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</div><h2>HL Paper 3</h2><div class="specification">
<p>A positive pion decays into a positive muon and a neutrino.</p>
<p>\[{\pi ^ + } \to {\mu ^ + } + {v_\mu }\]</p>
<p>The momentum of the muon is measured to be 29.8 MeV c<sup>–1</sup> in a laboratory reference frame in which the pion is at rest. The rest mass of the muon is 105.7 MeV c<sup>–2</sup> and the mass of the neutrino can be assumed to be zero.</p>
</div>
<div class="specification">
<p>For the laboratory reference frame</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>write down the momentum of the neutrino.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>show that the energy of the pion is about 140 MeV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the rest mass of the pion with an appropriate unit.</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><strong>«</strong><span class="Apple-converted-space">–</span><strong>»</strong>29.8 <strong>«</strong>MeVc<sup>–1</sup><strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>E<sub>π</sub></em> = \(\sqrt {p_\mu ^2{c^2} + m_\mu ^2{c^4}} \) + <em>p<sub>v</sub>c</em> <strong><em>OR</em></strong> <em>E<sub>μ</sub></em> = 109.8 <strong>«</strong><span class="Apple-converted-space">MeV</span><strong>»</strong></p>
<p><em>E<sub>π</sub></em> = <strong>«</strong><span class="Apple-converted-space">\(\sqrt {{{29.8}^2} + {{105.7}^2}} \) + 29.8 =</span><strong>»</strong> 139.6 <strong>«</strong>MeV<strong>»</strong></p>
<p> </p>
<p><em>Final value to at least 3 sig figs required for mark.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>139.6 MeVc<sup>–2</sup></p>
<p> </p>
<p><em>Units required.</em></p>
<p><em>Accept 140 MeVc<sup>–</sup></em><sup><em>2</em></sup><em>.</em></p>
<p><strong><em>[1 mark]</em></strong></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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</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 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).</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).</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).</p>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about particle interactions.</p>
<p class="p1">An electron and a positron interact to produce a muon and antimuon through a weak interaction. The weak interaction involves one of the virtual particles \({{\text{W}}^ - }\), \({{\text{W}}^ + }\) or \({{\text{Z}}^{\text{0}}}\) boson.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by a virtual particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw a Feynman diagram which represents this interaction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain whether this interaction involves the \({{\text{W}}^ - }\), \({{\text{W}}^ + }\) or \({{\text{Z}}^{\text{0}}}\) boson.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">a particle that mediates one of fundamental forces / a particle that appears as an intermediate particle in a Feynman diagram / a particle that is not observed and may violate energy and momentum conservation at a vertex;</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2016-08-30_om_09.49.01.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/22.a.ii/M"></p>
<p class="p1">electron and positron directions and symbols shown correctly;</p>
<p class="p1">muon and antimuon directions and symbols shown correctly;</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({{\text{Z}}^0}\) boson, no charge has been transferred/neutral current;</p>
<div class="question_part_label">a.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Generally well answered.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Generally well answered.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Generally well answered.</p>
<div class="question_part_label">a.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about particles and interactions.</p>
</div>
<div class="question">
<p>When a free neutron decays to a proton, an electron is one of the decay products.</p>
<p>(i) State the name of the exchange particle and the interaction involved in this decay.</p>
<p>(ii) The interaction and the exchange particle in (a)(i) may arise when a quark decays. Describe the change in the quark structure of the neutron.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">W</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">/intermediate vector boson <strong>and</strong></span> <span style="font-size: 11.000000pt; font-family: 'Arial';">weak; </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>(both needed for mark)</em><br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">d </span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">in neutron changes to </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">u </span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">(in proton);</span></p>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>This question is about a K meson decay.</p>
<p>The positive kaon K<sup>+</sup> has a strangeness of +1. It can decay through the interaction</p>
<p style="text-align: center;">K<sup>+</sup> → μ<sup>+</sup> + ν<sub>μ</sub>.</p>
<p style="text-align: left;">Charge, energy and momentum are conserved in this decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the quark structure of the K<sup>+</sup>.</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>Deduce one further quantity in this decay that is</p>
<p>(i) conserved.</p>
<p>(ii) not conserved.</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 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">\(u\overline s \);</span></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 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) baryon/lepton number / colour;<br>(ii) strangeness; </span></p>
</div>
</div>
</div>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"> </span></p>
</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 class="p1">This question is about the standard model.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by the standard model.</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">Use the conservation of lepton number and charge to deduce the nature of the particle <em>x </em>in the following reaction.</p>
<p class="p1">\[{v_{\text{e}}} + {\mu ^ - } \to {e^ - } + x\]</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 class="p1">State what is meant by deep inelastic scattering.</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 theory that describes the electromagnetic and weak (and strong) interaction of quarks and electrons/particles;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({v_\mu }\) / muon neutrino;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">scattering (of leptons by hadrons) in which large amounts of energy is transferred (to the hadrons);</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">A significant number of candidates left the question unanswered. Of those candidates who did attempt the question very few knew anything about deep inelastic scattering.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A significant number of candidates left the question unanswered. Of those candidates who did attempt the question very few knew anything about deep inelastic scattering.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A significant number of candidates left the question unanswered. Of those candidates who did attempt the question very few knew anything about deep inelastic scattering.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about particle production.</p>
</div>
<div class="question">
<p>In a particular experiment, moving kaon mesons collide with stationary protons. The following reaction takes place<br>\[p + {K^ - } \to {K^0} + {K^ + } + X\]</p>
<p>where X is an unknown particle. This process involves the strong interaction. The quark structure of the kaons is \({K^ - } = \bar us\), \({K^0} = d\bar s\), and \({K^ + } = \bar us\).</p>
<p>(i) State the strangeness of the unknown particle X.</p>
<p>(ii) Particle X is a hadron. State and explain whether X is a meson <strong>or</strong> a baryon.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>(i) S = -3; <br>(ii) baryon;<br>to conserve baryon number / has structure sss;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>(a)(i) a strangeness = -3 was usually correctly given, as was the identification of X as a baryon.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about elementary particles.</p>
<p>The quark is said to be an elementary particle.</p>
</div>
<div class="question">
<p>(i) State what is meant by the term elementary particle.</p>
<p>(ii) Identify another elementary particle other than the quark.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(i) particle with no internal structure / cannot be broken down further;</span></p>
<p>(ii) Electron / neutrino / any lepton / any named exchange particle;</p>
</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Well answered although many answers just said “lepton” in (ii) without naming it.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about linear accelerators.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A moving proton is incident on a stationary pion, producing a kaon (<em>K</em> meson) and an unknown hadron X according to the reaction given below.</p>
<p style="text-align: center;">p+π<sup>−</sup>→X+K<sup>−</sup></p>
<p>(i) State, with a reason, the electric charge of X.</p>
<p>(ii) State, with a reason, if X is a baryon <strong>or</strong> a meson.</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>In a deep inelastic scattering experiment, protons of momentum 2.70 ×10<sup>–18</sup> N s are scattered by gold nuclei.</p>
<p>Given that the diameter of nucleons is of the order 10<sup>–15</sup> m and the diameter of quarks is less than 10<sup>–18</sup> m, determine if these protons will be able to resolve</p>
<p>(i) nucleons within the gold nuclei.</p>
<p>(ii) quarks within the gold nuclei.</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>Outline how deep inelastic scattering experiments led to the conclusion that gluons exist.</p>
<div class="marks">[2]</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) positive in order to satisfy electric charge conservation; <br>(ii) baryon in order to satisfy baryon number conservation/contains 3 quarks;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the de Broglie wavelength is \(\lambda = \frac{{6.63 \times {{10}^{ - 34}}}}{{2.7 \times {{10}^{ - 18}}}} = 2.5 \times {10^{ - 16}}{\rm{m}}\);<br>this is less than the nucleon size so nucleons can be resolved; <br><em>Argument required for second mark.</em></p>
<p>(ii) but it is greater than the quark size so quarks cannot be resolved;</p>
<div class="question_part_label">c.</div>
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<div class="question" style="padding-left: 20px;">
<p>deep inelastic scattering experiments measure the (fraction of) momentum carried by electrically charged constituents of hadrons;<br>this is less than the total momentum of the hadron indicating the presence of neutral constituents;</p>
<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p> </p>
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<div class="question_part_label">b.</div>
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<p> </p>
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<div class="question_part_label">c.</div>
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<div class="question_part_label">d.</div>
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<br><hr><br><div class="specification">
<p>This question is about deep inelastic scattering.</p>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student states that “the strong nuclear force is the strongest of the four fundamental interactions”. Explain why this statement is not correct.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe how deep inelastic scattering experiments support your answer to (a).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> other conclusions that may be reached from deep inelastic scattering experiments.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the statement is true only for low energies;<br>at higher energies the strength of the strong interaction decreases;</p>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
<p>in deep inelastic scattering experiments the energy transferred to the constituents of hadrons is very large;<br>the scattering pattern is consistent with quarks inside hadrons behaving as free particles / the interaction between the constituents is very weak (asymptotic freedom);</p>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px;">
<p>there are electrically neutral constituents inside hadrons / there are gluons within hadrons;<br>quarks come in (three) colours;<br>quarks are charged particles;</p>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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[N/A]
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
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[N/A]
<div class="question_part_label">c.</div>
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<br><hr><br><div class="specification">
<p>This question is about conservation laws and the standard model.</p>
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<div class="question">
<p>A muon decays into an electron and two other particles according to the reaction equation <em>μ</em><sup>−</sup>→<em>e</em><sup>−</sup>+?+?.</p>
<p>State the names of the <strong>two</strong> other particles that are produced in this decay explaining your answer.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>muon neutrino;<br>electron antineutrino;<br>so that (family) <span style="text-decoration: underline;">lepton number</span> is conserved;<br><em>Do not accept particle symbols only.</em></p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="specification">
<p>This question is about the standard model.</p>
<p>The Feynman diagrams show two electroweak interactions between electrons. The particle represented by the wavy line is a photon.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State</p>
<p>(i) the name of the exchange particle represented by the dotted line.<br>(ii) one difference between the two 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>Outline how the observation of the interaction represented by the diagram with the dotted line provides evidence for the standard model.</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>(i) Z (boson) / Z<sup>0</sup> / boson;</p>
<p>(ii) Z is massive/has mass;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>neutral current interaction (mentioned);<br>which is only observed with a weak/electroweak (interaction);<br>as predicted by the standard model;</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 28">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was generally well answered by well prepared candidates. Many identified the Z boson in (a)(i). </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 28">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">In (b), incorrect answers were rare. Candidates with sound knowledge answered well and others did not answer at all. </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>
</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 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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>
<p>(iii) State the name of the particle denoted by the dotted line in the diagram.</p>
<p>(iv) The mass of the particle in (b)(iii) is approximately 1.6×10<sup>–25</sup>kg. Determine the range of the weak interaction.</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>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><em>R</em>≈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 hadrons.</p>
</div>
<div class="question">
<p>The interaction in (a) can also occur via the weak interaction with neutral current mediation producing an up and anti-up quark pair.</p>
<p>Draw a labelled Feynman diagram for this interaction. Time on your diagram should go from left to right.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><img 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" alt></p>
<p> </p>
<p>correct incoming and outgoing particles with correct arrow direction;<br>Z<sup>0</sup> shown correctly;<br><em>Allow any consistent labelling for quark pair.</em></p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Were reasonably well answered</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the early universe and the Higgs boson.</p>
<p>The graph shows the variation of the logarithm of the temperature <em>T</em> of the universe with the logarithm of the time <em>t</em> after the Big Bang.</p>
<p style="text-align: center;"><img 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hSgAAUoENMCEV1wCbkLL7wQ6RkZeGH2K9xYH9NTiZ2jAAUoQAEKUMCfQMQXXM6GExMTubHeicF7ClCAAhSgAAXiSuC70e5tamoqZj79NLZt24Znn3kGb69ejazsbIjjvFGAAhSgAAUoQIFYFIj6gsuJ2LNnTxQsX46SkhJMHD8ew265BZ1/2s15mvcUoAAFKEABClAgZgSi9pGiPzFurPcnw+MUoAAFKEABCsSKQETycIWKc+rUKaxfV4YP1pXhtuGZ6Nd/QKhV+b3OKnlXRAeYh8vvMIZ1wkpzQHTUSvEy1rCmpt+LmYfLL01YJ6wyX5mHK6xhNs/FOnJayPIEqeQhcS1TVVVlTMnJMe4cNcrYsGFDY4iyXCUqOXx0xMo8XI1D0vhAh6vrHGis2OOBWeaAjlhV6hBlZLYyE5V2dNShI1aV17BZYo2mK/NwCe2mm5XmgIhaFq/sPPNwNY29lR81+0eKvpaezo31T+TkYHZeHnKnTIHNZvNVlMcoQAEKUMCXQK0NZUXLkTcuHVPLjvkq4XKsHsc3vIqr0hfBZnc5zIcUoIA2AVMuuJy9c26sH3z99Y6N9X9b8X84ceKE8zTvKUABClDAl4C9EouzpmNZcR5eKTnpq4TbMfuh/4eCxf9CndtRPqEABXQKmHrB5eyoc2P9ZZddjp+l9WbGeicM7ylAAQr4EkjogqyVSzE3ZyJ6+Drveqx2E2b/8UMk/vSHrkf5mAIU0CxgiQWX6LPIWC820X9cvoUZ6zVPAlZHAQrEq8BJlC9YAUyagF4XnRevCOw3BaIiYJkFl1Pj4osvZsZ6JwbvKUABCoQsYEdt+RuYi1EYl3ZRyLXwQgpQQE2g2RKfqoXnv5RzY71rxvoRI0biO+dZtkv+O8szFKAABXQL1G7BwleB+/N6oxW4N1Y3L+ujgKeA5d7h8uyA68b6yQ8/jNcXL+LGek8kPqcABSjgJnAS5a+tQ8enxiOtleX/GXDrGZ9QwKwC2hKfmqGDZ8+exfFjR7F/zx5c9pP2+HHbtjjvPO5LMMPYMAYKUCB0gU0bN/i9uG+//n7PGV99jh3bD6Nl555Iad3iXDkDZ7/8N/ad+RGuaHMhvuM4Wo8TVdtQ/dWl6Hb1ZWjZcNBvvTxBAZlAQcEbsiLxd15HEjFZYkaVxG8qZWTJ4ZxJE48fP27MeXWOcf2gQUZRYaFbF3XEysSnbqSOJzpcdc4B7wibjpglVpX+ijKyeGWvC5V2dNShI1bna1jU5e9mllhFfLJYZOdV6hBlQk18erYq38hoP9DILT3qEutRo3TKQEedol7v/7oaGfmfGWd9DIBKf2TztWLrdkOMc6CbrB3ZeVG3ShlZrCp16Cgjq4OJTwPNFuuci8n3krmxPv5+cWCPKUABVYFLMHjmOuzet9flv014aFBroOc0vLPnExRmd0FM/uOgSsRyFIiAQEzvMPe1sb7uq68iwMgqKUABClCAAhSggH+BuPglxnVjfdWnu/Cn55/nxnr/c4JnKEABywscQ1nuIHS+aTp24AAKsvtiwpPv8mt7LD+u7ICVBeJiweUcIJGxvkevNHTu3JkZ650ovKcABWJQwPtjw/lP3oxUvz/xL8FV2S9id3F2gDIxyMQuUSCKAn5fflGMIapNib9aTM/IYMb6qKqzMQpQgAIUoEB8C8Tdgss53NxY75TgPQUoQAEKUIACkRbQlodr/ISJkY5VS/0L5s+Dr1j37KnGioICXNquHYYMvRnJycla2gunkk927nRc3q1793Cqicq1/lyj0niQjVgpVtE1K8XLWIOcjIrFJ4zNwvz8xYqlm7cY54B+/6NHj6KiohxDh96sv/II1CjmAPNw+YDVkcFClstENSeKLBeJ7LxKDh9ZrGvWrDF+1ruP8fxzzxkin5evG/NweavIXK00B6IVq2o7MlvZ60KlHR11iHbCjVXlNWyWWKPpGmoeLhGj8yZzk50X9aiUkc0B5uFyjkjTvcyVebiarKz8KG4/UvSx9nQcEhvrpz/9DDfW+wPicQpQgAIUoAAFghbggssHWYsW53NjvQ8XHqIABShAAQpQIDQBLrgCuHFjfQAcnqIABShAAQpQQFkgpjPNKytICnpmrP/Rj9tgxMjb0b795ZIreZoCFKAABShAAQqAX5cVzCRwZqy/9tp+yP3DE8xYHwwey1KAAhSgAAXiWIAfKYYw+AOuuw4L8xdxY30IdryEAhSgAAUoEI8CXHCFOOoXXHABN9aHaMfLKEABClCAAvEmwMSnmkb84MGDKHnvXRw+dAjpw4fjyq7dwq6ZiU/DJvRZgZUSM4oOWClexupzyoV9kIlPwyb0WYFV5isTn/ocPusd1JFETJboTrQhS+ymUkZWh0rSRB2xBkp8unXrVuPOUaOMe+/JMqqqqgLyyvqzZk2JIf4LdJPVoeKqIxGhDleVWGX9jdYc0BGrSh2ijMxWZqLSjo46dMSqMn5miTWarkx8KrSbblaaAyJqWbyy80x82jT2Vn7EjxQ1r5GdG+uv6tkTE8eP58Z6zb6sjgIUoAAFKGBFAS64IjRqvdJ64+133uHG+gj5sloKUIACFKCAlQS44IrgaF144YXcWB9BX1ZNAQpQgAIUsIoAF1xRGClmrI8CMpugAAUoQAEKmFiAmeajODieGetbnH8hLr/sUojjvFGAAhSgAAUoELsCfIerGcaWG+ubAZ1NUoACFKAABZpRgAuuZsTnxvpmxGfTFKAABShAgSgKMPFpFLEDNXXq1CmsX1eGD9aV4bbhmejXfwCY+DSQWOjnrJLs0NlDK8XLWJ2jpveeiU/1ejprs8p8ZeJT54hZ/F5HEjFZYkaVxG8qZWTJ4VSSJuqINVDiU6enLFZ//RXJUqfk5DiSp86e/TITnzpBz93LXKM1B/yNn2u4slhV6hBlZHNWRzs66tARq8r4mSVWlfHTFSsTnwrtppsu12i8tkTUsnhl55n4tGnsrfyIm+ZNtmB23Vj/u8cew6aP/4X27X/CjfUmGyeGQwEKUIACFAhGgHu4gtGKYlmxsf73T/wBPa5ixvoosrMpClCAAhSgQEQEuOCKCKu+Snv16sWM9fo4WRMFKEABClCgWQS44GoW9uAaZcb64LxYmgIUoAAFKGA2AS64zDYiAeLxlbH+012fBLiCpyhAAQpQgAIUMIMAN82bYRSCjMF9Y/3vcPjQ58jKzubG+iAdWZwCFKAABSgQLQHm4YqWdAjtqObhqijfghUFy5DWty9+PuxWJCYmhtBaeJdYJZ+N6KWVYrVavFaytVKszMMV3s8nf1dbZQ4wD5e/EbTYcR05LWS5TFTykKiUkeUqUcnhoyPWSObhch2PNWtKlPNw1dXVGUWFhYbI17N0yRJDPHfeZG4VW7cbwi7QTVaHDlfRvqwd2flozQEdsarUIcrIbGUmKu3oqENHrCrjZ5ZYo+nKPFxCu+lmpTkgopbFKzvPPFxNY2/lR9zDZbEFsr9wubHenwyPUyBOBWptKCtajrxx6ZhadswHQj2ObJqLCV07IqVDN0xb9CFstXYf5XiIAhTQIcAFlw5FE9XBjfUmGgyGQoHmErBXYnHWdCwrzsMrJSd9RGFH7dZ3UYIMzN21F1UfLUTaf1dgxLPrUeOjNA9RgALhC3DBFb6hKWtwbqx/IicHxYWFyJ0yBTabzZSxMigKUECzQEIXZK1cirk5E9HDV9X2/Siv6YW7+raF+Ecgoe01uOmGXsCqUpTX8F0uX2Q8RoFwBfhXiuEKmvx6kbH+iSm5sJ+tx8Tx4zHsllvwq3HjIN4J440CFIhTgYSOGDjQte/1+O8XR3H5+AfQJ4m/h7vK8DEFdAnwlaVL0uT1DBkyhBnrTT5GDI8CzSIg9not+l+8eeRG/PXhvmjVLEGwUQrEvgAXXLE/xo095Mb6Rgo+oAAFYEdN2TRc1X0oxj35Oj6p2o5/VXMHFycGBSIlwAVXpGRNXK/nxvopf3gCmz7+2MQRMzQKUEC/QAKSBk/H9n2V+GDV0xiAD/FY+jQUH6rX3xRrpAAFoC3xKS2tK3Cqpgb79+7BBRdeiHbJl6Hl979v3c4wcgrEoMCmjRv89qpvv/5+zxlffY4d2w+jZeeeSGndwm85cSKYsgEr4kkKACgoeIMOngI6kojJEjOqJH5TKSNLDqeSNFFHrGZMfBpoHGVuzsSna9asMa4fNMh4/rnnjOPHj7tVKatDh6uV5oCOWFXqEGVktrKxUWlHRx06YlV5DZsl1mi6hpr49GxVvpHRfqCRW3pUnnyzZKmx6LYhjrKib75uKvay+er8eeOrfucxWTuy86IelTKyWFXq0FFGVgcTnzpnhrXv+ZGi5wo0jp9zY30cDz67ToEzx7H7QHf06ZxECwpQIAICXHBFANXKVXJjvZVHj7FTQE3AfqgIk7qmY+qSTTgi0m7ZD2H7m+/gi4fH4cZ2gT96VGuBpShAAU8BLrg8RfjcIeC5sf7Zp2di48aN1KEABSwhcAxluYPQ+abp2IEDKMjuiwlPvgvbuZymCUmpuKb/f1AwdRSuu6IjrpqwHF/1m4i52d2YFsIS48sgrSjAxKdWHLUoxuzMWL/wr/mYnZeHt1evRlZ2NsRx3ihAAbMKXILBM9dh98ym+NaWrkeq81fsVt2QtXAjsppOQ5x3nnY5zIcUoIAmAb6+NEHGejVXXNEJBcuXY/D11zsy1v/p+edx4sSJWO82+0cBClCAAhTQIsAFlxbG+KmEG+vjZ6zZUwpQgAIU0CegLQ/X+AkT9UUVwZoWzJ8Hq8T6yc6dDolu3btHUCT0qk+dOoX168rwwboytEpKwpSp00KvLIpXWmkOCBYrxctYIzORJ4zNwvz8xZGpXHOtnAOaQQEcPXoUFRXlGDr0Zv2VR6BGMQeYh8sHrI6sFrJcJqo5UWS5SGTnVXL46Ig1VvNwBZoLgeyrqqqMPmm9jTtHjTI2bNjgt5pAdTgvkpWRnY/WHFCZ07JYVeoQZWRzVkc7OurQEavK+JklVpXx0xVrqHm4RIzOmywW2XlRj0oZ2XxlHi7niDTdy1yZh6vJysqP+JGij0UoDwUnIDbQp3Tugidychwb63OnTIHNZguuEpamAAUoQAEKxLAAF1wxPLjR7lrPnj25sT7a6GyPAhSgAAUsIcAFlyWGyVpBcmO9tcaL0VKAAhSgQOQFuOCKvHFctuArY/3GDR/GpQU7TQEKUIACFOCCi3MgogKuGeurKisx+o47mLE+ouKsnAIUoAAFzCjABZcZRyUGYxIb67PG3te4sf7BSZO4sT4Gx5ldogAFKEAB3wJccPl24dEICTg31g/PzHRkrBd/0ciM9RHCZrUUoAAFKGAaASY+Nc1QeAdi9sSnrhGHkuywvv5rbNm8GfkL5iN9xEjcNHQoWrQ437XaiDwOJdaIBKJYqZXiZayKgxpkMSY+DRJMsbhV5isTnyoOqNmL6UgiJkt0J9qQJXZTKSOrQyVpoo5YmfjUe9aE43r8+HFjzqtzjOsHDTJmznzGqKur827g3BGzzAEd81WlDlFGZiszUWlHRx06YlV5DZsl1mi6MvGp0G66WWkOiKhl8crOM/Fp09hb+RE/UjT7ijgO4vPcWH9fdjY31sfBuLOLFKAABeJJgAuueBptk/eVG+tNPkAMjwIUoAAFQhbggitkOl4YKQFurI+ULOulAAUoQIHmEuCCq7nk2a5UwJmxvm/fvvhZWm/MnTMXYqM9bxSgAAUoQAGrCXDBZbURi7N4XTPWi65Pm5KD4qIinD59Os4k2F0KUIACFLCyABdcVh69OIrdubH+ocmPYtOmTeDG+jgafHaVAhSgQAwIcMEVA4MYT11ITk7GzKefZsb6eBp09pUCFKBADAgw8amJBzHWE5/qoK8o34IVBcvw067dkDnydiQmJkqrtUqyQ2dHrBQvY3WOmt57Jj7V6+mszSrzlYlPnSNm8XsdScRkiRlVEr+plJElh1NJmqgjViY+9Z41OlxDnQMiUWpRYaEhkkPOenGW8dG/NnkH6HKkOWN1CdomDsgAACAASURBVMPxUDanRSFZvCp1yMrIzos4VMqEG6vKa1glDpUy4caqYqISh0oZJj51vFwa/6diplImGnNAxzxh4tPGobf0A36kaPEFM8MHPDfWP/Lrh7ixnhODAhSgAAVMJcAFl6mGg8GEIyA21o+97z78IXcqN9aHA8lrKUABClBAu8B3tdfICinQzAKX/+Qn+OUvb8W2bdvw7DPPYOmSJZj8yCMQmex5owAFKEABCjSHAN/hag51thkVAWasjwozG6EABShAAQUBLrgUkFjE2gKeGev/fWA/E6dae0gZPQUoQAHLCXDBZbkhY8ChCHhurL912DBurA8FktdQgAIUoEBIAszDFRJbdC5iHq7IOIvcO7fc+guUvPcuDh86hPThw3Fl126RaUxDrVbJFSS6ylg1DLiPKpiHyweKhkNWma/Mw6VhsM1QhY6kFrJcJip5SFTKyPKqqOTw0REr83B5zxodrs0xB7Zu3WrcOWqUMemBB4yqqqrGjsnmmo5YVeoQZWS2sRSrymtYR3+t5so8XGLEmm5WmgMialm8svPMw9U09lZ+xI8UzbDqZQzNJsCN9c1Gz4YjLVBrQ1nRcuSNS8fUsmPerdXasHbWeFzVoSNSOnTDtEXvo/xIvXc5HqEABbQIcMGlhZGVWF3Ac2P926vf4sZ6qw9qPMdvr8TirOlYVpyHV0pOekvYD2D1a2XAL17A9n17UfXRQqT99+8YNXYeymvt3uV5hAIUCFuAC66wCVlBrAhwY32sjCT7gYQuyFq5FHNzJqKHDw77voNIGpmFG1KTHGcT2vbDL0fdgh6fvonCzSd8XMFDFKBAuAJccIUryOtjTkBkrL/1F7/EvAULmLE+5kaXHRICCVf0w8B2LdwwEi5qg+4t3Q7xCQUooFGACy6NmKwqtgREZvqZTz+NJ3JyMDsvDw9OmgSbzRZbnWRvKOAqcH4a+nRueNfL9TAfU4AC4QtwwRW+IWuIcQFurI/xAWb3ANhRZ9uBnffehRs93vkiDwUooEeACy49jqwlDgS4sT4OBjleu1i7Be+uTcLU8b3RKl4N2G8KRFhAW+LTCMfJ6ilgKoFvvvkGRw4fwvH//AftLr8crS/5Ec477zxTxchgYkdg08YNfjvTt19/v+eMrz7Hju2H0bJzT6S0dt+z1XTRN6jZtx+1P+qAdt//btNhPqJAGAIFBW+EcXWMXqojiZgsMaNK4jeVMrLkcCpJE3XEysSn3rNGh6uV5oAzVpEsdUpOjiN56oYNG9xgZPPVWYfbRT6eyGx1tKOjDhF6uLGqvIbNEqvK+OmKNdTEp2er8o2M9gON3NKjfpJvfm0c/Pt8Y8lnX/o57z4hVfojmwMVW7cbYpwD3WTtyM6rjI0oI4tVVzuyemTnmfg00Gyxzjl+pBijC2l2KzoC3FgfHWe2EgmBehwpW4yVibfiri7OjfI1qFyyDOtrmIsrEuKsM74F+P5xfI8/e69JwLmxvqSkBBPHj0f/AQPQ9xr/H/VoapbVUCBEgRrYil7A5MmvoxLP4CXXWnpOwzt383dxVxI+poAOAb6qdCiyDgqcE3DdWP/Ybx7C3DlzmbGes6MZBI6hLHcQOt80HTtwAAXZfTHhyXdhc7xxVY9DRdMwwrHY8gytJXoM74dO/JfBE4bPKRC2AN/hCpuQFVDAXcCZsR4J38Phg//GrcOG4eHJkzH05pshzvFGgcgLXILBM9dh98ymltaWrkeqYyHVAu0yZmF7xqymkwDE+RuuH+h2jE8oQAF9Avw9Rp8la6KAm0BiYiLuf+B+Zqx3U+ETClCAAvEpwAVXfI47ex1FAW6sjyI2m6IABShgUgF+pGjSgWFYsSfAjfWxN6bsEQUoQAFVAW2JT8dPmKjaZrOWWzB/HqwS6yc7dzqsunXv3qxmKo1bydUMsdbXf40tmzcjf8F8pI8YiZuGDkWLFuf7pDZDvD4D83GQsfpA0XBowtgszM9frKGmyFfBOaDf+OjRo6ioKMfQoTfrrzwCNYo5wMSnPmB1pAyTJY8TbcgSu6mUkdWhkjRRR6xMfOo9a3S4WmkO6IhV1FFUvNqY8+oc4/pBg4yiwkKjrq7OC1dmK3td6IpVpZ1wY1V5DavEoVIm3Fij6Rpq4lPXySQzkZ1X6a8oI3Nl4lPXUWl4LLNn4lNvMyse4R4uH4tQHqJAtAS4sT5a0myHAhSgQPMKcMHVvP5snQIOAW6s50SgAAUoENsC3DQf2+PL3llMwNfGevFF2bxRgAIUoIC1BfgOl7XHj9HHqIBrxvqtmzcxY32MjjO7RQEKxI8AF1zxM9bsqcUEnBnrr+7T1xG5yFhfXFTErwqy2DgyXApQgAJCgAsuzgMKmFzge9/7HjPWm3yMGB4FKEABmQDzcMmEmvE883BFBt9KeYKEgGe8e/ZUY0VBARKTEpGRORLJycmRgQqhVs9YQ6giapdYKVbm4YrMtLDKHGAersiMf9Rr1ZHLQpZ3RbQhyzOiUkZWh0oOHx2xMg+X96zR4WqlOaAjVpU6RBl/tmvWrHHk77r3nizj+PHjoqjfm+y1IzsvKlYp4y9WZ2CyOlRew7I6ohWrSju6YmUeLucMarjX5RrufFWZAyplZP1hHi738bfqM36kGPUlLhukgB4B58b6zl264GdpvbmxXg8ra6EABSgQEQEuuCLCykopEB0BsbG+X/8B+Lh8i6NBbqyPjjtboQAFKBCsABdcwYqxPAVMKHDxxRdzY70Jx4UhUYACFHAKMPGpU4L3FIgBAWfG+m3btuHZZ57B0iVLMPmRR2KgZ+wCBShAAWsLcMFl7fFj9BTwKeCZsf7yn3TA1T27Q7wTxhsFKEABCkRfgB8pRt+cLVIgagLcWB81ajZEAQpQIKAAF1wBeXiSAtYX4MZ6648he0ABClhfgIlPTTyGTHwamcGxSrJDZ+91x3vw4EGUvPcuDh86hPThw3Fl127OpsK+1x1r2AEFqMBKsTLxaYCBDOOUVeYAE5+GMchmulRHAjFZ8jiVxG8qZWTJ4VSSJuqIlYlPvWeNDlcrzQEdsarUIcrIbGWvC3/tbN261bhz1Chj0gMPGK8vWSaKBbyptBNurCqvYZU4VMqEG6vAkrUjO69ShyjDxKfuU1OXazTmgMoYy/rDxKfu42/VZ/xI0UyrX8ZCgSgKODfWD8/MxCt5LyJ3yhScOHEiihGwKQpQgALxI8C/UoyfsWZPKeBTQGys//ZpA1+f/sqRsf63jz+OrOwsiL1fvFGAAhSggB4BvsOlx5G1UMDSAi1anI/0jAxmrLf0KDJ4ClDAzAJccJl5dBgbBaIswIz1UQZncxSgQNwI8CPFuBlqdpQC6gK+MtZf2/9/1CtgSQpQgAIUcBPgO1xuHHxCAQq4CnBjvasGH1OAAhQIXYB5uEK3i/iVzMMVGWKr5N5x9t4s8dbXf40tmzcjf8F8pI8YiZuGDoXY++V6M0usrjH5e2ylWJmHy98ohnfcKnOAebjCG2fTXK0jn4Usl4lKHhKVMrJcJSo5fHTEyjxc3rNGh6uV5oCOWFXqEGVktrLXhUo7wdRx/PhxY86rc4zrBw0yigoLjbq6OtGE4xZurCqv4WBidcbl6z7cWEWdslhk51XqEGWYh8t9BHW5RmMOqIyxrD/Mw+U+/lZ9xo8UTbP0ZSAUsIYAN9ZbY5xQa0NZ0XLkjUvH1LJjPoKuga3sLRTOGo8+uWWo81GChyhAAX0C3DSvz5I1USCuBHxtrK/76qu4MjBtZ+2VWJw1Ax8mVWNtaQuMHuMZ6RnYFj2O//3gJDaXfASMuduzAJ9TgAKaBfgOl2ZQVkeBeBNw3Vhf9ekuZqw3wwRI6IKslUsxN2cieviM5wKkZs/Ba/OfxGM9W/oswYMUoIBeAS649HqyNgrErYDIWN+jVxr69u3ryFg/d85cnD59Om492HEKUIACrgJccLlq8DEFKBCWwHnnnceM9WEJ8mIKUCBWBbjgitWRZb8o0IwC3FjfjPhsmgIUMKUAN82bclgYFAViQ8BzY339N9/i8ssuhTjOGwUoQIF4EtCW+DSe0NhXClAgNIHjx47h3/v2olVSEtp3vALf+973Qqsozq7atHGD3x737dff7znjq8+xY/thtOzcEymtW3iXM2pxaOsOHPp+Z1zduTX4G7g3EY+EJlBQ8EZoF8byVToSiMmSx6kkflMpI0sOp5I0UUesTHzqPWt0uFppDuiIVaUOUUZmK3tdqLSjow7VWEWiVJEwVSTzFAlUXROnqryGoxmr6FOgmywW2XlRt0qZUBOfnq3KNzLaDzRyS4/6bufsZ8ai27oaPaaUGm+tXReoq45zKrHK5mvF1u2GGOdAN1k7svOibpUyslhV6tBRRlYHE58Gmi3WOcc9XLG8mmbfKGBCgQsvvJAb6004LgyJAhSIrAAXXJH1Ze0UoIAfAV8b6zd9/LGf0jxMAQpQwNoC/Mje2uPH6ClgeQHXjfUznnrK8YXY05+azo31YY3sMZTljsC4pQcctezI7ouC9nfhnUEDker4NduOmrLpuC779Yav9Nk2FpOX/hTH1/wMWakXhNUyL6YABXwLcMHl24VHKUCBKAuIjPV/fS0fy5evwMTx49F/wAA8+thjEO+E8RaswCUYPHMdds9sum5t6fpziy1xLAFJg6dj+77pjQXE+Ru42Gr04AMK6BbgR4q6RVkfBSgQlsDPrrkGb7/zDjPWh6XIiylAAbMJcMFlthFhPBSgALixnpOAAhSINQEuuGJtRNkfCsSQgK+N9Z/u+iSGesiuUIAC8SKgLfHp+AkTLWG2YP48WCXWT3budJh2697d9LZWcrVSrGLgrRRvpGPds6caKwoKkJiUiIzMkUhOTg75tRHpWEMOzMeFE8ZmYX7+Yh9nzHfISq5WifXo0aOoqCjH0KE3m2/AfUQkXJn41AeMjpRhsuRxqknoZMnfZOdVkibqiJWJT71njQ5XlXliljmgI1aVOkQZma3MRKUdHXXoiFXlNSxiXbNmjXH9oEHGlJwc4/jx46Jpt5tKf6zkGmriU1cUmYnsvKhLpYzMlYlPXUel4bHMlYlPvc2seIQfKfpYhPIQBShgboEhQ4ZwY725h4jRUYACHgJccHmA8CkFKGANAW6st8Y4MUoKUKBBgAsuzgQKUMDSAtxYb+nhY/AUiBsBLrjiZqjZUQrEtoAzY/0TOTkoLizEg5MmwWazxXan2TsKUMAyAsw0b5mhYqAUoICKgMhY/8SUXNjP1jNjvQoYy1CAAlER4DtcUWFmIxSgQLQFuLE+2uJsjwIUCCTAPFyBdJr5HPNwRWYArJJ7x9l7K8Vr1lhPnTqF9evK8MG6Mtw2PBO9+/TB4kWLLJOTj3m4nK8Gvfdmna+evWQeLk8Riz7XkctClndFtCHLM6JSRlaHSg4fHbEyD5f3rNHhaqU5oCNWlTpEGZmt7HWh0o6OOnTEqvIaDifWqqoqR+6uO0eNMn5+8zARst9bOO04K9VRh6iLebicog33ulyj8doSEcvilZ1nHi738bfqM36kaNGFMsOmAAWCF3DdWP/5gf3cWB88Ia+gAAVCFOCCK0Q4XkYBClhXQGys797zagzPzHRsrM+dMgUnTpywbocYOQUoYHoBLrhMP0QMkAIUiJQAN9ZHSpb1UoACngJccHmK8DkFKBBXAv4y1tfXfx1XDuwsBSgQWQHm4YqsL2unAAUsIuDMWH/jkBsdf8H48b824QdJrdCvXz+L9IBhUoACZhbgO1xmHh3GRgEKRF3AubF+1OjRmJ2Xx431UR8BNkiB2BTggis2x5W9ogAFwhS44opOKFi+nBvrw3Tk5RSgQIMAE5+aeCYw8WlkBscqyQ6dvbdSvLEaq9jPtWXzZuQvmI/0ESNx09ChaNHifOcQRfyeiU8jQ2yV+crEp5EZ/6jXqiOBmCx5nEriN5UysuRwKkkTdcTKxKfes0aHq5XmgI5YVeoQZWS2steFSjs66tARq8pruDljPX78uDHn1TnG9YMGGUWFhcY7/3hPdNvvTVesTHzqTqzLNRqvLRG5LF7ZeSY+dR9/qz7jpvmoL3HZIAUoYFUBbqy36sgxbgo0vwD3cDX/GDACClDAYgLcWG+xAWO4FDCBABdcJhgEhkABClhTgBvrrTlujJoCzSHABVdzqLNNClAgpgSYsT6mhpOdoUBEBLjgiggrK6UABeJNwFfG+o0bPsTp06fjjYL9pQAFfAhwweUDhYcoQAEKhCrg3Fg/b8ECVFVW4r7sbGzcuDHU6ngdBSgQIwLMw2XigWQersgMjlVy7zh7b6V4Gatz1Jru9+ypxoqCAiQmJSIjcySSk5ObTio+Yh4uRaggi1llvjIPV5ADa9biOvJZyHKZqOQhUSkjy1WiksNHR6zMw+U9a3S4WmkO6IhVpQ5RRmYre12otKOjDh2xqryGzRJrsK5r1qxx5O+akpNjiHxezptKf5iHy6nVcK9iplImGq8tEbEsFtl55uFyH3+rPuNHimZdCTMuClAgpgS4sT6mhpOdoUDQAlxwBU3GCyhAAQqEJhDVjfW1NpQVLUfeuHRMLTvmM2D7kU1YmpuOlA4d8dCst7D5SL3PcjxIAQqEL8AFV/iGrIECFKBAUAIR31hvr8TirOlYVpyHV0pO+o6tdhNmj30Wu4fMQdW+Sjx1Qw2mjZ2H8lq77/I8SgEKhCXABVdYfLyYAhSgQOgCImN91tj78ERODmbn5eHBSZNgs9lCr9B5ZUIXZK1cirk5E9HDeczt/gxsb76E13r/Go8ObocEtMDFPX+B3/X+O2a8aQOXXG5YfEIBLQJccGlhZCUUoAAFQhfo2bMnCpYvx/DMTEwcPx65U6bgxIkToVcou9K+HxsKd6FTyqVo1Vg2EWlD+qO6cCOqueJqVOEDCugS4IJLlyTroQAFKBCmQLQ21turN6JoWyK6d2gNr38EtpVgQ/WZMHvCyylAAU8Br9eaZwE+pwAFKECB6An42lgvWteXsd6O2oN7UY3LkZLc9P5W9HrIligQnwLaEp/GJx97TQEKUCCyAnVffYVPtm/z20jffv39njO++hw7th9Gy849kdK6xblyBr49bsPWqjNod1V3tPu+8/duf8f9Vs8TFPArUFDwht9zcXtCRwIxWfI4lcRvKmVkyeFUkibqiJWJT71njQ5XK80BHbGq1CHKyGxlrwuVdnTUoSNWldewWWKNpqtIfLp161bjzlGjjEkPPGBUVVWJ5htv/kzOVuUbGe0HGrmlR92Sb7oed1by/tpS48vSPxo92t9tLKo67Tzsdu+vHddCsvlasXW7IcY50E3Wjuy8qFuljCxWlTp0lJHVwcSngWaLdc45f7WJ2wUnO04BClDACgI6N9YndOqHjJ7Od7ycvf8WX+yrRl3PIejf6QLnQd5TgAKaBLjg0gTJaihAAQpEQ8DXxvr6+q+DazqhPfoPb4Pikp2oabzyNA7u/gI9hvdDJ/7L0KjCBxTQJcCXlS5J1kMBClAgSgKeG+unTclBcVFREBvrL0DqyIdx35aX8WLZIdhRjxPbVuNPW27D1JGp3n+5GKV+sRkKxLIAF1yxPLrsGwUoENMCzoz1D01+FJs2bcJ92dnYuHEjgGMoyx2EzjdNxw4cQEF2X0x48l3YXPNrteqL3+T/Fq2XjkDnDr3wUkVbzMifiLRW/GchpicNO9dsAt9ttpbZMAUoQAEKaBFITk7GPWNGY9u2bXj2mWewdElrTH5kIXbPTG2sf23peqR6rKUS2vbDrxduxK8BiPNpbT33dTVezgcUoECYAh4vvzBr4+UUoAAFKNBsAjo31jdbJ9gwBWJUgAuuGB1YdosCFIhfAS0b6+OXjz2nQEQEtCU+HT9hYkQC1F3pgvnzYJVYP9m509H9bt2762bQXp+VXK0UqxgoK8XLWLW/tBwVThibhfn5i0Oq/NSpU1i/rgwfrCvDbcMz0btPH7RocX5IdalcxDmgohRcmaNHj6KiohxDh94c3IXNVFrMASY+9YGvI2WYLHmcahI6WfI32XmVpIk6YmXiU+9Zo8NVZZ6YZQ7oiFWlDlFGZiszUWlHRx06YlV5DZsl1mi6isSngW4qJq8vWWZMyclxJE/dsGGDV3UqdaiUkc1XJj71opcmaWXiU28zKx7hR4o+FqE8RAEKUCDWBMTG+plPP40ncnIwOy8PD06aBJvNFmvdZH8oYFoBLrhMOzQMjAIUoIB+AW6s12/KGimgIsAFl4oSy1CAAhSIMQHPjfVvr34riMSpMYbB7lAgCgJccEUBmU1QgAIUMKOAZ8b6W4cNCzJjvRl7xZgoYE4BLrjMOS6MigIUoEDUBETG+lt/8UvMW7DAI2N91EJgQxSIeQEuuGJ+iNlBClCAAmoCqamp3FivRsVSFAhagHm4giaL3gXMwxUZayvlCRICVoqXsUZmzoaThyuciCrKt2BFwTL8tGs3ZI68HYmJidLqOAekREEXYB6uoMnMeYGOXBayvCuiDZX8LbIysvMqOXx0xMo8XN6zRoeryjwxyxzQEatKHaKMzFZmotKOjjp0xKryGjZLrNF01ZGHS+bm73xdXZ1RVFhoiBgeffS3hnge6Cabr8zD5a3nz95Zknm4nBLWvudHiuZcBzMqClCAAqYQ4MZ6UwwDg4gBAS64YmAQ2QUKUIACkRbgxvpIC7P+WBfggivWR5j9owAFKKBRgBvrNWKyqrgS4IIrroabnaUABSigR4AZ6/U4spb4EeCCK37Gmj2lAAUooF3AM2P9vw/sZ8Z67cqsMBYEuOCKhVFkHyhAAQo0owA31jcjPpu2jAAXXJYZKgZKAQpQwNwCYmP95T9pz4z15h4mRtdMAkx82kzwKs0y8amKUvBlrJSYUfTOSvEy1uDno8oVzZX4VCU2zzKuc2DPnmqsKChAYlIiMjJHIjk52bN4sz53jbVZA5E0zsSnEiCrnNaRRkyW6E60IUvsplJGVodK0kQdsTLxqfes0eFqpTmgI1aVOkQZma3sdaHSjo46dMSq8ho2S6zRdG3OxKein86bir2v+bpmzRrj+kGDjCk5Oca69f80xDgHusnakZ0XdauU8RWra1wqdegoI6uDiU9dR8W6j/mRolVWxoyTAhSggEUFXDfW33fPPch/7TVurLfoWDLs0AW44ArdjldSgAIUoICigHNj/WtLljiuuHXYMBQXFXHhpejHYtYX4ILL+mPIHlCAAhSwjEBS0g8w9r77uLHeMiPGQHUJcMGlS5L1UIACFKCAsgAz1itTsWCMCHw3RvrBblCAAhSggAUFnBnrS0pKMHH8ePQfMAB9r+lvwZ4wZAoEFuA7XIF9eJYCFKAABaIg4Lqx/rHfPIS5c+Zyf1cU3NlE9ASYhyt61kG3xDxcQZMpXWCV3DvOzlgpXsbqHDW991bNwxWqwqlTp7B+XRk+WFeG24ZnonefPmjR4vxQq/N7nVXmK/Nw+R1Ca53QkdFClstEtCHLM6JSRlaHSg4fHbEyD5f3rNHhaqU5oCNWlTpEGZmt7HWh0o6OOnTEqvIaNkus0XS1eh4uYeW8VWzdrpyHq6qqypG7685Ro4wNGzY4q9Dy74moLBqvLdGObM7KzjMPV+PQW/oB93BZa33MaClAAQrEjYBzY/22bdvw7DPPYOmSJZj8yCNx0392NLYEuIcrtsaTvaEABSgAoB5Hypdh6rBuSOnQEVeNexlbD9ZZVsa5sX54ZqZjY/3i/Ndw4sQJy/aHgcenABdc8Tnu7DUFKBCzAnbUls/DA6/WID2/Arv3bcPfrtuFhU8tQvGhekv32rmxvnOXLvhZWm9urLf0aMZf8Fxwxd+Ys8cUoEAsC9htWDn97+g+ZiT6tG0BIAld7v0D7u5WiamvbkCNxfsuMtb36z8AH5dvcfSEGestPqBxFD4XXHE02OwqBSgQ+wL26o0o2tYGKcmtmjqb8GP85KdtUbeqFOU19qbjFn508cUX4/4H7mfGeguPYbyFzgVXvI04+0sBCsSwgB21B/ei2quHLXBRm0vRsq4a+7+w9seKnl1zbqx/IicHs/Py8OCkSbDZbJ7F+JwCzS7ABVezDwEDoAAFKKBLIAGtkjuiEypQ9OF+eL2X1bIT2rcRHzPG3o0b62NvTGOtR9oSn8YaDPtDAQpQwCwCmzZu8BtK336eX4NTjxNV21B9oiWSe3RBu+9/F8bXJ3F4/14c/OpH6Hb1ZWj5Hb/VxcSJs2fP4vixo9i/Zw/aJiejXfJlOO+882Kib1bpREHBG1YJNXpx6sgiJksep5L4TaWMLDmcStJEHbEy8an3rNHhaqU5oCNWlTpEGZmt7HWh0o6OOnTEqvIaNkus0XQNOvHpqSrj/RfHGT3adzA6XTnOmLXyr8a9/bsZGfmfGWdF4D5u0XINJvGpjzAdh1RjPX78uDHn1TnG9YMGGUWFhUZdXZ1bldF4bYkGZfHKzjPxqduwWfYJP1KM3tqWLVGAAhSIjkCrVNzwyAJs37cXu3ctwG96JODA0Z/h4cxUxNMPfW6sj850YytqAvH02lMTYSkKUIACMSRgP/I+nvrNu+j+25EYnBSfP/K5sT6GJrSFu8Kv9rHw4DF0ClCAAn4Fam0oe281ls3YhR7zZ+G62iq/RePlhHNjfUlJiSNj/alTtY6M9eKdMN4oEGmB+Px1J9KqrJ8CFKBAcwnUlGFq145I6f5bvF/TC7/75zz8um/buPooUUbvzFif9IMfMGO9DIvntQlwwaWNkhVRgAIUMIFA0mDM2LUXu/cVY0b2YKS24o95X6MiMtb/uE1bZqz3hcNjERHgKzEirKyUAhSgAAWsIMCN9VYYpdiIkXu4YmMc2QsKUIACFAhDwLmxftu2bXj2mWewdMkSXNv/f8KokZdSwF1AW+LT8RMmutds0mcL5s+DVWL9ZOdOh2K37t1NqtkUlpVcrRSrELZSvIy16TWh89GEsVmYn79YZ5URqytW5kBF+RasKFiGn3btyLRQLAAAFIJJREFUhsyRtyMxMTFiZrKKjx49ioqKcgwderOsqCnOiznAxKc+hkJHBjFZ8jiVxG8qZWTJ4VSSJuqIlYlPvWeNDlcrzQEdsarUIcrIbGWvC5V2dNShI1aV17BZYo2ma9CJT0VwHjeZm+y8qE6ljGy+RjPxqQeB11NZrO/84z1HwlThLxKoeiZOVTWRucnOM/Gp19BZ8gD3cPlYhPIQBShAAQpQoEWL85GekcGN9ZwKWgS44NLCyEooQAEKUCBWBbixPlZHNrr94qb56HqzNQpQgAIUsKgAN9ZbdOBMEjbf4TLJQDAMClCAAhSwhoAzY/3wzEy8kvcicqdMcWSst0b0jLK5BPgOV3PJs10KUIACFLC0gMhY/+3TBr4+/ZUjY/1vH38cWdlZEElVeaOApwDf4fIU4XMKUIACFKCAogA31itCsRiYh8vEk4B5uCIzOFbKEyQErBQvY43MnGUersi4RmK+Hjx4ECXvvYvDhw4hffhwXNm1W9jBMw9X2ITmqEBHMgtZLpNo5SpRyeGjI1bm4fKeNTpcVeaJLF9NtOaAjlhV6hBlZLYyE5V2dNShI1aV8TNLrNF0ZR4uod10s8Ic2Lp1q3HnqFHGpAceMF5fsqwpeB+PZP1hHi4faBY8xI8UzbHuZRQUoAAFKBBDAtxYH0ODqakr3DSvCZLVUIACFKAABTwFuLHeUyR+n/Mdrvgde/acAhSgAAWiIMCN9VFAtkATXHBZYJAYIgUoQAEKWF+AGeutP4bh9IAfKYajx2spQAEKUIACQQp4Zqyv/+ZbXH7ZpRDHeYtdAb7DFbtjy55RgAIUoICJBZwb6/sPuA4Tx49nxnoTj5WO0Ljg0qHIOihAAQpQgAIhCvRK642333kHffv2dWSsnztnLk6fPh1ibbzMrAJMfGrWkQHAxKeRGZxIJDuMTKQNtVopXsYamZnAxKeRcTXjfD116hTWryvDB+vKcNvwTPTu0wdfflmDiopyDB16c2QgNNcqXAsK3tBcawxUpyN3mCwxo2hDlthNpYysDpWkiTpiZeJT71mjw9VKc0BHrCp1iDIyW9nrQqUdHXXoiFXlNWyWWKPpysSnQrvpZqU5IKKWxevrfFVVlTElJ8eRPHXVypVGXt5LTQA+Hvmqw7OYrIyuf9tkP7M844qX59w0HwOLZnaBAhSgAAViS8B1Y/20qVNxqrYWt9wyjBvrLTzM3MNl4cFj6BSgAAUoENsCYmN93uzZ6Nq1GzfWW3youeCy+AAyfApQgAIUiH2BlNRUbqy3+DBzwWXxAWT4FKAABSgQHwIXXngh0jMy8HH5FkeHbx02DMVFRfyLRosMPxdcFhkohkkBClCAAhQQAr4y1n+66xOL4tTAVvY35I1Lx9SyYxr7UI8j5cvw5Kz1qAml1pr1eHlJJezK19pRU/YXPFlUiVo/13DB5QeGhylAAQpQgAJmFnBurH8iJwfFhYV4cNIk2Gw2M4fsEZtYpLyAEdm/xyslJz3OhfO0HkfKZuGPq1ri7vHXISnoquyoKd+Ni65tD/VFUgKSBo7ALw7k4Z5p7+OIj5Ua83AFPRDRu4B5uCJjbcbcO4F6aqV4GWugkQz9HPNwhW4X6EqrzNejR48q5eGqKN+CFQXL8NOu3ZA58nYkJiYG6n7EzgnXYPJw2W2LMOKmfHRftBIzBl8SZlx21Jb/BfcsuBx/+UsG2qmvmFzaPYay2aVIfuh2pAZ9fQ0qF83AS8jG89nd0MqlVujIf6GSc0OW/0PEISsjO6+Sw0dHrLpylcj6s2ZNiSH+C3ST1aHiWrF1uyHsAt1k7ehwVYlVFke05oCOWFXqEGVktjITlXZ01KEjVpXxM0us0XRlHi6h3XSz0hwQUcvilZ3fu3evch6uuro6o6iw0BBzZs6rcwzx3HmTtaPr3zbZzyxnPM77s1X5Rkb7gUZu6VHnodDvz35mLLot21hUddpHHV8bh0ufNR7I/8w46+Ns46Ev1xmzX5eUaSzs44GfGIJeu7ku1viYAhSgAAUoQAHzCMT3xno7atYvwwsYhP6dLvAYlBrYip7Gr7J34JoBgT4qDOXjRI+mEtqj//Bv8MLij9z2j3HB5eHEpxSgAAUoQAGrC1h/Y30NbO+/jAldOyKlQzfcmlsEW62PjVFuA3UC5SUb0Gl4P3RyXd3YD6D4gZsxbPLrqMSHmHHTlegzqxzful3rfHIC5dsTcY3Xgs15HkBtJYpz05HSoR8mzCrC5vX/wrYa19guQKcBQ9BpVSnKXY67huRSGx9SgAIUoIB1BVz/seqIlK7jUVhx0O9fT1m3n4xcJmDNjfXnNtP/uQZ3ra3E7n0b8WLKuxjRvRNSOnTEVbllbu8cNRrU7MT7q+rRvUNr983uCT9B+l8WYWrPlmg5Jh/l+/Zi8yNp8PlVOzW7sOOiq9wXbI0NiAdnYHszD+/2eRlV+zZi/iO3oN2XB/ClW5lzT+qqsf+L+sYzXHA1UvABBShAgVgQqMehomkY8etdGFC4Dbv37UXV2jtRu3I2ntP6Z/exYBU/fRAZ65+YkovhmZkWyFgv3qkqA3oPQFrbFgCS0CXzDqS3TMNDqyqwfeZgn395aP9iH3bW+RnT/3yKD7edj2v7pPi8tuEqhY8T7fuxoXAXvt1bjq1HxGKqBdr98nYMTHJfTiW06YDuLf+N3QebkkS4l/ATJw9TgAIUoIBFBOx7sSb/PSDzDgzv0vAH8QltB+CGgT9EcclO3+8MWKRrDDN8gSFDhlg4Y/1nWLf9iyByYzm97Kj5rAIfoSsGdAv0V5AKHycmdMRNY9Pw0UuPYNQNDyJv1foAH3Uew859xxvj5YLLOR68pwAFKBALAgmt0b7HJajbsgO7G/e81OL4oXqkD+ke4Lf7WOg8+6Ai4G9j/ZkzZ1Quj0KZSzBw0iO47u3lKKwUaUtFEtMPUV7XCxkBN7z7C63hHbO6nkN8bKZ3uUb6caIo2wLtMp7De6v+gqmZ/8Erj2Zh2M8eQ/Ghpo8Om2q8xO3jTS64mmT4iAIUoEAMCFyMPpkj0eXTF5E9eRkqa8/gSNkSVPxwJB4cGOi3+xjoOrsQlIDnxvrHf/dblJeXB1VHpAontLsBDz/aGXvz70FKhy647rnTGL3qz7gn1fOvD5siaPgYr+l546NvD2Dr2wfQskcHtPG76lH4OLGxwhZom3YLsmYWo+qjZXi4/0eY+uoGH+8eX46U5KZMXFoSn4pNbLxRgAIUoAAFKEABISD2DqrevBOfiuSlc/D77UPwSnYX9w3wASs9hrLc0Xgp5RWsdLmusf6/voQbP9mFpPvuRForz5WXarLTY1hfVI2rM65peLdY/AXkg/dg0TXzvdtM34uHP5qGwef2d/ncpB+wP35OBoPrpwoe9hAQC1m6eqBoeEpXDYh+qqCtH5gwDwfvaket7W0sXF2J4+/lo+DTFIxZNAd/HNwuiH+8wgzaApcH72qBTmkIsaSkBM/MnIn+Awbg0ccec3x3YzDVCle1m/hrxOm4Lvt1iL3uO7IHYeeTq7AyuzU2r1qB95b+GZ2fdK2pJbqMeRp5T9yGVK8Fkyh3MdKG9Ef1rI2ovreLR5b4Uygv+CdunDnRx2ILwLmPEwd6rsNcm3c8TsAPfvhfbC56DaXzXnC8tkbP+DPm3O26MDyD6g9LUJ05Dmmum+l95EgN+pAsC3LQFfIChwBdIzMR6BoZV1ErbSNjG5zrWePUZ0uMBx4qNA6KdNpnDxqlf7zN6NQ+05i15b+RCdCitQbnatFOhhh2oIz1sirDd22Yw+Ov7OD4mSLqa/qvq5ERKFO8nyzvspi1nvcTg3Qt57W44wEKUIACFDCvgN2Glb9/EYd7X4m24id8QjsMnr4YKx4GXpleBJtrfkbz9oKRNbOAv431p0+fjkJktTj46fkY48jBtdfxSY/4tEf8V7UhDyOu8Miz5RpRQipGTEtD0XNvorLxj0ZcC0T6cT0O/X0higZPwgiP/WZccEXanvVTgAIUiKZA7WHstn3t0WISUnp1R0uPo3xKAZmA58b6+7KzsXHjRtllYZxvSHp6+7xtOHDoRGNKBUeFtTas39IaQ64L9McfCWiVNhFzxuzHE44/Gonmbxji64Oew5MVP8ech/u6f3G1+N0nDBVeSgEKUIACZhNIuhrDx/8UO57PwxLHn9SLryL5FIVLN+G6sTcEyKBtto4wHjMJuGasn52XhwcnTcLBgwcjEGICkgY+gEWTrkDllBvRuYP4ap+OSBmWi8WbgT6/TGt45zZgyy3QdvAfsOTxVihY8IGPvx4MeHGIJ8VCcQneOPVzPDXtRp8xavsrRW7uDnGMAlzGDZ0BcMI4Rdcw8CSX0lYCFOLpoF3tR1D+xiuYOvUNVIo2Ww7BQy//HuNuTPX6rTvEkGLisqBdY6LXejohNtb/6Ec/gshg73mjq6dIw3Ntf6Xou3oepQAFKECBqAsktEXaPTPx9j0zo940G4wPAZGxnrfgBLS8wxVckyxNAQpQgAIUoAAF4kuAe7jia7zZWwpQgAIUoAAFmkGAC65mQGeTFKAABShAAQrElwAXXPE13uwtBShAAQpQgALNIMAFVzOgs0kKUIACFKAABeJLILQFV60Na2eNx1WO/BjdcGvuMpQfqfeSsx/ZhKW56Y4cGleNm4vNPsp4XRTXB2pgK3sLhbPGo09umf/cITVlmNr1XG4SxxiMwWLbmbiWk3defLfcehSvmoUJvaahrMZXMrx6HClfhqnDuiGlQz9MmL0RR3wVkzfGEhA5aaad+xlxbq6mL2KW86BmBudjUFxBFeb8DIrLb2GVn6sA1wINgMEvuOwHsPq1MuAXL2C7SLP/0UL8/MjLGDV2Hspd0+jXbsLssc9i95A5qNpXiffGHMc0zzJ+BzEeT5yBbdHj+N+lyzDtpRJ4L1+dJvU4tLYYxeKbPp23nkPQv9MFzme89yFgt72Osc8sQXHubKz1TMLtKC++nX4efjVlL27Mr8DuPStx1/E/41cvbUKtj/p4SCJg/xyly99zfCFtQ8mW6DG8H5NuStiaTnM+NllE4BHnpxZU+c9VkXSXa4FG7GC/sPFs9QZj3cGv3S47W5VvZLQfaOSWHj13/LRRlX+30WNKqfFlY8mjRumUIYG/dLKxbBw/cHzpZVcPOxePUx8bs257yij9UnwrLW/BCTTMy05X/tHbz+E+xGUOG4bxZamRe+XdxqKq08E1E/elzxqntsw2Mtxe/3GPEhwA52NwXkGV5vwMiktaOMDPVYNrAVe+oN/hSriiHwa2a9G4YBMPEtp0QHfXL+my78eGwl3olHKpS1bji5E2pD+qCzeimh/TuPmpP7GjZvNqvLbt//Cn5xehuMzGd1/U8QKWtFdvRNG2NkhJbtVULqk7bsz8AkUf7nf/Pq+mEnzkU+AENq96EzuWzsKfFhWhzFbjsxQP+hfgfPRvE/4Zzs/wDRVr4FrADSroBZfb1a5Pzk9Dn85JjiMNPywS0b2Dj2/03laCDdXcb+RKp/zYbkPhrDdRhzpULp2Bx7IzcEduEWyuH+UqV8aCTQJnUP1hCXa07IT2bdx/mQDqsYO/JDRRKTyy21bjpaUHAGxHwZOPYNxN92BqUSV/OVCwayjC+ahMFUJBzs8Q0EK8hGsBdzgNCy47asr/iZ333oUbHe982VF7cC+qcbn7uwXu7fJZKAIJXZBV/Al279mIFS9PxegrgcqlUzB5wRb+YxaKZ+M1tTi4+99Aakckt9LwkmisNz4fJKRmo9Cxv3Ml8p68G13EwmtyDhaWn4xPkKB7zfkYNFkQF3B+BoEVVlGuBTz5wv/XpXYLXlt6MaaO7+3y8aFnM3yuVUB8T9ov78OMt9dgYVYKKhesxmaff3WntVVWRoGgBBLapuEX2TPx1kcLMebKz/Daqq3+//I2qJpZmALhC3B+hm/IGoITOLfgEn8hN8aRvkF8y7ff/7z+rPskyl97Dxf97h6kNb4zkIBWyR3RCf/G7oNx/vdd9kosThcpBgKYduiG4YsqQ9sjlNAOgx97BKNRhvfLTwQ38lYvrdW2FZJTLgdse3GQH8/6nBl22yIMDziPxRz3nZ4koe31ePTxkcCqUpTzFwOfvu4HOR/dPSL7jPMzUr5cC3jKfrfhwAVIzV6K3dmepwM9r8eht/6GXTf/GlldGvZuOUsndOqHjJ5vYLfzgOO+Hl/sq0ZdPKUwOPcRYJabg+YnrS5FSuoVgOtmb81NmLI6rbYXoNOAIeiBve5dtR/H/h2nmM5A/GGM42PCoH5AuFie+8GbKqZp+G+qu1Qcow85H6M7sJyfkfLmWsBdNsSffvU4UrYYKxNvxV2Ni60aVC5ZhvXiN9iE9ug/vA2KS3a6fIQg9iV8wX+83P3Df1Z7GHuvzsLwVObhCgfT8YMhdYP7O4W1h7Hb1hUZA9ojxBdKOCHF0LViL8cx9HzkF0glpNK4cj4qMWkqxPmpCdK7Gq4F3ExC+PFXA1vR0/hV9jN4KXsAOjd+zNATt75Zj0sdv8FegNSRD+O+LS/jxbJDsEMs0ObhT1tuw9SRqfzHy20I1J/Yj5Rj9VvljdnP7Uc24uXnKzD4gf5wf49RvU6WPCeQkIoR025D+XPzUCa+EcF+CGUvvIzy8Q9jBBezQUwTkR39H1hdfuTcx+T1OLLpr/jT+l64f+AlQdQT50U5HyM0ATg/IwTrp1quBdxgXJNyyR9/bRwsnGz0aN/B6OT1X1evpKZnD28wZv/qWqNT+67GLVPeMLYcdk+YKm8vnkqcNb4s/aOHrXvSzbOHS4xpP+/aYH/lOGPWynVG1SkmQFWaJY4kpq7z1nu+GsbXxuGP5xjjrxTlbjNyX//YOExeJd6mQl8bh0tnGrec+/nQ41cvGqtKq4xTTQX4SFmA81GZSrkg56cylUpBpZ+rhsG1QAPmd8Sd2wqMTyhAAQpQgAIUoAAFtAqE8JGi1vZZGQUoQAEKUIACFIh5AS64Yn6I2UEKUIACFKAABZpbgAuu5h4Btk8BClCAAhSgQMwL/H/z1NknURI1cAAAAABJRU5ErkJggg==" alt></p>
</div>
<div class="question">
<p>Evidence for the Higgs boson might be discovered at the Large Hadron Collider (LHC) at CERN. Outline why such a discovery would be of crucial significance to the standard model.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>the Higgs is the only undiscovered particle of the standard model;<br>the discovery would help to verify standard model / failure to discover it would necessitate a change in the model;<br>the Higgs is responsible for giving mass to particles / is linked to the problem of mass so its discovery would shed light on the problem of mass;</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
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<p> </p>
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<br><hr><br><div class="specification">
<p>This question is about particles and interactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State what is meant by an antiparticle.</p>
<p>(ii) Some particles are identical to their antiparticles. Discuss whether the neutron and the antineutron are identical.</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>The Feynman diagram represents the decay \({K^{\rm{ - }}} \to {\pi ^{\rm{ + }}}{\rm{ + }}{\pi ^{\rm{ - }}}{\rm{ + }}{\pi ^{\rm{ - }}}\).</p>
<p><img 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" alt></p>
<p>Particles X and Y are exchange particles.</p>
<p>(i) Explain what is meant by an exchange particle.</p>
<p>(ii) Identify X.</p>
<p>(iii) Determine the electric charge of Y.</p>
<p>(iv) Calculate the change in strangeness in the decay of the <em>K</em><sup> –</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) a particle with the same mass but opposite quantum numbers/charge;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) the neutron has baryon number </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">+</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1, so the antineutron has baryon number </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">-</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1<br>so they are different;</span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';"><strong>or</strong> </span></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">the neutron consists of three quarks (udd) and the antineutron consists of three antiquarks \(\left( {{\rm{\bar u\bar d\bar d}}} \right)\);<br>so they are different; </span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[0] </span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>for a bald correct answer.</em> </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) a short lived/virtual particle/(gauge) boson;<br>that transfers energy/momentum/force between interacting particles;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">W</span></em><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">–</span><span style="font-size: 11.000000pt; font-family: 'Arial';">;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(iii) zero;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';"> (iv) \(\Delta S = 0 - \left( { - 1} \right) = + 1\)</span></p>
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<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In (a)(i) the fact that antiparticles have equal mass was often not mentioned. Most realised that antineutrons and neutrons were not identical as they had different quark structure or opposite baryon numbers. </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Part (b)(i) was usually partially correct. Few mentioned that exchange particles were bosons. Parts (ii), (iii) and (iv) were answered correctly only if candidates knew the charges on the various quarks in the Feynman diagram. About half did know. </span></p>
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<div class="question_part_label">b.</div>
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<p>This question is about the standard model and the Pauli exclusion principle.</p>
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<p>State <strong>one</strong> conservation law that would be violated, if the following reactions were to occur.</p>
<p>(i) \({\pi ^0} \to {e^ + } + {\mu ^ - }\)</p>
<p>(ii) \({p^ + } + \bar n \to {e^ + } + {e^ - } + {\bar v_e} + {v_e}\)</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
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<p>The reaction \({\bar v_\mu } + {e^ - } \to {\bar v_\mu } + {e^ - }\) is an example of a neutral current reaction. Draw a Feynman diagram for this reaction labelling all the particles involved. The arrow provided indicates the direction of time.</p>
<p><img 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" 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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) electron lepton number/muon lepton number/family lepton number;</span><span style="font-size: 11.000000pt; font-family: 'Arial,Bold';"><br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Do not accept just “lepton number” as this </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">is </span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>conserved.</em><br> </span></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">electric charge; </span></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';"><img 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" alt></span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">arrows for </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>e</em><sup>– </sup></span><span style="font-size: 11.000000pt; font-family: 'Arial';">point forward in time and arrows for \({\bar v_\mu }\) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">point backwards in time;<br>vertices \({\bar v_\mu }Z{\bar v_\mu }\) </span> <span style="font-size: 11.000000pt; font-family: 'Arial';">and </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">e</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">–</span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">Ze</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">– </span><span style="font-size: 11.000000pt; font-family: 'Arial';">; </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">(inspect carefully, many draw </span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>\({e^ - }Z{\bar v_\mu }\) vertices)</em><br> </span><span style="font-size: 11.000000pt; font-family: 'Arial';">Z particle;</span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award each marking point independently.<br>Award </span><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';"><strong>[2 max]</strong> </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">if the diagram is rotated 90º</span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>.<br>Allow particles to be expressed in words.</em> </span></p>
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<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Part (a)(i) was poorly answered as many just stated lepton number is not conserved. They needed to be specific. In (ii) a common mistake was to think that baryon number is not conserved when in fact it is charge that is not conserved. </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">The Feynman diagram in (b) was rarely correct. Far too many candidates drew vertices that did not conserve charge. However partial marks were obtained for identifying the Z boson or for correct arrow directions. </span></p>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>This question is about the standard model.</p>
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<div class="question">
<p>Muons can decay via the weak interaction into electrons and neutrinos. One such decay is</p>
<p>\[{\mu ^ + } \to {e^ + } + {v_e} + {\bar v_\mu }\]</p>
<p>(i) Using the table provided, show that in this decay, lepton number <em>L</em>, electron lepton number <em>L</em><sub>e</sub> and muon lepton number <em>L</em><sub>μ</sub> are all conserved.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) Label the Feynman diagram below for the decay of a positive muon (μ<sup>+</sup>).</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABSIAAAJSCAYAAADXrbtoAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+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+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxtpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MTMxNDwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj41OTQ8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KwB73qQAAQABJREFUeAHs3X1wXWd9L/onHRc6RSQ1fyl20uZFSkKANpL5Aw6Nk5jSgpwmMS+xW6iFD3HvDEK3h6QMjjP3SDq55WV6nEA1aulJwMiHgm0SQkIsOId7AglzLpliS+mNyZuVF+wkFv/gxlGY9q9crQ17R5ItaW9pr7XXWs9nzcRae++1nuf5fX6LGeY7a+91xqszW7ARIECAAAECBAgQIECAAAECBAgQIEAgRYHfSHFsQxMgQIAAAQIECBAgQIAAAQIECBAgQKAiIIh0IRAgQIAAAQIECBAgQIAAAQIECBAgkLqAIDJ1YhMQIECAAAECBAgQIECAAAECBAgQICCIdA0QIECAAAECBAgQIECAAAECBAgQIJC6gCAydWITECBAgAABAgQIECBAgAABAgQIECAgiHQNECBAgAABAgQIECBAgAABAgQIECCQuoAgMnViExAgQIAAAQIECBAgQIAAAQIECBAgsGoxggvPO3+xj31GgAABAgQIECBAgAABAgQIECBAgACBmsDTzz1b25+/s2gQmZyYhJGLDTB/QK8JECBAgAABAgQIECBAgAABAgQIEIhPYKmbGn01O75rQsUECBAgQIAAAQIECBAgQIAAAQIEMhcQRGZObkICBAgQIECAAAECBAgQIECAAAEC8QkIIuPruYoJECBAgAABAgQIECBAgAABAgQIZC4giMyc3IQECBAgQIAAAQIECBAgQIAAAQIE4hMQRMbXcxUTIECAAAECBAgQIECAAAECBAgQyFxAEJk5uQkJECBAgAABAgQIECBAgAABAgQIxCcgiIyv5yomQIAAAQIECBAgQIAAAQIECBAgkLmAIDJzchMSIECAAAECBAgQIECAAAECBAgQiE9AEBlfz1VMgAABAgQIECBAgAABAgQIECBAIHMBQWTm5CYkQIAAAQIECBAgQIAAAQIECBAgEJ+AIDK+nquYAAECBAgQIECAAAECBAgQIECAQOYCgsjMyU1IgAABAgQIECBAgAABAgQIECBAID4BQWR8PVcxAQIECBAgQIAAAQIECBAgQIAAgcwFBJGZk5uQAAECBAgQIECAAAECBAgQIECAQHwCgsj4eq5iAgQIECBAgAABAgQIECBAgAABApkLCCIzJzchAQIECBAgQIAAAQIECBAgQIAAgfgEBJHx9VzFBAgQIECAAAECBAgQIECAAAECBDIXEERmTm5CAgQIECBAgAABAgQIECBAgAABAvEJCCLj67mKCRAgQIAAAQIECBAgQIAAAQIECGQuIIjMnNyEBAgQIECAAAECBAgQIECAAAECBOITEETG13MVEyBAgAABAgQIECBAgAABAgQIEMhcQBCZObkJCRAgQIAAAQIECBAgQIAAAQIECMQnIIiMr+cqJkCAAAECBAgQIECAAAECBAgQIJC5gCAyc3ITEiBAgAABAgQIECBAgAABAgQIEIhPQBAZX89VTIAAAQIECBAgQIAAAQIECBAgQCBzAUFk5uQmJECAAAECBAgQIECAAAECBAgQIBCfgCAyvp6rmAABAgQIECBAgAABAgQIECBAgEDmAoLIzMlNSIAAAQIECBAgQIAAAQIECBAgQCA+AUFkfD1XMQECBAgQIECAAAECBAgQIECAAIHMBQSRmZObkAABAgQIECBAgAABAgQIECBAgEB8AoLI+HquYgIECBAgQIAAAQIECBAgQIAAAQKZCwgiMyc3IQECBAgQIECAAAECBAgQIECAAIH4BASR8fVcxQQIECBAgAABAgQIECBAgAABAgQyFxBEZk5uQgIECBAgQIAAAQIECBAgQIAAAQLxCQgi4+u5igkQIECAAAECBAgQIECAAAECBAhkLiCIzJzchAQIECBAgAABAgQIECBAgAABAgTiExBExtdzFRMgQIAAAQIECBAgQIAAAQIECBDIXEAQmTm5CQkQIECAAAECBAgQIECAAAECBAjEJyCIjK/nKiZAgAABAgQIECBAgAABAgQIECCQuYAgMnNyExIgQIAAAQIECBAgQIAAAQIECBCIT0AQGV/PVUyAAAECBAgQIECAAAECBAgQIEAgcwFBZObkJiRAgAABAgQIECBAgAABAgQIECAQn4AgMr6eq5gAAQIECBAgQIAAAQIECBAgQIBA5gKCyMzJTUiAAAECBAgQIECAAAECBAgQIEAgPgFBZHw9VzEBAgQIECBAgAABAgQIECBAgACBzAUEkZmTm5AAAQIECBAgQIAAAQIECBAgQIBAfAKCyPh6rmICBAgQIECAAAECBAgQIECAAAECmQsIIjMnNyEBAgQIECBAgAABAgQIECBAgACB+AQEkfH1XMUECBAgQIAAAQIECBAgQIAAAQIEMhcQRGZObkICBAgQIECAAAECBAgQIECAAAEC8QkIIuPruYoJECBAgAABAgQIECBAgAABAgQIZC4giMyc3IQECBAgQIAAAQIECBAgQIAAAQIE4hMQRMbXcxUTIECAAAECBAgQIECAAAECBAgQyFxAEJk5uQkJECBAgAABAgQIECBAgAABAgQIxCcgiIyv5yomQIAAAQIECBAgQIAAAQIECBAgkLmAIDJzchMSIECAAAECBAgQIECAAAECBAgQiE9AEBlfz1VMgAABAgQIECBAgAABAgQIECBAIHMBQWTm5CYkQIAAAQIECBAgQIAAAQIECBAgEJ+AIDK+nquYAAECBAgQIECAAAECBAgQIECAQOYCgsjMyU1IgAABAgQIECBAgAABAgQIECBAID4BQWR8PVcxAQIECBAgQIAAAQIECBAgQIAAgcwFBJGZk5uQAAECBAgQIECAAAECBAgQIECAQHwCgsj4eq5iAgQIECBAgAABAgQIECBAgAABApkLCCIzJzchAQIECBAgQIAAAQIECBAgQIAAgfgEBJHx9VzFBAgQIECAAAECBAgQIECAAAECBDIXEERmTm5CAgQIECBAgAABAgQIECBAgAABAvEJCCLj67mKCRAgQIAAAQIECBAgQIAAAQIECGQuIIjMnNyEBAgQIECAAAECBAgQIECAAAECBOITEETG13MVEyBAgAABAgQIECBAgAABAgQIEMhcQBCZObkJCRAgQIAAAQIECBAgQIAAAQIECMQnIIiMr+cqJkCAAAECBAgQIECAAAECBAgQIJC5gCAyc3ITEiBAgAABAgQIECBAgAABAgQIEIhPQBAZX89VTIAAAQIECBAgQIAAAQIECBAgQCBzAUFk5uQmJECAAAECBAgQIECAAAECBAgQIBCfgCAyvp6rmAABAgQIECBAgAABAgQIECBAgEDmAoLIzMlNSIAAAQIECBAgQIAAAQIECBAgQCA+AUFkfD1XMQECBAgQIECAAAECBAgQIECAAIHMBQSRmZObkAABAgQIECBAgAABAgQIECBAgEB8AoLI+HquYgIECBAgQIAAAQIECBAgQIAAAQKZCwgiMyc3IQECBAgQIECAAAECBAgQIECAAIH4BASR8fVcxQQIECBAgAABAgQIECBAgAABAgQyFxBEZk5uQgIECBAgQIAAAQIECBAgQIAAAQLxCQgi4+u5igkQIECAAAECBAgQIECAAAECBAhkLiCIzJzchAQIECBAgAABAgQIECBAgAABAgTiExBExtdzFRMgQIAAAQIECBAgQIAAAQIECBDIXEAQmTm5CQkQIECAAAECBAgQIECAAAECBAjEJyCIjK/nKiZAgAABAgQIECBAgAABAgQIECCQuYAgMnNyExIgQIAAAQIECBAgQIAAAQIECBCIT0AQGV/PVUyAAAECBAgQIECAAAECBAgQIEAgcwFBZObkJiRAgAABAgQIECBAgAABAgQIECAQn4AgMr6eq5gAAQIECBAgQIAAAQIECBAgQIBA5gKCyMzJTUiAAAECBAgQIECAAAECBAgQIEAgPgFBZHw9VzEBAgQIECBAgAABAgQIECBAgACBzAUEkZmTm5AAAQIECBAgQIAAAQIECBAgQIBAfAKCyPh6rmICBAgQIECAAAECBAgQIECAAAECmQsIIjMnNyEBAgQIECBAgAABAgQIECBAgACB+AQEkfH1XMUECBAgQIAAAQIECBAgQIAAAQIEMhcQRGZObkICBAgQIECAAAECBAgQIECAAAEC8QkIIuPruYoJECBAgAABAgQIECBAgAABAgQIZC4giMyc3IQECBAgQIAAAQIECBAgQIAAAQIE4hMQRMbXcxUTIECAAAECBAgQIECAAAECBAgQyFxAEJk5uQkJECBAgAABAgQIFFdg8shkuPOOO4pbgJUTIECAAAECLRNY1bKZTUyAAAECBAgQIECAQKEEkhByy+brK2u+Yfv2Qq3dYgkQIECAAIHWC7gjsvU9sAICBAgQIECAAAECuReYHULu3bc/9+u1QAIECBAgQCB/AoLI/PXEiggQIECAAAECBAjkSmB+CNnR2ZGr9VkMAQIECBAgUAwBQWQx+mSVBAgQIECAAAECBFoiIIRsCbtJCRAgQIBAKQUEkaVsq6IIECBAgEDrBG74jx8LYwfGWrcAMxMg0DQBIWTTKA1EgAABAgQIzAgIIl0GBAgQIECAQFMFXnrpX0N/X1/Yt3dfU8c1GAEC2QoIIbP1NhsBAgQIEIhBQBAZQ5fVSIAAAQIEMhTYPToautd1h507doShgcEMZzYVAQLNEhBCNkvSOAQIECBAgMBsAUHkbA37BAgQIECAwIoF2traQhJGbu3tDXtm/gojV0xqAAKZCgghM+U2GQECBAgQiEpgVVTVKpYAAQIECBDIRCAJIweGBitzJWFkslVfV174hwCBXAoIIXPZFosiQIAAAQKlERBElqaVCiFAgAABAvkTqIaP1TDypk/9dUhCShsBAvkTEELmrydWRIAAAQIEyiYgiCxbR9VDgAABAgRyJjA7jDx8+NHK17aFkTlrkuVELyCEjP4SAECAAAECBDIR8BuRmTCbhAABAgQIxC2QhJHDIyNh/NB42Dbz25HT09Nxg6ieQI4EhJA5aoalECBAgACBkgsIIkveYOURIECAAIG8CPRs7BFG5qUZ1kHg1wJCSJcCAQIECBAgkKWAIDJLbXMRIECAAIHIBeaHkUkIYiNAoDUCQsjWuJuVAAECBAjELCCIjLn7aidAgAABAi0QmB1Gbtl8fRBGtqAJpoxeQAgZ/SUAgAABAgQItERAENkSdpMSIECAAIG4BZIw8n98//sVBGFk3NeC6rMXEEJmb25GAgQIECBA4FcCgkhXAgECBAgQINASgY7OjrB33/7K3MLIlrTApBEKCCEjbLqSCRAgQIBAjgQEkTlqhqUQIECAAIHYBOaHkWMHxmIjUC+BzASEkJlRm4gAAQIECBBYQEAQuQCMtwkQIECAAIFsBKph5OrVq0N/X18QRmbjbpa4BISQcfVbtQQIECBAIK8Cgsi8dsa6CBAgQIBARAJJGHnPvfeG7nXdwsiI+q7UbASqIeSJX5wId3z5yyH535uNAAECBAgQINAKAUFkK9TNSYAAAQIECJwi0NbWFnaPjgojT5HxBoHlC0xNTYXkN1iTEHJ4ZCR0dXUtfzBnEiBAgAABAgRWKCCIXCGg0wkQIECAAIHmCcwPI2/bdVvzBjcSgcgEpqenK3cYV0PI5Gn1NgIECBAgQIBAKwUEka3UNzcBAgQIECBwikA1jLxqw4YwMjwchgYGTznGGwQILC6QhJDbenvD+KHxyp2QQsjFvXxKgAABAgQIZCMgiMzG2SwECBAgQIBAAwJJGHnnV74cts4EKXtmvq4tjGwAz6HRCwgho78EABAgQIAAgdwKrMrtyiyMAAECBAgQiF5gYGiwYpCEkclWfV154R8CBE4REEKeQuINAgQIECBAIEcCgsgcNcNSCBAgQIAAgVMFquFjEkYePvxo5YE2yR2TNgIE5goIIed6eEWAAAECBAjkT8BXs/PXEysiQIAAAQIE5gkkYeTNt+ys/N5d8rt3SeBiI0DgNQEh5GsW9ggQIECAAIH8Cggi89sbKyNAgAABAgRmCdywfXvloRvJwzeEkbNg7EYvIISM/hIAQIAAAQIECiMgiCxMqyyUAAECBAgQSJ78Ozwy4s5IlwKBXwsIIV0KBAgQIECAQJEEBJFF6pa1EiBAgAABAmF2GHnl+vVh8sgkFQJRCggho2y7ogkQIECAQKEFBJGFbp/FEyBAgACBOAWSMPKre/ZUit+y+XphZJyXQdRVCyGjbr/iCRAgQIBAYQUEkYVtnYUTIECAAIG4BS5ff3nYu29/BUEYGfe1EFv1QsjYOq5eAgQIECBQHgFBZHl6qRICBAgQIBCdQEdnx5wwcmJiIjoDBcclIISMq9+qJUCAAAECZRMQRJato+ohQIAAAQKRCcwOIz+46f1h7MBYZALKjUVACBlLp9VJgAABAgTKKyCILG9vVUaAAAECBKIRSMLI+8fGQve67tDf1yeMjKbz8RQqhIyn1yolQIAAAQJlFhBElrm7aiNAgAABAhEJtLe3h92jo8LIiHoeS6lCyFg6rU4CBAgQIFB+AUFk+XusQgIECBAgEI1AW1vbnDBy39590dSu0HIKCCHL2VdVESBAgACBWAUEkbF2Xt0ECBAgQKCkArPDyJ07doShgcGSVqqssgsIIcveYfURIECAAIH4BASR8fVcxQQIECBAoPQCSRj5zbvvDlt7e8Oema9rCyNL3/LSFSiELF1LFUSAAAECBAjMCKyiQIAAAQIECBAoq8DA0GCltCSMTLbq68oL/xDIqYAQMqeNsSwCBAgQIEBgxQKCyBUTGoAAAQIECBDIs0A1fEzCyJMnXwpDt94akjsmbQTyKCCEzGNXrIkAAQIECBBoloAgslmSxiFAgAABAgRyKzA7jDx69GjlgTbCyNy2K9qFCSGjbb3CCRAgQIBANAJ+IzKaViuUAAECBAjELZCEkcMjI2H80HjYNvPbkUnoYyOQFwEhZF46YR0ECBAgQIBAmgKCyDR1jU2AAAECBAjkSqBnY48wMlcdsZhEQAjpOiBAgAABAgRiERBExtJpdRIgQIAAAQIVgflh5OSRSTIEWiYghGwZvYkJECBAgACBFggIIluAbkoCBAgQIECgtQLVMPLZZ58NWzZfH4SRre1HrLMLIWPtvLoJECBAgEC8AoLIeHuvcgIECBAgELVAEkbu3be/YiCMjPpSaEnxQsiWsJuUAAECBAgQaLGAILLFDTA9AQIECBAg0DqBjs4OYWTr+KOdWQgZbesVToAAAQIEohcQREZ/CQAgQIAAAQJxC8wPI8cOjMUNovpUBYSQqfIanAABAgQIEMi5gCAy5w2yPAIECBAgQCB9gWoYuXr16tDf1xeEkembl2WGqampkPxXzyaErEfJMQQIECBAgECZBQSRZe6u2ggQIECAAIG6BZIw8p577w3d67qFkXWrOXDzBz8U/vjdf7TkA4+EkK4VAgQIECBAgEAIgkhXAQECBAgQIEDg1wJtbW1h9+ioMNIVUZdA8rT1559/PrzyyivhQx/4wIJhpBCyLk4HESBAgAABAhEICCIjaLISCRAgQIAAgfoF5oeRt+26rf6THRmVwH333Ver9+WXXz5tGCmErBHZIUCAAAECBAi4I9I1QIAAAQIECBCYL1ANI6/bdF0YGR4OfR//eN2/Azh/LK/LKzC6e3etuFdffTXMDyOFkDUeOwQIECBAgACBioA7Il0IBAgQIECAAIHTCCRh5K7bbw/v7Xlf+N7Yd8O73vHOcO2fXhPuvOOOBb+Ce5phvFVSgR899KOQBI2ztySMPHnyZPjYtm3h5z//edjW2xvGD42Hm2/ZGXo29sw+1D4BAgQIECBAIEqBM2b+D9Ori1V+4Xnnh6efe3axQ3xGgAABAgQIECitQBI2/cFb33ZKfWvWrAl/9J73hA3vfne4fP3lp3zujXILDA0Mhj0zvye60PZbv/Vb4d/+7d/C1pkwcmBocKHDvE+AAAECBAgQKJXAUjmiILJU7VYMAQIECBAgkIbALTt3hr1f/8aiQ2+8+urwrj/8w3DFlVeE9vb2RY/1YfEFknB6/h2R86v6ndWrw4M/eigkd9faCBAgQIAAAQIxCCwVRPpqdgxXgRoJECBAgACBFQm8973vW/L8A/ffH3bu2FH5CvfVPRtD8pCb5KnKtvIJjB0YWzKETKr+1xMnwtaP/EVdx5ZPSUUECBAgQIAAgVMF3BF5qol3CBAgQIAAAQKnCFz2tt+vPIzklA+WeCO5G+79H/hA5SvcXd1d7o5bwqsIH/+fn+gPSfBc7/YHl10W9nztv+t9vWCOI0CAAAECBAor4I7IwrbOwgkQIECAAIE8CWz96EeXtZzk67vJbwl+dOvWym9NJg85sRVXIOlnIyFkUum/PPKIOyOL23IrJ0CAAAECBJoo4KvZTcQ0FAECBAgQIFBegWuuuaa8xamsboGHHnyo7mNnH1gNI2e/Z58AAQIECBAgEJuAIDK2jquXAAECBAgQWJZAR2dHeOvbTn16diODDY+MeMJ2I2A5PPYfv/SlZa8qCSOTBx/ZCBAgQIAAAQKxCggiY+28ugkQIECAAIGGBf78wx9u+JzqCUkI2bOxp/rS3wIKTE1NhcOPPrqilSdPX7/zjjtWNIaTCRAgQIAAAQJFFRBEFrVz1k2AAAECBAhkLrDx6o3LmrOvv18IuSy5fJ304A8fXPGCkrtqL774khWPYwACBAgQIECAQBEFVhVx0dZMgAABAgQIEGiFQPIE7I1XX93Qw0q29vaGG2+6sRXLNWeTBb7+T/+0rBGTa+a973tf6F7XHdrb25c1hpMIECBAgAABAmUQEESWoYtqIECAAAECBDITSAKlep+avOXP/ywMDA1mtjYTpScweWSy7q9lJ4H1FVdeWQkf11+xPiSvbQQIECBAgAABAiEIIl0FBAgQIECAAIEGBJLfebz5021henp6ybPe9a4/XPIYBxRD4L777lt0oUnY+P4PfCBsePe7PZBoUSkfEiBAgAABAjELCCJj7r7aCRAgQIAAgWUJJIHTntHRBc9Nfgfwda/7zdDf1xdefvlzYfOWzQse64NiCHz1K185ZaHnnHNOuHbTpnDNNdeE5KnqNgIECBAgQIAAgcUFBJGL+/iUAAECBAgQIHCKwIc/8pEFg8g/uOyysOdr/71yzraZ34fcuWNHeOLxx31F+xTF4rxxy86d4ZVXXqksOAmZk6enr1u3TvhYnBZaKQECBAgQIJATAUFkThphGQQIECBAgEBxBJK735K74Z5//vk5i37zpZdWQsjqbwJ+8+67w9DAYC209HuRc7gK8SLp396vfyO8t+d94f/6z//Zw2YK0TWLJECAAAECBPIq8Bt5XZh1ESBAgAABAgTyLPDxT3xizvKSEHLv/n2nPJgkCR+TJ2cnX+VOQi1bcQSqIXLSv5G//3shZHFaZ6UECBAgQIBATgXcEZnTxlgWAQIECBAgkG+BK668orbAM888M3zhi188JYSsHlC9EzIJI0+efCkM3XrrgsdWz/G3tQKzQ8hq/1q7IrMTIECAAAECBIovIIgsfg9VQIAAAQIECLRAoL29PbzzXf8h/PTRwyH5CvZSDyuphllJGHn06NGwe+Zv9SvcLVi+KRcREEIuguMjAgQIECBAgMAKBM54dWZb7PwLzzs/PP3cs4sd4jMCBAgQIECAQJQC09PTlbobCRTHDoxVnqbdva5bGJnDq0YImcOmWBIBAgQIECBQGIGlckS/EVmYVlooAQIECBAgkDeBJIBsJIRM1t+zsScMj4yE8UPjIXmqdjXMzFttMa5HCBlj19VMgAABAgQIZCkgiMxS21wECBAgQIAAgRmB2WHkpmuvDZNHJrm0WEAI2eIGmJ4AAQIECBCIQkAQGUWbFUmAAAECBAjkTaAaRp44cSJs2Xy9MLKFDRJCthDf1AQIECBAgEBUAoLIqNqtWAIECBAgQCBPAkkYuXff/sqShJGt6YwQsjXuZiVAgAABAgTiFBBExtl3VRMgQIAAAQI5EUieti2MbE0zhJCtcTcrAQIECBAgEK+AIDLe3qucAAECBAgQyInA/DAyebK2LV0BIWS6vkYnQIAAAQIECJxOQBB5OhXvESBAgAABAgQyFqiGkatXrw79fX1BGJleA4SQ6dkamQABAgQIECCwmIAgcjEdnxEgQIAAAQIEMhRIwsh77r03dK/rFkam5C6ETAnWsAQIECBAgACBOgQEkXUgOYQAAQIECBAgkJVAW1tb2D06KoxMAVwImQKqIQkQIECAAAECDQgIIhvAcigBAgQIECBAIAuB+WFkEqDZViYghFyZn7MJECBAgAABAs0QEEQ2Q9EYBAgQIECAAIEmC1TDyOs2XRf2zNwhKYxcPrAQcvl2ziRAgAABAgQINFNgVTMHMxYBAgQIECBAgEDzBJIwctftt4czzzyrEkYmIw8MDTZvgghGEkJG0GQlEiBAgAABAoUREEQWplUWSoAAAQIECMQqUA0fkzsjk636OlaPeusWQtYr5TgCBAgQIECAQDYCgshsnM1CgAABAgQIEFiRQDV8TMLIw4cfrTzQJrlj0nZ6ASHk6V28S4AAAQIECBBopYDfiGylvrkJECBAgAABAg0IJGHkzbfsDOOHxsO23t4wPT3dwNnxHCqEjKfXKiVAgAABAgSKJSCILFa/rJYAAQIECBCIXOCG7dvD8MiIMHKB66AaQl61YYOvsC9g5G0CBAgQIECAQKsEBJGtkjcvAQIECBAgQGCZAj0be+aEkVNTU8scqVynVUPI7nXd4Qt/98VyFacaAgQIECBAgEAJBASRJWiiEggQIECAAIH4BGaHkVf39ITJI5PxIcyqeOzAWOXJ4kkIuXvmdzT9fuYsHLsECBAgQIAAgZwICCJz0gjLIECAAAECBAg0KpCEkXfd863KaVs2Xx9tGJmEkP19fUEI2egV5HgCBAgQIECAQLYCgshsvc1GgAABAgQIEGiqQFdXV9i7b39lzBjDSCFkUy8ngxEgQIAAAQIEUhUQRKbKa3ACBAgQIECAQPoCHZ0dc8LIiYmJ9CfNwQxCyBw0wRIIECBAgAABAg0ICCIbwHIoAQIECBAgQCCvArPDyA9uen9IQroyb0LIMndXbQQIECBAgEBZBQSRZe2suggQIECAAIHoBJIw8ocPPVT5rcTkNxPLGkYKIaO7tBVMgAABAgQIlERAEFmSRiqDAAECBAgQIJAIJE+LTp4anTy4pYxhpBDSdU6AAAECBAgQKK6AILK4vbNyAgQIECBAgMBpBeaHkXfeccdpjyvam0LIonXMegkQIECAAAECcwUEkXM9vCJAgAABAgQIlEJgdhj52b/5TBgaGCx0XULIQrfP4gkQIECAAAECFQFBpAuBAAECBAgQIFBSgSSM/Obdd4etvb1hz8zXtYsaRgohS3qBKosAAQIECBCITmBVdBUrmAABAgQIECAQmcDA0GCl4iSMTLbq68qLnP8jhMx5gyyPAAECBAgQINCAgCCyASyHEiBAgAABAgSKKlANH5Mw8uTJl8LQrbdWHmyT53qEkHnujrURIECAAAECBBoXEEQ2buYMAgQIECBAgEAhBZIw8o1nnhlGhofD0aNHK0/XTr6+ncdNCJnHrlgTAQIECBAgQGBlAn4jcmV+ziZAgAABAgQIFErgxptuDMMjI2H80HjYNvPbkdPT07lbvxAydy2xIAIECBAgQIBAUwQEkU1hNAgBAgQIECBAoDgCPRt7chtGCiGLcx1ZKQECBAgQIECgUQFBZKNijidAgAABAgQIlEBgdhi56dprw+SRyZZXJYRseQssgAABAgQIECCQqoAgMlVegxMgQIAAAQIE8itQDSNPnDgRtmy+vqVhpBAyv9eJlREgQIAAAQIEmiUgiGyWpHEIECBAgAABAgUUSMLIvfv2V1beqjBSCFnAC8eSCRAgQIAAAQLLEBBELgPNKQQIECBAgACBMgl0dHa0LIwUQpbpSlILAQIECBAgQGBxAUHk4j4+JUCAAAECBAhEITA/jEwCwrQ3IWTawsYnQIAAAQIECORLQBCZr35YDQECBAgQIECgZQLVMPL8888P/X19Ic0wUgjZsjabmAABAgQIECDQMgFBZMvoTUyAAAECBAgQyJ9AEkbuHh0N3eu6UwsjhZD567sVESBAgAABAgSyEBBEZqFsDgIECBAgQIBAgQTa2tpSCyOFkAW6ECyVAAECBAgQINBkAUFkk0ENR4AAAQIECBAog8D8MHJoYHDFZQkhV0xoAAIECBAgQIBAoQUEkYVun8UTIECAAAECBNITqIaR1226LuyZ+br2SsJIIWR6fTIyAQIECBAgQKAoAquKslDrJECAAAECBAgQyF4gCSN33X57OPPMsyphZLKCgaHBhhYihGyIy8EECBAgQIAAgdIKCCJL21qFESBAgAABAgSaJ1ANH5M7I5Ot+nqpGYSQSwn5nAABAgQIECAQj4AgMp5eq5QAAQIECBAgsCKBaviYhJGHDz9aeaBNcsfkQpsQciEZ7xMgQIAAAQIE4hTwG5Fx9l3VBAgQIECAAIFlCSRh5Gc+97kwfmg8bOvtDdPT06cdRwh5WhZvEiBAgAABAgSiFhBERt1+xRMgQIAAAQIEGhfYvGVzGB4ZWTCMFEI2buoMAgQIECBAgEAMAoLIGLqsRgIECBAgQIBAkwV6NvbMCSOnpqYqMwghmwxtOAIECBAgQIBAiQQEkSVqplIIECBAgAABAlkKzA4jr+7pCV+588uhv68vdK/rXvL3I7Ncp7kIECBAgAABAgTyISCIzEcfrIIAAQIECBAgUEiBJIy8655vVdb++c9/Lrz1bW8TQhaykxZNgAABAgQIEEhfQBCZvrEZCBAgQIAAAQKlFujq6gp79+0Pb/jtN4TXv/71YbEnaZcaQnEECBAgQIAAAQKLCggiF+XxIQECBAgQIECAQD0CHZ0d4eOf6AuHDh4Mye9E2ggQKJfAvr37wsTERLmKUg0BAgQIZC4giMyc3IQECBAgQIAAgXIK3LB9e7jgwgvC7q98uZwFqopApAJDA4Nh544d4aknn4pUQNkECBAg0CwBQWSzJI1DgAABAgQIECAQ3tezMYwfGg/T09M0CBAogUASQu4ZHQ1be3vD5i2bS1CREggQIECglQKCyFbqm5sAAQIECBAgUDKBqzZcVanoyJEjJatMOQTiE5gdQg4MDcYHoGICBAgQaLqAILLppAYkQIAAAQIECBAgQIBAsQWEkMXun9UTIEAgrwKCyLx2xroIECBAgAABAgQIECDQAgEhZAvQTUmAAIFIBASRkTRamQQIECBAgAABAgQIEFhKQAi5lJDPCRAgQGAlAoLIleg5lwABAgQIECBAgAABAiUREEKWpJHKIECAQI4FBJE5bo6lESBAgAABAgSKJjD9sqdlF61n1ksgERBCug4IECBAIAsBQWQWyuYgQIAAAQIECEQi8OSTT1Qq7erqiqRiZRIovoAQsvg9VAEBAgSKIiCILEqnrJMAAQIECBAgUACBF55/Iax+0+oCrNQSCRBIBISQrgMCBAgQyFJAEJmltrkIECBAgAABAiUXOHbsWLjsMndDlrzNyiuJgBCyJI1UBgECBAokIIgsULMslQABAgQIECCQd4EfPPBAOPfcc/O+TOsjEL2AEDL6SwAAAQIEWiIgiGwJu0kJECBAgAABAuUTmJqaqhS19py15StORQRKJCCELFEzlUKAAIGCCQgiC9YwyyVAgAABAgQI5FXg+PHjlaWte/vb87pE6yIQvUA1hOxe1x0Ghgaj9wBAgAABAtkKCCKz9TYbAQIECBAgQKC0AocOHqzU1tnZWdoaFUagyAK37bot7BkdDUkIuXvmr40AAQIECGQtIIjMWtx8BAgQIECAAIGSClSfmN3W1lbSCpVFoLgCYwfGwsjwcC2E9L/T4vbSygkQIFBkAUFkkbtn7QQIECBAgACBHAl4YnaOmmEpBGYJJCFkf1+fEHKWiV0CBAgQaI2AILI17mYlQIAAAQIECJROIHli9qVveUvp6lIQgSILCCGL3D1rJ0CAQPkEBJHl66mKCBAgQIAAAQItEzjzzDe2bG4TEyAwV0AIOdfDKwIECBBovYAgsvU9sAICBAgQIECAQOEFJiYmKjVcfPElha9FAQTKICCELEMX1UCAAIHyCQgiy9dTFREgQIAAAQIEWibQ9kYPqmkZvokJ/FpACOlSIECAAIG8Cggi89oZ6yJAgAABAgQIECBAgECDAkLIBsEcToAAAQKZCggiM+U2GQECBAgQIECAAAECBNIREEKm42pUAgQIEGiegCCyeZZGIkCAAAECBAgQIECAQEsEhJAtYTcpAQIECDQoIIhsEMzhBAgQIECAAAECCwtMvzy98Ic+IUAgFQEhZCqsBiVAgACBFAQEkSmgGpIAAQIECBAgEJtAZ2dnpeSf/OQnsZWuXgItFRBCtpTf5AQIECDQoIAgskEwhxMgQIAAAQIECJwq0NbWFrrXdYfvjh049UPvECCQioAQMhVWgxIgQIBAigKrUhzb0AQIECBAgAABAhEJbPuPHwv9fX1haGAwDAwNrqjy6enpcOTIkXD8xePhxRdfCC88/0I4duzYnDEvfctbwiWXXBLWX7E+JEGojUBMAkLImLqtVgIECJRHQBBZnl6qhAABAgQIECDQUoGejT3hJ//cG/aMjoaTJ18Kn/r0p0N7e/uia5odOD7xxBPhsZ/+NDzyyEQ48YsTc85b/abV4bLLuua8NzI8XHvd198f/vL/+EuBZE3ETpkFhJBl7q7aCBAgUG6BM16d2RYr8cLzzg9PP/fsYof4jAABAgQIECBAgEBN4LZdt4VqSJh8Xfuss34nvOOd76h8fvLky5WwMXlxusAxOf6tb31bWHvO2rDu7W8Pb2x7Y+jo7KiNPX9nYmIifG3PnvDte75d+Wr4N+++e/4hXhMolYAQslTtVAwBAgRKJ7BUjiiILF3LFUSAAAECBAgQaL3A1NRUuP873wkP//jh8LOfPReeefqZ2qKu2rChsn/uuedWAseLL74knH322YsGjrWTF9jZt3df2LljR7j5lp3hhu3bFzjK2wSKLSCELHb/rJ4AAQIxCAgiY+iyGgkQIECAAAECBMINM79RmdxleXB8nAaB0gkIIUvXUgURIECglAJLBZGeml3KtiuKAAECBAgQIBCfQO9HP1r5bcnk69o2AmUSEEKWqZtqIUCAQNwCgsi4+696AgQIECBAgEBpBLq6f/Uwm0MHD5amJoUQEEK6BggQIECgTAKCyDJ1Uy0ECBAgQIAAgYgF2traIq5e6WUUEEKWsatqIkCAQNwCgsi4+696AgQIECBAgAABAgRyKCCEzGFTLIkAAQIEViwgiFwxoQEIECBAgAABAgQIECDQPAEhZPMsjUSAAAEC+RIQROarH1ZDgAABAgQIECBAgEDEAkLIiJuvdAIECEQgIIiMoMlKJECAAAECBAgQIEAg/wJCyPz3yAoJECBAYGUCgsiV+TmbAAECBAgQIEAgJwITExOVlaxZszYnK7IMAvULCCHrt3IkAQIECBRXQBBZ3N5ZOQECBAgQIECAwGkEzl5z9mne9RaB/AoIIfPbGysjQIAAgeYKCCKb62k0AgQIECBAgACBFgkcOniwMnNnZ2eLVmBaAo0LCCEbN3MGAQIECBRXQBBZ3N5ZOQECBAgQIECAwCyBF55/Iax+0+rQ1tY26127BPIrIITMb2+sjAABAgTSERBEpuNqVAIECBAgQIAAgYwFjh07Fi67rCvjWU1HYHkCQsjluTmLAAECBIotIIgsdv+sngABAgQIECBA4NcCP3jggXDpW97Cg0DuBYSQuW+RBRIgQIBASgKCyJRgDUuAAAECBAgQIJCdwOSRycpka9d6YnZ26mZajoAQcjlqziFAgACBsggIIsvSSXUQIECAAAECBCIWOH78eKX6iy6+KGIFpeddQAiZ9w5ZHwECBAikLSCITFvY+AQIECBAgAABAqkLPPnkE5U5PDE7dWoTLFNACLlMOKcRIECAQKkEBJGlaqdiCBAgQIAAAQJxCnhidpx9L0rV1RAyear78MiIJ7sXpXHWSYAAAQJNFxBENp3UgAQIECBAgAABAlkLeGJ21uJxzzcxMRGmp6frQvjRQz8K/X19IQkh9+7bH9rb2+s6z0EECBAgQKCMAoLIMnZVTQQIECBAgACByAQeeWQinHvuuZFVrdxWCCTB4gc3vT9s/chfLBlGJg9R+uR/+qtaCNnR2dGKJZuTAAECBAjkRkAQmZtWWAgBAgQIECBAgMByBU784kRYe44nZi/Xz3n1Czzwv/5X5eB/eeSRsHPHzQuemISQWzZfX/k8uRNSCLkglQ8IECBAICIBQWREzVYqAQIECBAgQIAAAQLLF0i+jn33XXfVBjhw//3hlp07a6+rO0LIqoS/BAgQIEBgroAgcq6HVwQIECBAgAABAgQIEDitwEMPPhReeeWVOZ/t/fo35oSRQsg5PF4QIECAAIE5AqvmvPKCAAECBAgQIECAAAECBE4r8L3vfve07ydh5Ot+83Xhwx/5iK9jn1bImwQIECBA4FcC7oh0JRAgQIAAAQIECBAgQGAJgeRr2clXsRfa9oyOhmuuvrrysd+EXEjJ+wQIECAQu4AgMvYrQP0ECBAgQIAAgRIIdK/rDg//+OESVKKEvAokX8teavv3f//3cPnl6z2YZikonxMgQIBAtAKCyGhbr3ACBAgQIECAQHkE3vrWt4UfPPBASO5asxFIQ+Afv/Sluoa97957w227bqvrWAcRIECAAIHYBPxGZGwdVy8BAgQIECBAoIQC11x3bUi+Grvrb/9rGBgabEqFSah55MiRyliHDh6cM+aaNWvDRRdd5M63OSrlfTE1NRUOP/po3QWODA+HSy65JPRs7Kn7HAcSIECAAIEYBASRMXRZjQQIECBAgACBkgt0dXWFrb29lTAyKfWmT/11aGtrq6vqauD41JNPhScefzwcO3ascndlPSdfcOEFYfOWLeGG7dvrOdwxBRV48IcPNrzy/r6+mXNGhJENyzmBAAECBMoscMarM9tiBV543vnh6eeeXewQnxEgQIAAAQIECBDIhcDQwGAljFz9ptXhT//0mrD2nLVh3dvfXltbEja+/PLJ8MLzL1QCx0cemQgnfnGi9nmyc9WGDeHcc8+dc25nZ+ecYHNiYiIkY915x38Lzzz9TEh+o3L3zB2Z9Yafcyb0IvcC185cS43cETm7oOERYeRsD/sECBAgUG6BpXJEQWS5+686AgQIECBAgEB0AklI+LU9e8KDDz54SshYxUiCyssu65oTOJ599tmhvb29ekjdf/ft3Rd27tgR+vr7w4033Vj3eQ4shsDkkcnwJ+95z4oWK4xcEZ+TCRAgQKBAAoLIAjXLUgkQIECAAAECBJorUP3adXXU5YaN1fMX+nvTJz8Zvn3Pt8P/fvjHywozFxrX+60XSB48k/zm40o318ZKBZ1PgAABAkUQWCqI9NTsInTRGgkQIECAAAECBJYlkHxVOvn9yOp/y7njsZ6JP/XpT1cOW85vCdYzvmNaJ3DvPfesaPLkGkx+v9TX9lfE6GQCBAgQKImAh9WUpJHKIECAAAECBAgQaJ1AEnAmD675/v/8nzMPr9ncuoWYuakCydf8n3/++YbHPOecc8K1mzaFa665xpPVG9ZzAgECBAiUWUAQWebuqo0AAQIECBAgQCAzgd/7vfMym8tE2Qjc9+17657orW97W/jzD384rFu3TvhYt5oDCRAgQCA2AUFkbB1XLwECBAgQIECAAAECdQnc9c1vLnrcO9/1HypPZ7/iyiv8NuiiUj4kQIAAAQK/EhBEuhIIECBAgAABAgQINEngpZf+tUkjGabVAnu/sTf88pe/PGUZG6++Orz3fe8L669Y73cfT9HxBgECBAgQWFxAELm4j08JECBAgAABAgQI1C1w1lm/U/exDsyvwOSRyfB//5f/Ulngb//2b4cPfuhDYcO73x0uX395fhdtZQQIECBAoAACgsgCNMkSCRAgQIAAAQIECBDIRiAJIbdsvj68/vWvD5/9/OfCn848cMZGgAABAgQINEdAENkcR6MQIECAAAECBAhELvCznz0Xfv/3fz9yhWKXXw0hkyr2zfw+ZEdnR7ELsnoCBAgQIJAzgd/I2XoshwABAgQIECBAgEAhBZ55+pnw5ksvLeTaLTqE2SHk3n37hZAuCgIECBAgkIKAIDIFVEMSIECAAAECBAjEJZCEWMm2Zs3auAovSbVCyJI0UhkECBAgkHsBQWTuW2SBBAgQIECAAAECeRc4fvx4ZYlnrzk770u1vnkCQsh5IF4SIECAAIEUBQSRKeIamgABAgQIECBAIA6BJ598olJoZ2dnHAWXpEohZEkaqQwCBAgQKIyAILIwrbJQAgQIECBAgACBvAo8/thj4YILLwhtbW15XaJ1zRMQQs4D8ZIAAQIECGQgIIjMANkUBAgQIECAAAEC5RY4evRo+L3fO6/cRZaoOiFkiZqpFAIECBAolIAgslDtslgCBAgQIECAAIE8CowfGg/veOc78rg0a5onIIScB+IlAQIECBDIUEAQmSG2qQgQIECAAAECBMonkARbyeaJ2fnvrRAy/z2yQgIECBAot4Agstz9VR0BAgQIECBAgEDKAp6YnTJwk4YXQjYJ0jAECBAgQGAFAoLIFeA5lQABAgQIECBAgED1idldXV0wcioghMxpYyyLAAECBKITEERG13IFEyBAgAABAgQINFPg5MmXmzmcsZosIIRsMqjhCBAgQIDACgQEkSvAcyoBAgQIECBAgACBx37603DVhg0gcigghMxhUyyJAAECBKIWWBV19YonQIAAAQIECBAgQKCUAtUQ8sQvToSv7tkTOjo7SlmnoggQIECAQJEE3BFZpG5ZKwECBAgQIECAAAECSwpMTU2FLZuvD0kIOTwyEi5ff/mS5ziAAAECBAgQSF9AEJm+sRkIECBAgAABAgQIEMhIYHp6OvT39dVCyJ6NPRnNbBoCBAgQIEBgKQFB5FJCPidAgAABAgQIECBAoBACSQi5rbc3jB8ar9wJKYQsRNsskgABAgQiEhBERtRspRIgQIAAAQIECDRf4Nxzzw2PPDLR/IGN2JCAELIhLgcTIECAAIGWCAgiW8JuUgIECBAgQIAAgbIIXPLmN1e+Bpw8HMXWGgEhZGvczUqAAAECBBoVEEQ2KuZ4AgQIECBAgAABArMErrjyisqrf/j7kVnvNm83efDKxMRE7b/kte01ASHkaxb2CBAgQIBA3gVW5X2B1keAAAECBAgQIEAgzwLt7e2hr78/jAwPhzPPPCsMDA02vNwkXDx+/Hg4dPBgeOH5F8KxY8cqX/dOnvq80HbdpuvCu//oPSHm30EUQi50dXifAAECBAjkU+CMV2e2xZZ24Xnnh6efe3axQ3xGgAABAgQIECBAIHqBoYHBsGd0NFxw4QXhhu1/GS66+KLQ2dkZ2traKjZJaHbkyJHK/uzA8QcPPDDHbvWbVofLLusKyW9Prj1nbXjjG8+sjFU96KknnwpPPP54+M537qt8JfyqDRvCF/7ui7V5qseV/a8QsuwdVh8BAgQIFFFgqRxREFnErlozAQIECBAgQIBALgXGDoyF22/bFZ55+pm61peEiNXAcd3b3z4nuFxqgCSI2/uNb4TP/s1nQnJ35K7bb1/qlNJ8LoQsTSsVQoAAAQIlExBElqyhyiFAgAABAgQIEMi/QPLgmuSr1k8++cScxSZhY7LNvlNyzgHLeHHbrtsqXwu/655vha6urmWMUKxThJDF6pfVEiBAgEBcAoLIuPqtWgIECBAgQIAAgcgEkmDuyvXrwxVXXFH6uyKFkJFd3MolQIAAgcIJLBVEemp24VpqwQQIECBAgAABAgReE0h+gzIJIR988MHX3izhnhCyhE1VEgECBAhEJyCIjK7lCiZAgAABAgQIECibwJsvvbTy4Jqy1VWtRwhZlfCXAAECBAgUW0AQWez+WT0BAgQIECBAgACBypO1E4apqanSaQghS9dSBREgQIBAxAKCyIibr3QCBAgQIECAAIFyCFx08UWVQpIH5JRpE0KWqZtqIUCAAAECIQgiXQUECBAgQIAAAQIECi5w6ODBSgXJ07jLsgkhy9JJdRAgQIAAgdcEBJGvWdgjQIAAAQIECBAgUGiB5ME1ZdiEkGXoohoIECBAgMCpAoLIU028Q4AAAQIECBAgQKBQAidPvlyo9S62WCHkYjo+I0CAAAECxRYQRBa7f1ZPgAABAgQIECBAIDz205+G7nXdhZcQQha+hQogQIAAAQKLCggiF+XxIQECBAgQIECAAIH8C/zsZ8+Fs876nfwvdJEVCiEXwfERAQIECBAoiYAgsiSNVAYBAgQIECBAgEC8As88/Ux4xzvfUVgAIWRhW2fhBAgQIECgIQFBZENcDiZAgAABAgQIECCQL4HJI5OVBa1ZszZfC6tzNULIOqEcRoAAAQIESiAgiCxBE5VAgAABAgQIECAQr8BTTz1VKf7sNWcXDkEIWbiWWTABAgQIEFiRgCByRXxOJkCAAAECBAgQINBagRdffKGygK6urtYupMHZhZANgjmcAAECBAiUQEAQWYImKoEAAQIECBAgQCBegYd//HDhnpgthIz3elU5AQIECMQtIIiMu/+qJ0CAAAECBAgQKLhA8sTs3/3d3y1MFULIwrTKQgkQIECAQNMFBJFNJzUgAQIECBAgQIAAgewEkidmv/nSS7ObcAUzCSFXgOdUAgQIECBQAgFBZAmaqAQCBAgQIECAAIE4BSYmJiqFF+GJ2ULIOK9RVRMgQIAAgdkCgsjZGvYJECBAgAABAgQIFFAg70/MFkIW8KKyZAIECBAgkIKAIDIFVEMSIECAAAECBAgQyELg0MGDlWnOPvvsLKZb1hxCyGWxOYkAAQIECJRSQBBZyrYqigABAgQIECBAICaB9vb2XJYrhMxlWyyKAAECBAi0TEAQ2TJ6ExMgQIAAAQIECBAor4AQsry9VRkBAgQIEFiugCByuXLOI0CAAAECBAgQIEDgtAJCyNOyeJMAAQIECEQvIIiM/hIAQIAAAQIECBAgQKB5AkLI5lkaiQABAgQIlE1AEFm2jqqHAAECBAgQIEAgGoE3vvHMSq2TRyZzUfPsELKvvz/0bOzJxbosggABAgQIEMiHgCAyH32wCgIECBAgQIAAAQINC6xbt65yzlNPPdXwuWmcsK23N4wfGg9bZ/7eeNONaUxhTAIECBAgQKDAAoLIAjfP0gkQIECAAAECBOIW6OjsCBdceEG4/bZdLYcYGhishZADQ4MtX48FECBAgAABAvkTWJW/JVkRAQIECBAgQIAAAQL1CmzesiV89m8+E5IgcCUBYPL17uPHj4cnn3wivPD8C+HYsWPhpZf+tRIuVtey+k2rw2WXdYVL3/KWcM0114QkCE22ZO49o6OVOyFXsobqPP4SIECAAAEC5RQ449WZbbHSLjzv/PD0c88udojPCBAgQIAAAQIECBBooUA1CLxqw4bQ+9GPhsvXX77gapLA8eXpl8OhgwcrgePhw4/OCRuTE6uBY7L/jne+I/lT2R5/7LFw9OjR2vHJV7CTTQhZYfAPAQIECBCIXmCpHFEQGf0lAoAAAQIECBAgQKAMAnfecUf40j/8QzjxixOVcrrXdYezzvqdWmk/eOCB2n51pxo4Jnc4rl27Nlx08UWhs7MztLW1VQ857d+pqanwt5//fPj2Pd+ufJ4Eku6EPC2VNwkQIECAQFQCSwWRvpod1eWgWAIECBAgQIAAgbIK3LB9e9jyZ38WHnrwofDiiy+Eh3/88JxSk7Bw7Tlrw5o1a8PZa86uK3CcM8CsF+3t7WHX7beHVb/5unDX/v2zPrFLgAABAs3BE1UAACDKSURBVAQIEFhYwB2RC9v4hAABAgQIECBAgACBJQRmfy38C3/3xSXvplxiOB8TIECAAAECBRZY6o5IT80ucHMtnQABAgQIECBAgECrBZKvZPf194fkq9/bZu66nJ6ebvWSzE+AAAECBAjkVEAQmdPGWBYBAgQIECBAgACBogjceNONYXhkpPIQG2FkUbpmnQQIECBAIHsBQWT25mYkQIAAAQIECBAgUDqBno09wsjSdVVBBAgQIECguQKCyOZ6Go0AAQIECBAgQIBAtAKzw8gr168Pk0cmo7VQOAECBAgQIHCqgCDyVBPvECBAgAABAgQIECCwTIEkjPzqnj2Vs7dsvl4YuUxHpxEgQIAAgTIKCCLL2FU1ESBAgAABAgQIEGihwOXrLw979+2vrEAY2cJGmJoAAQIECORMQBCZs4ZYDgECBAgQIECAAIEyCHR0dggjy9BINRAgQIAAgSYKCCKbiGkoAgQIECBAgAABAgReE5gdRv7Je94Txg6MvfahPQIECBAgQCA6AUFkdC1XMAECBAgQIECAAIHsBJIw8v6xsdC9rjv09/UJI7OjNxMBAgQIEMidgCAydy2xIAIECBAgQIAAAQLlEmhvbw+7R0eFkeVqq2oIECBAgEDDAoLIhsmcQIAAAQIECBAgQIBAowJtbW1zwsh9e/c1OoTjCRAgQIAAgYILCCIL3kDLJ0CAAAECBAgQIFAUgdlh5M4dO8LQwGBRlm6dBAgQIECAQBMEBJFNQDQEAQIECBAgQIAAAQL1CVTDyK29vWHPzNe1hZH1uTmKAAECBAiUQWBVGYpQAwECBAgQIECAAAECxRFIwsiBocHKgpMwMtmqrysv/EOAAAECBAiUUkAQWcq2KooAAQIECBAgQIBA/gWq4WM1jLzpU38dkpDSRoAAAQIECJRTQBBZzr6qigABAgQIECBAgEAhBGaHkYcPP1p5oI0wshCts0gCBAgQINCwgN+IbJjMCQQIECBAgAABAgQINFMgCSOHR0bC+KHxsG3mtyOnp6ebObyxCBAgQIAAgZwICCJz0gjLIECAAAECBAgQIBCzQM/GHmFkzBeA2gkQIEAgCgFBZBRtViQBAgQIECBAgACB/AvMDyMnj0zmf9FWSIAAAQIECNQtIIism8qBBAgQIECAAAECBAikLTA7jNyy+fogjExb3PgECBAgQCA7AUFkdtZmIkCAAAECBAgQIECgDoEkjPwf3/9+5UhhZB1gDiFAgAABAgUREEQWpFGWSYAAAQIECBAgQCAmgY7OjrB33/5KycLImDqvVgIECBAos4AgsszdVRsBAgQIECBAgACBAgvMDyN/9NCPClyNpRMgQIAAAQKCSNcAAQIECBAgQIAAAQK5FaiGkatXrw4f3bo1jB0Yy+1aLYwAAQIECBBYXEAQubiPTwkQIECAAAECBAgQaLFAEkbec++9oXtdd+jv6xNGtrgfpidAgAABAssVEEQuV855BAgQIECAAAECBAhkJtDW1hZ2j44KIzMTNxEBAgQIEGi+gCCy+aZGJECAAAECBAgQIEAgBYH5YeRtu25LYRZDEiBAgAABAmkJCCLTkjUuAQIECBAgQIAAAQJNF6iGkVdt2BBGhofD0MBg0+cwIAECBAgQIJCOgCAyHVejEiBAgAABAgQIECCQkkASRt75lS+Hrb29Yc/M17WFkSlBG5YAAQIECDRZYFWTxzMcAQIECBAgQIAAAQIEMhEYGBqszJOEkclWfV154R8CBAgQIEAgdwKCyNy1xIIIECBAgAABAgQIEKhXoBo+JmHksWPHwhf+7oshuWPSRoAAAQIECORPwFez89cTKyJAgAABAgQIECBAoAGBJIy8+Zad4QcPPBC2zXxde3p6uoGzHUqAAAECBAhkJSCIzEraPAQIECBAgAABAgQIpCZww/btYXhkJIwfGhdGpqZsYAIECBAgsDIBQeTK/JxNgAABAgQIECBAgEBOBHo29ggjc9ILyyBAgAABAqcTEESeTsV7BAgQIECAAAECBAgUUmB2GHnl+vVh8shkIeuwaAIECBAgUEYBQWQZu6omAgQIECBAgAABAhELJGHkV/fsqQhs2Xy9MDLia0HpBAgQIJAvAUFkvvphNQQIECBAgAABAgQINEHg8vWXh7379ldGEkY2AdQQBAgQIECgCQKCyCYgGoIAAQIECBAgQIAAgfwJdHR2zAkjJyYm8rdIKyJAgAABAhEJCCIjarZSCRAgQIAAAQIECMQmMDuM/OCm94exA2OxEaiXAAECBAjkRkAQmZtWWAgBAgQIECBAgAABAmkIJGHk/WNjoXtdd+jv6xNGpoFsTAIECBAgUIeAILIOJIcQIECAAAECBAgQIFBsgfb29rB7dFQYWew2Wj0BAgQIFFxAEFnwBlo+AQIECBAgQIAAAQL1CbS1tc0JI/ft3VffiY4iQIAAAQIEmiIgiGwKo0EIECBAgAABAgQIECiCwOwwcueOHWFoYLDuZU9NTQXhZd1cDiRAgAABAqcIrDrlHW8QIECAAAECBAgQIECgxALVMHLX3/7XsGfm69rJNjA0WPm70D/T09PhfX/8J+HkyZNhzZo14fL1ly90qPcJECBAgACBBQQEkQvAeJsAAQIECBAgQIAAgfIKJGFkNXxcKoxMQsgt12+uhJBnnHFG+N73viuILO+loTICBAgQSFHAV7NTxDU0AQIECBAgQIAAAQL5FkjCyK29vZU7I2/65CdDEjrO3pLXWz/yF+Hxxx6rvP3qq6+GvV//xinHzT7HPgECBAgQIHB6AUHk6V28S4AAAQIECBAgQIBAJALVMPLb93w7bJsJJWeHkZ/9zGfCvzzyyCkSB+4/cMp73iBAgAABAgQWFxBELu7jUwIECBAgQIAAAQIEIhBIwsjhkZEwfmi8FkYmD7JJ7n483falf/j7073tPQIECBAgQGARAb8RuQiOjwgQIECAAAECBAgQiEegZ2PPTLEjob+vL/zxu/8o/PznP1+w+KM/Oxomj0yGjs6OBY/xAQECBAgQIDBXwB2Rcz28IkCAAAECBAgQIEAgYoEkjNz2sY8tGkJWef7pa1+r7vpLgAABAgQI1CEgiKwDySEECBAgQIAAAQIECMQhMHZgLOz+8pfrKvbuu+6a83uSdZ3kIAIECBAgELGAIDLi5iudAAECBAgQIECAAIHXBJKvWidfy653e+WVV8JDDz5U7+GOI0CAAAEC0QsIIqO/BAAQIECAAAECBAgQIJCEkO+/7rqGIf7xS19q+BwnECBAgACBWAUEkbF2Xt0ECBAgQIAAAQIECFQEkhDyQx/4QPjlL3/ZsMjhRx8NU1NTDZ/nBAIECBAgEKOAIDLGrquZAAECBAgQIECAAIGKwPT0dPhPf/VX4eTJk+HVV19dlsrX/+nryzrPSQQIECBAIDYBQWRsHVcvAQIECBAgQIAAAQI1gU98vC88/thjtdfL2RndvXs5pzmHAAECBAhEJyCIjK7lCiZAgAABAgQIECBAoCpwyZvfHNra2qovl/U3uasyedq2jQABAgQIEFhcQBC5uI9PCRAgQIAAAQIECBAoscCOm3eEfzn8aLjrnm+Fvv7+8OZLL11Wtd/77neXdZ6TCBAgQIBATAJnzPwOyqI/hHLheeeHp597NiYTtRIgQIAAAQIECBAgELFA8vCZ8UPj4Sf//M/hW3ffHZI7HuvZ/vfDPw7t7e31HOoYAgQIECBQSoGlckRBZCnbrigCBAgQIECAAAECBJolkDxV+4c//EH4zn3fCclTshfabr5lZ7hh+/aFPvY+AQIECBAovYAgsvQtViABAgQIECBAgAABAlkJJHdHPvTgQ5W7Jf+f738/vPjii7Wp3/CGN4T/76eHa6/tECBAgACB2AQEkbF1XL0ECBAgQIAAAQIECGQmkNwteejQofDFL9wefj7189C9rjvsHh1d8QNwMivARAQIECBAoIkCSwWRHlbTRGxDESBAgAABAgQIECAQl0BHZ0fYvGVz+H8ffjgkX81OfltyW29v3b8rGZeWagkQIEAgdgFBZOxXgPoJECBAgAABAgQIEGiKQPL7kMMjI8LIpmgahAABAgTKKCCILGNX1USAAAECBAgQIECAQEsEejb2CCNbIm9SAgQIECiCgCCyCF2yRgIECBAgQIAAAQIECiMwO4y8cv36kPyOpI0AAQIECBAIQRDpKiBAgAABAgQIECBAgECTBZIw8q57vlUZdcvm64WRTfY1HAECBAgUU0AQWcy+WTUBAgQIECBAgAABAjkX6OrqCnv37a+sUhiZ82ZZHgECBAhkIiCIzITZJAQIECBAgAABAgQIxCiQPFV7dhg5MTERI4OaCRAgQIBARUAQ6UIgQIAAAQIECBAgQIBAigKzw8gPbnp/GDswluJshiZAgAABAvkVEETmtzdWRoAAAQIECBAgQIBASQSSMPL+sbHQva479Pf1CSNL0ldlECBAgEBjAoLIxrwcTYAAAQIECBAgQIAAgWUJtLe3h92jo8LIZek5iQABAgTKICCILEMX1UCAAAECBAgQIECAQCEE2tra5oSR+/buK8S6LZIAAQIECDRDQBDZDEVjECBAgAABAgQIECBAoE6B2WHkzh07wtDAYJ1nOowAAQIECBRbQBBZ7P5ZPQECBAgQIECAAAECBRRIwshv3n132NrbG/bMfF1bGFnAJloyAQIECDQssKrhM5xAgAABAgQIECBAgAABAk0RGBgarIyThJHJVn1deeEfAgQIECBQMgFBZMkaqhwCBAgQIECAAAECBIolUA0fkzDy5MmXwtCtt4bkjkkbAQIECBAom4AgsmwdVQ8BAgQIECBAgAABAoUTmB1GHj16tPJAG2Fk4dpowQQIECCwhIDfiFwCyMcECBAgQIAAAQIECBDIQiAJI4dHRsL4ofGwbea3I6enp7OY1hwECBAgQCAzAUFkZtQmIkCAAAECBAgQIECAwOICPRt7hJGLE/mUAAECBAosIIgscPMsnQABAgQIECBAgACB8gnMDyMnj0yWr0gVESBAgECUAoLIKNuuaAIECBAgQIAAAQIE8ixQDSOfffbZsGXz9UEYmeduWRsBAgQI1CsgiKxXynEECBAgQIAAAQIECBDIUCAJI/fu21+ZURiZIbypCBAgQCA1AUFkarQGJkCAAAECBAgQIECAwMoEOjo7hJErI3Q2AQIECORIQBCZo2ZYCgECBAgQIECAAAECBOYLzA8jxw6MzT/EawIECBAgUAgBQWQh2mSRBAgQIECAAAECBAjELFANI1evXh36+/qCMDLmq0HtBAgQKK6AILK4vbNyAgQIECBAgAABAgQiEkjCyHvuvTd0r+sWRkbUd6USIECgTAKCyDJ1Uy0ECBAgQIAAAQIECJRaoK2tLeweHRVGlrrLiiNAgEB5BQSR5e2tyggQIECAAAECBAgQKKHA/DDytl23lbBKJREgQIBAGQUEkWXsqpoIECBAgAABAgQIECi1QDWMvG7TdWFkeDgMDQyWul7FESBAgEA5BFaVowxVECBAgAABAgQIECBAIC6BJIzcdfvt4cwzzwp7Zr6unWwDQ4OVv/4hQIAAAQJ5FBBE5rEr1kSAAAECBAgQIECAAIE6BarhozCyTjCHESBAgEDLBASRLaM3MQECBAgQIECAAAECBJojMDuMPHz40coDbZI7Jm0ECBAgQCBPAn4jMk/dsBYCBAgQIECAAAECBAgsUyAJI2++ZWcYPzQetvX2hunp6WWO5DQCBAgQIJCOgCAyHVejEiBAgAABAgQIECBAIHOBG7ZvD8MjI8LIzOVNSIAAAQL1CAgi61FyDAECBAgQIECAAAECBAoi0LOxZ04YOTU1VZCVWyYBAgQIlF1AEFn2DquPAAECBAgQIECAAIHoBGaHkVf39ITJI5PRGSiYAAECBPInIIjMX0+siAABAgQIECBAgAABAisWSMLIu+75VmWcLZuvF0auWNQABAgQILBSAUHkSgWdT4AAAQIECBAgQIAAgZwKdHV1hb379ldWJ4zMaZMsiwABAhEJCCIjarZSCRAgQIAAAQIECBCIT6Cjs2NOGDkxMREfgooJECBAIBcCgshctMEiCBAgQIAAAQIECBAgkJ7A7DDyg5veH8YOjKU3mZEJECBAgMACAoLIBWC8TYAAAQIECBAgQIAAgTIJJGHk/WNjoXtdd+jv6xNGlqm5aiFAgEBBBASRBWmUZRIgQIAAAQIECBAgQGClAu3t7WH36KgwcqWQzidAgACBZQkIIpfF5iQCBAgQIECAAAECBAgUU6CtrW1OGHnnHXcUsxCrJkCAAIHCCQgiC9cyCyZAgAABAgQIECBAgMDKBGaHkZ/9m8+EoYHBlQ3obAIECBAgUIeAILIOJIcQIECAAAECBAgQIECgbAJJGPnNu+8OW3t7w56Zr2sLI8vWYfUQIEAgfwKr8rckKyJAgAABAgQIECBAgACBrAQGhgYrUyVhZLJVX1de+IcAAQIECDRRQBDZRExDESBAgAABAgQIECBAoIgC1fAxCSNPnnwpDN16a0jumLQRIECAAIFmCggim6lpLAIECBAgQIAAAQIECBRUYHYYefTo0coDbYSRBW2mZRMgQCCnAn4jMqeNsSwCBAgQIECAAAECBAhkLZCEkcMjI2H80HjYNvPbkdPT01kvwXwECBAgUGIBQWSJm6s0AgQIECBAgAABAgQINCrQs7FHGNkomuMJECBAoC4BQWRdTA4iQIAAAQIECBAgQIBAPAKzw8hN114bJo9MxlO8SgkQIEAgNQFBZGq0BiZAgAABAgQIECBAgEBxBaph5IkTJ8KWzdcLI4vbSisnQIBAbgQEkblphYUQIECAAAECBAgQIEAgXwJJGLl33/7KooSR+eqN1RAgQKCIAoLIInbNmgkQIECAAAECBAgQIJCRQEdnhzAyI2vTECBAoOwCgsiyd1h9BAgQIECAAAECBAgQWKHA/DBy7MDYCkd0OgECBAjEKCCIjLHraiZAgAABAgQIECBAgECDAtUw8vzzzw/9fX1hYmKiwREcToAAAQKxCwgiY78C1E+AAAECBAgQIECAAIE6BZIwcvfoaLhu03Xh+IvH6zzLYQQIECBA4FcCq0AQIECAAAECBAgQIECAAIF6Bdra2sKu22+v93DHESBAgACBmoA7ImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgQIEKgJCCJrFHYIECBAgAABAgQIECBAgAABAgQIEEhLQBCZlqxxCRAgQIAAAQIECBAgQIAAAQIECBCoCQgiaxR2CBAgQIAAAQIECBAgQIAAAQIECBBIS0AQmZascQkQIECAAAECBAgQIECAAAECBAgQqAkIImsUdggQIECAAAECBAgQIECAAAECBAgQSEtAEJmWrHEJECBAgAABAgQIECBAgAABAgT+//btGCWiIAqiKMIsRJn9r1FF8EYD09BUdkwspP8LTnhBAgQSECKjMAgQIECAAAECBAgQIECAAAECBAgQWAkIkStZdwkQIECAAAECBAgQIECAAAECBAgQSECIjMIgQIAAAQIECBAgQIAAAQIECBAgQGAlIESuZN0lQIAAAQIECBAgQIAAAQIECBAgQCABITIKgwABAgQIECBAgAABAgQIECBAgACBlYAQuZJ1lwABAgQIECBAgAABAgQIECBAgACBBITIKAwCBAgQIECAAAECBAgQIECAAAECBFYCQuRK1l0CBAgQIECAAAECBAgQIECAAAECBBIQIqMwCBAgQIAAAQIECBAgQIAAAQIECBBYCQiRK1l3CRAgQIAAAQIECBAgQIAAAQIECBBIQIiMwiBAgAABAgQIECBAgAABAgQIECBAYCUgRK5k3SVAgAABAgQIECBAgAABAgQIECBAIAEhMgqDAAECBAgQIECAAAECBAgQIECAAIGVgBC5knWXAAECBAgQIECAAAECBAgQIECAAIEEhMgoDAIECBAgQIAAAQIECBAgQIAAAQIEVgJC5ErWXQIECBAgQIAAAQIECBAgQIAAAQIEEhAiozAIECBAgAABAgQIECBAgAABAgQIEFgJCJErWXcJECBAgAABAgQIECBAgAABAgQIEEhAiIzCIECAAAECBAgQIECAAAECBAgQIEBgJSBErmTdJUCAAAECBAgQIECAAAECBAgQIEAgASEyCoMAAQIECBAgQIAAAQIECBAgQIAAgZWAELmSdZcAAQIECBAgQIAAAQIECBAgQIAAgQSEyCgMAgQIECBAgAABAgQIECBAgAABAgRWAkLkStZdAgQIECBAgAABAgQIECBAgAABAgQSECKjMAgQIECAAAECBAgQIECAAAECBAgQWAkIkStZdwkQIECAAAECBAgQIECAAAECBAgQSECIjMIgQIAAAQIECBAgQIAAAQIECBAgQGAlIESuZN0lQIAAAQIECBAgQIAAAQIECBAgQCABITIKgwABAgQIECBAgAABAgQIECBAgACBlYAQuZJ1lwABAgQIECBAgAABAgQIECBAgACBBITIKAwCBAgQIECAAAECBAgQIECAAAECBFYCQuRK1l0CBAgQIECAAAECBAgQIECAAAECBBIQIqMwCBAgQIAAAQIECBAgQIAAAQIECBBYCQiRK1l3CRAgQIAAAQIECBAgQIAAAQIECBBIQIiMwiBAgAABAgQIECBAgAABAgQIECBAYCUgRK5k3SVAgAABAgQIECBAgAABAgQIECBAIAEhMgqDAAECBAgQIECAAAECBAgQIECAAIGVgBC5knWXAAECBAgQIECAAAECBAgQIECAAIEEhMgoDAIECBAgQIAAAQIECBAgQIAAAQIEVgJC5ErWXQIECBAgQIAAAQIECBAgQIAAAQIEEhAiozAIECBAgAABAgQIECBAgAABAgQIEFgJCJErWXcJECBAgAABAgQIECBAgAABAgQIEEhAiIzCIECAAAECBAgQIECAAAECBAgQIEBgJSBErmTdJUCAAAECBAgQIECAAAECBAgQIEAggUfrxXh+fv399f/3iyf+RIAAAQIECBAgQIAAAQIECBAgQIAAgbcCH9+/P29feUCAAAECBAgQIECAAAECBAgQIECAAIELAf+afYHnUwIECBAgQIAAAQIECBAgQIAAAQIEzgSEyDMnrwgQIECAAAECBAgQIECAAAECBAgQuBAQIi/wfEqAAAECBAgQIECAAAECBAgQIECAwJmAEHnm5BUBAgQIECBAgAABAgQIECBAgAABAhcCQuQFnk8JECBAgAABAgQIECBAgAABAgQIEDgTECLPnLwiQIAAAQIECBAgQIAAAQIECBAgQOBCQIi8wPMpAQIECBAgQIAAAQIECBAgQIAAAQJnAkLkmZNXBAgQIECAAAECBAgQIECAAAECBAhcCAiRF3g+JUCAAAECBAgQIECAAAECBAgQIEDgTOAH/rR2ON0g/wsAAAAASUVORK5CYII=" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><img 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" alt></p>
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" alt></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>