdGLSbuUHy1Y5m27wGTcgcnE9ocHQGpQ4iJgXMRTY2ULGeHC0q0A87utrTAJnzOmjB51y/09VN9KGEbroLMyiNAjWh8veVeXgfQpvI8HgWr+hx9Ww4iZlBgEt6dncc8j75N/zMMsrL1zvzcnwppaVU8olomjy7iMAC9l70FaT4Jv0pWVqlvlui4CYaDJIZYK7X9XliWXE1DycPJBIsM96pY+629Dc8VEKZsK6o8Xdl1J2Bg6VTXgNa8Zi5kj5Ejm8C3RtXlcPWI00+D1pB/q434iTaChvHP9gamtmIRUe/CH5DTTcQZv83YJjKRYOLMdELM7Ov1ZV7Q6FEQtA32vqdSwndcKi6TZ+wi1O6EHFxvFbThY4lOwZbj+V1cX9hRsUws0TaapplmplNFcOFVxl80bqig9LJxYwGHm/AuJaddz5FTamzVaFBMRsp9P2s5IwR8TYzNzu+kNMFn5squXV5XOd/tf9JOf50QZEvoonxMUbUh51wjld8QCAETAAAIABJREFUBz6CuAgUxwxCQEh0fjyjCEIVASMvK0vwDPBSuyj7F/SYOlqVC0BMb+vr8Uh4RxgDnTMBNi1vBpTVRschEA4SzF9BIPAoxGep2/dQWgNW6uJxEIXZRaMDy5hM3thAEzQcXihK2OTi7YCTRdI/g3bHSxHfF8uGi1G/UdFn70ZJ1+AaYCQmLuQn3tmHv5eZPVnSCkWzBxFi2GPRY5YawfR3lTLiESjIB+j5TsbIOP7BlplsrDQYZiLKxfWrFS3p0fOKgVKCveY2vguNhHjKIMyCy5MFr2WrokjTPAyI2alzekq7ke6AP+VYWaC0Q84WS6cvlFeM40PZG3JMFIdBKjeIqz0tA3xn+poc/4Y9KcdExjoVeLHl9PO7RXw/yobkdLF7keWooA1up6f3qQZjagpilrvhHZy0/2GHldOYgXNikEwey1ZNz3dwUuc+A43TSU0Cvupr+crMbDZGFFS/g4EGbZ4MXO+DDpDnGTzQOGye098c29Xf0NI9122ASes1p2n7boBq/usdTU5mcA1oys7mEZYuiRwTJfownjVew2FWz7Hc1ms4k9R5mI3rNbtV1vWKXad8ts3coLiGbuJpzH1SHW5V9Tt/b11L3pReYHCXzqCEh3mTRKn0CmRMSGNgMtjvo8mg5DZKsSpycUqTrdcO9Du7sEUboqlnkATVYlRB/ki6ESfIVtg4/sFWxMwS9x/+SA1E6THzgx5Y5NlwMd4fuhtkCZ0sXAiy2ATXWxr8sNvvQkK5MWm0v1MLKIvFkFklz6fhQ6kYkH0PujpESGjSauaWRpooAzaiekyLosYaShVjyjscvRkqyuthDISI5mL4xCAtxZEQCPiby1Xdyb9zWtvLb7Y0m2YXahmBCG1gnHNEAMtsfJx6exsK8MMGPD3HNIdQvsPMTTzOJHXDIZJcB2drP6fP135Dr0kM0i49qhYESHLIy5nw+07C/K2OBjrPR11ki8ETr9tqUq/bFnT43oQP4KmMBm/jBhsjOBpoHiGiyiA8GoWaOxsvYmztdTWk/vu5/yTH7Mzd7mhHNTmcs7Ag22no3/P9tCyjuwKbRajbR92sRxd0X3hlRx0tggYpJ1NxdHkn9bpuQPfOiKbTB5Q81Ac5JpytseP4B1uYBIMZnfB+FeWmMd5nRCMczZsAZIswPwnr9OEap6tFzgf9HJl1sUzIDaOPbJyWKgy2uLgSzcvGXTL8HnY9LugO/yfjLthyjgNdmGjWW8Ym7GyyWKgoAUKj6T69Egmg4OODSmgFGIyTk8USGY+/2tDy7LMHaub715b/VI6JdNGqisTrQ0g9JBHEdz0Nntjuzq47ClGauXOX6NgBykML0/oZ9Om8UddgxwMCSdFSv//2aICZ26XK38hn88VDRXGDbFq4UbP7mAHn6w1FOPp4fm82w5GvKvWbaOaNe5AGCszzJeG919PjDku7jo6Ki+osojt5q++W3UbHYVXnBc+ZiUStqtfg8TkNjohU8Xnd7oRri3ENZBmRwZyZ2WJS6SAv1dwKgHzmPlBdgqY4h1T5/jmMsYZ8H4Y/kX4YM45/sMXRxuILjyxHeRgdYSSTcsNiV52ZWQMoDoMdKnm/WdWS2VJKH1JuopzihMShoWiLINBSpmAPZQpyNthpxw10p+kuVDTfJS+E6B81ZjYRAJLftALBzxd7mv17GRjVruvnk4PF28i2awIYACMCgy1qtPE9hwjkl9N63+l5SVLwqy1dvJcTipiw1MFA4omi8mZuVHRTj2T0/GmszfJ20KAcBZs97rT0PvMaZbCJMTlikNyZ0bkda+rrmS0EV+jwGicMy/Fc+YTzb0sZvW+7EAn972afluMXtvU+8nk7QNmPOnhX2/psMLkbNzgP5zHPhkjOEkmWEd25zyC0gXX1ubomDrcprQC+4e6hrh90K5id0XIv1wcO3ueXKrp+EPmimTcxJTZambn0kR+Y1o5KGlHbPL5jE+LUiOfqI/Jm5HM9iDGRfggfxz/YGnrmNe4/SE53EhZrWtusd3TxDxKrGx0k+JqZ7XU0K2OwxQCPfIVn9nUhejyj7fNLWV3MX9vRzHgmp4sxxS+JbDF4Io+Gwq9UQs4lXGSLrd+bsBg6m9FuwngiXDx2HTyzjZZ+Hsmmt7t6ziwXRam7ldPXkyBWc3V1EJKAlcchc+OPWH5lUMxsmsgXy08MhuLx8E5bvr+Y1nlaqeg8XqYNDZ0LOu6zwN8wF9X7xN9EVJaoC5NpSnbwNlDyo4umUnL1GCQwkJhKaLBYDfjNRONc5Fp/U3VXA4lzZ7QZhNw7bvwcJLDzHrDER8I+g3529iag2s9n1cwtid/oaWn0jZquWWVoTqUQ0PEa0NXisXlFsuhQwYoE5XduJjTRuAnO2CfmVWYlgWCQ3F4zV4rF0V+Ezp1PgV7uXYSqj7CKaGYTZGvMOP7BVtQ3Pz+ymNFWATpbtOvZgV4LHwgGGiyLmI33U4vGoPjc1M88C1kDKk4zuLo0D72jXX2dmzwXYwaYRJ1IkL/V01LOmbyiWGauqCBRGTYa8Ll12+X1Pp3KKOmfQoxpWF+00SHmIFnwRhy4GoUyCICwlGvmIoScB9yEWcImYnH5QBHQiKfXeHEVwRoWb84jbpKcFwwgGSS80lFEplwNJ/ibudw7ds6O4+JxdKfCUZzOHAKDQzz/QCjdEj50+RAgz6ZdWRXKVZCKwM/89GNqWcSAj/OEXaDskA4K/OX9CFx2ahrsPTKFALOkgROR8SBki002r7RUZZ7rajahz0ajrQ9gvQY6B2gHrBbwPk7HwuVviB6uQBaFyeNUWoPuoCYB3hdKtXDN8CG1EkWiMP0qEM+L998/Tj9uMh78OP7BlmkC4GNT5SbJ2v9KWrN3yiyQ/BoUbHEw2OGobmiAt0HF9mk9aQoCMtNdKGhWx7boAZCtP93ULrKPLiiRm4sz+VaVbniru5m7GLKkRRSGHZINRD80KL4wpR1eL3S1LJBWBN8OVZ3DQaq45zvHeJKIyJiZZQGbEGFM5vVLqSi/SRgGY3tbX28u6zUi16aOmhnvwSIQ0/2aXmN24lEhO5dxs3vOfQbRfL4OoULfKaFDq4vrnECgARHTCGgELCv2s0A0gaQFcbLk8wJKdhVIajAZ4XW8kNVkibIDbnez/obXgRL10dAyTpS0dojnF5VRojgtEOyDvFFpKca53IS/YrWpv9n5TvzmAuYaA1CuUVxPKMT86JS6eNxGeZtlzm0EqKWk27xC+ser9fBGh0gaiQdkihoLenyk0g/+JMAbN45/sDU081sjET94JywrMpsnqsNF4ZmKlvjYNm3mZm3MsoroSiks62K1mNVjkk1ZBiBkv47uIXKyaI0xndbzof1Gpa5ZH33FPj6lsgxmZr+x+YQcU6+MTQT1fT2OXNAneR+l2RSy/R5IvS20vw8ewgkSSUMjHRrGXE4EFrd6QCce7zsJ5WswIObi/KUtlSFh9t+BLQtLcsmk3mcaDO91dMOgNRWRMRK9+fvySZfDxWRkfwBCPPhNVweK1vUZlG/DUBgipZWHw3W0WnPQVwMgyd/UwZJJCQGen5nZiawmbLRyYQcmxWZ5DrTv4uuNAEHN0eEIs2L9iMT1WWv02d2s93W/Al2ugLa0CFAd2vWwCeDinDYNEKluIBnrIqDk3O9EwzXiWNKjZdE6zvfajqL5c1PhSJmZ2SHWOFIfmAT74FhG4H7idNoedRVvUkYMHcc/2IKCvEdCfIzlK3R4IBMvwxj3zBQytpaLPrR64WgXF8scTJgZrG119Ds+UdLghoJ/u2iLvpHXhYJil9ww6JkXw/sp63Ab8hhmZh+duSHHVICnKXIkFc4D4YZBtXMu3u2KZsq5A3QToaeACvI9VMQy2zqPWnOQz9hz/SfjZ/U3cANaQND6XEchhYUMOi5R6uBSx2vMpoMW0EFaolBRnhwSbvrUBQvSGtvshXedXT3UwKNU0ACSiUX8AtC3OZSHIVeB6o/18+hKa4dDAuMI80GcrTM5DaJbCDDfbCkS9emiitNSooPnwAC2DrHM1gG6ExFg0paJZHOaPhcTrkvG6AgyQL/W1RI4qRW5pP5GBowswZ9bVOT6JrS/dtBNSDSPZtuUnngypbzYr3qa6ExjXhLdaw/cNf+bFX2eEyiZ0zaNQS+BgUEawq0jOfaRoEyTWCt0HP9gazImYzImYzImYzLe1zERNQ0f3x7B1khWQ383apeQTEohumV4tS2mNLMOUk8/bGimR/7AqYRmvjQk3alr1kXH+8dzylf4jXUt2a3k9ZwL6IbMILNNo72eWVoBXWqXmyro95mpl42DHY1/VlNe2Jt7imgM27BRGoNsFWFIfPtAEZRISrPIxilwd6o4boDr4yBf4PoQyIq7qSU954gIloFsvdYKbz+nLhZV81n+YYcny83kmVXx+fx73gMeV1ouyrMPyQ+iMszuo5ibJaAqGXSpNfvhpHwqzDvcFhzTDLwK5XPSBoL0lfpAoijlQj7QDAjo5NKxsYLXsIrrPjWvZcmgTrnRseUDsQSCyiYAlpdvthQ5NzOrYS4SuSL6TzSNXoQnslrXv7qj68cGvBZJeKcF2q2unvNn8i/JMV09yM2jF2JQY8eZvK7zX9tek2MiwQNYjHlAtlL6cdYa8QV9l4ol782YBFuh4/gHW56pgGU7fBYSbiaEP240um7bGonJBz3YY2R18eKm2sug/R3w8yaUhs8W0b0I0jFJvnzIWbaMAZOm7+DptEL67FIzM8tHdIGnqCA7KF/satDK+8ByDbXFouiQ8tEEQPVlUm0ozt7Ttd/RY6JkQDrvzht2nZFQfqWt5aTLdS29FLFJfnxW28+fKSt/kOXgPuYhS+QHKJHTAoXzmIM8mfKeq7d2p6Bz9ZV19f2bAfeFQfRCElpjWfARI3rsgzAPupTFDimwpocUnmUQwK7afs/lbFEhnp23v3/zkv6BXhKbhzzGhqfBGT+Pwc/QCw+Kt+p6n05O6/lyPaD8DZ+153bchHMpr7/h2rYGR6tz+p00nmbCx+CH9jgsN1/F9z1eUk05cnPJO5tJ6H1mWMFnIyjYYjci5zaf13RJf2NrV/cNrkkScx8BQX7ijRg+vi2CLW90YwXJMAJ9JZLFaUUzBTd6PkD1lktOpRI3vcwiJejmINhiFsUFnwjHTEAnzOh4dv+kfj8CTH4/FaQrV5Rf1Typv/nllivsSPSO3UJnc3r8vK+t4Qy2ZtMaCNyu6iZLQ3EmXZlbULBfRdcZutwGUJCPAwlDDGAD8NrM3GDkuT29TmsF5f8RWWKX6dmUkoh3c7ppjgu2iJjE4uHo4TBAzmJ0UPA3UwjoRgTyszKrmyo12jg3yUM7l9dA/0peA9heHV1oFT1HdiMOUuHK4kFilaMjSIePQS3XFH7Hel+DKY45EOi3e+FdqlRTXzmp15zNKvwNHZDTx8lxlLcLzr+twE1gHs4ARNOZWDgBHtbdk3mVfnmzQlmUcIV4ooufyL4pxyVYpjnSLrgmNJk2M/sG1l0GhByOzRIShw4kObLr998/puH9PR+e+ZMy4phx/IOtoZnfHZnUIF7HaImAwU2eDwhbw2nKamZWAOGdKtjUWxmXPReR1W23whdDepvNJ1GuOlRE5WRWFy6STZMn9O8phvmFbTWJNTP70aXn5ZgbUBJoGKUfGBj86MI35fj/7X1MjqlVFkvq57XnIRGAIJzdhpR24KZc19jQ8u9AtZuedC/vKqQRRTNHCojmQ0ltT7+aAAkZgUkiRSFHDb6IaNS7+ve0fWFpl+eXTbndiFTRb0Mg97sXdJP7o82Lctzq6zV6snRHjp1AgA0xaWxYKP9Ga+ElO2pc8flfggDo3c/ohB4zwfvSoSJdy0kNjmjvs4/uDae0is7eh9IqFfOf5fWavwwNrMv7GrhkYEzNa56fdTuyd5t6jm3M/TkkT1/fUJT24XkVduVvJoF+nB/kdhM6fFiTGfCyW/FMEfId+D3UazQz+/DsbTlmmf8O5SQo+garqUEWEjxL97/zKBTkJ2XE8HH8g62ImTeSETB775Z0w6GaOr0OqRjNjClIQLAAuJgQ+I2uLmafnn1DjvnQ8SHlYKb6zOXTcvxdly7LMbO0HIKnVkwD0gg2sKBWb44d/AaWER2h1RvocHxY0bQzCd1wuODPZMPRvf6zugE1lxEcYa0kAjpM4L6jdBM0DyhmuZDToJXZ8J09XXypdzaN0mwmGm6Xw/ISA4k7FUVIFouuXtLoYFmU8y5ow0viPUSKzia1nPzliHaBnQRXZw8cMFtHJ9ys/kaWFT2U/eI12P9QVgF1yLMZRdaoiWXmCmhSkJdrDhHQZyuKiKSm9VnZauuzdRod0lWYebPMn4/oenQ6qb/poRl4N+5rUM8uVSaXZgFlfgcx1NdPlvQ+0wLMQarwOqsBCcieXId0A7sbWeLnPJhP6bPh+5oEbFzXsqWZG2zROYTlWo/diQ3dqxIQ5B1dth+8N6JNgq0x48iCLc/zTpjZr5nZgt2t+H7W9/1/7nne3zOznzazt2b/3/F9//P3/uZvm9lfN7OBmf1N3/f/YOwX+WY2shj0akCykOmOg3bHDVrZmJllYrrguxpT4aReBhLlrgYKNyuaha3ldLGdmtHFvoK/J7pQjIUHlJQQ4EK0eeiWEfYLIPknwnVpUme1zPDHeyqMlZ/XQOMvzKvA0jcOdINi8HVzXoO31J7e98aaLs6xCjgZCLaS+Hsa5ZqZfe2KBr3zc/obGfSy/PxxiEh1gEwxeOJ9iYKnVgRPheK4Vw90w+hVuGnr5y+hWeQVXxsnzALKx+AXLsYUGaKunbPJtsALW8HcBWJJL1SvjmQLNk1xIFcs7dKC5XbbLQHOoPGBMgPzCLp3oXd240A/k5zOdZDBaSXzja4+C9TZowvGiTh8TIG050BW76RRmg1AdckzrXWAumJN5H3uoHmDc5PaX0xwD9E0QAmgcfI6p9I6T9fATp/JKhrYLroVEzZKfCiv8hKUPRniN/sz+ht7aLTyRtaPoxA1nXC2wsdRIlt9M/sF3/ef8zwvb2bf8DzvD++99s983/8no2/2PO9hM/sJM3vEzJbN7Iue513wfWrC6/C6nsXv3J+UJEL3ZnQR6IH83TOd8AyUxpFTzdzSCQcX6O8pvi7H+zFd7Bh81aeoWaWfl8XiuAZT6H34kJ0DukBbl0GNIq36+4JQHSq+Z4Fzc9NqrutvPn9KLUy+UV+TY5L0SepfACJyLakkXkecHYFJATqtlUuA9OG16JiBm9nja0rK5VziprlY1GuyFtff+Mu3f1iOf3ReS6tUJu/BH5LBGa/ZELcxVsBij81jFcbX1VfdrrTZUy/KMbk3RDgvlPQ3F5AIXOvrdzh+cqwq7oUbkBOkdQJKiK7yGv7s/JeMowKaAJFgJmNEaVrw/fvKKxfkOFXU4GvlhN4HD3P5WktRm5cPFJX5+dNflONPzl6V46f3NWnYRGByEHV1tnJTeo6fWNSAkNfxoZweX29qIHIAl4pyWxPWafBWNyMaYHZwn5lwMqGt9nW9+KFp7VZkMDlbclFhNkrQhJ3dwNmsPv/VTSQWnOojp3AUptATzlb4OLJgy/f9TTPbvPffNc/zXjMzt43l/vgRM/v3vu93zOy653lXzOwjZvZ06PfEfesu3l/Ac2/AwmQKxrQdmCxDoI9ifFyMW3W3xFcY413GssI4z7rHsspToaL8FBTpSS5lhkVEhZk4OWVR2MpwgyTyZeYquo8bxZOKcHBjpwo3x0dKN+SYCvXDJAUDUQZsoingEhCPGsuK+v0MXMzMLu/qJvfUima2LK3Qdy8L3sgnp3UTvIP29VVYpAypQI1rStSpchXitDP6Or0bFyAUmb+k3D8zd1MlekeJkOtVPYeTC/qZREB8/MYoJTiW9JwHFc4jlGYQGJEvmUCiMReQWL2OSP7/a+/Mg+M+z/v+fYHFYoHFAosbJEgJpETLlEiJomQ5jhLHqa3ITtI0SePJ1aTTTsaZNm6dyXR6pNPWnSQzaTJ1m7aetI6dTtI4yeSwE0/iRL7kuE6sk5ZNUSIpiSd44Ab2wF4A3v4BqNrn8y4XcixgSeD9znisHwHs/o7397zP8X2+T/CZSXtOLJl1d9v7PjZqsypshNiLOYTD/c2HfWfB6axiXbB7mVI0KcwdvWvIlh0bgTbpkT4rF3Md4ren12yWdBnvP3lkXMusWBzZa7O4HL7Nz+f4nSICGcrxNAo4+b5xbyHvq1xGV3gfSuIoD9d6o/TDzYybgrPlnJuQdL+kJyU9LOn9zrmflPSM1rNfC1p3xJ6o+7NJNXfOXkNdtFu4G3wC6G75efuSXa5B2RwvEblHvhTeUjo/m81Xu1C2m+aRtM2IsNRyHcOy+X2XF63heqDfbvKcB8khqlQ6T3Y2767K9IQK0+xUY3aODuXiNEn5zbODn7h8zBx/4OAXzPETtTvMcXvJGt/VLBodLtl1UBmEyv9FKMbvt8ck3ErSw/ttNE9ydRobxj19dkPgHMGnlibM8XuHn7HnBA8wAZ0sNn8cSVvC/dJb7Gbw5Ek7QJKbB530RhtOH0YUkff1csVuqhwAzBJ3AVIrgeo2R9NAu4izEgm+C3xm1LiaaqAc/uWczUQ9mrVZkUaOeT0ozcLjUZRve8Hl40DwtX57T9iAw2t6IH3BHP9V0q6D3LxdJ2zAkUJ+0vf024aZN2NU1cxKSEWox2LZfie5fzPt1iH84TtOmGPqJ35l3ur+MQBmx/fZsl2nzFI3KqUyKD0DfULq5LGjuoB5kSzpGG3AbS/p+W13tpxz75X0QUmHJT3kvX8GP79N0guSPvhqpcw5925JvyapXdJHvfe/vF3n23JnyznXI+mPJf2s9z7nnPt1Sb+g9YT+L0j6z5L+8Tf4me+T9D5Jah/MGoHJdhBkV6G75Qbshvf5acsVGkIEwzLi0cPWkZGk0Q5rDC9VrAP3/Lx96Y4M2M4bbooktNJxoT4TBQFHOppr0jC7UPaYKwhCLzt1uhp0ZNJJ3WzsCYUYucnNgkfyXXtRegUv5kIhLGnVw5Xs+ZT32mtoQ6arluGcMrsOWBqSpHt7bEaSw3iHIRY51mkdDWYY51A64T1lGZHSDeTmFNvt7y9l7IZ2Imt5KSRSU0uNHWdSWDrh2n4JGYyvXrLyGO+635aTiTXMk6ODKXQfriITlpxpvi4ZFCzhXfnisu2elKRxdBMyo/EtvTZDyRLZ5JoNljh+63i/JV4zOOJAcNIaFlAy47qZgGzLfmpgIVgbToYlNNpJOldV39ymUID3YJ99bnwX7uuzASrXKgdPX+62NpnzYKfBDby4bH+f97QRdYRi1l+ds7kCOtEVNMxQusXB7ifrzHrbdhPkvVqR2Xpe0g9K+l83+PmHJP3FqwfOuXZJH5b0iNaTNU875z7lvX/hBn//hqKlzpZzrkPrjtbHvfefkCTv/VTdz39D0p9tHF6RnT+/b+PfAnjvPyLpI5LUObHPq67jaBXGmByNrm67SZKv8HzeqnrT+DYaRM1uJG6ye9JwfmB4vrhoHb4fH7JlgqN9NiNxOGWPP99hpRjorDEDcaZiORyM8qpoMqAhHewKOwE5KJqljKBMiBQ5S1YVZMpOLtnnsrfLbkiLFczMQznJo5zkqvaaHdquoSOrtU5wttpDY8t1QOPLLMrBpN0g6EByRh2zsARn3gXDd+HcMbuwgrLG3oRdhxycTUkDScq22bXBaP/L8zZr8o47rCwBN8kDvbasyKHIqxhQ7AKeC8qOVQqAolsR7zvnkFImRZJGOq3zwef81m5rY052g2yNd4WSHAzmFtes85THuxQMGKdGFJytLJzoB/psV+yTp21WaOBgaAPpZC9i7f9V0do4cjj7ka3nc6Eq/4NpS7JkIJBEXmh/yq6j0qp1+mlv0uj8navYdcBMlxTKmDAbRxX9YLYo9iomRNuq/oa/uy3Y5mya9/5FSXJ8qdf/7fslnZdUvxgfkvSy9/7cxu/8vtbpSTvb2XLrd+hjkl703n+o7t/3bPC5JOkHtO69StKnJP2uc+5DWifIH5L01KZf1ObV1vWa0V9DGYEkQy7wPhgJRixBS3BnGNWxvMIsD1PO1Fv51iFrOC6xtIk3awJRI/kL3OCYrj4PAi0/f2jMGvcyDOdt3XYTlsIyAgmosxhhz1IkjW/w+TC+JOSzm2mljHXAsU0YSOwTyMyhgZSbdiOOGp3cu1K2TMi1dAcI8cyakGfCDipuUCWUe7gpH5T9fWadEp3NS7nPLNtNl11rUrj26PCxK42BB98lIhgpVLEb2OifWMfj+rfav1/pap6BDTiacIS4KUth5vhKBRpOaXsP7kjZ505pB9oPcuWYOUsmIVaLd5H255klq3H1nh7Lp9qL76OW2aFOm5mXpAE8t8fyR83xK8vW5hzN2CwwR13RYSX2J8AfBLfuKjKSh9AURHs02m2/n3prHGk00h3uA8ch/fB1jHbjQHByaR1s1BrG95RG63S2WrCz3ywE+Y1q2b/SegbrX9T9aFxS/UOYlPTW7TqvVma2Hpb0E5JOOudeLeD/vKQfdc4d07pvfkHST0uS9/6Uc+4PtO6Frkj6mc06ESVJ3mmtLv2anEW34f7mas5lqFkyymTtnx1ZUmhouOFwjhe5OxzvM9Vuf5+b9jAcRI6iqOGa0ij7ZTA7kdF6As4ZRRC7Gug9jaMT58tlm8HIY+bcwqS9xuxdIKiCq8NMEh3E5Yr9/WTanuNqylqyNRj39iI4XhA13cT2r38GfmkiYaPpu5PW4BOUCOEmThVsll67Buy6+Ou85RKle8PnVg/ynzjbMZhz2EBtnSXqJJyXS3nImCBzlXb2HJnROLFq1yK7E68+CocRGcx2lJMDZ2uTzmLKJEjSwbQNfhbxPrM8/JYuG1zRBp0uYMQR7AsbJdghTUdhlTMtEQgtIdNFB3l01D4DBhWSlETa4wVcA5EFt+9kzT4BqW/YAAAgAElEQVRXvu/UBlxm0xC6gy/X7D1iU8HbeqzMSn7liDlm5oprnUGDFL6PnDHJxgjqr7VjKkUNAeBa/fF2Sz/87TDknKvnWX1koyr1/+Gc+5ykUENG+rfe+z+9wed+UOuKBoVGWa9WoZXdiF9W4yXx6SZ/80uSfukb+iLn1VYnZFrd21yMMoE5X8tQ4aazxeh/DBGVJGVgnOigjaGMeA3jMRgBDY7aNP2htN2kizDOLMFNVm1mjCNS6AySwMvB2sSxdMhbazQvsR40+KMTdpOlAb8zazewpy5ZLaE3HbIdUQf67eedvGzLjkTXFbvJlvbBeNKW4qVmQ4AUdqEFEgBw9M+t2I37VM5uUCTh01j3J0FGh/GeLNsM6pMJ20QwhLEwbXg3zlUsN3ASGZtgpImkL+RsSfu2TvtcKmjBf2HWTjfoBpfuPqy1L3RaB3KFZUR2J8K5YkaAkwuC5hE8M+qCSZtnw06WLS/tu3tOmeP9HXgXMAaJDuipgl3bQxlrL5idryLDSb7hhZqVXeA9YIMNdbskaQbDrTkCjHaVNmpfl3WGSJU4U7bvxmYjj9jxPZywNnis3TqQx3rsOrtUsc4adcPYnShJp5aaO5h8nwuuecd1AgGgqeK3wsf4xjNbs977B5t/pH/X3+JM3irph5xzvyIpK2nNOVeW9KxeJxVpK9BygvyWwztLmsWm7jkCAc4XHZUER5TAkbotEWa2CBrffnBvzi3YF7kMg34qb1/at2GOF8s5jM4noeu1WYdlBYaRg2fpnJF4LYXRO3Ehb6+5ttq8fMSMxvigPd5sfttaDpsiokSKWxI0dBQ5ZYlPCrsJn6vYaJ0OKTMUl3L2uXWj7DC1ZJ0tziEkN28YwrLsyKJ8BvlPdK6I1+N4PLFoNZv4/g2n7aZV5oghOiJQL19atI4EB5JzlQTlYnwfs0QBZ7MBX5Hdx0uYJECeGjNbx1O2pPZSrXmzB7+PGlKUnmEw9cqS/fynU/YZHYSm3RKy0CcOTATndL1qna1XYOP4nH/n9FvM8b+7z8bgb07aUuX1FXsOTxXtWr6t09okKv2frlgH9d1p24jB0ViciNGXsvtEI/tzLGuf4yLkaE7MWHtQ5Jzds+AugKlQb4NaI2p6c5QRvfff/up/b4ikF7z3/8M5l5B0yDl3QOtO1o9I+rHtOq+d72ytOLXXCRmuZqxx5EDiYm9zbsAChqkx40LHRZJmEDnSQeMIEHJdmPWhBsynFo6b48No4Sf/4E1pa6iulZq3WefgOIxk7CY9i/HzjBqlBtky8EToCCwuWcPCTe17+r5mjmncqD3G1m3Xg/EhV2HY8BiTcxixkobkB4zbdD4sJ80hU7W0aq/xpZLNFLF8S4POLBDv4bVc8+fKchL5UZw/x89nhiboyGpQRmQphd2GKzm7th+4325Q3FRH2m32jXpLHgPFs8/Zc168H6VTNmogs811xuthMNYIJKhfLdjn9Nyg5Uw9kLpgjg+i/HxuxWaBqKo/c83es7Y9KD/hmujEMyNDG9c5Yh3MpdUw0HjsFTvvkbNPOVfzbbddMMcXKza7dgjOFodzkxf3eUyg2NdtKxAs8V9HuXscwR4HU0/02GdCh1oKZU7I72OAme6ygUPuDkyYOGnP0Sz1bfd7WiL98AOS/rukYUl/7px7znv/6I1+33u/4px7v6THtO6q/qb3/tSNfv+Nxo53tpy3E9DdUvPW7jUseBKv6SRQ0ybVwNgyaqIuFTkdV4uUM7fIVeyLfMlZw8LIluKY2UQYfZvfZ3t7tXlWinyJzy+Gg6jZ3s5omqULjtOYWbUbyDjS/Hd3Yyhz2Touh7O21HrplN1AEiVkONFdGA6qhrOIDGmxGN4zjknhpvTsrHU8yDMbwMghqtRzCDolOPJL9vvoLBXRal7iOJBNhmtz9mMjcGNfgc5dst++T3RmyPkigsaEBErgd+P9ZAYAxzlwCSnGOZ6ym3YjBzPIHLMsX7DP5ZnchDl+qWRLqX83aycFvARtskyHvYcDo7ZExvebTjbfTTpC5JwlEps7mClo81VReqSNYVaVnbxPLttsIDFftYHC1yctFWNl3K4TOoM9R+w9fDRtG9Z4D/elbEVjoRrSFJhdYxfpKUgALeSbr/VqH9ZVvYJ807/cImyzs+W9/6SkT27yOx/E8afVhKq0ldjxzlZERERERETEFuMm6Ua8WbHznS2PCehw+ZdvY+kDgoDgbM0v2yiUEU6NwxfVSGnbZnHIC2Nny8VpWybgMO3yuI2uOfvwaslmylY7UXJDOpspdeL6os3QrI3YzzsxHQr7M/ILhmtDlJAjSn7jyneY4386bhXiBxH55pM2Uu7vsGn/tS57jx0GSbPpbBWSAMxkJXMYRH1nmD2cAs/jfNHyVq5etMcdmHk3mrGlkjz0lljmSyHzxRl5LJFtNh9uFaKK5PaxPZ+z3qQGZXaKikK6gVmgp/KWxM+B5osYOCxwrDyfexHXVG2eE9jsXWFpVgrvM6kI5MIxs11J2e98PG8zx5fQhcrs+ygGXTPTzc65XDUcOVaPK8v2/Aoz9t1tnwjtB5slyrPWjnYNWZvF8Vq8zyfzyFTB7nKsGtcVFeiZefvirJVZ4dSOh7tspv6zazYzRqqHFFZJbodYbDZlKSlsPFi8au0HN++2Wt3a3W6/5ybibN2s2PHOlluTEsuvLcLyCMo/MK5MiVNEMcn2WzhSc+DhSGHL/gTEKveg7ZjidtQOSo1YZ40twkVselRXvqfXSkWcmm/eJZNBt2IpbY0CHU6KKErhhsNNieRuis/ef8Bq1HyleMgcvytjtYDGuqxxfLY8YY7dSnMOVjt0ttwqeCpwrkio5zqRpCdn7DnQqe4ZsWutMG83HM6w46Y6u2afMyVEktDJovGnI3QRhPx2lOTYfk++UqmBgjw3zXY4P0k4iJeKNtA4AgHfV4pWn2lhHly5mr3G9gI6uKivttqckzWHMiXXPvmVjcA5exeWbcn77EsoQaGkfnLYvq/kUI6nbfCVQ4kumE+Ja+zF+74E2gKf69Be+641ApMebT3NNaW4FskLvQKHlFIw5DdWMYR9vmjfLb6L1M2ivM3BpO12ZmfxVCHkbLaNYu3jXejFjMzzGNvm0ogAQYnxba10drzkt31G0C2FHe9srSWk8vBri2AtjU0QkS9Vr8nJohHIocvuTCWs1U9X4Uh0WcPSi8wWI5zeTvvz0oo1dtM5+2LzHA9mbNS4tGKjOuo1UZqC6u+ZTmuMgw3nasg1KN1hjSF5JQcQ2XKeI9XW6VBeqNlNlwTapZXm/Id+TIGZO8rdwR5Xk9+8YSOJfhlDzBMzcFYsx1d3ZSwPrafD3jM6tKdXLPeHYrfkiOVydp2kM82FZTngvFIOnS1mw3TdXvPb3mS5MeSVMSPKDIYHB0zg1q1mm28IbrG5SZwt2WfWkYVgaIPMNtfqbWkbXH21Zrv92jDonfpmpWX7eefglB++166LaVn7w2z9Cwt2XXAeJWUaKPw8nw8DTILBRwW3iZ851GGzuC/DIWU2zoPUz3WyinXhMDx7aQmipMgGnitagv6J5IQ5pn1ayoX3hHbyMvXQ2HyBbFut0lyIucHS217EMmJT7HhnS+1ea711DtRa88iTho1kdrZ2X4WeC4eLSiFhnTo0Rzut1MfhXusocA4XScA0ZOxupObTaKclZhbK1ngz8iWYeaNz1r43LKFx09wDdfM7Mzbbd2bSbgA0VNMVu+k9Nn+POV7ss8aTCtWdU8hI3oeoE4T56gAyosiYvI4mNA1Ae4dlu4IwVmWo+QbCpgB2OxEJdIAxo8FAY3AAXaezdtNOYjg4nfKurnAd8TmO3mMzBEfStvvwhWUbvASDoLG2HXZxD5VtIRBxnfa5rqFczMBls8CE71ajc2ZDCZ2rtQKc1BQdOvvjZI+9zyytPr9iM2HsoGYm644eW966Dt2/POxFDVmjRh3ZLIl1puw582/YTfxXFywhPgOawQDsMsu9DlIvBewD3VkMOEezyPmZ5qOwxrtsNjHVYO1Tm+uxSVt6vL3PdjRylilpAqsp2qzmzV9bilhG3BQ739lykuq4Ku1L9pIpYhjwXqiWnLIRF1uSz+RsBCaFAndXazYDQWfrjpTdgGicv1yxvBUKsYbdTyiBwfgXZ8CPOGw/j+KYJzEfknPHaqUwo0Fnq2+Tjsi+vuY/v7BkjR/5SU9dtu3ztw/abAL3A842DAC+U8cch+zZw0Zdacx6MEM4224dyH4M4763166Te7Bupmrg+kDclqWUzeQ4uIEVqPsDjKWso/HCWhh4UIGd94mjXr60YEVKOcNubtlmEKiT1Tllr7myJ+RUNUPgGGHhcO1Tg2r9d+xGztmD3T32O1ZSKPfCMWh7Edm1Y3Zt78E4HTqIx6Db9eaDtqGLAeSJedsluwBR4zY8QzrUktQFOZsUHPsa+H0Ukz02btf6c1csZ2t/r70HLH12jEHgFzw5ageyrDnQa/+ekw6Ivu5QRf/TlyDo22efE3leFCHWDGSJUPKuN6mvZ6LFG46Y2WqKne9srcmoRFNnyyURHaBcxDETnGg/RbG+KzaDIknp262heQEKz/elrDrx3SlrWDi64mrGbqqnajZyffqyVVN/xwErekpjSCI2yeYHu2yke27AOpg8v+7esNzEeWwpCHh2oGxAQT/yG1jyCsbxgOf28lX7XPydGEx7wRrnyjD4ESRaw59cSUPKoiOMbPMoeZG7w428FwKdD2Fg8e0Ja9Bv77TPicKNbXCmOvEMAikJZKrIZ6QjMgDtoUYbDp/7RMY6T8PgSN7VY0tidG5moSHFsiGdKwZbbhxD2a+C+4OggCV+OqxLtbBcTZ0sqpszwKuhEWEVczzbD9lzGMA6GeuwZUDO3OOcQB4nE7akz3evH5xNbrGNnC3i9ox1jkhw35e06+IvlqyjQg0qOiq85mTW2peBlH2u5Gix0aITa59BQg6yJwz+pHBo+iy4tHQwO+CQlvshUlyw62J572s2ai2Md7ce0dlqip3vbLV7k6bnrDSPclAFEU8VpRluMGcLNpOVSIYvGct65xdsVubBXpsBeEf3WXM846xDd2+PjUzPLNqS294Ba2wvFuz3PZQ5b44H++wGx1mOozTeUCYPyhLdzbk9jcBuH3YHBbwwRH21S9Zw9d9lDZvANypcsve0MornRspWCd/XB6e9ZtdVT4ddJ5I02ImOSBjXAyN2k9sHovMEMhaLiL45Ooqq+xxIzOd6Z6/NyoyhJPbMOZstZFmT3VV9neE6YNltogsbO258MLgax24ZJGGI1TrMPmSw1QEHtAYOFp07DlmnGvsPZL4uYgk7H5/THnSZroHwfm3JrtXlvHXa7+iz93243T43riOezyU4f5yC8eCADQYvLNty2IUcssxtYfbw3mHblHOo22bvj3dfMMfTK7Zk/eCwbZD57DnbLXh8xAaozN6Tn8jAgNMTyJO9CoHg6/MQDEaVkTZSajDmCKVO0jNYRiQ4r7Wexrb9ma3tFzW91bDjnS3nbBfVCkmGKA9xE+ewXYIzvRKJcJXzJSqBOHyqaFPidDzozGSSjGyt4SDnghkTdkOOdlvjTpC3NleyUSA3j3sHLZdICgUvObqGBpqEWW7SVUT7I3fba+I1M3uwPAiV/rx9JnSePMuMyIi2gWdDIUhJOgJl/0sVa6H/esESpb9j2GYk6Yj85Av/0Bz/z8MfN8dFpN+Geuw6GYPz9vY+6+Sz05blrjd32esZxyZNoVop7O7tRaboJTQ6cBP8sT1PmOOufdZRySDjMXUJuyDez4AXg+CLa59lzCrH+SjE6SpERzEo/nvHTprjx+ds6bTQZYO1bpTkDnRbhzUN6gObEp4o2Xv6dM6uu0cH7Pkwy0Spmhk0DfBdlUKn+rvhlHaT2rDWvGTN95nO1V3dthzdh3U3AsX5cta+K1+asRwxljl70gjekFnnvFlJmlq2Dhr3BZYu2ZlbwtrlrOuVOr5ha8b1xG7EZtjxzpb3m0QIZfsS1brs8elKc1mEqQI6DVlnV6g3tAJn6zrGa7zYacuM35a2myB5ZIMoR72z13Z0fa1ky4pZOG/cFOlgkmNCgizBjIgk9SascWJ3YDGBElt3c3mJo7dhJFGpeUcU+VFza/YaU9fxKsC3Ko83z6hQl4tRrCSNwrnh8T1HbHTO9vILGFXDaJ8ZCq6TRrMK63Gs02ZMT1dtxpTlLW5Yrwd0zLNtdu3+yeID5vhQpnmL/bfuu2COZ8r2uc4vonyMgXIeOnvU2WrHps5OPja7PI2h0pL0K2e+yxz/8zc9bo6Pd9lMc+ewfW7Pd9tgjN2Nb0pZxyLnIf1Sse/Gs/kJc/z4Wevc3Xafda4ezVjn65WazeZTl2u8I5wPy9mCDIZmME1hBpmtHK75wX127bNh5kcH7T1l+Zrr6HCXffdqQ3adPO1sVpecMJYtWYKXpBSqHqRWnLtq6RnUxVuDXA09e9Np396CLFPMbDXFjne2tOa0WnztMsnRIrG5VrQRypfmrJ7TAQiGUuOqWgjF7NoydkPpQklratkalser1vi1jdhFvC9pz+G9g0+Z4zFsgp+F9ASRhrNFTRki22XP//qKJfyPJ0Njy5LTkzkbXQfisHBQOftstMs6dBy6/NK8NVy3gSOymLXGcmEIo2mQ2XLo9KnXbpPsSKgbgY7FIKLtRqOe6vGnuWPm+Ovz1ilnE8Lx3ovmeOaidcZemrAZF54fQc5WGZmzr1dCR4Moo0U+j02P2bRLRXvODCQe6bf6ak9C9PRrI/acXN6aPEpFUB6tjJIb1+mVqj2/ryza75ekMZQJ/2TqfnP8c/sfM8fHUva5JeEonFq2ztdEh83qfiZ/1BwnkAKhKOnIkH2XLpVsNrDYY58ZnfiepLUf3S7M6rAc+7mC5WCdK4Vc13owe3eg017z/g778wF8Hx2bYKA55k2m0s3L16cL9t1hVyybTdb/zT4HcuEG+q094FD2hUX73KpjYfa8pYjOVlPsfGdLMhpJKZRCKotIgQ+B7I1NnHPB+uB4LFbC4b988dpAwp9C/f/2Efviny7aDMM0Bkt/N4Yyz0BYlR1SV+AcZSHD8MyCjeJ6UbakcOOLZbvpf2eP3RDXv9NuSoy2E846R+RMsPz0nn4bbX+l0HxW2t0Zyxk5D56JZ1kQm3D3NXD7BuAk9HK4b5jhXAP/j44FS6ucB0n5CpJ8T87ZLCx5Kj17bLn4vz39TnP83vvsuriny2a6SkXoO1VshoMbJucIStLFqn3OdGZOzDZ32Fi24yZ5KoFAAVIQvS/b46XDyDqDize70lyjiqKqHAIthYrtzCSfRDaMztZRZBypIccsDUFRY2baiyiB0cE90TNhjvciI8tgrRH1ggPEv4hSKXX1jo/aa+5D6ZX3gJmrl2pYZwgM+H7SWRtPQMqh2+4DfBeHOu27tVQLh3GTp9Zo2kA9Ls5ZG5XIQswa1IXEQt37ttKCOmKUfmiKne9sORnxtyA6H7ALmJoxjFh4zK6z9r7wBaJxYwt+B/SPOJ5nz4SNPKfL1qB/sc3qtTyfs84PdbuoaM+s05W8NYxtvdYRmYZzeLHfEmYvd9pjKdSA4j1ZAqeL7eo1yBiQBHwY/CESYKnSTz21TpQR0cin5bHmGdE1OGtcJ5J0smwdARr8cyV0eXbYDea5GftcV3APK1hXZyFDUirZTfXuCXvPnpq1TvbAmL2H5GydQlctS0PzpbAzj5lidoFR2fveUXuOL2PochIaVBwZlJy196hwu31OiRycrUG7afOZ7MfYqWvg4VDJXJLSyPzwbz5RspmuwqhdfEe6bMmMGUiW9c6DwE6l/yuz1rHhZICLM9bZ+pysfXl01AZTbAZ5ohBm9yaX7XdyXE6gw4VzJg9scc2ukzzKkJ9fRPciAg9qCT7v7Lt5BIHGRIflwf7Q0NPm+KmivWZerxRmsh7IWKf6Cv4m0NWqQq5iqTn1YVvhJR8V5Jti5ztba5LqOpJqeKnZ0p/psRvcNEp8JEIOpq3hW2sQUdCQ9IJcOb8IvhFeGhrnqwuQfuiwG9CBfhvts7w0XbHXxAirF6MuqJrNuYWPv2I30IX9YVT3lqw1LJzrV8AxM1svVWx2T6CNMTLdC7I2tYNmF8C1G0L9CJyHBJTFmQHpugKn/O6QH/X04oQ55hgV4gQ0pOav2+fe3t28jHB5wRrvNJ7bAjY8ymdcxLgQKsIvVO3fFyFt0YgkvFixf3P5gnVmMqM2Q0Dn6cyyXQfXqvaevFKwGYfVboxhQvm3OmyfY1uXvafPY5RV55D9eQXCtPkGWmSUCaBTmoeD9qkrtgz4uQ47OuBdI6fNMZ/TImZasuttMGvv8TzUztcm7d+fR2ByKdtc4JNOviSdn7XnGMhbIJPMuZzTSWsD/2L6iDmeSFub9zeTE+aYvN3RPkpB2MCCHZff2W/vOe0NM56Nyojs/mU5NpsMpVIMiiiBQ1POaAW2Wk0+IsDOd7bavZnDRYFASj8QzPpQQHRy3m5olJaQQmXuYhmaUJhZV5myhmahz25QLI3nr1hDdAXZO3IFaAgoTZFABJbHhsduqB7o/JydC/kXIylr4KsrzZce0/afmbKR6tke62A+3Gc792jIJqt2g1iFRg0zVURQFYQzVoZuFyN3Sco5kGpRoj57zm7siXloQo3Z+7y2YJ8bhyyXkC3MZCFSikaH3LzddGcH7XFnyp4vnavZZbtuh9N2A5OkGrv/oODOjCMznM9MQWBzAQKfeJdWuyBWiWRb90WsgwftOZMgP1+19ySHe0iKgBTaEN6D+Rftxj5w2G7kefz+b599yBzTJrGTl5wxnvMKMibCOlupNXeEGKyRPC5J5Xn7bw4ZSWpGES/m7fuew3f8+XnrfBGdaWuz5pBB5cizFZDRObLocMZWC9jxyQ5NSZpfad7Zzu8I1hImDSQuY/D7YN1zb6Div+WIZcSm2PHOVlubV1f3ay8a58+lsnaTpLEnqKK9ChXftgbSDxS4K7dDX+WafQmTIxg9gcxYFRmG9n5rHEmsnMxn8XPoM6HMQWNdxvdzaGsHjH3+WshbyY1QJNDekyWICJLvQ2N2uWiv6f/kv8X+PowNHZt26DHROK3N4zn3omsNKt8OzhjLpFJ43y7O2WxbZtg6pOWMfc5+EarYQzYSbrTR14PNHFzrDn/PzNtmGxA/r5GKfndHc55KIPAZzOXDdAQ4vdUFbPRw5gIhyDvt2s+SZoCggJysFejyNdKYY/cug6/VrD2mjaGzw1EwfK6NxuXUo4xB0nxuiUl8/zjkNJBpv6MXYrqNupUZrEBqRaBfBDM0YZanFmFj2KnHdYGpFqSLMEimXuKLMzajembWZu8e2mO1yLhupLCETrpGD2fO4v3p7MKsxCTuc/01bzdlS4oE+U2w450tyRrwthkoDR+ykSwlB5jluVayL0iqG4avGt5SvjQcVVEasC9ZddmeYxtUsQPBzfbmtXI6U+ev2NLNan/ze8D3lin5Kh3UBi86S6FpcN1YjiGJeA48s1kMv+WGw3MsYxOmnhKjRh63Y92scuYexDNXMmHGNL8MRfev2Q2jel9zKQWHElcNzhd/3onsIJ2xFByf0rzNxl2DkCNHmmymZdbI4eQmSvtcLNhrKqXCUqQ5J7YPZpr/fJVzBrEO2PwhOFP5SvNM1mIhzGhyjl9gDybt2moftMFW+Zpd68Us1noJnXAjzXXzqABfum6DvdX9KInhuTNzlYTuSXcydKjLmN+4gs+g08xsPAeOcy0me+09rk2hGpDE+4h3JQlHhhMoCkv28zJ99h6+nINNbSA3RHma5Yp1AKmrVcTA8VU4lGsQ6G1JNutVrGsste77bwHsCmcrIiIiIiIiYgsRM1tNseOdLe+dSfW7PRiajOibM7GoKcVyURrT65cXwsiWUQ6zMEmMpqlRSBGEepYVGXkugxO2t9d27h3aZ1uQybVhq3oS2QGW5lnaIR9DCkn9PVD6XsjZc+BgWXYn8bVmJqtyHeScNHhrs/b3O/fiHp+257vSg3IUdLc8yseNItskMprVYzaTFXD7inYtpjFzcjVtv6O0BE4YuHU8J5Yt5hHtc52y9MKs7/wVW9odvSvMsCyvoHyETJJH9E5ZghKyAT0