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| { | |
| "metadata": { | |
| "name": "", | |
| "signature": "sha256:7110b3ef13276ef5f1aa24f0358a4dc507e9664df10b43363d2a912e7706e3f2" | |
| }, | |
| "nbformat": 3, | |
| "nbformat_minor": 0, | |
| "worksheets": [ | |
| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Ephemeris for KIC 9652632\n", | |
| "\n", | |
| "Using the mid-eclipse time and period from the [Villanova Eclipsing Binary Catalog](http://keplerebs.villanova.edu/), we compute the visible eclipses from APO. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# What will the eclipses look like throughout the night?\n", | |
| "\n", | |
| "The vertical dotted lines are sunrise and sunset. \n", | |
| "Using airmass approximation from [Wikipedia](http://en.wikipedia.org/wiki/Air_mass_(astronomy))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "%pylab inline\n", | |
| "import numpy as np\n", | |
| "from astropy.time import Time\n", | |
| "from matplotlib import pyplot as plt\n", | |
| "from matplotlib.ticker import FormatStrFormatter\n", | |
| "import ephem\n", | |
| "\n", | |
| "def secant(z):\n", | |
| " return 1./np.cos(z)\n", | |
| "\n", | |
| "eclipse1 = ['2014-10-24 02:05:49', '2014-10-24 07:05:49']#['2014-10-24 03:35:49', '2014-10-24 05:35:49']\n", | |
| "eclipse2 = ['2014-10-29 01:33:36', '2014-10-29 06:33:36']#['2014-10-29 03:03:36', '2014-10-29 05:03:36']\n", | |
| "eclipse3 = ['2014-11-03 01:01:23', '2014-11-03 06:01:23']\n", | |
| "eclipse4 = ['2014-11-08 00:29:09', '2014-11-08 05:29:09']\n", | |
| "'''\n", | |
| "Ingresses \n", | |
| "10/24/14\t2:05:49 2014-10-24 02:05:49\n", | |
| "10/29/14\t1:33:36 2014-10-29 01:33:36\n", | |
| "11/3/14\t1:01:23 2014-11-03 01:01:23\n", | |
| "11/8/14\t0:29:09 2014-11-08 00:29:09\n", | |
| "\n", | |
| "Egresses\n", | |
| "10/24/14\t7:05:49 2014-10-24 07:05:49\n", | |
| "10/29/14\t6:33:36 2014-10-29 06:33:36\n", | |
| "11/3/14\t6:01:23 2014-11-03 06:01:23\n", | |
| "11/8/14\t5:29:09 2014-11-08 05:29:09\n", | |
| "'''\n", | |
| "mideclipse1 = 0.5*sum([Time(time, format='iso', scale='utc').mjd for time in eclipse1])\n", | |
| "mideclipse2 = 0.5*sum([Time(time, format='iso', scale='utc').mjd for time in eclipse2])\n", | |
| "mideclipse3 = 0.5*sum([Time(time, format='iso', scale='utc').mjd for time in eclipse3])\n", | |
| "mideclipse4 = 0.5*sum([Time(time, format='iso', scale='utc').mjd for time in eclipse4])\n", | |
| "mideclipses = [mideclipse1, mideclipse2, mideclipse3, mideclipse4]\n", | |
| "period = 4.977624\n", | |
| "\n", | |
| "# Set up APO for PyEphem:\n", | |
| "observatory = ephem.Observer()\n", | |
| "observatory.lat = '32.0:46.0:49.0'#'38:58:50.16'\t## Input format- deg:min:sec (type=str)\n", | |
| "observatory.long = '-105.0:49.0:13.0'#'-76:56:13.92' ## Input format- deg:min:sec (type=str)\n", | |
| "observatory.elevation = 100.0 # m\n", | |
| "observatory.temp = 0.0\t ## Celsius \n", | |
| "observatory.horizon = '00:00:00'\t## Input format- deg:min:sec (type=str)\n", | |
| "\n", | |
| "# Set up our target star for PyEphem: \n", | |
| "star = ephem.FixedBody()\n", | |
| "star._ra = ephem.hours('19:32:59.359')\n", | |
| "star._dec = ephem.degrees('+46:18:37.50')\n", | |
| "\n", | |
| "fig, ax = plt.subplots(4, 1, figsize=(16,24))\n", | |
| "for i in range(4):\n", | |
| " APOtimedifference = -6.0\n", | |
| " mideclipse = mideclipses[i] + APOtimedifference/24#primaryeclipses[0] + APOtimedifference/24\n", | |
| "\n", | |
| " # Find times of sunrise and sunset\n", | |
| " sun = ephem.Sun()\n", | |
| " observatory.date = mideclipses[i]\n", | |
| " sunrise = observatory.next_rising(sun)\n", | |
| " sunset = observatory.next_setting(sun)\n", | |
| " sunrise_hh, sunrise_mm, sunrise_ss = map(float,str(sunrise).split(' ')[1].split(':'))\n", | |
| " sunset_hh, sunset_mm, sunset_ss = map(float,str(sunset).split(' ')[1].split(':'))\n", | |
| " \n", | |
| " # Convert the one good mideclipse time into hours, minutes, seconds.\n", | |
| " mideclipse_hh, mideclipse_mm, mideclipse_ss = map(float,Time(mideclipses[i], format='mjd', \\\n", | |
| " scale='utc').iso.split(' ')[1].split(':'))\n", | |
| " fltmideclipse_hh = mideclipse_hh + mideclipse_mm/60.0\n", | |
| "\n", | |
| " # Download phase folded data from Villanova database\n", | |
| " data = np.loadtxt('09652632.00.lc.pf.data')\n", | |
| " phase = data[:,0]\n", | |
| " hours = phase*period*24\n", | |
| " flux = data[:,1]\n", | |
| "\n", | |
| " # Using phase units converted to hours, subtracting off \n", | |
| " flthours = (hours + fltmideclipse_hh)\n", | |
| " refdate = Time(int(mideclipse), format='mjd', scale='utc').iso\n", | |
| "\n", | |
| " # Convert model times into JD for calculating airmass\n", | |
| " #alltimes_JD = [Time(int(mideclipse)+hour/24.0, format='mjd', scale='utc').iso for hour in hours] \n", | |
| " alltimes_JD = [Time(int(mideclipse)+hour/24.0, format='mjd', scale='utc').iso for hour in flthours] \n", | |
| " airmasses = np.zeros(len(alltimes_JD)) + 100\n", | |
| " for j in range(len(alltimes_JD)):\n", | |
| " observatory.date = alltimes_JD[j].replace('-','/')\n", | |
| " star.compute(observatory)\n", | |
| " z = np.pi/2-float(star.alt) # in radians\n", | |
| " if z < np.pi/2: \n", | |
| " airmasses[j] = secant(z)#secant(z)*(1 - 0.0012*(secant(z)**2 - 1))\n", | |
| " \n", | |
| " #fig, ax = plt.subplots(1, figsize=(12,8))\n", | |
| " ax[i].plot(flthours, flux, lw=2, label=\"Relative Flux\")\n", | |
| " ax[i].set_xlabel('Hours since %s UTC' % refdate)\n", | |
| " ax[i].set_ylabel('Relative flux', color='b')\n", | |
| " ax[i].set_title('KIC 9652632: Eclipse '+str(i+1)+' at APO')\n", | |
| " for tl in ax[i].get_yticklabels():\n", | |
| " tl.set_color('b')\n", | |
| " \n", | |
| " ax2 = ax[i].twinx()\n", | |
| " ax2.plot(flthours, airmasses, 'r--', lw=2, label=\"Airmass\")\n", | |
| " ax2.set_ylabel('Airmass', color='r')\n", | |
| " ax2.set_ylim([1, 3])\n", | |
| " for tl in ax2.get_yticklabels():\n", | |
| " tl.set_color('r')\n", | |
| " \n", | |
| " fmt2 = FormatStrFormatter('%i:00')\n", | |
| " ax[i].xaxis.set_major_formatter(fmt2)\n", | |
| "\n", | |
| " sunrise_utc = sunrise_hh+sunrise_mm/60.0 + APOtimedifference\n", | |
| " sunset_utc = sunset_hh+sunset_mm/60.0 + APOtimedifference\n", | |
| " if sunset_utc > 12:\n", | |
| " sunset_utc -= 24\n", | |
| " halfnight = 0.5*sum([sunrise_utc, sunset_utc])\n", | |
| " ax[i].axvline(sunrise_utc, ls='--', color='k')\n", | |
| " ax[i].axvline(sunset_utc, ls='--', color='k')\n", | |
| " ax[i].axvline(halfnight, ls=':', color='k')\n", | |
| " ax[i].set_xlim([sunset_utc - 1, sunrise_utc + 1])\n", | |
| "\n", | |
| "plt.show()" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "stream": "stdout", | |
| "text": [ | |
| "Populating the interactive namespace from numpy and matplotlib\n" | |
| ] | |
| }, | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
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RYnbdVcm0eKOEWkRERERERKQSUlyydCOAE4GlEOxfyj5DgY7AGqAXBJNjz3cABgM5wGMQ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| |
| "text": [ | |
| "<matplotlib.figure.Figure at 0x1056b9390>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 29 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Figure caption: \n", | |
| "Model secondary eclipses of KIC 9652632 (blue curve) using the phase folded and convolved light curves from the Villanova Eclipsing Binary Catalog for the four possible nights of observations from APO and the airmass (red curve), plotted with respect to sunrises and sunsets (vertical dashed black lines) and local midnight (vertical dotted black line). The eclipses are listed in priority order. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Make phase curve for all time at APO " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "villa_t0 = 2454955.175512\n", | |
| "v_oursA = 80\n", | |
| "v_oursB = -11\n", | |
| "delta_v = 0.5*(v_oursA - v_oursB)\n", | |
| "\n", | |
| "proposedDISobs = [Time('2014-09-06 03:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-09-06 05:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-09-07 04:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-09-07 08:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-09-08 03:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-09-08 05:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-08-15 08:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-08-15 10:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-08-18 08:00:00', format='iso', scale='utc').jd,\\\n", | |
| " Time('2014-08-18 10:00:00', format='iso', scale='utc').jd]\n", | |
| "\n", | |
| "startobs = Time('2014-09-06 00:00:00', format='iso', scale='utc').jd\n", | |
| "endobs = Time('2014-09-08 12:00:00', format='iso', scale='utc').jd\n", | |
| "\n", | |
| "times = np.linspace(startobs, endobs, 1000)\n", | |
| "phase = np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v1 = delta_v*np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v2 = -1*v1\n", | |
| "\n", | |
| "sunsets = [Time('2014-09-0'+str(day)+' 02:00:00', format='iso', scale='utc').jd for day in range(6, 9)]\n", | |
| "sunrises = [Time('2014-09-0'+str(day)+' 12:00:00', format='iso', scale='utc').jd for day in range(6, 9)]\n", | |
| "\n", | |
| "fig, ax = plt.subplots(2, 1, figsize=(16, 10))\n", | |
| "ax[0].plot(times, phase, color='k')\n", | |
| "ax[0].set_xlabel('JD')\n", | |
| "ax[0].set_ylabel('Phase')\n", | |
| "ax[0].set_title('APO Class Visit')\n", | |
| "\n", | |
| "ax[1].plot(times, v1, color='k', ls='--', label='Star A')\n", | |
| "ax[1].plot(times, v2, color='k', ls='-.', label='Star B')\n", | |
| "ax[1].legend()\n", | |
| "ax[1].set_xlabel('JD')\n", | |
| "ax[1].set_ylabel('Radial Velocity')\n", | |
| "for i in range(len(sunrises)):\n", | |
| " ax[0].axvline(sunrises[i], color='b', lw=2, ls='--')\n", | |
| " ax[0].axvline(sunsets[i], color='r', lw=2, ls='--')\n", | |
| " \n", | |
| " observatory.date = Time(sunsets[i], format='jd', scale='utc').iso\n", | |
| " star.compute(observatory)\n", | |
| " starset = Time(str(observatory.next_setting(star)).replace('/', '-'), format='iso', scale='utc').jd\n", | |
| " ax[0].axvline(starset, color='k', lw=4)\n", | |
| "for i in range(len(proposedDISobs)):\n", | |
| " for j in range(2):\n", | |
| " ax[j].axvline(proposedDISobs[i], color='k', ls=':')\n", | |
| " ax[j].set_xlim([np.min(times)-0.1, np.max(times)+0.1])\n", | |
| "plt.show()" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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Du+++S6dOnfD1df7uSr1hIiJpU570nF9++YXXX3+dTZs2MW7cONq1a6dWGBGT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| |
| "text": [ | |
| "<matplotlib.figure.Figure at 0x1004840d0>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 30 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Legend\n", | |
| "Blue lines: sunrise. Red lines: sunset. Black dotted lines: sample observations. Black solid lines: our target sets below 20 degrees elevation.\n", | |
| "\n", | |
| "Night is from the red to the blue lines. Quadrature is at phase$ = \\pm$1, eclipses are at phase = 0. On the first and last nights we get the A half, on the middle night we have A+B. \n", | |
| "\n", | |
| "We need to take DIS low and high res. High resolution makes most sense to use nearest to eclipse, so the third night is best for high res, the other two nights are good for low res. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "#villa_t0 = 2454955.175512\n", | |
| "startobs = Time('2014-08-14 02:00:00', format='iso', scale='utc').jd\n", | |
| "endobs = Time('2014-08-18 12:00:00', format='iso', scale='utc').jd\n", | |
| "\n", | |
| "times = np.linspace(startobs, endobs, 1000)\n", | |
| "phase = np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v1 = delta_v*np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v2 = -1*v1\n", | |
| "\n", | |
| "sunsets = [Time('2014-08-'+str(day)+' 02:00:00', format='iso', scale='utc').jd for day in [14, 15, 18]]\n", | |
| "sunrises = [Time('2014-08-'+str(day)+' 12:00:00', format='iso', scale='utc').jd for day in [14, 15, 18]]\n", | |
| "\n", | |
| "fig, ax = plt.subplots(2, 1, figsize=(16, 10))\n", | |
| "ax[0].plot(times, phase, color='k')\n", | |
| "\n", | |
| "ax[1].plot(times, v1, color='k', ls='--', label='Star A')\n", | |
| "ax[1].plot(times, v2, color='k', ls='-.', label='Star B')\n", | |
| "ax[1].legend()\n", | |
| "ax[1].set_xlabel('JD')\n", | |
| "ax[1].set_ylabel('Radial Velocity')\n", | |
| "\n", | |
| "ax[0].set_xlabel('JD')\n", | |
| "ax[0].set_ylabel('Phase')\n", | |
| "ax[0].set_title('Q3 August APO run')\n", | |
| "for i in range(len(sunrises)):\n", | |
| " ax[0].axvline(sunrises[i], color='b', lw=2, ls='--')\n", | |
| " ax[0].axvline(sunsets[i], color='r', lw=2, ls='--')\n", | |
| "\n", | |
| " observatory.date = Time(sunsets[i], format='jd', scale='utc').iso\n", | |
| " star.compute(observatory)\n", | |
| " starset = Time(str(observatory.next_setting(star)).replace('/', '-'), format='iso', scale='utc').jd\n", | |
| " ax[0].axvline(starset, color='k', lw=4)\n", | |
| "\n", | |
| " for j in range(2):\n", | |
| " ax[j].set_xlim([np.min(times)-0.1, np.max(times)+0.1])\n", | |
| " ax[j].axvline(proposedDISobs[i], color='k', ls=':')\n", | |
| "\n", | |
| "for i in range(len(proposedDISobs)):\n", | |
| " for j in range(2):\n", | |
| " ax[j].axvline(proposedDISobs[i], color='k', ls=':')\n", | |
| " ax[j].set_xlim([np.min(times)-0.1, np.max(times)+0.1])\n", | |
| " \n", | |
| "plt.show()" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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ZbDYbS5YsYdCgQZQuXZotW7ZQokQJs8NyTzqhG+LM5tOSYxHxOFapGREREbkrMjKSypUr\nM3bsWMLCwli1apWSWYuzynhICa2IiIiIiJs6efIkrVu3plWrVvTo0YM9e/bg5+dndlgiTqMa2qS0\ntMAwI02o+kEXoD5gmPqAiIg4w6VLlxg9ejQzZ86kb9++BAcHkyVLFrPD8hwaExmSkubTPrQiIiIi\nIh4uISGBmTNnUrRoUS5cuMCBAwcYMmSIklmxLCW0IuJxrFIzIiIi1hIdHY2vry8zZ85k7dq1hIaG\n8vzzz5sdlrgoq4yHlNAmZbNpWYFBakI3pwNomJpQREQc7fz58wQFBdG0aVN69epFREQE5cuXNzss\nz6YTuiHObD7V0IrLUP2gWJ36gIiIJHX79m2mT5/OyJEjad++PcOGDSN79uxmhyWSKrQPrYiIiIiI\nh9i2bRu9e/fm3//+N1u3btUWPCIPoSXHIuJxrFIzIiIinuf8+fO0b9+e9u3bM3ToUDZt2qRkVlLE\nKuMhJbQiIiIiIiZLSEggNDSUkiVL8txzz3Ho0CFatGhx3zJMEfknT+khqqH1AKofFKtTHxARsaaD\nBw/SvXt3bt++zeeff06ZMmXMDknE6bQPrSN4ef29C7CkiJrQzekAGqYmFBGR5Lp69Srvvfcefn5+\ntG3blp07dyqZdRU6oRvizOZTQisiHscqNSMiIuK+1q9fT6lSpThx4gSxsbH06NGDtGnTmh2WeBCr\njId0lWMRERERESf59ddf6dOnD1FRUUyfPp369eubHZKIW/OUeXTH1NDenRdX3VqKGWlC1Q+6APUB\nw9QHRETkQWw2GwsXLqRfv360b9+eESNGkCVLFrPDkofRmMiQlDSf9qEVEREREXFB8fHx9OjRg5Mn\nT/LVV19RsWJFs0MS8RiqoRURj2OVmhEREXFtNpuN0NBQvL29KVeuHHv37lUyK05jlfGQZmiT0pIC\nw9SEbk4H0DA1oYiIAJw8eZJu3bpx8eJFvvnmG0qXLm12SPIkdEI3xJnNpxpacRmqHxSrUx8QEXF/\nCQkJTJs2jREjRjBw4ED69etHunSaQxJ5HNXQioiIiIiYKC4ujs6dOwOwc+dOihQpYnJEIp5PNbQi\n4nGsUjMiIiKuISEhgalTp/Lqq6/SqlUrtm/frmRWTGeV8ZBmaEVEREREUujMmTO88cYb/Pnnn+za\ntYvChQubHZKIpaiGVlyG6gfF6tQHRETch81m48svv6R///68/fbbDBw4ULWyIgaohtYRtIGyYWpC\nN6cDaJiaUETE850/f57u3btz/PhxNm7ciLe3t9khiaPphG6IM5tPNbQi4nGsUjMiIiLOt2LFCsqU\nKUPRokX59ttvlcyKy7LKeEgztCIiIiIij3Hp0iX69OlDZGQky5Yto3LlymaHJCKohvaftLTAMCNN\nqPpBF6A+YJj6gIiI59m2bRsdOnTgtddeY9y4cWTNmtXskCS1aUxkSEqaL6U1tGYvOa4PHAHigHce\ncL8fcBn4LvH2vtMiExERERFLu3XrFu+99x6BgYGEhIQwbdo0JbMiLsbMhDYtMBV7UlscCASKPeBx\n24CyibdRTotORNyWVWpGREQk9cTFxVG5cmViYmLYv38/DRs2NDskkSdilfGQmQltJeAH4BRwC1gE\nNHnA45y2LPr8L7/w808/OevtPJLNppUZbk0H0DA1oYiIe7PZbMycOZPKlSvTqVMn1qxZQ65cucwO\nS5xNJ3RDnNl8ZtbQtgDqAV0Tv28H+AC9kzzmP8By4CwQD/QHDj3gtRxSQ7tgwQKCg4OZOXOmPoUz\ngeoHxerUB0REzHXhwgW6detGXFwcCxYsoESJEmaHJGIZ7rgPbXJGavuAvMBVoAGwEij8oAcmnRL3\n8/PDz8/viQNq06YNefLkoV27djRv3pwxY8aQMWPGJ34dEREREXEvmzdvpmPHjrRs2ZJ58+aRKVMm\ns0MSsbStW7eydevWxz7OzBlaX2A49hpagHeBBGDsI55zEigPXLjn5465ynGiCxcuEBQUxMmTJ1m0\naBFFihRx2GvLw2l2Shxl+PDhhuo+jD4/pdQHRESc7+bNm7z//vvMnz+fsLAw6tata3ZIIg7hbuMh\nd7zK8R6gEFAAyAC0Blbf85jc/B10pcSv701mHS5HjhwsW7aM7t27U7VqVcLCwjSwFBEREfEwcXFx\nvPrqqxw9epT9+/crmRVxQ2bvQ9sAmIT9isczgY+A7on3fQ70BHoAt7EvO+4H7H7A6zh0hjapAwcO\nEBAQQOnSpQkJCSF79uyp8j6i2SkR9QEREedZsGABb731FiNGjKBHjx73/Q0WEedK6Qytp/RcxyS0\nD9kB+OrVqwQHB7NhwwYWLFiAr6+v8ffyUEb2oNZg3gVoE3HD1AdERFzb1atX6dOnDzt27GDx4sV4\ne3ubHZK4Io2JDElJ87njkmO3kSVLFkJCQhg/fjyNGzfmo48+IiEhweywROQhrLLvmoiIPJmDBw9S\nsWJFbt68yd69e5XMikezynhICe0T8Pf3Z8+ePaxbt466dety7tw5s0MSERERkcew2WyEhobi5+fH\nwIED+fLLL3nqqafMDktEHEBLjpNK5tz47du3GTFiBLNmzWLevHnUqFHD+Ht7CC23dHNaXmOY+oCI\niGv5448/6N69OwcPHmTx4sUUK1bM7JDEHWhMZIiWHLu4dOnSMXLkSMLCwmjTpg0jR47kzp07Zocl\nIiIiIkns3buX8uXL8/TTTxMVFaVkVsQDKaE1oG7duuzZs4dNmzbRoEEDzp8/b3ZIIoJ1akZEROTB\nbDYbkydPpkGDBowePZqQkBAyZ85sdlgiTmWV8ZAS2qRstideVvDiiy/yzTffULFiRcqVK8e2bdtS\nKTj3kIImFFeiA2iYmlBExFwXL16kWbNmzJ07l927d9OyZUuzQxJ3pBO6Ic5sPtXQOtD69evp1KkT\nffr0YdCgQaRJo88LnoTqB8Xq1AdERIzZu3cvLVu2pEmTJowdO5YMGTKYHZKIJJP2oXWRgd/Zs2cJ\nCAjgqaeeYu7cufz73/82OyS3ocG8WJ36gIhIythsNr744guGDBlCSEgIzZs3NzskEXlCuiiUi8iT\nJw9btmzB29ubcuXKERERYXZIIpZjlZoRERGBK1eu0KFDB6ZNm0ZERISSWZFEVhkPKaFNBenTp2fM\nmDF89tlnNG/enLFjx5KQkGB2WCIiIiIe5ciRI/j4+JA2bVp2795N4cKFzQ5JRJxMS45T2ZkzZ2jV\nqhW5cuVizpw5PP3002aH5LK03FKsTn1ARCT5Fi1aRO/evRkzZgxvvPHGfX9DRcS9aMmxI3h5/b0L\nsIPkzZuXbdu2kS9fPipWrEhsbKxDX9/VpEITijPpABqmJhQRSV03btygd+/evP/++2zcuJEuXboo\nmRXH0wndEGc2nxJaJ8iQIQNTpkxh+PDh1KpVi7lz55odkohHs0rNiIiI1fz4449Ur16ds2fPsmfP\nHry9vc0OScRlWWU8pITWidq2bcvmzZsZOXIkPXr04MaNG2aHJCIiIuIW1q1bh4+PD61atWL58uUq\n4xIRQDW0/3R3XjyV69YuX75M586diY+PZ+nSpeTLly9V38+ZjDSh6gddgJP6gCdTHxARcaw7d+4w\nfPhwwsLCWLRoEVWrVjU7JLECjYkMSUnzqYbWjWTPnp1ly5bRokULKlWqxNdff212SCIiIiIu5/ff\nf6dhw4ZERESwd+9eJbMich8ltCbx8vJiwIABLFq0iE6dOjFq1Cht7SPiIFapGRER8WTfffcdFStW\npHTp0mzcuJHcuXObHZKIW7HKeEgJbVI2m9OXFfj5+fHtt9+ybt06mjRpwsWLF536/o5mQhOKI+kA\nGqYmFBExbu7cudStW5cxY8bw8ccfky5dOrNDEqvRCd0QZzafamhdxK1btxgwYABfffUV4eHhlC1b\n1uyQnE71g2J16gMiYnU3b94kODiY9evXs2LFCkqWLGl2SCLiJKqhdXPp06dn0qRJfPjhh9StW1db\n+4iIiIil/Pzzz9SqVYtTp07x7bffKpkVkWRRQutiAgIC2LJlCx988AF9+/bl1q1bZock4nasUjMi\nIuIpdu3aRcWKFalTpw6rVq3SljwiDmCV8ZASWhdUsmRJoqOjOXbsGHXq1OH8+fNmhyQiIiLicDab\njWnTptG0aVO++OILhg4dSpo0Gp6KSPKphtaF3blzh2HDhjF37lyWLVtGhQoVzA4pVal+UKxOfUBE\nrOTatWv06NGDffv2sXz5cl555RWzQxIRE6mG1hG8vP7eBdgFpE2bllGjRjFx4kQaNGjAnDlzzA7p\nsVysCeVJ6QAapiYUEXm8U6dOUaVKFW7evElkZKSSWXE9OqEb4szmU0LrBvz9/dm2bRsffvghvXv3\nVl2tyGNYpWZERMQdbdy4EV9fXzp06MD8+fPJmjWr2SGJeCSrjIeU0LqJ4sWLEx0dzalTp6hVqxa/\n/PKL2SGJiIiIJJvNZmPs2LF07NiRxYsX07dv3/uWGIqIPClP+SvimBrau39UXbhuLSEhgREjRhAW\nFkZ4eDiVKlUyO6R/MNKEqh90AW7QB1yd+oCIyP2uXbtGly5dOHbsGCtXriRPnjxmhyTyaBoTGZKS\n5lMNrUWkSZOGESNGMGXKFF577TVmzZpldkgiIiIiDxUfH0/16tXx8vJix44dSmZFxKGU0LqpJk2a\nsH37dsaNG8ebb77JzZs3zQ5JxGVYpWZERMTVRUVF4ePjQ4sWLZg3bx6ZM2c2OyQRy7DKeEgJbVI2\nm1stKyhatCjR0dHEx8dTs2ZNzp07Z3ZI7taEci8dQMPUhCIidl9++SWvv/46n332Ge+8847qZcW9\n6IRuiDObz1P+snjkPrTJlZCQwKhRo5gxYwbLly+nYsWKZoeUIqofFKtTHxART3Dnzh0GDRrEihUr\nWL16NcWLFzc7JBFxAymtoVVC60FWrVpF165d+eSTT2jXrp3Z4TwxDebF6tQHRMTdXbp0icDAQG7d\nusWSJUvIkSOH2SGJiJvQRaGEJk2asHnzZoYNG8aAAQO4c+eO2SGJmMIqNSMiIq7k2LFj+Pr6UqhQ\nIdatW6dkVsRkVhkPKaH1MCVLliQ6Opp9+/bx2muvcenSJbNDEhEREQ+3YcMGqlatSnBwMJMnTyZ9\n+vRmhyQiFqElxx7q9u3bBAcHs379elatWkXRokXNDumxtNxSrE59QETcjc1mY9KkSYwbN44lS5ZQ\nrVo1s0MSETelGlpHDPw8cAPlWbNmMWjQIGbPnk3Dhg1T/f2MNKEG8y7AA/uAs6kPiIhV3Lhxg//7\nv/9j3759rF69mvz585sdkojjaExkSEqaTzW08kBvvPEGK1eupGvXrowdO1YDZLEEq9SMiIiY5dy5\nc9SoUYM///yTnTt3KpkVcUFWGQ8pobWAypUrExUVxdKlS2nbti1Xr141OyQRERFxU3v37qVSpUrU\nq1ePJUuW8NRTT5kdkohYmJYcJ+XhSwuuXbtGUFAQR44cYeXKleTNm9fh76Hllm7Ow/uAM6gPiIgn\nW7RoEb179+azzz6jefPmZocjkno0JjJES44lVWTOnJl58+YREBCAj48PO3fuNDskERERcQMJCQkM\nHjyYQYMGsWnTJiWzIuIylNBajJeXFwMGDGDmzJk0a9aM0NBQs0MScTir1IyIiDjDn3/+SbNmzdix\nYwfR0dGUKVPG7JBEJBmsMh5SQpuUzWaZZQUNGjRgx44dfPzxx/Tu3Ztbt2455HUt1ISeSQfQMDWh\niHiSEydO8Oqrr5I7d242bdpErly5zA5JxDl0QjfEmc2nGlqLu3TpEoGBgdy4cYOlS5eSM2dO02JR\n/aBYnfqAiLiSLVu2EBgYyJAhQ3jzzTfv+xslIuJIqqGVFHn66adZs2YNFSpUoGLFinz//fdmhyQi\nIiImstlsTJ8+nYCAABYsWEDPnj2VzIqIy1JCK6RNm5Zx48YxcuRIatasycqVK80OScQQq9SMiIg4\n2s2bN+nRowfTpk1j165d1KxZ0+yQRCSFrDIeSpfMxxUAXgE2AVkSn/dHKsUkJmnbti2FCxemWbNm\nHDhwgMGDB+sTWREREYv49ddfadmyJdmyZSMyMpJs2bKZHZKIyGMlJ1vpBnQFcgAvA4WBEKBWKsb1\npFRD60BV+t7pAAAgAElEQVQ//fQTzZo1I3/+/ISFhZE1a1anvK/qB8Xq1AdExCyxsbE0adKENm3a\nMHLkSNKk0SI+EXGu1Kyh7QlU5e8Z2WOAZ17izsvr712ALeyFF15g27ZtZMqUiWrVqnH69OlkP1dN\n6OZ0AA1TE4qIu1mxYgW1atVi9OjRfPjhh0pmRUAndIOc2XzJ+Yt1I/F2VzpA0wYeLlOmTMyZM4e2\nbdvi6+vLzp07zQ5JJNmsUjMiImKEzWZj5MiR9OnTh3Xr1hEYGGh2SCLiQFYZDyUnod0GDMZeO1sH\nWAp8lZpBiWvw8vIiODiYmTNn0qxZM2bNmmV2SCIiIuIAV65coXXr1qxdu5bo6GgqVKhgdkgiIimS\nnIngtEAXoG7i9xuAUFxrltYxNbR358VVt3afI0eO0LhxYxo2bMj48eNJl+7B1xMz0oSqH3QB6gOG\nqQ+IiKs7ffo0TZo0oXTp0nz++edkypTJ7JBEXI/GRIakpPlSWkP7pCubcwB5gZgnfF5qU0LrBBcv\nXiQgIICEhAQWL15Mjhw57nuMBvNuTn3AMPUBEXFlERERtGrViv79+/P2229rNwORh9GYyBBnJrTJ\nXXKcDXsyuxeYAUxMfmjiKZ555hnWrl1L6dKl8fHx4fDhw2aHJPJAVqkZERF5EjNnzsTf359Zs2bR\nr18/JbMiHs4q46Hk7EObHfsVjoOAL4FhwPepGZRp9AnMY6VLl44JEyZQsmRJ/vOf/xAWFkajRo3+\nd7+a0M3pABqmJhQRV3P79m2Cg4NZv349O3bsoEiRImaHJOL6dEI3xJnNl5yP5r7HXj87B3gfiAZi\ngdIOeP/6wCTsdbqhwNgHPGYy0AC4CnQCvnvAY7QPrQl27dpFixYt6Nu3LwMGDDD8Sa+WW4rVqQ+I\niKNduHCB1q1bkzZtWhYuXMgzzzxjdkgiIg+UmkuOP8B+Iajj2JPZl4G4lIX5D2mBqdiT2uJAIFDs\nnsc0BF4BCgHdgBAHvK84SOXKlYmKimLx4sW0b9+ea9eumR2SiIiIJDp06BA+Pj6ULl2aNWvWKJkV\nEY+UnIR2KfbZ2B6J3x8HmjvgvSsBPwCngFvAIqDJPY9pjH1mGCAKeBrI7YD3FgfJmzcvO3bs4Pbt\n2/znP/8hPj7e7JBELFMzIiLyMGvWrMHPz4/BgwczYcKEh+5OICKeyyrjoeQktJmBXsB0ICzx5ogN\nSV8EziT5/mzizx73mDwOeG9xoCxZsrBw4UKaNm2Kj48P0dHRZockIiJiSTabjbFjx9K9e3dWrVpF\np06dzA5JRCRVJafoMRw4DLQFRgDtEr/vY/C9m2Nfbtw18ft2gA/QO8ljvgLGADsTv98EDAT23fNa\nqqF1EatWrSIoKIiJEyfSrl27J3qu6gfF6tQHRMSIa9euERQUxNGjR1m5ciV58mgOQETcR0praJOz\n/uQVoAX25cBzgAVARMrC/Id47Hva3pUX+wzsox6TJ/Fn90k6Je7n54efn9+TR6T9pgxr2rQJ0IRh\nw14mNjaWjz76iLRp05odliSX+oBhakIRMUN8fDxNmzbllVdeYfv27WTJksXskETcm07ohjii+bZu\n3crWrVsf/17JeK1o7PWuO4A3gXPY61lfSnl4gD2ZPgrUAn5KfJ9A7LO/dzXEvty5IeCL/YrIvg94\nLcfM0Oo/rmF3m/C3336nZcuWZM6cmQULFpA9e/ZkPFezU6bzkD4wfPhwQ3UfRp5vpAnVB0QkJaKi\nomjevDk9e/Zk0KBB2l9WxBE8YEzkbuOh1LzK8QwgB/Yte1YDh4BxyQ/toW5jT1Y3JL7mYuzJbPfE\nG8B/gRPYLx71OfaEWtxAzpw52bBhAwULFsTX15e4OEdcGFtERESSmjt3Lq+99hrTp0/n3XffVTIr\nIpbjKX/1NEPrIh7UhJ9//jlDhw5l3rx51KlT5xHP1eyU6dQHDNMMrYg4w507d3j33XdZtmwZq1at\nomTJkmaHJOJZNCYyxJkztMlJaDNhv4BTAex7x3oBNuz707oKJbQu4mFNuH37dlq3bs2gQYPo06fP\nAz9B1mDeBagPGKaEVkRS2+XLlwkMDOT69essXbqUnDlzmh2SiOfRmMgQV1tyvAr7frC3gCtJbiLJ\nVr16dSIjI5k1axZBQUHcuHHD7JDEg1ll3zURsZ64uDh8fX156aWX2LBhg5JZEXkoq4yHkpPQvgi0\nxl43OwEYn/iv57HZ9CmMQY9qwgIFCrBz504uXrxIzZo1+eWXX5wbnDye+oBhakIRSS0bN26katWq\n9O3bl6lTp5I+fXqzQxLxXDqhG+LM5kvOkuMvgKlAbCrHYoT2oXUjCQkJfPDBB4SFhbFixQrKlSsH\naLmliPqAiDyIzWZj8uTJjBkzhsWLF1O9enWzQxIRcbjUqKH9PvHftEAh4CRwd52oDSidokhThxJa\nNxQeHk6PHj2YNm0arVq10mBeLE99QETudePGDd5880327NnDqlWrKFCggNkhiYikitSooX0deA1o\ngD2hrZv4s9ex19SKGNKiRQs2btzIwIEDGTJkiNnhiAexSs2IiHi2X375hZo1a3Lx4kV27typZFZE\nnohVxkOPSmh/AfyBgUA94CxwKslNxDBvb2+io6PZsmWL2aGIiIi4jH379lGpUiXq1KlDeHg4Tz31\nlNkhiYi4pEctOV4C3AQisM/SngLeckJMKaElx27u5s2bZMyY8R8/0zEVq9GSYxEBWLJkCT179iQk\nJIQWLVqYHY6IiFOkVg1tqcSv0wHfAmUNxJiatA+ti9AenG5OfcAw9QERSamEhASGDRvG3LlzWbly\nJd7e3maHJGJdGhMZ4ir70N5+yNciThESEmJ2COKmrFIzIiKe488//8Tf358tW7YQHR2tZFZEDLPK\neOhRCW1p4M8kt1JJvv4j9UMTq5syZQo9evTg1q1bZociIiKSao4fP86rr75Krly52Lx5M7ly5TI7\nJBERt5GcfWjdgZYcuwhHLre8fPkybdq04a+//iI8PJxnn33WARHKI6kPGKYlxyLyJL755hvatGnD\n0KFDefPNN+/7OyAiJtGYyBBXWXIsYqps2bKxatUqXn31VSpVqkRsbKzZIYmIiDiEzWZj8uTJtG3b\nlkWLFtGzZ08lsyIiKaCEVlxa2rRp+eijjxg1ahS1a9dm5cqVZockbsAqNSMi4p5u3LhB165dCQ0N\nJTIykho1apgdkoh4IKuMh9KZHYBL0ZICw1KrCdu0aUPhwoVp1qwZBw4cYPDgwfokOzWoDximJhSR\nRzl37hzNmzcnd+7c7Nq1S/vLirgqndANcWbzeUpGoH1oPUBy6gd//vlnmjVrRr58+QgLCyNr1qzO\nCk8k1amGVsSz7d27l2bNmtGlSxeGDBlCmjRaKCcicpdqaMUSnn/+ebZu3UrmzJmpWrUqp0+fNjsk\nERGRx1q4cCH169dn4sSJDBs2TMmsiIiD6K+puJ1MmTIxe/Zs2rdvj6+vLxEREWaHJC7GKjUjIuL6\n7ty5w6BBgxg8eDDffPMNzZs3NzskEbEIq4yHlNCKW/Ly8qJfv37MmjULf39/Zs6caXZIIiIi/3D5\n8mWaNGlCVFQU0dHRlC5d2uyQREQ8jmpoxWWktH7w6NGjNG7cmPr16zNhwgTSpdO1zsQ9qYZWxHMc\nO3aMJk2aUKtWLSZOnEj69OnNDklExKWphtYRvLz+3gVYUsSMJixSpAi7d+/m6NGjNGjQgAsXLjg3\nAE+iPmCYmlBENmzYQLVq1ejXrx9Tp05VMivijnRCN8SZzaeEVjzCM888w5o1ayhdujQ+Pj4cOnTI\n7JDERFapGRER12Kz2fjkk0/o3Lkzy5Yto2vXrmaHJCIWZpXxkNZmisdIly4dEyZMoFSpUvj5+TFr\n1ixee+01s8MSERELuH79Ot27d+f7779n9+7d5MuXz+yQREQswVPm0R1TQ3t3Xlx1aylmpAkdWT8Y\nGRlJixYt6NOnDwMHDrzvteUh1AcMc5U+ICLOc+bMGfz9/Xn55ZeZNWsWWbJkMTskETFKYyJDUtJ8\nqqEVSeLVV18lKiqKpUuX0q5dO65du2Z2SCIi4oG2bduGj48PrVq1YuHChUpmRUScTAmteKw8efKw\nfft2EhISqF69OvHx8WaHJE5ilZoRETGPzWZjypQptGrVijlz5jBgwACtBhIRl2KV8ZAS2qRsNi0r\nMMjVmjBLliwsWLAAf39/fHx8iIqKMjsk1+ZqB9ANqQlFPN+1a9fo1KkToaGhREZGUqdOHbNDEhFH\n0wndEGc2n6d8lKh9aD1AatcPrl69mi5duvDJJ5/Qvn17h762iCOohlbE9Z0+fRp/f38KFSpEaGgo\nWbNmNTskERGPoBpakcdo3LgxW7duZfjw4QwYMIDbt2+bHZKIiLiRrVu34uPjQ2BgIAsWLFAyKyLi\nApTQiqWUKFGC6Oho9u/fT/369fn111/NDklSgVVqRkTEOWw2G59++ikBAQHMnTuX4OBg1cuKiMuz\nynhICa1YTs6cOVm/fj0VK1akQoUK7Nmzx+yQRETERV27do2OHTsye/ZsIiMjqV27ttkhiYhIEp7y\n8aJqaD2AGfWDy5cvp3v37owdO5Y33ngj1d9P5FFUQyviWn788UeaNWtG0aJFCQ0N1ZY8IiKpSDW0\njuDl9fcuwJIi7taE/v7+bN++nY8//pju3btz48YNs0Myl7sdQBekJhTxDFu2bMHX15d27doxf/58\nJbMiVqMTuiHObD4ltGJ5xYoVIyoqil9//ZXq1atz9uxZs0MSg6xSMyIijmez2Zg4cSKBgYHMnz+f\nfv36qV5WRNySVcZDSmhFgGzZsrFs2TL8/f2pVKkSW7duNTskERFxsr/++ovAwEDmzp3L7t27qVmz\nptkhiYjIY3jKR46OqaG9+wms6tZSzEgTukr94MaNG2nfvj0DBw7k7bffttYn8+oDhnlCHxCxoiNH\njuDv70/lypWZOnUqmTJlMjskETGTxkSGpKT5VEMr4iB16tQhKiqK+fPnExgYyJUrV8wOSUREUlF4\neDjVqlWjX79+hIaGKpkVEXEjSmhFHiB//vxERESQOXNmfH19iYuLMzskeQJWqRkREWNu375N//79\nGTBgAOvXrycoKMjskEREHMYq4yEltEnZbFpWYJAnNWHmzJmZNWsWPXv2pEqVKqxZs8bskFKfJx1A\nk6gJRdzDuXPnqFWrFgcOHGDPnj2UL1/e7JBExJXohG6IM5vPU4oDtQ+tB3Dl+sHdu3fTsmVLOnXq\nxPDhw0mbNq3ZIYkHcuU+IOJJIiIiCAgIoEuXLgwdOlR/00VEXEBKa2iV0IrLcPXB/C+//EJgYCBp\n0qRhwYIF5MqVy+yQxMO4eh8QcXc2m43JkyczevRowsLCaNiwodkhiYhIIl0USiSV5c6dm40bN+Lr\n60u5cuWIiIgwOyR5CKvUjIhI8t3dkmf27NlERkYqmRURj2eV8ZASWpEnkDZtWkaNGsUXX3xB8+bN\nGT9+vGbRRERc3JEjR/Dx8SFLlizs2rWLl156yeyQRETEQbTkWFyGuy23/PHHH2nVqhUvvPACYWFh\nPP3002aHJG7O3fqAiDtYvHgxvXr1YvTo0QQFBVlrb3ERETeiJceO4OX19y7AkiJWasL8+fOzY8cO\n8ubNS/ny5dm3b5/ZIRlnpQOYStSEIq7h+vXrvPnmmwwePJgNGzbQtWtXJbMiknw6oRvizOZTQiti\nQIYMGf53gZF69erxxRdfaFbNBVilZkREHuz48eNUrlyZ8+fPs3fvXsqVK2d2SCIiTmeV8ZASWhEH\naN26NREREUyePJmOHTty5coVs0MSEbGkZcuW4evrS+fOnVm6dCnZs2c3OyQREUlFnjKP7pga2rvz\n4pphSzEjTegJ9YNXrlyhR48e7Nu3j/DwcIoWLWp2SE9GfcAwq/cBEbPcvHmTAQMGsHr1ahYvXkyl\nSpXMDklE3JnGRIakpPlUQyviArJmzcqcOXN46623qFatGgsXLjQ7JBERj3fq1CmqVq3Kjz/+yL59\n+5TMiohYiBJaEQfz8vKia9eufP311wwbNowuXbpoCbKTWaVmRERg9erV+Pj4EBAQwIoVK3jmmWfM\nDklExCVYZTykhDYpm03LCgxSE/6tbNmy7N27l5s3b1KxYkUOHDhgdkiPpwNomJpQxDlu3bpF//79\n6d27NytXrqRfv366irGIOI5O6IY4s/k85S+/9qH1AJ5aP2iz2ZgzZw4DBgzgww8/1NYR8lCe2gdE\nHO3HH38kMDCQHDlyMGfOHHLmzGl2SCIiYpBqaEVclJeXF506dWL79u1MnTqVgIAALl++bHZYIiJu\nKTw8nIoVK9KsWTNWr16tZFZExOKU0Io4SbFixYiKiiJHjhyUK1eOb7/91uyQPJZVakZErOTq1at0\n796dQYMGsXbtWgYMGECaNBrGiIg8jFXGQ2adCXIAG4FjwNfA0w953CkgFvgOiHZKZCKpKHPmzISE\nhDBmzBgaNmzIhAkTSEhIMDssERGX9v3331OxYkX++usv9u3bR8WKFc0OSUREXIRZhXzjgN8S/30H\neAYY9IDHnQTKAxce83qqofUAVqsfPHnyJAEBATz77LPMmTOHZ5991uyQxGRW6wMij2Oz2fjss88Y\nOnQo48ePp0OHDroGgYiIh3K3GtrGwJzEr+cATR/xWOeduby8/t4FWFJETZh8BQsWZMeOHRQvXpyy\nZcuydetWs0PSAXQANaGIY1y4cIHmzZszY8YMIiIi6Nixo5JZEXEendANcWbzmZXQ5gZ+Sfz6l8Tv\nH8QGbAL2AF2dEJeIU2XIkIGPP/6YL774gsDAQN59911u3rxpdlhuzyo1IyKeaseOHZQtW5Z8+fIR\nGRlJkSJFzA5JRMTtWGU8lJoJ7Ubg+wfcGt/zOFvi7UGqAGWBBkBPoFqqRCpisgYNGrB//35iY2Op\nXLkyR48eNTskERGnu3PnDh988AEtW7Zk2rRpTJo0iYwZM5odloiIuDCz5tGPAH7AOeB5YAtQ9DHP\nGQb8BUx4wH22YcOG/e8bPz8//Pz8njyqu/PiqltLMSNNqPpB++8cEhLC0KFD+eijjwgKCnLuEjv1\nAcPUB0RS5uTJk7Rv354MGTIwb948XnjhBbNDEhEr05jIkJQ0373joC1btvyjJG/EiBHwgPzVzItC\n/Q6MxX4xqKe5/6JQWYC0wJ9AVuxXQx6R+O+9HHNRKP3HNUyDecc4dOgQbdq0oWDBgsyYMcN5F4xS\nHzBMfUDkydhsNr788kv69+/PoEGDePvtt7Udj4iYT2MiQxyR0Lr6RaHGAHWwb9tTM/F7gBeAtYlf\nPwfsAPYDUcAaHpzMinic4sWLExUVxSuvvIK3tzcbN240OyS3YpWaERF39/vvv9OqVSs+/vhjNm3a\nRHBwsJJZEREHscp4yKyzxgWgNlAYqAtcSvz5T0CjxK9PAN6Jt5LAR6kelc2mT2EMUhM6TsaMGfn4\n44+ZPXs2nTt3pl+/fly/fj1131QH0DA1oUjybNy4EW9vb/LmzcuePXsoU6aM2SGJiPxNJ3RDnNl8\nnnItau1D6wG03PLhfv/9d7p168YPP/zAggULKFGihNkhSSpQHxAruH79Ou+++y7h4eGEhYVRu3Zt\ns0MSEREX4G5LjkXkCeTMmZPw8HDeeust/Pz8mDBhAnfu3DE7LBGRJxITE0OFChU4e/YsMTExSmZF\nRMQwJbQibsLLy4s33niDqKgoVq1aRY0aNThx4oTZYbkkq9SMiLiLO3fuMH78eGrXrs3AgQNZsmQJ\nOXLkMDssERGPZpXxkBJaETfz0ksvsXXrVpo1a4aPjw+ff/65lqaKiMuKi4ujevXqrFmzhujoaDp0\n6ODc7chERMSjecoZRTW0HkD1g0/u8OHDdOjQgRw5cjBz5kzy5MljdkhigPqAeJKEhASmTJnCyJEj\nGTp0KL169dIVjEVE5KFUQ+sIXl5/b5okKaImdK5ixYqxa9cuqlatSrly5Zg7d66xJEgH0DA1oQic\nOHGCGjVqsGTJEiIjI+nTp4+SWRFxLzqhG+LM5tPZRcTNpU+fniFDhrBhwwbGjRtH8+bNOX/+vNlh\nmcoqNSMirsZmsxESEkKlSpV4/fXX2b59O4UKFTI7LBERS7LKeEgJrYiHKFu2LHv27KFw4cKUKVOG\npUuXasmqiDjN6dOnqVu3LmFhYezYsYP+/fuTNm1as8MSEREP5ynz6I6pob07L64kIMWMNKHqBx0n\nMjKSLl26ULRoUaZNm8bzzz+fvCeqDximPiBWY7PZmDVrFoMGDeLtt99m4MCBpEuXzuywRESM0ZjI\nkJQ0n2poReR/Xn31Vfbt20fx4sUpU6YMYWFhSo5ExOFOnDhB3bp1mT59Ops3b+a9995TMisiIk6l\nhFbEQ2XKlIlRo0bx9ddfM2XKFOrXr8+pU6fMDssprFIzImKWO3fuMHHiRCpVqkSdOnWIioqiVKlS\nZoclIiJJWGU8pIQ2KZtNywoMUhO6Hm9vb6KioqhRowYVKlRg6tSpJCQkPPjBOoCGqQnF0x04cIDK\nlSuzatUqIiMjtcRYRDyTTuiGOLP5VEMrLkP1g6nvyJEjBAUFATBz5kyKFClickSSlPqAuLIbN24w\nevRopk+fzocffkhQUJC24hEREYdRDa2IPFbRokXZvn07rVu3pkqVKnz00UfcvHnT7LBExMVFRkZS\ntmxZ9u/fz/79++nWrZuSWRERcQk6G4lYTJo0aejduzd79uwhIiKCcuXKERERYXZYDmWVmhGR1Hb5\n8mV69+6Nv78/w4cPZ+XKlbz44otmhyUiIslglfGQEloRiypQoABr1qxh+PDhBAQEEBQUxO+//252\nWCLiAmw2G4sXL6Z48eJcv36dAwcO0KpVq/uWg4mIiJjNU85MqqH1AKofNM8ff/zB+++/z5IlSxg3\nbhzt27fXwNUE6gPiCuLi4ujZsyfnzp0jJCSEKlWqmB2SiIhYQEpraD1lxOqYhFYbKBtmpAk1mHcB\niceghp8fISEhFC1a1OSA3I/6gLir69evM3bsWKZMmcK7775Lnz59SJ8+vdlhiYiYQ3mBISlpPl0U\nSkQcplmzZlStWpWhQ4dy7do1s8N5YlapGRFxlI0bN1KqVCliYmL47rvvCA4OVjIrIuLmrDIeUkIr\nIvfp06cPMTExHD58mOLFi7NixQrNFop4oPj4eAIDA+nWrRsTJ05k+fLl5M2b1+ywREREkk1LjpPS\n0gLDtNzSzT3gAH7zzTf06dOHF198kU8//ZRixYqZFJx7UB8Qd3D9+nUmTpzIhAkT6NatG++//z5Z\nsmQxOywREdehvMAQLTkWEZdRq1Yt9u/fT6NGjahevTrBwcH88ccfZoclIilgs9lYvXo1JUuWZPfu\n3URFRTF69GglsyIi4raU0IrIY6VPn5633nqLgwcPcvnyZYoWLcrs2bNJSEgwO7QHskrNiMiTOHz4\nMPXr1+edd95h2rRprFq1ipdfftnssEREJJVYZTykhDYpm03LCgxSE7q5xxzAXLlyERoayqpVq/63\nnce3337rxABdn/qAuJrLly/Tr18/qlevTv369YmNjaVevXpmhyUi4tp0QjfEmc2nGlpxGaofdC8J\nCQnMmTOHwYMHU6tWLT788EPy5ctndlhuTX1AHOnOnTuEhYUxZMgQGjVqxOjRo8mVK5fZYYmIiDyQ\namhFxKnSpElD586dOXr0KAULFqRs2bK89957qq8VMZnNZmPdunV4e3szZ84cvvrqK0JDQ5XMioiI\nR1JCKyKG/Otf/+KDDz4gJiaGn3/+mcKFCxMSEsLt27dNi8kqNSMi9/ruu++oU6cOffv2ZdSoUWzf\nvp0KFSqYHZaIiJjAKuMhJbQi4hB58uQhLCyMdevWER4eTqlSpVizZo2WzYo4wZkzZ+jYsSMNGjTA\n39+fAwcO0KRJk/uWb4mIiHgaTznTqYbWA6h+0HPYbDb++9//MmDAAHLlysXo0aOpXLmy2WG5PPUB\neVKXL19mzJgxfPHFF/To0YOBAweSLVs2s8MSERF5YqqhdQQvr793AZYUURO6OQcdQC8vLxo1akRs\nbCwdOnQgICCA119/ndjYWAcE6drUB8QZrly5wpgxY3jllVc4d+4cMTExjBo1SsmsiIij6IRuiDOb\nTwmtiKSadOnS8cYbb3Ds2DFq165N3bp1adOmDT/88EOqvq9VakbEem7cuMGUKVMoVKgQ+/btY/v2\n7YSFhZEnTx6zQxMRERdjlfGQEloRSXWZMmXirbfeIi4ujuLFi+Pr60v37t2Jj483OzQRt3D79m1m\nzpxJ4cKF2bBhA2vXrmXJkiUUK1bM7NBERERM5Snz6I6pob07L666tRQz0oSqH3QBTuoDv//+O2PH\njiU0NJT27dvzzjvv8MILL6TqezqL+oA40p07d1iyZAnDhg0jT548jBo1SvXoIiLOoLzAkJQ0n2po\nRcRt5MyZk3HjxnHw4EHSpUtHyZIl6dWrF2fOnDE7NBGXcPv2bebOnUvJkiWZPHkyISEhbN68Wcms\niIjIPZTQiohpnn/+eSZMmMCRI0fImjUr3t7e/N///R+nTp0y9LpWqRkRz3Pz5k1CQ0MpUqQIM2fO\nZOrUqezatYtatWqZHZqIiLgZq4yHlNAmZbNpWYFBakI3Z9IBzJUrF2PHjuXo0aPkyJGD8uXLExQU\nxIkTJ5wei1HqA5IS169fZ/r06RQqVIilS5cye/Zstm7dSq1atbSXrIiIGXRCN8SZzecpZ0ntQ+sB\nVD8od124cIFJkyYxffp0ateuzYABAyhfvrzZYaU69QHr+fPPP5kxYwYTJkygXLlyvP/++/j4+Jgd\nloiIiNOphlZEPEaOHDn44IMPOHHiBJUqVaJp06bUrl2bDRs2KMkTjxAfH88777xDwYIFiYqKYs2a\nNXz11VdKZkVERJ6QEloRcVnZsmWjX79+HD9+nI4dO9K/f3+8vb2ZN28et27deujzrFIzIu4nNjaW\njhyw2gQAACAASURBVB07UqpUKW7cuMG3337L4sWLKVu2rNmhiYiIh7HKeEgJrYi4vAwZMtC+fXti\nY2MZM2YMs2bN4uWXX2b8+PFcvHjR7PBEHslms7Fx40bq1atH/fr1KVasGMePH2fSpEkULFjQ7PBE\nRETcmmpoxWWoflCexJ49e5g0aRJr166lVatW9OrVi1KlSpkdliHqA57lzz//ZN68eUybNg0vLy+C\ng4MJDAwkY8aMZocmIiLiclRD6wheXn/vAiwpoiZ0c250ACtUqMC8efM4fPgwL774IvXq1aNGjRos\nW7aM27dvmxaXGzWhpJIjR47Qu3dv8ufPz6ZNm5gyZQqxsbF06tRJyayIiLvQCd0QZzafEloRcWvP\nPfccQ4cO5dSpU3Tv3p1PPvmEnDlzMmrUKOLj41P0mu5SMyKu4/bt26xYsYLatWvj5+dH9uzZiYmJ\nYdmyZdSoUUNb74iIiNNZpYY2ndkBiIg4QoYMGQgICCAgIIDu3btz9uxZSpUqRZUqVejatSsNGzYk\nXTr9yRPHiouLY9asWcyZM4cCBQrQq1cvmjdvrplYERERJ/GUj4wdU0N79xN01a2lmJEmVP2gC/Cw\nPnDlyhWWLFnCjBkzOHXqFJ07d6ZLly689NJLqfae6gOe7+rVqyxbtoyZM2dy6NAh2rdvzxtvvEGJ\nEiXMDk1ERBzFw8ZEzpaS5ktpDa0S2qT0H9cwDebdnAf3gYMHDxIaGsq8efMoXrw47du3p0WLFjz9\n9NMOfR/1Ac9ks9nYvXs3X375JYsXL8bHx4cuXbrQuHFjMmTIYHZ4IiLiaB48JnIGZya0qqEVEY/z\noJqPEiVKMHHiRM6ePcvbb7/NunXryJ8/Py1btmTVqlXcvHnzkc8Xazp8+DDvv/8+L7/8Mp07d+bF\nF18kJiaGdevW0aJFCyWzIiLislRDa0X6BMYwNaGbs8ABzJgxI02bNqVp06ZcvHiR8PBwJkyYQFBQ\nEC1btqRVq1YkJCSk+PUt0IQeLz4+noULFzJ//nzOnz9PYGAg4eHhlC1bVhd3EhGxCp3QDXFm83nK\nmVn70HoALbcUM506dYqFCxcSHh7OmTNnaNasGS1atMDPz4/06dM7JQb1AfOcOHGC5cuXs3z5co4c\nOYK/vz9t27alevXqpE2b1uzwREREPJ5qaDXwc3sazIuruJvchIeH88MPP9C4cWP8/f2pVasWmTNn\nTrX3VR9wHpvNxsGDB/+XxP788880bdoUf39/atSooaXEIiIiTqYaWhGRREZrPr788kv69+/P7t27\n2bdvH6VLl2bcuHHkzp2b1157jZCQEE6fPu2YYMVprl27xvr163nrrbcoXLgwjRo14uLFi0yZMoWf\nfvqJzz//nHr16imZFRERj6AaWhERIV++fPTt25e+ffty8eJFNmzYwNq1axk6dCjPPfccjRo1okGD\nBvj6+mrvURd0/P/Zu/O4qOr9j+MvFhEXFNc0xTXXQMXSxEwxM9Pqutybmi1qVlq3RSVN86a4lHU1\n/dnqVqm5tVipedPUxD23BFfc0ELN0HBfgZnfHzMaCCjIMN9Z3s/H4zyYOXMO5w01cj7z3Q4c4Mcf\nf+R///sfa9asoX79+rRt25avvvqKBg0aaEysiIiIm/OUv+TqcuwB1N1S3ElaWhobN27kf//7H4sX\nLyY+Pp6IiAjuv/9+7r//fho2bIi/f+4+M9R7IO+OHDlCTEwMMTExrFixgvPnz9O2bVvatm1L69at\nHb5Mk4iIiDiGxtBqHVqXoDU43ZzeA7fs5MmTrFq1ig4d2gNQvHgwzZs3p0WLFkRERNCwYUMCAwNv\n+D30Hsgdq9VKYmIia9asuVbEJicn06JFCyIjI4mMjOTOO+/E11eja0REJJd0T5QnzlyHVgVtevof\nN89U0Lo5D3kPREdH52ncR17Ov/orPHbsT1asWMGaNWtYt24de/bsISwsjIiIiGtbSEjIdefqPXAj\nZ8+eZfPmzWzYsIENGzbwyy+/YLFYaNq0KS1btqRly5YqYEVExDE84J7IFe6HnFHQmhpD+xgQDdQG\nGgG/ZnPcQ8D/AX7AVOBdZ4STvIoBIg1nEDEphttui6Rr16507doVgPPnz7Np0ybWr1/PzJkz+fe/\n/42fnx8NGjSgQYMG1K9f33Bm15KUlMS2bduubVu2bCEhIYH69etzzz330LVrV8aPH0/lypU1DtYF\nxcTEEBkZaTqGiFF6H4jE4IyawNRdQG3AAkwCosi6oPUD9gAPAEeATcDjwO4sjlULrYuw/QqjsVqj\nb+FctU4Zp/dAnuX0PWC1Wjl8+DCxsbHExsYSFxfHvHnzMhzz9ttvU7NmTWrVqsUdd9xx0y7L7sZi\nsXD06FH27dvH/v37iY+PZ/v27Wzbto3Lly9Tr169a9vVol8zELuHvLYKiHgCvQ/cnO6J8uRWagJ3\na6GNz8ExjYH9wCH787lAe7IuaEVE3IqPjw8hISGEhITw6KOPXtuXXnJyMjNmzGDPnj0cOnSI8uXL\nU7NmTSpXrkxISAiVKlW69j1CQkJcruBNS0vj2LFjHDlyhMOHD3PkyBESExPZv38/+/bt48CBAxQr\nVowaNWpQo0YNatasSd++falXrx4VKlRQy6uIiIjclCsv21MBSEz3/DBwj6EsIuJGTI4ZcaQxY8Zc\ne5yamsrBgwfZu3cvv//+O4mJiSxbtozExER+//13jhw5QrFixShTpgylSpWidOnSGbYSJUpQpEgR\nChcufO3r1ccBAQH4+Phc23x9fa89TklJ4dKlS1y8eDHT19OnT5OcnJxp++uvvzh69ChJSUmULFmS\nihUrUqFCBSpUqEDFihXp2rUrNWrUoHr16hQrVszgb1hERMRzecr90M3k58ffS4FyWex/A1hof7yC\n7Lsc/xPbGNrn7M+fxFbQvpzFsbGABqCJiIiIiIh4pjigwfU787OFtnUezz8CpJ8CNARbK21WMv1g\nIiIiIiIiIvlpBXBXNq/5AweAKkAAtlbYOs6JJSIiIiIiIpK1jtjGx14EjgE/2vffDixKd1xbbDMd\n7wcGOzOgiIiIiIiIiIiIiIiIiIiIy/oM+BPYbjqIiEEh2IZS7AR2AK+YjSPidIHABmzDhHYBo83G\nETHGD9jK3xOhinibQ8A2bO+DjWajiOTMfUA4KmjFu5Xj70nqimIbMqGx/+JtCtu/+gO/AM0MZhEx\npT8wC1hgOoiIIQeBks64kK8zLiJeYTVw0nQIEcOOYWuZAjgH7MY2N4CIN7lg/xqArZUq2WAWERMq\nAu2AqeTvEpkirs4p//+roBURyR9VsPVa2GA4h4iz+WL7YOdPbF3wd5mNI+J044EBgMV0EBGDrMAy\nYDPwnOEsIjlWBXU5FgFbd+PNQAfTQUQMKo6ty3Gk4RwizvQI8JH9cSQaQyveq7z9axlsH3Lel18X\nUgutiIhjFQDmATOB7w1nETHpNLal+O42HUTEiZoC/8A2fnAOcD8ww2giETP+sH89DnwHNDaYRSTH\nqqAWWvFuPthuXMabDiJiSGkg2P64ELAKaGUujohRLVALrXinwkCQ/XERYC3woLk4IjkzBzgKXAYS\ngZ5m44gY0QzbmKlYbNPUbwUeMppIxLnCgF+xvQe2YRtHKOKtWqBZjsU7VcX2dyAW2zKGg83GERER\nEREREREREREREREREREREREREREREREREREREREREREREREREREREZEMxgC7gTjgW6D4DY71w7by\nQvplpKKBw2S9KkM9YD22GYq3AQH2/T2xLdEZB/wIlLLvvwNYbf8+cUBb+/7KwBb7/p3Aqzn82V62\n/2w7gHdzeI6IiIiIiIi4oEjg8+v2tQZ87Y/fsW/Z6Q/MIuMyUsPs+6/nj60oDbM/L2G/TgDwF1DS\nvv9d+/cAmAb0tj+uAxy0Py5g38C2Hu0hoOINcgK0BJamO6/MTY6/9ksQERER13YW26fdF7Gt9boL\n2AB0NxlKRETynTWLfUsBi/3xBrIvFCsC7YCpgM91r13/HOBBbK2y2+3PT9qvk2p/XNR+XnHgiP2Y\nP/i7hTg43f4U+wZQyP74gv35XUAMsBlYDJSz738BGJ3uvOPZ/FwiIiLiZq4WtNvT7auKrStXDxOB\nRETEKSLJ3EKb3kKgWzavfQ2EAy3I2OV4GLYW0zjgU2yFKNi6Bc/AVmRuAQakO+dh4AxwFFsxerVx\ntBi2LsWJQLL9eldVxFYgXwBetO8rAKzj7y7LXewZwPY3LRr4xX6Nu7P5uURERMTNZFXQgq171q/O\njyMiIvnsF2wF3j5s3X2vjnd9MN0xQ4B52Zz/CPCR/XEkGQvasthaWn2AUfxdUL4GJGDrWlwIW+F5\nP7ai9QC2D1IBPrBfG2ytv/3sj5tgK26vVx7Yi228bShwOt3Psw1bAQ22v3ET7I8b2bOIiIiIB8iu\noA3m7y5cIiLieVqQdQttD2AtEJjNeW9jazU9iK1b8Hlsra/Xq8Lff1u6YBsTe9V/sBW5jYFl6fY3\nBxbZH+8CKqR77QBQOovrfAr8C1tBuy6bzD9i+3mv2s/fLblZ0hhaERER95bVGCgREfEcWf07/xC2\n7sDtgUvZnPcGEIKtVbUr8DPwtP218umO68jfBe1P2CaEKoRtgqgW2FpcE4Da/F2otsZWyALEAw/Y\nH9cBCgInsBW5hez7SwD3YmuN3Yttsqcm9tcKAHXtj7/H1iIMUJO/J6MSERERN5ddC+392CbVEBER\nz9QC+Oy6ffuA3/i72+7H9v2383fL6fXfI/0sxzOwFZdx2IrI29K99gS2JXO2k3H25Kf5e9me+diK\nVIDq2Ma7xtqzXC1uH7Afe3X/0+m+V31gpf21HUAv+/4CwBf262zB1lVaREREPEBWBW0VbH/wNdOx\niIiIiIiIuCR/bN23KmMbL5t+2Z6nb3CeiIiIiIiIiFH1sc12KSIiIiIiIuI2+mCbkOOBmx0oIiIi\nIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIi\nIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIi\nIiIiIiIiIiIiIiJOEgx8A+wGdgH3ACWBpcBe4Cf7MSIiIiIiIiIuZTrwjP2xP1Ac+C8w0L7vdeAd\nA7lEREREREREslUcSMhifzxwm/1xOftzEREREREREZfRANgAfA78CkwBigAn0x3jc91zERERERER\n8WL+pgPY+QMNgZeATcD/AYOuO8Zq3zKpX7++NS4uLl8DioiIiIiIiDFx2BpCM/A1ECQrh+3bJvvz\nb7AVuMewdTUGKA8kZXVyXFwcVqtVm4tsw4YNM55Bm3dvef1/0PT52rS5+6b3gDZteh9oM7+Zvp9x\n9HsAqJ9VLegqBe0xIBGoaX/+ALATWAh0t+/rDnzv/GgiIiIiIiLiilylyzHAy8AsIAA4APQE/ICv\ngF7AIaCzqXAi4j6io6ONni8iIiJimrfcD7lSQRsHNMpi/wPODiJ5ExkZaTqCiFF6D4i303tARO8D\nEWe9B1yly7F4EP0DLqaZ/kRS7wHxdnoPiOh9IOZ5y/2QK7XQioiIiIiIuLWSJUty8qRrrDY6fPhw\no+ffihIlSpCcnJzj433yMYszWe0zX4mIiIiIiBjj4+ODapNbl93vz8fHB7KoX9XlWERERERERNyS\nCloR8Timx4yIiIiIiHOooBURERERERG3pDG0IiIiIiIiDqIxtHmjMbQiIiIiIiKSyZo1a2jatCnB\nwcGUKlWKZs2asXnzZgCmTZvGfffdly/XPXjwIL6+vrz44osO/94qaEXE42gMrYiIiEhGZ86c4ZFH\nHuHVV1/l5MmTHDlyhGHDhlGwYEGHfP/U1NRsX5sxYwahoaF8+eWXXLlyxSHXu0oFrYiIiIiIiIfb\nu3cvPj4+dOnSBR8fHwIDA2ndujVhYWHs3r2bF154gfXr1xMUFETJkiUBWLRoEeHh4RQvXpxKlSpl\nWJf20KFD+Pr68tlnn1G5cmUeeOCBLK9rtVr54osviI6OplSpUixcuNChP5cKWhHxOGqhFREREcmo\nVq1a+Pn50aNHDxYvXszJkyevvVanTh0mTpxIREQEZ8+eJTk5GYCiRYsyc+ZMTp8+zaJFi/jkk0+Y\nP39+hu+7atUq4uPjWbJkSZbXXbNmDX/++Sft2rXjscceY/r06Q79uVTQioiIiIiIeLigoCDWrFmD\nj48Pzz33HGXLlqV9+/YkJSUBZDkRU4sWLbjzzjsBCAsLo2vXrqxcuTLDMdHR0RQqVCjbrsvTp0/n\n0UcfJTAwkMcee4zFixdz/Phxh/1cKmhFxOOohVZERERcVXR0ND4+Ppm27O4/sjr+Vu9Vateuzeef\nf05iYiI7duzg6NGj9O3bN9vjN2zYQMuWLSlbtizBwcFMmjSJv/76K8MxISEh2Z5/8eJFvvnmGx57\n7DEAGjRoQJUqVZg9e/Yt5c+KCloREREREREniY6Oxmq1ZtpuVNDm9NjcqFWrFt27d2fHjh3AtWVx\nMujWrRsdOnTg8OHDnDp1ij59+mCxWDIck9V5V3333XecOXOG3r17U758ecqXL09iYqJDux2roBUR\nj6MWWhEREZGM9uzZw7hx4zhy5AgAiYmJzJkzh4iICABuu+02Dh8+TEpKyrVzzp07R4kSJQgICGDj\nxo3Mnj37hgXs9aZPn06vXr3YsWMHcXFxxMXFsXbtWuLi4q4V0nmlglZERERERMTDBQUFsWHDBu65\n5x6KFi1KREQE9erV47333gOgVatW3HnnnZQrV46yZcsC8PHHHzN06FCKFSvGyJEj6dKlS4bveaPi\n9siRI/z888/07duXsmXLXtsaNmzIQw89xIwZMxzyc+W8vHZt1qwGMYuId4qOjs5TK2tezxcRERHv\n5ePjk+UES5Iz2f3+7MVzpvpVLbQiIiIiIiLiltRCKyIiIiIi4iBqoc0btdCKiIiIiIiIV1BBKyIe\nR7Mci4iIiHgHFbQiIiIiIiLiljSGVkRERERExEE0hjZvNIZWREREREREvIIKWhHxOBpDKyIiIuId\n/E0HEBGR/LFlyxZKly5N5cqVM+yfPXs269at4+LFi/Ts2ZNmzZpleP2DDz6gXr16tGjRIsP+L774\ngq1bt1KwYEG6dOlCgwYNMry+b98+SpQoQenSpfPnBxIREXFRKSkpnDhxgtOnT5uO4nXUQisiHsfT\nWmiTkpL466+/Mu0fO3YsDRo0oGLFisycOTPT62vWrOHAgQOZ9pcoUYJatWoRERFB+fLlM73euHHj\nTEUwQNmyZalQoQJBQUH4+fllen3mzJls3rw50/5BgwbRqlUrunXrxqZNmzK9npaWlmmfiIiIaVar\nlVOnTrFt2zYWLVqU5bhOi8VC6dKlKVy4MA0aNKB9+/YGkubcmjVraNq0KcHBwZQqVYpmzZpd+9s9\nbdo07rvvPodeLyYmBl9fX4KCgggKCqJixYoOv8/SpFAiIoYlJycTHx/PwYMHqVu3LuHh4RleHz58\nODVq1KBbt24Z9sfHx3PhwgVKly5N2bJlCQwMdGbsHDtw4AAJCQn8+eef3HvvvVStWjXD6+3bt6dP\nnz60bds2w/7Y2FiKFi1KlSpV8PdXhyIREXGOTp06sWfPHhITE7FarVSqVIlKlSoxb948ChcunOn4\n5ORkgoOD8fW1tRW66qRQZ86coVKlSkyaNInOnTtz+fJlVq9eTbly5QgLC2PatGl8+umnrF69+pa+\nf2pqaqa/1zExMTz11FMkJiYCcOjQIe677z4+/PDDbIv/3E4KpYJWRDxOdHR0nj79y+v52fnzzz+5\ncOFCpoLuvffe46uvvqJq1ar07NmTNm3aOPzarsxisWC1WjO1+r788sssWLCAP//8k9WrV9OoUaMM\nr1+5coWAgABnRhURETd1/Phxtm3bxo4dO9i7dy979+5l+vTp3H777ZmOXbFiBaVLlyYkJITixYtf\nLaRyzFUL2s2bN9O6dWtOnjyZ6bXdu3fTsGFDUlJSKFSoEAUKFCA5OZlFixbxn//8h4SEBIoXL06v\nXr0YNmwYYCtOq1WrxtSpUxk+fDhVq1YlJiYmw/e9vqAF6NKlC+Hh4QwaNCjLnJrlWETEsLNnz2b4\nh/uqpUuXMn/+/Ez7o6Ki2LBhA3PnzvW6YhbA19c3yy7MH3zwAb/99hvJycmZxusC3H333ezbty/T\nfle8iRAREXNatWpFzZo1GT58OHv27KFWrVpERUURHByc5fEtW7YkLCyM4ODgXBezrqxWrVr4+fnR\no0cPFi9enKGwrVOnDhMnTiQiIoKzZ8+SnJwMQNGiRZk5cyanT59m0aJFfPLJJ5nuZVatWkV8fDxL\nliy5aYZ9+/axdu1amjRp4rCfy1P+C6mFVkSMW7VqFb169eLo0aO88MILjB071nQkj5aWloaPj8+1\nLl5gK2YrV65M5cqVady4MW+99ZbLdsUWEZG8SU1NZefOnWzatIlNmzbxzDPPcM8992Q67tSpU7fU\n0nqrXLWFFmzDld59912WLVvGsWPHaNeuHVOmTKFs2bI56nLct29ffH19GTdu3LUW2oSEBKpUqZLl\n8TExMbRq1YpixYphsVg4e/YsnTp1Ys6cORQoUCDLc9RCKyKSzw4fPsx7772XaX9oaCjz58/n9OnT\nKmadwM/PL0MxC7Y/drGxsURHR1O+fHkKFiyY4fWUlBR++uknZ8YUEREHmzFjBvfeey/BwcF07dqV\nVatWERoammX3YcDlWlqjo6Px8fHBx8cnyyFO2Q19utl5OVG7dm0+//xzEhMT2bFjB0ePHqVv377Z\nHr9hwwZatmxJ2bJlCQ4OZtKkSZkmqgwJCbnhNW+//XZOnjzJ6dOnOXXqFIGBgXTv3v2W8mfFdf7L\n5o1aaEXkGkeNob1y5Qq7du3K1N315MmTfP/99/Ts2TOPScXZjh07xuDBg/n8889NRxERkRuwWq2c\nO3eOoKCgTK9t2rSJc+fOcdddd1GsWDED6W7MlVtor/fhhx8yefJktm3bxvTp05k6dWqGFtrq1avz\nyiuv8MILLxAQEEC/fv04ceIEX3zxxbUW2tTU1EwfMF+V1RjaRYsW0bVrV86ePZvlOe7eQusHbAUW\n2p+XBJYCe4GfgKw7uouIOJDFYqFNmzaUKlWK3r17k5qamuH1EiVKqJh1U+XKlcuymF22bBm1a9fm\n+eefZ9GiRQaSiYh4N6vVSnx8PB9++CEdO3akbNmyDBkyJMtjGzVqRMuWLV2ymHVle/bsYdy4cRw5\ncgSAxMRE5syZQ0REBAC33XYbhw8fJiUl5do5586do0SJEgQEBLBx40Zmz56dp9buc+fOMXfuXEJD\nQ/P2w6Tjai20/YG7gCDgH8B/gRP2r68DJYCspsNSC62I3JKdO3dStWrVTNPwr1ixgvDw8GwnjBDP\nkpaWxo4dO1i1ahVFihThmWeeMR1JRMRrxMbG8sgjj+Dr60vr1q25//77ad68+U27sroqV22hPXr0\nKP369WPt2rWcOnWK4OBgHn30UcaMGUPRokVJSUmhY8eOrF+/Hj8/P5KSkpg3bx5RUVEkJyfTokUL\nqlatyqlTp5gxYwaHDh2ievXqpKSkZNtCu3LlSu6///5r91kFCxYkIiKCCRMmUK1atSzPcedleyoC\n04C3sBW2jwLxQAvgT6AcEAPUzuJcFbQickt69uxJ//79CQsLMx1FXNjw4cOpUKECzz77rOkoIiJu\nKy0tLctZ7S9cuMCRI0e44447XGqs661y1YLWXbhzl+PxwADAkm7fbdiKWexfb3N2KBFxP+nHz1qt\nVmJjYxkxYkSWkwF9/vnnmYrZ/FiDVtxbVFQUnTp1yrR/586dnD9/3kAiERH38Mcff/Dpp5/SqVMn\nypcvz4ULFzIdU7hwYWrUqOERxaw4n7/pAHaPAEnYxs9GZnOM1b5lKf0NaGRkJJGR2X0bEfEm48aN\nY+LEibRv3z7b2Q9FbqZo0aJZ7h87dizz5s2jWbNmTJkyhQoVKjg5mYiIa3rvvfeYPXs2CQkJtGnT\nho4dOzJp0qRMQ3xEshMTE0NMTMxNj3OVj0HeBp4CUoFAoBjwLdAIW4F7DCgPrEBdjkUkC+fOnWP3\n7t00atQow/6UlBT8/f31qa/km1OnTrFkyRI6dOiQaZkgERFvNWfOHG6//XaaNm2a7XqjnkpdjvPG\nncfQXtUCeA3bGNr/An8B72KbDCoYTQolIlnYu3cvY8aMYcqUKaajiAC22SO7d+/Ozz//bDqKiIjD\npaamsnLlSgIDA7n33ntNx3EpKmjzxp3H0KZ39Sd4B2iNbdme++3PRcSLnTlzhrlz55KWlpZhf82a\nNa8Vs3kdA6sxtOIIFSpUYPLkyZn2p6am6kZHRNxSamoqS5cupVevXpQrV47Bgwfzxx9/mI4lXs4V\nC9qV2JbsAUgGHgBqAg8Cp0yFEhHzevfuTUhICDNnziQ5Odl0HJEb8vX15Y477si0f9KkSYSGhvL2\n229nWGheRMSV7dmzh5CQEIYMGUJoaCi//vorGzdu5F//+pfpaOLlXLHL8a1Ql2MRL7BhwwZq1aql\ntWHFrVmtVtatW8esWbOIjIykc+fOpiOJiNxUamoqCQkJ1KxZ03QUl6cux3njCWNob4UKWhEPMn/+\nfP744w/69OljOoqI061Zs4a7776bwMBA01FExMscP36cmTNn8uSTT1KmTBnTcdxWyZIlOXnypOkY\nbqtEiRJZ9sRztzG0IuLFwsLCaNGixS2frzG04q6sVivjx4/n4sWLpqOIiJdISUlhwYIFdOzYkRo1\nahAbG6t/g/IoOTkZq9VqfBs2bJjR8291y+2wMldZh1ZEvIzFYmHZsmUsWbKEsWPHZlhWp1q1agaT\niZjj4+PDvHnzMu2/cOECFy5coHTp0gZSiYinmjdvHi+99BLVqlXjmWeeYfr06RQrVsx0LJFcgDzM\nkQAAIABJREFUUZdjEXE6i8VCWFgYhQoV4tlnn+W5557Dz8/PdCwRlxUTE0OHDh148MEHeeWVV2jW\nrJnpSCLiARISEkhJSaFWrVqmo4jclMbQiohLSUxMJCQkxHQMEbdx6tQp5s6dS3BwMF27djUdR0Tc\nSEJCgno/idvTGFoRMWLu3LnMnTs30/78LGY1hlY8UXBwMH369MmymN2/f79m1BSRDC5evMiMGTOI\niIggMjKSc+fOmY4kTuYt90MqaEUkX4WFhREeHm46hojHslqt9OrVi8OHD5uOIiIuYN++fURFRVGp\nUiXmzJnDoEGDSEhIoGjRoqajieQLdTkWEYc4e/Ysy5cvp0OHDqajiAi2Qjf9ZGsi4h3eeecdTp06\nxfPPP69uxuJR1OVYRPKF1Wrl1VdfpXLlysyaNYuUlBTTkUQE+OGHH4iMjOT7778nLS3NdBwRcZJB\ngwbxzjvvqJgVr6GCVkTyxMfHh8aNG7Nt2za+/vprChQoYDqS14wZEbmRhx56iD59+jB69Gjeffdd\n03FExIESEhIYO3asxs7LDXnL/ZAKWhHJsStXrmQ5Tu+JJ56gYsWKBhKJSHYKFChA165d2bBhAwMG\nDDAdR0TyyGq1XlvCq3HjxiQlJalXlAgaQysiufDll1+ydetW3nnnHdNRRCQPUlNTeeGFF/jggw8I\nDAw0HUdEbmL+/PkMGzaMy5cv8+qrr/LUU09RpEgR07FEnErr0IpInmmSGRHPcOXKFRYsWMC//vUv\n01FEJAe+++47AgMDadOmDb6+6mAp3kmTQolIjm3ZsoWuXbvyxx9/ZNjvLsWst4wZEblVAQEBWRaz\nSUlJXL582UAiEbmRjh070rZtWxWzkivecj+kd4WIZNC/f386dOhAkyZNKFasmOk4IuJEU6dOpVq1\naowZM4YzZ86YjiPiVQ4cOMAbb7xBamqq6SgibsU9mltuTl2ORRzk999/p1y5cgQEBJiOIiIGxMbG\n8t///pfXX3+d+vXrm44j4vG2bt3K6NGj+fnnn+nTpw+DBw/W+FiRLGgMrYhkkJKSwi+//MJ9991n\nOoqIiIjX2bp1K2+++SZbt24lKiqK5557jqCgINOxRFyWxtCKSAbnz59n/PjxpKWlmY7icN4yZkTE\nmVavXs3w4cNNxxDxGEePHqVdu3YcOHCA/v37q5gVh/OW+yF/0wFExIzg4GC+/fZb0zFExE3UrVuX\nQoUKmY4h4jEefvhh0xFEPIK6HIt4uEuXLjFlyhRKlizJE088YTqOiHiY5ORkSpYsaTqGiEuyWq0s\nXryY5s2ba1ysSB6py7GIF4qNjaV69eosXbqUunXrmo4jIh4mNTWVRo0a0aVLF7Zv3246jojLsFqt\nLFiwgEaNGjFw4EASExNNRxLxWCpoRTxYzZo1WbhwIQsWLCA8PNx0HKfxljEjIqb5+/sTFxfH3Xff\nTVRUFOotJd7uaots48aNefPNNxkyZAhxcXHUrl3bdDTxQt5yP6SCVsRDXLp0iYsXL2bYV7hwYRo2\nbGgokYh4g6JFizJgwAB++umnq93BRLzWpk2b6NevHwMHDmTr1q107NgRX1/dbovkJ0/5y6MxtOL1\n/v3vf9O8eXO6dOliOoqICABz5syhVatWlC1b1nQUEadJS0vDz8/PdAwRj5PdGFrNciziIcaPH09A\nQIDpGCIi1+zdu5cHHnjAdAyRfGGxWLJsfVUxK+Jc6gMh4masViurVq3KNFZNxezfvGXMiIirGzZs\nGGXKlDEdQ8Shtm3bRseOHRkxYoTpKCI35C33QypoRdzIzz//TEREBC+99BInT540HUdEJNfmzJnD\n8OHDOXv2rOkoIrly8OBBnnzySR588EGaN2/O66+/bjqSiKAxtCJuZdSoUVSvXp0uXbpokgkRcUsH\nDx7kzTffZPny5cyfP5/GjRubjiRyQxaLhaioKGbMmMHLL79MVFQUQUFBpmOJeJ3sxtCqoBURERGn\n27p1K3fccYcKA3ELn3/+Oe3ateO2224zHUXEa2VX0KqJ5zrJycmmI4hw8eJF3n77bSwWi+kobslb\nxoyIuLPw8PBMxaz+zRNX1bNnTxWz4na85X5IBW0658+fJywsjJdeeonjx4+bjiNeLDAwkIIFC3L5\n8mXTUUREnGbKlCkMHz7cdAzxUhaLhU2bNpmOISK5pC7H1zlx4gQjR45k1qxZREVF0bdvXwoVKuSQ\n7y0iIiLZS0lJ4dSpU5oZWZxu+fLlvP766/j5+bF69WqtHCDigly9y3EIsALYCewAXrHvLwksBfYC\nPwHB+R2kdOnSTJgwgfXr17NlyxZq1arF6tWr8/uy4qWsVivfffedpv4XEQEKFCiQZTF77tw5A2nE\nG+zcuZN27drRu3dvBg4cyPr161XMirgZVyloU4B+wJ1AE+DfQB1gELaCtiaw3P7cKWrUqME333zD\n3LlzqVKlirMuK17k7NmzNGvWjGHDhmmWTwfzljEjIt5g3759VKtWjfHjx3PlyhXTccSDzJ49m5Yt\nW/Lggw+ya9cuOnfurBUExKN4y/2Qv+kAdsfsG8A5YDdQAfgH0MK+fzoQgxOLWoCmTZs683LiRYKC\ngnjzzTdp3bo1fn5+puOIiLikGjVqsGLFCgYMGMCRI0cYO3as6UjiIdq0aUN8fDwlS5Y0HUVE8sAV\nx9BWAVYCocDvQAn7fh8gOd3z9Jy+bE9CQgKBgYHcfvvtTr2uiIiIt7py5Yq6g4qIeClXH0N7VVFg\nHvAqcPa616z2zSWsWrWKsLAwRo0axcWLF03HERcXGxtLnz59TMcQEXFr1xezVquVY8eOZXO0iM3a\ntWuJi4szHUNE8okrFbQFsBWzXwDf2/f9CZSzPy4PJGV3cnR09LUtJiYmP3MC0KNHDzZv3kxsbCx1\n6tThyy+/xNmtxOI+ateuzfPPP286htfwljEjIt4uPj6ebt26mY4hLurAgQM89thjPP744/rgQ7yS\nu98PxcTEZKjxsuMqY2h9gE+BXcD/pdu/AOgOvGv/+n3mU21M/MKrVq3KN998w8qVK+nbty8zZszg\nhx9+uNocLnJNYGAgDRs2NB1DRMSj1KlTh2XLlpmOIS7m9OnTjBw5kmnTptGvXz+mT59O4cKFTccS\nkVyKjIwkMjLy2vPs1il3lcqrGbAK2Mbf3YoHAxuBr4BKwCGgM3Aqi/OdPob2emlpaezcuZN69eoZ\nzSFmJScnM2LECCpWrMhrr71mOo6IiFf67bffqFy5sukYYoDFYiEsLIyIiAhGjRpFuXLlbn6SiLiF\n7MbQukpBm1fGC1qRnTt30rJlS/75z38yfPhwypYtazqSiIjXuXTpEnfeeSeNGzfmv//9LyEhIaYj\niZOdOnWK4OBg0zFExMHcZVIoj2O1Wlm2bJnG13qBWrVqsXLlSj755BMVs4a5+5gREbl1gYGBbNu2\njRo1avDKK6+YjiMGqJgVsfGW+yEVtPns+PHjREVFERkZydatW03HkXzk7+9PnTp1TMcQEfF6RYoU\nYcSIEXz77bemo0g+uXTpEpMmTcJisZiOIiKG5bbLsR+Qlh9B8siluxynpaUxdepUhg4dyj//+U9G\njhxJqVKlTMeSPPjhhx/YsGEDI0eONB1FRERy4ejRo1pD3o1ZrVa+++47XnvtNcLDw/nss88oXry4\n6Vgi4gSOGkObgG1pnc+xzUjsKly6oL0qOTmZoUOH8vXXX7N06VJNIOXGTpw4wfnz5zXpiIiIG0lO\nTqZVq1Zs3LiRAgUKmI4jubR9+3b69u1LUlISEyZM4P777zcdSUScyFFjaBsA+4CpwAagN1Asr+G8\nRcmSJfnwww9ZtmyZuqa6udKlS6uYdWHeMmZERHKnZMmSbNmyRcWsG1q3bh2tWrWiU6dObN26VcWs\nSA54y/1QbgvaM8BkoCnwOjAUOAZMB+5wbDTPFRYWpj+mbuL06dP079+fOXPmmI4iIiIO4Oub+dbn\n+PHjBpJIbtxzzz3Ex8fz73//G39/f9NxRMSF5LbLsT/wMNATqALMAGZjW0f2baCmI8Plglt0Ob6Z\nXbt2UaNGDRW7LmLjxo20b9+eRx99lLfeeosyZcqYjiQiIg5msVgIDw+nXr16jBkzRuuWioi4KEd1\nOd4LtAf+i6378ThsLbTfAEvyFlHeffddGjRowM8//2w6igB16tThhx9+YPLkySpmRUQ8lK+vL2vX\nrqVChQp07NhRy+wZ9tdff7Fy5UrTMUTEjeS2oH0aeAZYl25fM/vXlx2SyItNmzaNt956i169etG5\nc2cSExNNR/JqQUFB3HXXXaZjyC3wljEjIuIYRYsW5Z133mHlypVXWwDEySwWC1OmTKFu3bosXbrU\ndBwRj+At90O5LWjfz2LfB44IIrZm9A4dOrBr1y7q1q1LeHg4n3/+uelYXuHHH3/ks88+Mx1DREQM\nCggIyLTv8uXLBpJ4l02bNtGkSROmTZvGkiVLGDVqlOlIIuJGcvoxZAS2iaD6YetmfPW8IKAjUN/x\n0XLFI8bQXu/gwYOcPn2aBg0amI7i8fbu3cv58+cJDw83HUVERFzE2bNnady4MVu3biUwMNB0HI80\nbtw4xowZw+jRo3n66aeznLRLRATyvg5tC6AltmV6JqbbfxZYiG0pH5M8sqAVERERs06fPk3x4sVN\nx/BYBw4coFSpUgQHB5uOIiIuLq+TQq0EooEmwPB02zjMF7Ne58KFC6SmppqO4ZasViszZ85k3bp1\nNz9Y3Ja3jBkRkfyXVTGrD9Edp3r16ipmRfKJt9wP5bSgnWD/+iG2Ftn024J8yCU38Omnn3LXXXex\ndu1a01HcyoEDB2jZsiXjxo1T1zEREbklFouFpk2b8v777+vD5VxITk4mOTnZdAwR8UA57XJ8F7AF\niMziNSu2FlyTvKrLsdVq5auvvqJ///489NBDvPvuu5QuXdp0LJeXmJjIggUL6NOnD35+fqbjiIiI\nm9q9ezcvvfQSFouFn3/+WTMj34DFYmH69OkMHjyYcePG0a1bN9ORRMRN5XUM7VVFgYtAmv25HxAI\nnM9LOAfwqoL2qjNnzjBs2DBmz57NW2+9xbPPPms6koiIiFewWq0kJCRQvXp101Fc1s6dO3nhhRe4\ndOkSEydOpGHDhqYjiYgby+sY2quWA4XSPS8MaLEwQ4oVK8b48eNZsmQJJ06cMB3Hpezfv19dsr2Y\nt4wZERFzfHx8VMxmw2q1MmTIECIjI+natSvr169XMStigLfcD+W2oC0InEv3/Cy2olYMatCgAYMG\nDTIdw6X8/vvv7N2713QMERHxIqdPn+bxxx8nJSXFdBSjfHx8qFmzJtu3b+fFF1/UMB8RyVe57XK8\nFngF23hagLuBD7CtU2uSV3Y5FhEREdeRmppKTEwMDzzwgOkoIiIex1FdjvsCXwFr7NuXwMt5DSf5\nY/v27bRp04Y9e/aYjpKvkpKSOHz4sOkYIiLi5fz9/b2umFWDgoiYltuCdhNQB+hj32oDmx0dShyj\nTp06PPTQQ9x7771ER0dz6dIl05EcymKxMHXqVEJDQ1m6VEO55W/eMmZERFyf1WolOjqaI0eOmI7i\ncL/88gsNGzYkLi7OdBQRyYK33A/ltqANAF4Ahtu3PkABR4cSx/D396dfv37Exsaybds26tevz4oV\nK0zHcphdu3bx2WefsXTpUnr27Gk6joiISCapqalYLBbq16/PRx99ZDqOQ5w8eZI+ffrQqVMnBg4c\nSL169UxHEhEvltsxtJ8C/sB0+7lPAamA6fViNIY2BxYuXMibb77JqlWrKFasmOk4DmG1WrX+n4iI\nuLz4+HjWrVvHM888YzrKLbNarcyaNYsBAwbQqVMn3nrrLYKDg03HEhEv4ah1aLcB138Ml9U+Z1NB\nm0PuXABeuHCBwoU1qbaIiIgJp0+fpnPnzowcOZLGjRubjiMiXsZRk0KlAneke17dvk/chLsWs8uW\nLaNHjx6mY4ib8JYxIyLi3lJTU5k/f77bTKxUvHhxlixZomJWxE14y/1QbgvaAcDPwEr79jPwmqND\niXNZLBY++eQTLl68aDpKtu6//36mTZtmOoaIiIjDHDt2jOXLl5uOISLi1m6luS4QqAVYgT3AZYcm\nujXqcpwHZ8+e5dlnn2XLli18/PHHPPjgg6YjuXXXaBEREXf2xx9/8P777zNy5Ej8/f1NxxERAfLe\n5fifQCf713bYuh3XAB627xc3FhQUxJdffsn7779P79696datG8eOHTOS5cKFCwwePJhBgwYZub6I\niIhp+/btM3Jdi8XCxIkTr81anJaWZiSHiEhu5LSgfdS+PZLu6yPp9osHaNeuHTt27CAkJISwsDB2\n7Njh1OsnJSURGhrKb7/9Rr9+/Zx6bfEs3jJmREQ8z8mTJ2nZsiXPP/88J0+edNp1d+zYQbNmzfji\niy9YsWIFo0ePpmDBgk67vog4nrfcD+W0H0mP/AwhrqNIkSK8++679OjRg5o1azr12mXKlOHLL7+k\nUaNGTr2uiIiIqyhRogQ7d+7kjTfeYNCgQUyaNCnfr7llyxbatm3LyJEjee655/D1ze0UKyIi5uR2\nkGI54C2gAvAQUBeIwLY+rUkaQysiIiIexWKxOKW4tFqtnDhxgjJlyuT7tUREbpWjlu2ZBvwE3G5/\nvg9Q31Av4qixtYmJiYwaNcoh30tERMQTZVXMpqY6frVEHx8fFbMi4rZyW9CWBr4Ers4SkILWofUa\nVquVDh060LlzZ44ePZqn71WqVCkqVarkNmvviXvxljEjIuJdVq9eTdeuXW/5fIvFwq5duxyYSERc\nmbfcD+W2oD0HlEr3vAlw2nFxsvUQEI+tRfh1J1xPsuDj48OKFSuoWbMm9evX56OPPrrlGRALFy7M\n008/raV5REREcqhZs2ZMnDjxls7duXMnzZs3p1+/fvowWUQ8Sm6ribuAD4A7gZ1AGeBfQJyDc6Xn\nh2292weAI8Am4HFgd7pjNIbWyXbt2kXv3r25fPkyn376KWFhYdkee/ToUX799VceeeQRJyYUERGR\nixcvMmrUKCZPnsyIESN4/vnn8fPzMx1LRCTX8jqG9n/Ak9gKy+bAvUBvbIVtfhazAI2B/cAhbF2c\n5wLt8/machN169Zl5cqV9O7dm4sXL2Z5TFpaGh999BH169cnLi6//zcRERHxPvv376dDhw4cPHgw\n02vr168nLCyMffv2ERcXxwsvvKBiVkQ8Tk4L2snY1p09CMwGamArbq/kU670KgCJ6Z4ftu8Tw3x9\nfenVqxeNGzfO8nWLxUJsbCwrV65kyJAhTk4n3sxbxoyIiFSqVIkmTZrQqFEjZs2aleG1oKAgJkyY\nwFdffcXtt9+ezXcQEU/lLfdDOV2H9nv7VgR4FOgOTMTWcjsH28zH+UV9id1UgQIFmDJliukYIiIi\nHisgIIBBgwbRuXNnLl++nOG10NBQQkNDDSUTEXGOvMzIUx+YDoRhG+eaX5oA0dgmhgIYDFiAd9Md\nYx02bNi1J5GRkURGRuZjJMnKvn37qFGjBgCvv/46FStW5MUXX1T3JhERkXxmtVo10aKIeJSYmBhi\nYmKuPR8+fDhkUb/m9l++ckBnoCtQHtsSPnPI33G0/ti6N7cCjgIb0aRQLufkyZM88sgjrFixgoCA\nAHbv3k2fPn24cOECkydPJjw83HREERERj3Pp0iXefvttjh8/zieffJLhtdjYWH777Tfat9fUIyLi\n/vI6KdTzwM/Ar9jGz74GVAMGkf+TQqUCLwFLgF3YiujdNzxDnK5EiRKsWbOGgIAAAOrUqUNMTAwv\nvvgiDz30EP379+fcuXOGU4q38JYxIyLi3ZYvX069evXYtWsX//nPfzK9npqaaiCViLgKb7kfymlB\nGwGMBkKAl4F1OHds649ALeAOew4x7MKFC5n2Xd/VycfHh549e7Jjxw7++uuvq90EREREJA+OHz9O\n9+7deeaZZ3jvvff45ptvqFAh83yZd999t1pnRcTjecpgC3U5dpJz584xdOhQVq5cyebNm3M1Xict\nLU3jaUVERPLozTff5OLFi0RHR1O0aNFcnZucnMyBAwdo1KhRPqUTEckf2XU5VkErOWa1Wrnnnnuo\nW7cuY8aMoUyZMqYjiYiIeJ28TAC1fv16OnXqxGOPPcaoUaMoVqyYg9OJiOSPvI6hFcHHx4fFixcz\nbdo0hxWzcXFxbNmyxSHfS+QqbxkzIiLeKS+zGUdERLBz504uXrzIypUrHZhKRFyNt9wP5bSgLXmT\nTbxEyZKO/c+dmJjIww8/TN++fTl79qxDv7eIiIg7i4mJYf369Q7/viVLlmTKlCk8+uijDv/eIiLO\nltOP+A5x40mgquY9Sp6oy7GDpaSk8I9//INZs2Y5vIi93okTJxg4cCBLly7lgw8+oEOHDvl6PRER\nEVd24sQJBgwYwPLly/n0009p3bq1U657+vRpihQpgr+/v1OuJyKSGxpDK7m2ZcsWGjZs6LSF2mNi\nYujTpw9Nmzbls88+c8o1RUREXIXVamXGjBkMHDiQxx9/nJEjRxIUFOS0648YMYISJUrw8ssvO+2a\nIiI55ciCtgS2tWgD0+1bdWuxHEYFrYe4fPkyu3btIjw83HQUcWPR0dF5GveR1/NFRG7FE088QXx8\nPJMmTeLuu+92+vWtVitpaWlqoRXxEJ52P+SoSaGew1a8/gQMB5YA0XnMJoYdOnSIqKgo0tLSTEeh\nYMGCKmZFRMQrDR06lA0bNhgpZsF2s3h9MWuxWFCjgYi4sty20O4AGgHrgQZAbWA00NHBuXJLLbS3\n6P3332fEiBH079+fAQMGUKBAAdORspSWlsb58+e1vICIiIgTffLJJyxcuJAPP/yQatWqmY4jIl7M\nUS20l4CL9seBQDxQK0/JxKjbbruNDRs28MYbb7hsMQu28bV169Zl3rx5+qRYRETcWlJSEikpKaZj\n5EivXr1o3rw5jRs3ZuPGjabjiIhkktuCNhHbGNrvgaXAAmwzIIub6tKlC9WrVzcd46ZatWrFnDlz\nePPNN/nHP/7Bb7/9ZjqSuDBvWXdNRNyLxWJh0qRJhIaGsmbNGtNxciQgIIBBgwZdmyhSRNyHt9wP\n5bag7QicxDZu9k1gKqA1VtyA1Wrl+++/5/Lly6aj3LL77ruP2NhYmjRpwl133cXYsWNJTU01HUtE\nROSm4uLiuPfee5kxYwbLly+nZcuWpiPlSuXKlTVZlIi4pJyOoS0GnAGyW5A02TFxbpnG0ObAgAED\nePHFF6la1fSywXm3f/9+Pv74Y8aOHYuvb24/lxEREXGOK1euMHjwYGbOnMnbb79Nz549Pebv1ttv\nv01ERITbFeci4p7yumzPIuBhbN2Ls6ocTVdIKmhFRETE5VitVsaOHUuPHj0oU6aM6TgOFRsbS/ny\n5bnttttMRxERL5DXSaEetn+tgq14vX4TFxMXF2c6gogx3jJmRERcn4+PDwMGDPC4YhagQYMGKmZF\nXJi33A/ltKBteJNNXMQff/xBt27daN++PSdOnDAdx+mSkpLo2rUrCQkJpqOIiIiXUW8x+OGHH1iw\nYIHpGCLiRXLa5TgGW1fjQsBdwDb7/nrAZiDC4clyR12O7fr27UvhwoUZMmQIRYoUMR3H6a5cucK4\nceMYM2YMffv2ZcCAAQQGBpqOJSIiHm7VqlW89tprLFy40KtbLVetWsVzzz1H3bp1mThxolf/LkTE\nsfI6hvaqb4FhwHb781BgOPDPvIRzABW0dlar9ep/bK/222+/0bdvX3bs2MGHH35ImzZtTEcSEREP\ndPz4cQYOHMiyZcuYMGECHTt29Pq/w5cvX2bChAn07t2b4sWLm44jIh4ir2Nor6rN38UswA6gzq3H\nkrw4depUpu5N3v5H9KrKlSvz3XffMWHCBF5++WV1QfYy3jJmRETMsVgsTJ06lTvvvJOSJUuya9cu\nOnXqpL/DQMGCBRk4cKCKWRHDvOV+KLcF7TZsa89GAi2BKYBmHzKkW7dubN682XQMl9auXTt2795N\ntWrVTEcREREPcvDgQWbMmMFPP/3Ee++9R1BQkOlILm/FihUkJSWZjiEiHia3HyMWAl4A7rM/XwV8\nAlxyZKhb4JVdjq9cuUJAQIDpGCIiIiI3NWLECDp27EhYWJjpKCLihhw1htZVeXxBm5qair+/v+kY\nHmXy5Mk8+uijlC9f3nQUERERERG5AUeNoa0JfAPsAg7aNw1OzEdWq5Wvv/6aGjVqcPjwYdNxPIbV\nauXgwYPUq1eP999/n9TUVNORxIG8ZcyIiOS/2NhYhg8fbjqGx4qPj1c3ZJF84i33Q7ktaD8HJgKp\n2MbQTgdmOTqU/O0///kPI0aMYMaMGVSsWNF0HI/h4+PD6NGjWbVqFd9//z2NGjVi/fr1pmOJiIiL\nOHXqFC+//DJt2rShQoUKWmM2n/z000+EhobyySefkJaWZjqOiLih3HY5/hVoiG2m47Dr9pnksV2O\nk5KSKFGiBAUKFDAdxWNZrVbmzJnDgAEDGDNmDN26dTMdSUREDLFYLHzxxRcMGjSI9u3b89Zbb1Gq\nVCnTsTza9u3bGTBgAJMnT6ZSpUqm44iIi3LUGNp12CaE+gZYDhwFRgO18pgvrzyioNUasmadOXMG\ngGLFihlOIiIipnz00UdMnz6djz/+mLvvvtt0HBERsXPUGNq+QGHgFeBu4Emge17Dic0TTzzBpk2b\nTMfwWsWKFVMx6yG8ZcyIiDjes88+yy+//KJi1gX89ttv6oYskgfecj+U24J2I3AWSAR6AP8EKjs4\nk9caMWIEDRua7r0t19uxYwdHjhwxHUNERJygYMGC+Prm9vZI8sOwYcNYs2aN6Rgi4uJy2r+1KNAb\nqA7swDYxVHvgLWA/8I98SZdzHtHlWFzTpEmTGDJkCK+99hr9+vWjYMGCpiOJiEgebdq0iStXrnDv\nvfeajiLZ0FAsEUkvr12OZ2CbBCoOaAX8AvQDumG+mHU7GzZsoFWrVhw/ftx0FMmB3r2RQTkNAAAe\nE0lEQVR7s2HDBtatW0doaCiLFi0yHUlERG7RsWPH6NmzJ+3bt9ffYReXVTF74sQJLl++bCCNiLiq\nnBa0d2DrYjwJ6AxUAdoAsfmSyoONGDGCTp060aNHD0qXLm06juRQ9erVWbBgAe+//z79+/enZ8+e\npiPJDXjLmBERybkrV64wZswYQkNDKVOmDPHx8XTo0MF0LMmlqVOnEhoayg8//KCllERuwlvuh/xz\neFzadY+PABcdH8fz/etf/6Jv376afMhNtW3bllatWrF3717TUUREJBcefvhhAgMDWbduHTVr1jQd\nR27RoEGDaNCgAf3796d69erUqVPHdCQRMSynAxPSgAvpnhfi74LWCpiuzjSGVkRERLJ1/PhxypQp\nYzqGOIjFYtHkXSJeJq9jaP2AoHSbf7rHpotZl2S1Wnn88cdJSEgwHUWcJCUlha1bt5qOISIiWVAx\n61myKmZPnDihZX5EvJArfLQ1BtiNbcKpb4Hi6V4bDOwD4oEHnR/t1vn4+NC/f39CQkJMRxEn2bdv\nHw8//DBPP/00hw8fNh3Hq3nLmBERychisTBr1iwuXbpkOooYMGrUKL7++mvTMURchrfcD7lCQfsT\ncCdQH9iLrYgFqAt0sX99CPgY18ibY40aNaJAgQKmY4iT1K1blz179lCxYkXq16/P8OHDOX/+vOlY\nIiJeYdWqVTRu3JiPPvpIsxd7qfHjx9O5c2fTMUTEyVxtca+OwD+BJ7EVthbgXftri4FobEsGXc/o\nGNrFixfzf//3f8yfP19rlAoAhw4dYtCgQaxdu5Y1a9ZQuXJl05FERDzS/v37GThwIFu2bGH06NE8\n/vjjWrtUrjlz5gyAJuMU8QB5HUPrLM8A/7M/vh1I32/zMFDB6Yluonv37rzyyiu89NJLBAQEmI4j\nLqJKlSrMnTuXBQsWUKlSJdNxREQ80u7du2nSpAmNGjUiPj6ebt26qZiVDBYtWkStWrWYPHkyqamp\npuOISD7I6bI9ebUUKJfF/jeAhfbHQ4ArwOwbfJ9sm2HT9/GOjIwkMjIytxlvSVRUFLVr11YxK1kK\nDw83HcErRUdH52ncR17PFxHnqF27Nnv27KFUqVKmo4iLevzxx6lZsyZRUVHcfvvtPPLII6YjiTiN\nu98PxcTEEBMTc9PjnFXQtr7J6z2AdkCrdPuOAOlnVKpo35clZ/yyrVZrpk9+69Wrl+/XFc+zcuVK\nwsPD1QVKRCQPfHx8VMzKTd11112sWLHCdAwRyaXrGymHDx+e5XGu0C/nIeA9oAVwIt3+uthaaxtj\n62q8DLiDrFtp830M7fnz52nZsiUxMTEULlw4X68lnu/VV1/lq6++YujQoTz77LOaPExE5AZ+/fVX\ndu7cyVNPPWU6iniQpKQkLBYL5cpl1YlQRFyNK4+h/QAoiq1b8lZssxkD7AK+sn/9EXiRG3Q5zm9F\nihRh9uzZKmbFISZMmMCiRYuYN28eoaGhfPvtt5ic2ExExBUdPnyY7t278/DDD2t9UXG4FStWMHny\nZNMxRCSPXKGgrQFUBsLt24vpXnsbW6tsbWCJM0OlpKRk2nfHHXc4M4J4uIYNG7J06VLef/99RowY\nQVRUlOlIHsNb1l0T8VSnTp1i8ODB1K9fn4oVK7Jnzx569OhhOpZ4mC5dujB06FDTMUTyjbfcDzlr\nDK3bOHr0KEOHDuXPP/9k4cKFNz9BJA98fHxo06YNrVu35uTJk6bjiIi4hFdffZUCBQoQFxdHxYoV\nTccRL5KSksLy5ctp06aNZswWcROe8k51yBja8+fPU7NmTZ588kkGDx5McHCwA6KJiIhIbqSlpeHn\n52c6hnihgwcP8uj/t3fnQVLVd7/H38AANossF1QQi0EBgQhjICLCE2Qn8ozKjcDEWILogwsGjaJX\nkSiQqMESs1lRUyBulytqMKCiA7hgQAgUBgeVQUCWgI8PggzgIMza94/TyAzTE1GYOT3d71fVVJ/+\nndPdn7Zs+nz7t5xLL6VZs2Y8/PDD9OrVK+xIkmIqm0NrQXuMr776isaNG5+U55JO1I4dO5g5cyZ3\n3HGHKyJLklQNSkpKeO655ygpKeG6664LO46kmEReFCqhWMwqkdSpU4dt27bRsWNH/vSnP1FQUBB2\npBohVeaMSDXZypUrGThwIFu2bAk7ilROnTp1uOaaayxmVeOlyvmQBa2UwFq3bs2zzz7LokWLWLJk\nCR06dGDWrFkUFxeHHU2SvpcNGzbw05/+lKysLK6++mratm0bdiTpuBw8eJBp06Z5VQIpwTjkWKpB\nVq5cyX333cfjjz/uqtuSapTPPvuMyZMns3DhQu666y5uvvlmIpFI2LGk47Z3717mzZvHuHHjwo4i\npSTn0EqSpNBs376dp556ittuu40mTZqEHUeSVMM4h1ZKcocOHQo7QsJIlTkjUk3Stm1bpk6dajGr\npHPVVVfx6KOPus6FEk6qnA9Z0EpJ4o477mDQoEGsXLky7CiSUtiePXvYtm1b2DGkanPHHXewePFi\nunTpwuHDh8OOI6UchxxLSaKoqIinn36a+++/n3PPPZcpU6bQp0+fsGNJShH79u3jkUce4bHHHuOB\nBx7gxhtvDDuSVK22bdtGenp62DGkpOWQYynJ1a1bl3HjxrFp0yZGjhzJVVddxfDhw12NUVKVysvL\nY9q0aXTo0IHPPvuMNWvWWMwqJcUrZnfu3OmVCaQqZkErJZl69eoxbtw4Nm7cyD333HPk16yUkipz\nRqSwFRcX06NHD7Zt28aKFSuYPXs27dq1CzuWlDAefPBBsrOzw46hFJUq50NpYQeQVDXq1atHz549\nw44hKYmlpaWRk5ND48aNw44iJaTHHnvMkVJSFUuWrhvn0ErHKRqNMnHiRC699FL69euXkj24kr67\n0tJSatd2YJd0ov71r38xf/58xo0b57WYpe/AObSSvpGRkcENN9xA7969WbBgAaWlpWFHkpSgdu7c\nyS233EJmZmbYUaSkUFRUxNtvv83ZZ5/NSy+9FHYcqcazoJVSTK1atRgzZgy5ublMnDiRX//613Tr\n1o2//e1vYUc7aVJlzohUlXJzcxk7dizdunWjXr16zJ49O+xIUlI455xzmD9/PtnZ2bRv3z7sOEpi\nqXI+5BxaKUXVqVOHESNGcMUVV/Dmm2+Sl5cXdiRJCWL8+PHMmzePCRMmsHnzZpo3bx52JCnpZGRk\nxG3fu3evnznpO0iWyXPOoZUk6STJycmhQ4cONGjQIOwoUkrJy8ujd+/efPjhh6Sl2e8klVXZHFoL\nWkmVKi0t5cEHH+Tqq6+mbdu2YceRJCnpFRcXW8xKcbgolKTv7PDhw+zbt4/u3buTlZXFqlWrwo50\nXFJlzoj0fe3bt48ZM2YwcOBAF4WTEky8Ynbu3LnMmzePkpKSEBKppkqV8yELWkmVatCgATNmzGDr\n1q1cdNFF/OxnP6NPnz689dZbYUeT9D1s2rSJCRMmcPbZZ/PBBx/w0EMPeSkeqQZo2rQpjzzyCO3b\nt+fjjz8OO46UUBxyLOm4FRcXM3/+fBo0aMCwYcPCjiPpO7jzzjt55plnuP766xk/fjytW7cOO5Kk\n72j16tV069aNU045JewoUrVzDq0kSSls06ZNtGnThkgkEnYUSSfRnj17yMnJYeDAgWFHkaqUc2gl\nVanDhw8zatQoFi5cGPocn1SZMyLFc/DgwbjtHTp0sJiVktDOnTtZuXJl2DGUgFLlfMiCVtJJUbt2\nbYYNG8aUKVPo0KEDDz/8MF9++WXYsaSUUFpaSnZ2Npdffjndu3d3oScphZx//vn86le/qtBe2Y9b\nUrJxyLGkkyoajbJ69Wr+/Oc/8+qrrzJ16lRuvfXWsGNJSWnPnj089dRTPPHEEzRp0oTx48dz5ZVX\n0rBhw7CjSQrZJZdcwtdff82NN97IFVdcQb169cKOJJ0Q59BKqna7d+8mLy+Pjh07hh1FSkpZWVlE\nIhFuuukmevbseeTLXpIoKipiwYIFPPnkk8yZM4fmzZuHHUk6Ic6hlVTtWrZsWWkxu2nTJqrqh6hU\nmTMizZ07l6effpoLL7zQYlZSOXXr1mXEiBG88cYbFYrZgoICCgoKQkqm6pIq50MWtJKqXWlpKaNG\njaJLly488sgj7N69O+xIUkIqLi7mtdde49FHH4273yJW0vfx1ltvce2114YdQzopkuWb0CHHUg0T\njUZ57733mDlzJgsWLGDQoEFcd911XHLJJWFHk0K3adMmZs+ezTPPPEPbtm256aabGD16dNixJCWR\noqIi6tatW64tGo36Q5kSlnNoJSWsffv28eKLL7Jnzx7uueeesONIoYlGowwdOpScnByuvvpqxo4d\nyw9+8IOwY0lKESNGjKBWrVqMGTOGIUOGuJCUEopzaCUlrKZNm3L99ddXWswWFhZ+p+dLlTkjSj61\natXit7/9LTt27GDGjBkWs5Kq1axZsxg0aBDTp0/n888/DzuOTlCqnA9Z0EpKeGPGjKFv3748/vjj\n7Nq1K+w40gkpKSlhyZIlrF69Ou7+Hj162CsiKRRNmzblhhtuYPny5bRt27bcvqKiInJyckJKJlUu\nkYYcTwQeBloAe2Ntk4BrgRLgFmBxJY91yLGUxAoLC8nOzuaFF15g4cKFdO/enVGjRjFmzBgikUjY\n8aRvVVxczLJly5g3bx7z5s2jTZs2TJkyhczMzLCjSdJx2bhxI1OmTOH5558PO4pSVKLPoT0LmAmc\nC/QgKGi7AP8PuAA4E3gT6AiUxnm8Ba2UIg4dOsSiRYtYsGABf/nLX+zJUsJbu3YtQ4cO5ayzzmLE\niBFcccUVXptZUtLIzc2lsLCQbt26uaCUqlSiz6H9HfB/jmm7HHgeKAK2AZuBntUbS1KiiUQiDB8+\nnKeeeipuMXvgwAF++ctfntBr1JQ5I6oZOnXqxKpVq3j//feZNGmSxaykpLJu3TqGDx9Ohw4deP31\n18OOozKcQ1t9Lgd2AuuOaW8daz9iJ0FPrSRVat26dcycOZOMjAzuvfde1qxZQ2lpvIEd0snxxRdf\n8PTTTzNy5EgOHDhQYX8kEqFdu3YhJJOkqpeVlcWWLVt46aWX4i5k53ewqlp1jQtYApwRp30ycA8w\nBDgAbAV+BHwJPAr8A5gTO3YW8DrwcpznccixpG+UlJSwcuVKXnnlFRYsWEB+fj4zZszgyiuvDDua\nksRHH33EggULeO2118jNzWXw4MFkZmYycuRIGjRoEHY8SUoY3bt35+WXXyY9PT3sKKrhEnUO7XnA\nW8DXsfttgM+AC4GxsbbpsdtsYAqwKs7zRKdMmfLNnX79+tGvX78qiCupJvrkk09IS0vjnHPOCTuK\nksTdd9/N4cOHyczMpG/fvs7llqRK7N27l2bNmpWbX1taWsry5cu58MILqV+/fojplMiWLl3K0qVL\nv7k/bdo0SMCC9lhbqbgoVE+OLgrVHojXFWsPraRvTJ069bjnfWRlZRGJRBg6dCgDBgzg9NNP/06P\nV3IqKChgxYoVRCIRevXqFXYcSUoqX3zxBZmZmWzYsIHLL7+c5557LuxISelEz2cS7Xwo0ReFOqJs\nVboeeDF2+wYwnvjFrCR9bw8++CA9e/Zk7ty5dOrUiS5durBw4UK++uqrsKOpGhUWFrJixQqmT5/O\nsGHDaNmyJXfffTdbtmwJO5okJZ3TTjuN1atXs337dn7xi19U2L97927//dVxS7Qe2u/LHlpJJ6yk\npIScnByWLVvGhAkTqF27/G9+R/6d8bIEyeedd95h4sSJ9O3blx//+Mf079+f5s2bhx1LklLSokWL\nWL58Ob/5zW/CjqIEkqhzaE8WC1pJVW7r1q306dOHXr16cdFFF9GrVy969OjhIkAJrrS0lM2bN3/T\nGzB58uSwI0mSvocZM2awaNEievfuzahRo+KuqqzkVVOGHEvSCauq666lp6ezYsUKRo4cyc6dO5k4\ncSItW7ZkzJgxJ/R6OvmKi4u59957GTp0KC1atGDIkCG88sor/vggSTXYtddey6233kpRURG7du2q\nsP/TTz8lPz8/hGSJKYzr0Obn57Nt27YTet3vKq1aX02SarBatWqRnp5Oenr6N5cAOnToUNwvVYB/\n/vOfLF26lB/+8Iecd955tGzZsjrjJr3Dhw+zfv16unbtSt26dcvtS0tLo2HDhkyYMIELLriA008/\nPaSUkqSTpXnz5mRmZpKZmRl3/x//+EeGDx/OgAEDyrXv2rWLFi1aUKdOneqImRJKSkrIy8ujRYsW\n5dqXL1/O4sWL+d3vfldtWRxyLElVZO3atTz55JOsXbuW9evXU6dOHTp37sy4ceMYPXp02PFqnJdf\nfpk1a9awceNGcnNz2bJlC+3bt+f111/nrLPOCjueJClBDRs2jHfffZfOnTvzwgsveBm/E7BhwwZ+\n/vOf88knnzBgwABeffXVantt59BKUoii0Si7du0iNzeXZs2acf7551c45sUXX+S9996jXbt25f4a\nN24cQuLqU1hYyI4dO9i+fTvbt29n8ODBtGnTpsJxDzzwACUlJZx77rl06tSJTp06ef1CSdJx+eqr\nr/j444/JyMggEomU29enTx/++te/0qpVq3LtX3zxBS1atKiwSGQyiUajHDhwgCZNmpRr37FjB2PG\njOHtt98u137w4EHWr19P586dadSoUXVGdQ6tpNQRxpyRb1OrVi3OOOMM+vfvH7eYBWjfvj3p6el8\n+umnzJw5kyuvvJLTTz+dxx9/PO7x69atY9myZWzYsIFdu3ZRWFh40nN/X9FolIMHD7Jlyxb2798f\n95jbb7+dM888k8aNGzNo0CCmTZvGO++8U+nxkydP5r777iMrK4uMjAyLWUnScWvcuDG9evWqUMwC\nzJkzh9NOO61Ce+/evYlEIrRr146DBw9W2L9kyRJKSkqqJO/JMHXqVIqLi/n73/9eYd++ffs4++yz\niUQicc9LWrVqRdeuXSu0N2zYkAsuuKDai9l/xzm0kpQgunfvTvfu3cu1RaNRiouL4x6/dOlS5s6d\ny549e8jLyyMvL4/69esza9asb+b4ljVnzhxycnJo0KABkUiESCRC/fr16d+/Px07dqxw/PLly9m4\ncSMFBQUUFhZSUFBAQUEBl112GRkZGRWOnzRpEi+99BL79+9n//791K5d+5uCfNiwYRWOv/nmm7nt\nttto3bq185okSaFJT0+P275582YKCgrYuXNnhUUFo9Eov//97xk4cGC59tLSUrp160ajRo049dRT\nyc7OLtfDG41GmT59OpMmTarwfHPmzKGkpIRoNMo111xTbn9JSQl/+MMfmDhxYrn2oqIihg8fTn5+\nPvn5+axZs6bc5QVLS0u5//77Wbx4cbnHnXrqqSxevJhWrVrRsGHDCu89LS2NZs2axf3vkmgccixJ\nSSIajZKfn09aWlrcX6Czs7PJycnh66+/5tChQxw6dIiCggLGjh3LRRddVOH4J554glWrVlG/fn3q\n1atH/fr1qV+/PiNHjoxb0G7fvp3CwkJOPfVUmjRpwimnnFIl71OSpEQVjUZZv349Bw4cID8/n8GD\nB5fbX1JSwn333ccDDzxQoX306NHUqVOHtLQ0Zs+eXeF577rrLh566KFyBWs0GmXhwoU0atSI5s2b\n07Vr13L7k4lzaCVJkiRJNZJzaCWljEScQytJklSdUuV8yIJWkiRJklQjOeRYkiRJkpTQHHIsSZIk\nSUoqFrSSkk6qzBmRJEmqTKqcD1nQSpIkSZJqJOfQSpIkSZISmnNoJUmSJElJxYJWUtJJlTkjkiRJ\nlUmV8yELWkmSJElSjeQcWkmSJElSQnMOrSRJkiQpqVjQSko6qTJnRJIkqTKpcj5kQStJkiRJqpGc\nQytJkiRJSmjOoZUkSZIkJRULWklJJ1XmjEiSJFUmVc6HLGglSZIkSTWSc2glSZIkSQnNObSSJEmS\npKRiQSsp6aTKnBFJkqTKpMr5kAWtJEmSJKlGcg6tJEmSJCmhOYdWkiRJkpRUEqWgnQDkAh8BD5Vp\nnwRsAjYAQ0LIJakGSpU5I5IkSZVJlfOhRCho+wOXAd2A84AZsfYuQFbs9ifAYyRGXn2LpUuXhh1B\nCpWfAaU6PwOSnwOpuj4DiVAg3gT8FiiK3d8du70ceD7Wvg3YDPSs7nD67vwHXGEL+xdJPwNKdX4G\nJD8HCl+qnA8lQkHbAegL/ANYCvwo1t4a2FnmuJ3AmdWaTJIkSZKUsKqroF0CfBjn7zIgDWgG9ALu\nBF78N8/jUsaSvlXYv0hKkiSFLVXOhxLhsj1vANOBd2P3NxMUt/8Vuz89dpsNTAFWxXmOD4CMKswo\nSZIkSQpPDnB+2CHiuQGYFtvuCPwrtt2FoFCtB7QDPiUxCnBJkiRJkgCoCzxHMAT5faBfmX33EPTY\nbgCGVnsySZIkSZIkSZIkSZIS0WxgF0FPu5SqzgLeAT4GPgJuCTeOVO1OIVjr4gNgPcFl+aRUVAdY\nC7wadhApJNuAdQSfg9XhRpGOz4+BH2JBq9R2BkcXK2gEfAJ0Di+OFIoGsds0gkvy/UeIWaSw3A7M\nAV4JO4gUkq1A8+p4oUS4Dq2SwzIgL+wQUsj+h6BnCiAfyCW4praUSr6O3dYj6KXaG2IWKQxtgGHA\nLFzQVKmtWv7/t6CVpKqRTjBqId6lxqRkVpvgh51dBEPw14cbR6p2vwfuBErDDiKFKAq8CawBxoWc\nRTpu6TjkWIJguPEaYHjYQaQQNSEYctwv5BxSdcoE/hzb7odzaJW6WsVuWxL8yPnjqnohe2gl6eSq\nC8wD/i8wP+QsUpj2AwuBH4UdRKpGvYHLCOYPPg8MAJ4NNZEUjs9jt7uBvwE9Q8wiHbd07KFVaqtF\ncOLy+7CDSCFpATSNbUeAvwMDw4sjhepi7KFVamoANI5tNwTeA4aEF0c6Ps8D/w0UADuAseHGkULx\nHwRzpj4gWKZ+LfCTUBNJ1asr8E+Cz8A6gnmEUqq6GFc5VmpqR/A98AHBZQwnhRtHkiRJkiRJkiRJ\nkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiSV8zCQC+QALwNN/s2xdQiuvFD2MlJTgZ3EvypDN2AlwQrF\n64B6sfaxBJfozAHeAP5XrL09sCz2PDnAJbH2tsD7sfaPgVuP871NiL23j4CHjvMxkiRJkqQE1A94\n6pi2wUDt2Pb02F9lbgfmUP4yUlNi7cdKIyhKu8buN4u9Tj3gS6B5rP2h2HMAPA3cENvuDGyNbdeN\n/UFwPdptQJt/kxOgP7CkzONafsvx3/xHkCRJie0rgl+7DxFc63U9sAoYE2YoSVKVi8ZpWwKUxrZX\nUXmh2AYYBswCah2z79j7AEMIemU/jN3Pi71OcWy7UexxTYDPYsd8ztEe4qZl2otifwCR2PbXsfs9\ngKXAGiAbOCPWfhPw2zKP213J+5IkSTXMkYL2wzJt7QiGcl0TRiBJUrXoR8Ue2rJeBX5eyb6XgB8C\nF1N+yPEUgh7THOBJgkIUgmHBzxIUme8Dd5Z5zH8CB4D/JihGj3SOnkowpHgHsDf2eke0ISiQvwbG\nx9rqAis4OmQ5K5YBgu+0qcA/Yq/xo0relyRJqmHiFbQQDM/6Z/XHkSRVsX8QFHibCIb7HpnvOqTM\nMZOBeZU8PhP4c2y7H+UL2tMIelprAfdztKC8A9hCMLQ4QlB4DiAoWj8l+CEV4NHYa0PQ+3tbbLsX\nQXF7rFbARoL5tucB+8u8n3UEBTQE33F/jG1fEMsiSZKSQGUFbVOODuGSJCWfi4nfQ3sN8B5wSiWP\ne5Cg13QrwbDggwS9r8dK5+h3SxbBnNgjfkVQ5PYE3izT3hdYGNteD5xZZt+nQIs4r/MkMIKgoF1R\nSeY3CN7vEZs52pMbl3NoJUmq2eLNgZIkJY94/87/hGA48OXA4Uoedw9wFkGv6s+At4HRsX2tyhz3\nvzla0C4mWBAqQrBA1MUEPa5bgE4cLVQHExSyABuAQbHtzkB9YA9BkRuJtTcD+hD0xm4kWOypV2xf\nXaBLbHs+QY8wQEeOLkYlSZJquMp6aAcQLKohSUpOFwOzj2nbBGzn6LDdx2LtrTnac3rsc5Rd5fhZ\nguIyh6CIPL3MvqsILpnzIeVXTx7N0cv2LCAoUgHOIZjv+kEsy5HidlDs2CPto8s8VwbwbmzfR8B1\nsfa6wHOx13mfYKi0JElKAvEK2nSCL3xXOpYkSZIkJaQ0guFbbQnmy5a9bM/of/M4SZIkSZJClUGw\n2qUkSZIkSTXGjQQLcgz6tgMlSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIk\nSUnr/wPirS6XIaYX1gAAAABJRU5ErkJggg==\n", | |
| "text": [ | |
| "<matplotlib.figure.Figure at 0x105f05290>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 31 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "\n", | |
| "\n", | |
| "20-30 km/s good enough for DIS in high resolution\n", | |
| "\n", | |
| "# What was the phase during our DIS observation?\n", | |
| "\n", | |
| "Using the DATE-OBS header value from the FITS header on our data file `obj.0008r.ms.fits`, we get: " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "timeofDISobservation = Time('2014-07-01T08:13:32.693', format='isot', scale='utc').jd\n", | |
| "phaseofDISobservation = np.sin((timeofDISobservation - villa_t0)/period*2*pi)\n", | |
| "print \"Phase of DIS observation:\", abs(phaseofDISobservation), \"(near quadrature)\"" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "stream": "stdout", | |
| "text": [ | |
| "Phase of DIS observation: 0.71979015137 (near quadrature)\n" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 32 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Upcoming available half nights on APO 3.5 m\n", | |
| "\n", | |
| "Make a plot showing how we'll sample our phase curve with DIS given these dates\n", | |
| "\n", | |
| "* 8/13 B\n", | |
| "\n", | |
| "* 8/14 B\n", | |
| "\n", | |
| "* 8/17 B\n", | |
| "\n", | |
| "* 8/26 A\n", | |
| "\n", | |
| "* 9/4 A\n", | |
| "\n", | |
| "* 9/5 A+B\n", | |
| "\n", | |
| "* 9/6 A\n", | |
| "\n", | |
| "* Q4 app: Oct 1 - Dec 31\n", | |
| "\n", | |
| "### Available nights on ARCSAT\n", | |
| "\n", | |
| "* Already available: 8/25-9/7\n", | |
| "\n", | |
| "* 9/15 - 10/5\n", | |
| "\n", | |
| "* Q4 app: 10/6 - 12/31" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 32 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "fig, ax = plt.subplots(1, figsize=(14, 8))\n", | |
| "\n", | |
| "times = np.linspace(villa_t0, villa_t0+period, 100)\n", | |
| "#times = np.linspace(startobs, endobs, 1000)\n", | |
| "phase = np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v1 = delta_v*np.sin((times - villa_t0)/period*2*pi)\n", | |
| "v2 = -1*v1\n", | |
| "\n", | |
| "phased_obs = villa_t0 + ((np.array(proposedDISobs) - villa_t0) % period)\n", | |
| "\n", | |
| "ax.plot(times, v1, color='k', ls='--', lw=2, label='Star A')\n", | |
| "ax.plot(times, v2, color='k', ls='-.', lw=2, label='Star B')\n", | |
| "ax.legend()\n", | |
| "for i in range(len(phased_obs)): \n", | |
| " ax.axvline(phased_obs[i], ls=':', color='k')\n", | |
| "ax.set_xlabel('Orbital Phase')\n", | |
| "ax.set_ylabel('Radial Velocity')\n", | |
| "ax.set_xticks(np.linspace(villa_t0, villa_t0+period, 6))\n", | |
| "def formatter(number):\n", | |
| " return \"%.2f\" % number\n", | |
| "ax.set_xticklabels(map(formatter, (np.linspace(villa_t0, villa_t0+period, 6)-villa_t0)/period))\n", | |
| "ax.set_xlim([villa_t0, villa_t0+period])\n", | |
| "plt.show()\n" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "png": 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16dKFPn36mI4h4hTBwcHs3buX5557znQUcTK15EmaxMbG0rJlSxYvXkyGDBmI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| |
| "text": [ | |
| "<matplotlib.figure.Figure at 0x107c4dc90>" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 33 | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Figure Caption: \n", | |
| "Estimated radial velocity curves (dashed and dot-dashed curves) given our preliminary analysis of our DIS specta and assuming circular orbits for the pair of stars with the times of our proposed observations overplotted (vertical dotted lines). Given the constraints on telescope availability and the similarity in phasing between the binary's period ($\\approx 4.97$ days) and integer multiples of the length of one day, these selections of times for collecting spectra allow for the most complete phase coverage possible in only two quarters of observations. " | |
| ] | |
| } | |
| ], | |
| "metadata": {} | |
| } | |
| ] | |
| } |
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