File "markscheme-SL-paper3.html"
Path: /IB QUESTIONBANKS/4 Fourth Edition - PAPER/HTML/Physics/Topic 7 HTML/markscheme-SL-paper3html
File size: 939.48 KB
MIME-type: application/octet-stream
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 3</h2><div class="specification">
<p class="p1">This question is about leptons and mesons.</p>
</div>
<div class="specification">
<p class="p1">Leptons are a class of elementary particles and each lepton has its own antiparticle. State what is meant by an</p>
</div>
<div class="specification">
<p class="p1">Unlike leptons, the \({\pi ^ + }\) meson is not an elementary particle. State the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>elementary particle.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>antiparticle of a lepton.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The electron is a lepton and its antiparticle is the positron. The following reaction can take place between an electron and positron.</p>
<p>\[{e^ - } + {e^ + } \to \gamma + \gamma \]</p>
<p class="p1">Sketch the Feynman diagram for this reaction and identify on your diagram any virtual particles.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>quark structure of the \({\pi ^ + }\) meson.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>reason why the following reaction does not occur.</p>
<p class="p1">\[{p^ + } + {p^ + } \to {p^ + } + {\pi ^ + }\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) a particle that cannot be made from any smaller constituents/particles;</p>
<p class="p1">(ii) has <span style="text-decoration: underline;">the same rest mass</span> (and spin) as the lepton but opposite charge (and opposite lepton number);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2016-11-10_om_18.05.18.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/D2.b/M"></p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for each correct section of the diagram.</em></p>
<p class="p1">\({e^ - }\) correct direction \(\gamma \);</p>
<p class="p1">\({e^ + }\) correct direction and \(\gamma \);</p>
<p class="p1">virtual electron/positron;</p>
<p class="p1"><em>Accept all three time orderings.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({\rm{u\bar d}}\) / up and anti-down;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>baryon number is not conserved / quarks are not conserved;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Part (a) was often correct.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The Feynman diagrams rarely showed the virtual particle.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>A significant number of candidates had a good understanding of quark structure.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about fundamental interactions.</p>
</div>
<div class="specification">
<p class="p1">The kaon \(({{\text{K}}^ + } = {\rm{u\bar s)}}\) decays into an antimuon and a neutrino as shown by the Feynman diagram.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.56.53.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/11.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the virtual particle in this Feynman diagram must be a weak interaction exchange particle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A student claims that the \({{\text{K}}^ + }\) is produced in neutron decays according to the reaction \({\text{n}} \to {{\text{K}}^ + } + {{\text{e}}^ - }\). State <strong>one </strong>reason why this claim is false.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">the decay does not conserve strangeness;</p>
<p class="p1">and only the weak interaction violates strangeness conservation;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">a neutrino is produced in this decay;</p>
<p class="p1">neutrinos interact only via the weak interaction;</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">does not conserve baryon/quark/lepton number;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about interactions and quarks.</p>
</div>
<div class="specification">
<p class="p1">For the lambda baryon \({\Lambda ^0}\), a student proposes a possible decay of \({\Lambda ^0}\) as shown.</p>
<p class="p1">\[{\Lambda ^0} \to p + {K^ - }\]</p>
<p class="p1">The quark content of the \({K^ - }\) meson is \({\rm{\bar us}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A lambda baryon \({\Lambda ^0}\) is composed of the three quarks uds. Show that the charge is 0 and the strangeness is \( - 1\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss, with reference to strangeness and baryon number, why this proposal is feasible.</p>
<p class="p2"> </p>
<p class="p1">Strangeness:</p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p1">Baryon number:</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Another interaction is</p>
<p class="p1">\[{\Lambda ^0} \to p + {\pi ^ - }\]</p>
<p class="p1">In this interaction strangeness is found <strong>not </strong>to be conserved. Deduce the nature of this interaction.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\( + \frac{2}{3} - \frac{1}{3} - \frac{1}{3} = 0\) for charge;</p>
<p class="p1">any particle containing a strange quark has strangeness of \( - 1\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><em>strangeness</em>:</p>
<p class="p1">the \(p\) has a strangeness of 0;</p>
<p class="p1">the \({K^ - }\) particle has a strangeness of \( - 1\);</p>
<p class="p1"><em>baryon number</em>:</p>
<p class="p1">lambda and protons are baryons each having a baryon number of \( + 1\);</p>
<p class="p1">the \({K^ - }\) meson has a baryon number of 0;</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">only during the weak interaction strangeness is not conserved (therefore it is a weak interaction);</p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well answered question, often very clearly and straightforward; some, even better candidates made mistakes in calculation in (b)(iii). SL candidates showed more difficulty with (b)(iii), often using an incorrect approach.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well answered question, often very clearly and straightforward; some, even better candidates made mistakes in calculation in (b)(iii). SL candidates showed more difficulty with (b)(iii), often using an incorrect approach.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well answered question, often very clearly and straightforward; some, even better candidates made mistakes in calculation in (b)(iii). SL candidates showed more difficulty with (b)(iii), often using an incorrect approach.</p>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">Meteorites contain a small proportion of radioactive aluminium-26 \(\left( {_{{\text{13}}}^{{\text{26}}}{\text{Al}}} \right)\) in the rock.</p>
<p class="p1">The amount of \(_{{\text{13}}}^{{\text{26}}}{\text{Al}}\) is constant while the meteorite is in space due to bombardment with cosmic rays.</p>
</div>
<div class="specification">
<p class="p1">After reaching Earth, the number of radioactive decays per unit time in a meteorite sample begins to diminish with time. The half-life of aluminium-26 is \(7.2 \times {10^5}\) years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Aluminium-26 decays into an isotope of magnesium (Mg) by \({\beta ^ + }\) decay.</p>
<p class="p1">\[_{{\text{13}}}^{{\text{26}}}{\text{Al}} \to _{\text{Y}}^{\text{X}}{\text{Mg}} + {\beta ^ + } + {\text{Z}}\]</p>
<p class="p1">Identify X, Y and Z in this nuclear decay process.</p>
<p class="p2"> </p>
<p class="p1">X:</p>
<p class="p1">Y:</p>
<p class="p1">Z:</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the beta particles emitted from the aluminium-26 have a continuous range of energies.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by half-life.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A meteorite which has just fallen to Earth has an activity of 36.8 Bq. A second meteorite of the same mass, which arrived some time ago, has an activity of 11.2 Bq. Determine, in years, the time since the second meteorite arrived on Earth.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><em>X</em>: 26 and <em>Y</em>: 12; <em>(both needed for </em><strong><em>[1]</em></strong><em>)</em></p>
<p class="p1"><em>Z</em>: <em>v</em>/neutrino;</p>
<p class="p1"><em>Do not allow the antineutrino.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">total energy released is fixed;</p>
<p class="p1">neutrino carries some of this energy;</p>
<p class="p1">(leaving the beta particle with a range of energies)</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the time taken for half the radioactive nuclides to decay / the time taken for the activity to decrease to half its initial value;</p>
<p class="p1"><em>Do not allow reference to change in weight.</em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \left( {\frac{{\ln 2}}{{7.2 \times {{10}^5}}} = } \right){\text{ }}9.63 \times {10^{ - 7}}\);</p>
<p>\(11.2 = 36.8{e^{ - (9.63 \times {{10}^{ - 7}})t}}\);</p>
<p>\(t = 1.24 \times {10^6}{\text{ (yr)}}\);</p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about fundamental interactions and elementary particles.</p>
</div>
<div class="specification">
<p class="p1">The Feynman diagram represents the decay of a \({\pi ^ + }\) meson into an anti-muon and a muon neutrino.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the type of fundamental interactions associated with the exchange particles in the table.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-09-04_om_15.45.49.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/13.a.i"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State why \({\pi ^ + }\) mesons are <strong>not </strong>considered to be elementary particles.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the exchange particle associated with this decay.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Deduce that this decay conserves baryon number.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">electromagnetic;</p>
<p class="p1">strong;</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">they are composed of more than one quark;</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({W^ + }\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">u has a baryon number of \(\frac{1}{3}\) and <span class="s1">\({\rm{\bar d}}\) </span>has a baryon number of <span class="s1">\( - \frac{1}{3}\) </span><span class="s2">;</span></p>
<p class="p1">\({\mu ^ + }\) and \({v_\mu }\) both have a baryon number of 0;</p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(i) was well answered.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(ii) was well answered.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most answers to (b)(ii) used quark baryon numbers of 1 etc, not \(\frac{1}{3}\).</p>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about atomic spectra.</p>
</div>
<div class="specification">
<p class="p1">The diagram shows some of the energy levels of a hydrogen atom.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.45.15.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/05.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain how atomic line spectra provide evidence for the existence of discrete electron energy levels in atoms.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the wavelength of the photon that will be emitted when an electron moves from the –3.40 eV energy level to the –13.6 eV energy level.</p>
<p class="p1">(ii) State and explain if it is possible for a hydrogen atom in the ground state to absorb a photon with an energy of 12.5 eV.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">each line represents a single frequency/wavelength;</p>
<p class="p1">which corresponds to a specific photon energy / \(E = hf\);</p>
<p class="p1">energy of photon determined by energy change of electrons;</p>
<p class="p1">electrons transition between energy levels (so discrete energy levels);</p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for reverse argument that discrete energy levels produce line spectra.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\Delta E = [13.6 - 3.40] \times 1.60 \times {10^{ - 19}}{\text{ (}} = 1.63 \times {10^{ - 18}}{\text{ J)}}\);</p>
<p>\(E = \frac{{hc}}{\lambda }\); <em>(accept implicit use of this equation)</em></p>
<p>\(\lambda = \frac{{6.63 \times {{10}^{ - 34}} \times 3.00 \times {{10}^8}}}{{1.63 \times {{10}^{ - 18}}}} = 1.22 \times {10^{ - 7}}{\text{ (m)}}\);</p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a correct bald answer.</em></p>
<p>(ii) photon absorbed when its energy is equal to the difference between two energy levels;</p>
<p>so absorption not possible;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (a) the logical sequence is: line spectra <span class="s1">➡ </span>discrete photon energy <span class="s1">➡ </span>discrete electron transitions <span class="s1">➡ </span>discrete electron energy levels. However, very few were able to sequence their answers in this way. Despite this there were many reasonable answers.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (i) many correct answers were seen, but there were some answers where the de Broglie formula was mistakenly used. (ii) was poorly answered as few could explain that a 12.5eV photon did not match any of the possible transition energies.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about radioactive decay.</span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Sodium-22 undergoes </span><em><span style="font-size: 12pt; font-family: 'SymbolMT';">β</span></em><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">+ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">decay. </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing entries in the following nuclear reaction.</p>
<p>\[{}_{11}^{22}{\rm{Na}} \to {}_ \ldots ^{22}{\rm{Ne}} + {}_ \ldots ^0e + {}_0^0 \ldots \]</p>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>half-life</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sodium-22 has a decay constant of 0.27 yr<sup>–1</sup>.</p>
<p>(i) Calculate, in years, the half-life of sodium-22.</p>
<p>(ii) A sample of sodium-22 has initially 5.0 × 10<sup>23</sup> atoms. Calculate the number of sodium-22 atoms remaining in the sample after 5.0 years.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\({}_{11}^{22}{\rm{Na}} \to {}_{10}^{22}{\rm{Ne}} + {}_{ + 1}^0e + {}_0^0v\)<br>\({}_{10}^{22}{\rm{Ne}}\);<br>\({}_{ + 1}^0e\) (<em>accep</em>t \({}_ + ^0e\))<br>\({}_0^0v\); (<em>award <strong>[0]</strong> for</em> \({}_0^0\bar v\))</p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>time taken for half/50% of the nuclei to decay / activity to drop by half/50%;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);<br>\(\frac{{0.693}}{{0.27{\rm{y}}{{\rm{r}}^{ - 1}}}}\)=2.6 (years);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p>(ii) <em>N</em>=5.0 x 10<sup>23 </sup>x e<sup>-0.27x5.0</sup>;<br><em>N</em>=1.3 x 10<sup>23;<br></sup><em>Award<strong> [2]</strong> for a bald correct answer. </em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> This question was well done in general.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>Many candidates referred to mass halving rather than activity.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<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 class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the spectrum of atomic hydrogen.</p>
</div>
<div class="question">
<p class="p1">Calculate the difference in energy in eV between the energy levels in the hydrogen atom that give rise to the red line in the spectrum.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">\(E = \left( {\frac{{hc}}{\lambda } = } \right){\text{ }}3.03 \times {10^{ - 19}}{\text{ J}}\);</p>
<p class="p1">\( = 1.90{\text{ eV}}\);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for bald correct answer.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">The calculation in (b) was often correctly done.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
</div>
<div class="specification">
<p class="p1">The half-life of Au-189 is 8.84 minutes. A freshly prepared sample of the isotope has an activity of 124Bq.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nucleus of a radioactive isotope of gold (Au-189) emits a neutrino in the decay to a nucleus of an isotope of platinum (Pt).</p>
<p class="p1">In the nuclear reaction equation below, state the name of the particle X and identify the nucleon number \(A\) and proton number \(Z\) of the nucleus of the isotope of platinum.</p>
<p class="p1">\[_{\;79}^{189}Au \to _Z^APt + X + v\]</p>
<p class="p1">X:</p>
<p class="p1"><em>A</em>:</p>
<p class="p1"><em>Z</em>:</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the decay constant of Au-189.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Determine the activity of the sample after 12.0 min.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><em>X</em>: positron <strong><em>or</em></strong> \({\beta ^ + }\);</p>
<p class="p1"><em>A</em>: 189 and <em>Z</em>: 78; <em>(both responses needed)</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(0.0784{\text{ mi}}{{\text{n}}^{ - 1}}\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>recognize to use \(A = {A_0}{e^{ - \lambda t}}\);</p>
<p class="p1">\(A = 48.4{\text{ Bq}}\);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">A surprisingly large number of candidates were unable to correctly identify the products of beta plus decay.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Unit errors were often made in (i) and in (ii) there was often some very strange arithmetic to be seen.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about atomic spectra and energy states.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how atomic absorption spectra provide evidence for the quantization of energy states in atoms.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The diagram shows some atomic energy levels of hydrogen.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_15.05.07.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/06.b"></p>
<p class="p1">A photon of energy 2.86 eV is emitted from a hydrogen atom. Using the diagram, draw an arrow to indicate the electron transitions that results in the emission of this photon.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">an atom will only absorb a photon if the photon energy corresponds to an energy difference between two of its energy states;</p>
<p class="p1">the absorption of energy takes places in discrete quantities (quanta);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">arrow drawn downwards from \( - 0.54\) level to \( - 3.40\) level;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (a), candidates rarely described absorption spectra, rather explaining emission spectra. There were very poor explanations of quantized energy states.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b) was generally well answered, although a common mistake was to have the change in the wrong direction.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about strangeness.</p>
</div>
<div class="question">
<p>The following particle interaction is proposed.</p>
<p>\[p + {\pi ^ - } \to {K^ - } + {\pi ^ + }\]</p>
<p>In this interaction, charge is conserved.</p>
<p>State, in terms of baryon and strangeness conservation, whether the interaction is possible.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>baryon (1+ 0→0 + 0) not conserved and strangeness (0 + 0→−1+ 0) not conserved;<br>so interaction not possible;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">In a particular nuclear medical imaging technique, carbon-11 \((_{\;6}^{11}{\text{C}})\) is used. It is radioactive and decays through \({\beta ^ + }\) decay to boron (B).</p>
</div>
<div class="specification">
<p class="p1">The half-life of carbon-11 is 20.3 minutes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the numbers and the particle to complete the decay equation.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_15.09.19.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/07.a.i"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the nature of the \({\beta ^ + }\) particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline a method for measuring the half-life of an isotope, such as the half-life of carbon-11.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the law of radioactive decay.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Derive the relationship between the half-life \({T_{\frac{1}{2}}}\) and the decay constant <span class="s1">\(\lambda \) </span>, using the law of radioactive decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the number of nuclei of carbon-11 that will produce an activity of \(4.2 \times {10^{20}}{\text{ Bq}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\left( {_{\;6}^{11}{\text{C}} \to _{\;5}^{11}{\text{B}} + _{ + 1}^{\;\;0}{\beta ^ + } + v{\text{ (or neutrino)}}} \right)\)</p>
<p class="p1">\(_{\;6}^{11}{\text{C}} \to _{\;5}^{11}{\text{B}} + _{ + 1}^{\;\;0}{\beta ^ + }\);</p>
<p class="p1">v (or neutrino);</p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for all the correct numbers and </em><strong><em>[1] </em></strong><em>for the neutrino.</em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">positron / antielectron / lepton;</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">measure activity as a function of time;</p>
<p class="p1">create a graph of activity with time, and estimate half-life from the graph;</p>
<p class="p1">make at least three estimates of half-life from the graph and take mean;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">measure activity as a function of time;</p>
<p class="p1">create a graph of ln(A) with time, find the decay constant <span class="s1">\(\lambda \) </span>from the gradient;</p>
<p class="p1">estimate the half-life using \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the rate of decay is proportional to the amount of (radioactive) material remaining;</p>
<p class="p1">the number of undecayed nuclei at time \(t\) is given by \(N = {N_0}{e^{ - \lambda t}}\), where \({N_0}\) is the number of undecayed nuclei at time \(t = 0\) and \(\lambda \) is the decay constant;</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{N_0}}}{2} = {N_0}{e^{ - {T_{\frac{1}{2}}}}}\);</p>
<p>\(\ln \left( {\frac{1}{2}} \right) = - \lambda {T_{\frac{1}{2}}}\) so \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{\ln 2}}{{60 \times 20.3}}{\text{ }}( = 5.69 \times {10^{ - 4}}{s^{ - 1}})\);</p>
<p>\(\frac{A}{\lambda } = \frac{{4.2 \times {{10}^{20}}}}{{5.69 \times {{10}^{ - 4}}}} = 7.4 \times {10^{23}}\);</p>
<div class="question_part_label">b.iv.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(i) was well answered.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(ii) was well answered.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(i) was poorly answered, with many referring to measurement of the loss of mass of the sample.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(ii) was very poorly answered.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most did not use the law of radioactive decay, as required in (b)(iii).</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(iv) was either very well answered or very poorly answered.</p>
<div class="question_part_label">b.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about electrons and the weak interaction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State</p>
<p>(i) what is meant by an elementary particle.</p>
<p>(ii) to which class of elementary particles the electron belongs.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is one of the particles produced in the decay of a free neutron into a proton. An exchange particle is also involved in the decay.</p>
<p>(i) State the name of the exchange particle.</p>
<p>(ii) The weak interaction has a range of the order of 10<sup>–18</sup>m. Determine, in GeVc<sup>–2</sup>, the order of magnitude of the mass of the exchange particle.</p>
<p>(iii) It is suggested that the exchange particle in the weak interaction arises from the decay of one type of quark into another. With reference to the quark structure of nucleons, state the reason for this suggestion.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) particle that has no internal structure/is not made out of any smaller constituents;</p>
<p>(ii) leptons;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) intermediate vector boson/W boson;</p>
<p>(ii) \(m = \frac{h}{{4\pi Rc}}\);<br>\( = \left( {\frac{{6.6 \times {{10}^{ - 34}}}}{{4 \times 3.14 \times {{10}^{ - 18}} \times 3.0 \times {{10}^8}}} = } \right)1.75 \times {10^{ - 25}}{\rm{kg}}\);<br>\( = \frac{{1.75 \times {{10}^{ - 25}}{c^2}}}{e} = 109{\rm{GeV}}{{\rm{c}}^{ - 2}} \approx 10^2{\rm{GeV}}{{\rm{c}}^{ - 2}}\);</p>
<p>(iii) the neutron quark structure is udd and the proton uud;<br>a d quark in the neutron changes to a u quark by emitting a W boson;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about elementary particles.<br> </span></p>
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This quark is said to be an elementary particle.<br> </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the term elementary particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The strong interaction between two nucleons has a range of about 10<sup>–15</sup> m.</p>
<p>(i) Identify the boson that mediates the strong interaction. </p>
<p>(ii) Determine the approximate mass of the boson in (b)(i).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>particle with no internal structure / cannot be broken down further;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) pion/meson/gluon;</p>
<p>(ii) \(m = \frac{h}{{4\pi Rc}}\);</p>
<p><br>1.8x10<sup>-28</sup>(kg);</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>This question was well answered.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>This question was well answered.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nuclide of the isotope potassium-40 \(\left( {{}_{19}^{40}{\rm{K}}} \right)\) decays into a stable nuclide of the isotope<br>argon-40 \(\left( {{}_{18}^{40}{\rm{Ar}}} \right)\). Identify the particles X and Y in the nuclear equation below.</p>
<p>\[{}_{19}^{40}{\rm{K}} \to {}_{18}^{40}{\rm{Ar + X + Y}}\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The half-life of potassium-40 is 1.3×10<sup>9</sup>yr. In a particular rock sample it is found that 85 % of the original potassium-40 nuclei have decayed. Determine the age of the rock.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the quantities that need to be measured in order to determine the half-life of a long-lived isotope such as potassium-40.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>neutrino/<em>ν</em>;<br>positron / e<sup>+</sup> / \({}_{ + 1}^0{\rm{e}}\) / β<sup>+</sup>;<br><em>Award <strong>[1 max]</strong> for wrongly stating electron and antineutrino. Both needed for the ECF.</em><br><em>Order of answers is not important.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \left( {\frac{{\ln 2}}{{1.3 \times {{10}^9}}} = } \right)5.31 \times {10^{ - 10}}{\rm{y}}{{\rm{r}}^{ - 1}}\);<br>\(0.15 = {{\rm{e}}^{\left[ { - 5.31 \times {{10}^{ - 10}} \times t} \right]}}\);<br><em>t</em>=3.6×10<sup>9</sup>yr;<br><em>Award<strong> [3]</strong> for a bald correct answer.</em></p>
<p><em><strong>or</strong></em></p>
<p>(0.5)<sup><em>n</em></sup>=0.15;<br>\(n = \frac{{\log \left( {0.15} \right)}}{{\log \left( {0.5} \right)}} = 2.74{\rm{half - lives}}\);<br>2.74×1.3×10<sup>9</sup>=3.6×10<sup>9</sup>yr;<br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the count rate/activity of a sample;<br>the mass/number of atoms in the sample;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about atomic energy levels.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline a laboratory procedure for producing and observing the atomic absorption spectrum of a gas.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Describe the appearance of an atomic absorption spectrum.</p>
<p>(ii) Explain why the spectrum in (a) provides evidence for quantization of energy in atoms.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The principal energy levels of the hydrogen atom in electronvolt (eV) are given by</p>
<p>\[{E_n} = \frac{{13.6}}{{{n^2}}}\]</p>
<p>where <em>n</em> is a positive integer.</p>
<p>Determine the wavelength of the absorption line that corresponds to an electron transition from the energy level given by <em>n</em>=1 to the level given by <em>n</em>=3.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>shine <span style="text-decoration: underline;">white</span> light through;<br>a tube of the gas;<br>then observe with spectroscope/grating/prism;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) continuous spectrum crossed by dark lines;</p>
<p>(ii) dark lines formed by the absorption of photons;<br>the absorbed photons have specific/discreet wavelengths;<br>indicating discreet differences in energy;<br>which can only be explained by existence of energy levels;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(E = 13.6\left[ {\frac{1}{{{1^2}}} - \frac{1}{{{3^2}}}} \right] = 12.1{\rm{eV}}\);<br>12.1eV=12.1×1.6×10<sup>–19</sup>J =\(\frac{{hc}}{\lambda }\);<br><em>λ</em>=102nm <em><strong>or</strong></em> 103nm;<br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about mesons.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by an exchange particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A meson called the pion was detected in cosmic ray reactions in 1947 by Powell and Occhialini. The pion comes in three possible charge states: π <sup>+</sup> , π<sup>−</sup> and π<sup>0</sup>. The Feynman diagram below represents a possible reaction in which a pion participates.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">State and explain whether the meson produced is a π <sup>+</sup> , π<sup>−</sup> <strong>or </strong>a π<sup>0</sup>.</p>
<p style="text-align: left;"> </p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a particle that mediates/carries/transmits one of the fundamental forces / a particle that is exchanged between two particles when undergoing one of the fundamental interactions / <em>OWTTE</em>;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>π<sup>+</sup>;<br>from conservation of charge at either vertex, the pion must have charge of +1;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the decay of a kaon.</p>
<p>A kaon (<em>K</em><sup>+</sup>) is a meson consisting of an up quark and an anti-strange quark.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align: left;">Suggest why the kaon is classified as a boson.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A kaon decays into an antimuon and a neutrino, <em>K</em><sup>+</sup> →<em>μ</em> <sup>+</sup>+<em>v</em> . The Feynman diagram for the decay is 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;">(i) State the <strong>two</strong> particles labelled X and Y.</p>
<p style="text-align: left;">(ii) Explain how it can be deduced that this decay takes place through the weak interaction.</p>
<p style="text-align: left;">(iii) State the name and sign of the electric charge of the particle labelled A.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the spin number of a boson is an integer value;<br>the spin of the kaon can be \(\frac{1}{2} + \frac{1}{2} = 1\) <em><strong>or</strong></em> \(\frac{1}{2} - \frac{1}{2} = 0\)</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>X</em>: anti-strange quark / \(\bar s\);<br><em>Y</em>: antimuon / <em>μ</em><sup>+</sup>;</p>
<p>(ii) the process violates strangeness number conservation;<br>only the weak interaction allows this violation;</p>
<p><em><strong>or</strong></em></p>
<p>the decay of the kaon involves a neutrino;<br>any decay involving the neutrino must take place by the weak interaction;</p>
<p>(iii) <em>name:</em> W (boson);<br><em>sign:</em> positive;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<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 class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<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 class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quarks.</p>
<p>The quark content of a <em>π</em><sup>+</sup> meson includes an up quark.</p>
<p>The Feynman diagram represents the decay of a <em>π</em><sup>+</sup> meson.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the particles labelled A and B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, with reference to their properties, <strong>two</strong> differences between a photon and a W boson.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>A: π<sup>+</sup> meson;<br>B: antimuon neutrino;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>rest mass is non-zero for W, zero for photon;<br>range of photon is infinite, not for W;<br>photon carries electromagnetic force, W weak force;<br>photon is uncharged, W is charged;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quarks.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the name of a particle that is its own antiparticle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The meson <em>K</em><sup>0</sup> consists of a d quark and an anti s quark. The <em>K</em><sup>0</sup> decays into two pions as shown in the Feynman diagram.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State a reason why the kaon <em>K</em><sup>0</sup> cannot be its own antiparticle.</p>
<p>(ii) Explain how it may be deduced that this decay is a weak interaction process.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>photon / graviton / Z / Higgs;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>K</em><sup>0</sup> has a strangeness of +1, its antiparticle has strangeness –1 and so are different;<br>the antiparticle is s, \(\overline d \) and so is different;</p>
<p>(ii) strangeness is violated in this decay;<br>this can only happen with the weak interaction;</p>
<p>(iii) <em>Z</em><sup>0</sup> / <em>Z</em>;</p>
<p>(iv) \(R = \left( {\frac{h}{{4\pi mc}} = } \right)\frac{{6.6 \times {{10}^{ - 34}}}}{{4 \times \pi \times 1.6 \times {{10}^{ - 25}} \times 3.0 \times {{10}^8}}}\);<br>R≈10<sup>−18</sup>m;<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Ω<span style="font-size: 7.000000pt; font-family: 'TimesNewRomanPSMT'; vertical-align: 5.000000pt;">– </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">particle. </span></p>
<p>The Ω<sup>–</sup> particle is a baryon which contains only strange quarks.</p>
</div>
<div class="specification">
<div class="page" title="Page 34">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about laser light.<br> </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce the strangeness of the Ω<sup>–</sup> particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Feynman diagram shows a quark change that gives rise to a possible decay of the Ω<sup>–</sup> particle.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZMAAADBCAYAAAAKLV0pAAAgAElEQVR4Ae2dC3QURbrH/xCMi4RgUDxCWFdWCMa3CIG77q6wCW5Y5REUfIDAohwgBFgFhcACBpaXioIgD2GRBFBE5OFjAROM8a53MWB0ryKEx9VFIl5z5RGCEZZM7vkaKvRMepKZTM9MT/e/zhmm011dj1818+/6quqrBlVVVVVgIAESIAESIIEACDQM4F7eSgIkQAIkQAIaAYoJHwQSIAESIIGACVBMAkbIBEiABEiABCgmfAZIgARIgAQCJkAxCRghEyABEiABEqCY8BkgARIgARIImADFJGCETIAESIAESIBiwmeABEiABEggYAIUk4ARMgESIAESIAGKCZ8BEiABEiCBgAlQTAJGyARIgARIgAQoJnwGSIAESIAEAiZAMQkYIRMgARIgARKgmPAZIAESIAESCJgAxSRghEyABEiABEiAYsJngARIgARIIGACFJOAETIBEiABEiABigmfARIgARIggYAJUEwCRsgESIAESIAEKCZ8BkiABEiABAImYLKYlGL/ticw4tYEJCbcijsnrsW2kjLsn/0Stp0LuKxMgARIgARIwKIETBSTCnz75gj029AePbd+gb37/4n/HNMM37/YA703/tui1WexSIAESIAEzCDQyIxEtDRcn+G9lQfx80cX4J5W0dqphq3uxaApwPf/OGhaNkyIBEiABEjAegTM65m4TuDk9xX4Ou8TFLt0FY3pil49LtGd4CEJ2JnAHmx57CYkJoipVz5jseiosvF6XOs0n+ZfOz8KDqubeWLS8HLEtYpCZd6T6NNrCqZvL8YxDWYMEjJHIdW8PpDDmojVjSwCN6L3ii+w5+0BuKFGwWu7ViMyT5BARBEwUUyScN+cAbirMYD9r+O10T1x563D8fi6XTio76lEFB4WlgTqR6BhbHO08HJrbde83MLTJGB5AuaJCaLQJPHPWPrRaix6ojPaSdUr8rFt6gD0Gb4GO8upKJZ/GlhAEiABEqgnARPF5EIJYjojecRqvFV0UVQqC57FU28cQGU9C8nbSIAESIAErE3APDE5l4tZz+y9KBiaqKzCq2vvRTtUoHTnPnxlbRYsHQmQAAmQQD0JmCcmOIfod7Yj182cFYWY27sjuRkQ1aIZmnkUcvbMmchIT8emjRtxqqzM4yr/JAFrEigpKcGihQuR3K0b9u3da81CslQkEGICJooJcEnFYjz+4DTMKjx6oYdSiuJVi7G8/B6MGPmrGgOSGaNHIzklBTmrVmn/MTMnTMCOvLwQI2B2JFA3AXnZkZeetF69tE/JkSOYNHkyrk9MrPtmxiABBxAwccJuI5zutxEf9/wC7215FJ0GHkQFrsJ1Q5/Ac3n3IjX+/EJGPdOmsbFI69tX+8jbnvxnnTVzpvZJSUnBoCFDEB8fr7+FxyQQUgLyciPPpXzLi488k/JsyrNba2jRFonNgIKTtcQ6ewLHf3QBsaa+09WSIS+RQPAINKiqqqoKXvL1S7nw44+r/wOLmCjBqfM/cP2y410k4EZATFciIPKRZ27w4MFI7t7dvxcb1z+QkzYUs/d2wkNvv4yp7X92IY9KlO96Eg8PeAcH0AOjCuYho6WJ73RuNeEfJBA6ApYUE3311VuhejOUt0MRFwYSMJOA9Ix35OYiOztbG79TLzD1N2OV48DKPug1pxTN+z2P7BnJaIsD2LXgVey+6hg+ydqKjy5UIKr/y8j/S9caZmAz68e0SCDYBCwvJgqAslmLuMh/fBGVwUOG0GatAPHbbwLyTOVdMGPtKixEn7Q0pHTvrj1bfidmdIPrAHY9PxbDX75o8s145F6kNlyGEXe9jiND05F6xS+R+mgXtKWly4ggz0UQgYgREz1TZYaQHwIJ6i2S4yt6Sjz2RkB6uXm5udo4iDwzPo+DeEuQ50mABBCRYqJvN/4w6Gnw2BsBvoB4I8PzJGAOgYgXE4Uh6CYLlRG/I4YATaMR01QsqA0I2EZM9G1h/mCqPnUeW50AJ21YvYVYPjsSsKWY6BtKmTcCmuapT5DHliTA6eSWbBYWykEEbC8m+raU8RX11iqzweTj0wI0fSI8tgwBtdBV2lQCF7papmlYEAcScJSYqPZV4yvixkVNMzZ1SqjKiN+mEzBqO5nNl9S5s+l5MUESIAHfCThSTPR4+Harp2HdY/Yqrds2LBkJCAHHi4n+MaDdXU8j/Mcy3pW9alX1ehDpgfjt1iT81WAJSMARBCgmXppZja3IG7EaX5Efs7qCmGHEWeXsuXPrisrrBgQ4E88ACk+RQAQQoJjU0Uj+rlUQEZo0caLmmoOCUgfcC5fVOIiwC4pbE9+KwVgkQAIBEKCY+AFPTTOuzY2L7Hexb98+LVXx9URB8Q5YeS/YvGkTOiUlaW5xOLvOOy9eIQErE6CY1LN11A+hfCv/TjfceCP69OzplmLmpEma7ye3kzb9Q1jIzpkSRBwkCJv41q2146SkJBw+fBh7vvgCH374oXaOftU0DPyHBCKeAMUkwCb0NNEYJTdrzhzHuM2XrWy/LSkxwlB9rnOXLpiYmUmPz9VEeEACkU+AYmJiG3a8/XacPn3aMEWnCMrsmTORk51tyEBOOoWDVwC8QAI2JcBdFExqWDHxeBMSyUIG5f/27rsm5WbdZG697TavhaOQeEXDCyQQ8QS4X6hJTahcehglJ+MGP505g3GPP64Jit3cuMh0XvEmoCYmxMXF4fjx424oRo0e7RhTn1vF+QcJOIQAzVwmNfSihQu1lBITE9G0aVPExsbWGBNQ4yt2cONiVBfl1kRNj1ZoOatNkeA3CdiXAMUkTG1r5MZFfozrv+d4aCoi5jwRC/lWizk9p/OK0MhA/KlTp7jeJjTNwlxIIOwEKCZhbwLAyG2ICEvT2FgLlM64fHW5NcmcMEETk0WLF1uiDiwECZBAcAlQTILL1+/U1Vu//s1fhCXUIVC3JnJ/bNOmlhHEUPNjfiTgNAIUE4u2uJiKRFjkIz/MYlJSYxLBKrIaB5E86dYkWJSZLgnYkwDFJALaVcREP1tKREU+MkvMjCC9oLzcXNCtiRk0mQYJOJMAxSTC2l398Mu3cuPiOQBeV5VkjOb9HTtQUFCAI998g+hLL8V9999vqkDVVQZeJwESsBcBikmEtqcySYmoyEeZweRbxOKJP/0JX331lVa7vvfdp7kvkenLmzdvRtnJk261jomJgew0SaeUblj4BwmQgB8EKCZ+wLJqVM/B8jNnzuDs2bPVxW3QoAHk43K5qs8ZHXA9iBEVniMBEvCFAMXEF0oRFGfDG2/g6alTUVlZaVjqVvHxyBg9unrP9B25uVi6ZEn1inW6PDHExpMkQAJ1EKCY1AEo0i7L1sNDhwypISbSM5k5e7ahSxP9IkMRmx35+ZFWbZaXBEggzATo6DHMDWB29uLOJSoqqkay9/bsaSgkElEWR0pvRYK4j5cxFwYSIAES8IcAxcQfWhEQV4Th9Tfe0PyDRUdHayXu0KEDpkydWmvpZUW7CnspJgoFv0mABHwkQK/BPoKKpGji36vwk0+0HoaIiy/rUfRxZECfgQRIgAT8IUAx8YdWhMW1utPICMPJ4pIACdRCgGauWuDwEgmQAAmQgG8EKCa+cWIsEiABEiCBWghQTGqB49RL4u2XgQRIgAT8IUAx8YeWjePK+hQVONaiSPCbBEjAVwIUE19JMR4JkAAJkIBXAhQTr2icdaGwsLC6wkmdO1cf84AESIAEfCFAMfGFkoPiNOV4iYNam1UlAfMIUEzMYxnRKakxE46XRHQzsvAkEDYCFJOwobdmxrGxsdYsGEtFAiRgaQIUE0s3T+gKp5w7smcSOubMiQTsRIDuVOzUmgHU5dSpUwHc7X6rmMzUgL54MU5KStI8E7vH4l8kQAJ2IkAxsVNrhrEusidKdnY2clatgqcwNWnSBL379MGUadPCWEJmTQIkEEwCFJNg0nVI2rK3vJGIqOqfPn0ar65dix9//JH7zCso/CYBmxHgmInNGrS+1VFTgqWH4WuQcZa0Xr3w0sKF1b2RTklJkK1/C3fvRl5+PjInTUJcXJyW5OZNm7AjL8/X5BmPBEgggghQTCKosYJZVDXwrqYI15WX9EbSevfGvn37tKiy3W/26tXIWbNG29FR7aMyaMgQvLFxo7ZZl0TMXrWqrqR5nQRIIAIJUEwisNGCUeSUlBQtWRGH2gRFriV366b1RlQ5Ro0ere0b723lvGy8lda3rxZ9V2Eh/On9qDz4TQIkYG0CFBNrt0/ISqfftnfK5MkoLi52y1tMWhnp6Rj8yCPaPvFy8frrr8emLVuq9493u8Hjj+QLYiWnuS2wBxz+SQI2INCgqqqqygb1YBVMICCmKxn/UEHEQnob0htR5ix1TXojGaNHqz99+k5MSNDiyTiKmL8YSIAE7EOAs7ns05YB10TE4dOiIvzXRx9paYmAeIpIn7Q0ZIwZ49O+8t4KVGbimhZvefA8CZBAaAlQTELL2/K5/fWVV7SeSE52tmaOkvENGZyXHoqMe8j4BwMJkAAJeBKgmHgS4d+acHgbTDcDj6yKZyABErAXAQ7A26s9LVsb/QwxtabFsoVlwUiABPwmQDHxGxlvIAESIAES8CRAMfEkwr+DQkA5fpTEg2lCC0rhmSgJkECdBCgmdSJiBDMJ0MRlJk2mRQLWIUAxsU5b2LokasxEuW2xdWVZORJwIAGKiQMbPZxV5k6O4aTPvEkgeAQoJsFjy5R1BMQnlwT2THRQeEgCNiJAMbFRY7IqJEACJBAuAly0GC7yDs3XjAWLMv6iZofJinzxeCwu7xlIgATCR4BiEj72jsy5vrO5SkpKsOjFF7XNtTy3Bf7LZZfh4YEDMW78eEcyZaVJwAoEKCZWaAUHlUFEwd/g6c3Y837ZDnjFyy/j7JkzyJw82fMy/yYBEggBAY6ZhAAys7hIwB8xEXOW50Zcsi3wosWLsXf//uptgS+99FItA3FOqaYgX8yRRyRAAqEgQDEJBWXmoW2kJRhkky1fwuyZM2tsxKW2BVYbbcl4ieyLsm79+uptgaUXw0AC4SFwFt+tfxLjdx5FZXgKENZcKSZhxe+czNWU4B15eaitd6J6I9LLUEE24tr01lte3bBI2twWWNHi93kCe7DlsZsgG7IZf8Zi0dFz1bDO7RqLzkZxh2/BwepYPhxEHcS7w/+CmXvLfIhsrygUE3u1p2VrIxtqqTB08GCftgVul5CAZcuX+7Sjo+qtSB7cFliRdvL3jei94p/YtWUankproQNxFdrPycMX+xcgo+XFIeNGnRbg4/0fYu2wq7W4UXeNxqQtu7F3WW+01d1d+2E0rv79nzDhjr9j/cJ8FLtqj223q9y2124tauH6iOlK3+Pwti2wzPgS85U/2wLLJl5JHTtqtZcxFb24WBgJixYSAqUoXjEUDz1TjAoAUSnP4s1FvdHe41XadTQH0wc/g9xOC5A9IxltPa77WlRXyUKMTvkA0Tkr8UKnZr7eFvHx6okr4uvNCoSBgMy06tipU3XOsiWwiIt+a2DZFlhMWv4IiSSoX2fCnkk1Yh5oBFqg/dDn8Hy/8z2UyrxnMWHzYfdxDdfneDtrHja0nYmVAQiJZNcwvjf6p32F3C2fotRBLXCxn+egSrOq4SOweu3a6m2By8rKID0KEQJZeJjcvTu3BQ5f09g754bt0TUzE8OLnsSyQ9+jOGs+lnSeg4z4aADfoWjeKEyufBIrnutZo8fiP5hrcGfabxD1x0/xydNdkeqQX1mHVNP/x4F3BI+A7Gdi9p4mIkoqJCUlqUN+k8BFAjE98Nj09/H+gHdwoOIdLJ15F7ov6oHY/CkY/WYKJm/qjy4x5hhrGrVPQq/KrSg89BNS2//sYhlsfGQOORsDYtUigwBNW5HRTuEtZRRiOs3E0tk3ozEAMXeNmzUdU8c2wUNvTsRDLaWXYlKI+SWu++XnKNzzfyYlaP1kKCbWbyOW0E8CdHPvJzBHRW+MVmlPY9rvRE6+x6Gc7Tg6ffwFc5eJIBrGo82tUfi66KBjxk0oJiY+P0wqfASU40cpgVrTEr7SMOdQEpB1S7WtXapRloY3o/czT6Gf6AlO4tDKzdhWbvY83hg0vSIalaUncbJGAex5gmJiz3Z1bK3q60jSscAitOLiSUG8HaT16oWUbt2waeNGP2pSiuL1G/DBTbejndy1fzlmLCvCMT9S8Dlq0Vc4eHFtpM+3RWJEDsBHYquxzDUIKJ9c7JXUQGObE+I9Qdo5Ly9PmwUoa4lkMaxMuNBPDa+9wpUo3zUbw/LT8MyyPyB6SV8MWP4dji17BjN+u9z8dSEnv8LB0nOAboFk7eWL3KsUk8htO5bcgADHSwygROgpmaEnwqFERHyxySzAlxYvrrcp01WyGE/+0YX+2x9El5hoYORTGP6+TBf+DNuyVuP369KRatKMrgjFXu9iU0zqjY43WokAtwW2UmvUvywy9rEjN1cTEWlT8RIta5BkwauISUChvACr0t/Bz15Zf3HAXT9dWDN3dUHSuI5oHlBG+psP4dCRn4CWMfqTtjymmNiyWVkpEogcAjL+IWMeevOVOO6UHojv5qs66usqRv6MGdjYawFy3FycyHThp/D0sN3BNXfVUTw7XKaY2KEVWYdqAoFuCyymFZkZptatcFvgarReD4TZoIEDsWjJEp96D4pxXm6uZsJSHhAmTZ4cHJ9qrmJ88Odh+HOjacj+440GvY6r0WHcS5hzaCAmvv8Ztj02CXHrZmNqIreC9troBhcoJgZQeMqAwNGFGHHXQhQYXAISkLp2HV7opOvKn9uKBf8xFks950U2S8cL//hT0FxM1Hc2l5hXZFvgzZs21ajhjMaNMeCRR7gtcA0y0AbCRUjEv5qYp8RBp1FQ5isRahkDESef0vsYPGRIvcc/jPJxP1eK4u2LsWb+Omw4dAXaz2mHNr7MX63IxWsPnsPxueMwJTXBQHzcczH+6yi+2VsO4ErjyzY8S6/BNmzUoFXJdQCfrJyOrGc+xgEtE3Hn/Sre7HsNogwzrcDRHWMwfGQB/ueudIx49AGM7NLSS1zDBHw+KXtWSPDXY7C8JcsUU703Y2+Zyr4q/jqg9JaWHc6rHoly1CkCIU46VRDzlTaAnpuriY3MvpKPjIGYZr5SmXl++/EyI3uZ3DlgKy465NEn1gOjCua5uavXX/V+LPupPICJH15b80XL+00RfYU9k4huvhAXvmE73PHYy1jW5rxAnBeU2soQjSZw4US/xdg8I6XeLr1ry8HzmpinfHU/L2/ImRMm4NSpU9XJiNfilO7dtTTU2/Rzzz6Lf//733hp4UJtGqrZfsWqM4+gA08hkaKLqKx//XV8WlSkmQrlnEzblem7vraJaQga9cDYXT0w1ocEz+9lssCHmH5EcZXhZKmz9lukmPjxfDCqEGiMlskz8PSw/tqAZfHE8Rj/cy/z88u3Ysm8mzBp/e+CLiSt4uPxbUmJT9sCyw9h5sSJmrlFtanMGhKbvX6ditoWWMQjrXdvLaoMFDtdTIyERHEUwU3t0SOg6bsqrYj+dp3A8W9FTK7Dda3p6DGi25KFDyaBq9FB5udfJ8at8/Pza7qj+A5F81fju6yhIZm3rzwFS29DehTegohBcrdu1UIiYyyZkyYhZ80aNyHR3y8CIz0WCZK+k4Ow7X///W570Oh53HzLLdo0Xr0o66/z2L4EfBmOsm/tWbP6E9Dm5/e44I5iHZa+d0S32ZCsMp6HqY3GY4rbNMz6Z1fXnWoPeIlntC2wrJyWgeJJEydWm7WkNyI2fm+Dxvo8xfQlQUxiMhbgtCD8Jmdm4u7kZHz99ddeqy9iKz0XBucRoJnLeW1uUo3d5+e7bTZUvhUvTWuFjPV31HMmjP9FFNPToMGDtYH0w4cPo0/PntqMIXlDlhlEYgJTQXojs+fO9cuOr58lJpt62T2IIMjguYiICISavps1Ywbi4uK0qdMlR45ovUC1YFQxkfv04q7OO/K7WRu0beGMn1ln1NKRT3EoKn3B3KW5o1CbDf0GpzXz1suYEGK3FLJK+ssvv8TuXbu0ysuAsJppJCdEEKQXMnjw4ODPJgoFfpPzUBMOPKfvygC65+pzzwF1uVfERe6lSxsAPx7DD2cBmLhFisnNbXpyFBPTkTosQb07Ctls6PF3gZbjPVYZh46J57bAkrP8uMmYirwtB31KauiqakpOavW59EBEEKSHJ0Ixe84cv1iJ2MjH6ZMTTGmUCE2EYhKhDWedYrubuw5tvQOjCm4PmXnLiIP8oPFHzYjM+XNittKvPg/b9F3vRYz8K5c1xxXSK+nQBm0d8ivrkGpG/rNp7RpcjQ4D++Gu5d5WyFu79P6WLtLMONLjUGMfIiSyuDC5e/daZ7D5y4TxSYBiwmeABHwgIGMBKkTCtFcxX4mAyFRoGTcS05V8TPG+q0Dw2zuBhpcjrpWxXwjvN0X2FYpJZLcfSx9iAvpZXSHOus7spNchAqL3vuv/5lF1ZsMIvhBoGItmLSgmvqBiHBJwFAH5kZZgpV6Jmr6rRERN3w1k8yhHNWpQK9sSP0+MAfYHNRNLJc6eiaWag4WxKgG1EC/c4yVq+q70PkzfPMqq8COyXDFodW1L4KMTOOYC4IDl4RSTiHxQrVboChz98r/xrVasT7Dtb8V4+FGjfSOsVm7fy6PWq4SjZ6Km7+rNVzLN2dTNo3xHwZg+EYjGVTfdhvb7jwVZTH7AZ/Nuwe3jz//vcy9aKgYWbcDq25u4nw7SXxSTIIF1RrLHUDTvDxiw7Jiuut/j0Nw03DkXiB65Drse72CrdVuxTZvq6hqcQ+kFyYC/fvquuG0P2uZRwamG41Nt2LItbq7cisJDPyG1vY/OHl17sHNuf/Sd9CWO1kXw7r8if+tQdB1XgqpxdUUO/nWKSfAZ2ziH5ugwbif2WuBBDiZkvS+uYPVMlPnKc/V5cDePCiY1po3Y3yD53mV45chpwCcxKcP+5b3xH5MORSQ8B1jyIrJdWGgLEQiWLy4RKdmYK61XL6R066b1RmT6bl5+frUDymCJl4Xw2rgo8eiQ2gaf5X+OUl9qeXIN5i8eiVePnEFVZR5ebnkP0vdWoKqqClVVJ1G89DqgZSZeOlF5/tz2oehqoV9w9kx8aWTGIQE/CIhIDB40CGUnz+9Z3Pe++zBz9mwtBbX6XK1b4epzP8BGXNQoxHa6G73GbsbrI3+FjPjaHHWdQ9nfv0Grd7PwkMQ7WYwDpZfqalyKIwdKgZvb4oamFlIQXQkpJjoYPCSBQAnIeMcD/frh7Fnx8nc+yL7yMvPqxIkT1f6rOH1X0bH5d2xfjMzaiB7T1qPj/IfRxavz00aIvWc2/qzHEZWAG1vWJkD6yOE/ppiEvw1YAosTiG/durqEMrZRW5Btgysr3bdrdblcKC8v10xXnt53a0uL1+xAoDFa/X4MHn93DIYvv8HnCSmuo3tQVBmLaxUC19f4+rMf0ajDtWhvzY6JE2Y/q9bgNwnUj4BeANTixdpS8hQTiSsr5/Xp1HY/r9mMwGVX49qWMX5U6hzKvylGwV3tLGvSMqqMRTXOqKg8RwLhIyAD4xJkzEMtYDQqzaGDB41O45JLLnH8lr+GYGx/shJl+bMw9n9HYtmw23ycJv8v7N6+C7BwL8So2SgmRlR4jgQ8CMgujhJk2977+/atsc+8iIxsCzw9K8vjTuC3v/0tUv/wByx68UUkJiQgIz1dc8BYmyjVSIQnIpOAqxBvTv0J9z15fy3jJe5Vcx1ZjbULfkSLdq3Qwv2S7q9D2PbwCnwgq+stEjhmYpGGYDGsTUD2R+mTlgYZTJdtgWUqr7hyl/EUGSfxZVvgjNGjNRHakZur9VJkP3pJQ1azS/qcBmztZ8D/0kmvZCnmdxuJPJ/WmUgOR1CU81esPHcruv7iSnj+QJ9bsxHLxvwaUxtsx9oev8MrFuoONKiSScwMJEACdRKQnsSo9HRtZpZRZH+3BZb0jFa6i7Aos5pRPjwXKQQO44MnB+KV1E3ITr7Cp0K79o1Cj8TFeK/lKEwrfB5Pt1azucqwf1kHtB+hFjTeg34712B958t9SjcUkSgmoaDMPGxFQAbhc7KzoRYzivNH+fEXlyeBbAss6WrrUC6My0iaIiyBpmsr+JFUmXNbMf+2tSh7cwWm+tgzcR15GsPavIadCzfggxE3u5u5yv+GFcP6Y9i6O9H1tQVY/+D17tfDzIZiEuYGYPYkYERAuVfx9A4sOyRyVpgRMeudcxVn4b4+LvT/eBoeirWQPSpIqCgmQQLLZEnALAJiDhNRkV6L9F5ETKTHImMtHGcxi7LZ6VSibMdQ/OrFZKzcNAhJ9tcSUEzMfoaYHgkEmYASFb1L+pTu3SGuWQIxswW52A5L/oJH7f2ZeHtZb7R1QO0pJg5oZFbRvgTED5jWa8nNddvrXXouNIeFs90Po2BSH4z4YZpjxMRz5lk46TNvEiABPwmImUs+atqxGsRX045ljEUG8GkO8xNsoNFdJfjXngrg6kATipz7KSaR01YsKQnUSkB6IjKOIh8J2syw3FxtMaXaH57TjmtFaN5F1wkc/7aSYmIeUaZEAiQQLgIytVitVxFz2KaNG7VV+JkTJmgD+GZMZw5X3Ziv9QiwZ2K9NmGJSMB0AmLmypw8WUtXTTsWcRFzWKekJM0U5u+0YzGpSVqqJ2R6oSM5wR+P4QfZhaD0RJD3gLcOJIqJddqCJSGBkBAQc9igIUO0j5p2LMIguz4qc5haMFlbgUSMxL2MBAqKB6nTx/B9BYBvjlNMPNDwTxIgARsSEPHQj7OoAfzMiRM178iaKczLtGMZk5EgvRsJFBQNw/l/WrRFYjOgQHfK7ofsmdi9hVk/EvCDgAzQy0dMYjLOovVYXnyxetqxrGURc1jJkSOaB2WVNAVFkfD4PvkVDpaeA1ra/6fW/jX0aFv+SQIk4BsBNe1YTGLKHCa9kdmzZiEuLq5GIuU0vSkAAAUtSURBVBSUGkgcdcIBi/wd1Z6sLAkEhYAyhy1avBh79+9HgwYNDPMRQclZtcrwGk/amwDFxN7ty9qRgOkExPx17Ngxr+lKz2XAgw/WuiOl15ttd+E4jpWds12tjCpEM5cRFZ4jARLwSkBmcRmFVvHxuPLKKyEu+X/44Qckdexo/c2/XAfw8V+34ZvKQuQ83xx3F8xDhhnjG42uwbW3RgMfHsNxionR48JzJEACJABtMaSMqSQmJkI2BZNBe8+g3/zL32nHnmkF5+9jKHrhEQxZpnpZPXB3cDJyRKrsmTiimVlJEjCPgFr8WFeKMs4iU4vlI8Fo2rGIUPg2/2qODuN2Yu+wtZj6myy8IetCTAtNcflVapdE0xK1dEIcM7F087BwJGAfAmrK8Y78fGx66y2tVyMmMzGHDRo4UBu4lxX1IQ+XNccVpv/ux6Cp+YmGHI0/GbJn4g8txiUBEjCFgNEqfJl2LOYwuSbCI4sg6e3YFNwhSYRiEhLMzIQESMAbATXtWK2gF1ERk9io9HS3VfjKXOYtHWueb464WGf8zNLMZc0nkKUiAccSENGQcRkxh+WsWYP41q01b8eJCQnISE/XvB/X2xxW/jF2LH0EvRISkJhwK+6cuBYFJaYOlni0WxyaO0RMnCGZHs3LP0mABCKDgFqFb8bmX66jOZg++BnkdvgLXijKRlLMGXy3MwtjRv43YsXDbzBC4zhc0cQZ7+zOqGUwHhKmSQIkEFICavMvWYVfuHs3MsaM0XyEyThLncH1Od7OmocNbWdi5aw+SIqRn77GuLrLTKwY1wJFweqcRF+OuMuc8TPLnkmdTyEjkAAJWI2A57Tj2stXibL855D1fnPcseTXaO/22x6F2Bs6Ign/CI6H3w5t0NYhv7JuWGtvEF4lARIggUgkUIJPd3yOCtyCTjc0q1mBC+7ia14I5MxRfLO3HNHX/xzXBJJMBN1LMYmgxmJRSYAE6kHg3B58lltejxsDuMVVhuP/aozbbvkFTF/CEkCxgnkrxSSYdJk2CZBA+AmUHsTekyEuRvn/4NCR9riudZMQZxy+7Cgm4WPPnEmABEJBoNqMFSoPvpUo2/UeNiXcjdR2PwtFDS2RB8XEEs3AQpAACQSNQKMbcVv3GAD/RN5//QuVQctIJVyCotwv0bxPZ9zhoF9YB1VVNTS/SYAEnEUgHnekdUU7VKB0/jIsKXFfVOL634M4oJ0yp+fiKtmCN7a0R8qvfoEoB4GmmDiosVlVEnAmgSjEdMrEs0+1R+OKd/DS8BmYVXhU66G4vt2IF5Z/gJ80MDvxWs9bkNg3G4WuepIqL0DOlBUo6NYPDzjIxCW0GlRVVVXVExtvIwESIIEIIlCK4u2LsWb+Omw4JMaum5D0xCg89WAFcn+dhbyBjyO1SRyS/vj7C4sa/a3aWXz35gPoNr0NRv1tDjLinTKP6zwniom/zwvjkwAJkIAhgbP4bv1kPHfNE5jbpaWjTFyCg2Ji+FDwJAmQAAmQgD8EOGbiDy3GJQESIAESMCRAMTHEwpMkQAIkQAL+EKCY+EOLcUmABEiABAwJUEwMsfAkCZAACZCAPwQoJv7QYlwSIAESIAFDAhQTQyw8SQIkQAIk4A8Biok/tBiXBEiABEjAkADFxBALT5IACZAACfhDgGLiDy3GJQESIAESMCRAMTHEwpMkQAIkQAL+EKCY+EOLcUmABEiABAwJUEwMsfAkCZAACZCAPwQoJv7QYlwSIAESIAFDAhQTQyw8SQIkQAIk4A+B/wfa+khLBweqoAAAAABJRU5ErkJggg==" alt></p>
<p>(i) Identify X.</p>
<p>(ii) Identify Y.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The number of lines per millimetre in the diffraction grating in (b) is reduced. Describe the effects of this change on the fringe pattern in (b).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>-3;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) anti u (quark) /\(\bar u\);<br>(ii) W<sup>–</sup>;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>principal maxima broaden;</p>
<p>secondary maxima appear;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> Many candidates knew about the idea of strangeness, but did not assign a numerical value. </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> Was reasonably well answered. </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> There were almost no correct answers. Candidates clearly need a lot of practice answering questions on the diffraction grating. </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about atomic spectra.</p>
<p>Diagram 1 shows some of the energy levels of the hydrogen atom. Diagram 2 is a representation of part of the emission spectrum of atomic hydrogen. The lines shown represent transitions involving the – 3.40 eV level.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: center;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that the energy of a photon of wavelength 658 nm is 1.89 eV.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On <strong>diagram 1</strong>, draw an arrow to show the electron transition between energy levels that gives rise to the emission of a photon of wavelength 658 nm. Label this arrow with the letter A.</p>
<p>(ii) On<strong> diagram 1</strong>, draw arrows to show the electron transitions between energy levels that give rise to the emission of photons of wavelengths 488 nm, 435 nm and 411 nm. Label these arrows with the letters B, C and D.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the lines in the emission spectrum of atomic hydrogen, shown in <strong>diagram 2</strong>, become closer together as the wavelength of the emitted photons decreases.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p style="text-align: left;">\(E = \frac{{hc}}{\lambda }\);<br>\( = \frac{{6.63 \times {{10}^{ - 34}} \times 3.00 \times {{10}^8}}}{{658 \times {{10}^{ - 9}}}} = 3.02 \times {10^{ - 19}}\);<br>=\(\frac{{3.02 \times {{10}^{ - 19}}}}{{1.60 \times {{10}^{ - 19}}}}\);<br>=1.89eV</p>
<p style="text-align: left;"><em><strong>or</strong></em></p>
<p style="text-align: left;">the photon of wavelength 658nm is the longest (in the emission graph);<br>therefore it has the shortest frequency and lowest energy (from <em>E</em>=<em>hf</em> );<br>therefore it arises from the transition between the –1.51eV and the –3.40eV energy levels which have a difference of 1.89eV;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) see diagram below;</p>
<p>(ii) see diagram below;<br><em>All three must be correct for the mark.</em></p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>at higher energy levels, energy levels become closer together;<br>the energy differences between higher energy levels and the lower level (<em>n</em>=2) become more equal;<br>hence the difference in wavelength of emitted photons decreases / <em>OWTTE</em>;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A student pours a canned carbonated drink into a cylindrical container after shaking the can violently before opening. A large volume of foam is produced that fills the container. The graph shows the variation of foam height with time.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time taken for the foam to drop to</p>
<p>(i) half its initial height.</p>
<p>(ii) a quarter of its initial height.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The change in foam height can be modelled using ideas from other areas of physics. Identify <strong>one</strong> other situation in physics that is modelled in a similar way.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>i</p>
<p>18 «s»</p>
<p><em>Allow answer in the range of 17 «s» to 19 «s».<br>Ignore wrong unit.</em></p>
<p>ii</p>
<p>36 «s»</p>
<p><em>Allow answer in the range of 35 «s» to 37 «s».</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>radioactive/nuclear decay<br><em><strong>OR<br></strong></em>capacitor discharge<br><em><strong>OR<br></strong></em>cooling</p>
<p><em>Accept any relevant situation, eg: critically damping, approaching terminal velocity</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quarks and interactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how interactions in particle physics are understood in terms of exchange particles.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine whether or not strangeness is conserved in this decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The total energy of the particle represented by the dotted line is 1.2 GeV more than what is allowed by energy conservation. Determine the time interval from the emission of the particle from the s quark to its conversion into the d \({\rm{\bar d}}\) pair.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The pion is unstable and decays through the weak interaction into a neutrino and an anti-muon.</p>
<p>Draw a Feynman diagram for the decay of the pion, labelling all particles in the diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>exchange particles are virtual particles/bosons;<br>that mediate/carry/transmit the weak/strong/em force between interacting particles / <em>OWTTE</em>;<br><em>Award first marking point for named bosons also, e.g. photons, W, Z, gluons.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>strangeness in initial state is –1 and zero in the final;<br>hence it is not conserved;</p>
<p><em>Award <strong>[0]</strong> for unsupported second marking point.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\Delta t \approx \frac{h}{{4\pi \Delta E}} = \frac{{6.63 \times {{10}^{ - 34}}}}{{4\pi \times 1.2 \times {{10}^9} \times 1.6 \times {{10}^{ - 19}}}}\);<br>\(\Delta t \approx 3 \times {10^{ - 25}}{\rm{s}}\);</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p>diagram as above;<br>correctly labelled W<sup>+</sup>;</p>
<p><em>Allow time to run vertically. Allow particle symbols. Ignore missing or wrong arrow directions.</em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about fundamental interactions.</p>
<p>The Feynman diagram shows the decay of a K<sup>+</sup> meson into three other particles.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify particle A.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Identify the interaction whose exchange particle is represented by B.</p>
<p>(ii) Identify the exchange particle labelled C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the concept of strangeness applies to the decay of a K<sup>+</sup> meson shown in this Feynman diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\pi \)<sup>- </sup>/ antiparticle of \(\pi \)<sup>+</sup><sup><br></sup></p>
<p><em>Do not award mark if sign is omitted.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) (electro) weak;</p>
<p>(ii) gluon/photon;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>strangeness is not conserved (in interaction B therefore it is a weak interaction);<br>strangeness is conserved in interaction C/in strong and electromagnetic interactions;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about particles.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Σ<sup>+</sup> particle can decay into a π<sup>0</sup> particle and another particle Y as shown in the Feynman diagram.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Identify the exchange particle X.</p>
<p>(ii) Identify particle Y.</p>
<p>(iii) Outline the nature of the π<sup>0</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The π<sup>0</sup> particle can decay with the emission of two gamma rays, each one of which can subsequently produce an electron and a positron.</p>
<p>(i) State the process by which the electron and the positron are produced.</p>
<p>(ii) Sketch the Feynman diagram for the process in (c)(i).</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Discuss whether strangeness is conserved in the decay of the Σ<sup>+</sup> particle in (a).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>W </em><sup>-</sup>; <em>(allow W<sup>+</sup>,W boson)</em></p>
<p>(ii) proton;</p>
<p>(iii) π<sup>0</sup> is a (neutral) meson;<br>π<sup>0</sup> has integer spin/is a boson;<br>π<sup>0</sup> is unstable;<br>π<sup>0</sup> is its own antiparticle;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) pair production;</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>single vertex showing photon and two correctly labelled particles;<br>arrow direction correct for e<sup>+</sup> and e<sup>-</sup>;<br><em>Allow time axis to run vertically.</em><br><em>If Feynman diagrams include the meson decay, only consider either </em><em>gamma’s pair production.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>strangeness is not conserved, changes from –1 to 0;<br>weak interaction does not have to conserve strangeness in decay of Σ<sup>+</sup>;<br><em>To award the mark reasoned answers are required.</em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the hydrogen atom.</p>
<p>The diagram shows the three lowest energy levels of a hydrogen atom.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is excited to the <em>n</em>=3 energy level. On the diagram, draw arrows to show the possible electron transitions that can lead to the emission of a photon.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that a photon of wavelength 656 nm can be emitted from a hydrogen atom.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<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 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">energy / 10</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 4.000000pt;">–18 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">J<br><img src="data:image/png;base64,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" alt></span></p>
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">two correct arrows<br>a third correct arrow;</span><span style="font-size: 11.000000pt; font-family: 'Arial,Bold';"><br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for three upward arrows.<br> </span></em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">energy of photon is \(E = \left( {\frac{{6.63 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{656 \times {{10}^{ - 9}}}} = } \right)3.03 \times {10^{ - 19}}\left( {\rm{J}} \right)\);<br></span></p>
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">((0.545-</span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.242)</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">18</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">3.03</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">19 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">J) is the difference in energy between </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">n=</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">3 and </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">n</span></em><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">2; </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 33">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In part (a) almost everyone drew just two transitions out of the three possible.<br></span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 33">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In part (b) many candidates were able to identify the transition. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quarks.</p>
<p>An interaction between an electron and a positron can lead to the production of hadrons via the reaction<br>\[{e^ - } + {e^ + } \to u + \bar u\]<br>where u is an up quark. This process involves the electromagnetic interaction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a Feynman diagram for this interaction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to the strong interaction, why hadrons are produced in the reaction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<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 11">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">particles correctly labelled and interaction correctly shown;<br>arrow directions correct;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAvQAAAFICAYAAAA/PGqFAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+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+NzU2PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjMyODwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgpXJgLyAABAAElEQVR4Aey9538XR5bvf4Qkcs45mGyDMWDAGBMcsHH23PHcmbuv+2T/kZ39H3730T64D/buzoYZjz3jBE5Em2iTjAEHcg4mRwV+n/fpri8tIYEACSR0CvTt7upK/enqqk+dOnWq7IachQsEAoFAIBAIBAKBQCAQCAQCgTaJQIc2WeoodCAQCAQCgUAgEAgEAoFAIBAIOAIVIaCPmhAIBAKBQCAQCAQCgUAgEAi0XQRCQt92312UPBAIBAKBQCAQCAQCgUAgELAg9FEJAoFAIBAIBAKBQCAQCAQCgTaMQBD6NvzyouiBQCAQCAQCgUAgEAgEAoFA6NBHHQgEAoFAIBAIBAKBQCAQCATaMAIVZW248FH0QCAQCAQCgUAgEAgEAoFAoL0jUGFhhb6914F4/kAgEAgEAoFAIBAIBAKBNoxARVlZ25DRu3nNvKyU+IaPRMosnWdnbfhNRNEDgUAgEAgEAoFAIBAIBAKBe0CgzSyKLQ48Mtv5ZXbjRq3+bojUi9a3jXHJPbyiiBIIBAKBQCAQCAQCgUAgEAg0jkBFWyHC4u0ZeUdK3yGxd44i9vnztZHJhsbfRtwJBAKBQCAQCAQCgUAgEAgE7hKBikSG7zLegw8u7g59R9XmRq2k8mLvHfR3c6fbm8T+wRcucgwEAoFAIBAIBAKBQCAQCAQeDgIVDyfbe8xVBN5JvcT1NTU1dqNDh5LU3mX13K9D8u8xn4gWCAQCgUAgEAgEAoFAIBAItBEE2g6hF4kvziZA6Ou7op59/XtxHQgEAoFAIBAIBAKBQCAQCDyKCLSZRbESvbv0Pb0EV7mRhL6OQ9G+IdeYf0Nhwy8QCAQCgUAgEAgEAoFAIBBoQwjUY8Stv+Q3amuturradu/abXv37rXr16+72g269I3Q+db/UFHCQCAQCAQCgUAgEAgEAoFA4B4RkMpN7T1GvctoYtuJcHeQlZokNM8WuiotPG5wJSdpfHKcFhe+ZothO9iKFStsyJDB1mvR81ZRXmEVFeVu7wZTliWnNF2nnpxJ/2aypSBxEggEAoFAIBAIBAKBQCAQCBQRYNWm89acsGZ8UiGcT0Io4ZY6ZETVj5zWuuGW7Hbisx5E/kTNlEuSIRfPQYHv3z24nWL92bFQI9vxdnNioCZ/8A4dyh0EHslBUzhchhUDgBu6X2MdysutXH/Hjx2zjp06eohyRwegMpv0Jax1t5YL/B3NYPRgGi4QCAQCgUAgEAgEAoFAoHEEMr0P+CM0MuOhVpbzSWenOUeVYBz2Cb8tk8Ca8LBN+Ce03bmp+2PIpTbnulm4LGTjZbibO828KJbxTPaAtxRCvLpMgPCAVVU1TsqT2cnaGoGhhy1FFii1EH+F7VBPTx7A8AM+I54GBMTLCP8NpZtZvqmpyV4CYcvKbg4gbilXeAQCgUAgEAgEAoFAIBAIBAL1EXDeKpoplg6/RZNErDMj6fKDe0rmTgB5wl0JpFP9eZw8DJy2rAzCz139EKCZXbMS+vxxs4euV1Aemn8d9DQ+glGoGki7S+iT+cls9FIjSXy5JPZlkHGlU1VV5aTd/QQOFm46VXay8spKHyCQBry/prZahL6jzssVq1p/jIBIwaHVMVwgEAgEAoFAIBAIBAKBQCBwJwTEH8UhYZFQSefu/ODHLb+jm3iRlDzhuu7vYTLW7mrmIvHOVfPEsoFA83JT7RTrxaAo9+myUUujifCgkqgjoUdFprq6xol9h1yiDgl3/XcVp6KDiiWJfbWIO+R97769dvz48SxpxSeNI8eOaEHsNVu3fp317NnTN5niWUaMGG6DBw22Ll26+ABCCWWDBmYAwgUCgUAgEAgEAoFAIBAIBAJ3QABiLrrpXJIj13DTjLjnBD/nlq5eIw6aaZ5kcbL4HlFRJHXukCnxZDJmOGnz8lJJ6Js3wdvhg8S9XKj4mEQgQNZrAUD+kHn8+RMiTtpTWh07dtSi1wpXw0kqOEjeO2ghbMeOlVaJpN6nM8oUrtLKFRbHoKGykhkBn+NIycUxEAgEAoFAIBAIBAKBQCAQaBQB56Pw95wnO1sW93QpPEf9g4um63Re8idl3cfVSKCdqYCL34r7sh40k9L77Wb5aVaVm9uWCCKvvxqZnLxw8aIdOHDAduzYYb/88oudO3fOJeqjRo2yadOm2dixY6179+6yXpMtgB04cKD17t3bk0+AcX/AgAH22GNjrW/fvk74MWeJZJ5Fs7wIjoRPcW5bvrgZCAQCgUAgEAgEAoFAIBAIgICL5TNC7uQbPuneGZ9N3DIReo7F8wRiIvKeBp45yU/3m+vYsoSehyuUFJvxP/30ky1fvty2bNlihw4dsrNnz9rVq1ddt75X7162evVqmzlzpi1evNjGjx/v6jmdO3d2og4oabEsxB1/yHwvqdy4vn1O3pnySFJ5wiepfqEocRoIBAKBQCAQCAQCgUAgEAg0jECReIvPnjl7TkLon+3EiRPWo0cP56j9+/fPhMg5mYd/wjtPnTplP/74o505c8YGDx7sYVEPZxBAmJZwzU7o0wiEhawQ6SQlv3T5sm3+7jv7r//6L9u5c6frxPtiVz1VUpe5evyqnTx50vbv32+XFf53v/udjRk92p8bEBgt+TGPQ9pMW1RKJYd86xN3By7UbRy/+AkEAoFAIBAIBAKBQCAQuHsEEBIfPnzIPvroI9u6das9/vjjrknSR9ojiXvCQ2/kZH3Xrl325z//2fbt22cvvviSQfx7SLPE7ytMS1D6Zif0iXCjLsO0AmT92rVr9uPu3fbBBx/Yhg0b/Hq0iDqS+IkTJ/pI58KFCwYAmzZtcnWcZcuWOQC9f/Mb69WrlxN20kvEHb15HGYs04Cg/itKg4v6/nEdCAQCgUAgEAgEAoFAIBAINAUBeOZhaZXsFpdF0wQNkk6dOtVRn4Gkw4Hhnj///LP98MMPdkx7Jr28uIPWe2rfJN3zRbMK1xL8tNkJPYXkgRjNAIBK7VMO7OwKmcdv9uzZ9sYbb9gTTzzhKjOVWsiKqcpZs2bbaBH99957z0c1qOVA+qdMmeIjIAcqJ/CzZs3K4uYLYl1vPs/bX47OAS9cIBAIBAKBQCAQCAQCgUAgcDcIJHJOHFTDD4rQY3GRnWBZ29mnTx/XQklpomIOByYsknnUbVANHzpsqHXr1i0LBi9VmMSVU9zmOGqn2KKW+30kmZNnL2SeDOdI0A8ePGhr1qzxh0Mi/+6774q8z7LuekByd2m+jjxwVdUzPgI6cuSIq94cPnzYJk+e7KMbrOIAMEcGBajaABZkvuTy5yHdsuZ6tlLicRIIBAKBQCAQCAQCgUAg8EghkATABd7opih5SN379ddfpXJz2C6cvyBhch8bMmSIdRH/TOo2CQt479GjR13PHu0UJPkDBw7KpPkKBH8txSnkleLfz1ES+mYi9F4wphMwQYlhfVmZkW35E6dO26aNG23vL3u0eLWXLVq40GZMn249unV3cl4qPMXQX1+NeIbIjnzHyo527eo1u3zxko5XrVKmKNE6wgYoefSWGg5gVygPtp+SdXr/FfKeJD7pvJRHnAQCgUAgEAgEAoFAIBAIBAJFBArkOmPF8Fj+wWnNjh87bsdE1K9cvWITxk+wYSL0leKpmeBYvFOknzGBLLDbvj177fTp01Yry4vjxskSYx/tlSTuWlamhJQYh5ZwzahygzRez6RCI5X38urp0DlavWq1Xbp0yU1Lbt/+vZ0/9y/ZYlmFxaVpDUYuVderXJf+6pUr1kkSeEY4GaiCNV/gWq7NqOxGZlverdkUXoQD2kJgtcQLiDQDgUAgEAgEAoFAIBAIBFoDApDuvBwQdPFLVMWPHT9mp0+elhWXGzZy5AgbPGSo74OE4BgKqhWjzoGrb9TIguNh+/X0rzLaUqawI60XC2fztMrZYMqJfcZ/m/OJm5HQi3ar8DwR5QWEqqprdlQ7uv6y5ydhUGPnzp+1jRs32NYt3+laDw9u+mPkgmNAwBAHYo+JSyfrugZbdpRloygWFLiKjaIUp0N8xAObx3G4kY2WuCSPcIFAIBAIBAKBQCAQCAQCgUDjCDiBzG+j+1HjVhdPnjhu5y6ctS5dO9ugIQOlcdJdXJSNS+GYOZlV6EvaZ+nESUnyr1w2LOAMHjzIune9qZECTc10WMgCcprz1jzH+zlUJA58P4lkcbNCSU7vBJ3nQ7p+XKMaFgi4VF0Fx5qN55ljlvJnW1wIPUQfVR1IfYUk8l3ZKEqEv1a7bKFrjzTfnY7l+mPklIh/giVPus4jpWh1POMiEAgEAoFAIBAIBAKBQCAQEAJw16Q1kgFSZufFW0+dOGkXL11005N9+vS1jli4gZBLmozaNyL4MhH88+fP2UnZoK+qum7Dhw+3/v208WllhWuYwHMJmvHY5iXzlLWCojSrKyt3kl0lafq169X+V1HZybp262Hz58+3OXNm68Gk9y6yfkPk3Ym8jtm0hh5Q0xkdKrItcbt26WqPP/G4dRapl8CdCQ0fywAGBN3hcOk+oCq94oPk992reF4ME+eBQCAQCAQCgUAgEAgEAu0SgSTsdSIPAvBFCYqdZOqC+2yAelSbSV25cs0Ga41n//793CiLGLy4a6ZVAi9FcH3i5Ck7KfJ/7dp169d/gPXs1dfKtQY049pKTFwVKzkZB25eyJtR5SYrmEvM9WAVegAod7UWBSBt7y6D+k8++aS99NLizB5nNgxyIp9GQz5tUXg+/DvKLCWbRwkGdxmZB2T0liDy6U4hYpwGAoFAIBAIBAKBQCAQCAQCt0EAGulOJ77pE0c89JOf2dlz591KI1wWkt6374BsQaz4J1w0mU2vqqp2q46nfz3jaQwYMED7LKGak0noM46rOKSc8s1yb5bfZif0aeFqKjiG9yH5qN+wMyw7ZVVA0l1Cny024EkABXWc7du3u/3OLpLKT5061cY+9limUsPT5+ClJy+R+uQRx0AgEAgEAoFAIBAIBAKBQKAJCLhIWNwSfs05pD6ZPEedG96KyUr4KY6NTrt16+ph4bas60zuhKT4O3bscJOVCLWHDRsmYXYPJ/wlvppz2RSnOY/NTugpHGSev65du9qgQYOcrDNlwXa5x/XAQ4cO9UWvhMEcJYtbsYLzxRdf2H/913/ZyZMnbcaMGTZhwgS/h5V5gM0GCdnjF88zn/gNBAKBQCAQCAQCgUAgEAgEmohAgZAjNC6JznUOz0TLBBOUkHoE0f3793dS75ojhMmzIdyqVats3bp10qM/71op/fr1M4TTPlBQWqTtxlyKeTaxmE0J1swK9JmknZEIoxY2fcJkz7Rp07ws27Zus3//93/3LXGZuqiUpP7S5cv20y+/2AcffGD/+Z//aTt/2OkS/SlTptqIESN8ZAOIAEK64QKBQCAQCAQCgUAgEAgEAoH7RQDS7gLi4lGJ4ocxluvShT937pxdEVftpPWgvbWfEvskwXFvSBfeFOb82XP22dJl9tmyz3xTqWqtHx2knWQHDhjoPLgkkM65MWm3BJ9tVgm9g5IDwUinVqT9ManMvPPOOz4Fwe6vH3/8se3Zs8fGjBnjox0k8/v377cDBw74QoIuXbtIz/4le+65edazJ8b48zGH0mMaJI2G7vclRvxAIBAIBAKBQCAQCAQCgUAAbumS9AIUmFRHXfzq5SuZsRep35yWBZsLksD3laWbS5fO217x2a/XrrVVq1fZgb377PKlyxoN1Lq6Td++WhBbtM4oDltnFqCQV3OcVjTbjlUuPNeIRaMVUKnS9AOjGHaEffrpWS6Vf/+9v8ow/ynbcH6Dfbtxk9RotDpYOkhVGgFdk9353rLZ+dvf/tZ+/7v/aUOHDVUySkjPnwYKZOHZ6Ai19/vNgUKkEQgEAoFAIBAIBAKBQCDQvhCQsBhX/M2IZwZDJ3hsjx5SnelqFy+csA8/+tjWrFljlVofin49hP/K5UsK09NmPP207ZHGCRtLPfbYWGNRbMeKSh8MdJBFSSw13mA/JVTIJd1PfDbL6f5/m09Cz/CGaQQvaK1ValVvdXWV6wsNkM7RH/7n722gVgcvX748WwUsnaTr2hW2m/TsB0rPftKkSfbCCy/YM7PnWO8+2lVLpi1xbj5IxzQ94TJ68pLzcyESxD7DI34DgUAgEAgEAoFAIBAIBJqIAFJzORcS5zzWr/281jp26WSTJ0+2sY+N0e6vp+3U6VPSqT+VxzHfK4n1nq+9/prUbY7ZTz/+KJOWlTJvqQ2lunXzcKiYY4IePlujAYQT7ySt9xDN8yM79Dk7vt/0CskgeUf3yHGSwJ6HGzJ0iL3zm3ds7rPP2lGp3pyRWZ+a2hq3Md9fCwcGDxksc0D9rWvnLmmo5Co7rj/PCEp/DoqOrrukxMnStet9mKOfHKCammqF0R0NLqo1gsIGaFYYJZOr8BCGgQALG9KgoQSBp1e6ipNAIBAIBAKBQCAQCAQCgVaOQH0BrzPFnJ8iGC5pfORcEG7ofvk9wosZilzqrFam0yVhn/bUNA8zTOs6137zjR08cNB14ydOmmjz5823mbOetiFDhti//eu/+q6yI0YMd+MvlZ06Cq0b2gQVAXVmex74Uhm8bHg0kyurra4pUPH7TBXerX84CuyFhmTjp/+csZkUiwyyHV4zTwg3C2Q9Zh6cNJJUvvQSHPBaj8tusqwqxnrOKY2aMPTfuxeS/aRzb7qfLbxVpp5W9tKyMnJOuj6joDJ54cg0XCAQCAQCgUAgEAgEAoFA20TAyeRNrodlGRFHN0lZLt4nnm7ivuJ/2cJWdoD9afdPVn2jxiZK2t4LLqkwTuzztK5cvSqyfskuXbzkm0ZVaANUNj3tLi2TTjIAg678r2fP2MVzF6yiU6X179NP9zuTSMklflzyaOaTimJm9502QDmB1zMIDf8nP5wTaD/rYJ3zRQKJqCMhh1gnAu/EO4vkMXwU48lkKj1I5WtEwtFH2rBpo3380Uc2atRoW/LqEhs3bpxh+x7dJkxiprjpxZEMu84qs5zDM4KQ4+3lZc884jcQCAQCgUAgEAgEAoFA4KEjkHNJL0eRqyX/ol9eWLgeDA8Bcq04I3rrqLzgKqQWjpbI0WNHbcWKFa4OPnzYcKnJdNfurr3ECdkFFsGv64FIIt/JOnfs5IthPQEYrpJy3qpjjbRS+msRLKYqsXxTlvPcJIVP/DaLm/82UOY69+/yQio3zeMoLH8lMl5INvml+8AJwDj8XO1FD+aqLyCUu2LZUlws5yCFR0JPGugu7R4/3l/Grt277H//7//tNuyxgQ/ahCWcDxpIN/fjmvSzF3ZrnuSXBc+OqbzuGT+BQCAQCAQCgUAgEAgEAi2GgLOvAicsZZT8ioQ4+ZUC3TxJlmbgg3A+1LcvX7lsP/zwg/3tb3/zzaAef/xxe/W1V2241GVKTmk6F1Qc1LjNN0XiLpJ9kXbdZ6Ag6bLUalDTUYnhshUuznbhMWe3c0Wee7twTblXJqLabOklEpwIfP0CJAAyNRc9tB6cOPxxnq7rx0vXKf3rsoiTXhCS+LOyEbr8q6/sww8/9E2p/sf/+B/22muv2ZDBg53AE9ad8nBXeEn4pJec3az7m/Js7Jnqho6rQCAQCAQCgUAgEAgEAoEHgkDidWQmblffJW4JiUdN2/c/krn0tTI1yf5H7O46d+5ce+WVV6TpMco1PDp2lJ35nPwnXlr/2rPTDxwy8UTyIDxhk1/98rTkdbMS+tsVNI20GiTGkPkCKI2lk4AFKF4Mi2Mxe4n0/Kr0m7Zt324f/v3vPuqaMmWKvfnmmzZ16lQ3OZTAdWl9AfBUnnQ/5Z3803UcA4FAIBAIBAKBQCAQCARaCQKQ+QZIPKVLnA4uB9GG+8Eb9+3bZ19++aV9o8WtmKNk36NnZawFm/GJiFdgSEWO68Yc6ZNuyqf+8WFwyJYh9I2AzAMmYp8ePoF124fP0/M4OuelMADAufRdfujuQ+rZ0evLL760v7z3F+Ol/OM//qM2qXrOusl8ENekwYvlmNIjnZSe++FRdHn+Ra84DwQCgUAgEAgEAoFAIBB48AgU+WQx94a4JH5ocyD0/c//+A/7UaYlp0+f7kJf1La7d+/uXDIJfJMGCNe4El/UeVLXLvoRJvFK7uNcou9nD+6nWQl9IsMJ0ETe07XmInzxK4+HX/JPwKTrxh6fcGlE5COnnGgTz++J6FdrxHRZW/SuW7fO/vKXv/g2vC/Ivv0bb7xhI2RyqItWJae8KR/x0OFnkODlIPOc7HN9pzI1VtbwDwQCgUAgEAgEAoFAIBBoZgTgj3mS8Dg/L/iVeJv80OI4efKkrVq1yhe/shHUggULbNGiRb6bK0ZUkityPs6TK3HGnBuKGJby55yFs0iriwOAFPdBHsu0s2vC5UHm2+x5sZo52ZznCLH/RTt2LV261F/i8OHDDd36p7WTF6MxdKQg8cn5aEovhiOv8aa9+hofuZUqSIpQ79hsO+7WSzcuA4FAIBAIBAKBQCAQaIsIuFXB+yg4xBqinDhaIt0Id3FI0106rnPILJL4FJbzn3/+2T755BPbtnWbL3hFxWbatGnWp08f16cnbGPOKX0bYsiPDqHXG6mVCSJUb3jBkHVeMmo4vMz33nvPTp06Zb///e/t7bffth49e7pZy86yH8qIDROXkPj0crGmQ8XBj7Rctaexty7/IPS3ASduBQKBQCAQCAQCgUC7Q+B+Cb2TdXGxEjcTr0vS83QPUF2KrntwQMKifv3111/b+++/b2fOnHHV66SpgVSeMCmdxl5KEPrGkGlhf4xQ8nLL9ZIYUPFyuealQeq3bN1q7//1r7ZdOlSzZ8+2JUuW+IJZXiyrnt0pjt5wqaSpAuEREvoSLHESCAQCgUAgEAgEAoHAHRG4X0KfSDd8Dpd4WeJkrrOO8FV/hIHv7d+/31avXm1r1qzxHV0XLFho8+c/55YPUbEmLEyP89u5Nkfom3Wn2Nsh08L32DiqKteDL+rZ89KTfvzRo0dt2bJl9vnnn7vE/Z133pEu1ULtCtbTsFtPZYDcE4c/XnoN0nlJ71Plaegx2tpLb+gZwi8QCAQCgUAgEAgEAoFmRUAE6V61VuBWSUCbJOrwNPgYPA9LhwhhOaJmfUnmKL///nu3LY81mylTp9iLL7xokyZNst69ezvvI25St06LX9Ogof5ztzVuV/aoEHqWKCT1GF4KFm2wV8+LStZtUK25cuWqffvtJvu3f/s3O3z4sNseZRoGHftO2B7NR2y8SOJ6RVQFoNI05traS2/sOcI/EAgEAoFAIBAIBAKBZkNABOl+CD3cCwIOj4OM8+dSes5VyETQT58+bRs3bnTb8hcuXDCMobz44os2ZMgQl9ITh8FAGhh4Gnn8xp61rXG7R4bQs0MXBBzdd3/hEHOIOA5inp/zEiH2jOI+++xzJ/ds1fvuu+/aU0895aM4XmJxcECc2+nQt7WX7pjETyAQCAQCgUAgEAgEAi2JwH0QeoqVuFsqImrVWK5x7QnxvCtSsdm9e7d98fkXtnXbVhs4cKAT+ZkzZ5YWvpbi5gJbTzMfEDQmnSdOW+N2ZSLA9zp4Shi1iiMP4YS+MALz0RgkX36Qel5OGtHhd+zYMR/R/eu//quPANmIir+BAwZ4hYHEp6kcFs2GCwQCgUAgEAgEAoFAIBBoeQTga0mqjooNRDypyaA7f+HiRdu0aZOr2KBSjRVDdnwdO3as7/hK2DpxFD/xwBKRz4W9Lf80LZ/Do2PlxodSNwHjJZZeWO7NdRqZoW/F+ZUrV3yTgf/3//6f7zDLglms4LDZADpXSPMxcVk/rZs5ZWdh5aY+InEdCAQCgUAgEAgEAu0ZgftdFCui5gLZIrFHnfrQoUO2cuVK++qrr6Qu3cleWvySPf/889a/f/8S6Qd353w6JoMpidCjeZHuNfZ+nFYyqmgj7pEl9Lfgn1eKROp5kfxxzciPBRRffPGF261n86lXX33V/3rKvCVhIPUlRzxVBjdtSaWQKX/XxyIPnNcC/aTrzDd+A4FAIBAIBAKBQCAQaDcI3InQw68g6xz5w5X4mc4RviJpT8ZNLkoqv23bNjdwgo35cePGOZHHtnyPHj1KVgs9LTiY0iQ90sDhz3VTXBD6pqDUAmHuVGlSlullUoESoccPSfy1a9dt166d9i//8i9O8NmA4PXXX7fx48c7oa9QhUB3i/AQeNJQIk7ukdB7JVENcOUeheFeuEAgEAgEAoFAIBAIBNojAk3hZnAqXOJl8Cv8ktAUoes1SeXPyp782rVr7e9//7sbPWHRK1L5IYMHW8dOnUpkPcUvEffE0/J8PDP4WfHaPev+BKGvi8cDu7qbSsNLTn9UGn9pVB4RdEaBv/yyx/7jP/5kO3bssKFDh0kF5y2bMWOGIa1npbU7pZFWXkPyKzpkuloklqf4wJ49MgoEAoFAIBAIBAKBQKC1IXAnbgbvQh2GDaESF+MZEkdj8SsLX7Etj3rN+vXrrW/fvq4rj4o05/A40nDNCQStcpB60iim6Tfu4sfjtiG5bPtRuclfIi+el6yfzEfXyXEPST2jQXYZW7Fihf+dPXvW5s2b5yo4Q4cO9SmdNBBwM5deafJ0lQZJBqlPqMYxEAgEAoFAIBAIBNojAnci9HApOBcEHCEp/Ixz/DjHtjzmKJcuXWosfIXEI5UfL1Wbbt27O5kv8bomAkz45JwPpot6xyD09QB5UJd3qjR3KgejRF4y0zqdNXXDqBByv0vmkP70pz/Zzp077YknnrB/+Id/sJEjR1pP6Wqh28VGVLx0CDxWUTmSTrHC3CnvuB8IBAKBQCAQCAQCgcCjhkBTuRkEPvEw+BM7vp48edKFqp9++qnrwLO2cf78+dKcuClYBS9IuQ8E4F65ZJ7r++VhQegfUm28U6VJL7ax0Rj3MYPkFUoVoqqqytVrsIJDpWKHWST2nTt3tsWLF9vcuc/YiBEjS4s1Sio3ev6kv/WQoIhsA4FAIBAIBAKBQCAQeOgI3ImbORFPEnlxMK4v5ju+Ll++3LZu3epmKDFHyV5BPSSVd46lOPA2zpMjbuJ4ifOle/dyDEJ/L6g1Q5w7VZr0ctPLrp8lLw4lHMwhJdul6MszaoTcX7hwURVri73/1/ft0OFDxorq3//+9zZmzBjDRn2KQyKlylY/k7gOBAKBQCAQCAQCgUCgnSBwJ25W5GRwLXZ8xRzl559/7lJ6JPLPPfecBKgjrFu3bk7iEbzCz1wQKxKPSxwvnTu5R/OiQPg94F38BKG/C7CaM+idKo2GbU7Ysx9evnL3Hx3zUV1aUFFbg/pNRsypOB204PXadenWV9fY4SOH7b333rNN0ukaOGiQvfXWWzZ9+nTrp4UZ5QqHo2J5JVK6xUrmN+MnEAgEAoFAIBAIBAKBdoCAMy/nWiLecO9652hGIAS9cOGC7d27z5avWG4rV6y0fv37+Z5Ac+bMse6SyneUejMk3cl8fg6NIy4LarmHtcGycknsdZ7lo1OZFZcmNP8bcI3e8LBtbX+hstrqR2On2Abe1F15FUeJDUV0W6iqONeqrtuZX3+11atW25fLv7JLqoTPPDPXMHE55rHHvNIRHyKfDQZubl5Q1kFEP1Ur1aNU0TqU3QzTUN7hFwgEAoFAIBAIBAKBwANHAK5yH5neuKEFr/AhEilIzG/cwBqNEtfh9NkztnH9RluxcrmdOHHCJk2aZAsXLLCJkyZbL98LqIPSIDg/4RpDoEzS6Pt5V42l++j4M9KTSyNDTCNVacHs5SuX7ecff7a/f/ShbdcmByNHjbR3f/uuPf7E4zJv2UuVV1J+xSsvR22n2tPIpogg79kCXCpz8dwDxU8gEAgEAoFAIBAIBAKtBYG74NFJOJqORJVcXWwnMxyC9BxaVSvqeV0C0pMnT9kyLXpdIal8165d7YUXXrAFCxZar949rUvnLq7S7EQ+yPwda8MjY7byjk96nwGSWaV0xLxSVXWVHT1y1JYuW2obpILDbrJsdMAU0dAhQ6wiTQupIhLPLeLonIru00QarVKzOb+vIfB9PltEDwQCgUAgEAgEAoFA4BYExMjvRepbIvTiPGgrJPVjuBPnZyWVR8XmC+nKb5VQdMyYMa7pMEMqzN1lRRBeRDj9luLeUrbwqINAEPo6cNz+ggrKX01tjVVI8l4tnfpaTSf9qt3LtmzZ4lZwDhw4YJMnT7aXX37ZJk6c6FsRE8crZl5BOU+V3XPkvv6FCwQCgUAgEAgEAoFAoNUgcBeEHm6Dq8NvdA2hT/7cO3b8uNSWVzlnwjwltuUXLlxoo0eNss5duuQqOhJ2Kr20NtETiJ/bIhCE/rbw3LxJhayvE8/dRM4vSQXn8OFswez3339vAwcOtFeWLLGZ2mG2d+/eHq6ivDyTxueVPqXun8C9DIFTAnEMBAKBQCAQCAQCgUCguRG4C0LfeNZoKUhV+fJlO3LkiH388ce2bt0650Zvv/22zZo1y4WfaDEgmU87x6LZgEnwNFBoPP24AwJB6JtYD9IIk4WtvpgV8HJJO/ryrLJGfea4FnSsWbPGVmn0ycZUWMBZtGiRjdLIE/0wzFsSTpGznHXulTUIfRPfRAQLBAKBQCAQCAQCgQeCwD0Q+pKEXvwGalNdfcPOnDlt3333rUvljx075rbllyx51R5/fLJ10maeScUGPuTsSEd4V7mMhoRrGgJB6JuGkxN2KpkTeufjEHvphUHwqbG6SeWjIp87d86Q0q9evdp279pto8eMtnnz5tnMmTOtV69eGalXlCTxZ1qpvpKak3yFCRcIBAKBQCAQCAQCgcBDQeBWelKnGHAe/hSsJKgsEXp5Xb923fbtP2ArV6209ZLKs9bw+eefFx962oZorWHnTpLKS9CZ4iD0hBuRXgg7AbXpLgh9U7ES6c4IvKzUOJFPo0ZVZgwFYZKSMKrYVEak85hfYqczNknALZEKztNPZ5W4XJsiEA7bqlRcTFd6fAIqDXcQfbns10/jJxAIBAKBQCAQCAQCgQeDgAhIzkgazA8ewx+8hf13EjEn8Pnz523Pnj1SsfnUfvjhBxszZoxlO75Os67aJIpNOUkdoabnoTQg98mRVluzBZ/K/jCOQeibCXU2tkqEHsJfQwWXO3nypH377bdO6s9o8eyECRPs2Wef9YWzqOAwzeS69RD6zNCqfxBO4iH0VOic2DdTUSOZQCAQCAQCgUAgEAgEbkUA8iF27WQ6EW34DSG5FifBpfuco+vOH1wFToMlm6NHj9r69ett7dp10p2/YtOmPSnuM0+qNo9J/bibwpEGgtBMwo/ePOnXd0Ho6yPS+HUQ+saxuas7aIpRmV2XXjF9xKojlf7ixYsyz7TXdes3bNjgu54tfmmxzZo9ywYMGGCdNAWF1ph/KP7hZJU6jVgZ9d5aze+qeBE4EAgEAoFAIBAIBAKBWxBIXAOiARfBOafReU7fS2Q7EXrClISY4jkQengPx59//tmWLVtmW7duFccZKBWbF+zJJ6dp99e+si3fmahSPUaaz1lG6JMOPT5FF4S+iMbtz2On2Nvj0+S7XvlFvNMo1cl9LqWnkiO1Z8EsevVfffWVVVVV+cpuTDWNHDnSunfr7hU8m7rKPhQyR2rvZJ/zQmlKH2DBL04DgUAgEAgEAoFAIBBoKgJOyqHtGXN3kk5cOI37ITXPyQf8hFNXrYHX5JnAeyD6qBnv3r3bPpdt+YOHDtqkiZNcxWb8+IkSZHb1MOQHeU8uDQpQu+FcP5lwk3wIlDJJEeLYKAJB6BuF5u5uULWppFTq4gjWU2EYqkrKNNTZs2dtx44dLq1nFDt8+HCbN3eerOE8ZYMGDcoqMx9NTuSzGq1q7WlQwb2K313hInQgEAgEAoFAIBAIBAL1EMgIvTzhGDgohk5dSKmLzDfjMNxKWgiETzrzV65csUOHDrlq8XfffeebaM6Qye65c+dKYDlKVmw6esKYriSNop68Lp3IO7OB0BecX+XFKnjHaSMIBKFvBJi78qbW5aNKPxWxd6m8KnxxsYf7KegVbaRwRDbrv/76a+mXrfUFsfOkV//cgvk2dPAQN+Hk+VO5lUZpgKBLl9fXq/R3VdYIHAgEAoFAIBAIBAKBQCMIQOZljVu0BlVi8RmuE+GHkyheEl5eunTJtm/f7toHe37ZY8OGD7NFixbZ1ClT3M485D2p07gGQp6nS+nztIrFgEMV+VQ+oigGifNGEAgd+kaAuVvvrIJLso7NVGpkPqr0D0OV1r1S5dXRpfUyb/ntpm9dWn/8xHGfnoLYT378cevZs4fS0uhYFnR8GkpJZtNRJJ9PTd1tISN8IBAIBAKBQCAQCAQCBQScohck4c5bckIvebrdyBXZk2oNXOT69eu+mSZ68ix+Za3gtGnT3OjH6NGjfa2g77sjMpSp6mSqNhgMkcxTLlOtkW9eklQA+I3LMt0f7hSuaQgEoW8aTncMRVV0wg1p1x8MHuLt/rqXRrP4c6eWFeH6d/HSRfvpp59cUr9FH0aP7t0NUj/7mWds6NAhLr3n48KsJXGJkwg+KYULBAKBQCAQCAQCgUDgfhBwUq8EMt4i5gJ5kXNy7yci5jm/wSw3Zii//PJL++WXX9y4x9xn5tq0p6a56jA7vuIyyzVZWnCgjMZA5HVTgwRx+ywMZgLlPAxsPtw9IVCmxZr5a7un+BGphECqhBB61VVVSv9AqMQ69w+hBt34bDSaVVzMPdVKWl9lp06dsq+/+cY/kCsy8fTMM3NsgRbMjpL+WWbeEiKf2arPvjSulbl/GKVC6CR5Jr/618k/joFAIBAIBAKBQCDQPhCozwWK19m5E20HI6OFiWD7lW5WSxB5+vRp27Jli61atcqOHDlikyZNMox7cOzRI9MsSClni1/rqh4nvXuIkvMhJ/MpP7hT+3gbLfGUZZoKyZBsidQjzToI8HHg6h+pv0xD/frrr7Z92zZbvWaNfyhDhw71RSVPPvmk9e/f3+3VpwGB1/kGar4PJPJ8iueecfwEAoFAIBAIBAKBQLtDAD4AiYaF+LmOiYsARiLvfi4+UiSG8A3W/mF+e512e928ebPrxbNR5pw5c9y4R5cuXYiKzW7p3Gd5VGjjqGIefj9+WgyBIPQtBm3jCZcqeP5xpZDopzGVxah3w/oNtm79OjdvyQezYMEC/2jYNpmPkQ8MqT/naeFt+iDrfKyQ+waIf8ozjoFAIBAIBAKBQCDQThEo8JDEHVznXbwhcZVzss63bdt2W7V6le3bt89GjRrlwsbJkydbv379sr10cu2DIorJ8l/RL85bDoEg9C2HbdNTLpBuPiA+JqT17DC7YsUK32120qTJNn/+czZx4sTStFb62Fh4kj5EMuU83Wt6ISJkIBAIBAKBQCAQCLQXBBJP4IiQMKnDJP+04+umTZvsG6kEn5Mhj6eeespVbNg/p5t2uydOtvj1JmqJg6TjzTtx1pIIBKFvSXTvIm0n5IWRMtJ6zEFhqx7zlt9//73r0j837zl7etbTvvAkTWcRN5F6Pkok8nyQ/CXp/V0UJYIGAoFAIBAIBAKBwKOIgHhBmrVPxJ2NLzmHnMMhOL8s2/K7du0q7ZnTs2dPQ8UGQj9Ye+Z0lopNip/MUgKXc5k8Da7DPTgEgtA/OKyblFMa0WIFB716VHBYMIu0fo106xkhT9MWyvNls37c+PG+jXKR0JNJ+qDStFmTMo5AgUAgEAgEAoFAINBuEICQJ1JexrmEgfCGM2fOGFL55cuXO/9AteZZWd+bMGGC9e7VyzeGSuo0xK9D6EEvTydxkXYD6EN+0LLamlgU+2DeQXGJCTm6LD3PurBQRR9H2oktfWx8YGnzBj6wPXv2aPe1kT7t9cQTT1i/vv0s6dZnJJ7viV1rWZqCK+aV+cRvIBAIBAKBQCAQCLQDBBqhAE7mIfI5BPCMgwcP2oYNG4wdX1G5mTGdHV+f8R1fO3fuLDIvFRsIO3EUF9ehrDynGVxnmZG2gpWuOQvXsgjETrEti2/TUlelTx9UiuAfWn7h02E6v6pV5gcPHrCNGzf56Bm1nOnTp9vCBZi3HGkdO3Xy0TbfECNjBgYllZv8w0vpxzEQCAQCgUAgEAgEHnEEMn4NKfAHzYj2zXPnGkjlNfu/TVb2Vq1cZQcOHbARw0e4BRuk84MGDrSOlZ1EVETjlU5ZBwxzYJob+g7PKJd0XxdO4m+m/Ygj2+oeLwh9a3glqv+J0PunoA+Gjyx9eJDzdF1VVeXTYezOxqYOJ06csMf1wT2/6HkbP2G8de/a3corskWyKX5DRx9EK1M3g5l/hIRDws9WzXyYXKdptTR1xiACfX3Ki1oQ98MFAoFAIBAIBAKBQAshIGLgBFp9sruMKGT9tHrjMti0+8ElWOAKzb559FjEzbmE99v08UoMTnHs2DGXyq9du9YuX75sU6dOtXnz5tno0drxtUs361CBbj08hCSQvGcbXXoCFEjpOoshQZ37VSor98M9EASC0D8QmO+QiWo/38EdnT4QpO6Q6itasJIWzDKqRq9t9qzZNkc7zA4ZMsQqZf8V559snnj6wIv5+IetD5BZAA+v9CHvPoiQR/owfbGM/Gs0BeeEXuHSQKGYXpwHAoFAIBAIBAKBQMsh4H25SPwNkWsXjUOy82t1zVBvZU7vncJg5lp9vN+Un47M3l8SeWen+m+++Vo7v+50C3qzZ8/2xa9DBg/2WX9SaRpBIWC4h4lA6NA/TPRT3v7FpItbjyXirI8wEXr8GFkjod+qXdtWr1ptJ7V4dsrUKbbklVds/PgJ1qlTZrM+06vPdpmtrc2k6vl3nRF32gR97JB7Rt41NdXZua6RwqcZAh+VUzyVF/9yBg1KiLTCBQKBQCAQCAQCgcC9IJA60YbIQCLnmbCN/jYj5+iuKy8EcnknnPpqT00/nhr39Y8+m7B02PAIDGyw1w0qNpxjEnv27FnOHfr27evr8vxJPLF7eaaI86ARCCs3Dxrxe8wvkXqOEPR0JDmmyHbs2OEr0n/Y8YONHJUtmB03bpxG3D2tc+dOxi5uLJx1NRlUZpROksSn9EgrI/W3NhA0DHzXLtHX0Yl+qNsIiXCBQCAQCAQCgUALIkB/jYANldicwBfXyNGXZ4K7rO9O/TX9PH02R2b24QrM7iMIZNHr+vXrfXDwjDavnDv3WRs+bJj4Agtfyz0fHwC04GNF0s2LQBD65sWzRVJLo+70wfJh4srzDxzzlqxGP3DggLZlXmtr167XdZUN1pQZI+1eUsfp3r27H/v06WO9e/c2bMr26NHDP96SCg1qN2oYaAAScach4C+FIV/Kg8M/XCAQCAQCgUAgEAg8WATgA7jED+izkx+qsRcuXnSTk2xSeVHnWLA5ffq0+x0/ftyl8sNE4FGxmTJlig0YMECz+p0yRR2llfr5lP6DfbrI7V4QCEJ/L6g9xDhOsPUhMzp3Wg255lzHKn3EfLybN39nf/7zX2z37t1OxCH0SOcrKyqtR88eTuQh+BB7CH///v2d/A/USnYPq4+6k8L7h6y8nOBrxJ4GFJSBe/GhP8SKEFkHAoFAIBAItBsEUr/rHEB9MEK8DlKRrZLw7sKFi3b06BE7dOiQ7ywPgYcL8Ic6DVL59IeUvqt2eJ0/f769/MrLNn6cjGmIDyC0w9Gv45JQzy/ip00gkK2cbBNFjUJC3HFMvXVI5zmhh+Czcyzk/Jln5urjPmb79u3zETlEfMSIETZ8xHBt1dzNR+vpPh8xU2yo5HTp3MUJP2lA7JHgc+Rv1KhRPnpPu9Mmazfp44+3EwgEAoFAIBAIBALNiwAEHvKOVB2ijvlqNn5izdyF8+edsJ/XEUs1SOAh7pBx1tBVVnb0mXTucw8pPX32mDFjfKOoyZMmO5lP/Xg6kme4todAEPq29M5y8k6RS6NnPryc4EPcIdw9NNpmGg39OHaaRQrPkdH8zJkzbejQof7R85FfuHDB73FOY0Fj8OOPP7qu3fWq67J+c8NQ0/nHf/xHLZYZ73p4Ke/08bclCKOsgUAgEAgEAoFAa0cgkWqOZ8+etWXLlskSzQ9OypG6I2mnL+7cqbP1H9DfhXkI3hDQoVJLv89AgPV133//vYdHENerZy+3YkN/jqS+qE6b8iztX9PaQYry1UGgIptcqeMXF60RAQbMellu4dVfWlq4mr1ByDVnfJAsaBk9erSPwI8cOWJjx47VSL3Sd5ilEXjrrbds2rRppVXsVderrFqWba5cvmJXr2n0r2m6S5cui+Bf0PTdKY3ob6jR6Ejqjgxr5lld75ZxGGR4zn4rfgKBQCAQCAQCgUDgPhBATpf16CSiBa1V1a5Kc+H8BanK9nKLNH1797HOXSDvvaT/3t96aia9s1Rly6VaCw84JQn++vUb7LDUcBDKsTnUnj17bdz4ccYi2P79+mfqNdnSuXql9Q4+69np4sO1CQTKbtRIBBuubSOgDw6VGyT0fMiMuDnfu3ef/Z//8//5FN1rr73mU3Lr1q3z+3PnzrUFCxa4tL5C4TFJiS16FtpW54tu0c27oum9aknqXbe+Y6VwyhbNwuN9EKHwVhtffNuuQFH6QCAQCAQCgdaIAH06qjK785lz9pzpP3CAbyKJYK1M/Td9PlJ13HkJ4nbt3GUrV66wX37ZYwO12HWEdpLf88vPdvTIMVu85GV7Y8lr1rt/X2O7qDTj3hqfPcp0dwiEys3d4dUqQ/PB84fjk07Eftiwob7w5YMPPvDR/fz5C1xa/9VXX9lnn33mqjWvvvqqzZwx0/XtOkoKTzqdRNyrJRGoqKzwKTmm6TpkBm+VQbYgNuUpY1lqFLLFNF6A+AkEAoFAIBAIBAKB+0Yg9esdZXp6yuNPeP/coVxr6NgNXhtJ0S1j6+aG+miOmKNcvXqVbVi33q5otn3m9Bk2afIk26v1dAcPHbaRWkf3xOTHrXO3Ll42ZgHII9Rn7/tVtYoEyv/4T//0z62iJFGIe0fAyXYWndF2agQ4Z7Er1m7Qo3v88ce1pfMUX+DKRhPbt2+znRrJMwrA4g0mq4jDoKAsT5O0XMeOiRxJAFySr6bD89C1j+5jjufe313EDAQCgUAgEGj3CCRSnfrvBAh9Nf0uEvgOlZLEOwmnjyYE9udr7Nr1675z/KeffGJr1nxtlVK9eX7BQnv2uXneR3/99dd26uRJ2ZqfazNmzLCePXopLimTQrhHBQER+j/+86PyMO32OZxo3xxpJ1KOLn1HkXRWxfNBY7pywoQJhu1ZrN5A4tGx36HNqE7qY4f895ZeXqeOskUrQo8KDo1MWiDjKjZ5Xh3KJCEgDKP7aBLabdWLBw8EAoFAIBBoYQTUz0ogrz5XO7lrV3cc/TGz52d+PSNd+XX26aef+jq5sePG2uKXFtv0p2dYt27dtCB2h639Zq0NGTrEXnzpJRuhjScrO1Z4fLpujGV4F+6SPBJu4I8Mw7V6BELlptW/ojsXEEs0fISJcBPDP3x97F204h2LN2vWrLFt27b5eb9+/ZzUI5FnVTwbUa1atUIj/D329ttv2aJFC1yXvlwWc5JLK+FR5/F8ROb9yBg/JPQJpjgGAoFAIBAIBAJ3jQD9Ka6+hB4/No9Enl6OQE3XCOsId0KCONRnV69e7TPs8xcucEt2COzo3/fu3WsbN23UYOCGPTtvnkH28VfnTUYk7dzhdl14VqosaPy2bgQqUiVq3cWM0t0WgXpfXGoQkNRDwNkBjkWx//f//l/f7nnixIlu9QazVozg+/Ub4Kvgv/jiC/v3f/83LZ49agsXLtRmU4Ncan9d03mYw3T1mrwgKY+M1N+2dHEzEAgEAoFAIBAIBJqAQJGTZf2sOnj6eLFuF6jplEWymLBkPRxmpgcNGuR99tSpU9Wf9/P+HYt2O3futP3799u4cePsqaee8r1lEl1I+aRjo0VTvvlYo9EgcaN1IFD+z38MlZvW8SruoxTpC82TcJLNSF5/NAgQ8b76yPmwv/9+u3aGm+B2a31lvO5hlxY1nCFDBsve7Tn75puvpYpz1Del6N9/gHToOzihT4ttiZcagbSy/j5KH1EDgUAgEAgEAoFAoB4C3ofLD7PSnNOXn5ZZ6eXLl9tHH33kKrPTp0+3l6Ri8+STT7o1ukoJ39g1/seffrKlS5f6XjPPP/+8PfHEEy6gY/Y+OacOd2Drd7idkopjK0AgCH0reAn3XYRGCD3pcgtS31F26GkM1q5dq42krtvkydohTtJ5pu5YNd9Zq+gh76jgII3f8cMO27hhgy+4GSrdu44dO8sfc5j5Ah2p3HDuUnvm65QR+aTGIqnmxNCetxAuEAgEAoFAoF0jADPO2XFScfGuO/fD9HTqPwnn0nkd6UvpX9kk6ueff7b333/fCT0bSGGlDvPTqNiwBi4J2tgoEjVbzFSzDw2EHik+/TVhPF+9DD/P82/s3aSwjd0P/9aDQBD61vMu7rkkt/0eaSSUMsSdD/7gwYO2+bvNNmz4MBs8ZEjpA4fEV8pMJfbmR8i0Feo4HnbzZqngHJf5ym7u11FbSZNglcxauqSei1IB1PhIbx/nVnK81SL/aBIclPgJBAKBQCAQaJ8IFLtB9cvuINf4pz40+bvXzQjsDLtlyxb78MMPbdeuXb5ru5uc1s7vScUGcp7WuqE7j3QetZtXXnnFpfcMAEoEnnwpAMeUN9cNuJulaOBmeLUqBILQt6rXcY+FaeSLY4Tvf0qWIFi8gbgzckcvfsKEib5FNLm6pD0/8uEP1K5yjPr52Ddt2uR6elevXrGhGgiw1bSbr1Sb5JZuROLZhIo8UjreSNBQ0G7RaOgQLhAIBAKBQCAQaG8IJAOR9IM5la8DAbuuY9yC/vr69WuyPKPZcPlVaVPHI0eP2CcyR8kaN6T0zz33nFRsXrJJkya5Tjx9On9J+n727FmpzX7jAwDUbF588UVfR+cbSCYJfU7ineDXKcmtF9F334pJa/UJQt9a38zdlKuRL67YePjHrjTRpWfzie+//14LZcY6ce8sou9h1ZhgBgvzlpVS0enfv7899thjksz3sa1btzixv6CpvKFDh1r37t1vmrtSPDd9lZeZaUMaJzajyv7dzcNE2EAgEAgEAoFA4NFBoNgP0tfWl4o7mZd/TVWV+k3WqJld1cZQP+7+yf763nsyS7neBg0ebIsXL7Znn33Wzzupn6Zfd5Uc0qT/lnrOPm0ihX49g4PXX3tdgrvx1gnpfD0yD7pO6HNyz3VDjvKGaxsI3LRL2DbKG6VsIgJ8qC4cz8ND1PFD7QaLN0zbrVy50u3Sd+3axQk5UgIWwKbFr4RlCm+ezF316dPH9fawZ4/N+hdfXGxPy85t927dPYfqWqngqCFCqtABlT81HnVEEanRUCMTLhAIBAKBQCAQaM8IFEk9M92yLGm16m/pq+lj129YbytWrLRLFy+qr51lC6Urjz58V61980FBPu+d7RgrIZr+nT5xzL5evcaOyqjF01LHeWzsY266WuzehWupT04k3Y/KN103+D6iy24QltboGYS+Nb6VuyyTc+TbfZEKkCzT0Iiw8HXOnDm2bNkyXyU/YEB/l6aXi4Q78RcxJ3yVSwtkBUd69U/PmiUzloNt48aN9sEHH/gGFvv3v+yLbYYNGSqJvPi7WiTX4VOrkfh7akCc3ddrGLi8XbHvEoYIHggEAoFAIBAItHoEvCuk41ZHSR/IDHeNdnzFHThwwD6Srvy3335nffr2tte08HX6zBmaTR8kdddO3scSjjRYs8ZgoFaqONfUX+/dt9+2btuqnWB72gzF6d+3v8KL5pGJZs2LHa7nTCLc4xiuzSNQEe+xzb9DPUD6Km99FqbdIOkYqmJ6jmtUalj1jgQeG/WJfKOfB+GXkD6zYKMPvbycVfY6kY7e6JGjvaEYIFWcDzWl9+nHn9ixo0c1DfiyTZJt+4qKLp4X+nxpCpG2wl2qaCkzysx/D1AKlULHMRAIiS4NjwAAQABJREFUBAKBQCAQeDQQcPLOo6iv0znbREGw3eyz+uXr0pW/cOGiq8L+9b2/2qFDB30h68uvvCwz0+N9rVuFjFaQDCSe3WIh5AjQPEnp3JfLtCVqOMOHDXeVnInSsWcAUCX/CgnpTP8V3fMvzg6QqPtzL1ybRqCstrom3mWbfoUqPCQ5cWJvOLILyPsNN3mlT19huMZxZFEsm1N07dpVjUCFNwy+MEf3yssrtfgGXT6GAcQjkp86Ub967ZrtlsrOqpWr7Lstm9XY9HDdvnnznpNqTm/FqJufYnr+xSPn4QKBQCAQCAQCgUcdASgzqjH005zX1mQ7v2Zr28psn/aIWblyhX0jldZr16q08HWednZ91kaOGGldunXVDrHqi+nW1Q/Tv7qJS65JTxTO/6mjvnjpoqvrdFG/PkAbRlZ2rFSAbOBQJvJPH+9p5II14rnLD9lF/LZVBMpu1DAPE+5RRYCXy3ePSy86bxcKPjotSs69lVDoPCKEvjgg4PyaSP2RI0fsp90/2l8/eN9OnTwlNZ7Z9tt3f2fDZQkHh/QBXXp08llhT/5ploD7nqaqX2bistS0KFtlrP8MPLwIpbIRq65D7zBcIBAIBAKBQCBwOwSy2eDbhbiPe1knWeqznHCrb2KPFzZ5oq9LfV+Nrum2mMlGsMZurqixfr9NhiomjLMlS5ZoxnuS9erdyyqlLtNB+79USAKfdYa3ljEJ6rwPVzlqqyW9J7h+btN13ppQ+LR5BILQt/lXeP8PcKeGzol13jKk80TqL1y44A3Sl19+KUs4W32R7euvv26PP/646977lKCKSHgkBTR0qWFLfvfT6jjhD1J//5UgUggEAoFA4FFFgO7nATxbEkAlkp2MUZC1q75KwOVhdH1Bi10xMvHxxx+7VJ11bZiYfGzMGOssdVh2fKXMpFXhEvoUk9TCBQK3IhCE/lZM2p3P3RB6wHEiriOSdxoppAyHDh1y01rJxv2zz86VpOHVzP6tGiaaIja3Im4aFHBM5D6lmxpCv848PTynDTlv4h5ES91Q5uEXCAQCgUAg0PoRUEfR0t1E6hfpw4qqrvi7aUn5I9Di/r69+7QO7UPvM9nEkTVtM2WVZog2e0QPPgm5Un+pnrPk1/rBjhI+LASC0D8s5FtRvnci9I0V1cm3GiemFFHBuSiJA/btl3661NipbtpT0+x3v/udjR492jrKrn0lDZWcN3acqKFzpzRK55mP/xYbyIJ3nVNPoaVb6jo5xkUgEAgEAoFAm0JAHUVLdhOJtHP0fisn7onAs5AVgdbVq1dt27Zt9qc//cm2b99uCxcustdef9UmjJ9gPdjbBdXUfN1bEnaR3k25fptCPQr7gBEIQv+AAW+N2d2J0NOg1CfhiczTSCKhRx8QUo+lHMxuffbZZ7Z582ZtStXXXnjhRdmyf9a3qKaRash5errhjWEeIJ2new3FC0LfECrhFwgEAoFAIFBC4AERetaNsbkT/RLkHNPP9GPMZLOh4/Lly33HV8q1cOFC3/WVjRoxTkHfSf9IGgwE6FNx3g/GUkfHIn5uj0AQ+tvj0y7u3onQAwKk2smzGpvkEtGmscKGfTVHNWI0TIelgvP9Dknrly6zozJtOX/+fPvNb35jI0aMyExtIcHI06URY0qSlH1DqjyDIPQJ6TgGAoFAIBAI3DMC6lxaUkIPcafvo8+iX0x9Guf8/fDDD77wFen8mDFj7JVXXrFp06Zl5ihF3IlLH1hH4JX3kUrA7dTf87NHxHaDQBD6dvOqG3/QOxJ6NShqqRpNIDViNFycV6txQ0px/vx5O3jwgH3yyafaJONbGzlypJP6p59+2m3gEx5HY5bOU4OW0kppN5a5l6olW+rGMg7/QCAQCAQCgbaBQAsTelRqknpNkZyjhsrC17/85S++8PXll1/WjPULLtjqLhUbHH0eM+AIsxCO0fchnXdBmfrGXPLVNnCOUj5UBILQP1T4W0fmdyL0NDAloq2GB/4M0U5kuw75zu/jR4OEtP7gwYO2atUq/a0Uea/wBm3BgoVSwelrlejWq/GqnybIkGfKozGkgtA3hkz4BwKBQCAQCDgCLU3o6fcg47mEnv4PQxFLly41DEX07NnTFi1aZLNnz7Zhw4ZZJ2345BJ5BGV5X+qz1Pk5ZU4z31m4hlVV4+0GAkUEgtAX0Win53ci9HcLC40Zf0wVIqmnYTp9+rT9+OOPrlvP9OOUKVPsnXfe8SONGw7yjnOJBfELLt2rr8vPSCCLVQgcp4FAIBAIBAKBQELgDoS+JDii30mkWufeC+V9kYdReqkvol+j70GyzvG6Zqbp97i/du1ae++992zPnj02a9YsqdgssXHjxhpSeYRYvkNsykdxvb/UsTEX+600hkz4FxEo01RRXeZUvBvngUBTEMiJOASeypQIfbGRovFj8eyBA/vto48+tnXr1rmkApv1SC16SYJBw0gcCD0NHmmlxjOlybX70chynufXlGJGmEAgEAgEAoFA4BYE8j6Mfib1OYRJfRh+yfpM8k8zyEjQ0x9qphiEQDJ/5coVe+mll3zx6/Dhw10qTzolMk9Ceb70neECgftFoKy2Ogj9/YLY5uPfQXpxu+eDUCfnTZIapkS+0SnEeWOY+9NwHddq/7Ui9F9pMyok988995wvEho9erRLL1J6Sbc+NbBJz5D7aXrSiX9YAEiQxTEQCAQCgUCgPgJ36ONSP0aPVepv6L/4S6Rb9+jbIPI4zl1Kr/vE/37HDgmrPrItW7YYlmtY+Prkk09aH1l6w7a855GHTWkW8/VEG/jxMFlX2sDd8AoEbiIQhP4mFu33TC1Gs7YXaug8vbwxpAF0PcD8iF49u+Ttk616GsDVq1fbRG11/Q//8L+MBbOJyCfpCAuESIPrOo2t3lg0du232saTBwKBQCDQJATuoo+jT6H/Sv1Pui7lQz+U+iN5sg8LUvm//e1vdurUKZfIL1682AYPHuwqNh3z/VeUYJZEYYBQSvM2J9HH3QacuFUHgSD0deBopxd30djdCSFvfOo1WDSMEHoatNQQQurxw2Y9hH7lShbMlvvW14u0eGjQwEFWUZnZ4SVcIvNpmjMRe28km3U0cqcnjPuBQCAQCAQCbQqBJvRxqU+hr0lknmfEP/klwRSSedzhw4ft008/daMP6MdjwYYZ5379+rmlGvTliZ/S9kj5TzGPon/98yD09RGJ68YQiEWxjSHTjvybe1FsQ9ClRpEGkXPs9uK4PnfunG3dutWWLVtm+/cfsGmapnzzrTdtwoQJ1rlzZ5fOMwDApc02/IIfkXlv8EoecRIIBAKBQCAQCBQQaAKhT6ETeefa+5ZcQEW/RX/FHwtgN23c6GT+p59+sqlTpzqZnzx5sptkxtADfVXq91La93qMRbH3ilz7iheEvn297waftqUJfWogk31eGkQaO47cg6yzYJYNqFhM9Pnnn7uE4/e//72r4PTo0cN169GhZ/c9GsmSC0JfgiJOAoFAIBAIBBpAoAmEPvUrqb9KqXCdiDx92KVLl3yTqI8//tj9lyxZ4mR+0KBBmQWbXB2HOMwo3yKESgnfxTEI/V2A1Y6DBqFvxy8/PXpLE/okpUhSdhpFVGVQv0mknrIwjcn22Nish9RjJYDtsbEUgJUA4tFAMo1ZcqjbKK1wgUAgEAgEAoFAgwg0gdATz0m9+hN6lNRv0Ufhrqo/2qN1X5988olt2LDBBg4c6Atf58yZY717986FTjesvCITOiVCX6d/KgqjPNWm/QShbxpO7T1UmSpdsKH2Xgta+vnzBrJ+w4acHUs4qcFMDSi762Gz/lPtMLvp202ueoPN+unTp1sXqeCUS7pfSqvQQCbJCqTfHUS/cL+lHzPSDwQCgUAgEGh9CDhRLxSLviL5cZ5cyU8k3q205X3IhQsXfIOotPD1mWfmar3XC7ItP84XvqZ4pFOaP1bfw3kaHKQ84hgItBQCQehbCtlIt+kI0LjmJBy1GhpAdOyPHDliX3zxhX227DOp2nSwt99+26c2BwwY4A1l0SwmBN8XzCqdtGCJRrbY0Da9QBEyEAgEAoFA4JFCQH1EItf0Cy4ASsRdD8oMMH4lU5QKw3lRFRSLNW+99ZYvfO3fv79VMNuscCUhktIp9jnpvDhoeKQwjYdpVQgEoW9Vr6P9FcalGWoQcd7AQu51jdQeFZ0zZ87Ytm3bXLd+3759LqV/9dVXbdz48dZZC4981z2R+CTl94YTck9DK5caVL+In0AgEAgEAoF2jQB9Bf0CJJz+gmuIu5NynevEyf3Vq1fdpvyHH35ou3fvlmnlifbyyy/77uZpx1cGATUYbKhH6gG42PcEoW/XVe6BPXwQ+gcGdWTUEAKJxLtevQJwTUMImaehxR9d+v3798nW7+du3rJPnz72hz/8wdBd7Na1a0m67w204iQpDPmlXfkayjv8AoFAIBAIBNoBAupXUr+QiDb9i88I531Oja69vxAcv0qQ9PnnX9jHH3/kBhvYJIr1XNiWTxZsajFdqb6K9FL/1Q6QjEdsxQiUaWRKPQ8XCLQIAqnxbCzxOhJ6Nag0qsRJjS0kHXUcpCBnzp61lVow+5EkJpcvX3ab9S+++KIvmGUqNOXleotqpJOUvrG83T9v6G8bJm4GAoFAIBAItFoEUtvfWAHpE1DRRGCUJPMpTpLQc+Rv//792iTq77Z+/TpDvfPNN9+0mTNnZgtftX7L13ApPeIj2ceVq4+Sh583+BP9TIOwhGfzIlCmUWYQ+ubFNFKrjwANXb0GzZu+QgNIQ0oDmf5SI5vi0QjTeJ4/f96w+4vJsJ07d/qCWaZBsQOMecskKUnSegYDqeFOxzrFU7nCBQKBQCAQCDy6CBSl82mdFk+LlL1af/Q3LHzduHGT1m197nrzT2o/FARG7IfSqVNnhb7hJijLO6A37/8dMAYKSPbpc8IFAg8Tgdgp9mGi387yLlLnoizD9Qvl0aEsaxBpXN1P+CRpSlLFqb0h3fqqajt5+pQtW7rMPtKUKNJ5FswuWrTI+vXtax2lW49de+K6DeAiaS8MIoDfy1EsWDt7J/G4gUAgEAi0BwTcPDN9QU6+XWVGD05/c+LkSd/YEJOU9Bmvv/66Fr7Ol2nKAd6P0E9A5Ol/SKJcRhpwCInkpVnkrK9yz4Z+oo9pCJXwa2YEQkLfzIBGcnePgBv3Uot5I7egWpSkQ+T5B9nnHCl9WQep5NTUugoOZi2XitgfO3bUp0WxWT927FjrKt16wkPqk16kl0wNsJN4LtJ5Q41tKdDdP0/ECAQCgUAgEGhmBBpqpwtZZLf5pfHOrmjtc+15P7I2i1ncJDRifdYPP/zg1tQwlTxixAiXyk+bNs36aq1WaYaX5NSfeHpKnsEA/RAOv2Kf5Z71frIy1POMy0CgmRGIjaWaGdBIruUQgKDTEFfXZnqLUqaxK9eu+oLZZTJtuX79eusrCT1mxWbPnm09e/YsSfhTg0t8GnSufYrU2339ZO1/qfApfMkjTgKBQCAQCAQeGgK3J8UZiUcoRNtNX4GjjafNR7LO+iwc9whz+vRp++abb2Rs4TM3vPDss8/a/PnzbeTIkdaZ/U7UTyRhEKQ9XCDQ2hEIQt/a31CUr4QADToNNg00jsa6RuQeHUY2o8Jm/UcffWTXrl6zJa8useeff976yVZw1y5dSsQ+xXNpi+LfJPJKO+8EPPH8JxryIhpxHggEAoFA60OAtpt/9Ak04xm9VznzCyf16jeua38T9jjBtjzqNWvWrLFBgwbZG2+84UIg1mElU8iQ/tLgIE+z9T15lCgQuIlAmK28iUWctXIEvNEukO4kaaHYTKVi+YbpUxrqXbt2yW7wBHvppcW+YLZXr14lfXrfkErpJGsFrfyxo3iBQCAQCAQCTUQg9ROQ8eQ4q8JSmsxRbtmy1b788gs7dPCQPTHlCZmjXGSTJ09yowo+a6uwichzXUwnpRfHQKA1IhCEvjW+lShTgwikhjrdTFIXrml0+WMx7LFjx+yr5V/ZqpWrfMHsokXP24IF892GMAueUtiUTvGYGm/yChcIBAKBQCDQihFQO01LTbud+gdUZVhrxXU6Z5MopPJffvWlrV612tdYMYOLaubgwUOsS5fOpVnc0gwwfYrP4iKevzk4aMVoRNHaOQJB6Nt5BWhTj5833qnMmB/zRUvyoFGnIfaFtWp7L126ZGvXrjV2+Tt8+LBv1Y15S/Qjk3lLwtNMO4nPG+zUMaQ84hgIBAKBQCDQOhBIAhdKk4QuHBPdTuTe+wL5czx37pxmbHdLvWa1bd682YYNG2ZLlizxXcd79+7tNuSJh2MA4Onl/QHxk9Q+CxG/gUDrRSAIfet9N1GyAgKpIU+NeOlWPZLv4WjI9XdNUpmffv7Jd5jdtm2bL5jFCs7TTz9tA6RbnwYBxGHxU7JokPIq5REngUAgEAgEAq0KgdQXcEzntN1I59noCfvyzNau0maE/KE7P336dM3WLnBLaF20tsoFOgoLkceltJJ/8vOb8RMItHIEgtC38hcUxauLAA12sfHWRWk6NG0YUiTkmCVDb3LtunW+wyy69otkr55tvIcOHeoNOeGRwiR9yWL8urnHVSAQCAQCgcBDQaDQ1tPuu1Q9J/Ocp36BdvzatWu2d+9e+/TTT92SDW39Cy+8YHPmzPG9Slj4ihoNcVL77+c8mPzx4zrdfyjPG5kGAneJQBD6uwQsgj9YBJCUpMbap1XV0LoPnpkH7W+6oFV3fw6cc0CvngZ+x/ff2wd/+5vt27fPF0Et1oLZSZMmW89ePZ3Y3zK16ml54mQQLhAIBG5BoPQh3nKnfXkUcSiety8UHsTTJrJN4w7hpj9IiFdp08HTv562rVu32ueff25HpG45UzOyixcvttGjRlu37t2crNOqJ8GNHwt9SS2mL/P7pBsuEGgrCGhjqeqos23lbUU5b0EgI/O3eDuv94YeUi89yBrV8hpJ5/fv32erZapslRZGddaOsgsXZNL6AQMHWiftOOubhXjvcHMmIBskZFKbbEMRzF1mkh0p99yaeVN91Gt4P9JoeO6mzzOF9MLlMZAgZaepc0oJekene0V8PKiXW+WnE8zj5om1qcPN58pBzB6uzjM4BgoIct5JayOY7EoebBup/2DgaRFfJy6Rq5NKwxf39d4bTvIB+mYPnWx2gwO43PAtLzmT6T+RmlR5wI8wYIhqGs/Od0IY8OrgG+zk2OWYPsCHeaBZZWRS3zyVhm9J0uCEA5hwnzairnAABIWVw5jpaFNoXwOk8KnNye5zpzFHGoR6NJ3jwKMJ19J3Cc65n90Q1jr3d6A2nbrn36vCoF6DSg1SeRa9fvPN125LnoWvzzzzjA0ZOkTmKLP9R7IEqedKy+suPnk+2c34DQTaJAJB6Nvka4tC10Wg4U6OTsEXvqqtpuG+fr1K5i2rpGNZaxtQwfn4Q9u396A9N3+BLXnlFRs1WhIc7TBLh8GfkxiF7SD9ylrZu2e3WjrwmppqP1cgFeM+CL1iez51HibrzNyLB5DzDszPsh+yhVzhsviFOLkfHR0koow9yen4SmH9sXyNgRe/HXRkjh948KeHzrARiH6ZkzCRWe/ieaWAVc9l74A08htl6aRewDZwebNu8OxZfebZy1gQKKLEeQZXZtfbMWNxoLa790GAV6ns+VPdhMTi6hLZNgDGXRYxI5DZ98f306GD2gYIvLBDd5vBDZhmGGeJ+8LKLLCQFd4SLIAbcYpqgrcOBOoVjrpZqoD17j0Cl0BE61TELn277pcPwvFjp3DqGv5Vao8vnr9ou3/abR9/+JFt/367TXliqr391ps2XqaLu6hNrxDWZf7N8n6o4fqHXKPkPPPSVZwEAm0RgSD0bfGtRZkLCNyeWGXERDsF5gQ4EQ506/fu3SOb9Utty3ebbdDgwfaKSP1TWjTVT7vNomOZddDSrc+JTJUGAx0rO2YdTt756KJQlvs/deqdJ8m5dzzqgEqdnPLFD0cwl6rm4b2jynpFv58NZrKw3FNP5gMTIkIm7ncw4pk8zB918CVc6pUDfwZx/EthOPJHHXBSAHnlHCR0juNagfw8/Th26SId2zChpyrwiNSdbMDHQ6lu5IMar3f5QBAMa6q1zb0igZuTUx2rRaLKRWbx9+9E3wgDXkeuHn4JMj96dayLb537LX7Bw99HJoCnBHwGQ2c+wBdBT20EeOBXVXXd8cBMLviAIyS0ZEUlr2fcK6/Qt6gyOf6efvrC65dTgRy/+v5t5BpCfg8ufbeprhUXsF5WO37q5EnbuGmjrV69RtbNLtoMteGLnn/Bxj72mFVWVHodtQ689Kw9lQf/c1c6SR5xDATaLAJB6Nvsq4uCNwUBOgGacqQzaBTQIbIwlmacrcBPnfrVdwtcuXyF/arFs3PnPmMvL37FRo7W9t8dO5UIIGHpWMohLUqLTsWlRCIyzeYoqByEKis0xc3Kn4g7ZcCCDx0S93g+HfycI2dI+giTiCtSQHeEJa7IhG9p3oZJqT+0w5RjpQcEPoeAh81PSuoQOU5OqkSgwA4Qwapasy+VIl446kY2E+Poehii3urIre277Nkyou7PrrqhKuLkEhzc+pMCUc8Y0ELiM+gyP/AtDRzBSXEht7d3DxO7Bl/m7YtbuOvPq4YEybzjIYwSSeepSB08KsorNHdHm5MNGjMpvnAWqWeDIwQGfNM+SILoq066v+Klb7qQbeH0YWJXKMY9nd4B+wRgvbTBE4EMAx6vX0KZNph1UT/9+JNsy39lm7/7zoYOGeJEfvqMp2zAgIHCuMIHXrR31HNXFfM3VMxA76gtQ1p8lDhv9wjEoth2XwUefQAgwd5J5o9KB1Hy072Lslm/Y8cO++t7f7U9e36xKVOnSgVniU3QdG23bt3cBJpL7BUPiVpH6dpDfpC+tZhTuehnUjm9zMwyqGPiWfijLJSDRb+4zp07O7ngXqbrfDM+90kLAsEf54+K41mKz5PeNX7pHKwyYpC9Q+5BxMACE3fMWBAWfydZEDEAyrF+VLDKHil7zuIzFbECJ56dQSF6yTr44LdWkvoKzVAxucM3kPD0wZBw4hrsHnXnz6nnRXUPmph2nOZb5B5Y8nWhWuMSeAHGeh30vN26iu6BK+2HCwbyOJyHuxUBV0sSptRHBCtUyF9Pn7Fdu3faRx99pHVR+236U9Pt1ddes/Hjx1n37t2zb5mw+feb2oGUOu8oXCDwqCEQhP5Re6PxPLdFgIYdaRkdg5/riH7ldXWwBw8e1JbgX/qGVHS2ixYtsmeffdYGDRrkHTHh6KCR+NBjI1Wr31HcNvMGbtaPX+xonBio40l+HCEMly9fttOnT9uvv/5q58+f92vu0ZGxUUpfqQz169dPux92cWJPR4hLeTlxwE9YPCouYVV8Tp6O9wxebC5z9uxZxw11K3CEXIEZWPHXs2dm7Yi0ElYc0x/+j4rjmdLzcA4ZxaVzpJ9Hjx5zzMCOax6/u6yE8JcwY8ALzj7ro++iiJ0n+Ij98HyJYGaS3wxH8Ltw4YJ/k3ybfJcMtMGT75Bvsr/2vuD7ZDCUSeizb5tBEPHxT+8kwVZ8T8nvUT7yvLhiPfJBkr5X2jHq4YEDB9yu/LfffuuzaXOemeO25TFN2VHfNINzMHUsqbR5mg3hlvJLeTYUJvwCgbaCQBD6tvKmopz3hAANNh2CN9x5405Dn0keb2SLpdT4p07jwsWLtmXLFnvvvfd8h1k2oXr99dd9I5JOkrIhjYQkcqRDr98B31MhG4lE2pTLy6ZzSAKd2fcyv8nfkSNHPGbShSY8pGD48OE2bdo0meScpG3NBztpZYBCJ5c6sCTBbyTrNuVdegd6fqfcOiINzUjpUfvhhx/8ne7ft9/VJAhf/GPANlWzMk9Ne8qGjxjupCtJnYuYgV0przaFUL3C6vmd5OQ4UI/TDAak9PDhI6pfO4TZZif1fCvo2iuY6iJRa323zackFX3yyal+zsCIAa8v9CT9R9ghEAA/vkuwuXDhor7L/bZx40bbuXOnnTx10lWTuE/94YgbO3asPfXUUzZlyhQXEiRJMvcIh0vfp1+0w5/63xjX4Ef9ZPfv3bt3299kevjHH390PNnxlW+XgSWDJML7kKDwraa2rjFs6+fZDmGPR35EEAhC/4i8yHiMxhFIDXkiY0jDvAOF0Cha6gBSw879fbJVD6nHnjGEL3Uc7DDbSaotqbNuPNe7uJMIVoqSX5MHZUHCvGfPHkMixY63SOa7d+tuAwcN9LLRmdHhnT17TmsCTurvlJP/ESNG2IwZM2zmzJnGOQOSRBzSkSzBpYhROk/Fac1Hf6cF/LgGr6NHjzqJ37Rpkx06dMjVG5CSMtjhyCwFBIFB0UktqkOq2qdPHycHs2bNsnHjxrnEnoFQEQ/qitcZEYa27FJdp/YzIITIM1hcv36DE3nqWLduPaxXr16OGZJl4pw7d8YHutSxc6pvgwYP8lksBpDDhg3zwVDCJemPp+u2eExtRgkv1S/eP/5gxnf59ddf23fS4b6qnan5FocNHWaDhwx2FTgCszYHws+A/MyZszZq1EjHDCI6ZsyYklQ5tSkpL46PugPHW55Tfu7y52em49jx47ZxwwYtfF3t3+rcuXPdtjx1joFkha9JuLluqA5u5KEBk+fFjYSr/POc6gSPi0CgrSIQhL6tvrko9/0jkDfoqUOhwYeEIGW8rqndEyJ633zzjavhXLly2Z5+era99NKL6pBHlchx6nxTYbj2P3k0pbPw6fs8crFzoytnJuC4OrJ1MrHJHyojEFIkfOPHj7eBsp3PdD464ExHQwguysrDEUlYd+3a5esCiD96zCi3t0881EqSHi/ZUlbi4VyfVwODoj6532gFP2CTnNMcldv90jvUTZ7lrNRDGPSsXLnSB2W9eveSCbspNnHiRBs2fJj17NHT9xugUyf+NZGw4ydOuP1qZmZ+/vlnn9FA1WrevHk+YGLwQ9qKkElcdYTot1YHPgktyp1wSs/MTe4nfzDbsGGj781w5MghGzlyhD0hzMaPH+e7KUNSk343ixOvXr3iAyakpVu2bvH6Rr1i854FCxZ4HaNO8ZfiOX55num8teF3C1YqPzM94MQ3w/MQhiMDxrVr13o9Y2DI94j0HYLOd8l6FupNmvmAzB87dswl+NTP48eP2ejRY+wF7V7Kd4kKE/mQfsqD+P6OBBRSZt7fw3SUK5WHc1y6bkq50vOleKXnVFoltcCUJukLD6zYUM/4nplpY9DNdzlzxkzrP6C/DBewd0g2u/Gw8WkKBhEmEGhJBILQtyS6kXabQCB1VEyl07EkAod0nM4akvfXv/7VOxSmzV/T4is6b6bMi4SFzhuVF1zqvFLa9YFIHSLkIIUnfsobf8j4smVLbflXK6xHzx5OlpC2M2PAIjvXw1VkzyOlo+sk1YdArPl6jX295msv16uvvmqzZ8928kA5yY/yE584RZWJxsrthX3QP3on3lnrWCSijrE6c7DinHeFtHTp0qWuM4+kHYLJ7EQa+FRCAHIykp6xWmoTV0TsIV2oTXz22WcyhXfKXnjxBXv55ZdlMWOAx/d4ygcCwXtqaw6Msj8NFmV2Ug+ixYWn7auvluvvCx+kzJ+/UHVklp65vz8zOsk8b8IspYE0mvpzQoMhBpsff/yxh/nDH/5gc+bMKQ0cU52mnhG3iBvX9V16J/X9H9Q1ZUrPmhabk3ci9DwPsznvv/++W8eCiL/44osa7D+dmbtV/SJsem4G7KlNYe0G39lh7V4KZsuXL5fg4Lr99t3f2sKFC33miLzIPxF4VHrSN1rEjnCtzSXcGnqvlJXvlGfgfsKZI8+aCD1hGCowkEKAwQzpJ5984m0hba7v+Dp6tNdNBk3ueGdt8HvMCh+/gUDzIVD+xz/+8Z+bL7lIKRBoWwikzofOyDvSvGNwSb38IL4QaFQw2FZ87949Ivg/SUp5zXr06OF/PDFkOKXBsdhhuSxLfkWXwhAudWL44SADqIKwdfk336y1ITLH9sYbb9hzzz3nZUF1hk4+dY7EgRqlHLhHuZFmjRox0js/LEFQ9grZZWZxni+YhagRT/kW0/Oyk2hrcQm7dKRcOk8YckT9Aay++OILgzhBsl566SWfTXH9bknUHSOFTbMiCW9mJMAUggD5Zxbk1K+nXGUHAgahL0mp9b6SVZOG4El4NnTvYfml5yR/6lpWNzu4/e4vvvjSMWMm443X37D58+f5ugtIKbMQ1AuvnwXsSY/71D9UcrD3PWjQYCeqSFLBkjoGngwIinh5HeUdCMeH4Sh7EY90nb6dRJqpIzx7Kiekk+8StaT//u//dkKOVJ4BDGQeNS4Gi8RJ6ZNWIqrMopEH6np8l6NHj/bjocOHvJ4Rh0Wdpe9S1zgvH0fFz95bKqnffrg/vMO8nE0tCM/guAhfns3rVv5sekC/Zu3LPqk8fvP1Nz64ZlDDjq/sEzJmzBivX9S/Es7CPFwgEAholv2Pf/ynfw4gAoFHF4Hbd4DeYapjoQNPlm/U5dO3yGVx6YAghY+Nfcw7XXSymW4/Lgl4V+1COFCErzzZj85j1emAG+r0PH0kVajWZJJ5LijDieMnXCqFBI8ZgXfeeccXuXaVek3S6XYJnvIiGcqbNlHSpZ9jL5zOs3OXzjZSpB5J4p5f9tj27duzMqOug4RLj+i22ulg9ZyUgbQzWTipPUxXfHd60hwzfJ3c6EhZz0Pm1fl/8uknvliZGRQGP5DKig5SjVEE4vAeE6HAxjqO56QOJALHRjSDhM3QIUN9rQLpIqlFV5d1CxA2MALvLFVPxn/w8Yz8ygvrZw/6h/qQOZWTc/3n+byu55ttMRvx2bJltnLFKqkiDdGumm9pU7V81kl1B1wTOXWsSUZ+jhjmU8GATOQHruiNo2py6OAhW7d2nWaQOtt4DYLRbSYtr1tZoYjSoMM/u9dy2NXPuv41BUsDGDDjOXk+FgUfOXrEZ+qY8Zr7zFxh9rar2nTt0tXrUaluKA3fsAvfhJPQYrdp0sZGPYMdCDy4gdl3Wh9DWFfn0/4X7nSN4/vEMSjIQPfLB/+jYng7w3si9/zH35uXRgGyoupeQhYPvX9dYuYTjBImjqvucc1gCVwYjG/evNlNCG+QzvxIrTeg/UNnfqDbltdAU+EcEyWNpTHiN801NVzTUotQgUBrQ6D8j/8UhL61vZQoT/MhwIZS0NPG/uiAnPSoU3DSoysnIBRBvRDnkD4kbd26yFyfJHHjx46zX8+esa2bt9ovv/xiPSXd7NxR0shOmm4XgSwRY4hAlrqxhxNdXPGPvEkb54MJnZ4/f0FqI2vs888+t+Eikb9RZzZ58mTr2jkjDQR3YqaUKJOTDpUxdZ9Z+pnkK9v5UzbDZTscssWAYOfOH2S3+YAN6D9AxHWAJK1YJoHcCiNIqv+nYJSLv4fk8nKk90ZRWLyZlUllFcHiqa9eu2rbt26zv/39b9KHvyYp3hInW70lOWbWRPJoxx7y4ERNKfg7gWHoGTOSmmF6Q4SDa3Dt27uPiO5wYbXPp/17aIHoyJEjM5KrFMrLSUXxC3+pbH58iNCJkuo5sucslUnXWbm074IsOa1Ysdw+/PAjDVwGq479xvW4qWNgRp0Cr8xB2InKs+rAwMAy7KukttNBu38SB6JGnRo/YYLw2mLbpCoxfPgIG6zZLe75N6VCZRgXcKOc+Z/n59Wu5cBzGPQEHPlzMqjssjohD5FnJ+Pyo8zUBYj0RQ0aP5FaEYsyn3pqun+Xo8eM0XepBfIKk7UZSoVn1DWOc5DKyCdh2PMgwxc/1Ob69u3jM0A///Szbdr0rTDsL5I/1NsQ38ROeINfVj4vsaf9UH6UPSXIXFYfsmuel+ub5UvtbvaNZTGoU7x/vkMfUCsa9YmN3Wqra7XG4Kgvykad6YjUkmbOnGHv/vZdmzxxsnXu2kWD9UrPh/fhGIMvbZYPMP0WxWj4z4uQvRc/jZ9A4BFEICT0j+BLjUdqOgLOEdUnJGJHTCfZdDbZmXfIdCDqikTqu1r3Xj3VyUx0NQymzLG+cP7cWSfMPfvIzrRUFbzTouNRh0VcyGjq6Eu9ovLFDzIPZ0IvebsWzH0mVZsePbrbm2+8aVO1OBFpXplItw8ucrJAOek+VfAsD851jw4ue5abksUa5Y1kfwAEXmoBO7W47PTpUzZi1AgtEu2haBlpc5LsiSY88gvSfiiODpgygJ8/np9TFHzRs923d68t+2yZz5YsWrRIKiPPiYyLzOt5iQ0VYsDCuUsEhVdJuq5zHGsn/N3o0neSLcvUJvr27msDZcXl4P6DtnvXTi3CG2ADNNORWQvK4noCpR+wL108xBMKwRPrj+flTADynGC2+bvN9uHfP3S1mVdefsWenDrFZ6C8vgO0Ijj5Ur30NFQ50+AwDf5IHSJPfatGHz+/7q4FtP1ESrdt2+prTpA49+3XV5J6vQ/VQ7AvfgtFuMg6K3fRF7/mdSl1z85xIv3sKpXv5jdUpoWZl22NiPwnn3zqKlm/+927NnrMaF+QmWGWDQT95Stxf85UZMcz/yazLJysk763EaqbvXv18TUyv2itzp6f98hy0GAbPHCQY+W79aodcae0snKlxB/skbpNPcreH3mDZP5Q6VLX2XvM7mXh8zA6kAZ1K1vDkSXBwvSdu37QJlEfa13BV9ZVdehVmaNEzRBrQR07Sm0rn3Hk+cGca9pDz1bHO+KSBfXw8RMIPKoIBKF/VN9sPFeTEPCOIHW0eQdBRPz9j85UPRRSIQgMHT7S9p6SAPuU+bChWoB51qVrBw8dtC6dKqyXpLsV3gmp45L0Kev06OiyzpCOnOlniDxEScJeHWvsF+1S+/cPP7QzWnS3+OXFNvPpmcon2/WQNCie51844g/JKtefPwuFS2HzcLrlnWgnzSAMkanLK7JSslWECzdcOuPdpDYEMaOjTY6yZh128nnQx/yl5NkWXo3jCJc4KxOKX375hZ5lm8xzTpfFkOd9JqKiMsMie396X3qsFB8yQlxgIgeXrOpmNgCTpFkYZBhLCq/p/L7Sd+4q6SCL8xg8oDeNvjkDhvou5ZH5K5OH5fKsvb4hvZRzdQ+dHpXayNJPl8oM4AlfYzBn7jMikz0zKXv+TODl6Agkl4DqwbxuqE5kSWd1Mb9QUO3LoPpepZ1kCe8DRxH4VatW+l4AkyZP1IChmw8oSDerW+TBe8lT9GJmZfUXlN1u8d/0rJBErxvU+/wbok4wAGIw9+c//7d/q2++9YY9/sRk/2Z8Jk7FdzUSDfb5Dv1x9JPS9e87/zaze9mCatL2+ilPH2z310BRM2ibZWnp9KnTNvnxScqjWzYQ0jskbPH7bHFgGsiA8mPliLLzHrlmpoF/vDPOuZfeL1B6HQRSj5upFrIuBce9M1r4+vWa1faBbMuzNmmq9jV46603bbYWtPf27yybQeTZIfGpvvz/7L0HlxZHlq4bUHiPDEa4KoFwEggkIbyEAHk33XN63Jm5Z35Jd6/5G7PWPevec9dMz8i0LPIIhBNGDoEkBAKEEQgrhBGe+z47cn9fVlEFRVEFVcUO+CozIyPDvBmZ+42dO3awtXIs72Lfcm3ij8qPEAh0dgRwstzZ2xjtCwSaRECi1wQ1CRAaHJtMR1gVAolJfRUhJYEFWUd49ZPnGRYjGiU3f2+//aY+x69O/+f/+0/zmTxLNp/Dh4+UuQury+bij584bhMRjx3T6q7S+kGEmDQ4UJrg7iJA6+U6cMuW79MckSz8ejPptou0xQRVRSShSrhzZBb0tq96898SkrZ4rhG25GGmEhKIDDbmz39Eg4edRriwr589Z3bq3VWk3szDReLERqrXk2chkXNBN+hv8V7ysitbjGiSeQf56suNaa0wu1NkaNbsOWn4sOG6h+AFKc+27mqI1de0ptrv6va37Ns53XFtGVTZPQZjmstViscGHJIxe+6c9NJ/v5RWr1lt/v979epp13m/IA/ITIV0Wd5W9A38AzIKtsntZkBJn6ZeZzSQ27B+Q9r6w7Y09f6pNpmTSa02wdDanQeHNJ520SZyYZ8sFWP/KIJzloaBoAa6Fqc/3bpBWHunBQse0+I/W3V/1so2f3oaLD/2zDcx0m/YgDv9OdeTKPK/kaFcGm2BrFIP+j/HHBzXXIMVKz5Jhw4fSU/J49GU+6akfn0YZOdnkWeSZ4s5NFWcaAl9kK9qOV2+JVU8GQQQ7P4oTT896zPlgWrHjh1p2cfL0opPVqRnn3vWJhTTr3g/GD7lSlsOypnMDVOLaLM/+pBnt8vaAl7aAbMzZ8/IJOlE4v125rfTNpjpLfNEPHP119wj+ldOSzWzEuPcubNaH2KvzX3BQ1L/Af3Sk089mRY/tjDdoa8T3W1QLpM57oPQtDJpmdpp/VJ1AWMan5NcBgypS0E53ACMSgXGbiBwwxHIM8ZueLFRYCDQPhAwcQGZUagKjWIfoSEhYHQGeSHJgekLgkHizM51kx3snfLw8fyLvxexr9Mkw+UymVmadv64R77fH5GmbbIJY7zWbFivhaG+3pj27fkpHfv1mBEAJtsO12flQYNvk4DbLbvjEWn+I4+KNA6T1rOnpaFo6qG/+pVCSUBV657TVI4LYWgEV5eyvWvESJs0iq/6T7WQ0OgxtWns3XfrbBaQSGQja+SPtCyVUyq9TXetFSo3U0kqnusCqaFu+/bLP7/qfvbsuTTj4VmptrZOAy1INmlph3bsIFezMjACmCI+Y1QgpbiMcb7U0lheycgWbgU3fb1JZWaCOlAEFc2qXwPBQxtrgyFlUeSaC7+hf1Wy2sIAxmy7db8hXecvXBLB3pbWfLpOJGtAmvHQjDRU/Q7NOl8krGuBS2ZHlXZZOwq8aKsfV7basUGSrsOshrLIa5AGji9q/sf27TvkqeQDrQMwMd2tPgak3B/DjX52Q7GpXxhl5/uX60zlGPgQ7/Xa9M23ema/SZMn35tmzZkrm/fbU1ez5a7mxTNl6R0nvz5HVvLiCsNaWBn519YH6drVO2CwuVllXs5HMj25e9xYG9hjcsc9NfyLiuV9DlTp/N/SkG+bBt2zbvpyhZYdpcZ++dPfvGmzvmJ8p68/+9OvIvXdhMfAwQNtgi/3HeWEee/Ru5Pucfz4STPJ+kSDFto6XmnwYjNdAz+UGCg5aG+1LbSdZ7oaciuLtlqnqp5rfK9ZiRq/NGIDgQ6CQLit7CA3KqrZThBwwarqIHDyhLVkXj2Gy2PFGE2cRKPG4jFbt241wXfy5Kn0+muvm43o1199nTDNOXjgZ/NnfeDggbRr56607YettsLp/Q9M00DgUfPjTYsR3P67VgSqQj/n49cTj+s8/NyzVD2mQ+7b3r5SFMK0XYhAYYzY9rqAOW7tWJlzrcg1C0bhnhIvPjnklC3FzDEqb8kRotFTWnnKxCXoeE3+ZOuaVupFmRZ8W87kBu97XXyLV5v33ntf93tLmjXrYTPnQmNu2nmvG/VuQd29DLKp4KB8yP+07tXKlSsNPwh9b81BUSIjslxXvtar0ZbbK5VpX2xK7ccP+ssvv6zVXY+m559/3u65f83w56SldS23G8wI5Ek/IzDPAfLPhHibQ1OqF+f9+kp7OF/kw/m2CNQTEk+ZeKVhfQ58xL/6yqta72JV+mbzN/aFAS9g3337neZQfJu279huz4h5nNIA+JgWMVu6dKlMmF42P/OzZs1KL774oq3QTH8pD5K9Dfalo1C6eFxsA4FA4HIELjcEvTxNxAQCgUATCDDREAEHsesrG1gIJmQZ3+XLpK1/XbahTKLcKE8sJ+VdxDRbygvqh/yF/F+Q7fEZfYImr50yhdm+fbsR+p4ijEYRGwhzquIC3ckAcQ2DkStFFnosO811xLOy58KFC+XF5UdbUfbee+81n+Kmo9d5S9cww5twbBpMIxLYvmfSAsH6/vvvbSIn8wzA2ol1xjVrQB2jFldb5dr9FZnQCny2KBeu9HBZykqyE0TqKQ+TLNIZyaMwXWd1bXHB13eh32P6VqE6Trt375U2dJsmdd4ljek09VHMvPAaolDqX35tPtG8v+U+yPWQPbBgwANhg9DzY1EzSBvn1PFhsM0roBVTlevq2VbiimeDY7Bj0MhXLDTMDEYaI9aeR7O3TfQNcOMHPg8++FDatGmTvQf4sscEedaPMNyKgip1LhVcfs5L0a266/2D9waDnY+07gNudvEVjzEcXo/O66vZec0Jwqzw6NEjab8096wTgQte2sWgeLCcB8ybN9++SAzS1y7ekTw3tMHbxtbef6W4Vm1MZBYIdDIEQkPfyW5oNKcNEZDAJbhQ4wghixBia9p6hLKI/Wgmm8pbw+bNm+W55muzxcU9G2k1zctIFNeTVyZel0wontAna7w8QCAwx+F8OdiR4urHllPU3/dP+sQiIPkZMdCWyZCsJsuETxbOGibvGj7Zkzp5/ZpbVv2SW/+IukMWv9TEQVaEBSOWgWcARQAr2uv3oyF211Ijx5kyPW9MAcBl9erVFoc5VQ+IiIKXSfoy5nbyhv3Jd4p2Wz10B6kLduvU+VtpTR9+eKZMG/A337c6CGrQx1pa3Xr9pKgDzwDem1gZFdep3DPTcnOvil+5vOu5Z+V8rnXf77M9z7rHv0iT/Prrb5g3KAa+EydOtAGK15m25p5xjSU1wNrb61tyYzI2fY3nkucRsxUGRwTSeV39GtsW/dQStdEfe28o7yNHjqTX9MXxA33x4f0BDnmuRq6fnFDau6PrJfreeXkAO2bzivgayCq5U6dOlQeb5+VedpZMswbZ+8jydmxoS9E3rG3Ffhs1K7INBDoNAjdeRdJpoIuG3KoIGFlCyIgs2a8QOMTz2R6NLR4qWHFUkk4TOM9UhXCWVZlwcR0EUEDi8QayirDctHFT2qmVEk2br/OQSBPiXMs/JCi/q4QKwUJAFsHjmMgI2UIzTzks5oKJAZo2bx9bK1f1vOGhKLvq9jPXhQnFaPnQ+NXV1dlXBWqH4PefD6yuq85Fm8Gee4qHI7DA1IY5D2gZITOVe0NhOu+Dpesq+7ouhvCRgbb2FwJ22LTzmD1MnjzJtKP2RUMJjTApnd1nLssXs9eyIKzo/+AAGUWrPXPmTBucMhDDBz5l+L3y8r2wSj08og23Dcvm2Pv77t27ZT7ygw1AGOxiA16us0GsdlxrfctlNuy3nj9f5jCD4ysa/ezgwYP2bvC+5mWWt9UnvO0As2dRzwPE/NNPtbCezAYr7wt7L+XBNO2CzF/QBFgLqtzOHTvtawcrOP/h7/6Qpk/ToFLmRd5XSOft551K/+Hn79ecUfwNBAKBKyHAdCg9ivELDKIPXHsfyATASFzxDMGHIICQ5KOHj5pm6qxIMsJK4sn+Qd7FavTLf+1TNWckwM6cOasVKfemvTKRQFga+SkSUr+G4Up1RuCb0C+IiglMlYGvdQKkDrLCwAOyxbL2rIqK4CbtZSSBxpXClcpuzrlSVpftWt0Np2yWxDEDnu1y7bllyxZbsAhtb+9emWjlyagZoYzy9fVnw03NhcgTOGaSKaT4gekP2PwHVt0FLyPHSsP9a25oDj5NpblaGVb3IhEa0s2bN8nkZk+qqxtjRBGi7eSJm1wuRyfsynLc1fY9D3Iq/wMXnoVhmuDNyqq7ZKaBFxcngfRts8lWiVcro9XOqz603UN1L8dwjnv6jdZqYML1VHk4cpOuCq4FZrm9xXVsGmDZWJ1z6uJvUQ8jrqUT9Dm+OuEilUEjzyYrqOY+qUL038sCQ0JjZbV2HCXRn7Z+v1UT+PfIa9Jpq8oFxelOClcNaJXGqkThuoA1OdQJZFaoRcjUXsyXWIUZExvuPWlwR0ngEtLw8/5JHKG12xL5BaadsQ9Up/TztMYvMIg+0Ow+4EKnIugLYcRzxCqaBzXh9YjsvU2zpUj+oV5XMtOyo2n3l4p5JSkILC7gDh06mM5D6E24oa2qT0RMyjXzXuUy9BdJy6Q2BGRxLQR1mrRlaOcxDzp58qQRB9pUaZcV1uAPeTWz/CbTNcjSD61cA0k1tfbngRN1Y6IxWl7IDkTR/MarRZmkeZ18qxyvp466vOJ20FhKSt3lnnCezHwwFcAkgi8FZj9PfRWsHsW+RTT15zrqlUtqKuNcB+oBUeS+8vXl4sXz5nWEhZ/8/uM5hH3wFoKVreV/LfUDZP23fKmW9Q31Hw0cyRfzETAjbJCbUVb09f53WVnkci1lX3PaBv2ae6X68oxyH9keOnQoMVgbJbO5iRO1SrPs2n1eQK5b0V5da/+KOlzWlsbqZig08qfoM/bc6TRfz+677z7bMm+DOlGH+jgrocowLC3LtsWO9vEM/qS1DH7TRH9XTEDAWcDNcFSFupGQPqUtfvz9y8KJEyfTaV2HnT3tZGDp2Ntz1hhe5fY1cT7fk4xF7AcOt3IfaL5KSf0kQiBwqyEgUV9pcnmfSCOebEUCMqGsxkGV0LZ7GuiOC38EGgE3h2jna/A1bwI9l8XKrmekJTQfzETl5Erp/+zyq/6hTlm2ZhJPU6gP8V4vhOpDxcRStJL2eV/tKafztFUkqFNRqavW4ioJVJ9GQxHvZVNn6gahh0xPmTI1DSjmGFga0pOVtrZpNNPmR9I8BlmGuAZBaBNrCtd5tXV1pnHG5Z5pnKV95F5RD69vpSTqpVCJL44r51uwk/Oq38pK2aXy0IQzqZN6Mj9itDwwZZt/71C5btYvrJJFPYvoFlStegn46Yg+zr2rvbsu1dXdbX7wMWcxkldNXd1rBXyqmV2+Z6g5RkU/py+DH/cQDfRGzXk5cOCAeZgBN2z+K/evnGUL6tpYPpV7p7y5MwzE+LoxcuQoq8OePbttgqwTY6oArvXyyg3jVJsFXJIyqDirAZmTeW4y9bXnhMpbPYSnRhkGD+eFL32Ar5ZHNMDkrWfplBxPPtYOJeZfJZSwLcVWTsdOIBAIXI5At3ovhcvPR0wgEAgU/Ad5g9BBOJkQFjLsE+xYQogjIzEScv3knaK7CLMJJM4h2Cxx5sPYmZIfE8ouWZ4I9Euppzxa9JHtsaXnAhN2XJiDRflBM7dlYWl1ViYeN2LEyDRDKzOysicEFeIH0UdQG4kQ8VFlKiWZRlqE47reHZYdraXNRUCIU462FYKssrH3hwwwrwBXm3y2r62rtfh8P/KHRs+G68mUTUsDd8rulvKgnWDm227S0s9/ZL580n+aPlmxwuzqGWRgVsBCVA1x8fZ5PMe+36L6GVmirymnol6Wj+pJk72uuKpE08ykVLwvsYJrTY0ZRaj8BiV7RJFHg7NXPfS+ZAmtgdpTXtSFX18tNPTgAw/IHePnabkWasLMCxtxdbTKjeK5QVN7XdhctaaqXNFWg6DYp4/R1zFxWav7is28mXRpS3qeB/pgNg+hU1y1oEYTXO0ysOKeQujxBINnIAZluMHlS1r3/vm5rIc3JXFd0ZZGC26FSMi33U+9FwDAilODzutrJLccTOybj+rCMfuXZEfP/dQ3RoOMrx3eRgbMZRzNBMcyIjM1Sb9qX8jPn52IP4FAINAoAvmbK09O/AKD6AOX9wE9GgjhiiAWRrYPVtqDBCBMETwIfJTvps2V0LvjzjvS4NtuMw0Vul7+KzUqK9tm/a+OdT2LsSCTe4jMDxA5HDZ8eGJynEVyoghZVFYOLq8vSZvzUyJLprzRQM7WyrZ411m/YX3l835FmCoNQphjF8ZWg+aU01SaognlDbhShm+dPKAVhGhBarC9nTJlik06JmWuI1cogFNuFAfNw6Gp+pXijci4yVNRBnMPMIlYK+8tEC7uPYMQthZoh376Y6YcZfwsvpR/rnOucrP2y4mKcsiT8n0gBGYMgHDvOXr0GJv8jPeljFfrYVOuiu9TRhcNHEyLK9yI5+PG9AemaxGz0Wn9+vU2X+OCiCCkDrMMfrkNPE/XgMU1pi2l3ekAAEAASURBVLXeZfcw93/KzJjITE5fNHBViX/12tpam2+AdxmfG2FF8cca1MI6cnkTgazpydw7+gt9nYEYP/rY9u3b7X3jxNqeE54BrrLK6eI23JI1A52BAwdIUdHD7OOpC69Aq7gKx4+X1wtbINvXed6TKDiGDxtqigLax9eQ/MzqusIDGPXP11eyrBy3Zdsi77btO4HvjcG3a/nhif36L5PAI/Awgi6RUv0HJoWgQo5JUDkpMCElUgBRhwQMlAbyLhFzNLoENJAWdA4zm8LyJn+SlmDsqriefXqnurraVDdW7v0KV3V2jQSgCT870B+O9Za8Wh91genXenpesEZURGjQPtbV1aX7p96fvt/yvU3CO3nqlLWrTEQpGsGM5p7gebVkaxk08odWEax1aiPls5AU9up416itrTVbcFY4zQkzBvkCLqRhnCndIzu69vqSC/mBk/3QbueKmfeWefPmGYFnoRy8ExG8L1T2ieNAgbZ4aAlm1WsYWJFhztvvkQ0uKUD3lEmUmFCB3ZQp95k9uLuL5KpqXjmP1jymctSFrwFmm6594oZrMuRCeTk5Kqw2fP5Z+k11g/Sb+YhqVBmQ0IQ2+gGP3wcn8nbPVA9MujZs2GAuIhmsMb+kuzTl4AncfH2xawvcqSPtsp92m1NnLmkq2PUqi0Cd0NKzeuyDDz5oX1lWrlwlk5WjlUEblaI+Vielb07515sGr0W4a739zttTDasMq64M1uwLowg8cHA/ueVsa/QVskd3JmF3tWdmhyZGH9b9P6d1Nwim3dc1bsJjrbdMyThjmgtpHr7X2764PnDuyH2gm7/c7OmKP4FAIFAfAQQsUspDed+FqLY8R26iApmBtEBCjx3/VXbL3fOENgSU0qKBYzKnT7g0+aVjPYxp+F3DtRjPbCNgEO1ysFp4+UWVJM7LSa68r2srqYs6+/OPoMbsBn/l/NAK9robLzK9jJxlgpbNEmiDk/orF3htZ70uVkfh4VjhuxqtLnW47977zIaenK0OtMkxURzX2HG5rddWjWrqIl/P37ck4N7g8pMfWl0877BarS+QQ5+hHV4f33rm5bw8rtlbkzhZ7JAPeRMggAT8zlMfvmiwAjA+1Lm/nMeemXBd5VsOTf8hb+vjKo97lmsHIe5mfYxJnhBnBkRjxtQKS9WruN9tXTfHyrale0Qdt3y3xfykY9oyaeIk00ZDVGkPAzra0mT9irwswXX+oTwrS/eVCcWY/owZM0aTmz+3NQQG6wue2fWrHBuUa8vAyfqcrm2r4H0YP/KzZ89JRw8dSQdlT9+9hvUZNCCTlp132gX946Zbt2R6kPrBUJl7sQ7BK6++Io9Lu7W68+NpxIi7rE8ykKNvkr/3T79PYFHeb6u2Rb6BQGdAIBaW6gx3MdrQdgggqF1IFtvKMaUWcQgdfny2ZxXFJe+8kz7QKop4q2BlzjNnTqeTWjnx0oWCcOrSTIolgPUfIjhy9Kj09NNPp8WPL053SjuIXS9l+c/KQl63hswutYX8qTsLWbEyJUu4Q06xc+YTO/VwoVomXjT/ekOlbQ0yMjxFUk7IqwZeWiCBDDIeffTRdJvMmCDUpjUv8PHLya+1gufVcEv+xEG2wGcdnlukbYYIMgDiPnHeroOkCD+C3W8de34W2ZI/tFHaUO8HYOXlaVcuNY+kd9551ybDslIrBKyv7q1uYq6byGlbBq9LuZ0QVEgb/Vy1SOt1Pzm+5x75eAczBTc1yc+FRbX6n3KdyNz7M9r5N9980zThjz/+eBo7bqzVld7kaUjf8HriWjuAFcQWnCgP8k7/yt6KLqpu48w8jnMoBgheTztooz/WdvWhXurzuNX8ad8+ueXdr0myZ/UsahCic/zLXx+xm8clZffUf2D/9NRTTyVwPXz4sLUDL17Y05OPPcv0aQW/93ZUxN0IzK3w+BMIdHAEgtB38BsY1W97BBoKlPIxQrerTAsuyEXfca3yirb2HZF5fEfX1dalp5952iZQIrggMGfl+ebc+bx4E0Ssp8gMmqvJkyalJ598Ij3xxJPSXI3Iq1LStEKotVkrIXlWjGx2ZeIzYODAtPHrjTb5FAJNvRGyTmpc4LZGfRxHtr5v+RoxyOY9aPM+/vhjI3sMdtBWUk+vD4K/3rXFccO4ltTX86i3BS/V10k0A58DWmCHAQeTiYdrQSAIWDlUrieyYVvLCZu9n+8ZyakHIU8mTeY7/auvvhRmy8xk5NFHF6QRd43IdVJa9zhiF7XRn0p7wQlyqn5fJusQue+0ai0TdtE8D9NXBMigX9eafayxJjpmnGPOA+ZJ9DFWs2XCNYMgJuzyvGaamXH2+jWWZ2vGWd8qDbogvAwc8byzfcd2fXUZZvb93s+sXsK6rQPl0Nu4P0wC/3HXj7ZgVPcemjCsr44X9F5j0jCmhJgP9pXN/Nh7xpqS4vnnn7cBb21tbcXPP3MV6BcD9c7p2bP4gqS8rT3Fc9bWbYr8A4HOhED9b/qdqWXRlkCglRAoEwCyrBxL6NikPs3tOnjwQProo4/Sik9WmEBasGCB3EE+lAmotJLY406cOCFt27rN/DjjHxyZhTAbpoli94wbn+rk2o+JtAjqxsiDCVQuamEwkY9QLufhRIC2KN9xY8emRx55JL2upd0hqbjtuw1SL1LhRIvrnVC3sCp2Wbke5X013rTJ+JtHK7nzx51p1sxZ5k0G0xHqmW1utVOkLdetXl7XU8HSteRZviduUoLGeeHChTaAe/XVV1OtCAs/r4/fs8q2RNRK2V/jrt1JXZP7AkdOiNF8bvhsg5k/zJgxM42UL3VW43STDMPrGktrSXLKw9TC2w05JoALCzU98ugj6d///d8T8w/AizjS8muzUPRxz597ijYcV6jLli8zjTFfMyCrXu/y1q/zrZ/z41bZ8mwJA/pXuQ8N11yc+fPnm0kQq8dOmDDeSL1p6NsSs1Kj6G35LcHqw0f0NW+vvbMmTZiYjv1yLO3aszudPH4iyWw+3XH7Ham2rtbcbj4g70YoLegDrLTcXyvEMql82bJlacmSJTbh95lnnjHTMAYuEQKBQKBlCAShbxlucVUHQ+BKwrfhOY4JuGd0G1U0eQhYfrgnhCRBKnEJuO2HbWn58uWm4bvzjjulaX/SyDyCq5cIHxpKCD3k/V5Ntjvzm8xvNOmUz9QQQtL07t1HRL5qRtIW8CKQm6RLajPn0AbO1SJAEGm0lgheJuVhFgEWkKAy2bjeepIXwe8BBAWSxWqdmzZtSivkFnLggIFWB/BzkuPX+LYtSLyNuChAbfb6aYcYC9SdeDDCHvw//uM/rB/wVYO6UifvM3Z9cV3DulbyLs43tilfU60CBBhvMtKOymMMWlJWhWUlT2z7Z8x4MGFv3eiiZI0V0ppxqiR1tj6j+8l9NUKoOPo8g13mmKClx9YfUyrXONt13kilL2Peoip6HsrTXK5SF9WJ5/fYsWM2cD108JDVoba2tv6AmnpwvUJz7lOL6le+qGi39xtO0c/wtsNianh4gtCvXLkyPfvss0aOL+p9BEb0THvGte/PST0srZxq/82pLbJyxlpa4GWDQOVIHzMXk9pSwCm9uz744AOZFu6ywf8iTXRGM39ASo3jcpXKgATvXkP05YXBEd6zKJV4PNtgysf7EGUBAzq+jLBAGyY506ZPtz5Lm3kXUX/awjsB/In3waG1RHERAoFAICMQJjfRE24JBMqvfQSDBQkLF4Acu/Bj6wFhghBBqDuh5TzCjtUbIZxvvPGGlrXfZcL2ueeeM9/RCDJsrBG0BIQZXjIgM3369jHCB+nDbh2tMxMGyb9SN6/AjdyqXWh6MYlAgEIcGLBg5sLghGBEoUjnpKHFVVQ+5UCZBLZ7ZcuP9m6nXC8+9thjmgw43bAyMwhhCU7+K+dxo/Ypm3rSF7jPmCphQoB7QfBCowo+jhfp6AOuSS/Xs9w3y/EN96v9Ml9R7isMOPECBGZMUFy8eJFpPPEw4vVwvJpbXsPyr+W4XDfbL90v6sNzQN9ndeI9e/aksfoyxPNQsacWXlwHxo5ZOc+m6lJO4/v+jNNu9g1H5U++mMZ98sknpu2GULI6LHVgAOLPo+fTVJmtGe9lgZHvs6Xu5kJT+3iiYr0I+hgmX3jR4jz15T1FoK8pg/yMcI5jS8VZD8Q1EiytBhKFaSCKB4KZ1eh+fCXMXn75ZSv7qaeetP5OPe6SuVltba1ck44x0zPegdxn6mJtUP1oF88wW64ZNWq00vQwN6YM4E+I2PP+oS8Ycac9RX3sq4/vK548rL1FXCMtiahA4JZCIAj9LXW7o7EgUBFjhaBxVEzouMCQ4PJjJqShpYJcIGQgBNh2v/zKK+n99963OOy70TJCTGwiqfJB4BiZsEIrpVby9fzZ3szg5TNwoc4co2V27SVkHpLKlwQnOrlJ11dvsAFTL9MF9CnZNDOYWLMme9uBaOGtxYnAzcSqXLaRdOFFvSGnTNZdtWpVOqmJvNhil80HnGD5NeV8mrsP2n6vuIZ98gND/PQveWeJmXTNnj2rYgfuaTw92/YQwIwJ46flJYWFnLBjRwNNHG1Ce279oaist9u3TbWhsfOVOOVLnyN/wk4NFt9+++3EAlz0MbTf3DP6mV0jfMvX6sCua8s/lfJKhVipKhs8qB+uHvmywXtp/D3jzb87yQ0vpbN3lI4by6v09lOKjAPXloPjwzsPMs9xflYvpYOy43/99dfS3j1701NPP5WmasL/AL0fugkzvlpSNgMi6tKwfPKxOhb4k7a/7OwZRKGtx4yHr4IsHgepJ473jSpQmVhueRb5sE+9GpZTbkvsBwK3EgJB6G+lux1tvQwBEwolAeEE04S3BAbCFM81rqWCeDDxFXvpLz77PI2pHZP+5m/+xhZmQuNkWjRdU/YM4wL5ssJvcoS33avhghzy2VsCFVKP+8Ndu3aZNvBO2cH6BEcTtEp3PYGrEciU6/tnhTVlvv/+B/bl4oUXnjeih6aP+laEt66xe3Q9FWiFa6k7WLBl0MHcCEwIqC8ay8rgTuSFNEbsW1pugTdYOQ7kibkCA6BPNH9j5MgRmlj9RBqpidUQKw+Va5S+PeAGSaN+aGIZHGN+gxlGZUI4bVUatM5lckg7rqX+5T5umClPnnG8rby9RJPXZVrG1585c+Zk70m6Tx5I7zhfS5l+fUu2lfJ0sZfvbeaY9wuYUX++BtG/mIzNmhWk46sDwQeQdnCNf8jH60H/0pH9MLWBcK9Zs8a+Qi7U3JGheidwlveCX6PDRgPn7RkonheuI/d+GsRhY88XB0zt+NLFgmjcp36YLWLup2v92bF8uFZ1K/eNRguNyEDgFkIgCP0tdLNvyaYikCQMWhqyQMsCDi8Tb731lnmxOXbsV01SmycPDs+kyZMnZbMZCTUEG4LHzQS8XKvBddTD82ntLe0zQawt+yYk1QaEKZ4+sGvGxhlf8BBU4iBilYHP9VSoENJgxY8vBAhzMN637ycztXnooRmmrbP7oDRgaxTjJmNZwa1oPyYvkHjwwRyCQR8DIgiqLxBmpERkBuyutT9wrd0nlWdEqMALLS1mK++9957dFzTNk7XwDySoIVYN63w9t641rqU9YEZdmZiK6Q2DIgbGxHufQJOrjlnR7nL/PVyGo9I17B/ebkw2OAcx5UvKe++9a/bcixYtTLW1tUaWeVdYXysKcMy9vBuxbVg+dabPeDvAhi8ZO/WF4YcffpCd+mAR4jsrtv/WVwrSDG4eiPe867WrwIx05Wu9TLYQbYg8XzSYwIwbSjwUURfDu7gW/JoKZpNf1IF68LN7qzi2mOjU1dWZed++ffv1DH1mnn34+sU50jgGVk9d17AdTZYPDleoW1N1jvhAoCMhUPPHP/7xzx2pwlHXQOBaELAXfiGw/OXvQs3zId6FFxofFzaeHqKJ1vgv//mX9PGyj02ThFcGJkKOGjXShJp9SlaGXOvaeRM+FNKOBQltdIKIYDaNF+3Qr7uI+20iV5gkIMz5OoEQH4R9q3Dy4Hip8R5lgpb4qwalcezROkJMWXQIrSlePSDF1MPsZ1Wm3xO2zcr/qhVoeQKwKpspMdBBg0qdwYv1CDBVQvMMXq5htHqX+kSZlDanTZ4G3Bg8QLL2ySc43olwuYiJVFk7TwvLuHHsebB/I0O5reAHLpA1NM0snHTw4CHzhILJBees3uoj9CS751eobDlva1/R/zwPZWBf2xigghlkFGJ6rxYrAzPLv9Rn7Vko7tONwKtc/3IzKZt7zY803Fuf07JZqwFjBoOG20gvmPFTOq6jz1n7yxleYd/Tci15YPpEuXwNwG6edwCYYVLGQIwA0Tb7fTu68h//wge23h6/lnxoF65f79ICewxWmeOAth5zHgZ6TM73vuD3i7ryixAI3OoI1Pz5T3/6Mw9u/AKDztkHcqtYh6cSePlzrB/+4/Ejj3AhIBggaQgL4iAYeJR488230g/bf0i4YMO7BIsI4c6xR/cedk23bnxyhrQVNp8IUsuRPwjV9te/KtWzKmbB74LWyBYEVRp6CCkL72C3i9BF6+ymJIZjKaOMc257uT/VT4cAzlgDDGQdU5VlcmMH1rVjatOzzz2bamuz1pRbRV6UTWCf68r53/B9lU+gr1AvfvQdcEODyRa8aBemBANFWuuTpaL+ORvLiz/WDuubAARGijSwdM6OM3mh3J/2/mRzOL6Rhv5+9cdHH3nUTCC6d9NkbKWtkDlNkqW6Vj756aSV4+XdwC2lW2VsJ+/7pOITJ06mrzd9bSZEQ4YMNdtsew4NhHxBfbiqGJbjfZ/n1/Gz51pfUb7RxOE3Xn8jHT5yWF+AFqSZM2fKi9IAu1+GF2SYvlX8KLVMFtsSN28hrbJ1w4qG2DOl+0ad7Aug6sjAka9Bp0WwmQyNi1f6GXH0PX+HGX7Fu82yc3CssHxQaV+Bs3n34rzeZUyw/uGH7fpq9raZRi3QugazZ882t5RMxuV9532L3K74U724IVaqLqJcnhvqa/FsFWgb5J33DOf5CrFVpJ42MvkcjT3t8sB+pQ1FZPk8UVesV5wPfDpJH6j50x//9Ge1JUIg0CkRaPhit0YWxIi3GOfLn/YRDMQhENGwvvnmG7aCJJ5pHtdy5YsXLzY3hQid7C+ePLL21a6VULIyEcCVf+0T2pJMtDobFhL+JmBVZY7hf9jsQlLRAn/22Wc20MFuF1Kf20hb84+WWvvZqRfISaHYWHryF97H9AUAt58ffPC+7JhvT889/5yZjVj+RSUtzyI9+3Zc5JUzvsF/NVkQ7aVrwiGPjhtbyAiTF9evX28TVjFXQvtono+sj4EXKDQdyjhaWsMCQtQlewESyfryyy+k0Z6Qnli0ONXWaQDUTbbUSudfA6wUw60oT2Xf1KAmUwPqyL3HVAntK5jxNeiYBkCrV6+Wice5PBEb0yGd42d4gIFlkFvRFIaXRERtkF4098Il+Zv/fmt6TesrbN+x3b5kzJ07zzTbmESRvwqwO+J3xcorgVU5bkMI+RZRKcfLVoWYw5PJc64dadCQQ3yZQ/GNNPVMKkVTz/NKAF97JxlmqjT5sF8JpX36Be3Xz5vH/s6dPxpm32/9Ps3WWhC4qByuyap45ap8dSJPv6iSdyM7Rd72BUH79FHqZ9grOeXRH3im+EHceW4ww4LMo61nPg/peB+Rxget3GviCd4qP67ENaeOlkP8CQQ6JgLS0P/5z3T8+AUGna0PmACrvN71gPLCt/+F4DIhVpiZ6JyTBmxsIa4vvfSSbSdOnJjcHSXaaoi8+8wWzTBh64+/YchBB3imynX0+ueqq01FG8AELRmaP7y4YHqEfTjmCkMl2HtrhcfzIkto6y7KH7qbG/HVg1yMUCgPs5+FMxReMyiAgdTRo78YmWd1XQT0Cy+8aF9BMLkAy0p9GuxzhvxvVp+l/uWyrZ5WW+qVtYxDpWXGRGHd2nXpyNEjNnmxr0gK7Tx/vupP264tta/IppI/GRo5E2mBuOyRh5H3lrxrE2HvrrvbVuIcJw8x3IsKvsrETS+oj9VXf8p1vin7qgO8ijrRJvoA9aCfQUTpY5h4bdz4lWEHmcNenEA/5LrKfefIIvijXeXDz3gbzzb9Tf8upItp25at8s7yetqmr2z4wF+w4LE0ZvQoI8VcY9fnTMjI8rFI/fF8c5p8zuNae5ubVJRf1IM22D89O143ygUzBr2Y2uBCF8IL8eUd5Zr6DE+BuV2T89ZutV3FfaB99rwW2+3bd9jkf573+6fdn558/Ik0Rm4me/SqP0Hdy7gaFtY2CvZQ2udaghNzexfrmPcA/uzxeMMgj7rs0ICML6u0s5faXzHNshyq73PPk2gj/qCocur9hKn9axgfx/VxCjw6BB5mclM8B7EJBDoHAnr5mPDgj4K9wG1LdFWgXBQR1clMliTUEAx7NPmTRVOwsUXjhZ08JjYTJkww4WKTwCALChCMsmaqLECqpVjS9vmnkUpW2lC8wAVOFvI6RhsI4WJyMF5JWB0SwtW/X1/THoJnmXQZ1JaPYJLGFCHtmlO02z9p4uuHH35ohL7/gP6yzX3avGcgxCG9DYMLYuIbqXrD5G17rAp4fXxLX/J9iAnu/NAknjt/ziau4s0FrSMY1mjAQ3/jGn4s3MO1tIxrCRy76QRE6+y5s2nHdtnMSzP/uezNsc9/XB5tJmulzt59elcGpKQlgLflT143HzGrE38YaHgdc5urJMxJPfMpGFTjOhXCys+utb/6k5uY21XciyLKcPP8fzt7Om366uv0hr60bd++3eZmLNJXttraWiPzpPN75rbcXkRjW+5QW4byfWpYFu1zDb7hVtSdAc8gmf+dFJnH/AbsfADO2heE3Ma8zd3DvwTk95+XBR64jSWfd955V7bz36apU6ekJ5+Qv/mxdamnvmY4XtfcpbwQq1H+Y+0oHVufrdQ3X4DyxCeY0y7eP9SPLQMazNl4X5DaBgLqX/6Fqpx/GVsrsnje1KBSDWI3EOi4CNT8WSp6exLo0/ELDDpDHygkjQt4hGD1pa19aWVYJAVC5f6u+dSLzTOrfa5auSrdNeKu9Owzz6b5j8w3Txi+UqoRVgmAilDj2e+omDXnvaW2sriUCUrt87kdzfzRo0fT+g3rpS3bmVeFHDbUSBaCFO08mEBMuc61sBBbzJNY2RQTgVdf/at5G8F85/nnnzfNPGYpJpyVTzmUBbPHW5Kbhb1XQluvgkdV6qoKQuqxbQaHdevW2QQ/PIaMwdWgiIoNCsmAbqk0uU30L/BTz+WcwolTJ22y8Kuv/TVt3cZKsJPTk5qcOHGiBpoaUFlfL9Jmkqq8Cu2jn7upeFG3yq9SUcUV+9bKPEiGvKGR5ZnEHedOeXMBK3CEoDIozNQ2+6sHw0zgRVLVZp53BpdH1EdXyJXna2+8ZnNhcE0JmR8zeoyRefAuT7auX5OiQg03SnRTcSzqU6mrKkM7GCQyuKZv8WwxiZXnDxMcTHPokz6AhNhaHxWMPJsCr/KMMoBiHgtfM/bv36evGTPSYnlOqqvLHm0oywBQflYH/jT31xDLRo792cn3Mz8TlMkPV7qYstE3eCcx4MO+nnMoGzCdoj1eR8/D86Te+l+tr5VvrajGlc/HfuDSwfpAuK1s5KUSUZ0EAX8Y1Rx7uSO89EbnhY/m0178Ogc5Xblydfqv//qLeQ15+OGHzfQDzRQTXyGYEAkEpGtMK0Kik0DVWDPAzHFyko3QRFs6cuQoIw+bNn8t7fM3tpgS8wp6yBTHzJEQnsKZYOY2IlknZcq0e89u82WNiQ1EDW82eAyaNGmS2Zh7OXaNSd9cs46Ct5MI+hb7kCg0qPYlQ+Tefa6zEi5pwIyvPgyCGOi4mQzEhGNMKCDw77//vv0gXHPnzjVf82Oloe+DOQpYO1a6znBX3yeuEp9hbJd/vY48rrSFPoAmFvLGPmZeaGQPHTqs4xr7GkEf4zowdKy5nkEAz/PmzZts1VxWgQVjFn3jh3/+XjIZcdMwz6NdAtNIpRwrcPKBMn0MDBgM089qZP62XaZFjll32bvz1SvPVcguQBlYW1A+POOYOZEeL1NLly61vssKzUy0HjMmz5ehDMqv1KGR+l1PlL2ulT+h/BwVEfYs0Y7bZWpD32AfL0/0D+YR8HWHfuPvEOrJe4Thn7+LLK/4Ewh0UgS6iKTQ3yMEAp0OAYQCP3uxF1v2IebEI8jQ8CDAvtACMwgIyDy/kSNHGhFw4VXVAko4gBSCR3nYttMhV20QOCHIwcywE2a0mXgmyWLTum79Ols5EoE6btw4sxVHi+a2z8xJ4PM4ZBY/85gEQDxwfQfWCGdIbTk47uW49rRfrh9YePB9P+/HLE7mkxfROpsrPmmWWSUT0xkm/6GZRptKv8Q7DvhCWPiheQUnBkB4WMJ+GKLqZNZMDIr74nXxOvhxe9o6LtSJetqxcHQkOQYH+g1uJj/TIm67dv1o+NTW1qa6ujrT1A4efJs0s93TOeGDHTl9jIHiTxowQe7Blj7GgHGwBqIMSCvlUbZ+lNmesVL16gWwsfvuZFX4EVzhgKlgxuwzMzOC4IIXLmfpQwzIGRCBD0SeNSZ4D4IbmIPvjBkzbOVcFBo+ableJdrgwO9FY32DuPI7+Lyep180uOW9zUJuP6pv0LaFjy2UidBUG9yY3bzeXfYVBoz060j3uQ0gjiw7OQJB6Dv5Db6Vm4cQQEiYWQ0vc73cIUYEBCKfllnECHKF0Ecjdc/48WYmgfBAECLgXONj7twQEIVAJZ+y8OG4UwW1EyFYDpAGsPFBEYRg//79Rgb4BL5p0yabzMiS7t1wn6gAmT3922lpFC/KVORewxozGycX3Au0jE7myuV1lH0nCt4fQA0NKmQCbTB4ESD1DGggnmDFREbIJ4MfBpTkww+TAibUQr7Gq09OmTJVK+aOs4EQ6SBkfg/onw2D9f0G965hmpt1XMaoYf+iTpznuQMHSCeYQVK379ievvryKzMnYcDDIJA5Cb179xJWp9PxX4+bZyEGOxD4++67L9XW1po5BrbWeBgqa2p9MNSesWp4j8CkjB/PjB+Tln6HOaEPohkMYkpIX+PLBYNAvur0EnY8lyflKhRTOAaTTP6fMmVKGjt2rA0Y6ZPetwwjK6D++4CoVg+6/+X7ZO0rvYusLsKB+vMF6+effzbTrI8++siqslAr2LLAGkoFHwT4NeAXIRDorAgEoe+sdzbaZYLOBJxIAQICkkA4cAABsC4hABB8eL3gczxaLMiSLjQiCxmDcLhQQBjwg9gT74SgM0MNfv5p39sJBheEKQMlw0NbhCsaZSYeQlb37/9Z2IosKB7NvfmVvmukTawbLa00pjmQBbB1vMkLzCEp7LfrUCIYTdUTwo2W0AiJtvSb8pwNtM+44dspzSh+/iH6XEPb3XwCrSpfi7CFpm/S56zfFeno15V+6ERI2442OLJ7D6YKPlCxHgBuaivPLgsNgROuFNHWgx8DnzJm2Nnz1YMBIxOSzfxLeZK/Y0cZlfLK97G8T6J2GJyYWp9S/ax/lerp8TxH9DXw4cvFj8IMc7effz5gJJjnkuePwdBdw+9KtXW1hhnPqZmAWb/i3Zd90Qs+Pafqy9qAXVsFax+ZNyijXKa1sejjtIO+wbODph4TKwZ7fMlasGCBDYZpD9dTawbXEQKBzopAEPrOemejXRVCbwJAL3Re/mirsN/eJBtbFjDCiw2avIpfYwky1xabDJPg4JMzAaHg5IE8K0SqE2NNm03IFltvKppTjzds9Ifjs8L45MmT9oOAYdHXQyYRaPuwb4XA8/N8IRW+73mzLeddju9o++V20HcI3l4GRQyW+MoBVmjkvX9heoP2GTICRq6R51r/ORYcV4LyUwIjL+2V1Ht9waZhIM6/hJEOsubpOGbfsWIwjitD9Rb95Je9d095XOpfwQzc/Fovh2e2HMizfF/K59rlvtpvrS2wKGPp+2q0kXna7j/efXzFOH36jPA7XSg38GXfI38d0hcM5gk5ZmACmVcx9gx3ZYK12d3nvtYQ19bAyuvfMG/ivR2Uwz2kfsT5vWOfLznY069atcq8Sg0aOCgteGxBeliLh2E6xIrTQehb405FHu0VARH685e/VdtrbaNegUBDBKQ14oUPcUT48GJ3wYDkY3Ef4li86NM1nxqZR7MHkZ+nyYV1Y+tSPy0aZZpio0GZcFXyUHmVfWRZ5g7VbcP6dPbj4m0Bpvwyc4RAZPMmxyqfB4ychnvTtYt7I1G0jqGdFYIFth6KMixvj+soW6879fX+ol1zkVo+V7QHvCCtbMuYgRceW8qYcd4GkcKUfaPtBY5cX8He8lZhXl4Z26Lcdrkp6utkzdpTYEh7CY4T/U2fc4RHxi0//11FSPPETVLbpUWedrH+kD6fqW46FE7engIXa1d5XxFg5RjaeeL0s5aLDGcoFUMfKvebAmO/JpN4XUUau5p8vAKeqo22XgyVLgfFV/qAnhsGxGYrrzrS7jMyqbQF8NZvSMs+WaavEcfTI48sMBOcoXcOTT3Nh74GdbSVpumf9a1KOTxH+SsRxZrpj9WFr7XlisR+IND+EOhy8UIQ+vZ3W6JGzUdAZF6LjJhgQlgVmhuOCWiMd+lzMy/3NavXmNnCrFmzbPlyPs/36Nm9QirzJY2/ta90rvl17Vwp8Z2epVxVUwbhBHsfYNHiBjzBQDCUlS7jSlTjuFviDv4HwmCkoUKGclsv71Ok88aWBqaKytdzLmNmfKQCmeOoCI+r5OP5daRttT/5c5zb7+3MhAv80Bo7vvm4oUlFfSByfg5SR8KkuXXN7a32F7+OeNrdVNu9j1Yx5krDyx/S+lBy+iaE6nPBe5+BcrkfUCEWnTr267G0UWtlLPt4mVZV3iNzolqtDjzbXOMOHsQ6ELRTxF5wGFb4h+2ifndBjVR0jWVaEH8y1bkIgUB7RyAIfXu/Q7dE/bKQ0Su2aO016IGK96xdUeyj8cQNIJ+X18qu8j25/MOTAxMyZ+Lx4t7J+gR7m7R5mH7kIn3bNNxet6ZT3GpnEIRZmBZaLgHgBAxCn7WhZTLaFEKdHdvcMaskqz5pahwVMGmaRDjOXJsHAaTtBDiqCbwHGCxmvKptys9ofVx8AFR+fhvHBqQs8yvBSqJOErzvVPtatZ803UTHDuxJfznm1fvRdC5tdaZokyplvUCH+R1EG1EiSGNv752uNpka7fyu3bvSBmnr165drzRd5b3nIWns5YpTK97WyJ2nNVLVtXYrDz7gXBK5tw85Uk5UQXA8rRdxhTWy+ZKqen1boRP5BgJB6KMP3HQE9Pq87jpg003ATIHPzYcPH9EKpMvMrzITw3iJP/LII2mE3AP21UI8NV2lyTNphZa5qvWxTEp/GiMMpdMuD8pRt8y+wWd/1GQHqmi9CVoEIqHBuRxZjfYsPN63TVzmp9v1ljaV619uY5moluNpkF2jazNd0LHijL6UI65A9B2Uctke1yG2Rdupf8aGhkMuq8+oYVIAbFhq3whZMxvdzGQdAq56lSywI65eG4u+U2zqXWJpiwuczF+WoIiol2dTidoq3tqWB3p0jHJbKs8I/cTrWpB7THCOHjmavvzqy7R61Zq0e+eudM+kCenxxY+nyZMma/4AE82Vr8SAKenJWJmQD6SeQQAypZJxE+2zkr3wxtKEhr8xVCKulRGISbGtDGhkd3MQcK8O5zRJ7ttvv0kfybc8rtrw2sDiKHg9uP2O2/MEQy280tW081XNcuO15g1dFh2Np7qVY50EZJJaQkLSH/vTy+JLSTrzbsE3RQSylDdSUDT46sRI1zg5sO7X/D5IuU5IOi6++bnLTc8Nsn6Uo9Ws5uPRcTG49ppnvHRdqftUc6nXoarRzdyr9Odmpm+LZLkOjbUjx/FckcbmpKiP5MXDLkhbrwXajp9IO3/8Ma1YsSJ9JVOcAf0HpLnz5qYZ8nDGytc+Ob/GzHAkF/SPdxv/UBCRb/7TFi2LPAOB1kEgCH3r4Bi53CQEeOk6acTrBS/sN954w3yj41t+4aKFaezdY80NYH5B671cEM08EfYmVbyzFevStGhX+b50tqY2pz0N28+xB++vftzsrY8ESnk1+9rOlrBBf7OBk3Cp4B5YdbY7ntvT8L6XWsm9h3zzw1MZbjsh97znUfgwn+rAgYPpSy1GtWLlCps8yyJtTz/9tNZ4uMc8SfGU2vBA5TAgsEnolHmFcktViN1A4KYiEIT+psIfhV8RgWa8RCFHmNvg2QC/8vghxsUf5jVMfmUFTrQvNllThbHoCsdl14lXrEOcvDICTdyjCrG68tWd9uz1tp/ry6HFg4ByJh11v9THHFfwKGPkx36+3FRLp/RZj1s+0wn3wYrQoP/kyCv/bQw7v+JK5zzNzd6aQwRVwuvq5NzvP5jgKvbXwr3lsmXLzM0lMmLx4sW2wuwgrZmBwodrkBkMDgjsB6k3KOJPO0YgCH07vjm3dNVKAvhKZAYy//nnn6d33303bdu2LdXW1tqKr6wUibkNq0PyIufF7NoW8gvt/PX3LhOUDbK50r1qkLRTH5axqWAC2VJfvO7QIB/LsUG+lTKvu7CblwEYXms7HHe/zo8rrSi9VypxnXDH2+04NKeJdk2BT8PrOb6WvJpTXkvSNKxXOQ8j8Kp/eSE8T+/1pw38WPMBRwnr16+3FcPx0z979hwtMKh5ViNGmFLIZESBB+WQR2PPWrkOsR8I3EwEgtDfTPSj7AKBTHLgJHp/FgHXdZn/uCDJn1Px2Z2907Ac/IcffpA++OADW2zmscceS/Pnz0+4o2RVTV8l0nOMbSAQCAQCgcCti4DLErYog44dO2aLUH344YemEJowYUJ6/vnn0iRNmO2txbayZMpmOFxjX3oh9sUAhzgfNNy6qEbL2wsCQejby524pevBa1OaEwg8HgWKwCdU82ducdU0586fS9u3/2DuKNd+ukarvA6RVn6BXJLNSHfccUdFuxIvWkcytoFAIBAI3OIIiHyb9l4wYB/PisQco63fvn27+axfu26trWj9+OOPmzwZOnSomWi60wWfPGvaejRQCjZIUD5i9nZ82Z8rnbsscUQEAi1HIAh9y7GLK1sLAb3wUMyXTWKqtot68coFmYejR4/aZ1JMbJjgNH36tLRgwYJUV1dnE1/dPp5PqOTHcYRAIBAIBAKBWxcBI91qPkQc2dJFMqerZAOTZjl35syZdPDgQfOAs3z58nTo0CFbt+SJJ55I48aNM209Gn3McLrrOuQVeXEtv1Ae3bp9qz21XH7oWRotQiBwcxDwzpf17/VJvS0QhdZDP/YPHDiQ3tciUfwwp3nyySdt4italJ49exp5R+tCegJLgrOfj25O+6LUQCAQCAQCgZuLQFnOUBPX1BMPIYfkI2PwlLb9h+1pyTtL0tdff51qa2vTM888YxNm+/bta3LHtPO6zrT8DA6QMx6Ul8sfj3Lir4I8KraBQJsgEAtLtQmskWmzEeBlqBU9MhHPhJ4lvQno7XnRnjlz1nzLv/POu+n777ekUVrlb4FMbKZNnZYGDhogTXzWmrA6LMt+m8akqED2WFAcNLqJl2yjsERkIBAIBAKdCAHj03rdd5WveZMt+st6TyY3JGcuSgOPNDirtUz2/rQ3rZIL5JUrV5nXm3nz5iV+I+8akXr06qE89OVY/7oiu3SVLaEnWWbfmhVnYk15QfWN0CtVhECgrREIQt/WCEf+V0UA23n3TMCS79208BPHkPyjR37RS/WT9Obbb9niII8tXJjmPzI/jRw5MvXr09ds7ss6eHc5xrWmOeGNeiXOHiv4XfX+RIJAIBAIBDo0AiYDsiYdAo7Jja0CK+aNv3ps5JEXmXxD6s+Y7Plm86b0gdwh/7hjexo/cVL6/e9/lyZOmJh91Cv9RcmrGhYqtH0VYvmCFOY4kHmVA93veiUh1KGRjcq3IwSC0Lejm3FLVkVvvXPnecVekovJHqaRh4zz+XP7jh3pPdnKf7p2bRpyx51p0eJF6WFNfL1ziCYqyZaxYkvjL2LeoOTElpepbOgtWHwT6AahbwKYiA4EAoFAoPMgALFGztgXXGnRy/LD2He9psoLjmTQ6d/OpB9/3JE+/nhZWr1mderXr4+Z4MyZNScNGDxYMkvKJw0GuuK4QXJIDF8fnI3Ca8vAAX/2aO7zYKJeEXEQCLQyAl0uXTwfQ8dWBjWyaz4CmMic109r8tkLlkmsv544nj7f8Fl64603066du2S/OEX28k+kCdKMYMdo/oF5eeo1mf/rk6c+o5pG3mJ5ffISrb6zm6yREfp4BJrEJ04EAoFAINDhEZA8KKxeKooea1MhQ6T0cflB9IX82VjyBYXT+XTkyCEpltbJs9o7+lJ8Ms14+MH05OInU+3ddTZ/C9IuXi+Zw4TbgtzryLT+kP0QMR2+B3WEBoSXm45wlzpaHV0jbkoJPj3iv5dtbkjWaGTtubkDE6G/IE82eKU5fPhweuvNt/TifM/I+9NPPZVmasVX3FH26tXLlvQ2TUgJk/KLuBQdu4FAIBAIBAKBwDUjgMyyL73FlXhNO3XqZNq9e3d666230rp16229kz/84Q/poYceyrJJX40xvUHM+RYmzxwvzwtZhczjS4Gb/HDcUKZdc4XjgkBACAShj27QqgiUybW/xCigHok3gq/Pn9piWsM5XphbtmxJ7733Xvriiy/SkCFD0osvvpimTZumz5z9TCuPZr6cv1e8sTg/F9tAIBAIBAKBQOBaEKjILoi9LizLKrytIaeWLl1qZqKPP/G4Vph9NA2TtzU83yCPkGkQdY5rCtNPI/puBkqeBZEnfaW8a6lkpA0EGiAQhL4BIHF4fQiUyTUvKX7mX56Xl4K/1HjhOck/fPhIWrlqRXpnyTvp+PHj5opy0aJF8mYzyvz/cr3ny9b3/SXox9dX87g6EAgEAoFAIBCoIlCWMUbSJc/Y/qL1ULZ8/31688030w9yczl58qT0lL4mT5kyxb4s28dpZQOh95A184UZqORYJShPCbXKYewEAi1FIAh9S5GL65pEwF6CkHmlYN8JN8TcNfLE40t+79696bXXXjPf8oMGDZIXgd+nh2fOTLdrwhEmNp6HF+Z5+XFsA4FAIBAIBAKBtkQAecUPUxps8JFj586elXvLn9Ibb7yRPpInHOTXP//zP6c5s2fbV2XSsRgVMst/1JF89CfVFIse2nFbVj7yvmUQCEJ/y9zqG9NQf/H5Swq9g78AqQHaDV5uLLeNaQ32iN9L0zF9+nTTcNx7771Ve8SSZt7zuzGtiFICgUAgEAgEAoGMAPIHuWVaepF5fXbOZF2nj0hbv3LlyvTOO++kY8eOpblz56ann37a1kvp0aO7mYsyAEChZeY3BcE3kxtdj3wM+RY9rTUQCELfGihGHhUE7MWklx+adV6AaCJ4CaKN4KVG3KFDh2WD+K6RedKzEt/8+fPT8GHDUjdp7fF0w8vPg+Wjg3jpOSKxDQQCgUAgELhRCDiZN0JfkHvKJh4tvK0wKzfLf331VU2YXZfGjR2X/uEf/yE98MAD9iXa5n/lC6zKHEPoWW/F9rWNEAhcLwJdLl2Q49QIgcB1IICXLg9O6Dkudyx8y+PXd9u2belVvfRWr16dxo0bl/7+7/7O7A779OmTunXtpjdkJu72AnRS3+BlRxlO8r3cxrY2qGjsRMQFAoFAIBAIBAIlBK4oV+xTc568CqlHUWUBpVURmP91Xs4d3tHaKZjh8BX6b//2b9PixYvTnfLShrJK7txMLrKfBwnS3Bcumz2f2AYCLUUgCH1LkYvrKgjwiuK1ViHwetmheeAFaQRf53jZffrppzaJaN++fWmm7OSfffbZdHfd3am7Pkt2h8xLKY9mnncl2gteeFci7lc6R+Wu+IImQYRAIBAIBAKBQEAIuKxqFIyCt6OUwo5egokLbHtJcRe0j+yC7J84cSJ99dVXprjaIa39ww8/nJ6TrLvnnvGpvzy22arokpZdu5QWR2y00IgMBK4NgS4Xz1+o8LBruzRS3yoIYEBjvnT1sqpHku29ppeYFuHwl5lhopebv/joXEx8xRvABx98kAYOHJh+97vfmScbJhH1kKYi2xJWJw4ZUS9eoIq9VWCOdgYCgUAgEAi0RwRYHEoB+efE381vOIbkQ9SRg5jg4Ib5yJEjJveYMDtwwEA5fPhdmjtnXuo3oF/qUSO5JwVWjRZERH6yGBWKMWzsrQztI/vMJKeIa4+wRJ3aFwJdZAoRhL593ZN2WZtLssziZeWaCfNW40ReLzIC53kZ8aLDDh5NxXfffWeaio0bv0oTJ05KLMQx5b77Uk95sLFr9EKzZbPtKP4EAoFAIBAIBALtDAE08gpO5l3N5OQJJZQTfOSgHx/75Ze0bPny9MrLL+sr9YnEQolPPPGEJsyOVF6SmdjSS452q+lm16A8M3KvOHRZaPHPXTin842vwdLOUIrq3GQEuoiYeZ+8yVWJ4tsrAryg0Dhg185LiwBhZ99fYpzjDYVGAe38Ea34+v7775s7L65dsGBBevLJJ23xDToc6dHOu1bDMi3/4W1XhOqex8Q2EAgEAoFAIBC4OQi4uadvmSNW9lZjK8VKhp2Ttv706dPmyW2JvOB8Kc9ud911l7lnZoXZnj17GllHxtpXbW3ZJ5imXnmgxS/PU2usxT7QaOxcxN06CISG/ta51y1uKS8qiLu/aMiIF9gFxUHM+cRI4MXVo0ePtGfPnvSXv/wlrVq1Kg3V6nn45p00eXK6Tb7l8T1v+RTEn4EBwTUedmARpZgSua+cj51AIBAIBAKBQOBmIFBo7L1o18hzDJlHNhKHbPSv1kfl3pIVZl9//XU793dyCPHYY4+Z/3rSIkv5OTln6wMG33p5l21DRl4Gya0YEW4rb8W7fo1ttgmqhdaAFxQvHUi5uaFUXmgWePn8+uuvaf369XJH+Wbav//nysTX0aNHG9Gv546SF1DxUjTqXux71covMH/B+bnYBgKBQCAQCAQC7QUBJ9/ILdfWuww7qwWonKjjp/7rr79Or7zyimnt58yZk5577rk0fvx4WxXdr3HlGYo0v7aptnJNyMim0Lm14oPQ31r3u0Wt5WXhLxh/cbHlxQWZ54XCbP4PP/wwLV26NOGCkpcUs/uHSUOPnSCknReTT/LhOo71Jqq3PHaLKhgXBQKBQCAQCAQCNwkBZCDKLuQkP4g4wbaF8srkn+L5kr1z505zErFs2bJ0h1xa+lost99+u5Fz8kBhxtZlrpP9m9TEKLYDIBCEvgPcpPZQRSfw+M+9wGdEVYqXzcmTJ+Vb/of00kv/nTZs2JCmTZuW/uVf/iWNkVa+T9++Nmufz4/+knNtAtp6y7M4d1kbeQkS9KKMEAgEAoFAIBAI3FQECmLeWB2cbLt2HtnmZJx9l3WkI555ZWfOnLEVZl966aX0008/2UrpL7zwQho5cqTs5iX3lI60jYXGvmo3li7ibi0EgtDfWve7Ra3l5eO27v5ygtHv/3l/WrNmjdkFQuwfffTRtGjRooSJDZN9PG35xWYvKF5wTdTksheVEjaduolMIjoQCAQCgUAgEGglBJywV7JrIMOQdaThh2Y9u5+Uhl7easw1paRYWQ6SDxp9SP23336b/vrXv5pHuHvuucecR0ydOjUNGDDAikP2lstHRrr8vExe2hXx51ZFIBaW6gx3Xk+1P+Bi0ZdrtYlrGNAAFKFLF1FmFgz2KKbU67xPhGXLj0+GkHvtpu3bf0gvv/yKtPLrTaPwu9/9TZo+fXrq379/6oVLyuKFx4uIl11TwYps+nRTl0V8IBAIBAKBQCDQMRCQH3uTg4VcZB+ZyhaZeuDAgbRyxcr03vvvGcnHteXjjz9uTiVwNGHCGTkpWS3VvcRz1vr7IKICgstaS8dVWZZ7dCXdNeyEjL4GsG5y0iD0N/kGtErxkOYqpbcsfUR/JTLtZfNysJcLvuaxay+YPXkQ73kxuYeJr19/vUm+5V9Lu3b9mKZMmSIvNv9kpB6tvNvF4xmH6yjfr/fyytt4WZTRiP1AIBAIBAKBzoZA2e0kMpGfE3pv66lTp9Jnn31mE2Z3795tc9BsNfW779aE2b5KdklfyvEqh219F3N3KeGapbW2hKq8dy2Z5K+R+qorTNI1lMnV6zhbP4SMro9Hez4KQt+e704z61Z5WTAMLx7sZl5qyS5dumDbrl275Yk4yoOXTSb3OSfIPHZ+THz98MOlcj/ZLS1e/Li0CIvTnXfeUXmR1PNko0ud1OdcGv9bKBMaPxmxgUAgEAgEAoFAB0bAFG4umyHzBaGnSWUZiRnOjz/+mN6Rz/p169bZyuqLFi0WuZ8pOXuneYtz7bzD4fPR/Lj+lsm5UPJM+Oufa95REPrm4dQeUnW5eD4WlmoPN+K66lBalrpl+aBF58XCzPo8gZWXzHl9CkTTzoqv27dvT//1X/+VvtDCGA88MCO98MJz6Z57JsrOr6/IvMxxmLyja7AfxNc8gf0rv2yK14wrE1pW+bgqEAgEAoFAIBBovwgYpy5IdUHoqSyacSP0fAmXDEWRhgnOkSNH0tq1a0Xsl+ir+AlzAf3UU08XX8J7mEKN6yqDAeWD/CXYX9tHsOrHf3aL86S5lmD5cX2Edo9AEPp2f4uaUUE9qGgA/OVw1Sv0dNd7PnXsGnnbQs4V0Bb8oqWrmfj6xutvpF+P/2oTX5/S8tWsdte7d297+ZiZjdL7jHxeMgTy8n2LaORPvCwaASWiAoFAIBAIBDoPAlkk1pe73rpCHqMAIyBHSf6b3Ftu/f779Mabb6aNGzem2trahG09nuSYMGuKM11rMhaZ6/uWi/H4Yq9M8itRzd6xqtcjDM2+NBLeYASC0N9gwNuiOJ61MqHnASw/f/ZAluOKF4jXBeKNJp0XCi8HNASQ+a1bt2qRqLdMKz9s2LD01JNPpRkPz0j4yoXE8/MBgG9ZhIrPieTjv7DPc6RjGwgEAoFAIHDLIcBXdMlFD9W9HIOsRHZKaGbFnKJJw1fyPXv3Sqn2aVq1eqVcRl8w2/q5c+eaNzkmzCJ7XamGrLe8crZWppfFCrbkb8Hr4seevpGtXeGZNHI+otoPAl3kNzVuVfu5Hy2uCSTaNfT2QBcPbHnfM68QbK5RpL8QcKGFduC3335LX375ZfrLX/6iia+70rx589Lvf//7NEr+cXv06Jm698gmNeTjWnkvmzIok2DlFPWwiPgTCAQCgUAgEAjcqgggGwu56xAgLZHDyFL82DN3zRVkHCPbcUaxadOm9MYbb9gijhMnTkzPP/+8zF7vMc9yyFyXuy6Ty+W4zK+c88K1zdK6FBG7HRaBmBTbYW9dteJMiq2QZz3YPLQc82NUbvtKzgPPi4LfOWngz2miK1p5Vq5DK4+t/M8//2xLUn+89OPUu0/v9Nhjj6WFixelIXfcaQWiEUB7Tx7ZnVY1X3+pWF2K8ny/Wtv6e/YyiSFlfVDiKBAIBAKBQKDTIGAirsycC1JvUQUZR0OPvCx7iAMAk9+KR9G2bds2W2H266+/ToMGDkoLHluQ7rvvPps8izzGZTSmOMh9J/h2vfIx+Ux+ZKrgZeejpv+G04qmsWlvZ4LQt7c7crX66EHVE24PZX5gM3HX02qje0bzfH7jIb6oCa7nzp9LeKiBtLM9LtJ+SotAHT16NB0+fNhs5Nnu37/fCP3Bgwft3MKFC+XFZnFigYs+ffqYSY5/soPMUwdePI2N+K/WhPJ5e6n4G6Z8IvYDgUAgEAgEAoFOgEDFE921tKWQ81xiMldbZDgy+osvPk9LpXTbt2+fzWcbM2aMecEZPny4mcT269evsiYM7qS7iRMgr8vBeYITf2Q6PALuQCCefWS0hgcWF3/aNwJB6Nv3/Wm6dsXzxYJQZ86eSac0eoe0m7YdDbo07/i1xdUk5B3NOw8/PyZqtpI6AABAAElEQVS6QsR5YNkeP37cZtX/9ttplXdJXmweSP/2b/9mLwgWiiJ4evZtxK8H3bQAut5fAJy71hCE/loRi/SBQCAQCAQCHQmBFhH6ooEub8Xq0yXJbL6QYx67efPm9NJLL5l7S7T3aOYh73fccUdizttImcjivILf7bfdnvr262safCP4mjOHRp+5c931q9GvopwriL3JZpUnAQ8tiNABEOjWAeoYVeShIujBKpNnyDwmM99r8iourhi5nzhxXJ/mTpu2HRMa0vMZrm/f/DCPHTvWNO4QdTTvuMdioSjS/nbqtzRk6JD0r//6r2nUqFH2giB/XhRFDXI99NdH9eX6VE7GTiAQCAQCgUAgEAhcNwImayHVhYYdIo5Mvk+LOqK5R0GHO2mUech65Drad+a/fffddzYAgMTbud590oBBA9LgQYNNkz9o0CAz12ELJxg4cGDqyxd55W8cXuWGyc1138IblkEQ+hsG9XUUxMPspF7ZYHDTRUN+G7lrHy38t99+a6QcDzQjRoywBxPXVkOGDJGLq/5yMdnHRu+MyHngT8rshpnzn376qU244WFGo//oowvMLRajdR+xO3n3FlSPeeT5NaT7njK2gUAgEAgEAoFAIHA9CGS7etPpmdxHNkO8x44dlx588EEj75jj4Eoacj5jxoxUV1dnMvz48RMyrz2UDhw4qN/Pac/uPXKHudUGAy7LIfvwhtmzZ6eHHnoo3XbbbRX5b+Ld2P31tCCuvREIBKG/ESi3RhkVUo9NW7aF42HsqsWgeKAnTZ6cemhUzcid0TkPPHZzvtqrP7h8qmNZaTT67777rpF7TGxWrlwlrfwYrfz6uI3euR7tvJN6b4LnwzELSgWZd2RiGwgEAoFAIBAItD4CTJjtUoPMra886yczGvzS46f+wIEDCRt6NPbr1q0XF+iR7r9/WpowYZL2dbEC5joo7g4dOqR5c/vS3r0/2fy5/HX/hCn30PRjsms29pj5iHHUL7X12xc5tg4CQehbB8cbmEt+uNDO87kNgs1s90H6VAZ559g093wq0z6knGM088eOHbMHHyLP57gJEyYk/Nlu2PCZzv2Sfve736fxE8bLni7n01ijyEvZRggEAoFAIBAIBAKBG4BA15osdLvKn/1Fmdp6QLNeW1trnm742s7k2NtvvyN988236cOPPrKv9/PmzZesH29f6rkODT5f7nF9iZ/7s/rxxR5lX9++fXR+sE2gRdYj7K3kapFedGzbIQJB6NvhTWm0SnqqMlGvLj5xURpyGcZoJC2NPQ+efj4b3txVFhkxKmf0vnLlyvTxxx/bKBx3lAsWLLDR/OeffyETncGJpaUHD8yf2riG/DxPe6h1TDBSz04+ZC9CIBAIBAKBQCAQCLQAgapMrS9UPR4+bfs6rY/nFVJPagj6zJkzbSFIPNbNnz8/3XvvvWnZ8uUJ2b5v3/60cOGCNH36dLOb56s7X/LJD3v8nlL6YXLrsl5Z2j5b0iDo69eKMxHaIwI1f/7Tn/7cHisWdaoiUBkc28OVHzYeNEbqPJw8iKSBzJtrSR0Y2de541qQ4rvvtqR3lixJn6xYYZNj/8ff/o+0aNEiM7f5y3/+RaP5b9I//MPfpzmyn2OEjla/psiXRznz+Lzlwa483AXBL8VUK93cPdW1kl9zr4l0gUAgEAgEAoFAR0HgKkKuqdMej6gtxL928j6TVZlPxwTWPrKdx7HFzp0708ABA9P9MsMZJwcYNV1rFLfD1pZBC4+NfV/Np+MrvEiCCd8aZd5Fprtwiq5SDhqnKHB1pV5HgflWr2fNn/74xz/f6iDc9Pbz1PLE2pba8Jjac2tbojlPXMGu2as8gPak66Rp57W9IO064dDBw9LKr0hvanW5nT/uTPdPvT+98NzzZnOH15s1q9ek//7v/7IlpP/+7/5grq7Q9vtD7GTetpaj/ykqWq5kS/c9y9gGAoFAIBAIBAKdEYGrycdmtBnSnT3OFBI5EwOL695Ni0lJCffDD9vSfrmmHjO6NtXdrd/o0TbB9fChw2njV1+lvXv2mnYebzY9pZ3PRF528hUzHlWUkQMkv5irZ1Wj/hHaPQLdIG8Rbi4Clz0r9jAVdSoeLo64V5m0y45dD2+37t2M1OsMz59p5y9IS39atnB4vsG85pPln6RefXql5599Ls2eM8c+uZH4kB7wt956M52Wi8sFMr0ZNnRYNt1ROUyGYTiRvwAo48sqSG0iBAKBQCAQCAQCgcANQ0Cy28SxeAGUGzbvvilGyt/8+PET0gp9if/s8/XpruFD0+3yST97zmztD08fL1+WNmiy7F/lqvrwkcNp5oyHzZae+XUEW3hK/MGmwaqQLuTNCU3EvRJPtFTOEVQ/Z5SV+FIc2UVoOwTChr7tsG12zurvTXNmTpYCR/iWYda7BQi/BZ3Rf0xsWBZ65YqVacv3W+yz2wLZy0+fdn/qLzeWXTSphsLWrlmTvv/ue5tMM2vWLC060c8+zxWZaUNJ5O3b6pnYCwQCgUAgEAgEAoEbj4BJZCMNmdRfkv6tq0h3/0ED05Qp96XNWlfmm83fpnsn35sGSBPfu2fvdM+4cZoUOyANHzpc7qpXpw/eez/t+2mfkf2xdXUm/7tJSYiyj7x8VXiKqVL0RtqaK2M0gd1yyAOOckzstzUCYUPf1gg3J/+GT0Jj14i4G73WQ8doGXs3LmNUbZ/LdMDntA8//DC99fbb6Rd5rZkrjfyzzz2bJk6epAdbZF6f7HhQDx48lP6f//P/akLs0fR//a//pQk0k80OD8285U2+RZ1sawUR2cRP0RECgUAgEAgEAoFAoO0RKMSzFQRx7ipbeVxYs4DUb6d/S9u2bkvdenZPo7VAJHbzNXJb2UdmtnfdNTwNk7Yee/tvNn+TduzYbsJ+QP+BtvBUTTfxCZiGBH8Nyr8r03lL57Sg7VsdJVwNgSD0V0PoRp0vP6GNlGnEvdDG4yOWBw6bOfcr+8MP29MSTXxdIU82veXK6plnnkmLFy82u/hePXoaUb948YKtIvvee++lpUs/SvM0G/7pp56ykTsvA8tTNvQ2s135O7lvpDr1oq5S9Xpp4yAQCAQCgUAgEAgEWgcBCDhmNyjfenTrIc813dPuPXvSYfmaHzlyZLpNi00ycRa+0ENcYMiddyp+BDa6miy7VXb3P6QzZ+WyUj7tIf+kRfabCU4h3JuU8RQaod0gEIS+PdyKKzwTRq5VR9PIlx4eNO0XRfBZEGKtVnz96+uv6cHcnqZNnZpe/N3fpGlyUYU7K1scQtfzgNZoZYpv5dHm//7f/9se7n/6h39MdXfXpe56yJndzkCBfO1hpix+zQjNS9WMjCJJIBAIBAKBQCAQCFwdgUI+o6F349gu0tT3lDw/dfqUebe7eP5iGjlqpJF1mxsnYc22vzzhjJDN/eDBg82N9XfffadFpvYaL8A0B//28ACC/aWAUvBzRDGgoA4Rbj4CYUN/8++B1YAHxMm7duwBrRwXdcRu3uKUltXcWPGVia8bNmxI3Wu6paeeeCI9LHt4VovrpU9vnicuLAlHjh1NS5V+j0bvzz77bBoru7oe3XsWT6w2GsF7aDiA8PjYBgKBQCAQCAQCgcDNRQAKfakg3biezNzgkkxr+qQJ48enL7Rg5Fcbv0zjJowzTzf4nneXlJD6IUOHpkf0lR4tPhNpv/zyS2n1Dyd82TOv7k5p8rtrwiwLVhozKMqyVjcg+Ebqy+dvLjS3bOmhob9Rt57OXu9XKrgY3Pqot/ysGLFWUntYtUUrf/ToUZv4+te//jV9JVdUo0aOSi++8EKa+8j8NPi2wamnlnzmwfUAn0cD/6UWmXjllVe0iES/9I/Szo8aM9ps7siTQQS+5ytaeeKaGWJs3kygIlkgEAgEAoFAINBKCCB7Tf6KWzifxny2W9du6deTJ9K2bVttjt2o0aOyaa3LeEvfxVxY8iV/VGFrv/envWnLli224CT2+H369BGpxwRHc/esLDhCrrxp5Y3TcKKBjt4S649XKl8Sf9sYgdDQtzHAzcneuDMPgHZcM+4Enjj06xyz4BOfxVjieY281GA/z6pwc2bPSXVjam3RKBsU2HOUH6ZLZm+f8123dp0myx5L//Q//ylNnDTRtPrUrzKQUBns83M6b/uKjxAIBAKBQCAQCAQC7RABl9Gmm7uU+g3on6ZNud/s47dv3562yxx3qDTyEPRy4Ks/Mn7IkCHp0UcftTSffro2bd68Oe3dtzfNnjk7Pfjgg2nIHXdKKyhS31WLT8EPrLxM4mEH0BdllDkMJjjylOPEv1xe7LctAqGhb1t8m5+7PQuZOPOAlQMPz2+//WYj57feesvIfD+5mcRsZsGCBdnERjZvaOH59MU/e9R0HX7rebi6agLMhx99lO6UX9oXX3wxDR82zOJK7wF7ICm7XH55v1yn8n792pbPxH4gEAgEAoFAIBAItDUCrgQ0gi053rdfn4QN/Y4fd2iya6909913m9IPJaGnYct1mOCw0BRmNmjrOf5h2w/p22+/Tae0wiwecnppwmx3xWfT3Cz1LZ+iYfV4gE7UO27rxkf+hkCsFHujO4J6eR7X1i84P2Jw6mL0y0OnH1p5Jr6uW7cuvfvuu2nX7l1p4oSJ6emnn07TNfGVFd+61+RZ6aT3h5oyPC+b8Kpz3fQwsiT0mDFjbCY8n9EuyPON286XybvnQy3L+/VrXTy0PNURAoFAIBAIBAKBQOCmIOBiODu2SJL33WVS28PMau6QIm/EiBFmYiuBDtGwOpadYHA9RJ5JsXdpwmz//v3TES1C9d13W9LP+/abLT2KRCbduklv9Vt+wRNQCAaVvyn3n0K7XDx/wfvBTavErV6w3QCIfkHmnUBjUoNLqaVLP05ffPF54mGaOXNmmjFjhmnlcTFFWpaDdjJuxzxUxY8Jsb6sM1p+yDtuLYnnweNcV3zPWh7WJXI9GMNX4q5yh5QuQiAQCAQCgUAgEAjceAQQwch8k+twAk1jZcXXs3JHefLkKZ1LtrAkhN0od7HA5CX4AdXF4YY2xgM4p+Pj0szv2LEjrV27Nm3UXL0aedB5SNxj7ty5aaQGBz00WLCL4C5wCWXA6rKUrT8WUFRyLsKNQSAI/Y3AuejwXpQ9QPR+BTq87foDoAfpgn6/asVXXEktX77cVnwdM3qMmddMmTLF3FH20Ix1n8xq5L3BQ0Mcedt/FQCRd3s5e8h4+CHz2lraoj7se724NkIgEAgEAoFAIBAItFMEENkm6iXnkfvIcpPdEA/289bs2o3IG+sQYxDxVkLjAwV/4LLMAJJZB6BUPHT4UFq9ak1atWplOn78eJp6/1Qj9XjJ69e7ry1a5YSe/DKFyLk4n2inyHW6anW5dEGsLsINR8BAL0g0DxTkHHt3TGz27duXVq9ebSPjU6dOmWnNvHnzUl2dlmiWLRufu0wTr1qbuUxxB/1B9MaUb6xr7u1J54Q9ddrRf3sJsFPscz11Kh97nrENBAKBQCAQCAQCgfaDgKS1OAFf3TNJt5oV5B5e4ETfyTvpiXPOwHHWLLKjoBNwBmWZzl84n47/ekz29N+lNXLIsW3r1nTn0CHpwQceTA8/PEMTZofoKz8r1XINf6Tt1wHfAuAZQeozpDfibxD6G4HyFcrwB/G8iDwmMWjlP/zww7RVDw12b3ixmSa799u12huTVmrkF9aDPyh6bPQQeWyxNcJejbPJsf4Ac47BhLasHmurxHpSv64YbJCm3oPu6WIbCAQCgUAgEAgEAjcfAUiARLpp540QlMh6Ieu9ks4bKnLdRXwh812ZR3pMcm0dG6U5ffpM2icve5/J/Hf92g1yi/lrmi5uskCOObAgYOIt8/JycWjqa8QxtK0MG7wGsW0rBLrIDKMhFWyrsjp1vv7M5G1+uuzhojvbA9Z480l//vy5dFDLNONT/iN5omHBqPvuuy89oYWiJk6YYDPMuZr8uonQ28hameb8GUxXzWtI13h5Xony7c551E9fTlfeJ+cIgUAgEAgEAoFAINDeEIBLVLhzceCy3aS+/vgxda/PBOAX3qJsMUCEzb/TRXjJMwsCWRGcOnHSSP3yj5elnbt+TJPkpGPW7Nlp8r2TbQEr1rMxEq/rfPBAufCVfAzvyO4yc4UrBXsFYttCBLroJgWaLQSvqcvcVr3e09NE4t+04uvOHTtkn7bKCD2TVh544AFNfH1Y7qNGVpZghlpzo3ggbLU3nhAPPHi+H9tAIBAIBAKBQCAQCASagYCTblcQ2rYhpygdk/7kiRPpe1kR4H0Pn/XwlocefCjNnDXTVp5ljh/mwCggPV8GCFxrc/9ULzcdbkYVI0kzEQhC30ygrpbMOqpGrwQfiTKiJXCOOHf1RBy28ic1i3zTpk3p/fffTzt37ky1tbX2+YqJrwPlOoqHhEFBueOTlwXlxzk7Lj1s+WT8DQQCgUAgEAgEAoFA4NoRqJBwXer7cA3nMuR45swZc6m9cePGtHLlStu/55570qJFi9I4JszKK59fQ3rjKtoaFyIvEX6UnzrB6QitgEAQ+lYAsZJFQazpuJB5ftahlcAeiqLjQub3yBZtndxBffbZZ+nokaNpytQptlLb2LFjUx+5o+yKeyk6vX6VB4qCiuNKHGnIn3MRAoFAIBAIBAKBQCAQaGsExHfQtp+Qtv6bzd+mVatX2hzAYVq0Evfa999/v83966G5f3Ahc5kJRxJnYR8OA7+J0HoIBKFvPSzrEW8muVoHVv4QeIg4nfrM2bNagW1bWrJkSaXzz5kzJ02dOjXxIDDx1UxrdB2k3kPDju+E3s/HNhAIBAKBQCAQCAQCgdZAoMw54C6EcpyXwTkceuyVkvLzzz+Xd75PRfJPpukPTE+PLXgs1dbW2uJWcBY3FyYfo/LaRmg9BILQtxKWNtos8nIXlNiPQebpsviWZ8XXL7/8Mi1btsw6PxNf7fOUPlOhlSe9m9dYhy86uz9EvvWyQivfSjcvsgkEAoFAIBAIBAKBCgLON4hwBSJxti9ybqE4htTjs571czAjXvrRUlkh7Em1IvML5AVn8uTJaZBWtcfMBo5j699oy3XlcnKm8belCHS5GH7oW4rdZdepb6uD6pMSzlsLNTsd9ty5c2mXPNesXLEyrV+/zjr1zIcf1uIM87Qc812pR3etuKZZ5HRyjYH1yw+LuZMkrohil+eIQzT+BH/Q7CD+BAKBQCAQCAQCgUAg0GwECrJSpHeeUb08m8bANVBWio6Lr4h7iOt4WnPLAe2Rm0q09axwv2b1mvTZ55+Z1cFsWSHMliec4cOH27GZFKsA8rsqoc90qFqd2GsSgVgptkloruFE5tbqzfkaOj6LMWijiSOn0+effZHeXvJ2OrD/5zR23FhbZW3SpIly8XS7meX4ZyiudoLOA8JSy5UnRk9OuRjfL1+TS4+/gUAgEAgEAoFAIBAINAOBQjmYtYU+J0/kpUykC+YOLymvOEvuRuZJrl8XEfpLsjA+d+FsOnDgUNq0+ev0yYoVaf/+/TZR9vHHHzeX3FgkkL2ReV1YLqpcY+M5TZ0sJ4x9Q6C6SlEAYghUPik1wMM6spHqbAvvpjEQ8DxSLXmyUbqzZ86mI0eOaNLrhrR06cfpgMxt5mqUumjR4jRmzOjUo2eP1K0mw19vhEoP5sFw+s5TQshPS/XhsboUD1NOEX8DgUAgEAgEAoFAIBC4BgRKjLkxcu2sWpwDD/NGv52XeClKY8lIU9Ml9ejWU9r4YWnAwAGaGHtHWrZ8WcIbzrFjx9Lhw4dlX/9AGjxokBF68+anfIx7yaIB7b3xKpVhpjnOhSjLyqk6CvHiY5sRCA19g57QFKFXb8uk2tPTe/UcYFLDr0ZLH8t8iV6ZTp06ZRNeV2hk+u2336rjDk4Pz5xhflpHjBxhRL5cTj1C7/nHNhAIBAKBQCAQCAQCgQ6CgHMZCLnNJZSlwtmz59Oen3bL3HiDfuvNJAebeuYPjho1Wmvt9LRJszQRLuXK0soAoUToy/kHub+8U8Sk2MsxaTKGTkqH4t/Fi5rsqv2zso+n47HkMaupnZBveWzH3n1nSdq9Z0+aM3duemT+fJnayC9rn75G/OmwEH/3wWraeOu9TRYdJwKBQCAQCAQCgUAgEGh/CLjGvuBHaPHhN0Rf1JxC5hEeP34ibdnynSwWlmq7JY0ePTq98MILadKkSWlA//4VzTy8yrkWDXViX2l0I2VVzt3iO0Hor7ED0Nku4rlGWwLa+G5aFY0Z3vv27Uto5desWWP27w8+9GB65JFH0qiRI20E6hNBjMx7pyzK9/yKw9gEAoFAIBAIBAKBQCDQrhFwAt6wkmjbCbYV38Gw56zcdrOI5qpVq+Tecq20873SrFmzbF7hqFGjxJu02JTSutmNOQphkFDwLc5FaBqBIPRNY1NvlGjJ1JlsdTO26mB0Ljoov40bv0rvvfd+2rFjR6qrq0uPPvJomnzv5DRQrppYWMEnvnqH9A56heLjVCAQCAQCgUAgEAgEAh0LAXEjuA70u4u2UHs3pzknvnTw0CEzR0ZbD8HHhfdTTz2Zxo+fkPr06WMuvLnerBlKLXf+VIqK3RICQehLYLDrRN06jjqUEe9idOhJiUMjrx6bDmvi6yeffJLef/99+6zECmnz5s3X56RRqbdmcjtx94kfVkYuyDo4591mzPOPbSAQCAQCgUAgEAgEAh0GAfEhEZ561XUeZcRe51xrTzzuLSHzH330kWnrBw0clJ56+ilzb3nb4MGmpSc3lKhsycMJvfMqOFjDMutV4BY7CEJf3HA6iHcWosr7dBo6FZp4Fn8iYBO2detWswdjsSjI+8KFC9MDmr09coQmvsoMh0C+dGLvgL7lnJcRhB40IgQCgUAgEAgEAoFAZ0MArgPPKXMhlKLwqEPS1rPY5sqVK01R+uCDD6ZHH3003X333WbdYEME8SjMb5hoS4BHlblUZ8Orpe0JQl9Cjk7nJNujLU6EvEZEHtt5utPx48dtRLlkyRJzwfSwFonCDmycJr7279fP0tLZLvtcpHzcNszzj20gEAgEAoFAIBAIBAIdEQG4TkPe1Gg7IOOltH7NeZH6X+TO8ptvvknrtPDm1xu/TkOGDElPPvlkYgHO3jLBwcLBFZ8+KODY4xot7xaM7KKZyHnI08Ebf72NqHzSketJLL8qnUYd6eJ5TYJV56ED7t+/L7377ntpufyqnlf8s88+k2axAtrQYamn3C/Z6q5gCaGn8+Zd+15U2Vec9W3SEWwImnfjbyAQCAQCgUAgEAgEAh0aASdl4kEQnsx/MvmHX8Gn8AwIF7ogbf2Zs2fSvp/2peUrPknLly037fzCxx5Lc+fPS3cNG26ORS7gXVBcDLt88yxYAy/LKFGMkSlF5LKMdlUgdI2+DyQsNRzNM6ikrO5cLzUrqlbNsLLX+JnLy7s8ppJFIztdLl3oJIT+2tp9GRS4jqSTQcLPnsO0pnvWyOtmYz5z9swZjR7Xpw8/+CB9I9/y47Ti63x5sJk29f50Oyu+yg89HcZ/EPrrrNJldYyIQCAQCAQCgUAgEAgEOgwCBWk2PqR9GPgFs3YQoZe7b4jSxQtYR8i9pfzWHzl8JG386iuZ4KxIe/bs1UTZ8WnxYlaYvTf16t1L117UWj5o5zF/zubQRsqVbxcbIGSyTzkWr7iWBruyce7drCwvNVk0mV6ecf3kOmo6g0bL76LFkC7PtdGkHSCyPhr1K6ybC8luKthqr7rxNnIUJN26d0u/ySVljx4906/Hf02Y17yz5B0j+4sXL05zZs9JI2Qr37dvX+uQNXRMhSqhtyOLiz+BQCAQCAQCgUAgEAjccgjAvQgF/4K4X4LAGxkXJ2M9ThH03347lbrX9NDhBVvPZ8+u3WmF7Oqxre/Xv196+umnzQ04C3Xi2757jeYpQruM2mFfL4WsRgdG6okWj+MLAOVC7F0T75p6qnTVcL3suEnK2VTGDeIvZV551XoWCTrPSrECrgEUjWLgN7PeDVZKrsVOy0aO3Hxp68/r98O2bekDaeWXL1+ehg4dmp555pnEpI3bbrvN0jNJlrSmj6fv8O8KA4dGKxWRgUAgEAgEAoFAIBAIdHIEjMqbi/rM2LCDvyAOBffKfuh1UpppCPq+/fu1rs/qtFyeBE+cOJGYr7hw0cJUO6bWfNhzLQE+57zL9onTz88rQYUfOsduDl8k7xsbqrWyel67hl5DpU4SrqUheRWz0hUFCadTQdJPasVXFonCHeV+dapp06aZO6WpU6dW/KR6B2LrnYjRoHeYTgJrNCMQCAQCgUAgEAgEAoEWIZC5Ejzp/2/vzJ6ruq40vq50NSEQCEkgMZvBNhjHGBs7MdiBJCYuT3R1XM5Dp6rbfkhVOn9Pd1ceXN3JQ9pxdbvd3VA21TaOHeKKzewABhObySAGoQkkNFzp9vetffbVuZrQBWws8m3p3nPOPns45zv34bfXWXttzlFEStCLmO38BKBn4j7/WIr7Q5in2NnV6THrGR6c6/w0NTXZFvjWb3j0UVjuZzl7xcmx5LA4gZbeFjHxfLiGAP+xL25Z59uYboYjMwDYb+fdfM0Kx0kZ8WES4hlCiQ++vb3DfvObXxdWMtu2bZtt2LDBf0g8z4WiWC/+SLgffywTXXbsZ6LzypcCUkAKSAEpIAWkwN2kgEM64JxpNAeNx06j88hlNLBeunTJ9mAeIw2tjGH/5JNP2tatW625udn5i2EwKzDf0VksYbIYzIS9M8IgLiCOJfx6xrumwolpuPNXGbaSPxj/YcUtHhwBvw8TX48fP25vv/22ffLJJ7Z8xXJ74fkXPLY8Vy/zHwsfMkeRyQ909JanvW3uKEkBKSAFpIAUkAJSQAqMVQAMRp6KzEQjKVkschUruPszPCeY39HRYfv37/e49a2trbZmzRpMmP2R3X///e6Cw3psi+3w4/WT49hm7CtawO8mi/ZfJdDHh4wnXxit8Yeyc+dOhKR8x325uLDB9xCOcvHixe5iE39occXX+GPhjyT+iPzXoy8pIAWkgBSQAlJACkiBwEeAcYJz5KYI1aPl8fmICYgTuLmQFMvyQ85izPprsNafOXPG/vjHP7rFfhbcbr7/1Pdt46aNPreRhlemyGWR0Twz9cV8pomuJVV02uxOG6CPD4fKFj0IPGhkFB5e+jxHdEwMRcky9I9nXf6o+MMZwI+D6csvv7TtO7bbHz78g7vVbNv2N/b4449Z/Zw5/iMkxLMeF5by1zaow+N4Hd6IvqSAFJACUkAKSAEpIAVujwLgO06YpfEVwOXzEzkwINhzwuy+ffvs/ffft87OTnviiSd8MaoFCxZYVVVV6J8DAQ4Q4ha5BHhnQLaZSpHn0oCPLpFQLvynSk9tNwwZQtlgPh6JWjNef1NrdeJS0wboC7fAh5DAdBQ+CkNgT48Amc8PwT79AGM5rvhK15odO3bY+fPnEed0rT337PO26t6V/oOogq88f0zefnz44QmHia/JfuHatCMFpIAUkAJSQApIASlw2xRwNxy0RhYjhnNL33p6Vpw4ccJdcI4dO2YLFyz0KDiPYsLsHBhkPYHdfDEq1k04jlvnuqStUHC8b/bGdHNEHxGR3XJCMDoFOwLqkxN+P8k1sZfRx8wrJU07oE8/iKIbpShRveQEfwQsTws7ret8qPwRcAIsR3Svv/66W+VrZ9Yixukz9uCD37F7li3DIlFZHwDEHw1f4URrP5uOP4Si/nUgBaSAFJACUkAKSAEpcNsUIG850BOG8SHTRR7jPifInjt3zo2zjIRDxtu4caM999xzHmqcxlzyH/mQ9vF80g4aCtb7Sa4URUni/PJS/h12J6k1cipa6Ok6FNrgPfBSoqXeryh04fkjg46RVqa+N22APj7IMbfmQgWpClZ45vmTCKU5+5lQzwfNfY7k3njjDTt8+DBWfF1pP/3pT31SBX2xsoR/1Gdbsc+0X9eY/pUhBaSAFJACUkAKSAEp8LUoEFmMjXOfQB+hnnlku/b2djty5IivG3T69GmfMMvFqFavXl2YB8m6TBwIMMVjPxjnKxRH2aQ8i6R2x6lRnOW9oTqu1k+wv9BmeNPgK8Gy+QTmeT59bXG/uNWJjzL56bJSrCvDL9792BsqxN+H2g7kVA0fAjxFoptNV1eXvffee/7hIgWc9MrJrytWrPBQlLTcB8G9Mxe2MEgY22VRTmacayoqoAMpIAWkgBSQAlJACkiBqSkAFCNakcsI8ARcGme5jUBPtmNiHq31nBPJ0Jb0r6+rq/PVZWmx58KgbCcaeCPb+RxLNoBzYxLaTNA74c5SQY+e8/jDqrWBLYO7DVvh9fIPwIrvMiyqhf7p74/Esp5wrpQ0fYB+vLuKNw05hikYBKFIQbiRkQ4fPEds7mKDB93S0mIvvfSScZGoxoYGq6CvPH4UfMB8uHHiK+uxLW55brIkoJ9MHZ2TAlJACkgBKSAFpEBpCkTrdQR4shhdaBx1wXuAtADHBGR8BgYG3KX6wIEDvjBoW1ubs97zzz/vHhnRcMuriKxYAOgkj+ecJdk+P4WU3i9kTrgDMi3Ud4cfQnsyRHCgz+M+vMlyKyfPlo9wpl9TqUAPYUq7wgkv/es/wekEMVEMTxQB+z7SSR5sHHmxDC3xn376qW3fvt1dbR5++GH3rVq1apW/hmEZQnwA9zz868sB78Hn3iEe54aHAfvwefI+4gVoKwWkgBSQAlJACkgBKfD1KADMI3dlSPVu3CbwIvLNEJxYAPXObWA4J0N80TedFvUczvdcu2pHP/vMdiEKDt2sGYL8hz/8oZEB3b06zpWMV06WHJUyaLsY6FmgFGSOQM+28XGgTzrBPQ0D6NmcD1pwg86uyWkvX1JfqDGcm0ZAnwg+zOWDUyMXh3KMbOhqwwdMaztfy1xAWCNGsHn33Xcd3jdv3mybNm3yVy+1tbWFibKsX55MUghgn1jk0Zb7z3PrqheU1o4UkAJSQApIASkgBaTA16UAIT3gOrga5AsWIxoTqT1qDPslEOMc88jLtITn4TJBi35fX7+dO3/OPv74Y49b39fXh/CWG+3pp39kDG/JOZNsMybyXzpx+ED6mzih30lPB9951g9N+wXiiC2HFK+dfXNAMml7sdIE2yKXG44SJk2je4o3H/PjcbqReA558b79kSR9+UNKlffs8dphfbQVy7PcICe70hUG5TkpIvpWEeiPHj3qE18PHjzor1tefPFFu/fee62+vt6j3Ix9cDe6+dRFalcKSAEpIAWkgBSQAlLgW6sAjby5oZzPn6Snxttvv22nTp6yh9Y9ZC+88IK74FTC5dq9MXAX5EIyZvTy8BsL5nN/K5CnRZ3lkg+nu/Ioulw7vuNkGF7gFIzPGXyymaxb4Vm7DMbnDHbKMPrIAYq55BbrV8AzJFORhWGaVn3W5QClNC4tDejRRzrFm0/nTXU/AnUE9DH14kAguSGWYx1+hgDyhHh/CMj3hQfQAEdkjC3PFcTefPNN33/yyScxGnvaX7dUV1c79LtESVveL9v2RzTmKpQhBaSAFJACUkAKSAEpMM0UCFwcDME9WGH25MmT9sEHH3iIy5kzZ9rWrVvtu9/9rjXMbXBKp1GYXJn2148o6oSNBvP5XLCvO72THVMpOWAdp0rCeSYAujMvYJ4TYOnKQ+bM4QiOQygCLxH0W55FiHTQvTsOsQxvoIR0S0A/WT8R2NNlJoR3FIrlY5kI8LE+dYouNRQ7Qjmt8azL8l988YWv+Pr793/vAM9JEJz4Onv2bKsBzPuKYUmD7jdP6z5TIm440LcUkAJSQApIASkgBaTAtFYAoEgmJjOSETlh9sqVKx4BhxEPOWF2/fr19swzz9iK5cs9QAqBPkI90JJ4mHxhzirBE8xJg7KncBK7yXHIDZ1iH+8HcAYN0KU7gfNBZ1byLLIxgOAHFI8t+uU+khuYU27lnjmFr9sD9LypeINT6NSLlFAnArtDPirTIk/BmU+g7+/vtwMH9tvvfveGQz1HXFxUgOEoOQpjSrfB4/jQuM9U6kgo1NK3FJACUkAKSAEpIAWkwLdNARqB+UcDrrvfwLuDcE9f+s8//9xj1jMazrJly9wFZ+3atc6MtNTTYu5u6LCyE1eH4bqT6x+0YfcQATMCuGlNR9OjEi3uyEKdfBmi2BAu+Z98eJDJBN/9bGU5BhE0NmfRHxpiPgrS+OzzN0cPFEb1NPqwJKAnFI9OhOyJUjzntUbVdThHXrrNQvmkbDyOZdlPzGMsUT6YK1faEJro/zy2PCH9qaeess2bN9uiRYuMK7xSHF5hoR9eb9Iv8wr5NzEamui+lS8FpIAUkAJSQApIASlwBxVIkJUwT+Mv+ZGwzkRD8LlzX8EF50P76KOPPI/8uGXLFg9tHudkcsu6xxEp5+Chg9bZ0QnYDm259T1BYG58F31yIECkxMpGjuSMylNgc4B7RUWlLVm8xNaufcCamuZZVVWVZeFDX5jHSoM+rrUsn3iR+NXd+Ct74yIjJSJMj+Qke+g4uafCNfvNIZ+J34muBSAnSLM9fiJUx61XYr3kPEcqfBXBY4600nUOHDjoISmXLltqP/nbn/iKrzMRwaYSAvEh8GHEvlCRpvnYPDvwthzwR3K1JwWkgBSQAlJACkgBKTCNFYgMSQaMXhk0BDPV1NTY0qXL7MUXZrs3x65du6y1tdW6u7utpbnZuZH1yJG9vb227+B+++1v/91OfXkSE20H3asDp0HuaM8hF2yagO4QrPLMKocrTTms7sPwlAfpuu99DoMBrn301JPft3mNjTZ3zhzLw3c+z0mx+As16YGCFthICakkoC+0SzBOUmGPcMw8v8MA47GMb5PzUcwCvCPf3WcA2hS/KLFOUi9CPaPZMMXFAVavXmO/+MUv3GeeVnlOfGViPz6ygiW/HPFGPSXX5vtJu9yPgw3P15cUkAJSQApIASkgBaTAtFaAnOnuK+C9GDEmzp8kW5IRZwOoH4YfPfkRWdY8f55l4d0RGJWLiyJKTUUGkN9kDz34gLU0zbXhQQRmQSrj2CAY/P3YvxKM5YbISU+aIUA8ORPTXj2qTR4+9atXLbe6WTNwDZiEi4aG8GE0HJr2WTYf/H28yal+leRyM16jaQgnRLuAvJhRhZnPshHoCfEO6xQV+z5hlWqm6qbb9nycj/WoPEtHwOeDiTFFYxnWj/3GPNZzlUODvu8PTi43VERJCkgBKSAFpIAUkALTXwGQsVNlivsclnFnkQ/JpPw4b6KcT0xN2LEsy4g3Q+4334NFShlFMcNjlGfESsJ+OgUHG/eX8Y6HM4zICJDHgqXk/qEB8qd5uMrKmmqrr5sNb5JqWOhxlgzL8JZwzwmDEBb1q093Mel+SUAf4bhoixtjPHj6q1MQgnMUh+X4icv0+nkcexmU5asMJh4TyF3Q0ZeLcvGWeJ5ts02WL7RPcXGukHA+pvjwWHayxLcbSlJACkgBKSAFpIAUkAJ3gQLAvnHRLsWVkR1juTSHkk153vExKZDnpFgm5qP1fBm25F4yKKzq3HqseWKpl8MXgZ0kP5zzoC50wEFMG5ruAfE4A5cbgHDyFgGtEleZXzxeYGuTpuKVYtnIjRLvDBfMC43gTriOcM4mCPiXLl2yixcv2LVrPbjOjNVhJNLQ0OivM9waj3J0m4mwf6NuC+cpIm8cHwrvkI+BAY9ju7Fs0e3guouOY6H0Nnlg6SztSwEpIAWkgBSQAlJACkwzBSaAvjTqRYCP2/QdOtAzAxX8PBaWClsY1MG1brCGqT4HBiUVl3n0GoA4t0ikTuYN4c+PwaGcUDvMuuBXAj2hnW8FyuBDjy+PbhN88cG0jGNfQiryoU/f5Hht0I+d/ugsRxDnzUao543R/YWB+7ka1549e62zs8NfUQzjomfOmmkLFy60xx9/3J599lmbN2+eHT9+3D788EM7e/astxP7jMJGCzy369c/giV7v2fz58/3ftkX++eggIMJXlNqumtoCvXSabL7Ky6ZrqV9KSAFpIAUkAJSQApIgemmwITcR6CeIHnwFZwji+ZB3DRKEyc5rdXzwMJDhG2w51AOsI4P7fWZiiH421cinCXqwE9+aGgArYBT8T04OGA5+N6TV8nR5VwVFmzMlMtXWLYSRm7GqyfJol/gLTclpSILfRgVTF6fcM1EoOdFMXwkPwwB9Kc//cl+9atf2V/+8hcP4E/oJvDz1UIGEfkJ4HMwAYFL7r7yyiu+4BMD/XOgwNcUY6A66Yt9crJrnPAar4HXwX0KnM5jfqnJ+y5RvFL7UHkpIAWkgBSQAlJACkiBb0CBMVA50mcR7qXJOeFOlgy+KCxJF/EQKj0DuOfEVdC8DV7nQlXtdhWhLHMA9qb5LdbY1OBRFp1p4cvNCbEk8154q1w8f8HZmItItSxoseoZtYBYEDJcbrhKbLac6B9M07wMsnEpqchCP8m9k5wdmt2HnV3iFUG0zjNIP0P+vPbaa3b69GkfsTQj7M99991rtbVhYacLFy7YiRMn3GLPFbrmzp1rL7/8sgM+QZ+fiYYjLmcC7RHc01b8eMOTXn8spK0UkAJSQApIASkgBaTAXa4AqHACMHSXlwjvcQvOjKDPaqBeB26e9nmWbqCGnzxgfmBg0E6dPGP/+m+v2e7dH1ntjBr7+394xX784x+Da+tgqa8C0qIFuNL0weB98Mhn9s//9C929Ohh46q0v/zHX9pjj22wGWBkGsdp0WePsf/0GGOqDykbAZkVbmSh99CRAO9oEY9QferUKXvrrbd8lVauzLp582bbtu1Fj/E5a9Ysd8Xp6Ojw4P2vv/66u9js3r0bQfXXGld1JczHNnkd8Zpi+xSe/vHMj3mxDsszxTrhqPRvf1gTPPjSW1MNKSAFpIAUkAJSQApIgTumAJguAvKYa4gQjxORH1nWQZ+Fcd7zwZ90jckNAvbhmZIFixK+6XFz4XwruPeUnYQhe8WKlXCjqXCPlXwe/vC04gPU0ZANwNXm7NnzdvLMGTt77rytWHkvQB7WeawQy37oxcIL9eEEuZ4DCRzH62LOVFKRhf5GFfxmRxUiqO/cudMOHTqEia91Dug///nPPS48/dvd8o46s2fPNsJ9T0+PW/K/+OIL46JQ69ats9mox5uKsB63ha6SczE/fZPpfZaPx7FsoQ3tSAEpIAWkgBSQAlJACkiBlAJFvAjejCkPaudhGVzGQbOWh997GUCdLDyQG7RWBH7p7u6kD7otbGm2xoa57hqeRbhLGtzpmo61pawC+22XLtjVrnYb7O+zBZhDypCVGBv4IlVsMMtIN7As0zJPjvXLYEclJB8LTLU84ZxuNjHRR55g/s4777ij/8qVK+3VV191mK/ESIXx5aNbDuG+fk69r+TKAP70u2cUnM5O+B7hppkijPtB6n0D89l3/FDuwgNIlaMSzC86x/PpMt64vqSAFJACUkAKSAEpIAWkQFAggHSwzKd51LkS4Em/+AGEnhzI9VtPbw+AvtWutF1xd5zmpnk2t77eqqoq4e1CEie3YjLs9V6UabOLF87bAGB+Ngzbzc3zbdbMGqsAF2fc1Yb8S08UrhaLVCLIh6vHoOBGbjaxILc+Oxe+80y8QfrO79+33/3iZ8IPaMOjG7CaVos7//fgiugX5K8dkqGGT4DFqwsuADWEVxA5DAgG+jELmK8m0F7RPXgd72oE0MNh0fdEdbxQqo2iSuMclKLDONWVJQWkgBSQAlJACkgBKTBNFSgYg5PrJ0I6zNMozOAtMD6Tg8tw3HP1ml26fNk6r121qpoasC+Bfq5VVNagNjxOWD7xue/uvAKov2D9vf2YV1qHKI+NKFcB4Af0l9P4Da5mqEv68aBTHw+glVK5tCSXG96j3xwukiDd1dVlhz495Ftcgv36N7+2N//jP3kvbm1363xSh3U58qBlvrurGzeB1xfM48VzGONni/AceUpSQApIASkgBaSAFJACUuCbV4BQj6VMsYAUwk9iPwvapg36et+Ae5jQU6UBlvl585utFnNI4WBP+zTCWobIjRwAtLe1Wysi3PRev24LFy+1xsYmq6md5T739Mmh5b8cXG1w7SkkB+TC0ZR2pgz0BHkfbeCm2Dkv8ty5c3CbuegdMaTP1e6r/nEXGajA8sMYcZQjFA9HK7TBM8g+/ZIqy6swysn4KwceczYwRyZKUkAKSAEpIAWkgBSQAlLgTioA1IUVGx/ElSfEZ/IM4AIGHqL//EVrvXDJrvf22Zzlc6wRFvpsZbVPdKX7TBkGAVhE1gYy/XYek2fb2ttRL2cLEAGysanJKivplQ9ORqH8EAoC5sMQILnjm8DhKQF9fA0RV4RlP4R2WtvpdkO4Z3SbupmzChA/BNca+ryX0z/IRyyEdg4KGDA/gwmydTa/Zb5VV1X76wa2R92UpIAUkAJSQApIASkgBaTAnVUAiO1gTR8UEj35Pm/Xr/fbmdOn4HJzCWHac9Ywt8Hm1M2xigpAPApFNIfp243ZX549Y+0dXYhJP2yLFi+wpqZGjztPNuZIIfTBLQcMN0/C2dGVCdbplD7PM+7/DoAPcB4gndFtNm3aZK++8qo1NfJCMU7ARXG1rWjNJ9zzNnkD9A+i5b66phqxO2vDDcBCP8qLPn0Z2pcCUkAKSAEpIAWkgBSQAt+MAo7D4FyPBUNGJfsOIVpjl509c8o62i7By6TMFs5H1BpMdq1GMJhMPpesHIto9YD1rqtd9tVX56wTHiwMd3nPksU2GwuswsnGDdwBi9FRir09uo4PC0qDe7oEFadRo4N4ns160/hiVBpa5921hqCOC2FUmxa+SgDQE8y54hWhPw4QBuBn1Nvb6x/m1wDmZ2NEw3BAoWEf/BRfi46kgBSQAlJACkgBKSAFpMAdUIDu4GRaToglc+cA920X2+FGcx5g3+cTYhctWWINjXPhXs6I8iiPwC+01Q8O9tmxY8ftS6zVdL2vH5Nm59iihQvhoTIb7jmIcIN2ydiR5YP7eXLs/FzaDYO6p1aBnRLE+VdZgbA8GHnMhHW9phouM7iaTrxOaLtyBa8SmnwUEv3tWYcwz7A9O3bssN+98YbVIyb9T156yV7E4lN0uWHyabHxrjxHX1JACkgBKSAFpIAUkAJS4JtXgEs+kWHpbZLP5LDPyDVmX11oxfzRyzYAyF+0YJE141M9YyZgHx4oFYxZX26DiE3fiQAw+/bug4X+vHurrFy5whoaGtwdHQjt8E+vm0j09FzxMJbo05NvWGBqiUOEkRThfoK8sDRtCF9ZCbeapnlNeH1wj31+/HM7dvyY7XrvPV88qhkB9hlfc2BwwPoRlrK1tdV27XrP/vd/tlsbwvwsXbrUli9f4VZ83gDbzfhdjVyK9qSAFJACUkAKSAEpIAWkwJ1QgAZszvmk/0gZQkvmMHl1GC41ly9esjbEnx8cGLQlCxdZU0OjMzkjNmZA6rlheKQgnOW+fXvtDx/uxuTZi6iXsQceeMAWLGhBrPpqLBKLsJVw33EXFbA3Bw4epxLW7REEH9mbyv3D5WakAi+eh2Py2BJOOXzzgnGDtNDXwdL+xKaNtufAXqyCddnefOu/4C/UbT/YssVaFizwcJaHDx+23bt3G7fd3d0A+eX29NanbdV9q6yyusonDKBpdBp867mrJAWkgBSQAlJACkgBKSAF7pQCeUS3iVzMLULB2CDCVV6+fBHW9ys2NNBnzZjg2oQVYn1JKID8UC5v3R0dduTPf7btb/23HT12BO42123GjBm2bNkyuJpzhViAdgBf3JrvBO72fPSELHJ4msWnokFxlJtRMO8NIC8mvn6IFvU8Qu3MQDD9RzY8Yls2b7GdO3fiJi/7qrF79+6FLxFGM/Czv3r1qsfq5OhjIXyHNm/ebI899hh86Gs8Ig6bdz97f8WQ6ix2qq0UkAJSQApIASkgBaSAFPgGFSBQx/WUYMtG4tzQIUS56fOFUZnT09ML9r2ElV9nWPmVSuts73Sf+Q92vWsff/yJdbR3YaJs3urn1Fv93LlWBUM2moUlHxNsfZBAoGcGY8aQgdkr8gLns4spp1ErxXozoyojz2Gb7ftUX4d6vlrI4o8rw7788suWrci6Jb4NvvLHjh1zEQj1FZgsyxHJylUrbQss94yGswDWe1/yFj0xjI9HwEHZ2M+oC9ChFJACUkAKSAEpIAWkgBT45hSAm4wvfEq+hn88Q1RihSlfQKqmZhbOXba9hw5iEalhsPB8XFe5Xbpy2U6fOmNXYMWvwCTZGTOrLXftui1a1OzhLSvhbkMjtvOuvwEICM+botHcUwLz6L6kVGyhn6Aq2/T2AfZ+ITj2kJSIP1kBkF+MMDx/97Of2YYNG2zPnj32KVaPvXatx63wSzD7d+3atbZu3Tr3nWeIyyz86z3hpmIUnJChbykgBaSAFJACUkAKSAEpcGcV4DJKwwB5Jhq0h+BDn62ssFUrV9n9991vHd1dmBx7wd5/v81DVpZlK20QcF8B//i1a1ZbC+aZ7tm3z672nrGW+Yg/j/CWlVU1NMZjgAALPdqnIw//PNN7uvmvKQE9qNtfGcCU7qOKOLpwGEce3WcWL1pk8xDh5sEHH7RrcLNhZJtynoPf0BzE3KytrXU3nAjwsQ1a58Nrhpu/CdWUAlJACkgBKSAFpIAUkAK3SwF3iSHUczIsFkvNwNWcQL/+kfXW3dWJeaBZO3LsM+tp72AhqwHnNiF8+0Pf+Y49BW8UuqG3tl5wbl618h54q9RZBt4odJWnw4373WOybUzRS8UB3zNL87uZGtCzYb4iSNxjeBjDUhLI6VbDC6HlnX71GbjUOLAzvk9ihed5H+ewncTSz7pMPOZHSQpIASkgBaSAFJACUkAK3HEFyKa4CGdV7GTKsHAUQLZhbr1thgv5oqWLEeXxhHXDzWZoYMDqsQ7TwiVLbdniZTZ/fqOdOn3a3cr7MCl2zQNrsKBUPWCe3EsjOQYIgHtvsFTfmgmEyQDMp0zShHSCPLfRwg4STy4o3Djzi1I8n2QS3CmOAL5IJR1IASkgBaSAFJACUkAKfGsUIB7T4ExmDXNI4Ulvuf4cDPI564cnStfVThu8ft3DVVZgXaaq6hlWO6PGqrLl1ouION1wyxkeHoCxG/l19VaN85YfBNKjXQB9JlOJPhJuhht7wQUHXedxXEoqCejZMLstBL/n2IX9OcTzphmAP4F1FAzQjyLID6AfL46thMsOOel8nFKSAlJACkgBKSAFpIAUkAJ3SAHnXdq8wbi0TdswJ8UGzxMeD+MrD7Cnu00Cw7C6V4QVY3F+COfo2ZLJ4DwM82XllbDyA+AZf56wTmt9ho43Dswhj/vsK2kx7E3tG5FzEDRTSQpIASkgBaSAFJACUkAKSAFXIPiyE+vB2IB3RqV3sifkJ8eMgkNoD2UI7ViriUZu5pH6mRDNpmD85jn/p6cLgd4LcMwwJsXqY05MkDF1H/oJGlC2FJACUkAKSAEpIAWkgBS4mxQIOE545384csh3N3hMboW1nousEswJ/F6GbJ+4zoRaoX6GITAB+/RNoU2ebvPeIr4yLH8b/OgF9HfTr0/3IgWkgBSQAlJACkgBKXDLCgSjuXu7B2M7CRzwTYCnFX4IYE4jO5MDO63yCGFDNve6OEyM+R7ZhoOBLM+zgpvfkcOCDvOhN54qJLrllJCyodcSaqioFJACUkAKSAEpIAWkgBS4mxVI8TTBm1Z4prDBnFECPZ3jeY5WdsB6mdN8GAQM47jcA1SGemEuKVsgvBPmkw6c6m8d6EueFMtLUZICUkAKSAEpIAWkgBSQAnetAs7b/HKaT0ge+6PZm8coFoE9+tsHWzxOpN1pHN5DWQ4HPGHjXYWjm/6Wy81NS6eKUkAKSAEpIAWkgBSQAnerAiPQHV1psE0s9bxn95uPNE52j2iOMnE/YfhwBm44BH9Opi1gPI/HETDdCX88sgAAAOxJREFUzzinx2QJ6MdIogwpIAWkgBSQAlJACkiBv2YFHMQTWI/gHiHddYmWeVjgGQHHD/EVPGkI/oT35NgbA8LzJPKK2kkNEG5FbwH9rainulJACkgBKSAFpIAUkAJ3pwJO6bi1BOx5k9G1xm+YwE4LO6EcHxaPH6d5HHn5JJMbWt75KWrHG7u1LwH9remn2lJACkgBKSAFpIAUkAJ3owIR5J3EcYOJpT3eanSW8S3KcBsj38Qyo7e3G+Rj+wL6qIS2UkAKSAEpIAWkgBSQAlJglAIR2EdlFw7HhXQOAlJp1GHhTBwzFDJucuf/AZeiqbrRyApWAAAAAElFTkSuQmCC" alt></span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<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 11">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">strong (colour) interaction increases with separation requiring high energy;<br> high energy allows creation of hadrons/quarks;<br> confinement requires the formation of two quarks, not one; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about radioactive decay.</p>
<p>Iodine-124 (I-124) is an unstable radioisotope with proton number 53. It undergoes beta plus decay to form an isotope of tellurium (Te).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the reaction for the decay of the I-124 nuclide.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph below shows how the activity of a sample of iodine-124 changes with time.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State the half-life of iodine-124.</p>
<p>(ii) Calculate the activity of the sample at 21 days.</p>
<p>(iii) A sample of an unknown radioisotope has a half-life twice that of iodine-124 and the same initial activity as the sample of iodine-124. On the axes opposite, draw a graph to show how the activity of the sample would change with time. Label this graph X.</p>
<p>(iv) A second sample of iodine-124 has half the initial activity as the original sample of iodine-124. On the axes opposite, draw a graph to show how the activity of this sample would change with time. Label this graph Y.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\({}_{53}^{124}{\rm{I}} \to {}_{52}^{124}{\rm{Te + }}{}_1^0\beta ^+ \);<br>\({}_0^0v/v\);<br><em>Do not allow an antineutrino.</em><br><em>Award<strong> [1 max]</strong> for </em>\({}_{53}^{124}{\rm{I}} \to {}_{54}^{124}{\rm{Te + }}{}_1^0\beta^- + \bar v\).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 4 days;</p>
<p>(ii) \(\lambda = \frac{{\ln 2}}{{{T_{\frac{1}{2}}}}} = \frac{{\ln 2}}{4} = \left( {0.173{\rm{da}}{{\rm{y}}^{ - 1}}} \right)\);<br>\(A = {A_0}{e^{ - \lambda t}} = 16 \times {10^7} \times {e^{ - 0.173 \times 21}}\left( {{\rm{Bq}}} \right)\);<br><em>A</em>=4.2×10<sup>6</sup>Bq; <br><em>Award <strong>[2 max]</strong> for bald answer in range </em>4.2−4.5×10<sup>6</sup> Bq<em>, or linear </em><em>interpolation between half lives giving </em>4.4×10<sup>6</sup>Bq.</p>
<p>(iii) graph passing through or near (0,16), (8,8) and (16,4) – see below;</p>
<p>(iv) graph passing through or near (0,8), (4,4) and (8,2) – see below; <br><em>Do not penalize if graph does not pass through (12,1) and (16,0.5).</em></p>
<p><em><img src="data:image/png;base64,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" alt></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about atomic energy levels. </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how atomic spectra provide evidence for the quantization of energy in atoms.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the de Broglie hypothesis explains the existence of a <strong>discrete</strong> set of wavefunctions for electrons confined in a box of length<em> L</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the shape of two allowed wavefunctions <em>ѱ<sub>A</sub></em> and <em>ѱ<sub>B</sub></em> for an electron confined in a one-dimensional box of length<em> L</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) With reference to the de Broglie hypothesis, suggest which wavefunction corresponds to the larger electron energy.</p>
<p>(ii) Predict and explain which wavefunction indicates a larger probability of finding the electron near the position \(\frac{L}{2}\) in the box.</p>
<p>(iii) On the graph in (c) on page 7, sketch a possible wavefunction for the <strong>lowest</strong> energy state of the electron.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>atomic spectra have discrete line structures / only discrete frequencies/wavelengths;<br>photon energy is related to frequency/wavelength;<br>photons have discrete energies;<br>photons arise from electron transitions between energy levels;<br>which must have discrete values of energy;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>de Broglie suggests that electrons/all particles have an associated wavelength; this wave will be a stationary wave which meets the boundary conditions of the box; the stationary wave has wavelength \(\frac{{2L}}{n}\) (where <em>L</em> is the length of the box and where <em>n</em> is an integer);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) wavelength of <em>ψ<sub>A</sub></em> larger than <em>ψ<sub>B</sub></em>;<br>therefore momentum of <em>ψ<sub>B</sub></em> larger than <em>ψ<sub>A</sub></em> (from de Broglie hypothesis); therefore <em>ψ<sub>B</sub></em> has larger energy;<br><em>Award <strong>[1 max]</strong> for a bald correct answer. </em></p>
<p><strong>or</strong></p>
<p><em>ψ<sub>B</sub></em> has <em>n</em>=3, <em>ψ<sub>A</sub></em> has <em>n</em>=2;<br>E<sub>K</sub> ∝ <em>n</em><sup>2</sup>;<br>so <em>ψ<sub>B</sub> </em>corresponds to the larger energy;</p>
<p>(ii) <em>ψ<sub>A</sub></em>=0, <em>ψ<sub>B</sub></em>≠0 in the middle of the box/at \(\frac{L}{2}\);<br>so <em>ψ</em><sub>B</sub> corresponds to the larger probability since probability ∝Ι<em>ψ</em>Ι<sup>2</sup>;<br><em>Accept ∝ ψ<sup>2</sup>.</em></p>
<p><strong>or</strong></p>
<p>the probability (of finding the electron) is related to the amplitude;<br>amplitude of <em>ψ<sub>B</sub></em> is greater than amplitude of <em>ψ<sub><span style="font-size: 10.5px;">A</span></sub></em><sub> </sub>so <em>ψ<sub>B</sub></em> is more likely to be found;</p>
<p><em>Award <strong>[1 max]</strong> for a bald correct answer.</em></p>
<p>(iii)</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>correct sketch; (accept -<em>ψ</em>)<br><em>Accept wavefunction with any amplitude. </em></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(a) Candidates struggled with this question. Although they demonstrated some familiarity with the idea, they could not clearly describe the connection between atomic structure and the emission spectra, usually discussing electrons without photons. The arguments leading from atomic spectra to energy levels were not logically organised.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> There were very few correct answers to (b).</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(i) was reasonably well done by many, although many did not refer to the de Broglie hypothesis explicitly and thus relate wavelength to momentum and so to energy.</p>
<p>(ii) was poorly answered. Not many candidates understood the relation between amplitude and probability of locating the particle.</p>
<p>(iii) was well done by most.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>