o23GmpnseZT/MFWxPsiTeXO+N9zAD+7BUDN9/luWD8uo9dh0wY+jJa0NZkS8D1xG7BZdr4Prh/e1CmZLZO3LQOLKIGU4p7HhcQzafTTekEcxDvqI0Z+9zNyR7qhnQBEDA9yCb13CNnL3YjupCbs6eTwYZ2EbrgLNJq1jLs8iiBpksTM3gFAtXvw+0oIzoY2arKXa8s+WcN4s8AVvPESYFlAloXLtgFGg4XSI0NOQj5bGJMiVOw0RnKok25ho2RWrKcFNswzmSZLy/13bNcNNNYxPn5hCUPSVVMSZpARvG2hzKM/ubG3iWYmlbVofsJshS69oBzF7Ec1xGKYUbzmoOpd40eHmVsBuRpQk6nAGnatrek9o4nCEYZypOc5D1xQvQ6TpgNyiSywP+EfxXOhED41abiM+s0b91oHxDPhJ17LiR09EnN6ftzfYa+S4Rweehu5izU6kcTlkXSaom7d8MdNlzyuA+cx1s1tLf2W//ns+FTQbkE7X3wSlnMAi+49xLltC/OmbV2qsrYfmYoHPF949lQ9pQrTb3JsjN6xixTnZ10X6+bzD5ox4ry3iu5OpiXXKItBRy4zpgD8oQ1PaYbtKG7mPyzOpLoeRfbj3ibMTNsOOdLWl9PuKrYHaBL8Bw2kbj3Bxo7Bl5+1JoaBJD1vj191pju5S3UVB5CdE5ScMNDLr5fUZQIBmTD0XeGfkSzKTR2QrIoA0iW2qJMXIsI7uX5DmgfX12xvKJRkasg5gHx0J58JuwieZH7PEaOrSS6GZi7m4NkXONhF1Jq9iE0v32M0skLmN+4wq1iJBVrV6GdtGo/b5ONINwA7uil34AAA3jSURBVKtgwHEFn8+MCVHCu1Bo8PtsjCDYKTsDbl431skiMqIdIHfrTqhy00FloIDjXjh7c5BJKHfYZ8KskCTlwOOiXAy/kwT2BPiDm21pDBCp55YDd5BuC9dZkUEA1u0K7AvPXwqlHmjDNnOiU+SBpZoHpBQpph/Q0UuurT0/BqAk3FN2hQ5ufibsPOwftRWGImxSdwb8RPAPi8hcs8OyWpfN36zL/g2HV+xG3AQ73tlaW3Mq1UUMgwPWmeJLwu4nRoU0TFmQyUuDoaGhbtX1JfsWMcLJjltjnEMmLAHHhQ7kZqBu1ni/dVToYNIhXUCKfKTX3tPUYHg+3NgzcNi6cA3cgOh8ZfEcp67aElbyOjasw9bQla5gNiI2ySqNN6LIHuhB8XwblRGZMWBWZCFvHQeP6Lx90K4jbkDc5plhqCG7mKfjgYzqwpR1aAfG7DopoSRYRmNHojcsI7IczCwusb/fZsuox8bnln3QPmeKDr901XaR9ffZd60P+m508umI7O2x3ze1HG6yJRCdOYCY2XGWfyvI1nEtduAeLMG5G+uxZUpmLIvtaBrCumJ3ZA3nU0HJr9Igq0sxaTYNJDbRIpuH090JgV1mQAtpdO7CZrKEt2fUrrMO7Avzy9CUQyPHZl3sUuhAemTLKngXqIdG2SJ2ByeGX7sHrkF1YcsRRU2b4pZztpxz75b0a5LaJX3Ue//LzX6/rc2bzE0fHJ9Mhz1+7pwd2twDbSK+Un1J+/e5rrDtORjXgeicUR3b42fRycf08uhBy8Gig8hsQVAyg/GnTALLHBS/5AaaXw3vAY1h0Nbc3txh5GwzRrIDiBrnveVcDaMDC4LRQbaO53sF4psDfTZj0kjmgLg2Z8+JauN7B6wzM5ts7oBW8Nwyh62wIyU5sll7znRw+Uyo5s7PI58pCR2uRoOvg4kL+Ex2spXh0LFbkKXSoS67QS1DQy7dY58rAyHeAwq/9mLOKflQL0NxXpL2DVv+IYMZHrfByNAhDQIDZImG++w9oCYVnXwGBlzLdM74fYEOX3fYQUq9Mga5vRDApQ2awVi14WzzoHkAa53ahuTBbiY8u4yAlwEyv7+rPxQoZea6Xv9RCtcWgyW+K9w3ynUTIra7oucl+ZjZaopbytlyzrVL+rCkRyRNSnraOfcp7304jG8DHe2r2pt9bSNmVMkRCv2DiAJT1LAC/wGRL6OX1wPqcC0giqJzlQRHg1jGS92ZsIYmUL2GLk4PNkRuQH3I5jEbuNiAHErniM5MYNywyc4WbGRLsmlA0u9o7mAWp+3nde2DYCCFIW+3QpNT0yD8oxWcjRVSGP2yBNaeBdcGxpbl5f4Ru1Yp2TGDe7aZ0z3abT+P2cSrkILgMxvstRscnXJJmoUqPjcMZkALU3aTZfMFM5xLCZTksdYHupurdF9csNpnxUmbhd5zyM4ZJYYzYTaPNqOI9zOQgsHP6WyN4jvomASjsOBsdeK5M6tEUBWfkwg4e5ENOVK4ViaX7PtD3ikDgbF+uzZ5jTlOBgFKaFxKITi7tmDXdncqLAfXg44PnzEzeVLYxOPoVAd7hz1mmZ4Z0OXFumtsIK69pfA+ZrY2wS3lbEl6SNLL3vtzkuSc+31Jf0/SDZ0tL2cixyuTVkl87z6bDQhm5iHjkuhoHt1nOsOojmri1FNhtF5jREMNKICK0Lkz9hprd9qMyVivNVzchKcLdoPLF5pH99dnreFsRM70iATnCtbRIAGdmy6dq4VLdlPs22evkSR9brosA1IIdg5lCxpPdgbStAWEXoVdp7xmOifDKMMtcgPKNNflYqAQqJ1jAyQpuYiutfE+e4/Z1cZRVgHPRqGTyvIN36cS1v7YoD2HaWQ8OJmA3YJTKOHzHPn+p/fZe8znvIiRRQzmpLA8zMwTr4FZm6vnbbas0tvc2eJzoSPgYH/IyaQDTKeAzR9tGayjapjZzqask1uYtM7N7XdZRXYqugcdkWvk0trvo42lDhc7toMSHe7ZKkp+5Rl7jfk77DNopDUWcDLxGRVk2/jcBjM2mKHD6Yp1x9vtbClmtjbDreZsjUuqn8o6Kemtzf5gZbVNU7nXDGzmBfuSlUfRJTdrjTEzMGfQ0TW2x5YIGnXiLIFUOzxgo6oZDHbmphwQ5NECvPIURAnvAYH9LGQMjtuXlo4Inau2y8g2YJhvd9oassIsZj1K6kA0zBFDHgTUkb+293HmLSTAsqTWfClz/hvnU7JJgYTZMhyRjjQI/ejkKy2HWR2WHkqzdhNO9DYvZbJ8QyeZ5SKaPmbb+NzPnbUjUY7eY1WxWe6iYzHSY52AmWK4DhK4T+TGEG4SfEWU5DrxeYVFZLY4bQEZidw5DGXeYwMJSlMUOeoKDubSUjh8mwO8+dySkJ9gpjmRR6YKjvxVlKdJ0i/m7O+vDjQXPV1+2jp3XQ/arC7t0QoI+NdxPpK00o/M1R5MS8BapNwMgy0i8Ye2Q7L8g9aJ5zlXMEmEfMV2NjpQjiMLBxfPrLuBGG/g9NYwp5OTQsCx5Jg0oq3+81rh98TMVlM4fwu1azrnfkjSu733P7Vx/BOS3uq9fz9+732S3rdxeJekM9t6oq3HkKTZTX9rZ2I3X7u0u69/N1+7tLuvP167xe3e+3BI7RbBOfeXG+fxjWDWe//urTifmxG3WmbriqT6SbT7Nv7NwHv/EUkf2a6TutngnHvGe/9gq8+jFdjN1y7t7uvfzdcu7e7rj9fe2mvfTU7T3xbbLMbxTeNpSYeccwecc0lJPyLpUy0+p4iIiIiIiIiIG+KWymx571ecc++X9JjWpR9+03t/qsWnFRERERERERFxQ9xSzpYkee8/LenTrT6Pmxy7toSq3X3t0u6+/t187dLuvv547RE3NW4pgnxERERERERExK2GW42zFRERERERERFxSyE6WzsIzrnfdM5NO+eeb/W5bDecc/udc487515wzp1yzn2g1ee0XXDOpZxzTznnvrZx7f+x1ee03XDOtTvnvuqc+7NWn8t2wzl3wTl30jn3nHPumVafz3bDOZd1zv2Rc+60c+5F59zbWn1O2wHn3F0bz/zV/+Wccz/b6vOKaIxYRtxBcM69XVJB0m9774+0+ny2E865PZL2eO9POOcykp6V9P3NRjntFDjnnKS0977gnOuQ9GVJH/DeP9HiU9s2OOd+TtKDknq999/b6vPZTjjnLkh60Hu/K3WmnHO/Jen/eu8/utGl3u29X9zs73YSNkbZXdG67uTFVp9PRIiY2dpB8N5/SdL8pr+4A+G9v+a9P7Hx33lJL2p94sCOh1/Hq5LcHRv/2zVRlHNun6TvkfTRVp9LxPbCOdcn6e2SPiZJ3vvqbnO0NvBOSa9ER+vmRXS2InYcnHMTku6X9GRrz2T7sFFGe07StKTPeu93zbVL+q+S/qWk3TovxEv6jHPu2Y3pGbsJByTNSPrfG2XkjzrnwjlROx8/Iun3Wn0SETdGdLYidhSccz2S/ljSz3rvc5v9/k6B937Ve39M61MVHnLO7YoysnPueyVNe++fbfW5tBDf5r0/Luk9kn5mg06wW5CQdFzSr3vv75dUlPSvW3tK24uN0un3SfrDVp9LxI0Rna2IHYMNvtIfS/q49/4TrT6fVmCjhPK4pN0yPuNhSd+3wVv6fUl/xzn3O609pe2F9/7Kxv9PS/qkpIdae0bbiklJk3WZ3D/SuvO1m/AeSSe891OtPpGIGyM6WxE7Ahsk8Y9JetF7/6FWn892wjk37JzLbvx3l6RHJJ1u7VltD7z3/8Z7v897P6H1UsoXvPf/oMWntW1wzqU3GkK0UT77Lkm7phvZe39d0mXn3F0b//ROSTu+KQb4UcUS4k2PW05BPuLGcM79nqR3SBpyzk1K+g/e+4+19qy2DQ9L+glJJze4S5L08xsTB3Y69kj6rY2OpDZJf+C933USCLsUo5I+uR5rKCHpd733f9naU9p2/DNJH98op52T9I9afD7bhg0H+xFJP93qc4lojij9EBERERERERGxhYhlxIiIiIiIiIiILUR0tiIiIiIiIiIithDR2YqIiIiIiIiI2EJEZysiIiIiIiIiYgsRna2IiIiIiIiIiC1EdLYiIiIiIiIiIrYQ0dmKiIiIiIiIiNhCRGcrIiLiDYFz7m9afQ4RERERNyOiqGlERERERERExBYiZrYiIiI2hXPuE865X3TOfck5d8k5964Gv1PY+P8J59yLzrnfcM6dcs59ZmNmY/3vpp1zf+6c+5pz7nnn3A9v17VEREREbDeisxUREfF6cFTSovf+7ZI+IOnHN/n9Q5I+7L2/R9KipL+Pn79b0lXv/X3e+yOSdts8v4iIiF2E6GxFREQ0hXOuW1KfpP+y8U8dWnegmuG89/7VgeDPSprAz09KesQ595+cc9/uvV96o843IiIi4mZDdLYiIiI2w92SnvXer24c3yvp+U3+plL336uSEvU/9N6flXRc607XLzrn/v0bdK4RERERNx0Sm/9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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import soundfile as sf\n", "\n", "L = 1024 # length of one segment\n", "overlap = 512 # overlap between segments\n", "\n", "# read speech signal from file\n", "x, fs = sf.read('../data/speech_8k.wav')\n", "x = x/np.max(np.abs(x))\n", "\n", "# compute and plot spectrogram\n", "plt.figure(figsize = (10, 5))\n", "plt.specgram(x, NFFT=L, Fs=fs, noverlap=overlap, sides='onesided')\n", "plt.xlabel(r'$n$ in s')\n", "plt.ylabel(r'$f$ in Hz')\n", "cb = plt.colorbar()\n", "cb.set_label(r'$|X[f,n]|$ in dB')\n", "plt.autoscale(tight=True)\n", "plt.ylim([0, 2000]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise**\n", "\n", "* A speech signal exhibits a specific spectral structure. What insights can you gain from the spectrum above?\n", "* Change the segment length and overlap of the STFT. How does the spectrogram change?\n", "\n", "Solution: In case of a vowel a speech signal is periodic due to the underlying speech production mechanism. A periodic signal has a line spectrum consisting of a fundamental frequency and various harmonics with multiple of the fundamental frequency. The [harmonic structure of the vowels](https://en.wikipedia.org/wiki/Formant) is visible in the spectrogram." ] }, { "cell_type": "markdown", "metadata": { "nbsphinx": "hidden" }, "source": [ "**Copyright**\n", "\n", "This notebook is provided as [Open Educational Resource](https://en.wikipedia.org/wiki/Open_educational_resources). Feel free to use the notebook for your own purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the IPython examples under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Sascha Spors, Digital Signal Processing - Lecture notes featuring computational examples, 2016-2018*." ] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }