{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Background" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This brief notebook provides some background material on FT8 and some of the theoretical concepts that will\n", "be useful in understanding how FT8 signals are received and transmitted.\n", "\n", "This notebook uses the following libraries:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import scipy.signal\n", "import ft8" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## What Is FT8?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "FT8 is a digital communication mode used by amateur radio operators.\n", "It was first introduced in 2017 as part of the WSJT-X program that is developed by Dr. Joe Taylor (K1JT)\n", "and his collaborators [[1](#References)].\n", "\n", "Key features of the FT8 digital mode are:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Short, highly structured QSOs, lasting 1-2 minutes\n", "* Alternating transmit and receive cycles, each of 15 seconds duration\n", "* Highly robust in the presence of noise\n", "* QSOs possible at SNRs lower than -20dB (measured in a 2.5kHz bandwidth)\n", "* Originally designed to take advantage of Sporadic E propagation\n", "* Builds upon ideas developed by earlier digital modes such as JT65" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "![WSJT-X User Interface](images/wsjtxui.png)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fourier Analysis" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Named after Joseph Fourier, the french mathematician who proposed that mathematical functions can be decomposed into a sum of sine functions in a 1807 paper on heat transfer [[2](#References)].\n", "\n", "WSJT-X makes extensive use of a tool from Fourier analysis called the Discrete Fourier Transform (DFT).\n", "This transform takes time domain representations of signals (what you would see on an oscilloscope) and converts them to frequency domain representations (what you would see on a spectrum analyser).\n", "\n", "Computing the DFT of a sequence of samples is computationally expensive, and therefore the DFT was not widely\n", "used until 1965 when a method for rapidly computing the DFT become widely known after it was disclosed in a\n", "paper by Cooley and Tukey [[3](#References)].\n", "This method for computing the DFT is now known as the fast Fourier transform (FFT) algorithm.\n", "\n", "WSJT-X uses a particular implementation of the FFT algorithm called\n", "\"The Fastest Fourier Transform in the West\" (FFTW),\n", "that was originally developed in the mid-1990s by Frigo and Johnson while they were students at MIT\n", "[[4](#References)].\n", "\n", "The following example illustrates how the DFT can be used to convert a time domain representation of a signal\n", "to a frequency domain representation using the Python scipy implementation of the FFT algorithm." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def fourier_example():\n", "\n", " plt.figure(figsize = (14,7))\n", " \n", " # Generate a noisy signal\n", " duration = 1\n", " points = 256\n", " t = np.linspace(0, duration, points)\n", " noise_sigma = 2.0\n", " n = np.random.normal(0, noise_sigma, t.size) + 0.1\n", " frequency = 20.0\n", " amplitude = 10.0 * np.sqrt(2.0)\n", " s = amplitude * np.cos(2 * np.pi * frequency * t)\n", " \n", " # Time domain view of signal with noise\n", " ax1 = plt.subplot(121)\n", " ax1.set(xlabel='Seconds', ylabel='Volts')\n", " ax1.set_title('Time Domain Representation')\n", " plt.plot(t, s + n)\n", " \n", " # Calculate the spectrum of the signal with noise\n", " f, spectrum = scipy.signal.periodogram(s + n, points / duration, 'flattop', scaling='spectrum')\n", " \n", " # Frequency domain view of the signal with noise\n", " ax2 = plt.subplot(122)\n", " ax2.set(xlabel='Hertz', ylabel='dBV')\n", " ax2.set_title('Frequency Domain Representation')\n", " plt.plot(f, 10 * np.log10(spectrum))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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jx4/PexiEEHJVIyLVDvHEwOsUIYQsBq7XKqbbEUIIIYQQQkgJBkmEEEIIIYQQUoJBEiGEEEIIIYSUYJBECCGEEEIIISUYJBFCCCGEEEJICQZJhBBCCCGEEFJibkGSiDxMRN4jIp8UkTtE5MfN40dE5J0icqf5vT6vMRJCCCGEEEKuPuapJKUAflop9TgAXwPg+SLyOAAvBPAupdSjALzL/E8IIYQQQggh+8LcgiSl1ENKqY+ZvzcAfArATQBuBfAa87LXAHj6fEZICCGEEEIIuRpZiJokEbkFwFcA+DCA65RSD5mnTgC4rmGZ54nIcRE5fvr06X0ZJyGEEEIIIeTKZ+5BkogcAPAXAH5CKXWp/JxSSgFQdcsppV6hlHqCUuoJx44d24eREkIIIYQQQq4G5hokiUgCHSD9iVLqL83DJ0XkBvP8DQBOzWt8hBBCCCGEkKuPebrbCYA/BPAppdRLS0+9FcBzzN/PAfCW/R4bIYQQAtCJlRBCrlbmqSR9HYBnA/gWEfm4+fk2AC8B8BQRuRPAk83/hBBCyDygEyshhFyFtOa1YaXU3wOQhqeftJ9judy51B3g4FIy72EQQsgVhzESesj8vSEiZSfWJ5qXvQbAewH83ByGeFmx3U+hFLDamdv0gxBCnJi7cQOZjocu7uArf/mdOH7PuXkPhRBCrmh8nVjpwjrKXac28ZSXvg/f8JvvwV/900OTFyCEkDnCIOky5+xmH2mucPJSb95DIYSQK5YQJ1a6sA756L3n8H+9/APopRluPLyE57/+Y3j+6z+GXprNe2iEEFILg6TLnEGWAwDSPJ/zSAgh5MqETqzT8YWz23jmKz+M9ZU2/vJHvw5v/rGvwwu++ZH4q396CO/5NBU2QshiwiDpMifL1chvQgghs4NOrNNz2wMX0Utz/I/v/Qo8/OgKWnGEH/qGLwIA3H9+e86jI4SQelg5eZmTmuAoZZBECCF7gXVivU1EPm4e+wVo59U3ishzAdwL4N/OaXwLz6mNLgDgxsNLxWOHlhMc6LRw//mdeQ2LEEJ2hUHSZQ6VJEII2TvoxDo9pzZ6aEWC9ZV28ZiI4KbDywySCCELC9PtLnOoJBFCCFlkTl3q4dhaB1E0GmvevL7MdDtCyMLCIOkyJzOGDVlG4wZCCCGLx6mNLq5d64w9fvP6Mh6gkkQIWVAYJF3mpBmVJEIIIYvL6Y0erj24NPb4zesr2OiluLgzmMOoCCFkdxgkXeakrEkihBCywJza6DUqSQAd7gghiwmDpMsc1iQRQghZVPppjnNbfVy7Nq4k3VQESUy5I4QsHgySLnOKmiQGSYQQQhaM05s9AMC1B+uUpBUADJIIIYsJg6TLHNYkEUIIWVROXdI9kurS7dZXEqy0Y5o3EEIWEgZJlznDPkl0tyOEELJYnNowSlJNup2I0AacELKwMEi6zGFNEiGEkEWlCJJq0u0AnXLHdDtCyCLCIOkyp1CSMgZJhBBCFovTl7qIBDi62q59/qbDVJIIIYsJg6TLHCpJhBBCFpVTGz0cPdBBK66fbty8voxL3RSXuuyVRAhZLBgkLQBbvRRv/scHgpZNM7rbEUIIWUyaeiRZrMMdzRsIIYsGg6QF4G23PYSf+LOP475z/ikHVJIIIYQsKicvdScESeyVRAhZTBgkLQAb3RQA0B1k3svS3Y4QQsiiopWkcWc7y7ChLOuSCCGLBYOkBWDHBEf9zD/QoZJECCFkEclyhbObvUZnO0AbOiwlEdPtCCELB4OkBWCrp5WkfuofJFkFiTVJhBBCFomzmz3kqr6RrEX3SqINOCFk8WCQtABs942SFBAkUUkihBCyiAx7JDWn2wHAjYeX8eBFBkmEkMWCQdICsN03SlJAup3tj8Q+SYQQQhaJUxtdALsrSQCwttTCpsmoIISQRYFB0gKwRSWJEELIFcapS25K0koSo9v3Ny4ihJC9hEHSArA9RU1SWtQk0d2OEELI4mDT7Y4d2F1JWm7H2A5wdyWEkL2EQdICUNQkhaTbUUkihBCygJy81MX6SoJ2a/epxnI7xg6VJELIgsEgaQGYyrjB1iQxSCKEELJATOqRZFlOYvTSnNcxQshCwSBpBnzgrjO448GLwctPZdxAJYkQQsgCcnazh2vW2hNft5zEAMIaqhNCyF7BIGkG/NJb78DL3nNX8PKzsADnHThCCCGLxHY/w0q7NfF1K+24eD0hhCwKDJJmwHY/Qz8ND1KmayZLJQkA7j+/jZ9648eD9iEhhJDZ00tzLBmVaDeWqCQRQhYQBkkzoJdmU7nL7QymUZLobgcAP/Pnn8BffuwBHL/33LyHQgghBDroWZpg2gCgUJuoJBFCFgkGSTOgO8iDlZx+mmNgzBcGATVJ1rghvcqbyZ7fGgAADi4lcx4JuVr54w/eg2e96sPzHgYhC4OrkrTc1lORHSpJhJAFgkHSDOgOsuAgxZo2AEAvJEhiTRIA4Px2HwAgMueBkKuWD3/+HP7xC+fnPQxCFobuIEPHQUlaTrSSRBtwQsgiwSBpStJMq0ihQUo5vWCamqSrPUi6sK2VpKt9P5D5cfpSD73AmrhTG1287D13QSkev+TKQCml0+2clCT9mp1BOuGVhBCyfzBImpKumRSlgTVBZSVpmpqkq924wdqnD67ytEMyHW+/4wTe8+lTQcue3OgizRXSAEX4nZ88if/69s/gvnM7QdsmZNEYZAq5ApYSl5okEyT1r+7aWkLIYjHZm5PsinXjCVUwtnpUkmYJ9wOZht9/7+ew2onxzf/sWq/llFI4dakHQNdhtGK/+082zWijN/BajpBFpZfqY9pJSUqsBTiVJELI4kAlaUp66XRKzki63RQ1SaFK1pUG9wOZhn6aB9UXbvTSoug8xMbYnkc2u5wkkiuD7kAf0x1agBNCLlPmGiSJyB+JyCkRub302ItF5AER+bj5+bZ5jnES9qQ+C+OGEHc7Kkmjxb5X834g09PPcuQBdUFWRQIQVJdkj+HNHoMkcmVgr40uxg1sJksIWUTmrSS9GsBTax7/70qpLzc/b9vnMXlRBEmBCsaWuSi0W1FQup2twbmaa5LObA4nqPPaD4MsDwpyyWLRT/OgQPvUpW7xd8jdcLvMBpUkcoXgk25nX0MLcELIIjHXIEkp9T4Al3X3T5tSEKpg7BglaX0lCboDbZvIZlexYcHpUpA0r/3wojfdhh993Ufnsm0yOwZZYJC0MTwG7TnBh25qa5IYJJErA/s9cGkmG0eCTiuiBTghZKGYt5LUxAtE5J9MOt76vAezG71CSZrOuOHwcjvQ3Y5K0pmNspI0HzXnjgcv4f7zdCa73OmnObKAdLuTJSXJ3kH3wbp6zbMm6W9uP4H/8IZ/5ESVzAQfJQnQNuBUkgghi8QiBkm/D+BLAHw5gIcA/Fbdi0TkeSJyXESOnz59ej/HN4K9AxzeJ0lPig6vJEHGDaxJGlWSpgkWQ1OtAD1JvpoD1XmT52omzlihxg2zUpI25+hud/sDF/G22x5yqiEhZBKFcYPj8bSSxAzQCSELxcJdDZVSJ5VSmVIqB/BKAF/V8LpXKKWeoJR6wrFjx/Z3kCV6g+nd7VqR4ECnFaYkZZe3u90gy/GsV30Yx+8Jz7o8s9Ev/p4mWPw3v/8B/M677vRerp/mOLPZD+qPQ6bnrlOb+K7fez++9iXvxkZ3uiAj1LhhWiWptwA1SWe3ejiy2kYUydzGQK4cbJ2dq5K01I6xTSWJELJALFyQJCI3lP79LgC3N712EbB3gEMnyNv9DCvtGEkcTeVulyt9N/1y4+xmH39/1xm845Mng9cxYtwwRU3SPWe38NAF/5Q5q2Sxke18+C//6w585uQGLmwP8I47wo8jpRT6WR50w+PURg9rHd12LkRJsmlG80y3O7PZx9HV9ty2T64sipokxyBppR2jSyWJELJAzNsC/A0APgjgMSJyv4g8F8BvishtIvJPAL4ZwE/Oc4yT6E6tJKVY7bSC3e3K2w2ppZg3NkXqsyc3gtdxfruPtknpCFWSlFLY7mdBy5+4qFWEy1XNu9y5uDPAV3/RUdy8voy3fOLB4PWkuYIKvNlwZrOHm9aXAYQpSfY8Mk/jhrObPVxzoDO37ZMri2FNkts0YzmJaQFOCFkoWvPcuFLqGTUP/+G+D2QKbEpB6OS8O8jRaUVTBEnDZbJcwfGm3cJg76DfeXIzeB0b3RTrKwlOXuphEBio9I2rWUiwa1OtqCTNh36aYymJcOuX34iX/93dOL3Rw7E1/8m+/f6F3GzoDXJct7ZU/O3L0AJ8fjVJZ7f6eNiRlbltn1xZDGuSHNPtkpgW+ISQhWLh0u0uN6ZVkgZZjiQ2QVJIul1pYn45GgfYQt0HLuwEN9Lc6A6wvqLThHyD1c+f2cKvv+1ThctgyATZKklXc5+kNMvxa3/1yZF+QftFL83RbsX4pkdfiyxXuOPBi0HrsZ9fiI18L82xtmTS7ULc7Wy63VyVpD6OrlJJIrNhWJPkaNzQpnEDIWSxYJA0JdMqSYNM6SApjoL6JKW5QssUWl+OvZLK6RV3BqbcaSVJB0m+NUnv/vQp/MH77sa9Z7cAhO1DqyRNUw91uXP3mS288v/7PN77mf13muynWo1daes71iHfI7seICxQ7qcZDi4nevsBSpJdZl41Sd1Bhs1eiqMHWJNEZkPX1wI8oQU4IWSxYJA0JXZCluUKKmBypZUk3UgvJN0uy1VxEboca2LKF8XQuqSNbor1VT1B9Q1WrXpw2lg4h6hxJy6xJsmmyWzNwIbbl16aod2KCqvhkO+RXk94Y+h+VlKSAiZ63TkrSdb85BoGSWRG+FqAL7dbrEkihCwUDJKmpDwhCplgp7lOtwt1t0vzvLgIzbNX0j1ntoKWK6dXfDawLmmjO8BhqyT5BklmYmz73GQBgc4w3S4sUL4SsJP7rTlM8ntGSbK1D6FKUpFuFxIkpTlW2y1EErZ9e7Pg0pyUpLOb2kaf6XZkVvTSDJ1WBBE3S/nlJA66wUAIIXsFg6QpKTtZhUyuBqlCKxa0WxFy5WclnucKuRreqZtXTdJHPn8OT/xv78WnT1zyXtbeOTyy2g4KtLJcYaufYX1FK0m+VuwDs89OTaEklRuJXo51YbPABkdbc7gTrGuSosLhMFRJ6gcGSWmWF9/DpYCJnlIK3UGGOBL00zzIHW9azm7pY5jpdmRW9Aa5V2PilbZOt7tabzQRQhYPBklTUu6JEjJBHuRD4wYAXuYNtnaiY9Lt5qUk3f6ALpS3d6N9sHfQbzy8hAs7/s5etoZjPVRJKtLttBo0bSPRq7UuyX4O+60kKaVMTVJcTMhCg4x+YLqd/c62bZDkuf1Bpm922B5F1kRkPzljvru0ACezojvInOuRAGC5HSPLVZCBESGE7AUMkqakfNc4pOi/cLeL/e+C28ncvJWkz53WaXIhk9MdU8Ny/cElXAwIki4Zy+SDSwniSPxrkmy63SWjJHl+hnmu+yvZRqKhFuSz4KP3ng92dpsW299nv2tq7ISqMwMlqUi38wyUremCrYvyNW6wNwqsbfk8zBuKdDsqSWRG+AZJ9rXdPoMkQshiwCBpSspBUsgEeZAqJCbdDvCb4A2y0cLYkHqaWWCDpJDJ6XY/QysSHF3t4FJAkGQNA9aWWogj8Q4U00q6nW+QZVUDW7Q/TyXpRW+6Db/1js/OZdt2Yr+9zyqIPeY6JeOG0JqkUOOGcSXJb/s9cw6xKs6lOfRKOrvZw0o7xkp7rq3zyBVEd5A7238DKNwptwfslUQIWQwYJMHU9gSqMOUJWVBNUp6jVUq385ngDZUk6243nwn63ad1LVFowfpyO8ahlSRISbLNN9eWErQi8Q4U7QT31IZ1qPPbh9Z4Ym0prCZqljx4YWduhc/W1W6/3e3sMdduRWjFESKZoiYpNEiyY4itkuT3GdiU3UJJmoP5xdmtPlUkMlO0cYNHup1RktgriRCyKFz1QdK7P30SX/wLb8PtgWlK07rbDbIc7VK6nY/Dnd1ex9ytm0bF+ODnzuL5f/Ix72DxUndQqDBBQVI/w3IS49Bygl6ae0/yq0rSwHMf2HQ7W5PhO0G2qVJWSRoEBqr3n9/GN/7me3D36TCHv61eikvddG4NbTfmVJNLPcX6AAAgAElEQVRUVpL07zi4JskeO7mCV/G4Pe47SYxOgJK0U1GS5pFud2azhyN0tiMzxFdJWrZKEoMkQsiCcNUHScuJntyG3r0tGzeE1CSlmW4GG2TcUFGSpjFueMYrP4S/uu0hbHoqAVZFAsKCpO1+hpV2XDTi9E252+hZJalllKSwdDu7nG+g260GSYEqxp2nNvGFc9v469tPBC1vezX155TuN7QA398JTllJsr+nVZIAv+9SWUlaClKSRmuS7DG9nzx4YQc3HFza9+2SK5du6mncYGuSaANOCFkQrvog6YApuA+9e1t2sgppJjrIciStMOOGMSVpBul2vhPMz50aKh8hk1OdbtfCIRMk+abcDZWkBK048t4H1aDUV0nbMUXGNsgLbShrFZj333UmaPmTtldTYIAwLUML8HkpSbH5HQXXJPWzkgmLh5JUNo8IUZLspNDa2Hc9jR+mRSmFBy7s4Ob15X3dLrmy6Q5yr3S7FSpJhJAF46oPklY7+sQcOrnrlVIKwtLtFJIozLjBKlfTNpM9szns8+Mb6Nx7dqgkBQVJ/QzLSYSDRonxLVovp9uF1CRVa4h8g5yxdLtAJccGGcfvOR+Uk/9Q0dB2PkHSvCzAbWqdvckwjZI0SIefXZCS1ApTkuwxdNDUtYWOP5RzW310BzluYpBEZkgvzbzS7azqtEMliRCyIFz1QVKhJAWmCXUHWbGOkJqgwgI8IEiyE/qhcUPY5Or4PeeLv30naFumpggIswDf7qdYmUJJutQdFK5iIe521aAmvCbJGjeEBkl6Pf0sx/F7z3kvb9Pt5laTNINmsoPMv5FqoSQltiYpXEnqZWHpdkWgZpQk3+1b5ciqkdN8hm+/4wRe+6F7vZa5//wOAOCmwwySyOzoBSpJTLcjhCwKDJKMAhB6B7w7yLBqgqQQJSfNlE63s+52IcYNUypJHy1Nyn0b+aVZjnYrQhJLYLpdrt3tQoOknbRQoUJqkqoT0nB3u+n6JJWPv4/ee36XV9bz0EU90Q1VsqZl09TR9NM8eJL/i2+5Hf/u1f/gtUyvVA8EAO2Wf5BimVVNku8kzwZZ9jsQOn4A+OHXfhT/+c23ey3zwAUTJFFJqkVE/khETonI7aXHjojIO0XkTvN7fZ5jXER0nyQaNxBCLl+u+iBpOYkRSXhNUi/NsWp6i/gqOUrp7uJJJEN3Ox8lKZtNTdIdD14q/vYNdPqZKprhhrnbpYW7HQBc3PZNtxsUKk4cibeSU53Qe/dJqihJoTVBW/1Muxy2oqB0kxMXrXHDvGqSstLfYd+lz5zYwCfuu+jlLDdUkoY1SaH7YOogqRWhk/h/D2ygbW/YhKbb+ey3Mg8YJenm9ZWg5a8CXg3gqZXHXgjgXUqpRwF4l/mflPBtJksLcELIonHVB0kigtV2K8jdLs1ypLkq0u18J9j29SPpdtO42wWqCCcvdYtUB98JXprlRTPc0GayZXe7izt+n8NGNy1UnFYUeQeqs0q3s2pWaKC61Uux2omRRBL0OS5CTdKRVd1nJzTl7uxWH5u9FGe3+s7L1NUk+dYEWcr7LtS4YakVeytJ9vUrSYx2HB7kWRt7Xx64sIO1zjDllYyilHofgGoO7K0AXmP+fg2Ap+/roC4DummYBThrkgghi8JVHyQB+g5uyN1v62JlzR9C62Facai7nX7tNMYRAHBqo1c4W/kGOramqtOKg93tlpIYSRxhtR0HuNsNhkFSPH26nXeQ1B8tug8NUnSQ1AqqqwJ0oAvMx92ul2boZzmuNRbWoUrSGdNv696z2x7bHq9J2m8lqWxDvpToIMlH1bHnEf09CEtbBYA7T20ELXf/+R2m2vlznVLqIfP3CQDX1b1IRJ4nIsdF5Pjp06f3b3RzJs1yZLnyqklqm2bQVJIIIYsCgyQAq51WkLudvQO8GmjcYOtXrBIDeLrbzaBPUneQYaObFqk2vhPMQa7QMuMPMW7YMUoSoAvXQ9zt1jo6QGnNwLjBuyap4m4XbNzQT7Habhkbc7/PoJdmOLPZh8h8apJsqt31h5bM//7fpZ1+VihQZcfESfQrNUmdVoReoIV2P9C4YSTdrhUhV37HkZ0UdkxtYnCQdDKsEfEDF3Zo2jAFSkfEtR+4UuoVSqknKKWecOzYsX0e2fwYBv7uUwwRwUq7xZokQsjCwCAJOsjZCKhJOmfSgmwTSO9Ur9QGSRFasZh1uE+uqsYNIe52py7pu/dWSfJVIgZpjnYcBd3B76c6XdEGSYeWE28labOXFrUc8QyMG0JqkiIBVgLr0ixbvQyrnVgHep6Bzvktvc+uOdBBP8uDa1NCsfV8163ZIMl/klO2oZ9OSYrnVpPUieOiBsMn5a6bZui0IkSmFUCoGmmVpEj8lrv//DaVJH9OisgNAGB+n5rzeBYKe/z71CTZ1zPdjhCyKDBIAnCgEwfd/bZ1IFaF8Z1gp6WapFbk71CXVYKkECXp9KZ9Dybdztfdrqwked7B36lcSA8GBElbvbSoCWtF/hPMcXc7/6L7ZZMmBWgjixA2TbpdiBpmg/XrDtpgfX+DpA3jbGe3H6LKjgZJ/kpSJ9bHUKiiCUyhJGWjxg2AX22f7rU2HP+0SlKuxvt/NZFmOTa6KY6udoK2eRXzVgDPMX8/B8Bb5jiWhaMIkjzS7QBtA76zzw2pCSGkCQZJ0L2SQu5+n7g42l/Ed3JqJ0OtWBDLFEpSElYTBQyVpJsOr4yMyZVynyffAMumGVkV5tBygkseQZJSqjB+AMKUpDRTRaoWAPgKQTuDDMttXVOl1xc2wd026XZxQF3V+W0dJF1rlJwQJeJvP3kSL33nZ72XA4ZK0rUHw9PtrOnA2lIL956bsiZpny3A7c2BtjFuAPyUpJ1Sr7F2HHm1ASjzudPDdDvX76J9m1bJJuOIyBsAfBDAY0TkfhF5LoCXAHiKiNwJ4Mnmf2Kofi9dWaaSRAhZIFrzHsAisNoJc7c7cXE0VS001asdR4jNJCXzmKWnJVetkO0D2rQBwHTGDVGEKIK3krRt7hiW0+1u9wiS+sZd0NaEtWJBN/UMVLMch1cSnNrooROQ6mSNJ4p0ySmaya52WkgC1DAbJFklZ5AqoO23/T87fh8+dPdZ/NRTHu23IIbK0fU2SAqoKThrlKSvfPg6bnvgovNy1Zqk9hTNZMPd7TLEkSCOJEhJ6qbDfjJJHBbkDbIcZzb7RcpqP82x4nAM5OZ9CmOkRpRSz2h46kn7OpDLCHuTwMe4AdAOdzuBNYWEEDJrqCRBK0lBQdKlHVxzoF1Yl/pObq3y04oFrWgWNUkhQVIXcSRF0b3vXexBppC0RDfxDAgwgFK63ZKfkmSVKHsXPrSZ7LqZTa4tJcgVkHusozuw6Xamz1VoTVJfW4CHqGHni9o4/RmG1OTcc2YLG900KNC29XzXTaUkDYOkc1t9bDgaePTSDEksiMz3Zx5KUj/Ni+9gJ0BJSk2vMb182PhtyuWNh/1udtj3GTNKIjOkO/A3bgCMksR0O0LIgsAgCTbdLvUueH/oYhfXH1oqAhzfCWa/ZNwQm3X4TNDt9myQkQVMjk9v9HDNgXaRJuQ7QUuzHK0oCprcDdPtTCPQxC9lzyoW1oI9jiJvJSfNFA6vaHc82+vIR0XY6et0uyLIDVaSTE1SHHkHu+dNA15rwe0brGe5KswSfIJUiw2Sjq11IBKebrfWaeHoAR2wutoA941xiGUaJWmaIMm6Uyax/7kgzfPi+x9q3HB6w6bNmpsdjvvAKkmxr9sDIbvQCzRu0EoS0+0IIYsB0+2g0+3SXKGX5l4n9RMXu7h5faWYYPhObofGDVPWJE2lJPVw7dpSkAU5oI0KbE2Sb8H8diVISuIIg0xBKQVxuLO93bPpeta4QbyNF/pZjsfecBDXrHVweDnB3We2kOUKrofBMN3OKEkBE9xemmGQ6abE2t3Obx3ntnSAsRKoaD54YacITi/uDLC+6perZ5Ws9dUEq+2w+r4zmz1cs9Ypgs2B47HcS/OiJg/QSk6WKx28x373gKYxbrCBmj0X+FixZzlGgqQQC3OrxBVKkmtNknmZy/eNEFe6aXiQRAtwQsiiQCUJKNzRfFPuHrrYxQ2HloKc6YDhZDaJtf1vJL7udrYmKbxP0qlLPRxb6wQHSWmWo90SdAJqKarpdu3Yb4I5piTF/s5waZZjbamFlz3zK/GIo/4uhTuDHMtJXEySQ/oUbfeGwWJIM9kL232sr7aHKX+eQdLnzwzd5HzdBQE9QT+41EKnFWOlHeYUeWZTK5o2sMkc92OdkgSEpRxO00x2qCSFuFSWlKQ4rBmuNb7wTrezShJjJDJDbKBvb+C5spzE6DJIIoQsCAySMGwG6zO52+lnuLgzwPWHloKVJDuZtUFWK/JLtbKpXbZYPFxJ6hSF5/3M7wI1sOl2iX+aU7WXhu8kv6okJZ71PFmukKvh/o8j//3YNc5kQ+MG/wmuDc5XOy0ksX+fpHPbg5Egqe9pXnFPyXL7QlCQ1Mc1JtVvtdPCdkC6zNnNPo6udop0Ndfarl6ajThodQKDfUAHVnFA6mw53a44F3gcB2muiuVCjRvGlCSm25E5EqokrbTjoPMHIYTsBQySEKYknbik+wvdcGipmNj5TpCt6tBu6eV9i/an7ZOklMK5rR6uOaAnuO2ACdrAptsFLmu3C6Bko+32Pqrper41SYWSZ/Z/SG2ZtQD3TRMrY9/HarsVZNxwYbuP9ZWkOI58laS7T0+vJF1j+uwsJbFzPdHYOtbaRcDq+jmWU92AoZIUUpc0yPLCBMSnLq1XUrNCDFhypYrlQvskndnoYTmJcXhZ19e5p9tZdzsGSWR2TGfcwCCJELIYMEhCKUjqugdJD5keSdcfXAq6+wwMg6qkNMHymuTno0GGr5K03c+QK92bBgiboOk+SYJOEgel6gHDICXxTJXa6o/XJPl8BmULdgCFQ5pPXZOtSRKRoHqiD3zuDP7us6cA6LRBrSb61yQdWQlPt7vn7FZh+hAcJK3pOqaVdoydgV+6XXeQ4fz2ANetLRWKnOt76A3yipIUZkBilylMUALd7VrFd9HHyl8hklJNUsDYz271cfRA2zttNqOSRPaA0Gayy+0YvTQPSh0nhJBZQ+MGDGtatjysR62b1LUHhzVJ06bb6Uai7hMk62bXiiMTIPhNrrZKaV6ASfXxVsPyQknyNW6ovv+25wR5e8qaJKtk2bv4IUpSt9QItBWLd4DyzFd+uPj7QKeFVkBd1fmtPg6vDFUY38/wC2e38fibD+NvP3USF03PJR/ObPbxdUaNXE5ir+8RMGxofH1ZlXXcB81Kkv/d6H6aY7ntr8rqIGloQw/4uRzmShXjDunVBdiaLv/aQvs2GSORWTJUkjyDpGRooW+vS4QQMi+oJGGopGx6uHL1SukEoUpSNd2u5Vm0b19r64l8J9cbJkiySlon4C52mim0YkG7FSFXfimH1XQ7O8l3nSRuTeluN0y3G60n8U+3M+mCURRk3GBZabe81cRemmGrn+HIajndzm8MW/1U9/tKYm8lqZ/muLgzKFI2l9v+6TJWlb3h0PKwLsxHSWqV3e3C0+36aSndztfdrlCSQizAS0pSoHGDtvLvFN8lZwtwM86I6XZkhtibFL7GDTZ1mg53hJBFgEESwowbbGF5YlQcwL9HTlVJicQvXcxOhJYSoyT5To4rSlJIup29kx8yOS3efzyabuerJA1rkvz2waAm3RFwn+AOshxproqJddLyT5Uroy3AI69j4ILpkXS4nG7n+xka44FDy4l3kGSbmNr+RsuJf58TW993/aElJJ41Pb1SgAL41yQ9eGEHH/zcWQDazj4oSCoZN4TUpmX5sCYp3Lihj2Nr7aFxheN3KCvdaCFkVnQH+roQeR5XSyUliRBC5g2DJAyDBJ+apLSUqhVFAhF4p7vZdSSlCZaPGrTdTxFHgrZpRuurJA1d1awFt3+qT5oPlSTArxbEjtcGSTbdztWdbbufoR1HRXCQeDZitYqLTfHydSmsWpj7qkAAcN3BTvH3aidGHIuzsxsAnDfpcUemsADvmZqawytJEXS5Yl3VrJK0EqQkDYOklqd5R2+Qjdyt9nW3e8HrP4ZnvPJDOLfVRz/VJhxAQJBUUUO90mZzVShoITcqsnxowOJbk2Xd7agkkVnSHYy6Trpiv39sKEsIWQQYJAFYSfwl/kGpHggwqVaeQYq922vvnsexFOkvLmz1Mqy0jWlA7K9i2KafBwKVpDxXpvFqVEzOfJQku60kGnW3c1eSUqx0hqlWvs5wVSXJN93O9vMoW5j7prrFpcnpqmkm6/MerJJzeCUZWoAHBEntVoSDAUpSNUgKSbc7cbGLtU6rqMkC3C3A+xUlyVfRtMHB//rEg+hnJeMGD3e78hjCmskq2LKqdksH+j7ngfPbfeQKgTVJJkiikkRmSC/NvOuRAKbbEUIWCwZJ0IFOJH534K3aUFYhpne381NCdvpZcVEJseDeqtQktVt+9RDllMMwJUn3pYlKqUb2cRe2ehlW28Pi3uCapKp9s+ME197tLBs3+AaqfbMtrQJE+hjwmGBb5efIajuooW2aaSepTisOSrezTUyvmSbd7mIX1x9aAjAMmN2VpNGapHbsp6Q86roDAIC//Nj9GASm2/UG2ZTNZNXQvCSgGe7ZzWHK4/B76PYZ2GHGVJLIDNHfS//phQ2saANOCFkEGCQZfAOEtFJPFJJqVbirBQZaW/20CBKSlnirGJvVIMkz0Cqnqw0ndz5qnCqCTL0ev2ao2/20CBIBvf9yBee78OPpdn4T3CJIag/T7XxT3QZZjmd/zSPwnp/5pqGNuEegZZWk9ZV2YaXuY55hj/lOYE1SXbpdmiuv4+ihS8Mgybcp75iSlPi529ld/Yn7L5pgMcDdrkZJ8vkMslwVNwraAWrgdn9YW+gbZNn3SSGJzJJusJKkr0W+bQQIIWQvYJBk8C2YHptge9p3A6NKDOCvhGz3syLdbBolKdS4oRwo2smltX51YZDlhXKgt+9nAb7Vz7DSGVWSAPeaokbjBsdUK3u3c3mKdLtBlmMpibC2pJuA6uPIR0kaT7fzCdTs591uRTgcEiSZJqb2GCruBHuoSScu7uAGqyQV6XaOFuDp6B3rIsjw6BO0vpLgqV96PQDgOjMOXwOVTqEk+TeTTfPRZrKAnyJrj7mOseL3Wb4IkhglkRnSHeTejWSBYfPZnX64AQ4hhMwKNiIwdHyVJJMqZjvV+5ouAMAgtYHW8C60z+Rsu59iJbEBTuxte7zVSyEyzAP3bWRZ1FS1oqA0oUGWF6YVgL8F+E4/LerJgGF9mI87HVBXk+RoP50OVRi7Ht9msv00L7YP6Po0n0Dr3NYAq+0YnVaMbqy33feyELfvQafbbfezEbe2SZzd6heNZIHSneB+hkPLycTlB1mOUxs9XH9oGQD8LcDTinFDoSS5W2Cvdlp4+bP/Be46tYFWFOEP/u7uYHe72DNlEzBKklSUpJDavlZUBGmuyyum25E9oDvIvBvJAiilDDNIIoTMn7kqSSLyRyJySkRuLz12RETeKSJ3mt/r+zEWXyUmzYZ3fwE9OQqxAI9kOLHyd7crKUmeQR6g+0KttltFoOefcmiCvEiGBfMeSlJ1H/oqIVu9rHDmA8pKktvyVTXQtyapcDi0SpRnI9g8V0iN8YUl9rYA72N9VQcpIRMM+3l1WhEOreigxkdN2uylI3VhtmfUtmND2dMbPSiFQknyUQOVUjNRkuz375HXrg3d7RzVRKUU+lmOTsXdzuc4yKZWkobBvohOfe25ptsVxg3OmyNkIqHudqHmM4QQshfM+9L4agBPrTz2QgDvUko9CsC7zP97TuKZajaoTPB9TRcAnW7XGpkg+ypJQ+OCdize/XE2e4ORIKPjnXI4nJz59mfRy48GCDbdzlUJ0TVJwwm6rzud3V92DJHn8jYYs9vVzWT9jS/Kqk3iaf5wbruP9ZV2sSzg1yfJ1pDZPkmAX5CUZqNK2HJiawrc0u1ObeiapmvXdE1TYd7hcAykuUKuUKlJsi6LbtvPcjWiotjP0rWuLc0VVGkMw2ayHjVJSiGOK0FSQF2Z/fx9vsfDmiQqSWR29NI8SEmy1xEqSYSQRWCuQZJS6n0AzlUevhXAa8zfrwHw9P0Yi2+PoLQS4LRCapJSVdz5BuDtbLbdS4s73yFKklZihkGGb01S2XjCuor1PGpRBllea9zgOsnf6tcrSa7pamlNTZh+3E9JKpSo2C9Vzr62XQmUfY6B81tDJSk2/bp8juNuSUk6aOqiNj2aKts+WRabuunqTtWtml/E7mpgVckD/JWkXKmRehwbMLkeA+WaLsD/GARGA7WQdDv7edtlfb7HSrGZLJk93UGYcUMScPwTQsheMW8lqY7rlFIPmb9PALiu7kUi8jwROS4ix0+fPj31RkMChPIEP6SZqw60huuIIr+C8a1+htUpLMA3e2nhbAcEWICXJmc2tcK3rmukHsfTAlxboJeVJL+apP6Yu52fcYMdZ6vU58mnJmmoZJUVSTHqhNsYzm8PsG7S5EREG5CE1CQlMQ4s+TdVrppv+DaDHKvrKurSXJQku//LgbYOFF1rksaUpNhPTbTbsQGKiHgrwmmWD9XIwNo+YBio+ZzLqCSRvaA7yMPS7agkEUIWiEUMkgqUninWzjaUUq9QSj1BKfWEY8eOTb2tEAvwVlRWgfz7JA0qqUo6Zc99DDv9DMvtMGc6QBs3lOtJQuqyANMnKajgXI2oAMN8dLd6lK2KBbiPCgHU96kCgMxZiRq1cE+8laRhwb3F13zi/NYw3Q7wV0T7pUm+DZg3ez7pdqNK0rJnY+bh9itKksN7sPuorIKIiNdxnOWoVZKcA+1CSRq1ondthgvoXkX2PXSCvkejx7HPuayoSWKQRGZIaDPZkF5vhBCyVyxikHRSRG4AAPP71H5s1NcCvJpmFEch9s9qLNXKdRX9NEc/ywslKfGcHAOm6L6kJPnWZdmJWCsWb1cxQAcz7dI+bHuk23UHOZTCiJLU8q1JKsZfcSbzTLez2/UNcvuVIM13DIMsx0YvxZHVYZCkAzUP4wZTu9NJhkHShoeSpL8H40pS11FJ6hdKlv9nUASplVQxnxsWuVIoDd9bTayqOIA2MnENtAGjKE9h3NAv3awA/G52FO52TLcjMyS0maxV1X2dWgkhZC9YxCDprQCeY/5+DoC37MdGfS3Ax1WggJqkbDTdzmcdtuZjpdTjyNsCvJ9ibWlUSUpz5V60Xkq3C62lqNZ12cddxg5gpCbJN8hpTLcL7bMU+9UT1dUk+QR657dtI9mh1bZvsFxOF7PHgl9NUo6kNMG2yp6zkmSNI+JhyiLgZtwwVJJGT2ORR+prk3GDa5BTNU2w6/BzORxuN8jdrpLyF5Zu57w5QiYS2kxWpwz7N+UmhJC9YN4W4G8A8EEAjxGR+0XkuQBeAuApInIngCeb//ecaS3Afe2f7TqqKoLrJHvbdCS3k1LfIA8Yt9D2ddYalArn7bKurmJ2+VrjBoftb/dGG7kCpXS5gCAPKAdZfhPMYbqd32dQTZPS63IPEi5s67S49RElKUI/9evxA+gmjlZV9KlJmjbdzlqQl/sMibh9BlmDkhRHgtxRCWoybnCuS6sJdJPYT1G0PdeAMHe7Ydqmv5X/0AKcURKZDVmuMMhUkLsdYG70UEkihCwAc20mq5R6RsNTT9rXgcD/DvyYu11ATVI/y8cCLdd1bJkgYWVK44Zyul3ZxtvlLuCgdBe9Yy6IvkpS2TiiaITpECBYBaKTjCtJrp9jNd3OfhauE+xBpSYm8VaS6o0bALcg4dyWVZJKNUmtMCWp04qRxBGWkshLSaqqgd7pdrXpam6pq3U1SYDfd7GqJEUmSHNVU6tqoh2P63GglBqpSQrpdVUdQzt2V5ULdzvWJJEZYb/7SwHGDYD/OYwQQvaKRUy3mwtzcbfL8pHJoU8jUdus0xov+NZUDbIc/TTHgfaoux3gHuiUJ2c6UIoKdcOFqhpnUy1civbr6lH8a5Lq0+3cm8ma9x/ZdLvAmqQR4wb393BhezxICq1Jsp/9gU6CDU8L8HK6XTuOEEfi3Ey2qEmq7AOvYyAeneBH4hckVVWUWNy/y7WfoWe6n90mMAx0fFJn+5mCCEbqmnyMKwAaN5DZYYOkkJokwF+RJ4SQvYJBksE3SCoXWwO2x5FvTVK1Ia375MqmM62U+iT5TI63eramZ7QmCfAJkoYF4yKChx9Zwb3ntp3HUK3rsutyeR82kIkrShzgXpM0GAtyPJvJZqOT9CTydLezAUJNTdLAYQzntmy6XXhNUjVIWVtqBaTbDccvIlhOYuz03cZQ1EQFBBlZpZmvxceCO1dqTEXRBiq+DYnLx6H7ucC+T2s93gkxbkjz4jto1+HTJwrQ7QcImQW9IoU3LN2u7ZkyTAghewUvjQb/HkGjk0Pf3ih6HflYmo6vklQ2bvAxXbAOZtU+SYD7BK3oU2MmeI84uoovnJ1FkDT5PdjJXTVQBfyMF+JICiXBt5HoUM0qKUmexxAwqkLEHjbk52uVpMA+SSZd8kCn5Z1ul1SUnOV2jJ2B2zqqfYYAj0B5l5okr3S7uuUd92GT+YbrMZRX0t2CjBuyfGT7Pucye76gkkRmxTDdLjBIYrodIWRBYJBk8DduGJ0cJgHGDXUOea7pWlZJWi0pSYB7wffQHa4mSHJcR78ywX3E0RXce27LuRFqNWURcE+1KO7Al4vuPdPl6lImAX/jBxsktkL7JI0ECFZJmrwPzm/1sZzEI5ORtmfRc9U44UDHU0nK1Ui/MABGSXK3AG+XVBDAPcgZqomj2/dRgjI1bloQi4eSVPMZ+tQWVo/jUOOG8nHs1SdKjX+PCJmG7mBoBhMC3e0IIYsCgySDdzPZyuQwRElK89FJeuSjJFl3t5JxA+BeyzBMtxudYAM+Sjp7fcYAACAASURBVNJoutktR1fQHeQ4tdFzW75S9A+YC6TD9rOKilMeh2ugWdfMt7zuictXlIx2HHk1EW2yj3Ydw1Z/1J0Q0A5nXul2WYZWJMV2Dyy1vGqSrBpXZqUdezWTrdYuuKqJu7nbOafb5QqVOB1xLM6KbH2vK/eeaXnNMQS49QqzVI9jn9Rh+zapJJFZ0U3HTXV88K2vJYSQvYJBksFXSaqqELqRqKe7XTrukOe6jq2KcYO9A+06QbY1I2UL7aGNt79xAwA8/OgqAOCeM1tOy/crFuh2XaE1Sb59ksbSHT1rkjJj3WxVkFYUQSn/Pkt1fZJc1LC8JlXMu0/SYNQ8ZK3TwmbPz3yjqgYuJTF2nN3tspHtA9ZOP0xNBIwSNE26nYdxw7CZ7Kiq7NrvrPoerAW6n5W8GtmHYel2zpsjZFesOk3jBkLI5Q6DJEMSR8g9Jrhplk+tJFVrCfxqkuqVJGfThXzclcvf3c7U1Jj9cMvRFQBwNm9I8/F6lsQxZa3O/jnxqOcBgEFaDXQ9a5JqemUB7oFqbZ8k8x6c+gSp8VQ335qkfjaq5BzwNW7Ix9XAlbZnul01SHK00J6JkqTUmIri02ep0QLc193OfI4i4n3Dpl+tSYpj72ayTLcjs8IqSaxJIoRc7jBIMvibFow20WxF/nnUdevwMW6IIykmuN4BTk3BfMezHqLaxPLGw8uII3E2b6g20wV8ivbHnc28laR8VEmyk2VXFWBQGX8S+ytZQMW4wWMd2r569LF2gJLUKTV9tMYNLnVlSummkckU6Xa9miBpmmPA/u8a5DQZNzjXtaVDh0dLEkXOyw+DlOFj7ZZ7nyM9hmnS7WjcQGZLtVbVl5Cef4QQshcwSDKE9AgKdaYr1pFW1+GesrfVy7DSjotUL9+C77oeM+3YryFsYVxgZupJHOHm9WXcc9Y13S4f63HjehexTkXwtfCuBjm+SlKWj47fpi469wiq9GkCSmqYY5A0riT590lqV5SkQaacJunFZ1CZDC0lsXsz2ZqapJajCUpWcwwDnkqOGu+TFHkYN9jvW6tSV+ZaF1dVkgBj4e1r3FBK97Ppdi6B7tACnEESmQ1pNn7jwAfXbAJCCNlrGCQZ2maS4xxkjKVa+dckDfLxdC/XCf5OPyt6JAHDC5JvI9ha4wPXdLGaSf6Nh5Zx4mLXafm0kiak1+VXtF+vJLkHeVXjDBE4F+0P8tFj4OCy7le04ZiuNuyTNPwc7XtwDRSrc9vE092umm63ZtwOXWzAm5q5LvvUJNUoSdr4wKcmaXR5n2ay2rhhdPw+7nS1dWUeTpd1wX5Iul0SqAjbl1T3ASGhVFtD+MJ0O0LIosAgyeCvxIybLvgqSb1BNpLqZNUolzvAW/20MG0A/Mff1N8F8KnJ0UFG2b7ZRwnKFWqVELfJ3fgE3cf0ADDGGZXt+5hnVOvS1pb053Fpx834oJquCPipYXWpYknLs0/SIEcnGVWSADjVJdn9lFQ/Q49JTrWeRq/P7btka8+qNUk+38VM1Rs3+AZJY1b+jp+B3YdlJcdn/9kxjKTbedwwYTNZMmuqtaq+0LiBELIo8NJoCDEtGFGBHK2ry/QqqUZ2sucyQdvpZ4VpAwB0fO27a9KEbNDnY6EdahxQFyDY5UMbidrxu05we2k+1svDJ20yzUZryg4ueSpJDRNsu+6J28/VmIriXZOUjgYpBzr6PTgpSTXHEOAXaFbd9ez6XN8/MF6T5GOln+fj9Th+xg3jqUU+abN1SlISu9c0AeMpiz7nMtYkkVnTdF5whTVJhJBFgUGSwbcep1oPcmg5wUYvdU5VU0qNBUk+RfvVFBvvIG8XJcY1H7y+Gaw47YMiQKgJsnxqkspBgq8S1kuzMQcmH/vntJJut2aCpEtdNyWpX6OEDN3t3OpJqmn/vjVJeoI9atwAuAV69jip1iS1PIwLetno9gFzDLi4+zW427W8jRtGH/Mxbhg6FFYaSzt+BvY9lIOUVuSmplqqtXX2nOJTV8Z0OzIr6q4tPvi2MSCEkL2CQZLBTnJcT87VLvdHVtsAgAuOqVZ2ElRuuOejJOVKjd19BqZzt/M3PhgN1PQ63O6ip1n9hVQ3k/VQEaRuH7jVw3QH46YBXkpSJeXy4LJ7gAEMLeDL6YrDZrJualpVSfLuk1QxbrApg241STbQrbNxd7dBD7UA383dzse4YUyJEj8L8GrKqc8x1Kwk+abbDZe36ZMuQVLRTJbGDWRG2GtLaLqdTtmmcQMhZP4wSDL4NlKt2ncfXtFB0vmtvtPydjvlSbq9m+waZJQnNr7NZIfFtTU9ejzMK8YtvMUpUKtLNbP/u6kIZoJc+gyskcWWs/10NqZi6CDPPeWyVklyDZTT+j5Rdt2T0KYDo49Z4wuXujZgPOXzQGHcMPk9pE1KkodxQT+taybr63A4btzgar6R5+N9knzGX3ejIPEwcbEuevFI2qj79oFxVXnJHNMuDoNsJktmzbTGDQnT7QghCwKDJINPuppSaizd7ogJks65BkmD6ZWkWMaDJF/jhtE72P59fsaUoMgtyLApGdUgwbWmpq4mqdOKEEeCLQcVBNBKUn1NktPi+hgojX+1HSMSPyUpqVGy7LonkebjNWHDYNk9Xax8DK56pduNp5oBOmhxNSDppXlRT2dJHIOEQk2sqYlytfDOaprJ+rjjVVPdAJuu55puN66GJY7ufsMxjNaV+ShJdUEaIdNQV6fnQ9LySzclhJC9gkGSwU4yXCYnw4vAcGKxvqpVhPPbrkqSvss7WpPk1yOnPLGx43dVwuqUnMJC23WCXedM1nLrcVGkZNQpSQ7pdvYOeHkfiAhW27FzkFSrJEXi0Ux2NEgREawtJc41SU0qBOBYk5SPu5L5po1WjRts0GiD+N1IG5QcHzVMB2njFuCu3wG9/XHjBtdjOK9xCPSpaaqqOIB7kAeU1LgRdzu/PjHVlEUvJYnGDWTG1B3TPnTMjTJXNZwQQvYKBkkGHyWpLlXN1iSd33abINel2/koSZkaDRB8jRvSTPfYiSu1EACc0t3sOsadzVyVoPF9CNgJYpiSBOh0sc2ee01SnZLkM8GtqigHl1vOSlI/VWNB5jBQdVMB6twFAZ8gKRsJUoq6Lg/zjfGaIPdgv8kC3K9P0riFt2uQk6vxAMEnyNK9vqaribLbtGjjiymMG4wy6FSTVGMcQcg0NNUKupLEEZRyr40lhJC9gkGSwSddrS5VbT003a413kjUJV0ty/NaJcnZeKJiOgCUgjRnd7vxu+iufZL6qe3TNG4B7tMnqXohXu20/JSkqrudZ9F9NUhZ6yRefZLqTAsAx7q0XI0V3PsEOcB4TZJPkJXWKKrl/12C7VrjBkcL8KxoiFwJUjybuVazgnyUpEGmxlImfYKceuMGPyVpkNY3k3VTkvRvptuRWWFdTyUw8E48U8cJIWSvYJBk8JscjqeKLSUxlpPYw7jBpNslgUpSpb+LtwX4LirGwLUeI1e1gZaPM1mdEuKnJI0uv9ppYas/OUhSSmklqaYmyLkmKx+vyfJRkqquZECpV5XDPsgrFuRAOVh2N24oBylxJIidlZx6NdCn11N9kORW17arkuSh5FQDTZ9joC7dzqdPVGEBXlWSHNXcYgylfmPW1t4lSBpakDtvjpBdSWu+Ez4U12KHtGtCCNlLGCQZfGp6igl6ZYJ7ZLWNc841SePpdrGHipBX7oB7p9vVTPBFxAQ57jbiVSXIWoBPyicv6rpa1SDJ7S76cHI5+rhOt5scpNRZsANGRfBpJluZXU5bk+RzDKQ1zmx2suzS2FgpNdYnCXD/DIrPsFrT4xjoZblCmqvx7Ud+x0A1UPYxbtAOgTUW4K6BclrzGXoqWUC1JsmvmeyYcYOHU2euFEQQfNefkCrV/nG++JoQEULIXsEgydDxCDKaGqGuryYBFuBldzsP44ZKPYq9KPm421Unl4AO/Lz6BFXd1RyL9of7cDxdLMvVxEnqsDi4qiS5GTfUBamArqfxc/cbXf7gUuJek1TjjOblcFgzGfFRRItAcSxQdbPgbbIAH6bb7f4e7DZqlaQpapKiSJxTRuv6JPkoQYOamqTEI92u7j0kHs1k0yxHrsZVbQDoORo3sJEsmSV1N398sN8nBkmEkHnDIMngZdzQ0Ah1faXtbNxgU2FqlSTHu+jlFB0RQbvlVs8D1E/uAGu84JpqVFOPUbiz7T6OtFFJcjOPsA501RuWuiZp8uSw2P81SpJfTVJVSWq51ySl46YF9phyU5LysQm+T01SU6DoasM+aOiHUhg3TDiOiiApMF2tyd0uFjclSSkF1WDc4GMBXg0S40iQKzipUXUuja41WXb7wGig6WUBntO0gcyWOkMfH4bpdgySCCHzhUGSwasmqaEW48hq28MCXK9jKbgmabyRaMejCV9ao4IAtpGlY9H/IBt3JnPMJ7f7ObSmRitp48XBBxxrkqxxRrUmKfJxt6upyTq4nGCznzpNkKu1JEC5oa9LryyM1dP41CT1G4Ik17qwrEi3a1KSdl9HL9OBaq1xg2O6ocj4Pohjt15XTeYf/hbg9cYVLoFanUujT0NjGwwHN5NVaixllZBpGNRkGPjg2xidEEL2Cl4eDT5KUlMtxvpK28PdzipJoe524wXn7ZZ7kDTIx+2rAb9Uo41uioNLrZHHXCfIdX2aRpaf8D7Smv42gLu73dA4Y7o+SdVj4OBSC0oBGw5jaKpJEoHTGHS6Y7UeyL1PUq8h3c21T0/aoCS5Bno2UB13+HNrRpvVvH/AKEku36GGRqo+gXL9Z+gT6I5bcLvWZNntA6MukUksiERb3E/cfk1NFiHTUNcawQdfh05CCNkrGCQZWmZy6nJibqrFWF9pY6Obek1Q69LtnOpRamoJvIKkmoJzwM++eKM7wMHlZGx5YPIEsakre+J4FzGrMU0AtJI0yFQRBDXRbVCSvC3Aq+52S3p/uKTc9WvS7QB9LLo4DOY1qVI+qSr2WKlraOtjhT/u0OcWqDXXRLnVtTUFyq6foY2jqvvQxx2vapoADMfv5NBXU1vnquTZ7dtlLCKCTiue+B0AjLsfgyQyQ9Ka9hI+2O+T67WMEEL2CgZJBhFxnxw23EE/sqonyBcc6pLqjRvcg6S0ZoLuOv6m5QH3eog8V9jopVhrUpImjMNOIMdSlSK3u4iNSlJb789JdUm7K0nu9SBxJa3k4LLeHy7mDYMsH6vJAtwn+XVKUkgz2KqS044jpyCr2cbdra6qKd3Pta4tazAfcd1/QyVp9HEv44Z03HzDt7YQGHVp1MYVjul+DYHuUhI5K0lVRZqQaRg03MByJfFIGSaEkL2EQVIJ15qetKEWY33VvaFsXZ8kLyWpxv7ZtZEr0OxA5DpB3OqnUAo1QZKbEtSoYrTcVIRsl3Q7ABNT7obNfMP7JKX5eD3KmlWSHGzAB9l4rypAH1dONUH5bGqS6pQkJ+OGBgOTYbqZ2zHQ1FB3KiXJoR5o2CNoPN3OR0lqNi9xD9RGlSRxasRrtw+M70NXJSlXbCRLZsu0fZJYk0QIWRQYJJVwTVezk7/q5HDFqBg7DgXTdZN0H2ezOuvitodxg66nqTNucCsat0qJDQosrncBm3pN2eUnTbD1BHl8/AdMkDSpV1LXTCCXKkqSV7pdjZLhk25X10wWsMYDbimXY0pSy03JK7+mLl3MqSapKWXSsddTURMVV/s0ufdZqq1JigQuMUadsxzg12epzrihaKYb2BC3FUVQyu1mST+t/wxclSSdbjfxZYQ405Sl4Ir9PjHdjhAybxgklXC+g57X12LYO9Iuk5temqPdikbc2WKfPkkNSpKL7S/QbNOqm8lO3v4wSBpVklzrUZqNG9zSxep6BAHAypRKkuv7B4yLU2UfLnsEys1qnluvpjRrtgD3UYJCa5JsEDAWZBRBjmO6XTKu5gGTvweNSpK4OTTuZtzgnnJZY+PukW7XZAFu1+2yfQBoV1wSlxJHJanmPELINDTdgHOFxg2EkEWBQVIJbyUpqp/cudgH99KsdoIOOCpJNUGCt5LUaAHuEiRppaSqJLUdU40GDSmLrkW7TRPkAx0dpEyjJLnaP6c1ufc+TYn7jeYZ4mSeUZcq5VP0PAxUw9I2mz7DYpI/IVDpWwvwwGa0Te52kelTNMkdzwYodcYNPnVpYw2BvXpdjQdJba9At/5mQ6flWJNUo0gTMg3T9knqMN2OELIgMEgq4dqMtbkWw/0Oci/NR0wbyss72RfXBAl+NUlNFuBu67BKUtUC3FtJqvYJit1UhKxGxQHKNUkTjBsalSQ3FUcpVdsnya7PRdHrZ/lYLQngXhe1WzNZp5qk4jMIq0lqSjtNHB0Om2uSPFIuG9RQQAeRu9GkJPnUpdW5RA4VYZfv8bgaVwRZU9SVdZLYqU8Sm8lOh4g8VUQ+IyJ3icgL5z2eRWBQc170wUcNJ4SQvYRBUglXJWbozFaZHImHkjTIp1KSdBPIGgtwZ3e7+oZ/iWM9zKUGJcmuc6K73QQ1LrRof7Xtlm5nJ5ChNUn2NeNKkl6fS5DUFKi6fgZ5Pj7Bd3UXBIaT8NqapAnNgIHmurLhJH/3MTT1aRoG2pPNO5rc7fT4Jtc0ARiz0o89jBvqGgInjsewHoP+XW0mC0xW4uz2gXolyeUYZDPZcEQkBvAyAE8D8DgAzxCRx813VPMnrekf50PiocYTQshewstjiaQVoe9RsF6dIPu40/XSLLgWw75mrE+SV7qdarSfdrmDfalBSWo7utM19dixk73JSlJznyRgcrpdXZ8qwPQocqrHqQ8Q7Gc6qR4kyxWyXI2ZFgDun0Ga52PHgGufqfJrwt3tzPLVdDtP44bxPkluFuBNgbJVRibFGEWfpBrjBp9mstUg0+97PK4kFcYXDseA/R5V9+GSo5JU12+NOPNVAO5SSt2tlOoD+FMAt855THNn2nS7wriBFuCEkDnDIKmEtgB3K7gHapQkryCpOd1u0uRIKVVbj9JJIifDAMAW19apGJHTHeymmiTXVKlBlpsGvvWB5qQxpA0F584W4A0T9OV2jO2+xzHQUFPVm1AP0pRuCNiUv92Xt8fANBbgjTVJrsYNmXZGGwsyHIOcSRbgk74HTQ2FXd3lmvokRY51aVmuP4Mm8xG32kL9uxyo+JlvNCtJLjdM6gxgiDM3Abiv9P/95rECEXmeiBwXkeOnT5/e18HNi8GUzWQ75saRS682QgjZSxgklXA2bmhQEfyDpLAgq0gTqkwQ11faTo1sgea7fa7pZhvdFK1IsJTUTxAnN5MdL3gHhkFH5pJqVTP+ditCO46w2Z+cbteKZOxivraUYKM7mFj0nzUcA1EkTkFGU5Bl1zkxQGhI9/OZYE/dJ6lhMuTa56hwt6uoaa7GB41Kkq1JmvAWmvokWSVp0jEw6WaJi/lGlueQSqDpmm44OoZxdzsXJUnVBNpkdiilXqGUeoJS6gnHjh2b93D2hTRTU6bbWSWJQRIhZL4wSCrh3h+mvp6msAB3uAvdHdS527ndgW4qOD+8kmCjmzrfgW6yn3bZBxvdAdaWWmNKUOI4weun9cYLPvUkdX2SAGC1EzspSdV6JEBbmg8yNbGeY9CQcgkYK/YJSlJTkGXXGXoMxJEgEj8L8KqSk7Tc+yQ1qZH2+d2wk6BQ44Ymdzv72KTvYd6wD9dX2lAKOLO5e1PofkOA4utuN5Yy6ajEAc2B7lISoeuoJDHdLpgHADys9P/N5rGrmjSbTkkqbvRQSSKEzBkGSSVclaSmeho7OXIp+u6lOTo1pgGAw+TO1lJUJjdHVtsA4KQmNQVJSexmP73RTXFwORl73DXVKs3Hazns9vXzYTVJgE65257gblcXpALDGitrTNGEfX91kwFdNL/79ncLslpxFKwmAu59jnatSXKcYNcqSbFboDuc4Nd/j0LNOyKPQBsYN2541HUHAAB3ntrYffsNfaZaju5+QH1TaJ8+S02BZqcVo+fibqcUGCMF8w8AHiUiXyQibQDfC+Ctcx7T3Bnk9YY0rgyVaAZJhJD5srBBkojcIyK3icjHReT4fmyz3Yq9mmhWJ4h2suVyB7lXqySZIGliqppVssbvgAPAhe3d74DbMdZN0H3S7aqNZIGSkjTBHW2QNjQCdZwg1tlfW1bbLWxNSLdrVpJ04Gctzhu3v0uQ4+IstluQFTuYRzRN8AFdU+TiTrdbTZJLXZoOtHepCXIIcoA6hz63QLvR3c7RuKFIt6ts/1HXrgEA7jq1uevyTUGma5AI6LTSqRoC27quQCVJsU9SMEqpFMALALwdwKcAvFEpdcd8RzV/0qzeOdUVETFOrTRuIITMl/FZ7mLxzUqpM/u1sSQWLyWpOkEuaiEc0u36dTVJjipKkyuXDZLObU0OkgZZXutu52rccGlngLXOuJJUTPAciubrlSzHlMOGmibALdBrVJKW9VdiYpC0S7pcJ4knB0lZsxLUiiYfh7sqSY79sprso3VNklu6Xd1kyFVNzHIdZFVTNn2CrKb9B3ik21W2f93BDtY6Ldx5cvcgqVEJ81CC6pQkn15XhapdoyRluZqY+kTjhulQSr0NwNvmPY5FYlp3O8DPqZUQQvaKhVWS5kHHsc9QU5qNnWyFutsVkzvXepTKdWh9VQct5yek2ymltAV4wwRzkmkCsJuS5JZPXtcMF3Avem+aIAPG+MDBfrquketQSZqQbtdQlwZYZ7HdU53s+GqVmHhyQ9vd0+3cbMyt2lQXJFmL8l2Xb2jo62rc0PQZuiopTeYd9uaBi/kHML4PRQSPvO6As5LUWFPlaOVfvdni2mcKGAa61XVYQ5VJalJG4wYyYwZ5fSq3D67nMEII2UsWOUhSAN4hIh8VkedVn9wLa1WfZrIi9UXz+vnp+iSFTpCtknR+Qrrd0DSgvp5k4JRuNxiz/7bLA27OZPX1OO77oClIclWSmowbgMlKUlNdGmCMGyYGic1BljZucLWvnq4mKY5kXMkoel1NVsN2VQOdLLyba5omfYZNQZYdkquSVBckPOraA7hzYpDUUJPkkW5X9x6KlFUX44eGMdhje1JdklJq7GYLIdOQNljz+9B2VMMJIWQvWeQg6euVUl8J3c38+SLyjeUn98Ja1ce4oc662U52nIwbBjmWxpQk90aqenujY3BNt2ua3NkxuBo31CpJkVuqUNZQU+TqbLbbhbjlECTVWbAD7kpS02cAmJqkiX2SmmuaXJrJ7qYktR3T5ZpqitqOSk5TXVgcCUTCm8EWStTE70G9u11cfI8mBar6d91h9Khr13Bms4fzu3yXZtEvLa/ZB67fAb0N/Zrqe7DH9kQliel2ZIYopfQNsKmVJKbbEULmz8IGSUqpB8zvUwDeBN3dfE9x7Q+j8/ybU8VcLMC1u13VQtys39n+efTx5XaM5SSeaNxg64XqU70mp6rlucJmv97dbmgBPjnIqZ0gu9Zl7VJwHjtYaPemVZIK44U644Z4ortdYfzQ5DA4pbudiztdv9Hh0C3QHewSqCYOVvJNDoUtxyCn6Rgapr3uunhjTRIAPPJa7XB395lmNanJAjzxcLfbzQLcrVeVqq3rssf2pF5JWa6YbkdmRpFGPK2S5KiGE0LIXrKQQZKIrIrImv0bwLcCuH2vt9tu6VqQSUrQbs5wwOQ7yHmu0M/GlQwRMaliu18c7Pjq7gCvryQ4tzWpnmYX+2kHFWOrn0IpYK0zriS51hQ1pcsVRe9On0G4cUOTknSg3YKINqbYdftWjWuqSQp0KAS0EuKsJtYcA7rPkVu6Xb0Nu6OS1BBkAXA6jndTovT6XYKsZkXX5XsI1KfbHTDB8na/OchocpaLPdLt8lwVr7e49hoDmveBPbYnKZpK1R9DhISw280fH1xvWBJCyF6yqO521wF4k7k72gLweqXU3+z1Rm0Bdj/LsRSNqwyWph5DrsYNdgJdNW4A3FSQ3VSE9dX2ZCXJ3gGvCRK0aYBbqlid8YGImLuAk9Ww3VWEaWqSIqT55D5JdUpSFAkOtFu4NNHdbhclKZmcbrebO17iUpO02/KuNUlpU02RXuekdJe0wTjBjmuicUODEuVakzTJ/MPZAKWu15LDd7nJWS5xDPTta6pBjqs7oB5Dfcqh7cHWnaBoZqrewIWQEHbLUvBB1yTRApwQMl8WMkhSSt0N4Mv2e7v2jnA/q++hY2myOI0cJ2d2Al2nZLi4yzX1lwF0Q9lzrkFSzR3oxCFIs5O3pjSdlkND2klKkks9zG41SZPUwCYlCdApd9P0SWrHDn2SiuXrlRDXmqQ6NdH1Lqy2ga83nrDPT1y+Qc1LHILtrEZFAdwNTJoVXbP+CWmvu+3Dor5wl3VMqklysgDP1Vg9kas7oF2+7lxk6x0nBeusSSKzZLfzog+u7TgIIWQvWch0u3lRKEkTTs6DvL5ZXsthYgWgqFep1iQBJk3Jtb9LzYXo8EobFyZYgBepYjUT5DiKoNTugV6hYjTVozhYWDf12IkiQST/P3tvHibbWdaL/r61au65e3fveSd7CBkJQxIkgCeIoHBAURSuEwLXq94rxwGO93o4R+5BverV63DVi7MeDgoCj94AyhAhDEEDGcy8SUJ2ssfeQw+7e/dYw1rrO3+s+lZVV3/f+7419LB31u958iTp7lW1qmpV1fd+v0nAAjj8KIDQk+QokwXi8AY2ApwogxV5kggmSuILo1gQaXBDt54kqg9FItsMInsASrdsoi88nnofSXxNLk9SgwnqTC4nTQcE4tfIGh6SRIAL0u1SJilFj5BUI/QiuCGV26VIkWKLkQ5JTUiYJAELYJMTSHfADctgk9tJktkoP8poKStItyPipwXBC5TcD6jvAnbIJJnz6rRjJz6e98NUaqFVLgh0zyTls+0wSXbJIRt/TZTRinuSuvQk1YgUK0khLduVJWA0rQEqQtmreXi295F5a1DXUdKTtK5nSsaGAvFjbGVk2zneEalYZAAAIABJREFUFPK2osEk8XK7lElK0SuYRMreyO3SISlFihRbi3RIaoLYsB7ZW+zNYoOXesULF9siPfbTCGVCDibp0mqNlLtRHT+SQluOSZLEiLtM+0A8qPHxzd0xSTXCTzNQyGCxwjFJbk9QXhAlnxzvkNtx1yCVzCaNz605e47qniRJcAPZVdXZNdC4Bju7BhoDjvR9tP53DV+T+3iX3M5sfnDJckD8Oq4vk5Wn27kS/hImiZHbRZFdbpgiRSegSrbbQS4NbkiRIsU2QDokNUEst3MYziULK6CZSerMk2QWyLZzGO2Lu5LmiXS2ILIv7oAmqRBxDpQnCjDpat0ELwiOdwQ/mOMlyWauVK9YbseVyboXA7Hcjh8wAIfcTnD+yWtgC24Q7sKyPUkCNowMbhAMKVSUvsSTZHsNpXI9kdyO8iQF9kHZ9xSyvmKvAYAuk5UGP9jex9KuqzhKn72bFClESPrfumSS0p6kFClSbAekX49NMEOSZIFrW5iYtQ63A151RAcDMhYkIJik/nos90qFiC4mdOONBVoXcjuPX6RTQ07WF0RgO7wY5rzY4APCi9GO3M46ZGTi86fYtKRPxOpJ8tjzN2ylbUgQe5IChycpCW6QyN0ccjsRm2h/DRMmiXsNHddAu8ENdrkdzwqHyWbF+nMoZHwZk9RlmSwXo875I9PghhS9BLUB1w6yabpdihQptgHSIakJzRHgFFzRx0nPEbMwacjd7J4gaU+SbXFnwgio4IDk/jv0g3AJRpJ0NZdMyJwDl4xGxk97ilwcaq2htVtmZIIbNHEb1KCYFwzb5vG5hgRxBHi3niQLmymXnbrjo+OEw84iwNtKt7MyUfH5c7JXc43YNhskviaKUc1nfVbqFt/G+iGnIXeUBTe4+s6az9GFSKdlsil6h16l2+VSJilFihTbAOmQ1ASpzIiKPvaVYuV2ieHb6kmSyZTM37bCLNCpBRrVk2QeF7VAbsiU7M+BZIHsklrF5yA7nu5J6mzAAWImqRZqcsipETumkiGpRiwmMr5CpBkWg2AT5RHg3XqS3MENGd9jr2MXC9IoVe4w+EHJBgSKSUqks9SgHEZr/rYZhazHhiaYc2i9f6VUPR1QEtzQXR1BpNMy2RS9g8un1y5yGT78J0WKFCk2GumQ1AQxk0R4MSSGdVd0MBAPKazMiPBSGMM2xSSRyWqCIs+AYDHi2+AXyKFDagXEPhtRshmZbsfLpFxD0mAhliwuEDHgdLpdzOZRO6FUGayEBQgJX5o8uIHxJEl6kgg2TxK8QPnKOr0G2g1usIc/SOR2jXNtRT7DJxyac+g0Bh4wZbKEZFHwHKREUopeoZeepDS4IUWKFFuNdEhqgjQCnIo+jock+n7M7dv9ILxUimaSjNxOwCQ5PFHx31AshnsHHQByvuJN/5GG63s0yzBBUaQREXI5n9mFN2t31/F9Al9XI92OYpKoQdUd/CDp+aF8adK2er4nSeIpcg9Jkhh3JxPFDFnmGrCn49XldsK+MVJuR0ouzWtol71KPEkuT5DE12eOp+oIJOEVqdwuRa8Q9IpJ8j32OyRFihQpNhrpkNQE8eKQiD72FL84o+R2khK9RGplWVxJFuiUJyopsiQWqJzuPON5Ik8NHbxAsDAEi2KOpxaHyeLYsTbMiJ4D9wJZEgBCBTdIwjMMw9G1J4kKbgj469gV9Zv1+eCGbpgk6howD4mX29X/nuhJopgkypNUyPpskSvgDjCRSFYBt7dP6uuK0uCGFD1Er3qS0uCGFClSbAekQ1IT5Ol2VPQxn8zmKqEEZDIDKrrYBDdQniSz+CalXiST5N6BB+IvOM50Ti2QM77QU0RJvSgGgJHbmQGY+pKme5JMkSc/aJILXMH9W1mI+vPHBRfUgu49SU65nUQySYR3sJLJZEDpvK8sTJgk2/3zbF5EDEn5jCcLbnA8B1K5URDZ2UApkxRqdxR+ihTtolc9SWazkArPSZEiRYqNRjokNSEv7Ukioo89JSgyre/QW4MTfEnHUPxvqx+mHSbJ5mUQdLRwnqSswHQeRJocckgmibl/lkkiBgxzfPP92BAQz6HoNaC6qgQsALVATxhRhs2rhRGymc49SVQEeMbjd4JpJokelKlrMInQFrAogCO4IZHbuY8PiOMLWZ98/Q1c4RNZYYy7S/Io74pyb3akSNEueuVJyvn8RlWKFClSbDTSIakJDbkdvwPuktv5Hr+DXaGCGwQ7yMYLYZXbmeAGUbodscAUyN2cTIyg5yekghcYFiIgWATARGh3nm4nkV0mrwExqJLBDQSTJJL7EUNCTngdd+NJ0lrH6XjO51AyKNvT7QC+VJl6/iRSOYALbuBvI4w0lLJfA4WsjEly9XXF7wEZE2XbtTc3KZPbsXeTIoUIvepJymVkGzUpUqRIsZFIh6QmJOl2zA5wELp30H0l6EkiymQlO8iJl6LD4AZKEiFKVks8Se4I8G5N/xK5n2vI8jwFrd0L3JAw7ANyNs0lNctnBeEZxGOQyO2o0AFzXpIoe9c1GP9e8BqQASaC4IYOPUm0ZLTOonQT3CCJACfOX1om62KSuPeAgSvhz8SoSySHrvdhihTtolc9SeYzKO1KSpEixVYiHZKaII0ArxELZN/nF4dUcENOwiQlTM7637UX3ECwGAI/DMXEcFIvWz9Mcg4e7esKmHQ9btAzp0bdP8AxSW7Duxk8qNfAMGnK6imSy/2swQ3CXVi2J0kQPOHsuhJcA7Efxz1oU+l2Ehaom54kT1AmS10DeSmTRMjtJD0xXB1BGtyQYjPRq54kaYhSihQpUmwk0iGpCdII8IBI9YrLZBmZExUBLmBhGn4Utx9GVCZr88MIktV4uZpik9FCypPkK3KBzd2/z0RAU0Omuf/m+3Gdg2u3tNFVRQc3cOdPvgZJQp/bk0QtssNI1+Oj1z8JSin2OkyuIUry2JUnSSa5tDJxbQY3UOEZnNzOeQ1k5J4kV9eVpEyWZOMU31VFRemnSNEuuM0TKaQblilSpEixkUiHpCY0Ur14T5LrS8BjktWAxgLTtTiSdAwB9h3wjO8h4ym6o4f4IpOk27FMji+LAO+0DJZKhjPHx+fpYpLo4AbZc+Dul0nYPHJQtQ8oa+5fENxgew0lniTKlwbw3riEySJSHmU9Sb1PtxOHFhDXgaQniZKMFrI++fpztyEtk6Wkv/FzSB8fM1ns3aRIIUKv0u2kvsoUKVKk2EikX49NUEoh53uidDtqgUsZzoF4CMtlPKvUKuPz8dnJ4s7x6uUzniy4gVhgkh09TE9Rjlkga63ri0OXn4U+nrv/xE/iuI1eBDdEjn4boMkXxgQ/UAMCIJQ8EkyShAmyeZLMbcgi0F3H88EDVHhHN+l25rJi468Jb58nZJLcQ1Isl5MMala5nbBMlmKSPE/CJKVlsil6B0rK3Q5ST1KKFCm2A9IhqQW5DD8kxYlSjoWJJLjBYZgH4uhTuSfJHRxAhgaEcaoYZfonF6gCJoceMBp/Z0OW8aNwnqhGkab9NqieKUAe3OAa8hoJg1QEONUTJWCSiMcg8RRRhcLm55TUJUmxomLYBUwSlVBIM0luNlMSutD8e9eM4DOscBx64LgG6oMyu+HikO6Ky2QZNo71JOnUk5Sid2gEqnTrSaqHz6RyuxQpUmwh0iGpBZwXw7AgVKoX54WoBpFzp03iReCYkLjIkpDbEUOeJFmtkWxGyO26kOv54nQ792vQ/HetMAOGjcmLb1eW8OdaB+QFpcShI7oZaEjIyEGRGFQlwQ2cwTrnK1L22ZDbEUyURHLZYegA6UliXn8DE3/tug5iT4/7+JB4HxWyxhtI+5LKQZQM1c0Ql8lS/khPOX15BpF2B5ikSNEukp6kLtnJ1JOUIkWK7YB0SGoBxySZxRm5gy5gkpw7+BlZCSfgXtwUWCbJ7YeRSLUoqRcQL7CptnSJ3K1bJgtwMwmJzIpJt+O6olyL00a6HRUB7u4IMteWRHLokmoBNIvRCA9xnEOGXqQ3hiyCxRB4+8iepA6HRF+QTAfw8dee5w7/AHhPEgCUCW9gFGlUgwiFOuvUDEmptDkHMvxC8FmSyu1S9AoBw1BLIQ1RSpEiRYqNRDoktSCXYWRGzA66pB+mGkbW+G+gIXNyDRiAjEmiI8DdTJY02Y26f/PcuG6D6zmKF3d8ul2nbFjj/O23n8jdGDbL5QlTSiHHvAZBSMTIC5gQSnLYKGLkgxuo61DiSaLDOzR5Hbs6fsztdspmtsckuQcELqkyIoasBpNEDKr118DGJGU8PvwEAMtqk+efBFewd5MihQhBFEEp9+eCFNIagxRbjw9++Rh++ZOPk5/1VwJ+/mMP45X/95fwR3c/g6nF8lafTopNAjskKaX6lFJe/b9foJT6XqVUduNPbWvAeTGMhMi5wBVEgNdCTXqSAJkfhUpXI+OnI6IM17AYgiHJxaRwZaSSCHFJkSjnKeLkdu50OxNeQT8HVIJTnmEkQ2Jxm3RVdTioNqQqkq4s92vI+doA4hoQJAxGmn4NZUOiPcLcU5LgBnpI8riURYJJapQ6u18DI8WzMUliT1LoHjQzDKudsJGp3C5Fj1ALtbMWoB3kBIqGFNsDdz48ib/9xin8yVef3epT2TAcm1rEpx45C88DfvcL38KrfuvLOHr20lafVopNgOTT7B4ABaXUXgD/DODtAD60kSe1leDS7bhGcW5hBQDVIHSn4wm+HDgmJZ/xSS8ENaRlJVIzs0B1+qrMoGW/DcpPAvB+FG7IMgtf123wTBgd/GBug9os5QbVGrO4BYSvgWWBK5GqcJ4kLp2uIatxvIYMGxeyCYW05FLCJnKyV2pIM7dBye1CQjIpYZLM9eHyJHF+DDNoUnUE5HPIbLakSNEu4kj67q+nRrrdlc1OXO6ohRFOzi6jmPXxO3c9jXu+Nb3Vp7Qh+It7jiOf8fCpd78KX3zvHQgjjc8+fm6rTyvFJkAyJCmt9QqAtwD4Y631WwHcuLGntXXgGICkB4LsJuGZJKqfBgBZxmoWPq5d8HxWsEBnFreSXXx3Op0ZtLghxfUc0uEV3AKZ68nhFodmUKTlZm7DvDkHKt2NCy2I76NTJin+GXUNVLv0FHEpVsmw7Ri0GnK5zt5HkvAPLkAlTnZz/55jhamuL8MOUZsVFJOUFTBJ3PuQqyMwL02abpeiV6A8cu3AfIalwQ3bG6cvrqAWavznf38dXrBzAD/7dw/j3KXVrT6tnmJqsYw7H57EW2/dh9G+HI5M9ONF+4bwr8dmt/rUUmwCREOSUup2AD8K4DP1n63/Vr9CwAU3GBka5SfpNgI8vh8iQpv1JNFFllS6nWRAMIZ6p1yNiW9tSKXst89FF3NMEJtuxwRPNDxJ1KDGsxDUY6gR8ddZxtNlfudKZsv58duT9CQFdE9ShklXS+R6HBvnOIdesYnO4xUff031HAHxEE0zSW65Xj7LD0lmiDUhD83gvJEAP6j6nieT213mzlSl1DeVUr+slDq81efyfAcVStQOGpuF6ZC0nfHs9DIA4Ka9Q/iTH7sFS5UAH/rXE1t7Uj3Gh+89iVoU4SdedSj52SuP7MBjZ+axUK5t4Zml2AxIPs1+HsD7ANyptT6qlDoE4Msbe1pbBy56l2sU9xS/g10JiHQ7idyO8RLETBIX3OBaHPMDAsskefRjMLvbTiaJS7fjIsiZIUk6ZNGLdLfUypwbnc4WkQmJAH8NuO4/8SRJepKcwQ2ML4wJMElkoy4mSZBQ2E1XlkT2yqXbiZgkxzUoiYE3A1Te8hoMFrK4tFpjgi+4QZMZtBlv3mWEHwbQB+CflVL3K6Xeo5Tas9Un9XxEELrfE+0glwY3XBZ4dnoJAHBovB8Hd/Thu27YiY8/eJqtPrhcsFIN8DffOInvumEnDu7oS35+++ExRBq4/7mLW3h2KTYDkiFpp9b6e7XWvwUAWuvnAHxtY09r68Dt4CY9EMQCXcQkEaliAC23S1KpOgxuIIckwYAQRRpKEXK1jFnkd+ZHyQjT7VxDls94irjFIScXjG+jOyaJKwEFeCaJH5LoQRlwe5I4yWMtYTFcgzLHJJnNhg6ZJNGQxcjtuHQ7j+5JEkWAk3I7N5M0UsohjDQWyoH7/hl/pO95wnS7y3tI0lo/qrV+n9b6MICfA3AAwDeUUl9WSv3kFp/e8wo1RoYsReJJSoekbY3nppcwPpDHUDHO8nr77VdhfqWGf3rM7dfRWuPuJy/g2NTiZp1mx/jkw2dxabWGn/z2Q2t+/tIDI8hnPPzrszNbdGYpNguST7P3CX92RYANbogYJknQTULJ7bKCEj1O9x0HNzDHOxa3Sqn6ArXz++d6hkJBOl2k4WTkJF6M+H7sx5sZ1vUQfE9BKS64gWGSOE8NUQIqjSB39lQJriHOk8T19CTBDQQb2Px3645nfWnSdLvOZa+83I7uSaJeAxPcQMleDdtrC24Y6csBAOZXqs7jE19Wh74u86tu45q3E7TW39BavwfAjwMYBvD/bfEpPa9AVRu0g0ZwQzokbWc8O72Mw+NNDMuhMRyZ6MfffP2E85ivPD2Nn/jvD+K1v3cPvvN3v4KPP3Bq40+0A2it8ZH7TuK6XQO45aqRNb8rZH3cdvUo7k19SVc8nEOSUuoNSqk/ArBXKfWHTf98CIB7e/MyR1bck+T2QnAt97WAKHMVSq2oRKoCI7erEnI/QOYJohZWXAS4dMhxp9PRnii/y3Q7IF78c0MCzSTxkkE3kySLAHcySW2k2zk9SUxPTyPAhHsNO0049GQ9SS42URDcEOruepKo10BSJpswSZbghpFSvDM7t+LWvAeMLyz2ZfGM7JUyIymlblNK/Z5S6iSADwD4MwCp7G4TQdVLtIO8oOtNis88dg5n56+sMIHtAK01jk0t4fB4f/IzpRTe/vKr8OiZS3j09Lz1mN/9wtPYP1rEr775RuQzPv7LnU9gcRt6ex47cwlHzy7gR7/tgNX7+4ojY3j6wiKmFytbcHZXDr7wzQv4+AOn8KWnLuDk7PJWn846UJ9mZwH8G4By/d/mn08D+O6NP7WtQZ5hkmrMDry0TNbtBeG12BGxgw3UgxtINoze7eOTzej7z3LBDZxUKukJYhbYTDqca5EsiT72GU9MpDk2jWOS3Mc3ep7oBS7VMwXQQ1IjwtvNZlHXABdg0ohRd7wGXcrlEl9eF8ENkSC4gWKjqNcg8SR1yCQNl2ImaY5gkriEwHhQdB7O9q1dLlBK/YZS6lkAfwxgEsArtdav1lr/qdY63eptwt1PXsB7Pv7Iht1+jfhcaweS70EJ5parePdHH8Jf/cvxrs8pxVpcXK7i0mptzZAEAN//0r0o5Xx8+Osn1x1z19ELeGJyAT/3mmvw47dfjfe/6QYEkcbXn91+b9OP3ncKpZyP73vJXuvvX3l4BwDg689tv3O/XPDo6Xn85IcfxC/9w+P4nz/0IF73+/dgqbK9OBjnkFTXeX8IwGGt9X9v+uf/11rPbd4pbi64dLtAsIPN9yRFbpmTYAeNS1YzMeYu0zcl9QLqwQmMJ4gOLZDFP1ML5Pj4zpggboHOpduZ26AjwDkmiS/EdcrtEjaRHhJcUjWlFHK+h4pEbkcM61TCYsjITjNMeEfAeJp8JjiCk2x6IiaJ8ZUxISw98yQRTBIlt2sU+rrfBxSTdAWVyZYBvF5rfZvW+ne11me2+oS2K/7ia8/hzocnN2whEvQo3c734kLobuV2j03GhZ/Hppa6PqcUa2GS7Q41ye2AOHTmbbfuxycfmVzjO4oijd//wrdwaEcfvr8+eNxy1Qj6cj6+us36lS6t1vDpR8/izS/eg4FC1vo3N+0dwkAhg3uPpb6kTqC1xv/1mW9iR38OX3zvHXj/m25ANYjw7DZ7r1Jyu8eVUo8BeEgp9VjrP5t4jpsKLt2uxsiMpBHgtkSr+P4FcjvGD2N2pl1sUjV0y/0APnwiTvVyH99gMjg/CjMkMT1LlFSr+e9cx3OSQXKByQ2KgnQ2jgkjmZRQk9HNuYxHhn+YxUenPUlcgEmW8VVxcjnu+TNvD7IjiCuTjZieJNbTQ0Tp+x58TzFyu3pPks2TZJikZbcMpcEkOQZFgVzQ/N3lDK31rwKoKqV2AIBS6uVKqV9USn3/Fp/atsLcchX3H4/TuM5vUJcN9bnWLrjvYgkeq0u+NnpIqgThFZPoJoVJtmtlkgDgZ19zBKWcj1//zJPJz/7xsbN4+sIifv611yTrh1zGw+2Hd+Cr35omkzw3G598eBKrtRA/8rKrnH/jewq3XT2Kh05dsZzBhuJzT5zHAyfm8N7XXYsjE/244wUxM2euq+2CDPG7N23aWWwjsEwSI1OKI8Dp+6DS5XICmQEXXZyv70xXapE1OSve7eOkZp2zKFmGSYo0vUD2hXK7TpmoSBB93K3k0Pf44AO2jJeRm1FsYJzSyHf05C0sBmB6kgTBDUwEeKevId+TxDNJXfckMf5CzpdWyHhkgAr1GgwWs1CKY5J4bx81KCYBJpe/3O79AN4JQCulPgbgtQC+AuCNSqk7tNa/sIWnt21w91NTSVjH2fkyjkwM9Pw+amHkDHNpF5KuMA6PnomZpMn5VaxUA5Ry1JKnMxybWsSP/eX9uGnvEP7yHbf2/Pa3K56dWkI+42HvcHHd78b68/jZ1xzBb3z2KdzzrWmEkcYv/cNjuGH3IN5081qb4B3XjuOLT17A8ZllHLIMXFuBTz0yiRv3DOKF+4bIv9s/UsQDJ9IY8HZRCUL85ueexLU7B/C2W/cBAK4a60PGU5fPkKS1TgSlSqmdAG6r/+/9WuupjT6xrQL3wcxFF2eYZDiADk4Q9SRF9AI/SdYKQgDrqeKAYYK4ASGMIlJ3zj0GzpPExUdzLIR5blxMhDktjgnqJrwi4ys6YTB0G5yTniZG8kitRbiUxmqyQHczmmRfGJdQ2CUb2HW6naCvjA1u4HxRzDWQz/pkgErSk2RhknxPYaiYJYMbJOEVkvCLy71MFnFP0vUASgBOAdiltV5RSmUAbJwB5zLDXUfPo5TzsVINcW6jmKRQO+st2gX3GSbB45PzGChksFgO8Nz0Mm7aSy9628VjZ+bxjr++H3MrNcwsVbBYrjnlWVcanp1ewqHxfucmyztecTU+ct8p/B9//ximlyq4fvcAPvSul637zLzjmnEAwFe/Nb0thqQgjOqBDW4WyWDnUAGL5WDDBvArFX//b2dw+uIq/uYnXpasg7K+hwNjJTw7tb3CG9hPM6XU2wDcD+CtAN4G4D6l1A9u9IltFXL1HXRn/DTHJDHdKkC8A+z6IskwUjXASL3ct58wSS65HeGJAvgiTo5J4jw1nEyIk5uZBbJrSGBDAzS/OJT4sihZiSjdrkMmLLl/jkkSDElkup2gL8wZAc48hmTIcV4D9PMXcUOSgEmSBTe4j+fYPDmTZL+NkVKODG6oJRHgnYXIXEFlsmWtdVVrPQ/gWa31CgBorQMA7ifweYTVaoivPTON73vJXigVM0kbgRqzAdcOupXbXVgo48JCBW+6eTeA3st4Ts2u4Ef+4j6Uchn89g/ejCDS+Nozzx9/Smv8dyvyGR/ve8N1OL9QxrcdHMXf/eTLsaM/v+7vDoyVcHBHH+7ZJr6k52aWUQki3LR3kP3bXYMFAMD5SxvzfrpScfTsAkZKWXx7fUA2ODzev+2YJMmn2X8BcJvW+h1a6x8H8DIA79/Y09o6GHmaa8Dgk9XobhWtdZxu14XcLmAWyEmylmMXO4hoSUSvIsC5IlF3Ohv9HNSYBT43ZElKNDO+ShLcbAgjmoXIduFJknRVhYyfhmNEq2GIrK/IQmDq8bMR4CybyDOyIibJFQMvjACngxvcCYmAYfMoRtcnfQqVWoh8xrPGywLAcClLDklcVxXnj9RXzpA0rJR6i1LqBwAM1f87+f+tPrntgHuemUa5FuGNL9yN8f78BjJJkTOSvl3kMrTkl4OJoP7eF+2Fp3rvS7r32RksVQL89Ttvw1teshdDxSzufvKKFdmsQbkW4vTcitWP1IzX37Qbn3r3K/Hf3nUbybDd8YJxfP252W3h6zp6NpZo3riH/+hIhqSF5/eQtFwJ8OS5Bdz95AU8Xpe4UpicW8XekfUyzcPj/Tgxu0xu0G42JPyg1yKvm4VsuLosUaxLX1aqAYq59V6BRqKUeweeWtyZD/2c0/BOezmAeAijpFZmSHLtYgchx4J0Hn0M8OEToWCB2/x3rTCLfycbxw1JgsVh1vOSmGobQiYCnJM6cQmDvCeHfg04qUql5i40BuLHT31QcZsFXHCDqAw20tBaW4eI5BoigickZbLdyu2oayAnYJJcLBIAjJZyOEfsUEokj/T5gzz+MsJX0fDQNv+3qv//8x7/fPQChopZvOzgKHYPF8nrqhtw3y3tIOurrjxJj525BN9TePH+YVw11tfzHeoTsyvI+R6OTPTD9xRefe04vvL0FPvZ3Cn+/t/O4HOPn8NfvfM2/o83GCdml6E1cHiCl8e9aP8w+zf/7gU78KF7T+CBExfXsQubjaOTC8hnPJIlM9g5FA9JF57HQ9Kl1Rpe8Zt3Y7kaD7gjpSweev/rnJt/AHBmbgXXWDyRh8f7UAs1Ts+t4uAO/vnfDEiGnc8rpe5SSr1TKfVOAJ8B8NmNPS1AKfV6pdTTSqljSqn/tNH3Z2B0pauOHY2G3K6zRKlGz5LDC2IiwAm5Xcj1JCVsmP0xUEwWUB/0GC9DV54kZoHcGLIcQ5KQSeqmTJZjcoKQZhEyPs+EkM+hp8jXIJY80nI7qiurGkakdyDjK0TazaQk1zETAc7FwHMx6FxCoes55CSjQDwsc8EN3WwW5LM+ucgr10JrsIrBcClHBjewn0VCT9LlPyPhCQBH6/883vLfT2zheW0LhJHG3U9dwHdeN4Gs72HPUGHDylVrPSqTBeLvkW48SY+emcc1E/0o5nwcHu/vOZN0YmYZ+0can5QTAAAgAElEQVSLyWfAa66bwOxyFY+eWV+i2gt84ZvncfdTU9uCbTlzMb5+DoyWenJ7Lz80Bk8BD5zoXVLcY2fmO5LBHT27gOt2DYiuY8MkXVh4/hbKnr64guVqiJ959WG88xVXY26lhkurbi+t1hqT8w4mqT50b6cYcCoC/INKqVdqrf93xM3lN9f/+XOt9S9t5EkppXwAHwTwBgA3APhhpdQNG3mfBoY9Wq26pWoAVeBIRzfXGBYkic9m0u1ImQ9TZBmEdJks3/FDL9AbQxItd3NLFukI72oQwVN0iSZ1vKREM8v0JHGDos8wivGOa+dMUrzAd/5aFNxADUnJa+hKpwtjuZ9TrscMuiyTxPjKEl+ai41kNisAfrOBk+wFUUQfz8j1uCFppCQMbnD6yuh0Pgmjepmgv/7PLQD+NwC7AewB8L8CeOkWnte2wPxKFfMrNdxcT+raPRQzSRsRuRyEusdyu86GJK01Hp+8hBfti1mMwxN9OD7TWxnPidllXD3W2O2+4wXj8D2FL22Q5O6Z+sJxO7AW00vxUDAxsN5j1AlKuQyOTPTjiUleqiXBxeUq3vZnX8d7P9FebovWGkfPXsINAqkdAPTlMxjIZ57XnqTpxfha+M7rd+L2w2MAgFMXV5x/f3G5inItsqYiHt5RH5K2kS+JGpW/BeB3lFInALwcwN9ord+rtb5zE87rZQCOaa2f01pXAXwMwJs34X5Rqg9JK44hqWFYJ3awiS+fKsMkiSLAmVbzPOuronf7YhaECS1gWBRzP/b7Z5LNzALbcTzHgvBMUv3vSE8S3ZNElbkCvK8rYBIC2fsXMEnUNRRLvdwLdC6djtsx5gZVc31RPU3U8RFzDUlKnaPIHf6R3AbJJLnlfpJz4OR2I305rNbc/Stcmaxk0DZ/dzlDa/0rWutfAbAPwEu11r+otf6PiIemA1t7dlsPs6s7VC8o3jNcwEo1xEK594WyVGpnu8h1Edxw+uJqPBjujxe7R8b7ExlPL6C1joekJknQcCmHW64awZee6v2QVA0inJyNF54bJZVsB1N15sQWxNApbtoz1LMh6cNfP4FyLcK9z862dZtn5laxUA5w4x4+tMFg51BhWwyuW4WpxfixTwzkE2aRGpIm6yy2jUkaKmWxoz9/eQxJWus/0FrfDuAOxD6kv1ZKPaWU+q9KqRds8HntBXC66f/P1H+WQCn1U0qpB5VSD05P9y4VpcgMSQ3DOlWCSQxJXKqYsCeJ2v1teJLWPwatNWpMmayneCaJZmFoJqkhd+tMakVFqMfHx79z7eInqV5Uup1AqkStBagFchRpRNrNpJn7Z+OnuwluYJikpOfIxQQxO8bdxsD7iVyvO08TBS64wWNixEOGSeLkerzcLl7UzjvYJElK5POhTLYJO7E2za5a/9nzGmYYGirG19PuoXhxshHhDbWIVim0g27kdkby1mCS4h3qXknuLixUUK5Fa4YkIJbcffPcQs/ljCdnl5P363ZgLaYWyxgpZXsW9w4AN+4dwtRiBVNdDhyr1RAf/vpJ3H5oDP35DP78nufExx49uxCfSztD0mD+eR3cYJik8YE89kuGpPpGxT7LkATEvqRnp7dPDDh7hWutT2qtf0tr/RLEfRTfB+BJ5rANh9b6z7XWt2qtbx0f753Rr1hftLh2b9l0O9aTVGeiMp3JlAA+uriRbrf+C8acP7XA5WQ6fE8SHdzAMkkevcDmduA5JimJj2bS7bqJ4Kb6spLXgOmq4uV+BJPEBTcETHADw+ZxO8ZsDHsPPEmegtMcyrFAjdvoPMCEi8L3lCIlTdx1PFzMAYBT310TvI+ozyLzq8u9TLYJHwZwv1LqA0qpDwC4D8CHtvSMtgHM9TNYTxfbPRz7KM5tQAw4F0jTDrIZD9UO0u201rjz4UmUcj5esDM2hx/p8ZB0fCZexF09ttaTc/uhWG70WI99Sc80nffZDUombAfTixVMDBR6epsvrHdYmUGFQxRpzCyt9wL9/b+dxsXlKt7zuhfgh1+2H595/BzOzLkX7c345tlL8BRw3a52hqQCLvRocP3UI5N44x9+jU1m3U6YWqxgqJhFIeujP5/BWF8Op4kh6YwZkobtfrbDE7F/cCPkwJ1A0pOUUUp9j1LqIwA+B+BpAG/Z4POaBLC/6f/31X+24TDBDbzczt2TBPCG95xv30HOMgMCwO+A54gI8MTszQwZPItCDVmGhXCZ9uOfuxZnZoHtWuDVQnqB31hgM+l6zGNgy1w7TEbjUsmAWMbFsQBkmSzTk1QJQmuJqUHjNXTJ7egdY+4aqDGvQWPQdbyGTEeRSG4nCW4gNrIj1pdGnwPHJPEpkXTSJhcik8jtrhAmSWv96wDeBWCu/s+7tNa/ubVntXG4uFzFCz9wF+49RnfzLBi5XZ1J2lNnkjZisd3LdLucr5K6h3bwj4+dw5eemsJ7X/eC5LtwsJDFxEDvZDwnZ82QtJZJOlRPRHtuprc74Wa4K2b9bcIkVTAx2DupHQDcUGdvHhfI46JI4+c//ghe/ht341OPNJaGYaTxF187jhfvH8ZtV4/gXa88CAXgr//lhOgcjp5dwOHxfmuysQu7BguYWqz0ZLD52jMzOHp2AbPLl0+929RCZY03bf9oiZXb9eczGCzaw7UPj/fj0moNF7fJc0AFN7xOKfXXiKVuP4k41e6w1vqHtNaf2uDzegDANUqpg0qpHIAfAvDpDb5PAM2eJLtem+2HYVgMs3ClEqliFoHzo/ALVNtNVBkfA8Ans/HpdiZ8gpZKsWWqRLpdN56kXgQ3xL4umo1z3b+5XTrdjtbjc0OCpEyWHDQ5NpDZMeYY0cYCvzNPEjckcnJJcxt0cAMdvMAySR5dRlsJIhSoQZXdLKAHzZgNpT9HgCsi3S6B1vqhulT8D7TWD2/1+Wwknjy3gMVygIdP06zFQrnOJNWHpPGBPHxPbQiTVIvoz5V20Elww+xSBR/49FG8aP8w3vXKg2t+18uEu+Ozy8j5Hva0mM8H6sPYcz2WCx2bWsK+kSIOjJa2hSdperGC8R76kQCgP5/BoR19Ig/Rb9/1NP7x0bPYNVTAL3z8EfztN07i6NlL+I+feASnLq7gp//dISilsGe4iO950R587IFTWK7wHryjZxfaktoBwK6hAoJIY2a5+4S75+pD/EalT24EphbLGG8akq4ao4ekM3Or2DtcdKpATPT6dpHcUZ9m7wNwL4Drtdbfq7X+qNZ6U8663pT+HwDchVja9wmt9dHNuO8k3c5llhZEDwPuQtkkuIFJFuOkVlwqV/x3FrkdExwRH+8J0u3c96+Uqi9S7V9wEcMiZBg/inRIckVocz1N5jbIXfiIixB3x6hz8dWS++d8YXyZLJdux6fLcV1bgHuBz3uS6EE5COkhkStyNedGPYec3I5joiTpdlR4BufLMs+t670cp/M5b160WZBi+8JIvihpC7Bebud7CjsH8pcBk+Sh7KixcOFX/+mbWCzX8Ns/cPO69+aRiX482yMZT2v8dzMO7uhLFru9wjNTSzgy0Y/dw4UNKwKWQmsdD0k9ZpIA4Ka9Q6zc7iP3ncSffvVZ/Oi3HcAX33sHXnPtBH75k0/gjX/4L/j80fN45yuuxnfduCv5+++6YSdWqmESfOHCzFIF5xfKohLZZuw0MeCXuh+SzHv68hqS1jJJB0ZLODtfdm5wTM6vOv1IAJKC4u0S3uAsk9Vav2YzT8Ry/5/FJvQxtcJ4kpwR4GHsx3F6IRSz+1vf3c8zfhCKBeAWd9QuvMQP4ys6xlxSlpf13YOWNN3ONWSx6XbmNXB8GZrTItk433P6cQA+/pnyNHHhH+Z3ZDIZw+blfLonqVKLMNZHpdvRcrmASVjkIsS50AGOReEGlFLOd0pm19wGE7zAMUnUc+Ap2ttXrkWM5JEbNGnZpq9oJsn86goKbnhe4UR9QXWGSWxbWA2Q8701rOXu4WLPmSStdf090RsmqZjLOL+HbTgzt4JPPXIWP/Pqw7h21/qiygOjJSxWAixWgmRg7BQnZ1ecZZeHxvvxuSfOdXX7zQgjjeeml/CqI2NYqgQ9S4DrFJdWa6iGUc89SQBw095BfPrRs7i4XMVoX27d76cWyvjAp4/i1deO41e+90ZkfA9/+vZb8AdffAbDpSzeesv+JMXRwMgCpxbLuAFuluipc4sAGrI/KRpdSWW8EO0NWM2YW64mlQ+Tl8mQZAbmicHGtbB/tIQw0jg3X8aBsfW+ozNzK7jt6hHnbe4dLiKf8bZNV1LvokmuEJghyZluJ91BdyyOagJPUJaJPmUXd4TczAxf9GMQdPwwQ1KGGPQ4T5BEskhJOjxPwSMGPbNwpdaGWUKupXWcTseV0bo9SWZQZeR6xDUQMJ4oTqpSDenQAL7niAlu4Jgg1pPEpdtF5PNfzPpOyawBN+xTTFIUaWhNszBcoS0Xw875spLPEiLdLtJw7pzff+IiAKAvL9ffp9g+ODFrhiSeSRosZtZs7O0e6j0jwV2P7UKy0dGMrzwdp9y+5aV7rb9P0iKX3d1jEkSRXteR1IzD432YX6lhrkeeism5VVSCCEcm+rFrsIiZpaqzKH4zMNWUZtZr3FRncVyD4N/edwpBpPGB77kx+f7J+h5+8buvxf/y7YfWDUgAMN4fL+BNCpsLhlndP9JeQe6uofj2u024Oz7bEGqd3QAprAQr1QCfeewc7j9+UfT3C+UAlSBaxyQB9oS7hXINi+XA2pFk4HkKV42VcJJhyDcL6ZDUAs9TKGQ9t9wujJyhDQAv9aqG8e1STA43JIXMoCZjkujjOcO3jEni0u3oGHTX8Zzcztw2J1Nie5KchnlJ8IMii1jj47sok402tky2IXl0L9A5uSBAhXfQASi8J4l+/ou5DMqOMmWDWqhZRtJ5/1ogmWSYpEotpD1JAl8WwG822I6/99gM/uhLz+D7XrwHN+xub+f0+QSl1FuVUkeVUpFS6taW371PKXVMKfW0Uuq7N/vcjDRncn6V/LxeKNcSP5LBnuHeF8pyRevtopTzsVoLxef4laensXe4mMh1WjFSipmJuZXuhpcLi2WUaxGucjJJJryhNzvhz0zFDIeR2wG9kXZ1CjNs9KpIthk31hPunji7fkiqBhE+et8pvPoF4+ui1ymYYW6KGZKmOxz+xvpy8FT3Jb/H6x6cYtbfdLndpdUafvbvHsZLf+0LePdHH8Lb/+o+PHWeTxmcrnckjQuHJBP/betIasaB0T6cYuSRm4V0SLKgRND8nOaaY5KqAT+kZDN8uhyXrOY6B5EniTF8SyQVWV+hFtCLO9dNcCxEJYyQI3bgzW13urg059BpR4/5ndZ2T0qNKVI1v6M9SXRwQi7jIdLuIaUShCSTlOGYpJDuqlJKxdcA9xwSLEj8d+5kN2pAKeV8VMOIZOMqQcgykvw11HnCnphJIgp9Afd7mWKUv/TUFLK+h998y81O6XAKAMATiNNc72n+oVLqBsSBQjcCeD2AP1ZKbRolF0Yapy+uYqiYRS3USaGjDQurtXXyst1DBVSCqKcJUpJAmnZQzPnQGuxmBxC/l+99dgavvnbceT2P9MXPQbdD0omZePF20MEkHdxhPBW9sXCbsIkj4wPYXWctttKX1Fwe2msMFbM4MFqyMkmfffwcZpYqeGdLIAeHYs7HQD7DMknTixUM5DNtJdsB8abA+EC+69TB4zPL8D2Fl141vOkx77/9+afw2cfP4a237MdfveNWDBazePdHHmLDLkypcPOQtHOwgJzv4eTF9dd/MiQRTBLQCH/YDjHg6ZBkQSzVccntaJmRGV64CHBa6kSb7rkIcIrNaqTb0TvY3XqSMp7b08N25DChAZzczty2a3EZaQ2l3B075hy4dDwyIZBYoEqGNC6GPWKkXoYhcV1HHJNkFt5OTxLDZgLmMXDx1Z2l23FywySlkghvqAa0J4hikhqDsvNwKAW4PuPDSKMaMul2XHADsyg1P7exWUGkkc94bS8Inm/QWj+ptX7a8qs3A/iY1rqitT4O4BiAl23WeZ2dX0U1jPCqIzsA0L6khdX1TFKjUNa+sDt/qYwPfvkYjtVZDAkkG3DtoJSlk2ab8eCJOaxUQ7z62gnn3wzXmSRXObMURuZ49Q67LGv/SBFZXyVMX7c4NrWE8YE8hkrZZEjayvJS28K4l7hp7yDue+4i7nz4zJqOuA/dewKHdvTh2+vXfDsYH8yzQ9LUYrnjMIpdg4Xu5XYzyzgwWsKB0b5NZZIeP3MJH73/FN5x+9X4te+7Cd95/U78wQ+9GMdnlvHLn3yCHFSmlwyr2PAk+Z7CvpGiNVDGeK32MZLGq8ZKWK2F7Gu2GUiHJAuKOR+rNfsHcy3UbBEr4F7Y1ARfJDlWbkebrY2MzHYOgUA3Hhu+aRaDG5JiTwy9wHTdBBfhXWVYEHMbLqkTlw4I1Ic8pgyXC34w99WKmmBQpeSKQH2BTzwHZoh0Se7YCHDBdUzJToFYSsfFoPM9SW5PEDWkFZgAFoAv1PWYayg+T4ZJcjLK0ZrzdB0f31e3XVO2IYlmAlOw2AvgdNP/n6n/bA2UUj+llHpQKfXg9PR0z+7cLMBfdU28YKQS7hbKQdKRZLDHFMo6hqR/eOgM/p+7nsZrf+8e/OCf3ItvXeCHJa5ovV2U8nRnYTO+8vQUcr6HVxwec/6Nkdt1y56dmInjv82g2YqM7+HAaKlnCXfHppdwpC4h3GU6rhjPSi2M8PEHTuG7f/8e/NlXn+3JeRhML1ZQrBeHbgTe/vKrkfU9vOfjj+KWX/sC3vzBf8V7P/EIHjk9j3e84uqO0jjH+/Mk2wqs7/tpBzsHC13L7Z6bWcbBHX3YO1zAzFKVTWftBaJI4/2fegJjfXn8wuuuSX7+isM78HPfeQ3ufHgS33jO7U8yA3NrZ5arK+nM3AryGQ87+teHcjTDSPa2gy8p/Za0gDKMBiHDJDE74I2epM4jwLlkMxNcYFvgSYY0TiYUhhImiWYRqITALJOsxqXbJfdPFJFyH7RZ383kcBHm5v4Bu1ysEd3MMEmkVIseFBMmyTEkVRgWxVzj7p4knknKEM8hyyZ67iETqMfQC5gkakhimSSJZJN4CigmynwBSsIz3N46JmmTYJQl4SvPFyilvqiUesLyz5u7vW2t9Z9rrW/VWt86Pj7ei9MF0GAzXnlYyCQV1i5oG0yS/bgzcysYLmXxvjdchyfPLeBPv8IvtJPvlh6l25WYOo5mfPVb07jt4Aj6iIX7UDELpYD5buV2s8s4MFYiP/8Pjff3pCtJa41jF5Zwzc54SOrPZzBQyOA8Icd65sIivuN3voJf+ofHcWGxjN++62k8dGqu63MxMEWyGyXTvf3wGO79T6/BnT/zCvzUvzuEQsbD5584j7G+HH7gln0d3ebEYIGX2y1VMN5hYt+uoUJXcrso0jhRH5JM95a0D+tnPvJv+NtvnOzofv/+oTN45PQ83veG69ZJct/5iqsBAI9PunvYphbLKGQ9DLS87w6Mlqyeosl5uiPJ4Kq6lJWLbd8MbMxWwGWOYtZ3Lq5qXLqdkds50+34ISXj02WyEibHtchOdONUcANXJqv5BRY16HE9S8anQg2anNyOGvQiAZNEJfxJPUmAi0kSeqKIQblSo/0sZkiyxYBHURzVm/PdxycLdKcfRqPESR4F4R0sm0gMWVwEOECkVIYR+xzQcrt6/DbHRLmGpHo6lYxJcvnCuFJpwpvIbLQ8n6C1fm0Hh00C2N/0//vqP9sUHJ9ZRinnY/9oERMDeWfCnda6nm63dgFkzOauhePkfBkHRkv46TsO4+4np3BGIP8JBN8t7YB7DxucnV/Fty4s4a237Cf/zvcUhorZJGa5U5ycXcFVo7Rc6NCOPnz16WmRNJ3C3EoNi5VgTZJenEzoXkB/8pFJnLtUxn9752245eoRvOH//Rre8/FH8Nmf+3ZyiJRiarHc8yLZVniewksOjOAlB+Ko6DDSqIUR+XlJYWIgTwY3aK27ZpIWygFWq2FHEuYLi2Ws1sI1Q9LZ+VVnzLzB7FIFn338PGqhxo+9/Kq27/dj95/C9bsH8f0vWZ8IOVzKYUd/Hs9ccDOicUdSYd3Qc2C0hIVygEsrtTWJg5Nzq2xoAxB7ljwFnJrd+kLZlEmyoFhP1bEhYGRGrJ+m/kVCLfKzTDIZ50cB3ENCwJi9qWMNZD1J7kGPY6LM8+sasmTpdhSLQQ8oQP38HQv89pikzsIzMkwMO8cEJXI7y2tgfiZJt3MzSREpOwXiGHXXa8ixIFxPEncNFnPxYsAlmzXPAfUcevUIbRvMpUH3JMF5fKXGexMbXVXuYZ0rhQYcKZcMI56CxacB/JBSKq+UOgjgGgD3b9adn5hZxlVjfVBKYf9oCacv2oeY1VqIINLr5Haep9CXz2CxbH9/TM6tYE+dbdo7UkwM1xR6nW5XzBq5He1JMtHfr76WZ+pGSrmugxvOL5STlDkXDo33oRpGoueNwkLdkzPctNDcPVQk/S/TixXs6M/hO66bwGAhi9//n16MUxdX8Gv/9M2uzqX59lvlVRsN31MdD0hA7J9aqYZYcgQRLFUCrNbCjoek5q6kTmCS7Q7t6EtCDSRdSQ+ciBnCToM8LixUcP3uAed68shEH44RstGphYrVm7bfkXDHFcka5DIe9gwXU7nddgUtt6OZJGlwQzZDmO6ZItHYU+P8NQD3IlvEZBFeEkC2C82xCDIWpvMIcCqZLNLayWAYZDwPWtMx6nQEtnuBGkqOZ4Y0rufIPD+2IcewS6KeJILF4OV27hh16TXgTrfrjkkymxDUZoWISWJSJl2eJBGTxAyKQUgzyuahWRllQfBGCkAp9f1KqTMAbgfwGaXUXQCgtT4K4BMAvgng8wDerbXetPKaE7MrOFgPDtg3UsSZeftiwhjfbeWpA/mMNb1Ka42z8+Vkx3fvcLwop5IigaaepB4xlBLJLAA8dX4Bg4UMjkzYo7+bMVzKdhXcUK6FmF+pJYtiFw7VPUTPdhkDbhb1zQzQ7qEC6UmaWly7cH3ZwVG88xVX42MPnO5aamhufyOKZDcSZvhxMaedxn8bdNuV9FzdY3hwvA87BwtQCqLwhgfrXXedFEObIljqMV8zMYBjF5ac4Q3TS3b2zRYDXg0izCxVsWuQH5KAOLxhO8jt0iHJgmLWHQEeLy4EPUmOiyoQmfZpuV28QGSGBEVLvegdcN6TJPH0uCLAI0auZ37nZJKEniRnEajAk9RgBN2eIio8g2KSzODBdV055YZJQiIhtyOCG0wRYTfpdjUm5RGgY9TDkGZB2I4g5hoqMsENyaBIeZJ8qky2/jfM+8i1WSLxJrLhGZFmfG1e/Vwtg3rqSRJBa32n1nqf1jqvtd6ptf7upt/9utb6sNb6Wq315zbrnIIwwumLK4kEa99IEefm7UPMwmq8yG5lkgCgv5Cx7qzPr9SwWgsT2c/ekSLCSOMC4+loyO1660ni5HZL5QBDpazII9Mtk2SYgp3ckFSXSXXrSzKvT7PnY9dQATNLFafaJJaNrT2/F+8fBgDMdhlaUa6FWCwHG5Zst1FIupIcQ8zU4vqUtnaws86sdcokPTe9jGLWx67BAnIZDxMDedGQ9EB9SJpdbj/oYX6lhmoYkY/5yEQ/FiuBU6o4tVC2Dkl7h9d7Hs2GzGBRJvk8MNpnDX/YbKRDkgUlVm7XmRcFkLWSc3K7eEhy/hqAm8lppNvRkkG+J0ngSSKZJFrm5BryokjHCYMCTxJVJsun27k9MaFgyKFM8434a4bNc/VECaRaVHBDwqIIepKcUi8m5dHcBiUVkzFJncrtaNO3lElyDTkNaVFnTJLEG8gxqpxslZR8Mj1bKbYvzsytIoh0Uqi5f6SEINLWXeyFcp1JsixM+vL2IcnIfMxCx/z7DLNgqQneE+2gKGSSFisB+vPrh0AbumWSLtTTvAxz4MJoXw6DhQyOd8sk1eWQ/U3BG0YG6VqQx0zP2oWrGZLbeez3HpvB42fW9hV1y7hsFcwgYCKrW5EMSR3KCHfUPVqzS50NocdnlnBwR18y6O8ZLrIJhsuVAE+cXcAew2K1GRwxJSgFvqbOztp8SeVaiIVygAnLhkFfPn7vNn++LNdls3052ZB01VgJF5erWCx35yHsFum3pAWx3M6uXWXLZBU3JNFeDADIZpgIcKYnCTC+Ivv9A3yyGjEj1e+fK5N1L/Ilu9gZx5DVYFH4niTbgAJImSS3HySQMEkEEyUObnC8CIYJIj1JgiGJ6+oC4B50BZ6WWLbplsvRbCLjx2EGBG4XuvEc0sEJriFHwiZSTFLiS2P6ygA3o1pjBh2PGLIChoVKsX1xvG5mNqZu0zliS7i7tOKW2/ULhyTjIeA8EskGXM/S7eLF1DLjSVoqB+vStVzolkk6L2SSlFI4NN7fdVdSsrBsYZIAe/pZGGlcXF4/JJmOqEurssceRhr/4e8exn++8/E1P9/IItmNRINJouV2nT6uwUIWGU9hdrmzXp/jM8s4ON4IaYiHJPr99sjpeYSRxve8aA8AtF1AK3ktj9RTFW19adTAnPE9FLLeGjnvciX+zpWGh5hwlK2W3KVDkgWFrI9yLbIucGpMvwibSCXwAlCGdyBmU6jFGWD8FLYFukzmQzFJ3ALX3AbVMySJEKfKcCXpdt0wSQ1PjiUdLimT7ew6aESA00yO6xpqeIoE6XYdepIoJg2Qsonu65hLaGQ9ScxGQSlLd6xIngNPKWgNqx47TK4BZkhyvI0lnTLcZ0nIfJY0JIuW+xfE+KfYnjhRX3g3y+0A+5BkmCSr3M7hSTJhA8aTZGR3XAhBIiXf5HS7pUqwhmmhMFLKYqUaJpsk7eLCJdmQBMRdVNIYZxdMsMZAiycJsJv1Z5cqiDQw3nJ+w20ySY+cnsPF5Soen7y0RqK20UWyG4WRUhZZX7llY4tl5HzP+j6RwPMURvtyHTFJQRjh9G15b5MAACAASURBVNwqDjYlGO4dLmJyfpUscr3/+EUoBbzp5nhIateXlAyGxLU83p/HYCGDZ6bWM0lmyHJdC/35DJab3rtmQ6aUlwVwuMIfNhvpkGQB1c/A9YuY3VsqApwt4eTKZAUR3C4mSbo4i7Tdy6C1FqbbuR9DKIgwd/lZagKpGGAev+v++XQ7qqcnEDJBgEvqJDveNWAkLEiHZbIyuR2TbicY9snwDuZ9xHqSIk0OqYVc/DuXTrsieA6oIUVyDVA9SxJGN2HTqPCMDgfNWppud9nixMwyBvKZpJBxz3ARStkLZZPgBseQtGRJtzs7v4pC1sNIPVGtkPWxoz/PMkm1ZPOnN0NSPuNBKV5ut1QJxMWmhlHpVHJ3fqGMYtZf1ztlw8RAAdMO5kKKZUtww84hd5KaGQJaI7pNOp70cd/95FTy3yY9EGjI1S634AalFMb78+7ghnpKWzfdT2P9ecx0MCQtlgOEkcZYU8HqnqECKkFEFh8/ePIirt81mHRotZtwJ5HbKaVwzc4BHLMMSRz71teyCWPUWdL36lVjKZO0bUENSdzigt2BDzWyzAI/ltt1F5wQMxGdM0mAPXxCkswW3z7FInSejieJrwaMVMr+u1huRx7eJHVyBzfQC2Qq3c54kujj3UWkPAuSp+R2CRsn6EkiZaMCNo/qORKwKM4BIaLfAznfg+8pp2xWIjmkQlgk14BHyPUSk7uIjXQNqgyrTUh/JWxwiu2JqcUKdg01uklyGQ+7Bgt2Jqke3DBgWdT35TNYdMjt9rQUPu4dKQrkdrzXsh0opVDKupNmDRbLgVjCM1IfkjqV3F1YKK957imMD+SxWAnYIY/CUiWAUo01CRCzSr6nkgG4GYmEqsVbM1CIi3Rtx9jwpaem8PJDo9g9VMCXnmoMTFMLFfh11uRyw/hAPnl+WtGaCNgJdvTn1sntTl9cIdkgoIktbJLENrqS7OdbCyM8dHIeLzs4ikLWx2hfDmfb9SQtVFDK+ex758h4v3VI4sIuSrlMi9yuPU/SQCGL0b4cTl3c2q6kdEiyIOlYsXy4cVp+I4NzG7YjfsAgpGrmttkyVEWXyVJslkftoBsvhmTIcTyGSOCpcvUcSQz35ng3kyQIbiCCCyRSK2rIkrAQWSI8o5HMRg05RLqdGbIIT1PDE+Rmgrgd4/gxUIMyHxxBFQJTzz+3wJLK7eL7Wv87cw1w6XauL0hJXxmXbsdJ5qgIcS6lM8X2xXI1XLNoBuox4JZC2YVyDX0533qdDRTiRUzrNXp2fjXxIyW3P8x3JUnCSNpFMZdxdp0ZLFVq1iHQBsOOUTv0FC440rxsMH/nWphLsFQJ0J/LrBnKlFJOFtDI4VrP0fcUBgtZ0ZB0Zm4FT51fxGuv34lXXzuBfzk2k3yPTC2WMdaXuyyluuMDBTICvFuf1ViL3G5qsYxX/85X8OGvnySPS8JVmsM5mK6ko2cXsFoLcevVcdnu7qECzgnS8JoxtSi7lq/Z2Y/Z5eq694wZmMccA3N/3l8b3JB4kuR9VwdGtz4GPP2WtMDEB9sWWAGzg24+PFyWHkkyW8ani0QlcrdYMmeTCfG6cUrqFAkGBMCk23W2uDO3b1scSqRiAMNitBPcYI0Aj39G3YbEk8RJHp3pdhK5HdGTVA3rEeBkoTEdGhCIIsDdgzJ3DYuYJGbQLeZ85y5uVeDrMg+vUyaJ6lmSpFxSKY+AkTx2FqMuKQNOsT2xWg2S5DcD42FoxaXVmlVqB8RMUqTXKyYmLUPS3pEizsyvOoNIANng3y768jSTVAsjlGvRpsrtuGQ7A+P1cPlgJFgq2/1W/Q4WkDLTx8l+/HD45Tpz9JrrJvCa6yawVAmSqOkLC5tfJNsrjA+45XZTi+WumaSx/jxmm9LzTl9cQRhp/N39p0g2yQxJzUzS3oRJsg8+T0zGqYMvOWCGpGLb/jdp39XhCRPesJZNml6sYKwv51wHxXK7xnvXFkLCYTt0JaVDkgW03I5Jt2MM57FERjIguJkkSTqba5Etkdv5hBdC4qeJb9/NhnGGc8DNREm8JPHxRJlsOxHg1iFn7d+0e7zUkxRE2vrhKmFBknQ725AkeA6VUvXwi/XHa12PYe8yuEGSbhe62EiBXKxIlEJLuqI8Qq4mYQO9urfP9ho2IsQlCYGdPYfmGrdfw2lww+WKlWqYJL8ZlPIZq/9uYbXmNKObwaJ5t7dcCzGzVF3PJI0U4zJIIr2rISHtIZPEyO2MhEc6JBmZWCdyO601LixU2CJZgwkmUU2C5apdSjhQyCQyrWZMLVYwVMxaN3+Gi1nMC5ikLz45hYM7+nBovB+vPDKGXMbDl56awqcemcQ9z0zj5n3DnT2YLcbEQB6zy9V165JqEGFupda1z2qsP4flaphszJmh5anzi3h88pLzuIbcrvE6D5eyyGU8XHCwkOaY0ZLxJRZEvUrNmF6sYFww8CYx4C0Jd9NLtESxL59Zk0yZMElCuR0QJ9ydu7RKVuJsNNIhyYJikqqz/kMoiOjghYRJouR2gmQ2aoFfC7Uo3Y0qk6UN4wQLIvwipCLAuZ4kc/tWJknoSfIcckOgPmR20ZNkFrh0BDjlSeL9KOZ420No9CTx6Xb2MllpjLp90G4wYV1GgHflSYpITxMQL7C4niSJJ8m2ey5KODRyPctDkJQ6m3NwslEB/TlAnX8tpP1MKbYvVmvhOiYp5+jWWyjXrPHfQNOQ1LTYNgutPa1MkiDhTrIB1y5KBBsMNAY8abpduwEGzZhfqaEaRGQaWDN6IbdbLNtDKQYKDrkdIaEaLPIdUcuVAF9/dhavuW4CQOwrefmhMfzDQ2fw3k88im87OIr/8003dPBIth5mQd+aQDez1F1HkoGRnRlfkuktyvoKn3jwtPM4M/A0v0+VUhgqZrHgGGpXqrFXrVCXzO8eKmKhHFjTKl1wFcG2Ys9QEaWcv45JmlmqJP1QNvRbPEle0zlLcGCsD5GGVUq8WUi/JS0wCyezGG2GvCfJ/vuapCOonmxm24E2kdQsk+IwjZvdZ8p4SrFhCQvCSgaVlcUAjCeIPNxZRJosbkWeJFdoAO+pSnqCiOCGThf5EibJ/M52/4YFoT5szOK5QgxJ3DUUJxS6z59jA32iTLYW0oOyJN2OYwOpBVZb6XbW95F5Dd33b35nl72azYrOBlUg3jCgQmCoa1DC5qbYnlithii1+BFzjrCfS6uBs+HeLL6bJTHGKG7ivw32CrqSpJ8L7aCUyzjDV4DGkCTtSSpkfRSzPuY68CSZjiQpkzRSyiHjuWOnJViqBFa/1UAhi8WKLbjBLYcbLuVYT9J9x2dRDaNkSAKA11w7jvmVGm7eN4S/fMdtKBBe2O0M19AqSXmTYKxv7RB2/lIZhayHN75wNz71yFln0qoZhFpf53hIsl/7K/XPgEb5rDsW3oblSoDlaihizzxP4bAlvGF2qbomka8Vpby/Tm7X1+Kv45Ak3G1hDHg6JFlALZC5HVi2J0mwg0uxCNLgAopJYhe3Aj8N2zNE+FECpgQzPge7zEjuSXL7uuLgCPLwpjLYzvwojUW+29NEDcsNTxAVvEAwSV1GgAP1QZVKSOSi7B1sIMCnq3FMkiQGn1pgVWrG1+V+DhvBDRYmKbkGaMki4ApAkXXK+I6USiB+HXId9izV0p6kyxYrluAGl7x5gfEkAViz2J6cjxcj6zxJAiap1+l2AC2ZBRosmJRJAuLwhrkOmKRkSBqSLaY9T8WJat3I7SqBVZ7kCm6YJnwmw0Xek/TcdJwkdsPuweRnb711P973huvwoXe9TCxr3I5IPGItr4fpgerek7SWSTq3UMbuoSLedtt+LJYD3HX0vPU4m9wOiIMcXEPtSjVAaU13Fp2G14p2y3Ov3tG3xhuktY7ldhSTVJfbmc3+5Yo8hdLAFMqe2kJfUjokWWCGGBcLIFncUYZtzpNEMTndBhdIepqS++8w2Q2In8NIO8IfBD1FrnQ38QKfZJIE6YDUcyAYFKnjJUwSlbAoCW7wPLenSFJGC8SLHSuTJEyxohIOuTJZlkkSLPILhJ9BItuUMEmSzwIbkyRJmTS37wpA4TZsyK4vRjacYvtitRomnw8GWT/eVGod6BdW3XI7syhr3u2dnC9DKawLJxgoZDFYyJBMkkTK3S5KObdkFkASXtDO4mu4lBMFGLSinSJZgwkidloCV3CDzZOktSajrIdLcbodFb4xOb+KUs5PZIlA/Nz+9B2HOy5a3S4wz8v0UsuQxERZS2GkZ6Yr6cKlMnYO5vHyg2PYP1p0Su4WyzWUcv46+fpQ0Z1G2LpRQhUM2zBFBHzYsGswvo7NwLNYCVANIlJu15fPQOtGANpyJWwr2c6cXzHrb2l4Q/otaUGG2MWP5XbUwir+NxkBLpDYAPbFTXs9QfYFLtfTlCEWd8aTxKbTUc9hFInYrK4ePxGhLQm+aAzKnfUkURHWEl/XgMVUbdCWp4hg47jjs76yDjk1YehA1ncv8LtlkgJB8EAp57vLZAVdU3TPEO9Lo46XpEwC9fcBIVmkhiQzAzmDG1K53WWHIIxQDSMLk1RXPzR9XoWRxmIlYJmkpWYmaW4VOwcK1utq70jJ2sWUnJvwc6EdlIRMklRuBwAjfdmOghsuLLS/mKZipyVwFeX2F9an2y2sxgtXFzswVMwi0rCm4hmctXRkXSkw5cutTNL0YgVKgZSOSZAwSfUh6dylmEnyPIXvuHYCj522hzcslu2SysFiNkm+a8VyZW14y87BApSSM0muPi0Xdg4WUK5FWKi/32bq1/SOAfdzZj5fTHiDK4SEglIKB0ZLW9qVlA5JFuQSuZ3dEyTpSXLt1nA9S0CzH4WQmwlM83aZDd/TRPtpZIu7HMHGSZK1sp5nj6+Wyg2J+GVRT5KESdrAdLs+i1/AQM4Eddk15eg5Svw0rLeOYpLoa8Ck67mkZpKuLWqBVQ0jKEUPqmaQtvYkmYRDJsI7Ptf1v5P6N6h0u2rQOZMkSSdMsf2wUh/6W4ck23eWGSDYdLuW4IZWP5LBvhG6K0kaRtIOitkMVohFfbvBDYBhkjqT24315dgNumZMDOY79iRprZ1D0kA+g2oQJaoCoLHwdTNJ8YLWFQYA2OPfrxTkMzFDNr203pM0Wsp1HThSymVQzPqYXaogijSmFhtx8cOlHBYrgfWzeKFcWxP/bUAxSau1YM1nQC7jYUd/Xs4ktTnwN6SK8XM3W/f0GR+WDf111sisYVzSUQ4HtjgGPB2SLGgUia5dHYWRhtZMKhkRnw3IUqUoJinxg3Dpbg4WQdTTRCyuJAMC0MQkWTwxnGTR3L6VSWpDbkf5YboJbpBJrejn0GfCMwwtbTPnVmohlOJlLS65WzUMkfUV/xw4BtWG3E4wZLm6qoTXQDdMEtWTVAki5DMeE2BSP1ciwptikszpudLlAIHcjvAkVcMIuYxA+uvoS0vLZC8/mOu5Nd0ua/m8NQusQccAYXavl5qDGy6trku2MzBdTM6CZGEYSTso5Xys1ELnfSaepHaYpFKnTFK5LakdEMvtLi5XO4owLtciRNouJTSL6uYBd5qRjQ0X+WS/yTn3kHwlYN9IESdm1i64p3vQkWQw1p/D7HK1HjWuk5APs1GxaGGGFsuB9T06WIjT7WzfHzGTtPYzYM9QQdyVNLVYQdZXSbkyh53158ewqQmTRMjtDNNlEu46kdsBsS/p1MUVUia6kUi/JS1wLZBrAomMWfO4XtA43U4W3ED5SXgmSVnPQdLTZG6a9NNwTIxF/mEQRoIIbkfHTqUNuaHrNYi03JNEFep2wyRxC/yBfPzh5WKSuAW+OQfb/VdqEXv9AO4hpyYInqDuH+Blq+Z4l9RM4kkqZt0LrGoQsUwc1ZMUigZlakjR8BSfskgNivIQmc42KlJsPxhmdJ3czlIebaQ6LiYpn/HgeyqR22mtce5SGXscZan7RopYqgTO3e0gitnZXgaCFHM+tLandAJNnqQ2dqhHSjnMr9bIwnYbLrRRJGtgBpaZpfbZJLNB5iqTBbDGl5R4a5zpdvUhadU+IK5UA8yt1K5YJgkAbtozhKNnL635TogLcrvzIxmM9ecxs1RJ4r/N9WLeg7b3ziLBJEUaa7qGDFYt4S3tFMpOLZYx3p8XyyrN5sCFOpNkrmdKbtfaw9aJ3A6IE+4qQdRVSmQ3SIckC8zubusi3SxWqCGDWhgBJt1OJvWimBTOT+JaXMl6mrpnknKJJ8kRfiF4DsjH7zNSM4dUDBDK/cz5E3IzSYS3K92OW6D2JVS13ZPELfABIkY9jESSEVfPkSQCPf4905PUxYAgS7fzEUbaPmwHoWjQBhzePMH7gJLe1iIZk0MFkNRYuR0dHpJGgF9+MGmNxez64AZgbXm0kVW5PElKqTiBqr4Rs1COPS2uXfX99aQpl/QllnD2dklRSjoL7YzwUr1HiNtsaMZwKQetadmZDTGT1B7j0Iidbn+BZ14Xm9+qwQI2D0mc3I5mkkxH1pU8JN24dwhzK7UkgKQShHj6/CKu2zXQk9vf0ZfD7FI1SUI0gQqGKbIPSXZPEjVYmTjtZuweLuAcwfQ2Iy6SbSOApH7dm3Lb6aUqlGqU2dpgBiLzmdXqo5LiwFgfAODk7Nb4ktIhyYJG/PPaBZ4k4pQznEvkdlQymjjdTtllOtKeJsA+6IkXyEZ2aJFrRZGgTNanPUlZQmYEMIW8mt/Bp84/3AQmKdkptA5JITskx+fgjlGXDFlZX6HqSEg0t08e79F9X6xkk3gNA4Fkkk4IjPiNBgGTJBmUrZ4koSfIFYUPxO9lSTpf65Cnta4PqenH/+WGVQeTZPMkNeR2bklNf76RkmZ2h10G9kM74sXKCcdiJZZw9nbwLhHF7kC8idRuLPVoX/x8tCO5qwYRZpaq7cvt6otL4+VoB0ZKZ9t9N+xSs7F/aqGCQtZzhlgMFePXdd4xHJpQjitZbnfTnjja/InJBQDA0bMLqIYRXnpguCe3H8vtKjhf9wa1yu1sA89CObAySabfzNaVFCdctsrtiliuhkm4AoXpRTq+uxWlXAYDhUziZZpZqsQ9YMRa1niSlpo8Sf0dyu2AretKSr8lLchavnCa/59kkpjgBklPEdXRUxPqvuN+FfsCV7qD7pLpxH/DLJAz9ufQ3IZkUCM9SYLgBtfiMtIa3Pq0254krmuKe/z9hbV63mZUahHygtZqV89RJRAySQ5PUyB4H5jjgc6fA2pAiATHN9jAzp4Dj3gNJb4086tuPEGu94HWOi6TFcjtWp9Dybmn2J5wyu0sEvFEbkf4DmImKf6MMalcLp/B/tESlAKOzziGpA2QcJaIjQ6gnv7WRmgD0AgwaKcrybA00iJZAyO364RJSuR2lqFn0OZJWoo7klwSqmSh7hgOkyLhK5hJun73IHxP4ejZOGnuoZNzAICXHhjpye2P9ecxu1TF2UtlZDyFsfp7ybwHbQPPQrlm9yRxTFLLdbFzaK0kjgJVOuzCzsFCctuzS5UkLdCFRvhUHFixWgs7ktvtHSnC99SWdSWlQ5IFriJPScQpWyYr6CdpyN3spnug856goA0miUp2Yxeonv05ND/jgx/sC+RaGMFTfGgAVSYrS7czTFJn6XTc8dyQWcz68BSshYFiuZ0rAlwg+QRMBLg7tEAS3BD/vf06ZAdtRwS51lr0HFKvgYRNSzY8LEOOxJdGy+34lEtz+1RCoqRMtvX+pcEbKbYfVpjghmobwQ1ALOs1kq3EZ+AYkgpZH3uGijjhGJIkKol2wcntFjsoqBypD0ntdCUZw/rONj1JO/pzUKo7uZ01AtzmSVqokOWguYyHUs53yu0m51fge0pcMHo5opD1cWS8H09M1oekU3PYN1LsnSepL4cg0njmwiImBvLJZ7CLSaoEIapBZJXEmkG49Zgw0ijXIhRbyuQNMzTDXGvVIMLF5Wrbr/PEQL7Jk1QlQxuAtcENhgnuJN0u63vYM1zAqZRJ2j4w8cOti6tkcSGS2LgN65xULOvYAQa6Z1JkniRqB51P9QKaeoYcC9QCw4TEC3zbkChjQbIZewM9IEu3o9i0KBkUiWHZIdkE4tABbshUSqEvn3H0JLUht7PJBQXhIUD8GtpYGHkEuHtQljBJuYy3xmNhYC5LcYx7h0wS+T5oy5fmYJIEr0Ec427faABoRtkl+TTPRy9LP1NsDlZr8edBq7bfGtywGsBTdPJbfyGbSHpnGbkdABwa73MzSQKVRLsosp6kWlsdSQCSRK+2mKT64rDdhWXG9zDWl8N0B4WyS0Rwg8uTxKW0DRezTrnd5Nwqdg0WrvjNk5v2DuGJs7Hc7qGT8z1jkYDGBsMTkwtrQj5cQ5IZcilPUmtXkilXbk2KG6+HKLSW5bbCbIa0W54bM0kNuR03JPXljNwuSAb+TpgkALhqtC+V2203ZP31i2zJwoTzJFUFiyPKk1SRepIc6W61kE82ox6D3LRf39m0LPAkTAjV8SNJZnPFVwOydDsqPEOS8NetJwlYK4VphsRPA5j4aMtrKCjTBdyvgYRJi493y+2CiC8zzWc8a3Ruu9eg9X1U4wdNj9jwkDBJ1IaJdEHpDGAJeNmtSy4oGfBSbE+45HbWnqS6X4dKsOrP+8lnjMSMffVYPCS5fIa99rklcrua3Wfh6hGiMNwBk2QWtyPEc+PC+EBhXYGpBEsV+2IYaAxOa4ckmkkCgCGiI+rsfPmK9iMZ3LR3ENOLFTxyeh7nF8o98yMBjQ2G8wtxkaxBMesj66v2hqREorf2GNMb1rpRYoaWmSX6uk5SENtlkgbzmF6sQGuNmcUKW76b8T0Ush5WqmGS0NdJBDgQdyWdSoMbthfiRbZDy08sbsyXVaXmKNEMeZmNuf1u0u2cRaCCVCsqoU+abtdgkmxDEr9AdZ1/zABIQgc8RJruKaLgE1IxM3xSi/zkObRKFmUGZyeTVJPL7WyesDg4gz3cGZ7ReB/wcjnA7kuTJPzlMp41+te8phybSQ371bCd4Ib1v2v4ety3oQi5Xiy363zQrdRlt1RfmmvQrwnlkim2H9w9SeuZpEoQIp+lPyf685lE0juzFJdqUtfF1Tv6sFAO1rAw5vqSfLe1C1G6XZuepMFCBr6n2gpuoBazHCYGOiuUNa+LqYNoRj7jI5fxEpahXAuxWA5Y2dhwMetM9buSi2SbcdPeIQDAh+89AQC45arRnt12c7lqc8iHUgqDhfXlsOa1sL3G/bkMlLIMSY6NkqFiFllfJX1ZLswm8d1tepIGCqiGEc5dKmO5GrJMElD/fKkEyUZMJ3I7IA5vmFuprWPVNgPpt6QDNtO7JNUr43voy/nOFzMQRP8ar4VNJiQNbvCUO/hAXCbbjScp6Xpaexsmkpn3VDmKUNtgUQC71EuSbkclm20mk+SU24mCG+y+rEDgyQLqniCHVAwQ9CQRfV+S5yCf8dc0yjeOld1/lrj/eNDkmKT431S6HbVxTg5ZIT8kAu7wCvM5IPEk2d6DQBrccDkiWSBlHZ6kNUMSz7r3rQlu4HeHTcLd8ZklAMDXnpnGTf/1Lpy+uCL6bmsXxndBeZLaZZKUiks0Ly7LF1yL5RqU6myRFw9J7cvtliuxXNIlTR9oGnDNwpiV25Wy1p6kIIxwfqH8vBiSrt89CKWAf3rsHApZD9ft7k38N4A1YQa7W/xrQ8XsunWhGb5tniTPsw9WhpVpZZKUUthR72miYJjEYUc1gAtm6PtmXaooScczny9dy+3G4oS7rQhvSIckB7KWXXRpqtdgcf2FDcSG81rI7yAnniSr3KyN4AabzCfSXcntxFIrh9yuwYQxpnkidEDiSco5hjTABDfQx9NsWrTmb2wwvrZOk90AWm5XEDBJvmf3ZUVaNqS5BlUJoxofTweAcO8Dl9zOzDySCHHX/UuuIyq4oTFoUNLbtX/bjJqgTBeIPwusUf4mCp+S/joGfYm3MsX2xEo1RM731l07CZPU9H6RbCgN5DNYqgaxhEZgxr46GZLixcrnnjiP1VqIzz5+TvTd1i7Mbrkt3U5rjaWKvWOGw2hfDnPLbTBJlQD9ufb6mAzGB/KYWaq2XV7LySUHCo34dq4jyWC4lLXK7S4sVhBG+nkht+vPZ3BwRx+qYYSb9w339Jod6WsMSa3Fw4MWFm+xPjS5ruHBYmbdWtJVAwBANCSZ23OVTLtgOsKO1ockqkjWoJQzQ1KXcrtR05WUDknbBvGQZDc8c4ubIQelnZTRikMD7Is7gB+SPE9ZmaCapMyWkPuJ5XaOZDHDDHBf3q5ktWoQijxJCZPkkGuJgxusC/z6fQhuw80k8Y+hOXmqGZVAFgHuYoIkckMgfg6tEe4hPyDE979eAtR8G2whsUNuFwiGVIBO14sln/ygDtBsInUKHjlkyRIGbQEyQOM5lfQkrZPbCbyVKbYnVqvBOqkd0LgOmt+vVUE4SV8+A63j4StmkuhF9r56HK9JuPvXYzMAgM8fPS8qSm8XZrfcxiStVENoTQdTuDBSyuFiO0OSo/BTgomBPMJIt3V/AOoDIBHfXmgoDYznifUkFXOYX62t85RNzl35RbLNuGlPLLnrZWgDEH+mmuGjdUgasmyeczLOmH1auwZYrrq9ajv6c+IhyVUy7YJhkkx8erO00IX++hqm4Unq7D10YMx0JW2+Lyn9lnQgYw1ukA05LiZJGr1LLe6k6Xau+OdawEsizOLOLveTFYk2Bi0Hk8Qs8l0R3qHAUwXQC3QtCG7wlfs1MI+JL6S1swChMP65P59NaOpmSEIHALdUK4w06+cB4kHXLpUzmwWdD/uBwJOUz3hWb5+kzBdoDo6wyza591ASfOAYcnxPkaZ4akiSdsq4PElVwaDjYjOlGx0pth9WqqF1B9lcB6YiIv5vfkhqDgCImSR6dzjrezgwWsLxmWWcvriCk7Mr2DtcxMOn5nFmbrXn7GQh60Epe5ms2Z1u15MExAb7i215kmodQTKaxQAAIABJREFU3Q+AxCfUruRuqRyQO+8D+WzCRDTM+IwnqZRFNYhQbvlcnZyPd+j3PE+GpBfWfUm3XNXbIQlohDe0dmrZhqSFhEmyDyy2Y1br74Vidv31uKM/z3qSLq3GiZDtfv4blrLBJMnkdivVsCG369CT1J/PYLQvh9MXVzs6vhukQ5IDWd9zR4AziyubjhRoXthwi0u3l6IayG/DtrirCiQR5ovOlcoluf9G/HMrkyST22V9ZY+fFi4uk7QnV7obMyR4noKnHCyAlp0DzSRJhiQ/+RJshrQnKeuIjxbL7Vw9SUK5liu4IYo0Is0v0vMZ35qOKPXUuK5BQMbGUcXQYcSfPzUkSqL449uwbxY0PEntVwFISrFTbE+s1EIrk5S814IWJom5PgwLM7NUwVIlEJmxrx6LhyTDIv3yG68HADwztdRzT5JSCsWsb2WSTHT5ZjBJHKtDwezAn7/U3pC0XKX9Vv1NcrvpxQp8T2G0jx5yjQ+l1Zf0fCiSbcbrb9qFN968G7cfHuv5be+oMyw7B1vlduulcwvlAErBGWNv9SQRqYfjA3GZre07K7nP1VrbLBIQd0wNl7KYnI8HlTHmWovPsSW4oUO5HRCzbTb7wUZj2w1JSqkPKKUmlVKP1P/591txHhmLn6Mm3EEfKmbXlLwZBEKZC+2liD1F1A42EPshXDv4lNk7PtZ9//IiUXv8s1Ru53sKWq9foLYjFQNccjueBTLn4BpypBHadjZMZtrvL2SwXA3XSSOkEeCUJ0ryHNp8eeZ4QHANOIZ9M7yL0u1qluCG0IQmyIIjXAEmUm+e6zXk2EgqQlyaBOZkhIWfJb6n1t2/xE+VYnti1cEk5RImaa0niWWS6oszo/XnmCQg9iWdmF3G147NYGIgj9fftAuHx2PPwEYM3qWcfUgyoQWdDEljfTnMr8h9Qt3I7Y5M9AMAnjq/2NZxi2W6KLfVkzTWl2M/140UrNWXdGZuFWN9OesAfiVi/2gJH/yRl3Z07XAY689hR39u3XvP2DCav88XyzXS62azbqzU7AmXQMwkBZG2btIbXFqtte1HMthZZyoHChkUmORMIE7oW26S27WGTbSD/8Hem0dLkt31nd8bSy7vvar3Xi3dXdXV3epVVreWllRICGGBjAxiMW1gAGGwzQCW2Tw2mMOBozOe8XB0joEZ7DE2YOENsDAwYBkNYBtkY/DxWEALgdDSklp779Vdy9tyieXOHzduxM3IiMz7u5F7/T7n9OmqVy8zIzMjI+/vfr+/768T+OhXrAfmzap+S/5DKeXD2X+/tYwDmBjcMGVxUSWRAoSG9ykR4DbBBXoHurzAjmzS7SY8fkzexR99DbXMP+055Ha5dPw9sF3gq+OtU1Km3kXtrCmbYbDq9tV2N9vnsN0OkKRyrC/HNt2utsiR0+OzgQkLdMt0uaBGSSrsXtODG6p6klLLIsuvOQcBOyVpck+RxePntx//tyi1G+hbV+hGlopy1awr/f5Nm1PFrB4nwxhbFTabKnuxld0uWyR+OptBYqMk3X1uGyfDBP/5I8/iC+87ByEE3vzS2wDMp/DutvzcYmRy1ERJ2m4hlePDPes47NNT9DS73RB3nOniw08fkG43LZTilJF++tzhALecnv7e6dk75SLpyeu9m8ZqN2/e+oZ78Pe/+qVjP9/thkjl6GyracV3VevGyYQ4bW2Bm9SX1KRI0ueYzXUCALbaPo4HCY4HMbqh38ji3Wn56FesB+bNqhZJS6eq6T2PPp6abqcuXmWr09AikQqYHB89TBKrIqmwzI3+3CZVa2K6naXVqq7QKux2brv49ipIlq4XVy1w7SKwg7qeHut0uOrwjMRygay/lE1VUkeoW81JqulnSa3VuHHLqT4GgBDBXd5ssLx9O/Ar0+1sExbDmnMwTlIk6fTXsDgHx/8tSdOpRYY+vMrNBssm9ypFGzCsuzYBLhUbDcD0zR5m9egNa+x2QUWRZBkBDgCfydLqpgU3AKpIAtSG1+vvOwcAePNDF9RxzKHw3m4F1Xa7vntPkral2Vru1GLWbWEJAA9eOI2PPEUrko4H8cQejlOdEEcDlUz43MFgaj8SAOx11fO+MWa36+Hi3vTbM9N55Z37+MqXXxj7uS5MzKLnsB9NPK92uyEGcTqioOjPQrdCydFK8KS+pEZFUnaO2SjOQJbQO4xxNEicQxs0ncBDv2YUwDxZ1W/J7xVCfEAI8S+FEJWddUKItwohHhVCPHrlypWZH0DVIE3d3zLti0CfgGXLXWx5ez9vOHezCan7GA9fkFIisrHbTZgRlAc3WBZa5Z6gwm43eYFa10+i+oHsVBSgRkmytMt5wn0YLTCLniR1UTF9uLbDhPXjVw9ytQtuUEpS/ayuae9DbaGb2BU504bJ2vYElV8D24TIPMK7JnjB2m5Xs9nQREmiBLiUj982HZBZPeqDG8bPdRvXgd7FLpQkC7vd2e38z7pIeuntp3HX2S2nXodpdFs+ehU2G70jXzWIcxr0IinCaUe7HQA8eGEXn3rhmNRTMW1Q7k5HOQ16UYIrR4OpyXaACm4AxhW0F47siizGnaoi6aA3XUkCMDJf6WSoVJmqNYw+B67MSUm6lagk6fTM548GjfqRANUT1a+YmzhvllIkCSHeI4T4YMV/jwD4aQD3AngYwNMA/q+q+5BSvkNKeVlKefn8+fMzP8ZWVQS4ZbLb6U71hcj29nVWNfUziTCwW6ADowtUZb+zUbLqZwzZFnrFQFq3dLugZoFtW2AEFfYTTWKRbqfvo8mcI6XkVKfD2dxe77yY8rxtTxeglIL6Im/qzRH4AmllX5idopov3MrBAamdVawdeBgmaWVfGmCvZJVfA9tC05sQ3GATfjFp1laUplYpjfU9SfpzOL1QrZuTxMEN68dJnZKUXW9N5XVgGQEOmD1J0xc/F/e6aPke7rtlJ485FkLgl9/6OvyvX/mg3RMhUN+TpL5fXZSk/S37ImkYpxjEaaP+lYcunoaUwGPP2KlJUkocDePahn6g2ES7fhJlRY59kWTa7ZJU4novGpnxw8yevODpGXa7weQQBV2Ym31Jx8OktuDQn9/nj+rP6xu9KLddUtFhFJQiCVB2UNdkO003XE5P0uy71iyQUr7J5veEED8L4DfmfDiVBL5A3K+2qdgENwAYm65sE9sLTJmTZKkkVRUZ+cJq2g66P2kHnBYBXl7g2drtghqrlm3oQV2ymroPu0LLq0gG07e3UWJqlSTLnqSdiiJJ93S1LZomfb9aCbJV40zbZ8s43shSCcqL7bH30LInKSya0Tte8Xz17ae9B1VqKlCcg9OVpAm9eRZ9ad6EnqTYcvBmXaFuMycJqJ6zZBu+wqwevahaSfI8MWbNHCbTA170NeaZgz522nbN2L4n8BUvuw0vzWKUNeW5MLOiGwa4ejwe/XvUIDFLxzTbFEm5YtVESbp4GoCKT371XWem/r6eATUtuAFQKmAqpw+SBdRCs+V7uG4suq+fDCGlXVoZ407V5vlhP8a95+vf40J9KtYAdZZb/fuhL2p7kvpRgkGcNlaSzlrb7dRxPnfQx6WGg4o7oTcWXb8IllIkTUIIcUFK+XT2168B8MFlHEfgjStJxQ74lOCGGknbOj574hDMFC2LfhSvwjI3zAscu9CFyTvYbvdhGwFed3tqcEOVkpRKSjqdewx5VdM8YD/raZLdzmaBHdYUabZ2w7p0OP132wCQ8aHMlul22f0P4nRk8Vak601RkrzxAZsA8t2ozpRzMP8MVQY3TH8N9T/XbTZYn0NVowCsxwnUK0mznmnDzJ+TYVybEFUOarHZUGsHXq5W2vYZAMA/essrrX+3KVs1wQ2HgxitwLPqzyyjlaRrFrOSDqfMsrHhwm4He1shPmzZl2QzA0oXSZ+8oqyS5y3sckII7G6FuGYUh/o1YCVpvuSb56UiycpuZypJE3rVhBA4u10/K8l1kKzmFqKSpK9VVw4HePFtp5weU9MJq22382bliiQAPyaEeBiABPBpAH9zGQfRCsYbpm0XF3rHwJRVAUJ89qSeJIvEIvUY40VGTNh9Vo9fbRWbNkQTqH8OOtLZXkkaX6A3HSZrG9ygFpjjP09TaZUMNmmY6zQVBTCUFMNCY2tVyx+/qkiTEjZOq2BEiSkWIvo8mrbGrusLs+1J0mqZshgWF/XYUonS71H5PNa7UdN2zfXxVSYcUux2lQmB0wNU9H1MVJKm3EfL98ZmTdmmbDKrRZpK9KO0smEbyGbLEXuShBDY6QS4fhJZhTYsgzq73fHAPXGuE/rYbvl4YYItSdMkIEIjhMBDF09bJ9zZzIDSRZsukmzS7QClGJl2LP0anNniImmelDfPpZQ46E0PbgBGXUm9mllpmvOn2rVKkn5sVyXpxbeewhc9cN56vpQ+f+NUNrbbdW4mu90kpJR/ddnHAFQnm9mGFlQ16Knb61Qp9+jiYZygTQhuMBd41n0MYnK6ne0OuHrMaqvT1CKpxiplW2BMstulcvoCH9AL1GolyS4dr7kSpX8/v63le6h+pzoZzUYFAernZcWpmvEzfVZX3e3tepr0OVJOuMvtelMeP/SqzwG9G9WZNkx2Uk9RMn2XfpISRUm3q1R0LRXFylEGuZLHdrt1Qp+3VXY7QG1+DUt2O5vrxHZLFUkUJWmRqAjw6jlJTfqE9rdblkpSc7sdoBLufu5/fAaRxftybFEk6X/75PNHAGDVkwSML6L1azBtEC3TjJ1WAE8U68J+lCJOZb6pXkWVRW9a6uG5nVZtcEPTImm7HeDnvu01pN8v/tw8uGGwBLsdf0vWEPhibHFmG1pQXyTZxfbWhRao+7AMbqgodGwHUHqegKhJdosseyk8T1Smw1nb7Wosh7YFRp2SpItGa7tdRT+JdQR4RYw8QOuJ0r+viSwtk0C9CpHaFnm5EuQWnhHWBIDYptPpIqmccGd7+zq7YG63m6IkTQpuGMbTPwf6+MqzygBKup1XOVTZtr+wFXjj1zHCOcSsDlpNqSuSQt/Li+cklUhSaeU60It/WwvNotlq+TiJxodqHzVQkgClqLxg0ZOk7XaTFrM2PHjxNIZxmis/k9CDcm16kvT92b5/53ZGi6Srx+r5cZE0XzxP4HQ3zFWhwsZp0ZN0YqbbTVaSzu208fxh9Xmt72dvDimUVewYhVHjCPBQbQLZDoCeFVwk1dDyvTEVwza0oBN6CH0xFtxAnTFUOSeJGAFe1ZNku4NdPUzWLpVL3cd4X5d9ul293Y40TLYiQhyYrkIA9UpSYtkXNfE1tLr9eJFhW2gD2ZyjdHygMGXOE1A1Z0hazdjJz2PnOUlZkRS5FUl1iqxtkTTRLpek02cU5UXu+L9FqaWSVHMtsP0st4KqlE62260jWk3p1uwiq/danRdDy3ASoFi8rK7drnqo9uGUiOxp7G+3Rnpz6sjtdg0XeQ9dVEEXH376xvTHtLHbZdHnn7t2gt1uaBW6ASil4fmjQf69cPVYFUz724tZON/MnO4Uw2EPLBTKVuChG/qlCPAE25OKpEwprNrca6okURlRkmaQbgdg4ZY7LpJqCPyKSfWWoQVCCOxWTEq2VXIm9iRZ+MyB6mGuFKtWnQphq+ToYygXGTrC2ma+i3q88gI7tba6ARjrx8iT0WznHFVISbGl5a8u3c56zlJFT02uZhLS6caDF+yfPzBeZMQWg1QBI7ihVkma1lSuLorjPTV2c37qhskWPUl2ttMqNVHZ7aYVachuX6MkWfWVVX8O8gCPKa9hOFER58v/OnESqUXVRCUpO1lt52gBxUL8/Kra7bLFUdlydzSYHJE9jTPbrYWl2wHAPee20Qo8fOjJ6X1JxxaPqQtEKe2tdoBSGvpRiuPs9bx6HGGnHTgFYDA0zHXhgaVCebobjKwllZJUf16c32kjTuXY+hNYfJFkhsw0V5K4SFopAq+q4dkutABQ6SEHdT1JU3sZ9OPVBTfYp9u52O2A6p4sQKdy2Z02VcNMB5kSNm2RXreDnqSwWqDrQrJc5KRaSbIsEtKKBW4qbXuKquObqT1J5mlY9MW5qxCp5ZyouiJDHb9F8ER2ng5KFzXb59DKlaTR2+v3ZNprWBQY5XPQ0m6XPcVqu930voI6u56U0vo1rEt5jLJ0vGmfo1bgY+BYZDKrxUmuJNUXSfo7a5DYz1PbWQO7HQCcRONFUhMl6cyWXZF02GAek0nge/hzt52yCm8o4s3rH9P3RP7a2IY2AMX7rBPQrp0MWUVaEGaRpBXK093J59VuNxwJATsZxlOVJACV4Q1N0+2omMfZvCdJXcsWnXDHRVINrWA8Gcw2tAAYlVXz21s2rAshsvjoquAG24Zv9daai3yK3a5WSbLcAVePM14kDCJLJazWbmcfnQyMqyC2Tf/AhDlHhOCDSiUpsVeigJKSRBgEWtcTFCepZZFYnU5nG1+tL5DHg9GLmu0w2LqeJP0aTFWSas4hqt2uOgp/epGUh6fI8SITsP8cAkUiIOXxAaDli7xPpbitvRrJrA5aSdmqOW9bRlALxW6301ptu50uCssx4E2DG87stNCLkspQCJPDvnvUeJkLux2rRL0jC7sdUChN5wnvXXkR/cLxkJPtFsRokWQXLW+uJdNU1s5K0+gAlqrwhhu9CKfawcI2yALfy4ubWaTbAVj4rCT+lqyhaj6JbWgBoBZ4ZZsLZXFSV6TYDAjUtwdGF4gRwYLh18xniVL716DqPgZxYnX8hQoybhWy6kkK6oIb1P9ti5y64APbQq023c6yL0z/voaiBhbnQOk1kHYqQu2sKtvj9z20Aw8nw3IUvm1wQ2a3i8vHb3d7HUBSPof0oqhj2VNUpSYOLa4FVcEbgNkTZNdXBlQpSXZN+eXEM3U8mZLEPUlrRRHcMH1OEqlIypWk1Vwo6+dbjgE/bBjcoAuDq1MS7g4HMU43VJE0VWmTVRz1YwSesB4GrOfX2KDf5+e1knQ85NCGBXHaUIVsUxPNwqofqyHDWxPO+/MlpdDkoBctTEXS6HN0Ful2ANvtVoYg83ebTe+k0IKKZLOi6d4ueGDWwQ3FfBTbIm3857YqApANM62w21kVSTXx0Yltul3NINEiuGHqXUwMXrBWomqGydra/fTva/TzsbFqhbWWRVpwQxNFdacd5Lui5uOr+5/SkxTWKEmWShSgzoPy8+/HtDlJdcEN085jXYiXiyw964pmuRwPbrBTksYXZcU5xEXSOqE3GybZ7aI460nK52hNX5isenCDVqTNImkYpxjGabMiKSsMrk5RdtTAz9ksLKvmllVxnFkJp1n79XFRepL0IlorSVePhzxIdkHsZm0YekYSMF1J2jUS8bQrY5KSdD5XCsfP6xu9aGH9SBq9ydG0J2lZwQ0rNydpVWgZC0xz5o5tP47q6Rl9M23T8YAJSpJtcEPFjBd6ul2FkpTYDcEE1E71WCpXnOZDQic+fk18s21oQl4g1NntLCO464IXrPpJ/Nmn22lVxHaYLFCd8OdZRYDXF1m258BW28+bkDW2SpLeDNA9RObjA5TwDcd0uxolCNB2tyk9UTXpdtQAFWBcDYvi6cER+jHq5kxxcMN60ZsWAR546GULL4qS9NWvuIhO6M1MLZk1hd2uuA4cW/TsTCMvkqYpSf2ocbKdxlZJOrS0EuZ2O0KRdGa7BSGAK9ki+irb7RbG6W6AYZKiH6U47MfwBCb2F6nbFEpSb4qaDKiiKvRFbU/Soouk7fZsiqRl2e1W86q4AuhFoOn9tx0ACahFbHlxZpuOB1Tb/QAd3ODWz2I7gFLfvrofx/41qAp/sLbbTegpsp0RJMT47bUyaDUnyReVw8sGcYqtrekfHb8iuCFNpbXdTddhVQmFdlat6gV2mkrYrI91kVUuliOCmrjdCnA01pNkp6RoJalukW9VaFYU6v1IqbG2dr0qu11kE9yggx/KPUmU8I0aJckmghyYPCeJhaT1YtqcJNeepPtu2cF9t9w3o6OcPVV2u+OhLpLcLTx5kXRcPXhTc9SPGyfbaaoi+auwXczq47rllL3dLvA9nNlSMeC9YYJelODMilotNw39nl7vDfGejzyLB249NVUtPN0NcdiPkaSyOO8nFFZCCJzdblfa7W70Itx7fqfBM6CjZyU170lS1zK2260IxSJ91K5GmRE0HiFOLFIqrGaJZU9QZU9S9mdbJao2uME2ArxiF9/ableRrCaltLaKCSEQeh6GNXY7GyXFr0n4O+zHVr7e0BPj/SCWyWzqd8aVoGFiV2CYv1OlJFml202yPFp+DnbawXhPkmXwQp6OV2O3s1LDKj5H/SiZOqdL44u63kBpPSdp3G5H600EqnuSbK4DYYW9J8rUcZuUTmZ10KlOE+125SJpA9TCPN3OuI5MmxllQ1EkjUclmxzOsEgyB/5O4qAfWQ2vzePbCUoSoAeODnAtU9FYSVoMukj6f//0KTz2zCG+/QvvnnobHc3/3GF/asKl5t5btvHhp8ZTFJerJDXrScpHAXCRtBoUEdKGEpOk1olQympW00thrSRVF1kkJanUU6XvexpejZIUJam93a7iPuzT7bIi1bg9RUEAqtU8UrqdqLZaHfQiK2tKlbXCdkYQUOz0V6Xb2c3KGk+nk1JCStqcpLHz0NLyCKgLZNlul1h+DvII8Bq7nW14RJWaaTt4sUqJAvScJMs5SxXpgvq+pz5+zcw0256kqgAZW7sos1qcDGP4nqg978w5SQPCd8Wqk9vtjMXRyZSkPxtOd0L4npiqJCm73WwWlmEwvnFWxUEvtlSSsp4kQgQ4AJw7pZQkHYHOPUmLQb+nP/VfP4ELux088vDtU2+jlZ9PXjnONwqmWddefdcZPPbMwVg/8PVehN2tJRVJM0u34yJpJQgqGv8pO+jhhCLHahBoVXw2YXewyqYzJNjtAk+MxQ4DtGGylRHgcWIVpRpUWL3yXhbr8IzxIoWWbjd+/FJKtctn8QVWaXUiFHo6Ct610K1Kp6MUiXXJakma5irTNLbb/tiFOspfg2nDZPWcJPe+srBCzewNk6mDZDWtip4ewC6K36v4DAJGcIKjIqwf37YnaTy4wd4uyawOJ8ME3dCvVQDN/jP9fxvVftXZqghu0AXTpAb2aXiewP5WOF1JGszQbmfZk3SjF02dnwMAl+/axxfed448VPfcThvPHw3zIuksF0kLIbfbnUT49i+822oT4568SDoqlKQpmwOX79pHKoH3f/Za/rN+lGAYp4tXkrLPaNOeJO3+6FsosbNk/a+gc0IXQ9GIkkQIbvCr5yz5FgMggWolifLF51UskCl2O9/zRhbnmpjQtK+GybrZ7fTi0CxS8+hnS5tQ6HsYxCm+6if/G/7Th54BYKTbWfXkjC9wB3GKKJFWX5pV/vPE0mpWHIOofA+tepIqFtgJpSeroq9NH4Pt8W+3grHoXtuepMAT8AQqIqwJamBNT1LHcuZJK/DH7H4AbU5S+WOUh2+QCt3xQscq3S7wkMpRRZwy64xZHXrDZKLNphW49SStOvqzOlIk6Rj/BkUSoCx3k5SkNJU4mnEEeCqrHQomtna7L3/ZBfyb73gt2TqriqTCbsdK0mLQ7+luN8Q3veZOq9vcerqN7ZaPTxCUpFfeuQdPAI9+uiiSFj1IVrPTDtHyvcbXojzdbspcs1mz/lfQOdGq2EWnhBaE/niBQNnBrUrlGhIsFPpxUscZO/U9SfYqQliR7qbS7ex6KYDqCHPbBXroC1w/ifDBJw/wkWzKeZ6MZtXP4o0tTnVsp80XWFWymO1A4eIYRhW94j10S6ejqDBVhaq+D9tktO2KCHDbniQhBFqBN1ak2EaIA3UR4JMXmyZVdrU0lVnq5bSepOx4x4IbCEpSTcJgZBngon+n3Ftpa5dkVoeT4eQhkpvak+R5At3QHxkmOy3Ewpb9rRauTVCSjocxpCxmSTVFXzMmqUlRkuJkmMx1x//cThsnwwRPXOsB4J6kRXF2p4WW7+Fbv+BF1sqKEAL33rKDTxhK0rTz/lQnxItvO40//ux4kbRoJemvvPZO/IOve1nj+1mW3Y7T7WqoUpJiSvx1RZFBGUZb1c9DTacDqgeR2izQa9PtCLvQVeETSkma/sVWNQhVFwsUu5++MOjnbjuIVP9O+SXQ8wqs7XZJCillvtNHKVL0740U6qRCd7yvjqLCVBWq+v58ywv8TtaTVPUa2JxH7cDHIKruSbKxXdZFgNsrSVXBB3abFXXDZCmfw/o5SRJbLfvNhmGc5oUhJaWTWR203a4OsyeJsqG2Dmy1fBwPzZ4kVTBthc2WMGd3WvjoM4e1/643eGY1J0l/7gZxWtsXebCAHX89UPajzxzCE4tfON+snOqEeM/3fxFu3++SbnfPuW380aev4cRiTpLm1Xft4d+//6k87GpZRZJKz2yeqBdmibT9mJWklaBqxydKUuvFbeCNe48pw2ir+nkoX3yTBpHaDqOtnJOU2gc3qIG4ZbudXQR41SDUoifJ1vIojCJJ3ZZk1aqIYT+wnJINFLO2yrv4gH2hV+5NowwCrVKS9NOhKEnlYtmcHTaNrbaPVI7ONqAogu2KIiUmvIdVwQ39yE7NBHRP0uhF2fZzpJ9fWvH6AZa9iTWzrmwiyAEj/CIpngMlpZNZHXpRPFVJGm6g3Q5Q4Q3mnKT+lKQ/W/a3Wrh2Uq8kHRKu9zYUym69kqS/Y2x6klw5l6XhfezZQ+xvtazs18xsuPPslvU6UnPv+R08eb2H5zNr6KQ5SZrLd53B0SDGY88oF82Nk+UUSbNEKcrck7QSFMNIRxe4pDlJVbNNGihJFAtF1Q500whyQL0etna7ynQ7y2G4VQ3r1HS7lqEk6deOOoi0XCdS7Hb6eQ6rlBxLu1N5oK0eRGvjQa9aYCcEJa3oaSrP2bHvSdIRtceGVYZil2sF3lhwA0UNrIqh70f26XZV4RuFojv58f08Anz05yQlqSIKX98Tfq0vAAAgAElEQVRHK5h++7pCndPt1g9lt6tfHOk5SVLKjSuStlr+SAT4rOx2Z7dbuHYyrO0ROsycA7McJgtMLpIWseN/fkcVSZ+8csz9SGvAvZkS8+GnDtAOps/4A4BX37UPAHjfZ5TlbllK0izphB4rSatCkW5n2u3SRsENEaHACCqUnAHhi8+viA6OkhSesF9cVg3RjAkR4FWzogaRXXBDPsC3VCAAlJ4ko0hKUrzvM1fxA//Pn6r7sJ2xU3oP9M7irsUuX/6FGI+rKPYDeUfPg4hgd6waJkspEquUKH1/tueAjv00Y8CpStLYnCRC+EX1MFlikVTRWwhg6pwkfYrV9STZnAOFmuce3ACMDuSNOd1uLZkW3BD6HmQWCpC7DjagJwlQ85BOhuMR4Laf4zr2t1uQslhAlimUpFnZ7fR3Qn1wA2UjzpVzWZE0TNJ8XhSzuugY8D978ob1xsCl/S5uPd3Owxs2oUhqBz5HgK8KxY7PqNWJsrgdm5NEnDFUbpinKEm6CCgnozWZcQQUgyhtqHoNbCPAK3uSyFY1kXvKozjFr/zRE3gs85/b1LpeRV+Z7kmy+dKsVpJohZ6yPRZ/p6iRVel2lITAOqsXJQZeD5AzwxvyOUFWRdJ4upx+DW0OoXqYbIqupd0u9MWYkjS0VGSFUOl843Y7/fzdFGHAvr+x5fvZ748W6rbXAWZ1mBrcYIR0UMZFrAPbJbtdL0qsd9QnoQsEnfJWRhdJs0u3U8c7aVaS/o6Z52L27E5RGHFow+pz19ktCKGiw22sdoD6/rl815kxJWlW5/Iy6La4SFoZwtymYi4uCEqSp6I+09SxyKpKhsuOxaafQje1l9PtbL80J6Xb2atp46EDqbSLMK+a8UNPtyseZ5ik2NsuvnTs7GoVRVJPf2laFEl+xS6+Q6FXHiZrXySNq3GF3W/67Yu+tnElx/Yc0Ak+x4PRnhjAzm6m0u1KwQ1SkiyH5fewTxgm2wr88SKJsllRmnMFmDHu7n1hA8uepHxRxkqSE0KIHxdCPCaE+IAQ4l1CiD3j335YCPG4EOKjQogvm/ex2KTbAepap+d4bUqvibLbjUaAN7XaAcBeViBcO64ukvTmzqzS7VoEu908gxtC38NeNlSU7XarTyf0ccf+FoBi49GGV9+1jyev9/DxZw9xoxfhVDtY6w2yTuiN9DcvgvV9teZMMUjTbb5Ino43YpWiqADjDefFnCSbYazV6Xa2RdqkniRKfLV5H3p306bIE0KMBSdQelmAUTtTlC0c2oGHH/u6l+N195ydevtyPxCgPOqhL6yGkVYpSYVVzE3R0z1JNky021ml202w21krSc16kirtdqm0XvwFvhj5DAJEu50//vhRbpezmFcmxm2rMeH2QYVtVh2D3TDZPLghLitJm7F4XgC/A+ClUsqXA/gYgB8GACHEgwDeAuAhAG8G8FNCiOar9gn0hjG6E9LcWsbGnho2vDlf791WkA+QBab3Z9mynxUKdeENhwTngA02PUmUjbgmaMsdD5JdD+49vw1AfRZs+cqXX8DeVoi/9W/fj+cO+wufkTRrOmy3Wx0KJckoMlK61clc3AyJVqnxniR1ctj0JBXxw25FWlWEOUCzWvmlXfwBocgDxgfqUuOzR5SkWDUzn+oE+IbPu8NqkVypJPUjnOqEVipGlZJEtgyWjmEYU5Sk+vALUrpdxZwk20V2HtxQ0ZNk8xK0w3ElJ0nsz8Hy6yelzIbJ2r2GVel6lFlVnhAT7Hb270HVzDU7u11Vb6W0StZjACnlb0sp9cn7XgCXsj8/AuCXpJQDKeWnADwO4DVzPA6cRJZKUpximCQbE9oAAFvhaHBDL4qtNqqmsT9FSTrsxxBC2f1mQWiVbheh5XszeX6T0DHgrCStB/dkfUmUc/HW0x38w298GI89c4jf+rNn1rofCchSLrlIWg2qdnxiyuKsoqfpsB9bR4lWKTmFkuSabkezapV34AFa0355oC6lyFPHIJwX+Or2o3Y76u6qX2F5POjZT1+vPIfIc5K8MSXJvieswm5HSoYbvz2Q9bZZHr9e1JlFUkJI6KtScuLUPl3P97yRz2ChZrqn21Gj+MvrIYoSVd+TRBsmO2r5tB9lwIzwbQD+Q/bn2wF8zvi3J7KfjSCEeKsQ4lEhxKNXrlxxfuBBnELKyZHX5vVmaJkiui50S3a7mSlJFj1JO+3A6lplQ2F/rQ9uuNGLcLo7u8esg5Wk9UKHN1Btpm988S343jfeB2C9QxsAHdywWLvd+nZwzZmqXXhK8EERIV68oYf9COfP2Q3VqkrlIqXbVVilKHa7dsXiUEpJSugrq1E6ytm6L6o0I4jaz2NGJEdxiqHlwlLji/Ei6bAfWUvWVQtUqpLke6MLZMpA46DiHExzFYcSP10OTrA/Bq0kHZV6kmwX6e1wvCdpQOgpCks9XVqqp9jt6iLAbc5jT6DCbkcb6gyMfo7zz6FVT9J4oR4lEp2QiySNEOI9AG6r+Ke3SSl/PfudtwGIAbyTct9SyncAeAcAXL58uX5lPAWbyGtTpYgSuVFF0lYpuOFkStKfLdstHy3fm2C3i2dqe2vbKEm9aO5WO6AoklhJWg+03c5lc+D7/uID+NTzx3jJhVOzPqyF0gm9seHy84aLpBqqVYBmu/gHvdh6QFzZqgbQepJ8UaUk2dvt2uF4xZ4v8EnDZMcjvClKkvn6U5PhKpUkwsIhqGi6PyCogWYjtYYaY15WkoaEpvuqvjT9fKysXmLccqr+Tu9JOjGVJIIS1fbH5yT1LWPkgfEofn1OdxtFgGdKkKWSVC6SIkJPlj6HKodCOypJCcEyezMgpXzTpH8XQnwrgK8C8CVS5m/mkwDuMH7tUvazuaCtZpOKpJahUmxaT9JWy0ecyvwa3o+SmURXCyGwtxVOsNtFMxskC9jPSVpE78j5bKAsp9utB/c4KkmA+h76p9/8qlkf0sLphmy3WxmqIsApqV5VC9SDvv0OUVgTnw3Y23yA0RktlH6Wqoqdkkqmj8FUMbTFwDXhTy92bRd45nN1saD4npo7YvaUHBLew4lKkuOcpJjS16bDRypi1G2CDzxPRViXi3VKT1Loe2gFHo6Goz1JtkViK/DGFhSU4IVyX1uhJNm9hpXDZAlDmb0KNTLOb++mJFF6oqrCQyLCKIKbHSHEmwH8IICvllKeGP/0bgBvEUK0hRB3A7gfwB/O6zi0ijKpadtcgKuh3XPNkVgo+nnr1+FkmFhvdExjf6tVa7c7GsQzGyQLWAY39OOFFEl3n9tG6Atc2OvM/bGY5pzbaeHSfheX9rvLPpSl0QkXH9zASlINVclgFLta2eoUJSlOhol1So7vCSQVg1gBYk9SMqrk2B5/J/THJhvnizPXCHDCfBj9e1GDniTTbjfUdjtKT1L2q3Eq0coeU/UkWRZJVYV2/hzcAjRiypyqCsulPp1t5iSp+/DGrF6qyLF/Hbdbfim4wX6RXlUkDeLUusgJSoW6PqdJw2Rr5yTZFZplJUnfH6knqVTk2N6+Lobe9hxi8E8AtAH8TtYj8l4p5XdKKT8khPgVAB+GsuF9j5Rybt/e3ZaPr33l7XjR2a3a3xnpSSJai1edvLdxGGN3K5w6WJfC/nY4sSfp3M7slJbCXVDvvDzsRbhjAQvhNz90G37/B9+Y2+6Y1UYIgf/4d95gHTq0iSwjApyLpBrCmsWFfQT46AL5SA+ls7Tbqeji8TlJQtBSscZ7kiyVpMBHlEgkxq5/ruSQhslW7IBbW6VKKgpZhRm12w0clCRgtKfkgGC/qFSSiGpY2XJIUQEm2e3sLYuiUomy7UsDlOXuxOhJoti9woqeoH6UoGObkFj6HOkLrLWSlBWJqRE7Th3qXFaSPv3CCfa2QivbhD7XhyOKLKFIqoyht591drMjpbxvwr+9HcDbF3Ecl/a38BPf+PDE3xmdk5SgvUFqof6snORKUjyTOUmAUpI+/txR5b8d9iPcfW57Jo8DGBtncf1C70YvWkiDvecJXNi9eVWJdWSWquY6ou12Usq5B5toNucqOmPKM2KklNnizrIfxxtVovQUbVsVoiqCe5DN+bE5OYQQY03jEdFuB2BE2tRpd/aLdNVXpW38eS8HIfjBXOAmRBWmbLejWlBMJQlQi0uKGlgsUMcHqdr3JJULTYKSVDFjh2K3U/dRVgOz4ycoEdutIB/KCNBSIpWSNPo5oNntRnv7crud5XlQZ1cD7IoU1ZM0+rOPP3uI+2/Zsfoc6yZdcxhvnq5HCW6IzePnOUmbiFbOo0RuXrpd9nnXdrteNJt0O0AFF1yfZLebZU9S/h5VF0lSSmXLX/MUMoaZBzqVtpx4O0825yo6Y/LghdwuR+unKasvekCcrQoReN7IDj4AeoR1aYE7TFJrFUcvQs0iKSYWOWUlg6okhZ5XsgtSe5LMdDt6M7MuxvQx6A+m7Q5mPmsrHi9SXOf8UFQA/RjmF7Iumml2u3E1jzJnp2yZS1JpXWSFvgpOkHJUDbJVgvySEqebPm0jwLW1dRBXFEkW57EQoz1tUkp87NlD3H+rXcqQ7wl0w1G7YhEc4daTFKcpz0naQFq+OqddkjxXHV0QnQxjpKmadTa7nqQQ106ikWuMhhLUY8O0nqR+pJIJF5FuxzDrhl6XlsOc5snmXEVnTD7PIFuQxEQVRV8M9aJST+623SGqGmQ6iBPrxR1Q1c+S5glI09CLw75pN0yIVq1SMhc1eMEvhVc0GiarLSjEdDugsKjpLzbbXXi9SBk0TbcrxdDbqoFVwQv6vmzXyGPnUEI7fqCqN81ekdXnq6km9ePEeiBx6Jdj6LMGeEJPEjBqmdTXBCu7XSkh8crhAAf9GA/cYjcKAFB2xeOhWSRpJWn6c6jqi4sSaVVgMeuFqVJsXLpdO7PbRUm+0TGznqStFpJU4qAfj/x8ECcYxulMC5ZpPUk3emqdsO7zbBhmHujv7XK//DzZnKvojBFCjPRjRNReklJwA9luVzMnifLFV7YaRbH94rSo2E2rmL3NSD3+qJIxJNiU1O+NvgZkFWZESaLvrnq5EuZ2/FX+8+I52CohGCt0KU335fALqpIUlgb65koS4RhCr0JJItjtgFElZBClaFsrSdUR4JSepPLjU+YklXuSPvas6n14wFJJAoCdtj8yZ6roSZr+GurfKSth3JO0eYz2JG2aklTY7WxmRlHYzyKwy5Y73Uc8yz6QqiAVk3ydYNm7zDA3E/p725yZNm825yo6BwK/sOrExAVyOThB2+2sgxu86iLJdnEIYExFiEh2O92T1CA4IR9GOqokUV7D0QW6OhbbfhrzcQYOu6u6GNNiVkxQEIA6qxOtpyfwRu1ulIHGQKbiVAQvWCtZZRUoVxOpxzD6PlJj3M1CkzpM1nz98tAFy89BlZJU2O3s0u1MF8/Hnj0EAGu7HZApSYNxJcnO7ifGBuLGhL42Zn0wVcONK5JCbbdLcgv4zOx222rj8mppVtJhn2aRtyG3YNfY7Q5YSWKYWjqsJK0WoTHIk1og5HY73ZOU7RDZR4CPhh4A9J6kcj/JkBBh3q44GXO7GbknZtSyaB9hPa5AmPc7jZGepKxIohSZfklJotrtqhb4LpZDs1aOkpSULFfuS9PWL/vghuqBwJTG/8D3xgI4qEqSeR70o9Q6eEG/frovKCKqoROLJKs5SaMbFR9/7hD7WyEpVni7PRp8ERGL9dAf7cuiRLAz68MmR4B3cyUpNpSkGQU35EpSNPLzokiaXcHiewJC1BdJ2m7HPUkMM05ut+OepNXA3AEnzwjSBUKebhdDCOCUpXSvF8Ij/RRx6tCTVPw9TqT1wkovQiuDG6zDK0Z7kijRxYBaBEZVKgxRhfCz3fyTYUILbhCj7wFlcQyoc0CIUSUpIfYkBaW+rJjQk6SP1bx9SrUsjg2zpd0e0Ja9khpGfA9Nu5hKt3PrDaQef5U9Zki4D0+M9iR97Nkj3H/rKVJ86U6dkkQo9PTxSylVTxLh/WPWA1OloFqzVx0zAvwk68/rtmbz/HSRNKYkDVTBMku7nRAiD6Op4oDYu8wwNxNtttutFqYSQ50RNKYk9SLstAPrHXxtxxpJpyPOvlD9EOUZO7bDZLPFaTS6Aw0QIsBL1gKqGtcOvJHFMbWfR78He9kXDnVOUtkuGBHtglVfiNSEvvJQYaUC0JSkyghwy0W6SoerSBgkW/5Gj8H29u2SkhQnKeJUEiLA69RAqmVytCeo5dtF8fueyAtTnWz3wK32oQ3AuN2OMsxW/V6x2ZA4vH/MehAaqucwGxexKegd5JNhki+QuuFslaTyQNl52O2AbPPPSDw1uXHCdjuGqYPtditGaCwQP3v1BADFLqcX2EVwA0VCrxoESu1JqowAt56TNK4kUeccBV4zJaYdemPDfAGKkqR+b2+reN1JwQ21SpJ9kdIu9YNQe4LKyXDD2P49BEbPYcAIbiA8fjk4AiAqSWOKYEpWA3VhoNMWbReA5d5AavBEqyYCnDIKQL/mzx4McNiPSaENwKTgBrqSRN2oYNYHM2Rk0+x2nifQCT30jHS7WQU3nOoE8D1Ra7ebtfWtbH81OZhTYcYwm0C3IlBs3mzOVXQOBH4xq+hf/3+fxrmdFv78/eesbltYH3QEOG3eQnlGD+DSkyTGghus7XYVFXuhptkqSaNWp6LIslUR/FElKaEt0PUi0tyVIylJdXOeCO+BuUA178s+3a5cpNhb1QD1HowqScX9Wt2+3JPkYrfzvdx2qo6BbrfTO6/64mgf3DCq6Mb5OURTsso9SbYBKEII6I9wHtpwC61I2m5V2+0o4RM6hp5qG2bWB32u94cJpLTvWVsXtloBTkZ6kmZTJHmewF43xNWxdLvMbjfjgqW8aWRy0Iuw1fJJ3zEMc7Ogv/d7XCStBjph7vHnjvBfHnsO3/L5dxFsPrpAyJSkHm2KdtkmBNCVpKCcDkfoZ8nnJBl2u4jYtF9ndbKd0aLsdmYEOTEZTtvttoomeeowXsDdbqd/typ8okmRYrtAV7cf3bXMgxtsh8mW+olclIix89ApAlydB1pJogyTVY85GuVvrSRls4jKRZLteeQbw2R1keRit+tFyZiiaZ2y6Ht5eAjVNsysD342F02rjpukJAFqF9m029l+F9uwv90aiwCfm90uqO9JutGL2GrHMDVUpS7Pm6VcRYUQXy+E+JAQIhVCXC792w8LIR4XQnxUCPFlyzg+je6l+O+PPw8A+PrLd5BuCxSLsoN+jNOEi225HwagK0ktQ4lJU6lUCOuepIo5SUQlKC+SHHfxW6WeJG1bsm+6H7fbUXz640US3W43piQRlRjPmLMjpUSU0tLtymoiNThiLB0vpb2H6hhGZzXRlCT1e8NMSeqTlaTSOZhZ/WyDE6pi3Iex/WaDqQR+/NkjnN1u4exO2+q2Gt04rgfKalXNtlg2F2URsa+QWS9C38tVx00rkrZaPk4GRXDDrJQkANjfCiuCG2J0Qm/mqk6rdD00odryGeZmolvRBjJvlnUV/SCArwXw++YPhRAPAngLgIcAvBnATwkhZnclJKJn1OhFLmWHJyglux3OpCcpQdsy+hioXhzZ9yRlFftIPw0xma0UPjEk7uK3A68UHEFTYfQiYa/bGvuZDXmRJN3tdsp/PlpkCEGI4Dbm/KhIeNoC1/fKBUr2c9thsiW7HnWosrqP8YQ+2zlL5eAGfXG0/RzoxykKdZpdsS4C3PY88kTRk/Sx5w5xP1FFApSSBCBf/DYJbihmfbGStIm0fA9Hww0ukqIEJ9FsI8AB5Tao6knaac++YAkNZbfMQS/mQbIMU8NNY7eTUn5ESvnRin96BMAvSSkHUspPAXgcwGsWe3QFeoE7JPbCAEaBkLjZ7cqLOwDkAYEqNECdTNTZKlUR4FSrUlEoFslkAWEXvx34o/HZepCp5e2/4N5zeNtXvASf96L9/Ge0nqTRQtfFbtcq9VVRe4pUOlpxW4BmlQr90YRDbf2yFYJ8r3oYLSndzvMaD5PVRYqW2e0jwMftdtSeMvPx1X3YBzeYRdLjzx2R+5EAYLutPou6SHKx2w3LdjvuSdpIwsBQkjZMLey2fPSGMfrDBELYXwNsOLPVqki3i0juD1vCoD64ge12DFNPVRvIvFm1q+jtAD5n/P2J7GdjCCHeKoR4VAjx6JUrV+ZyMDoCPHbpRfH0Dri6bS9K8oF4Vo9d15NEWOSHgcgXR3qSt62/2vMEWr43cjKSI8BLw2QjQroeoD4QSSrzRTpVSeqEPv7GG+5Bx3jddY+JDXodOTYri2K3KyUZUQapAqNzkqiLY6B+mCwlITAeUZJoaqK+j/K8K9u+MnNAJlDYP+2VpHK6HS1C3UwM01DOY223S1OJw36MM9v2Q2Q12m6ne02c5iQlWs2l9RUy60Xoi4212223gmxOUoJu6JNmjU1jbzvEteNoZHg7NWzJlmlzkthuxzDVCKFSLjci3U4I8R4hxAcr/ntkFvcvpXyHlPKylPLy+fPnZ3GXY/hZw3mcpvAEbWFo9hS5DHCs7UkifPG1jIux3iUzQwym0Q69SiXJehCpP67EUBZnOqRCKzG6wKB+OZpFhYuSlDaw21Wl21F28VWEdNZT5jTItVlwhP4MlG9PKRTLMeZJav9ZKPcEDYjBDUFJkVWDbJspSQNCDLvnqXQ7ffwuC9ey3Y6qaIamkkS03TLrReh7eTG9SXOSAK0kKbtdd4ahDYBSkoZJmifnAcDRIJ55sh0wPd2OB8kyTD2d0F+o3W5u5lcp5ZscbvYkADMd4VL2s6UQ+gL9SM2coDY660VolKaOFqXRHfAkC16g9iTpJm/ttzZDDKbRCf08Xe6DT97AZ19Qs6Iou+iAOUyWFjyhn+sgTrHdpqWimYSORZK+2ViEOUXN88cH4lKVJEApQNRBqIBWksbDL2wti7ovT6NfA9pz8HI1xcuKLtuepFzJye12tOCGsiIbE6xyQLHQLM9JoqTbSVlYdl0WroWSFI8cC6W3T9tuXQptZn1obXpwQ5ZuR3Fl2GAOlNWbEof9COd36D2E02j5XuUiL00lDgcxF0kMM4Fu6N8UwQ11vBvAW4QQbSHE3QDuB/CHyzoY1Uuh7HYUFQgYnc9CtYkBxdBarQDpRSJJSTJ6enSRtE9QkjphYbf73l/8Y/yT330cgL1VJyypYVFMU5KKQZ5Jdj/2vSxV9wNQrWqjPVXFjBnaczB3Da+fDN3mZaUSkYOKU04IdBlmm6RVShJdjYmMAArrhMKSkqTndlkXSaXwEErCIzBepAFZX5NljL1OJ6QOgDUZV5JUoWerqJrhIS5qKLM+jKTbEazF64Cek9QbJjNNtgOKzcNrx0V4w/zsdtU9SYeDGFJiLn1QDLMpdEJ/83uShBBfI4R4AsDrAPymEOI/AYCU8kMAfgXAhwH8RwDfI6VcXMlYQi8uYsLwSI2yhamd69hhcXvnmS0AyNUbXShQdqLNhm1dbO1TlKSgqNifPyqaWm0jwAslKVugpSnJ6pTv4kdFT5KbklTcxmWYrP4+c+lNM98DAHjqRh8Xd7vWtzfVLGqEOqB2X3uGhUQXObbper43ms4XExMOgYooeJeeJMfghnG7XUoapOp5AoEnxnqSbIttL+tJog6ANRkLbiDY/fRjFnY7npO0yYSByBXHTVOSui1lszmJEnRnmGwHIO8VNMMbjvrzs9sNK9LtdN8wK0kMU087qFZi58VStiyklO8C8K6af3s7gLcv9oiqySPAiX0Mxe2F8+L24l4XoS/w6axIclOSChVBD8rbJRRJ7VDdPk7S/IsXoAyTHe9JIqXzZXY7vUClKBAm5oKWUmTqgatlJYmULlcaHPjMjT5eeeee9e1zJSkpFtqUgl0PYNTkShJhmKypJFFnZQGFPVDflqII5ipUUpqTZGk7LZSkIt2NWiCU+8qGhCLFz9Lt8s+vg4JTFdxA+Rx1DQ935HAtYtYH0967aUXSVugjSiQOehG6M0y2A4peXV0kpanE0TDOHR2zJAyqe5JuZEXSHhdJDFNLt3Vz2+1WCt8vihyKCqRRRZYkR2cDaqf+jv0tfPbqMYCiD4GyyDd7Ea6dRNhq+aSeJq0kHfTjkZ9bF0ljC1SaXa6sJKl+HvopO2K3oyhJ/qiSNHSwKrWNXcM0lXjmRh+37Xbsj8HoqcnPI8JrWL6gUNPtVMJjhZJEjCEHCrsdRRHMh8kmo0pSmxoBbgyTpRYI5SIpIijLOnjDZZND0w19eMKck0SLMe+2glxNjB2uRcz6MNJ/uWGWSt2HdPV4ONMZSYChJGUDZY+G87O+mYFKJkXfMD0Bk2FuFjqBPzI/c95s1lV0xoR5uh1tUaIJMu9xYVGi3cedZ7fw6ee13c5NSTJ7kij9SID2fib5DpfGVkUo26zIEeB5up3uSXJTkkJHJcn3xlWI8v3ZPLbeNbx6MsQwSYl2uyK4IW+6Jzy+bnbW5HOSCErSyCDYlF6olS1vlIGu+lzTRYY+F2yVJL9CzaQWCGXLZJRI6wWoEOo1HzToSRJCYLsV5Gouxe4HANst1Zs4jItrETWIhlkPXJM81wFdGL1wNJh5cMNuN4QQajMRUFY7oFBxZ0noizxQyeR6TyfQspLEMHV0wsXa7TbrKjpjAl8FN6h0O7fFeZyYi1vafbzo7DY+e/UEUkqjJ4mQbmcs7q6fDMkXXx3cUC6SbPtZqiLAacliRbod4N6T5Kok+bndrijyqFHwpgrx9PU+ADgpSSq4gW7301YrPf9Db2BSIsCTZNxu5xKHHyV0RdDzBEJfjChJLd+zPwcrEhapBUKrZJmkDJP1PTGSTOgay7zdDsaCG2zZyhZ6vWFCjvFn1gvzvNi0CHAd1nA8TLA14whw3xPY7Ya4milJh1mRNBe7XU0EeK4ksd2OYWphu90KEfoCkbbbOdi89CBPl+AGQIU3HA1ivHA8zBfapGGyvodUKpvbtZMhWaJUz78AACAASURBVElqhz76cZL3M1HJF6hGT49LKpqpJDWOACfGZ+vHBZTli6oEmE26T9/oAYCTkhQnMg8voDwH3eCsbWrabmf7MoaG3e7PnriBP/zUVQA0JSK3vBkDXSmfhdD3jOCGxNpqp45TPc6T19VrHxFULE3TniQz3c51d3+77eN4aBZJNDURAE6iOC9yN01lYBSu4w7WAVM9mrWSBAC3ne7g6RtqI+tooAqWuQU3TOhJ4uAGhqmnE/h5yu0i4KzJCYxEgFtG/poou17qFNwAAC86pxLuPvPCidNOtNn0fv0kwoU9+8U5UHg/y0qSLUGpyKA2zevnaiZzNQ1uoM1JGj9+qs9fRYCr2+svYJKSZMSo58lklJ6krKA4Gcbotnw1q0jAOj7anLP0N3/hUTyVPQfKMejzPkpSpKlEKh3UuKSw29nGfwPAPed28NLbT+NHfuPDuLjXRZyk5H6GVmnWFWWos+cJSOnWz2ay0wnz3W1KkQYYO/CDpLDbsZK0kZi9cpvWk7Q15yLp4l4XT2WbKQe5kjSHnqSa4IbrJ0N0Qo90fWOYm4126KM35J6klSDIghuGCb3ZW93ePbgBAO48sw0A+OzVY+d0O0Atqq73IlL8N6DtdkkeTUqlWBy7KTHlQZ5Jmi7UbmcOcgXUIt8pGS1JIaXE0zf6CH2Bs9v2ip62pcWp2zBZXRBoD28iaUmNOqERGF2AUfuyAGT9efRCz7Sn9KOUvFHwy299HXa7Id7z4Wez/kLae9gu2e0GhHQ5T6BxBDigGsjzIimRpITD7ewcOBnGxrWIL/2byGb3JBXFw1Y4++Ll9r1urjjrz9q8ghvMsQqaG70Ie10ObWCYSXRDHwO2260GgQ5ucGj2BpoHN1zcU4rDMzcGRrodoSfJsKtdd7Db1QU32FKoIEU/CC24IetJ0nOSEje7ne+J3F7WxG5HtTmpxytmRT19o4fbdjvW/TTAaF+USzKZ3nHV6WZpKkE5DQPPg5TqdqHv4XX3nMUvfsdrSQswM2FumDicx76HYVxEgFN3WrfbAXa7IYaJSgh06knK5H2ZxXnbnke6J6lJBDigdrQP++pzGMVpfl7ZkNvtholTjD2zPrjOhFsHTAV41sNkAeD2/S5u9CIcDWIjuGE+PUlJKkdGKwCqJ4lDGxhmMp3QY7vdqqCUoJS8uM9vn82YcR3g2MmDCxInJamdHfPzR0Okkh4t2g489GNlt+uGPv7Nd7wWH3v20Pr2Y8NkY5pdrm0UeUCWbue4uAt9tdi3tZkBo/1AgA6eoC+wAaWiPX2jjwunaZZHM2EvcrBsdcNigQxkfV2E1yAPXUhT9IYJLux18AX3nbO+vboPrYal+Q4Qpa9o1G6XWg+SLd/HIEqd4vxbgVdEaGefZethskKMpNu5LlxPtQu7XZSkpNdPBzecDGNn6y+zHuhrgxCbZ6lchN0OAJ681ss3JOZht9PW/ShJ4XvF87jei7DL/UgMM5FONi8tTughTC7wN+UEQk8gSqQaJutUJHnZm0kfwAmofoZWoBLminQ7ut3u2UPVR0JNzemEPpJU4oXjIXa7IV591z6+6TV3Wt9ef2HnSkxqP18GMJUwM93O7ZRtBR55gaoLlFSaShJt4ZFbzeIUT17r5eqgLXqhk6ZA5BAAohcW2m4Xp5KkZJl9ZSfD2GkHNzSKZZd5XyoytwhusI3/NmkHKgZb9bXRzgNzIC91s0LNSSost82UJLfghm2jJ8nV+susB/q8aPkeaUNoHRgJbphD387tWZH01PUeDvsxPDEfxapl2I9NbrCSxDBT0Z/9fryYviQukiagC6NBlJDsLZrQV03vcQOLSzvwnJUk/bvPHagiaX+b3pMEAFcOB047XHotrp9/nEjSfJ1yT1Iq3YIbAPXF5FokxU3sdtlj3uhFePJ6D/ec36EdgzGQ10UFGLPbSZpl0VQDe1HiNMQxV5JGiiSabbSIAKfb7fR9DOLEqa9sf6uFa1nCI/Vz6M0o3e50N0QvUsdPHyZbnAM8J2mz0dfMTbPaAfO3213aV0XSE9d7OBrE2GkHcyk0ix7Nkt2uN+SeJIaZgl6XLioGfPOupDNEL6b6UeIc3KDm27jPJlF9QanTDrzesXruYACAbrfTi9FnbvSdiiQhxEjjPzkC3B8tklx7kgD1xUTdxR/vSaLb7fSX+Z8+cR0AcC+xSDKVHJd5W91WQ7udMWeoH6VOO7imZc9FES0HN7jY7dpZjLcq1Gm3P7PTwtXjoepHIgYweEIglch7mpztdpnt57AfOwyTVbc9NoIbNs2KxSj09WnTZiQBo+rRPOx253faCH2BJ6/1cNCP5jIjCRgNsjG50Yuwy0oSw0xE96rrjd95s3lX0hmiFxK9KHFSgXwvC25wSCXTNFGStLXt+SNVJFGTem451QYAfPqFY+fZDTohEAC5aV4IkT9/IOtJclWSHOx2ujAeDW6gPf5LLpwGAPz6nzwFALj3lm3S7U01y2WgsE6B0na7VBLtdtn7pRuZ3ex2hpKUhXCQepKMCG41J8lVSUqzYbK09/DsdgtRInE4iMkBDL6nzh9qcVVGL9gO+xH5PDQL5SL8gy/9m4hpt9s0fE/kxZ+Loj0NzxO4sNvN7Xbz6EcCCqurOXutHyXoRyn3JDHMFB68cBrf88Z7sd1eTKQCBzdMQC+Se8PE6Usn9IVqFm+gJLWzhnOXBbI+5mvZJG/qSXX5RWcAqOLG9eIdeoUKoHbA6fHLebpdmqLtGP0a+oJsncjtgg3sdved30E39PF7H7sCIYAXnaUVSWahpgsdyi5qp6XP4Ti/HxclSffDuOzgBnm6XepstzsaqMc/GSbYciiStJLkogae2VabBVePhkVwA2FOktmT5NoLNKIkEecktQMPvidwMozhCQEhaHOqmPVBhwJsot0OUJs0g9hN0bZBx4C3fG9uRVIxv7AoknSCLPckMcxkXnr7Ll56++7CHm8zr6QzQi9oXJWkwPMQjUQ301/uTujnSpIQtEWWvhjrfgpqkXRup437b1H2MNciqdPyc++oSxpJO/SNOUmLtdsJIVTjfQO7XeB7eNntu0hSiTv2t8j9NPrh4lSinxWLHcICaGxOUkpbIPt5kaS+xF0WJ/o1GyaOASSG3c41PKIVqPMoTlLyZoWea/XC8bCYd0RJt5NGul2D4AYAOOhHat4Y4fUTQmCr5efBDVS7IbM+6PNrc4sk9TmYh90OUDHgT17r4XCwCLtd0ZN0PdvI5J4khlktNvNKOiMC42Lmlm4nkKSp0SztpiT1oxQnwwTd0CepIXohqi/ALjvwr71HqUmuRdJOO8DRQC2MnSK0/cJuFzew27Ud7HaAKhJMJcnlPXzFHWrX457zNBVJPb5WktKsN06QzsVyBDg1uEG/Xwe53Y6+u2rOScrtdgQlKfS93JrSj1J0HY4hV5JS+mf5TFYkXT0ekm2vYTY4UoW/uCeOnc4WbAe9mDSnSbPV8vMIcE6221zCDS+SdHE0j+AGQMWAP3vYx7XjaI52u3El6Xq2kclKEsOsFpt5JZ0R5oLcZQc48NUw2ibN0lpJ6kUJeRffVJLagedU6H3+PWcBuF+8t1o+TgYxpJQqApxqtwuLBXITJakVeE7NzL4Q+TBcasO85hV37AGghzYAxTkTZ+lydCVKjMz5ob6GZSXJZXEyMifJsbdOz0UYJqmjkqSKbZcioSiSBuTeIh2/fdCPGhUnp0d6kujDrbdbgepJcigSmfVhk3uSgOL6M68i6dJeF1ICT17vYWdOPQ95T5JZJGV2O+5JYpjVgnuSJmCqBi4FTpDZhJoGNxz2Y6cFct6TdDx0vuC//t5zuOf8Nl56+2mn22+3AhwPYySphJT0IZbtwB+Zk+Q6BPN/+ZL74Tns4is1UP05dlDCAOBVd+4j8ITTa2jOalLJbvTFwVbLL+x2UoJyKs+iJ2l0TpKb3W4YpzjJnoPLAkkrsqnDOXh2p7DbXdqn2eb0INfrJ1Gj3f2xdDvifW211awnl/ARZn3Q7+3GKknZ9c/lOmjD7fvFsO952e3yOUnxeE8SF0kMs1pwkTQBczHlUuCEmVVL27UoM4I0uZI0TMiLQ/1FeTxMcGbHzeu8v93Cf/m7X+x0WwDYbvt43mh4143FtrQDbyY9SX/+/vNOt/O8QkkaOtrtLu518bs/8MX5RHcKuZKUKsuWS/z1ljEMNSHGqOvzPi+SnCLAdbpdikGsHpuUbhcIDJM0V8NcCrVW4OE4C6+gvodbrQCd0MPVI7rdTltcr50MGy1cd4yepDh1iKIPAxwPVIHlutHArD76HGs5DFxeB7ZaPjwxv4hz8xo9N7tdUPRoam6ccHADw6wi/G05AXPH1WWYrO95iDObEOCuJPWjVNntHIskoJiVsmi22kpJ0l8I1KZxlW7XPALclfKcJ1cbyx1ntpwKPHNWUz92G6TaafmF3U5KkqIWzMRuN1roAfSUxmGc5oWek5Lke5BZn7SLknJ2u42rx0OyXXC7rY61qZIU+h66oY+rx8P87xS22kpNjBPpVOgz68HG2+3aAbZa8xnyCgAXdjv5nxfak9QbwvfE3Cx+DMO4sZlX0hnRWEnyBeK0iAB3WSQru1mSBzfQHt8okpZ08d1pBTgZmPNZqD1Js0m3c8XPIpwBd7tdEwJjxlDP4RwAVFHx3GEf3/3O9+Gp6z3Sa6gX9lezxmI3u10RgOIyFFkPkz0ZuqtZ5mwlFyXlzHYLLxwP82Lf9vh1yMSNXtT43DnVCfDCkXofqIvg7VamJDmoUMz6sMnDZAFlR6PO+6PQCX2cz+YDzn9O0mi63V43nFvxxzCMG7xtMYGRniSXCPBScIPLDnYnVHazfpTkDeS2mF+U82p0ncZW28fxIHZW07SKAMBpEGhTfE/kBZ5rul2jx/cNJSlKnex23dDHo5+5lispL79kP2Ngf0udc09d7wFwS7cz5yRpSEVSoIqkwm5HPwazqHD5HJ7ZbuHq8TDvI2j5dp8nHdxw7WSI3S493dDkdDfEC8dqMDT1OXRbfjZMlh6BzqwPm96T9L1vvA/fcPmOuT7Gxb0urhwOcKo9H+ubvvZFpeCGXbbaMczKsZlX0hlh7rg6pdt5HuJU5j0tLjvY7VDNGXLqSTKOeVkyvg5uyFPByHOSigjwZSlJSVZdDIlDPGfy+KKwqrna7bqtIC+QAJDsdueyXrbPXVVFklNPUh7coNLtfGKMeSuL0T5uYrcLm6nCZ7MiKbeNWvbW6aKyH6WNd/dPdYLCbke8r+2WDm7gdLtNprXhdruLe108nKWFzotLWV/SzgLtdjdOIg5tYJgVZDOvpDPCXJA7pdt5AnGSNlOSsuCCkyF9gex5Ij9uFwVgFmy3A6QSOBq4Nc2bwQ1N0u1cUel2Mn/8Re/QFj1JabbQdrDblc4bSqG5n6mXzxz0IQSclCwhBEJfIEpVuh21WNCvuU6AcinUzEWjy2dZ2e0GRXCDbbqdUdA1t9uFud2Oel/dVqDmJDnE8DPrQ5gHN/BXuys64W6RPUk3espuxzDMasFX0gmEI3Y7lzlJHqJUIk7V7rmL37gd+pASOOhFzvNhAGCnvRy7ndm4DtAXd2YEeJLQQgdmgVceJruE4AggU5IcwjuA8T4i6jDZ3W6IJJXkYcYmgedl6XZ0RUUXJLpIaqokuRQrZ3Za6EdpfgzW6XbG567pwvVUJ8ALx649ST6irK+N7Xaby6YPk10El7IiaV7Kjn6PhonRk9QbYm/LLYGWYZj5wT1JEzBVCxf7QugrJSkmxi6b6AXl4SB220EPPJwMk3xey6LRqXpFkeSgJEUJ0lTieBjnRdeiaPkeojhVw3CXENww2pOUoOOw+BkrkoiFztmdFm44FumawBcquMFBDdPnzI0sPMJFFTV7iFz6yvTMFG13sy6SjGNtunA1G9bpc5KKAAm29Wwum96TtAi+5pW3Y6cd4NL+1lzuv2pO0nW22zHMSsJX0gk0DW4IfQ+pBAZx6jQjCRhN5WpiM9peUnCDLmpu9NxsQu3QwzBRO/ipBDm8oina7qfVpEUvPgKvVCS59CQ1sNsBwLltlfbkomJpQt9DnKbKbke07OmZL7ndznGYrMbFsmkGMAD2mybma9+0T8TcaSZHgGfHfzCDlD1mddn0nqRFcKoT4mtfdWlu96/7GbXdLk5SHPZjnpHEMCsIX0knYC4mXGccAaofx7VZ2lzcOaV6ZbdfVgT4VklJor4ObV8VKdpmtPAiKRvmq7/QFm1V8g27Xc91mGy2QNbngkd8Dmez8AaXIl0TZCmBLna7XElqYLczi1uXnhzzPG75nrXt0PdE/rpRwxbKfPlLb8v/TH0O+jW73ot4TtIGw3a71afck3SQDepmJYlhVg++kk7A3HF3GSard/2PB7Fzs3RnREmiv12FkrS84AZALc4AkBU1ncymI6j3F+zb1sN8i/CN5c1J6kepU6Gyv9VC4Ak8fEmlQlFPRV2YuhTpmjBLqFNFEu056HPoucMBQl84vQcjSpLD7YveuiHd6pYVKO2G587LL+0523bPZmrgyTBZePgJszjy4AZWklYWvdGme5L05g8rSQyzevCVdAKhOUzWYWGhd/2PBnHjniTAsRcju/3WqgQ3EBeYt2SD/R575gDA4pWkTjbMVu/6LToZTJ82J5HabWw7FEnf+Hl34F3f/XrccUZ57Knn4tkd9R6UU/IoBNlg5UGckIsMPdzxs1dPnNWsESXJ4bOoP3vXTiK6itMeVfKa8BPf8AoAKgqZwrlTplWPlaRNRX8+luUcYKYjhMjGGqjvlOuZhXevy8ENDLNq8JV0Ak17krQKdDSInXdvTSWp08BmtKwvTa1g6Z4kql3t1tMdAMBjTx8CWFJPUpQYRdJi9xWEEPA9geMsQt2lJ2m7HeBll3ZzOwc1IVDPSmoS3BBmi4KBw7yg81mR9sTVHva33XZbTfWqiZJ07WRIfh22QvUZmEWR9MjDt+NLH7yN3Jd1LnsNAbfnz6wHZ7Zb+Fff+nn4vLvPLPtQmAmEvsiDG7TLgofJMszqwd+WEzALIxf7gl6YHfXd7XYjSlKj4Ibl2u20pYBaZNxyWi3uPvz0cpQkHUEeL8luByArktQgVZeeJI22c8gpv1fm7AyCGwJPGHY72nM4lylJwyR1nvfVGrHb0T+L+vNz2I8dkuWynqQZnTsu78P+VitXJV1DZJj14I1/7palDQ9n7AiDQkm6kbkseE4Sw6weXCRNYMRu51IkGXY7193bkZ6kRkrScux2ecO445ykW08pJekTV46w1fKdlJQmdEIP/SjBUAc3LMGqFHgiH8bbJDxBK0lalbIl70lq8Nihr+ckJfSepJafP7brMZiFmcuGh6keUW9fDs5YBr4ncCYrdjm4gWGWS+h7eU9SbrfjOUkMs3JwkTQBv6ndLjDtds2VJJcCIS+SlqQktQMPgSec5ySd7gZoB6rpf9GhDUChJOldv2U0RDe122l0kXTYpxVJs7DbqZ6kTEkiqmFCiLwvyfUY2k2VpLY5o4hot8s+e8tuptfvI9vtGGa5jPQkZS4Lcw4awzCrAX9bTiBsOExWW6OOB7Hz7u1ocIO73W5ZwQ1CCGy1fBw42u2EEHlfko6iXiSd0MMgTpZqtwt9Dwf9KD8eV3SRdERUknRwQ6N0O08tCoYOdjugCG9wtfyN9CQ59Ae2Ay+3q1EVoe0VUJKA4jVkux3DLJfQF4XdrhfhVDvgzQuGWUH4UzmBWQU3pNJtYWbeB+A4TDZbmC3To77dDnCYLcxdXsdbs76kZSlJUaIGuQLLsSqd2W7hyWsqAr2JknTasUja64a440wX992y4/zYgW/OSaI/h6ZqVtM5SUKIXI2lRnl3V0ZJ0nY7vuwzzDIJfQ9DHdxwEuXXZoZhVgv+tpyAaZFziwAvFnQzCW5wVJKEaNZP0hRtVTrVCfIQAAq3ZErSokMbgEK50UXeMha6t53u4NqJVpKa2+2OiHY7zxP4bz/4F/A/vdp9Cn3ge4hSiUGUNFKSZhPc4PYe5gEMAe2zvHJKEhdJ1gghfkQI8QEhxJ8IIX5bCHEx+7kQQvxjIcTj2b+/atnHyqwPLSO44fmjQR5OwzDMasHflhMQQuSFUhO7HTAbJck1Any7FUAQY59niV4Uv+kltzotFHV4wzKKJH3surCgznmaBdpuCBR9bi7odLtepootktATWXADvScJAM7vqNfA1W7ne8Vn2dVutu2oCK1CcANQqHE8J4nEj0spXy6lfBjAbwD4e9nPvxzA/dl/bwXw00s6PmYNMYMbnj8a4vwSrOQMw0yHOwWn4Huq4dzFZjU6m6W5kuSiBr32njO5rL8sPvSUiu/+soduc7q9jgFfSpFkzLoC6HOeZoG2GwKz6UlaBqGvUgLjVLrZ7bJhqE0G2rYDD/Ewaawk0SPA1WV22QpObrdz3LC5GZFSHhh/3UaRoP8IgJ+XUkoA7xVC7AkhLkgpn174QTJrR8v38jlJzx8N8IpLu0s+IoZhqljKt6UQ4uuFEB8SQqRCiMvGz18khOhl1oY/EUL8zDKOz0QvbNx6kkwlyW1xHfgqHS70hdMi62teeQk/8Y0POz32rPmiB8473W6ZPUn6PdRznlwW+E25bbdQkprMKtLnzzKUhMAvZj052e12mqXbAUVx47phkafUOUSYm4+/LIqeJFaSKAgh3i6E+ByAb0ahJN0O4HPGrz2R/ax827cKIR4VQjx65cqV+R8ssxaEgQpuSFKJF44GI8OeGYZZHZalJH0QwNcC+GcV//aJzNqwEugFhZPdbkRJcl8gtQMP/honUr3zO16LZw/6zgv85drt1DG/cDQAoPqqFs2s7HYA8M/+6qsbBTC4EvpeHmPeLN3O/fVX72U0klpJIS921jy4ge12owgh3gOgSuZ+m5Ty16WUbwPwNiHEDwP4XgD/m+19SynfAeAdAHD58mXqHGdmQwl9D0f9GNdOhkhlYYVlGGa1WEqRJKX8CICl9snYoq0pLkWO5wm0fA/DJG20MOmE/lrv/r7+vnONbn/5RWfwfW96AG94oNn9uKCVpBeO1MC/7SWkBN5mFkkNAzhcLY9NCTyBo2FWJDk8Bx3e0WQocmMlqa2VJLcIcJficJZoRbZJobmJSCnfZPmr7wTwW1BF0pMA7jD+7VL2M4aZiu5Jej7bfDt/qjPlFgzDLINVNKffLYR4vxDi94QQf77ulxZlY9DFjfMw2GyR7TfoA2gH3lLT6ZZNK/Dwt990v3OyWRNyJelYF0mLfx9MJWnZC21XAt+DzPbRXRSV2/e6+NGvexm+6uUXnY9Bv3aun2XXYkcrqMvuSTq708bPf9tr8Jcfdn8NbzaEEPcbf30EwGPZn98N4K9lKXefD+AG9yMxtuhhss8fqu8VVpIYZjWZ26pzmoWh5mZPA7hTSvmCEOLVAP69EOKhUvMsgMXZGPSus+sCpx34OETcaIBjO/QbKwiMG7mSdDxA6Iul9CSd22nBE+oc9NbUdmkqqS7pdgDwjZ93Z6NjaAWqv89VwS56kmjH/4pLe/iLD96Khy6ednrcWfIGx77Am5h/IIR4MYAUwGcAfGf2898C8BUAHgdwAuB/Xs7hMeuIHiZ75agPABwBzjArytyKJIKFwbzNAMAg+/P7hBCfAPAAgEdnfHjWBJ4HT8C5J0gvspvY5ZSStJ4KwrpT9CQNlzaQN/A9nD/VRj9abkphE8xNhmUUmupxvUafQ60iUq2z+9st/Oxfuzz9F5mVQ0r5dTU/lwC+Z8GHw2wIYZZuVyhJXCQxzCqyUitvIcR5IYSf/fkeqBkUn1zmMQWeaBS6oBWgJvex0w5wqsMTuZeBtla9cDRcSj+S5rbTnUbx38vm9fedzf+8LMtgK/CcQxsAQ0nyWdVlGMadMCh6klqBh9NLCARiGGY6S/lkCiG+BsBPAjgP4DeFEH8ipfwyAG8A8H8IISIoe8N3SimvLuMYNYHvNUql0gvbJna7v//IQ0vvZ7hZ0UXuMEmXpiQBKgb8MBtou4688cW35H/2lhTY0g6aBaCsSpQ3wzDrje5JunI0wPmd9lqEWDHMzciy0u3eBeBdFT//NQC/tvgjqif0RaOFlY5sbhLc8NBFHjS3LEzVY5lF0g986YtxNQuPWEeEEPgXf/0y3voL78M957eXcgytwGuk6Lqm2zEMw5jkPUmHAw5tYJgVhjXeKQSeaDShXisRPJtkPTHjqpdpt7v/1lNLe+xZ8SUvuRWPv/3Ll7Zrqux2TZQkLpIYhmlOqNPtjoa4uMvx3wyzqnCRNIXA89BqGLoA8JT7dWVVlKRNYZm2kldc2gUa5GBuZcENbba+MgzTAFUkSVw5HODlt7NThGFWFV71TSHwZxTc0ECNYpYHF0mbw1vfcG+j27OSxDDMLNDXkOePBjjP8d8Ms7Lwt/0UAr9ZbLCeCeM6wJJZLkKIvFBapt2OWT67XZUwqYfDMgzDuGCGQXFPEsOsLlwkTSH0RKPY4FlEgDPLRRdJO21eHN/MPHDrDn7ym16JL34xD2RlGMYds0eZB8kyzOrCW+NT+CuvvbNRqphOt+PghvWlE/o46MfY4VkWNzVCCPylV1xc9mEwDLPmhIGpJHGRxDCrCq/6pvAlL7m10e07bLdbe7Rlku12DMMwTFNCn4skhlkH2AM2Z9oB2+3WHa0GcnADwzAM0xSzJ4mDGxhmdeGV+5xhJWn9yZWkFhdJDMMwTDO0ktTyPZxmGzfDrCxcJM0ZDm5Yf3Ilib/MGIZhmIboHuVzO62lzo5jGGYyvHKfM1pJ4uCG9UUrSWy3YxiGYZqigxs42Y5hVhsukuYMD5Ndf3RfGQc3MAzDME3RPUnnObSBYVYaXrnPGT1jx+eepLWlw0oSwzAMMyN0TxIn2zHMasNF0pxphzwnad1pc7odwzAMMyPynqRTrSUfCcMwk+Aiac50OAJ87emEHjxRKEoMwzAM4worSQyzHvCqyJNp7AAADRpJREFUb8688s49fNvr78blu/aXfSiMI+d32riw2+UUIoZhGKYxZ7ZbEAJ40bntZR8KwzATYP/QnOmEPv7eX3pw2YfBNOC7vvg+fMvr7lr2YTAMwzAbwMW9Ln7vB96IO850l30oDMNMgIskhplCt+Wj2/KXfRgMwzDMhnDn2a1lHwLDMFNgux3DMAzDMAzDMIwBF0kMwzAMwzAMwzAGXCQxDMMwDMMwDMMYcJHEMAzDMAzDMAxjwEUSwzAMwzAMwzCMARdJDMMwDMMwDMMwBlwkMQzDMAzDMAzDGHCRxDAMwzAMwzAMY8BFEsMwDMMwDMMwjAEXSQzDMAzDMAzDMAZcJDEMwzAMwzAMwxhwkcQwDMMwDMMwDGPARRLDMAzDMAzDMIwBF0kMwzAMwzAMwzAGXCQxDMMwDMMwDMMYCCnlso+hMUKIKwA+0+AuzgF4fkaHs67wa8Cvwc3+/AF+DZo+/7uklOdndTCbxAy+p4DNOT/5eawem/JcNuV5AJvzXFbxeVh9V21EkdQUIcSjUsrLyz6OZcKvAb8GN/vzB/g1uNmf/6qzKe8PP4/VY1Oey6Y8D2Bznss6Pw+22zEMwzAMwzAMwxhwkcQwDMMwDMMwDGPARZLiHcs+gBWAXwN+DW725w/wa3CzP/9VZ1PeH34eq8emPJdNeR7A5jyXtX0e3JPEMAzDMAzDMAxjwEoSwzAMwzAMwzCMARdJDMMwDMMwDMMwBjdVkSSEeLMQ4qNCiMeFED9U8e9tIcQvZ//+B0KIFy3+KOeLxWvw/UKIDwshPiCE+M9CiLuWcZzzYtrzN37v64QQUgixlrGVk7B5DYQQ35CdBx8SQvzioo9xnlh8Bu4UQvyuEOL92efgK5ZxnPNCCPEvhRDPCSE+WPPvQgjxj7PX5wNCiFct+hiZUWyvW6uGEOKO7LOkryV/O/v5GSHE7wghPp79f3/Zx2qLEMLPrg2/kf397my98Hi2fmgt+xinIYTYE0L8qhDiMSHER4QQr1vX90QI8X3ZufVBIcS/FUJ01uE9qboO170Hq35NrnkuP56dXx8QQrxLCLFn/NsPZ8/lo0KIL1vOUVsipbwp/gPgA/gEgHsAtAD8KYAHS7/z3QB+JvvzWwD88rKPewmvwRsBbGV//q5Neg1snn/2e6cA/D6A9wK4vOzjXsI5cD+A9wPYz/5+y7KPe8HP/x0Aviv784MAPr3s457xa/AGAK8C8MGaf/8KAP8BgADw+QD+YNnHfDP/Z3vdWsX/AFwA8Krsz6cAfCz7TP0YgB/Kfv5DAH502cdKeE7fD+AXAfxG9vdfAfCW7M8/o68dq/wfgJ8D8B3Zn1sA9tbxPQFwO4BPAega78W3rsN7UnUdrnsPVv2aXPNcvhRAkP35R43n8mB2DWsDuDu7tvnLfg51/91MStJrADwupfyklHII4JcAPFL6nUegLh4A8KsAvkQIIRZ4jPNm6msgpfxdKeVJ9tf3Ari04GOcJzbnAAD8CNSHur/Ig1sQNq/B3wDwT6WU1wBASvncgo9xntg8fwngdPbnXQBPLfD45o6U8vcBXJ3wK48A+HmpeC+APSHEhcUcHVOB7XVr5ZBSPi2l/OPsz4cAPgK1sDW/a38OwF9ezhHSEEJcAvCVAP559ncB4C9ArReANXguQohdqEXtvwAAKeVQSnkda/qeAAgAdIUQAYAtAE9jDd6Tmutw3Xuw0tfkqucipfxtKWWc/dVcSz4C4JeklAMp5acAPA51jVtJbqYi6XYAnzP+/kT2s8rfyd7cGwDOLuToFoPNa2Dy7VC7F5vC1Oefydh3SCl/c5EHtkBszoEHADwghPjvQoj3CiHevLCjmz82z/9/B/AtQognAPwWgL+1mENbGajXCWa+bMT7IZR9/ZUA/gDArVLKp7N/egbArUs6LCr/CMAPAkizv58FcN1YDK7De3M3gCsA/lVmG/znQohtrOF7IqV8EsD/CeCzUMXRDQDvw/q9J5q692DdrwHfhmItuVbP5WYqkhgCQohvAXAZwI8v+1gWhRDCA/ATAP7uso9lyQRQlrsvBvBNAH7W9BPfBHwTgH8tpbwEZXP4hezcYBjGASHEDoBfA/B3pJQH5r9J5cFZ+VkkQoivAvCclPJ9yz6WhgRQ1qifllK+EsAxlLUrZ43ek30oZeJuABcBbAPYiE29dXkPpiGEeBuAGMA7l30sLtxMX/xPArjD+Pul7GeVv5NJt7sAXljI0S0Gm9cAQog3AXgbgK+WUg4WdGyLYNrzPwXgpQD+qxDi01De33eLzQpvsDkHngDwbilllMnhH4MqmjYBm+f/7VCedkgp/weADoBzCzm61cDqOsEsjLV+P4QQIVSB9E4p5b/Lfvystgtl/18HS+/rAXx19t3wS1CWrv8byvoUZL+zDu/NEwCekFL+Qfb3X4UqmtbxPXkTgE9JKa9IKSMA/w7qfVq390RT9x6s5TVACPGtAL4KwDdnRR+wZs/lZiqS/gjA/VnqSQsqmOHdpd95N4C//v+3d/+hftV1HMefr2aZYkGyQVLEcoU5g665aOaqlWG1P0xEnBGlFMjAkv4QIQZSo2ASGFFBERGxho5+bF3S0Eznj+sf27K7e+dcKgUlpuk/y9kcIu/+OJ9LB9nd7q73fr+7d88HHPieH9/veX++n+/3nPM+53M+p72+CrivV7GLwXG/gyQXAj+hS5AWwkbyRByz/FV1sKqWVtXyqlpO14728qraM5xw58VM/gc76K4ikWQpXfO7vw0yyHk0k/L/A7gUIMn5dEnS8wONcrhGgS+1HpVWAwd7TUA0eDP5zZ6U2j07PwMer6rberP6+9prgd8NOrYTVVXfqKp3tn3DNXTHB18A7qc7XoAFUJaqehb4Z5Lz2qRLgf0swDqh21avTnJm+61NlWVB1UnPdHWw4LbJrZn+zXTHUP/tzRoFrknXm/S76U7A7hpGjDMy7J4jBjnQNZ15gq43jY1t2ia6SoTuYOhXdDeS7QLOHXbMQ/gO7gWeA8bbMDrsmAdZ/tcsu5NF1rvdDH8DoWt2uB+YpPUStFiGGZR/JTBG1wPPOHDZsGOe4/LfTtd+/xW6s8pfATYAG3r1/6P2/Uwuxv/AQhuO9ptdCAOwhq7J0ERvn7KO7l6ePwFPtn3O2cOO9QTLtZb/9253bjteeKodP5w+7PhmEP8IsKfVyw7gbQu1ToBvAQeAfcAWul7TTvo6mWY7fNQ6ONm3ydOU5Sm6e4+m/vc/7i2/sZXlr8Bnhx3/sYa0gCVJkiRJnFrN7SRJkiTpuEySJEmSJKnHJEmSJEmSekySJEmSJKnHJEmSJEmSekySpNchycYkjyWZSDKe5MMDXv/aJL8f5DolSYtDkkOvGb8uyQ9P8DNGkqyb28ik4Tvt+ItIOpokF9M9TfqDVXWkPXj1TUMOS5KkgUhyGt1zl1YBdw05HGlOeSVJmr1zgBeq6ghAVb1QVc8kuSjJA0n+nOTuJOcAJHlPknuT7E3yaJIV7Qna302yL8lkkvVt2bVJdib5dZIDSba2J4qT5DNt2qPAlVPBJPl4u5o1nuQvSd4y+K9EkrQYJFmW5DdJdrfhkjb9m0m2JBmje4DrJmB92/esT3JXb190MMm1Qy2INEteSZJm7x7gliRP0D0dexvwCPAD4HNV9XxLer4DfBnYCmyuqu1J3kx3kuJKurNwHwCWAruTPNg+/0LgAuAZYAy4JMke4KfAJ+meaL2tF89NwA1VNZbkLODl+Su6JGkROCPJeG/8bGC0vf4+8L2qejjJu4C7gfPbvJXAmqo6nOQ6YFVVfbXN2waQ5CLg58COeS6DNC9MkqRZqqpDbSfwUeATdDuGbwPvB/7YLvwsAf7Vruq8o6q2t/e+DJBkDXB7Vb0KPJfkAeBDwH+AXVX1dFtuHFgOHAL+XlVPtum/BK5vIY0BtyXZCvx26r2SJE3jcFWNTI1MJTxt9FPAyrYvA3hrOwEHMFpVh6f70Nb8fAtwdVUdnPOopQEwSZJeh5bc7AR2JpkEbgAeq6qL+8vNsunbkd7rVznO/7WqNie5E1gHjCX5dFUdmMV6JUl6A7B66qTelJY0vTTdm5IsAe4ANlXVvnmNUJpH3pMkzVKS85K8tzdpBHgcWNY6dSDJG5NcUFUvAk8nuaJNPz3JmcBDdG25lyRZBnwM2HWM1R4AlidZ0cY/34tnRVVNVtWtwG7gfXNUVEnSqece4GtTI0lGplnuRaB/InAzMFFVd8xjbNK8M0mSZu8s4BdJ9ieZoGujfQtwFXBrkr3AOPCRtvwXgRvbso8Abwe2AxPAXuA+4Oaqena6FbYzetcDd7aOG/7dm/311gHEBPAK8Ie5K6ok6RRzI7CqPeJiP7BhmuXup2uWN97uw70JuKzXecPlgwpYmkupqmHHIEmSJEknDa8kSZIkSVKPSZIkSZIk9ZgkSZIkSVKPSZIkSZIk9ZgkSZIkSVKPSZIkSZIk9ZgkSZIkSVLP/wCSuLc+qj0e3QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fourier_example()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Information Theory" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "In a 1948 paper [[5](#References)], Claude Shannon described how messages could be sent over noisy communications\n", "channels with an arbitrarily small probability of error,\n", "provided those messages were sent at a suitable speed, and with suitable encoding.\n", "\n", "Shannon showed that there was a \"speed limit\" for sending messages with arbitrarily small probability of error,\n", "which he named the **channel capacity**.\n", "The channel capacity defines how fast **information** can be sent across a particular communications channel.\n", "Shannon defines the information content of a message mathematically in his paper,\n", "as a measure of how unexpected that message might be - unexpected messages contain more information than messages that were expected.\n", "\n", "Shannon's paper spawned an entire field of research called **information theory** which is the theoretical\n", "basis for modern digital communications systems.\n", "\n", "The model used in information theory for digital communication systems is illustrated below:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Communication Model](drawings/Communication%20Model.svg)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Messages are first subject to *source encoding* to remove redundancy and represent the message using a\n", "minimal number of bits.\n", "Source encoding is sometimes called *data compression*.\n", "A perfect source encoding scheme reduces the message to a number of bits that is equal to the information\n", "content of the message.\n", "\n", "The source encoding used for the FT8 digital mode by WSJT-X is a unique packing developed by the primary WSJT-X\n", "author, Dr. Joe Taylor (K1JT),\n", "that is similar (but not identical) to that used in the earlier JT65 digital mode.\n", "\n", "After messages are compressed using source encoding, they are then subject to channel encoding to enable\n", "correction of errors introduced by noise in the communcation channel.\n", "\n", "The channel encoding used by WSJT-X for FT8 involves 3 different codes,\n", "an error detection code (CRC code [[6](#References)]),\n", "a forward error correction code (LDPC code [[7](#References)]),\n", "and a code to minimise the introduction of errors when converting from the analog to digital domains\n", "at the receiver (Gray code [[8](#References)])." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Costas Arrays" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Costas arrays are a mathematical construct named after John Costas who first proposed them in the 1960s\n", "to improve the capability of SONAR systems [[9](#References)][[10](#References)].\n", "\n", "Costas arrays are comprised of a grid of points with one point in each row and column.\n", "The defining property for Costas arrays is that the displacement vectors (distance and direction) between any\n", "pair of points in the array are distinct i.e. different to that of any other pair of points.\n", "\n", "WSJT-X uses Costas arrays to accurately identify the frequency and time offset of FT8 signals by\n", "exploiting their distinct auto-ambiguity function when the Costas array is used to generate a\n", "sequence of tones - this is analogous to the determination of relative velocity (from doppler frequency shift)\n", "and range (from time offset) in a SONAR or RADAR system.\n", "\n", "The following example illustrates the Costas array used in the FT8 digital mode, along with its\n", "auto-ambiguity function:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def costas_example():\n", " \n", " plt.figure(figsize=(14, 7))\n", " \n", " # Plot the Costas array used by FT8 \n", " ax1 = plt.subplot(121)\n", " ax1.grid(True)\n", " ax1.set_title('FT8 Costas Array')\n", " ax1.set(xlabel='Time', ylabel='Frequency')\n", " plt.scatter(np.arange(ft8.costas_order), ft8.costas, 1000)\n", " \n", " # Calculate the auto-ambiguity\n", " array = np.zeros((ft8.costas_order, ft8.costas_order))\n", " for t, f in enumerate(ft8.costas):\n", " array[t,f] = 1.0\n", " auto = scipy.signal.correlate(np.pad(array, 5, mode='constant'), array)\n", "\n", " # Plot auto-ambiguity\n", " ax2 = plt.subplot(122, projection='3d')\n", " x, y = np.meshgrid(np.arange(auto.shape[0]) - 7 - 5, np.arange(auto.shape[1]) - 7 - 5)\n", " ax2.set(xlabel='Time Offset', ylabel='Frequency Offset', zlabel='Overlapping Points')\n", " ax2.plot_surface(x, y, auto, linewidth=0, cmap=plt.get_cmap('coolwarm'))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "costas_example()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. https://physics.princeton.edu/pulsar/k1jt/wsjtx.html\n", "1. Fourier, \"Mémoire sur la propagation de la chaleur dans les corps solides,\" Nouveau Boulletin des Sciences, vol. 1, pp. 112-116, 1807.\n", "1. James W. Cooley and John W. Tukey, \"An Algorithm for the Machine Computation of Complex Fourier Series,\" Mathematics of Computation, vol. 19, pp. 297-301, Apr. 1965.\n", "1. Matteo Frigo and Steven G. Johnson, \"The Design and Implementation of FFTW3,\" Proceedings of the IEEE, vol. 93, pp. 216–231, Feb. 2005.\n", "1. C. E. Shannon, \"A Mathematical Theory of Communication,\" The Bell System Technical Journal, vol. 27, pp. 379-423, Jul. 1948.\n", "1. W. W. Peterson and D. T. Brown, \"Cyclic Codes for Error Detection,\", Proceedings of the IRE, vol. 49, pp. 228-235, Jan. 1961.\n", "1. R. G. Gallager, \"Low-Density Parity-Check Codes,\" IRE Transactions on Information Theory, vol. 8, pp. 21-28, Jan. 1962.\n", "1. Frank Gray, \"Pulse Code Communication,\" U.S. Patent 2,632,058, filed 13 Nov. 1947, issued 17 Mar. 1953.\n", "1. J. P. Costas, “Medium constraints on SONAR design and performance,” GE Co., Class 1 Rep. R65EMH33, Nov. 1965.\n", "1. John P. Costas, \"A Study of a Class of Detection Waveforms Having Nearly Ideal Range-Doppler Ambiguity Properties,\" Proceedings of the IEEE, vol. 72, pp. 996-1009, Aug. 1984." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## License\n", "Copyright (C) 2019 James Kelly, VK3JPK.\n", "\n", "\"Creative
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }