File "markscheme-SL-paper1.html"
Path: /IB QUESTIONBANKS/4 Fourth Edition - PAPER/HTML/Physics/Topic 4 HTML/markscheme-SL-paper1html
File size: 1.88 MB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html>
<html>
<meta http-equiv="content-type" content="text/html;charset=utf-8">
<head>
<meta charset="utf-8">
<title>IB Questionbank</title>
<link rel="stylesheet" media="all" href="css/application-212ef6a30de2a281f3295db168f85ac1c6eb97815f52f785535f1adfaee1ef4f.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-13d27c3a5846e837c0ce48b604dc257852658574909702fa21f9891f7bb643ed.js"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML-full"></script>
<!--[if lt IE 9]>
<script src='https://cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv.min.js'></script>
<![endif]-->
<meta name="csrf-param" content="authenticity_token">
<meta name="csrf-token" content="iHF+M3VlRFlNEehLVICYgYgqiF8jIFlzjGNjIwqOK9cFH3ZNdavBJrv/YQpz8vcspoICfQcFHW8kSsHnJsBwfg==">
<link href="favicon.ico" rel="shortcut icon">
</head>
<body class="teacher questions-show">
<div class="navbar navbar-fixed-top">
<div class="navbar-inner">
<div class="container">
<div class="brand">
<div class="inner"><a href="http://ibo.org/">ibo.org</a></div>
</div>
<ul class="nav">
<li>
<a href="../../index.html">Home</a>
</li>
<li class="active dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Questionbanks
<b class="caret"></b>
</a><ul class="dropdown-menu">
<li>
<a href="../../geography.html" target="_blank">DP Geography</a>
</li>
<li>
<a href="../../physics.html" target="_blank">DP Physics</a>
</li>
<li>
<a href="../../chemistry.html" target="_blank">DP Chemistry</a>
</li>
<li>
<a href="../../biology.html" target="_blank">DP Biology</a>
</li>
<li>
<a href="../../furtherMath.html" target="_blank">DP Further Mathematics HL</a>
</li>
<li>
<a href="../../mathHL.html" target="_blank">DP Mathematics HL</a>
</li>
<li>
<a href="../../mathSL.html" target="_blank">DP Mathematics SL</a>
</li>
<li>
<a href="../../mathStudies.html" target="_blank">DP Mathematical Studies</a>
</li>
</ul></li>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li>
<a href="https://06082010.xyz">IB Documents (2) Team</a>
</li></ul>
</div>
</div>
</div>
<div class="page-content container">
<div class="row">
<div class="span24">
</div>
</div>
<div class="page-header">
<div class="row">
<div class="span16">
<p class="back-to-list">
</p>
</div>
<div class="span8" style="margin: 0 0 -19px 0;">
<img style="width: 100%;" class="qb_logo" src="images/ib-qb-46-logo-683ef0176708d789b2acbf6ece48c55de4cd5ddac781fb455afe3540d22d050e.jpg" alt="Ib qb 46 logo">
</div>
</div>
</div><h2>SL Paper 1</h2><div class="question">
<p class="p1">Two waves meet at a point in space. Which of the following properties always add together?</p>
<p class="p1">A. Displacement</p>
<p class="p1">B. Amplitude</p>
<p class="p1">C. Speed</p>
<p class="p1">D. Frequency</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">This question highlighted a common confusion between <em>displacement </em>and <em>amplitude</em>.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">Which graph correctly shows how the acceleration, \(a\)<em> </em>of a particle undergoing SHM varies with its displacement, \(x\)<em> </em>from its equilibrium position?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-07_om_18.13.13.png" alt="M09/4/PHYSI/SPM/ENG/TZ1/12"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A transverse travelling wave has an amplitude \({x_0}\) and wavelength \(\lambda \). What is the minimum distance between a crest and a trough measured in the direction of energy propagation?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(2{x_0}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({x_0}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\lambda \)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{\lambda }{2}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A point source emits sound waves of amplitude <em>A.</em> The sound intensity at a distance <em>d</em> from the source is <em>I.</em> What is the sound intensity at a distance 0.5<em>d</em> from the source when the source emits waves of amplitude 2<em>A</em>?</p>
<p>A. 16<em>I</em></p>
<p>B. 4<em>I</em></p>
<p>C. <em>I</em></p>
<p>D. \(\frac{1}{4}I\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">In which of the following regions of the electromagnetic spectrum is radiation of wavelength 600 nm located?</p>
<p class="p1">A. microwaves</p>
<p class="p1">B. radio waves</p>
<p class="p1">C. visible light</p>
<p class="p1">D. X-rays</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1"><span class="s1">Candidates are expected to </span>recall the orders of magnitude of the wavelengths of the principal radiations in the electromagnetic spectrum<span class="s1">, as stipulated by the Guide</span>.</p>
</div>
<br><hr><br><div class="question">
<p>A student stands a distance <em>L </em>from a wall and claps her hands. Immediately on hearing the reflection from the wall she claps her hands again. She continues to do this, so that successive claps and the sound of reflected claps coincide. The frequency at which she claps her hands is <em>f</em>. What is the speed of sound in air?</p>
<p>A. \(\frac{L}{{2f}}\)</p>
<p>B. \(\frac{L}{f}\)</p>
<p>C. <em>L</em><em>f </em></p>
<p>D. 2<em>L</em><em>f</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle is displaced from rest and released at time <em>t </em>= 0. It performs simple harmonic motion (SHM). Which graph shows the variation with time of the kinetic energy <em>E</em><sub>k</sub> of the particle?</p>
<p><img src="images/Schermafbeelding_2018-08-10_om_16.43.41.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/17"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the phase difference, in rad, between the centre of a compression and the centre of a rarefaction for a longitudinal travelling wave?</p>
<p>A. 0</p>
<p>B. \(\frac{\pi }{2}\)</p>
<p>C. \(\pi \)</p>
<p>D. \(2\pi \)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A wave on a string travels to the right as shown. The frequency of the wave is \(f\). At time \(t = 0\), a small marker on the string is in the position shown.</p>
<p class="p1">What is the position of the marker at \(t = \frac{1}{{4f}}\)?</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_11.16.49.png" alt="N15/4/PHYSI/SPM/ENG/TZ0/15"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Electromagnetic waves</p>
<p class="p1">A. always obey an inverse square law.</p>
<p class="p1">B. are made up of electric and magnetic fields of constant amplitude.</p>
<p class="p1">C. always travel at the same speed in a vacuum.</p>
<p class="p1">D. are always polarized.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">Anything that radiates outwards from a point source will obey the inverse square law, whether it be gravity, magnetism from a monopole, warmth or light. But there are situations when an electromagnetic wave does not radiate equally in all directions – as, for example, with a laser. So C is the correct response.</p>
</div>
<br><hr><br><div class="question">
<p>The frequency of the first harmonic standing wave in a pipe that is open at both ends is 200 Hz. What is the frequency of the first harmonic in a pipe of the same length that is open at one end and closed at the other?</p>
<p>A. 50 Hz</p>
<p>B. 75 Hz</p>
<p>C. 100 Hz</p>
<p>D. 400 Hz</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two travelling waves are moving through a medium. The diagram shows, for a point in the medium, the variation with time <em>t </em>of the displacement <em>d </em>of each of the waves.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.38.32.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/14_01"></p>
<p>For the instant when <em>t </em>= 2.0 ms, what is the phase difference between the waves and what is the resultant displacement of the waves?</p>
<p><img src="images/Schermafbeelding_2018-08-10_om_16.39.41.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/14_02"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">An orchestra playing on boat X can be heard by tourists on boat Y, which is situated out of sight of boat X around a headland.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_11.29.48.png" alt="N09/4/PHYSI/SPM/ENG/TZ0/15"></p>
<p class="p1">The sound from X can be heard on Y due to</p>
<p class="p1">A. refraction.</p>
<p class="p1">B. reflection.</p>
<p class="p1">C. diffraction.</p>
<p class="p1">D. transmission.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A wave pulse travels along a light string which is attached to a frictionless ring. The ring can move freely up and down a vertical rod.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_11.25.00.png" alt="N15/4/PHYSI/SPM/ENG/TZ0/17_01"></p>
<p class="p1">What is the shape of the wave pulse after reflection?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-08-30_om_11.26.26.png" alt="N15/4/PHYSI/SPM/ENG/TZ0/17_02"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">It would seem that many candidates were not familiar with reflection of a wave from a free boundary.</p>
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 3">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<p>A pipe of length<em> L</em> has two open ends. Another pipe of length <em>L′</em> has one open end and one closed end.</p>
<p>The frequency of the first harmonic of both pipes is the same. What is \(\frac{{L'}}{L}\) ?</p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p>A. 2</p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p>B. \(\frac{3}{2}\)</p>
<p>C. 1</p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p>D. \(\frac{1}{2}\)</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two identical waves of wavelength <em>λ</em> leave two sources in phase. The waves meet and superpose after travelling different distances. Which path difference will result in destructive interference?</p>
<p>A. \(\frac{\lambda }{4}\)</p>
<p>B. \(\frac{\lambda }{2}\)</p>
<p>C. \(\frac{{3\lambda }}{4}\)</p>
<p>D. <em>λ</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following gives regions of the electromagnetic spectrum in the order of <strong>decreasing</strong> frequency?</p>
<p>A. gamma-ray, microwave, visible<br>B. radio wave, infrared, microwave<br>C. ultraviolet, infrared, microwave<br>D. visible, gamma-ray, radio wave</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is a value of wavelength that is found in the visible region of the electromagnetic spectrum?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(4 \times {10^{ - 5}}{\text{ m}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(4 \times {10^{ - 7}}{\text{ m}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(4 \times {10^{ - 9}}{\text{ m}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(4 \times {10^{ - 11}}{\text{ m}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>For a body undergoing simple harmonic motion the velocity and acceleration are</p>
<p>A. always in the same direction.<br>B. always in opposite directions.<br>C. in the same direction for a quarter of the period.<br>D. in the same direction for half the period.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Many candidates opted for B and this may be down to not taking the time to read the question carefully. Typically, questions on simple harmonic motion ask for the relationship between acceleration and displacement, but in this case, the question asks for the relationship between acceleration and velocity. Candidates will benefit from checking that the other options are wrong before quickly deciding upon their initial thoughts. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>In simple harmonic oscillations which two quantities always have opposite directions?</p>
<p>A. Kinetic energy and potential energy</p>
<p>B. Velocity and acceleration</p>
<p>C. Velocity and displacement</p>
<p>D. Acceleration and displacement</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The power emitted as electromagnetic radiation by the Sun is approximately 4×10<sup>26 </sup>W. The radius of the orbit of Mars around the Sun is approximately 2×10<sup>11 </sup>m. What is the best estimate for the power incident on an area of 1 m<sup>2</sup> at the radius of Mars’ orbit?</p>
<p>A. 10<sup>3 </sup>W<br>B. 10<sup>7 </sup>W<br>C. 10<sup>11 </sup>W<br>D. 10<sup>15 </sup>W</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The intensity of radiation from a star at the surface of one of its planets is <em>I</em>. The distance between the star and the planet is <em>d</em>.</p>
<p>What is the intensity at the surface of another planet which is a distance \(\frac{d}{4}\) from the star?</p>
<p>A. 4<em>I</em><br>B. 8<em>I</em><br>C. 16<em>I</em><br>D. 64<em>I</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was a slightly unusual question in that the inverse square law is usually used by starting close to an object and then moving away; here it was used in reverse. Nevertheless, one distance was four times further than the other and so the intensity ratio would be 1:16 with it therefore being 16 times greater for the planet closer to the star. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Waves emitted from sources X and Y have equal wavelengths and are initially in phase. The waves interfere destructively at point P, where the path difference is 0.60m.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAADQCAYAAABC3S5oAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxppVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MjAwPC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjIwODwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgq1GrrMAAARTklEQVR4Ae2dD1BVVR7HvywxMSUts067mGxqSuumOBFDq5mu4FgpuqkJ/XFDJchcsqwV/0C5tSryELI/OkYopI5jYmr+wTRCW2v7r7Rau27KWEZBuSqFM0v7esPeg7zH48/7d89798G53zvjvHvvOb9zzu/zu1/Oufecew1p1jZwIwES6JLAz7o8y5MkQAItBCgQXggk4IYABeIGDpNIgALhNUACbghQIG7gMIkEKBBeAyTghgAF4gYOk0iAAuE1QAJuCFAgbuAwiQQoEF4DJOCGAAXiBg6TSIAC4TVAAm4IUCBu4DCJBCgQXgMk4IYABeIGDpNI4LJAILAeXIgb08vR5FXhCVh8aDMyBoQ55f4c6/5wJ1Ycc1PCsBxU7c5Efycr7pKAvwmEBO6FqSZ8cbAc5ZtLUFxV27ndUWORlZeLR5MGILRz6qUzthrsmDMT2W/Y7SMQmzoXj865H4kDwl1Z8TwJ+I1AAAVib+M5VJcsxsPLK1FvP6X9hqeW4pOCRDj3G07Jjl1HbxQWh9mvlGBBfG9HGndIINAEDLgH6Y24zOexMXd4OzE0vfshPrV5cu8s3tn/gTZU64eU4mKKwxMupvudgAECEW0Ox8D0Zci7LbrNgdrNWF56Aq41YkPDwVV4ovw84nJfxPKkq9tsuUcCBhEwSCCaN6EDMbVgCVKi7IOqRlQXPI2ymq5vxG2nt2NRzk7gtidQmD7Y9X2KQaBYjTkJGHAP4gxW9ApPIjl9i+N+JOymHFRsy8RA5zv1hvdQkDYbxd9NxLr9S5EY6ZzoXJ5v+xcvXsThvx1G1ZuV+OabOoReFoqYQTFIuPlmTEie4FthzG0KAgYLRDA9i0MLUpBR/mUr4AhtCFWOrZn2XqI1fWcfLN5fhoyB/nla9fbhtzE3KwuNjY1dBjY6Ohrry8owKGZQl+k8aU4Cxg2xHHyvRmJOrouhVhNqSh7BnHIbxuUvwyw/iWNfxT7MTEtzKQ7RtNraWtw+bhyEkLiRgJ1AEHoQUXVXQ61F2LzwIpb+cQOQUYyXF45ApL2VEr/V1dWYNmWq1yVERETgnffeRa9evby2YUZ1CQShBxEwQxGZ9BiWpfZzkLUezUfq3atxInYuiub7Rxyi8OdWPYuQkBBHPZ52xBCsaGWhp2xMNwmBIAlE0O041BLnrkf6k9Pb37CL0zo3cVP+9uHD8PXrqjt37NBZI81UIxBEgWgoI5OwKG8aohxUP0fp0s2ocT054sjpzc7Jkye9ydYpj+hF6uud5/07ZeEJkxAIrkBgRcOF9k+VrEdfwEK3E4jGRKaurs6YilhLtyYQVIHYajZh/qIDwNjJSPJyAtEomjExMUZVxXq6MYHgCaShErnTV+LT387G80UFWOk81LK+j8LsTdJDLb0X+TXXXMOnWN34ojWyacERiFjGvuCv2IbbkfdcFuIjw7p4qiU/1BKPapMnTvTpKZaAP2PWTCNjwLq6MYEgzIOcwxFLJqavPY/JpduQ77wIUetVFt2RhW311kvIwoZLz6afOnmqZQLQ2xhwHsRbUgbkO12CyYl5OO51VeJ9oUxMjPk14lMmIc4PS5QMFoh9gnAv+rRbXmInYE/3sFbLnt3LXzGTLpaZuNvEXMkVV1yBHa+9xuUm7kAFJa3zO0Vhwx7G5o3ztNFH6zq9hmrseOUVbCwqx/GWv6/RSMp9Fisz46UmnA0dYtlqSpEx+1U3K3S7mkCUH2qJhYiv7twBcW/hahsydCjF4QpO0M9r7xSlz8ad0faV4NpU8+CbMMwuDtG+yDhMfciC7W9YMK7lgU8tDi6/F8kPluMLiWkD43qQ1hW6pZjRXvldwQ/AUMtejehNTpw4gX9+9lnLqRuGDEFCQgJGjR5lz8Lfbkmg/XcKXL+RasO57XMw8s+V2iSC2DouhvXROfFOesC3C+82WybFNl836J7mklP/9aK6n5ovVC1uvqVf/+brWv/9ZlJh88cXfvLCllnUJPDv5pJJgx3Xww3ZB5v/58rRnz5utoyMceS9blBm8/b/6Lt2Aj7Esp3eh1zxbsexRoRPeRAzvFqhqw21fn9Xuy7Vemw1pqeXSj/69fHvB7P3RALay3kJtzh9u8D6EV5/61tdngTksz8tq3Wr92DrljKsKj/W2tUBTYd3YM/pEZjq8Ysk4osoe/Hut61Ps1pdsx7NQ/KUU5g/7yHMcvc1FF0oaCRLQDwxPHLkiPZawQ+IiLgK8fHxQXrgcSUGaE+y4Hgtrwlnz1/U5V4ABNJ+rNiuVfV7kZ2o/QtPxbrjFiS23XM5sjm+YuI4037HeqwcK7Rvbq1AV9/Tap+XR8YQEK8UPD5vHs58eaZThdf2uxZ/Xbqsx97jBUAg1yNj97+Q0QmVdyfCkiz47AuLd5mZK+gEPD1CF6IRL6ulzZiBvzz9lEHtteLC+e+d6grH1b/Q935PwO9BnFrJXcUIeBKHs7sbN2zA1le2Op8K4H4DTn/+XVv5YQkYP+ZXbcc+7FEgPsBi1jYC4l2bnEWL2k54sZe3bBmEXaA3W/UmPFfV0FpNGKKmpCCpt74Pf1AggY6WouWLr8O4+gCGK5eFOCr2VrhK9s95sQh2znrU2kuLmoZlOUm6Z9MpEDtI/vpE4KMPP/Qpvz3zhx+8b9+V+rWdOIpjDc5T5NpylO0WZDqt5QsbNhPFW5ZIfTYqADfpUn7TuIcQ+Oqrr3S19MwZfXYdKxPzYqk3ru54Wju+9IHzib+7FdPuitPdc9gLpkDsJPhrCIHLwy/3Sz2ul5r4pXhHIRxiOVBwxxcCw0cM9yW7I6/4kmVP2iiQnhStbtTWMWMSdbUmaexYXXbBMqJAgkW+h9crPtE6avRor70Q79sMjY3tcTPqFIjXIWbGjgTyCyy46qqrPL7SLMRx5ZVXouiZZzoW0e2PKZBuH6Lu28CoqChs274d4mUzd1vfvn2xfefOIC1cdNcyz2kUiGdGzOGGgBhq7dqzGy+sWYMRI29pl1MMqfLy81Gx//UeKQ7hDB/ztgspD/QSEK81q/h/rLAH0XtF0M5YArZGnD/fNnNuO3cBPxjQAgrEAMisQpaAtoyktBi7atteoLMe3oBnKk+7+T8uZeu8ZG/cRxv8016WYiYC3n4Xy80LeLK4KBBZgrRXmgCHWEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCwBCkSWIO2VJkCBKB1eOidLgAKRJUh7pQlQIEqHl87JEqBAZAnSXmkCFIjS4aVzsgQoEFmCtFeaAAWidHjpnCyBy2QL6GzfgEMLxiOjvL5zUsczw3JQtTsT/Tue146tBxfixvRyNHWRdulUAhYf2oyMAWEuczCBBGQJhDRrm2whne1taKjehZdWr0JxVW2H5GgkPbwEuY+NQ//QDkmdDs+humQxHl5eCbvcwoalYv68hzAraQA8mncqjydIwDcCARKIvRHncMSSielrq2G1nwpPxbrjFiR6+4ffegiLYtOxrSkCsffl49mlE7wQlr0y/pKAHIEA34P0Rvz8lci7LbqtlU0f4MDbZ9uOPezZzpzCKRsQdtNcFFEcHmgx2d8EAiwQrbmhAzG1YAlSouxdxpfYlrMKhxq0q97jdhaHizejuve9WFuajoEcU3kkxgz+JRB4gYj2RiYhO3sM7BJB/at4qvgTuJeIdh9zcBWeKD+PuAfSMDqS6vBv6FmaNwSMEYh2O9178uOYf1NEa5usqF1XiLIa18+oYPsELy15Fee0oZUlfTBvyL2JJvP4nYBBAtHaHToYs1bORZy9G7G+j8LsTajpshtpQk1pIUq/jcf8lfdzaOX3sLNAbwkE+ClWx2ZoF37JLCQvf7/1qVYE4nLLsTWzfQ9hqynB3XesRN2UNagoGIfIjsXoPL548SIq9lZgz57d+LHpx5ZS+vTpg5G33orkicno1auXzpJppioBgwWiYbSdwLqUVKw42niJadhwLN5fhoyB4a2Mv8GOB5KR/dl4rNu/FIl+uvfYV7EPixcuhBBJV1tERAReWLMGo0aP6iqZ50xKwLghlh2w26GWuDFfjaKqnyMl7zG/iWNdSQnmZmW5FIdoWmNjI2ampUEIiRsJ2AkY34O01OxiqJXyFXLvyMJrQ/Lx9/VT0dveSonf6upqTJsy1esSxDDrwJuViIqK8tqGGdUlYHwP0sIyHANT0jHZMTfSiOqCp5G71IJt57Qb85wJfhGHqKqosNCn6IkhWPHaF32yYWZ1CQSpBxFAxXDqSSSnb3GsswK6vmnXi7++vh4jh4/w2Vz0Iv/49LjPdjRQj0CQehABMlSbP3wMy1L7tVENH4+sme2faLUl+r5XV1fnu5FmIXoRIS5uJBBEgQj4kRgQ88tuGQW94uqWzrBRugkEWSC62x1ww5iYmIDXwQq6PwGlBaL3Io+OjuakYfe/dg1podICETfb99x3r88g75+R5rMNDdQkoLRARMjmPvKI171BSEgIRO9xz72+i0rNy4NeKS8QMeG3wmLxKtJiucn6sjKvBeVVoczUowkoLxARnQnJE3CgshJDY2NdBmvU6NF4/Y0DGBQzyGUeJpiPQAC+auILRCsunP++zaDpNGpqrUgMwJdKxIW/S1vFe+rkKbz11iF8Xft1S719o/tizJhECqMtCtxzIhDEmfQmfFFpwbw/vYzjji86hCFqbDZWF6Ujzk+reJ185S4J+EzAeIE4vlLiqa3hiM3dhdcyr/eUkekkEDACxgskYK6wYBLwPwFT3KT7HxtLNAsBCsQskaafughQILqw0cgsBCgQs0SafuoiQIHowkYjsxCgQMwSafqpiwAFogsbjcxCgAIxS6Tppy4CFIgubDQyCwEKxCyRpp+6CFAgurDRyCwEKBCzRJp+6iJAgejCRiOzEKBAzBJp+qmLAAWiCxuNzEKAAjFLpOmnLgIUiC5sNDILAQrELJGmn7oIUCC6sNHILAQoELNEmn7qIkCB6MJGI7MQoEDMEmn6qYsABaILG43MQoACMUuk6acuAhSILmw0MgsBCsQskaafughQILqw0cgsBCgQs0SafuoiQIHowkYjsxCgQMwSafqpiwAFogsbjcxCgAIxS6Tppy4CFIgubDQyCwEKxCyRpp+6CFAgurDRyCwEKBCzRJp+6iJAgejCRiOzEKBAzBJp+qmLwP8Bp6L+PNp0YVcAAAAASUVORK5CYII=" alt></p>
<p>What is a possible value for the wavelength of the waves?</p>
<p>A. 0.20 m<br>B. 0.30 m<br>C. 0.40 m<br>D. 0.60 m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Candidates needed to recognise that the path difference needs to be equal to an odd number of half-wavelengths for destructive interference to happen. With a path difference of 0.60m this is true only for wavelength of 0.40m giving a half- wavelength of 0.20m and thus three half-wavelengths occurring. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>A girl in a stationary boat observes that 10 wave crests pass the boat every minute. What is the period of the water waves?</p>
<p>A. \(\frac{1}{10}\) min</p>
<p>B. \(\frac{1}{10}\) min<sup>–1</sup></p>
<p>C. 10 min</p>
<p>D. 10 min<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What statement about X-rays and ultraviolet radiation is correct?</p>
<p>A. X-rays travel faster in a vacuum than ultraviolet waves.</p>
<p>B. X-rays have a higher frequency than ultraviolet waves.</p>
<p>C. X-rays cannot be diffracted unlike ultraviolet waves.</p>
<p>D. Microwaves lie between X-rays and ultraviolet in the electromagnetic spectrum.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pipe of fixed length is closed at one end. What is \(\frac{{{\text{third harmonic frequency of pipe}}}}{{{\text{first harmonic frequency of pipe}}}}\)?</p>
<p>A. \(\frac{1}{5}\)</p>
<p>B. \(\frac{1}{3}\)</p>
<p>C. 3</p>
<p>D. 5</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The refractive index for light travelling from medium X to medium Y is \(\frac{4}{3}\). The refractive index for light travelling from medium Y to medium Z is \(\frac{3}{5}\). What is the refractive index for light travelling from medium X to medium Z?</p>
<p>A. \(\frac{4}{5}\)</p>
<p>B. \(\frac{15}{12}\)</p>
<p>C. \(\frac{5}{4}\)</p>
<p>D. \(\frac{29}{15}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A body undergoes one oscillation of simple harmonic motion (shm). What is correct for the direction of the acceleration of the body and the direction of its velocity? </p>
<p>A. Always opposite <br>B. Opposite for half a period <br>C. Opposite for a quarter of a period <br>D. Never opposite</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram shows an interference pattern produced by two sources that oscillate on the surface of a liquid.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.41.00.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/15"></p>
<p>Which of the distances shown in the diagram corresponds to <strong>one </strong>fringe width of the interference pattern?</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two sound waves from a point source on the ground travel through the ground to a detector. The speed of one wave is 7.5 km s<sup>–1</sup>, the speed of the other wave is 5.0 km s<sup>–1</sup>. The waves arrive at the detector 15 s apart. What is the distance from the point source to the detector?</p>
<p>A. 38 km</p>
<p>B. 45 km</p>
<p>C. 113 km</p>
<p>D. 225 km</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pair of slits in a double slit experiment are illuminated with monochromatic light of wavelength 480 nm. The slits are separated by 1.0 mm. What is the separation of the fringes when observed at a distance of 2.0 m from the slits?</p>
<p>A. 2.4 × 10<sup>–4</sup> mm</p>
<p>B. 9.6 × 10<sup>–4</sup> mm</p>
<p>C. 2.4 × 10<sup>–1</sup> mm</p>
<p>D. 9.6 × 10<sup>–1</sup> mm</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is true about the acceleration of a particle that is oscillating with simple harmonic motion (SHM)?</p>
<p>A. It is in the opposite direction to its velocity</p>
<p>B. It is decreasing when the potential energy is increasing</p>
<p>C. It is proportional to the frequency of the oscillation</p>
<p>D. It is at a minimum when the velocity is at a maximum</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A ray of light is incident on a boundary between glass and air.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_11.17.28.png" alt="N09/4/PHYSI/SPM/ENG/TZ0/12"></p>
<p class="p1">Which of the following is the refractive index of glass?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{{\sin {\theta _1}}}{{\sin {\theta _3}}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(\frac{{\sin {\theta _1}}}{{\sin {\theta _4}}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\frac{{\sin {\theta _3}}}{{\sin {\theta _2}}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{{\sin {\theta _4}}}{{\sin {\theta _1}}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>It was disappointing to see the number of students who incorrectly selected B. This would suggest that they were applying the formula without consideration to the situation. As \(\mu > 1\), and as \({\theta _4} > {\theta _1}\), the correct answer must be D. It may be advisable to teach Snell’s Law by referring to ‘big’ and ‘small’ angles rather than to angles of incidence and refraction.</p>
</div>
<br><hr><br><div class="question">
<p>A system that is subject to a restoring force oscillates about an equilibrium position.</p>
<p>For the motion to be simple harmonic, the restoring force must be proportional to</p>
<p>A. the amplitude of the oscillation.</p>
<p>B. the displacement from the equilibrium position.</p>
<p>C. the potential energy of the system.</p>
<p>D. the period of the oscillation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What are the changes in the speed and in the wavelength of monochromatic light when the light passes from water to air?</p>
<p><img src="images/Schermafbeelding_2018-08-12_om_09.30.27.png" alt="M18/4/PHYSI/SPM/ENG/TZ2/16"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A sound wave has a wavelength of 0.20 m. What is the phase difference between two points along the wave which are 0.85 m apart?</p>
<p>A. zero</p>
<p>B. 45°</p>
<p>C. 90°</p>
<p>D. 180°</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Monochromatic light travels from air into water. Which of the following describes the changes in wavelength and speed?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_17.48.03.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/15"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">One end of a horizontal string is fixed to a wall. A transverse pulse moves along the string as shown.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_17.44.42.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/14"></p>
<p class="p1">Which of the following statements are correct for the reflected pulse compared to the forward pulse?</p>
<p class="p1">I. It moves more slowly.</p>
<p class="p1">II. It has less energy.</p>
<p class="p1">III. It is inverted.</p>
<p class="p1"> </p>
<p class="p1">A. I and II only</p>
<p class="p1">B. I and III only</p>
<p class="p1">C. II and III only</p>
<p class="p1">D. I, II and III</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">A surprising number of candidates chose D, perhaps thinking that if it has less energy then it must necessarily be going slower. The energy of a wave, however, is a function of its amplitude – not its velocity.</p>
<p class="p1">If the wall had been rigid then ‘III only’ would have been a correct response, but as this was not available, C is the only possibility and we must assume the wall is not rigid.</p>
</div>
<br><hr><br><div class="question">
<p>A first-harmonic standing wave is formed on a vertical string of length 3.0 m using a vibration generator. The boundary conditions for this string are that it is fixed at one boundary and free at the other boundary.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.36.00.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/13"></p>
<p>The generator vibrates at a frequency of 300 Hz.</p>
<p>What is the speed of the wave on the string?</p>
<p>A.<span class="Apple-converted-space"> </span>0.90 km s<sup>–1</sup></p>
<p>B.<span class="Apple-converted-space"> </span>1.2 km s<sup>–1</sup></p>
<p>C.<span class="Apple-converted-space"> </span>1.8 km s<sup>–1</sup></p>
<p>D.<span class="Apple-converted-space"> </span>3.6 km s<sup>–1</sup><span class="Apple-converted-space"> </span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two wave pulses, each of amplitude <em>A</em>, approach each other. They then superpose before continuing in their original directions. What is the total amplitude during superposition and the amplitudes of the individual pulses after superposition?</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with distance <em>x</em> of the displacement of the particles of a medium in which a longitudinal wave is travelling from left to right. Displacements to the right of equilibrium positions are positive.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAk8AAAEcCAYAAADeNVCqAAAgAElEQVR4Ae29D3hV1Znv/0J9/NUOl2m9tjWpVmttsFOd0hG0rVoDtgHqeGVwaItF0gsKjkUUH02EoaJTUCJeubXYWplQCLRMq8mlrRZBQ+Up9rYMKP1hH0l+jkWBpHO1yD9RuU3273l3ssLKyj7nfc85K/ucvc93P4+etfd61/t+38/aJCt7rbP2kCAIAsIBAiAAAiAAAiAAAiCgIjBUZQUjEAABEAABEAABEACBkAAGT7gRQAAEQAAEQAAEQCAHAhg85QALpiAAAiAAAiAAAiCAwRPuARAAARAAARAAARDIgQAGTznAgikIgAAIgAAIgAAIYPCEewAEQAAEQAAEQAAEciCAwVMOsGAKAiAAAiAAAiAAAhg84R5IFoHuTtqxup7GDBlCQ/i/MfW0ekcndScrC6gFARAAARBIMAEMnhLceWUnvftVarnhWnqo6zr6RRBQEByitpvfQ6tG3UKr2t8pOxxIGARAAARAoDgEhmCH8eKAR9RcCXTT4c0L6LypRGt3L6Kxw824/w3aXD+eptL9tLthLA3P1S3sQQAEQAAEQCBHAhg85QgM5sUigEFSscgjLgiAAAiAQH8C5s/3/ldxBgKlRqD7Ddqz8yBdMOJ91LF5JdWPqQzXPFXWLqOn2w+XmlroAQEQAAEQSDEBDJ5S3LmpSu1oB7XtOkZH18yjW545k25t7aAg6KL2eafS2i/Pp5b9x1OVLpIBARAAARAoXQIYPJVu30DZAAKd9JuTr6PvLvoSVYR37lAadt6VVHvNb2n2Q1vJff4UfhvPfCvP+bz//vv7vHPZPV+zZk1fPRckG7ee27AP1697ronjtrHPfcWRtGrjuNr43L7mK47ETRPH1RZ17iOOpIXjSnGitPE1+/ARR/KR1vvA5hjFOqp/7DZabnabfOJEtYm6DwqN4ysfV5utK+llrHlKeg+Wi/7Dm6n+vCtozXWtzsLwd6h95TQa8ZPx1LZhOlUp/hzgQVUQBOVCDnmCAAiAAAh4JqD4VeM5ItyBQD4Ehv8tjbvuwnxaog0IgAAIgAAIeCWgHzzxX/6VlTRu5e5wQ8Lu9pU0bsgoqt/8hj9B3btp5bhz+2L4c5wUT4ep/emHaP7qHsbZVfMTl6+XEavhNOLizxKteYa2H7a3xDxK+9r2U/WXzqdK/d2cHW3vlJtk5D7Kd+2lerbX2EiPvjU+JBupvpS0arRo8pG4+oqj0SLZ+NAaZz6SXilfjVaNjSaOpNVXHI0WycaH1jjz0ehlPUk88v51M7RqOm0MtlPD2NOSmHdpaj68nRprl9COLo08HjT8F/rqpWdT3p2oCVMyNifTR2qm0W0jfkrffnQ7HQ11HafObT+h1c2foZunjKRhJaMVQkAABEAABNJMQL/mKVxzMpV2LtpMG6afNzi/sPnJ04S/p5989YnBi1HKvZkLY7a9dg/N+LlunU8pp52TtqPt9PQji6n2jibqJKKKaQ/S6n+eQV+q0m+PiTVPORGHMQiAAAiAgEMgw0OL49S5o4UeqL2g5/1hlbX0wIbn6U9W4wHTdkfbafNK651jQ8ZR/crN1H6Up1h4d+j5VDnkK7Ri89O0zPhlm9XbqNOehbFicLG7cwe1PFBLlX3flrL9GmPWu6Zv758hrPfp9t6nE702Ee9EW7nZsjHTkg88Thv74lXSmPo1tKPzDWp/ehnVVva8T62y9mHa1ml/Nd6J3y93js8bPI6iIeMeps3bMugMB05X0P2dnbRpxifpPZXzaXO/6SmTK3920+Htz9IfJn2ezo3sQRNvCbVsPKG75z1w++lw+8Z+fbtsm3k3XL7tbG2DXB5WRV+6fTV1hK9nCahj9dycBk6DrA7uQQAEQAAEyoBAxK/ebjq642G6dtQP6PWrH6Mj/EuqfR6d8/zT1MR/6kceB2nHI7fR1C1/Q98/0hV+k6mr43Z6z5qZdPNP262Xtj5GM6euJfrmJuoKuuhI2yyiVdfStQ9u6z/QMTGObqMHr51FP3vPTNrRxe8yC8j4nfXIiamb/S230YWj1hLdvJmOsN/NY2lX7TV0S8urPbHDd6LV0FWbP0oNHe+G+wMd+f7f0Japlk0Ys5M23bGCNp8zj9rDWKvpc9vqaVTlGFr84kW0ZF9AwZFdtIgeoYkLnqD94aDvOIXxr3qGTm/YQV3M68j/oBFbbqHqW9b32vQmtGkxfbv5r2jGL/ZRELxLHWvPoSdrbqNHdhwkGj6WGna3Ul1FBdU0vkRdHfdaryAxQMznAdq+8f/QJGnKbtND9N3NZ9E/t3dR0LWPWj+3k74x6gw6b/HL9IUlO8J3w7206CRaOnExrbf3Scq3nZGHTxAAARAAARBIMwF+t13/4/Wgte7CoKKuNThkVxxqDeoqKoKaxpeCriAIutoagxq6MKhrfT0Iul4KGms+3ldnN+spdwWHWucFFXR+ML15T9i+3/WKeUHroS7HT28bU9fn9O2grXFyQDWNQVsohGNXOHp7cuixMbEnB41tb/d5CQLHf5gfZfFjmvbGN7ocLsYqCK/38gl69Zg2xsht654bO/eT7T7ey8ytC8+j4kVz6NePkTo17SJFlOxFIgqampr69HE52zkbSjZuvc82DQ0NGbX6jOODga211LTZ+bE21mpfc/vQPS9mPpLWYmpzOfF50u4D5meOqHz4mn1EndvXXB/c1q435/Y1TRvtfeBqzTWOq8U9N/qlOO59YNsnvcxPc/ofmX6BOwOk/r903wy2L70yoIq6oPl3rUFza1twpJ/X6F/AbNLPjxOjx0VXcKTtV0Fzc3PQ3PxY0FhXwxv09A2eetqfGNT1CxueRA0kej3bA8Aw71wHT/+3d1BoBklW9DAXM6jLoKGfTRD0DLiy5XJC95Xu4NYKHeQ9CIrSGd13/fqtX+zSP+H7RzrsHzaZbCUbqZ79amykH0AaH5KNVF9KWjVaNPlIXH3F0WiRbHxojTMfSa+Ur0arxkYTR9LqK45Gi2TjQ2uc+Wj0sp4kHgN+i2QcjDgDm4G/PA8Fba3NJwY3VBFU1zUGrW38/Cr6FzAD6xfPiREc2RU0Tjs/oNDXoz0DqNadwXZ+8tT7FKdf+8ge6B0Q8IAr8r/egU/koLG3rXnKFfq3nzyZwVMm32YwFjUo4eSdp2aRGtykOP6snid+blXfeZTu6D7o34/5tusLnIiCZvCUiEQgEgRAAARAoCgEBqx5Gnr62TSyIp+JyuFUNXYSTW/Y2LOeZ/tyuvJPy+iK6iVZFj6bOJU08uzTnG/wvUPtP/0XmvH05dS8bw/9quEGmjRpEk0a+xE61PaKaaj/rGmktt51U7x26sR/PrZbmEyNbW9bPk/472gYS/rvgSnS6d5DW1s+RONGnaowhgkIgAAIgAAIgIBvAgMGTxTu5FxJu9o6+i/i7n0xq07AyVRx4USaWXsVVXS+THv+ZL6Z9gq17evZoafHTzcd3fcy7aqoiRgM8D5GrxBd8Hd0fsXJJ8J2v0UH33i373zouZ+nr9aQo5c3kPwKDRnyFVrZ/j4aNa6GKnY9Ty/2+4YcL4xfRmNCm3f6/OVWGErDR32Rrqt4iZ578T+thfFEdHQbPTDG/4af3S//hlo+VU2jhg/suty0wzobAWmzOm4r2Uj1Gh9sI2005yOODx9xadVw0+QjcfUVR6NFsvGhNc58JL1SvhqtGhtNHEmrrzgaLZKND61x5qPRy3qSeET8Bj6NqufMpwlrbqGbV77YM4A6uptaFjfQ/Zm+bde7M/iY+pberQl48NBOz2zcQTT9azTu3Pf2stlB93/7QWpp51e4dtPR3Wvo5qm/oAnLZ1H1gMHAqT2Dnk0/oVXP7u/91lwnbfvOXTR75YsnWA89hybUz6IR9zfQks09dt2dv6ZVa56n6qW301eq3kfDq2fR8glbaPb8Fb1bDHTT0fb19O3bHyYKbYy+E27VpeGX0pzll9OG2XfRd8xX/pnXt79Fd9A36d6vVDlP1LJ4HlZJIy54X4/BsaMU7vLQz5wHm3uIRlRiQ8h+XHACAiAAAiAAAjESiJ4s5EXaTwVLw/VGvJ6nJqh77N+CpdY36vqvlQmCro7tQfPSaUFF37qi84NpS5uD7R3vWmueaoK6xqYTfiumBUs3WYvL3TVPXR3B9lV1QbXxyfaPtQa/a64LKvp9c+3doGN7U1BXXdG7rqkmqFv1u6CDv41njiNtQWuj46t5+wmbyPVGUWuA7DVPJgCv92q04tu5swDlmqfg3aCj9e7efN1vBxo/s5xvDZoE7c8o3VjzZAhhzZMhgU8QAAEQAIF8COh3GC9oQMebZC6g8654mRa1NdH0qgKe9BSkA41BgMKNX3nNGw4QAAEQAAEQyIdAxLRdPm7QBgTSRUBae8DZSjZSvcYH20jrBnzE8eEjLq0abpp8JK6+4mi0SDY+tMaZj6RXylejVWOjiSNp9RVHo0Wy8aE1znw0ellPEg8MnpLYa9BcMAH7hxSX3XM3gGTj1pv2rl/33NiZT9ePbc82br3dzi7b7exyJhvjO1u9ZIM46B/3Hsl2P9n3C5ftc7udXbZt7HImG75u23HZPjft7E/XJspeuub6sP2bsmsj+bTb2eWodqaeP0spjq0r6eWYpu2Sjgn600QALwZOU28iFxAAARCInwCePMXPHBFBAARAAARAAAQSTACDpwR3HqSDAAiAAAiAAAjETwCDp/iZI2ICCEjrCDgFyUaq1/hgG2nRpY84PnzEpVXDTZOPxNVXHI0WycaH1jjzkfRK+Wq0amw0cSStvuJotEg2PrTGmY9GL+tJ4oHBUxJ7DZpBAARAAARAAASKRgALxouGHoGLRQALxotFHnFBAARAIB0E8OQpHf2ILEAABEAABEAABGIigMFTTKARJlkEpLUHnI1kI9VrfLCNtG7ARxwfPuLSquGmyUfi6iuORotk40NrnPlIeqV8NVo1Npo4klZfcTRaJBsfWuPMR6OX9STxwOApib0GzQUTsH9Icdk9dwNINm69ae/6dc+Nnfl0/dj2bOPW2+3sst3OLmeyMb6z1Us2iIP+ce+RbPeTfb9w2T6329ll28YuZ7Lh67Ydl+1z087+dG2i7KVrrg/bvym7NpJPu51djmpn6vmzlOLYupJexpqnpPcg9OdMAGueckaGBiAAAiAAAhYBPHmyYKAIAiAAAiAAAiAAAhIBDJ4kQqgvSwLSo3CGItlI9RofbCOtG/ARx4ePuLRquGnykbj6iqPRItn40BpnPpJeKV+NVo2NJo6k1VccjRbJxofWOPPR6GU9STwweEpir0EzCIAACIAACIBA0QhgzVPR0CNwsQhgzVOxyCMuCIAACKSDAJ48paMfkQUIgAAIgAAIgEBMBDB4igk0woAACIAACIAACKSDAAZP6ehHZJEjAXthJpeznbNrycat99nGXnQ5mHF8MLC1+mTgQ5vtg7WxVvsal7OdFzMfSWsxtUVxS9p9wPzMEZWPfV+wXdS5fc314auN9j4wuZi4cWhzc+Zz9z6wdSW+HOAAgTIjQERixk1NTQXb+PDBIhoaGrJq8RHHh4+4tHIcSa9Ur9HqK45Gi2Qj3QMarRobSYfGB9tIen3FkfxI9Rqtmpw1cXzYSFw1WjU2PrRq2bJdEg8sGE/88BcJ5EoAC8ZzJQZ7EAABEAABmwCm7WwaKIMACIAACIAACICAQACDJwEQqkuXQPf+FppROYrqN7/hXaS9RiCTc8lGqme/Ghtp3YDGh2Qj1ZeSVo0WTT4SV19xNFokGx9a48xH0ivlq9GqsdHEkbT6iqPRItn40BpnPhq9rCeJBwZPSew1aCbqfpXW37WQVnYCBgiAAAiAAAjESwBrnuLljWheCBym3Svn0t+veYU+/OwRurT1KWoYe5raM9Y8qVHBEARAAARAIIIAnjxFQMGlUibQTUd3NNI/LTiFlsz/RxpWylKhDQRAAARAIJUEMHhKZbemOKmj2+mR239E5yy/gyaedcqgJSqtPeDAko1Ur/HBNtK6AR9xfPiIS6uGmyYfiauvOBotko0PrXHmI+mV8tVo1dho4khafcXRaJFsfGiNMx+NXtaTxAODpyT2WtlqPkg7HrmPnrzye/SdSWeRdPPy9FzUf4zPvn7xxRdTdXU1NTU10XPPPUd33333AML8Q8D+QWCX2ditNw5sO9fGrrPt7et2eTDjGN+ZdNjX7bKtzy5nsuHrth2X7XO7nV22bexyJhvEGXhPgttAJub+sT+Zk83KLhs76Zrrw7SzP10byadpa9u5PoyN/ena2O2NnXTN9WHa7du3L/yZyT87+Wfopz71qX4/W1988UVjmrpPrHlKXZemNaHjtL/lNhr93Y/TL35xC104bCh1t6+kCSO+RyMLXPPEPwCOHTtG/A999+7dtG3bthDiF7/4Rbr00ktp5MiRaYWKvEAABEBATeDtt9+m559/nl544YXwj83Kykrin5NVVVV09tln02mnnUannnqq2l+SDU9KsnhoLx8C3fufoLtm76HbfrEoHDj5zPyMM84I3fEPAHMcOHCAtm/fTg8//DD9/ve/p2nTptHEiRPJ2Bo7fIIACIBA2gm0t7fTpk2b6Oabb6bFixfT5ZdfTtdee23ZDJSi+hdPnqKo4FqJEXiH2ldOoxEzHsusq6aR2jZMpyppLq93yi4Igsy+nBoeSD377LPhX1o8wLr66qvpkksucaxwCgIgAALpIsDLGJYuXRomddNNN9Fll11Gp5wyeGtNk0RP8asmSelAazoJvJeqpv+UX0jX77+utkaqoQuprvV1CjbqBk5aPvbCTX4MPWnSJFq/fn04cPrZz34WPoW66667srqzfWQy1NhErUew/Wl8SDZSPcfT2MShVaPFh1ZfcTRaJBuJq0arxkbSofHBNpJeX3EkP1K9RqsmZ00cHzYSV41WjQ3/bOMn7fyzjmPyz76ampp+AydNPhq9rCeJB6btkthr0Fw0AvzEif/jx9i33XYb1dXV0fXXXx/O+RdNFAKDAAiAgAcCO3fuDL8w85e//IUefPBB/FzLwhTTdlngoKq0CfhaMF5Iluax9kUXXUQ33nhjWa8BKIQj2oIACBSPAC9NWLJkSfhHIT8tstd/Fk9VaUfG4Km0+wfqBoGA7x3G+RsoGzZsCH/4LFq0KHy8PQiy4RIEQAAEvBNoaWnBz648qGLNUx7Q0CT9BDTz+caGF1Dymij+IfTYY4+FU3n8l5ypz0ZLYyOtG9D4kGykes5BYxOHVo0WH1p9xdFokWwkrhqtGhtJh8YH20h6fcWR/Ej1Gq2anDVxfNhIXDVajQ1v0XLDDTfQb3/7W3rqqaf6/dHnQ6uWLdsl8cDgKYm9Bs0FE7B/OHDZPXcDSDZc/6tf/YpWrFhBn/3sZ2n8+PH06quvDvDrI47tw+i0r3HZPTd25tO14etuG/vcbmeXbRu7nMkGcXo426zsMrgZAj2fNhsuu+f9rQey5Xq3jX3utjf2to1dNvbSNa6PsjHtix1n165d4R98kydPDge6Tz75pC0tLNv6feUzIEiCL2DaLsGdB+n5EfA9bRelgv+qmz17driB3IwZM/p9SyXKHtdAAARAYLAJ8BKDZcuW0R//+EdauHAh9q0rADiePBUAD01BIBMB3kxz3bp1dPjwYZozZw7xNB4OEAABECgWAf6DbsqUKeGAiZ+QY8PfwnoCg6fC+KF1SgnYj6wzpSjZPP744zR//nziR+M8jcfbG7iH5IPtpXUOGh+SjVTPOjQ2cWjVaPGh1VccjRbJRuKq0aqxkXRofLCNpNdXHMmPVK/RqslZE8eHjcQ1k1b+VjA/Cb/jjjvCtyVIWqT6THH4un1o9Nr2SSpjn6ck9Ra0JpIAby73oQ99iKZOnRo+Msfu5InsRogGgUQSMN+m4088bfLXhVjz5I8lPCWEQBxrnqJQ2Oug+K9AHCAAAiAwmASWL18evpvzoYcewrpLz6AxbecZKNyBQCYCZh0Uv2iYf6jhAAEQAIHBIMALw3kbAl5ziYHTYBAmwuBpcLjCKwhEEuA9ofiHGf9Q4x9u/EMOBwiAAAj4IsA/U/hLKp/+9KfDNZd4ka8vsv39YPDUnwfOyoSAvSCSy9nOGYlk49Zna8M/zHgh+fHjx2nChAn9BlCuHz63F1269dnimK6Ms42ttdS0MQf7YK32NZeTe17MfCStxdTmcuLzpN0H9n0RlQ9fs4+oc/ua68P0j+sj1zbSfcBLA/hnCg+czNIAV4t77kub65fP3fvAzj/x5QAHCJQZASISM25qairYRuNj2rRpwfXXXx8cO3YsY7yGhoaMdVyhiSPZSPXaOHFo1WjR5CNp9RVHo0Wy8aE1znwkvVK+Gq0aG00cSauvOBotkk02rXv37g1Gjx4dfOtb32LJWQ8pjlTPzjU22fRmFZiASiwYT/zwFwnkSqBYC8Yz6cSizkxkcB0EQEBDgJ848SuieANMfJtXQ6xwG0zbFc4QHkCgIAL8eJ0fs/M6BayBKgglGoNA2RHAwKk4XY7BU3G4I2qJE+D5eumQbKR69m9ssg2gpHUDxkc2vZKNVG9rzRYnDq0aLZp8JK2+4mi0SDY+tMaZj6RXylejVWOjiSNp9RVHo0WycbVGDZwkH3Hm4+rl2Gk5MHhKS08ij8QTyDaASnxySAAEQMArgaiBk9cAcJaVANY8ZcWDyjQSKLU1Ty5jrIFyieAcBEDAJmC2I+Bv1vFaJxzxE8CTp/iZIyIIZCVgP4HKaohKEACBsiNgBk68ThIDp+J1PwZPxWOPyCVMoNjrBngAxQc/hZLWDRRbq92NcWjleFLOUj37kLT6iqPRItn40BpnPpJeKV+NVo2NJo6k1VccjRbJZvHixX0bYJqfEazPPiQfbCvZSPUaH2yjYWtrT1IZg6ck9Ra0eiNg/3DgsnvuBpJs3HrT3vXrnhs782n74Z3IH3/8cfrNb35jqkOdtg9TYV+zfXC9XWfbu9ftc9eH3c4uu21MnfmM8uO2sc/tdnbZtrHLmWz4um3HZfvcbmeXbRu7nMkGcXo426zsclK4GZ2mP+0c7LKxk65xfZSNaZ9vnF//+td08ODBjBtg2v5N2dUSpUu65vowvu1P1ybKp22f9DLWPCW9B6E/ZwKlvubJTogf0U+ZMoVuuukmqqmpsatQBgEQKCMCWAtZWp19UmnJgRoQAAGbAL/KhX9o8tqGv/qrv8IGeDYclEGgTAhs2rSJnnnmGVq3bh3hXXWl0el48lQa/QAVMRJI0pMng4W/lnzmmWfS3r176YwzzjCX8QkCIJByAs899xzNnTuXWlpa8G+/hPoaa55KqDMgpXQIaObrJRupnrPV2PCiSx4wbd26NXwCxQMp+9D4kGyk+ly02trcsq84kh+pnnVpFrNKfqR6LTfJjw+tGi2SDo0PDVtfcSQ/Ur1GqyZnTZx8bPjf+qWXXto3cErbfcBsk3pg8JTUnoPusiPA76y688476Z577sFrXMqu95FwuRE4cOBA+McS/9GEp82l1/uYtiu9PoGiQSaQxGk7GwmvgXrttddUT07sdiiDAAgkg4DZy+myyy6jadOmJUN0manEk6cy63Ckm3wCM2bMoDfffJOampqSnwwyAAEQGEBg2bJl9LGPfQwDpwFkSucCBk+l0xdQUkIE8lmf4Mr34YN9uusc+Ns2DQ0N4bfweDGpjzg+fERpHSwmkl6pXqOVbSQ/Ur3Gh8bGvQe4jXv40OLDB+uS9PqKI/mR6jVa2UbyI9VrfBgbXhj+xz/+MVwkztfsQ+LKtj60+PDBWjR67fySVMbgKUm9Ba3eCNg/HLjsnruBJBu33rR3/brnxs58un5se7Yx9aeeemq4iJQXk/LaCNvO2Ng+Tdl8ujbGd7Z6ycbWkM2PbRelA3FO9LPhKDExdtnY2nW2vXvdPueyfW63s8u2jV3OZMPXbTsu2+d2O7ts29jlTDbaOKa9sbd922VjJ13j+igb0z5TnFdffZWWLFlCCxcuDLckiPJhX8s3jq3DaMl2zVccN0aSz7HmKcm9B+15EUj6mic7afM15i1btmD/FxsMyiCQMAL8zTrez+3RRx+lkSNHJkx9+cnF4Kn8+rzsM07T4Ik7EwvIy/6WBoCEEzALxCdMmBAOoBKeTlnIx7RdWXRzWpI8TO2bV1L9mEriARD/V1m7jJ5uP+w9QfvReCbnko1Uz341NtK6AV4DJS0gl+JI9b60+ooj+ZHqOR+JqyZnTRwfNj60xpmPpNcHE1/5SFp9xcmWs1kg/tZbb3G4jIcPrew8mxZNvdZGozdjsiVegcFTiXcQ5BkCx2l/y3yqnrqFTm/YQV1BQEFXB60fuZNqq+dTy/7jxrDsPk8++eS+BeQ7d+4su/yRMAgkmQC/emXbtm2RC8STnFfatWPaLu09nJb8unfTygljacHItbS7YSwNN3llum7qIz7TNm1nUuSB08yZM/t2IzbX8QkCIFCaBNrb22nq1Kn4N1ua3ZNVFZ48ZcWDypIhMPQ8mr6xgzrsgZMlrnPnHvpTt3WhDIu8yBQ7kJdhxyPlRBLgdU48cOIpO+wgnrwuxOApeX0GxQMIvI9qvvp5Ohd3c7jY9AMf+AA1NjYOoIQLIAACpUOAtyPg3cP5tUs4kkcAv26S12dQ3EfgOO1fv5wW7BpPs8adQ+7NbBaVu5/c3F7IyGX33F1QKdm49RyDfbh+3XNNHLeNfR4V56//+q/DNVC8jYHJVYojaY2KwzpsLe65iW3b+IrjIx9Xb9S5jzhSzhxXihOlja/Zh484ko+03gc2xyjWUf1jt9FyM214I0zeXuTQoUPmUvhvSYoTpS3qPuhz2vuzzrbhshQn13w4nkabrSvx5QAHCCSSQFdw5KVVwbSKmmBe676gK4cciEi0bmpqKtjGhw8W0dDQkFVLVJy2trZg9OjRwd69e8O2UTa2U6mebTU2+Wi1dWjjSFqkeo4jadVo0cTxYeNDa5z5SHp9MPGVj6TVV4Jd6lkAACAASURBVByTs/tvk/2bw9iYc/fTh1b2KcWR6jU+2Eaj180xKedYMJ744W85JtBNR3evoW+OfYBo0Tp6ePr5NCwHDGldMO4i4L9uN2zYQA899BA20HTh4BwEikCA1zldfvnl4TonTNcVoQM8hnRnOjy6hisQGAwCx6lz2/fzHjgNhqJS9cm7FfOB9U+l2kPQVW4EeJ3TxIkTsc4pBR2PwVMKOrFsUujeT5vnX0WVF/+cTl/+WM5PnHLh5K4JiGor2Uj17FNjY69XyFUHv0C4qamJFi1aFNW075pGh8amEK1GjCaOZCPVcyxJK9tIfqR6jQ+NjQ+tmji+8pH0+ooj+ZHqmYmk1Re3uro64q0J5s6dyy4jD0mvD60cWIoj1Wt8sI1GbySIBFw8KQEaIREEiOgg7XhwFl1xXwdNb36C7pt01oAF4sA0kAC/QJjflXXNNdfQTTfdRHyOAwRAIF4C/N66pUuX0t69ezGFHi/6QYuGNU+DhhaOfRLobl9JE0bMoE2ZnFbMo9bdi2jscPlharmsebJR4f13Ng2UQSA+ArzOacqUKeG2BGYqPb7oiDRYBDB4Giyy8FuyBMpx8IQXj5bs7QhhKSeAP1zS2cHyn+npzBtZgUBWAj7m/H34YJHSugFNnMcff5x4sSpP3/EUgntofGhsfGjVxJFspHoNV7aR/Ej1Gh8aG4mrxofGxlc+kl5fcSQ/Uj0zkbQWwo1fmcRrDnnnf40WycaH1kLy4bbmkLSynUav8Ze0TwyektZj0OuFgP0Pn8vuuRtEsnHrTXvXr3tu7Myn68e2Zxu33m5nl+12psyvgGhubqbZs2eH38Az1+12dtmt5zr7Gpfdc9PefLo2kg+7nV1GnOzsbVZ2Gdx03Awz/nTvWZuhsZOucf33v//98F2TvOYwaq2hrzhRWoxOn/n4iGPrSnoZ03ZJ70Hoz5lAOU7b2ZD4Wz8f/ehHw0GUfR1lEAABfwTw78wfy1L0hCdPpdgr0AQCg0iApxB4KoGnFHCAAAj4J7Bp06ZwW4IZM2b4dw6PJUEAT55KohsgIk4C5f7kiVnzwGnmzJnh+7VOOeWUOPEjFgikmgCvKTzzzDOpra2NqqqqUp1rOSeHJ0/l3PvIPSMBaX6fG0o2Ur3GB9tIiy7ziTNy5Mhwp2NeRK7VoYkzGFpDgc7/JC1SPbuTtGq4aOL4sPGhNc58JL0+mPjKR9Kaa5x77rknXFvoDpx85OxDa675sH3UoclHozfKdxKuYZPMJPQSNILAIBDgnY75PVs8xYADBECgcAI8Hc4H9nMqnGWpe8C0Xan3EPR5J4BpuxNI+XURU6dOpaeeeiryG0EnLFECARDIRoD/LY0YMSLcRZy/2Yoj3QQwbZfu/kV2IJCVAE8t8NYF9fX1We1QCQIgkJkAb0LL367buHEjYeCUmVOaajB4SlNvIhdvBDTz+ZKNVM9iNTbSugGNj2w2kydPpueff55aWlqy8svmwzQcbK0mjqRFqmc/kla2kfxI9RofGhsfWjVxfOUj6fUVR/Ij1TMTSauG26233houDq+pqWHzyEOjRbLxoZXFSXGkeo0PttHojYSVgIsYPCWgkyDRPwH7hwOX3XM3omTj1pv2rl/33NiZT9ePbc82br3dzi7b7exylA1/2+5rX/tav93HByOOHdsuZ9KXySaTvXvdPueyfW77tsu2jV3OZMPXbTsu2+d2O7ts29jlTDaIM/De98nNcDecbd922djZ1/ibq8888wx97GMfM9UZ/532GUT8W7Z9GjvpGtdH2Zj2/OnaRNlL11wftn9Tdm2ifBrbNHxizVMaehE55EQAa56icfGTpw0bNtCKFSuiDXAVBECgHwGeruMvXSxatIiyPXXq1wgnqSCAJ0+p6EYkAQKFEzDfEJKm7wqPBA8gkA4Cy5Yto+rqagyc0tGdOWWBwVNOuGBcLgQ0j5wlG6meWWpspHUDGh+Sjakv9OXBcWjVcDP5ZLtfJa2+4mi0SDY+tMaZj6RXylejVWOjiSNpzRSHp+vWr1/v7aW/meLwdXPkq9W0N58SF6me/WhsNHqNpqR9YvCUtB6DXhAYRALm5cG80R9PSeAAARAYSID/bfAO/TxdF/XS34EtcCVtBLDmKW09inxEAljzJCKiG264gS677DKaNm2abAwLECgzAvfee2+Y8fz588ssc6RrCGDwZEjgs2wIYPAkdzXezyUzgkV5EsB7Icuz392sMW3nEsE5CIBAuNFfc3NzuPEfpu9wQ4BADwEzXffoo48SXqhd3ncFBk/l3f9lm7292JHL2c4ZkmTj1vtsYy+6HMw4LoO33nqLPvjBD9Jjjz0W3idu7KhzW6tPBq42+zzfOKzV9hOVj12fbxzJr1sfFUfSGtXG9eueD2abpN0HzMIcLif7nL9dN3HiRNq1a5cxDz9tG77gnptrdiPXxj2PaqO9DwqN42pxz6O0uTZ87t4Htq7ElwMcIFBmBIhIzLipqalgGx8+WERDQ0NWLT7iZPKxd+/egHm1tbUFmWxscXFo5XiSFqlew9VXHI0WyUbiqtGqsZF0aHywjaTXVxzJj1Sv0WpyfuGFF4LRo0cHx44d40v9Dk0cHzYSVxblI44PH6xFo7cfyASdYM1T4oe/SCBXAljzlBsx3veJ3xa/bt06TFXkhg7WKSHA03W8GSY/ebrkkktSkhXSKIQApu0KoYe2IFAGBHjzTJ6+493HcYBAORIwm2Fi4FSOvR+dMwZP0VxwtcwJ8Hy9dEg2Uj3719hI6wY0PiQbqT7b5pk2pzi0arhJ+bAPSauvOBotko0PrXHmI+mV8tVo1dho4kha+dt1jY2N4WaYHDPq0MTxYSNpZW0+4vjwwVo0eqN4JuEaBk9J6CVoBIEiE+DNM+fMmUO8eSYOECgXAubbdddccw02wyyXTlfmiTVPSlAwSw8BrHnKvy9588wJEyaQeQ9e/p7QEgRKnwBvhnnw4MFUP0Ep/V4oTYUYPJVmv0DVIBLA4Cl/uGbzzL1794Z7QeXvCS1BoLQJmM0wn3rqKTx1Ku2uKoo6TNsVBTuCljoBH3P+PnwwJ2ndgI84Wh88fbd69eqM03dxaGUmkl6pXsPVVxyNFslG4qrRqrGRdGh8sI2k11ccyY9Un0mrma4z766T/Ej1Wm6SH4mrrziSDm0cjV72lcQDg6ck9ho0F0zA/uHAZffcDSDZuPWmvevXPTd25tP1Y9uzjVtvt7PLdju7nMnG+M5Wb2wmT55Mr7/+Ot1yyy05czM+NHEy2fjOB3H6fznC5stl+9xmZZdtG7ucyYav23Zcts/tdnbZtrHLmWy0cUx7Y3/rrbdSdXU11dTUiLpMW1sPl+1zY2N/ujZR9tI114ft35RdG8mn3c4uR7Uz9fypiWPbJ72Mabuk9yD050wA03Y5IxvQoL29nUaMGEGYvhuABhcSToDv7alTpxKm6xLekYMsH0+eBhkw3INAGglUVVVlnb5LY87IKf0EeLqurq6OzHRd+jNGhvkSwOApX3JoVwQCx6lzxxqqH1NJ/PRoyJBKGlO/gn62o5O6i6Cm3EOa6btNmzaVOwrknxIC/B5H3hCWp+twgEA2Ahg8ZaODupIi0L3/CVpw1Vqib6ynjq6Agq4d1HD6Vvqnq75Lzx72O3yS5vcZjGQj1Wt8sI206NJHnHx88FvlWduCBQvowIED4b0Sh1YNN00+klZfcTRaJBsfWuPMR9Ir5avRqrHRxDFaebqutraWeENY95D8SPUarRobo9XVZ5/70OLDB2vS6LW1J6mMwVOSequstb5DL2/8N1p5wVdpxnUXUQXfuUMr6KJb5tGiC7bQxu09v7zLGlERkufpu2nTptGSJUuKEB0hQcAPATNd19zcjC04/CBNvRcsGE99F6clwTdoc/14mkr30+6GsTS8L61M1/sMBhSwYHwAkoIu8C8efmkqrxPBdEdBKNG4SAT45df87sYVK1YUSQHCJo3ASUkTDL1lSqD7Ddqzs4NoZHT+nTv30J+6iYbjWWo0oEG8ytN3jz76KM2cOZNGjRqFDQUHkTVc+yfAG7/y61f4m6M4QEBLAL9qtKRgV1wCRzuobVdnbBp8zPn78MEJS+sGfMQp1MfIkSNp4sSJ4mtbCo1jbgDJj1Sv4co2kh+pXuNDYyPdAxofGhtf+Uh6fcWR/Ej1zIQHTtJ0neRHqtew19hIXDU+NDa+8tHoZT1JPDBtl8ReK0fNhzdT/XlX0JrrWiOn7a7YeRO1bZhOVdafAzw9hwMEQAAEQKB4BIIgKF7wQYyMabtBhAvXHgkMq6QRF1Tk5DDTP9qkrXlKkl7WOnr0aNqyZQvxdF4pH0njmul+LkXGSWBr3tPI/JLCNglc7fuR9ab1sP5OT2uKyCsVBIaeRmePrMyYSsXIs+l03M0Z+cRZwdN3y5YtizMkYoFAzgTuueeecKPXnBuiAQjwl71BAQSSQWAYnTHiHDILw/s0hwvJD9IFIyppWN/Fwgs+5vx9+NBk4iOODx9G64033kjr168nfiu9e/iKI/mR6l1dmc4lP1I9+/Vlk0mjue4jjg8fRk+2T19xJD+Z6vnbdfx+Rt7oVXNk8mPaSvVs58vGxMz06SOODx+Z9KXlOgZPaenJ1OfxXjp33Ndo+q5ltHjVi3SU8+3upG3fuY8W7PoK1f9jFf4SKJF74NRTTw23LeBv3/E2BjhAoJQI8IauvC8ZL2Yu9anlUuKWJC3d7Stp3LiV1O537+R+CLBgvB8OnJQ2gcPUvvlxavz2Arr/2Z5v3lVMW0rL53ydJl5YoR48JXHdQBLXZPA7wt7//vfT/PnzS/K2StJ9kCSt3NmlrJfvy/PPPz/c3LXUtbr/cEqZq6u1eGy76fDmu+naPdfSz6efp/69EKU/2zUMnrLRQV0qCeAH0OB1q82W/8IfP348rV27lngn8lI7bK2lps3VkyStrL1U9fJ7GPl1QvYXGkpVq3sPlDLXKK3F08sbJy+gPTP+J02vem8maQVfx7RdwQjhAAQGl0BSnjoxBVurmb7jv/RLcfrO1jq4PVi49yRpde+DwrP344EH8zxw4g1d7em6JLFNktai3QeH/1/a+IeL6NJzowZO/FRqPlUO+Qd6oKWFHqi9oPcl8+OofvU26jzcTk8/UEuV4YvnL6DaZc9RZ4apPwye/Py7hJeEEbAXRHI52zmnJtm49T7b2BvNDWYcHwxsrczgP//zP+kvf/kL8dvqNUw0Nr4YsNZsOfuK4/qRzqMYSFqj2uQTx1cb9z6Q/Lr1g5EPr3M666yzaNeuXey+78hVKzdkvfbh6nfPfbXR3gfF0ObmzOcuW1tX9vJeaqk9t2dgUzmbWvYf71njuqxnYHPuAzvoL5EOuunw9mfpD5M+T+dmHd2spzu+u53O+efnKAjepY7Wz9O2b1xMlectphe/sIT2BV105KXbiZbeSAvWv0qR46cABwiUGYGeByTZk25qaspuEASBZCPVcwCNTUNDQ1YtGh+SjVRfiNY///nPvEte0NbWpsrXhxaND4mrJmdNHB82PrTGmY+k1weTXPLZuHFjMHr06ODYsWPcrN8haWVjSa9Ur/GhsfGhVRPHVz4avawn09G1rzmYXkFBRd2/BZsevDtofOlQJtPe668HrXVXBnWtr2ew6woOtc4LKujC/jaHWoO6ioqgpvGloMu07HopaKypCCrqWoOoqFjzFDl6xcU0E0jSGoe09AN/NbypqYnWrVvXb8okLfkhj9IlYF5czdN1/BohHEki0PPi9yvuf5emNz9BKyadlX0BePduWvnffkxn//huGhv5olOetltA512xia5rfYoaxp7WAyN8g8VU2rloM20wi8zZ14SxtGDkWuetFj1Nsj7YShJiaAUBEChdApMmTaIPfvCDfdN3pasUytJGgDds5Y1bMXBKYs+eSqPG1VAFfZIuOf/D2QdOvHvNy7+hlk9V06jIgZOd/zk04ozCdgbE4MnmiXJ6CXR30o7V9TSm93UBQ4aMo/qVT9COzuOROfN8vXRINlI9+9fYSOsGND4kG6lep/Ugzbnyk1RZv5kOR8BbuHAh1dbWUnt7e0TtiUs+tGh8SFw1OWvi5G/DW3OspPoxlb2LWodQZe0yero9iq7uXpK0SPUaJmwjsfUVR/KzaNGicMPWuXPnnrjBwtJhan96GdVWDuldV1NLDzzd3rN/nGPJp1IcqV7jQ2MjcdX40Nj4yuf+hnnUMuOCjD8TWIvu2Eo/2boneu1Rn4N36OWt2+hT4/6WhvddG7wCBk+DxxaeS4bAcdq/fjFdtYroG9s7QlVdHXfR6Vvm0VX/c2vkL/qSkZ4YIYdp9+r7aOMfevhGyT7jjDNozpw5VKrfvovSXLxrx2l/y3yqnrqFTm/YQUsaGijo6qD1I3dSbfX8ngW0xROXiMg8XffDH/5wwLfriHrZ3vs6Xf3sIWpoWEJHnr2aXr/3y3TVA9syDqASkXRJiTxOh/+whWavfDFvVd2drfTAxi6aUk20q60je99076GtLR+icaNOzTteTg3N2ih8gkBqCYQL/z7etxjQLBjvamsMairmBa2H+pYIphbBYCbW1fG7YFXdN4Olv9uadYGl0XD99dcHq1evNqf4jFqQnGmxaqbroDiAwOLFiwP+b8ARLg52FgwHbwdtjZMDws+DAbjyu9AVHHlpVTDt458Pqj+fedF1Vt9de4LmWXVB875DJ/pm385g1YNPBvuifmRzv17ZGLRF1fUFMgvGJweNbW/3XQ3yWDCOJ085DTVhnEgCRzuobdf7aeTZp/WbMx96+tk0kjbRxu0HEplWSYju3k2rvvEv1DZuHt026r+qJGmn71TO0mo09DyavrGDOhrGRk5BDHjHY1o55JkXv1eR3684cLqOiIaPpYaO7ScWC+cZA82yEDi6nR75p+/SSUvm0bW5Li3ihdrjKmnIFT8guu2fadJHhlHlpz9H1Z2r6NsP/Qd97obx9JEBIxftFgVZNOdYNUBCju1hDgIlT6D7T3toZ8/bXCK0dtDOPW8MmEv3MefvwwcLltY5+IiTt4+hZ9CEVf9G9479SDgw3bDnrQjGJy5xHJ6+a25upqVLl56osEp5a8nRh8SV3UlapHqND0t2xmJ/re+jmq8O3MfGhxYfPjiJ/noHpuUrTpQfnq7j9yryeqfHH398YHDnyv3330ed2xpp8YKXaPryWVQdsdg4Ko7tRqpnWx82EldfcQrTepB2PPIv9OA586ni5S30HhuUptz7h0Pwq3tpUhWvXhpKwy6cS78KOuhXDZOoaljUsGUoDR/7L/SE+aZcxjhsdy91BD/tv/t4OKDuoI12e+EPmCgVGcOiAgSSR6Cbju57mfpvi9f/B1nnb35Oa60F4lE/OPiafd0uMxO33nCy7Vwbu862t6/b5cGMY3xn0mFft8tr1vwvqqjo+dNyzdqfm6q+TzdnruBr/O07Pm655ZZ+XE1DO2/Xh11n27vX7XPXh93OLrttTJ35jPLjtrHP7XZ22baxy5ls+PqaNT+k/euX04Jd4+m8o/+bfmTds3Y7u2z7tsuZbHrinPiyBLfJ1C6Tj0z27nX7nMv2ue3bLts2dtm2mTZtGlVXV1NNTU142bbjsn3OL5BtrJ9PlRfPpqe/dCPN+lxFyNW2sct2HFM2n7Ydl+1zY2N/ujZR9tI114ft35RdG8mn3c4uR7Uz9fzZE6eJju74Id3+5BV042eP0vAhtkXKyicm/VACgTQSMHPcJ9Y4mDVPkfPcaUQQV045rsfZu3dvuHkmf+KQCPSuIamoCea17juxkZ/UrMzqX3jhhXAzTN6YNaeja1/QOq8moIpvBs373s2pKYxPEOjZ1PLKYOn2N3su5vgz4YSn0i/hyVPKBsNIxyUwlIadcS5d4F7GedEJmOm7e+65p+haSltANx3dvYa+OfYBokX/g+b3TpGWtub41dnTdfxexZyOoR+hsXfWUx210A82vjJgGj8nX+Vq3P0qrb/rXnrltrvoxgvfn3oKGDylvouRYLgwvCITh8oBC8kzWeK6fwJm+o53H8cRReA4dW77fu/AaR09PP18ynX9bZTXNF7jzTDt6br8cuyUvxKfn+PUt+p+uZV+sHIHPXvHxfRfwhfrDqEh7/kkzdjUSZ33X0F/PeQrtLL9ndRwwOApNV2JRDISGFZJIy44OGBheM9C8uidZqX5fY4l2Uj1Gh9sIy0S9RHHhw/Wqlkwznb24X77zocWjQ+JK2uU/Ej1Gh8Zbbr30+b5V1HlxT+n1744Xhw4+dDiwwfnI7H1Fcf4Md+uu/POOzl832Hq+y7wLtTtK2nckFFUv/mN8HJ/rRfSdRGbLEb5sX1K9Wzrw6a/VlvBibKPOPn4GFo1nTYGAQXWfw1LbqfGmgqqqGulQ+4i7ROSE1nC4CmR3QbROREYeg6NmzWedi1YSqt29+zO3N35HH1n8TLaVXcj/WPVe3NyB2O/BMz0HTbPtLkepB0PzqIr7uug6c2P0vjzP4gnTjYeq2ym6/jddZrpuqFVk+jepafTmtVP0u6j3T2eeKC6pIHWfOlm+u8X5TjlZ2lBsYwIlP6yLCgEAQ8EjrQFrY11QTVRuEiZ6Pxg2tLmYHsHFod6oNvjosDFodg880RPhBu49t2r5p61PrGZYx+sjJth9llEFLo6gu3NS4NpFYZpTVDX2Bq0Hcm6w2KEI1zKSqDAnwlZfRe5cgjHL6OxIlIFgfBdVrjtS+9G2LdvH5155pnU1tZGVVVVpScQikqOAE/X8Z5OW7ZsoVNOOaXk9EFQeglg2i69fYvMCiCQz5y/G86HD/YprXPwEceHj0K1mum7KVOmEE/FZDskvVK9RivbSH6keo0PjY10D2h8aGx85SPp9RHnwIEDdM0110S8u44z7Tk0cSSt7EnyI9VrfGhsfGjVxPGVj0Yv60nigcFTEnsNmgsmYP9w4LJ77gaQbNx60971654bO/Pp+rHt2catt9vZZbudXc5kY3xnq5dsfMThb99VVFTQrbfeaqQMyNlHHOPc9sVl99zYmU/Xhq+7bexzu51dtm3sciYbxBl47/NmmH/3d39HI0eONNgG3Ctabn0OIv6NZeofuw3iDOyfKG4usySfY9ouyb0H7XkRGDJkSPiNkLwao9GgE+AnCuPHj6e1a9di+m7QaSczwKZNm2jBggWYrktm96VCNZ48paIbkQQIpIcAf2OK30s2depUcfouPVkjEy0BHlzzwIkH11jnpKUGO98EMHjyTRT+UkFA88hZspHqGZTGRlo3oPEh2Uj1cWvl95Lxhoe88WHUIemV6tmnxFWTsyaODxsfWuPMR9JbCJP6+nqaPXt2+FRS8iPV4z5gAgMPDTeNjXQfDIycnCsYPCWnr6AUBMqKAL+2Zf369cTfqMIBAkygpaWFXn/9dZo8eTKAgEBRCWDNU1HxI3gxCGDNUzGo5xfTfBX9qaeeUm2AmF8UtEoCAbOVxd69e4m/mYkDBIpJAE+eikkfsUEABLIS4G9S8beqlixZktUOlekmwFtX8JPI5uZmDJzS3dWJyQ6Dp8R0FYSCQHkSmDFjBrW3txN/wwpHeRJ47LHHwsTNi6TLkwKyLiUCGDyVUm9AS2wE7MWOXM52zqIkG7feZxt70eVgxvHBwNbqi8Hjjz9Ol1xyCY0bN4546sYXA9aaLWdfcVw/0nkUN0lrVJt84vhq4/M+4Knb5cuXh3s6sT5zuFrzZZCrVhPH6DDnGm2FttHeB4XGcdm65yZnKY7L1rZPfLnIr4dBeBCInQARb/OU/WhqaspuEASBZCPVcwCNTUNDQ1YtGh+SjVRfClqbm5sDfv/dsWPHRG6afCSumpw1cXzY+NAaZz6SXi0T7uvRo0cHW7dujfw3IPmR6tmppDVObpJeH1rjzEejN7JjE3ARC8YTP/xFArkSwILxXImVjv0NN9xAl112WbgOqnRUQclgEbj33ntD1/Pnzx+sEPALAnkRwLRdXtjQqDgEDlP75pVUP6YyfLkvD4Iqa5fR0+2HiyMHUWMn0NDQEE7hYPuC2NHHHpDXuG3bto3mzp0be2wEBAGJAAZPEiHUlwiB47S/ZT5VT91CpzfsoK4goKCrg9aP3Em11fOpZf9xrzrt9QuZHEs2Uj371dhI6wY0PiQbqb5UtPLu47xxJr8QNtvLgzX5SFw1OWvi+LDxoTXOfCS9EhNe28Zr3NhPtl3EJT9SPTORtMbJTdLrQ2uc+Wj0sp4kHhg8JbHXylFz9yu08QctRNfV0oyLKii8cYdW0EW3zKNFF7TQ7Ie2Ep4/lceNwYvHL730Ulq4cGF5JFxmWZptCebMmYN3G5ZZ3ycpXax5SlJvQetAAt27aeWEsTSDFlHbhulUpfhzAGueBmJM2hX+BTtlypRw7RO+vp603suul79Z99prr6meCGX3hFoQGDwCJw2ea3gGgbgIvI9qvvp5OlcxcIpLEeIMLgGeyuFfsmeeeSZhx+nBZR2nd17L1tTURLyjPA4QKGUC+HVTyr0DbQKB47R//XJasGs8zRp3Ts9UntBCWy2tPWA/ko1Ur/HBNtK6AR9xfPiIS6vhxq/o2LhxY/iSWHf9kyYfiauJw5+ZDk0cHzY+tHIOkhapXuODbSS9UXEOHDhAM2fOpEcffTR8FU+UjdsPko1Ur9GqyVkTx4eNxFWjVWPjQ6uWLdsl8cDgKYm9Bs1E1E1Hd6+j+bP/P/rG2nk08SMnD6DC03NR/7Gh/UOIy+6560yycetNe9eve27szKfrx7ZnG7febmeX7XZ2OZON8Z2tXrIpRpyamhq66KKL6B/+4R/69aGk1c7TLts52OVMNogz8J7Ml9uECRPCgTC/ksccti8uu+fGzny6NnzdbWOfm3b2p+sjyl665vqw/ZuyayP5tNvZ5ah2pp4/SymOrSvpZax5SnoPJlb/XmqpHUPXNP1HlgxmUXPHcppU4c4u88BpDX1z7ANEi9bRw9PPnQUXLQAAFsVJREFUp2FZvLhVWPPkEkn2uVn/dNNNNxEPpnAkjwBP1f3617+mFStWJE88FJclAQyeyrLbk5z0cerctoLunPhIXgMnzhyDpyT3f7R2/mo71j9Fsyn1q88991y4lxOvc+KtKHCAQBIIYNouCb0EjT0EuvfT5vlXUeXFP6fTlz+W8xMnYEwvAbP+ib95565/Sm/Wyc+MB728CaZZ55T8jJBBuRDA4KlcejrxeR6kHQ/Ooivu66DpzY/SfZPOy2mqLtf0fSyY9OGDdUtrGnzE8eEjLq0cJ0ovT9lNmzYt3P8pqt69BySumeLYfjRxfNj40BpnPpJeZsKD3HvuuYfuvPNOstc5Gb4+uGl8SFrj5Cbp9aE1znw0ek1/J+0Tg6ek9ViZ6u1ub6H5dzxJRC/SymvOpve4i8Er59Pmw91lSgdpGwIzZsygN998k7Zv324u4bNECTQ2NtIHPvABwj5dJdpBkJWVANY8ZcWDyjQSwJqnNPbqiZx4Koh/IfNUUNQTjROWKBWLAL+37nvf+x6tW7cu6+tXiqUPcUFAIoDBk0QI9akjgMFT6rp0QEK82SLvGdTS0kK8HgpH6RBob2+nESNGYHPT0ukSKMmDAKbt8oCGJuknIK09YAKSjVSv8cE20roBH3F8+IhLq4bbrl27wrU0vKYm0wJyiasmji9ukh8fWuPMJ5Ne3ghz6tSp9K1vfUsc1EpMfOWTSSv7N4ekRapnPz5sfGjVaPGhleNo9BrGSfvE4ClpPQa9XgjYPxy47J67QSQbt960d/2658bOfLp+bHu2cevtdnbZbmeXM9kY39nqJZtSi/PWW2/Rxz72MVq2bBm4ZfjlHXU/2f0YVZ/vfcBrnOrr68NF/Z/4xCcG/Juz49r3oV22bexyJhtJq2lnf7o5Z4pjt0GcgT+bori5zJJ8jmm7JPcetOdFANN2eWFLZCN+6jRnzhzi3auxMLm4XYgX/haXP6L7JeBu3ezXO7yBAAiAQBEJ8AuEFy5cGA6cPvzhD9Mll1xSRDXlG5oXiD/zzDPhAvHypYDM00QA03Zp6k3k4o2A5pGzZCPVs1iNjbRuQONDspHqS0mrRoudDy8YX7t2bbgZI38TzxwS11zjGL/up63FrTPnko0PrRxLiiPVa3ywja2XF+8vWLCA+MkTD2a1Pnxo0fiwtYbiIv4n+ZHqfeXsQ6tGi698NHojcCfiEgZPiegmiAQBECiEQFVVVbj2iafueNEyjngI8GCVv/XIg1d86zEe5ogSDwGseYqHM6KUEAGseSqhzohZinkB7UMPPdT3FCRmCWUTjtebXX755eGgFdOlZdPtZZMoBk9l09VI1BDA4MmQKM9PLFwe/H43C/U//elP0+zZswc/ICKAQMwEMG0XM3CEAwEQKC4B8woXHkThGBwCvEgfA6fBYQuvpUEAg6fS6AeoiJmAvSCSy9nOWZpk49b7bGMvuhzMOD4Y2Fp9MvChzfjgRcs8bcfns2bN6rvz+NzYRGmPuhZXG+ZaqtpcBrW1tbRlyxbiQao5XBvpPE7Wud6zRpvJzZxr+qfQNtr7oNA42v6R4rhsbfvElwMcIFBmBIhIzLipqalgGx8+WERDQ0NWLT7i+PARl1aOI+mV6tnHwoULg9GjRwdbt27NyFfyI9VrtGpspHtA40NjU2g+3/3ud4Prr78+WLRoEYfLeBQaxziW/Ej17McHW00cHzY+tHLOkhapXuNDy5btknhgzVPih79IIFcCWPOUK7H02puXCPMu5FjUXFg/P/fcc7R06VK87LcwjGidEAIYPCWkoyDTHwEMnvyxTIMnDKAK70UeOM2dOxcvYi4cJTwkhADWPCWkoyAzXgL2+oVMkSUbqZ79amykdQMaH5KNVF9KWjVaNPkYrrz/UEtLy4BNNH3F0WiRbIxW1pTpkHxwO8lGqo/yETVwkvTmEycqb8mPVM8+Ja1RObtaNHF82PjQGmc+Gr0uy6ScY/CUlJ6CThAAgUEjwAMonrrjTTTtXcgHLWBKHEcNnFKSGtIAgawEMG2XFQ8q00gA03Zp7FU/OWEwoOcIVnpWsEwfATx5Sl+fIiMQAIE8CfCicTyBkuFh4CQzgkW6CWDwlO7+RXZ5EvCxPsGHD5YvrRvwEceHj7i0chxJr1SfTas9gOJvj2U7NHF82Ej3gIaJxkaj9a677hIXh0t6NXF82Gh8SFp9cdNokWx8aI0zH41e1pPEA4OnJPYaNBdMwP4hxWX33A0g2bj1pr3r1z03dubT9WPbs41bb7ezy3Y7u5zJxvjOVi/ZpCkOD6AmT55MjzzyCPFTFnNE8bfzjqpPEzdm8aMf/Yi+/vWv973o183Z5pEUbkan6Ss7B7ts7KRrXB9lY9qXaxw7/6SXseYp6T0I/TkTwJqnnJGVbQNsY3Ci6/kbifxiZX6tDS+wxwEC5UwAg6dy7v0yzR2DpzLt+DzTNgOoO++8M/w2Xp5uEt2MB0y///3vw9fa8OttcIBAuRPA4Knc74AyzB+DpzLs9AJTfvvtt2nOnDll97Jbzptf8vvmm29i4FTgPYTm6SKANU/p6k9k44mAtF6Bw0g2Ur3GB9tIiy59xPHhIy6tGm6afCSudhzzMuHXXnuNbrjhBuJBhV0fnmT4n0aLZJOL1gwywstSHLv+wIED4YDxox/9KK1YsYLMEyfbJlMsSa/Ghw8bjQ9JK+co+ZHqNT40Nj60auL4ykejl/Uk8cDgKYm9Bs0gAAKxE+DBA/8yuOyyy2jKlCmp3kyzvb2dxo8fHy6anz17duysERAESp0Apu1KvYegzzsBTNt5R1p2DvlbZ7yNwR133JG6FwrzwvAlS5bQ2rVrqaqqquz6FgmDgIYABk8aSrBJFQEMnlLVnUVLhheS33PPPeE6qBkzZvRNaxVNUIGB7fVNDQ0NdOqppxboEc1BIL0EMG2X3r5FZlkI2HP6XM52zm4kG7feZxt73cBgxvHBwNbqk4EPbbYP1sZa7Wtcznbu5sNf1//sZz9L//7v/943jef6cNtozqNsJK1RbVwt7rndZufOnXT55ZfToUOH6Atf+ELfwClbG27Ph2vD50m7D3pTyZgP52QfUef2NS7b59w26ty+pmmjvQ9crbnGcbW459p83PvA1pX4coADBMqMABGJGTc1NRVs48MHi2hoaMiqxUccHz7i0spxJL1SvUZrLnFeeOGFYPTo0UFzczM363dotEg20j3AASUfUTbHjh0LVq9eHVx99dVBW1tbXj76Jdt7IunNR2tUHMmPVM8+Ja1sI/mR6jU+NDY+tGri+MpHo5f1JPHAtF3ih79IIFcCmLbLlRjsNQR42ovfi7dt27bwyUuprxfip00zZ84kXhDOu6mbb9NpcoUNCJQ7AQyeyv0OKMP8MXgqw06PMWUelNx999100UUX0Y033tg3BRajhKyheK3WQw89FO7dxAveS32QlzUZVIJAkQhgzVORwCNs4QS697fQjMpRVL/5jcKdOR7sNQJOVd+pZCPVsyONjbRuQONDspHqS0mrRosmH4lrvnFGjhxJ69ato/POOy/8uv+sWbP69oVin1GHpNeHVt63qba2Ntwl/Ytf/GK4d5M7cJJ0sHaNjaRX48OHjcaHpFWTsyaODxsfWuPMR6M36t9DEq5h8JSEXoLGgQS6X6X1dy2klZ0Dq3AFBIpNgKfAJk2aRFu2bKF33nknXIzN74XjAUzcB8fk16vwvk3vf//7Q001NTVxy0A8EEgVAUzbpao7yyWZw7R75Vz6+zWv0IefPUKXtj5FDWNPUyePaTs1Khh6IsADmCeeeCIcxEycOJG+/OUvEz+hGsyD96L62c9+Rs8++yzxe/kmTJiAdU2DCRy+y4oABk9l1d1pSLabju74Dl111X/QN1d/klbU/JBGYvCUho4tixx4Ufnzzz9Pq1atotdffz18OsXbHbjTZ/nC4PVWW7duJX7KVV1dTVdffXXqNvHMlw3agYBPAif5dAZfIDDoBI5up0du/xGds7yZJp7VSisGPSACgIA/Ajydd8kll4T/8dOo7du3hzuV/+u//mu4WzkPpM455xw67bTTiPeRynbwK1SOHTtGr7zyCv32t7/t2/Gc1zM99dRTJbdQPVsuqAOBpBHAmqek9VhZ6z1IOx65j5688nv0nUlnkXTz8vRc1H+M0F7IyGX33F3cKdm49RyDfbh+3XNNHLeNfe4rjqRVG8fVxuf2NV9xJG6aOK62qHMfcTJp4R28ee3RJz7xCeLB07XXXsuY6cc//jFdc801ffcuf2vvM5/5DF188cXhN/jMPX3dddfRL3/5y7DN9ddfHz5t4kEX+2TfcecTCun9t2X3OV93tWRiYnzwp2TDPn30j6Q1U5xctJp87DYuE02cqDZ8zT4kJpo4EnttPq42W2fiy0ncnAqay5HAu8G+5m8GFdUPBtuPdIUAutoagxq6MKhrfT0nINgkcyCuuDbF8xVH8iPVMwHNBn6SH6me4xRq8+c//zmYO3duuIklb2qZ6Sg0jg+tRpvE1odWjV5NHEmrrzgaLZKND61x5qPRa+6ZpH1izVPih79JTWAvtdSOoWua/iNLArOouWM5Tao4iXhbghtGr6RP/mIt3X7h+8M23e0racKI72HNUxaCqAIBEAABEPBPAIMn/0zh0TuBd6h95TQaMeOxzJ5rGqltw3SqkubyiMLpkCAIMvtCDQiAAAiAAAhkIaD4VZOlNapAIBYC76Wq6T/lF9L1+6+rrZFq6EKqa32dgo26gZNWrrtuIKqdZCPVs0+NjbRuQONDspHqS0mrRosmH4mrrzgaLZKND61x5iPplfLVaNXYaOJIWn3F0WiRbHxojTMfjV7Wk8QDg6ck9ho0gwAIgAAIgAAIFI0Apu2Khh6BCyWANU+FEkR7EAABEACBfAhg8JQPNbRJNAHsMJ7o7oN4EAABECg6AUzbFb0LIKAUCUhrD1izZCPVa3ywjbRuwEccHz7i0qrhpslH4uorjkaLZONDa5z5SHqlfDVaNTaaOJJWX3E0WiQbH1rjzEejl/Uk8cDgKYm9Bs0FE7B/SHHZPXcDSDZuvWnv+nXPjZ35dP3Y9mzj1tvt7LLdzi5nsjG+s9VLNoiD/nHvkWz3k32/cNk+t9vZZdvGLmey4eu2HZftc9PO/nRtouyla64P278puzaST7udXY5qZ+r5s5Ti2LqSXsa0XdJ7EPpzJoBpu5yRoQEIgAAIgIBFAE+eLBgoggAIgAAIgAAIgIBEAIMniRDqQQAEQAAEQAAEQMAigMGTBQNFEDAEpHUEbCfZSPUaH2wjLbr0EceHj7i0arhp8pG4+oqj0SLZ+NAaZz6SXilfjVaNjSaOpNVXHI0WycaH1jjz0ehlPUk8MHhKYq9BMwiAAAiAAAiAQNEIYMF40dAjcLEIYMF4scgjLgiAAAikgwCePKWjH5EFCIAACIAACIBATAQweIoJNMKUFgF7bQGXs52zcsnGrffZxl43MJhxfDCwtfpk4EOb7YO1sVb7GpeznRczH0lrMbVFcUvafcD8zBGVj31fsF3UuX3N9eGrjfY+MLmYuHFoc3Pmc/c+sHUlvhzgAIEyI0BEYsZNTU0F2/jwwSIaGhqyavERx4ePuLRyHEmvVK/R6iuORotkI90DGq0aG0mHxgfbSHp9xZH8SPUarZqcNXF82EhcNVo1Nj60atmyXRIPrHlK/PAXCeRKAGueciUGexAAARAAAZsApu1sGiiDAAiAAAiAAAiAgEAAgycBEKrLk4C9RiATAclGqme/Ghtp3YDGh2Qj1ZeSVo0WTT4SV19xNFokGx9a48xH0ivlq9GqsdHEkbT6iqPRItn40BpnPhq9rCeJBwZPSew1aAYBEAABEAABECgaAax5Khp6BC4WAax5KhZ5xAUBEACBdBDAk6d09COyAAEQAAEQAAEQiIkABk8xgUYYEAABEAABEACBdBDA4Ckd/YgsciRgL8zkcrZzdi3ZuPU+29iLLgczjg8GtlafDHxos32wNtZqX+NytvNi5iNpLaa2KG5Juw+Ynzmi8rHvC7aLOrevuT58tdHeByYXEzcObW7OfO7eB7auxJeTuDkVNINAIQSwSeZAenFtiucrjuRHqmcCPjYc1MTxYeNDK+csaZHqNT40bH3FkfxI9Rqtmpw1cXzYpO0+YLZJPbBgPPHDXySQKwEsGM+VGOxBAARAAARsApi2s2mgDAIgAAIgAAIgAAICAQyeBECoLk8C9hqBTAQkG6me/WpspHUDGh+SjVRfSlo1WjT5SFx9xdFokWx8aI0zH0mvlK9Gq8ZGE0fS6iuORotk40NrnPlo9LKeJB4YPCWx16AZBEAABEAABECgaASw5qlo6BG4WASw5qlY5BEXBEAABNJBAE+e0tGPyAIEQAAEQAAEQCAmAhg8xQQaYZJFQFp7wNlINlK9xgfbSOsGfMTx4SMurRpumnwkrr7iaLRINj60xpmPpFfKV6NVY6OJI2n1FUejRbLxoTXOfDR6WU8SDwyekthr0FwwAfuHFJfdczeAZOPWm/auX/fc2JlP149tzzZuvd3OLtvt7HImG+M7W71kgzjoH/ceyXY/2fcLl+1zu51dtm3sciYbvm7bcdk+N+3sT9cmyl665vqw/ZuyayP5tNvZ5ah2pp4/SymOrSvpZax5SnoPQn/OBLDmKWdkaAACIAACIGARwJMnCwaKIAACIAACIAACICARwOBJIoT60iLQ3Uk7VtfTmCFDiJ8gDRlTT6t3dFJ3aamEGhAAARAAgRQTwOApxZ2butS6X6WWG66lh7quo18EAQXBIWq7+T20atQttKr9Ha/pSusIOJhkI9VrfLCNtOjSRxwfPuLSquGmyUfi6iuORotk40NrnPlIeqV8NVo1Npo4klZfcTRaJBsfWuPMR6OX9STxwOApib1Wlpq76fCzP6DZGz5Htf/4NzQsZDCcqibdRt+qe4UWNP6GDpclFyQNAiAAAiAQNwEsGI+bOOLlSeAN2lw/nqbS/bS7YSwNz9MLN8OC8QLgoSkIgAAIgADhyRNugmQQ6H6D9uw8SBeMeB91bF5J9WMqw0FQZe0yerodz5yS0YlQCQIgAALpIIDBUzr6Mf1ZHO2gtl3H6OiaeXTLM2fSra0dFARd1D7vVFr75fnUsv/4AAbhgnKzsNz6ZEN7Lp7L7rm79kCyces5Bvtw/brnmjhuG/vcVxxJqzaOq43P7Wu+4kjcNHFcbVHnPuJIWjiuFCdKG1+zDx9xJB9pvQ9sjlGso/rHbqPlZrfJJ05Um6j7oNA4vvJxtdm6kl7GtF3Se7Bc9B/eTPXnXUH3X9BIbRumU1XfsN/fdF65oESeIAACIAAChRHo+xVUmBu0BoFcCeylltpze7YbsJ4K9X9adCO1dP6ln+OKkWfT6f3u2mF0xohzqHPnHvoT9ivoxwonIAACIAACg0PgpMFxC68gIBE4kyatfpmC1ZJdb/3wv6Vx111Ia5TmMAMBEAABEACBwSLQ72/4wQoCvyBQOIHhNOLizxKteYa2H7YfMR2lfW37qfpL51Ml7ubCMcMDCIAACICASAC/bkREMCgNAifTR2qm0W0jfkrffnQ7HQ1FHafObT+h1c2foZunjOzd+6k01EIFCIAACIBAeglg8JTevk1fZsMuott/8UuaTw9TVbhO6v+hCx8+TlN/eS9N+sjJ6csXGYEACIAACJQkAXzbriS7BaJAAARAAARAAARKlQCePJVqz0AXCIAACIAACIBASRLA4KkkuwWiQAAEQAAEQAAESpUABk+l2jPQBQIgAAIgAAIgUJIE/n+SD0QJ63F4ZwAAAABJRU5ErkJggg=="></p>
<p style="text-align: left;">Which point is at the centre of a compression?</p>
<p style="text-align: left;">A. <em>x</em> = 0</p>
<p style="text-align: left;">B. <em>x</em> = 1 m</p>
<p style="text-align: left;">C. <em>x</em> = 2 m</p>
<p style="text-align: left;">D. <em>x</em> = 3 m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The graph shows how the velocity \(v\) of an object undergoing simple harmonic motion varies with time \(t\) for one complete period of oscillation.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_07.58.21.png" alt="M10/4/PHYSI/SPM/ENG/TZ1/12_1"></p>
<p class="p1">Which of the following sketch graphs best shows how the total energy \(E\) of the object varies with \(t\)?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_07.59.16.png" alt="M10/4/PHYSI/SPM/ENG/TZ1/12_2"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A high solid wall separates two gardens X and Y. Music from a loudspeaker in X can be heard in Y even though X cannot be seen from Y. The music can be heard in Y due to</p>
<p>A. absorption.</p>
<p>B. diffraction.</p>
<p>C. reflection.</p>
<p>D. refraction.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What region of the electromagnetic spectrum includes waves of wavelength 5 ×10<sup>–8</sup> m?</p>
<p>A. X-ray</p>
<p>B. Ultraviolet</p>
<p>C. Infrared</p>
<p>D. Microwave</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>The majority of candidates answered this question correctly. Candidates are expected to<br>recall the orders of magnitude of the wavelengths of the principal radiations in the<br>electromagnetic spectrum, as stipulated by the Guide. It can be argued that a more distinct<br>wavelength could have been chosen so as to avoid possible confusion with the area between<br>“soft” X-rays and UV but the statistics of the question do not indicate that candidates were<br>upset by this choice.</p>
</div>
<br><hr><br><div class="question">
<p>An object performs simple harmonic motion (SHM) about a central point. The object has velocity <em>v</em> and acceleration <em>a</em> when it has displacement <em>x</em> from the point.</p>
<p>Which ratio is constant?</p>
<address>A. \(\frac{x}{a}\)</address>
<p>B. \(\frac{x}{v}\)</p>
<p>C. \(\frac{{{x^2}}}{a}\)</p>
<p>D. \(\frac{v}{a}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pendulum swings back and forth in a circular arc between X and Y.</p>
<p style="text-align: left;"><img src="data:image/png;base64,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" alt><br>The pendulum bob is</p>
<p style="text-align: left;">A. always in equilibrium.<br>B. only in equilibrium at X and Y.<br>C. in equilibrium as it passes through the central position.<br>D. never in equilibrium.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>In this question the majority of candidates thought, incorrectly, that the ball would be in equilibrium at the central position when the string is vertical. The ball is obviously not in equilibrium since it is moving on a circular arc and so at the vertical position there must be a net force directed towards the center of the arc and so there cannot be equilibrium.</p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with time <em>t</em> of the velocity <em>v</em> of an object undergoing simple harmonic motion (SHM). At which velocity does the displacement from the mean position take a maximum positive value?</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Light of wavelength 600 nm travels from air to glass at normal incidence. The refractive index of the glass is 1.5. The speed of light in air is <em>c</em>. Which of the following correctly identifies the speed of the waves and their wavelength in the glass?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A spring XY lies on a frictionless table with the end Y free.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p>A horizontal pulse travels along the spring from X to Y. What happens when the pulse reaches Y? </p>
<p>A. The pulse will be reflected towards X and inverted. <br>B. The pulse will be reflected towards X and not be inverted. <br>C. Y will move and the pulse will disappear. <br>D. Y will not move and the pulse will disappear.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">What is the best estimate for the refractive index of a medium in which light travels at a speed of \(2.7 \times 10^8{\text{ m}}\,{{\text{s}}^{ - 1}}\)?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>0.9</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>1.0</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>1.1</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>2.7</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A ray of light travels from a vacuum into glass as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>In glass, light has speed <em>v</em>. In a vacuum, light has speed <em>c</em>. Which of the following gives the refractive index of glass?</p>
<p>A. \(\frac{c}{v}\)</p>
<p>B. \(\frac{v}{c}\)</p>
<p>C. \(\frac{{\sin c}}{{\sin v}}\)</p>
<p>D. \(\frac{{\sin v}}{{\sin c}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p style="text-align: left;">A transverse wave travels from left to right. The diagram below shows how, at a particular instant of time, the displacement of particles in the medium varies with position. Which arrow represents the direction of the velocity of the particle marked P?</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAY4AAAC6CAYAAAC5mKpzAAAgAElEQVR4Ae2dC3SURbbv/5M7h6NZ3MwoLEFQCScJXBCECQbkcQAVlQQlISjycohDooAPXoKjSQSG4IjIG0dmQBMIinAkCaMYgUAClyASiUEZIQ/k4UTCDA8JuY0yQ+qu/XW600m6k+5Ov77Ov9bK6u7vq9q167c73+6q2lX1C6WUAhMJkAAJkAAJ2EkgwM58zEYCJEACJEACGgGbjqO6ohCfpCVhRHQaSqtraFWfxfapQzBieQGqXAWwqhR5GcvxzG/mIa/SVJGrhFMOCZAACZCAqwlYdxzVxUh/9inMmP8+il1dYx15F5D3RjziZ63C3p/r3OAHEiABEiABHyVg3XEEdMWkzAwk9wqsq3bAXYh+Zx92zIxA67p3nPzUFkNTdiJ7/kAny+u4WPXfsX//Kdjbx7p27ZqOG0vVSYAE/ImAdcfhTy30ybZUo6poOz787rpd2pWWlqJnt+525WUmEiABEnA3AToOdxO2Jr/qCNYnvotz1u5ZubYhLU27eunSJSt3eYkESIAEPEvAwnFcR0XhB0iOvBuhwf3xTNoRXK6jSzWqSvcjc3kC7k3KQ6XpXlUxtidFG8ssz8KX+7/AUZnkrq5A4cfvITnyaWwoLKrJ0xmhkUnYVFjRxBCNpS6dERocjeSs4noT8pUo3bMaz3SX+51xT/xafFlh+Qu+/v3V2Ftao7XlhPyPP+DLVQm4J1h0W4S8iuuorijAJq1NIncTiqssB5SEw26siO+v1RvaPQEr9pTW6GZiNBVPpB1HZWmWBc+/GfNUFWDFE3FYc/wyvpk/HF2ChyA574KJZoNX6W0czM/Xrm/dsrXBfV4gARIgAY8TkHUcSv2szuWmqKjhKSr33M/Gz/vWqIRh3VXIyFRVckMpdSVXJXULViGdglXPxFx1RSt3TZWkTlFTM88oySJyyv+6Ve278v9USeoELW9Ip2EqYeU+dU4y3ChXua+NVCHdZqiscqlHksiYoEK6vaZyrxil3ChJVTHmPFfUidQpqmenCSqt5FpNmcvqyLKxKuq1nBq5Z1TWlPtqdVWX1ZGVf1CrDp+r0atGhlbHeZWbONioW7d4tTzziFHG1cNq+fDuqufkZSojt0RdFXXP5ah5w3+jYlJP1Mi5oa4e+YtKWnnQWEbdUFdPpKuEboNVUu4/LRh1V1FTlqh0rf4b6krua3X1v3FCpY20lFvTLCsvia++qrIyM2tYBquLFy9aycVLJEACJOA5AsYeR9VRfLg4D+EvP4uh7VsBaIX2g4ZhoOXceNBQLDz2Wd0J8+ozOJj5Lf59qhBF2q/9Vujw2BMYHBSIsLiNKEz7LQLRDgMj+6K91BTQAUNnz8Q47ELarqYmhoPwq9a/BBCEsIH9EGLpUiuLkLmxC+bMvr9Gbnv0+90kPICruGqoBuT+2vew8on+6CI9ieBeGDH/MxgMedhTGGAxId8BvR/obZTRujN692kLwz9vQY/BYdrkf8Btd6Bzq59xsuxcTY/iEr7M2ITNy8Zj0H+J3BD0fiQZew1nsT3nGCqF0aFUjAsEWvV7DOMj2iMAAWjdsTNC8D3Kyh0LYjb1Nh5+5BGt9S+9/DLY67D8IvA9CZCANwj8EqhG5Zef4L3j7TC7o4OxUgGd8dDT4Vg6Yyb2rtuB51OewoiHByGstcUIWP1Wtb4doWHAdu1h3BVB9e+LfwmLQ+a3MtpViE9y9uGvSavwDQYiRstbjcrCXGz/GXjQXLYV2kdMwV+2y4VqVOblYnvYPGRnxiHMqio/mUs69KbyGPZk3Ink3TsxKewmh4o6k1nmNqbPmIGbb75ZKz7myTHoG94H8nrrrbc6I5JlSIAESKDZBKw+Vu2X2godYhZjV8bbSI79B9bMmoTIvrOx/QfLuQb7pZlzVldo8w59k/bhX/8xBPMz56Gn+WbNG8MxFJWZZ1rq3wWO5uDgSScdRENpFle+Qlb+mSbmaCyyO/m2fm9DxIizYK/DSaAsRgIk4DICAbA1lFJ1DmWlBjsqaoX24VGYlLIdJYc+wPQBh5D8p4O1k+f1JWhy2yJ6WA+rvQ3gJ5RufAlj9wzE5r/MxKjHwo1DSWY5pqGfQqxJXI7tpglvuV/1N+QV/oig8PsRHZiPhS+m1J2I1+43IzIpqAcejG2Lb+bPxbz0AlSY58x/xNG8r2232ay7/W/q9zZMJaW38dbixWCElYkIX0mABDxNQOtxBIQ8gLjI69g87RWsLpCIp0oU7/0KFzsFAkcXIHKUxbYjdTS8gP1ZX5gfmAG3dcRd/9EKIaG3WywQPIn87K+MD1npSaS9j+whMzF1cNs6kmo/VKG87Hvges18RXUFig6V4brMEZz9Vls0h7AYJE8PB45vxOyHehmjm2Qu44m9COryayCoN0YlyP33MT/WNM9hcb+2Mgff3Yp7Yx9HV3yNzcljauY5ZK5jMnKD7rLhCG1VUTN3UvU1Psn7e50ejLXehkkKex0mEnwlARLwGgHzPPzVErVnWbzq2SlYhXSbotK+PaTSRsaqpNQd6ohEWllEVUlklTHa6qIqys1WezLfVUnDu6uQTiNV0sbD5ogjYzTRWLV82zsqQYvIuk8lLNulSq4ao6eU+mdthJPIrImcMkYzibya/OU5KqlbdxWVmFlb9sY5dWRjoorSysm9VJVbYoz10tpU536w6jl5ldoj97WIJpFtjBDT6jzxlUobaXFNoq++lzpNeYSJKerrZ3XuyPs17ZXr8Wp5Tk0UlkSDmeVK9FmO+l6LqDLJ6V4ToVUTxdape21kmNkQShUVFandu3dbXFGavqYLEln15uLFpo98JQESIAGPEviF1OYeryWT1AswKO4kZu9e75HJZPe0wzekylqVstOnfEMZakECJNCiCTRzcrxFs2PjSYAESKBFEqDjaJFmZ6NJgARIwHkCbnIcF5CXdD/C4zbCgHwsfOiRRrfVcF59liQBEiABEvA0ATfOcXi6Kf5dH+c4/Nu+bB0J6ImAm3ocekJAXUnAhwjUnLI5Kq24Toi2D2lIVUgAdBz8EpCADxGoPrkXadln8U3m5zhpXmDqQwpSFRKQbaFIgQRIwFcI/IiiT05g4PQYBLptyxxfaSv10DMBOg49W4+6+xcB2dX5wP9B9NPR2pY5SzccMu/K4F8NZWv0TkD2LWciARLwOoGfUJqRAbzwGsJ+DTwYexc2Z+SicO5gDA3y/O87OeO+pKQEp0+d0l6vXLmiHSh29vQZq6Qi+vVFSGgo7rjjTtx+e3t0v/tuhIWFWc3Li/onwKgqndiQUVU6MZSzalYXY8NzOei5ZCrCWwegujQNox9KRY+0bVg41Na+bs5WZr1ceXk58nJzcfDgQez8NBtjJ4xHREQEbmvXDm3btkWbNm1sbucvZQ0GA86cOYPzFRV1ZAy9/36Eh4fbLGtdG171ZQJ0HL5sHQvd6DgsYPjdW9meZxEmnx6DLXFdjROP4khGxWJph0X47O0YdHBTp0N6Fvn5+Xh33TqN6qOPPYa+/fq5pLdg6rV8fvBzbN3yIQYMHIgRjz6K/v37+50FW1qD6Dh0YnE6Dp0Yyik1ZcHsaMRvOmul9EAku2GvN9mWX06TlAd6ZFQU5JTJXr16WanfNZfEiRQVFWFTejouXbyIsePGaXWaDilzTS2U4ikCdByeIt3Meug4mgnQh4vLsNSTG4LxbsrQOlvzV/+QheeHJeLc3AxsM/VEmtkOeYDv2rkTK1eswJgnx3rlNEk5NkDOmzlZVoYXZ8xgD6SZNvVGcU6Oe4M66yQBMwEJwS3Do5PG1nEacjugwyCMiW2LeFnT8duuNo5BNgtq8s3Ro0fxxuuva5PYH2VkeG3OQSbNUxYtgjiQ15KSsOOTTzB12jR07NixyTYwg28QcNPIqW80jlqQgG8TuI6KvLeRvO5/oVO7VlZUbY2OoXcCR5dgxoI9FidOWsnayCXpZSx5803MnD4dv3/1Ve2h7Qtn1osD2bxlizYBP2TgIGzPymqkFbzlSwToOHzJGtSlBRH4CaVpv8OguPUoNmxE/D2/xYbSnyzaL/fjETk/H4ABxRviMajHPORVOracXKKdfhcXp8ndkZ3t1nkMC+UdehsdE4N9+Qewa9cuJCUmQhwdk28T4ByHb9vHrB3nOMwo+MZOAp9//jmeGjcea9evw7Bhw+ws5b1s4jA2pG3QJuzT33+fQ1feM0WTNXOOo0lEzEAC+iOw9p212gNYfsnrZe5AIqymTJ2CXr17QYau0jd/wIlzH/3qcajKRw1DtVouAS3yadcupwGI0/jmm68hE+B6cRqWjZV1Htm7dyHxlVcgvSYm3yNAx+F7NqFGLZxAdnY2kpKSHB7rF4cjcwTiNN5autRrUVOuMJ9MnMtwlTiPnJwcV4ikDBcSoONwIUyKIoHmEpCH/xtvvIGCggKIA3EkvTR7Ni5fvqw5DX9YWCe9JXEer6ekMOLKkS+CB/LScXgAMqsgAXsJiLMQpyFJHIg4EnuSDE9Jkp6GPzgNU5tNzkMWLHLYykTF+690HN63ATUgAY2AqbdhwmFvr8M0p+FvTsPEweQ8OOdhIuL9VzoO79uAGpCARqC4uBhDhw7FnDlz8OugX2mvhw4dapSOLJrbl5frdz2N+o02OQ8JL5YV50zeJcB1HN7lb3ftXMdhNyq/yGiPvWXoRn6Ft6Q1Dy2xzb74hWaPwxetQp38jICsAp8IcQYN/ronYEXGfpRWOb4iXJzGn9et02XIrbMGllDd6TNm4PVFi+ye/3G2LpazTYCOwzYb3iEBFxG4CWFxm1D23WdI7nULes7/DCWnT6Hs9FFkv94Bu2dNwugZH6DYTuchcyEvzZqFV5OSXHJuhosa6TExskVJcHAw1qxe7bE6WVFdAnQcdXnwEwl4kEAQwmJewYr5A2HIWYdNX16yq+5FKSkI79NHF9uI2NUgJzI9/8ILKDxyhGs8nGDniiJ0HK6gSBkk4DSBVmgXHIJAXMCx0xfR1ICVTIbLORby4GzJSUKO31q2DFPiEyAbOTJ5lgAdh2d5szYSqEfgOs6fPgkD2qJHcBvjsbH1cpg+ygNy9oyZ2gPTn9ZqmNrn6KtEWskGjjJsZ+96F0frYH7rBOg4rHPhVRJwE4GfcfJAQc1k+HVUFKRhyZv5QLfHMereW23WaZrXkAelPDCZjARk19+Q0FBtV10y8RwB7o7rOdasiQQ0AoacZIzokVxDoz0emL4cW8dFIby17d9xGdu2aQ9IPWyP7mkzJyYlYURkJPoP6O+T5414mocn6qPj8ARl1kECZgL/iZ7zHTtDXBa8vbt+vbbbrVkM35gJyLDd8pUrtRMO5bAqDuOZ0bjtDR2H29BSsD4IVKMybwEGxW2EwarCgeg6cTaeGfbfeHBoGFpbzeO+izJEJedyS+ht8497baqt0vuZhfGPPoKhYUHua5QbJPfq1QuRUVHakJWc6cHkXgK2+8burZfSScBHCAQgaOgCfH26AOsn3gX0mofs72SNhfydRNHutzEG2zE77mEMiN9k91oLVzVu186dLhyiaqytxTiQ8QLa7ZqP+OiXsaG40lVN8JgciTTbuuVDbkniAeJ0HB6AzCr0SiAArcOGYlJKOnbMHw7k/BGz1h1BlbPNMVTi8nXg+uVKG72buoJNUVRTp02re8Mtn1qhffh4LFg1Bz0Nn2FpeiH05jpkiEp6ZtJDY3IvAToO9/KldL8gEISuv30FCyODULxyJbaV/tRoq0pKSlBUVGSRp2bLkR5jsOb4ZRSvHIPewROxwYacS5eMCwFXr1qFpSuWOxxF9fe//x0ZGRktMkTVFGUl612Y3EeAjsN9bCnZnwgE3Ibu/UIAfIWs/DNWF+qJw5g7dy66du2K7777zqL1NVuOaMNfpmGwTZgUdpNFHuNb2cSvb3gf7cP2jExE9O3bIE9TFwwGA0aPHo0hQ4Y45ECqKwrwwYZMfBM4HLOfCoe+ZjlqqUgPTda7mBxw7R2+cxUBOg5XkaQcPydgWuFtwMmyc3WGqywdxpIlS5rFQTYuNKV//etfKDh82PTR4Vc5z6NRB3J0ASL/q3bjxS73jcH8TT9i3J8WYlJXvboNaD20BSkLtUg0h6GxgF0EGFVlFyZmIgHbBE6fPg1xHpbpuSlTMXfWbMtLTr2XX87y50gSh1M/tWvXrmGYqgQCZMYhTPv5eB0VhZ/iwz8txpq4x3B+/nosi7vb41Fk9fV29nPs6NHa2o6YUaNa5EaQznKzu5xi0gWBkE7ButBTv0r+U+UmDlYhI1NVyQ1rrbimSlInqJBO3VVM6gllLcuBAwdUdHS0AqC2bdtmTUiT1zalpyuxtfzdP2SIunjxYpNl6mcoLi7WdIiIiND0MBgM9bI00tYbJ1TayO4qpNMElVZyrV45fX3cvXu3mjZ1qr6U1om2HKqy28UyY4smUP0PfPvFSSDwYcQ93NnqnlIDBw5EVlYWDhw4APmF70y6erUKCVOM6xBkMZszazcCAwOxbds27Nu3D7GxsQ17Go0pFtAGnXq2BfA9ysqdjh9rrAaP3ZOJ8ksXL/KscjcQp+NwA1SK9DcClSje+EckZ1eia8J4PNihVaMNFAcif44mWSEu6xBenP6iVtTZFdB33HGH4w7DpGy1AVcuXgdwJ0I7enq5o0kJ173+ISVFOyWRmyC6jqlIouNwLU9K8ysC1agqzcOGpKcwYv5+3DlpFd6dHuG2cf8NaWna6XbOOozmoq+uKMT2lQuNDnLS03gkpGHUV3Pr8HT5sLAwDBg4ELKQksl1BHjmuOtYulWSPWdQu1UBvxVuzzYcMzByyBBEhbd32y8t6W08m5AA015L7rF3U20F0G0CkqfF4pER4WjvJz8r67P126+yBxtGx+FB2M2pyj0PkuZoxLKuJPDctGmY+NRTkDO1JdHerqQLrH1nLW6/vT3k2Fmm5hPwk98UzQdBCSTgLQKy6E8mcU1Ow1t6+HO9Y54cw0WBLjQwHYcLYVIUCThDYNWKFXhxxgxnirKMnQQkOu2ll1/G1i1b7SzBbI0RoONojA7vkYCbCUhvQxJ7G24GDUB6HW8tXsytSFyAmo7DBRApggScJcDehrPkHC/HXofjzGyVoOOwRYbXScDNBNjbcDNgK+LZ67ACxYlLdBxOQGMREnAFAfY2XEHRMRnsdTjGy1ZuOg5bZHidBNxIgL0NN8JtQjR7HU0AsuM2HYcdkJiFBFxNgL0NVxO1Xx57HfazspWT26rbIsPrJOAmArZ6G3Lw0IULF7RaZWt001btXbp0cZMmLVes9DrkwCx5FUfC5BgB9jgc48XcJNBsApvS022u25DTA+Xv7A/l2uv69eubXR8FNCRg6nX83/37G97klSYJ0HE0iYgZSMB1BGTfJFurxOVhtnr16jqVxcfH1/nMD64jIL2NlStWtMiz2ZtLkY6juQRZngQcICA74Da2Snz8+PFmaXPmzAGHqcw4XP5GHHVkVBR3znWCLB2HE9BYhAScISC9jYP5+ejdu7fN4pa9DvY2bGJy2Q05Wpa9DsdxcnLccWYsQQJOEbD3vA3pdZw9e5a9DacoO1bIdF5Hfn4+5MRAJvsIsMdhHyfmIoFmEZCIKeltPPzII03KkV7Hm2++2WQ+ZnANgUlxcXh33TrXCGshUug4Woih2UzvEpBdWafPmOHY+d/eVbnF1C69jlvbtOHZ5A5YnI7DAVjMSgLOEJDehuzK+t+DBztTnGU8QEAO0ZJFmUz2EaDjsI8Tc5GA0wSktyFnQcgQVKOpugKFH2/Bivj+2gmAocF3Y0TSe/iksAL/Lt2NT0p/arQ4bzpPwLSt/dGjR50X0oJK0nF40djVFQXYlBStPSTuiV+LLyuue1EbVu0OAteuXcPWLR9qK5Qbk19d8TlWPzMKcdt/QOdpmSg5fQplp/+Gj5/vjRv7khH+0AZcbEwA7zWbgIRJ/89WHvRkD0g6DnsouSNPVQFWPf0Gyoa9g5LTxdg18SLmPf1nFFZVu6M2yvQSgV07d2prBRrtbVSfxccLZmFl+XikrZiO6PD2MP1jBrQPR/TMJUibfjPKyqu81IqWUa2ESUsAg4RNMzVOwPT9bDwX77qYwE8o/Wgl3uvzAmYN7YAAtEL7oc9iTp+/YuFHpaDrcDFuL4qTNQKyVsB2qkbl/neRnN0K414eh/DW1v4lf43wyfG419ot24J5x0ECN998sxbAkJWZ6WBJ92R/bto0rH1nrU+eWMivonts3rjU6jM4mPktQkJvR2tzzlsRPmwATmZ+jpP0HGYqen4jmxkOGDgQErVjM1WXInP5RzDgToR2rP02NMgf1A/Rg9s2uMwLriUg4dLZn37qEw/rt5Yuxe23t8fjsbE+50DoOFz7vbNLWvXJz5F19H+jR3Ab85CEueDRHBw8yUlQMw8dv5EonSfGjGm8BVXnUFZqAAJD0Kldq8bz8q7bCUivY8yTYyEBDd5Ookt0TAx2ZGf7nAOh4/D4t6MaVeWncLKpX5ge14sVupKAaev0Xr16uVIsZXmAwKS4Seg/oL8HarKvCl90INxyxD7beTVXeXm5Vn9ocGev6sHKHSdgv802Iv6ejY5XwBItkoCsC5I/SWWnT3mcAR2Hx5EHoHXHzghBnjFKJuymJjXo2LGjlid98wcwxZs3WYgZvEZAonKeTUjA3rw8O3T4CaVp8Yic/z3GpW3DwqGcx7ADWovNIotJZRhNnIasDZKt4b2ROFTlBeoBIf0R06v+ePZ1nD99EoZewzAgxLozaWplK9eFeMGYVqqUqBzZXsS+dBPCYuMxLvAsNi/ebDMcu7qiCPtLK+0TyVx+R0AchkRYyamFkg4XHsGUqVOaXlTqJhJ0HG4C26jYgE4YMKodtuccQ+2joArlZefRc1R/hDRiFZsx5lwX0ihyT92Uf3CJyrFnM0OzTkGD8XLmQjxwZhnGPPEaNuSVonbFRiVK87Yg/dB/IjwsyFyEb1oGAV9zGCbqjTyiTFn46noCNyHs8en43ZHVWJb3A6pxHRV5f8aSIyOR/HhYw0irGgUmJyRAtuZumLgupCET71yRYYTJ8fEObmYYgNZdJ2Lt3m1Y8SSwNe5h9A7uDOOWIx+hOGgInorpZhG67Z22sVbPEnh/0yaf6WE0aLli8hqBG+cOqlWT71MhnbqrqMT31ZFzP9vUJaRTsDIYDOr+IUNUSUlJ3Xw3Tqi0kb9RMakn1A3znRvqSu5rqufIVFVSe9F8l29cT+DixYtK7CSvTCTQXAJFRUXWv0s3zqisKYNV1LLD6mpjldibrzEZNu5xcryBK/XchYD2/fHC+s/xgp1Vmla27snZU2dRmXldyExb60LGIsyOSXg71WA2GwRkiMquzQxtlOdlErAk4Muh3ByqsrSUDt7L2Llsmidjn8bEdSG+YDbZzPDd9eu9FuXiCwyog4cIBNyF6Hf2YcfMiDrDl9U/fIH931ksHraRzxVa0nG4gqIHZfjSylYPNtvnq5LNDGV7kUY3M/T5VlBB/RL4EUVbPsapG55pAR2HZzi7tBaJ3ZY4bmOvw7Qu5HvunupSyvYLk96GbGYoR5AykYDnCVSjqjAdyStPe6xqOg6PoXZdRfKrVsbSZUxdkrPrQlynUcuWVFRU1PRmhi0bUQto/XVUFH6KDUmjMSrtCxRnzcMILTIuGsnpBaios3GphFinITnybuOBXd0TsGKPZQh2NapKs4z35V5WPvYXHK8J3Zd7+5G5PAH3JuWhEuI03saTsctQjHwsfKgbQrvPQ17lv+vlszBBVSny0pJq9OuMe+JXY695jZBJ/lQ8kXYclSY9gvvjmbS/1YaJ25g052UfIyDROpZJInckwkoirZS6pkpSJ6ieibnqijnTP1Vu4rB6kVbmm3zjQgJjx4xpGOnmQvkU5fsEbpSkqphOwVqE5MOT16h9WoTkz+pcboqK6nSfmpp5pibi8WdVnjlD9Zmcrk5clXDHK6ok8zUtT0LqMWOUlERJxr6kssproixvnFEfbzxo/N++kquSukk9wXX+3431T1BpJdeMsGzkU1qkVaQy13X1hMpKHKlCuk1RaSeuKGUu111FTVmi0g+fUzdUTYRmp1r57HFYOGI9vZVeR2RUFGRsHXBuXYie2uurupo2M2x063RfVZ56uYxAQFgcMr9OxbhAIHDQMAxqLztD1JyzM7EVdqXuNR6XUHkQ77xaiMiJw9FVO3slCGExM7FwegfsfXMrvqyshhYlefxHnDp8zNhTCbgLjz7VH9ryz6ChWHjsMyT3Cmxcd6v5as5+2ReB8bE164Jad0X075PwfKf9WJpeiEopd8jYjlb9HsP4CDlUrOFwOB1H4/h9+q4cECRj6zLGjtYReDH1JbTZNBpdgn+DyTmdsTD1WRsHA/l0s3SlnGwDI0eOMpGAdQKt0TH0TqD0FMqr/o3KwlxsN9Q/eyUIob/pgUBDHvYUXkJAyAOIG3IMa2aMxsPPLEdmnZ0ErNdi39VLKMzJgyGsMzpaHhjWujN692kLQ0YuCivrjKnZFEvHYRON79+QX7kSyWPsdQCmdSFyVvWOlPEI1371+H479KqhqbfBjSf1akFv6d1EIIuE0b6dia2rkxFdvh5z4h7GgKlZ+MG+Z3rTjdKcWPOE0XE0jdmnc0gkj7nX4dOa+p9y7G34n01d3yLZg+57BMbej/CgXyIo/H5EB15A4VenaieaTZUGDsWD4bcaPwW0R/hjv8PC7K9w4H9exn37luOd/RdMOZ18lVNGhyLQcAxFZbW75JmEGXW0zyXYl8skma8+R6B+r8PnFPRThdjb8FPDNrtZBpw8kIvCiuuA7EFX8BE+2BGOhdMG1MxRhGPi3MH4fmUKFmcVG51H1XFkbirAoNcnY3BQAFD5BbabnUQr3NaxPX5p18Fv0pOpRFXRbuT9IPXXTwEIuncMZg/7AWsSl2O7FklVjariz+rqWL+Ytc++H69ADYVA/agqSyqyd1VthJXlHb53FwGJpLPzG/YAAAldSURBVDp48KC7xFOuHgloEUndVcyy99V72h50warn5FVqT0ltrKOxWVdUSc4qlVATHRUyPFGl5ZbU7jt15ZjK/Wu2ykpNVFESqTU8UaUfkegmCcKqjaqSZ0KIaS+6G+Uq97WRKqTTSDUvt1zdsJVPZFwtUXuWxaueNVFgUYmpKrdGx9roMFPkVo76Xva80/Iao8ZkT7xfiBxrDoXXfIuAnCTX2ElfSYmJiIiI0M4o9i3N/U8b6W3IMNXmLVv8r3FskfMEKvOQfN9zODY3A9viutrc5dr5CnynJIeqfMcWzdKEcx3NwudQYc5tOISLmf2QAB2HnxiVcx2eMSTnNjzDmbX4NgE6Dt+2j0PasdfhEC6nMrO34RQ2Py9Ujcq8ebjnnqex2WDAN/OHo7e2HYj/NpvncfiRbS17HdExMX7UMt9oCnsbvmEH39MiAEFDF+Dr0wt8TzU3acQeh5vAekvs1GnTuK7DTfClt/H7V191k3SKJQH9EKDj0I+t7NK0Y8eOGPPkWGxI22BXfmayj8D2rCyEhIbCl09ls68lzEUCzSfAcNzmM/SIhKbCcS2VkHM6+ob3weHCIzxYyBKMk+9lL7ARkZH487p1dY7sdVIci5GA7gmwx6F7EzZsgOycu3TFcu0o04Z3ecVRAhnbtmk7EcscEhMJkAD8eo1Ki7avnE0uBz2Vlpa2aA7Nbbz03uYlJWNyfHxzRbE8CfgNAfY4/MaUdRsiZ5O/mpSEFcuX173BTw4ReHf9eixIWcghP4eoMbO/E6Dj8GMLDxs2DJcuXkROTo4ft9J9TZPemvTaYkePdl8llEwCOiRAx6FDozmi8h9SUvB6SorxsCdHCjIvXktKwqI//hHSe2MiARKoJUDHUcvCL9/JhK4cMcvwXMfMK+G3t7ZpAx7S5Bg35m4ZBOg4WoCdZWJ365YPOVFup61lQlwOx3o1MdHOEsxGAi2LAB1HC7C3hOdyotx+Qy9bulSLopLFlEwkQAINCdBxNGTil1dkolySDMEw2SZw9OhRnCwr44S4bUS8QwLgynGdfAkcWTluq0nl5eUYMnAQ9uUfAH9NN6RkWiG+fOVKbi3SEA+vkICZAHscZhT+/0achawof33RIv9vrBMtXLN6tRZIwP2onIDHIi2KAB1HizI3zEfLcsiqruFly/TCI0fw/Asv1L3BTyRAAg0I8DyOBkj8/4JECz01YQK63303N+0DIFFUia+8om1iyDUb/v/9ZwubT4A9juYz1J0EGbKSKCtZ4Cbj+i09JSclaVFU3MSwpX8T2H57CdBx2EvKz/JJlFV4nz6Qcf2WnN7ftElr/oSJE1syBradBBwiQMfhEC7/yizj+TKu31LnO2ReQzYxXJiS4l+GZWtIwM0E6DjcDNiXxct4/lvLlmmrpGX9QktKEppsmteQBZJMJEAC9hOg47CflV/mlPkO2chv5vTpkIdpS0gyryPBATLPw3mNlmBxttHVBOg4XE1Uh/JkIz95iMrD1N8ny6V9L82erZ3LblpNr0OTUWUS8CoBOg6v4vedyuUhOubJsdpD1Z+dx6KUFNxyyy2YMnWK78CnJiSgMwJ0HDozmDvVlYdpz573+K3zWPvOWly+fBmJSUnuxEjZJOD3BOg4/N7EjjVQnEdwcLDfOQ9xGt988zXeWrqUBzM59pVgbhJoQICOowESXpAwXX9yHnQa/E6TgGsJ0HG4lqdfSJMw3Tlz55qHrWRLDj0mmat5bto09jT0aDzq7NME6Dh82jzeVc405/F4bKzuQnUltFiip2TOhsNT3v0esXb/I0DH4X82dWmLxHnIOg85x0NWWushyWJGCS0eMGCAFj3FjQv1YDXqqCcCPMhJJ9ZyxUFOzWmq/IKXh3FkVJS29bivPoxl7ynZRoSHMTXH2ixLAo0TYI+jcT68W0NAVpjvyM7WPo2IjISvbVFSWlqqzWccP34cH2Vk8AQ/fnNJwI0E2ONwI1xXivZ2j8OyLeI0ZIuSAQMHYtbs2fDmXk8yAb4hbQO2bvlQW/3O1eCWluJ7EnAPAfY43MPVr6XK0arS+4iIiEDf8D6QcFdPR16Jw5BdfaX3I0l6GXQafv21Y+N8iAAdhw8ZQ0+qyBxHdEwMDhce0dQ2ORAZMnJnkrkWcVQ9u3XHuXMVmsOQCXxv9nrc2V7KJgFfJMChKl+0ihWdfGmoyop62uaIu3buxIebN2u3H33sMfTt188lu8+Ks8jLzcUnH3+M8+fPa6f1ySQ9nYU1S/AaCbifAB2H+xm7pAZfdxyWjTQ96A8ePIidn2Zj7ITx2rDWbe3aoW3btggMDIRMttdPUs5gMODChQv4x/nzKCgowMH8fLRr1w7iiHr07MlJ7/rQ+JkEvECAjsML0J2pUk+Ow7J9MhdRUlKC06dOaa9XrlzBybIyFHxxWMt2c2AgrhkM2vuIfn0REhqKX/3qV+jSpQuCO3fGnXfeyZ6FJVC+JwEfIEDH4QNGsEcFvToOe9rGPCRAAvoiwMlxfdmL2pIACZCA1wnQcXjdBFSABEiABPRFgI5DX/aitiRAAiTgdQJ0HF43ARUgARIgAX0RoOPQl72oLQmQAAl4nQAdh9dNQAVIgARIQF8E6Dj0ZS9qSwIkQAJeJ0DH4XUTUAESIAES0BcBOg592YvakgAJkIDXCdBxeN0EVIAESIAE9EWAjkNf9qK2JEACJOB1AnQcXjcBFSABEiABfRGg49CXvagtCZAACXidAB2H101ABUiABEhAXwToOPRlL2pLAiRAAl4nQMfhdRNQARIgARLQFwE6Dn3Zi9qSAAmQgNcJ0HF43QRUgARIgAT0RYCOQ1/2orYkQAIk4HUCdBxeNwEVIAESIAF9EaDj0Je9qC0JkAAJeJ0AHYfXTUAFSIAESEBfBOg49GUvaksCJEACXidAx+F1E1ABEiABEtAXAToOfdmL2pIACZCA1wnQcXjdBFSABEiABPRFgI5DX/aitiRAAiTgdQJ0HF43ARUgARIgAX0RoOPQl72oLQmQAAl4nQAdh9dNQAVIgARIQF8E6Dj0ZS9qSwIkQAJeJ0DH4XUTUAESIAES0BcBOg592YvakgAJkIDXCdBxeN0EVIAESIAE9EWAjkNf9qK2JEACJOB1AnQcXjcBFSABEiABfRGg49CXvagtCZAACXidwC+UUsrrWlABEiABEiAB3RBgj0M3pqKiJEACJOAbBP4/zVSOjchho7IAAAAASUVORK5CYII=" alt></p>
<p style="text-align: left;"> </p>
<p style="text-align: left;"> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two pulses are travelling towards each other.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">What is a possible pulse shape when the pulses overlap?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A beam of unpolarized light is incident on the first of two parallel polarizers. The transmission axes of the two polarizers are initially parallel.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The first polarizer is now rotated about the direction of the incident beam by an angle smaller than 90°. Which gives the changes, if any, in the intensity and polarization of the transmitted light?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A light ray is incident on an air–diamond boundary. The refractive index of diamond is greater than 1. Which diagram shows the correct path of the light ray?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Unpolarized light of intensity <em>I</em><sub>0</sub> is incident on the first of two polarizing sheets. Initially the planes of polarization of the sheets are perpendicular.</p>
<p>Which sheet must be rotated and by what angle so that light of intensity \(\frac{{{I_0}}}{4}\) can emerge from the second sheet?</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeQAAAEWCAYAAAC39OTrAAAgAElEQVR4Ae2dD1RU5533v4ypa1Mk2bxJyx1N4lFeMH2ltYWQ3dTdDBihbtaWg1WziYrFjWarLicuwkKsZ1NZDcLK2tXGbJYJijGRBI7RbhtQJrBr2hMKeU1xX50pcXEjM/YkxyrQ+ieZed5z5x93hrnD8GeGOzNfzuHMzL3Pn9/v83ue53fv8/zucxOEEAL8IwESIAESIAESmFICuimtnZWTAAmQAAmQAAk4CdAhsyGQAAmQAAmQgAYI0CFrwAgUgQRIgARIgATokNkGSIAESIAESEADBO7QgAxjFiEhIWHMeZiBBEiABEiABLREwD+mOiodsgzUXxEtQaYsJBDtBOSLXvaxaLci5dcqAbX+xSlrrVqMcpEACZAACcQVATrkuDI3lSUBEiABEtAqATpkrVqGcpEACZAACcQVATrkuDI3lSUBEiABEtAqATpkrVqGcpEACZAACcQVATrkuDI3lSUBEiABEtAqATpkrVqGcpEACZAACcQVATrkuDI3lSUBEiABEtAqATpkrVqGcpEACZAACcQVATrkuDI3lSUBEiABEtAqATpkDVnm8+4apCQkQN5WbeR/OgprmtFtuz0OiR0YsrTjrZoy1HYPjTH/RPIGrsqrZ0oNuj8PnCa0ox+juTAFCQkpKGz+OLQsE041+TwmLBILABwXYMzTe/uNvsyEgUhwsTWj0Nlfn0WzbUKNeQzSym2wBTWF6W599cgzXoBjDCWMKemQBaa3avBsbTfGpmGgvvI5bM3PuuQubIZtTILEfmI65Kix8Tkc3rYcmU8dQPfQGLve5/8XB/8iGyu2dcI+Vn0nknesdUVDevLQpJUcvb/Asdbh4d225yDestzUpKwTF+oqOuuex7bD59xF2fDR1d+HySEPofvgRixesQ2nxzp4sK+M2dR0yGNGFoEM86rR9Zlwbu4vb/AvhB2D5+uxVgLQ/hoaO69GQAhWQQLRQuAmes+8g1YA0tb9+NeiBQDO4NiZvjA5qanmcgPXrlyTtUVu3XnYhUBvSQai401Bd0AqOOga2w4VQB7S+DdMgA55mIWGv+mQOD8H310yD8A1XLl2Y1hW93RSod4zzZ2HMqMJFs9dtDyl9oVMbPtIztKObZkzkeCdKvaf+kpAgr4QNc3dsMk34aPmNcFYluedNssuM8Jk8ZsoHLLgVE0h9M5pPXnavQWW66FMfA3AYjKiLHt4GjIhuwxGkwWBJ91vw9bd4E6vR3ZZg9/0vn95fpycRGUeQXQKymPYJPwWYQKOPpw5dgZABtY8sQKrnl4GCTa0HvsFen0mk5TTpUfR3d08PO2rL0Rtp83Xgfu03TyUHerEx53uZSVvH1LRVe6XxjJke5afgrZdZRlyOz02LFeC3JYV/co5Rf4Alh+WO7QNresfwrQEtelyz5JONl5sfgsVzr6knN4epS7I+Rcic1u7U8CPtmXiCwnZqHEue4137FDaQDll7Zne9owVCRjZ35V5Q7CfEmu0fBdR+Od6+2IUCj6KyJ91VYt5gMC8atH1mTLxLWF9f79YK0EAK0Sd+Ybr5GCPqFu7QMg8Rvwb9oquQbsQ1iax1v+8u3z75SZR5CzTP/8CUdTUJ+zjySsVibrz113y2ftEU5GKfAH19OhsF4Nde4XBX27n7ydEddfv3An/RzStnScASRjWPjUyfW6dMNvlpLfE5aZNQgpQnrS2XpyXOQkhVHl4dArCwy1QzHxEUx+zm+tErmxbqVy0XbcLcb1NlDrbtbKtyKb5TFibNo7sK952oehbAdvuAvHU2nxXO/L0UW+b2CiarO5OGzCv3McWiLV1PWJQtZVcF+frigK2U8Cti7c+ZZ9V1O1Ttqd/KNNmiNK2T4QQIdQlAuU3iOquQfW+gtHGDoUN1jYJq1Neuxg8X+8e35Syyt8lYah+381MkddrM2V6hf18OGjvh1r/kqcOou5PTZmoU8RPYK9DDtjY3I2zvFVYnf7jhjDXrXANLh6HITsVa6soN0i+DfmzLlE9T87v6kyuaj35FQ1eMZDMq+4SzuElYN5PRFtpht8AM9zBpdI2cV3YxfW2cvfgkivK2y4LWWy79YzY67mI8AxqfhyEGBRd1Qanbq6y5AS/E13VT7j09TpaxYBhKBdNZvlC4Jawtv2D2zm7ByrPAK3gJLwXM54BKhSd5DE9EMsRCkT9gejpY552DDHcVjy2VB6TTaIc0HNFadN550A/fCE2T6xt+h+n7bxOHsq26+lbiotmr4P0OMXhdj98sadwOJ6LhgAtZLhOheO2XxZt5bmudu+5yPY6ymF5AxQnhDcdBDx57b8Xg7+3i9DrGu6L3jFBeJiPZ+xQ2MDjkO3nRV2uPGZBDDNT9mPPhZUiL4LbLzAP7RxV61+cso6KqYwFWFv9Gpra2nFy1xJIstW803QSciu3Yd38JKcmOmkx/v6H65xTdu0H/wNm1dnhGUgtaoQQfTia/Slam9+CsXwDlhtdgSJ/+OQ6/qDG5vNL+KCpG8A5HF6fjpnOabm78NB6ozNq0tZwGl0DN3Glr9cVRbl2I7bkzIIstk76U6wvlKcUg/1NR/Lc/+NMY9uzGPMLa/BWswmX/vcLsNoFREsRUn1aroTcNWuRnyozmA4p88+Qpajg8998gCY53sdmxPqH7nJNsc9Mx3pnUEw3Glp+jYGQdPKZ/wymAM9FisDQr3GiwT1dnfc1uHrBPcjMy3W1H2dbDGC33FVYnz8fiXKbnPUwnnAuB3mEHl6TRu4qrDN42q6nb3nSBfr8A37zwS9d/eDwOjw0cxoSEqZh5kPrcNjZBlvR0hUoBkRZ53N4ft0Cp2zQzULO35eh1Bk/cgLvmlV7ZSBh3Mfk/rEU30jUAbo7kXjnbe+aO3LHU9cExo4AUg4H5K1A5fOrMF+WU+7HOZvww9IMAP+Og+9+5BvhHdR+ASqJkkM+w1qUyBz7YnqCuuxWvL93LSTZ8W07hC58CXd6tHf8Hlc/knt4GpZ8fbbT2blO6XDnXfe40n3Ui0ufqHlkB4YuHEKh/o+gz3wCy5evwPo9cliM6+/O++4arstz0PP5ySX0ONekPQf8Pm1Xce33tzF49RPnCSn5bnzJm0Qhn/eY/5fpmJX/PE7Wl8Ig+9HD27Bi+XIsz8+Efloeypov+K0j34nku780zODOu3CfF9Tn+ORSL4KKe+Uafh+STgEGdn/R+TuCBBwY6DyOve1yP+jGnsX3ueMZpuGuxbtdF4M2FQeYfDdmeke/P8aD6fcr5P58uO0unINkb7pQ2u7vcKkn2CN4fjEg3lqH65y35OuY660TgLc9f4yeS7/z5gj9ix4L59w73D8w0bomMHYEENoxeNXVP+dl4etzZyhSzMBd9810/v6o5xJco4n7dFD7KYqIsq9Ks0eZ6HEgrk5CVvGPsN8ZNdqK3at343i/+zlk3Zdwzzz5stmMUx9eVgSjOPCH61ddd7fzUvDgfSqxlw4LGovLcdgmwVD6r2g63gWrfRBd1bILHOXvS3cj2XkHakB116AiGtwTGX4QBdIMzLznPmdBtrN9uOL1ZQr5glWjk5BRWIV35Qhz87toamrCm9XyxUkr9izfgcaQH2nR4Ut33+O6I/dc6Dgj1z2yCgg52jMknVRYBtOD58JI4Cq6Wlpdjle1lm40vPYf6Pe2P9WEihN3TKDtfhF3J9/tLGtedRc+829roheHCpTO31PtcJ0fnfoQF5Xy/uE6PnHeGN+P9Af/2JNhDJ8zcd9dSkc3wbomMnYEkFo38x7I4ar4qBMfXlQ+qnYT1z8ZdOaYl/4gXKNJgAJi6BAdstaNqXsQBfvqUG2QANsBbN7xU9fgopuDRasWuSItt1ej/oIrutlha8OLO+thgwTDs3+ONDUfMmSFuUe+s/hfmPtILvK/m4Gv/PaXaPp38+hEkr6GvDXyVFI79v64CRfkiG5HP0wVrohr16YMM5Cy6NvIlUtrPYb69n7nRYPD9kvUHToZfBB1XELzennTAz2yK9owmGJAQUEBCv7qu1iqmIoeXVA5hQ5JmY9jjZzvo0P48eFzzrtrh+2UO+o0E2WmT4GQdAqtRqaKEIGBX6OlQV46yUBp2yd+F4Z2XG8rd01bG99AS69yoB9NPrW26+lbwfIPT5d/tPcnOOzsl7dhM73girjWV8A0oPS2nrKUddbiH+td7dTZr16swh65qxq+g+w079SPJ+M4PidY10TGjgDS6lIexapcuYO+ie3/eMw1nkBmdgA798j2fQLPZs+Lkse6Aig4lkPaWeYOXRK1BfHQS9BmSm9Q14hgJ2WUsDuKUVZh8H1R7QzgUkYaur97gjjkdIqgCZmdM4r7VqAIaEk8anjUGYjlDZAJlPczRZCKfwCaMnBKESTmrNc/7Qg9PXYJFmUNIRU1icvOwDZPUJdfcIs38MoTaDMccOYvx3AQSag6DQegeFn6RMR7dIjuT1k3bf8NB08BHjv7SewJ5oMkcuvOC7syqMsTUOTM4glcUrSjgG03xChrb8Cgf79UBGv5ier6qQhc9O8rnihrZ0KVdj+iTE86ZTCnJ1GodXkCuDy6GET1+z0Bnp4IdexQBGZ5bRCsvysCx8ZiP4+aGv1U61+8Qx7L1cuUpZXXVLe5p67Pwbi52jV1nZiFkpPtaHuz2rVpiFO+XJTWtcF8shgZzuAI+SZxLpbufH44zf3TgNv3I7+yDvWlzntYALkorT+Ot478HZbI992eYJhAeW8CifPX4EB7G+q8+QFp7V60tteiyB1gBufdfRNanVPNsnBycNo7+K+23a4pKlWeOiRmFOOk2bd8p4x1bWjfl49ZY2q5SZhfVIv2tjqUyjMNzj+XLO0H1riDSORnvUPRKQDLm4HueFSV44lJIaCYrs7NwoKvBJgK8s56BHomeRQh/NuutBbVrU048LffUo+t8BSZuABFB5rQVueKgXAe9uQvcgdredL6fN6NjJKjMLe9geq18uYm8p+8pFSHNvNRlGS4psLdJyb4EWpdM5CytBh7vfJ8CZg2ewJjR6C+4unv77qXpdyqGUpRJweylmS5AtwmqHE0ZE+QLyCiQVCljPI+z1EotlIFficBTROI9z4m77c+P3MbPsICFDX9FK8UPAgdrqG7ZjUyt/07sLYJVu40pek2rGXh1PoXHbKWrUbZSGCKCKgNGFMkTuSrHepEzbJ8bHNGcPtXr3TS/uf4mwRGJ6DWv8Y08Td6NUxBAiRAAjFAIDELW4+eRJN3ucWtk3MatQn7nHfMMaAnVdAUAd4ha8ocFIYEtEFA7QpeG9JRChKIbgJq/Yt3yNFtV0pPAiRAAiQQIwTokGPEkFSDBEiABEggugnQIUe3/Sg9CZAACZBAjBCgQ44RQ1INEiABEiCB6CZAhxzd9qP0JEACJEACMUKADjlGDEk1SIAESIAEoptA1D72FN3YKT0JkAAJkEC8E/DfcTLABrDRgchfkeiQmlKSQHQQUHtOMjqkp5QkoG0Cav2LU9bathulIwESIAESiBMCdMhxYmiqSQIkQAIkoG0CdMjatg+lIwESIAESiBMCdMhxYmiqSQIkQAIkoG0CdMjatg+lIwESIAESiBMCdMhxYmiqSQIkQAIkoG0CdMjatg+lIwESIAESiBMCdMhxYmiqSQIkQAIkoG0CdMjatg+lIwESIIGwE2htbYW8WUWo/2EXKE4roEOOU8NTbRIgARLwEDh9+jRWrFgBeQfEUP49+fg5uQTokCeXJ0sjARIggagj0NHRgZycnKiTO9YEjtqXS3Av61hritRHSwTU9trVkoyUZfIIyPbu7e3FvHnzJq9QlqRKQK1/8Q5ZFRlPkAAJkEDsE5DXjyVJojPWgKnpkDVgBIpAAiRAAlNFQF4/XrRo0XD1QxaYjGXI9gZ5paOwpgWWIcdwGn4LCwE65LBgZaEkQAIkEB0EfNaPHZfQXLwcqzseQJX1ljPAy249iIU9JTAUH0c/fXJYjco15LDiZeEkEJ0E1Na4olMbSh2MgHL92GExYmnaT7Cw7R1U5dzrzaZ23JuAX8ZEQK1/3TGmUpiYBEiABEggZgj4rx/rUovQIopU9LPibN+ncOBecGpVBdEED5PrBAEyOwmQAAlEK4ER68dBFVmEVYvm0BkHZTSxk3TIE+PH3CRAAiSgeQJXr17FjRs3Rsjps3484qz7gOMSjlfVoqfoSeSlzFBLxeOTQIAOeRIgsggSIAES0CqBV199FQ888AC++93vjhCxs7MTS5YsGXF8+MAALtT/CJsvfg9HKv8Ss+gxhtGE4RvxhgEqiyQBEiABLRBoamrCv/3bv+EHP/gBTp06hZMnT3rF8l8/9p7wfhnABeNzyNkOVL70HHKk6d4z/BIeAoyyDg9XlkoCUU1ALQo0qpWKUeEdtlPY/tTbyDz6zyiQ1ON0H330UXz88cewWCz44he/iNLSUvT19aGxsXEkGYcNnfv+HvnVd6DSVIui+Ukj0/DIuAmo9S/eIY8bKTOSAAmQwFQSuA1bdwPKnyrE7vbPRxXk8OHDuHz5Mp5//nlnWrX1Y9nBVyzOwCMnZmF/O53xqGAnMYGqQ5afO8uTd2rRV8A0wKfBJ5F5FBTlwFB3LbIjavubsBhXIiHPCAubWxS0EYqoDQKzsPLwm6gOYQvqlJQU7NixA7W1tTh79iwCrh8PdWKv7ODNBWg68g8oSOWdcSTtrOKQb6L3zDvo2bobu9M70NJ1NZIysa4pJeDA0IU3sLPiNbRPqRysnARIIDiB6ZAycpAhhR75/MILLyAtLQ3f+MY3AuxffROWxhpsa7cBtgNYPvuPRrwfWV9mwkBwoXh2AgQCO+SBX6Bu+0WseeJpFKyahT1VJ3jXMgHIUZPVYUP3oe3Y9FM9Vq6aGzViU1ASiGkCn3ejJiXBzzmmoLD543Gp3dDQ4MyXlZXll38GUosag74P2VqVA94z+2GbxJ8BHLIDA12n0YBc5GXOQsqibyO39R2c6b05idWyKO0RuAlLfQlKzNl4ceufYOZYBPTfjD67DEaTBUOeMgZMKNPrkffKKXQeGt60Xl9Yi1OWANfb8n6669Mx8mrcgQFTBfQRnUr3KMFPEghMwGHrxKGyPLfDDPQihgFYTEaUZevdafJQZjT5vqzBvw8lKNLckYGSXuHnKHtxqOD+wAKNcvThhx/Gs88+i2XLlo2SkqcjTSCAQ76KrpZWYM3jyEzSQZfyKFblfoBjZ/rApb1ImyeS9U2HfmktTu5aAilAq1CVZOgcjJuUm9HfgrXqAXSsNmBZTeewU4YNrRtq0DTz+zgpBIT9Mo7Mege5G+vQ7f8WGd39ePzpZUBDM07331ZU7ds2FSf4lQSmhICjvxnPZOSjHhthHrRDDL6Ox3xexOB6dMiwugPJVd2wCwG7dQeSO4qRtmyfu+1fQ/fBrVjd8VW8JJfhTFOCaQ0bsKXREpZx96WXXsL69eunhBkrDUJA+P3ZzXUiFxmitO0T95kbwly3QkAqF23X7X6pp+YnILdZ/oWPQKg2t4vrbeVCkjaJpsu3FOK4j2OFqDPfEOJ6myiVIKTSNnHdm8ovjXDXmVsnzHIzG3xfVBvmidy688Lb6pzlKNumtzB+mWQC7GOhAA3UT/zatbPNLhBFTX3D7Vgu2nlccrVv+3lRl+vX1kOpnmmiloBa//K7F3IFc7VK8nT1PW43PsM1bW1rZXBXkAub+DzlumO1pX8TC3w2DdAhcXYK0nER5sveiWs/RKOkSfwavrPmm2g99gv0OqdmlEspnrbpVyR/kkAkCTj6cObYGSA9BbMTPUOpDkk5u2AVjShKne5a/rM9hG8t+IrvHtCJeqSlAz1mK4Z0yfj6kvlo3f4qjnea0Kxc7omkPqxrygl4WpFLEE8Ds+3G4rumeYMIpqWtRyu60dDya0bYTbnJNCSA41P0nbUGEcjzdpggSVRPzUBK3pMo6vkJ6to/BSA7/w6kbc1HVpJvs1UtgidIYEoJ3MaVvl7YgshgO9uHK467kVFyFOYjj+BaUxWWL07DzAQ9ssuMMAWKsQhSHk9FNwHFyObAQPthbG9dhDrzDb8AAjuut5UDew7iLQuDu6Lb5JMove5ezFmoD1KgHgvnjP9VbbpZf46n18B1ITjwa7Q0zMKa73wNiUFq5CkS0A6B6UiekwIpiEDSwjlIdo7CSUjNKUBRVQuEuAVr1348caUWiw0vjnsfCHk3qHD+B1GLp8ZJQOGQ3QEzAd/ooUNS5uNYI51hcNc4QcdmtnuQmZcLqecDnLMpg68cGLrcix7MRdrsibjPe5C18mmkNTTi2LETaEj/NhbxbTOx2ZSiUSvdHCxatQjo6cVlRWCia1MlPfKMFiQ6x83zeO/cb32Ds4asMPcA6Wn6ABeY8vPF+dhQuAySrRd9V5R9K3RQcnBYOP9Dl4QpQyUw7JCddyDAmqf/PPAbPZK+iZVblWt6oVbBdLFLQIekrKdQuaQDmyteQafTKcsbizRgy+p6pFWXYGVq6JsWjOSkQ+I3lmJN+gls2NCI9FWPImW4xY5MziMkEFECM5Cy9BmUpzVi54ttsMmxDo5+tNcfQ6thG3atTIUuKRPfr8zCzzfvwL5Om8spy08mbCnGnjR3GscFGPNSkF3WPPwo1JAFp1u6gYA3SBFVkpVFkIB7eLsJy1sHsSftaazMUguYuRvf+E4Bcltda3qerTVHPisaQelZ1dQTSFyAogNNOPLY/6BML+/sMw0z/+b/4bEj7ThZkhXg6n+MIuvmIm9jASTw5ehjJMfkESCgk5ag8uhRrLPXQD8tAQnTHsZO+2p0Hd2EDGegVxLmF9Wi/chjuFKWgWnyNPLMv4P5sX0wnyx2pdHNx7r6Y9hy39swzHTH7sxcgbfv24iTfOVhBKyonSr4tift2IKSBCQg73G9Fob3nsSvXikIPHsTMB8PToSA2ttoJlIm85IACbgIqPUvTgCyhWiagMP2n6hv+Axbf5BDZ6xpS1G46CPgwJDFBKN3lzH5ZUKFqDml2GUv+pSKaonpkKPafDEsvHNdTY9p+hrYt+zGsxl3x7CyVI0EIk/A0X8cxYZidCTvgNUuB4DdgvV4FnoKl6O4+ZJvEFrkxYvLGjllHZdmp9IkEJyA2pRa8Fw8Gz0EXEtBadtT0HahEjneZ/vVjkePZtEgqVr/uiMahKeMJEACJEACk0nA/WanIpUyPY9bJU3kKQmVsnlYlQCnrFXR8AQJkAAJxCmBXD7zPxWWp0OeCuqskwRIgAQ0SMDR/zNUbT+Poo2L+cz/FNiHU9ZTAJ1VkgAJkIDmCAydQ33FLlxctxdH8x/0fRmG5oSNTYHokGPTrtSKBEiABEIn4Hyv+V9hO0pgqlg8tneih14LU45CgFPWowDiaRIgARKIZQIO23uo3eR2xgfWYL73VZKxrLU2daND1qZdKBUJkAAJhJnAbdhML2CxfgVOJL+AdjrjMPMevXg+hzw6I6YggbgjoPacZNyBiFmFHRjq3odlmVthLmritrQRtrNa/+IdcoQNwepIgARIYMoJOCxorKhGOwCbcTlmyy/G8Hl/cibKTJ9OuZjxJgDvkOPN4tSXBEIgoHYFH0JWJiEBEhiFgFr/4h3yKOB4mgRIgARIgAQiQYAOORKUWQcJkAAJkAAJjEKADnkUQDxNAiRAAiRAApEgQIccCcqsgwRIgARIgARGIUCHPAogniYBEiABEiCBSBCgQ44EZdZBAiRAAiRAAqMQoEMeBRBPkwAJkAAJkEAkCNAhR4Iy6yABEiABEiCBUQjQIY8CiKdJgARIgARIIBIEonanrkjAYR0kQAIkQAIkEC4CQgifoqP2fcj+ivhoxR8kQAITIqC2td+ECmVmEiABJwG1/sUpazYQEiABEiABEtAAATpkDRiBIpAACZAACZAAHTLbAAmQAAmQAAlogAAdsgaMQBFIgARIgARIgA6ZbYAESIAESIAENECADlkDRqAIJEACJEACJECHzDZAAiRAAiRAAhogQIesASNQBBIgARIgARKgQ2YbIAESIAESIAENEKBD1oARKAIJkAAJRIaAA0PdtcjWV8A04IhMlawlZAJ0yCGjYkISIAESiGYCDgxdeAM7K15DezSrEcOy0yHHsHGpGgmQAAk4CThs6D60HZt+qsfKVXMJRaME6JA1ahiKRQIkQAKTQ+AmLPUlKDFn48Wtf4KZk1MoSwkDgah921MYWLBIEiABEohBAtOhX1qLk9KXkYibGIxBDWNFJTrkWLEk9SABEiCBgAR0SJS+HPAMD2qLAKestWUPSkMCJEACJBCnBOiQ49TwVJsESIAESEBbBOiQtWUPSkMCJEACYyLgsJ1CRfZmNNs+H1M+JtYeATpk7dmEEpEACZBACARuw9bdgPKnCrG7nc44BGCaT0KHrHkTUUASIAESUCMwCysPv4nqeWrneTyaCNAhR5O1KCsJkAAJeAlMh5SRgwxphvcIv0Q3AYVDvgmLcSUSEhIC/OehzGiCZYh7n0a3uYNJ78CQxQRjWd6w/fWFqDllwVCwbJN2zt3+8oywsJlNGlUWFAMEPu9GTYr/uJyCwuaPx6HcDKQWNUJYdyEnSTH8j6MkZpl8AgEssgJ15hsQQnj/7dYdSO4ohqH4OPo5WE6+FTRQoqP/OIoNxehI3gGrXbb9LViPZ6GncDmKmy+BZteAkShCfBK4IwMlvcPjsWts7sWhgvvjk0cMax3AIY/UVif9KdYXLgOMb6Cl9+bIBDwS5QRuorflDRixDIXr/xSSs1VMh5S1Hs9XPgTj5pfRzjfDRLmNKX64CDhsnTjknVlKR2FNi99s4gAsJiPKsvXu2acAM45DFpiMZcj2zlAGSBMuBViuZgiE5JC90kopmJM83fuTX2KFwCjTWLZe9F25ra6s/2CSXQajSTHVPWBCmV6PvFdOofPQ8KCjL6zFKcvAyHIdl9C8Ph36MhN8zzowYKqAnq+OG8mMR6aEgKO/Gc9k5KMeG2EetEMMvnL9otoAAB9wSURBVI7HekoUs4kDuGB8DobVHUiu6oZdCHhmHNOW7UO3cxnwGroPbsXqjq/iJbkMZ5oSTGvYgC2NltFnp5x30AdRIHHjxSlpBJNYaUgO2WH7JepeG8C241tg4LrDJOKPkqJyv41FKSqBI0PnYNy0HKs7HkCV9ZZrqrvqAXSsNmBZTadi/dmG1g01aJr5fZyUl0Psl3Fk1jvI3VjnHpQULHT34/GnlwENzTjdr7wQuIqullZgzePIZDtUAOPXqSHgmVlahx8+n4/URB2Q+FV8TzmbONCFV7d3Yun+H6E4S4I84Oqkb+G5f9mHUnM1KmSH67iCD09dQPpjj7jKcKZZgl3v9qKlaL4zz9Tox1ojTSCAQ34T69O+OBzYk5CAafpF2Gr8Da5cvo4/RFpC1jdlBBz9P0PV9vMo2rgYKQFaCuDAQOdRbD/1GPbvegZZkjx7Ik91/w3+5cg6mLfVoNEyvMQhlZbh+YL5SJQ10knIfDwDUvsv8aFV6XSdJ5GUlY+tae/g5ZaLw3cIA79GSwOwJu9rSJoyKqyYBNwEHH04c+wMkJ6C2bIzdv7pkJSzC1bRiKLU6RjoOo0G20P41oKv+DrWRD3S0oEesxVDumR8fcl8tG5/Fcc7TWhWzi65S+VHfBDwtCKFtiODusTgeTSVAnuWl+Bg9zVFWn6NWQJD51BfsQsX1+1FZf6DvoOJV2nXHast/ZtY4HTGnhM6JM5OQTouwnxZLUZ7lDSJX8N31nwTrcd+gV5nRJnDNbghF3mZ93gq4icJaJjAbVzp64UtiIS2s3244rgbGSVHYT7yCK41VWH54jTMTNAju8wIU6AlnSDlKU8FfmLGP1p7+LcyL79PDYEADjmAIInzkb9+FXLx79jb+IHful6A9DwU3QSc09B/he3YgpcqFruDvAKo5PgUfWetAU54Dllxtu/T4Ttcz+GQPmcgJe9JFPX8BHXtnwKQnX8H0rbmI4vT1SERZKKpJjAdyXNSIAURQ1o4B8nOUTgJqTkFKKpqcS37dO3HE1dqsdjwIkzjDKhUPikTyvcgYvJUhAiE5pDlGcbkOVgYrGVFSGBWE14CDtt7qN0kO+MSmA6swXzvVFyAenX3Ys5CfYATnkN6LJxzr8rdtSeN+qdu1p/j6TVAQ8uvMeCcrp6FNd/5mmvKWz0bz5BAZAjo5mDRqkVATy8uK/ZocFiMyEvQI89oQWLm41gjncd7537re2E6ZIW5B0hP0wdoz/KGH/nYULgM0mgBlZHRlLVEiEDIDtlxpQ9nbRlcv4uQYSJfzW3YTC9gsX4FTiS/gPbRnLFTwHuQmZcLqecDnLMp14EdGLrcix7MRdps54rxONW5B1krn0ZaQyOOHTuBhvQgwWXjrIHZSGD8BGYgZekzKE9rxM4X22CTl1Yc/WivP4ZWwzbsWpkKXVImvl+ZhZ9v3oF9nTaXU5ZnoLYUY0+aO43jAox5Kcguax5+XGrIgtMt3UDRk8hTC6gcv+DMqVECoTnkoQs4Xic3sqexMovrdxq15QTEcmCo+wCeWvwPMBftx5HdBd5oz+CF6pCU9RQql3Rgc8Ur6HQ6ZQeGLjRgy+p6pFWXYGWqSnR28ILdZ3VI/MZSrEk/gQ0bGpG+6lGV4LKQCmMiEph0AjppCSqPHsU6ew300xKQMO1h7LSvRtfRTchwzi4lYX5RLdqPPIYrZRmYJj9nPPPvYH5sH8wni11pdPOxrv4Yttz3Ngwzp7kCameuwNv3bcTJyr/ErNBG6UnXjQVOAQHh/bshzHUrBIAA/7mitO6k6LLe8qa2m+tELiCk0jZx3Xs0Ml9kGfk3iQTs50VdrhTA7p62kCFK2z5Rr3DQLNrqSoXB03YMpaKuzSwGPTmut4lSaWRbcbUhT9nu9pdbJ8x2T0b585a43LRJSFgh6sw3lCf4PYwE2MfCCJdFxz0Btf6VIJOZguuACVUpRw9GodgT0jl+M8t7XK+F4b0n8atXCni3EKGGwD4WIdARqUbeKewt1O3cjj3trphvae1eHHp+PZak8gHCiJjArxK1/sXJED9Q/KktAg7bf6K+4TNs/UEOnbG2TENpooLAbfQ3V/jsFCbsVhxfeBaFhgo0+2y8ExUKxbSQdMgxbd4oVs4Z6KLHNH0N7Ft249mMu6NYGYpOAlNEwHERLS83A2sKsd69U5i8KU9WcTkq05ux+cdn+BjrFJkmULWcsg5EhcdIIM4JqE2pxTmW2FFfvuBdmoP1qIT550VI5a1ZRG2r1r9ohoiagZWRAAmQgFYI3IlcPrmgFWM45aBD1pQ5KAwJkAAJhJvAbfQf34/tPd/Gxry54964J9xSxmP5fF9XPFqdOpMACcQpAXmfgNdRsfk3WHfEiPxZfJ2ulhoCHbKWrEFZSIAESCBsBFyb9mzKqQEqX0dFzizeHYeN9fgK5pT1+LgxFwmQAAlEEYHbsHW+BI8zPlC0IMAe2lGkToyKSocco4alWiRAAiTgJODoh6liGfSPnEDy/jdBZ6zddsHHnrRrG0pGAlNGQO2xjCkTiBWPk8A1dNesRua2Syhq+ileKVB7t/k4i2e2cRFQ6190yOPCyUwkENsE1AaM2NY69rSTXwW5NG09WtVUk8rRdqESOXzHuBqhsBxX6190yGHBzUJJILoJqA0Y0a0VpScBbRBQ619cQ9aGfSgFCZAACZBAnBOgQ47zBkD1SYAESIAEtEGADlkbdqAUJEACJEACcU6ADjnOGwDVJwESIAES0AYBOmRt2IFSkAAJkAAJxDkBOuQ4bwBUnwRIgARIQBsE6JC1YQdKQQIkQAIkEOcE6JDjvAFQfRIgARIgAW0QiNqNQbSBj1KQAAmQAAmQwPgICCF8Mkbt6xf9FfHRij9IgAQmREBtJ6EJFcrMJEACTgJq/YtT1mwgJEACJEACJKABAnTIGjACRSABEiABEiABOmS2ARIgARIgARLQAAE6ZA0YgSKQAAmQAAmQAB0y2wAJkAAJkAAJaIAAHbIGjEARSIAESIAESIAOmW2ABEiABEiABDRAgA5ZA0agCCRAAiRAAiRAh8w2QAIkQAJxTuBXv/oV5M0qQv2Pc1xhUz9qd+oKGxEWTAIkQAJxRuD06dNYtmwZampqRtX8zjvvHDUNE4yPAB3y+LgxFwmQAAnEDIF3330XBQUFSE1NjRmdolGRqH25BPeyjsbmRpmjhYDaXrvRIj/lHBuBxMREfPjhh5g3b97YMjL1uAio9S+uIY8LJzORAAmQQGwQkNePk5KS6Iw1YE46ZA0YgSKQAAmQwFQRkNePFy1aNFz9kAUmYxmyvUFe6SisaYFlyDGcht/CQoAOOSxYWSgJkAAJRAcBef04JyfHJazjEpqLl2N1xwOost6CvDRotx7Ewp4SGIqPo58+OaxG5RpyWPGycBKITgJqa1zRqQ2lDkZAuX7ssBixNO0nWNj2Dqpy7vVmUzvuTcAvYyKg1r8YZT0mjExMAiRAArFDQF4//sIXvuBdP9alFqFFFKkoaMXZvk/hwL3g1KoKogkeJtcJAmR2EiABEohWAvL68Z/92Z+FKP4irFo0h844RFrjSUaHPB5qzEMCJEACMUBAXj/Ozs4OronjEo5X1aKn6EnkpcwInpZnJ0SADnlC+JiZBEiABLRNoKOjA/feey/y8/NHCPqLX/wCS5YsGXF8+MAALtT/CJsvfg9HKv8Ss+gxhtGE4RvxhgEqiyQBEiABLRA4efIk/vqv/xoGgwFvv/023n//fa9YnvXjBQsWeI/5fhnABeNzyNkOVL70HHKk6b6n+WvSCTDKetKRskASiH4CalGg0a9Z7GngsJ3C9qfeRubRf0aB5Bune+PGDa/CGRkZuHnzJv7rv/4LX/ziF7F792788pe/xIkTJ7xpvF8cNnTu+3vkV9+BSlMtiuYneU/xy8QJqPUv3iFPnC1LIAESIIEpIHAbtu4GlD9ViN3tnwesX3a8nv9Dhw7hv//7v/Hyyy8706qtH8sOvmJxBh45MQv72+mMA4IN08HADlneqeWtGhTqh1/HpS+swVsmC4bCJAiL1RIBB4a6a5Gtr4BpINI7AQzAYjKiLFvvfRWcvrAWpywDWgJEWUhAIwRmYeXhN1EdwhbUDz/8MLZs2YLnnnsOFosFAdePhzqxV3bw5gI0HfkHFKTyzjiShvZzyA4MWZpRtuwvsPNXX8Hfdrt2ahHiOtpXT8PJ1QYsq+mkU46khSJelwNDF97AzorX0B7xum+jv7kChtUdSK7qhl0ICLsVxxeeRaGhAs39tyMuESskAe0SmA4pIwcZUuiRz1VVVZAkCUuXLnU+f+y7fnwTlsYabGu3AbYDWD77j7wXxfIUq/yvLzOBl8bhaxG+DnmoCwc3bkbD3D04snsNMryL+ElIXVKMAye3Adt+gJ2mT8MnEUueOgIOG7oPbcemn+qxctXcyMvhuIiWl5uBNYVYnyW5nnfUScgqLkdlejM2//gMB4PIW4U1TjWBz7tRkzI8W+lyjikobP54zJLJ09f19fW4ePEiHn30Ub/8M5Ba1OjcLlPeMjPQv7UqB7xn9sM2iT8VDtmBgc7j2Nu+CJVlfxEgvF2HxG88iZrjP0TebEbbTaINNFLUTVjqS1BizsaLW/8EM8cilf9m9NllMCqXNwZMKNPrkV32Y9QUpqtfaevmo6jFCrVObzvbhyuRnkEfCwemjUsCDlsnDpXlue8mA72IwX8ZJg9lRpPvyxr8+1CCIs0dGSjp9XeQvThUcP+4eOfm5jofdXrkkUfGlZ+ZwkdA4ZCvoqulFTYpBXOSVRyuTkLGd7+LHK4rhM8iU1bydOiX1uLkriWQFK1iVHGGzsG4SbkZ/S1Yqx5Ax4jlDRvaGz7EPeXvQdh/i/YNmWO80r4TuaseRcpYZBtVeCYggYkRcPQ345mMfNRjI8yDdojB1/GYz4sYXI8OKZdh7NYdSO4oRtqyfeh2vkHpGroPbsXqjq/iJbkM5wsdSjCtYQO2NFoQjmvQ1tZW7NixY2LKM/fkExCeP/t5UZcrCeTWCbPdc1Cbn4DcZvkXPgI3hLluhYBULtquB2sMdnG9rVxI0ibRdPmWQhz3cawQdeYbQlxvE6UShFTaJq4rUoX29Za43LQpQB2h5Waq8RFgHwuFW6B+EqjtLxBFTX3Cpyc5+4QkcuvOC7tz7J3n+h5KtUwT9QTU+hfvNyb/GieOSnTPqqR/Ewu88Qay+jokzk5BOi7CfHkicflygNnrqNj8G6w7Uo78WSozN3FEnKpqiICjD2eOnQHSUzA70TOU6pCUswtW0Yii1OkY6DqNBttD+NaCr/juAZ2oR1o60GO2YkiXjK8vmY/W7a/ieKcJzcrlHg2pS1HCT8DTigDdvZizUA/09OIyX0QdfvKxUIPjU/SdtQbRxPN2mCBJVE/JzrgBm3JqgMp/QkXOLN8BTTUfT5CAVgjcxpW+XtiCiOOKi7gbGSVHYT7yCK41VWH54jTMTJBjLoww8XG/IPRi79SwQ8Y9yMzLhWTrRd8V9cdLHLZuvM0ruNhrCePRyHMRp5pXj4VzxvOqttuwdb7kdsav40DRAiSq1sETJKBVAtORPCcFUhDxpIVzkOwchZOQmlOAoqoWCHEL1q79eOJKLRYbXhz3XgCeR5XC9RlELZ4aJwGFQ9YhKSsfWw1nsL3qZ+gfEUkg37Ecwvcz1uHEtT/CneOskNliiYD7Iq7nA5yzKS/iHBi63IsezEXa7DG6Ukc/TBXLoH/kBJL3v0lnHEvNJdZ00c3BolWLRswqOixG5CXokWe0IDHzcayRzuO9c7/1Dc4assLcA6Sn6QNcbMrPF+djQ+GyUW+QgiEN9NjSZB4LVjfPjZOA7+q4XQyerxdrJUkYSg+LLqsnUOe6MLfudR0vbxVWn+gE3xIi8UttQTwSdcdHHYGCVVQ0H+wRdWsXCGntfvG+s70o2lD1+2JQzhZyUNfvRFf1EwIIEASjUj0Ph4cA+1hoXO3WVlFumCcMnnHRflm0lecKGPaKrkF5oLwuztcVCUlaK/a+b3UFdrn7jDeNO6jLUNokzM48QojB86KpNFdIRU3i8hSPt6GRYKqxEFDrXwHDle3WLnG8rlQYACFnlP+ltdXizTaza4B112w314lc+dy4omfHIr5vWjVlfFPx1/gJjMEhy5UMmkWbsr0YSkWdsq2E6JA97cnT5kZ8jhr1PX6NmdOXAPuYL49gv+zW90V9aa57rPS/mZFzXhfmtjpRapDcaXJFaV3bsPMVQshjblP1WiF5x9wFYm11k+KmKJgEPBdtBNT6F9/2NM6ZBWYjgVgmIK87ytOb/CMBEph8Amr9S7GGPPmVskQSIAESIAESIIHQCNAhh8aJqUiABEggxgjILxMywejd9jMBCfpC1JziW/2mytB0yFNFnvWSAAmQwBQScPQfR7GhGB3JO2C1y3tl34L1eBZ6CpejuPmSb1T4FMoZT1XTIceTtakrCZAACTgJ3ERvyxswYhkK1/+pe//66ZCy1uP5yodg3Pwy2iP+LnSa5g4iIAESIAESiDcC7lctFqno7dkgKin0dy2rlMTDYyDAO+QxwGJSEiABEogLArnfxqIUOuNI25oOOdLEWR8JkAAJaJSAo/9nqNp+HkUbF/NVp1NgI05ZTwF0VkkCJEACmiMwdA71Fbtwcd1eHM1/kC9zmQID0SFPAXRWSQIkQAKaIjB0DsZNf4XtKIGpYrE7yEtTEsaFMJyyjgszU0kSIAESCEzAYXsPtR5nfGAN5nvf7Rw4PY+GjwAdcvjYsmQSIAES0DCB27CZXsBi/QqcSH4B7XTGU24r7mU95SagACSgPQJqe+1qT1JKND4CDgx178OyzK0wFzXhV68UYBZvz8aHchy51PoXTTAOmMxCAiRAAlFNwGFBY0U12gHYjMsxe1oCZCcx/J+JMtOnUa1iNArPO+RotBplJoEwE1C7gg9ztSyeBOKCgFr/4h1yXJifSpIACZAACWidAB2y1i1E+UiABEiABOKCAB1yXJiZSpIACZAACWidAB2y1i1E+UiABEiABOKCAB1yXJiZSpIACZAACWidAB2y1i1E+UiABEiABOKCAB1yXJiZSpIACZAACWidAB2y1i1E+UiABEiABOKCQNRuDBIX1qGSJEACJEACMUtACOGjW9S+ftFfER+t+IMESGBCBNR2EppQocxMAiTgJKDWvzhlzQZCAiRAAiRAAhogQIesASNQBBIgARIgARKgQ2YbIAESIAESIAENEKBD1oARKAIJkAAJkAAJ0CGzDZAACZAACZCABgjQIWvACBSBBEiABEiABOiQ2QZIgARIgARIQAME6JA1YASKQAIkQAIkQAJ0yGwDJEACJEACJKABAnTIGjACRSABEiABEiABOmS2ARIgARKIGwIODHXXIltfAdOAI260jhZF6ZCjxVKUkwRIgAQmRMCBoQtvYGfFa2ifUDnMHC4CdMjhIstySYAESEArBBw2dB/ajk0/1WPlqrlakYpy+BGgQ/YDwp8kQAIkEFsEbsJSX4ISczZe3PonmBlbysWUNlH7+sWYsgKVIQESIIGwEZgO/dJanJS+jETcxGDY6mHBEyVAhzxRgsxPAiRAApomoEOi9GVNS0jhXAQ4Zc2WQAIkQAIkQAIaIECHrAEjUAQSIAESGC8Bh+0UKrI3o9n2+XiLYD6NEKBD1oghKAYJkAAJjI3Abdi6G1D+VCF2t9MZj42dNlPTIWvTLpSKBEiABEIgMAsrD7+J6nkhJGUSzROgQ9a8iSggCZAACQQiMB1SRg4ypBmBTvJYFBJQOGQHBkwV0CckIGHEfzoKa47BZBmIQhUp8tgJTOX2egOwmIwoy9Z726G+sBan2PbGbkbmiA0Cn3ejJsV/XE5BYfPHsaEftfASUDhkz7EMlLZ9AiHE8P9gE1bjZ1hteA7GC3TKHlKx+TmV2+vdRn9zBQyrO5Bc1Q273AbtVhxfeBaFhgo099+OTeTUigSCEbgjAyW9ivHYOTb34lDB/cFyqZybgdSiRgjrLuQkBRj+VXLxcGQIhGaRxFQs2foj7F/aifV/U4fuIW5KHhnzRLiWqd5ez3ERLS83A2sKsT5LgrNx6iRkFZejMr0Zm398BrwcjHCbYHWjEnDYOnGoLM89oyPPJrbA4jNG+s/65KHMaPJNM2SByViGbO/sZIA0o0rCBNFOIDSHLGupexD5Zc8ht/01NHZejXa9Kf8IAhPYXs9/MMkug9FkwZCnjgETyvR6ZJf9GDWF6c6BS19mGulcdfNR1GKFtSoHSZ68ik/b2T5c4bWgggi/TjUBR38znsnIRz02wjxohxh8HY/1lMBQfBz9zrY6gAvG53xmfezWHUjuKEbasn3um5tr6D64Fas7voqX5DKEgN1agmkNG7Cl0YJRm7zzDvogCiTu8zTV7WGi9YfukGWfnDwHCyUrzvZ9OnojmahkzB9hAu7t9XYtgTSWVjF0DsZNy7G64wFUWW9BiFuwVj2AjtUGLKvpHHbKsKG94UPcU/4ehP23aN+QGdDpqit9J3JXPYqUscimXhjPkMAkELiJ3pY3YMQ6/PD5fKQm6oDEr+J7hcsA4xto6b0JDHTh1e2dWLr/Ryh2z/ropG/huX/Zh1JzNSpkh+u4gg9PXUD6Y4+4ypDHWmkJdr3bi5ai+a6ZokmQlkVon8A4hjcbesxWxUCrfSUpYSgEXNvrJYaS1JvGgYHOo9h+6jHs3/UMsqTpAKZDyvob/MuRdTBvq0Gj5aY3tbTmaXxvfhKg+zJS5wW6B/YmVXy5jf7j+7G959vYmDeXg5OCDL9OMQFHH84cOwOkp2C27Iydfzok5eyCVTSiKHU6BrpOo8H2EL614Cu+bTdRj7R0uMZSXTK+vmQ+Wre/iuOdJjQrZ5emWEVWH1kCnlYU2VpZW4wQuIqullbY0r+JBU5n7FFLh8TZKUjHRZgveyeuPSfH8CkHmL2Ois2/wboj5cifJTt8/pFAtBC4jSt9vbAFEde1DHM3MkqOwnzkEVxrqsLyxWmYmSAv8Rgn9GTLyKdl/CO1fX8HEZOnIkRgHA5ZQnqaHmO7k4qQNqwmsgQcn6LvrDVInRNZ3pCdcQM25dQAlf+EipxZvncYQWrlKRLQBoHpSJ6TAimIMNLCOUh2jsJJSM0pQFFVi2vZp2s/nrhSi8WGF2EaGHUVOWANPk/KKJ+aUfkesBAejCiBMThkh3v6RY+Fc+7l4BhRM2m0Mt29mLNQH0S48baV27B1vuR2xq/jQNECXgAGocxTU0RANweLVi0CenpxWRFV7bAYkZegR57RgsTMx7FGOo/3zv3WN+5myApzD1RubuQNP/KxoXAZJFsv+q7wcb8psnDEqw3dITs+xunXTsKW+wOsN9wbcUFZoRYJ3IPMvFxIPR/gnE05aDgwdLkXPZiLtNljnEtx9MNUsQz6R04gef+bdMZaNDtlchOYgZSlz6A8rRE7X2yDTb6RdfSjvf4YWg3bsGtlKnRJmfh+ZRZ+vnkH9nXaXE5ZDoTcUow9ae40jgsw5qUgu6x5+FGoIQtOt3QDRU8iL4U7ccVLkwvNIQ9ZcGrvDmz+eRbq9n0PqaHliheGcaynDklZT6FySQc2V7yCTqdTdk01b1ldj7TqEqxMHctgcg3dezdi8W4ripr+FbsL5vPOOI5bVzSoLkdDVx49inX2GuinJSBh2sPYaV+NrqObkOEM9ErC/KJatB95DFfKMjBNfs545t/B/Ng+mE8Wu9Lo5mNd/TFsue9tGGZOcz3PPHMF3r5vI05W/iVmcbyNhqYwOTIK759dXG8rFxIgMOI/V5TWnRRd1lve1PIXu7lO5AJCKm0T133OhPeHLB//wknghjDXrRCQykXbdfvoFQ2aRVtdqTB42o2hVNS1mcWgJ+f1NlEqjd5OPO1pZPtzt8lQ5fHUy89xE2AfGzc6ZiSBUQmo9a8EOefkuPbIlSJHD0ah2JEDxJpIYIIE2McmCFBT2eWdwt5C3c7t2NPuivmW1u7FoefXY0lqqI8fakqhqBdGrX9xMiTqTUsFSIAESECNAPeHVyOjxeN0yFq0CmUiARIggckgwP3hJ4NixMrg5qcRQ82KSIAESCDCBNz7wxepVOvZH54vflIBFOHDvEOOMHBWRwIkQALaIMD94bVhh2Ep6JCHWfAbCZAACcQBAe4Pr1Ujc8paq5ahXCRAAiQw6QSU+8MbuT/8pPOdWIF0yBPjx9wkQAIkECUElPvDv8794TVoNU5Za9AoFIkESIAEJpcA94efXJ7hKY0OOTxcWSoJkAAJaIMA94fXhh1CkII7dYUAiUlIIN4IqO0kFG8col/fa+iuWY3MbZdQ1PRTvFLwIN/UpwGjqvUvOmQNGIcikIDWCKgNGFqTk/IEJyC/CnJp2nq0qiWTytF2oRI5fBBZjVBYjqv1LzrksOBmoSQQ3QTUBozo1orSk4A2CKj1L64ha8M+lIIESIAESCDOCdAhx3kDoPokQAIkQALaIECHrA07UAoSIAESIIE4J0CHHOcNgOqTAAmQAAlogwAdsjbsQClIgARIgATinAAdcpw3AKpPAiRAAiSgDQJ0yNqwA6UgARIgARKIcwJ0yHHeAKg+CZAACZCANghE7cYg2sBHKUiABEiABEhgfASEED4Zo/L1i/5K+GjEHyRAAiRAAiQQhQQ4ZR2FRqPIJEACJEACsUeADjn2bEqNSIAESIAEopAAHXIUGo0ikwAJkAAJxB4BOuTYsyk1IgESIAESiEICdMhRaDSKTAIkQAIkEHsE/j/vHBSS6ce1VQAAAABJRU5ErkJggg=="></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following electromagnetic waves has a frequency <strong>greater</strong> than that of visible light?</p>
<p>A. Ultraviolet<br>B. Radio<br>C. Microwaves<br>D. Infrared</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 3">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<p>A light ray passes from air to water as shown.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZsAAACaCAYAAAB/s+XpAAAZK0lEQVR4Ae3dD1RU9YIH8K815LgPPGKhx1mXbFFXQZ+6YYgPeo9StDVIz6zaPNuV7KU5prnQHp/LvH1EGOsJ3HbZJ8/pZLJFlC3HCcyEtUMGCZgdNR3XeFDGsfEVJznqmJh03HPvnRlmBhhmYP7cufP1HOP++d3f73c/vxtf79w79466ffv2bfAPBShAAQpQIIACdwSwblZNAQpQgAIUEAUYNjwQKEABClAg4AKyDJtz584FfMfZAAUoQAEKBE9AdmFjsViw48UXUVVVFTwFtkQBClCAAgEVkF3YaDQabHnuOZgOHGDgBHToWTkFKECB4AnILmyEXU9ZsAC5ubkMnOAdB2yJAhSgQEAFZBk2wh4zcAI67qycAhSgQFAFZBs2ggIDJ6jHAhujAAUoEDABWYeNsNcMnICNPSumAAUoEDQB2YeNIMHACdrxwIYoQAEKBEQgLMJG2HMGTkDGn5VSgAIUCIpA2ISNoMHACcoxwUYoQAEK+F0grMJG2HsGjt+PAVZIAQpQIOACYRc2gggDJ+DHBRugAAUo4FeBsAwbQYCB49fjgJVRgAIUCKhA2IaNoMLACeixwcopQAEK+E0grMNGUGDg+O1YYEUUoAAFAiYQ9mEjyDBwAnZ8sGIKUIACfhFQRNgIEgwcvxwPrIQCFKBAQAQUEzaCDgMnIMcIK6UABSgwYgFFhY2gwcAZ8THBCihAAQr4XUBxYSMIMXD8fpywQgpQgAIjElBk2AgiDJwRHRfcmAIUoIBfBRQbNoISA8evxworowAFKDBsAUWHjaDCwBn2scENKUABCvhNQPFhI0gxcPx2vLAiClCAAsMSiIiwEWQYOMM6PrgRBShAAb8IREzYCFoMHL8cM6yEAhSggM8CERU2gg4Dx+djhBtQgAIUGLFAxIWNIMbAGfFxwwooQAEK+CQQkWEjCDFwfDpOWJgCFKDAiAQiNmwENQbOiI4dbkwBClDAa4GIDhtBiYHj9bHCghSgAAWGLRDxYSPIMXCGffxwQwpQgAJeCTBsbEwMHK+OFxaiAAUoMCwBho0TGwPHCYOTFKAABfwowLBxw2TguIFwlgIUoIAfBBg2AyAycAZA4SIKUIACIxBg2AyCx8AZBIaLKUABCgxDgGHjAY2B4wGHqyhAAQr4IMCwGQKLgTMEEFdTgAIU8EKAYeMFEgPHCyQWoQAFKOBBgGHjAcd5FQPHWYPTFKAABXwTYNj44MXA8QGLRSlAAQo4CTBsnDC8mWTgeKPEMhSgAAVcBRg2rh5ezTFwvGJiIQpQgAIOAYaNg8K3CQaOb14sTQEKRLYAw2YE48/AGQEeN6UABSJKgGEzwuFm4IwQkJtTgAIRIcCw8cMwM3D8gMgqKEABRQswbPw0vAwcP0GyGgpQQJECDBs/DisDx4+YrIoCFFCUAMPGz8PJwPEzKKujAAUUIcCwCcAwMnACgMoqKUCBsBZg2ARo+Bg4AYJltRSgQFgKMGwCOGwMnADismoKUCCsBBg2AR4uBk6AgVk9BSgQFgIMmyAMEwMnCMhsggIUkLUAwyZIw8PACRI0m6EABWQpwLAJ4rAwcIKIzaYoQAFZCTBsgjwcDJwgg7M5ClBAFgIMmxAMAwMnBOhskgIUCKkAwyZE/L4ETkdHB7779tsQ9ZTNUoACFBi5AMNm5IbDrsHbwGk+dgwVFRXDbocbUoACFAi1AMMmxCPgTeCkpaejsbExxD1l8xSgAAWGL8CwGb6d37YcKnCmTJmC77//HteuXfNbm6yIAhSgQDAFGDbB1PbQ1lCBk7pgAZqbmz3UwFUUoAAF5CugqLDpaKhCmbEanT02cGsHqo1GGKtbYV/k7VD0WFpRUVaG6laLt5ugp6sL1l6vi/cr6Clw0h58EI0ff9xvGy6gAAUoEA4CCgobKw69lIedBX/EJdsvfOufDuG5ggIUFh/HDR9Ho/fb48gvLsaeRm/uArOiyZiHqXMegdnXVHPr12CBk5aWhk8++cStNGcpQAEKhIeAgsIGGDtWQB+Lu+z2UeICJK6YhRj7Mm9/Ro0WS8ZIPzxvZTWjsKAKwL19bXvewuPagQLnnnvuwZ133MFboD3KcSUFKCBXAUWFjTty9Ky1uGixoD4/Ayr3lf6cj/4ZNGJ9MYhS+6figQJHuCutqanJPw2wFgpQgAJBFFB02PR01MGg1yOvpA5WB2o3mqpKoF2cjPnJwl8tjHVNqC4zIE+fh9qOvpLSJtdxvsHYV36xFgZjHbpsH9VJbZTALBY+i5Iteaho6HS0NtSExWKBIT8fHxw6hCtXrrgUdw+cdN4C7eLDGQpQIHwEAvoP/lAz9F79GvtMJiBpLgzPC73phlGbhEKXm7osKHyyb8GUpw0u3W4tXoVFzkssFuwzN2PfqVKc2a3DmFt/xj5Tva2EBUdMVThimoRsy/OIdd5ukOmJEyciNTUVR48eRfFLLyE6JgZCqAhnMQ888ADsgbNr1y783bJlaG1pGaQmLqYABSggXwFFn9kgqg9emOyoLnIEzcY99Wjv7MSZxkpk9xUbeCo1F7UtZrS3nUD5plSpjOl/0GYF1DPWor2lEini0lS81nIaZ8zPeBU0wiZ33nknlj36KP5t50583NQE46uvYsp99+Htt97Cg2lpeHzVKpw4cQLZ2dl4/+BBsbzw+Br+oQAFKBBOAsoOG5eRsOLDPwoX8YGUgnrkZ82CWqVCbEIGdrfswSSXss4zOhx553nMi4+FOlqDrPx/R464+mt8d1m69Uw9YZzjBoQJ4+MQGxvtXIFP05MnT4ZOp8MfysvRcvw4fv/CC4iKisLhw4fR9sUX+Oqrr1BaUuJTnSxMAQpQINQCkRM2vRdxSrywkoRnV8xydY/PwNO2ExbXFQCS/gaTXT5sHI9pYlkLLnzv6w3V/Wr3uGDUqFGYOXMm1m/YgDfefBMnPvsMLxYVob29HVVVUnB6rIArKUABCshEwOXXqEz6FJhu3PgB9m/M/MWY/k0MdofzpF9Ng59uMOvfqI9LVFFReHLdOiQmJkK4hiP8Ec6C+IcCFKCA3AUi58zGaSR+8OGEJD5uXGBvm3bql7eT9psGTAcO8AzHWzSWowAFQioQOWETcx+WJAnWZlQcOu+K3vUpKvtuSHNdd9N1dsi5IJ0rMnCGHAkWoAAFZCQQOWGDWDz8zHKR/sj2J1DW0AHhqzI9lpMw/HoNzvllUK7i4jfu39PxS8UDVsLAGZCFCylAARkKKDJsfuwHfRO3ACRoDdhmu7i/c006pmg0mJq8DPukb2T222qwBQOd7EgP/zdjY/p0TNZWOH2JdLBa/LOcgeMfR9ZCAQoEVkCBYRPT7/lkiSnTbbcma7C5+ku8sV3ndKtzEra9Xomt/e5Gs90yMMCdAzEThUHRYMrdtieuqefhhVKnC/XNrbgwwgdy+jLsDBxftFiWAhQIhcCo27dv3w5Fw8FvswdNFf+Fo11xeOyptZgVC/FjNOkSSwf0mnTUIAlvm/8Xad589X+gHeixiq8YUKnUUKuDdPHGqR/C0wWEu9SWr1jBu9ScXDhJAQqEXkCBZzaDoaoR1VWH8l3bsfSfjLD0QLrLrLcLtTueQY242c8xyefHQzu1p45GdHR0SIJG6AXPcJzGgpMUoICsBCLozAboPmnE7GUFgw5AzustKFoSP+j6cFnBM5xwGSn2kwKRIxBBZzZA7Lz1OH6gFNlJ0gsB7MM8KXU5Xt6vjKAR9olnOPaR5U8KUEAuAhF1ZuOM3tvTg57eXoTq+opzXwI1zTOcQMmyXgpQwFeBiA0bX6HCtTwDJ1xHjv2mgLIEIupjNGUNnXd7w4/UvHNiKQpQILACDJvA+sqidgaOLIaBnaBARAswbCJk+Bk4ETLQ3E0KyFSAYSPTgQlEtxg4gVBlnRSggDcCDBtvlBRUhoGjoMHkrlAgjAQYNmE0WP7qKgPHX5KshwIU8FZAQWHTg7oyA/IMRtTVVUCbrMHk5MXQl1SjS3iXQG8X6ipKoNcuxvzkZPFv5uIcGIy1sAjrhdcNdNQiT5+HPEMVLP0Eu1Fdkgd9XhnOBu8tAv164a8FDBx/SbIeClDAGwEFfc/GCqN2OgrdX4KmycXxlhXYvSAd+/oniGSUWowz1WsR29WA+XPW4BKAf61vw/pZ0Q7D3o5qTEnfDCAV1eZqpAz3YZ2OGuUxwe/hyGMc2AsKKF1AQWc2QN/bADTYWPo6yos3YduOVbjxXqktaJLw8vstaO/sxIW203ij2PZagOYatAlnK3Gp+K30fjW8+t6nLmP/2aG3xPlJ69YrJmiEHeIZjsswc4YCFAiQgKLCxm60qHgf8nVLkLU2H5uXxOMWxoursovLoJsXD7VKBVV0HDLW6pFt2+gu8acaD63NFacu/eFdnHe8k6YD+4ulU6anH/+FbQvl/GDgKGcsuScUkKuAIsPm/p9PcfGeoS3CRYsFu7LvxvmzrWioq0VF2Q7kaO2vFugrHnv/CqwWZ004eKJLnLKePIR3xKl1WOr00VrfVuE/xcAJ/zHkHlBAzgLBf8NXwDWSMH2i2rWV3k4YtzyFQpMX739WJWDV9lS8U9yMV976GM+nafHJmxVifSkFWoT/CwhcaZzn7IEjvIBN+KPTOb191LkgpylAAQr4KKDAM5uxmDDWOUN7UbdtgSNoEjN12FZcitf2v4/jLQccH6P9eKtP7v7Hfi3NmGpx0nIW71UJdxZokPPo7L5CCp2yB47pwAFUVVUpdC+5WxSgQLAFnH8rB7vt4LTXa0Gj7Xdmzp5GFGUl9LVrbUK7ONeM4xe6kRIr3WKmin8I25KAneZ6FP3LNbQKZVLXI0OjfC5hV+2BwzOcvkOFUxSgwMgEFHhm4w7yAy67LxLmey0wPrsV5xzrohxTQCwe2yJ9hNRaL90YkLN+KfpuhHYqqtBJe+DwDEehA8zdokCQBZQfNqqpeMR26WHfhnRk6g3YYdBjfnwyCuv7vnhz8/oNF/r4jFVIcSzJhPYXSr5a49hRlwkGjgsHZyhAgREIKCtsYgQJ8T9OJCpk7WjEtuXSq6DPmfaifK8Jl5CErXv2ozw3VSxb3/KF0zYAou/Hep20zSSdDrMj6bTGSYKB44TBSQpQYNgCCnqCwNAGPd1duHzjFhA1BuPjYuF2z5pbBV0oWTwHr5iBbe+3YfO8CE0bmwqfNOB2eHCWAhTwSSAyrnjbSNSxcdAM9ZiZnm503ejFF+/+XgwaQA9thAeNwGc/w+FNAz79/8XCFBhQoLOpGodPWjFHuxopGs//7B2wgjBcGFFh4834nP3v32BpQd8D1lbv+UdIH6Z5s7WyyzBwlD2+3LtgCVjx3gubsdMMbH0gO2LCRlnXbPxxrIzuu+azKPd17MiKvBsDPDHaA4d3qXlS4joKeBYY+5fC+iTM/qu+3zeetwj/tRF1zcbb4erpEZ7KqYZazRO/wcx4DWcwGS6nAAUGEuCZzQAqanU0g2YAF+dFPMNx1uA0BWwCXrw3C5DevaXX56G2Q3o5Vk9HnfgurbLqOlQYcjBZo0GmVo/qk9LzGZXgyzMbJYxiCPeBZzghxGfT8hLo7YDBm/dmwQrj4ukoFO90NWPzvFhYTxoxY1lBv/3ZWHka+Rlx/ZaH4wKe2YTjqMmozzzDkdFgsCshFejw9r1ZAEaPdeuq8wNMUvV4rXIPNuq24/F0ZQSNsLe8KOE25pz1XcAeOLwt2nc7bqEcAff3Zol7Zn9v1vYq1ACQ3pvlaZ+X43ClAbPUwJIMT+XCbx3DJvzGTJY9ZuDIcljYqSAKiO/N0hZB+PK48N6sS998h862z9Hw0Uc44m0/kuZiikK/dsOw8fYgYLkhBRg4QxKxgJIFfHlv1iAOib+aptgH/jJsBhl0Lh6eAANneG7cKtwF7O/NkvZDeG9WVkYypifMwOz4H1G0YIX4MZrze7MG2uOYuHEDLVbEMoaNIoZRXjvBwJHXeLA3QRDw6b1ZzncDuPXtptu8gmZ5N5qCBlNOu2IPHD5pQE6jwr4ETmA4780KXG/kWDPPbOQ4Kgrpkz1weJeaQgaUuzG4gO29WTVVgPDerOMfrMMvx1+GSXydSd9m0nuzxvQtiKApntlE0GCHYlftgcMznFDos83gCQznvVlJmD7R/my00VJXbT+C1+/gtcQnCATPOqJb4pMGInr4I2rnfXtvVuTQMGwiZ6xDvqcMnJAPATtAgZAJ8GO0kNFHXsP8SC3yxpx7TAG7AMPGLsGfQRFg4ASFmY1QQHYCDBvZDYnyO8TAUf4Ycw8p4C7AsHEX4XxQBBg4QWFmIxSQjQDDRjZDEXkdYeBE3phzjyNXgGETuWMviz1n4MhiGNgJCgRcYMBbn9va2vDM+vUBb5wNUMAucOPGDVy5cgV33303oqI8PDvKvgF/UoACIRGoOXgQ0dHRPrc9YNj89NNPuH79us+VcQMKjESgu7sbsbGxI6mC21KAAgEWiImJwahRo3xuZcCw8bkWbkABClCAAhTwIMBrNh5wuIoCFKAABfwjwLDxjyNroQAFKEABDwIMGw84XEUBClCAAv4RYNj4x5G1UIACFBiWQE9XF6y9w9o0rDZi2ITVcLGzFKCAcgSsaDLmYeqcR2DuUc5eDbYnDJvBZLicAhSgQCAFrGYUFlQBuBd3BbIdmdTNsJHJQLAbFKBAhAlE/wwacZdjEKVW/r4zbJQ/xtxDClDAB4GO2jLo9XqU1J532aqjrgz6vDzsqGiF8yWWrtYK6PV5qGi1SOV7u1BXUQK9djHmJyeLfzMX58BgrIXFtmFPRx0M+hKYxS3OomRLHioaOh3tdbZWI895+xwD6s52OdYLE0Idefo8lFXXocKQg8kaDTK1elSfdC3nslEIZ/ilzhDis2kKUEB+Ap11Bix8ci+g2Y4zJzZDeqaFFUbtdBQ2C/3V4ailFAli13tQrf9rPGcCsksbsXslYFiQjn223Om3d6nFOFO9FmPOV2DqQ9vdVufijGUrTpWsxj/sEhtyWw+sLq1HqW6WuNx60ogZywr6ldlYeRr5GXH9lod6Ac9sQj0CbJ8CFJCVQPwDS5Eo9MhSg1P2kwSrGXWO3/9VONVpP0VpR61JKJyElYsS0PFeqS1okvDy+y1o7+zEhbbTeKNYJ+1jcw3arIB6xlq0t1QiRVyaitdaTuOM+RngZLkjaLILKnHyy05c+PIEyjeliiXfyctBnf30yPkRgql6vFa5Bxt12/F4uvyCRug8w0Y6BPhfClCAApJA7FysEX+3m3HsrHSK0m1uRKuTz4effi3OWf/vGI4IU0krMTcOuIXx4vLs4jLo5sVDrVJBFR2HjLV6ZNu2t98MoJ4wDjG2ZRPGx0F4LGDNfxSLSxJzD2D3+gzEqVVQqTXIyq9GuU64wmOB8aDrx3vAchyuNGBJRhbySzcjQWWrVGY/ZNotmSmxOxSgQAQJRCPt75cDzSaYPjyD/AwNzEfqxP1fpMvEkap61Hx4Cru1CTB/+K60/IkHxY/bYrVFuKgtQk93F86fbcWlb75DZ9vnaPjoIymUhlK8JhU4t2s/KuJO4+rVm+KC0WOBuiop+Do7u1yuGSFpLqaEwQ0GDJuhBp/rKUCBiBO495ePYBJMuLS3EZaiv0XLAeFSfiY26n8DVNXjiOkYOv/zQTS+LV3iz8qYKhn1dsK45SkUmqTlPsH1/AkNTh/V5btf0rFVdmnvZ7hWlAH7p2iJv5oG3x/471PP/FKYYeMXRlZCAQooSUClWYDVGuAVSyuONnyMZuGkImkh5iTMxf1JwBHz52j44BDqheWaXKTGC79Ke1G3bQEKxWs4QGKmDlkZyZieMAOz439E0YIVqAHw461BpNSTMUusG1hUUInfLhyHG05lo6LGQCU0EzVW/PjN/j3QmLhxg1Qor8UMG3mNB3tDAQrIQiAOD69NxSvFzfjnNZvFHqWsnA81opGWnYqd5mbkb5BOPVLWPix9X6bXgkbhO5oAcvY0oihLul9NXGBtQrs40YzjF7qR4v7eJvE38RiMFcsAGD0JM2bNsM+JP4Vbsks/uIC5K5/DDKeqIX3S5lJWjjO8QUCOo8I+UYACIReYudh+SV/qypKF08SJaWlLXPqWvXimbf4HXHZZY5vptcD47Facc6yzfwBmX3AVF7+xAojGwicyxYVHtj8Bo/17OwC6z1bh8Q3FqDFV4diff7BvGFY/GTZhNVzsLAUoECwB9dQ0rHY0lomFU6UrI9Ez52ORY/k6ZMywXZ1XTcUjtjuc921IR6begB0GPebHJ6NQ/LxN2ujm9RuOraX7AczYmD4dk7UVmLLmd8gR11pQuCIZ8xdrxC9rzs7MwyVxuQ6/W+l6xuOoTOYTDBuZDxC7RwEKhEhAlYAVm5KkxjOXYKr9ji/1NGRIJyBI3LQU8Y7uqZC1oxHblksPoTln2ovyvSZcQhK27tmP8lzpuzL1LV9IW6jn4YVSWzoJS5pbcaE3AUWdJ/DyJqmBS073GSTqtuOweafTrc2jpXpsPxzdkOkEnyAg04FhtyhAgfAVEG59vixc3Y8ag/FxsbDn1IB71GMVXzGgUqmhVvddRu+1duO7q9JZ0JixExAb3bduwHpkvpBhI/MBYvcoQAEKKEGAH6MpYRS5DxSgAAVkLvD/duEPJ57mSjcAAAAASUVORK5CYII=" alt></p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p> </p>
<p>What are the change in the wavelength of the light wave and the change in the angle the ray makes with the normal to the surface?</p>
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA5IAAAG4CAYAAAA32dhrAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUU1kax+976Y0WiHRCDb13pNdQBOkgKiGhhBJCIKjYlUEFx4KKCFhAhqrAqBRRERHFwiCg2HVABhF1HSyIipp9yBJ2ds/unv2f8533y/fu++73bu495/8AIF9j8fmpsBQAabwsQbC3Gz0yKpqOGwEQwAACIAJ1FjuT7xoU5A8QzV//qo93kdGIbhvN1vr3+/9V0pz4TDYAUBDCcZxMdhrCZ5BoYvMFWQCgOEhec1UWf5a3IywrQBpEuGyWE+e4aZbj5rj7x5jQYHeE7wOAJ7NYgkQASH8geXo2OxGpQ0YjbMrjcHkIWyLsxE5iIfOQkXvAMC0tfZaPIawb9091Ev9SM05ck8VKFPPcu/wQ3oObyU9lrfk/l+N/Ky1VOD+HBhLkJIFP8Ox8yJrVpKT7iZkXtyRwnrmcuZ5mOUnoEzbP7Ez36HnmsDz85lmYEuY6zyzBwrPcLGboPAvSg8X1ealL/MX145lijs/0DJnnBK4Xc55zkkIj5jmbG75knjNTQvwWxriL8wJhsLjnBIGX+B3TMhd6Y7MW5spKCvVZ6CFS3A8n3sNTnOeFicfzs9zENfmpQQv9p3qL85nZIeJns5ANNs/JLN+ghTpB4vUBXBAAWICdFb96dl8B93T+GgE3MSmL7oqckng6k8c2NqSbm5rZADB75ub+0ve0H2cJot1YyG1tBsCxQyQSnVvI+e0B4DQDAGL/Qo6xFwBJJQCulbOFguy53OxWR04yEUgCWaAAVIEm0AVGwBxYAwfgAjyBLwgEoSAKrABskATSgACsAuvAZpAHCsAecACUgKPgOKgBJ8Ep0ArOg0vgKrgJ+sEQeASGwRh4BSbBRzADQRAOokBUSAFSg7QhA8gcsoWcIE/IHwqGoqBYKBHiQUJoHbQVKoAKoRKoHKqFfoXOQpeg69AA9AAagSagd9AXGAWTYVlYBdaBTWBb2BX2g0Ph5XAinAHnwLnwLrgYroBPwC3wJfgmPAQPw6/gKRRAkVA0lDrKCGWLckcFoqJRCSgBagMqH1WEqkA1oNpRPajbqGHUa9RnNBZNRdPRRmgHtA86DM1GZ6A3oHeiS9A16BZ0N/o2egQ9if6OoWCUMQYYewwTE4lJxKzC5GGKMFWYZswVzBBmDPMRi8XSsAysDdYHG4VNxq7F7sQexjZiO7ED2FHsFA6HU8AZ4BxxgTgWLguXhzuEO4G7iBvEjeE+4Ul4Nbw53gsfjefht+CL8HX4Dvwgfhw/Q5AiaBPsCYEEDmENYTehktBOuEUYI8wQpYkMoiMxlJhM3EwsJjYQrxAfE9+TSCQNkh1pKYlL2kQqJjWRrpFGSJ/JMmR9sjs5hiwk7yJXkzvJD8jvKRSKDsWFEk3Jouyi1FIuU55SPklQJYwlmBIciY0SpRItEoMSbyQJktqSrpIrJHMkiyRPS96SfC1FkNKRcpdiSW2QKpU6K3VPakqaKm0mHSidJr1Tuk76uvQLGZyMjoynDEcmV+a4zGWZUSqKqkl1p7KpW6mV1CvUMVmsLEOWKZssWyB7UrZPdlJORs5SLlxutVyp3AW5YRqKpkNj0lJpu2mnaHdpXxapLHJdFL9ox6KGRYOLpuWV5F3k4+Xz5Rvlh+S/KNAVPBVSFPYqtCo8UUQr6isuVVyleETxiuJrJVklByW2Ur7SKaWHyrCyvnKw8lrl48q9ylMqqireKnyVQyqXVV6r0lRdVJNV96t2qE6oUdWc1Lhq+9Uuqr2ky9Fd6an0Yno3fVJdWd1HXahert6nPqPB0AjT2KLRqPFEk6hpq5mguV+zS3NSS00rQGudVr3WQ22Ctq12kvZB7R7taR2GToTONp1WnRcMeQaTkcOoZzzWpeg662boVuje0cPq2eql6B3W69eH9a30k/RL9W8ZwAbWBlyDwwYDhhhDO0OeYYXhPSOykatRtlG90YgxzdjfeItxq/EbEy2TaJO9Jj0m302tTFNNK00fmcmY+ZptMWs3e2eub842LzW/Y0Gx8LLYaNFm8dbSwDLe8ojlfSuqVYDVNqsuq2/WNtYC6wbrCRstm1ibMpt7trK2QbY7ba/ZYezc7Dbanbf7bG9tn2V/yv5PByOHFIc6hxeLGYvjF1cuHnXUcGQ5ljsOO9GdYp2OOQ07qzuznCucn7lounBcqlzGXfVck11PuL5xM3UTuDW7Tbvbu6937/RAeXh75Hv0ecp4hnmWeD710vBK9Kr3mvS28l7r3emD8fHz2etzj6nCZDNrmZO+Nr7rfbv9yH4hfiV+z/z1/QX+7QFwgG/AvoDHS7SX8Ja0BoJAZuC+wCdBjKCMoHNLsUuDlpYufR5sFrwuuCeEGrIypC7kY6hb6O7QR2G6YcKwrnDJ8Jjw2vDpCI+IwojhSJPI9ZE3oxSjuFFt0bjo8Oiq6KllnssOLBuLsYrJi7m7nLF89fLrKxRXpK64sFJyJWvl6VhMbERsXexXViCrgjUVx4wri5tku7MPsl9xXDj7ORPxjvGF8eMJjgmFCS8SHRP3JU4kOScVJb3munNLuG+TfZKPJk+nBKZUp4hSI1Ib0/BpsWlneTK8FF53umr66vQBvgE/jz+cYZ9xIGNS4CeoyoQyl2e2Zcki5qZXqCv8STiS7ZRdmv1pVfiq06ulV/NW967RX7NjzXiOV84va9Fr2Wu71qmv27xuZL3r+vIN0Ia4DV0bNTfmbhzb5L2pZjNxc8rm37aYbinc8mFrxNb2XJXcTbmjP3n/VJ8nkSfIu7fNYdvR7ejt3O19Oyx2HNrxPZ+Tf6PAtKCo4OtO9s4bP5v9XPyzaFfCrr7d1ruP7MHu4e25u9d5b02hdGFO4ei+gH0t++n78/d/OLDywPUiy6KjB4kHhQeHi/2L2w5pHdpz6GtJUslQqVtpY5ly2Y6y6cOcw4NHXI40HFU5WnD0yzHusfvl3uUtFToVRcexx7OPP68Mr+z5xfaX2irFqoKqb9W86uGa4JruWpva2jrlut31cL2wfuJEzIn+kx4n2xqMGsobaY0FTaBJ2PTy19hf757yO9V12vZ0wxntM2XN1Ob8FqhlTctka1LrcFtU28BZ37Nd7Q7tzeeMz1WfVz9fekHuwu4OYkduh+hizsWpTn7n60uJl0a7VnY9uhx5+U730u6+K35Xrl31unq5x7Xn4jXHa+ev218/e8P2RutN65stvVa9zb9Z/dbcZ93XcsvmVlu/XX/7wOKBjkHnwUu3PW5fvcO8c3NoydDA3bC79+/F3Bu+z7n/4kHqg7cPsx/OPNr0GPM4/4nUk6Knyk8rftf7vXHYevjCiMdI77OQZ49G2aOv/sj84+tY7nPK86JxtfHaF+Yvzk94TfS/XPZy7BX/1czrvL9J/63sje6bM3+6/Nk7GTk59lbwVvRu53uF99UfLD90TQVNPf2Y9nFmOv+Twqeaz7afe75EfBmfWfUV97X4m9639u9+3x+L0kQiPkvA+mEFUEjACQkAvKsGgBIFALUf8Q8Sc574h6A5H/+DwH/iOd/8Q9YANCCXWSvk3glAExI6LgBIIL9nLVGoC4AtLMTxD2UmWJjP1SIjzhLzSSR6rwIArh2AbwKRaOawSPStEmn2AQCdGXNefFZY5AulAefE9lg20G6yCfyL/g6ASgOXEKUHbQAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxppVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+OTE0PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjQ0MDwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgr7rDBAAABAAElEQVR4AezdD3xU1Z3//3eb5vflYdc2mlr5dmkljSCukgURQal/SMTF4j/+VmXVCglIRWtFCYi/bbWFAJq1u7XSkBi6uq6W/1YtCiaorYoixI31JwXSoMVurEbS2rpsx2x+907undx7584kk9yZZGZe83hA7tw/557zvDPnzOfec8/9VIfxEi8EEEAAAQQQQAABBBBAAAEEeijw6R6ux2oIIIAAAggggAACCCCAAAIIhAUIJPkgIIAAAggggAACCCCAAAIIJCRAIJkQFysjgAACCCCAAAIIIIAAAggQSPIZQAABBBBAAAEEEEAAAQQQSEiAQDIhLlZGAAEEEEAAAQQQQAABBBAgkOQzgAACCCCAAAIIIIAAAgggkJAAgWRCXKyMAAIIIIAAAggggAACCCBAIMlnAAEEEEAAAQQQQAABBBBAICEBAsmEuFgZAQQQQAABBBBAAAEEEECAQJLPAAIIIIAAAggggAACCCCAQEICBJIJcbEyAggggAACCCCAAAIIIIAAgSSfAQQQQAABBBBAAAEEEEAAgYQECCQT4mJlBBBAAAEEEEAAAQQQQAABAkk+AwgggAACCCCAAAIIIIAAAgkJEEgmxMXKCCCAAAIIIIAAAggggAACBJJ8BhBAAAEEEEAAAQQQQAABBBISIJBMiIuVEUAAAQQQQAABBBBAAAEECCT5DCCAAAIIIIAAAggggAACCCQkQCCZEBcrI4AAAggggAACCCCAAAIIEEjyGUAAAQQQQAABBBBAAAEEEEhIgEAyIS5WRgABBBBAAAEEEEAAAQQQIJDkM4AAAggggAACCCCAAAIIIJCQAIFkQlysjAACCCCAAAIIIIAAAggg8BkI0kugcGhBemWY3CKAAAIIIIAAAggggEDKBZoONSd1n1yRTCoviSOAAAIIIIAAAggggAACmSfAFck0PabJPsOQpixkGwEEEMg6AbunCu1C1h16CowAAgj4Ctjtgu/CAGdyRTJATJJCAAEEEEAAAQQQQAABBLJBgEAyG44yZUQAAQQQQAABBBBAAAEEAhQgkAwQk6QQQAABBBBAAAEEEEAAgWwQIJDMhqNMGRFAAAEEEEAAAQQQQACBAAUIJAPEJCkEEEAAAQQQQAABBBBAIBsECCSz4ShTRgQQQAABBBBAAAEEEEAgQAECyQAxSQoBBBBAAAEEEEAAAQQQyAYBAslsOMqUEQEEEEAAAQQQQAABBBAIUIBAMkBMkkIAAQQQQAABBBBAAAEEskGAQDIbjjJlRAABBBBAAAEEEEAAAQQCFCCQDBCTpBBAAAEEEEAAAQQQQACBbBAgkMyGo0wZEUAAAQQQQAABBBBAAIEABQgkA8QkKQQQQAABBBBAAAEEEEAgGwQIJLPhKFNGBBBAAAEEEEAAAQQQQCBAAQLJADFJCgEEEEAAAQQQQAABBBDIBgECyWw4ypQxyQK/1+a5o1U4tKDr37B52tzaHme/+1Vz2ald60e2naWa5lDs7dr3aPXXhru3+9oqNcTbVezU0mhJSIeqZ7nLPbQbqzQqXTBZbVVD9R1aXd/mk1ybdi4+Gz8fGWalkUDrZpUNc9SzkXpzuM5ftUeZUw1me33Xm/LHq//Mzzh1YBp901OQ1d58xlKQrTTcBYFkGh40sjzQBE7QGeOHuTMVelsH3/kf9zznu9Zf65W3jjrnWNMH9Mre933mW7Pa3taB99yB5qBzztLpObE3YUnmC7Q3/0LLLpuoGct36sPMLy4lzEqBj9VQU6V6d/VnSYR0+Iln1Zg5kWRWHuHeFpr6r7dybIdA3wUIJPtuSApZL5CrL585RkNcDu/opdcOu+Z0vWlX63NP65e+P4ja9NIrv5HvIiOB0H++opdcC/N0zrhTlNuVOFPZJNDerJ33luq8iTfqscaPsqnklDXbBNrf0o4nmmOX+nC9djR+HHs5SzJPgPov844pJUo7AQLJtDtkZHggCuScfpbOHuTM2VHt2/VrtTpnRab/R+8cfDtmsHj0pVf1a98z6x/r17tfl/s65jCNO+OESMpMZJdA6PmfaOH9dWrJrmJT2iwUaG98Vk8ddp1F8yg06/FHXzQ6MPLKFgHqv2w50pRzIAsQSA7ko0Pe0kcg9xSdNSHPld/Qbw7oHb+AsNsz63u05x2/H0xtat7/B9c+NGSMxnyF65FuFN4hgEBmCXysxu31cvXxGHKxZp7vrHNDatmyQfVx703PLJXMLU2uhpatV9OhZse/9SotoK3L3GNOydJVgEAyXY8c+R5gAnkqGP5Fd54OxwgI39mrl5xn1nNP0OATnA1kjPskQ7/Rqy+6z7fnnjJMX+H+SLc77xBAILMEok6+5WrIpd/UosvGurv1h3Zr23PvZVbZKQ0CCCAwgAUIJAfwwSFr6SRwjIouKvbcJ+kXEBr3R+7drX2OouWet1B3zShwzPG/T7L916/qZVe/1jyd+/Xxynds2TlpjF63aZ2qFl+uEZFRDe2RDodrwtwK1dTu1KGoq6XvGyN7XuAe2bPb0WeNATBW/YN7m6H/oNUNPvcqtTVoc3WFysY7R5218rOpIfguaX3aX/QIf6ct3ml1RzZ9q7V67rmOcneWY119c49Gjmxv3ql1PynXFZERKL3bx9t/12hzI+as93R1btGGOV0jCHflOepD4pjRrraGrZ7PS5GuWPwj9bQ8jsSYRCBwgehurQWactHpOuGCyTrXeQ7OqEV++YtdMW4psLMV77vV9++2uZe+fb/tfPbib5/qvHj7ix6ZfMTczf7OPiPrxlo3VF+u01xtlD0Sd1cd1zUaevSyYOo/s9zJqgOT/1kL595sT6La1gKNuKxcVdVb1dAW1dg7DrZ3BPlTdUX1fvNDHL7/foJ9fIZdriXVjt8NoZ1aMsL+XWH+PVtLrBHDoz//Vl6i2nnTfbOnLT1XZase0s5m148dR37tyd7+zrG3529QAgSSQUmSTtYL5HxlmIa7ftT8RfsP/pcnsHhPz/9it+P+yFydOHyE/v7kk1xn1qPvkzQq3N82yX2u/Ysa9lVn1y6z7l+vG8afrRmL7tbq9Y2O/diHx+j+VbdWFXfPUcmEeappcN7FeYLOu+pidzDc3Rn+qCsFxn6GFGtS0TH2Do2/RoVfPU8TRk3T7cvXqr7F2W3Xys+iaRoz3psfRxIJTSZrf58YjV61EQibvitUVefsaNdZjh/M+QedN2+9T5BuF6Azb+dNnKMfrFyvNyIUPd3eTieov63as2qmxk/9jufz8pHeWP/P6r48QeWDdBCIJeDXrdWqY/LH6+Lz3HVg6IWn9XzC3VuD+G6b+e+v73ey6jz7mJyo87/uvvobevEVNUbqL3s9ow1654D2e+b73+bhc89/v9yqkeo6MKjPmmFunDjYYJwwPs1sT6LaVmNwvsb1Wr38O5ox6gKV3bsjTrvUdfzCU+0HtXnBtSp13n8fatSG5bdq+dbfe1Z2vDWCz2fvsPLjat+svCz6hqZE2kfbfZGnLT2s+jXfVenESbphU5Pn91Pnvvr2O8eRXyYDESCQDISRRBAwBPJP17hTnSPuGEPSv7hXv3PitP+XDv7mL445Mc6sR3WL/UiNr7zhDgwHjdLY0x0BW9sOLbvqTu1wBWqOXXknW3aoYkGldjrOVuYUXagpQ5zRcJvq73s45nMqo68UmF3OLlRRpLut2ViU6arlO7ofEMbMz6wyrd7jDG69me7uffL21/7m/Zoza4UnEPbmxwgIt9+p6+71e6bdUTVVL+zGonP72Qt+pqZ4J5G9u+3V+//Siz8o1ew1De7PlSstMz8/0G21+3wbdNeqvEEgGQJRJ6ucdUx0gKPuTn755LHv320z0f76fievzuuiylG+9+rv0de1+9fenic+Qb+ZyHtNana0M53pHtaeF9/p2oVxKtXddjgWJW0y9XVgMJ81A6TtZa2+9jot8T1h7AUzgrP7b9TsBfFOctrbtOu/fvo93bHdeaLUWpY7VhdfcKK9ouev0Rvg/52j+f/hdwLbXtVuT36lV43fBfHbnsPaseROrWvyXJkM4HeOnRv+BiNAIBmMI6kgYAgM0ZgJX3FLvLVbex1nx6MCr9yTdPJX/o+Ud5KGnegM4DzdYtubtPsld4CVO2GciiKbGF1Mq+7Vhp4GkXYuW7bpP+oc1zlzTtWkS53dbI0VYw6r7/OjIfcCfbt0lDrjSOMqan2lbo4bqNgZsf6GGlR1ozu49awR521y9xd6s1H/n+dMu39mjBMIxvPuHnccd3O99qaHVb56V5ygzU7NbGxXqmJTssdiPawX6t7sQX4+UsODD+mFqB+Cdn75i0DyBKLqTJkn30616pgc5X21UO6ftj3p3urOb1+/22Zq/fP9Tm6d51KKaqP8HnHlMyCcmUjoDb36n57HE0U9S9l5XF17TuKb1NeBQXzW1L5PNXPmqyqhRz5ZJymX7ujmNpKQPmh537ddyD1vss7Pj5wl9hyXo2ppcY/h4FnBemu0J8uv0VU9+V0Q2qOHN77pOIkZ0O8c/4wxt5cCBJK9hGMzBKIFjtHpY0fJeU1Sobd18J3/sVYN6Xev7XGNPBipmKMCOM99km1v68B7zihmkEaMP73r/sjWp/VAjXFfg/M1eJKWbnmta9S71zdqaYn7aZfGaU3PcyuNez1nzNDoSIBqJtisp7a/5ajMrZ1EXSmQIuUxV2l/XWv/aaPnSuSxGnn1j1XX1Dka3/6da3WjN08tG/W9qtej92ftNuafFO0vt+gqrYy4vqaNyyZpsDdTUT+cfq/HVzygBuchNLcZXKIba+u1Pzw64Vuqq71ZxYNd+N6UjfddIxruq53l/rwZOZlZ2xA55m+unujqMu2TmHpUnpY92t1sf479UmEeAskQML439z/mqjO9Xeeje1EYcUuvurca36xefbfNcgf5/U7AMUV1XjhHUW2UzyOufAaE6yxNq17e7e6mGNUF1tvDJiZDsPWfuZseHfeA68Ae7TOqHTFza4yzsPWfde9eT2CeW6SZy2ojbWvT65t1z4IST9tkBJPrl2tl/ftmQgm+Yo3J4E1miIoXrrXycVB7Ni3UyFhNmrP9a6pX1dVFnvbK06srsN853jzzvi8CBJJ90WNbBDwCuX8/Tue4Kk3nWdv3tXfXAccW5v2RJ6nzDp//o6/EuU8yqtHVV3TOmY6gMH+aqncbDceyO7R0ySyj4j5JM1csV+lox1A8eWNUuvo7Knblz2iWWo/oT45c5RRO0dWu+46MyvyJZ9Xo6WoZfaXA3dBEL8/V4FmV+umKr2uodVIzp2CSbl1braVnHOvIgf/+HCv4TqZkf4Ov0pqHvq+ZEdd8jS77nhaVuO/TMru5tR5xdPtq3aVtL3jO1uaO19JH7tetxQXW1ZVBGlr8Hf3k0R9oUrfBpC9B4jN9y/ND3b9guCetP+jAbz3596zBWwQCF4j63vh0f4wKcIxc9KJ7q3y/Cz34bpuFjsqnMS8F3++U1Hlm+cKv6AHlvPdJRg8IZ28b0nv733ZcCYvuzeLuYWNvl4K/vsc9yXWg7z57+FkzTh48eN9z7iuGuaM1/7FarSybGGlblTda08qr9FTtVZ5g8m1tfeSX/gMlubiNgHDZRu2JPIKlQdXTv+RaI/qN8f1c8EP95LZJVj6MHgNjFui7pd72xNxyuOav+deu9i+nQBfedYuucJ2JN1bbf1DN9gnYAH/nROedOb0VIJDsrRzbIeAnENX9x3HWNupsrbMrj889KJH7JKOvZMruEuvMg9lwlJWp9IZV2nrgOa0sPsG5tHP6c8fJ2zMl9H6r3Oc2fe47iureGv1DQK77J/yWX6BF5cVW4OzIWs4wTZ093n0mMmp/jvV9J1OxP6ORnDpd5+V5u/b4eBmB5Psf/jmS09B/vqKX7MYwPNdIq/Q2XV/obTWlnIJLNH+qp3txJKUgJwZp5NxvamJUeXyurHvKE2QuSAsBfwHjystzT+uXru+Ns860t4oOcMyeFt2P3mpvb/7t/Xfb3Lp/vt+pqPPM0nW9oq7+uu6T9A4IZ1whm1UU2dgddHq7wLpPQkY2SvpEf9SBffus+Z08GFK6TIvGOE4aR9yMQK54YdSJzp5csc8t+Y4RmI6Jbq8jaftMuG5tsZdHnyQ3l+SWzNfc0Y4xHsIz/1YnD49uE+2Uwn8D+53jSpU3fRAgkOwDHpsiECXgc3bcHrEu6mytNxiMCkLt+yS9VzKNvZ46Vmd4I8KozNgzjAbeeLxDTfWPtGT6t7XBc++6vVbXX5+g1tu9Napbq3G1cepMFUfy5P2hYKSec5yO+5w3CDP3auzvjLEa0ZUBYyrRK2Cp2F++zh5baF09dGY2R5877jif+fY6Ib1rdOV1s8dKy9zG74exnVaQfz1XtYNMmrQQ6LOAd4RrI8GoEaE7dxIV4BizQy9s0BbvQB0x8xTr+9jdd9tMsL++36mo8zxgOf9XJ5/yWcdMZ48bz4BwQ87RzG+c0zUKuDPo9F7BdZ2EdCSf9Mn+qAP79lnz3h4j1z3DfmA+Jzp9u8w6tx2sK2YXd90641wUb/rEQhVEnZj0+w45e2M5E/yiCkd4e/c4l8ebTvR3Try0WJaIwGcSWZl1EUCgOwH77Nv+rq4n4SuLRrfA7fWue31c9xOayVpBaNUa+15H6/7FKz7nGenVOKM54Qx9OWZWjKHgN/1ce97fpycrnY+YiLlB9IL8c3X11JNUv/5ta5nV3fS2MRptxILRZ0ULdPlVExxnL/+sD993h046ul6lw9ZH78t3jvuKnu8qrpmp2N+XdXKB80eUKwMJvomflv0omcOuqzEJ7qLb1T+v4/M8/Zy73YYVEEiRgDfYMK8aukaEduQjqu40llkDdVxfPibOSR47jfjfR3utnv+Nn14w3+9U1HneEltBSd0Oq32zetyUDVe+Z0C43FOGaehQowOjUcV01mPWyUHjKlTUrRoJnRj15qkv7/ujDoz/2YhfmpCOfPhH9yreE9LupcY7+0TtDr0RWdamfU1/kIpjBW29zOPxx+s4v3PFkf3aEzk67vhje/C9tNf3+xvA7xy/ZJmXsACBZMJkbIBAPAG/Stu8srhfx+83Ku7Iy++MXHQQGn6e5KHj9ZIroohxRtN8gPB9y3Wn89lPkf0lOmE9U3L9T7qC38OP6YGt1xj3SeSp0RMUR10pCL2rg/s9gWRCWTiqAwfeNX6sDHd3eY2VRqr3FysfvvP/ouYDv/NdEnOm3QU5qYFkzL2zAIF+FvDr1mqczFozQ8PX9DRr7pNfPd0q8fX66fvdL3We3Vtlh+qtusnucZP/zl5HO2V1Vc3/c/iRWPWNZltgP1fZ2350d2I08SOSuVv8VW2tzhENjJLG7OnTB4VBBSocMkBPMgb6O6cPRmwaEaBra4SCCQQCEvjKGTrHVQkbDehLP9MTrsFW/O71sRtpRz4Ov6JnNr6ofY5Zyh2ps/7eOTiNsdA4Gxz1AGFrm9yiWVpsDsLzT8aIbvtqNbObWxDsXUV3F7N+CPh0a426UpDbg3sd7B0F8TfV+0soz59VwbDY1499k/rTEXmeHuK7GjMRyEwBn26tvSlowvda92Yn/fT97q86L3+8LnYOxhY2/kite3c72qkvathXzatdzkdiGYF9+LnK3i65fm1hb45DNmzz/ygv/3PugrYf0ZE/eUbCc6+ROe+S8Dsnc3D6ryRckew/e/acqQI5hRp7Tr6q1rdYJTQa0E2bu67smXNjdUex7pOsj1yBfEtPbBnU1U3W3DbqPgTj3oDnH1Sl6wHC5mM2VuqH3+8aIdXcVKGd4T89+i+qu5j1Q2CWHGeezZR6+ENgyA3a+Hx5uGtsj/bf15VSvb+E8vs7HWz+i0Hn37UoqutXQmmzMgJpLhDVrbW35el8dNGi0T3p3trbffht10/f75TUeXkqGP5Fqc64XSP8Mrus/pfeOfh2VzsVeZRHuzUauXWrh/lc5f2fd49gHeO+Vz9V5kX3Woo8YizfM3BNBMu4uu8K8s0FeRpRaBzDtHol6XdOWhkMzMxyRXJgHhdyldYCx6po3Mi4XTKj7o+0y2sFb/Zb8zES7of8+t0nZDzg9+md7uc1DrpY377LE0SaiSZ0pctn0Bfjh8Cu3ft0oCuDyj1jhqYXeRsx55loa+X3mtSctIfap3p/DoBuJ3P1t4UFnuc9Rj9XrSsZn9EYuxYyhUCGC/h1a+1tka3urUm9YNNf3+/+qvO87YI5Qu7P9MyL70QOUtejPDy9bIznKu9//g3tj3TZ92vPIskwESVgjML61UKd6Jof4znPkXV8ru779WqKrD9QJ5L1O2egljd98kUgmT7HipymjYBfZe/MvN/9kfZy+4yj/d7797MafvL/9dyk/gc17bPPDlvr+3Z3OaqmzRs8w+l703e/zxl9jb7tfEai8Xy2x/59j2MEUuNemNlTVBh1g71POULPqXJVveNZYu599e1dqveXWG6jny9q/MCtuVfrfEaVbG96RMtr7AGXEtsPayOQ9gJ+z8kzr7QZIx83RZ5pF2O6aaPmu24rMDRS0L21f77f/VfneW97CDX+Qk+8Zd8T72nfXKOR71f18n939M7xa8/S/hOc1AJ47c1Rgw/XLFflnlaf/RpX8ervV2Xk6nHnKjFPZPukMHBmJe93zsApY3rmhEAyPY8buR7gAtGVvTPD8bqCes7gOjcLTw/TuDO8z4f8Gx1/gufGRzNoW1yrBvsKYFuDNiz+hqYs39XV/Sgqbb8Z3qHD2/RGoz2Sq7F+zGHbjXKUzNQVg5037IfUsn6Rvrn4sa58yRyy+zEtuaxIIy4rV1V1tfGYkq2O5X558puX6v355SHOPGsUXNcaoV2qmL1Q/1zfbCiYr6M6VH+fbph9jxoiZ+xdW/TgzV+0b/dbncF6++/U0Oj346IHybAKAv0kED0idAJXraJ6dJiF6O6KTQAFTdn325nXfqzzvM7vt6glUmd5BoOzbvVw5jwyHbP9iKyR4EQW1H85p2n6dWPcPZ5CDaq6co6WVO/UIfvqu9Hmb141X1PmPOrurWQMYDdn4eTEH+2R4JEIfvVk/s4JPrfZlCL3SGbT0aasqROwn7d12HOl0MxBrPsj7dxF3SdpLzD+DhmjMV9xBmfmMu89K+Y8I2irW6EZo1aYb/rwsgPbrlH6nInFPbOZd67K5o7RVlfw+pHeWL9UM4x/0a/1Wt1ozX3wVdU8/X1NjHomVfRWkTmp3l9kxz2ZMEbBnT9bo7escAeJLXX68RzjX0+S8Fknt+BkDTPmdw3rbviuuVpjrJEtB82q1eurJ7p/dPikwywEBoaAX7fueCfevLm2ul0aj1A6HFlkdW+1Hl0UmR3oRHK+391msd/qvGN0+thRGmQ429chI3mN6jZp3ephjBkQiTWtleO2H5EEY09kZ/03SIVzvqvbts1Sxd6PunBCjdqwfI7xr2tW9JTxvOdZt2me8QiW9Hsl83dO+mkMpBxzRXIgHQ3ykkECJ+iM8eZP/OhXt42n92yvI4lB55yl06O6kR6j0fNv00zX1T/HRq7JITqv5DR3YLH/oJq9LbxzG+8ofZFl1hDvkffeCaPBK/tXrZl1kndBN+9P0swV30ksiAynmOr9dVMMz+Kcwmu0avF4t71nnc63xkBJJeM12HeZZ2bUCMHu5e2tR+QZLN69Au8QGEgCUSNCG5lLcDAW394gKejempTvd7fHpv/qvOjuvFZmo54JGetWj+7aj24LL2Vr/ZczQtdX3qlJPWrzbUcjiLzoB3qkYpLjec/2snT4m+TfOelAMEDzSCA5QA8M2Up3gVx9+cwxxuDn3pfn/hHv4vB7n3tfwvPzdM64U/wDkbxiLfnxfI30Xqx0pp9bpCurH1LN6jk617ne0de1+9cfO9f0TH9Jly+8MrosQ67Ut674kmdd79sTNLFinWoWlvQsMBpcohtr12l5sbf7rjfdWO9Tvb9Y+fCbb/7ou1+PLpsUx8IIIhdU6ad3FqtHAn7dnBy7Dr3fKsc5a8cSJhEYeAJ96tZqF8f3RFyzHn/0xSTdn23vOAnfbzvpuH/7qc7zPcHo/0zInNPP0tmeuy8k+xEhcQsXf2EW1385BbP0k6d/ppWzivx/E7jkhqh42aN6au0sDY06Ee1acWC/ServnIFd9IGcOwLJgXx0yFtaC/g3nj3ppmV3J/UWP17Da5z1HbNIW3dv1j1LZrkDSiOAnLnkPm00li2fVKAc1+AH5j72q/b+pxXvbrros/yJ3LdUoIm31eiFnbW6c9k8FUedRTWCp1m3amnlZu3ZVaNbi408eoueyPucFO8vkbwZd6aMLlujp7bcp6ULnMG1cba4ZJ7urH1cm8rP9jljnKsvGM8Pi66wzR+v6/R07V2aX+I8bdGZ3tLrzvRJK6EMszICKRLoa7dWO5veUUXN+UZX/y0bVJ/0h7MG/f22y9TN336p87z3z5t5jDF4Tu4pOmuC51FHCV5p9hfI8vovb7Rmrn5cb4bb1ls1s8j9fOnOZ0gbbf/rz6m6bEwGtAXJ/Z3j/xljbncCn+owXt2txPKBI1A4tCCcGXP0Ol4IIJChAs3VumLiCse9j4M0ctnj2lo2PEMLTLH6IkC70Be9ftiW73c/oLNLBLJLIFXtAoPtZNfnitIigEB/CIR2asnIb2vfZWW6ZJjRxyvnZF143cQY3Ywy5QHS/QHNPhHoBwG+3/2Azi4RQGAgCBBIDoSjQB4QQCCzBT79OR3/haPGiLX/HLnKWHG3NfjBGud9K61q2FSjB+55zj3CYdRIiJnNRekQSCsBvt9pdbjILAIIBCdAIBmcJSkhgAAC/gLWACBVxnD5XS/jvq3t5SopLO+aFWOq25F+Y2zHbAQQSIEA3+8UILMLBBAYiALRYzcMxFySJwQQQCCtBRIZutxT0Nzxuu2Or6fhA6Q95eAtAhkrwPc7Yw8tBUMAgbgCBJJxeViIAAIIBCSQN0nLH/2hrvSMrBc39cGTtHT9/SotjBo7P+5mLEQAgRQL8P1OMTi7QwCBgSDAqK0D4SgkkIdUjcKUQJZYFQEEEhI4qkP1G/Xs/jf0ZOV6vRHybmw882vBP2rcyWdpxvTRGTBku7d8vA9agHYhaNG+pMf3uy96bIsAAsEIpKpdIJAM5nilLJVUfTBSViB2hAACCCDQJwHahT7xsTECCCCQcQKpahfo2ppxHx0KhAACCCCAAAIIIIAAAggkV4BAMrm+pI4AAggggAACCCCAAAIIZJwAgWTGHVIKhAACCCCAAAIIIIAAAggkV4BAMrm+pI4AAggggAACCCCAAAIIZJwAgWTGHVIKhAACCCCAAAIIIIAAAggkV4BAMrm+pI4AAggggAACCCCAAAIIZJwAgWTGHVIKhAACCCCAAAIIIIAAAggkV4BAMrm+pI4AAggggAACCCCAAAIIZJwAgWTGHVIKhAACCCCAAAIIIIAAAggkV+AzyU2e1JMlUDi0IFlJky4CCCCAQBoK0C6k4UEjywgggEAaC3BFMo0PHllHAAEEEEAAAQQQQAABBPpDgCuS/aEewD6bDjUHkApJIIAAAgiku4B9JZJ2Id2PJPlHAAEEghGw24VgUoudClckY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEeAQNIHhVkIIIAAAggggAACCCCAAAKxBQgkY9uwBAEEEEAAAQQQQAABBBBAwEegnwPJ32vz3NEqHFrQ+e9rq9TQ7pNLZiGQFQJt2rn4bOv7cLaW1LdlRakpJAIIIICAKUAbwOcAAQTSS6B/A8nWXdr2guPH8uF67Wj8OL0EyS0CCCCAAAIIIIAAAgggkGUC/RhIfqyGmirVh5zizXr80ReNc3K8EEAAAQQQQAABBBBAAAEEBqrApzqMV79krn2PVp9/laoOG5Hkaeer+I8vqd6czp2ke3at0bT8nH7J1kDfqdkN2Hw1HWoe6FklfwgggAACKRCgXUgBMrtAAAEE0kggVe1Cv12RbG98Vk+ZgaNyNeS8Obrh0s4ASaFd+o/NB8Stkmn0aSWrCCCAAAIIIIAAAgggkFUC/RRI/l6P3/+YDoep83X22CKNuqhYQ8LvP1LDvz2uRiLJrPogUlgEEEAAAQQQQAABBBBIH4H+CSSdg+zkjtRZf3+scoou1JQhuZ1yDLqTPp8gcooAAggggAACCCCAAAJZJ9APgWS7Wp97Wr8MD7KTq8FTZ6rYvB8y5zRNv26M0dHVfO1X7f1PqzXrDgcFzm6BeEO/71fNZadajwaZpZpm8wvUqoZN1Vo999yuR+gY99COuKxcVZsaej5oVVuDNldXqGz8cEc6wzVhboVqYqbjyM9l1TpkdEZva3hMSy4riqRh5qOmvjm6m3p4fz9yrWv25Q/nu3anDvW4N4JZ/nWqWVWqCfYjhCJ/i3TF4h+pptv0jupQ/b/7pGGVv9vtHZ/YQMoVYH4cWWMSAQTSQSBeG2Dm31HvDg2wHcjqNsB0DbDe7XM7EGBezKLxQiDJAqkfbKd9n2pmzlLF3o+Mog3X/C1btHj0MZ3FbN1s/Jhd1DmSK4Pu+B76VN0867tzZiZZwPwRcbFK17cY+xmsmbXbtLI4z9qn+QPiclU0HjXej9XSLQv14XcXqqrR/B75v3KLFuqRh27RmLxYA1cZgVj1Ui1cvkPmHmO9/NNx5KfoDm2/TyqfvEIN4RNEdkp5Kq58StXTv2TNMBrIHat0y7d+qjdc69nrW38HT9LSNRUqHZ3vWWC/NYPWWt2+4B7Vt8RLyE7vEt3z6D2aVjDITqDzb9se1Sy6RRV1nZ3s3Qsd73JHa/5j1Vo8JlZ+AipXYPlx5J3JrBCgXciUwxyvDTDL6Kh3A2kHsrwNMEkDq3cDaAcCy4tZMF7ZLpCqdiHlVyTbGx/Xw+Eg0jjEQ4o1qcgKIs0jnj9eF59n/XAOPad/qXk9+mpGtn8yKD8COqB1C+bHDSJNpFDj/Zq96PEYV/ZbtWdVma7qJoiMpDOnVk2xrhS2v6iV193jCSKNLXPH6uILTjSTMF5H1VR9vSaXdRNEmqu27FDFrDKt3uPfJ6G9qVals1b0LIgMp/ekbr/mX9Tgyv/72rliUfdBpLl9qEFVVy5UTZMZxHtfQZUrqPx488d7BBDITIG+tgPZ3gaYn4qg6t0g2oGg8pKZn3ZKNXAFUhxIfqzG7fXWIDvGaK2XXqgi18WSE3X+18da3VtDOvzEswy6M3A/O+Ss3wTa1NJiBjVDVLygUhtfPxh+HEzTobdUV3uzigdb9xoba4TqqvRgw8eenBpX9OordfOaBtnX83KLZmlpbb32G4+VMR8t0/T6Zq2cVWR9F4109v5I5bX7/E/svPl8+NE9uUXfVNXOt7rysv7Wzm7rxlZt9Xfr2uW7rP0ZXdpL5ulO5/7Ceb9L80s6h9wKB283Vmpnmyv6M8phDNS14oFI0Grme3HlZu2x82393b+zVncuKDGu61ovz33X7cYVze+tf7tzYW6RZi6rVV2TVfZwGq9pY+UNXZahPXp445ue8gdXrmDyYxeWvwggkPkCfWkHaAPMz0cw9W4w7UAwecn8Tz0lHIAC5nMkU/Y6sr2jfNywjq+eNLTjqyeXdWz64JPoXX/yWseqCdY6J53fUV73h+h1snhO2M7w45WJAkc66m8f3/n9OGm88dk/4ijkbzqqLx1hLTO/P1M7Vr32gWO5Y/KDTR2lJxvrmN+zk0Z1lG5817HQnHy3Y9OcUZG0Trn03o7Xjvh8Fzv+u+Pg2is7TgmnY6Q1YWXH3shq3vzE+D6bu/vkrY7qqSOt/Y3smL72rY5IMuZy1+uDjtdWTrX2OazjvJWvudd1lm3c0o5633zbCf7B8Dzfx+GvHc1rZ1rzffZhb278/eTg2o7ptqWr/ObCoMoVUH4c+WYyuwRoFzLleMdrA8wyeuvd3rYD2d4GmJYB1buBtAMB5cUsFi8ELIFUtQspvCJpDLJTt0FbrXuacs+brPPNQXa8r5xTNcl+pqTe1tZHfhmja553Q94jkC0C5iBVCzQv1j17zi7iRpfS9z/8sxvGOWqycZ/ynLsWxLiPcpAKp83UufYFTs9VPWeig6ZepUv9vs/GSs7u7Lkl31NV2Qj5fPOt5PI15rZlmhMewdmnV0L+NFUfsK4c7lqhiTHv/zSTy1PBsC9a6fo4WEs+aWrS77wXPq1lOYVl2mjv71flGu3IeKDlsvZn/ultfhxJMIkAAhkv0Id2gDYg6tPR23o3Ge1Ab/MSVShmIJACgRQGku/p+V/strq25encr4+X/9AVx6go8kxJo0vdC0/r+dYYv/JSAMQuEBh4Ap/V3407zQiTYr1O0Bnjh8VaqNB/vqKX7D6t3vuUvVs5A7dDz3QNjOVaL0/njDsl0g3Wtcjs1vrbJr0Xnhnve+/YKqdQY8+xaofDe7TnHTuzjnViTloj3lVXq2rxDE1evttnzVx9+cwx1nNrQ2rZXq6SCaVabWzT/SivdnJBliuI/Nj54i8CCGSHQO/bAdoA8xMSRL0bVDsQRF6y41NPKQeewGdSliXXGbA21S+aoMJFPdh7qHPQncvLx8S5itGDdFgFgYwR+KKGfTV2GBm/mCG9a9wLaA8bM+ics3S64ypb/G1jLR2k/OMcg2a5VvtIja+8YZ1ASuB7H0njdzrY/BepwKe85jDrG17Th+0H9WTl+vgjwUbS65zIKbpc15zxiDV6tDGvpU5Vy+vCCyvuNv4MLtH8uRN08pmXaZrv6LHBlqvv+eksF/8jgEC2CPS2HaANsD8hfa93g2sH+p4Xu1T8RSC1Aim6IvmxGmqqOh/rkXD5fLq3JZwGGyCQSQKf1/F5dn/TRMsV0pEP/5joRv24/lG1HvEOFmQOWT9PE0ZN0+3LV6hiZWJBZLgwOSNUWlul+UXH+pctHFjerdunnqnC8cbVypjP0/TfvPu5nnL1e366zzFrIIDAQBLobTtAGxA5iv1e7zragX7PS0SFCQQSEkhNINn+lnY80ZxQxlwrH35MD2z9vWsWbxBAIBsEvPc2djdkvTmS7RItXXaHMSrsM9q+bGxspLyztfjnrxoj3X5fix0j1EZtYAaVi76hKYt3qC1qYW9neMtlpNOv+eltOdgOAQQQSKaAt64MsA0ws92v9a6nbP2al2QeQ9LOZIGUdG1tb3xWTx227nMacoM2Pu8etMIf+PfaPHeKbq8zf7q16Ze/2KXW6dNi3FfpnwJzEUDAK5Cr447/vHdmit4P1szabVpZ7NNNtYc5aG+o0a2Rx5Ycq5HG8yYvGfc1zZg+2uee0ZAONXWX8CANLf5HzTf/rTbvr9yoZ5uO6OAT1drQ+JFjY+NeyvXLtXLyKCP/Jzjmm5N9L1dXgkHkpys1phBAAAG3AG2A28N8F0S9G1Q7EEReokvIHASSJZCCK5Lv64VHt8V5dmSsojmfKWkOurNBW3wfCB5re+YjgEC0wKd17PF5kYFxjr70qn4ddywrIxirnqXCoQXhf6ct3hl59mR02n5zPmuMnPpla0GrXt7d5HkWo982sea5n0M7eFalfrr6JpX6BpFmGol24epswEvLbtLKnzcaz8P0PEvSeIbly7vfsfIfZLlilTeR/MRKg/kIIICAU4A2wKkRPZ1IvZvsdiCRvESXhDkIpEIg+YFk6y/1H1usB3+rQFMuOrWHg+bkKL9kpq6wH67u+0DwVBCxDwQyScD4Xp0xViPsIsV5pEd4lfYmPbttn7V2vNFZ7QS9f92j0R3eskkvtMWNXL0JON7/VW2tf7Le5+vcyWN9rkI6Vm97UT/b4telfr9qLju1MzgeNk+bY44Kna/R08v1wIqpxvlq8xXSB8b+/zc8HWS5gshPOFP8hwACCHQjQBvQCRREvRtUOxBEXro57CxGIEkCSQ4kjWdHPve0fmmP3t/dowa8hcyboG9MLbDmMuiOl4f3CPRKoGCKri2xu5fuV+1312iPb3BndPXc+mOt22t18cwdq4svODHhXeYUXagp4edCGpu2bNSdizfpULxYsm2HlowfbgV6V6nGtyfCX3SwqSX21c22l7X62kXaYD231p3pIRoz4Suds0LPqXJVfZx7H4/qnSb7KmSuvpD/OdmVZnDlCiY/7jLyDgEEEIghkPVtgOkSTL0bTDsQTF5iHG1mI5BUAfs3UXJ20n5AWx7ZZXWFy9WQSy9UUUKPGnA/U1IMupOc40SqWSZwoopnX2zc2df5CjXer9nX3qGa+uauwMx8tMaqhZq96Em1hFczH349U8X5CX2BO3eQM0rz7p5h7a/zuY2Tp5aryjsSqrnP6gqVTb7RCgDNfc7RjMLO64HSsSoaN9LqlvuRGpaX6YZ7d7iDUjONn5TrirFXq8p1j+NRHTjwrlUXGfXKjBkaHR741rz38UZNmVuhdc7yGzlvb96pdYbBtcvtOszToyKwcgWUn05t/kcAAQS6Ecj2NsDkCajeDaQdCCgv3Rx1FiOQDIGkDrbT3vi4HravZiTUrbWrqJ1nex5UVXiwHu+gO2Z3gMtV0Wg+FW+QRi57XFvLhndtzBQCCPgI5CiveJH+dcE+zbYGrgk1rlfFHOOfz9rmrNyi+frXO4rjdyWNsa2Mzux++1u9aL1Wx3uW7OAZ+oFrn3Z39+esQPOw6u+fZ/yLuWPXgvbWIzI7xuYb/3IKp2lp6Tar/EYwWbdWPzD/ubZwvjEG9lnwPc0b7XxeZlDlCio/zvwyjQACCMQS8K+7sqkNMGUGUjsQTF5iHW/mI5A8gSRekXQOjGH8EC2Zr7muH2E9LJRxtmfudy6IDA4SqqvSgw3e58r1MC1WQwABSyBfY8qr9eiySZErk/40xlXBkjv06EO3aExeL65GRhLt6f7MDTr3ufHp72uid595xVry4/ka2e1jNM00blZN7a0aaeUh9JsDeifSpdbIz22Vuv/qokjdEslq1IQRRF69Uj+87WyfQDqgchnhbTD5ico8MxBAAAEfgZ7WXZnaBpgkQdW7PbU09xmrfQsqL+Y+eCGQOoHkXZF0PTsyT+d+fXz4SkDiRTOuQlwwWefm7lB9+F7LZj21/S0tGj2mh4P2JL5HtkAgOwSMwWTK1urFmUZ30A1Pa9uD61QfuafQbOyuV+nsK3VtcUFA3zXn/n6lV6MesWE+A/Ifdc7Yi+Ls0ziTPmaRtu4u9smzcdQGl2j+3As09sIZmlhgdIlt36emM6r1htkzIjyw0E0abZ/QyinQhSs2a9fMJ7TxlZf1ZOV6vWHfz21+ALxpxfxQBFEuI/HA8hMzoyxAAAEEHALOuisL2wBTIrB612nZy/YtsLw4DjGTCCRZ4FMdxivJ+yD5AAXMxzCYr6ZDfqNRBrgjkkIAAQQQSAsB2oW0OExkEgEEEEiZQKrahSR2bU2ZFTtCAAEEEEAAAQQQQAABBBBIoQCBZAqx2RUCCCCAAAIIIIAAAgggkAkCBJKZcBQpAwIIIIAAAggggAACCCCQQgECyRRisysEEEAAAQQQQAABBBBAIBMECCQz4ShSBgQQQAABBBBAAAEEEEAghQIEkinEZlcIIIAAAggggAACCCCAQCYIEEhmwlGkDAgggAACCCCAAAIIIIBACgUIJFOIza4QQAABBBBAAAEEEEAAgUwQIJDMhKNIGRBAAAEEEEAAAQQQQACBFAoQSKYQm10hgAACCCCAAAIIIIAAApkgQCCZCUeRMiCAAAIIIIAAAggggAACKRQgkEwhNrtCAAEEEEAAAQQQQAABBDJBgEAyE44iZUAAAQQQQAABBBBAAAEEUihAIJlCbHaFAAIIIIAAAggggAACCGSCAIFkJhxFyoAAAggggAACCCCAAAIIpFCAQDKF2OwKAQQQQAABBBBAAAEEEMgEAQLJTDiKlAEBBBBAAAEEEEAAAQQQSKEAgWQKsdkVAggggAACCCCAAAIIIJAJAgSSmXAUKQMCCCCAAAIIIIAAAgggkEIBAskUYrMrBBBAAAEEEEAAAQQQQCATBAgkM+EoUgYEEEAAAQQQQAABBBBAIIUCBJIpxGZXCCCAAAIIIIAAAggggEAmCBBIZsJRpAwIIIAAAggggAACCCCAQAoFCCRTiM2uEEAAAQQQQAABBBBAAIFMECCQzISjSBkQQAABBBBAAAEEEEAAgRQKEEimEJtdIYAAAggggAACCCCAAAKZIEAgmQlHkTIggAACCCCAAAIIIIAAAikUIJBMITa7QgABBBBAAAEEEEAAAQQyQYBAMhOOImVAAAEEEEAAAQQQQAABBFIo8JkU7otdBShQOLQgwNRICgEEEEAg3QVoF9L9CJJ/BBBAIL0EuCKZXseL3CKAAAIIIIAAAggggAAC/S7AFcl+PwS9y0DToebebchWCCCAAAIZJWBfiaRdyKjDSmEQQACBXgvY7UKvE+jhhlyR7CEUqyGAAAIIIIAAAggggAACCHQKEEjySUAAAQQQQAABBBBAAAEEEEhIgEAyIS5WRgABBBBAAAEEEEAAAQQQIJDkM4AAAggggAACCCCAAAIIIJCQAIFkQlysjAACCCCAAAIIIIAAAgggQCDJZwABBBBAAAEEEEAAAQQQQCAhAQLJhLhYGQEEEEAAAQQQQAABBBBAgECSzwACCCCAAAIIIIAAAggggEBCAgSSCXGxMgIIIIAAAggggAACCCCAAIEknwEEEEAAAQQQQAABBBBAAIGEBAgkE+JiZQQQQAABBBBAAAEEEEAAAQJJPgMIIIAAAggggAACCCCAAAIJCRBIJsTFyggggAACCCCAAAIIIIAAAgSSfAYQQAABBBBAAAEEEEAAAQQSEiCQTIiLlRFAAAEEEEAAAQQQQAABBAgk+QwggAACCCCAAAIIIIAAAggkJEAgmRAXKyOAAAIIIIAAAggggAACCBBI8hlAAAEEEEAAAQQQQAABBBBISIBAMiEuVkYAAQQQQAABBBBAAAEEECCQ5DOAAAIIIIAAAggggAACCCCQkACBZEJcrIwAAggggAACCCCAAAIIIEAgyWcAAQQQQAABBBBAAAEEEEAgIQECyYS4WBkBBBBAAAEEEEAAAQQQQIBAks8AAggggAACCCCAAAIIIIBAQgIEkglxsTICCCCAAAIIIIAAAggggACBJJ8BBBBAAAEEEEAAAQQQQACBhAQIJBPiYmUEEEAAAQQQQAABBBBAAIHPJJsgVF+uUXPW62iPdpSrwSXX6/rxp2rMzEs1Oi+nR1uxEgKZIdCmnYsvVun6FqM4gzWzdptWFudlRtEoBQIIIIBAgAIhHaqerZLlu400B2nksse1tWx4gOmTFAIIINC9wAC7IhlSS91aVSz/jmaMnaZlO5rV3n0ZWAMBBBBAAAEEEEAAAQQQQCCFAgMskHSUPNSox8qu1Y2bmggmHSxMIoAAAggggAACCCCAAAL9LZD0rq3OAg6aVavXV09UrnOmc7q9WTv/7Uk9s7VaGxo/MpYc1o57HtQLJd/XRLq5OqWYzkiBPE1c/bKaVmdk4SgUAggggAACCCCAQAYJDKwrkjkFmjjnJq18qFIzB1vhZss2/UfdexlETlEQQAABBBBAAAEEEEAAgfQWGFiBpG2ZN0HfmFpgvWvTS6/8RiF7GX8RQAABBBBAAAEEEEAAAQT6VWBgBpI6RqePHWWMQ8YLAQQQQAABBBBAAAEEEEBgoAmk9B7Jnhc+pHebmq1HhuTpnHGnxL6vsueJsiYCA1wg3uM/9qvmsstV0Wg+SGeslu58RKUFf1LDps3a8YuHVFV3OFK23KJZ+s51V+ob00erRw8PaWvQ5g1Pa9uD61TfYl/7tx7F8/XJmuGbjiM/RXeo7udzlNewQSu/u8K6v1ky83HbLTfo+uICuR7kE97fr/TqE/a90J1ZD+f7isn6h+smaqhrg0jRPBOtRvl/rj0HX9S6NXUyH5rS9TpWI2eV6ZIRp+vCuOkd1aH6jXp293OeNKzyTxjfzfZde1Qg5QowP46sMYkAAukm0FkXPPP0Bt23vtHqlWXWazfp2wuu0cSCHlWSXYUOpH6ykku4zehDe2HuMpC8B9FemJkJsI7uc7kCzItZNF4I9ELgUx3Gqxfb9XgT53Mkux1sx061bYeWTL5RG8wftYOvUs3TDLZj0xQO7ezy23So2Z7F34wRSCCQ3LJQH353oarCg1L5A+QWLdQjD92iMTEHqjIa1uqlWrh8hycIc6fnn477h8H2+6TyySvUYMeh4STyVFz5lKqnf8lK0Gj0dqzSLd/6qd5wrefenwZP0tI1FSodne9ZYL9tN35X1Or2Bfc4Al97mc/fwZfonkfv0bQCTx+Htj2qWXSLKhxBuM/WRkQ8WvMfq9biMbHyE1C5AsuPbymYmcECtAsZdnC7qwvCddIDmrX35h48RzKg+ilM3Ns2ozfthbnDIPIeUHthZqe742KuY75S0WYElpfOLPN/5gmkql0YWF1bzVFbaytUZgeROkkzV3yHEVsz7/NNifokcEDrFsyPG0SayYca79fsRY+r1XdfrdqzqkxXdRNERtKZU6umWA91bX9RK6+7xxNEGlvmjtXFF5xo7f2omqqv1+SyboJIc+2WHaowriau3uOf8/amWpXOWtGzIDKc3pO6/Zp/UYMr/+9r54pF3QeR5vahBlVduVA1TebVYO8rqHIFlR9v/niPAAJpJdC+TzVzro9fN4XrpG/pJ/s+7qZoQdVP5m4CajN61F6Y+wsm78G0F2Z+gqqjgyhXUHkxy8ULgb4JpDSQPLp+jkYYV9TMKNn3X2GxSu9e2/kD0bwqsWWTVhaf0LcSsjUCGSfQppYWM6gZouIFldr4+kGZV6ibDr2lutqbVWyPeGysEaqr0oMN3h8bxhna+krdvKYhMoiV2a10aW299ofTMdJ6fbNWziqKdCkP7f2Rymv3+T/T9c3nVX84ZHRl/aaqdr7VlZf1t6o43+x+Ze7vbl27fJe1P7Pb6Dzd6dxfOO93aX7JkM6jZf5QurFSO9tc0Z+x7Pd6fMUDkaDVzPfiys3aY+fb+rt/Z63uXFCiwZ2pGU8SqteOxi6HduOK5vfWv925NLdIM5fVqs7oTt/paP59TRsrb+iyDO3Rwxvf9JQ/uHIFkx+7sPxFAIH0FDCCjNq7dO9e8/Fn5svsynqHaiL16kHt2VLZWU8adeSGTW92rub7f3D1U2cdHlCb0W17YRYmqLwH016EczSA2gzaC98PPDP7S8Ds2prM11/rFnf83UlDO76a6L+TL+soX1vf0fxJMnOXfmnbjumXc3LcHBwQXwAAP3ZJREFUvcCRjvrbx1vflfEd5XVHHJv8pqP60hFd36OTp3aseu0Dx3LH5AebOkpPtr9zozpKN77rWGhOvtuxac6oSFqnXHpvx2tH/L5o/91xcO2VHafY390JKzv2Rlbz5qesY9MHkYXu/X3yVkf11JHW/kZ2TF/7VkeMNY3tPuh4beVUa5/DOs5b+Zp7XWfZxi3tqPfNt737Pxie51v7dTr8taN57Uxrvs8+7M2Nv58cXNsx3bZ0ld9cGFS5AsqPI99MZpcA7UKGHO8j2zvKxw3rQV3prNvMun5Ex+Vrf+NGCKx+MpPta5uRQHth7i6ovAfSXpgZCqiODqRcAeXFLBavjBZIVbuQ0iuSCQXLoUZtWD5Hk6dWak/UVYmEUmJlBDJMwLiiN3WB5sW6Zy9/vC4+zx5m56je//DP7vK37tK2F9qsecM1564FMe6jHKTCaTN1rvVIV+9VPWeig6ZepUvDVx+dczun2xsf18PWGfbcku+pqmyEe/Ad1yb5GnPbMs0ZYu40pMNPPKtG50XJ/GmqPmBdOdy1optu73kqGPZFK3UfB2vJJ01N+p1zH4785BSWaaO9v1+Va7RjfItAy+XYZ2/z40iCSQQQSEOB0N5n9YQ14FnuGTdp1ZxYdeUJmnjHsq7nbfuUNdD6KeA2I157YRYlsLwnob0w89fbOjqwcpmZsF69zYu9PX8R6KtASgNJc7CdfZ4uaF1dycwfh2bXvO9rsbNLXdz7vPpafLZHIB0FPqu/G3danBFZT9AZ44fFLFjoP1/RS/ZgN0OKNanomJjrytkQH3pGi0f7rRtvZGWji9Jvm/ReeA95Ovfr4xVryJpIJnIKNfYca63De7TnHTuzkTXiTBiDM9T/u2qqq1W1eIYmL9/ts26uvnzmGKNjsPkKqWV7uUomlGq1sU1N7U4dihFUuhMKslxB5MedO94hgEC6CXysX+9+PTJa/bmzp6jQceIqqjSu5217lwZZPxm1ZKBtRrz2wixHsHn3yrjf96S9MLcIoo4OqlxB5MWtwDsE+iIwwB7/MUhDi/9R84tn6MJh12uKdU9V531ek2P8iO1L8dkWgXQU+KKGfdW+4pho/p2P1pEGnXOWTo/3Y6VHyQ9S/nF+Aaa58UdqfOUN697INtUvmqDCRT1K1FrpdzrY/BepwKe84aHTX9OH7Qf1ZOX6+CPBenaZU3S5rjnjEVXY9yK11KlqeV14rYq7jT+DSzR/7gSdfOZlmuY7emyw5ep7fjwF5C0CCKSZQJua9//BynNP6njredtr9lvBp7O4QdZPQbcZ8doLswxB5t1h0of2wkyl73V0cOXqe14cLkwi0EeBlF6R7HlejS51c26zureZWzXrqe1veQa66HlqrIlAZgl8Xsfn2f1NEy1ZSEc+/GOiG/Xj+kfVeqRrkJzOjJhD0M/ThFHTdPvyFapYmVgQGU4jZ4RKa6s0v+hY/7KFA8u7dfvUM1U43rhaualBdmdg/w0SnespV7/nJ9H8sz4CCAQr8Gd9+L49MnTP6vhPH3e8vhBsJqzUnPVTurcZAbQXpkq/19GOY9LveUnKh45E01RggAaS5pfW0b3NvFfqxb36XZoik20EEOitgPfexu6GoDdHsl2ipcvuMEaFfUbbl42NveO8s7X4569GdaeP2sAMKhd9Q1MW7wgwmPSWy9hrv+YnqtTMQACBAS6Qk3e8jktKHn3qp6TsJxmJOvMeYHthZrVf62hnufo7L8k4bqSZrgIDrGurk/GzxkAZXzZmtDhnMo0AAn0SyNVxx3++Tyn0fuPBmlm7zXikj0831R4m2t5Qo1sjjy0xh8Yv0yXjvqYZ00f73DMa0qGm7hK2u9MbXepXm/fLbNSzTUd08IlqbWi0h+A30zDupVy/XCsnj/J5JFHfy9WVyyDy05UaUwggkC4Cf6PjTxhkZNa8KvlHfdhm3hsev+dJqPmgDnRbvL7WT+nbZgTfXpjYQdTRfT0m9kEPIi92WvxFoHcCA/eKpP6i5gNd1yBzT8g3nqjECwEE+ibwaR17fF7k58nRl17Vr+MOLmMEY9WzIs99PW3xTut+x57mwj4hZK7fqpd3N/Whi/rHatxer8PhXRsj186q1E9X36RS3yDSXCnRLlmdjXJp2U1a+fPG6GdJGs+wfHn3O1b+gyxXuEA+/yWSH5/NmYUAAmkkYIwyPdweZfoPOvDb7jrTu+9ddBc0yPopXduMZLcXpngidXSQx8R9tDvfJZIXv+2Zh0DvBAZuINnepN0vtVqlytWJw0/yueLQu0KzFQLZK5Cj/DPGaoQNcLheOxq99yDaC42/xvfw2W37rBndjbbn2C4y6R5h7vCWTXqh14/z+avaWv9kpZyvcyePjV8ntL2on21pjuSka2K/ai47tTM4HjZPm1tjRdL5Gj29XA+smGr8XDBfIX1g7P9/w9NBliuI/IQzxX8IIJC2Aseo6KJiazRpY2Cy+x5WQ6yqySxje6PW/9vrMUobZP2Urm1GUO2FSRxEHR3UMQkiLzE+NsxGoBcCAzSQNPq137tctYftYf8LNOWiU+M8e64XJWcTBLJVoGCKri2xu5fuV+1318R4VqvR1XPrj7XOHtk0d6wuvuDEhNVyii7UlPBzIY1NWzbqzsWb4j9io22HlowfbgV6V6mmyR6Awrnrv+hgU0vsq5ttL2v1tYu0wXomm3NLGT/Vxkz4Sues0HOqXFUf597Ho3qnyb4Kmasv5H9OdqUZXLmCyY+7jLxDAIF0E3DVKYcf0V33vhyjbvL+RoouqSutvta7ad9m9KW9MG2DqaODOSbB5CX6E8McBHonYP8m6t3WgW/V+UyfqsVzNDtyH5Rxl0DJfM31fX5d4BkgQQSyQOBEFc++WIOtkobMZ7Vee4dq6pu7AjNzqPRVCzV70ZPWXcpGV9KpM1Wc34tnheSM0ry7Z1j763xu4+Sp5aryjoRq7rO6QmWTb7QCQHOfczSjsPN6oIzO7UXjRlrdcj9Sw/Iy3XDvDndQaqbxk3JdMfZqVbnucTyqAwfetbrlGmf+Z8zQ6PDtR+a9jzdqytwKrXOW37Bpb96pdYbBtdZjiIxnkLhPaAVWroDykwWfXIqIQEYLuOqUj/TGmuuMummVNjfYvbOMZxE2bNbquVdoluM3kq+JK62+1Ltm6unYZgTVXpjlD6iODuSYBJQXs1i8EAhA4FMdxiuAdGImEaov16g5632ecxRzE/eCwZfonkfv0bQC+8ekc7F5if9yVTSaVywGaeSyx7W1bLhzhYybLhxaEC5T0yG/LnsZV9wsK1Cbdi6+WKXrW4xye2/Gd37Wx2rpzkdUWhBrIAbzvsbZKlm+20gn1veiczQ75wmbeNi5RQv1yEO3aEyeHUg68+PNq19Kie0vnMJg42rk09/XxMg+jbnm1cpIoOm3n9jzcksq9eKD05QfXiXR/BgD+yyo0k/Lz/Z0p000HWPnfuUy7h/ds6rMdQItdknMJbHyE38rlmamAO1CJh3X9412YKbRDrzdTaFO0uWzvqxn1v/K+H0VTD0f3qFv/WQuSayOcrcZibYXie/PN++BtRe9yU+sOjoxR99yJXgsaC/Ciln3X6rahQF2RdJ9nHOLvqmqmEGke13eIYBAIgL5GlNerUeXTYpcmfTf2rgqWHKHHnUFkf5rxp/b0/2ZqXTuc6M3iDQX5RVryY/na2SsGNpcJ/wy07hZNbW3aqQ1J/SbA3oncs+RkZ/bKnX/1UWRgYes1Xz+GD8Irl6pH97mDSLNVQMql5lOIPnxyT6zEEAgjQRO0MSKdaqKWzcN0aTKB7Vi8pe6KVdQ9ZO5m56mNYDajMDaC6v8gdTRPXU09xmrLaS9MHV4DQyBgff4j8Elmj93nE4ovFDXFhdwX+TA+JyQi4wUMAaTKVurF2ca3UE3PK1tD65TfeSeQrMBu16ls68M8Hvo3N+v9GrUIzbMZ0D+o84Ze1GcfeYob8wibd1d7JNn4yCF648LNPbCGZpo9mJo36emM6r1hnmfZ3hgoZs02u4mn1OgC1ds1q6ZT2jjKy/rycr1esO+Lds83t60Yn4GgiiXkXhg+YmZURYggEA6CDjrgu1Pat2auq5bDErmatHCUk0bna9QfU8KE1D9FN6VM610aDMCbC/M8juPS3+3GYHlpSefIdZBILZA0ru2xt41S3ojkKpL1b3JG9sggAACCKRegHYh9ebsEQEEEBjIAqlqFwZ019aBfIDIGwIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQIEktl65Ck3AggggAACCCCAAAIIINBLAQLJXsKxGQIIIIAAAggggAACCCCQrQKfydaCp3u5C4cWpHsRyD8CCCCAQIACtAsBYpIUAggggEC3AlyR7JaIFRBAAAEEEEAAAQQQQAABBJwCXJF0aqTRdNOh5jTKLVlFAAEEEEiWgH0lknYhWcKkiwACCKSXgN0uJDvXXJFMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskWIJBMtjDpI4AAAggggAACCCCAAAIZJkAgmWEHlOIggAACCCCAAAIIIIAAAskW6L9Asq1Bm6urtHruuSocWuD4N1wT5laopnqrGtrak11+0kcgTQVCOlQ9y/renKorqvenaTnINgIIIIBAp0Cbdi4+26rXz9aS+jZgEEAAgQEt8JlU5669eafWrfmh7l3fqJDvzkNqqVurijpj4fJKFS/8Jy37ziQNzfFdmZkIIIAAAggggAACCCCAAAIpFkjhFcmjOrTjLk2/aI4qYgaR3tIfVv398zR5aqX2cHXSi8N7BBBAAAEEEEAAAQQQQKBfBFJ0RbJdbfV3a3bZo2qJFPNYjZxVpkvGfU0zpo9WXmR+qxo2bdaOXzykqrrD4bmhxvs1e87n9NSGMhVyZTIixQQCCCCAAAIIZIpAniaufllNqzOlPJQDAQQyXSAlVyTbm2pVOt8RRA6epKVbdmrr6ptU6goiTe58jZ5epsUP7lBd5SUabB2B0N4fqbx2n7hrMtM/kpQPAQQQQAABBBBAAAEEBrpACgLJ3+vxFQ+owb4hcvAluufRf1Xp6PxubAZp6PR79NCy8coNr/mRGh58SC/QxbUbNxYjgAACCCCAAAIIIIAAAskVSHog2d7wsP6lzh557CTNXPFPmlYwqIelGqTCmXN0xeDOUFIt2/Qfde/1cFtWQwABBBBAAAEEEEAAAQQQSIZAku+R/FiN2+vVeaejkf0hF+sb55+QWDnyJugbU0/XvtaJumTYcSo84/jEtmdtBNJSwBicqn6jnnl6g+6LDE5l3ld8k7694BpNLEjgZmHzUTsbfqVXn6jWhsaPIhq5RbP0nSsm6x+um9jzUZHDaT2tbQ+uU32L3c0gV4NLrtf1X5/sud/Z3tV+1Vx2uSoaj0pFd6ju53OU17BBK7+7IpIfMy+33XKDri8ukKtkgeXdvPf659pz8EVj1Og6x73aZh6t+7VHnK4L41p0HpNndz/nScMq/4Tx3Wxvexh/AylXgPlxZI1JBBDoLwHz8R8Xq3S9OZrEYM2s3aaVxV0jSEiOulRjtXTnIyot+FPUuBJm7sP1+3VX6htRtw/5lC2r63XTI6C6lHrd58PFrEwX+FSH8UpaIdv3aPX5V6nqsPmDM1dDFjyq+vIx7h+KSdt5ZiZsPnPTfDUdas7MAlIqI8jYo5pFtxiPwImcgnGr5I7W/Mce0Ky9N6tk+W5j2SCNXPa4tpYNd69nNo47VumWb/1Ub9gxn2eN8FvznuU1Fd10NzcCseqlWrh8hycIcyeYW7RQjzx0i8bkOcNBx48fI5Dcfp9UPnlFV3f3cBJ5Kq58StXTv2QlGFTejYG+Gmp1+4J7HIGvO8+ud+Gu9/dE95ro7pjYiYSPTbUWj4nVdT+gcgWWHzvj/E1nAdqFdD56zrwnGEhuWagPv7tQVY4ThM7UzGn/OtleK8vrdZMhkLqUet3+RPF34Aikql1IbtfWtrd14D37F2yBplx0KkHkwPmMkZOBKNC+TzVzro8dRJp5DjWo6spv6Sf7Po5TgqNqqr5ek8u6CSLNFFp2qMIYQXn1ntYY6bVqz6oyXdVNEGlu3DnCcq2aYo2K1f6iVl53jyeINDbMHauLLzjR2n9weQ8P9DVrRc+CSHPvLU/q9mv+RQ2u/L+vnSsWxT8mVs47j81C1TQZV1+jXkGVK6j8RGWQGQggkDYCB7Ruwfy4QaRZlHCdvOhxRdfu2V6vmzpB1KXU66Ykr+wVSGog2f7OAe2340h9XsfnWfc6Zq83JUcgjoDRINXepXv32t1PzS6Xd6hm51vhK9BNhw5qz5ZKzS8ZEg4mN2x6M0ZanY/buXb5LnV+/cyul/N0Z2299htXss2r2U2H3lKdsa9wWmYqZnB6Y6V2Rg1mZaZVqZvXNFhpdXaZWupM6/XNWjmryBoUy0gq3gjLbz6veqOHQm7RN1UVKZeRl/W3qjjfvIoZZN7dA32ZXb0WV27WnohBp8X+nbW6c0FJZIRoHa7XjsauIL3duKL5vfVvd1rnFmnmslrVNdmO5t/XtLHyBhXb93KH9ujhjW96RpgOrlzB5KezOPyPAALpKtCmlhbzhNUQFS+o1MbXDzrq9pu76iNjjVBdlR5s6KrTOuvZ7K7XzaPe97qUet105JXlAmbX1mS9/lq3uOPvThra8VXz3ymLO+r/mqw9ZU+6YUvDk1cGChzZ3lE+bljn9+WkkR3T177V8YlvMf/QUX/7+dZ65vdrRMfla3/TteYnb3VUTx3Zg3TMTT7oeG3l1I5Twt/TYR3nrXzNs893OzbNGRXZ1ymX3tvx2hG/XP13x8G1V1rpGHmasLJjb2S133RUXzoiksZXTy7r2PRBZGFXvs2pIPP+waaO0pOt+mfc0o5633zbu3eajuoo3fiuteCvHc1rZ1p59/OxtzeyfnBtx3R7f67yB1mugPLTlW2mMkCAdiEDDmK4CEeMun28Vd+M7yivO+IpmLcundqx6rUPPOtYb53130nOOs1cnu31umkQQF0aWHsVQF7MIvFCwCGQqnYhqVckszxGp/gIJCQQ2vusnrAGsMk94yatmjMiRlfwEzTxjmWaaV8B8+ylvfFxPWxd1cwt+Z6qymKlY26YrzG3LdOcIWZvgZAOP/GsGp3dOlt3adsL9qjLwzXnrgWe+x/tnRsjLE+bqXPtTgeeq3r2WubfQVOv0qXhq4/OuZ3TgeY9f5qqD1hXDnet0ETXfZvefeepYNgXrZlH9f6Hf/auEH7/SVOTfuf0cayVU1imjfb+flWu0Y7bRAMtl2Ofvc2PIwkmEUAgLQWMniZTF2herPux88fr4vPsgXo8dRr1etQR701dSr0exciMLBQgkMzCg06RB6LAx/r17teN4XHMV57OnT1FhY5AJCrH4dGMOwdeci8zutr8tkmdD8kx0vn6eCNU7OaVU6ix51hrHd6jPe9E+qMr9J+v6CX77ZBiTSo6JnZizsDt0DNaPNpv3TydM+6USDdYd2LB5t2dtt87Y4CE+n9XTXW1qhbP0OTwwEXe9XL15TPHGJ3HzFdILdvLVTKhVKuNbWpqd+pQjKDSnUqQ5QoiP+7c8Q4BBNJR4LP6u3GnGa1FrNcJOmP8MN+F1OsmS1/rUup13w8XM7NOIKmP/8gtOFlmNfaGyXrUuDJg3Bs1scC+ZJF11hQYgTgCbWre/wdr+Rc17Kuxfx50rnSMTh87SoPW7LeCTzvpj9T4yhvW/Yxtql80QYWL7GU9+fs7HWz+i1Rg7j+kd417Ae1hYwadc5ZOjxfc9iR5Y4TZ/OP8Akxz4yDz7slMeFj21/Rh+0E9Wbk+/ii2nk1zii7XNWc8ogr73tWWOlUtrwuvVXG38WdwiebPnaCTz7xM00b7he3Blqvv+fEUkLcIIJCGAj1pJ/yKRb1uq/StLqVetx35m90Cyb0iOeRkjRhkA1s/UO23/EUAAYfAn/Xh+3bI1rOBqT593PH6giOFYCaPqvWIPShDSEc+/GMwyaYkFWfe7R2aw9vP04RR03T78hWqWJlYEBlOJWeESmurNL/oWDtR999wYHm3bp96pgrHG1crNzWozb1GH995ytXv+eljcdgcAQQCEOhZOxG9I+r1iEm/1qXU65HjwERaCyQ3kMz9W5083I4kW/Xy7ibPSIY9tDOfR/m1C1S2qiqB7mQ9TJvVEEhTgZy843Vc4Hn33EsTePrJTNCb9+6GtzdHO1yipcvuMEa0fUbbl42Nnbm8s7X4568aI91+X4sdI9RGbWAGlYu+oSmLdwQYTHrLZey1X/MTVWpmIIAAAkkS8NZ/AdbrZo77rS71lqs/85KkQ0eyWSGQ1K6t5rDUYyZ8RWrcb2BaA3ncNsY1CEVPlNsbn9VTh9/W4TUrVT/kBo25bqKG9mRD1kEgbQT+RsefYJ50Ma9K/lEftpk3JsbvBh5qPqgDccs3WDNrt2llcXfdZGMlkqvjjv98rIVJnt/XvJtDu9fo1shjS8xHqZTpknFf04zpo33uKwrpUFN3RRqkocX/qPnmv9Xm/ZUb9WzTER18olobXA8EN+6lXL9cKyePMuxP8CTa93J1JRhEfrpSYwoBBLJBgHo9+ij3pi51ts/U69GmzMkWgeRekdQxKpoxQ6Pt79vhbfrZ8+8naGs8C+7+x3Q4vFWuhlx6oYr6fJ9WgllgdQSSLmCMGjrcHjX0Dzrw2+46R7rvc+nK3meN0Ue/bL3tQy+AcAqf1rHH50XC2aMvvapfxx1cxgjGqmepcGhB+N9pi3da92p25S7+VJB5/1iN2+sj9cbgWZX66eqbVOobRJq5SrS7V+cPj9Kym7Ty543Rz5LU740eGO9YPTCCLFcswUTyEysN5iOAQOYLUK/HP8Y9rUup1+M7sjRbBJIcSEo5hVN0dWQI6re14Y67tbnZvhesO2bjrP+mClXW2T+qCzTlolNjPBKhu7RYjsBAFjBOulxUbI0OagySc9/DaogXtLU3av2/ve5TIPdIdIe3bNILbfES8kkiMitH+WeM1Qj7fZxHeoRXaW/Ss9v2WWvHG53VTtD7N8i8/1VtrX+ydpCvcyeP9bkK6dh/24v62ZZmxwx7cr9qLju1MzgeNk+bW2NZ5mv09HI9sGKqMZyQ+QrpA2P//xueDrJcQeQnnCn+QwCBrBSgXu887H2tS6nXs/LrQ6GjBJIeSEpf0uV3fKvrqmTLk7r9qptV09AalRn3DDOIvF2zFz2plvAC45lJs27TPN9HCri35B0C6SiQU3ShpoSf52jk/vAjuuvel2PcZ2fcI3LvctUaoyD7vVzptGzUnYs3xX9MRdsOLRk/3AqWrlJNk+NET8EUXVtid43dr9rvrtEe38DU+L5u/bHW2SOb5o7VxRec6Je9uPMCzXtkT3/RwaaW2Pdnt72s1dcu0gbrGZ6RzcITVvd8czr0nCpX1cc4JuYKR/VOk30VMldfyP+c7Ao2uHIFkx8zt7wQQCBLBbK+XjePe9/rUur1LP3+UGyXgP07xzUz6Dc5hdfo3pWXaLCdcMsOVUw9WxPmVqjGO8Jhe7N21v5ISy47SyWRINK4W6xovv71juL4VxXs9PmLQDoK5IzSvLtnWN+Tj/TGmus0Ze4qbY6cdDGeW9WwWavnXqFZkXv/fArqSqfz2YeTp5aryvtdMx+JUV2hssk3WkGU+YDrOZpR2HlNrTPlE1U8++LIdzfUeL9mX3uHauqbuwIzM51VC90nfabOVHF+L/qgB5b3Y1U0bqTVLfcjNSwv0w337nAH1Ga+f1KuK8ZerSrXPY5HdeDAu1a3XGf3fPPexxuNY1Khdc7yG1DtzTu1zjC4dvkuaztP74nAyhVQfnw+NsxCAIFsEcj2et08zgHUpdTr2fKFoZxxBD7VYbziLA9wkfcKY8+Tzi36pu7/l3JdWOD8gevc3uyicLkqGs0rKYM0ctnj2lo23LlCxkyb95+Zr6ZDft3wMqaYWVyQ97Vz8UyVrn+7G4OTdPmsL+uZ9b8yroP5feY7R7abHS/g9O5hsHE18unva2KeNwBMLK3cooV65KFbNCaSjvP72ZNBCRLbX7gYfnk3r7RGgmRvYeO/zy2p1IsPTlPnUyETzY8xsM+CKv20/GzPia9E0zHy6FcuJZpOrPzEN2Bp+gjQLqTPsYqf0zaj/r/YqP/Nflh+daWzLh37/7d3L9BRlncex38tzTkcu24jqZZjcSVGKG0lS6RUKmsribi0XpBrrVRaIDHaYtfKJVx6Tlu7kIDm1J5VKSQGt65ry9ULXREk9KJVREw3tkcEUqjFLquitLZdjtN09n0m805mJjOTGfJM8szM9z2HZC7v+7z/5/OfeR/+eW9atuchVSe9N7c5Z322qlbu89rq+xiRf9t1kwkb29JM2zCpTTTWZtoO23WTQabkAv01LvTLHsmubnonME+/Wz/eVq+Zye7H1sPD+6LccK92bPtmiiKyx0K8gEAOC5ytifUbtO6G8shFbnp2ZpgmNd6vVZPP7flW5JUSja1r0sMrJkX2Jkbe6vHA2xNZtVybExaRZuZ02+pq5+GYIrLHytJ4Id31maZSxF5cqaX31mq0f7GvpGs2bXiH27fcrtHheQKvHNKrkdMhvXgWNeqelDnxGzfbrAbdvSi+iDTvW+qXacdKPH7M/EYAgcITSHd7lK/bdZNxG9vSdB3N+lKMV1ZiMetgQqB/BbJ8+4/4zgxSccX13lUOr9PNoUvn/05779+g1rhzk4rKZ+nr13xKn5x5jSoiezXi2+I5AnkqMKhUV6zaqudmPq7NO7drw9rd3ecJV83XwgXVmlZRokBrb/33LgBTs17PzPQO4dz0tJ7vcZsKcx/FL+rScVdqTmVpLxexim5rh56I+d6awXGuqmdfn0Y7vcXsvx+9vtON3dvejF2oR/ZVev2Pj9lbz9Aq1c6/XOOumKGJ5miHzgPquLhJL5nzPEMXFrpVFf452dE52fustjdu1EvRp6jGt+V3o8dvG/3yGrUWT48AeQEBBApGIHp7FL+NLIDtusmzlW1ptOPpjle2YimYDy8ddUSgHw9tdaTHOR5Gf+2qznEmwkcAAQQKRoBxoWBSTUcRQACBtAT6a1zox0Nb0+o3MyGAAAIIIIAAAggggAACCDguQCHpeIIIDwEEEEAAAQQQQAABBBBwTYBC0rWMEA8CCCCAAAIIIIAAAggg4LgAhaTjCSI8BBBAAAEEEEAAAQQQQMA1AQpJ1zJCPAgggAACCCCAAAIIIICA4wIUko4niPAQQAABBBBAAAEEEEAAAdcEKCRdywjxIIAAAggggAACCCCAAAKOC1BIOp4gwkMAAQQQQAABBBBAAAEEXBOgkHQtI8SDAAIIIIAAAggggAACCDguQCHpeIIIDwEEEEAAAQQQQAABBBBwTYBC0rWMEA8CCCCAAAIIIIAAAggg4LgAhaTjCSI8BBBAAAEEEEAAAQQQQMA1AQpJ1zJCPAgggAACCCCAAAIIIICA4wIUko4niPAQQAABBBBAAAEEEEAAAdcEKCRdywjxIIAAAggggAACCCCAAAKOC1BIOp4gwkMAAQQQQAABBBBAAAEEXBOgkHQtI8SDAAIIIIAAAggggAACCDguQCHpeIIIDwEEEEAAAQQQQAABBBBwTYBC0rWMEA8CCCCAAAIIIIAAAggg4LgAhaTjCSI8BBBAAAEEEEAAAQQQQMA1AQpJ1zJCPAgggAACCCCAAAIIIICA4wIUko4niPAQQAABBBBAAAEEEEAAAdcEKCRdywjxIIAAAggggAACCCCAAAKOC1BIOp4gwkMAAQQQQAABBBBAAAEEXBOgkHQtI8SDAAIIIIAAAggggAACCDguQCHpeIIIDwEEEEAAAQQQQAABBBBwTYBC0rWMEA8CCCCAAAIIIIAAAggg4LgAhaTjCSI8BBBAAAEEEEAAAQQQQMA1AQpJ1zJCPAgggAACCCCAAAIIIICA4wLvczw+wksiUDa8NMk7vIwAAgggUIgCjAuFmHX6jAACCAycAHskB86eNSOAAAIIIIAAAggggAACOSnAHsmcTJvUcfRIjkZO2AgggAACNgX8PZGMCzZVaQsBBBDIXQF/XMh2D9gjmW1h2kcAAQQQQAABBBBAAAEE8kyAQjLPEkp3EEAAAQQQQAABBBBAAIFsC1BIZluY9hFAAAEEEEAAAQQQQACBPBOgkMyzhNIdBBBAAAEEEEAAAQQQQCDbAhSS2RamfQQQQAABBBBAAAEEEEAgzwQoJPMsoXQHAQQQQAABBBBAAAEEEMi2AIVktoVpHwEEEEAAAQQQQAABBBDIMwEKyTxLKN1BAAEEEEAAAQQQQAABBLItQCGZbWHaRwABBBBAAAEEEEAAAQTyTIBCMs8SSncQQAABBBBAAAEEEEAAgWwLUEhmW5j2EUAAAQQQQAABBBBAAIE8E6CQzLOE0h0EEEAAAQQQQAABBBBAINsCFJLZFqZ9BBBAAAEEEEAAAQQQQCDPBCgk8yyhdAcBBBBAAAEEEEAAAQQQyLYAhWS2hWkfAQQQQAABBBBAAAEEEMgzAQrJPEso3UEAAQQQQAABBBBAAAEEsi1AIZltYdpHAAEEEEAAAQQQQAABBPJMgEIyzxJKdxBAAAEEEEAAAQQQQACBbAtQSGZbmPYRQAABBBBAAAEEEEAAgTwToJDMs4TSHQQQQAABBBBAAAEEEEAg2wIUktkWpn0EEEAAAQQQQAABBBBAIM8EKCTzLKF0BwEEEEAAAQQQQAABBBDItgCFZLaFaR8BBBBAAAEEEEAAAQQQyDMBCsk8SyjdQQABBBBAAAEEEEAAAQSyLUAhmW1h2kcAAQQQQAABBBBAAAEE8kyAQjLPEkp3EEAAAQQQQAABBBBAAIFsC1BIZluY9hFAAAEEEEAAAQQQQACBPBOgkMyzhNIdBBBAAAEEEEAAAQQQQCDbAu/L9goCrXUaM2+jTqW7oqFVqp1/ic4uu0JzKks1KN3lmA+BghII6GjTbFWt3Of1erBGr3hUj9SMLCgBOosAAggUrgBjQOHmnp4j4I6Ae3skj+/WupWr9K/zKvXxa5drU9sJd7SIBAEEEEAAAQQQQAABBBBAQO4VklFJCbQ/rKWzarRmP8VkFAsPEUAAAQQQQAABBBBAAIEBFcj6oa0xvStfrt2P1Wh4zIvRT06obctjen7vI/ruxnYFzFuBNq27foGG7Nig6rLB0TPzGAEEEEAAAQQQQAABBBBAYAAEHNsjWaKK6XNVu+ZH2tH0ZY0uCosEntNdix9UR+cACLFKBBBAAAEEEEAAAQQQQACBGAHHCkk/tsEaPqlOdzdcraHhlwIv3qeGR37vz8BvBBBAAAEEEEAAAQQQQACBARJwtJA0Gl4xOX2ZFlYVh2lO6uf/9Zw4W3KAPimsFgEEEEAAAQQQQAABBBAIC/TvOZIZs5+rKQuu1/d2f1/HvGUDP9uhn56Yomkl3BQkY0oWyDGBUzraullP7tjUfb6wztToWbfqX265URNLM/gOnGzT1k1P6/nHm7Sp/Z2IQ1H5LH39usn65y9N1PB0mwu1tUNP3L9BrcdDZzF77RVpaNVczf3cZM2YXiH/Tz+RFemgmq+dovp27yZAofOk56m4bZMavrkqEo+JZdFtN2tu/C1/rMXedf71/sPPaMPa3TreHZz3yLjW6OpRF+mKlBZdOXlq30/i2gj3f8L4XpaPWqmVflmMJyo0HiKAgAsCFscA0x0r2xy/nUIdAwykxe1un3NiMRbTNSYETkPgPUFvOo3l0l4k5j6SvV5sJ0GzgT1aOnqeNoVuRFmsysYfq2n6uQlmLIyXyoaXhjracfRIYXS4EHt5cr+aF96m+t3mzycJpqIK1f7wPs168Wu93EfSG2R2rdZtX3lAL/k1X4LmNHSSlq2tV3VFSaJ3w695hVjTMi1YuSuuCItdpKh8gR76wW0aWxxdmcYWkju/K9VNXqW2mJjiv9u2Yu/0/v/UosW33BlV+MbGHPNs6NW68+E7Na007sJeveXEbySUmyYtGZvM0lK/rMXjB87vXBZgXMjl7CWIvbfvd9pjgGnb0jbHOx6soMcAQ9lbXsw8ZuqPccBaLF0h8zP/BPprXHD40NZwUos+rAtH+v+p+7MOHv4fcc2d/PvA06OwQOcBNc+bm7yINLOFrmT8FX3/wF9SsJ1SR9NcTa7ppYg0LRzfpfqUt9k5of2ra/SFXopI01Sg/R7NnteS/MJYnc+o4Ut3xhWR3oJF4/TZyz9kmvAme7F3drSoetaq9IpIs+rj27X4xu+pLWYj84b2rFqYOidmWTOFrzLd3BH6y1fXa5GftvplK55IYDxAAAFXBKyNAaZDtrY5hT4GGEtb210bObEVi+kXEwJ9E3C/kNQ5KhvlHywX0Jsn/qi/9a3PLI2AowLeANPybd31on/4qTnkcrma97wsswe64+hh7d/WqNqqYaGCZdOWXyfph7cXrvUOzVn5XNctdEKHnt6kb7S06mCoHdPWy9rtrSvUlmnFFEBfbdSekzEVlPeGaatRX1vbFm7Lq/m8w1CXRbf1y61qmFXuraVrCrz4b6prOZD4Dz6//qlajwW8Nr6sdZF+ebFsvF2VoUPWbcb+ez266r5I0WriXtK4VfsjBsbhiA7uadE3bqmKXNhLx1q1q727SO/09mh+a+NvuzpXVK6ZK1q0u6Nr2a68vKDNjTercmhYILBfD27+dVz/7fXLTjzhZPELAQQcErA1Bpgu2drmMAaENB0aBxgDHPrKEopkDm3N5vTu7iXBj50/PHiB+XfN+uCRjFf2drB18fiu5b02Pra4Nfhuxm3kzwIhR8+BKQ8F3t4ZrLtkRPizPjo4ff3Lwb8m7Obr3nfiM5HvxAXnjwpOWf9K95x/fTnYNHV0Gu2YRd4MvtAwNfgR8/08f0Tw0w0vxK3zteCWeWMi6/rINXcFX3g7UVT/Fzy8/vpwO15bExqCL0ZmeyXYdM2oSBsXXFgT3PJm5M3uuM0jm7G/uSVYfWF423PJsmBrwrj91UebjglWb34t/Ma7wSPrZ4ZjT+TjL++Ffnh9cLq/vpj+2+yXpXi6w+ZRHggwLuRBEk0XbI0Bpi1r29JCHwMMpqXtrpWcWIrFdIsprwX6a1zIgT2SlPsIFIZA4MWn9Hj4AjZFF9+q1fNGKfpMw26FszVx+QrN9PeAdb8RetTZ/qgeDO/VLKr6ltbVJGvHzF6isYtWaN4wszctoGOPP6X26J2SJ57TEz87GWpXGql5374l7vzH8FveVZbLps3UZf5uybi9ev5c5vfgqV/QNUkumGU19pJpajoU3nP43CpNjDlvMzoi87hYpSPOCb94Sm+89af4GULP/9rRod9F+0TNNaisRpv99T1dp4qo5FntV9Q6TzeeqCZ4iAACjgjYGgNMd6xtcxgDenw6Tne7ay0nURGdbixRTfAQgT4JUEj2iY+FEbAl8Bf9at8vvTNazFSsy2ZfpbKoQqTHWoon6PNTuy68FPuedxjSbzr0v6EXvXY+N94rFXuZBpVp3KXhuY7t1/5Xu6+CE/jvvfqF/3RYpSaVn5G8sejC7eiTWlKRaN5iXXrJRyKHwcY2Zjf22LYTPfMuQtH6H2puatK6JTM0eeW+BDMV6bxPjJV3MLE3BXR8Z52qJlRrjbdMc8seHU1SVMY2ZLNfNuKJjY5nCCDggoCtMcD0xd42hzHAeNrY7trKiY1YTJ+YELAj4PjtP+x0klYQcF/gpI4cfD0c5jkacYF/XnCyyM/QRePGaPDag+Hi05/vHbXvfSl8PuNJtS6coLKF/nvp/P6dDh/5s1Rq1h/Qa965gP5lYwZf+kldlKq4Tad5b89lyVmJCkyzsM3Y44IJXWb9Bb3VeVjbGzemvopt3KKDyqfoxosfUr1/7urx3Vq3cndorvo7vF9Dq1Q7f4Iu/MS1mpbwyrd2+9X3eOI6yFMEEHBAwNYYYLpia5vzfsaA8Cej79tdWzkpVt9jceDjTgh5I5ADeyRfV8cB/9C6wRox4sNJ9mbkTU7oSEEK/ElvveGXbB/QkGL/GNHkGO89a4g+mPzt03znlE687V9oJqC33/rDabYzEItFx+6v31yy/iZNGDNNi1euUn1DZkVkqJVBo1Tdsk615Wf6jcb+DhWWd2jx1E+obLy3t3JLm/wtVuyMp/ssrl8DHs/p9oPlEEAguYArY4CJ0N/mMAZE8jXg210/J15EAx5LRIUHCMj9QvLEr7T3Zf8/2MUaVeafx0T2EChsgUHFQ3SWdYLk5wdaX5X1BuNj7+2S9cNUectSLVux3Lui7ZPauWJc8oiKP6Uljz3vXen2O1oSdYXaHguYonLh53XVkl0Wi8n4fnlrHdB4evSaFxBAYAAEsjMGmI4k2OYMQP8yX2V83BbHABPMgG534/o2oLFknhmWyF8Bxw9t7dSJn+zQz/1ztIpG65P/mGSvQP7miJ4VhMDfacjZ5n6p5o8mf9BbJ82HPvVeycCRwzqU0maoZrY8oYbK3g6TTdZIkc4a8oFkb2b59b7G7p0l1Nas2yO3LTG3UqnR1Zf8k2ZMr/DOQo2fAjraEf9a/PPBGl75RdWaf2vM+ZWb9VTH2zr8eJM2tfu3bDHLeOdSblyphsljPPuz4xrpe7+6G7QRT3drPEIAgYEUyMYYYPrTl21OgDGgx0fCxna3LzmJDshGLNHt8RiBzAXc3iPZeUjbHvLvhef9t/rTk/WZJFd7zLzrLIGASwLeVUNH+nvbX9eh3/R2cGTs+YvdPXm/d/XR88JPT+jZfR1x9zPsnrP3R+/VmUOKI+XsqV88r1+lvLiMV4w1zVLZ8NLQv48v2RM+V7P3NXXNYTP2v6h9Z6uOhRou0tBZjXpgza2qTlhEmpkyPYSrawCvrrlVDY+1e/ejjLuXpH7v2b8atrfZry6pnj8ziafn0ryCAAIDLWBrDDD9sLXNYQxI/anIZLtrKyfJIsoklmRt8DoCmQs4XEh6f/F/5F5t8C9wofN13ezLer8CZeYGLIGAAwJnqPzKyvDVQb2L5Hz3QbWlKto627Xx33+ZIO7YK7od27ZFPzuZqqEETUReGqSSi8dplP88xS09QrN0duipJw6E5051dVa/wfjfNmN/VydP/DG8ghJdNnlcgr2QUes/+Yx+tO1I1Av+w4NqvvajXcXxiJu09UQyyxJVTK/TfaumepcTMlNAb3rr/1vosc1+2YgnFBQ/EEDAKQFbY4DplK1tDmNA10fExnbXVk5sxOLUB59gclzA0ULSKyJ3rdZtS7freBi46OLZqvlM/GFiOa5P+AhECQwqv0JXhe7n6L147CF9+65nk5xn5533cddKtRzzj/mOasR7GNPO8c36xpItqW9TcXKXlo4fGS6WvqDmDv+cZK+x0qs0p8o/EPSgWr65VvsTFqZxf/gpGqfPXv6h2MDSeGY19sj6/qzDHceT75k9+azWzFmoTeF7eEYWCz0YprET/qHrpcBP1Li6NUlOzCyn9GqHvxeySB8s+fvISej2+mUnnq4O8RMBBFwSiNlO9GEMMH2Kaasv40DBjwFG0852105O7MRiesWEgA0BtwrJziPa410dcc38SaqqeaD7Ev1F47XozhtT31fPhgZtIDCQAoPG6KY7ZnhntJjpHb209ku6av5qbW07EY7Kuw9V21bv+3GdZkXO/Qu/Ff0rpp2uex9OnlqndfFXEzW3xGiqV83kr4aLKO8Q0KnzNKOsa59aV5MfUuXsz4Zj8vaztd+j2XOWq7n1SHdhZtpZvUCzF/p/+DHtzFTl6RyGbi32M1V+yejwYbnvqG1ljW6+a1dsQW3i/n6drht3g9bFnON4SocOvRY+LNfbSzBjhipCp6uacx+/6uWkXhui++9BdR7Zow2ewZyV/qH4pbrqyo8qcrcUa/2yFE/054XHCCDghkDMdqIPY4DpTUxbfRkHCn0MMJiWtrtWcmIpFtMtJgQsCLwn6E0W2knaRKC1TmPmbQxdQiTpTKneKKpQ7Q+btGRsqtuqm139U1TfbvakDNboFY/qkZqRqVrN2ffM+Wdm6jia6DC8nO0WgUcE3tCeJTNVvfG3kVcSPzhfU2adpyc3Pu19txJ95ruuVjc7VcEZ3/BQb2/kju9oYnGk/AnPkVlbReUL9NAPbtPYSDvR3890LjKQ2fpCQSaK3expjRTJ8Z1N/byoqlHP3D8tfCh9pvF4F/a5ZZ0eqPtU3OG0mbbjxZioX8q0nWTxpDbg3dwRYFzInVz1HqmtMcCsKdNthbeIhW1O/o0Bp2OZbLtrIyeZtpEsFtMvpnwV6K9xwa09kjHZ9PZqVH1NzTv/s5ciMmYhniCQ4wJna2L9Bq27oTxykZueHRqmSY33a9Xkc3u+FXmlRGPrmvTwikmRvYmRt3o8MN+15dqcsIg0M6fbVlc7D8cUkT1WlsYL6a7PNJUi9uJKLb23VqNTX/w23Ia3rWm5XaPD0QVeOaRXI6dDevEsatQ9KXMSXlDegH1Dg+5eFF9Emvct9cu0YyUeP2Z+I4CAOwK2xgDTI4vbnLTGk3wdA8KWVra7NnLCGODO95VIHNsjaTZCczV3/Hkqu2KGJpZGH2KXKlnRezwS7Z1JtWxuvddff2HILZV8jNYcxvq4Nu/crg1rd4fPFTbfj/lauKBa0ypK1L23v5fPvDmEc9PTer7HbSrMfRS/qEvHXak5laXdh2Gm4gy1tUNP3L9BrZFzCru+t9Wzr0/STvT3M509klEB2Ig9YczeOoZWqXb+5Rrnb2s6D6h55izVhy7wNVK127ZpScUZUcGEc7L3WW1v3Nh96L2ZI76tqKUSPrTRL+/g4tBnxEY8CYPkxVwRYFzIlUxlEqfFMcCs1so2x2+nUMcAA2lxu9vnnFiMxXSNKa8E+mtcyHohmVdZcaAz/fXBcKCrhIAAAgggkIYA40IaSMyCAAIIFJBAf40LDh/aWkDZpqsIIIAAAggggAACCCCAQA4JUEjmULIIFQEEEEAAAQQQQAABBBBwQYBC0oUsEAMCCCCAAAIIIIAAAgggkEMCFJI5lCxCRQABBBBAAAEEEEAAAQRcEKCQdCELxIAAAggggAACCCCAAAII5JAAhWQOJYtQEUAAAQQQQAABBBBAAAEXBCgkXcgCMSCAAAIIIIAAAggggAACOSRAIZlDySJUBBBAAAEEEEAAAQQQQMAFAQpJF7JADAgggAACCCCAAAIIIIBADglQSOZQsggVAQQQQAABBBBAAAEEEHBBgELShSwQAwIIIIAAAggggAACCCCQQwIUkjmULEJFAAEEEEAAAQQQQAABBFwQoJB0IQvEgAACCCCAAAIIIIAAAgjkkACFZA4li1ARQAABBBBAAAEEEEAAARcEKCRdyAIxIIAAAggggAACCCCAAAI5JEAhmUPJIlQEEEAAAQQQQAABBBBAwAUBCkkXskAMCCCAAAIIIIAAAggggEAOCVBI5lCyCBUBBBBAAAEEEEAAAQQQcEGAQtKFLBADAggggAACCCCAAAIIIJBDAhSSOZQsQkUAAQQQQAABBBBAAAEEXBCgkHQhC8SAAAIIIIAAAggggAACCOSQAIVkDiWLUBFAAAEEEEAAAQQQQAABFwQoJF3IAjEggAACCCCAAAIIIIAAAjkkQCGZQ8kiVAQQQAABBBBAAAEEEEDABQEKSReyQAwIIIAAAggggAACCCCAQA4JUEjmULIIFQEEEEAAAQQQQAABBBBwQYBC0oUsEAMCCCCAAAIIIIAAAgggkEMCFJI5lCxCRQABBBBAAAEEEEAAAQRcEHifC0EQQ+YCZcNLM1+IJRBAAAEE8laAcSFvU0vHEEAAAScF2CPpZFoICgEEEEAAAQQQQAABBBBwV+A9QW9yNzwiQwABBBBAAAEEEEAAAQQQcE2APZKuZYR4EEAAAQQQQAABBBBAAAHHBSgkHU8Q4SGAAAIIIIAAAggggAACrglQSLqWEeJBAAEEEEAAAQQQQAABBBwXoJB0PEGEhwACCCCAAAIIIIAAAgi4JkAh6VpGiAcBBBBAAAEEEEAAAQQQcFyAQtLxBBEeAggggAACCCCAAAIIIOCaAIWkaxkhHgQQQAABBBBAAAEEEEDAcQEKSccTRHgIIIAAAggggAACCCCAgGsCFJKuZYR4EEAAAQQQQAABBBBAAAHHBSgkHU8Q4SGAAAIIIIAAAggggAACrglQSLqWEeJBAAEEEEAAAQQQQAABBBwXoJB0PEGEhwACCCCAAAIIIIAAAgi4JvD/b16HYaw1sCIAAAAASUVORK5CYII=" alt></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle undergoes simple harmonic motion (SHM). The graph shows the variation of velocity <em>v</em> of the particle with time <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">What is the variation with time of the acceleration <em>a</em> of the particle?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle oscillates with simple harmonic motion (shm) of period <em>T</em>. Which graph shows the variation with time of the kinetic energy of the particle?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Light travels from air into glass as shown below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">What is the refractive index of glass?</p>
<p style="text-align: left;">A. \(\frac{{\sin P}}{{\sin S}}\)</p>
<p style="text-align: left;">B. \(\frac{{\sin Q}}{{\sin R}}\)</p>
<p style="text-align: left;">C. \(\frac{{\sin P}}{{\sin R}}\)</p>
<p style="text-align: left;">D. \(\frac{{\sin Q}}{{\sin S}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>When a sound wave travels from a region of hot air to a region of cold air, it refracts as shown.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What changes occur in the frequency and wavelength of the sound as it passes from the hot air to the cold air?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Wave generators placed at position P and position Q produce water waves of wavelength 4.0 cm. Each generator, operating alone, produces a wave oscillating with amplitude <em>A</em> at position R. Distances PR and QR are shown in the diagram below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Both wave generators now operate together in phase. What is the amplitude of the oscillation of the resulting wave at R?</p>
<p>A. 0</p>
<p>B. <em>A</em></p>
<p>C. <em>A</em><sup>2</sup></p>
<p>D. 2<em>A</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two wave pulses move towards each other as shown in the diagram.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Which diagram shows a possible combination of the two pulses after a short time?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram shows the variation of velocity <em>v</em> with time <em>t</em> for an object performing simple harmonic motion.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Which of the following shows how the acceleration <em>a</em> varies with <em>t</em>?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A wave of period 5.0m s travels through a medium. The graph shows the variation with distance <em>d</em> of the displacement <em>x</em> of points in the medium.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>What is the average speed of a point in the medium during one full oscillation?</p>
<p>A. 0m s<sup>–1</sup><br>B. 4.0m s<sup>–1</sup><br>C. 16m s<sup>–1</sup><br>D. 400m s<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was an unusual question, and it was disappointing that candidates did not naturally calculate </span><span style="font-size: 10.000000pt; font-family: 'Arial';">‘average speed’ as total distance divided by time taken. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which of the following correctly describes the direction of a ray drawn relative to a wavefront for longitudinal and transverse waves?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>It was clear from paper 2 that candidates had no real grasp of the physical meaning of the different ways of representing a wave. They are comprised of oscillating particles, but can be represented either as ray, or as a series of wave fronts or graphically. It appears that this area of the syllabus is not being rigorously taught.</p>
</div>
<br><hr><br><div class="question">
<p style="text-align: left;">Two wave pulses travel along a string towards each other. The diagram shows their positions at a moment in time.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA3gAAADcCAYAAAAiCwMrAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxppVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+ODg4PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjIyMDwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgr8rHk1AAA0K0lEQVR4Ae3dB3xUVdrH8T+pJCSE0JHepSuCCIKKgnQLICtFlF0UARFZFVfd176KCqKCq4hgQWwINnARCyBFRaQpqEFEIPQQ6QESkjfPwWDAkARS585v3s+8M8zcuXPP97lm7zPnnOcUSUm9iRsCCCCAAAIIIIAAAggggIDPCwT4fAtoAAIIIIAAAggggAACCCCAgBMgweNEQAABBBBAAAEEEEAAAQQ8IkCC55FA0gwEEEAAAQQQQAABBBBAgASPcwABBBBAAAEEEEAAAQQQ8IgACZ5HAkkzEEAAAQQQQAABBBBAAAESPM4BBBBAAAEEEEAAAQQQQMAjAiR4HgkkzUAAAQQQQAABBBBAAAEESPA4BxBAAAEEEEAAAQQQQAABjwiQ4HkkkDQDAQQQQAABBBBAAAEEECDB4xxAAAEEEEAAAQQQQAABBDwiQILnkUDSDAQQQAABBBBAAAEEEECABI9zAAEEEEAAAQQQQAABBBDwiAAJnkcCSTMQQAABBBBAAAEEEEAAARI8zgEEEEAAAQQQQAABBBBAwCMCJHgeCSTNQAABBBBAAAEEEEAAAQRI8DgHEEAAAQQQQAABBBBAAAGPCJDgeSSQNAMBBBBAAAEEEEAAAQQQIMHjHEAAAQQQQAABBBBAAAEEPCJAgueRQNIMBBBAAAEEEEAAAQQQQIAEj3MAAQQQQAABBBBAAAEEEPCIAAmeRwJJMxBAAAEEEEAAAQQQQAABEjzOAQQQQAABBBBAAAEEEEDAIwIkeB4JJM1AAAEEEEAAAQQQQAABBEjwOAcQQAABBBBAAAEEEEAAAY8IkOB5JJA0AwEEEEAAAQQQQAABBBAgweMcQAABBBBAAAEEEEAAAQQ8IkCC55FA0gwEEEAAAQQQQAABBBBAgASPcwABBBBAAAEEEEAAAQQQ8IgACZ5HAkkzEEAAAQQQQAABBBBAAAESPM4BBBBAAAEEEEAAAQQQQMAjAiR4HgkkzUAAAQQQQAABBBBAAAEESPA4BxBAAAEEEEAAAQQQQAABjwiQ4HkkkDQDAQQQQAABBBBAAAEEECDB4xxAAAEEEEAAAQQQQAABBDwiQILnkUDSDAQQQAABBBBAAAEEEECABI9zAAEEEEAAAQQQQAABBBDwiECQR9pBMxBwAikpKccejybpyOEEHdh/SMFRJRURGqSAIicjJWnPrngdPJyiYtGp2xQNzmCbkz/DvxFAAAEEEEAAAR8QSL0msquilOSjSjxySAf3JygwPFLhYaEK+stFUZL279mrAwlHFBoRpYiwogoK/MuFkw80mkM0ARI8zgPPCCTuj9e2nbsUv2uL4nbuUVzcFq1ft0PVO1+vLudUVkTIiR3WCTt+0Htv/U9rNx9S1caddMUV56psZKhO3MozPDQEAQQQQAABBPxEIClhr3bGxaVeC21VfNxu7dy5TZs27FCp8zqo3QUNVCH1eqdIuvzt8O+/6rOP5mjlzztVsvqF6tCxhaqfVVzBf0kE/QTQx5tJgufjAeTw/xTYt2Gp3npvnlZ9PU0fzP1N+w4muTfP+72WWtS6WsVKhind3zJtnjtFDz46Ub9t35e63ZeKXvaaujWprKJkeH+i8gwBBBBAAAEEfE7gwNY1mv3x51r85Qf637zvtSXukGyQU/3eKapcqaLKnl1WQekyvB1LZ2n8009r3spNOpp8nh6fOlYDul+g0kWDTrh28jkIPz1gLmX9NPBebHZwqBQQUVMXt++pGpVS/3AFHju9v5u/TFv3HVLySY1ODghW0dQ/bse2mqd1O3bpSNLJW530If6JAAIIIIAAAggUcoHg4BQFFKukpq26qF6dWgoLDXZHvOa7n7Rh++86nHxsSktaM1KKBCo0IECBLulbqs2/x2r/oaMuKUzbhkffEaAHz3dixZFmIRBZ63LdftuxjVqUPqquIyZo48690sqvtXbbATWpFK3wwD93Uu3inrqm9md6cddK7UgMVUhQ4AnDFf7ckmcIIIAAAggggIDvCIRXbqnrB7R0B9y+bgndeM/TWrBqg47GrNLGTXHad7i2uyZK68Sr0LSdujScq/UxO7V2f4qCg1LrEtAN5DsBP+lICd1JIPzTGwL123VQ6YiIP3rnFmntpu06knhi71xI2WZ66L1ndFGV8ioaeYXqnlUuNcnjPwlvnAG0AgEEEEAAAQRMoHqLljqrfPnU+XR2jbNSm7Zt0L7UYirp+/CCS9bXkKcfULfW5yi6eFtVLVdDkanF59ISQCR9S4CrWd+KF0ebTYHA0rV0bUSIov44w3/6dacOHzk2J+/PXaRo35b1Wp54RBHXX646ZSMUmn6S3p8b8gwBBBBAAAEEEPBJgcASldWheKSqpo5issui37b8rr2pVcbTKo8fa1SKDsTFanXCAanbBapRu7wig4ow/84nI34szj566Bw2ApkIBJZVvctSE7ZixzK8bTv26cjRE3vwjh6K0/uT71dC6suP9mqhs4qHZbJD3kIAAQQQQAABBHxQIKCkqp0fpeLlUgumpP6QHRd/QAcPJZ3Qg3f0yB7NmzFe23ds1tD2jXVulVInFGHxwVb79SHTg+fX4fdy48NU47xLFFI03DVy4fJftSt1OMLxFC/5kH6d87LueztJ1Xs/o8sbVFOxYLrvvHxG0DYEEEAAAQT8UyBUleufr4joMrIMb8XPmxX7+34l/bF2sJIPK3bx+xr77nbpgpFq26KFyhZjeKYvnyskeL4cPY49U4GI0mUVEPRHHaEDh6XjFaOStf+3z/XI8Kd1VJ318D/aqUI0vXeZYvImAggggAACCPisQFiJaAWFFj12/AePSMerhifr4JYlmvif57U5tq6GXt1RTaqXUSDr3/lsrO3ASfB8OnwcfGYC5arXUlBwyLFNDu3VodQhmjah+Mi+jXr1wWGad1T615Rb1Kx6SdF5l5kk7yGAAAIIIICALwuUOit1nd/U4nNFbIzmkYM6nJSoo6kXRUcObtOHLzysT2I3qufDvXVZm9oqHhzA3DtfDnbqsZPg+XgAOfxTCySl/uFKXRrv2B+plSsVuztBhw7u0YLXRumx+Sm6bORruub82ooI4T+DUyvyDgIIIIAAAgj4uoBdE9lKeO6KJyZGO1PXwtt/cJ+WfThJz3yyVZV7/kfXtL9IFSNDqJzp68FOi7MH2kETEPiLQNEyVdUsdR2XY4MvA1L/sB3Uuk8naOATc5TS+T7ddW1LlU79Q8YNAQQQQAABBBDwskBodAU1DI1QydQePPu/IB3W5q+n6d5nP9SG2r3192s76uxKUalr31GPwAvnAQudeyGKtCFDgcCIUiodEKhja5sH68e50/T8ExNVpHZ/Tb/ratUsVYwhCBnK8SICCCCAAAIIeEkgIDxK0UEhbmST9eWt/+5zff3FHG0OaKExQ67RJXVtnTySO6/EnATPK5GkHX8VSElfAniW7h4xT+Uq3qBXx9+ippVLpJb//etHeAUBBBBAAAEEEPCcQPLR1DoEVonAbgs0bvRSlSp3lR59frA6Na+pYkHMuztm443/T4LnjTjSiowEUoooMfVv2bE/Z2EqW/FavTjzfl1cv7SYdpcRGK8hgAACCCCAgDcFiqQui5BaUDy1cUVUVNHlOuqB5/6lHh3rKSqU5M5rMSfB81pEac+fAiHFVTk0MLVCZlGVOesqjf/gYbVvVEZFj43Z/HM7niGAAAIIIIAAAl4WCC6mcqHBCg8oqpLlLta/nr1HvTo1UMkwkjsvhp0Ez4tRpU3HBAJLqnazCqp65Bzd+fpj6tKkvMJI7jg7EEAAAQQQQMDfBAKKq0qDCqoec7FuvOde9e3cRGVSL4qYreLNE6FISurNm02jVQgc1Zaf12hPeDXVrBChECbdcUoggAACCCCAgF8KJGvnb+sUr2idVT5aEanDmUjuvHsikOB5N7a0DAEEEEAAAQQQQAABBPxMgBWe/SzgNBcBBBBAAAEEEEAAAQS8K0CC593Y0jIEEEAAAQQQQAABBBDwMwESPD8LOM1FAAEEEEAAAQQQQAAB7wqQ4Hk3trQMAQQQQAABBBBAAAEE/EyABM/PAk5zEUAAAQQQQAABBBBAwLsCJHjejS0tQwABBBBAAAEEEEAAAT8TIMHzs4DTXAQQQAABBBBAAAEEEPCuAAmed2NLyxBAAAEEEEAAAQQQQMDPBEjw/CzgNBcBBBBAAAEEEEAAAQS8K0CC593Y0rJ8FDh69KhSUlLy8Rv5KgQQQAABBBDwB4GkpCSuMfwh0LnYxqBc3Be7QsBvBTZu3KjExESVKlVKJUqUUGBgoN9a0HAEEEAAAQQQyLnAkSNHtGfPHsXGxqpq1aqKjo5WkSJFcr5j9uB5AXrwPB9iGpgfAosWLVKPHj306KOPasWKFdq1a5esV48bAggggAACCCBwOgKW2O3cuVMLFy7UyJEjdcstt+iHH35QcnLy6eyGbf1YgB48Pw4+Tc9dgR07duipp57S66+/rn79+qlPnz6qVq0aPXq5y8zeEEAAAQQQ8KRAWo/d999/rylTpmjmzJnuB+NatWoxRNOTEc+7RpHg5Z0te/ZTARI9Pw08zUYAAQQQQOAMBE6V2DG3/www+YgTIMHjREAgjwRI9PIIlt0igAACCCDgAYHTSews2SPh80DQ86kJJHj5BM3X/Clw8OBB7d2711NjyXfv3n3K9mSU6FWvXt0N3QwIYBrsn2cGzxBAAAEEEPC+wOkkdqZhVTTj4+O1bds2zxRxs2J0UVFRCg0N9X7AC6CFRVJ/DaC2ewHA+/NXzp49Wy+99JJL8rzisHXrVsXExMj+aGd1K1++vIYMGaJBgwapTJkyVMTKCoz3EUAAAQQQ8JDAjz/+qP/+97+aNm2a7EfgrC7FixUrpvr167sfhr1SRbNcuXIaMWKEmjRpIn7szv2Tmx683Ddlj1kIBAcHKzIyMss/aFnsplC9bT14Wf3RtT9gxYsXd0mdGaStnZfV5wpVQzkYBBBAAAEEEMiRgC2rFBISotKlSyshIUEHDhzItPK2XSeEhYUpIiIiR99bmD4cHh7umd7IwuSadiz04KVJ8IhADgSscubtt9/ufok7eTdpiV3lypVdZc3+/fvLevH4xepkKf6NAAIIIICA/wisWrVKr776qj755BNt2rTplIle7dq1NXHiRLVu3ZqkyH9Ojxy1lB68HPHxYQROLUBid2ob3kEAAQQQQMDfBRo3bqwxY8bo+uuvd4nenDlztHHjxlMmev7uRfuzL0CCl30rtkQgWwIkdtliYiMEEEAAAQQQSBVIS/Rs/bu0Hj0SPU6NnAiQ4OVEj88i8IeAjY+3ilAlSpSQDcXs3bu3+0WOoZicIggggAACCCCQHYFGjRpp9OjRx3v0bOimJXpM6ciOHtukFyDBS6/BcwTOUKBo0aKqV6+e2rVrR2J3hoZ8DAEEEEAAAQSkkxO9tWvXspwAJ8ZpCVBk5bS42BiBjAU2b97sqltZdVB+acvYiFcRQAABBBBA4PQFrBevZMmSsuUSqLx9+n7++AkSPH+MOm1GAAEEEEAAAQQQQAABTwoEeLJVNAoBBBBAAAEEEEAAAQQQ8EMBEjw/DDpNRgABBBBAAAEEEEAAAW8KkOB5M660CgEEEEAAAQQQQAABBPxQgATPD4NOkxFAAAEEEEAAAQQQQMCbAiR43owrrUIAAQQQQAABBBBAAAE/FCDB88Og02QEEEAAAQQQQAABBBDwpgAJnjfjSqsQQAABBBBAAAEEEEDADwVI8Pww6DQZAQQQQAABBBBAAAEEvClAgufNuNIqBBBAAAEEEEAAAQQQ8EMBEjw/DDpNRgABBBBAAAEEEEAAAW8KkOB5M660CgEEEEAAAQQQQAABBPxQgATPD4NOkxFAAAEEEEAAAQQQQMCbAiR43owrrUIAAQQQQAABBBBAAAE/FCDB88Og02QEEEAAAQQQQAABBBDwpgAJnjfjSqsQQAABBBBAAAEEEEDADwVI8Pww6DQZAQQQQAABBBBAAAEEvCkQ5M1m0SoEMhZISUnJ8I0iRYpk+DovIoAAAggggAACCCDgSwIkeL4ULY71tAQsmUtMTNShQ4d0+PBh9/zo0aOye1JSkiypCwwMPH4PDg5WaGiowsLCFBQU5N4/rS9kYwQQQAABBBBAAAEECliABK+AA8DX566AJXWW0O3fv1/79u3T2rVrtWzZMv3444/auXOn4uPj3X3Pnj0ugYuKilJ0dLS7ly1bVg0aNNC5556rmjVryt6LiIhwSR89fLkbJ/aGAAIIIIAAAgggkDcCRVIviDMes5Y338deEcgTgeTkZJfU7d69W4sXL9bs2bO1aNEil+RZr5wlbxUqVFDp0qVVpkwZlSpVSnbqW8IXFxfn7ps3b3aPBw4cUMmSJXXBBReoW7duOu+889z2luwFBDBtNU8CyE4RQAABBBBAAAEEckWABC9XGNlJQQnYcMu9e/fKkrOPPvpI06ZN0/bt211C1rx5c1144YVq06aNqlev7oZdZnacliTGxMS4BHHhwoVaunSp21e1atXUo0cPde7cWRUrVlTx4sXdsM7M9sV7CCCAAAIIIIAAAggUhAAJXkGo8505FrBkzIZZrl+/Xm+++abee+89N8/OkrprrrnGJWOWiOVkaKXtf9asWW7/q1atUkhIiEv0evXq5RJGG8JJj16OQ8kOEEAAAQQQQAABBHJRgAQvFzHZVf4I2Py6jRs36rXXXtM777zjhlq2b99eAwYMcMMpLRHLzZslk9aj9/LLL+vLL79039e7d2/Z3XoGw8PDc5RI5uaxsi8EEEAAAQQQQAAB/xYgwfPv+PtU6204phVKsd668ePHuzl3HTt21JAhQ1S/fn1ZFcy8vn377bd6/vnnNXfuXFeAZfjw4erQoYOb32eVN7khgAACCCCAAAIIIFCQAiR4BanPd2dbwAqfrFmzRv/5z39kSZYVPrnzzjvVokULN3Qy2zvKpQ0///xzjR071h1Lu3btdNttt7kkk968XAJmNwgggAACCCCAAAJnJECCd0ZsfCi/BGx45K5du1yv3VNPPeW+dtiwYbruuutcsZP8Oo6MvseSTuvNmzRpknv7rrvucr15VrHT1tfjhgACCCCAAAIIIIBAfguQ4OW3ON+XbQFbnNyKqDz22GOyHrOmTZvqwQcfVKNGjbKsiJntL8mFDb/55hs99NBDrupmz5493ZDRWrVquZ7FnBR5yYVDYxcIIIAAAggggAACfiZAgudnAfeV5trSBwsWLND999/v1qobOHCgBg8e7BYkL4xtsIqbo0eP1tSpU1W+fHn93//9n1q1aqXIyEgqbRbGgHFMCCCAAAIIIICARwVI8DwaWF9tlg3JtEIqNuxxwoQJbt25hx9+WK1bt5YtWF7YbzNnznTzBGNjY3XHHXe4ZRVsgXWGbBb2yHF8CCCAAAIIIICANwRI8LwRR0+0IjExUb/++qseeOAB13tnSx9YD16VKlV8qhfM2nDffffps88+05VXXukKsNiQzfyo8umJE4FGIIAAAggggAACCJyxAAneGdPxwdwUSEhIcBUprVDJ9u3bZYVUbFimDXH0xZu158knn9Qrr7yiqlWrujl6zZo1U9GiRVkzzxcDyjEjgAACCCCAAAI+IkCC5yOB8vJh2ny7WbNmuZ47W2bg0Ucf1aWXXuoTQzKzisu0adNce6xgjBVisSUVoqKiSPKyguN9BBBAAAEEEEAAgTMSIME7IzY+lFsC8fHxbr7duHHjdPbZZ7tCJQ0aNPDUnLWlS5fKeiZjYmJ0zz33qHv37ipTpoxPDTvNrXizHwQQQAABBBBAAIG8FSDBy1tf9n4KASumYkMxR40apenTp7seO1vEvFKlSp7s3dq0aZNbmH3evHkaNGiQBgwYoMqVK3sqkT1FqHkZAQQQQAABBBBAIB8FSPDyEZuvOiZw9OhRV0zl7rvvlq0h169fP5f8lCxZ0tNEtpSCLZ/w7rvvqkuXLrr99ttlxVeCgoI83W4ahwACCCCAAAIIIJB/AiR4+WfNN6UKHDlyRN9//73++c9/auPGjS6x69+/vyIiIvzCx9pv6+VNnDhR9evXd/MOGzdu7In5hn4RQBqJAAIIIIAAAggUcgESvEIeIC8d3sGDB7Vw4UKNHDnSJXpWTKVjx46usqSX2pmdtrz22mtueKoVlbFhqi1btpQ9L1KkSHY+zjYIIIAAAggggAACCGQoEJDhq7yIQC4LWKXMGTNmaMiQIa63ynqwbJiiLRvgjzfrtXz22Wfd8EwzsSqiu3fvVkpKij9y0GYEEEAAAQQQQACBXBKgBy+XINnNqQXSV8ps2LChxowZozp16lBgJJVs5cqVrkdz9erVuvfee6mweerTiHcQQAABBBBAAAEEsiFAgpcNJDY5MwHrjdq2bZsef/xxV1jksssuk1XKrFixIkMR05HGxsa6uYhz587VzTff7CpsWjXRwMDAdFvxFAEEEEAAAQQQQACBrAVI8LI2YoszELBKmRs2bNC//vUvffXVV35TKfMMqNxHrMLmv//9b5cId+vWzRWhocLmmWryOQQQQAABBBBAwH8FSPD8N/Z51vLExETZkEOrlLlu3TrdcccduuGGGxQZGZln3+mFHVuFzSeeeMIt/G6VNe+//37ZkNaQkBAvNI82IIAAAggggAACCOSDAAlePiD701ccPnxYS5Ys0W233SarmvnII4+oc+fOCgsL8yeGM26rDWudPHmyW0rB1gW0CpvNmzd3hWmosHnGrHwQAQQQQAABBBDwGwESPL8Jdd431BK6efPmuR670NBQjR07Vq1ataIH6gzoP/74Yzdk04a62hzG1q1bq1ixYsxdPANLPoIAAggggAACCPiTAMsk+FO087CtNods2rRpuuWWW2Q9Ty+99JJLShheeGbo1us5btw4twD8sGHDNHPmTLeMQnJy8pntkE8hgAACCCCAAAII+IUAPXh+Eea8a6QNKdy1a5cmTJigF154QTZ37KmnnlLt2rUVEMDvBzmVt7mMNodx1apVrtJmr169VK5cOSps5hSWzyOAAAIIIIAAAh4VIMHzaGDzo1lJSUmyEv8PPfSQ5syZo44dO7rnFSpUYChhLgZg8+bNrhrpZ599pt69e7ulFGrUqOEWSc/Fr2FXCCCAAAIIIIAAAh4QIMHzQBALogkJCQn6/vvvXeLxyy+/aNCgQW54ZlRUVEEcjue/c//+/W4NwTfeeENNmjTRPffc43pLrXgNxVc8H34aiAACCCCAAAIIZFuABC/bVGxoAjYkc/fu3Zo9e7Yefvhhl1w88MAD6tq1K5Uy8/gUsfl3L7/8shsCa0mdubdt21bR0dEMh81je3aPAAIIIIAAAgj4igAJnq9EqhAcpw3J3LJli5577jlNnTpVZ599tqvwaD1KQUFBheAI/eMQFi9erPvuu09r1qzR4MGD1bdvX1WuXFnBwcH+AUArEUAAAQQQQAABBE4pQIJ3ShreSC9gQwSt0If1Gv3444/q0aOHG55pBT8YIpheKn+eb926VQ8++KA++ugjt07eXXfdpUaNGrGUQv7w8y0IIIAAAggggEChFSDBK7ShKRwHZuuwWZXMd999161rZ8se2Pyvq6++WuHh4YXjIP30KBITE92i6OPHj9eRI0c0cuRIV+imfPnyVNn003OCZiOAAAIIIIAAAiR4nAOnFLCFy9euXavHHntMCxYsUIsWLVyvUb169RiSeUq1/H/ju+++c3FZsmSJmws5dOhQ1a1b182JpHc1/+PBNyKAAAIIIIAAAgUpQIJXkPqF9Lut1y4+Pl4ffvihxowZ43qHbK7XwIEDRZXMwhm0ffv26ZlnntGUKVMUGhrq1s5r164da+YVznBxVAgggAACCCCAQJ4JkODlGa1v7tjm2sXExOjJJ590vXa2cPn999+vpk2bUsTDB0I6f/581+O6YsUKde7cWUOGDHG9ecWKFaPSpg/Ej0NEAAEEEEAAAQRyKkCCl1NBj3ze5nDFxcXpnXfe0fPPPy8ryX/TTTfpxhtvVIkSJTzSSv9ohi1jYfPyXn/9dVcAZ/jw4erUqZNsAXqrtMmwTf84D2glAggggAACCPinAAmef8b9eKstkduzZ4+WLVumJ554QqtXr3Zz7e699163kDbLHxyn8rknX3/9tUaNGiWbm9e8eXNZonfOOee4YbaBgYE+1x4OGAEEEEAAAQQQQCBrARK8rI08u8WBAwe0adMmvfjii65Kpi2Yfeutt+raa6915fY923A/alhCQoJbHH3ixImuGqqtmdevXz9Vq1bNFWEJCAjwIw2aigACCCCAAAIIeF+ABM/7Mf5LCw8dOuQu9m0NNVu03HrwunfvrhEjRrgFs7no/wuZz7+wbt06jR49WrNnz3ZDbocNG6ZLL73UDdu0pS8YtunzIaYBCCCAAAIIIICAEyDB86MTwXpzbH7WV1995RK7n3/+2Q3Zu/POO9WyZUvZhT437wqkpKTo008/1dNPP63ly5e72N98880677zzVLp0aVd9k0TPu/GnZQgggAACCCDgHwIkeB6Psy15YEMx9+7d66pivvbaa1q1apXOOuss2dIHvXr1UkREhMcVaF56AauUOnXqVE2aNMkN0W3WrJn69+8ve7REj4qb6bV4jgACCCCAAAII+JYACZ5vxStbR2s9NTYM09ZG2759u2bNmqUZM2YoNjZWlSpVcnOw+vTpo1KlSjE0L1ui3txo586dLtF78803tWHDBtWsWVNXXXWVOnTooPLlyysyMlJFixblHPFm+GkVAggggAACCHhUgATPI4FNS+qst87m1FkFRUvsFi1a5JY8sPXsevfura5du7oqigzF80jgc6EZv//+u2w+piV6a9ascQldq1at1K1bN9erZ8V3rJfXFlDnvMkFcHaBAAIIIIAAAgjkoQAJXh7i5uWuLaFLSkpyPXU2t86SuqVLl7o5VgsXLnTDMsuWLet6Y3r06KEmTZowxy4vA+KBfdtw3m+++Ubvv/++O4+2bdsmS+5sfmb79u3dYve2JmJ4eLjr2bOlFkj4PBB4moAAAggggAACnhIgwSuk4bQELu1mzxMTE2WLkR8+fNg92nMbcvndd99p8eLFLrmzYZl2AX7xxRe7ha3t0YbZcRGeJsljdgXsB4P58+fr448/dr3AcXFx7lyygiwtWrTQ+eef74Zx2hBOK85jvXv2ePJC6px72RVnOwQQQAABBBBAIHcECizBs6GEdk+fyOROk3xzL3YhbD0o5mGLj6e/W1K3du1axcTEuMdff/1VGzdudIVT7KLaeupat26tdu3aucfixYuT1PnmaVAoj9qGcNpQ388++8w97tixw/3QYD8mVKlSRdWrV1ft2rV19tlnu3l8afP2bLkNO6/tMe1eKBvIQSGAAAIIFKiAjQixW/r/zbDX0v63IygoSIwaKdAQ8eWnELDrdrvbqDq7jk+7fk+7prdHO3dtqov9CJ5ftwJL8N5++2198MEHbohhfjW2MH+PDXuzXpODBw/Khlxab1zac0vw7I+enRhW4bBWrVqyOXV2t6GXVhwjP0+awuzIseWtgPUc25p6Vol15cqV7tH+bT/WWC+z3aw3LywszN0t2bPn9mh3ftDJ2/iwdwQQQMAXBeyHarsQth+t7ULYfqhOf7f3y5Qp466B0kaM2KNd+1gSyA2B/BKw8zRtNJ092t0q1VtRw/j4eHctb/+2uxU7tMcKFSqob9++7sfw/Dpfg/IL5OTvsQtFuyi0ZIabjg9vs+UL7I9aVFTU8T9u9tzK11erVs31mKT1kOCGQH4L2P/41qtXz93/9re/ua+3HyKsR/m3337Trl27jv9xsx8s0v7A2XP7791+2eKGAAIIIIBAegG77tmyZYtsxIj9wG0XzdYjkv5uPxbaqBEbMVK3bl01aNBANWrUcFNT7Mdv+6HcevrsB3FuCOSWgP0wbeejXevYdYwlcjaqzorSpY2ss5oFdn1j519ab7P9+JD247YldWk/gufWcWW1nwLrwcvqwHgfAQQQQAABBBBAwP8E7GLYkj370dCW9LEfEW20yC+//OIuru01u9i2XjxL9tq0aePqD1StWtX9QG4JH8me/503udViS+rshwY7x3bv3u1GK1ldgq+++srVv7AfEayn2ZYes1F0derUcY/WU2c9zXa39/Orty6jdpPgZaTCawgggAACCCCAAAKFTsAuvi3hs2kCVj3cloWy5M96WGwKixWYs5oE6Xv30ub4FbrGcECFSiBtdKENtVy+fLmrPWCV6e3HBqs70KhRI1dkzgrO2TQpe62w9hiT4BWqU4uDQQABBBBAAAEEEMiugM2J+vnnnzV37ly3xI8Nndu/f7+bStCpUye1bdtWlStXdj17Ns2gsF6QZ7e9bJe7AvaDgf04YFNJVq9erdmzZ7vEznqPS5YsqQsuuMD9YGC9xOXKlSvQXrnTaTkJ3ulosS0CCCCAAAIIIIBAoRSwi3VL9ubMmeOW+fnpp59cBcOLLrpI3bt3d4XpbPicDe0syOFzhRLPzw7KfhiwIZhbt27VvHnzNGPGDNn5YnM9bSmorl276pJLLnHDLX3xRwESPD87oWkuAggggAACCCDgdQGbx2dDOKdPn64vvvhCVgjj3HPPddUMW7ZseXwtV1+8ePd67PKyffYjgPXw2jBfq+ZviZ0VTrF5dN26dXN3m8tpczh9+UaC58vR49gRQAABBBBAAAEEMhXYtGmT3n//fU2bNk22lrAlegMGDHDD76xHj6WmMuXzzJs2FNN67N577z29+eabblkD663r06ePm7tpVeu9kvCT4HnmtKUhCCCAAAIIIIAAAqcSiIuL07vvvqs33njDLe1z+eWX6/rrr3fFMyIjI91wzlN9ltd9VyCtKuvnn3+uiRMnav369W4Y5sCBA2W9uVbx0ms3EjyvRZT2IIAAAggggAACCJxSIDY2VpMnT3bJnq21d9111+mqq65y6w2z1vAp2XzuDRuOaevx/vDDD5owYYIWLVokG3558803y5J7L/XYnRwcEryTRfg3AggggAACCCCAgOcFvv32Wz333HOyNc5siYVBgwbpwgsvdIU1fH0OlueDl0UDExIS3LzLt956yw3HtGTPhmL269dPFStW9HyRHRK8LE4Q3kYAAQQQQAABBBDwpoAlAjYnK23o3hVXXOF69OrVq6fw8HDPJwJei6pVx7QlD6y3zpJ3q6pqayMOHTrUVVG1pTL84UaC5w9Rpo0IIIAAAggggAACpxSwqoo2jM+qKhYvXtz15tmC6RUqVKAIyynVCtcblqxv2LBBkyZN0ocffuh6YgcPHixbDzE6OtozBVSyo06Clx0ltkEAAQQQQAABBBDwtEBycrKsEMe4ceO0YsUKdezYUX//+9/VsGFDevMKceQtbrt373axs147m2N55ZVXuiS9Zs2aflk8hwSvEJ+wHBoCCCCAAAIIIIBA/grs3LlTL774omz+lhVdGTJkiNq3b+/WzmNuXv7GIqtvO3TokOu1s97XWbNmufl1w4cP16WXXuqqY3pl2YOsHE5+nwTvZBH+jQACCCCAAAIIIODXAlaUY+7cuXrmmWdcb571CN1www2yuXlU2iz4UyOtQuaCBQtcjGzpg6uvvtr12tWoUcPv506S4BX8OcoRIIAAAggggAACCBRCge3bt7tiHe+8846bjzds2DBXtMPmdAUEBBTCI/b+IdnSFhaXV155xVXItOUObrvtNnXo0EG2nqG/9tqljzwJXnoNniOAAAIIIIAAAgggkE7AKjN+9NFHrqfI5nfZAtk9e/ZUlSpVKMCSzik/nlohlTVr1mj06NFasmSJG4p56623up5Vhs/+GQESvD8teIYAAggggAACCCCAQIYCVnLfEotPP/1Ul112mW666SY1btyYIZsZauX+i7Zo+Zw5czR27FhXVMUqZPbq1ctVy6TX7kRvErwTPfgXAggggAACCCCAAAIZCuzbt08vvPCCXn31VZdYjBgxQhdddJFbWoEhmxmS5fhF60G1wjeTJ0/WG2+84YrdjBw5Um3atFFYWFiO9+/FHZDgeTGqtAkBBBBAAAEEEEAgTwSswIcN2bSepB07dsjm5VkRlrJly/plSf48Qf5jp4mJibICKtZzakVvLrnkEllSXbduXawzgSfBywSHtxBAAAEEEEAAAQQQyEhg5cqVeuyxx9xcsP79+6tfv36qVq2amAuWkdbpv2ZLIJjxo48+qp9++slVMb3++utdsRuGZGbuSYKXuQ/vIoAAAggggAACCCCQocDWrVv1+OOP68MPP1SnTp3cvDxbSiEkJCTD7XkxewIHDhzQl19+qVGjRmnPnj2644471LVrV1nFTJK7rA1J8LI2YgsEEEAAAQQQQAABBDIU2L9/v55++mlNmTJFzZo1c0M2zznnHFd8JcMP8GKmAjbPMa1qqSXK9957r1uagvl2mbKd8CYJ3gkc/AMBBBBAAAEEEEAAgdMTsLliL730kivAUrVqVTdPrEWLFq4ICD1O2be03jorpDJhwgRVrFjRJXfNmzdnOYrsE7otSfBOE4zNEUAAAQQQQAABBBA4WcCKr1hy8swzz7jeu3/+859q27atq7BJkney1on/NjurlGkVSt9++201bNhQd999txo1akQxlROpsvUvErxsMbERAggggAACCCCAAAJZC8yePVtPPPGE4uPjXU9ely5dVLJkSbGMQsZ2tgyCLSA/ZswYmV379u01fPhw1apVC7OMybJ8lQQvSyI2QAABBBBAAAEEEEAg+wLffvutq7D5ww8/yBbkvuaaa1z1x8DAwOzvxA+2tKGtMTExx6uR9unTR//4xz9UqVIliqnkIP4keDnA46MIIIAAAggggAACCGQksG7dOj3yyCOaP3++W0LBllGoXr0688n+wEpISNDy5cvdMghmdcstt6hXr14qXbo0yV1GJ9RpvEaCdxpYbIoAAggggAACCCCAQHYFbCF0G645Y8YMdezYUTfeeKPq16+v0NDQ7O7Ck9tZ5dF58+Y5G3t+1113uWUmIiMjSe5yIeIkeLmAyC4QQAABBBBAAAEEEMhIwNZ0e/bZZ/Xqq6+6oiG33nqrW07BX8v+7927V9OnT9f48eMVERHhKmW2adPGVRzNyI/XTl+ABO/0zfgEAggggAACCCCAAALZFkhKSnIJ3n//+19XVfP22293a7tZguMvFTbTKmVOmjRJU6dOdUVUrFJm06ZNGbaa7TMpexuS4GXPia0QQAABBBBAAAEEEMiRwMyZM/Xkk0/K1nuzZRQ6d+7sFxU2rVLm5s2bNXbsWM2aNUuXXHKJa3+dOnWolJmjMyrjD5PgZezCqwgggAACCCCAAAII5LrAN9984wqL/PTTTxoyZIh69Ojh6QqbaZUyR40aJWv73/72NzcXsXLlyn7Te5nrJ1EWOyTBywKItxFAAAEEEEAAAQQQyE2BtWvXuiTPCo307dtX1113nWrUqOG5oYpWKXPZsmVuGQSrlDl06FCX4FEpMzfPpr/uiwTvrya8ggACCCCAAAIIIIBAngqkVdh8//331bZtWw0aNEgNGzZU0aJF8/R782vn+/bt06effuqGZVqhGSpl5pe8RIKXf9Z8EwIIIIAAAggggAACxwUs8Xn++ef18ssvq2rVqho+fLhatWrlqkv6avGV5ORk7dq1S2+88YasoIr11t1zzz1q3bq1Z5LX4wEspE9I8AppYDgsBBBAAAEEEEAAAe8LWAGSadOmuaUUDh06pGHDhrk188qWLavAwECfArD5dhs3bnRt+d///qfzzz9fVjG0UaNGCgoK8qm2+PLBkuD5cvQ4dgQQQAABBBBAAAFPCHz11Vdu4e+VK1e6eXm9e/d2SwmEhIT4RPtswfLly5dr9OjRWrNmja699lqKqRRQ5EjwCgier0UAAQQQQAABBBBAIL3Apk2b3Jy1Dz74QOeee64rStKsWTMVK1as0C4nYD2Qv//+u2wu4YQJE2Rr/o0YMULdunVTiRIlqJSZPsD59JwEL5+g+RoEEEAAAQQQQAABBLISsMqTU6ZM0cSJE2VDHgcPHqxOnTq5pRSCg4Oz+ni+vm/H+ttvv+m5557TnDlz1KBBA91xxx1q3ry5fKXnMV/B8unLSPDyCZqvQQABBBBAAAEEEEAguwI2ZHPMmDH69ttv1aVLFw0YMED169dXeHh4gfeKWSEVW6x9/vz5br6dzbvr06ePBg4cKNa3y26E8247Ery8s2XPCCCAAAIIIIAAAgicsYAtpWBVNt9++21FR0e73jxbUsEKsBRUb5712m3ZskWTJ0/WjBkz3LHYkMzLLrvMp6t/nnGQCuEHSfAKYVA4JAQQQAABBBBAAAEETMB6yz755BONGzfOFS/p2LGjWxjdevOKFy+eb5U2Dx8+fLzX7oUXXtD69evVtWtXDRkyRLVr18634+CsyFqABC9rI7ZAAAEEEEAAAQQQQKBABTZv3uyKmLz33nuywiY9e/bUVVddperVqysyMjLPliGwpRv27t2rFStW6JVXXtHXX3/thmEOHTpUHTp0cEmmr67ZV6ABzcMvJ8HLQ1x2jQACCCCAAAIIIIBAbgmkpKTom2++cQVYbP5bWFiYrrjiCne3RM+qVtrQzZwmXPY9Bw8edIndsmXL9NZbb2nx4sVuCKYtf9C3b19VqlSp0Fb2zC1vX90PCZ6vRo7jRgABBBBAAAEEEPBLAauuuWjRItejZomX3S6++GJ1795d9erVc71qERERp5Xs2VBQ662zxM6WPViwYIGmT5+u1atXu/l/V155pSukUqNGjTzrLfTLYOZBo0nw8gCVXSKAAAIIIIAAAgggkNcCtubcd99954qwfPHFF4qLi1O1atXUqlUrl/DVqlXr+PDNwMBAl5jZo/XQ2WctqbNHSxgtqbPeui+//NL1ElqVTEvmbBjo1Vdf7YZl2me5FX4BErzCHyOOEAEEEEAAAQQQQACBTAVsPbqPP/7Y3WNiYtzwyqioKFWpUkVlypRR6dKl3d2qcVpCFx8f7xJCe4yNjXV3S/hsmKetY2eJ3UUXXcRi5ZmqF843SfAKZ1w4KgQQQAABBBBAAAEETlvAkjRbl86KoixZskTLly/Xpk2bZMsbWHEWe9/m6AUEBLi7JYF16tRR06ZNXWLXuHFjNyTT3ufmmwIkeL4ZN44aAQQQQAABBBBAAIFsCViP3YEDB1yvnj0GBQW5gilWfdMWTieZyxajz2xEguczoeJAEUAAAQQQQAABBBBAAIHMBeh7zdyHdxFAAAEEEEAAAQQQQAABnxEgwfOZUHGgCCCAAAIIIIAAAggggEDmAiR4mfvwLgIIIIAAAggggAACCCDgMwIkeD4TKg4UAQQQQAABBBBAAAEEEMhcgAQvcx/eRQABBBBAAAEEEEAAAQR8RoAEz2dCxYEigAACCCCAAAIIIIAAApkLkOBl7sO7CCCAAAIIIIAAAggggIDPCJDg+UyoOFAEEEAAAQQQQAABBBBAIHMBErzMfXgXAQQQQAABBBBAAAEEEPAZARI8nwkVB4oAAggggAACCCCAAAIIZC5Agpe5D+8igAACCCCAAAIIIIAAAj4jQILnM6HiQBFAAAEEEEAAAQQQQACBzAVI8DL34V0EEEAAAQQQQAABBBBAwGcESPB8JlQcKAIIIIAAAggggAACCCCQuQAJXuY+vIsAAggggAACCCCAAAII+IwACZ7PhIoDRQABBBBAAAEEEEAAAQQyFyDBy9yHdxFAAAEEEEAAAQQQQAABnxEgwfOZUHGgCCCAAAIIIIAAAggggEDmAiR4mfvwLgIIIIAAAggggAACCCDgMwIkeD4TKg4UAQQQQAABBBBAAAEEEMhc4P8B5ACP8RiiwYkAAAAASUVORK5CYII=" alt></p>
<p style="text-align: left;">Which of the following shows a possible configuration of the pulses at a later time?</p>
<p><img src="data:image/png;base64,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" alt></p>
<p><br> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152"> </div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which graph shows the variation with amplitude <em>A</em> of the intensity <em>I</em> for a wave?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graph shows how the displacement varies with time for an object undergoing simple harmonic motion.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">Which graph shows how the object’s acceleration <em>a</em> varies with time <em>t</em>?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two loudspeakers, L<sub>1</sub> and L<sub>2</sub>, emit identical sound waves.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The waves leaving L<sub>1</sub> and L<sub>2</sub> are in phase and are observed at points P and Q.</p>
<p>The wavelength of the sound is 0.60 m. The distances of points P and Q from the loudspeakers are shown in the diagram.</p>
<p>Which of the following is true about the intensity of the sound at P and the intensity of the sound at Q?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 3">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 3">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p>The graph shows measurements of the height <em>h</em> of sea level at different times<em> t</em> in the Bay of Fundy.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p>Which of the following gives the approximate amplitude and period of the tides?</p>
<img src="data:image/png;base64,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" alt></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">C</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>A wave pulse is travelling along a dense thick rope which is connected to a less dense thin rope.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">Which of the following is correct regarding the reflected and transmitted wave pulses after the wave pulse reaches the connection of the two ropes?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152">This was indeed an unusual question, although perfectly fair as a test of 4.5.1. Most candidates did not realize that a wave, in reflecting off the boundary of a less dense medium, will not undergo any phase change. Hence the pulse will not be inverted – the opposite of what happens if the reflection is off a denser medium.</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which of the following correctly relates the direction of oscillation of the particles in a medium to the direction of energy propagation for transverse and longitudinal waves?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 3">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p>A water wave moves on the surface of a lake. P and Q are two points on the water surface. The wave is traveling towards the right.</p>
<p> </p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p> </p>
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p>The diagram shows the wave at time<em> t = 0</em>. Which graph shows how the displacements of P and Q vary with <em>t</em>?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The speed of a wave in medium X is greater than the speed of the wave in medium Y. Which diagram shows the correct refraction of the wavefronts at the boundary between X and Y?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">There was a very even spread of responses to this question, albeit with a good discrimination index. We can only assume that the candidates did not read the question carefully as it is basic knowledge that a ray bends towards the normal when entering a denser medium. The slowing down of the wavespeed results in a reduction of wavelength as illustrated in B. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Candidates must be taught to illustrate wave behaviour with both wave diagrams and ray diagrams. </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 3">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>Horizontally polarized light of intensity <em>I</em><sub>0</sub> enters a polarizer P whose polarization axis makes an angle of <em>θ</em> degrees with the horizontal. Light from P is then incident on a polarizer A with fixed vertical polarization axis.</p>
<p> </p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>The angle <em>θ</em> is varied from 0 to 90 degrees. Which of the following represents the variation with <em>θ</em> of the intensity <em>I</em> of the light transmitted through A?</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A water wave entering a harbour passes suddenly from deep to shallow water. In deep water, the wave has frequency ƒ<sub>1</sub> and speed <em>v</em><sub>1</sub>. In shallow water, the wave has frequency ƒ<sub>2</sub> and speed <em>v</em><sub>2</sub>.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA04AAAH0CAYAAAAKbn27AAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxppVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+ODQ2PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjUwMDwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgqxvQqSAAA/7klEQVR4Ae3dD5hcdXkv8Nem+5THP20kRVKLQgzQ8Ch5DEqFUqAkxovQQviXCtyqhASkap9H+U9oi2gSEol6K4ohIbR6aXsDBERFS0wCWBTFGG+QKw2sAUzbIA2kBX1y73brPbM7szs72dndJLOTd2Y/+zxhZ2fO/M57Pu8w53znnDnnFb8sfsIPAQIECBAgQIAAAQIECNQV+JW6j3iAAAECBAgQIECAAAECBHoEBCcvBAIECBAgQIAAAQIECAwjIDgNA+RhAgQIECBAgAABAgQICE5eAwQIECBAgAABAgQIEBhGQHAaBsjDBAgQIECAAAECBAgQEJy8BggQIECAAAECBAgQIDCMgOA0DJCHCRAgQIAAAQIECBAgIDh5DRAgQIAAAQIECBAgQGAYAcFpGCAPEyBAgAABAgQIECBAQHDyGiBAgAABAgQIECBAgMAwAoLTMEAeJkCAAAECBAgQIECAgODkNUCAAAECBAgQIECAAIFhBASnYYA8PLYFujcujhMPmRSTi39vvmJ9dA3L0R3b77oopvQ85/A47oo1sWPY55iAAAECBAgQaAUB2wWt0KXRq1FwGj1bI7eBwLg3HhaHd/QuyM4nnop/Hm6ZdqyLT37ygd6A1fG2uODi42P8cM/xOAECBAgQINASArYLWqJNo1ak4DRqtAZuC4HxB8dhB5aT0+anYsuQu5x2RucdK+OebaWJOuKguZfFBZP3awsGC0GAAAECBAgUArYLxvTLQHAa0+238MMKjPutOPR3XtU72c4t0bl1iOS0/b64YckjvXubJp4d11381hg37AxMQIAAAQIECLSMgO2ClmnVaBQqOI2GqjHbSGB8TDr8deXl+Wk8teXndZbt+Vi/+K9iXU+uek1Mu/C9ccJ4sakOlrsJECBAgECLCtguaNHGNaRswakhjAZpX4FfizceenBx4F3pZ2dsf/EXgy5qd+c98bm7n+l97KDzY/6cKfY2DSrlTgIECBAg0MoCtgtauXt7W7vgtLeCnt/mAuPi11/72nII+nlsfupfo3uXJX4+Hlp2e2zs2dt0cJxz/ZyYZmfTLkruIECAAAECrS9gu6D1e7jnSyA47bmdZ44RgY5Jh8ZhPcvaFc9tfmaX04t3b1wZ163q3dvUcdT5Me/EA8aIjMUkQIAAAQJjT8B2wdjreWWJBaeKhN8E6gkcdGhMKZ8cr+ufnoxnq3c5dT8Rt3389tja89zDY86fnx+T7W2qJ+l+AgQIECDQ+gK2C1q/h3u4BILTHsJ52hgS6PjtOPTwcnJ6rjO27Kgkp+7Y8eAX47YfvFRgdMTE2ZfFRdNeOYZgLCoBAgQIEBiDArYLxmDTexdZcBqzrbfgIxd4XUyeUr6MbdeOeOE//qv3qd1Pxp03fTW2lf5ysduRc5qSAAECBAi0tIDtgpZu314ULzjtBZ6njhWBV8Wkw95QXtjKKcm7Y/s9n4oby3ubdvtitzvWxFXHHBEnLt4wyMkmxoqr5SRAgAABAq0o0Kjtgp3x9LrlcdVpU2PyIZN6/x0zN5asXB9PVw5uaUWeNq5ZcGrj5lq0Rgl0xG9PnhS9B+vtiCc6fxbR/cO49dMP7NnFbrs7Y/UV18cd27wrNqpDxiFAgAABAs0TaMR2wc7oXH5BnDxnYdyxqXTIf/ln29pYdv3Fcf4lq4Snikmi34JTomYoJa9A/xl0uuPFF3bE8/csi5VbS+cfHx/TL/9QnDTSi93u2BArLnp/XH5/7+kk8i6xyggQIECAAIF6Anu9XbD9vrhhySPRNXFGfHDlutj89Jbo7Pn3/Vh1yVti+/2fjy88+Hy92bt/HwkITvsI3mxbTKDvDDpd8W8/Kz4NKu9t6jjqT+OqWa8fwcJsj413LY55J58bi9ZGnDDjzeWL6o7gqSYhQIAAAQIEcgns1XZBcbj/A9+Ib3WVPny9Pj46fVL5epGlRZwQb33XO+LA+Jf4zqPPOpw/V9dDcErWEOUkFag6g87Ou26J23r2Nh0csz40a2SnH+9+OtZ8+tb41uvOjhvuXh03njKSsJXUQlkECBAgQGCsC+zVdsG4mHDWLfHE0xtj+Vn1tgcGv3bkWGff18svOO3rDph/iwhUnUGnXHHHjD+Ly6eP8GK34w6JmdffGY/cuzDOmbZ/iyyzMgkQIECAAIHBBfZyu2DwQYt7i0ud/KQzniu+CnD8KccU+5/8ZBIQnDJ1Qy2JBarPoFOU2XFMXHbNKbvxhjYhpk2fWrwN+iFAgAABAgRaX2BvtwvqCBSXOrn79uK7Tx1Hx7v/4MA6E7l7Xwn86r6asfkSaC2Bjjhk3qronNdaVauWAAECBAgQGA2B0dgu2B4bbrymuNTJb8TMpVfG6RPGjUbhxtwLAcFpL/A8lQABAgQIECBAgMDeCxShafG8OP/mp2LKJcvihrMmV50wYu9HN0JjBByq1xhHoxAgQIAAAQIECBDYA4GBoemvrzzWof17oNiMpwhOzVA2DwIECBAgQIAAAQK1AqXrO144K2bf/HwcP/+2EJpqgXL97VC9XP1QDQECBAgQIECAwBgQ6N6yKj547rWxZvsR8Z7ln4nrZ1Zfz2kMALTgIgpOLdg0JRMgQIAAAQIECLSwwI41Mb8Umra9Ps5ZuSIWjPTyJi28yO1QuuDUDl20DAQIECBAgAABAi0i0B3b194R92zrKup9Ju6Y87txx2CVH/SBuPPBK2Oak+sNprNP7vMdp33CbqYECBAgQIAAAQJjU+C5ePC+R6MUm/y0lsArfln8tFbJqiVAgAABAgQIECBAgEBzBexxaq63uREgQIAAAQIECBAg0IICglMLNk3JBAgQIECAAAECBAg0V0Bwaq63uREgQIAAAQIECBAg0IICglMLNk3JBAgQIECAAAECBAg0V0Bwaq63uREgQIAAAQIECBAg0IICglMLNk3JBAgQIECAAAECBAg0V0Bwaq63uREgQIAAAQIECBAg0IICglMLNk3JBNpZ4OWXX27nxbNsBAgQIECAwG4IZNouEJx2o3EmJUBg9AWWfvLGmDljRtz3tftGf2bmQIAAAQIECKQWyLRdIDilfqkojsDYE5hehKbSz4c/+EEBauy13xITIECAAIEBApm2C17xy+JnQHX+IECAQAKB0h6nT39qafyk8yfxpslvio989NI45dRTElSmBAIECBAgQKDZAhm2CwSnZnfd/AgQ2C2BDG+Uu1WwiQkQIECAAIFRE9iX2wWC06i11cAECDRSYF++UTZyOYxFgAABAgQI7L3AvtguEJz2vm9GIECgiQL74o2yiYtnVgQIECBAgMBuCDRzu0Bw2o3GZJ508iGTMpenNgJNEeh8ektT5mMmBAgQyC5guyB7h9TXDIFGbxc4q14zumYeBAgQIECAAAECBAi0tIA9Ti3dPsUTGHsCzdwlP/Z0LTEBAgQIEGgtgWZuF/xqa9GolgCBsSpQ+8b42c99zunJx+qLwXITIECAwJgX2BfbBYLTmH/ZASCQW2BfvDHmFlEdAQIECBAYuwL7crtAcBq7rztLTiC1wL58Y0wNozgCBAgQIDAGBTJsFwhOY/CFZ5EJZBb41kPfius/dl38pPMn8abJbwqH5GXultoIECBAgMDoCmTaLhCcRrfXRidAYDcF1q1d2/MMgWk34UxOgAABAgTaUCDTdoGz6rXhC8wiEWhlgZdffjle/epXt/IiqJ0AAQIECBBokECm7QLBqUFNNQwBAgQIECBAgAABAu0r4AK47dtbS0aAAAECBAgQIECAQIMEBKcGQRqGAAECBAgQIECAAIH2FRCc2re3lowAAQIECBAgQIAAgQYJCE4NgjQMAQIECBAgQIAAAQLtKyA4tW9vLRkBAgQIECBAgAABAg0SEJwaBGkYAgQIECBAgAABAgTaV0Bwat/eWjICBAgQIECAAAECBBokIDg1CNIwBAgQIECAAAECBAi0r4Dg1L69tWQECBAgQIAAAQIECDRIQHBqEKRhCBAgQIAAAQIECBBoXwHBqX17a8kIECBAgAABAgQIEGiQgODUIEjDECBAgAABAgQIECDQvgKCU/v21pIRIECAAAECBAgQINAgAcGpQZCGIUCAAAECBAgQIECgfQUEp/btrSUjQIAAAQIECBAgQKBBAoJTgyANQ4AAAQIECBAgQIBA+woITu3bW0tGgAABAgQIECBAgECDBASnBkEahgABAgQIECBAgACB9hUQnNq3t5aMAAECBAgQIECAAIEGCQhODYI0DAECBAgQIECAAAEC7SsgOLVvby0ZAQIECBAgQIAAAQINEhCcGgRpGAIECBAgQIAAAQIE2lcgZXCafMikKP3z0/oCetn6PaxeAv9fVmu09m3/b7Z2/1RPoFECY+F9fay8342F5dzXy5gyODXqzcA4BAg0TmAsrFwbp2UkAgQI5Bfwvp6/RyrMJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCUgOOXqh2oIECBAgAABAgQIEEgoIDglbIqSCBAgQIAAAQIECBDIJSA45eqHaggQIECAAAECBAgQSCggOCVsipIIECBAgAABAgQIEMglIDjl6odqCBAgQIAAAQIECBBIKCA4JWyKkggQIECAAAECBAgQyCXwil8WP7lKUg0BAgQIECBAgAABAgRyCdjjlKsfqiFAgAABAgQIECBAIKGA4JSwKUoiQIAAAQIECBAgQCCXgOCUqx+qIUCAAAECBAgQIEAgoYDglLApSiJAgAABAgQIECBAIJeA4JSrH6ohQIAAAQIECBAgQCChgOCUsClKIkCAAAECBAgQIEAgl4DglKsfqiFAgAABAgQIECBAIKGA4JSwKUoiQIAAAQIECBAgQCCXgOCUqx+qIUCAAAECBAgQIEAgoYDglLApSiJAgAABAgQIECBAIJeA4JSrH6ohQIAAAQIECBAgQCChgOCUsClKIkCAAAECBAgQIEAgl4DglKsfqiFAgAABAgQIECBAIKGA4JSwKUoiQIAAAQIECBAgQCCXgOCUqx+qIUCAAAECBAgQIEAgoYDglLApSiJAgAABAgQIECBAIJeA4JSrH0mr6Yqnl8+OyYdMKv4dEbOWb05ap7IIECBAgACBvRPYHCtOO6K8zj82rlq3Y++Ga8izq2uaHSu2dNWMOtzjNZP7k8AeCghOewjnaQRaX2B7bFx1Tcw6c3k83foLYwkIECBAgACBlALts70hOKV8gSmKwCgL7PhOLDntpDj7ir+Lx/5zlOdleAIECBAgQGBsCrTZ9obgNDZfxpZ6rAu8+KP49qaXxrqC5SdAgAABAgRGU6DNtjcEp9F8sRibAAECBAgQIECAAIG2EBCc2qKNFoIAAQIECBAgQIAAgdEUEJxGU9fYBAgQIECAAAECBAi0hYDg1BZt3NuF2BlPr/ufseyK02NKzynHS6cdnxqzrlge67fs3P3Bd2yM1cs/G1edNrV8OtPSeJNiymlXxrKV6+Pp7hEOuVfjVJ2adMqVsb7nzKWl5VxeU9fxMW/xF/dsOUuLsX11zDusd/kmH3ZRrN4+xMJ1b4glv394YTHcKd1/ERsX/7ey3bSYd9e/1IAVZ6e567ZYsXhuHNfXr3INPX37bKyo49y17sp4c+k5Jy2MxyqjbloYMyrjnFbnDHuN6kXP+N2xY+PfD+hD6bWxYt2WGEKvUq3fBAgQIDCsQO96fdf1xOFx3IWL6q4j6g9bet++p2Y7obxev2tjDH/C8j1fb9Wvac8e6d6yPm5bvijmHVNaH1fWneVlWX5PbNwxyJpon6zra5Zvn9Sw531r1+0NwanmdTnm/tyxIVZcODNmzPnzWLJqU/RfGeGleGzVwpj7rvNiyYbtI2Qp3qjXfCxmHX1mXL7gU3FHzckHujatiiXXz4kZx10UKzYONWajxqkue3tsWHxenDxnYU1dW2PdzX8Zc0+aGfOWbxjBm3/1mMXtCcfEu08Y33tn12Pxvf9d/4QL3Zu+GV/bWhLeGU888qOoK9D941jzlS29Y3YcHe/+gwN7bxexYsfG5cWb/bFx9qXXx6Kb18a28iP9v0p9+1Qs6nH+cKzek+DbP1hxq/G96O5cGXNnXz2gD12b7o/vvvhrMW7AvP1BgAABArstULVe33U90RXb1t7Su46YcuYI1+/FxvPyS+LUMz5Ss50Q0bNev/TMOOa0pbFhsMCxT9ZbdcS6t8Q3rzk93nzSnPjEglti3bb+LZ7SM3qWZcFH4uxiG2b+mpoP8pq6rq9Tf1NrsL1RpwshONWTGQv3dz8RK+ZcEIvWbq2/tF0bY9l7/jS+8MQv6k/T88jO6Fx+QZw876/jsYHvRbs+b9uaWDR7Xp037EaNUz3bX0TnndfFn928sSoYVj9eul0EqAUXxPsXf2c3w9Pr4/QPvScO6hlue3zn0c46e01+EZvuX1fMpfen66FvxIN19k71B6yIjhNOjhMn9MaJ3sCxcJc3+/KQu/7a9tW4/E/+R2wc5MOzXSce7J5R6EX3w3HD+z4ZG2tfIwMC4mC1uI8AAQIEhhd4PtYvvHTo9XplkJ71+4diRedQR5b8PB7/zMVx7oI1g3xQVxmoFDpuivPnrIzOmvVN89db/TUNuNXdGasveW9c/LfVHxAPmKL/j65N8ffzTo8/Xv5E1fq8eev6/kJqbzWvhub3rXW2NwSn2tflmPm7eJGu/Fjc+IPKHpLXxJGzr4kV638cnU9vKf49FRvuXhoXzygiQfHmesddjw8hU3wyse76eO+CR8rBpCMmzrgorl25Ljb3jFUa78extphfz3ilkUpv2B9cGusHfELVqHFqSu3+btz2qX8o3vRrl7FU0zVxztTXlJ9Q7K25+bq4ZeNwIXHg+OOmvjNOPaijtFCx9SvfjE01K47eqbfGhoef7X9i16Px9Qee6/+771Z1wBofx59yTEzoeexf4ssLP98XODqmzo4rlq6ODX2+JeMtsXn9yrj2khkxsTLe1nWxZlP/8nRMXxyPl56z/po4sjLN1GtibWWce+fFIT33j1IvHn8w1hV73Tqmvj+W9b3Wij6s+mhMLwfESll+EyBAgMDuCXRvXBnXrXqm90kdU+Oc+StjbWfv+qF33f79uHPpB2L6xNI6q/jp2hBfuvPxqoDQe3f/f1+K/7Ops1i71a4/S9sIi6rWn8VQP7gz7qpa30Q0Zr3VX8ue3ipt71wb19xf+eiy+FCyWIdeXb2N0rkuVvzFRf0u8VJsXPCBmL/u+b6ZNmdd3ze7QW80p4bG9K1dtzcEp0FfmmPgzh3fiuW3bigHndfEtPmr4q4l8+KkSfuVF35cjJ92Zlxx6+pYMfvgoUG6n4w7b/pq+dOo0lj3xkO3Xh0XTJ9UdejVfnHI9PcW490Tqy6ZFj1v2dvujOuW/bD/DbtR49RW2/V8bHt+vzjykmXx1wOWsVTTvLjhi8vi4r7wtDlW3vSN+ofR1Y5d+nvcETHzjyb1PlITVPom3/6j+O6Pi0/1OibHkW8uBbUd8e3v/lPZv2+qiOrD9Ca+O86bUT5Mb/sj8fWHykeRTzw3bv7iwrj4rGlRPkiwb4Bxk06KC65cFJ/o69nP4smfDH/0ed8AlRuj1YvS+B0zY+Ft18Y7+15rRR+mTdllWSql+E2AAAECIxHoip9+f0P5yIaOOGjuX8SCeSfFIQOOgZ4Q0866Mr5w++UxrWdFPNQHfpV5HhQzl949yDbCe4r159I4pxLComZ90+z1VqXc2t/b74sbllR9sPuuxfGNuxfH3OptlHGT4qQ5V8fyb/xN1fbAM3HPTff070Vrxrq+tvbav5tRQ7P71mLbG4JT7YtyjPzd9YNvxlfKx/d2HPXhWDxnSlXIqUY4IE66Zn7VG2P1Y723uzd9Ob5U3nPVMeO6WDav3lil6SfE2y6bH3MG2UPTqHF2rbDYVi+Wcellxw6+cT7+2Lj00x8ur0SKT82GOIxusLEjXhlT3zW9fLjelvja/T/uD4M9T+iO7Q98I75VHJ7WccLc+PNZU3ru3fnt78WPavZO9R+mV6z0zjgrThhfXuNNODOWP1n+1PCRhXFS5f5BCxofkw57XfmRnfH8Cy8POtVQd45mL/Y749z4I3uXhuL3GAECBPZa4D87O+OnNeuYyqDjJs+LOyvrlH+8MqYNCFeVqXp/d8z4SCw4a/Lg2wjjj4s/PqP8wWH8PDY/9a/9678mr7cGVl35q3/923PPxLPjE0vOqgmTlWmL37XbAwP2ojVhXV9VyuA3m1BDk/vWatsbgtPgr8w2v/cX8aNHf1h87b/0UxwOdv6pMXmIN80Y8MZYS1Mc0vWTzug96Kz60LLa6ar+Hjc5jv693gPQYuuG2PBs6QsvjRqnaj59N4dfxnGTT43z+k7y8Ew89ez/7Xv2SG4Mvfv8uXjwvkeLvUsdceDhh8XUt7+tN2Ttsneq+jC9SXHqu44YfEU1aEHlMygtX16c9ejsOHnBo4NONbI7R7cXv/eO3+nd4ziyYkxFgAABAiMS6Ig3VNYvxRpn2/1XFidjmhtLivVCvTOtDj/scOv1jnjt/r9RHqYr/m37f8R/DT9oeYpGrrfqzfSl2PTdx8pHd9R8IFnnKQO2B2r2ou37dX1xkMuQXw+wvdHf1vExGtsbv9o/A7fGjsCO2LL5Z+XFfV0c9qbaA75qJV4Zbzn6rbHfzZvLYav68eo3pR2x7tLjYvKl1Y8Pd/un8dSWn0cUH1j1v7ntzTiDLcth8Y6jDhimkGIvzeHFXpq1pcPayocbTHvlMM+peri8+3xZYRQ9gajYg1V5ft9u78N7wlDHG5+Jw4tDJLZ29e6dunTa23oDUvVhegdNj5lT68y/dGrwO74fL3Q/FV9dumr4k3FUlTmym43q6WC92C8mvLbOco2sOFMRIECAQB2BcVNPjz856vZYVPn+8ra1sWzB2p6pF11f/Jo4Iy6+8Lg49O2nxZnTyh9g1hmr9+4GvWeP+nqr3kL8LDqfKK3XSz8T4tij6+w5652g/N8D4qhjDiu2B0ofQFb2or2+dz3dzHX9gJqq/mhmDaPet9bb3rDHqeq1OHZuvhwvPF85i85vxP7jew50HnLxf+W1+8dvDjnFnj64M7a/2H/ygj0dpXTa7Lrj7Fdcp6Hn0MChRq/+1GxPDm8rdp+ffXb5cL+Bh+t1P/tkbC7tVKuEob5TinbFc5uf6TuL34DD9P7onTF1l72ApVPCXhTHvbV0uveFseiG0QhNQxmN9LEhejHSIUxHgAABArsvMG5KzF1Z/b3dmiF6gtT1cfkZb4/JxxR7o0Z0DaaaMXbrz0zrrTfEoZNetVvVl076NHAvWjPW9cOV2IwaMvVtKI/mb28ITkP1w2N9AuPG7x+v7furkTf2JKQMNv9GjTPY2CO7r3/3fvWXbSuH3xWHCPSFoQPjxFOO7jlcrf/7VJXpSvMa7DC90nWo5g1xStiDYvolV8XV868pzmb4D3H//KNHVvSoTLXvezEqi2VQAgQItIJA8T2dK+79XnHW2I/HFbOn1j80uhSiLv3jOPWKNX0f4DV28VppvTXyJR/ddf3I6hjdGlqpb83f3nCo3sheo2021atj/wNKZ88r7XX693hhR2l3yNB7nbq2PBVPDqswMc5Z+fW4Yfpgh2gN9+TKrvTSdHszziDz6X4xXvyP4huyQ56QoCtefOHfy0/eLw7Y/9WDDDTcXeVAtHZNdJW/uzXtjZWL2b4qDj/0t8rfWSrOWPimyXFgrCkO1+s9LfmZs/61/6K3lT1TVbPr3rgiPtp3HarSaWHnxR++4/fj7EHOrFf6hOzpzqon79XNBvdir2rxZAIECBAYmUDprLH/PS4u/VtS+i7RnfHNzhfjqa8sH3Dx8dL6YtuqBXHDyW8t1t3DHdI+sjlXptp3661KBbW/K18NGG4bpXp7oCN+c8Kv11z0dPTW9bUV1/979GrYd31rje0Ne5zqvyrb+JHy93l6lrDm9KGDLnVX/HNxHYjKwX0DJ3lVcQa3N5TvGuoCsAOftetfjRpn15GjayQne6i+ztJIvvc1yHyKWDThD06O43sy6JPx3R8U13949gfx7eK6RVFzgdf+L3eWj5/e8Uw8+VwpwBanc3/f6TWH6VXvjSqukTV7aXFa9Q/H3EFDU6mu6jf9weoc7r5R7MVws/Y4AQIECDRYoDdEzZ334bjh3k3FNf9qruVUXG/pO48+2382vIbMvdnrrXpFvy4mT6kEpZFuo1R/D7z6Q8/KPEZrXV8ZfyS/R6uGZvet9bY3BKeRvD7bbprq01kWJ2L49JdiY7FDpu5P96ZY9Tc/rPPwwLP4bL37rnhowEVt6zxtl7sbNc4uAxd3bIkv/93DQx6K0L3x7vjSpnI0HGSPz2CjDnpf3/eXStdpejy2/eDReKKYsOOEk+PE6j1efddiKB3Wd3+sX9t7uvLoOCbOO/Ow8p6pyhz+X+wozlTU+zMhjj/56MFPq16ZfMfD8b/u3lL5aw9+j2Yv9qAcTyFAgACBEQhsjhWnHRGTDym+13vYRbF6e70Ve++1nD6/8IzovXJj7fd4RjCrYSdp9nqrXkGvianvOLJ8TE2xvh3BNkp359fibyvXTYw6H6SOyrq+3jLUuX9Uamh231pve0NwqvN6bPe7+/d4FEu69fb42I3fqRMsimNdb1wQK0t7Ter8DBiruKjttVfcFU/Xe78ujbFjTVx1zOHlN/dzY0Vnb2Bp1Di7llk+FKHqCuADptnxnVj6l7f3XzSw77tIA6Ya4R/931/a+e274zP3lk5Dvl9MOeYtxfl8qn+qwutza+Omv+m9ON8uAav6KT23fx5PdW6r/8lgsSxL3ntp3FG+RtcuTx/hHaPXixEWYDICBAgQ2E2Bg+Jtx72x9zldD8TSxevqrNdLk+yMZzsre5kGOxxtN2c95OTNWW8NXkL1npliiuG2UUrbAx/5bGwsb/J0HHV2nDXoGW5He10/+NIMvHe0a2hO31pte0NwGvgqHDt/jXtrXHT92cW3iUo/L8VjN78vTr1wcazeuL1sUFzLZ+PqWHLhrJjd992a8kO1vwaM1XvtiJPPuDKW1Z6tp3Ray+WLYt7JHyxv2BeHnZ0xJ86e3PuZVzRqnNr6ev5+Ju6Yc2bMW7w6NvbtESvOGnPX4qKe98WyTS/1Pqu4ON51F7+1Zo/PoAPWubPqTXrr1+OOB0vf3Xpj/N7bD9pl+nFv+d04trToXZ3x2OOl+de7Xkb1J2YvxcYF8+IDN64ZGE5Ltl+4MmYdfV7/svTMcWc8+eQ/F+FtiJ8fryuOfS/vbatMNqq9qMzEbwIECBBonED12dZKHxh+sFivL4rb1m0Z8GFb95b1cdviD8V7F/R+YDf4CYn2tqpRXm/tTnkTTomrrjimb69T6fpWpW2UFdUu3Vti/crS9knV9kAcHLM+NKvOdS5HY12/OwtVmnY0ahjlvrXB9oaTQ+zu67Rtpi9OUDD9I/GJ2d+OuaueKZaqeJNd+4W4vPRvl2U8OE6f/Yb4h1X/WOd7TqWxLo2/uuSJOL8csro2rYoll5b+7TJY/x2lK3hfM73qsLNGjdM/i95bE+PIqRGPbdoa626+tOdf7RS9fx8c5yz8SJw0fpfzgA8+eb17Jxwf551xcKzrcS0mqnfoX8fvxO8eNz7u6Ll2VDFdzfeg+ocv3hxnnBOzJj5QDpzFctx0UfGvf4qhbnVvfzFKB/oN2OP16xPigNJ3sUqJquuRWDTjiFhUGmTqNbH23nlxSPGG3Jielgb1Q4AAAQLNEBg3+cy4eu7Xy+vi0nr9lvhE6V/dmRcnG7rkurioct3ButPt7gOjsN7a3RL6pt8vJs/5RCx89P1x+f1be+4tbaMsmlP865um9kbJZVFcNdQJMxq+rq+tYQR/N7yGUehbm21v2OM0gtdl+05yQJy06LZYdt4QpyuNg2Lm0ltj4cmvH4ZhQrztyuXxd/NnlvdiDTV5sadpxjVx5zc+PkhIadQ41fN/Q/zhxz4VV8/Yda9P31QTZ8bVxbHPjTmr0AFxwrnvLuRKP9WnIe+bW/lG/272nilrvwdVPfn46XHV5y6OI4c++WHxjJLtnxVXif9oHFl+ftc/PRnP1h46WX6zrZ5Fz+3NT8WWvt1To9GLXeboDgIECBBomEDxvn3Z0rhpyPV6ZWZFODjvhvjMZcdWfYBZeawBvxu93tqbksZNjjNv/uIw2zvlGXRMjfcs/3LcdeVwLqOwrt/tZRyFGhrdtzbb3hCcdvtF2mZPGDcp3rlwdTxy96fj6ktmVIWe0gb4B+KTd98TXzhrJFfaLrkUXzidd0s8/MPV8cn5H41zpr6mBqv3WkOl6ww9dOu8mFZ3z06jxqma/fi3x9xb74k7l34gpk/sTx8dU2fHFX+xMtY+fEvMHdFV1KvGHOJm/zG7g52Rp/LEqt3sdQ/T6592/NsujXseLdleNGAZeqYoXQ1+/sdjxfpN8fCtxV6zE2fGHx5V9t+6LtZsqr3IcG9oXjF/9sAwVjl1e2W2Detp34BuECBAgMBoClSv16+qeY8vzbdvffG9uGfhKXHIXh5kUX9RiiMXGrreqj+nET3S4/LleHz9yrh2l/VoaZvnori6tD3wxJdjwcxJIzpkv/Hr+hEtyYCJGl9Do/vWXtsbr/hl8TOgA/4g0BYCpbMLnR6Les6Ud3Rcvf72mDupPzC1xSJaCAIECBAgQIAAgaYJ2OPUNGozIkCAAAECBAgQIECgVQUEp1btnLoJECBAgAABAgQIEGiagODUNGozIkCAAAECBAgQIECgVQUEp1btnLoJECBAgAABAgQIEGiagODUNGozIkCAAAECBAgQIECgVQUEp1btnLoJECBAgAABAgQIEGiagNORN43ajAgQIECAAAECBAgQaFUBe5xatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYVEJxatXPqJkCAAAECBAgQIECgaQKCU9OozYgAAQIECBAgQIAAgVYV+P+pKp6nxj4C1wAAAABJRU5ErkJggg==" alt></p>
<p>Which of the following compares the frequencies and speeds of the wave between deep water and shallow water?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram shows, at a particular instant in time, part of a rope along which a wave is travelling.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The wave is travelling from left to right.</p>
<p>Which arrow shows the direction of motion of the rope at the point shown?</p>
<p>A. W</p>
<p>B. X</p>
<p>C. Y</p>
<p>D. Z</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A body undergoes simple harmonic motion. Which graph correctly shows the variation with displacement <em>x</em> of the velocity <em>v</em> of the body?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Sinusoidal graphs are only generated in SHM when time is on the x-axis. Hence B and C are incorrect. D should be well-known to the candidates as the definition of SHM, but can be ruled out as it shows zero v when x = 0. Hence, by elimination, it must be A. </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br><hr><br>