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</div><h2>SL Paper 3</h2><div class="specification">
<p>Observer A detects the creation (event 1) and decay (event 2) of a nuclear particle. After creation, the particle moves at a constant speed relative to A. As measured by A, the distance between the events is 15 m and the time between the events is 9.0 × 10<sup>–8</sup> s.</p>
<p>Observer B moves with the particle.</p>
<p>For event 1 and event 2,</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by the statement that the spacetime interval is an invariant quantity.</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>calculate the spacetime interval.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>determine the time between them according to observer B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the observed times are different for A and B.</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>quantity that is the same/constant in all inertial frames</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>spacetime interval = 27<sup>2</sup> – 15<sup>2</sup> = 504 <strong>«</strong>m<sup>2</sup><strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p>Evidence of <em>x</em>′ = 0</p>
<p><em>t</em>′ <strong>«</strong><span class="Apple-converted-space">\(\frac{{\sqrt {504} }}{c}\)</span><strong>»</strong> = 7.5 × 10<sup>–8</sup> <strong>«</strong>s<strong>»</strong></p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p><em>γ</em> = 1.2</p>
<p><em>t</em>′ <strong>«</strong><span class="Apple-converted-space">= \(\frac{{9 \times {{10}^{ - 8}}}}{{1.2}}\)<strong>»</strong> = 7.5 × 10<sup>–8</sup> <strong>«</strong>s<strong>»</strong></span></p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>observer B measures the proper time and this is the shortest time measured</p>
<p><strong><em>OR</em></strong></p>
<p>time dilation occurs <strong>«</strong>for B's journey<strong>» </strong>according to A</p>
<p><strong><em>OR</em></strong></p>
<p>observer B is stationary relative to the particle, observer A is not</p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Rocket A and rocket B are travelling in opposite directions from the Earth along the same straight line.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_16.33.49.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/03"></p>
<p>In the reference frame of the Earth, the speed of rocket A is 0.75<em>c </em>and the speed of rocket B is 0.50<em>c</em>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, for the reference frame of rocket A, the speed of rocket B according to the Galilean transformation.</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>Calculate, for the reference frame of rocket A, the speed of rocket B according to the Lorentz transformation.</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>Outline, with reference to special relativity, which of your calculations in (a) is more likely to be valid.</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>1.25<em>c</em></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><strong><em>ALTERNATIVE 1</em></strong></p>
<p>\(u' = \frac{{(0.50 + 0.75)}}{{1 + 0.5 \times 0.75}}c\)</p>
<p>0.91<em>c</em></p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>\(u' = \frac{{ - 0.50 - 0.75}}{{1 - ( - 0.5 \times 0.75)}}c\)</p>
<p>–0.91<em>c</em></p>
<p> </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>nothing can travel faster than the speed of light (therefore (a)(ii) is the valid answer)</p>
<p> </p>
<p><em>OWTTE</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>The diagram shows the motion of the electrons in a metal wire carrying an electric current as seen by an observer X at rest with respect to the wire. The distance between adjacent positive charges is <em>d</em>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.22.52.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/03"></p>
</div>
<div class="specification">
<p>Observer Y is at rest with respect to the electrons.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether the field around the wire according to observer X is electric, magnetic or a combination of both.</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>Discuss the change in <em>d </em>according to observer Y.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce whether the overall field around the wire is electric, magnetic or a combination of both according to observer Y.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>magnetic field</p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>according to Y<strong>» </strong>the positive charges are moving <strong>«</strong>to the right<strong>»</strong></p>
<p><em>d decreases</em></p>
<p> </p>
<p><em>For MP1, movement of positive charges must be mentioned explicitly.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>positive charges are moving, so there is a magnetic field</p>
<p>the density of positive charges is higher than that of negative charges, so there is an electric field</p>
<p> </p>
<p><em>The reason must be given for each point to be awarded.</em></p>
<p><strong><em>[2 marks]</em></strong></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;">
[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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Identical twins, A and B, are initially on Earth. Twin A remains on Earth while twin B leaves the Earth at a speed of 0.6<em>c</em> for a return journey to a point three light years from Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the time taken for the journey in the reference frame of twin A as measured on Earth.</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>Determine the time taken for the journey in the reference frame of twin B.</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>Draw, for the reference frame of twin A, a spacetime diagram that represents the worldlines for both twins.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest how the twin paradox arises and how it is resolved.</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>«0.6 <em>ct</em> = 6 ly» so <em>t</em> = 10 «years»</p>
<p> <em>Accept: If the 6 ly are considered to be measured from B, then the answer is 12.5 years.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>10<sup>2 </sup>− 6<sup>2 </sup>= <em>t</em><sup>2 </sup>− 0<sup>2</sup></p>
<p>so <em>t</em> is 8 «years»<em><br>Accept: If the 6 ly are considered to be measured from B, then the answer is 10 years.</em></p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>gamma is \(\frac{5}{4}\)</p>
<p>10 × \(\frac{4}{5}\) = 8 «years»</p>
<p><em>Allow ECF from a<br>Allow ECF for incorrect γ in mp1<br></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>three world lines as shown</p>
<p><img src="data:image/png;base64,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"></p>
<p><em>Award mark only if axes <strong>OR</strong> world lines are labelled.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>according to both twins, it is the other one who is moving fast therefore clock should run slow</p>
<p><em>Allow explanation in terms of spacetime diagram.</em></p>
<p>«it is not considered a paradox as» twin B is not always in the same inertial frame of reference</p>
<p><em><strong>OR</strong></em></p>
<p>twin B is actually accelerating «and decelerating»</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Muons are created in the upper atmosphere of the Earth at an altitude of 10 km above the surface. The muons travel vertically down at a speed of 0.995<em>c </em>with respect to the Earth. When measured at rest the average lifetime of the muons is 2.1 μs.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, according to Galilean relativity, the time taken for a muon to travel to the ground.</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>Deduce why only a small fraction of the total number of muons created is expected to be detected at ground level according to Galilean relativity.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, according to the theory of special relativity, the time taken for a muon to reach the ground in the reference frame of the muon.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Discuss how your result in (b)(i) and the outcome of the muon decay experiment support the theory of special relativity.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>\(\frac{{{{10}^4}}}{{0.995 \times 3 \times {{10}^8}}} = \)<strong>»</strong> 34 <strong>«</strong><em>μ</em>s<strong>»</strong></p>
<p> </p>
<p><em>Do not accept 10</em><sup><em>4</em></sup><em>/c = 33 μ</em><em>s</em><em>.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>time is much longer than 10 times the average life time <strong>«</strong>so only a small proportion would not decay<strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma = 10\)</p>
<p>\(\Delta {t_0} = \) <strong>«</strong>\(\frac{{\Delta t}}{\gamma } = \frac{{34}}{{10}} = \)<strong>»</strong> 3.4<strong> «</strong><em>μs</em><strong>»</strong></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the value found in (b)(i) is of similar magnitude to average life time</p>
<p>significant number of muons are observed on the ground</p>
<p><strong>«</strong>therefore this supports the special theory<strong>»</strong></p>
<p><em><strong>[2 marks]</strong></em></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;">
[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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about simultaneity.</p>
<p class="p1">Daniela is standing in the middle of a train that is moving at a constant velocity relative to Jaime, who is standing on the platform. At the moment the train passes Jaime, two beams of light, X and Y, are emitted simultaneously from a device held by Daniela. Both beams are reflected by mirrors at the end of the train and then return to Daniela.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_16.30.41.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/11"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State and explain the order of arrival of X and Y at the mirrors according to Jaime.</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">Outline whether the return of X and Y to Daniela are simultaneous according to Jaime.</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 class="p1">beam X will reach the mirror first;</p>
<p class="p1">the speed of light of each beam is constant for all inertial observers;</p>
<p class="p1">the left mirror moves towards the beam X while the right mirror moves away from the beam Y;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the beams returning to Daniela occur at one point in space;</p>
<p class="p1">if this is simultaneous to Daniela, the event will also be simultaneous to Jaime;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">beam X has less to go to the mirror and then longer to Daniela, whilst beam Y has longer to the mirror and less to Daniela;</p>
<p class="p1">the sum of the times are the same because Daniela is in the middle so they arrive at the same time;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Usually candidates gave acceptable answers to (a) but forgot that the speed of light must be constant for their statements to be true.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Very few answered (b) well.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A long current-carrying wire is at rest in the reference frame S of the laboratory. A positively charged particle P outside the wire moves with velocity <em>v</em> relative to S. The electrons making up the current in the wire move with the same velocity<em> v</em> relative to S.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a reference frame.</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>State and explain whether the force experienced by P is magnetic, electric or both, in reference frame S.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain whether the force experienced by P is magnetic, electric or both, in the rest frame of P.</p>
<div class="marks">[3]</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>a set of coordinate axes and clocks used to measure the position «in space/time of an object at a particular time»<br><em><strong>OR</strong></em><br>a coordinate system to measure x,y,z, and t / OWTTE</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>magnetic only</p>
<p>there is a current but no «net» charge «in the wire»</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electric only</p>
<p>P is <strong>stationary</strong> so experiences no magnetic force</p>
<p>relativistic contraction will increase the density of protons in the wire</p>
<p><em><strong>[3 marks]</strong></em></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;">
[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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a Galilean transformation and time dilation.</p>
<p class="p1">Ben is in a spaceship that is travelling in a straight-line with constant speed \(v\) as measured by Jill who is in a space station.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_13.51.29.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/D1"></p>
<p class="p1">Ben switches on a light pulse that bounces vertically (as observed by Ben) between two horizontal mirrors \({{\text{M}}_{\text{1}}}\) and \({{\text{M}}_{\text{2}}}\) separated by a distance \(d\). At the instant that the mirrors are opposite Jill, the pulse is just leaving the mirror \({{\text{M}}_{\text{2}}}\). The speed of light in air is \(c\).</p>
</div>
<div class="specification">
<p class="p1">The time for the light pulse to travel from \({{\text{M}}_{\text{2}}}\) to \({{\text{M}}_{\text{1}}}\) as measured by Jill is \(\Delta t\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, sketch the path of the light pulse between \({{\text{M}}_{\text{1}}}\) and \({{\text{M}}_{\text{2}}}\) as observed by Jill.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_17.16.38.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/D1.a"></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>State, according to Jill, the distance moved by the spaceship in time \(\Delta t\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Using a Galilean transformation, derive an expression for the length of the path of the light between \({{\text{M}}_{\text{2}}}\) and \({{\text{M}}_{\text{1}}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State, according to special relativity, the length of the path of the light between \({{\text{M}}_{\text{1}}}\) and \({{\text{M}}_{\text{1}}}\) as measured by Jill in terms of \(c\) and \(\Delta t\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The time for the pulse to travel from \({{\text{M}}_{\text{2}}}\) to \({{\text{M}}_{\text{1}}}\) as measured by Ben is \(\Delta t'\). Use your answer to (b)(i) and (c) to derive a relationship between <span class="s3">\(\Delta t\) </span>and \(\Delta t'\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">According to a clock at rest with respect to Jill, a clock in the spaceship runs slow by a factor of 2.3. Show that the speed \(v\)<em> </em>of the spaceship is 0.90c.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">any diagonal line as shown;</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-10_om_17.18.26.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/D1.a/M"></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(v\Delta t\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>speed of pulse \({({c^2} + {v^2})^{\frac{1}{2}}}\);</p>
<p class="p1">distance \( = {({c^2} + {v^2})^{\frac{1}{2}}}\Delta t\);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(c\Delta t\);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(d = c\Delta t'\);</p>
<p class="p1">from Pythagoras \({d^2} = {c^2}\Delta {t'^2} = {c^2}\Delta {t^2} - {v^2}\Delta {t^2}\);</p>
<p class="p1">\(\Delta t = \frac{{\Delta t'}}{{\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }}\);</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">recognize that \(2.3 = \frac{1}{{\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }}\);</p>
<p class="p1">some evidence of rearranging <em>e.g.</em> \(v = \sqrt {\frac{{{{[2.3]}^2} - 1}}{{{{[2.3]}^2}}}} \);</p>
<p class="p1">\( = 0.90{\text{c}}\)</p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most candidates were able to draw the correct path of the light.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Parts (b), (c) and (d) effectively dealt with the derivation of the time dilation formula and here many candidates had problems often relying on guesswork and half-remembered proofs rather than follow the logical development of the questions. The calculation was often done well but with the usual confusion between the times.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Parts (b), (c) and (d) effectively dealt with the derivation of the time dilation formula and here many candidates had problems often relying on guesswork and half-remembered proofs rather than follow the logical development of the questions. The calculation was often done well but with the usual confusion between the times.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Parts (b), (c) and (d) effectively dealt with the derivation of the time dilation formula and here many candidates had problems often relying on guesswork and half-remembered proofs rather than follow the logical development of the questions. The calculation was often done well but with the usual confusion between the times.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about relativistic kinematics.</p>
</div>
<div class="specification">
<p class="p1">A spacecraft is flying in a straight line above a base station at a speed of 0.8<em>c</em>.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_10.29.59.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/12.b"></p>
<p class="p1">Suzanne is inside the spacecraft and Juan is on the base station.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
[N/A]
<div class="marks">[[N/A]]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
[N/A]
<div class="marks">[[N/A]]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">While moving away from the base station, Suzanne observes another spacecraft travelling towards her at a speed of 0.8<em>c</em>. Using Galilean transformations, calculate the relative speed of the two spacecraft.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using the postulates of special relativity, state and explain why Galilean transformations cannot be used in this case to find the relative speeds of the two spacecraft.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using relativistic kinematics, the relative speeds of the two spacecraft is shown to be 0.976<em>c</em>. Suzanne measures the other spacecraft to have a length of 8.00 m. Calculate the proper length of the other spacecraft.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suzanne’s spacecraft is on a journey to a star. According to Juan, the distance from the base station to the star is 11.4 ly. Show that Suzanne measures the time taken for her to travel from the base station to the star to be about 9 years.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
[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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">1.6<em>c</em>;</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(one of the) postulates states that the speed of light in a vacuum is the same for all inertial observers;</p>
<p class="p1">Galilean transformation will give a relative speed greater than the speed of light;</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma = \frac{1}{{\sqrt {1 - {{0.976}^2}} }}{\text{ }}( = 4.59)\);</p>
<p>\({l_0} = (4.56 \times 8.00 = ){\text{ 36.7 (m)}}\);</p>
<p><strong><em>Note</em></strong><em>: the final answer for SP3 is different to the HP3.</em></p>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(t = \frac{s}{v} = \frac{{11.4}}{{0.8}} = 14.25{\text{ (years)}}\);</p>
<p class="p1">\(\Delta {t_0} = \frac{{\Delta t}}{\gamma } = \frac{{14.25}}{{1.67}} = 8.6{\text{ (years)}}\);</p>
<p class="p1"><em>Allow ECF from (b).</em></p>
<p class="p1"><em>Accept length contraction with the same result.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Only HL Questions 12(a), (b)(i) and (c) were common with SL questions 12(a), (b)(i) and (c). Many did not address “frame of reference”, only explaining “inertial”. Most could identify the postulate relevant to Galilean transformations but few could earn full marks. The calculation was well done by those who attempted the question.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p>Muons are unstable particles with a proper lifetime of 2.2 μs. Muons are produced 2.0 km above ground and move downwards at a speed of 0.98<em>c</em> relative to the ground. For this speed \(\gamma \) = 5.0. Discuss, with suitable calculations, how this experiment provides evidence for time dilation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><em><strong>ALTERNATIVE 1</strong> — for answers in terms of time</em><br>overall idea that more muons are detected at the ground than expected «without time dilation»</p>
<p>«Earth frame transit time = \(\frac{{2000}}{{0.98c}}\)» = 6.8 «μs»</p>
<p>«Earth frame dilation of proper half-life = 2.2 μs x 5» = 11 «μs»<br><em><strong>OR</strong></em><br>«muon’s proper transit time = \(\frac{{6.8\mu s}}{5}\)» = 1.4 «μs»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em> <em>– for answers in terms of distance</em><br>overall idea that more muons are detected at the ground than expected «without time dilation»</p>
<p>«distance muons can travel in a proper lifetime = 2.2 μs x 0.98<em>c</em>» = 650 «m»</p>
<p>«Earth frame lifetime distance due to time dilation = 650 m x 5» = 3250 «m»<br><em><strong>OR</strong></em><br>«muon frame distance travelled = \(\frac{{2000}}{5}\)» = 400 «m»</p>
<p> </p>
<p><em>Accept answers from <strong>one</strong> of the alternatives.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>An electron is emitted from a nucleus with a speed of 0.975<em>c</em> as observed in a laboratory. The electron is detected at a distance of 0.800m from the emitting nucleus as measured in the laboratory.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the reference frame of the electron, calculate the distance travelled by the detector.</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>For the reference frame of the laboratory, calculate the time taken for the electron to reach the detector after its emission from the nucleus.</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>For the reference frame of the electron, calculate the time between its emission at the nucleus and its detection.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the answer to (c) represents a proper time interval.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>γ</em>=4.503</p>
<p>\( \ll \frac{{0.800}}{{4.50}} = \gg 0.178{\rm{m}}\)</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\rm{time}} = \frac{{0.800}}{{2.94 \times {{10}^8}}}\)</p>
<p>2.74 ns</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{2.74}}{{4.5}}\) <em><strong>OR</strong></em> \(\frac{{0.178}}{{2.94 \times {{10}^8}}}\)</p>
<p>0.608 ns</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>it is measured in the frame of reference in which both events occur at the same position<br><em><strong>OR</strong></em><br>it is the shortest time interval possible</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define<em> proper length.</em></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A charged pion decays spontaneously in a time of 26 ns as measured in the frame of reference in which it is stationary. The pion moves with a velocity of 0.96<em>c</em> relative to the Earth. Calculate the pion’s lifetime as measured by an observer on the Earth.</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 the pion reference frame, the Earth moves a distance X before the pion decays. In the Earth reference frame, the pion moves a distance Y before the pion decays. Demonstrate, with calculations, how length contraction applies to this situation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the length of an object in its rest frame</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{1}{{\sqrt {\left( {1 - {{0.96}^2}} \right)} }}\) <em><strong>OR </strong></em>\(\gamma = 3.6\)<br><em>ECF for wrong </em>\(\gamma\)</p>
<p>93 «ns»<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«X is» 7.5 «m» in frame on pion</p>
<p>«Y is» 26.8 «m» in frame on Earth </p>
<p>identifies proper length as the Earth measurement<br><em><strong>OR<br></strong></em>identifies Earth distance according to pion as contracted length<br><em><strong>OR<br></strong></em>a statement explaining that one of the length is shorter than the other one</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p>Outline the conclusion from Maxwell’s work on electromagnetism that led to one of the postulates of special relativity.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>light is an EM wave</p>
<p>speed of light is independent of the source/observer</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>One of the postulates of special relativity states that the laws of physics are the same in all inertial frames of reference.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by inertial in this context.</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>An observer is travelling at velocity <em>v</em> towards a light source. Determine the value the observer would measure for the speed of light emitted by the source according to</p>
<p>(i) Maxwell’s theory.</p>
<p>(ii) Galilean transformation.</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>not being accelerated<br><em><strong>OR</strong></em><br>not subject to an unbalanced force<br><em><strong>OR</strong></em><br>where Newton’s laws apply</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>c</em></p>
<p>(ii) <em>c</em>+<em>v</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 class="p1">This question is about relativistic kinematics.</p>
<p class="p1">The diagram shows a spaceship as it moves past Earth on its way to a planet P. The planet is at rest relative to Earth.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.50.39.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/10"></p>
<p class="p1">The distance between the Earth and planet P is 12 ly as measured by observers on Earth. The spaceship moves with speed 0.60c relative to Earth.</p>
<p class="p1">Consider two events:</p>
<p class="p1"> Event 1: when the spaceship is above Earth</p>
<p class="p1"> Event 2: when the spaceship is above planet P</p>
<p class="p1">Judy is in the spaceship and Peter is at rest on Earth.</p>
</div>
<div class="specification">
<p class="p1">Judy considers herself to be at rest. According to Judy, the Earth and planet P are moving to the left.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the reason why the time interval between event 1 and event 2 is a proper time interval as measured by Judy.</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 class="p1">(i) Calculate the time interval between event 1 and event 2 according to Peter.</p>
<p class="p1">(ii) Calculate the time interval between event 1 and event 2 according to Judy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate, according to Judy, the distance separating the Earth and planet P.</p>
<p class="p1">(ii) Using your answers to (b)(ii) and (c)(i), determine the speed of planet P relative to the spaceship.</p>
<p class="p1">(iii) Comment on your answer to (c)(ii).</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 class="p1">Determine, according to Judy in the spaceship, which signal is emitted first.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">because the events occur at the same place/point in space for this observer;</p>
<p class="p1"><em>Do not allow “events within the same reference frame”.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(t = \left( {\frac{{12}}{{0.60{\text{c}}}} = } \right){\text{ 20(yr)}}\);</p>
<p>(ii) \(\gamma = \left( {\frac{1}{{\sqrt {1 - {{0.60}^2}} }} = } \right){\text{ 1.25}}\); <em>(allow implicit value)</em></p>
<p>\({t_{{\text{rocket}}}} = \left( {\frac{{20 {\text{yr}}}}{\gamma } = } \right){\text{ 16(yr)}}\); (<em>allow ECF)</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(L = \left( {\frac{{12{\text{ly}}}}{\gamma } = } \right){\text{ 9.6(ly)}}\); <em>(allow ECF from (b)(ii))</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(v = \left( {\frac{{9.6{\text{ly}}}}{{16{\text{y}}}} = } \right){\text{ 0.60c}}\); <em>(allow ECF from (b)(ii) and (c)(i))</em></p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>(by principle of relativity this should be the) same as the speed of the spaceship relative to Earth;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">both signals travel at the same speed c;</p>
<p class="p1">Judy must agree that the signals arrive at S simultaneously / <em>OWTTE</em>;</p>
<p class="p1">for Judy, observer S moves away from the signal traveling from P/towards the signal traveling from Earth;</p>
<p class="p1">for Judy the signal from P has further to travel to reach S – so was emitted first;</p>
<p class="p1"><em>Do not accept explanations based on Judy approaching P or seeing/receiving the signal from P first as this is irrelevant.</em></p>
<p class="p1"><em>Award </em><strong><em>[0] </em></strong><em>for a bald correct answer. </em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a light clock.</p>
</div>
<div class="question">
<p class="p1">One of the postulates of special relativity refers to the speed of light. State the other postulate of special relativity.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">the laws of physics are the same for all inertial observers;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">(a) was well answered.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An observer at rest relative to Earth observes two spaceships. Each spaceship is moving with a speed of 0.85 <em>c</em> but in opposite directions. The observer measures the rate of increase of distance between the spaceships to be 1.7 <em>c</em>. Outline whether this observation contravenes the theory of special relativity.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The observer on Earth in (a) watches one spaceship as it travels to a distant star at a speed of 0.85 <em>c</em>. According to observers on the spaceship, this journey takes 8.0 years.</p>
<p>(i) Calculate, according to the observer on Earth, the time taken for the journey to the star.</p>
<p>(ii) Calculate, according to the observer on Earth, the distance from Earth to the star.</p>
<p>(iii) At the instant when the spaceship passes the star, the observer on the spaceship sends a radio message to Earth. The spaceship continues to move at a speed of 0.85 <em>c</em>. Determine, according to the spaceship observer, the time taken for the message to arrive on Earth.</p>
<div class="marks">[8]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">theory suggests that no object can travel faster than light;<br>the 1.7</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">c </span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">is not the speed of a physical object;<br>so is not in violation of the theory; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
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<p><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">(i) <em>y</em> \( = \) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">1.90;<br>interval on Earth<span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span><em>y</em>\( \times \)</span><span style="font-size: 11.000000pt; font-family: 'Arial';">interval on spaceship; <br>(interval on Earth 1.90</span>\( \times \)<span style="font-size: 11.000000pt; font-family: 'Arial';">8 years<span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span></span><span style="font-size: 11.000000pt; font-family: 'Arial';">)15 years;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[3] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer.</span></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) observer on Earth thinks spaceship has travelled for 15 years;<br>so distance is 0.85</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">c</span></em><span style="font-size: 11pt; font-family: 'Arial,Italic';">\( \times \)</span><span style="font-size: 11.000000pt; font-family: 'Arial';">15</span><span style="font-size: 11.000000pt; font-family: 'Arial';"><span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span>12.8</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">≈</span><span style="font-size: 11.000000pt; font-family: 'Arial';">13ly;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer</span></em></p>
<p><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or</span></strong></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">the spaceship observer observes the distance moved by the Earth<span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span></span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.85</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">c</span></em><span style="font-size: 11.000000pt; font-family: 'SymbolMT';"><span style="font-size: 11.000000pt; font-family: 'Arial';">×</span></span><span style="font-size: 11.000000pt; font-family: 'Arial';">8.0 yr;<br> proper distance</span><span style="font-size: 11.000000pt; font-family: 'Arial';"><span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span>1.90</span>\( \times \)<span style="font-size: 11.000000pt; font-family: 'Arial';">0.85</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">c</span></em>\( \times \)<span style="font-size: 11.000000pt; font-family: 'Arial';">8.0yr<span style="font-size: 12.000000pt; font-family: 'SymbolMT';"> \( = \) </span></span><span style="font-size: 11.000000pt; font-family: 'Arial';">12.9</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">≈</span><span style="font-size: 11.000000pt; font-family: 'Arial';">13ly ;<br> </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer</span></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(iii)<em> </em></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">(take time for message to arrive at Earth in spaceship frame to be T)<br></span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">distance moved by Earth in spaceship frame before message arrives </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRoman';">= </span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.85</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">cT</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br>distance of Earth from spaceship when message sent</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRoman';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.85</span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">c</span></em>\( \times \)<span style="font-size: 11.000000pt; font-family: 'Arial';">8.0</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRoman';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">6.8(ly);</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">\(\left( {cT = 0.85cT + 6.8} \right){\text{so }}T = \frac{{6.8}}{{0.15}} = 45.3{\text{ years}}\)</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>
<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>
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<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> prediction of Maxwell’s theory of electromagnetism that is consistent with special relativity.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A current is established in a long straight wire that is at rest in a laboratory.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>A proton is at rest relative to the laboratory and the wire.</p>
<p>Observer X is at rest in the laboratory. Observer Y moves to the right with constant speed relative to the laboratory. Compare and contrast how observer X and observer Y account for any non-gravitational forces on the proton.</p>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the speed of light is a universal constant/invariant<br><em><strong>OR</strong></em><br><em>c</em> does not depend on velocity of source/observer</p>
<p>electric and magnetic fields/forces unified/frame of reference dependant</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>observer X will measure zero «magnetic or electric» force</p>
<p>observer Y must measure both electric and magnetic forces</p>
<p>which must be equal and opposite so that observer Y also measures zero force</p>
<p> </p>
<p><em>Allow <strong>[2 max]</strong> for a comment that both X and Y measure zero resultant force even if no valid explanation is given.</em></p>
<p><strong><em>[3 marks]</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.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
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<br><hr><br><div class="question">
<p>Two protons are moving with the same velocity in a particle accelerator.<br><img 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" alt><br>Observer X is at rest relative to the accelerator. Observer Y is at rest relative to the protons.</p>
<p>Explain the nature of the force between the protons as observed by observer X <strong>and</strong> observer Y.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>Y measures electrostatic <span style="text-decoration: underline;">repulsion</span> only<br>protons are moving relative to X «but not Y» <em><strong>OR</strong></em> protons are stationary relative to Y<br>moving protons create magnetic fields around them according to X<br>X also measures an <span style="text-decoration: underline;">attractive</span> magnetic force <em><strong>OR</strong></em> relativistic/Lorentz effects also present</p>
</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 simultaneity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the postulate of special relativity that is related to the speed of light.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A rocket moving at a relativistic speed passes an observer who is at rest on the ground equidistant from two trees L and R. At the moment that an observer in the rocket is opposite the ground observer, lightning strikes L and R at the same time according to the<br>ground observer. Light from the strikes reaches the observer in the rocket as well as the observer on the ground.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">(i) Explain why, according to the observer in the rocket, light from the two strikes will reach the ground observer at the same time.</p>
<p style="text-align: left;">(ii) Using your answer to (a) and (b)(i), outline why, according to the rocket observer, tree R was hit by lightning before tree L.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the speed of light in a <span style="text-decoration: underline;">vacuum</span> is the same for all inertial observers/observers in uniform motion;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) ground observer measures a zero proper time interval for the two arrivals;<br>all other observers measure a time interval of <em>γ</em>×0=0;<br>hence the arrivals are simultaneous for all observers, including rocket <br><em>Award <strong>[1]</strong> for statement that “events that are simultaneous for one observer</em><br><em>and occur at the same place are simultaneous for all observers”.</em></p>
<p>(ii) according to the rocket observer, the ground observer moves towards the signal from tree L and away from the signal from tree R;<br>since the signals move at the same speed and they arrive at the same time according to the rocket observer;<br>signal from tree R must have been emitted first</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<div class="question_part_label">a.</div>
</div>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>A train is passing through a tunnel of proper length 80 m. The proper length of the train is 100 m. According to an observer at rest relative to the tunnel, when the front of the train coincides with one end of the tunnel, the rear of the train coincides with the other end of the tunnel.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by proper length.</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>Draw a spacetime diagram for this situation according to an observer at rest relative to the tunnel.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the velocity of the train, according to an observer at rest relative to the tunnel, at which the train fits the tunnel.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For an observer on the train, it is the tunnel that is moving and therefore will appear length contracted. This seems to contradict the observation made by the observer at rest to the tunnel, creating a paradox. Explain how this paradox is resolved. You may refer to your spacetime diagram in (b).</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>the length of an object in its rest frame</p>
<p><em><strong>OR</strong></em></p>
<p>the length of an object measured when at rest relative to the observer</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>world lines for front and back of tunnel parallel to <em>ct</em> axis</p>
<p>world lines for front and back of train</p>
<p>which are parallel to <em>ct′</em> axis</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASwAAAECCAYAAABE2+ozAAAgAElEQVR4Ae1dC5QV1ZU9ssYP0mIWxFGBNOrAQkWFONoqOHzVJihOC/IzmDQIjIjpdJNE6UYNI6GbZExrmt8aMeoSRXQNnxBlYUAEBI2a8FFnohLFEPAzsTWDiIkk3bN24X28fq/qvfrcqrqn6tRarPde1f2cu8/l9Kl7z9n3mNbW1laSSxAQBAQBBgi0YyCjiCgICAKCgIWAGCyZCIKAIMAGATFYbFQVlaAtdHD3s7R00x5qUV22vEkPX9uLzpm1iQ6oe/IpCMSAgBisGEA3ussDW6jh2h/SG3QSZSbHwfdp926inj1PpxKjhRfhko5AZk4mfaAyPncItHz4Lr32WXfq2fWoabLu0TCadNWZR42Yi+Y+//xzwj+5BAFdCIjB0oUkm3a+oA+2P0azhvWi0tJuVHrOTdT0ygfUQi10YNNd1HvoHbSTNtNdQ6+gWZs+IqIWOrj/Hdo78joa0uU416PctWsXXXppGa1YscJ1HSkoCBRDIDKDhQksV9wIfEHvrf4BDa57ky6e/wrt3fsOvbz4TFr7rQZa897fqOOgKlp84xnU4cZH6fW9W2nuoK8SUTvqOOhu2jl3EHV0IT48qvnz59PIkRX0ySefUEnJUU/NRXUpIggURCASg7Vp03M0YsTVtBsLIXLFh8CBF2hh7V6aWj+DKnrC/BxHpw0YTeN6PkcP/moPtbQ007uvHfC9VrV//34aP34cLVgwnw4fPhzfOKXnxCIQusHCX9yammoLwCVLliQWSPMH1kIHtm+klT3/la7p+5Wj4rbrRZVrXqU1lb2onbW43pHOP6Ozp7UqNPb000/TZZddQtu3/5Y+//zQ0fblmyCgEYHQDRbWMJqbmy2R16z5BX388ccaxZem3CPwMW1fv5Ho/DPoVAet2y24F2sff5BuuWUaVVV9x7Zo7969be/LTUHADwIOU9dPU/l1YJzmzWvIPDh06DNasGBB5rd8MQmBI4vruzv8E51xqvvF9csv70dPPfVLOnz4C5MGI7IkFIFQDdb99/8nHTjwf22ge+CB+8XLaoNInD/+TNvvve7LgNAv6MN33yYaOYQu7Oh+Wvz0p4105pln0YkndohzINJ3ShBwPzM9AgLvatGihba1YMjkihqBTnTRqDHUfeVyWvkm4tUP0O7VjVR3fyk1TO9HHekg7d/9B89CDRo0mDZv3kJ33z2Hjj322Db1u3Tp1ua3/BAEgiIQmsG6445ZjrLBkMlaliM8IT1oRyUXVtL8BefS1opzqbT0YvrOK2fRzDVzqMKKr+pIZ185jLovnUDnnXMXbTqQScxxJc/Xv/516tKlK82efXem/DHHZL7KF0FACwLHhEEvg+1t7BgVur773Wr63ve+X6iIPGOEQF1dHZWVlVFFRYX1xwhrlXj9f/HFl6hr166MRiKimoxAKAYL3tMTTzxhjXvPnj108OCn1sLsgAEDM/E53bufQT/5yU9MxkZkc4nACy+8QPfddx89+eSTLmtIMUHAHwKhGCw7UZAGsnfvPrtHco85AmPGjKHq6mrq16+f8SPBH9Prrquw1t2MF1YEzEPA2xrWwd307NJN9La35Y28TuVGchBYvXo19ejRg4WxAurw/MeNG58cBaRsJB4M1ke0qWEi3foG0SkeaqUMz1QNF0Gj997bSBMnTmQxbqytLl/+OFVWVrKQV4TMR8C96QmYZ5bftdzhjsAzzzxDw4dfTT179mQxlIULF1JNzQxq3749C3lFyHwE2hislg9eoaWzRhyhHSkto8lNL9AHeP07sIlm9R5Kd+38mHbeNZR6C/NkPpIpu4O1oKqqW2nKlCksRo7E+23btlJ5eTkLeUVIewQyBqvlvdV0y+C76Y2L76H/2buP3n25gbqsvY1mr9lLLR0H0O2LJ1GHDpPokdf30u9cUo3Ydyl3k4AA1oJqa2dRp06dWAxn1qxZ1NAwT7wrFtpyFvJLg/URbVk4n96dehfVVvSyaHDbndafbhzXndY+uJHebjmStvFZz7Ooa0nGxjm3Kk8SjQC8FU5rQQi7wMVhFzPRE0fD4P7BauPA67R+5Wk0bs35WZzdJ1DPysdor7U++RFt2v0H6lAg01+DLNIEEwQeeughNmtB2BhAjBg8LLn4I9AOFLgWTxIVyNKXBXf+mtY0AnhXv//979msBWFjAGEXffr00YSANBMnAkc8rGISBCB2K9a0POeFADwVBImauNOGjYDNmzfRiy/+2gL1sssupcbGRnrwwYd4gRyStGD+3bLleTp48CABm4EDB7FZg1SQOBisFjq4fQFd/82PaOZLs2kATlKhITTjQh4LrGpw8qkXAZPXgvCf8dZbb21DZ7R8+TI6/vjj6cQTT9QLBLPW8Fp8440TaMeOHRneMmDTsePJFj8dGDe4XO2sQwYuGkFTu2+kR1f+jg7ilJTda6ih7kk6o2EyDehI1qkpwsbORaXhyIlJX1s7k+bOnRtOBwFaxWvq1KlT2hgr1dxf//pXuuaa4ak+bgzG6uWXX8oYK4UNuOqAG6cDYo5s+ZX8M02Z/0PqvXUinVtaSud+5xXqOfMhuqeilNpROyo5eyCN7v4Efeu8AV8e/aSGLJ9pQQBrQf37X25kkOj06bfQX/7yF0dVgKJ748aNjs+T/ACeJzwrpwu4zZhR4/TYuPuS/GycSswTCN7VsGHltGzZ48ZRxWDdql+/ywj024Wu8vJvUBoPQbntttsIr3+FLrDFPvvsRuN0ayezwxqWXdHg93IZG/A798pldChWxu452sxux65M9nOUL1bG7nna+gHHmWm4wXs67bTT6J133s6dSm1+4/XHToemjUcJbSern/lWzFihTWygHDrE46Qj8bDUDJFPWwTgwfTtewHt3PmqkTtK4mHZqi1zM2keloStZ1QrX+wQuOeee6ipaYGRxgryIjWotLTUTvTMPbzygAk1jdfw4d+gY48tfAoS8OPCCisGK42z2OWYuSQMP/TQw9YWvdOwzjvvPBoyZIjT40TfR8jCkCFDC44R+HG5xGBx0VQMciIF58477zQySDQbDngHv/jFGivm6oQTTsg8Kik5ibDYvnTpo8aPISN0CF+amprovPMuaNMycDr77HPYce5HuujeBjH5YTQCCBJFCk59fb3RcirhXnvtNRo9eixNnz7dOgDl2Wefo86dOxv7KqvkjuJz3759VFJSQr/+9cv02Wef0dChg+m55zazeQ3MxkgMVjYa8j2DABKGkYLD4ULYBZhPH3jg55n/hFxIBaPAV6VTdenSJdMdlzWrjMBffpFXwlxE5Ddx42l/+OGHLZ52MVL5k9fkdKp8aYvfEQ+rOEapKpHtrXAYOMIaGhrmWmEXHOSNUkaVTgXPMymXeFhJ0aSmcXDjaUf0en39PFmrstG/yelUNuK6uiUeliuY0lEI3gp42hEkyuFC2MXatU/TunXPcBA3Uhm5ecpuwREPyy1SKSjHjaedE/Np1NMnqet64mFFPZMM7Q/eCnjauXgroEThFHYRpdqTvK4nHlaUM8ngvrh5K+Dl4hJ2EbXaTU+nCoKHGKwg6CWkLrwrTjztGzast4JC5RSc/AnIJZ0qX3J3d+SV0B1OiS6lAgtN5GnPBR6LyXPmzLGCRHOfyW8ibp6yV52Jh+UVsYSV5xZYmMStel1TSqVTJZmZQjwsXbOFYTvcAguxmIwUHDCfypWPAKd0qnzp3d0RD8sdToksxc1bQdjFuHHjM/mCiVSKz0FxS6fyOUwSD8svcszrqcBCLt5Kkrfqg04lpcskpeA4YSIelhMyCb+vAgu5ZO0neas+6FTj5ikHGa94WEHQY1qXm7eitupBJihXWwSgS07pVG2l9/5LPCzvmLGvwc1b4cJ8GsfE4JZOFRQjMVhBEWRWX3kr5eXlLCRXW/VXXHElC3mjFBK6RDpVZWVllN3G2pcYrFjhj75zbt5KGrbq/c6CpAeJ2uEiBssOlYTe4+atIAWnR48eJCk4+ROSm6ecPwJ/d8Rg+cONZS1O3opKwZk4cSJLrMMWGulUDQ3zUncakBissGeWIe1zCyxM01a91ynCLZ3K6/gKlZewhkLoJOQZt8DCtG3Ve5lm0CU8ZdDrpPESDysFWoe3Mnz41cTlVJm0bdV7mYLQJdb1uOjSy9jclBUPyw1KjMtw81b2799vbdWvWrWaMerhiM7NUw4DBfGwwkDVoDa5eSsLFy6kmpoZcgqOzRxS6VRp9a4AiXhYNhMjKbdUYCEXnna1VS8pOPkzkFs6Vf4I9NwRD0sPjka2wi2wsLGxkWCsODCfRq1wnL/Y1LQg9Z6nGKyoZ15E/cFb4cTTjq365uZmkhSc/AkCXeL8RS7pVPkj0HdHDJY+LI1qiRNPO4DDVj1klisfAW6ecv4I9N0Rg6UPS2Na4hZYqIJa+/TpYwyGpgii0qmSzNPuBWtZdPeCFoOy2PqurZ3J5lQZ2aovPKk4pVMVHomep+Jh6cHRmFa4pbSsWLGCVVBrlIqW5O98tMXDyseE7R3lrXDiaa+rm0k7d77KFvOwBIcu5fzFfHTFw8rHhO0dFVjIhaedW1BrlBODm6ccFTbiYUWFdMj9cAss5BbUGrL62jTPLZ2qjfAh/xAPK2SAo2qeI087UnAkSDR/hojnmY+JuiMGSyHB+FOltHAJLOQmb5RTQyV/p4mn3Qu+YrC8oGVoWW487Wlly3QzfVTyt3ie9miJwbLHhc1dFVjIJaWFW1BrlBNBPM/iaIvBKo6R0SU4BRZiqz7NbJnFJpJ4nsUQIhKDVRwjY0uolBYup8qknS2z0EQSz7MQOkeficE6igWrbypIlMupMtzkjXIyKM9Tkr+Loy4GqzhGRpaAt8KJpx0pOOPGjU8tF3mhSaQ8T0n+LoTSkWcSOFocI+NKcAsshLySgmM/jZTn+cADP7cvIHfbICAeVhs4ePzgFlgItsz6+nmpZ8u0m10qnSrNPO12uDjdEw/LCRlD73NLaYG8YMvkwisfpdq5pVNFiY1TX+JhOSFj6H1u7JPc5I1S7eJ5ekdbDJZ3zGKrAW+FE0/7rl27WMkbpWKV5zlq1Kgou2XflxgsRirEtnd1dTWbhGEcp85J3iingnie/tAWg+UPt8hrcQss5CZvlAoFNvCUhafdO+qy6O4ds8hrYOubG087J3mjViindKqosSnWn3hYxRAy4Dk39klu8kapYvC0d+7cmbikU0WJjZu+xMNyg1KMZVRgIReedm7yRqlaYCM87cEQFw8rGH6h11aBhVx42rnJG7oCszoQzzMLDJ9fxcPyCVwU1bgFFnKTNwodqj6ATVXVrXJCkALE56d4WD6Bi6IaN552bvJGoUPVB7d0KiW3aZ9isEzTyJfyILBw27atJDzthirIg1iKp33s2LEeaklROwTEYNmhYsA9bjztEgjpPGkUT3unTp2cC8kTVwiIwXIFU7SFVGAhJ552CYS0nyPcPGX7UZhzVwyWObrISMItsJCbvBmgI/jS2NhIDQ3z2KRTRQBJoC7EYAWCT39lbjztEgjpPAfgKTc3N0uQqDNEnp9IWINnyMKroIIuubBPSiCk81wANvA8hafdGSM/T8TD8oNaSHUQWMiJp10CIZ0nArDp0aMHCU+7M0Z+noiH5Qe1EOpwCyyEvPfe20irVq0OAQ3eTXLzlDmhLR6WIdriFlgIeXEKjmzV508gOSEoHxNdd8TD0oVkgHaw9b18+eNseM/hXUFe8a7ylQ5s5ISgfFx03REPSxeSAdrhFnSJFJyamhniXdnoXHjabUDReEsMlkYw/TQF74oTT7sEQjprGdjghCDhaXfGKOgTMVhBEQxYnxtPOwIh77zzTgmEtNE7N0/ZZgjG3xKDFaOKuPGeq0BILilDUapWnRAkPO3hoi6L7uHi69g6tr658Z5LCo6jOkmdEORcQp7oQEA8LB0o+miDW9Alt5QhHyrxXUXSk3xD57mieFieIQteQQUWcuNp55IyFFxD7luALoWn3T1eQUuKhxUUQR/1ufGec/MGfajEdxXBxjd0viqKh+ULNv+VEFjY0DCXDbc35BUucnt9AxtJT7LHJqy74mGFhaxDu9x4z7mlDDnAHsptSU8KBdaCjYqHVRAevQ9V0CXimDhciot83bpnOIgbqYwKm7SlJyF8Y8+ePQWxLinpQGGFvojBKgi93ofceNoVF3n79u31ApGA1hQ2aUv+/sEPvk9vvPG7ghrEydY7duwqWMbvQ3kl9Iucx3rceNqVN8jl1B6P6ghUPM3Y1NXV0QknnFAQv6eeWlvweZCHYrCCoOehLregS+Eid1ZumtOTBg0aTKef3sUWHBiyRx5ZSmGeUi4GyxZ6vTe5BV2qFJx+/frpBSIBrSlswlqjMR0ixJ1dcsmleWLCWE2adBPBoIV5icEKE10iUkGiEydODLknPc1DXuEit8cyzdhg7PjDO2xYuQVOhw4lbUAaOHAwzZxZ2+ZeGD9k0T0MVLPaRGAhN5524SLPUmDWV+gybdgg1mzLli1WvFn//pcTsh169uxJp576j/Szn91noXPmmWdRU1NTFlIhfm2N6Pra17pG1JM53TQ3N7di3PjkcB06dKh1wIB/aX3rrbc4iOsoYxhzLSnYADQ3+GDOLlq0yCqLz9w5rOb2Oeec3bpv3z5HXeh+IK+EIf4x4BZ0CS5yTt5giKrLazot2MCjWrx4MfXte4GFwc6dr9K0adPy2GURzjF79t20aNGiUBfZcxUhr4S5iGj6ja1vbjztwkVur3z8J046NpivK1eutBhTp0yZaqWOFYsxmzRpkj1gId4VgxUSuNzYJ+EN1tfPy/tLGhI8rJpNMk87DBXm6rZtWy2e/qqqKu1ssjD4OAG7W7dugduWV8IQ/utgEnDjaYc3KFzk+ZMBukwiTztSbBAEOnnyTVRWVmad2AS21DCyGpA/O3ToYC1ti8HKn6OB73DjaefmDQZWkIcGkoYN4shwgSH1mmuuoc2bt1BYhkrBDO/t6qtHqJ+BPsVgBYIvv7KaEFyCLrl5g/mIh3dH8bQnIT0J83LMmDFWjB0Qe/LJJymKOYr4rT173qH+/ftrUZSsYWmB8UgjUA43nnZu3qBGdRVtSvG0h/GaVLRzDQUwHxE7tmzZMit+rLq62jJSpaXdNLR+JCga7b///vt07bXXWruFMIzPP/88qbWwffv2WX0NHqwnAl4MlhbVHWkEykNwHQLrOFzcvMEoMeXM064MFcgFMR9heMOckyCkPOmkk+iSSy6xPLgPP/yAJkyYYBkw9Lt37xGjpUV/ugO7nNpzE6zmVJfDfRVYGGUQXRBclLzcg0TtMAg617hig2DOVatWWcG/tbW1jgHAQfHJxXzp0qVWnwgwBXZhXrKGpcXsEwlPuyYgDWiGm6ecHeyJ1zOQCtbX14fqVWWr6ayzzrLWqbAmFvbrsxisbOR9fseEgVs8duxYny1EWw2vDHhd4JKQHSU60CWwmT59epTd+uor21ChAaeodF+Ne6jUoUMHq/Sf/vS/Hmr5KyoGyx9ubWpx42lX3mCY6xptAGL0Q/G0h8npFBQO7Oz++Mc/puuuq7DWjuIyVGocwAwJ0L/97XZ1K7RPWXQPCC0mD+JMuPC0K28Qk1yutggAGwTQmsrTjrkWdlR6W0QK/4Knjrl/7rnn0sknn2wF2I4cOZI2bNhg5R8Wru3vqXhY/nDL1MIEgrEK+90902HAL0lOMwkIDcFTrqmZYVx6UpRR6W4xBDfWt7/9bVqxYqW1I9irVy9rHQthMpWVlW6b8V4uzBX97LZ170xktx3X923btrWOHj06ru4994sdQdDHhL2T41kwzRX8zDUTsVHzC3MM33VdfvDJ7RtzCDKpuYQdyvXrf5VHQ5NbL+hveSX0buMzNbjxtCctzSSjCA1fTOJpR3wc5hYuFeypYYham8AbRXakPJgdoqCNFoPlU43ceNpVmgm2u+VqiwAMBNgEovgP17bno79UsGduVPrREvINCIjB8jEPVFgA6GK5XCrNhIu8UcoZJ4e9MlRRRaVHiWsYfYnB8oEqAgs5MXPCg8DhltkuvI9hJ7KK8pT79OkT6fiwI2nHlR6pEBw7C7oI5ra+joU+t32FWU5xWeOTw4VF0STwtHvB2u1ciwMbzJtCXOlexum3rFt8/LYfZj0Ja/D4V4YbTzu3NBOP6ghUPEqedlOi0gMBZkBleSX0oAQE7nHjacfayLJlj3sYZTqKwoBEwdOOOeOVKz0dGvA3SjFYHnDjFhbAIc3EA/xaiwKbMDnsTYtK1wpejI2JwXIJPiYgeNolBcclYAYXC9NTRvgIjKE61IFTFoTBKsuIJgYrA0XhL9yYObklZBdGX+/TMDzl3GBPiXfTqzPVmhgshUSBT0xGXFzCAuBBcErILgC99kcqgFaXp5xrqLjMEe3ARtSgGKwiQCOwjxtPexgeRBGY2DxWAbRBktVVsKdEpUevdjFYRTDnFhaAv/hYa5NXknzFApsgAbTKUElUej62Ud0Rg1UAaUxQbmEB3BKyC8Cv9VEQT1mi0rWqIlBjEjhaAD7FzGky+2S2+DjppUePHmzW2rJlD/u7H085O9gzDq70sDFh2X6YYfTZbXNLB5AUnGzt8fqeO9egS6QnuT3RyIT0mTARz8UnzL50ty2vhA5/ZriFBfjxIByGnrjbbgNosbsqUelmq18Mlo1+uIUF4NWlqupW69QUm+Gk+hawwYlGhTjsoW/srKpgT3VqcaqBM3TwYrBsFIPJyylCGR5Ebe0s47jIbaCN/FYhT1lFpWNX9YYbbmCl88iBNKRDMVg5iuAWFrB//36jT3rJgTfSn06esgR7RqoGrZ2JwcqBk1tYwMKFC4086SUH1lh+5vK0i6GKRQ1aOxWDlQWnYp/kkl7h5EFkDSm1X2GcwNPev//lBL2qqHTkhEbNLppaJYQwcDFYX4KqgkQ58bTnehAhzA+2TTY2/pQuvriMhg0rt4wWUnLkpGu26swILgbrSygQFsCNpz3uk14ys8igL9gVxPX6669bBgt/gMRQGaSggKKIwSIijmEBcZ70EnDOhVIdOsRuKUIYcD366GN00UUXhdKXNBofApKaQ2RNdE5hAWqtTdZijvyxWbx4MfXte4H1v2jWrDusTzFW8RmVMHtOvYeFhWtOPO0c19rCmMDQm4pKr6mZkQkMVYYrjD6lzfgRSL2HxY07ittam+4pDkNVV1dHkyffRL169aJ1656hiooKK2hWBdDq7lPaMweBVHtYmPzceNrTmoJTLCo921NW61jm/DcTSXQhkGqDxY2nXXkQnTp10qV/49txG+zJzVM2HnhDBUytwcJ/BFycgkQ5rbUFne9uDRX60c3THlR2qR8eAqk0WEHYJ8NTReGW0+BBQC9Yo/Mala6Dp70w+vLUFARSabC4cUdhfSbJp+AoQ+WHK52bp2zKf3yucqTOYKmwAE7Ht2OtraFhHgU56cXECYpgz7Vr19KSJfdbWQZeo9I5esom6oGTTKkLa+DG055EDwKGSgV7fvrpp7Rq1Wq6/fbbPafQcPOUORkGU2VNlcHCfxRseY8dO9ZUfbSRCx5EklJwsg0VBgoW0GnTpvkiHlSe8vTp09tgJj+SjUCqXgkLsU+aqGZ4EDgFh3sKDtbgsGmgKIhhqIKGZnDzlE2cXyxl0n2qhVN7cZ/U8dZbb1knpxw6dMhJRKPuQ06c9AK5uV6Qvba21hrHqlWrWnVhX+xEo7jnmun64oxPajws/IXnxNO+YsUKGjduvOd1HRP+amLd7amnnrKyCMLgSufmKZugk6TIkAqDhf9AnI5vx1pPXd3MTEIvl8kGnLHmhqu6ujqUoNykh3hw0XVccqbCYHHjaV+yZAnV188LvM4T1aSKwlCpsXDzlJXc8qkHgcQbLMUdxSkFZ+3apy0WAj0qDqcV7NJhU0AFe0bBlc7NUw4H+XS3mmiDpba+OfG0m56Ck2uovAZ7Bvnvxs1TDjJWqWuPQKINFjwATjztJifxYl0tSFS6/fRzf5ebp+x+ZFLSEwJRbcFGvZVabOs7qnF76Wf06NGt27Zt81Il9LLAcdGiRa3QHz7xO+rLa4hH1HMtajyC9scZn8RGunPjjsL6DC5T1tp0RqV7+gtqU5ibp2wzBLmlCYFEvhJms09qwinUZrAuVFs7k0xYawsjKj0IeDCcaWVZDYJbUusm0mCZvnCdO5ngQeCE4jjPz8s1VKYE2XLzlHN1K7/1IpA4g4X/eJx42tVOZlx0N3gVDTMqPch05eYpBxmr1HWHQOIMFjee9riSeKMM9nQ3FfNLcfOU80cgd3QjkCiDZdrCdTFlYX0GdDdgL4jq4mCogAU3Tzkq/aW9n8QYLJMWrt1OKqTgNDUtCD0FJzfYM4qodLcYOJXj5ik7jUPu60UgMQbLhIVrL6qBB4EUnKqqKi/VPJXNNVRRRqV7EjSnMDdPOUd8+RkiAokwWHEvXPvRT5jrM3FHpfvBQ9Xh6Ckr2eUzfAQSETga18K1X/XAg8BOJo5Y13llB3sG4UrXKZPXtrh5yl7HJ+WDIcDeYKmFay487VCX7iTebEOF9oNwpQebTsFqK0954sSJwRqS2olFgP0rITf2yQ0b1lPnzp21pOBgHQyvljq50uOc6cpTjjOANs7xS98uEAiaSOm2fhgJl2nlaQ+LK92tLsMopzNZPYy5FsaY42qTMz6sPSx4F6akkLj422AR3gVJwcHal6lR6W7GX6gMN0+50FjkWXgIsDVYauG6vr4+PHQ0tox1JrBz+knBwVjD5krXOFTPTeHVFq+1+OMjlyBQCAG2Bkv3wnUhkHQ8QxIvTsHp2rWr6+aSbqgUEGGGeKg+5DMZCLA0WNzYJ+FdLV/+uHUke7FpkxvsySEqvdiYCj3n5ikXGos8Cx8BdgZLbX2bwB3lVj1Yn6mpmVEwBSfXUHGJSneLgVM5bp6y0zjkfjQIsDNY3Ngni63PwPuKkys9mmlm3ws3T9l+FHI3SncbELgAAAfySURBVARYGSz85+bGPtnY2Gi7k4mxYF0LbA21tbOs18VOnTpFqftY++LoKccKmHRuIcAq0p0b+yTWZ5qbm+mKK67MTDcYqsWLF1PfvhdY97hGpWcG5POLpOD4BC7l1dh4WHi1wsL1unXPsFFZ9vpM0qLSgyiBo6ccZLxSVx8CbAwWt61vtT5zyimnUF1dXSZ9hlOgq75p1rYlbp5yW+nlV5wIsHglhHcCdoPy8vI4sXLdN9ZnfvSjOfTnP39CCEsoKyuzPEOwM7Rv3951O0ksuH//fstTrqysTOLwZEwhI8DCw+LEPol1q9raWvr73/9OEybcqCXJOeQ5EGnzCxcutEI80m64IwU9QZ0Zb7BgAHCZcsCok+4hJ9asDh8+THv2vG1RvKRp188Jl+z7xUI8ssvKd0HADgGjDRZerUw5YNQOvNxgz7lz59KGDRvoqquuKhgkatdWGu7BU25omJf61+I06DqsMRptsEzd+s41VCoqXa3PcNrJDGti5bbLxVPOlVt+m4WAsQYLRsEvu0FYEGM7XkWlI5FZGSrVn6zPKCTafkKXeF2GByqXIBAEAWN3CRX7pBd2gyBAFKqbHeypuNKnTZvW5mh5tT7DZSez0Hh1P4On3KNHjzZ46e5D2ksHAkYaLBgIpKzEzdOebagwHQpFpSMFR9Zn8v/TKE9ZeNrzsZE73hEw8pUwbvbJ3Kj0N9/cXXChGOszSMExfSfT+/QIXkN5ysLTHhxLaYHIOIOlXq3iYJ/MNVRuotLV+gx2wORqi4DylOGZyiUI6EDAOIMVB087PCTFlT516hRbdgUnsNX6TJ8+fZyKpPb+kiVLqKlpgYR4pHYG6B+4UQYLhgMpOFHxtKM/7F7hqq6u9vxKp9ZnOJEJ6p9C9i3CW1279mmqqqqyLyB3BQEfCBhlsLLZDXyMxXWVoIZKdbRixQoaPvxq2f1SgGR9cktWzxJdvhqMgDEGS7EbhLVwDW8Ir2+I7cJRW4gJCrIQjPWZurqZ1s6hwfqNRbSoPeVYBimdxoKAEQYrzFerXEOVG+zpF3WhSHFGLipP2VkCeZJUBIwwWPB8dL9awQMqFJUeRKFYn+FGJhhkvF7qbtiw3goSDctT9iKLlE0eArEbLBgWnTztaC9srnRZn7H/jwBvds6cOVbKkn0JuSsIBEMg9kh3Xa9WSDyOgisd3hUnMsFg08NbbXjKWB8MsjborUcpnTYEYvWwdLxaoQ14PDjqHGf/FYtKD6pgTmSCQcfqpb5uT9lL31I2PQjEarCCvFrlGio3UelB1YrdL1yyPpOPpC5POb9luSMIHEUgNoO1a9cu69XKawoOjMbSpUut3D2vUelHh+39G9ZnTCYT9D4ifTWEB0wfltJSYQRiM1iIg0J0uVtub13BnoXhcH4q6zPO2AgPmDM28kQvArEYLLevVvBqduzYESh9RgdckAMBp5KCk48mXs2xfujVU85vSe4IAsURiNxguXm1QhmdUenFYShcQihSnPERnnZnbOSJfgQiN1iFXq1yDZWuqPQgsGH3C2SCQpGSj6JbTzm/ptwRBPwhEKnBwn9+O552FeyJ6HE7rnR/Q9NTCxQp9fXzhCIlB078cUEKjvCA5QAjPy0E5s+fT6eeeiqNGDHC9Tq1G+giDRzF1jcMkuJph6HKDvZctWo15XKluxlEWGWwPgOKlFGjRoXVBdt24SmDp114wNiqMFTBt2593tpVHzasnDZtek5bX5EaLMXTHlVUelCUgsSJBe3b5PrwruApC0+7yVqKX7bDh7+gPXveoZtvvpkGDhygxXBFarBqa2cR+NpvuGE8nX766VZUOjwqE09IVnFiFRUV8WveMAlkE8IwhRguzqFDn1mG66abbqKhQ4eQWvv0I3YkBus3v/mNJduyZY9RWVkZ4aBRGAK3MVh+Bha0jooTC9pO0uqrTYi4TzRKGq5pGA88rt2736JJkybS9dePIrxpeb2OaW1tbfVayal8aWk3p0dyXxAQBAQBC4Fjjz2OunXrRsuWPZ5Zz3YLjVaDVahTGLO9e/cVKiLPBAFBICEIjB07hl588UjurRrSiSd2oNLSUpo9+9995+NGGtagBJdPQUAQSA8CMFSXXnoZ1dTUBN5VFoOVnnkjIxUEIkdgyJArrFg9XRxp8koYuQqlQ0Eg+Qgg9qpr127ayRzFYCV/7sgIBYHEIBBJWENi0JKBCAKCQKwIROZhxTpK6VwQEAQSgYB4WIlQowxCENCJwB9p9eQLCKFI59y8mt5rIWr54AVqmlxGpaXldO/2gzo789SWeFie4JLCgkBaEGihg9sX0PUVL9G41f9GB1b8kcprx1Ovknh9HDFYaZl/Mk5BwDMC8LSupqptg6np2f+gii7HeW5BdwWJw9KNqLQnCCQGgVOo9+XnE9FgutQAYwVY4/XvEqNYGYggkGAEtm2nNw60GDFAMVhGqEGEEATMQ6DlvfW0dHc3uoo20vrtHxshoBgsI9QgQggChiFw8L/pkYXvU0Xt92jCyOPptXeb6W/v/ZLuXvomxelricEybJ6IOIJArAi0vEkPX9uLSq9/gr5SOY4uLPkqXXhlf9p914108391pqnf7BXrOpLsEsY6O6RzQUAQ8IKAeFhe0JKygoAgECsCYrBihV86FwQEAS8IiMHygpaUFQQEgVgREIMVK/zSuSAgCHhBQAyWF7SkrCAgCMSKgBisWOGXzgUBQcALAv8PajzVjWwcXcAAAAAASUVORK5CYII="></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>realizes that gamma = 1.25</p>
<p>0.6<em>c</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>indicates the two simultaneous events for <em>t</em> frame</p>
<p>marks on the diagram the different times «for both spacetime points» on the <em>ct′</em> axis «shown as Δ<em>t′</em> on each diagram»</p>
<p><img src="data:image/png;base64,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"></p>
<p><em><strong>ALTERNATIVE 2: (no diagram reference)</strong></em></p>
<p>the two events occur at different points in space</p>
<p>statement that the two events are not simultaneous in the <em>t′</em> frame</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about time dilation.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two space stations X and Y are at rest relative to each other. The separation of X and Y as measured in their frame of reference is 1.80×10<sup>11</sup>m.</p>
<p><img 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gACCCCAAAIIIIAAAgggEDaBU8NWMgUjgAACCCCAAAIIIIAAAgjYAgQvvggIIIAAAggggAACCCCAQJgFCF5hBqZ4BBBAAAEEEEAAAQQQQIDgxXcAAQQQQAABBBBAAAEEEAizAMErzMAUjwACCCCAAAIIIIAAAggQvPgOIIAAAggggAACCCCAAAJhFiB4hRmY4hFAAAEEEEAAAQQQQAABghffAQQQQAABBBBAAAEEEEAgzAIErzADUzwCCCCAAAIIIIAAAgggQPDiO4AAAggggAACCCCAAAIIhFmA4BVmYIpHAAEEEEAAAQQQQAABBAhefAcQQAABBBBAAAEEEEAAgTALELzCDEzxCCCAAAIIIIAAAggggADBi+8AAggggAACCCCAAAIIIBBmAYJXmIEpHgEEEEAAAQQQQAABBBAgePEdQAABBBBAAAEEEEAAAQTCLEDwCjMwxSOAAAIIIIAAAggggAACBC++AwgggAACCCCAAAIIIIBAmAV+EObyTyi+LG+CLh6aq2Mn7PH94FJNyl+hYW0aVe2o69zGaUv0QVYPHT+j6lR+QAABBBBAAAEEEEAAAc8JlCp//LUalltSe80apynnwznqccIv+ruU0+dGzdoZIF0EPK/2y4Vj7ynfW1s4Cq69zIMqXLtaa5Zl64WdR2se2qiDbvrDY5req40Sau6pfFeu0oLH9LubFujDMvNRU12UNllTJw9UcjP/Z/gthg8RQAABBBBAAAEEEEDAAwLW7/eFL+vpBY8qe/P+avVppFZXjdOC+UPr/D2/vDhXIwdP0aYSOyCoUYc0jb13hG7rGShTVLtMhH6M0lDDlkruP1Kz163T3KvPqdnUX1yvjIChyxyaoGYXd9flP7Pirglpi1/W2qyb6rwZNS/COwQQQAABBBBAAAEEEPCGgPX7fXI/jX96qU82aKmu6cF1riS0uV7DU9tYzbHC2tVz9Md1czTMQ6HLOEcpeFXe4oRE9VvkA/xJnt4sCtBVaJ9mJeIta/Xy/p+p1+xHaukZq7wGLwgggAACCCCAAAIIIOB9AZMNsrI0vEPTyrqWaP2CF1RUHkTVyz/Rpg3FatRxnJYvStP5HhwIF93gZQxt4Ac1sFXlgM2ydzVv3HMBgcuL12ri5Nd1ZmaWZvdPDDAcMYibwyEIIIAAAggggAACCCDgLYFmXTTm0VFKdqLBjic1Ycmnqj17HVPRknla8vdOGjv3v5TowdBlkKMfvEwtmvXUxJkD1Mr8bG1lgYBL39H8ex7Wn8+6U/PHdlGzisP5GwEEEEAAAQQQQAABBOJEICGxr0amnlfZmqMqzHpIz9YyIq686DlNyPpIvxo/VbclNvasgjeCl3luq+doPZxWG/A3yp85Sdn/uF6Llgz1bJL17J2mYggggAACCCCAAAIIxITAmeox+f5qI+IK9Gz2NpX6rfs32pq9QoUtr9fIgUmeHg3nkeBlFH2Bqw85tLoPF9+tzHUtNHzhGPVg9kK/Xzs+RAABBBBAAAEEEEAgLgRqjIgrU0nuDM3O+8anadbcD3mPakquNHDmaM9nBA8FL8uxBrAz5PAjHSxYqDF29+FMjenU0gectwgggAACCCCAAAIIIBBfAr4j4vbphcmPKr+02tNepXmaPXmdlHa/JvY80/PNj9I6XrW5WEMKxw+0FlHbV3FQozPVqpm11lePJ/RaVi+e66qNjn0IIIAAAggggAACCMSTQOkmTbxmpF6w1+eypopPW1iZCcyIuNvUO6upZr67SP1aenRGjWr3wls9XnbFfIccfqOS0q4aM6EnoavajeNHBBBAAAEEEEAAAQTiXqDGiLjjQw6PT6hxn26MgdBl7pMHe7xMtcx4zQfUe+gqlZi3aqrk+3O1JqO9px+Ys6vKXwgggAACCCCAAAIIIOCigM+IuFad1fOnH2nbD0bptRcyYmbSPQ/2eJl7VKbSw9bwwqqt7mkkqw7lBwQQQAABBBBAAAEEEIgjAZ8RcSXvKm9naw19ID1mQpe5GZ4MXqbrcOzELWqdebdSg1xYOY6+WTQFAQQQQAABBBBAAAEEqgs066qM2zupcl1lqcMApSX/qPoRnv/Ze8HLeoDu/vRH9HWPKZo39m5NCWZhZc8zU0EEEEAAAQQQQAABBBAIXaCxzk08N6YfO/JW8Cr/VDlDx+gFperhrP46P8F3GkmGHIb+ZeVMBBBAAAEEEEAAAQQQiJaAh4LXQRXMm6x5H/5Sk1Y8WG0BNJ8xnWXVF1aOFhvXRQABBBBAAAEEEEAAAQSCF/BI8DKzGM7X3YsOqW/2ExqW2LhmC2pMI+ksrPypNfchGwIIIIAAAggggAACCCDgfQFPBK/yoiUaNvxVnZk5K8Cq0ww59P5XiRoigAACCCCAAAIIIIBAIIGoB6/y4lyNTJ+rv100SvPHdqllkeQThxzOSp+u/FL6vQLdXD5HAAEEEEAAAQQQQAABbwhEMXhZwwsLF2vE4CnaVNImuHn4rSGH48Z1Pz6NZMkqZQ55TAWEL298m6gFAggggAACCCCAAAJhESjTgaJiHXPKPnRIh2Os/yUKwcsErvXKHt9PnVNnKq+kzOL7l/bu/bruZ7bKP9eWNz6xllc+vpXtXKD0IZOVk1dc9/nHT+MnBBBAAAEEEEAAAQQQiAkBkx+WasYzHxyv7f5X9YclBSo9/onnfzrle2uLXC13KafPjZq1syqr+ly6lQYueV2zezbz+bxMny9O11Uztvt87vO2cZpyPpyjHlUrq/ns5y0CCCCAAAIIIIAAAgjEiECp8sdfq2G5JbXXN0YyQISDV+1m7EUAAQQQQAABBBBAAAEE4lEgCkMN45GRNiGAAAIIIIAAAggggAACgQUIXoFt2IMAAggggAACCCCAAAIIuCJA8HKFkUIQQAABBBBAAAEEEEAAgcACBK/ANuxBAAEEEEAAAQQQQAABBFwRIHi5wkghCCCAAAIIIIAAAggggEBgAYJXYBv2IIAAAggggAACCCCAAAKuCBC8XGGkEAQQQAABBBBAAAEEEEAgsADBK7ANexBAAAEEEEAAAQQQQAABVwQIXq4wUggCCCCAAAIIIIAAAgggEFiA4BXYhj0IIIAAAggggAACCCCAgCsCBC9XGCkEAQQQQAABBBBAAAEEEAgs8IPAu6K3p7Cw0L74d0e/02effaqzzjpbrc9qbX+WlJSkJk2aRK9yXBkBBBBAAAEEEEAAAQQiIrBn9x4d/e6onFzQtOkZavfzdva1Yy0XeCJ4bdu6TXmbN+tvf/tQOwp21HkTL0i8QB06dNBVv+mlbindCGJ1inEAAggggAACCCCAAALeFzC5YPv27Xrn7b8ElQuat2iulJQUXfbrzkrpnqJWrVp5tpGnfG9t0ahdSUmJVq5Yaf15XocPHbar0KNnT3Xu0rlGD1dycrKcpGsOKnj/fX3y8cfasmVL1XlDbr1VffreKHMsGwIIIIAAAggggAACCMSOwHfffafVq1ZpzerV2lu01654x04d1eXyK9S+ffuqkW/md32TIb7++mv7GH+5oG9qX90yZIgnc0HEg5eBfTr7aS188kkbzIStfv37h9Rz5fSULV+2rKqsiZMmqW1SW/s9fyGAAAIIIIAAAggggIA3BZzA9dSiRXaHiglbtw29PaRcYDpqVjz/vDZseMUuy2SMkaPu8lQAi2jwMkFp9L33uI7h3LRZM2ba36pJ90/WsIwMb37DqBUCCCCAAAIIIIAAAg1cwMzpMH7sWLuHy82Q5OQCJ8yNHDVKdwy/wxOPJkUseD00dZpMz5R5Pitr3rywpE/T9Thl8v3Kz8uTScxPLlzo6XGeDfzfG81HAAEEEEAAAQQQaIACOYsXy3SYmOezHn3scXXt1tV1BRPApj7wgNavW2/nglmz50R9VFzYg5dp9G3WM1hm0gzzLNaYcWPDnjjXrF6jyRMn2jdz9ZrcqCO7/k2iQAQQQAABBBBAAAEEYlDA6YwxvVyPPfF42HPBxtc26sEHpthSi595JiydP8HehrAGr+qha+bs2Rp006Bg61Xv40z3Zcbtt9vlEL7qzUkBCCCAAAIIIIAAAgjUS2CgNa+D0xkz9aFp9SrrZE42z3/dNCjNftxp6fLlYelhC6Y+YQ1eDq4Z8ndd7+uCqY+rxzjIplDCl6u0FIYAAggggAACCCCAQNACTk+XGQEXydDlVNALueBUpzJuvxpck2hNT1c0Qpdpj5nd0AQus02aOEGmB44NAQQQQAABBBBAAAEEIidgnukycz1EK3SZllbPBab3Kxq5ICzBy8xe6OBGcnihv6+PQZ7++4ftEDh/7jx/h/AZAggggAACCCCAAAIIhEHAPP5jJtIwz3RFo6erepNMLjDPeZk1hO+9+57quyLyc8I0a3PzSiY9Dh40yFoE+Sw9bq3Vddppp7lZfEhlJbVL0hf79lmLsq2x1gVIUevWrUMqh5MQQAABBBBAAAEEEEAgeIEht9winWI99pOb64lcYHLA6aefruesZ72SktrJ5IRIba73eJleJZMizZTxTZo0iVQ76rzOQ7//vT3LoVkvgA0BBBBAAAEEEEAAAQTCK2CGGO4t2muPPvNSLjDr/Zolrsxsh5Eccuhq8DLraJkhhn1T+0Z1qkZ/XyFzs82QQ3PzzbSSbAgggAACCCCAAAIIIBAeARNozCLGZohhtOZ7qK1lppPIdBatXrWqtsNc3edq8Fq5YqVduXETJrhaSbcKMzfdpNtHH5nvVpGUgwACCCCAAAIIIIAAAj4Cr736mh1sRo66y2ePN94mJyfbodCEw0htLgev5+0GtGrVKlL1P+nrDMu4w+71Mg/6sSGAAAIIIIAAAggggID7AjmLn7Y7PEzA8erWz1pXzPR6RWo0nGvBy8xkaCpuGuDlrff1ve3qvbL+ZS9Xk7ohgAACCCCAAAIIIBCTAmbNLPN4j+nw8PJmRsM1b9Fcm9/cFJFquha88jZvtivcLaVbRCoe6kXMs15mrOlbb20LtQjOQwABBBBAAAEEEEAAgQACf/5zvr0npXtKgCO88/ENN/TR+nXrI1Ih14KXCTIm0HhpxpJAgr2uvtpO4WYyEDYEEEAAAQQQQAABBBBwT+Ddd961hxl6+fEjp7WXXnaZ/WMkHkNyLXiZ7sTOXTo7bfD0a7uft7Prt3vXbk/Xk8ohgAACCCCAAAIIIBBrAvl5ebryyq4xUe2OnTra9Sx4//2w19eV4OUkxJ//vH3YK+zGBZyH/D777FM3iqMMBBBAAAEEEEAAAQQQsAScdbHOPufsmPBweuUO7D8Q9vq6ErycWjZp6p0Fk5061fZ65MjR2nazDwEEEEAAAQQQQAABBE5CYPfuihFlnS655CTOiu6h5nGpL7/8MuyVcCV47fpsl13R1q1bh73Cbl3AAH/80UduFUc5CCCAAAIIIIAAAggggEBAAVeC19GjR+wLOF11Aa/GDgQQQAABBBBAAAEEEECgAQq4ErwcN2dMp/OeVwQQQAABBBBAAAEEEEAAAcmV4OVMquGM6YwF2A8+KNSPf3xGLFSVOiKAAAIIIIAAAggggECMC7gSvGJtUg1zzw4fOqxfXHhhjN8+qo8AAggggAACCCCAgHcEmjZpalfGmQPCOzULXJNIdci4ErycSTUiMf99YLLg9+zZvcc+uGlTeryCV+NIBBBAAAEEEEAAAQRqF2ib1NY+4MCB8E/PXntNgttrHpWKVIeMK8HLTKrRvEVzffLxx8G1MMpH7dpVMQujs5BylKvD5RFAAAEEEEAAAQQQiBsBsyhxrMwe7jwq5Tw6Fc6b4ErwMhVMSUnRli1bwllX18re/t57dlnOQsquFUxBCCCAAAIIIIAAAgg0cIEul1+h/Ly8qsWUvcyRn5dvVy+pXVLYq+la8Lrs153tbjpnGF/Ya16PC2zY8Ir6pvatRwmcigACCCCAAAIIIIAAAv4ELr30UvvjrVu2+tvtqc9e3/iaTA9dJJbFci14pXRPsRFXPP+8pzB9K7Nt6zY7IF71m16+u3iPAAIIIIAAAggggAAC9RTo2q2r/RjS5jc31bOk8J5uOoz2Fu3VgIFp4b1QZemuBS+TEk0vkulN8vJ6XsuWLrW/CN1SukUEmIsggAACCCCAAAIIINDQBG64oY/Wr1uvkpISzzbd6TByOpDCXVHXgpep6C1Dhti9SatXrQp3vUMqv7Cw0B5vOiIzU02aNAmpDE5CAAEEEEAAAQQQQACB2gWGZ46wD8he9FTtB0ZprwmEy5ct05Bbb43IMEPTTFeDl5msokfPnnpq0SJPptuFTy6we7tuGjw4SreYyyKAAAIIIIAAAgggEP8CZjScCTUm3HhxDoi5c+bYN8EJiJG4I64GL1PhkaPusnu9nMZEohHBXGPN6jX0dgUDxTEIIIAAAggggAACCLggYEKNWXJq0sQJLpTmXhFmzgczDHLkqFER6+0ytU+YZm3uNUMyiymXl/9Hzy1brqSkdorE1Ix11d+k7PtG36sLL7xQsyvTbV3nsB8BBBBAAAEEEEAAAQRCFzCP9px66ql6YU2uTj/9dGv2wE6hF+bSmWYuisGDBumHP/yhnly4QKeddppLJdddzCnfW1vdh53cEaZBt1ldizsKduiNTZvkrGB9cqW4c7RTl+LiYq22bno06+JOiygFAQQQQAABBBBAAIHYERg29HZ75NnS5ctlZjyM5jawf387o7y47iVFek1f14caGkiTbmfNnlPxPNWgtKiN63RClwmA03//MKErmt9yro0AAggggAACCCDQIAUee+JxXZB4gUbfe0/UcoGBf2jqNDt0zZw9O+Khy1w/LMHLFGx6lkwPk9luikL4qh66nly4UNf1vs6uC38hgAACCCCAAAIIIIBA5ARMp8yip7LtC5pcYGYaj+RmcoEJXc4shoNuGhTJy1ddK2zBy1zBN3yZB9kisZlnupyhjoSuSIhzDQQQQAABBBBAAAEEAgtUzwUDUvtp42sbAx/s4h6nM8YJXVMfmuZi6SdXVFiDl6mKg9y8eXP9zlrn65H5j4R1gWUze6FJ0uaZLkLXyX0ZOBoBBBBAAAEEEEAAgXAJmFzw6saN1iQbHTVq5EiNGT06rLnAdPp079atanhhNEOXMQ3L5Br+bpZJm1MfeMCeutEe43nfGFeH/5kuS7NOV35enn0zzTNm5uayIYAAAggggAACCCCAgHcETC54Ovtp63f3J+05IcaNnyA3h/+ZxZGnTL7fzgUmd2TNmxeVZ7p8xSMWvJwLm+Q53eri21u0t+IhOyuAdUvpZk/I4RxzMq+mvGVLl9qwZp2AEZmZGpaRcTJFcCwCCCCAAAIIIIAAAghEWMB0nIwfO7YqFwzLuEO9r+8dci4w5b2y/mX7WS7TFLNO1x3D7wi5PLc5Ih68nAaYcZ2PPjLfhjaf9U3tq8t+3Vntft6u1kRqEqyZpXD7e+9pw4ZX7MWaTeC6Of0W68/NEV0EzWkLrwgggAACCCCAAAIIIBCaQH1ywe5du7V9+3a9vvG1qlwxxFrWyize3KpVq9AqFKazoha8nPaYHqu8zZurQpTzuQlTF1+c7LzVvn2fV2E6H5qwdtVvetWrx8wpi1cEEEAAAQQQQAABBBCInoDTY/XWW9tq/N7vmwu+/bbU7oipXtMePXuq19VX16vHrHp54fg56sGreqPMbIS7du3SV18d0Ccff6xvvz1Sfbc6d+mspk3PqLNXrMZJvEEAAQQQQAABBBBAAIGYEnBGuZlccGD/AX355Zc16m9ygdk6XXJJraPlapwU5TeeCl5RtuDyCCCAAAIIIIAAAggggEBYBMI+nXxYak2hCCCAAAIIIIAAAggggEAMCRC8YuhmUVUEEEAAAQQQQAABBBCITQGCV2zeN2qNAAIIIIAAAggggAACMSRA8Iqhm0VVEUAAAQQQQAABBBBAIDYFCF6xed+oNQIIIIAAAggggAACCMSQAMErhm4WVUUAAQQQQAABBBBAAIHYFCB4xeZ9o9YIIIAAAggggAACCCAQQwIErxi6WVQVAQQQQAABBBBAAAEEYlOA4BWb941aI4AAAggggAACCCCAQAwJELxi6GZRVQQQQAABBBBAAAEEEIhNAYJXbN43ao0AAggggAACCCCAAAIxJEDwiqGbRVURQAABBBBAAAEEEEAgNgUIXrF536g1AggggAACCCCAAAIIxJAAwSuGbhZVRQABBBBAAAEEEEAAgdgUiOvgVVhYqMwRI7TxtY2xeXeoNQIIIIAAAggggAACcSBQUlKi3w25VTmLF+u7776LgxadfBPiMniZwHVLeroGpPbTn/74hr766sDJy3AGAggggAACCCCAAAIIuCLw9ddfa9vWrZo1Y6au7HJ5gwxgcRW8qgeud/7ytitfEgpBAAEEEEAAAQQQQAAB9wSOHj3aIANYXAQvApd7/xAoCQEEEEAAAQQQQACBSAg0tAAW08GLwBWJfxJcAwEEEEAAAQQQQACB8Ak0lAAWk8GLwBW+Lz4lI4AAAggggAACCCAQDYF4D2AxFbwIXNH4J8A1EUAAAQQQQAABBBCInEC8BrCYCF4Ersh90bkSAggggAACCCCAAAJeEIi3AHbK99bmBdhAdTDTwtd3hsILEhN13nnnBboEnyOAAAIIIIAAAggggEAYBb799lvtKCio1xWaNm2qZ5cvU3Jycr3KidbJnu/xOnrkaLRsuC4CCCCAAAIIIIAAAgh4ROA///mPR2oSWjU83+NlmrXxtY2amzVHX+z7IqRWTrp/soZlZIR0LichgAACCCCAAAIIIIBA/QTMo0MDUvuFVMjpp5+uu++9RzcNHqwmTZqEVIYXTvJ8j5dBuq73dcrfskVPLlyoc8871wtu1AEBBBBAAAEEEEAAAQTCKGACl+lAefuv79qdKLEcugxTTAQv534SwBwJXhFAAAEEEEAAAQQQiE+BeAtczl2KqeDlVJoA5kjwigACCCCAAAIIIIBAfAjEa+By7k5MBi+n8gQwR4JXBBBAAAEEEEAAAQRiUyDeA5dzV2I6eDmNIIA5ErwigAACCCCAAAIIIBAbAg0lcDl3Iy6Cl9MYApgjwSsCCCCAAAIIIIAAAt4UaGiBy7kLP3B+iKdXE8DMHzMN/cqVK3TWWWfHU/NoCwIIIIAAAggggAACMSXQunVrdbnicnXv3j3mp4UPFT4m1vEKtXGchwACCCCAAAIIIIAAAgh4QSCuhhp6AZQ6IIAAAggggAACCCCAAAK+AgQvXxHeI4AAAggggAACCCCAAAIuCxC8XAalOAQQQACBBiZQWqiXFmcr6/buSplToHJ/zQ/mGH/n8RkCCCCAQNwIxOXkGnFzd2gIAggggIC3BcoLlDX0Me3+//9HeTuP6Zx2fqobzDF+TuMjBBBAAIH4EqDHK77uJ61BAAEEEIikQEInjX/pOT31ULrOCXTdYI4JdC6fI4AAAgjEjQDBK25uJQ1BAAEEEEAAAQQQQAABrwoQvLx6Z6gXAggggAACCCCAAAIIxI0AwStubiUNQQABBBBAAAEEEEAAAa8KELy8emeoFwIINBCBcpUWrlfOnGG6ov0E5Ze53eyDKly72Jpxr6sSz29T+aedrrh9lnLWFqo02MuVFyt/8QT1TXLK6KqMOS+psNTvHH7BluricfV09Hz7XKSiKAQQQACBqAgQvKLCzkURQKChC5QX5+vZp0yQaatOqaM1a9FmlbiNUvqOsvr00ICJr+pQ5+naXFSsos+tP0Vv6OHOpXp1Yj917jNfBXWEp/LiXI244rca9sxhXZ/7vl3GrvxJ+ulfpmnANZnKKTzods2DLs8NRy+3L2gIDkQAAQQQ8LwAwcvzt4gKIoBA3AlY04vPH7NK3yS01bWpHdQoHA0s/1Q5Q4cre2cLDczO0eyMHjo/ofJCCW3UI2OmlmYPVsudC5Q+dImKAnRcmVAycvAUbTrYSZNWPKFhyS3tQhLaXKcZz05Tz4ObNCvtLuUUHQtHK2ov0wVHT7ev9tazFwEEEEAgxgQIXjF2w6guAgjEgYA9vfjTGp+RoeGzHtTQc9yOXtawuy3L9eyOo9I512pQypl+0BLULKW/brSuXbbjRa3d+a8Tj7HC27NjHtYmqyuuVepQDUhsXPOYltfozmHWwlVl72reuOcChreaJ7n4rr6OXm+fi1QUhQACCCAQfQGCV/TvATVAAIGGLJDQVC1aOF1RbkH8W8XbCyqGLrZooeaBiq+69hd6+/39PhevFt7UUl2vuVTNfI6QfqQOV/e0168q2/EHzV7/1QlHROyDqrYEe8UYa1+wzeI4BBBAAAHPChC8PHtrqBgCCCAQqsD/U+nBIxUnf7JdOw4GGkd4VIcOBdinvytvxesV4a3RRbrsfzf1W5mEX12mLnZHWKnyHn1OhYGK83t2ND+M9/ZF05ZrI4AAAgj4EyB4+VPhMwQQQCCmBU5Ts5ZnVLTAGga48qXd8puHSvdp99+taRQbXazre55bs8UH39XrWyvnPPxZoto0C9Bt1uhstW1XOQRxf542+RuyWLNkb7xzrX1f6aXbk9Uu9SntV5n2Lxqgduf/VlmF1YduBnOMN1ioBQIIIIBA+AQIXuGzpWQEEEAgSgLHhwBKR1U4I0Mj1xb5hK9vlD/nCeWVNVXy+Km6rcbzW+U6+Oc/apsztX1twxX1UyW2dwYh/kO79waaoL5ch9+dpzunb9XhYFUOb9XUgXdqZdH/DfaMII9zs31nqd8zhRWzRZoZI+0/b2h88o+q1SWYY6odXuNHsxzAQk3s00G/HJ9vRTuzmanzX6q2REAH9R2/2mdq/2P6PG95tWPMEgKPKr84CpOg1GgPbxBAAIGGK0Dwarj3npYjgEAcCyQkD9W0tPMqW7hfm8akqv+cdyrX7TqogjnDlZl7SBdlZisno71q9mf9W1/s2Vf5S77UuH1bnR3QqlrvmlX623/9rOq8mqf8t95bvlSLpvZXn6lBhC8Tuvr01/QX8/TKX7/0CY01Sz75d+Fo38nXotYzSgv1kr3cwCUaMGaeXthpTZRib1YQW5yp3qljlL3ZeS7vqD7MnWRN7f+A8u2lAcz9vVnXDJ1a7ZgylWy2ZqUcPE4vEb5qpWcnAgggEC4Bgle4ZCkXAQQQiKrAmeox6xnNvfqcylpYv5wvulW971ioF2ZmKD2nXP0Xv6y1E7r4mTSj2jNidbahkZq3+HHVUeUHD6vy6bKqzyp++Jl+++RLWjGopd6aXkf4ckLXWy01aMUrWnFzO59g6FP0Sb8NR/tOuhK1nGANTRwzVONm5+pDp9fRPvobK1Ddqxm7e2rBB3us3rU9Klg3WT1bVc6KWfK6Vm7+yDomU/ft6qpF+Z9U9MB98KImXVX5PSh5Q4/nfuRykK2lKexCAAEEEKgSIHhVUfADAgggEGcCCYnqt2hptfBl9Xr8aZ4mPv1PDc1dpRm92gQINP9Q0afOkMHGSko6O+i1xsq+OWgNbgywJbTTzSZI1Ra+wh66TN3C1L4AzT75j52hiXv03vxeVfbH1q3Qho7TtSbrJiXbz9xZSwJYPZuzx3WvPMaa4GTMSD3VYoJefma0erSpfPauWScNyxqtnnY+s55D2/Cmdvp96O/ka8oZCCCAAALBCxC8grfiSAQQQCD2BEz4enqN5l7lPIdlmrBL2Wm3KKvgYOTbU1v4ikjoinyTQ79igs5o3rwqHDdOvVfTTgjLCWrZ8VK1dy7SYYjuz+h0Yi9ms/OU9LPKnrH/PqTS/zgn8IoAAgggECkBglekpLkOAgggEA2B8mK9OTlTD3zTT7OzbtFFzlrNZYXK7t9XI06YdCMClfQXvghdfuEbtWmrJL97qn14Tlu1r+zcqvZpzR9Pep2zmqfzDgEEEECg/gIEr/obUgICCCDgTYHSd5SVeqOG5/1SC5ZP1sC032vtn+aol/NMkDUB+qYxv/Mz42ETtTizrt/knSb/U8W7v3Te1DERR9VhUo3wlWItIp2i6WF7pqvade0fI9A+30vyHgEEEECgwQsQvBr8VwAABBCIS4HyT5UzdLiyd7bQwJnW8z6V63AltEnTU39cpuEdnAWRrfA1cYqeLao+zXgztWn300qWY9q9+0CAmQp95RrpJ9b6YUH/x2LC1/LHlVm55NgZmY9ruesTafjW0byPUPv8XZrPEEAAAQQarEDQ/z82WCEajgACCMScgLVO1fpHNG+HNc3FOddqUMqZNVvQrIvGL88+Hr6sRZbnzdyo4098/S+d2/a8qkkdAs9UaIr9lw4fdELb6WrXtnXVM0k1L+rnXfkurRxyjxYdOUMXXNBaRxbdoyErd0Vgxr0Itc9Pk/kIAQQQQKDhChC8Gu69p+UIIBC3AkVat2yb3UvV+PLL9Kuai3RVtNoOX/M1sHLYYdlf/qqdVVOX15ywodaZCsu/1p7P/lkpmaRfd/QJeYGMTehK76P0NQd15YMb9P77q/XglQe1xnwW9vAVgfYFajefI4AAAgg0WAGCV4O99TQcAQTiVqDsgPbsMr1QdUwF3+wKDUpt45/h3K66vmPlcMRPtmvHwQDzj5fu0+6/VyS2Rh17qce5zuwd/ou1P60RutbqlYe6qXnzbnrolbWRC1/hbF8tTWcXAggggEDDFSB4Ndx7T8sRQCBeBU49Qy1+YgJQXc9n/Ui/uvRiK55Z209aqFn1/xESkpSa3rliuGHZPu354t9+tcq/2K1ddu5qpq7pvZXor3et+pn+QpezP5LhK1ztc9rCKwIIIIAAAj4C1f+b9dnFWwQQQACBmBRI+IV63VDRk3Xs7ff0twCdVbKepjpy+LD1dyOdc8Nv1KFGaLKG4/W9T2PtXq9ivbzqL3KWVD5u8i/t/FOeNTei1KjjnZrY96zju/z9VFvoco6PWPgKQ/ucNvCKAAIIIICAHwGClx8UPkIAAQSiIlB+WIePBExJNapUXpyrEZ3bKfH8Duo75x2fUPQjJQ8fW/H81v4VmrHkU/8TVpTmae7cP6us1QBNG37xiZNiJLTXbXNHKblRmUrWLdGLNWY+tGJbkVV2zi4rdXXW2Ln/VUdv19/1xqh+lc90VQ4vrNGiam/qG76CdXS1fdXq7+KPZcV7tLuyvICTnBw5rKqRoIcO6bC/r1D5UR06VLnjWLGK9lc90OdibSkKAQQQQKA2AYJXbTrsQwABBMIqUK7Sgg169ZPKWQGt2QWX57znE6L8VaBMX775ojaVmF+ej+rDZ9er0Pf36Ga9NGPVw9aaXcdUOCNN/cevVmGp8xv5MX2et1gTh4zR+p+mK3vVg1XTzfteLSFxqHJW36WLZM18OHqO3iw2dbXqXbhYI9LnqrBlL03KXaBhiXWt+/UTXTbkd8p8qI7Q5VTACV8D+uq2axNPDIXOcfZrqI7WcmKuta9Ghdx5U16kDavftgaMVmxlW5/XMwXH556s+PSgCnKe1zbn/u9/Vdnri3yCtnW/1y/Vy1Vh61O9mvt+EN8zd5pBKQgggAACFQKnfG9tYCCAAAIIRFKgTJ8vTtdVM7YHvmiHydr8SobOD3CE6fEaOXiKFb4a66LMbC2d0MVancrPVl6s/GWv6o31i/XCTmt6+cqtUYc0je57jX57aw+dX2OIoXNEzdfy4nwtz12hnEWbVWJ2tbpKw+9IV1qQ59csza139Xd0auKt9tXRrsZpyvlwjq7cNkEXD82tCmZOWypeL9Wk/BUapqXq22OmPqy5s/JdKw1c8rpm9/T7zfF7Bh8igAACCIQuQPAK3Y4zEUAAAQQQQAABBBBAAIGgBBhqGBQTByGAAAIIIIAAAggggAACoQsQvEK340wEEEAAAQQQQAABBBBAICgBgldQTByEAAIIIIAAAggggAACCIQuQPAK3Y4zEUAAAQQQQAABBBBAAIGgBAheQTFxEAIIIIAAAggggAACCCAQugDBK3Q7zkQAAQQQQAABBBBAAAEEghIgeAXFxEEIIIAAAggggAACCCCAQOgCBK/Q7TgTAQQQQAABBBBAAAEEEAhKgOAVFBMHIYAAAggggAACCCCAAAKhCxC8QrfjTAQQQAABBBBAAAEEEEAgKAGCV1BMHIQAAggggAACCCCAAAIIhC5A8ArdjjMRQAABBBBAAAEEEEAAgaAECF5BMXEQAggggAACCCCAAAIIIBC6AMErdDvORAABBBBAAAEEEEAAAQSCEiB4BcXEQQgggAACCCCAAAIIIIBA6AIEr9DtOBMBBBBAAAEEEEAAAQQQCEqA4BUUEwchgAACCCCAAAIIIIAAAqELELxCt+NMBBBAAAEEEEAAAQQQQCAoAYJXUEwchAACCCCAAAIIIIAAAgiELkDwCt2OMxFAAAEEEEAAAQQQQACBoAQIXkExcRACCCCAAAIIIIAAAgggELoAwSt0O85EAAEEEEAAAQQQQAABBIISIHgFxcRBCCCAAAIIIIAAAggggEDoAgSv0O04EwEEEEAAAQQQQAABBBAISoDgFRQTByGAAAIIIIAAAggggAACoQv8D0Tdg04WVZXFAAAAAElFTkSuQmCC" alt></p>
<p>State what is meant by a frame of reference.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A radio signal is sent to both space stations in (a) from a point midway between them. On receipt of the signal a clock in X and a clock in Y are each set to read zero. A spaceship S travels between X and Y at a speed of 0.750c as measured by X and Y. In the frame of reference of S, station X passes S at the instant that X’s clock is set to zero. A clock in S is also set to zero at this instant.</p>
<p>(i) Calculate the time interval, as measured by the clock in X, that it takes S to travel from X to Y.</p>
<p>(ii) Calculate the time interval, as measured by the clock in S, that it takes S to travel from X to Y.</p>
<p>(iii) Explain whether the clock in X <strong>or</strong> the clock in S measures the proper time.</p>
<p>(iv) Explain why, according to S, the setting of the clock in X and the setting of the clock in Y does not occur simultaneously.</p>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a set of coordinates that can be used to locate events/position of objects;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\frac{{1.80 \times {{10}^{11}}}}{{0.750 \times 3 \times {{10}^8}}}\);<em><br></em>=800(s);<em><br>Award <strong>[2]</strong> for a bald correct answer.<br></em><em><br></em></p>
<p>(ii) \(\gamma = \left( {\frac{1}{{\sqrt {1 - {{0.750}^2}} }} = } \right)1.51\);<br>\({\rm{time}} = \left( {\frac{{800}}{{1.51}} = } \right)530\left( {\rm{s}} \right)\);</p>
<p><em>Watch for ECF from (b)(i) or first marking point in (b)(ii).</em><br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p>(iii) only S’s clock measures proper time;<br>because S’s clock is at both events / events occur at same place in S’s frame;</p>
<p>(iv) according to S, Y moves towards/X moves away from the radio signal;<br>the signal travels at the same speed/at the speed of light in each direction;<br>therefore according to S’s clock the signal reaches Y before it reaches X/X after reaching Y;</p>
<p><em><strong>or</strong></em></p>
<p>S’s frame is different/moving relative to the X and Y frame;<br>the two events/arrival of signals are separated in space;<br>so if simultaneous for XY, cannot be simultaneous for S;</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>Two rockets, A and B, are moving towards each other on the same path. From the frame of reference of the Earth, an observer measures the speed of A to be 0.6<em>c</em> and the speed of B to be 0.4<em>c</em>. According to the observer on Earth, the distance between A and B is 6.0 x 10<sup>8</sup> m.</p>
<p style="text-align: center;"><img 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k/YgQM/tT/904/yIpVqwacdCEAAAhEEFA981VWftHfeeTsIYfjAH3+wII9uhKmqZ0ngkyCQi0DNCOXly5bZR8+fmauvBR3bvavTFi1cWFDZxx/bZudNmRq029fXV1CdbIW+tGZNYEv29NF4eo4dy1Z8KL/74MGgv15PfS+k3pCBGHa0sPrGjQ/YmDFjYrBWHRPjxp8SPJgxbdq0YDkf/VCTIAABCECgugRuXro0WEHpggsusNZp06vbeAyt1fKLuKSJpCXKTQ89uMmkUXKlq664cpiGcU2iPqh+KUlaRprGbWl7z913F21KfdNntFLNCOW4AHR27rLug90FmXt82zabPmOGSSRLNJeaNPES6F9dt86OvHzUnvnBs9ZzrMc+t/D6nCb37d0XTP7cjnlBvZ+8cCAor3rlCvecDZ84qCtprXih7T33/K2NGzeukGo1VUYPalx88cXBDzViuaamhs5AAAIJJyCR3NW1z9rb20ctHK9cxLlexFWu7Vqpv3nTpoI0RWNjY6BFpGP8c/vq1YG4LUXgLl92i/X19duOnd8J7N2/cWOgtfKJ9jA3iXQ5FEczJU4oFwpT4PWZ29ERiOXdnZ2FVh1RrnNXp82d12HXXrcgONbc0mLXLlgQeIZzeYd14s1pnzNUTyfpkqVfDOpJeFcy6eE9XUn7wuqTJ0+uZHMVta14af1Qa11oxHJFUWMcAhCAQEDARfJF7R8zhcTVa8r1Iq56HVOc/ZaukU4p1pko7SONJS0kh6SSdJI+chIWklROOknaaDRTwUJZws3d5u5G9ysMwQi71y+56OJIV73Ke12583OBF2TZkbvdxaa2ug3hNnQ8bENl1U95Y1Um1+0CF8ZaG1hi2YVzsZOhPunT3NwyrKpOLCWJ6KikOoNCfd6ww6qnKzkX3X5Q49T4fOyl3o7R+pJ6hbVeZa0r6ZUrV3kTdb3VDzViua6nkM5DAAJ1QiAskhUGV+9Jy5zqRSNr137FbrjhC6YlUwtJuXRR5t9saaQoB1gxusjbky1PuXSRayFtva50RylJDsBikovh6TOGh+NMnz4j0Ez5+qE+y/MsLZSrbek86UnXRrl0XzH9D5ctWCh7JQk/hRbo417TRSdCDBQ6EIi8BQuCq4BwhzWx+i7XuwtBQYg6cTTxCj/QVcSjW78VQBI05SmkQW17O7LhYlnufV2t+O2Dm7+41Ls9YqtxSJRqAiSWlRSKUWzyMI+WjJOo4cQVUH9/dOzzsWM9QVPqa1j8i5PGH07iFpwwCxYE49Y49+/dV3Tskpbt0cLqSkl8h73E8oc//BFbu/a/8oBf+ARiHwIQgEBMBHTX7nv/+2mbdcGFlgSRHMbiL+LSS0gUlqh1mQtJmbpImkR/syUSpVX0UdLfeheQ+l6MLpJWUn1pnEe3bg3s5dNFroW0VT31w727gYEC/pH+kF756rqvFVD6vSI9PYM6JlPkqi9K0nK5knuSFdKaLYmfdJt0osbmYSJh7ZmtbjH5RQtlF5cavD7rTwRm37dx45B7XAJVk+JxMTox9NGVgfKVNCABe3zbY8P66xOvYxq8QxU0CUhNloP3dh7aVFyguU442VJssJLsaVxRon1Y50r4cixD9LoJF8PBf6bpM4b+M0lgh2OUddWlsYuXe5l1ooujxHKhSVfIulLWFbOunJP6opCmpibTA36f+tRViOVCTw7KQQACECiAwM6dO4MQN929q4el3woY0ogiWi5u0JE0OxDLhbyNNlMXSZPo73RY5EncSmvo77lSMbpIZV0ky9noKU5dJJvSX+6Z9a33N5+w9T4Vus2mjVRfFxr6SPdkSxLD4iLGLv6lCcV4/7692aqVlF+0UM4MMZBY01WTC1rvxZw57QF0iU93scvlHk7yQPuVkefLOy0R6ULa8wVEAByI57sbX8cLTRLn6q8LT9WTaNZJ4t7pQm2VWk5tKc1un2Nhz/cdq1cH4/d++Ljc6+3t6eTwh/88L9d22rTW4D+/rpiTnvSA39lNZ9vNNy8xhZqQIAABCECgPAJ66HvVqpXBXbt6jkkulMLatWuD8MRC1lkO6yLpnUFH3KBTMNyeBLUfL1QXSaDeumxZoFnCIll249RFsidd5B5w33qbcuq5bgmPKe59sXPnoHhlSxLD7uQMl1HEQaauDB8vZb+sF44Imj4eZhDugAtnHffwA88Llwvvq2zzCQ+vQM1p/87Q4f4TbekqJyrpeCFJk+DiM8qW3PhhAV2IzVxlMkMyvKznZ148aOLFqbt7MI7ITwbll5P00F6aUuuHptnuPXsCr7Ie1iBBAAIQgEDpBHbs2GETJ00w3bVLSyrlb0cuz6troGJ0kQS1BKN0iwtI5x+XLnJ7UVvdvZb3V23L8RmXPnINlNmmh6yEHYiZZfRdYa8eoRB1PM68soSyJl2fKJGqE0FJMNzF7nnZBiBbCreQN1WTIte6w5IYl1hUfG45yR+uk51M77QmSG3rxMw8lq1ND1T3MXo5Z9LQEP20ZnOLLgmyp/f+Q/UHjLOXLOzI9u3bg9d0lvIfv7AWaqvUD/b+0C79i09YWsZbW/TpDQQgkDQCy5cvt927O+3ACz8LXvqUtPFFjaeUv5u5/ra7BpKWcW3geVHtK09aRB5ShV5IE/lKXToWly7K1nZmfr6+hsu7l13OycYTq17ouNuI4iTtlcuRKeemPNy6Ey87rpPC7VZiv+jQi8xOqMNS9j54P77vRIyIhKSLTveSehmtWqGnFcNJA5c4Vh2PcdZxXVEJeGY7EtSykZkfthne97WTvU/hY3o4UclXxAgfy7avE14fD1z3cj7ZUe2ojPJVL7MtH6N7mhsbG0aMTf9ZdML4rRtvM9+2mKd589mq5eM//pcfWcOkBis2dr2Wx0TfIAABCIwmAT3Xsm3b4/ZK7yt29OgvRrMrFW/bV4fSsz3FPs+T7W+7Oi1doL/70jmuDfLpIheUCrdUvS+tuXNo/HHpoiGDWXZc33ifsxQblu1hE77ggR/UeMPj93xtZd9DPsJb5fsxeZFVX59M3aeLCenKuFPZQlkxtUqKofFOS8jJRa84Y50UAqaP8vRRUhmJwiVLo1em0EN7sicvr5KWo1FSO6qnJO+v7MiGoCn5VnW9XHDgxEmqPBfEnu9bnwz3Ont+vq3ih9UXfZTUhgtyP1mibGhMErteT2X0cKT64bc3FDste85NZXUBoeMqV2gq9WneQu3XSjmJ5DE2xjo7d9dKl+gHBCAAgUQQULzuU0/tsMOHDydWLGeuDtXa2lr03PnfdtcvMuArWvkDfsXqImkbaR1pBukepUJ1kTzPHhLiOq3QQblu8/4WWk/aTxpFDit36rkt1zeF2ooqJ8GsCw/XeR4a4kyi6pSaV7ZQFgyFSyj5WnYSiRLJHjahY7p1IDhS/PKGSuxllgkPQoBVX2AlDtWOwiU04bpikA2BybQhEawy6ov6EU5RD/GFj2tftzVcmOqEUjv5Xp2ok1dj038KlVf/5Am+f+MDQ+Y1Du+zZ6qObiOonzqmj5Lz1L7KaIzOTWNWe/6fzW0VsvWneRWvrKVvdFspSUlejl+/+mt76KHNRXsBksSBsUAAAhCoFAEJx/vuu9+ef/55e/311yrVzKjYveuuu2JZHUp/t/U3Wt7U8N92/b0PO8+K1UXhu+3SKYXqIhfu6kuu1bJc83iftZWu0XjCD8hF6ZmoCZPDs6WleegdENIxErjSNJ6kadSObBaTxFcRC64HJZrFV32NO40ZGBgYiNtokuwJ/uZNDw47SZIwPl01KxRj9uzZtmHDN4KH3v7q9lV2wZ/NqsvhSSTLyyFvRykegLocNJ2GAAQgMEoEtJ6y3oY6a9asun199RNPbLfe3leCv38rVtwWkNTyqYWsdDFK2Gum2SGvdo73VdRMZ8vsSNke5TLbr/nquzt3BVdtNd/RIjuoh9x+9KMfB7XkXT50qLtIC7VTXOEWiOTamQ96AgEIJJ/AZz/72WBd/meffbauwzC2bPl7mz//atOdVq2fjEgu7NzV81Ue6lpYjfotVdaqF/U77MJ7rlsn4VCIwmvWfkl/bad+KNavX28NjQ213+lQD98+/pb9y0+et3Fjx9n3vvd9fuBCbNiFAAQgUGkCEsvnnHOOLVr0Oevr76vL1TC2bNkSrJfMCkmFny2KOVZ4aSXCHArvRfVKEnpRPdY13dK2bY/Zhm9ssDmz22u6n945hVocPHjQZs260DZt2kRMsoNhCwEIQKDKBPQykuAFT7/ttxnTZ9RNKIZCLw4f/lf+flT5fKm35vAo19uMVai/U6ZMtXHjxhVsXd7c13/zm4LLx1Ww7ze/sZd+cdTGjx9nGzf+XXC7LC7b2IEABCAAgeIJ6LmQvXv32fr1d5s8tA2Nk+zMyWda4/veV7yxMmtMnnxGURaKXf6tKOMUTgQBhHIiprH8Qeza9c/25ptv5jX0u9/9zo689PNgqZn/PPkMO/200/LWiavAySefHLzA5pbltyKQ44KKHQhAAAIxEbjjjtW2dOkXbefOncHn3//9VzFZLszMr3/9qr399s/s3HOm2pQpU2zc+FPyVtSD7YRd5MWU6gKEXqR6+s20sLqe9v3pT39qp552ql04K/p1z6+++is78tKRYLH5yy+faytWrGB1iZSfOwwfAhCAQK0R2LNnj913/3324r+9aGecOdmmfajVJk6cGNlNhV5MmjTJFi9ebCtXroosQyYEWPUixedAeGH1e+75WzvppOGng8IrFAusH57u7m67+tNXB/FcurXGEmwpPnEYOgQgAIEaJaDVK/TSsGeeecZmnj/Tnn32/9gP9z5rvb29kT1+8sn/GfyN0+pPPT09kWXITDeB4coo3SxSNfrMhdUnTJgwNH6FVxx44We253991954401bu3atvfDC/zXdViOeawgTOxCAAAQgUKMEtMybnmN5/vmf2I03LLYjR34eCOKfv/hvJieQJzl9tCxcW9vsRL6Iy8fJtnQChF6Uzq4ua+qK+cYbbwj6Hl5YXd7lxUsW24QJp9vrr71ul/z5x+3W5cvxHNflLNNpCEAAAhDIJKC/cxs2bLD9+/fZH035I/vly78MXjji5XQ8/CIuHENOJt1bPMopmn+9slq3l6IWVtcPQktLi31+0ReCK3C9n53wihSdHAwVAhCAQMIJ6KE9/R3s6nrOPtZ+kc2cOXPYiDNfxCXhTIIAHuWUnAMKtdi+/R9ZWD0l880wIQABCECgdAJ6Ede9995rGzZ8g1WWSseYiJoI5URMY/5BaEF4xWxxKyk/K0pAAAIQgAAE/OE+Xmud7nMBoZzu+Wf0EIAABCAAAQhAAAJZCBCjnAUM2RCAAAQgAAEIQAAC6SaAUE73/DN6CEAAAhCAAAQgAIEsBBDKWcCQDQEIQAACEIAABCCQbgII5XTPP6OHAAQgAAEIQAACEMhCAKGcBQzZEIAABCAAAQhAAALpJoBQTvf8M3oIQAACEIAABCAAgSwEEMpZwJANAQhAAAIQgAAEIJBuAgjldM8/o4cABCAAAQhAAAIQyEIAoZwFDNkQgAAEIAABCEAAAukmgFBO9/wzeghAAAIQgAAEIACBLAQQylnAkA0BCEAAAhCAAAQgkG4CCOV0zz+jhwAEIAABCEAAAhDIQgChnAUM2RCAAAQgAAEIQAAC6SaAUE73/DN6CEAAAhCAAAQgAIEsBBDKWcCQDQEIQAACEIAABCCQbgII5XTPP6OHAAQgAAEIQAACEMhCAKGcBQzZEIAABCAAAQhAAALpJoBQTvf8M3oIQAACEIAABCAAgSwEEMpZwJANAQhAAAIQgAAEIJBuAgjldM8/o4cABCAAAQhAAAIQyEIAoZwFDNkQgAAEIAABCEAAAukmgFBO9/wzeghAAAIQgAAEIACBLAQQylnAkA0BCECgkgT6+/utq6vLDh06VMlmsA0BCEAAAmUQQCiXAY+qEIAABEohIHE8c+b59vnPL7J58zrsC1/4fClmCqqzfNky++j5MwsqS6HsBB56cJOdN2Vqzg8euAgAAA33SURBVI/KlJt27+q0RQsXDpnxdrsPHhzKYwcCEKgegbHVa4qWIAABCEBABObPv9qOHz8efPT9+9//vq1bt87WrFkDoBoncP/GjTZ3XkfFetnZucu6D3ZXzD6GIQCB4gjgUS6OF6UhAAEIlEVA4RZvvvnmMBt/+MMfbNeufx6WxxcIQAACEBh9Agjl0Z8DegABCKSMwNtvvz1ixK+99tqIvEIydGteoRUeFqBQi55jx0ZUvefuu4fKXHXFlaZb/J5UXvXchrZfyvBuZ5a55KKL7fHHtrmJwJ7qhdtxe/v27hsqpx191zEPVchnWzY1RvXJbYb7HzauEAWFLng59dPbUTnV87bD5bQfxS1su5h9D6HwfmgbZho1JvVV9fr6+ob66G3u7uw0HXd7YVtehi0EIBA/AYRy/EyxCAEIQCArgYaGBhs3btyI45MnTx6Rly9DYkmC6/bVq+3Iy0ftmR88az3HeuxzC68PxJbXl/CSgPzJCweCctNnTA+EsQvY5ctuCerJhj47dn4nEGwuxlRfNmVbbajMtQsWBMIvLJbVXueuzqCMyslOY2Oj7e7c5V0Jtvqu/GuvWxD0sxDb6oOErNrOFv6g44sWXh+04WNVP8UoLJZVYPOmTTa3Y97QeI8d6zFxiCOJtS48ps+YEdj3PksEqy+eMsckZgrrEBvVufmLS71owPX+jQ8MjV/cw7aGCrIDAQjESgChHCtOjEEAAhDITaC1tdXOPPPMYYVOPvlku+2224bl5fsiMSaxJDElwanU3NJiX133tUBQSgiGk8S0BJjSV9etC8pu3vRgIFRlS+LZkwSehKbKKUmQSYTKttpQUrsSdQ9ltDOnfU5QRuVkZ3b7nEB0B5VO/COBrnz1pxjbErZK2WKE158Qofdt3Dg0Vu+neEiYepIN56Z+qt/iEC7jZcPbTM+7e3jDD0w+vm1bwEDMPak9MfGLk6H8PGPycjcvXRrw1PdstrwsWwhAID4CCOX4WGIJAhCAQF4CWvFCD+6F0xVXXGGf+tSnw1l5911wzZ7TPqysRJ8EmTy7nly0+ndtB4VhdyAotS9vpz6ZnleVVVtRNqZPnxEIaO+LyjY3Dwppb6ujY14gPmVbSVuJbuUrFWM7LOaDyhn/7N+7LxD8fkHgh+fMaR/WB+Vn9jOzjtfN3MqbLW9v5kcXFp50gSHvsHt9dTGgcBcJ8cyUb0xePrNcof31+mwhAIHSCLDqRWncqAUBCECgaAJaBu7pp5+2MWPGDKu7Y8cO27lzp33lK//NFi1aNOxYti/9/YPe0cbGhhFFJKIkRj1FiSrlyXuqz6NbtwaeXXmHJeYk7CSer11wXeC97D9RTt7TqKTj2VLg/by7xbSag/a1lejWvlI5tsNt+lgaTnjNw8d8/Crj++Hjce+L/WA4ybGAoy5eFALyeNwNYQ8CEKg4AYRyxRHTAAQgAAGzW265JVgGTiwGBgZGINHKF3feObg8XCFiuaFhMIyir69/hC0JQonRXMlFowtHhQncfiJSQF5lhQ8oRlkhEhKfsqeY42zJPcZRxzvmdQTeVbUpr6+HPKhsIba7u0d6YjPb0Tj0iRLtalepJQ+TTJulfhc39UNeZucrW7oQCX8v1T71IACB6hEg9KJ6rGkJAhBIKYGenh7bseMpkxjOlySW9da+fEkeX6X9+/YOKyqPsDya4Vv1+u5i0Qsr5EEiOCoFcc8LBh+0U121FWVDnmfF5mbazrQ5t6MjKHPrsmXBVt89lWvb7Wir8WgN4sz+7DvBKMwkXC/uffVBFxZhUaw+RYn4uNvGHgQgEC8BhHK8PLEGAQhAYASBf/qnHSPycmU89dRTuQ4Hx4Lb+dctCGKKfeUJidkvrbkzEGnhB8kk0lykqrKWQpNou2P16kBUSuwqz5PsaDkytaGPHiRTkg0dU1Kb8jwvWbp0mCAMDmb843ai4pHLtR1uSuNRCo9VfZS3WzzyednDtsrZHxTsB4N2ZUfMvE+ZIj6zHRfXKuesM8vwHQIQqB4BhHL1WNMSBCCQUgJ79uwpauTbtj1WUHk9NCYBKM+u4oe1zm5zS7P9w9ZvDROvLlQliD3O+NGt3xryempfyVdwcDue72EXCpPwtXzVptqW97mQ5F5kxeqGUxy23Z5seZ99rAohKaafbivbNtuqF2KnB/aUNC/ylHtZ5WsOFHKiC5RcYll8xFn9V99JEIDA6BIYMxAVLDe6faJ1CEAAAoki0NR0dt7xnHTSSfbuu+8OlTt8+F9Nay6TIAABCEBg9AjgUR499rQMAQikjMApp5ySdcQ6JrGsNGHCBNMyciQIQAACEBhdAgjl0eVP6xCAQAoInHvuucEox47NvtCQjrlHWdu2trYUkGGIEIAABGqbAEK5tueH3kEAAgkg8OUv/7Xp7Xu///3vs45Gx1RG6eqrr85ajgMQgAAEIFA9Agjl6rGmJQhAIKUELr30UrvuuuuGQiuiMMiLrOXjzjrrLFuz5s6oIuRBAAIQgECVCfAwX5WB0xwEIJBeAv5mvmwExo8fbwcOvMBDfNkAkQ8BCECgygQQylUGTnMQgEC6CeRaAWPGjBm2e3dxS8mlmyajhwAEIFBZAoReVJYv1iEAAQgMI+ArWwzLPPHljTfeiMomDwIQgAAERokAQnmUwNMsBCCQTgK51kb+4Ac/mE4ojBoCEIBAjRJAKNfoxNAtCEAgmQQmTpyYdWCnn3561mMcgAAEIACB6hNAKFefOS1CAAIQCAjk8i6DCAIQgAAERp8AQnn054AeQAACKSVw2mmnBW/hS+nwGTYEIACBmieAUK75KaKDEIBAUgnoVdXvvPNOUofHuCAAAQjUPQGEct1PIQOAAATqlcCpp55qb731Vr12n35DAAIQSDwBhHLip5gBQgACtUSAuORamg36AgEIQCA3AYRybj4chQAEIFAxAlOmTK2YbQxDAAIQgED5BBDK5TPEAgQgAIGCCbzzzh+Gyk6YwHJwQzDYgQAEIFCDBBDKNTgpdAkCEEgugf/4j98nd3CMDAIQgEDCCCCUEzahDAcCEKgfAqeccopNmjSpfjpMTyEAAQikjABCOWUTznAhAIHaITB58mRrbGysnQ7REwhAAAIQGEYAoTwMB18gAAEIVJZAeNUL7Ye/V7ZlrEMAAhCAQLEEEMrFEqM8BCAAgTIITJ363koXM2b8iZ111llD1s4999yhfXYgAAEIQGD0CYwZGBgYGP1u0AMIQAAC6SDQ09NjV155hc2cOdO++c3/Yf39/XbppR+3D3zgj+3BBx/Ew5yO04BRQgACdUIAoVwnE0U3IQCB6hJoajq7ug1WqbXe3leq1BLNQAACEKh/AoRe1P8cMgIIQAACEIAABCAAgQoQQChXAComIQABCEAAAhCAAATqnwBCuf7nkBFAAAIQgAAEIAABCFSAAEK5AlAxCQEIQAACEIAABCBQ/wQQyvU/h4wAAhCAAAQgAAEIQKACBBDKFYCKSQhAAAIQgAAEIACB+ieAUK7/OWQEEIAABCAAAQhAAAIVIIBQrgBUTEIAAhCAAAQgAAEI1D8BhHL9zyEjgAAEIAABCEAAAhCoAAGEcgWgYhICEIAABCAAAQhAoP4JjK3/ITACCECgXgn09/fboUOH6rX7ddnvrq6umut3Q0ODtba21ly/6BAEIACBMQMDAwNggAAEqkcgn1Dp6emx3t6egju0f395wufQoW777W9/W3B7cRecNm2aNTQ0xm22bHvPPVce17I7UCEDF17YViHLpZvt7++zw4cPl26gzJpNTU3W1NRcspXGxuKEflvb7JxtceGQEw8HIVBVAgjlquKmsXoikCloowSs8np6ekcMK5f4LEQYzp5duJiZNq3VGhtLF5oSCc3NpYuEEYMnAwJ1RkB3NXR3o9QU9duQy1a+i1tdKPf2jvxdkc1sor65eeT/48zfBgR4rlnhGASiCSCUo7mQmyAC4dv74T9ofX3Db/tnittMQRvlNRr8wzN9BC3E5wgkZEAAAjEQyCbqu7r2j7CeKcgzBXim6A5foIdFdltb4RfuIzpBBgTqnABCuc4nMO3d9z8aErkSxGEPb/jWud9uzhS74VugiNu0n02MHwLpIuC/nxp1X5/CX957XsBFdjgsZtKkSdbaOugYUEy5fk8VsqI7Uvx+puvcSdNoEcppmu06HatCINwTrB/2QU/wYFyte0TCtx1d/OqHXB5fEgQgAAEIlE9g8Hd4MCTEPdj5fpPlmZaQ5mHN8vljYXQIIJRHhzutRhBwQawf3sHPoBj2EAjdFvRQB7wXEQDJggAEIDDKBPTbrbt7EtIe3uYhH+7Y0G85AnqUJ4rmCyaAUC4YFQXjJKAf0u3b//GEID4UPPEuQeyeB35E46SNLQhAAAKjT8CdIRLOCu1wAa3QOHmc9bnmmmtGv6P0AAIhAgjlEAx2q0dAP5gSyoM/jtONh0Wqx56WIAABCNQKAX/YWh5ohXasXLmKVXhqZXLoR0AAocyJAAEIQAACEIAABCAAgQgCvMI6AgpZEIAABCAAAQhAAAIQQChzDkAAAhCAAAQgAAEIQCCCAEI5AgpZEIAABCAAAQhAAAIQQChzDkAAAhCAAAQgAAEIQCCCAEI5AgpZEIAABCAAAQhAAAIQQChzDkAAAhCAAAQgAAEIQCCCAEI5AgpZEIAABCAAAQhAAAIQQChzDkAAAhCAAAQgAAEIQCCCAEI5AgpZEIAABCAAAQhAAAIQQChzDkAAAhCAAAQgAAEIQCCCAEI5AgpZEIAABCAAAQhAAAIQ+P8byjD8QNvjdAAAAABJRU5ErkJggg=="></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define frame of reference.</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>Calculate, according to the observer on Earth, the time taken for A and B to meet.</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>Identify the terms in the formula.</p>
<p style="text-align: center;"><em>u′</em> = \(\frac{{u - v}}{{1 - \frac{{uv}}{{{c^2}}}}}\)</p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, according to an observer in A, the velocity of B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, according to an observer in A, the time taken for B to meet A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce, without further calculation, how the time taken for A to meet B, according to an observer in B, compares with the time taken for the same event according to an observer in A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a co-ordinate system in which measurements «of distance and time» can be made</p>
<p><em>Ignore any mention to inertial reference frame.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>closing speed = <em>c</em></p>
<p>2 «s»</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>u</em> and <em>v</em> are velocities with respect to the same frame of reference/Earth <em><strong>AND</strong> u′</em> the relative velocity</p>
<p><em>Accept 0.4c and 0.6c for u and v</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{ - 0.4 - 0.6}}{{1 + 0.24}}\)</p>
<p>«–» 0.81<em>c</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma \) = 1.25</p>
<p>so the time is <em>t </em>= 1.6 «s»</p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>gamma is smaller for B</p>
<p>so time is greater than for A</p>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativity.</p>
<p>Carrie is in a spaceship that is travelling towards a star in a straight-line at constant velocity as observed by Peter. Peter is at rest relative to the star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Carrie measures her spaceship to have a length of 100m. Peter measures Carrie’s spaceship to have a length of 91m.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Explain why Carrie measures the proper length of the spaceship.</p>
<p>(ii) Show that Carrie travels at a speed of approximately 0.4 c relative to Peter.</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>According to Carrie, it takes the star ten years to reach her. Using your answer to (a)(ii), calculate the distance to the star as measured by Peter.</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>According to Peter, as Carrie passes the star she sends a radio signal. Determine the time, as measured by Carrie, for the message to reach Peter.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) proper length is measured by observer at rest relative to object / Carrie is at rest relative to spaceship;</p>
<p>(ii) \(\gamma = \left( {\frac{{100}}{{91}} = } \right)1.1\);<br>evidence of algebraic manipulation <em>e.g. </em>\(\frac{{{v^2}}}{{{c^2}}} = 1 - \frac{1}{{{{1.1}^2}}}\) to give <em>v</em>=0.42c;<br>≈0.4c</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>travel time measured by Peter = (10×γ=)11years;<br>4.6ly <em><strong>or</strong></em> 4.4ly <em>(if 0.4 c used)</em>;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>moves away at 0.42 c so is 4.2ly away when signal emitted; <em>(allow ECF from (a)(ii))</em><br>signal travel time <em>t</em> where <em>ct</em>=4.2+0.42<em>ct</em>;<br>7.2y <em><strong>or</strong></em> 7y <em>(if 0.4 c used)</em>;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>A source of light S and a detector of light D are placed on opposite walls of a box as shown in the diagram.</p>
<p><img 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" alt></p>
<p>According to an observer in the box the distance <em>L</em> between S and D is 6.0m. The box moves with speed <em>v</em>= 0.80c relative to the ground.</p>
<p>Consider the following events.</p>
<p style="padding-left: 30px;">Event 1: a photon is emitted by S towards D<br>Event 2: the photon arrives at D</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the context of the theory of relativity, state what is meant by an event.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate the time interval <em>t</em> between event 1 and event 2 according to an observer in the box.</p>
<p>(ii) According to an observer on the ground the time interval between event 1 and event 2 is <em>T</em>. One student claims that \(T = \frac{t}{{\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }}\) and another that \(T = t\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} \).</p>
<p>Explain why both students are wrong.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Relative to an observer on the <strong>ground</strong>,</p>
<p>(i) calculate the distance between S and D.</p>
<p>(ii) state the speed of the photon leaving S.</p>
<p>(iii) state an expression for the distance travelled by detector D in the time interval <em>T</em> (<em>T</em> is the interval in (b)(ii)).</p>
<p>(iv) determine <em>T</em>, using your answers to (c)(i), (ii) and (iii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a point in spacetime / something happening at a particular time and a particular point in space;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(t = \frac{{6.0}}{{3.0 \times {{10}^8}}} = 2.0 \times {10^{ - 8}}{\rm{s}}\);</p>
<p>(ii) for either formula to be used one of the time intervals must be a proper time interval;<br>the two events occur at different points in space and so neither observer measures a proper time interval;<br>the proper time interval is that of the photons;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\gamma = \frac{1}{{\sqrt {1 - {{0.80}^2}} }} = \frac{5}{3} = 1.67\);<br>\(l = \frac{L}{\gamma } = \frac{{6.0}}{{1.67}} = 3.6{\rm{m}}\);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p>(ii) <em>c</em>;</p>
<p>(iii) <em>vT <strong>or</strong></em> 0.80<em>cT</em>;</p>
<p>(iv) <em>cT</em>=0.80<em>cT</em>+3.6;<br>\(T = \frac{{3.6}}{{0.20 \times 3.0 \times {{10}^8}}} = 6.0 \times {10^{ - 8}}{\rm{s}}\);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about length contraction and simultaneity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>proper length</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A spaceship is travelling to the right at speed 0.75 c, through a tunnel which is open at both ends. Observer A is standing at the centre of one side of the tunnel. Observer A, for whom the tunnel is at rest, measures the length of the tunnel to be 240 m and the length of the spaceship to be 200 m. The diagram below shows this situation from the perspective of observer A.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">Observer B, for whom the spaceship is stationary, is standing at the centre of the spaceship.</p>
<p style="text-align: left;">(i) Calculate the Lorentz factor, γ, for this situation.</p>
<p style="text-align: left;">(ii) Calculate the length of the tunnel according to observer B.</p>
<p style="text-align: left;">(iii) Calculate the length of the spaceship according to observer B.</p>
<p style="text-align: left;">(iv) According to observer A, the spaceship is completely inside the tunnel for a short time. State and explain whether or not, according to observer B, the spaceship is ever completely inside the tunnel.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two sources of light are located at each end of the tunnel. The diagram below shows this situation from the perspective of observer A.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">According to observer A, at the instant when observer B passes observer A, the two sources of light emit a flash. Observer A sees the two flashes simultaneously. Discuss whether or not observer B sees the two flashes simultaneously.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the length of an object as measured by an observer who is at rest relative to the object;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\gamma = \frac{1}{{\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }} = \frac{1}{{\sqrt {1 - {{0.75}^2}} }} = 1.5\);</p>
<p>(ii) \(L = \frac{{{L_0}}}{\gamma } = \frac{{240}}{{1.5}} = 160{\rm{m}}\);<br><br>(iii) \({L_0} = \gamma L = 1.5 \times 200 = 300{\rm{m}}\); </p>
<p>(iv) the spaceship is never completely inside the tunnel;<br>because (according to observer B) the spaceship is longer than the tunnel;<br><em>Apply ECF in all parts of question (b)</em>.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>observer B will not see the two flashes simultaneously;<br>according to B, light 2 is moving to the left/towards observer B;<br>since the speed of light is the same for both sources;<br>the flash from light 2 reaches B before the flash from light 1;</p>
<p><strong><em>or</em></strong></p>
<p>according to B, the two flashes arrive at A simultaneously;<br>according to B, A is moving to the left/away from light 2;<br>since light from both sources moves with the same speed;<br>for the flashes to be received by A at the same time, the flash from light 2 must be emitted first; <br><em>Accept any equivalent discussion.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A spaceship S leaves the Earth with a speed <em>v </em>= 0.80<em>c</em>. The spacetime diagram for the Earth is shown. A clock on the Earth and a clock on the spaceship are synchronized at the origin of the spacetime diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the angle between the worldline of S and the worldline of the Earth.</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>Draw, on the diagram, the <em>x′</em>-axis for the reference frame of S.</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>An event Z is shown on the diagram. Label the co-ordinates of this event in the reference frame of S.</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>angle = tan<sup>–1 </sup>«\(\frac{{0.8}}{1}\)» = 39 «<sup>o</sup>» <em><strong>OR</strong></em> 0.67 «rad»</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>adds <em>x</em>′-axis as shown</p>
<p><img src="data:image/png;base64,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"></p>
<p><em>Approximate same angle to v = c as for ct′. </em></p>
<p><em>Ignore labelling of that axis.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>adds two lines parallel to <em>ct</em>′ and <em>x</em>′ as shown indicating coordinates</p>
<p><img 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"></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>An observer on Earth watches rocket A travel away from Earth at a speed of 0.80<em>c</em>. The spacetime diagram shows the worldline of rocket A in the frame of reference of the Earth observer who is at rest at <em>x </em>= 0.</p>
<p style="text-align: left;"><img 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"></p>
<p>Another rocket, B, departs from the same location as A but later than A at <em>ct </em>= 1.2 km according to the Earth observer. Rocket B travels at a constant speed of 0.60<em>c </em>in the opposite direction to A according to the Earth observer.</p>
</div>
<div class="specification">
<p>Rocket A and rocket B both emit a flash of light that are received simultaneously by the Earth observer. Rocket A emits the flash of light at a time coordinate <em>ct </em>= 1.8 km according to the Earth observer.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the spacetime diagram the worldline of B according to the Earth observer and label it B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce, showing your working on the spacetime diagram, the value of <em>ct </em>according to the Earth observer at which the rocket B emitted its flash of light.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain whether or not the arrival times of the two flashes in the Earth frame are simultaneous events in the frame of rocket A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the velocity of rocket B relative to rocket A.</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>straight line with negative gradient with vertical intercept at <em>ct</em> = 1.2 «km»</p>
<p>through (–0.6, 2.2) <em>ie </em>gradient = –1.67</p>
<p><img src="images/Schermafbeelding_2018-08-11_om_10.02.40.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/05.a/M"></p>
<p> </p>
<p><em>Tolerance: Allow gradient from interval –2.0 to –1.4, (at ct =</em> <em>2.2, x from interval 0.5 to 0.7).</em></p>
<p><em>If line has positive gradient from interval 1.4 to 2.0 and intercepts at ct =</em> <em>1.2 km then allow </em><strong><em>[1 max]</em></strong><em>.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line for the flash of light from A correctly drawn</p>
<p>line for the flash of light of B correctly drawn</p>
<p>correct reading taken for time of intersection of flash of light and path of B, <em>ct =</em> 2.4 <strong>«</strong>km<strong>»</strong></p>
<p><img src="images/Schermafbeelding_2018-08-11_om_10.10.53.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/05.b/M"></p>
<p> </p>
<p><em>Accept values in the range: 2.2 to 2.6.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the two events take place in the same point in space at the same time</p>
<p><span>so</span> all observers will observe the two events to be simultaneous / <span>so</span> zero difference</p>
<p> </p>
<p><em>Award the second MP only if the first MP is awarded.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(u' = \frac{{ - 0.6 - 0.8}}{{1 - ( - 0.6) \times 0.8}}\)</p>
<p>= <strong>«</strong>–<strong>»</strong>0.95<strong> «</strong><em>c</em><strong>»</strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A rocket of proper length 450 m is approaching a space station whose proper length is 9.0 km. The speed of the rocket relative to the space station is 0.80<em>c</em>.</p>
<p style="text-align: center;"><img 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"></p>
<p>X is an observer at rest in the space station.</p>
<p> </p>
</div>
<div class="specification">
<p>Two lamps at opposite ends of the space station turn on at the same time according to X. Using a Lorentz transformation, determine, according to an observer at rest in the rocket,</p>
</div>
<div class="specification">
<p>The rocket carries a different lamp. Event 1 is the flash of the rocket’s lamp occurring at the origin of <strong>both</strong> reference frames. Event 2 is the flash of the rocket’s lamp at time<em> ct'</em> = 1.0 m according to the rocket. The coordinates for event 2 for observers in the space station are <em>x</em> and <em>ct</em>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_07.57.21.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/05c"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the length of the rocket according to X.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A space shuttle is released from the rocket. The shuttle moves with speed 0.20<em>c</em> <strong>to the right</strong> according to X. Calculate the <strong>velocity</strong> of the shuttle relative to the rocket.</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>the time interval between the lamps turning on.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>which lamp turns on first.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram label the coordinates <em>x</em> and <em>ct</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain whether the <em>ct</em> coordinate in (c)(i) is less than, equal to <strong>or </strong>greater than 1.0 m.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the value of <em>c</em> <sup>2</sup><em>t </em><sup>2</sup> – <em>x </em><sup>2</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the gamma factor is \(\frac{5}{3}\) <em><strong>or</strong></em> 1.67</p>
<p><em>L</em> = \(\frac{{450}}{{\frac{5}{3}}}\) = 270 «m»</p>
<p> </p>
<p><em>Allow ECF from MP1 to MP2.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>u'</em> = «\(\frac{{u - v}}{{1 - \frac{{uv}}{{{c^2}}}}} = \)» \(\frac{{0.20c - 0.80c}}{{1 - 0.20 \times 0.80}}\)<br><em><strong>OR<br></strong></em>0.2<em>c = </em>\( = \frac{{0.80c + u'}}{{1 + 0.80u'}}\)</p>
<p><em>u'</em> = «–»0.71<em>c</em></p>
<p> </p>
<p><em>Check signs and values carefully.</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><em>Δt'</em> = «\(\gamma \left( {\Delta t - \frac{{v\Delta x}}{{{c^2}}}} \right) = \)» \(\frac{5}{3} \times \left( {0 - \frac{{\left( {0.80c \times 9000} \right)}}{{{c^2}}}} \right)\)</p>
<p><em>Δt' = </em>«–»4.0 x 10<sup>–5</sup> «s»</p>
<p> </p>
<p><em>Allow ECF for use of wrong \(\gamma \) from (a)(i).</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>lamp 2 turns on first</p>
<p><em>Ignore any explanation</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>x</em> coordinate as shown</p>
<p><em>ct</em> coordinate as shown</p>
<p><img src="data:image/png;base64,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"></p>
<p> </p>
<p><em>Labels must be clear and unambiguous.</em></p>
<p><em>Construction lines are optional.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«in any other frame» <em>ct</em> is greater</p>
<p>the interval <em>ct'</em> = 1.0 «m» is proper time<br><em><strong>OR</strong></em><br><em>ct</em> is a dilated time<br><em><strong>OR</strong></em><br><em>ct</em> = \(\gamma \)<em>ct'</em> «= \(\gamma \)»</p>
<p> </p>
<p><em>MP1 is a statement</em></p>
<p><em>MP2 is an explanation</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of <em>c</em> <sup>2</sup><em>t </em><sup>2</sup> – <em>x </em><sup>2<em> </em></sup>= <em>c</em> <sup>2</sup><em>t' </em><sup>2</sup> – <em>x'</em> <sup>2</sup><br><br><em>c</em> <sup>2</sup><em>t </em><sup>2</sup> – <em>x </em><sup>2<em> </em></sup>= 1<sup>2</sup> – 0<sup>2 </sup>= 1 «m<sup>2</sup>»</p>
<p> </p>
<p><em>for MP1 equation must be used.</em></p>
<p><em>Award <strong>[2]</strong> for correct answer that first finds x (1.33 m) and ct (1.66 m)</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.iii.</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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>An electron X is moving parallel to a current-carrying wire. The positive ions and the wire are fixed in the reference frame of the laboratory. The drift speed of the free electrons in the wire is the same as the speed of the external electron X.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>frame of reference.</em></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>In the reference frame of the laboratory the force on X is magnetic.</p>
<p>(i) State the nature of the force acting on X in this reference frame where X is at rest.</p>
<p>(ii) Explain how this force arises.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a coordinate system<br><em><strong>OR<br></strong></em>a system of clocks and measures providing time and position relative to an observer</p>
<p><em>OWTTE</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i</p>
<p>electric<br><em><strong>OR<br></strong></em>electrostatic</p>
<p> </p>
<p>ii</p>
<p>«as the positive ions are moving with respect to the charge,» there is a length contraction</p>
<p>therefore the charge density on ions is larger than on electrons</p>
<p>so net positive charge on wire attracts X</p>
<p><em>For candidates who clearly interpret the question to mean that X is now at rest in the Earth frame accept this alternative MS for bii<br>the magnetic force on a charge exists only if the charge is moving <br>an electric force on X , if stationary, only exists if it is in an electric field <br>no electric field exists in the Earth frame due to the wire <br>and look back at b i, and award mark for there is no electric or magnetic force on X</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 special relativity, simultaneity and length contraction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the two postulates of special relativity may be stated as:</p>
<p style="padding-left: 30px;">“The laws of physics are the same for all observers in inertial reference frames.”</p>
<p>State</p>
<p>(i) what is meant by an inertial frame of reference.</p>
<p>(ii) the other postulate of special relativity.</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>In a thought experiment to illustrate the concept of simultaneity, Vladimir is standing on the ground close to a straight, level railway track. Natasha is in a railway carriage that is travelling along the railway track with constant speed <em>v</em> in the direction shown.</p>
<p><img 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" alt></p>
<p>Natasha is sitting on a chair that is equidistant from each end of the carriage. At either end of the carriage are two clocks C<sub>1</sub> and C<sub>2</sub>. Next to Natasha is a switch that, when operated, sends a signal to each clock. The clocks register the time of arrival of the signals. At the instant that Natasha and Vladimir are opposite each other, Natasha operates the switch. According to Natasha, C<sub>1</sub> and C<sub>2</sub> register the same time of arrival of each signal.</p>
<p>Explain, according to Vladimir, whether or not C<sub>1</sub> and C<sub>2</sub> register the same time of arrival for each signal.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The speed <em>v</em> of the carriage is 0.70c. Vladimir measures the length of the table at which Natasha is sitting to be 1.0 m.</p>
<p>(i) Calculate the length of the table as measured by Natasha.</p>
<p>(ii) Explain which observer measures the proper length of the table.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) (a reference frame) in which Newton’s first law holds true/that is not accelerating/that is moving with constant velocity;</p>
<p>(ii) the speed of light in a vacuum/free space is the same for all inertial observers;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>Look for these main points:</em><br>signal from switch travels at same speed <em>c</em> to each lamp;<br>but during signal transfer C<sub>1</sub> moves closer to/C<sub>2</sub> moves away from source of signal;<br>since speed of light is independent of speed of source, signal reaches C<sub>1</sub> before C<sub>2</sub>/C<sub>2</sub> after C<sub>1</sub>;<br>according to Vladamir C<sub>1</sub> registers arrival of signal before C<sub>2</sub>/C<sub>2</sub> registers arrival of signal after C<sub>1</sub>;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\gamma = \frac{1}{{\sqrt {1 - {{\left( {0.70} \right)}^2}} }} = 1.4\);<br><em>L</em><sub>0</sub>=γ<em>L</em>;<br>=1.4m;</p>
<p>(ii) Natasha<br>since proper length is defined as the length of the object measured by the observer at rest with respect to the object;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>When a spaceship passes the Earth, an observer on the Earth and an observer on the spaceship both start clocks. The initial time on both clocks is 12 midnight. The spaceship is travelling at a constant velocity with <em>γ</em> = 1.25. A space station is stationary relative to the Earth and carries clocks that also read Earth time.</p>
</div>
<div class="specification">
<p>Some of the radio signal is reflected at the surface of the Earth and this reflected signal is later detected at the spaceship. The detection of this signal is event B. The spacetime diagram is shown for the Earth, showing the space station and the spaceship. Both axes are drawn to the same scale.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the velocity of the spaceship relative to the Earth.</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 spaceship passes the space station 90 minutes later as measured by the spaceship clock. Determine, for the reference frame of the Earth, the distance between the Earth and the space station.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>As the spaceship passes the space station, the space station sends a radio signal back to the Earth. The reception of this signal at the Earth is event A. Determine the time on the Earth clock when event A occurs.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Construct event A and event B on the spacetime diagram.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate, using the spacetime diagram, the time at which event B occurs for the spaceship.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>0.60<em>c</em></p>
<p><strong><em>OR</em></strong></p>
<p>1.8 × 10<sup>8</sup> <strong>«</strong>m s<sup>–1</sup><strong>»</strong></p>
<p> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p>time interval in the Earth frame = 90 × <em>γ</em> = 112.5 minutes</p>
<p><strong>«</strong>in Earth frame it takes 112.5 minutes for ship to reach station<strong>»</strong></p>
<p>so distance = 112.5 × 60 × 0.60<em>c</em></p>
<p>1.2 × 10m<sup>12</sup> <strong>«</strong>m<strong>»</strong></p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>Distance travelled according in the spaceship frame = 90 × 60 × 0.6<em>c</em></p>
<p>= 9.72 × 10<sup>11</sup> <strong>«</strong>m<strong>»</strong></p>
<p>Distance in the Earth frame <strong>«</strong>= 9.72 × 10<sup>11</sup> × 1.25<strong>»</strong> = 1.2 × 10<sup>12</sup> <strong>«</strong>m<strong>»</strong></p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>signal will take <strong>«</strong><span class="Apple-converted-space">112.5 × 0.60 =</span><strong>»</strong> 67.5 <strong>«</strong><span class="Apple-converted-space">minutes</span><strong>»</strong> to reach Earth <strong>«</strong>as it travels at <em>c</em><strong>»</strong></p>
<p><strong>OR</strong></p>
<p>signal will take <strong>«</strong><span class="Apple-converted-space">\(\frac{{1.2 \times {{10}^{12}}}}{{3 \times {{10}^8}}}\) =</span><strong>»</strong> 4000 <strong>«</strong><span class="Apple-converted-space"><em>s</em></span><strong>»</strong></p>
<p> </p>
<p>total time <strong>«</strong><span class="Apple-converted-space">= 67.5 + 112.5</span><strong>»</strong> = 180 minutes <strong><em>or </em></strong>3.00 h or 3:00am</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line from event E to A, upward and to left with A on <em>ct </em>axis (approx correct)</p>
<p>line from event A to B, upward and to right with B on <em>ct' </em>axis (approx correct)</p>
<p>both lines drawn with ruler at 45 (judge by eye)</p>
<p> </p>
<p><em>eg:</em></p>
<p><img src="images/Schermafbeelding_2018-08-13_om_06.36.34.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/04.d.i/M"></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p><strong>«</strong>In spaceship frame<strong>»</strong></p>
<p>Finds the ratio \(\frac{{OB}}{{OE}}\) (or by similar triangles on <em>x </em>or <em>ct </em>axes), value is approximately 4</p>
<p>hence time elapsed ≈ 4 × 90 mins ≈ 6h <strong>«</strong>so clock time is ≈ 6:00<strong>»</strong></p>
<p> </p>
<p><strong><em>Alternative 1:</em></strong></p>
<p><img src="images/Schermafbeelding_2018-08-13_om_06.33.50.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/04.d.ii/M"></p>
<p><em>Allow similar triangles using </em><em>x</em><em>-axis or ct-axis, such as </em>\(\frac{{distance\,2}}{{distance\,1}}\)<em> from diagrams below</em></p>
<p><em><img src="images/Schermafbeelding_2018-08-13_om_06.52.27.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/04.d.ii_02/M"></em></p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p><strong>«</strong>In Earth frame<strong>»</strong></p>
<p>Finds the ratio</p>
<p>\(\frac{{ct{\text{ coordinate of B}}}}{{ct{\text{ coordinate of A}}}}\), value is approximately 2.5</p>
<p>hence time elapsed ≈ \(\frac{{2.5 \times 3{\text{h}}}}{{1.25}}\) ≈ 6h</p>
<p><strong>«</strong>so clocktime is ≈ 6:00<strong>»</strong></p>
<p> </p>
<p> </p>
<p><strong><em>ALTERNATIVE 2:</em></strong></p>
<p> <img src="images/Schermafbeelding_2018-08-13_om_06.53.38.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/04.d.ii_03/M"></p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by an inertial frame of reference.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A spaceship travels from space station Alpha to space station Zebra at a constant speed of 0.90c relative to the space stations. The distance from Alpha to Zebra is 10ly according to space station observers. At this speed <em>γ</em>=2.3.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Calculate the time taken to travel between Alpha and Zebra in the frame of reference of an observer</p>
<p>(i) on the Alpha space station.</p>
<p>(ii) on the spaceship.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain which of the time measurements in (b)(i) and (b)(ii) is a proper time interval.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The spaceship arrives at Zebra and enters an airlock at constant speed. O is an observer at rest relative to the airlock. Two lamps P and Q emit a flash simultaneously according to the observer S in the spaceship. At that instant, O and S are opposite each other and midway between the lamps.</p>
<p><img 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" alt></p>
<p>Discuss whether the lamps flash simultaneously according to observer O.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a co-ordinate system (in which measurements of distance and time can be made);<br>which is not accelerating;<br>in which Newton’s laws are valid;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\left( {\frac{{10}}{{0.90{\rm{c}}}} = } \right)11{\rm{yr}}\);<br>\(\left( { = 3.5 \times {{10}^8}{\rm{s}}} \right)\);<br><em>This is a question testing units for this option. Do not award mark for an incorrect or missing unit.</em></p>
<p>(ii) distance according to spaceship observer \( = \frac{{10}}{{2.3}}\left( { = 4.3{\rm{ly}}} \right)\);<br>so time for spaceship \( = \frac{{4.3}}{{0.90}} = 4.8\left( {{\rm{yr}}} \right)\);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>between two events occurring at the same point in space / shortest time measured;<br>so proper time interval measured by observer on spaceship;<br><em>Do not award second marking point unless a reason has been attempted.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>speed of light is the same for both observers O and S / events simultaneous in stationary reference frame are not (necessarily) simultaneous in moving reference frame;<br>S is moving so PS will be longer than QS when light reaches S;<br>so if light arrives simultaneously then light from P will have been in transit for longer than Q;<br>therefore P emits a flash before Q;</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">There were a large variety of answers to (a). Many candidates stated that the frame of reference is not accelerated. M</span><span style="font-size: 10.000000pt; font-family: 'Arial';">any candidates did not explain the term “frame of reference” </span><span style="font-size: 10.000000pt; font-family: 'Arial';">in terms of </span><span style="font-size: 10.000000pt; font-family: 'Arial';">a “co</span><span style="font-size: 10.000000pt; font-family: 'Arial';">-</span><span style="font-size: 10.000000pt; font-family: 'Arial';">ordinate system”. </span><span style="font-size: 10.000000pt; font-family: 'Arial';">It was a rare answer that earned more than one mark. </span></p>
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</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">In (b)(i), the majority of candidates properly calculated the time. Some wrote the incorrect unit (ly) instead of y or s. There is room for improvement in responses to (b)(ii). The vast majority of candidates used the formula for time dilation. They did not notice that it is not normal for the observer on the spaceship to know the time measured on the space station. The correct calculation, length and speed measured, appeared only very rarely. </span></p>
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<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">There was a good variety of answers to (c). Many candidates still do not know the term proper time interval, clearly defined in relativity. Many incorrectly referred to both events occurring in one frame of reference rather than one point in space in their answer. Most did attempt a reason. </span></p>
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</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">In (d) many candidates proved that they understood the concept of simultaneity. However, many did not respond to the command term </span><span style="font-size: 10.000000pt; font-family: 'Arial';">“discuss”. </span><span style="font-size: 10.000000pt; font-family: 'Arial';">Many candidates were confused between object (in a specific frame of reference) and event. </span></p>
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</div>
</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>Speedy is in a spacecraft being chased by Police Officer Sylvester. In Officer Sylvester’s frame of reference, Speedy is moving directly towards Officer Sylvester at 0.25c.</p>
<p><img 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" alt></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by a frame of reference.</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>At a later time the police spacecraft is alongside Speedy’s spacecraft. The police spacecraft is overtaking Speedy’s spacecraft at a constant velocity.</p>
<p>Officer Sylvester is at a point midway between the flashing lamps, both of which he can see. At the instant when Officer Sylvester and Speedy are opposite each other, Speedy observes that the blue lamps flash simultaneously.</p>
<p><img 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" alt></p>
<p>State and explain which lamp is observed to flash first by Officer Sylvester.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The police spacecraft is travelling at a constant speed of 0.5c relative to Speedy’s frame of reference. The light from a flash of one of the lamps travels across the police spacecraft and is reflected back to the light source. Officer Sylvester measures the time taken for<br>the light to return to the source as 1.2 × 10<sup>–8</sup>s.</p>
<p>(i) Outline why the time interval measured by Officer Sylvester is a proper time interval.</p>
<p>(ii) Determine, as observed by Speedy, the time taken for the light to travel across the police spacecraft and back to its source.</p>
<div class="marks">[4]</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>a coordinate system / set of rulers / clocks;<br>in which measurements of distance/position and time can be made;</p>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
<p>light travels at same speed for both observers;<br>during transit time Officer Sylvester moves towards point of emission at front/away from point of emission at back;<br>light from front arrives first as distance is less / light from back arrives later as distance is more;<br>Officer Sylvester observes the front lamp flashes first;</p>
<p><em>Award <strong>[0]</strong> for a bald correct answer without correct explanation</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the two events occur at the same place (in the same frame of reference) / shortest measured time;</p>
<p>(ii) \(y = \left( {\frac{1}{{\sqrt {1 - \frac{{{v^2}}}{{{c^2}}}} }} = } \right)1.15\);<br>Δ<em>t</em>=1.15 x Δ<em>t</em><sub>0</sub>;<br>1.48 x 10<sup>-8</sup>(s);</p>
<p> </p>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p> There were some good, clear answers to (a) but there were many vague statements about “point of view”. </p>
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<div class="question_part_label">a.</div>
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<p>There were also some good answers to (b) but most candidates struggled. It was rarely stated that light travels at the same speed for all observers. </p>
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<div class="question_part_label">b.</div>
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<p>(i) was well done and</p>
<p>(ii) was very well done. </p>
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<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about relativistic kinematics.</p>
<p>A spacecraft leaves Earth and moves towards a planet. The spacecraft moves at a speed 0.60c relative to the Earth. The planet is a distance of 12ly away according to the observer on Earth.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time, in years, that it takes the spacecraft to reach the planet according to the</p>
<p>(i) observer on Earth.</p>
<p>(ii) observer in the spacecraft.</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 spacecraft passes a space station that is at rest relative to the Earth. The proper length of the space station is 310 m.</p>
<p>(i) State what is meant by proper length.</p>
<p>(ii) Calculate the length of the space station according to the observer in the spacecraft.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>F and B are two flashing lights located at the ends of the space station, as shown. As the spacecraft approaches the space station in (b), F and B turn on. The lights turn on simultaneously according to the observer on the space station who is midway between the lights.</p>
<p><img 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" alt></p>
<p>State and explain which light, F <strong>or</strong> B, turns on first according to the observer in the <strong>spacecraft</strong>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>(i) \(\left( {\frac{{12{\rm{ly}}}}{{0.60{\rm{c}}}} = } \right)20\left( {{\rm{yr}}} \right)\) <em><strong>or</strong></em> 6.3×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">8 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">(s); </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) \(y = \left( {\frac{1}{{\sqrt {1 - {{0.60}^2}} }} = } \right)1.25\);<br>\(\Delta {t_0} = \left( {\frac{{\Delta t}}{y} = \frac{{20}}{{1.25}} = } \right)16\left( {{\rm{yr}}} \right)\) <em><strong>or</strong></em> 5.0</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 11.000000pt; font-family: 'Arial';">10 </span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">8 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">(s); </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>(allow ECF from (a)(i))</em>;<br> </span></p>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">This question is worth </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2]</span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">, but it is easy to accidentally award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1]</span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>.</em> </span></p>
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</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) the length of a body in the rest frame of the body;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Do not accept “event” instead of “object/body”. <br></span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>Do not accept “in the same frame” unless rest (OWTTE) is mentioned.</em> </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">(ii) \(l = \frac{{310}}{{1.25}}\); <em>(allow ECF from (a)(ii))</em><br>=250(m);<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">This question is worth </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2]</span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">, but it is easy to accidently award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1]</span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">. </span></em></p>
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</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">according to the spacecraft observer, the space station observer receives light from B and F at the same time;<br> for the spacecraft observer the space station observer moves away from the waves from B/towards the waves from F;<br>but the speed of light is constant;<br> according to the spacecraft observer light from B must be emitted first;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>Do not award second marking point for answers that refer to light the spacecraft </em><em>observer SEES or to distances to the spacecraft.</em> </span></p>
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<div class="question_part_label">c.</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) was answered very well. This year almost nobody worked in seconds and so the answers were easily obtained. As usual there were candidates who got time dilation the wrong way round. The time interval for the Earth clocks is dilated (longer) but some candidates think that the time interval on the “moving” clock is dilated. It is best not to think of motion, but to realise that the single clock at both events records the shortest time interval. </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';">In (b) a very common misconception with proper length is to just say that the object must be measured in the same frame of reference as the observer. Well this is always true of course, but only if the object is at rest in the observer’s frame is it proper length. Everything is in everything else’s frame. Gradually more and more candidates are answering simultaneity questions correctly. This year almost 3% could correctly explain why light B emits waves before light F as perceived from the spacecraft frame. The other 97% thought that the question was asking about which light the spacecraft observer sees first. </span></p>
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<div class="question_part_label">b.</div>
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[N/A]
<div class="question_part_label">c.</div>
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<p>This question is about relativistic kinematics.</p>
<p>In a thought experiment, a train is moving at a speed of 0.950c relative to the ground. A pendulum attached to the ceiling of the train is set into oscillation.</p>
<p><img 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" alt></p>
<p>An observer T on the train and an observer G on the ground measure the period of oscillation of the pendulum.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain whether the pendulum period is a proper time interval for observer T, observer G <strong>or</strong> both T and G.</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>Observer T measures the period of oscillations of the pendulum to be 0.850s. Calculate the period of oscillations according to observer G.</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>Observer T is standing in the middle of a train watched by observer G at the side of the track. Two lightning strikes hit the ends of<br>the train. The strikes are simultaneous <strong>according to observer T.</strong></p>
<p><strong><img 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" alt></strong></p>
<p> </p>
<p>Light from the strikes reaches both observers.</p>
<p>(i) Explain why, according to observer G, light from the two strikes reaches observer T at the same time.</p>
<p>(ii) Using your answer to (i), explain why, according to observer G, end X of the train was hit by lightning first.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>only T measures the proper time interval;<br>for T the pendulum is (a single clock) at rest/same point in space;<br><em>Do NOT simply allow that the pendulum is in the same frame as T.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma = \left( {\frac{1}{{\sqrt {1 - {{0.95}^2}} }} = } \right)3.20\);<br>\(T = \left( {\gamma {T_0} = 3.20 \times 0.85 = } \right)2.72{\rm{s}}\);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the arrivals at T of the light from the two strikes occurs at the same point in space for T and are simultaneous for T;<br>so the arrivals of the light are simultaneous for all other observers as well;</p>
<p><em><strong>or</strong></em></p>
<p>T measures a zero proper time interval for the arrivals of the light;<br>so G measures a time interval equal to \(\gamma \)×0=0 also;</p>
<p>(ii) according to G, T is moving away from the light from the left strike and yet receives the light at the same time as the light from the right strike;<br>since <span style="text-decoration: underline;">the speed of light is the same</span> for light from both strikes;<br>the left strike occurred first<br><em>No marks for just stating left strike is first. Given.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>An observer P sitting in a train moving at a speed <em>v</em> measures that his journey takes a time Δ<em>t</em><sub>P</sub>. An observer Q at rest with respect to the ground measures that the journey takes a time Δ<em>t</em><sub>Q</sub>.</p>
</div>
<div class="specification">
<p>According to Q there is an instant at which the train is completely within the tunnel.</p>
<p>At that instant two lights at the front and the back of the train are turned on simultaneously according to Q.</p>
<p style="text-align: center;"><img 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"></p>
<p>The spacetime diagram according to observer Q shows event B (back light turns on) and event F (front light turns on).</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-26_om_14.55.20.png" alt="M17/4/PHYSI/SP3/ENG/TZ1/4d_02"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State which of the two time intervals is a proper time.</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>Calculate the speed <em>v</em> of the train for the ratio \(\frac{{\Delta {t_{\text{P}}}}}{{\Delta {t_{\text{Q}}}}} = 0.30\).</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>Later the train is travelling at a speed of 0.60c. Observer P measures the length of the train to be 125 m. The train enters a tunnel of length 100 m according to observer Q.</p>
<p>Show that the length of the train according to observer Q is 100 m.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the time \(ct'\) and space \(x'\) axes for observer P’s reference frame on the spacetime diagram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce, using the spacetime diagram, which light was turned on first according to observer P.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Apply a Lorentz transformation to show that the time difference between events B and F according to observer P is 2.5 × 10<sup>–7</sup> s.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Demonstrate that the spacetime interval between events B and F is invariant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second train is moving at a velocity of –0.70c with respect to the ground.</p>
<p style="text-align: center;"><img 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"></p>
<p>Calculate the speed of the second train relative to observer P.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>Δ<em>t</em><sub>P</sub> / observer sitting in the train</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma = \frac{{\Delta {t_{\text{Q}}}}}{{\Delta {t_{\text{P}}}}} = \) «\( = \frac{1}{{0.30}}\)» = 3.3</p>
<p>to give<em> v</em> = 0.95c</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\gamma \) = 1.25</p>
<p>«length of train according Q» = 125/1.25</p>
<p>«giving 100m»</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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"></p>
<p>axes drawn with correct gradients of \(\frac{5}{3}\) for \(ct'\) and 0.6 for \(x'\)</p>
<p> </p>
<p><em>Award <strong>[1]</strong> for one gradient correct <strong>and</strong> another approximately correct.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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"></p>
<p>lines parallel to the \(x'\) axis and passing through B and F</p>
<p>intersections on the \(ct'\) axis at \({\text{B'}}\) and \({\text{F'}}\) shown</p>
<p>light at the front of the train must have been turned on first</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\Delta t' = 1.25 \times \frac{{0.6 \times 100}}{{3 \times {{10}^8}}}\)</p>
<p>«2.5 × 10<sup>−7</sup>»</p>
<p> </p>
<p><em>Allow ECF for gamma from (c).</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>according to P: \({\left( {3 \times {{10}^8} \times 2.5 \times {{10}^{ - 7}}} \right)^2} - {125^2} = \) «−» 10000</p>
<p>according to Q: \({\left( {3 \times {{10}^8} \times 0} \right)^2} - {100^2} = \) «−» 10000</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">d.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(u' = \frac{{ - 0.7 - 0.6}}{{1 + 0.7 \times 0.6}}\) <strong>c</strong></p>
<p>= «−» 0.92c</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>An observer on Earth watches a rocket A. The spacetime diagram shows part of the motion of A in the reference frame of the Earth observer. Three flashing light beacons, X, Y and Z, are used to guide rocket A. The flash events are shown on the spacetime diagram.<br>The diagram shows the axes for the reference frames of Earth and of rocket A. The Earth observer is at the origin.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the reference frame of the Earth observer, calculate the speed of rocket A in terms of the speed of light <em>c</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the graph opposite, deduce the order in which</p>
<p>(i) the beacons <strong>flash</strong> in the reference frame of rocket A.</p>
<p>(ii) the Earth observer <strong>sees</strong> the beacons flash.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>Δ<em>ct</em>=2.0km <em><strong>AND</strong></em> Δ<em>x</em>=0.8km</p>
<p>\(v = \ll \frac{{\Delta x}}{{\Delta ct}} = \frac{{0.8}}{{2.0}} = \gg 0.4c\)</p>
<p><em>Allow any correct read-off from graph.</em><br><em>Accept answers from 0.37c to 0.43c.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) events at same perpendicular distance from <em>x</em>′ axis of rocket are simultaneous <em><strong>OR</strong></em> line joining X to Y is parallel to <em>x</em>′ axis</p>
<p>X and Y simultaneously then Z</p>
<p><img 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N9Evxj/8IDAQK8g92DHEKtQ4zBSuNYe1YjtkXJRUtFiMcKxxDjevdzxHAns+1j3sxxgTmRKYjrIlMycgh5dDrGksaazHmbPQA8bWVzZPEeIOZK5SkdJx6yOu5/wz4vOTy7ILSwtqj3ZVtxb8vjUZOl8GXyG+axQuWKFfqXDOZ+q2PMZ1aU19bU36x5dePfX6kWmBtFL6o02TT6X45tzW6pa29uGr7xrX7mG72C8znmD2Cl1c0eX9i3jbtset9vevaF34u6m3DvSV9h/9n7twOUHHYO3hx4MP3k4/mj68aeRb0+Wn8Gj+OeEF4wvWcc4XnGP804IvBaaFH4jPCXylv/t2vTou6aZzPfkD0qzVLPPPlZ/ivqsPYedu/vl8FfDr2vzjd+8vjN8b11wXVj8cfSn6M/LizqLPUuGSzeX1ZYvrPCuHFr5vGqz2vCL4ZfPr2trzGueaw0b+otCt+AC5BAmBRuH88e7U5lR69DI0UoSJOmE6YUZBBgFmSSYpVkUWZXZdNktOJw4KVyh3Pt5cnhL+Kr5WwR6iI8E3wh9Fl4RpRXjFheSkJXUlCJJs0u/3XZZJkXWXk5Ybk6+QyFb0W27GHpuua6UpeyoQlSZUW1S26duqEHQeKh5UousLa49q3NJN1pPTW+F1KmfbGBgiDe8Z5RlbGFCZzJgmmtmY85kPmyRb+lmxWc1bn3OJtBWxvaLXbP9XgdNR+DY7XTY2cKFweWha4Gbmzuf+7hH+U6fXRK7Puz+yzOMrECe92qmxHqrei/6tPsm+Gn4rfhfDzgQqB34K6gzODnEOJQ2dDCsMHznHuE97yOaIvdFGUYzRD+POR8bGae3l2Hvq/iGhOR9Dvsl9q8eGE6sSTp40DVZMYWQMp1661BZ2r50t8NqGZwZC5kjWa3ZhUfictxytY+KHWM6tnL87YnhvBv5dQVFhalFkSfJxTYleqcUS0VPc5YRzkBnFs9+Kf9QMVX5+txE1fj5ierJmne1n+q+X1itx11kbOC9JNGo3GR02anZtyWm9XDb6Sud7TPXWDq0rwffKOkc6MLe0u1O7OnqJdzxuHupj74/4v6LB/aDD4ZdHr57nPpE8unT0RMv3MYkxuGJqclHUwPTgzOjH+Y+0c9t/+r5LW9haJFp2X21bl3/zd/h1gtOGYACEQCcXgDggH7mf0bzTD4AOGgAsKFDbWoAnjAG8KN4AOV6/H5/rGew6PsGC6gALWAEbIAHCAEpNOvURPNqW7ATzaFjwCGQh2aWl0EPeALeg19o7iiBZoyOUAiUBpWhmeFj6AtMB0vDZnAAnAnXwffhLwgboo54IulIA/IMg2BkMe6Yw2jeNoMVw1KwFdg3aE4WhLuEW8ST8Efwo1SSVHup+qgFqKOp76M5VDLNK1od2jMEhOBPeECnSldJz0SfRP+FwYdhlNGOsY/JmKmb2YD5NosZyyCrC+trtjC2FfYjHKIctzkDuRi5Wrk9eQg87bxBfLx8Q/zpAjoCP4mXBfcIyQt9EW4SiRXVFEPE+sXzJciSMpLLUveki7eFyOjKcsh+lLstf0YhQdFlu/IOjh1LSmPKXSq1qvlqSeqhGp6adlom2ro66rrKekokFX0NA5KhuZGLsa/JXtMjZpXm1y2eWy5b89sY2AbbFdn3Oiw6yTr7upx1HXMX8KDsrNn11VOHnOs14a3kk+M77W8YcDrwW7BFSHUYNtxrT3ekRFRu9GKsT9zjeJOE6/uVDzQl7TjYlkJKfZBGTv+ZkZ+llP085/BR9WNfT9Tn7ylUP0lb/OrUtdNlZ9LKIyt9q8jV5FqvC1cusl6KaxprsW7ruUrquNfp0fWzp/LOzj7JAdzg0iP8E/nRuJdvJuKmlGeEP5K+FC1ILS2sz5//qr8Gqr8N8NjQPxWcQPVv2tJ/FWKGxFH9HaBg6BB0GtX/ETSH6i8Fm6L6Z/zRXwMhI4eRS8goBouRx+zEZGHaMZ+wstgwbCP2B04bl4YbwvPhg/BXqeipvKhaqRmoA6lv04jQpNJM05rTNhJ4CGloTkyhe4TmvzcYVBgaGeUY65nkmJqYVZk7WcxZnrD6sv5gy2QXYG/hsOeY58znUud6xZ3Oo8jzijeHT4dvnr9aYDeRE93hjgnZCrMIj4icEvUWkxVbEu+VKJIMkNKWZpH+sK1H5qxskpynvL6ChCKD4o/tkzuGlG4qN6qUqx5VO6AepuGl6aRlqW2ko6erradJ0tLXNdA3NDOyN/YwCTCNMUszL7SotbxhNWL92ZbaTtSe5EBxTHWqdr7vMu/G427sEbnzzK5BT5is7BVCqfAe8+X0c/TPC3gdpBycEzKNvvtK96xE7oy6GSMWmxP3M9474eF+0oHmJOmD5Sn8qcVp3OmlGcKZddlKR7pzHY++P34wjyu/rdClaLW44pRV6WpZ/VlyBUflcNWxavta1guc9QoNto3xl+ta3l6RvprQ8bTTqKurx6l39d6t+5WDtQ9Hn+iMvhq7M4mfrpvt+5r489WW/jCqPjWgR7XnA+Ko8jrAEtU9BCSiqleD62AEfIZoIDFIH/KCkqFKqBf6ADPBarAXfAS+Ak8j7IgJkoBcRKYw/BgXzAnMIJaIjcL248RwKbg3eBN8PRUXVTrVD+pg6jc0nujK9qKdIUTRwXR59FL0PQwURixjHZMTM8LczBLMKsb6hq2KPZhjB8cvzn6u09wRPOa8EnxUfB/5Hwt0EhsEK4VKhAtFCkRLxCrE6yVuSD6Smt1GLSMlayMXL1+j8GI78w5LpRzlIVV2NXf1So1PWlraOToTesqkHP13hvpG5SaQKcWsx0LSMtdqwWa37V37HQ7lTkzOyS7f3PzdX+10QrWyJN+nWHoP+zr7vQrwCXwT7BsyGxYRvhRxKIo5uiJWMe52vFvC5/2pibxJl5OtUqYPJaVzH27OtMmaOXIoV+Do1eNOJ+byswvFi3qKvU6B0rIynTNj5Qcqiee6zwfWMNQ2XND76/5F14a3jZFNq80ZrSxtxe38V890CFwv7WS/mdm10h3U87hX/c6pu8t9dv1V938+IA1mDA08pHtk+vjgSPOTt8+YR7Wee71Ie1kzdvvV6/Gl1yyTYm/UpozfOk6T3wXPRL3f/+Hg7KGPaZ8Of06fS/+S+jV5/sC3vd8jF4J+eP10X7RfMlnWWlFYFf3FtUZY1z/Sd7vi5i5AIAGAHVtbmxcDAH8cgNVja2vL5WtrqxVosoG+UzqDN//b2XjXMAJwhhGCIPieYMm//cfyP77VthUrd6WmAAACgGlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40LjAiPgogICA8cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPgogICAgICA8cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0iIgogICAgICAgICAgICB4bWxuczpleGlmPSJodHRwOi8vbnMuYWRvYmUuY29tL2V4aWYvMS4wLyIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iPgogICAgICAgICA8ZXhpZjpQaXhlbFlEaW1lbnNpb24+NTE0PC9leGlmOlBpeGVsWURpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxYRGltZW5zaW9uPjUzMTwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDx0aWZmOkNvbXByZXNzaW9uPjE8L3RpZmY6Q29tcHJlc3Npb24+CiAgICAgICAgIDx0aWZmOk9yaWVudGF0aW9uPjE8L3RpZmY6T3JpZW50YXRpb24+CiAgICAgICAgIDx0aWZmOlBob3RvbWV0cmljSW50ZXJwcmV0YXRpb24+MjwvdGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KYVhEcAAAQABJREFUeAHs3Vus791V1//Vg2dEwEJrS2H3TEFrEa0SI6kQE2NM1Bh7Y2JMvCDx0jtNoDWEGsOVMSZoYqLGC/VOE2NLA7YlWHt8eqDnqrVYDrUFChQ8///79Xue9+p4vvzWfvbea86Hvegayfc35xxzzM8Yc8wx5/f7+x6f8f/dpYtbuvXArQduPXDrgVsP3Hrg1gMP6YFn3x5LPKTnfgObXTVm8Z/xjGecrJP+v//3/y4qH00mr85W2ykz+fKwnvnMZ55kq5Pe0q0Hbj1w64FbD/zm98C91vtn/ubv/m0Pbz1w64FbD9x64NYDtx7Y6YHbg4md3t2M3VFiZwl++Id/+OLzn//8SSteZyX+w3/4Dxd/9+/+3Uu+zBe/+MWLV77ylSdecuFhhtkZi85iHNMTwO3PrQduPXDrgVsPfEV74PZg4oYNfztzZjsIUP6///f/XnzpS1+6+Pt//+9ffP3Xf/3pQKBLEuR+4id+4uK1r33tia+MtEMOGo4HDseDiuRODe7+hB1G/Nv01gO3Hrj1wK0HvjI9cHsw8YiPezvsmf7Df/gPL/7IH/kjF3/0j/7Ri3/9r//1xa/+6q9efP/3f//Fs5/97Iu/9/f+3qlHHSAovPvd77549atffTqAmDjJ/PIv//LFD/zAD1x88pOfvPj4xz9+8S/+xb+4+Jt/829evOQlLzmlH/rQhy7+1J/6Uyd9//bf/tsnHZQ84u67Ne/WA7ceuPXArQeeBg/cHkw8DU6+jgo7/C5DSP/BP/gHF29+85sv/s2/+TcX/+gf/aOLv/23//bFF77whYvPfe5zF3/oD/2hi5e97GUn+XT+3M/93MVzn/vci9/+23/75Y2T88zD//gf/+Pir/yVv3Lxghe84NT2p37qpy6+7/u+73Tg4CDEJZI3vvGNF//sn/2zU/o3/sbfuPg//+f/PElHum7TWw/ceuDWA7ce+Mr0wLO/Mrt9c3rtTMJ8guIf/+N/fDob8ft+3++7sL3nPe+5eNaznnXx/Oc//+I1r3nNxZ/5M3/mSZ17y1vecvFd3/VdlwcSnZlwQOGg4C//5b988W3f9m0Xf/Wv/tXLdi996Usv/tyf+3OnNs5+fOu3fuvF8573vNNBiUsqMLLrstFt5tYDtx649cCtB75iPXB7ZuIRH/ouRUh/+qd/+uJ3/I7fcfHCF77wZLUduksbzli8613vuvie7/meJ12CUP/Wt7714k/+yT952vlrNM9KaPcH/+AfPN1T0UGCejqmrIOZytMe+Ld064FbD9x64NYDtx64PZh4xGOgHbbUTv1//+//fXlg8C//5b88Xeb4+Z//+Yv/9b/+18XXfu3Xnuo6YHCw4H6K5zznOZcHEeHp9m/5Lb/ldK/Fd37nd1684Q1vOOHj114eVe5A4nHul/mVb9NbD9x64NYDtx74yvTA7WWOR3zc24FLXWr45m/+5ovv/d7vPR0gOOvggOK//Jf/cjrI+Ff/6l9dvO51r7s8oFDvPopoYuEpo9e//vWnsxfuj0DxT4W7Pw5AbPhzq/42vfXArQduPXDrga9sDzzr7o7kDV/ZLni0e99OPCv/7J/9sxdumvyar/ma01kJ9024wfJ3/s7feTrYePGLX5zohTMWf/gP/+GT7DwjkYBLJO6zcIbC0x7/7b/9t9O7J77u677udB8FOQcPMOmo7EkS92kcbTsJ3P7ceuDWA7ceuPXAb0oPHP9ozk4+4+6p8NsL39Mjj2C+nXYHBAa0/DS3gU7eZQ685I9pbfHvR5YcSnflcG7TWw/ceuDWA7ce+M3rgXut+bf3TDzi496BATMbyHiVz9WR6cbJ5I9d1T6MZMOqjXTyZvmId1u+9cCtB249cOuBr0wP3J6Z+Moc99te33rg1gO3Hrj1wK0HHsgD/fk81+j2zMQ5r9zybj1w64FbD9x64NYDtx64bw/cHkzct6tuBW89cOuBWw/ceuDWA7ceOOeB20dDz3nlEeId7104mnav005H2dvyrQduPXDrgVsP3Hpghwduz0zs8OpCTAcTNt/M8C0Oj2/Guz2QWOjoW6hbD9x64NYDtx54aA/cHkw8tOuenoaesvjn//yfX/z5P//nTwcSvpnhRVUOJBxU3NKtB249cOuBWw/ceuA32gO/7mmOdlBzZ3Wdf8DwrtN+l4PqJ/xH0b767TXZPsTl098+wOUbHH/rb/2tix/90R99pO3O/mP6qMbD0c77Lf9m68/99vsmyjXnH3a+X7f9Tp9lGx0P27+HtS/dT7fee9nLpuyZ+Xu1ua17ag/k03OSl/dMcLgXF/n2w2/7bb/t4td+7ddO8j5dPfPevojIkNXmmLcDjN/nqsnI2+R9WMr2W3/rb738pLX85GePNzQibb21UYfoJk8mfn3wb54Mvrb4ycChIxk4ML3Rkd0T/1w+Ge211e7Ylq7eEElXfT/XX7Ls0xd4ydd3/B//8R+/+Oqv/urTODiIePnLX37q95SB8cEPfvDiv/7X/6qLl4TPF6UOSF75yleeynTpI6L7Kj+T0X7K18fGQtvy5/yWn/mND/mHnHiSznz+lJbXji/Iy+f/YokvYBQPMzbITF/JNxbS+pX9V8UMW/KDPPniSn7GRnzy5adM/ZLqy9Gf+oIPU6r8P//n/zyls215MuzmHzzyMOnnC23pz4dkyOPXtjw5Pjnnh/oiZsjAKQ/HVl/iJ1Nb+MUD+4wHGW3ZQG8y8ZPHz8/6qL/ktSWjXht5aXm21F+88trJw9E2X+GLm+JN3jo42055+D6QRwa/tuXx2as8/Xb0CVuKGbqmvLy+k2GfPJnyEx9PHX9mc7GknA9nW3nycGxk6KSvfHyy02/1lx/sM+Boy5/6Tj4f4rdfmfzyjcVRHh/xszw/wck2uPmT3NHP+j37Tl5bpC+o2E2uNvlR//NRMnjy+Pml/uvDl770pRO+vG8l1U8y9WHmZ+yejLohP8/6vu/7vjfoEMf+0i/90umT1t/0Td908dhjj1187nOfu3jBC15w2kn97M/+7Okz1x//+MdPp9t9J8I3IT7zmc9cfP3Xf/1l/vf+3t978dnPfvbi05/+9OnDUz/zMz9zqvP65//+3//7CcsHqWBr/3t+z+858f/zf/7PF7/rd/2ui89//vMX8gLmi1/84sUnP/nJU8DI/6f/9J9OMr/wC7/w6/gG00C9+93vPskIYG0FiX5pa9ANLD55AfmpT33qNFQG8BOf+MRpoGtLBl+fm+DODMDhr49+9KMnPgB5QWL70Ic+dFog4cDnE/7gK6+qtsPPb/zDNh/jcj/E+9///lOev8nxCRw++Wt/7a9d+H7Ga1/72otXvepVJx/CNaG+8IUvXPy7f/fvTgce7J2bfim/4x3vOJ3h+NN/+k9f/PIv//JJL3v5hA1NLvItFNpNv+UHfPLoIx/5yMmfdgp0sJnfPvaxj50mtDbyeHD5ykS30GgLJ3/is4mMfn/VV33VKWZMNgdUDqzIkjOO4off+OF3/+7ffekTrxcvfvC9Wly88ZX40d+ZN9b8IH7E6q/8yq+cxq74MY7sLZbYyCY2sKc44StxNf1WXJH3yXg4SB/5rL7DDAc/P+grO/hKjOvbhz/84dNCGJ+Mxcon57XTB7FknMXWBz7wgVOf+Et86qt56ACUn8QlGURH/dVe3pjy23vf+95Tu1/8xV888fNbc8qYzfgx7vobDtuSERfsJoOvz+KbLos8nGT4k2/o4zf8+s5m7fULkeEf42CM8eHxifhRX1zBtNb85E/+5MknYkxbPvmGb/iG0zrIdmscf4qL/MYf+PxmbXv+859/8ba3ve3UVp48P4VDV2sOe/lZHMqLDf1lGxl5sUQf35Lht3//7//9aR7wG5/g50Py+smfyI6RjNQY5B9+00dt6dN3Mvg/8RM/cWprDMizRWzoC2z+0V/xY15pO31SvNl/kBF78vxpHbQ+8In9B8yf+7mfu/jGb/zGk4w1zOcB4Ns/lLdPkBd7/BzfGqmtGOYb8fPOd77zNLZ8zQ/iRN/4Eym3/ph3/ANTnlxzkm/MNzjmlTxf8IsYJc+n+MbOnOQLMmKL7/R5zj2xwhf6Y7+q/8WNPtgX4MPnZ5iPGun3VfSMu4F4uvDepDXQHKCRwUETgJyNsyfFk6LS2RbfBDSp8ZNpQgjsqTNM7ZC68KoLI76BErToKBMv2driT568unizHfstJkc6ys82U3bKlZfygZT/LfhTtzp9V2/H+Rf+wl843TfhLAMeIk/mOC7pJvf2t7/94o1vfOPFm970pthP6ieZ+p49CVZXuXTy5dlvfFF9mHYlX0pu5pVRPGn9lzoosLjhI9jFTband2KchJ/4qV4xnNoaX/jKsNGUr6xdbfGmv2pbO2m2WDCn/bNuYsuj2j1eevyXXWHHT7/FufmbX8gkL53t68O045xOGPj8Dx9GOsMPNx3xpeicrsdrHv9VbwEW/0dsdbUnXT3e7Jsdq7po1svP+KyuvmunD2hi1q+JmQyMmXewaWfC98e69CR/ajh+smemR5v8CXnhC194si+5AXHK4tumH1TgRfUvjOryf3LSZOWnfP2Z9flq8mqjvQMPBy120PhsTLd6lDyM43hUL506lNFcH9SHpa7ytDF8dqgvfma78qXnYmjik5ukLB7QubpjP6wRDloc5D5qdLR12vdMlW06mnPlzzXEKwBmfXnp3KYy+eTkG8Cc3SCHX9oA1FaqLlLO9smvPTkybbPdVTxtZ124eNkDp/yUnfjq1UVTrryUXFvyUkfL//Sf/tNLWywkr3jFK07/VibmUU91+Kj0mM+Gk9ATcumPJ80fkxdfCn/6qPw5mSP+lFVXX7JNXJCpD6VhH3WHfy4Nszq4tvgw5dOZ3Kwng2a7bJZOex6XfNw/YaqvvTQdJ+YoT521IWNhUnfUr86/R6ROm+ROzCd+1KHwpcdyvDCqnzvJU6PxU5v62QKaSPaGFb9Ue/qyPX42qG+jA01ZcumcWOFIw5I/2lNdOqSoVJ7MbCcfJTfT8lNmtokvJdtWOZu0kbcehFk6ZbMvHUc85epqV4qvHkYxdq598hOrdjDCx5uysy/xjeOUw6/9UV65drNN+dk2XljqtLfVt+STUVdeqhwO2fL4lZNXjh+vlD79DA9OWMcUjjEOS/mm0DMZbdNxC5HTLpNyyLHTyjmHfPXhxYsv5VCnr2DO9ufyZMIKI0x8NFMyNv/M0GxzYtz9ST7ZKZd86WyDp60UvjS56Z/ww02utvFnOV4p/0wcPvs7f+fvXPzIj/zIie/0pO0P/IE/cGmTtiibHi99+Rdedp7THU/75L7c+su4yak79q3xYj9iN0quvHTiKKNsVzdtmO3JOfNEJprtjrLVkYVZWftzNpDL/8nilZ968aPqlaft1UvJ2JyarTxtqH7qmPXhkpsyyiieU6UWI1TdqfBEOblwpDOfztKpF474r6609urxtJGKAXWo9FR44ieetM36cz/t6NAmfVPHxD3qK37Sl2xyleG2xatNupTTn4x/lf7dHmn6UZuodsrhlS/Fzycu5x2pdnTk+3DTpTx5s1yerPhv5zf58hOLDco2dSj58qW1ZZszfy4FRLVVDuucnrCTr5xs7Vt/Zv2xDdkjL93xyeRLaaQ+HXi1m/XxpBNDWzxbNPXhqTMHXAK7aXR5A6ZgdQ3I9ahjBysf0zobX3nmq5dykjrXD6Mpey6PdxUfxqxrgPpUduUpM/OzffzS7EsmLGn2y5MvTXa2PfLCP6bJwWJ/9fjG5J/8k39y8df/+l+/+N7v/d7TKfIf+qEfOl1bUx/NNvGkky9fuXTKxDum4Z3jxwsn/zSJjm2Tiz/TI1Z18aWdwpfnL1R98pN3rDuWZxv57E+udGLOfPWl5+rwouP44j9V2+qPaZj4Nv5wv5Nr55WPbSof9bZgVl+ajlL+IWu9qM3Eql3prDvmj2X2u66srXwYx1S76EHr2F+bI8ZVZfzalJ6TVSc+7YzZP/3zIBjnsPP5y172snti30vPrDvqYC/i//JHmdn3mT/KVZ4pebgu8bnMgSbGg+TvJWt86UnmqvSof45VbaYMXn5pH3OsV0az/bE868qXJmsf7DLHTaPLgwmGc1anSVd1pAFogN3QsprClnaKyADZqruuzrD865Dvn8J1cY/tw2e3Db3mNa853bgnn251cwKoexRonobdYU//+laN67SRb3fi09VZA3n6VpP5W+ysxoc37V9t+/T/auzwis/mVvxVqXVBDPkTsJr4x81+O6hYaXwrr9KVv+F3sLsKGw576bB/2b0u5qOV9sNiv37AF0c3jb58/uau5QbieJnjuh0qKBtsp7kKrOtin2vvNCNdU+85ufvlNcCl8OUF7I5+zNOw52zMjvx5TuY3kucGKDbu8I1+hb+jj2w2vtGOPhhfVHyma0UK02UOO7Mdtucf6Q774RpftBOfHttqyv4d+NnrCS++qbyqD9mc/1fjs5PdblB1QLQDn445f5VXUn7fpaOYtw/eddC40h9HrCcdTLjD1qM2q4mTGgiPBK0kQQm7MwXwC9TSVfrgOQUltTX4q/DhOIWW3fktPaXpO5bj/0amc3x32Mc/DuRg56dV/YV57jLEKnw4HhncYTts/njRi150Oo2842AX/hxfOlfTbv/DRztiE67LBDt8Dxt9y7d8y+OZxb/8YWt8d/nHZQ6P6+6g7F+9LhxtzUdH/nXL+dw+5lF8LPSp+nd5MKEjBmH1ZQ4GdMqGDqdwctpTGXc/9dktpaeDipUBBQu+rVNc6ZOupHmafeKmR9o26x+VfP7ZZQ//5KMdOsRP470Sv/HrFKbyyhjN1nmZI96q1E6y+bvDdnZ2VmUXPvt3jG8+LjYb7/jXTcPrH2vl6+LO9vySfyZ/RZ69rc87xhY2Yv8umjp2+b8+pGtXX3bgXh5MGGAL0erLHE3cAmjHKaIGVjrtV07vwzoPRjiw4Cuj+A+Lfa4d/4R/XdvP4e/mTf/v0OUywQ6/s5W/uwwh3zis6ge8/LNrbH/6p3962w7BArdj/uZfPuGfHb6ng//n+KZ3VQrfZQJ+2jW+Pc2xGh+erfm1yifhwHYw6j0WDoh2zC065vqZ7lVpNtNB1y7yxNR84mWXntW4lzdgcpSXZDhNupIaAM6X94av1WTypsdp5EnxJ+9B8jNoYHUZaPIfBO+pZMN/KrlHtd7TBHzTqd7r+v/Yz17Yg78aG6b43IELm1+ML3zbjhhyGtzNf+mgdxUZU/5n9w4fwWx8d+iA+c3f/M1bbOdj+E5R97TCKr+HA//bv/3bKy5P+X/n+sN+T7u4AXMXsZ+eHfHJ5ny0C5+Ol7zkJVtu4IW9k550ZsIpom7AWa3UANu8YlW6kixyyAB7PrdgWqUHbsGz+/lfr6Olqz6s9NPTgcX+DiR26Ms/jcdqHfB3EZvFf7aXrtIHz7+aXad6xWT+X2XzxGF/8TP5K/P+GdOz2vfZaH2Yf27ir0jZ7A24aJf94hOtWjtPYHd/stc/7h1P9MFnc/and2WaDm/x3EHhOzu0w0c7bJ6Yl2/AxHS9z2RbTQbZDoazPM2xmuA3EA6GykuvS2HBoQe+FK3APwGNH69qNQ4dII2qG5Flf+Oxw+Dwd2AbT/h2BjuIX3qaSb44Wqmr0+wzblfjr8SbWPxR/O+YW3TBRzt8z2ZPK+y474C98B0s7rA/f7c+Vz4pW/jjYHHHjpJ/rJnZv9DkS6hiho4da0RjzEe+NXLT6PIT5DpiJ6YTPuCykhoEmALJacDVwdq/AdfjPJUCv8FZ2Rf4nUZejQ9vp/2+zfGDP/iDp29zrPZ/Pja+TmPmm9V6+Kf4WY2tD/mf/Wi1Dv/Mis+TgoU/bLYzM3+zu3SFGvjNX3grseGFv+MdDfCtER2oe7HUDnLfmfhf/WeAbxpf3y5BK/0PGzW+K7HhwocJn29W+z//OJDb4X99ED9sb43AW03i09kVT7zsmgfXsflecXH5Om0KdGTHmQnYGeHLjaupQYYbfsHbJLmOzjCkO/CnbZ4jT9/k35S8ryCi1Ytp/XcDmlgqnuKvSo1v/l+tA+6uG+jqvxsYzeNd1Piu9k32+jqu+byD2Mz+3lC5Q4fLEA4oVveB7bYuc6y2vfFsfduBL/6dWdl1qdiaI37qy+o+wNeHXWs0bDqcPRNDN40uL3MYAIvQjnsmYHOU1A04q6lBPuLTuZLg97pfuPVppQ5fPK0/K3GfLqxed00ff60m/oG7emzZCZP9/L+Dis8dfsle11vN4106ep12+lambN4Z//l/R+zkB18U7sxZvBVpNnsp2Q6Cn3924Ifp09rOzK2m4n3H/uVoa18VPvKvW9YH4+BgwtmPm0aXq6YjaZPA3c6rqYlAx+p/TbCbCNIjfkH2sH0Ku/ZO002d8Vel7A9/FebTidP14l19yD9NvNV9y/4d+HwSPruVV9O3fuu3nubx6n/G2cl+2Dtsh7kLm/3T/9ddF/LHMZ3je6y7Tjl7vVp/Jx3Xz9W6jO+u2DS+O+2Hbxx2jTF8f2Tsg2/itzkuL3P0b3j1jR8NgKA0EN0AtSpIm2T0oOMNOPFX6IPVZSD+2jEp2E/Prn/HK/xwL4z8cy+Z69QVPyvHNXvE0tNxg+3UV35V6qukLajNjVXYcMQn3J3+X2nvEUt8ttYd665b5hP3rOT/6+Kda/+Zz3zmHHsJj/3H9XMJ8BMg4qYbMFfHDzz4O+3P5taglb4Jyz6lJ4Li3ZT08swERzni6qU6qzowFx46dj7HTFfvOch+vOtQ7QvWnmNW3rEo7XzO/jp+uN+2+Se/3W+7+5Xjn11kTO/cuXOCl99BMz536Nj5NAd78/+O8YXPPzuJ/Tv+BLCZT7znxg2Aq/1TrPQ0x2ofZe9O/+uDy8S7XhU943O1fxrfYrTx2KHHPvgmvrTqSQcT7h5tMV3ppAJV+lM/9VMroZ+EZYD7EA5dtlWDHpYboCa2/ErqBqvVuCttvAqLr43vjoOsdBY/jUH8FSnMbq7a5X//LDvrtFoHvO/4ju+4vCa9A5/9xnk1tvGD2T/vnfj5f0XMTAx+cU/DjtPg/AH/ta997Vb/m1/pmn1bkYfrnp5dN2CysfVhhb1HjGKyNe5Yv6IsNu/c/UNzIy9zcFBbp1hWOGVimAQIfh86mvXXyYcNQz96w2b8AuBhdcCZWN5wh/p3U93D4tcuHP4pX5rMo57mf3bbruv7c/01vny/wzcwix+6d+hw5mZ17OQn9n7sYx87PX630/5d2PzSma0dvme38YW9A1+8u0HVvWe78N/znvfoxnJiL//3IcPVczef7/zQF6e0Pi930F1A/uGXuUav1AObnxxs7bxUttLmiXV5ZgLT4yif+9znZv2SfIEpdWS6cqJNbMZ2zTv+dXXBmVjh9++7uiWOugvC/2Gvwnw6cZyimz5brRv+rn+WbM3+68bNVf12mrqYKb1K9kH58Dyj3sHKg7Z/Knk+MX9X251e41r879JhfPlnRwzxj2v21tHV9heP7jlAlfPdqnT3+PYJ8lX2Thw+3/ntGPjNgal3Vb4xFaOr711cZeO9cC5vwCTkWtaupzmaXK4nriQDELa8RaIyPTP/MHob4PS0CFV+GMx7tXGpKZ33knvYurBLHxbnqnbzX9kOHeIn3NKrbHkY/rT/urFzTn/xD3uH/a9+9asvX3az2n54O9/RwB/F/w7fGA/+N4d34PMP7NUvZJpx9Cf+xJ84rWmrx5YOmDP+p97r5mE7iOObnf6BvcM3+i9mYDeHr+uTc+3psA9e/eLIc7pW8y7fM6ETrvX5Z9NEKxUE8nPr38/kncuTMwDqUE46Jzt5ZI9lvGmLMkpOvrfD4Z2zMfnS2p6TVZdcffCctHzl7DkJPvGDF39izHy4s518/ok/7St/TMmmT37WVy5Vl+3yk18eVvmjTNhX1ff2xfRMubDwpo4pI4/O6cHj/3YGsx9h1+5c+Vj3uKbHf9XBy/7qaqNcXorqg3y8ZOJNGbwZn8roqrbqtJ/1yU9eOqSf+MQnLk+R1nbalGy80nO41c02X/M1X0P0RNXPVIVyumfb5JJRjuT53/gi+ah251Iy5/h45+ryf3XHtHbZf8ROPv5R7qu+6qsud5b3wgpHisKrzeTlQ7z3ve99l/N38ms3ccqHdbS1emn+Zn806+XDOfLPlY8YynT4w9rBxDnMqWPmjzqOdZXFJ9nZ1+qkKL2Plx7/fSp5baw75Fqjj3qUwy4/03TDOJfHo8PZp5v40qpnff/3f/8b6oQ7SD/wgQ+cJrSDCjeaOFL1YRM3RrkpxGmkz372sxeCzukYnzz2opCPf/zjJ0fiOdXn6M3b/rTxVjXOceqGnOuiFj2OJuvUryDzdjr/TGD2jns3xHkRzKc+9anTtWB2ucnJogNDYLLJZiA+/OEPn+zRjk59YrtrdXQLaBh4+kCnl6jA9MgPm7S16Hzyk588ybuGRZ5O/qnvLnnop/7pJyzXuujNd3ygHfvZxz/aIXUCU50DOe0++tGPnu54hkWeH/g7fF92hd1NTGzlO29+Q8aK/+hkf/5x+lL/fuzHfuziL/7Fv3jSTZ+Xo8DLPzA8PucRQ7aFAdP4sZO8OjZ2AOrGURP5/e9//8ke42Fs+SP79dd40Jk8fD5nm1Pc4o0/vU6WThNLvbbGhP+NF3k4dNCFxx7xw3Z98E6Qxp6ebGVPfucfvjEu8jN+4LOXrcUDmeaDseB3OmHiWyiKH+PKdn7DM4Yf/OAHT6m+9piivsHSb+2NLZ2NuTERM2yc/TQO7ONjGOYJH4gHcWNeNU/EfTrl6WoMtTcn6NQXdfpbzPIvHxkb/n/uc597qmNX7cRPBzL6RRdb+UfK1uKHL5rTxqSYpfO9733vyS5jqA/8oW9ii136a+Nv8nSaJ60j7CdPJxn2NR/1l//FFozWALgw2NxlTDaa59YMJBbwYDTX6ie/0Cl1zwr/8il5NpJXhq0/UmNTrBt7tvAPOfa0Zogf8cB/4gEmX1uvzA12w2er8UJwWq/EPRnjZxz5pzHJP+k0Jo899thJT/4sfmC0tusDfL5gq3nGRnhzHZlzWlyy33iRt4k3LynjY5j6gyd+4fKPfrKFfj7mz9YdYzLHkK3sJ9MawB+w8PhHLPDPjB++Ma/pEQPtu8QJf9OjnTwfmQPGrD7rF2y+Za+4nWuW/mkPj5yYp09ev/VNnxC5j3zkIye/8MOjRmL7KnrStzkMsMnH8TqIOCWSx+cAoLZZn9y9Us7idO3OYcS/F0Y6Z8eyycAbtOheNsLRn/C0KT+x4wsAAXS/+LXLZ+lKbzaTy06L3Dn8gk7bo221hTNpypJ561vfevo2x1ve8pZL/5OZcrU/8irDYQtfWISUbYhM/pevjTQfJJuemR7lK08/iR+LzMRJDm/KZtM5WXX42k6y0JjEcNBsq5yumT/Hm/Uzn/14YU8bZoyot7HlnP+qCwemHYXHH5tjeIiOsJPPV8rThmO5tuStEbDJ1D78cE8Kn9AZLwzpsW3y0vwz25WfcvJh5h9lG7qqjfh0oDHrZz9Oja/4mfq0V5aWV+afGZ/qJn7lxuIKVSd2+FPGwYrPzM+69JPDR3gR3tSX/MQon/+nPJzqz+WPsmTS3xqRjB2pOjtsmFfR1Ecm2XBrd5QzvsXnrLuqfTjS/DJ55/J8RMdTEbzj2GfHsW39Iu8gzBo09wNH+d+ocnae0/+kGzB11GKaE+ZgTBCBgY6OuZ+yo0tYbZwXTR0zr145/GPdtNPRY0TuOJjVScMMN16Bnx71eCZG+NVdhV89TDJhpuOoMz/4B4Kqj2/njRdu6ZSVjz9l8bNBvTobnvLcwmiMk5ci7dSFd2I+wZfnH3XpD1tdGPIoO5KpXhpGOOTxix/liD3qsm22ye9h1690h1Hqn446NNvGgzO3qUub9CSDh5TJ+gdS3TnMI68xwp+2w4wXttQ/p2k3OZSMvHY2vMqnzBM/1U25eP7l1SbM6vDDLF85m2pbX9SHo87B0LEOf9KUT3dpeFO+PBnji47xNTGnvLy6qPGID9OG2A3fAUV2VBeG8lHXrDsBPfGTHybPP3mkLuww8cMqX12y+PWBbPKlza8pr820JdlS9aiyNP9qF5+MMzL+MGVD9qmbdNQHI5xS8tMP+OJztg2z9lfpI1efwy8NQ4rHR+VPmbs/yZbiw5u2hF8bafLqqrcP5p+bRpc3YOqUo0anwuRzQh2UxptOyBmzTTzy8m3aOQ12DpNMOmpfqp26iZMtePLpOr6bXX1t0wsPhXdMs6N2E8NLVyZVhxc+XiQ/bVVui58ebewMUBhHmdomk9yp0d2fbKhd9crVkVVWl+5Zp36Wk8UP71xbPONL3hbNNkcMcnSlj2xbGJXJtJgesSuTCVO7c2WyYdeOLCo+w5hpMjBtyuFUB0NeffnqpOKn9se26tu0TUftT4B3f7SbPHJ4Dnad1paiaYNybSZu+krJoTCPNppf4ZBTP2WmzilHFk2ePPmpK/88Lv3r5fGT137iqatceuQ1v9icTOmRV5k+MpWTjzd18E8H/rOd/JQrH5Zy+PJR9aVOsaN8IK8uXfJtR5kw6Em+9tU1vyqHRQ7Ncvjt+MIsTTYs7V0aceYmG0rJ1I5cVNtz6bk2c/2HjWorP/Xhzy1ZdqDsmTJ4+Si5k/Ddn/QkH7901uMpn8OwD3YG/FgXzqOaPrsOMtwgux4aVVf5mFZfqr58KR7stvilV7XBR1Pucc6XeergSmdA1w6vgIoXxkyPOipP/OTrR+VkK8/0XnXJTRnYkXy2T5nqZ3pVffyZltf+XD5e6b30JFNKtj7w/eSHE68Uf+afSi7/a3NsN8vlr0qv0ovfgnO05ao2Rx3n5JJhv7yt/L3kjzaEM9vEsxPzDHz2Fz9H2eTDnum5usnL/xNz5qdsuPGO6Wwn7yAI/pFqh38uP3lTZvLlJ3a+nzLpPfJmuXzp1Dd9M/n3yp/TObFrG/ZLXvKSUz8a22RLkz+XXsXDR+f883jN47/ndKjJlmSnXLyZ1pfkSsOpXFrbYxk/HszWHPn4x3S2Cbf0nGx10vzTvib5KTPz1ZeqK39Mawf7ec973un+kng3Jb08M5HBOazyipTjbILFzUcrCa4BKBDdQINmQF1HX4MOz+ZmnXRVdx38Y9tuAIO9YyyO+laXsz8f7cAPe7V/+NxNZkh+9fiyl38a29X47OabHbbDRuJ/Fz5c/8rQDt/AbP1ZHTsno+/+uN7dmaF4K9J8XroC84gx/XOsu26Zv+G7ybLLQNfFnO1hi33xuYvoQMZ4R/zko9L07erPatwvn4u+i+zGkhbTlYpyvJ3+nTt3VkKfsAQRbM535L6Ssh227cUvfvHlYqGu+lU6X/SiF10upDctmPiA/TtJ/Kz2efbCfelLX3oq7hhb4+kZcrGKVvcDrrvh7czoWo3PZvEPtz7graSd8cPu4qcD0pW2w/Kk2v3cnPewervr/2HbX9WuMeWfHetOmC5jefphNRXr4jNdO3TANod36AjTH2JPON00ujyY0BF3Oe96HSl8WzdwrXKUILK1OISfvoLsYfXBiWB1g1i4sz6566TwYa/GvY5ND9I2+3f1wc1P+f5B7LofWT5nfwem99PmQWTYzf5dYwvXKdLmwg498wbSB+n7/co2f+9X/kHlduM7mPOnbLXvxY6tlwqungPsFTf8szP+7Sg9Mbja/uJAfO7CpgM2H60e3+yHax/sUd+bRpcHEwznqNX/OI4D6931K6lBTY/FNMKrPt7DpGHD6p4SE0+5uofBPbaBxz/ZvBL7qGtXmf932p9/6EjPqr7wt/ENt3QVPpx5sL4aH16Pxa2ex/mA/Tvjkv/h79LR/K0/q1M357l3ZTUVKz0uWHmlHpjml7Vth/9hel/I8dHcVX2A756h3WSN2zW/9KFtdz9W4z/pYMK1LC/7WE2CM+c7Kl1NJkGTyzW5KF7lFenR/tU6Or0loFZjr+j/U2Gwf6fd4e+YcOwWPzvt90KbXfh84syHp7J27BDgN7929CH/s30XZb++rCb2tz7swOeXXqK1Gj+81p/VvgnPY6HiczUVj+bXLqLDtstHxgC+l/V5muOm0ZNmrX8186uJKzrDOQ4kpGh1IBmAJgJ8B0SVS/GvQ2wPCz6qfB3cc2076Nqp45zeFTw+yf+N9wrciSF+dvmenvB36Sh+6Fqtg8+/6Zu+6fRCoDnn6FpB8Kf9KzCPGPn/yF9V7n6SVXgTx3jy++pxTQfsl73sZafirvl11RM12XCdlM35Z7WP4MF3iWkXZbM5sMP/+cd9Nx6hvWn0pG9zcNbqwWiQc74bcMqvdFYD3Wnqyit1wOo5eH2gY6UeWBN/te1PB948jbxjnOFbkNBqfP6Hv3JMp8/Z2ylS+R329yTBauz83WWaHT6a/t9l/+rLrHN85V3m2HFmhW/gOtjim9X+D3NeRjz2bUXZ25V3XeZgX/G5wtarMHbGkHGwD959UH1V367Dv3w0VCccce14tEbg2+hwg9JKahLAlO8Nd5WvO+mm7fLsN6nDpXMleWd8lI7Kj3o6x7cd/mqbvSG0xXq1f4of+PKr8eFl/2rs/OwU6a6zB2z2htPVMZ/tUvNrh+9hsx/+Lt/T4dsMu/7dm1MuY0lXjwGfwOSfHXM3n9u/uNRRmc9WUm8oXokZFv/wDR/tID6x9dKq1WO8w+aJ+aSXVrnMMW9gnILXzRc8q2+QgZvTDbRTRAhv1j2s/eGE6TJQfXlYzHu16wZGfWmneS/5R63OP4PGY4X/j/0TPztw6YHruxaNb/042vCwZXg77WeXu/3989tB/FL8r/YNe+EX/zvsh7nznyufOLPVweiOPrjMQQ9frR4Da474ZP8OfP7YdYMq7Nb/Xba3Ju+cw3wvhm780xyc1WlSg7OCCvh2jL1UagU2jPDL956MVQEFJ5LPfnptsz6566QTfzX2dey637bs32l3/rlfex5UbscNyNkw42eXj3zoqDm8Wod4922FHXHPR9YI85fdq21vDFof9GE1sdm/yvy/Ep+9NuO7g/JH87fyal1e+LTj0Vl2ip/ic7Xd8PIJH5XfoecmXuLgh2c6gLBxjtOjOxZr2C0Qq19YAreBlXp0ShrvuoN9xPHp2XhT93X11H76Jz3V3YSU/03qXbb7ml4Hpqt1wGt8je1KKlbg7ySLqcWoOb1aF//Xl9XY8PL/Dmzjy37p6vFlL1xnhXwRcxe5jEvPDtrpH9j5Z+ejs8Z3J4mbYmiHHvPWAe+NfJrDwmzjJJc5Vt9cApeDpPSsnmgCFLaUHpNZGZVeZ9DDhtFkoMemvJp8HyVaYX9YT1fK/10z3uUfvker/QOP/fCbE6v8xhfhS3f4hq1OwZpjfWxqlf1w2N17DhqD1fj872BoB7Hf/NphO3vhzvm7ow937tzZYj/bxWRxszo++Z4Osbl6buV7+OJnF/GJbWcMwXcT/u4/HTt89KRHQw2ybSUVlAVQ795fpUOQotK+HSCwVlD2w7d1mrT+pHeFLhh9O0A+3fI3hdi/yzd8MP2zwyfdgNziulKH8ZynSFfHDnxb/l9pOyzY4l+6i+Dboe3SYf3Z8c84/ziNv+vRQTqMbbpOmUU/4f7CL/zC5Vq6CPoEU1x6D4RLNavHF55tzq+V9sNqn9IasRq/PnTAtRp/N97l0xwUGeQd14w5qcW5bx/s6Bg98C3SDcyqBTs8+CZegYW/kvq2CLtX2b7SvqfC6quG5Fb7BqZ377fwKa8k9rrBDb5ttf/hfcu3fMvJ5ObDSvvhe1pk19McbG1+7RqDl7/85SeXrPZ9fmb/Dt+H3w2wq+0Pr9eZV07vdVN44n/n/GKjG2DdXLja/vovflqb461KxTzsboJdhRsObJt9cC8/q+4mpJenIQSS0zerL3PkhAaibzfEX5HOndanPvWpy51YE2SFDhjw+tAOnbbVk6J3y+9YrFfbes6v/I/Yv0Mf/5hwc8zP2fEwPPayf4fd7GHzJz/5yZNpu/xjZ9mp9tU+4pd2Zg/j3/tpwz/sXm17upu/lVembP703Uc3HcytjqH88W3f9m0nkyuvsh+ey5O+O7Ha9myE69FZO8od9tNT/KRzdWretsbtwIb/nOc852Zf5jDQOtJCtNpR7QC+9mu/dim0oGR7qYGgayU1uejwaFN9ib9Sl3fX79rRrLTzKiz+R43JVXIPy/+6r/u6k38ag4fFOdfO+MIvlqSrqfjfETts9arfnibYoYN/4O7AZr/5tQsbPv/vml/sLn5Wx04+/+IXv7jF//D5hf1oxxjwyVd/9Vcvv2/uZPATP9afHbbnE9h0rB7f+gDfvYu7LsWlZ0d6eWYCuMscu17IIVANwOpTsJwPV0pH1+N2DXaPNbUzW61n582LOwLoiJn/8Y3JahI/+X41PjzjuxN/3ly4Onb42tMc7N9BT9f82mE7TP7ecdZg2tv6sDo22W7zUrsdcQNT3PBPuma/VuT5RPzDX+2f8Kw/4nQXsZ2OHXOsPnjx3K7vf+zyC9xLr3OSsxKrX+qSg6Q2j7zQtZKmjuO1puquo28GP/thxluBP2072j/rVuSzt3QF5sT4tV/7tW07Y3p2nCLNfmPK/sY2/sq08aVjB73iFa+4/Oe3WoeY4R/prvhpfHfgw5zzd4f/vd3RH4LVvmcr+1/1qlftMPuEaSfM/zt2lBndh752+Afmzkcqs7kYrU+r0vC9uO0mPs1x+UC0QBVM86juOKF1Nl4dV45fOp075fB9iAhNnCPGsf5YFuxwwy4l5waoKV+eTDpPAuNntj8nn33qvCHxnHxwU0/50mTuleafKZP+7A9vpuRn/bFc3RF3luXDjK+MZvtzvOTZL4aMkVS7o3w6SrU95vHSWZ30zp07J37YR5kj1ixPHHxUe3n14mfKVR+PHDqWJ08d0vYoN/FPQnd/kiHf/Jttqyc/85Wl5G2eVugjQcrJlD8x7v4ccY5y6qPGUrn5Vd0RF/+Ifa5Mrraz3vhGsx5POdljWhv8e8mKTzLHNaT26ax81FO5+mPaGyQn/2i3uqMevHO2xycvNpx56jR7GNl0rn11cFDl0se5j//yifWtuTXlyydfTJyzYfKSx6Nzfpsp3jGdbcqXZrcUpau88T3iTZnak5fXj/KnzBP8iVF9OHfuxmj56qSTpxyl85iq12b6G2/n00zwd9GzXv/6178hcP863ve+952uazn68oIUz5X7bK+7xB0teSzGaRgv7pB356nrnD6NyzEe7fL4nsdb3MzjJUxSp8+cHvrgBz94eiXvJz7xiZM8WY/zwHZzprMjbtLxCJFTYmxwH4Ebp2Cwi053BLsRhuMtoDDofOyxx04Bq53+OO3o0g2Mbn5z9Ko/2ZZO1yMFlzoLMp365Gg63nvf+96Tbjr1X9vZT+3J06nODVmwsjX/CKzqtGen/n3oQx863QRLngw/8LdxIO85aqc6+YFt3kWvH+SV8elOJ5/wjUe++PpHf/RHL/7SX/pLJ183JvrmWmljwg8WLT7mM8HOBv3Shh0+2MM//oXxZz5+17vedbKHb+jMn2xkqxjIn65fsxt5pI6drhfC1186xR4d6XzPe95z8gEb4WhHF3nxk3+0Ez/6VvwoO33If8WPMWos+Ur8W6zp09ds1d/GpPmQTqn+8z1b9TP/zzGhs/jJP+K3+GF/8SN++YyP8WY/8fhJP8S4frGXPz/wgQ+c2jVPXKPupjT9NCbGk072aCf24BxjVrvml7by5pd/TmFqx1ZrAB5bjc0cS7YaB2PPp/xjTPiTv9hqrPnM+La2NB/ZqB9shmFja2MiftLZnGtMjLf+NX/hW2vqb3Ggb82TOa/0CdXP/ClWzCfzJJ1S8xdWY5KNMI05vjGgq3bGmX3mkXr+qR3dzWly8L1u2Rqpz3SJG/0oVorZYpAM3eylk5x5wodkm9PGkH/4Ln/qr3VBzFi7xOGc08bEGPIzm1pn9RdG/mGjcbWfoFMbfW7dKQ7wyGWjtR6OtbB5BcuY1s/WluaXfmtn7WRH8QOzWGdrMdU6RV67xkWcaFsb/mLvO9/5zpONc1zEsnbpNW7a8gf/iVn9kudvsmKLfXzLNn2kyxrxqL5rgo1X0TPuBsbp74tOCWQBN48eNRY80RGs+vil8GZeezgGzESpTpqsNIpfWXqON/naC3YDTpdBQkfcE3Pwr8Ilpw5lo0XVoh3/VPnETzKKUz9ZZelsl1145QU2/CNNmZmfcukvnXXavPWtb7144xvfePEjP/Ijl/rCOraZfH6sXnoksvqH+J/9ydVWXZjyR6qudNanG4//LXrJSadvp2w2hFWbY3liiH/xE9VGiuqnfsnP/sWr7bk0+9mWfBjpqt20K/n6N9Pk8RxMuOPfYjXxak/2XNswSpMJI1vFpwUSf9pXO2ltnio9tlHm/4nPjklhTp78Of45nviEP+nY11knDwcVZ/ITu7wUvp2ZvA2Ffyo88ZM/45E9xlbtyYTxjne84+I7v/M7fx129dJzlL4wydWGPL5y/qk85eNN/Oonb+LKT3LQ4UBGfKIwj+lskw5YE5vMsdz6GR6Z8hMn/vR5WNJImznu+GL0uA+orfr0yeM3vyurnzLlpQ6qrBEOjBx8PGrExqvo8p4JAtOJ5TmSM4BI0QTMWUceOXW26rR3lHkVDjnbsV3tJ1a89Ejx/Gsklw756sJWDgtvBksypeSS1Q4+7Mkji0rl/RtAePnwxDj8pCc2/EhdmDDQlK9uysvX98mffZy2kzlXxoNTX5OTpreUbPz+DVSuTnnq0bb20ilHdtLsT9dE6492s167iTX1qKucbjwEA098ouROhbs/MNOpTj7fJDvr8bSpToospqhycifmEz+1k9a3qav29EW1efWrX315z0Q8MrWXp3Paj3ek7MOfNhrfykcM+lDpqXD3Z9pZ/cSPRy782iZXesSuj0d+8qXh2Vmi+Nrl4/jq2k7CT/zgHfUdef6t2iHM9ufw9ZVMOrMDL7+mOywyDiSQPFJ3L5uSSd9sN9uqR+KTTHJ44cuj7Kn949wv21R5pmSRMzz+maN4Mz2n6yT8hDxfTvnyybR+hqO+vLR88urDKK1OepTH46Mjbm0nn6xyvq+cTNgztd8QPzeRnvTSKmcmnMrS2SZAKd6R8OJPhyQ36/ByKllUGo6yrYCRV1caXm0r117apDjKzHJ4V/Hon3aQi9TRkV/wyUbZMnlT9iivPPsx28lXhkFOOfl0HjGO5WObcMidq5u6jvXaoGyQ2mYfz5WTry3cSeFMfrzaSNVn00wnVvl76Zx6yktnP8KRwpp1yulXX/6IpdxGLjq2n+WZJ38s48FsnJSzzSlYp0q1iWb7bCFfHB9llSdPm3MEIzvU1662tZt2JhdebeJrM3mVw5p18tkQ3sSJRy5++fC0r+6UuftT3dQdb8rDSma2nTqSqV5am1K82sjXp8lLxmXK8tmUDmn5iZGe5E8Ad3/IJle/kp1YYdZu4qhDtZOf8tXjR1N28iZfu4mTztLqkpMi9ROnfGn6rkqTCze58JXJJFc65eXjk8+38hNn8tUhc9IlKQddN40ub8DUSUdFTvHW4dLZqXil1VUunfwcq84pQHSUO8dLpvTU8NBWXfhSl1Ck4VVXeabHvHI0dU4dTj+hqaM2M53t48c7purT0SnSq/CPbSuHka5ZTkZqmz6Z8ufys+25+skj2/ji1zaZWS5fek4mXilZ+C2AtS0lN/O1K5115UtrO+3PT0eZ8GaazFUpWXiu05a/Sjb+SfCJnyNvlstLncI3j7M9jClz5ClXX93kzTr2K8O/SmbyT0LjZ2Id8/ln2p5MaVCzPPPn6vHIHPHPtUv2XIp3pCNG6wO56kprW7k0/rk2yUjZ7xKfdMpelZ9tjzIngCd+klMU//fy/5S9CgN/yslns/sxusRxr/bVhXNMjzrCn5fQp8yx/bF81HdVGb85EEayM62uVN395MkZY366afRMHbQZDIuQm05WUoNc6qhrJYVb6gaYjvjw5gBeRy9MR41unEL5LL3XwZ5t+Yeem0qd2drVh53+MZbsR52qXjkOYsYNadHq2IH3jd/4jaf4XxX32Voq/lfbHTab4Te34q9MG9+VmBPL9W6xv9r/+dzrrldjZz8dzd/0VXfdNJtdRnTmbDU+++iw/u+m9gGr9eQj+2A3+N40etJlju6SXtmJHART/s6dOyvhnzSx4Ps2RJNZ+bpBW3uYDiiazPjwbSvpRS960QkzvSuxnw4s/sk3O/TduRs/82BxpQ5jmf/p2DEGfXtlpd1hsd/TUl2T3mG/8UWr4x6mOTa/7YK3mowv2mE/XI/O+ue92vfstb373e/eMr+as3eeWJ9X+yd8TwK5sXA1Pt8XP/I7KJt3xWg+8kRL91bt6McuzMsbMHXEJHCKZSXBtTA3EB7v2UHw6fKoUjubFXqyO3z2x1uBf8TwOFE+O9bdhDL7I/1YTR5DhGsMVo8D3Py/A99iB3+13fmY/R5rdYaRrh16zK8duPoAl3/KnzKLf3atP9ksPt17tpqMrc1joTv9v8s/2exfvfsB9GUlwZ/xsxL7iLVzDtN14y9z2AFbhOY1v6MTH6ZsgJ0ytrgJoHlN+mHwjm1g0iGlo8cSlas7tnnQMpzINbnutk1vdStS1+P6Vwz/plHXE3fZXfwUT6v1GF9U/KzEN57ws33H+HqDrXlcH1baD4v9cz7swF+NOfGsbzvmLR380vydOlfks7mXMu0YA3HZ+O7Ah+mdEOJzdezDtmX/Cp8fMaaOY92KMp/YrHHn7itZoWMnxuWZCYHkMkf/DFYpNQCdmSi/ChtOk0x+/iNrYOhcQXBg8lOLNVy8lcRXdKzGXWnjvbCeLrt36Qm38b5XXx+0DvbEXRWb046f/Mmf/HVPc8z66+Sn7dfBeaq2jcFTyT1M/Zy7D9P+Xm122p3vPa2zQ8/ElJ/le/X5Qeom5o7Ybz8z9TyIffcr21jcr/z9yln3kX3wjbzMwTE2A2Giuaa1kgxsgSPfc/wrdYRFj+fI0yddEVgw6gf74bale1Waf3bhr7LzKpzp/6tkrsPvPQHXwbhXWy+9QeaDMVhJ8BrfFr6V+LCcBoe9g8yB3f4Pf7Xv+YP9+X+Hf+wMWh/aMazUwyedmViJCws2/8z3xKzWwSfew7HjMlDrc/N3te3w6LCJ0R3j25rzDd/wDTfyaY5n3D1lf1oxBRMHeSmQU3WrqCCVpsNBi0FZRemAJ1BbqFfpmPhubnOnLezJX9GX6R94q/Hf/va3X/zgD/7gxZve9Kal/p99zz94q/w/8bvE1BjPuuvm+Rt+/1532Z/tq8cXnsXUqd50XNcns731gQ7YaLV/4NtWrw/1ge3wd9kPv22H/2F72sIbilf7H7bxtH5a3yrnu1Wp+UVP2yrc7GX/zvhh91wjVtkPp9h0QOqJDq+hf9RI/6+iy78whDyys/oGHLiclBG9g/wqgx6UXxDRId975MPBuw6FL7X1rv7K18E+17b3tU+fnZN7VHl9v4J9fLSa+KedAR+tJDHq2wFIfof94cNuTqzsA/xeWrXD/o997GPLdwT1nz/Ezw6709H82uF7drtB1Q5tdR/Ce//7319XlqbFe9+H2eUf32BxdmI18Y/1wP5lJ9EjRlevPWzmc7j2wTvPoO3yz+V7JnTEEZ1TLCuJ8y3+nCTvbvOV1AAU/I7a6UHS+A+rc7aXn/j162Gxz7XrpTR01Y9zco8qz/iye5ft8PNNBxUrfVH877Q/7NKV9nvPhH80uxY7/mkur7Q7LPHf+MZbmRY/O/zDzl4apg8rKbweLa68Skf+2OV/sW5z1tvNhavth2c9mC9dXOWbcNhPTz6KvyrNJ+aYG1VvGl2emeAog7HrzVuwOctNniupAYYp719BRB/edUj7dEh7hh+m8uodmn+VMGHfROKfHX7JF+FXXpmye/O61SwAAEAASURBVMZnk3uljs4awNyB7w+BHcMObDbz/y7s8KU7yPjyP9rRB5hOge+Yux3AdQlitQ62z/hf7R94Nv3gox3E/h1nhbI1+3fNgQ7ofAht9X6lPuxML19axVEm2o7LHAa54N/xzvEC1QD0oRc8OqXXpYnlnpL0XRf3XPv8cxODSX/yzyrfH30EH/YO/xhXnzVGK+LmaLsy/J3xY/6249nRB/G5AzdfdQp8hw4xI37QDny4xredgvIqKt5dpmH7avvDLP5br1fZH07rW+XVafGzGhde6w4du8bYOPjU+c5+7PANzMszE5zjqNcpnJ3UzUOrdHB+gS91iqjyrHtYfWGUHk+Dp+th8Wc7OvLPStypY3c++/VlB4lPCyv/7PBR8b8DH2aXyXbg87f3TPB9Plo9BrsvY3kaZRfx+Vwfduhxmn3HDYBsN64uYyHl1QSzU/ir52/2uzl41zsU2Nz6s9o38ODrx64npjpA8a4kZyduGl3eM2HxsfVSoFUdOQa9G3B2UHp+5md+5jSZlQ3OikkxMdgPe/JW9Qcu+7N7h45Vtl6Fw35264ttNXmDXpNutX/YO7+dsRqfL/gHwd6B71XFdmY7fA9z2n/qyMIf/vjsZz97GT8LoS+hZnxeMhdl2C9+dpzGL1ZWPmk3u21srf/s3xE7dMH1tJEz4Lt07Nq/ZL9xcOZgh/2w4Xqx2qP4JMeMl3P5yzMTOuFa0I7LHCnmrBe+8IUVt6Tejd/OZtW/sxk4nvNu0Fd2IB3wszveSj27sRpfPrKtJv/MdmHDnfbv8H/xI0Z34LubvcV6tf/hZf8O22HC30nZv0MH+1/wghec/nmv9g8820c+8pEdpp/mlJhkP1ptP0zx48yW+/JWxyZ8tHN8W5fv3LmzxT+P9+Diwrc5vO/jptGT7pnwj8bdyKupwJTOf34r9MAsMKX9s4m3QkdYUv9s6g/s6lbogRH+atxV9j0VTv9cp4+eqs2D1PfPA/4OHeE/iE0PIjvPbO0Y457maOF7ENvuR7bx3WE7zOKf/asJPv87c7DLfl+t3HVmgk9etOlDZeYSnzjzV36l/2HD/fmf//nTTc6r5274/L8aOz+Eax+zKz7pcvZp9de768PO9Ekz1rUsR46rqYGW7roWBNuRtVNEBr2BX9GXsKTzqDr+Ch3sR/yTv1bgPt0YJkF+KV1pg9P44eazVfhwe5qps1ursMNpkagP8Vel7ntC7F/tH7idft2BDX+n/xvfXQda4evHjviBuet+AzYbU+O7yz90tP6vjp/mU/FD12piMz0e29wxvuyF756M5tnqPuzEuzyY0Al32nohx2oyCDYDUDCt0hFueC2myvqk/roUhtQgw0U7jk5Nhl2Bel0/3E/7udjlp/tpd78y8BuP1fhwW4x2jK0+Fj907bDfe/13PbrG/ubvatthwwxfeQftXqThG9sd8QN3vvRsh392rT/Fi/nb462r7eef/L8aOzzjyv4d48tH+uDFiz2VmN6bkF4eTDDWZQ53kq4kDspJHOU010qCbWDT8fnPf/40IHTZ8K9DtZfasn8F9jm7vvCFL5zsVkfHTaP5bvwd9k/81b4xvuIHye+wv/ikYzU+m90zNA+o6VlJ4pMe2w4Kf7VvsrX5u8t+321wmWPHHwI2v/zlL68ry1P4rT+r/R+eewF618fKDjSexrf8SnxYcG07dfCTJ4Lmn7LV/diFd/ltDgpMAP9q+ndQAKhrgPDK46N4R/ljucFw0DIJP4zylY8YV5XDrn62D1OKZp3ykX+UCbuDlvDCOcor82VHr+EnJz3yKmsHt7ZHWeWIHKqt/LRplvHf9ra3nb7N8eY3v/mectrBtNXndFV3xI6vDdnkr8LBj6ZsuOFVTj782ba6e/GOOFNWPr/Hl0675KfudE5+Y36sC/PID7/6Yzn56o9puiffzVvPf/7zn/TvD07Ytak868JJ75RRFz+5YkM53OqOaVj4R5yjbDbV5ir5dCY3ca5qE1+b2uM132Z9ebhTB35tjynZ6msTTrLh4dvyY/Wl5Cbhu8H2xS9+8Yl9lFNG6Ss/+1abmZIr/qVXPQ0026QjHoyZv6oMX9t01OaqFA56qvrHpR7v+/QnPn3H9smXqj9SPpl8cg4W24flh2TCSWd86VG2umyr7F0fncGJ96ik9e+cPc96/etf/4YqdOLd73736fFQL3exMDmwcDTpcRjXinxoxk1S7k1whOaGF2czeue9ev8e/TvynnrXuD/zmc+cbrpxGcUnki12Lqd4W5l3kLvpx7Vk74V3mgomnerZ4Nlkdco+zareI6xOB3G6o2n/+Azwe97zntOzxnTqgzcaumHGjaW98AUGnv6wMZ198Y9O+HQiOPqP9653vet0gwx99NLv1DIsqUDTT/jswWO/RUC5dvKenOHH3ufP1g984AMn+/GQ0138nX+ksOkQ7PpJN3yTqL6l0+Cz01jZfuzHfuzida973alvbKVT3xpDOv27MiZsy243rpH1r4JO/mxM8g+d/MMeOuGYQPDrJ4x0OgKHn06xYyz03elW/dYf/TQmbkyCr058wDFm2uUf7dmqXfGTrfrLVrj5TJwWP/Lvfe97T/cNGRt9pQMe3WzVH9j6xA62miONCR38Q75LhvmHTvHJF+KAf8QBefOEP+Gbh3jFIB5ZbWY/2UB26vTtBnrYaJ7MONDe3CwuyYlPfvKSHH7hA31nv/miXDvx9b73ve90TVe/2aWdvhtL/cVrTIwFLP4xfo09f7Kr+Em3/vrEtjrxZ4z1rTWAzsaETvLsR/rl5u7s56fiQJvki0/zZ/rYPKYTjjnDbv5pzUi+OOAL/eRj/WMbDP7nXz6Fry/80jzUH/NQzJLXN7ZKxYl6uhs3/ix+xMhjjz128j+9xU+2ssFcYavYmLYaQ3rZyu9SMmSz1Tyx/rOH74sfPtBfGOfmNJvZyMetI+yGwaeNCfs/+tGPXuqkX9zAZ7c4wDM/stGY8jPST33ST396xT6dcNVpx37jVvy0RoqV4oetxaA5zS+IHu1ag+AYwxlzxoUOc5/vjBtsONrxmTU7vY2/2OdXfeVvPmk9ERv6y8d0mWPa6dejRmy9ip5xt9Onv4gGX4ctKE6V6hiHaKwOlZ+A6iqXP8rXViog3eQJmw5Uu/SdmHd/4CYXZnZNmerwTNL5Yqlp81HPxNf2XH18KXn47GfHlFePyKD6QmbKqos3ZfAR/3jxSv3Gm3llFO+YwkbHfuP9+I//+MUb3/jG01dDyU07LICwZjttrsJvHMJIrx1z45svkoEnP3VUxrMo1SYZbcpL+acX64Q3ZdLF7nN9Up987cNXB3++2EhdPqht7ZXVo/QlU3qqfOKHzyyOvVintlOmdtWlm0w6pOqnrDzef/yP//Hi27/9208LWxjn5CYu7GTkZ7vGOZ7F1g1ixmrKysMgTzYbycWbOk6N7/6Eq06ef573vOed2pPRNoxk8Mufw8TLbmny+HYcxU8YJ4EnfuKV1ja8o71Tjix8OzwHCnww2yebf06Vd3/OYVcnTSe8t771rRff/d3f/aTxmjLpqL2yjQ5pssd89da34jMZKRtsk6cNqn6mU0/2q3eAYSfJP8qz78q25m11JyWHn+w9xkb7l2w9l4Kip7qgK8+0ummbOTB9RD4KV1m+tD5N2erSV38doDjIcpDyqNHR/mnfs48dtpDOzuUcvLkA1W6CkUlZ9fGU42lzzrmciaZcvHDVF0jyKJny2k+95dWrm7pnW/Vk1UfkybQwZEc2Vl+5dumUJgMj/sxrk0x9Sy6+FC8ip5z9sx3Zc+3iwyDfDkH+nD3w+UK76TN88umEh2eL1CE87WeKX9vaZG9yU0Y+udJ4tVNG4ZaSn23w2Y7iJ3PEiq9NeTK1xVOWhpvcrMu3ZIst9eGEUXqquPsTbnJ0lJ/48aR/7I/9sVO7qTNdUw4vDHrDlj+W65v28rMeL6ou3fDrL5nqk5cebfOPDf60T7spe2xTnXblyWh3L9nqpNmcjdWFV5/JZY86+XjJTLx4ZKPsrK3y1EcuO5LFI/PdTxxIHOWnTrIRvm3qOObTpY18dGyrXfUT44gf3rF9+PlaOZnq4MaXb92Jd6q8+5N+utKXDMzypdk4y9OOU4O7P8lNzNkmvXjlS5OTIhhIPZp2FTPx1JPTxp8xZzluGl1Gjk44xeJUEMqpdbaOqpvOyWH4kyaf4xAs/1zDJiNfmi7l2T7c6umXb1POJkemUy7s2ijLl2aXdPLCg5U8GadBq1NOV/nK6cWXP1d/Yj7xk27+qS098GwTI6zsSOeUla998lNOXQs9fvhHzDCk2QVPvrrwldlfOX0nxvjJtnNyE7N8OFLjG1VfecrJVyaHlGtTXW2TCX/6o3bJaFO+OunETA/Z+Hj++eXH2TY88qg25asPV5qNyUqdgnWGcdKsl7c1fuRm/lx5LnzGN1sm7lHfrEvnvdqRUZ//4Skfcc7x052e2Sb5ZLL/6DvlbJjtZ549tYNXXf5Thu8gfdYlO9vWRko2+WRL4yfjzET5q2TiS6N014eJixd1yl85GfnGQnrMT1ltqsdHE8eZCfuZZNqhz3bVaVu9PFI36+vX47UXl/uXqbN2yYZRWT35tvgTo7y0NW7K1TY7kg978rM/O6qT6q/LHzfxaY7HH0p/ojd2Lq475YhjWqfjP1U5OSnHofmGwdrPtDZ4M3+VzJSjI3x8g93ATazypRMjXml14bjfg5/qj3p0lH+ce56f7DHVpnfv136mR/nKZGb+WK5OaqsvV8nhHymMyY830/kGw/TM+trHe9Ay/zSu2h5xwis91l9Vjj/jZ+JXH+5Mqyud7Y55/pmxU5vSiTvbHusrH9PaH/mVq5/YM59c6ayT559z/k++lOyRZt3MTzn4x7pZPpefvIlVvnp+Lz6LzWRKky3FL186ebMdzN6AOWWuajf5Uz7MyWunOtvM/JSNXxqe8uTNPJnsP/Jn+ar8Of3pDVtbl5hc4gin9Fz7e9VN7JkXP43tbJ/MkXcsJ1c66+VhF0NkZv25cjiz7thm1sl3mUz+JtHlmQlOMsjdb7CqE3BtSOp60Goy0WAbJPgNVrwV+lpA3fAzceVXEvv1B9WPlfi7sdwItZPcONXlmdV6jKUbwNAc41V6jKcbuqQ7xlbcvOY1rznN41U2H3HE5+qYTweftD7s0jHXh/SuTMXnjvd8tP5813d918nc1ohVthfvrW+rcI84/tW7cXHH+M74OepdUc7m5vAKzIkB32Yf7GbNm0aXH/piuNOj7ipdSQa4QZDv3e8rdZhoyATzz7WdzdR9XX2w4TkzgerTdXGP7eHTg3bpOOpcWTa+O+32VUzjnY9W2g7TzX/RjgVbfPJP8ZSuFSm/uAHTaWS0ehz4p/m7Gjt7xf8O7JND7v6E35oRf1Uqfs6dubwufvHiaSz+WW2/sYXb+rNjDGC6sdCTEDvmLx8Vn9f191Xt9cEcXr020JdPXOZwOeim0eW3ORguQD0Os4NyVNebVuuAz3532prMyk3A6+oSQNP+OdHiX1dH7V2zDLO0upuQsn/1Qjf7nX/mGMz66+bdE4P4frX/4XVPwGpsNvOJG7fCLlW3ipq/O7Bhwpfuxt+1Myg+V9vfnNq1I26N4/8dc6sx9ciyMzerKfziZzV+ePYt3fcUb2WqH/bBrhLcNLq8zMFwC9HqIzuBaQCavKsnGbvpaOtucGUTUHpdYnM48nDrR/zr6ji2nzqPdY9ymd3Gml/y0Wp755mnldhzLFcdiJ6zLx+dq7sOD+7v//2/f9tCNP1zHTuvagu/ObtL166Y1Cc2wxefq+0Pz2WsdJ0yC3/o6KBltZ+yX9r6sND0S9/DT9dK/LBaF3boCNM9GTfyMkdOkrqW1bvfJ/+6+TkAbi5ZSQ2A1Ba+yaC8elJ4mUiLBezV+F4cw24+u4nEPy1I+rGajK+DU7QDn/3GtJ3aSvvZa3yN7S58L7zpMsdK2/M3+8uvxofH/2j1vILJ/60PyqsJPvuLz5X4+cO7YlDlVTrgTf/Ir6Tw3eC/67FHNruMspuK0dV68tGHP/zhm3mZYzrEArf6MkdBX+oyxMpADVfKfi/dQqt0wLHBtxOAT0+0Sk94XtoDk476Vt1NSNnfgdAO+8XPTvxp/w5/w+eXHb5hrzcbip3VcQmbzc2vXfaHv8N+mE5R7yI+gd+Zs9V62O+FT7t8s3N8s9llxOOjy6v8xH43wO6KTX2A3Rq9yu5wwveyKmfYbxo96dscOjN3lCs70w7A9bJ5XXeFjgZB6l/ZxK9uhR4YXuFqwRZU+rTSX2w10VwXRattf/vb3376Nseb3vSmLROOvcbXP7NdB0Ph848xWLlw5H+nGL3ydsc/TGf/4K8e2+KldGVcwkRsNr/E/w776TC+LaQrxzb7w9/hn+xnd33AW0H8PWm1b2DvHN/ihf93+kd8ut9gx/jWh3SsHoM5xvI7+jBj6GHy9+rz5dMchOwofTtjJXFKgwC3R79W6oCVDnfCRvEqP2xaH7T36CNf4e0YbI8dOUiZOh/W7qe7Hb98+u63EtoJ68Nq8lI1fqfLtpKyn//1YbX98MRPuKUr++DbExY7tBofHv9LV/s+e+HvwIbf+EpX+wa+uPFocfMXbzV5mgPtsJ9fdj76yy/OLO56NJRfWp/lV1NxY43bQeHbB3cj+A49uzAvz9cLTlv/ilcpzEHtAHa8b5yOyIdm0lla3XXSdLhexk8rsadd8GG3zbqbkO+egF32h88XOxZU8bOTuudgh39gip8dB7l8Arf43OF7Olof9GU1sXnn+PKPezKkq/2TP7z0CVVe7SP2s301Pjx+cZlm1z0TdLB/te35uDE1B3aQgy222wevPrO1w94j5uWjoRzl9KuPfK0mDuqmxf61rtLRANMh7xRXPDpWBRbMc/ir+hGOCcfmAiv+TUmn/XMcVtkP37aD2Bu2/KrYmbYW/7v+vXoaq7Mqq+1ns0VuZ2yav/BvIs2YWe172DafHy+/2kf8PufvLnz276AZnzvwG1NzYEcfwvc0hxtVbxpdrsoWIKeffCJ2NXFSi/Tq0zew5+LTc/z1YcWgw2ig4esLnfHStSL1nPou7BX2PRUG//BL21PJP2j9rufg2cFm+LsIvvFFzYeVusSNO8G7Lr0i9qd9+Ue6g+A6Dd78Wq0j+1fjhgff+mYcVvs+HS5j7fR/6/Pq+OQPmL45IT5XE5/Ab31ejT/xdr1nonH1RGWfXZ96H/X85T0TJoADih3Ptza5DLa3h+W0Vc6BJ1htvTc93nV1NAngwOzd78rplF9F7G8iw79pdOfOnScd3K2235mz/LI6juB2Zm5V/Mz+wy8+J39VXtw4jW8em3Or/cNO45v/V9kdDtwXvehF22ynZ8ZPelel7PcGyR2nqI2l8e3T16vHlu0wrc9o9RjDFpPsd6ljh/1svrM5Pvlmpw749sHtA5RvCl2emWCwU4wtpqs6UJAKHnfIr74BM3z2GgA3MKIW0+sGbe3psbnBB/auwe4GzPSeOnODfubNSfy1mvg/2oHP/sZ6xxjknx22w7QzcDDB9h06ugF21+OP8NEO3/PH6vWnWMxm37bozNCsu26+sXSZA1W+Lm7t+duY7vaPM09f+tKXUrss5Q992HkD79SxzPABBN9mH7zzfShD5dLsk+6Z8FjiJz7xiaUK5qIg35H1KiUwDQCSPve5zz3l8e30r0thw4Hp2xBo8k+MRT/8M/u0CPZpg5kfitOP1TT9swN/fptjxxjDh7tjjGF+8IMf3LIzM47sZv/Og+nd8+s5z3nOyfer4xIev4h/B3OrY8fYwvftleJndR92n/lgb9/mWO0f2MXnDmz4zdm5RuCvIvi2j33sYxe/+Iu/uAr2acO5PDMhkHRk9Sm6Ar/UfRk7KXx90afrBhYcVPqrv/qrp8UiXvyT0IIfj+eGWboA9mmDYH+xdF3fnzO68aVjBxnfsFf7H55/ZcVlelb1g78t1uHvsJ9/4K7G5gOY0/+r/BJO+JVXp/wu/tEu//RnabXt2Wx+7bA9fP5xBmS1Dr7fPb7wba1BO8YA5nxP0i4dO3Cf3aBaiLyM5mUve9lyPbDpka4eCJiTOoUWv/5NmQfNTyyLXWU48it0wIITfv5ahQ3/6aDsp2uH7cXPSr9Pv7DfP8AdtrPZYjrjZ+pekXeZo4V1h4+aXytsPWKwN//rww7K/7vwxaed5Y4/ZfzhFPjOtYH9xefKORCWs9/2M6upWG99WI0PL7+I0V3ET/bB+WuXnh24l5c5gHPS6qc5coqBsK0+soafDn3oFNTk4V+HJlan8evPrLuOjtryD2w7tJtIjW/+Wd2H/LMaN7w+cb7DfrEifmCj0nRfN4XnMod7k3YcEMHnn9UxP/tt/sJf7Zt0zPkbb1XKZpdRdjw6mM89zbGLxAz/pGu1Hv5xg3BvUF2Nz/7Wn9XY8IrJnWuQPngiq6dqdvRjF+bl4b8AcrTuJsyV1ADAhO8GpdXUwqkPbiCS0kvf1P+wemGE2bvfleM9LO65dvDRrn9O53Su5HkDYL5ZiRtW/ldeMbbhStntBthiZ9atyMOd9tO3kuD1nolVsT/tg2l89WO179PT+rDaN/DZ/LM/+7Op2pLC33VzKvu7AXO18bCNr/hsPV2tA55Hr7sUtBq/+FyNGx581Bodf1VqDMS9yxzpWoX9dOBcHkzoiEdSXvGKV1wuFHg2NNOZn3UnwfGTXCzl+ehR9VelEzuZeMrxOL5yj34ZlHOTojal4c105snBktLj0VC4U6b8xJw8/OrOpZMHP32lYZVO+Xil1SlPwj/WVS49ylc+1s+y/CzPRx+zv/pjej/4yZQWP8rhyx+xlePN+pk/1iv3NNOxTrtJ1UuP21Vy7DW+KNtrO9vIT/xj+VybYr1Hu8kcdYR5xFNG4ZY+zn38N17xGXYyR+zKpUe5+NLy0z/JS6fMzN9LZrab+A626Mn+6s7JT97UVX62xYPpzMq5SxzT7trFqwwjXnlpBN+HGMnIR7UvjV86MfGSO8fvMtlRbpaPeeVzFH76yDhzI0an/fhTRnnSrCt/TJMvPtUnU92RV3mmZGtXGk/ZPsDjv+y/ql3yUnTEmbwjhjr74N6Uq3xT6FlvuEsNrMsc73znO08dcfTo5RyOklwn9UiP01NepuHFIJ4Vlnek6fWin37ikTp3of7SL/3S6SZFXwD0alBH6x6Xcr3sU5/61OlUlDMIFsBf+ZVfOb3IhxyeMyNe7EOn07X0ehuYo0FH/K6J0Uk/eYNLJ1vk3QkrYOn2jQIYvvIGo7MW+qlvdPonZPLDpJNN7DVp1fENX7CDTqegvPLXy1ecitKWbeo6qtdPOtWxg+7+ceUftpJPDzv1z2Um9id/tJV/2N61QbbWD4FJvvHRX3eW5x987/Z/3eted8Knj635mDwyJvoG1z9RGHSSNY75ou8QFCv5R5+05082kYfF1jDkPf4UBlljoH98Ju7Yq5+NIVz+h0Xe+ErFi9jkz+NYGgfjlR54cC1ofDz9I8//XlnMPn2lg/10w9AfGHhszFb+4Qf12vJF8sUPu+GLh+JNHMBgD3lEnt1h4BVv9ZOf2MCf/EMnXJ8g118Y+okXrjgwtmKaTvbQo4/k2VRcalf88G/tml/1jX4YxpK8+dOY5B9jwj/H+QiDPN3q+dh3Cdhf/KiHzx7jpa906nu8dOpfc46fyMA2jhOfr8PgY7h8oj0/y/Mn/zQP6ycb4/EJH9NJnu8++clPnsrZTZ5fxIU1Cl9qO2eremOT/7XTB31hj/XZpSZ66Rez4r54Jj/7xsczxo0J+eLHmDSn+Z3/YVlHxEMxqG9sppON/MketrYu42W3mA2jfpL36CZ92pCfcdNaV1/YOGOP3XPMm8tw1bG19bl9SP5s3Ogt3siz3/4K6Zs+N55iSP30Ef10sBFO85R+7YyL+Efq6os+wzMeYtiYiCP2Nee0UWeMjQX7HjUyN66iy6+GCkKD40NZr3zlK0/ynMgBOqyT8pxC1kAbGHkByrGciYfkc6Dg5jzEwf4dqMswbWCTC5esNuQauDDICyD20sMGNsobIEenbDdItjAEK1vJ6488nbCyhw48AwmfPQgeOfj+fdCXH6pLXr/y3azTR7ZrC7c6+tjZIsY/ePqDxza6+ZjNbK9vYdCtDmnLZ1K8dArSH/iBH7h4y1vecum78E02k4A8+/IxnWylk2/oTWdjXn/pNFnyD1v0gby+S7O7MQmDzukXdswxkYeR/2EjbeinBxY/TT3y+mbsySB9g3/0j34WP7Dqb7E/fQxDX6Tasa/4rB+N4dSZ/dmtjbZsy8dTvr7giTdyydONsoN/3vGOd1y8+tWvvrRFP/WFjXRmG4zGVfvGkHz91Q6msnbq2O/fqzq2sIkd/J5/yE5b6eELKYJHHi+fwYAvfsQ/mYlxLn6aE/Utu+ubVL/o4EcYdg5dV88OdqvLP40JXmMIB179TB4Gu+Gzw07ffQHyePUzG+HQI7XVb9io+nQ3Nuk2d7/ne77n1I68MaCncWM7v9U3dTDwGkN9Ig8zeXV0Gl/+UdbGnLYuZP8ck/oGA9FJvnU2DPrpUucAwtoqzzYp/4fPH+yYsccndEx5/caHS14de7yHRvzQjWoXJj36UMzSg9KvnTy8cz7Cc3BIB5z8XOwrN2bV0cEOuM0bMnToRzY2n/zhcIZ353dkTp1+iB8+v4ouDyYIEORkHZ3EaRNEmYy0PHn50ikvX50jRo+vKePPutokewJ74mfKFyjZOeUn/rQx7Il51A33nJw2yTpydeZg6lQ3/VYdvg1utsCqL8e8MvsFUfLpnW3IRbN+tklnviLXJ8jf/OY3n5pPzPLhhS9VF3b85KuvHfv7GFGy59LkqzuW8ScvG+A7BXi0h2zjVzvpkeBk+2wTz/g+lf1kERumf9OlPvvoEBsWDLL+cYv/KFsrl4ZR23Qe5ZXTIbW4WrQmhRXGsU67Scr5El9ZW1v2h3X0AX68Uu3DmHqSxUvfuflVm+SlM69+luXTJ0Xw2XMc39mOXG3La4M3CWb2pke9PP/4V2m8lY/rAh6aevGyr7pjW2Vt2lnBn7ZqF0b2hltb6aTJrw37rT/VTfmZJ59vws0eafnahOffv52mnbv2UfLSB6Ha1Waun41RMqXJznT2Af8om/3q8tGUqz1eRH+k3pZNE6+8VLwgvlF+1OheNn15NO9abaA/8pGPXNpfwznoKvE5GxVQp8LdH3XJ154sHkeZzCiZU+Huz5TFU46nnHxYytmgHpH3zwDN+trih3lMw8WfmzaT2D/1hkNH7eQrhzsxksNLLhynycqr1175KBdG9crZNXVqhyZmbScv/DBmG3XpOYHd/QlXubzUZE526klXaTLaxytfecqkwz8bVF2ys211J8HxEz+s2QYPVvg1w5vbxJCv3bQDLzlpBxL44SefnLJ8FMa5nUZtyWozdyLe6+8fT0Q2LPnalldXXpvq4+O1KKrLfvXhlicrj8IpPTGf4OPZklUnj3dufk35fISX72ovTVYa/sy3/uAd251rP3WcGtz9wQt7tpEX//lLuYMK+Wlb+mcKN33S2ba697///Sfdyii+PCzl9MhnZ2ly0qg20tafeGTCS14Kb8qUl6LZRj6eS0kOiOKdKp6QT2a2nfXn2sx+kT1nPxltp2w62JvN99KlrjbNgcrSI4YyPp3pD2PKkonwjbnLKA5Ybho9ft73rtV1pNNHdaTOlsafaXWl6sqXmmAc1Q1o52QmTx7V/pg/V6bjzp07Z9s8CA7s6Nhu3uCZjHTKXcU/ypwrO72FX8AdZY66qi+duss3icjYYJdPpvSIU/mYko8389P+WT9lJv9B890gCe/Yj7BKyUya/PKl5ODduRs//OXAd9aFky+Vqz+m5+pql/1iNd457HMY6Zl1tY3nD8E5eqq2tT+21a62/JP9R98f29em9Fh/1KMM83gD71Fu4lV35M1yeSmf3ws/2XCl8UrP1U2eS0DWuSMd2z9ImWz+dn2//P1iJFfKtvKlYVqf5aPqZ5t71U35Yxv+9+ipfcz90BHriBcGuWxufM+1Pdf+OAdrV5oOaXM2HRPvKH8sh4NfXenE0Q/+OdpV+0c5vfzQlwngepA7SVdSgxxm386ofN104hucT49vK1wXW3v46ZDC3zXQ8Pnnqh3Ziv7sxuAfZCxMvtVU/MyJuEpH8cP/O8aYP/q2CF3F1Sr74XzHd3zH6TLHDmz42S+/g+Dvsp3Ps3+HDpju+RA/q6l4/+N//I+f5lblVXrCyz+rcCcOHf7Vd4PirFuVb/1ZhTdxrAnGuBtqZ93KvH2wS2U3jS5fWmWhc3OIUywrqSA1CLYd3+bIXn0IP73VXScNSwpfP5By+evgaxuO+zHg6kt6r4v9dLbf/e0M9xus9PvRN+zfcSBBD1z3YzTWR90ryi5Tum9iV+w0v1bYeg5D/O/yP79n/44xgNnrzM/17Tq87H3sscdOMJWvgznbhtdLvWbdqjwdnvxzv8QOgr/bfvOqe9pW94H98O2DXQ66aXR5z0QdOXeKbkWnWiAsdKvJALR49q++/lxXF1xYket9CG+VjrCl/MNX9WfW3YR8/pljstLu8GHu8BH/G9ddB3PzrMcO+/0hKF5X48PrQGU1duPZ+O7AN6922g9/x1mJ5o9xveoyVjLXTfl/h+/ZxT/wd6ybbLbt9D98tu/UAd8+mK9uGl1azFEuc3ghx0riHBtqsKWrKOwGoZ0B/Kl7hT54LXYNdvqvi88nNjsxmOWvi/t0tzfR6sMq38w+wAy3dNZfN892xP+r8eHxjxT+DnrpS196+TTHavvZ20K6Azv/FD+r/QN/F3a2wi+G4q1IxYvtVa961Qq4X4cR/q6dffGSfyr/OkMekgFPH6z/uygdu2PIY6eP4jsmnsqvl/dMEPT8setBq8kgGwhbO+FVOsKGB78zK/io9FR4iB+YEazw8a+LHe5Mw9zhq6lnZ94YT7+t1pWPSlfhN6a7bGdvNu/QAdt7YnqaI12r/GMRFf/5aRXuxJk+mvyV+dV+mbZl/y4dH/rQh6a65Xlzl+2r4xOm+Al/teH5u/V5NX54+kBX+uKvSGHyu33w7jNQK+w9YlzeM6Ejnk9ffc0pB+X81U6aCxsdvcFu8o+dfpAyzPqg3bR/lY5pj5uTduBOHTvzXt6y034vxEFzTFb1B2Y3h8mvJn6Z9u/A98IwZxh3kB2B+bWT+Ifvd/if3cXnrj4UP8Z6JTWneppsJTYs+MVnulbrED/8b4e8mrLf+rwrdtisD63Rq/vQgYr7erzM66bR5WWOAoizVhNsZJB7+9wqHTNw6PGq2fSt0pFvpBbraOqOd90U/g7c69p1v+2Nb/aX3m/b+5Gb8bMav/FtDqzGhzfj51x/2WCzsJQvPSc/efAdSJBHpVPmOnl4T2X/dfDZb3xX251NE19+B+28gZdf/OHbYXuYc37t8I+bF92Amb5VOsITnzvjx7zc5aP6sPvsyiqfH3EujxwMgOtN3jG/mjgJvs07zFdSgUOHzSmi9NFT/cPq1B5e5NGveNLr4odbCh+txg1/d9plsumzlTq97rd/Njt8xP7wV9od1nz07mh/5WNa26dK2e3RuO5r2DEG/I92+Ei/xf+cv0/V5weph8/+Xfh8Yv3svqoHse2pZNls8+0P/ZDfQY3vauxi2kvDOnuzUkf4u+xnKx3+aOzUIYa88t0ZnJtGlwcTgtMR0eqjrgY5x/RoVuUVKR1tjkwNiP7grZp09YN/BNSuxbTLTNm/wj9PJwb/5KsdesXPriN3Pm982b66H/Dc4Bzuudj8oR/6odNi4qNKbqb0Jrxzcud8Ky6dBpfuiJ/8I71fm87ZeRWPX/pnuQOf3jm/rrLjYfn87tHf+30p04Po4Rvby1/+8tP4FkMPgvFUsnxufu3wPUw2ezR0xyn88D1avIvyy+p9ZPbCF0Ni9EbegFlHpHVm8q6bbwDCvy7esf3EV7d6koU/F+gOVo62XKec3elTLn8d3Ke7bXbXnx36d2FP28uvtr/YOdcHZxR++Id/+LSgv+1tbzt9cM9p4fslmB3kpud+296PHPy2+5F/UBnxDn9n3MNHpQ9q473kp+27+iBGOvN0L1sepm6HT7LjiH0sJ/ewab7f5Xd20bHa7tnfsHccjE49u/KXZyYocHrOKZYd1ELRe81X6vj/2bvXmP26q673N9BENx7eGDWBHp6nUEuPaYvl0EKhoIgQNaBVQE4vIHtvkBdKPAeeGmyJGLWw6/GNpYKAFvBAtaDwNC2U1rb0QIEWK1aN2SJRiUazX+h235/1f75353/1uu7TNefD/95xJOuapzF/Y8wxx5xrXXPNtdboQL7NIV1eHXSqvCbp9A+/8FT8cPq2CLxZup+q203qezc+WqU7+2erm+h1XV5ftUVkrGiD/nUysALx/Oc//+zZz3722atf/eptWfOrvuqrtn+1f+JP/IltKfgLvuALNl1uoofbBHzVxe9N6m2CrvGTfa7BeiuW/H+F7hRq/N5KuSsq8Rn+r3+bL66ocuPiX/iFX7hYebpx5WtUYJ8VurONw4qbpwZXUf6zAp/+aPUYsBVg9UbhFfa57yXprogejw1WsxvSxKOzR/3r/FPkwYbjELcEZaJGM/D3uo1LaCvw9/Jmp7uN1clsdhvYp5PlbN3pyn+E9fssGfAcNgj/1b/6V8/e8573nPl6q0nj9/ye33P2RV/0RdvXUH1e+g/8gT9w9imf8imbaHWy5VW60PupT33qdkEyW3+yR/tcpctty/N/smYTTON3BTZd2bzbcKtkPPOZz9zMMrt/4SH2X6U7Gb74u2oDJvz8Z2vMgh+2Gc8xM0XA1gb4Pqe+qh9m6jxiXVxMpPjsq9KcVOjoGfhRiVlx+OPmJ+naNUsGfDYKt3AWPvvArB9m48/S8xiOf2XZvfAY723ybRLu5DrbNvTNP1forr30/+7v/u6z7/qu79o+ZS/vp37qp7Y+d7/XPokXvvCFsrc8bbyuLvhsbhs/cb4BTfqB30uBrqvTTUWP42t2/9IFPt3RCnz2WXGxmx94NNfJpj80W0Mm/jT/rOpf84PDUykriP1X6R5uMui/wofyzxX2WYl5cZtDAxhp9jIRY3doyIpPq44dOi6zj/m3NWIYOVKfMIanbHbH7z/hPeo9W9aIPSs+fgJ4xYTHPiYjtMIe2X+F7vzFbnwnm0/4hE+4GBf50aOPPnr2hV/4hRf5tbHyq9qLb3ya4Cr+zYg3/Mk+N6x2bXb+w/baMpvYg/5oBT5M31Toj8BM/etLH7ojp/QsGTAd7EN/8dkE08WQC5bZ+odnfl4xdkdbkLHCPrXBbZQ7/zSH2xwrlokYyaEDLPOuJPgrOjoHDZ+M2jSrPXv7ZDehAe4k2spLZbNkz8Jhn+winE2j/6zo5/SfrXu6elWu72d03/hv/+2/ffYN3/AN2+RhIrfhMtnZkQ3VD+Mym46v074O/2VY+zL6jPbfl5+apu/4tMupePv68Ff1L1ns4zbKig10dIdvj80qMsewT7Jmy6E//17xNAddV/sP/VGfnCBvNsF0Dl5lo9n6jngXKxNdjc42UB1AqHjLyKMSp8RhjjLGZdIx/7YywmAfcas3s2006nbIPm9605u25W+Phfk8rWXyB5XYx4VX/jRbT/bpwq6+mSkj/fXxCnyPfH3qp37q2Vd8xVecfeM3fuPZq171qrM/+kf/6PZ+FDb7nu/5nq19ZN/Uz9RxobLK9vTpImiFbWDCX2V7+Pp3he58kN6r8XuD6kyfh8VnEP21wzGb2L35eTY2vPp3BTbM/PLQHD1DJvzG7gr7z9DxMoyLiwnKc6TZL62COxqmZcbLlLpNWTJaJuVY5d0G71gd+FYIVk1Ie/tw3K/92q89+97v/d7tuwuvf/3rz175ylcue+rmWLuvm28JsNsQ161zE76WYdVZ0b/017cr/Ie+9LcB88u+7MvOnve85515BPTJT37y9v6Ab/mWb9n+lZBtUrmNj3mhDvt3criJba/ipU/+ucL22WeF7vmLpxW6GL2qvTctZx9PK7R6eNP6l/HnC15KVvwy/puWsb3D/LYCHyZ8tzlc8IrPpHSm/0p6PGzkNseqi8altjkfuNvajc5w4rKnYfZuVZODAUwGR5q5hJOTFuqE8Gc5bNhC97L8u9Sm8AtndBT8dvKSh37gB37g7Iu/+Iu3OFkvfvGLz/7G3/gbZ3Z230S2FY5XvOIVZ294wxtuVG8TfM0f+mf/7HbNqtdiC38FNgX4Ty+MWSHDtwN+7a/9tRcTtv6rnzPATfq0OoUm61/za37NxXg7BSvMQnoav/wTzcSGZ0yZg1bs9oePVvsP+3ilOdvMtg/7u1jx4ic0Ez9fp/9K+1t58tI5x2z92aT+nYkNNxrHwGwZsJHXM+hj4/hBo8vafPGhL0rr4D4SZGBrXA0svg/VG3mk93UpgEf+f/7P/xnLfXXCLH+sX9kYxidElYUvHPOLb5mP/agzUhjlHwrlmazhZ9TaBusYRnKOYY7tNVmEVehCorpvfOMbt8Hu3njlldXureCxn1Gn+NK99D6EM+pUebjS4xG/kP6Vxb/HqlyISsc/psXVj4//jPXKLy+MMb8y4T5eXqENdNUNK/33+WGlX+VhVU+6OP+pXvzCvR9Vtscuv3Bf7hl1/4zJCDN9joVhjeVjXrrL07+j/6gTr3DkLX+PKz8a68P1ZyZ+PGO5+IhfWXn7epWPYf55SH71C/fypa+S1fxwqO5V9ckNHy8adZE+9Dp2PNHIfyi/8n2ovrzmn9KF9IrCTdew4qm8uqWFnjZq5bJ6hSN/eWNY+V4PPIj/5J/Vkz/GS6e7NCqNd9+O6gvJGOcIedHIdygeLv7Kx7hy+C7WV+y7Sc9V4cc88sgjLw/cVaMd5RqjU971rned/bpf9+u29+W/973v3R4589KU973vfdvz1O9///vPPvCBD2ybjn7mZ37mTNqqxs///M+fSXvUzSeRf/Znf3arawlWvlfO2pUM03PH8sXJEofv36EnSzyPTx/LV+L+9VqqpJsraHH5LoR0sk/0yjeo8egUExQeqyPi73znO7dO8y8Rj9s72v6Od7xjy+fwHtfD758qfgPAvybx6K1vfevFPdK3v/3tWzZneMtb3rLlpwM7sM3P/dzPbTYRd9isxZ5sIv7BD35w47FJiX3YgU3cetIudvymb/qms6/8yq88e9rTnnZhNzZxEnnZy1529trXvvbsO7/zOz/ikG9FQlt/x+/4HRd249TsoL1Ie8VdVKY/21refve7370NtOzDJk5c2U2cHfSXfwjy2QyfOBvrj7e97W1bvsfD2DASV49sNqSX9hf3yONP/MRPbHXh0pP/ZEO8Jlv2pEO+kQ35AL/iY+yJh49pV/7DD/0j4Cfy8xlxurMDn0H0y5fyE/0/2o1PZjft1+/s4fhn/+yfbf0hzm5kab92aZ80W8nj0z/5kz+5XYxrA5uQWT4e+XDU/fW//tdvtjJu+Nab3/zmrU1sWJxf/viP//hmA5u+XKia0FywNb7c9hnHHbs1NtkKaSOefCm7hZPd5KP8jb/4J9yYyn+0SXv4DNuwGx4hGfkSPxn9h31g6AN2I8fYYCt9kv/g4RPsQI6VInbQt3jE+Q6buA0l36a7H/uxH9ts6F0S8i1H48Hvmy5uV8GUL24l0Nh94hOfuNlWW82r7EZH8WxCDzbX56Nf5T/sgIdvs6c28B84xdkmexrnDnZTj63Yh28U1xfkyedLjUd2ZhNjjS78RFvE/WPWXuPD2MPDR/IxdhttZUPnG8/9ik3w6C82YR82NM95BTwec5h8+PKf9KQnbXLZ9qGHHtrsb3zjZ2fjXn79S2/25D/skP9oc3E2adxpv/iHHrt1hM/4GX0IDjwyzHt8Xx087CXOdvkZn+db7JItnFPZS37jVh+yBX3G8c/X6Oo8StaDRvztGH3UeUMuLq0Yk/PqdI6pokMcjXldRe2B49nnV1/HPfzww1tx2GFxbPUd4khZ+VvGgZ944Ll48eIedEwXfMncwyV7LB9x6P/QuQOPNOJVXxiN9eE6ce3LtVHZv/yX/3LTH2aE9/u+7/u2Vy3/5b/8l7fbG8rkj7YxcYy41S800F73utdtFxXlkXOoztimdIlP2gAoPx2UZ5/KxjpjPPmFYcI6ROoqYx+TCX4Hm411pFE6iauLN4x9nnRkghr9pzrJSq78cKsrjF+4J5OxC0Zvvqw+HphRepYOr3alx+hDeMJwUnf7y0QXb2Uw06u88IXhKBPf21Z99n/o3P9H+8pH1S88JP8e5/Hf0f4jV5jyxvihdPWSn67SnYDE9xS/fHEHWaO8eMJUFr/Qic+JwMlixFAWTriFylDlI2Z5yXXysoF35KmuEF8kbpzSFYVVuXTtKK+TdenCfd3y9+Ehn8GT/k6wLlScfBH56ox6bwWP/RyTm5yxHEbzg+phxiMkL5tIR3jjH/WRV1pcnWM2GnmTnyzpUY9kxZcMaRdeq75hAv8UGvXe43zUeSM2i2qoqyRXXxqydzIVR6CxI/agGQ1/fOIMNpZVL74xVFbd+KpbulA9pOMQ3dGIt8eqbGM8wqtOdohfG5D85I7Yex3jUae68sJLhjKYrnidKCpX76//9b9+9g/+wT84e81rXrP9S8CHf8TBJ72nUR9X/9/6rd9638XEIf7L8Me2qkvmqIs+GE90o07pEn+ys4F0+OoVj0+Yncrb44/51T+GFe8Y0t+J4LK6I94YH+uMmPLZ1DsmXAg50ZdXnfjD24eVHwvhqOMPAXzy0B5fXtjiKF2KC/Gg+ir80f57nH16Azjyc4w3XQ7Jk7enPf8hnrFO7WGfkbf2ynOUHuumc+FYJi5/PHmUl8zSe7nJG/PxjraWRvrXysKow2VxdUZ8vOGOeuFDld1Lfbhu6UKY+Zi8UfexTNxBroN9hIfsP2KkZ/UqG7HGvPBG/Y9h0HcsS38Y1Q9b2Z7GOS79sqX0vq50+o1Y6TCWyfOH3qqEfn7QiH7H6GLPBCYXE97tr3FI3niMIGP+Pq6+vDCEGdg/sz3/yFe98kbecMc8cdgOJzET9iHa19njly7EXycnQ0j/7FObRuy9jqMuyipPTliF8EeyJPht3/Zt2wXe+S2p7Z0EX/d1X7ddgZMbTvGxbmXlJaP8Ue/i8QjDrOxQPXkjby9lilcYhRd/uMnEV94YL0/IPtk93MKRb6w/xkeefRyfW3T5kzQ6xFfeWK4d+7ZtAOc/TaJWzhA+csIpVCa+Dys/FmZDq1PGcW04xB92ZdUd8zcFzn9qT/qyz0hhCNGYvix+iFce/CZm6UO6jbiVX0c+vOaHve2VITi1eZQz4se3L4dpZc5yezzCEa/86pYuLF/YnwrxyO0Gckb+y+KVjWE2G/VKRvNPeux5xnyYUfnC8JWNaXrbXOgP6yH7jxjqJjucsIT7vHwm/4znEMa+LFyY6S5vfyTTGKb/iD3G9/WOYe7lScN1i8ftkrtGT9BwpBH+kbkHOJNymozvPvVMCp8zoa7mtKuyU+SNOGSEDzPbnYK/r9vyX/gmFB+FQtoTuV85o33hzQr177gyMQs3HPgG54q260/4wvo9uaeEsEyixpY9DDOxR73gui+7iuBnn1Uy3J9u8p0tI/3zn9n48MwP/H825TP6V3w2NZ7YP1kz5YTZqtlMbLbQp+Zn/rmK0lkfF18hyzwxngdWyFiBed9tDkvsrohskJxJXTXqgDE+S0YDQQi/yYi8ym4rS32U8/jX1/3QfdltZYz10n+0U21IXvzpVPqq8PF4NDS96XJT/a7SX/mhZeTr1LsOD/vC178zaOwvGy+9cEzeipNN+vLP8BsHlc0IV/Yv2zjym8IZesOA3fiSXoFPRtiz8eneEvuKvl1pn/pVG9Bs/bN7/Tvb9pvS5z/k1AezZcB22IRpE/iDeEFxWZs/4jaHf1CzKQV0Qstos2QwPnwhahmzvGTfVl7162gbfBCnVVb5bfH39ehPlsEGOzm1c+SvzWPer3R8v8w4W5/xNsds28PL/uw+y76Wdf2j1Kfww56Fn43heRLEBQVZK/A9vbWK2J//0Ht236bzOD+UNzM0P/hTNpuyiScg2GZ239IXZrfhZuufzp7YMB5WEBmN3xX49YE5aJV/GrfOwZ4QuWt0b3PEY1r7R+MxoNnE8B128s4kuHUy3BF/VoeHI+xFIuXNbIt2OOkIkZBzoeQJx2MrfIB+Vi3D1sSV+Nl/ln3hwLTvpW9O8M9Z+NlkDD3amFzhbMr+K7DpGv5sveHR2SOzqDG2JSb9wB/nn0mwG0z29qRd8Zn4sOCunN/g+7fdytls/eGt9p9krPAf2HA9eux2012j+/ZM6OTZSysZnSM5GGomhV9osM0m2HRH+4utsWyGXPYhazbuDN2ug5H9V+k/+s9sGaN/1t/XafMxnvQrxDfaR3qGHDiRxxLHVYnZ+O7nju1J7owQ7mif2brDb/zOxq79bhHDno1Pd+RpoOLJnBGG2fiSXtEGe73grsKfvedvtG0689HiY/msuD0Z4968WbircS5uczCOx47sJJ1JOSR85DnvVURWy5hkJPNUeWMbLGPCbam6slNlVJ994MOdpX/Yj0fYbSy6r9DfMmw2L5zVLvqmP8wZ+ns6qi9Vwly1jAwbebFZtznu5cz97TbWDNsc0iz7rMLvNuUKfJgfOn+aw+1c88NMaj7wnglyZvt+urIP7FX4Xhi36jaHNuSftWd2yPZ8tBXjmfj1MRt5ydpdo48eHcfKhGXSFUSOAeYdFjMp/euIcfOovBk0Tjzp31LdWDZDlmW68Z/lDMzHE4N9muxm2X/U3z8bk/UKbHp7+2gnglNkwHJ4UdW49N1TOGObZsb5vw2ktWEmNiz2OcUul+kDd/Sfy3hvUwbfbY5VtgmfbrNtxJfMC30i/Dbtv6oOGey/wj6wkdso5s4V9oHPP1eRNtDbGF5lI33sHLzyqZRV9rlvz4SGdE9xlsCcSBj+bEeqY+HSn6zkzmoHHPgGm3bAl57dFoMh3Wdjz7TFMaxR/9pxjPc2+aP9Z+OzdxfTt8VWr7r+gXVy5DOoZd7btP06dehP1grfJH/lZG0cZ58Vvq9f4NcX17HnTXn0t5NlPnDT+pfxw3QbaxWxeeNrtoz604X1iiX88PXvKmreb0yvkKOPV9lohb4j5sVtDoayPOpVoTOpThYylGXf2UT3Ligs00kn91RZdE53WG4DyUNkFt8yJvyM+LOxJ6h3JQT/Yf9VlH1m9e+oJ0zL1GHf1P74qwvXzvXu4SpzNL5GvlGHU+Nu8xnHyTsVb6wPk32EKyj7w14lw+uuVxGd9fmKpznSue+hzLYP28M0PzeXJnNWSIb3rKx6UgH+6v4lY+Ucpw+0wXdb7hpdzPocyElg9j+PHLNwvA0xy1g6oMHgyj1ZswbciG+DUrhkzib2WXkynq3vHs8GN/bJRvvyU9Pw2V0fr7B/+PX5TfTNB9XpWfSxL8XbALhKf/7ZMvKKPmiD5Arbw2xz203sfhPeFfPPKN/8yf5jv4/lt41n7/bflL4t3rF6zT+zfQeew21cTyrMxtcemPRfgZ29jNvGQHkzQ/1qdeVO3+bg/O61WsKZSXAZKOfvVbOzZHCc8IW+8iYs/1THSu/03eu/L4/vtqFNsNFs7HBXhtlnle76d1bfHrIDfBPGqScDj4O6sM0OQnrXv+Uf0uGUvHGZerYMeOyDTh1Xx9roC5fNGcd4Tskf/ecUnEN12Yf+aJV9Vi7j03vV+M0XrZq50J5N8Nlc/yZrtgx4sBsDK/C1wQXpiltBK/QdMS9WJjSCI7XbeWQ6Jd6gqoMbzKdgjnVzInlkGczyklc41rlpPAxhkwUM6dp3U8xj/PBhrsA+JnNmfvafiTliNVnMtjt0xUgmAABAAElEQVQZo/+cgq+u/RJtvMx/yFi5k50cu9lXLrOn/yn2YYdDBLP5YQU++zR+V+DDdLJk/7HPD7X1pnmwHT5BDnuF/nDdgliBrb3wnWNW4MOEX//e1L7X5U/Gijakg6dF7uTTHDVAaHlu9pUv46OM33PMW+aEn5yo0D1q/yyTN0HEhlU74BdP5gwZYaxe5k3OqjD9Vy3jt8SoD+qHmW2xmlC/3tSH4vdK+kMrfPRtmZrO8c/SH96TnvSki3/2s+0Dv6cJZmNng+xfenbY+F2hP0wbYPsq7EzdYTue+tSnbuEK/fVv42um7mHBX/mvm03ao5TMmSH9zWv50EzssKzK8aG7+NKqi5UJHeE2x+yLCR3gQMIVr+uuI3R0Gzy1Z5Qdz23CEcszwKg23Qbvsjrwk3cZ34Napn/ZxqBYYSMb3OCuslH9y75k3ITS6d//+39/8N4/vevfm+DehLcPKRkLs0n76L+iX+kK3/gVOmZT9l+lP31/8Rd/cenKkOXvFfqH6fZc8dn2h2cD5qrbBHy++WeF7vll55gVMtjeOfhO3+ZgGPdz7daeTZ1YhB//8R8/FV4H64A6+olPfOLF/e7yThUIPxn0L57sU/GrD+/JT35yyTsZso92rKLw64PZckb8m2LTyTK3i3K+fojgryS3KenQmJsta7X+xi87OlYQfP654mKLzlZWVqxMZJO+jbLCPuzite8rfCd9rUx7y/KKOQKmlbNjY2+WP/GhFZRNjOE7eZtDA2qE2xyzdzvDNnBzUFeOyZvVIfA4q7B/ljnvLBnh+Gc86j/G47ltSGf40UzsMIWrcGGn/yoZ/XOCv6KPx5Wz6+Dj6dD+X/qlX9qWQQ/VpfNq+5hMjWNjbkUf7P1fm2cRm61eual/V5xw2Nuq1Ko9K3Re9WeD7o7+2a/wHZj/4T/8h4t9MbP8Jpz0Lz07hO8wBg6N71PlNY+4zXEnn+aoAUL/qGY/GgpXBySnTWmnGr764UqbQOk/yozvtmFYtaF74fJR4W3x9/X60M4+f2Z6ts6jbn1oJ7uNZTPiH/uxH3vhT/pkJsHjn9fFHdtYHf8o6HiM2AeNdY/x3jSfDt1rFV/Rz/x/1YWK9nrpHN2z501tcBX/aP+reG9T3vy2Qn92d5JZgc1XHOP4vU37j9WhM/xVb8AMP/88pscp+XsbnYJ1qC587bjzeyY0zk7b8dsEhxp8m7yM5B/T7HtB48By5e6CKBrLyjs1tISJ+mczW8bqk8Gp7b+qfs+Qs4t+n02zP0S31y/95V/Vt2MbtfWXf/mXL96geaw+/1fvKuy9XtdJO9l4oY5H71bYns7tyViBr42j/a/T5pvw0H/2/LOXn31m9y88x8pPtMNvfputP3+BedktwL0tb5Neja8Nq1YNnFPYyYvn7uRLqxgnx9GY/nnfpiMvq8NIJjkbcGbSOKmJ2wClPeIdp8gbscQtY6LkFp4iY6xrmTy965ex/NR4+haeirevv7fPvvzUNHy61y+n4o314aa//JvYiD76rpeaHdIPXv07yp0VN37d8zahku+YSXv7zMSGRV/jF93E9luFa/y42Kp/Z9sm8ZbxyZmtf3gPPfTQJqp0ck8N2QOm+Xk2Nt2ytwtue/Nmy4BHhvHF/iuJj87Wn7707hy8+qJ3hX0+6vwEv/191BFO9lYnuvLKwYRjnCHrvPJLH1ISD0MJbQ5z9Zvh8B/CGOvgCX/krW7lQvcr4Y/8yVaOKruXOvwbT3rg0tH0t8KSHmN4GOkjc8NWIo7goOyT3PL3fBvzYz/ZMtw9b1hvetObzl75ylee/ciP/MiF3HCqO6bFR/naj/b2DF/I/tkHrzzYh/ArG/mKj2XyahMfbfVpj4lvT/EI6S8sDy85qHz29+9YG5Hy7CuNLwpPWrvt8n744YcvsOSHX9xEOvpnePHtddNeZYfKYSJl+OhjT4kLGvFRv3APhSMfvEM6ycdnfmAflF32/lB9POktPlJ6jHni7G8irTys0nv+MU3WXpfy8Imz/6GJWhkZyUmu/JH2+eFXXz+M/l/dyksLR1mVF8Ynjcr3Ovn2TVSWTiNf/Moc+u4yCmMcX/jlh5W8EadyZWyPxKtTeXWME7rs9TnGX776eyzpCB/KP8cysvZ+Ub34kiMsPsob483RMA7V3+dJ79s74qVLoaddzBHNc+U/CGF2PqTLxzzyyCMvr8ALP3zi1uqEuM1QJg5fPvS+cPeCXbnapOPeoKtwk5d7PG6PEKT8P/2n/7QZwpIrvg+dPyGiAxjJS1f8e7JjleN6Jt+VnuVrfAa6tHyORwf6xE8X5e7tebkHg//H//gfN13E3/3ud2+TqYmdPM4Fw14Ky0d0rG3u3/nkN5muaC0t6WQD1uM5fS4dDgwy3/GOd2yhtpNLpnbCoqP6+MlXxm7uA8OSZh9X55yLHJjqs4/Du/c9x8yeJiXtJZsd4bvQk9aGdFUGHyZ+G4Tor73J1Db98qM/+qNnv//3//4Le9IVPxv3+We2Zw+48uihn/HSUdu0qT7xoptkvu1tb9vK1Ld/wCBOf+3UHw4Y+gQGYhN1+Bs+IZlh4Kfj29/+9s0PtceJQagv2KW+9O9TPv8imxxl0uma/xi06jvY6j3vec/2yuv6hK78HT8M/gMDLpn4+A/fZSeUrvhR/oYfPl/hB3QkH4Y8GCj/kadMP+NVBwY+IR3wsgP76693vvOdGxaZ9M4P6JbMfA8/fOPMy6jYO32qp235unr80ybtbKEe2fL4G0pXfZjPGgd8h671/dgnZPMp44tejZN8nD50zX+0XV568B/9nv+YT+jFf5pH9OFP/dRPbXNNfUIWHbMPHH1sbO7HtDbwQTLx72Wy3fve975tHJLZ2IevHcaffPbh6/j1JTl4ta16zXnsycbai0//eheEtpJPDxi1gxw+ka7jHGm+Yh/68x/+wZf1S/Zkf7ZLR3o0F+U/dILf3NW40of6hEzj3jyiTu10/nj/+9+/+UBjM7+R1k464dMmvgeTLkj/00cZfu3MLsrYQP/Sq/lnrKcf+F9jI/3ZEdGXXemr/+lRv+S3znXOkcryIThsRF/nJu3QD+pmD/XVYRt9rN/ow07GFf2RvjCHmrPwP2hkbByj+1YmOJZO6MU3DBIBKV0YsDSDlK9OeYyFqs+hOZDy6m8Mu5+MHOYef8d+IZvzwsd/jMIc5ZOng5U51E8HjhueiZVDobF+smqnusWrC7e8wuRIO+gPv/LkHNI5mcLKxcMsP2wrE3/2z/7Z+1YmkpNu0rVb/ahyaXEyRrvEl33CFe4pXWEUj2eflj9i1L/xK3PQOd69/jBHDHzystNYxv99P2MsG+uLV3fMdy/7t/yW37Lp0E96pBvM9B/bTn641RWWP+oylidfGDnZPOc5z9lOGvKUjbLkpVf1kqNM3IFHuCf6j98XGbEP8Y+ylKcP35FWHyVvxE+/ZEiPMkrHV1n5cMXVh4/4Z/rv+TaG859wpEee2lJ+ZeGr54LBRZG8cPDtqTrCsTzMMQ8O2eanN77xjWcveclL7sNOTnoJx7zqZoNkxze2i32cyMa5EBZ90nXUccwrnh7SKHyhPztOui5qUNjiycA36h/PKLc8MvBHnV9KV6e0UB4KY0s8li6/uS3e8oX56FhW+V5e6XiTWSh/tJt8FzL6gB89aES/Y/SECjXK1apVA5QDyM8Qgew7MMNULpSXU1QudFVWeWH4QjyIDPHqhjXyjPF4XdmFsQGd/4RRWOeVxrcfPPLiE0bhq5tOI05tCU/ZWA5HurA2VK9JtnJhPOKHqPL6rLB8dcQdtWXUQfmYjif+2okP7e2ibjzpH969Gh/uA+nKqiNNFgo7HnmViYcvLx44qLpsj8Ivf8t87Ke8wnQY8fdleOQlL/lOIAb/nvIBdeLl/8nCv4+X3od7bOUoOxQ+//nP33w5/tpQGh+9tKEyecXxZbfqjCH7JKv20SV9R95kxa8sPuEoUxrBj8ob0+WNmCMOXunaUFn16rv4hGEVysO/T8NC5ccjL/z0L11YHbzRWF85Kq8w3vrsMz/zM7f2kUOf2ofvkAz58cB0jH2vfOzH/jXLR2PdPb6yEUt5PKP+yRTmP7DjKUxWYfkw49+HydsYzn/MzyPB2NOYN8ZHPjqgsVycPG3eyz3GW50Rp/YVjnXh9ni3/LtEF2dJjbVsYxlKI0djiivv0MB9XmVjGEYG0QmWHVF8Y3yPuTE+xltZofrhiyMd4cp3j60snkPhmBe+OmjEkoZPjiP5I9/Iv4+HXb6wvEJLevKjkWesN8ara1KIf68THkdU/T3fmI4//MvqxNMyMfuMWGM8nOqMZcWFUfxCS5FozIPjKH+LnP8cwq/eyCuvdEueY574iFU8Hv/mrIZJj0eY8bFJ+ouXf6jOWFf5KHOsV74QuQ1kuTzMQzjy4g975AszjEI8LTmLo7GseOEoo7zCY2X5zzHsTeggF97IW7o27Mvgj7Yfy6sTRrru0yPfvh3699AFxVhnjyetPJ4xLL418vzn0UcfvTiB73HilX/sgIMPxbMlzn/Ypfl5tFF8QlRaPKxkF8ZTGJ/V7/5QhnVVGMZlIQzU+LqM96oyOId45KN8dM+jrLwxvrdJZYX7Ol5M1jyE567QEzgN0iCNnn2fBm4ynOzaPLTCQGQ99NBDW1tq0yw5sJFbQMVr1yky9hhPecpTLux1Cu6vVF32R2O/bxmTftgHhV9fTIK/+PYBPH1zFb57ofZajP/ujukCi32uwjxW/zr5sB351WxZD59vMDVPhH8dna7L488G+6DZesOkM/zsM1sGfPODe+4rsGGOhzbNIrjsv3r+sd/DWFlF/HM18aFVpB/sWeFDd40+/Ff1XHP3sma/KrRJJ2e1eWYmwSWj0OYi6Y5TZaV/ePQXJw8Vniqn+vBnY4b9eITZJ7vNljniz7YTndssZ2K9Dr5Nfn2c6ir+8GGvsA/5L3zhCy9OZlfpc9O+obONZqvIRUr2X2Efeuc/s22TTWwIdIGpj2cTnV/60pdusLPtAy/7z9YbXvraUNnq8Ww57GOD46q+Td98tPSskN78xgXp7D/1s3S8DOe+iwnLo+3IvqzSTcoYyJEzmXhnEtzwhZ6EKG+WnHQPf5Q3S0Y46T+7DeGvDv3zYB9UOFNm+PXBTGyY7I+uo7s+cuKw1+g6FL5J+zr418EceehjN777xvnsWH5qnM7u567Aphtc+CtsU9vzn1VtcLvLStXsNsCjs9scK3QP3/w8W3e2D9PeIuNlRRtgrvZP7TBH1J78akZIf3ODc3C3a2bgPl4YH80oGUZDPH40m0bHmX0viO7wa0P3s2a2IWyY3TOuTYUz5MGymQ/Vrhm4jycG/cf+mC17b/+Z+NexP56OcePldfsr+8zUe8RyIltJs8fvXtf8f58/K70an3+uWJXQfrgtf49z0izbwMk/V+DD9Nhkm9hn6h0W/VfoHr5w5RgwtzgH18+j3Ac9frEyoRFuc8z+KiBcVAevul9GjsHWvWvpZJ7SCTBGLBdctWfMP0XGWDf9Z+g+4j5e8U5mbLOCRv+ZbSM6j/ofwy+/R8Skr+MLeFZPEi94wQu2cUyWYza1qrICmx31r3GcjWfrz/6r8OnMPmwzW3+YsD0WilbYH2bjaxU+u8y2TT7CPtm/vNnhaKPZ2OE5B9/p2xyM5GkOz8vPpBwHvviKZ2eTwZG81ETasWJAeAnJCtxsDh+tmvCSsypc0b+jrvo3+xeO5afE88/86RC+Mn3TI3Q38bPwT9HxqrpeqLN/muOqOjcp55+rfJO9G7+HbH8TPY/x8s8u2I/x3Dafzivx+Y+XzglnU/am/0p8/7q7YJ/dBn556BHtmXLYZpUM2PrBE5WtwM7UfTXWR1PeoSEGmZ2kMyknzUG94Ww2pT9cG3yiZJa+TRi20GHDHdwOeTOJfWC7MLqLlP1n2P5Q+/Of7H+I57Z5MC/Dzwf0jY12reJdt63qh39bHa+q5340/eg02zfJzj+v2+ar9N2XZ5+V+Cvsoh109gbF3iWyb9sp6fpz5T9WfmP8rrAP/R1uQ3hz5WyCjczPq2i1DHbXB/q4FaJVbVmBe3GDlaEsAa56dJOhHOOjlbMbFD5c8SgnKH2TsLpCB/1R+JXfBPMy3uy/Cv8y2aeW0Zn+6Q5vlX1gkzMb/6GHHrrQf48tTabDv/9x4+Wel36HiH2uy3uo/lV5n/RJn3RxK2W2HO1eqX/4V7XxlPIefTRpr6A+tKYtM+0PD7mNtYLo6mh+m6l7+mqDt49amVhhHzqv9M/awUaz9Yedzflo8WTehfBiA6YlIleMllhmEqN06AD/6FZQnet96CPN6BTYiI32V76VjTJPie/1PwXr8a7L1vRvop5h+30bfNcB7my7kwPTq2zRZbrbK2Gp86Y6wKS/eh2bsEk/8H2bwIXOKvxR/0lqX8BkHxk3te0FyBWR1f7jn72ViVX6eyX+Kmwv29rPb1eY88bFXvC2YmUiRfSveXoFNabyoVUyfL/qTj7NkUEMZCeBFbc56gQyVtxTh5sM+ONgG+O19aYhfCT0URfOCrf8m+Jdxg+/9qzAv0z2jDL61xcz8PYYPuYTrbAP/Oy/953SJkSPGN6U1B/ts0J/96SN4xXY9F8xfrMjnfP/8maH+lc76ssV+JaoZ9s/vFX2yR4r+5cM5xcrE7Vnpv3h038Fdnqa+8d9W+XPDPnonbzNkRPpAB9feepTnzrTLlvHJgPwio7WwSZQcvaOOlseOY5oBb52zMZN39XhaP8V7Wiihr0Cf9ztv+8D6W5v3Fb2SvvQ6VnPetZHjLlZfa79XaiQNZtgwjee97afIQtm/jMDb4+RfVbYJlmf/MmfvEVn2wcevcMd48k+NWzuXGWf0f6141Sd9/Xzn1X45D382Ftm97If9PTFbQ4dbKK0xLKSPKM705lyeqHDv8byZrUjbHjpLw8VbokJP+MzzLOxJ6h3KQR9fbVvJY34swc0PP4jDFubxsMycBsvb9NO+CvJtzn2HzuaKW+0/0zcsOCP9i9/RrjaP+E3P8zQ9xCGr4aSM5tgsjv98/3ZMuB5++UK/6Tz6v4lw4XuqneVwEY/+7M/u3we3QRN/nlCDXDVqDP8c5pJOX6d/Ymf+Ikz4Tes0fmf/vSnX6xSjPmnCA1HWz7hEz5hg1r1D+ppT3vaNpiz2yl6/0rU9RnudM9uM/UY8cmZKQOeDYyof8cjvrz9I6Fj+VXtxNtnymfrTjb8Pl9/E72u0rtyOtM/25Q/K8z+QocxNpNgmh+EK+xDVyu7zakzdYdF595QuaoN5jf6r7C9NtigOhsbLnsg/rmqb7OLOXqF/TunOAevsNFmoIU/961MuJ/1jGc8Y4k4xneseF33OHh9cW3saPFTKd05qfdwCOWt6HD2GfU/VffHuz77pL9wNmWfZMzGbwNyE1Jt4GM2XnrPQv1/U9mw+CeCkYyb4hzjh2+ythQrnu7H+G+aT9/8/6Z1r8MPn31m2yXZcPsqcnmzQ99tcME5m+rLPnQ3G59tyDC+is+UAdNhZW/l5sLG10zdRyzzwKoxwP7OKS54e9/QKPtBj9936e+lVe9973un6jw6JkP55zST6oAG22/8jb/xAl4e+adSAwGOjXfJOhX3UH3v9r/L1Ke4V9mof94rLuT08zH7K7ME7NG2fKrwJv2Vf66wD31++qd/eunrirP/Tdp8E978Z1X/sr8Twm367qp2wLQ5z8XcbIJNby8lQ7P1b67M/2fj05n+NpB6pFp8NtHZ+FxF8FfL0A+2Gqy+nbjCRvddTDDU+Oz8DIE5KSxxH0YiZxbBghvZ9xHty8q/aRi+cHysqfyb4h3jp2+P9R3jeZDz01+4iupftp9tf3j8U1gbhNL6fXzSqfKbthMOPCdL4UyC52TgZLbqhNljj7N1zw5j/5Y3K6Qz+9ens3DDgb/qI2tk0LuniGbbP5vw/1XE5/mPR1BvO34u041N8p/L+E4t86d7hf5h+qzF7O0Gp7b5OvWfUAMwu5BwP2gmwe8qdEVnw6wN4k3WtaGy0jcNwy8MP9zCm+Ie4x8nu9nYx2TOzDeYO5Gt0H/1ZDFOFPSv370/wC2EU9s09u9Mu4flnrpJe9S9slNDtvhv/+2/bTCn2uGQLjAbX4fKZ+TxH+1YsfJBv/w/v5mhcxgwvZRpBcFG7L+KyHCx4qnBFf6zWn/zmgv1LhhXtIGN2je3qh9W4V68TpuhTBSWSWcS4zC6Q0fM/gR5uianz8PW0fJPITgjBvxVExE5bbCi8yj3lDY8nnX3J7PZsn1ieCV1wcD22d8/KROISfBUgo9g56OnYo717QRvshvzZ8Tpm31m4O0x2GTlJ8jp3/xT3+51ODVt5cDjxbP7Nn3d5uhi/VRd9/XpbH5L1r781DT8lZ8gh7/SP837bDPO0afaZKwPWxve9773LXtiZJQ3O35xMaERjDX7NgeFYSOT8oo3POb8Qm8nQ+Ule8u8xU8dHKY3eMIMNzm3gL6vSjjsY7K4q8T+2jLabWZbwodZH8zCh+cNmPUFXHH3L92LPbVd4afvKKe8U0L49jS4aBd3zKbsswKbrvx/tl2ygXG18u2F5Pi2iH/fq/5wdLJcYSN92huKZ+OHZxOzP62z/QceGflnfb4iJGPlHD3jT8uKdl+F+YTR6V1IeHQzQ3UlppPq/DoN8D6u3iE++bAc/nmEV1h5ofxDBHvPkw6F/bPBVx6sZImXfyiMV4jiKe6qdMSSf0zf6sRfeKhOcrzDQHwk9Rz1R7wjfvz7stFe4eAVj6pTWL6wPOFI6o954Y39G386lC6sTmnhIcyxPHy2iOrr0sJR73Qdw3iqky69Q2Ks72KiRwrxk4fStbrlla581I/+8QlHnZI55otH4ZUWJqs8/4xdTKBRbuXCUU75+zy4+Vs8wv3JrHq1Y+RN33Qsjae8kV88+4/5x3hHnvQor7Sw/lJG/1HXEbs6+A7F5aHq7+sqt8GzF59tzI/9jHhjfvHK9yEZo683P8Q31hdPJ+VI28d+rF4hnnjVbf6UH5b4SGPdMX8fjw9OMqxMOFke8s34C0e8Q3mVh4+n8ZXux+rJRyPfiFdZfNJhNQbiqax0fNLXofgLZ281uI4OM3g+5pFHHnk5IEZ1xejd/v6Fubo2iRoY7gN6UYeNIf/1v/7XbVe7Cw8vILHD3es/f/EXf3Eztrzuq6qvjrqWXm2+cVUH3xUqh8L7X/7Lf9nk4GNQjw5179FLfrwiGD8Mh8+zcshf+qVf2vjpRK668L1SlV7JFPclNvzaCRuGtsE1+Uq7X66cHvCVIbZQblOMR7+0lzxyDdTsJFQfPwy49Ldxj33wqudA+NkRD9tkH48FkY3fPUz61146w9YGpO6oq3z8cLWXDuxJVzo8+uijZ1/6pV+61WMfq0UwRvvUJ8mkR/aMX5vgS2cfMj/4wQ9e2Cd7ju2sD+Xp1/xGO7MxfdhaunaGAV892LDo6sBfe/mTcv6lnraxpzQ57FHb+Ex9yVa/8Au/sD2WpZ624WdvGxvhj31S/wrTlYyxv/RR/kAmfP5DBzrCqw99cZI+2gXD2MkH8WpXMtWjF3n8RlyfvOtd79r8HwYZ+gQGv+QDcPJx+GRrZzLDzX+ks6e2fOhDH9rsk176h2xtoj8a+5LN8lky6Mq2+Q/+7CPPo4l2/I8y6Vg7tBdOGGTSUdvUISuZ9Yn2NSb+xb/4F5s/wKB3fsCu7MWXEPzK2Cu9s4t+apyoi19oZUWoTjrSJ/uPPkhvPHv70Cs5dGEffPK8lMwfmvwnXWHUJ9qWzYSjjyeTjuTgpVO6Gl/GS/426mGcaHNtUwafbeCwtz7UJ3hgqEMWPjp6NBQ/It9Yxj/axVimj7A+SaY+UZYfNE7kwW985T/Voyv7pCvZdDX/0LH+JI++8PbnLnlsQ4a62iwvGzVW+P8olwz60o8v0IEMcflk13d89R3veMcmh6wHjeh6jO57QxVGBmQUh7g8DdeJ8nRwPOIMVD180gwUX3nS6sORV748hi8thI/E8cOHW754/HDVx5N+lQnHuHr4UR0KMx71xfE4kgO/dHZQljxl1ROO9oAvzeHwcZZ4YSiTn+xw1ZOHRhuMdcXjqx10jb8ymDktTIc8Bwy60UOaLlF88mClZ/zlVRd/efQgM/zKpMvLLtKI3uIwwhRWV0i2ENFXeTzK1E9PIR784g5ErxGzMjhkK8sWlq392xn54wu/kOzk1w718NcntTHdRz5l+EdZoz3TqTA7kV+c3dWHi088/ZQ55FdGpnL5MPb6hxNuPIWH2laeurUJPznyxOmVLfSJODJJK6MfglW/hjXilocf78hPjnT2GWXKr056SGtn/PFIF6dT+uB1ZCP4ZMKpnerBh4GE6mSPeOU7pB1hyeOv2cy8lX3SNYww5dcm9dNlP+dlOzpWN13VgZMeZOAzf5UnDV9dJEwWfnqPGGNZ9cY8vPCVZQNx8soTOtQrXzy+2q0+PGVhCeOjK/31JcKHjtVRnr3Cwat+9ksPaXEy6Ji/yIeR7HTFI043VPmWuEM/H3XeeR9e7z5XnIE0ek9j3sjDYZSVN/KFEY/QFWHPkkszpLrC+KRRWNLxjGVjHL+0K7zw00vZSOWHr2zEKi4/3uLhl8YbTvHqj/n4UXiHypS7gt8/Kx2e8pFGDDxsiOIfZcl785vffPaKV7zi7Id/+IcvePDHV1y4x5B3iNKhvmOf9K8MVjIKYRU/xjfKSx/20b/RiDHKqXwfxi8/ueLh0793QWiTf2otO451q39MZtjKRx7/ZNJ/5Bnx0qfy5JYOb+STF+HrorW8sU71Khvx9zgjr7K9/vJG7L2OlY3hiJnPNhc0vvBXVt18LH3TX7jPK10Yr3+DvStmLBNHydqHx8q2Suc/YZnfrKw4MZSHp/gYyk/OGJeH8GYXeWN+5cLyxSN1UWWlK9+XhU9/+26k2X+sP8bDGfPEa5/yMV7a6oUTpxPsyJ9+Y14yDoXxVZas5p/Sh8LqjBjie1I3+1eGLxnlCfGiqzDxpFNxYfIL831lDxLVzkM6ffjG83mpJSy7wVXYH2PlEVCjpQtHPvGMW+hkUP0MJl25OtLxlB55KyvEo75DR0fSKLzC8rbCx372ZYfS8Ogf7lh/xBzrlj/miUfllxc+GckZecb4iJF9RnnFx1Ac7h6ntHI0posfCu9xn11M/Nkf76h/mIXKi2+R859DeWOZcvaJ9vxjWvzQoW754Yx56U93J57xwuiY3cb6e2zpxoYQfnZJ/lineHWkwx/59/Hquc1hWVz9UU44Y73qjPjljfxjHpuMpGyv6x5vn66OelH6Zv+9fHzJER91infMi6cwHifL+nFfVvpQeCjvkDz4TkBRPIfqj3ljfKwz2kj+W97ylqAvwvjHsMLySo/hvky68ZXckWeMhzPmiaN9Xml2dxvB7YH4xnCMV+dYmC9Unq83f+6xxrQ4UjcKZwyVZQfxZLigRnve8rbCXfmet/TIW/3/37y0KoPVyFNDRkN1St+2OBV3X7/O8W72vaPteW+aziZkpL94+TfFu4zfBtgVuJfJnFXGJjYqriSrBNmncJY8ePwnXCcGG8aQPO07hcKHs8J/4NvDMP6DP0XfQ3XZZyWN9p8th31WfBto1PPh8y8+WgY/1VdGzDHe/fgxb0Y8fVfZp/Fj86K9ANIrqFXEFdi1YZyDZsqpD8hZZZ+Z+u6xPuLbHM9+9rP3PCel64BAbF6ZSftJ2bJ0HVF4irz0FzrSv/Qp2Ifq0r8Lr5zrEN+DmmcDHWKfFcQ+9fls+8Dz3n1klc7msGiGrBGffWZgpl/hC17wgu2e62r7J29mmH1W2IWecG3ARCvsA/Nf/at/dbHBcBM06SebvOQlL1niN3R3ZJ9Jal/A0B++PUjG1myC72h+mI0Pz7ysDX2/ZLYM2Og5z3nO9M9OzNb1EN7FeyYYqtschxhvm6eD/VNyMNbsD5jAzFGF4dcxt9W7eiN2+EIkLB7/qaF/wv2znNWGU3W6Sf3sf5M6N+H17QN26YLrJnWvw8v+8O0w7wVH6s3oCxjdj76OLrfhcZvSRrsZ+u7l5/+wV+DDbCVoL3tGmv75z+xxSz+Y9kvwTXtWZlI2t9OfnNn2zx6N39n42cJTPzYYzqbsQ//askIGzGw0Gz+8u/rSqg9v3T9viU5YMUmPnVunj3kZ8TYhnJ/8yZ88e9vb3rZVdyLWBodVls/5nM+5DezROvARuSvacpcvJNhltk1gjgQ/3xnjI89t4+kudF/XcvVscpJJ/9nYcN3mmG2X9ISb/6+YJ7J/8laE2aZwpoyV9mm+8Ydvle76FLZjdv/CRPyn+Ezbh5X+q8ZYclaGs22/UtcR+2IHlE5wL+uTPumTxvIp8TqWDBtwZhLM8IWeO3Yi+Ct/5a9snzNWfgqFHw79DYgm1WSfImOsO9s+I/bjEbdb22DIPrNlen5cX8CfbXt49LfJcNVrhdOfXfKpWTaC98mf/MkXF0Gz8dmcf8Kdjc0GjV/hCnyY6T/L5nscJ3vzzwr/Z5fP+qzP2mwjPpOyOf8vvgLfuydsEF5Fq+dPtmGjFZTPP+MZz7iTtzk+6tzpt7OthujoD52/lOaZz3zmNFtlIJ3gX5lj5gal8FPYP7OXv/zl22th/+bf/Jvb875k35YO4ff8cGWn4I96waO/R6dgSs/CJudNb3rT9mjoG97whqm4YxtMFD0WN1P3ZMAfVwxmy2B/LyazERD2THz92YqH+Ox/IDDf/e53b+O3peRV+uuPmdjwnICzz2zbw2ef3tPA9rP1h59/rtCffazCvuhFL1qie/aZOT+z+0j61zsYZtuH7jCN31XvaWB/MkYfHdt2alwbkFuV3m3jluiDRtp/jC5WJmK4jDmem4Yw6wgblGYT/PT+9m//9u2Wx6tf/eoLpz1FXtjhp3/OW/4pMtTNkVzMlZ6FvQE+Tj82cHWSrE0zRbcBFuYK+7z//e/f3ua4ApvObXCDP9s+MJ3MZuPSO6L/KtvAdSG3Cl8bRv+sTTNDb3h0splN5k/jyslS/67oY3Yf55/ZbaDz+MbJFfj0X2EburIPbD76v+gjLfCE0fDePmeJZQXVEZ7bnzlZhKsdb33rW8++67u+6+z7v//7t1cKa4f8U+WFAccLjYSnYu5tDI+c8dsfyd3zPsjp9KfjbBvBhJ+tTrWP+ig88fqgfOEsImfc1DkLNxy6f+qnfuoUnw9zH666/ZMc+Ktotf3p7d/kilWPfPSlL33pEvOE3wvbZgtprNkAa+VAmszZtEr/9NS3nQPKmx3OvDMwW7fL8C4eDdWx7vfN/gQ5XFfVkXfozyaO6WuAX/d1X3f2Td/0TRdvLFwhh/4NvAbITDnuqcN33EXqPfd0X9EG+PnTqfjZeZzYTBYOlJwtMeGHnPwH3Kn671WC54K61YlV/rlC9zDzn9m2gc8e8FfYJf3bILlKxo/+6I8StYzoj1bYH66VFeNqFb7+bfySt4JsB1jRv9nEObgXY63QfxXmR9zmmC2I0etcxpq9BMgxHd/wDd9w9vVf//VnnrMnh9w6Z2abeuwuZyqcJcOJAM3GnaXfVTj1b31wFf9Ny01Gs/o1G6erZ+B7P76y/PamOl7Gv3KZmtzadJkOty2DXf/eFuOqevx/9kXcKLPxNebNij8e9pml6x6H7g7+uYIaY/xnZf/C144VlI26WF8h4y5j3nebw9McXpgxm+pcoS96ziJ4nPQP/aE/tH3v4Gu+5mu2KzrO6kQgnHnigeU5chRu4aw2WQa8y1T/1uez7dN7IGbhpieb2wnuuw2wZ+Hv+7L+hZ//7nlum4b3aZ/2aVv1FfrD7Bn72bpTGib7GLsr8Mngn7PnBrhR75koPTv83M/93NmQG17+yP5sj2b7EDwvgnPBPrt/YZvvG19bAyb/ZI/muMnwF3ZfcQ6ereshvIvbHAot33gv+GyqE+CO704/VU4O5MNVb3zjG8+e+tSnnr3whS/cXnkt/iVf8iWnitjqp78BcOjbAVOEPAbSu/GTORP78cAavz3RpDRTbvafgZmN6cn3TXT7b0/MkBMGeSN+8is/NYTnfSur/jmN/n+qrofqZ58VfpO85p/ZtocP0/L07BdWpbvQPLeC2NxFlvG1wjb1qccqZ64uZgv49G7+LH92SM4qGbAdnuboGzKz9V+J94SWnPo3oDGzaVwpeOihh6bC03vc4W+Zq0cHOdep7Rnrw3v4/N37SH74wlnEPmHPwnw8cXy7JP1n2qU2ZH/p5FR203Cs/2//7b/dLkb5avmFN8U9xg9v/PbBbHxyx8dyV+D3bZoV2GzPPkKPD64gfzLg883Z/skmT3rSk7Y+mN0GusI036HZusOEn31m25++7OORxxW60x/Rf4Vv3kO/90ptMlZQNupidKWdVuh/sTJBcU9zzH5pFdyMJPzX//pfr2jH5kCAPRpEzkwa8f7Nv/k3F7JWOC188prwZrbj8cDy2FQXpivkeTS3/ii8rRz19WH9KN1jX+XdFvtYvfHC9xjPKfnjS6tOtc8hPbLPCmyY7LPSf+jfew4Ote/UvB4NnW2f/NG3OZD0TEpf8/MK+6evR0Pb5DlT/7B6tLX07FA7+Gj2mo3P9s961rOWvlZ+ts7hXVxMOHn5Il0faorh1DAnYnzH+PGkU7HVr1OP4Vd+W1nqa0Mh/U/FvEyX7JO8y3gfxDLv3mcvg2IFZR/Y+dZt5VTfxkuPJLI5/evfym+Lv68Hd9X9VrLo220O43k27e0zGx/efk/STBnpz0718Wx8+85WXazQuac5ZuufTVbNb+nrD2srxzNtD4sM+q+ae2rDyjGsHT426DbHXaOLD30xFIfytMJMqgNgO1qGnSWjQQBPvGeYpf/f/zn3PfDa0uYh+IjMmTTaJ9vNxF+NZaJgk7FfZspkH8Q2s+zjcTIXEWgF/gb82M/K/mWPFW++HPWvf2fZfsROf+GKiyE+2Yls9ritHV1IrMCH2dsdV9un9swOZ98+GfWrf1fYnpxwmyNG2bPi+nXlEymz9DyEc/H3kaFcNc7eSVoHmCDEV1xxjafzNsfcm+zOb3ecyz2V7mHdQwlfSnvGslPlqG8DV7jZbgbu44Wxt89sudmHbU61j77zXg//huvHnu8+FftQu2Ha4LbiRJA847cTzuw2pD9Zs7HD9LVWVH9siUk/MPOfSZD3wbCJDYY2wM7WP7wXv/jFS26BwneMG6jva9ykhCemVjyey/bpP0nVozAzN4GPQuoDY3jl13NHmTPjFxcTGmJH+8/93M/NxN86WEfX2W3QmyWE3v/zsSVdLwT62P/tY8/+n/N2mLDP7+FclJ0ij+7RfoPPWBbPKeFs+5yiy23qPu1pT7vo89vUv6rOuIHxKt6ryvWdk5fHQUf/rN6Kk372IWO278B75zvfefFioNoxKzTW2F+4gujvmyiz7ZKu+nPV5rlkPOUpT7n4tk55M8NHH310g5vdB2zuaP5ZgU9xGzDHW5WzbEPf/GcW5h4HPjkz56BRRvjOwas/WDbKnRW/uJioIe0knSUAbht6xPs2wUx8WN/+qledPff8iu6lL/3ss+c973ln3/ma12yPaM26f0Z3Rxs8TUyzB5x29O0Dsu4itedmhW3YA359eqoMvg6jZUs2/+AHP3hh9uRcZEyI5P9knar/Xh14LePPxiaLzjafrfJNOuvfFbrTH+7KzXPwzQ+92I7MmcTu3caaiRtW9mm+Ln9GWJ/+u3/377YNmLN9CL45uflnhs57jOzSGN6Xz0izi3bMPg/P0O0qjHs3oM+5dMav/tW/ettJ2okyB7iq4/HFU7y6FFBWum9z7PnxVVccVecQr45Nz9e97nVn3/Ed33Eu6F69//Hf/8fZt3zLt5x93Md//Nnnfd7nXeCGvw/hdOIgqzi0ZIur9xt+w2+40Ks84cg35l9VphzVFvhRepYew2Nlx/Krm56F8QuzQ2XqVF59aRTPmJbXu/HFs6P4yKf+HveqvPjhZyt1ovSRjvdQfKxrYrMqEamX/vLwIvlR8dp0yGZjHXwOthDyf2FUfMStfmXxjjzi+3JpF9LZPX714xWO+eGUF9+YXx6c/LNyedEeW358e3y86Vl9IfuHM8pVFob4WFZ+9Sof88tjf1RZ+VvmYz/KRnzZ5RXGn8zy+zbHWF5ciG/0werFU7oQfnaS5zaH8Jhvps+hMPn7sjFf/44+nR6jfuJhjLzxCNWL4pVn8+J4QVTZiFPdyoSO7AAXP76R136M/fhSrm50KK1s5JEecUvH0xiQDm/kH+PqovLupT4sr/rlCz3Nsecfyx/U+MXTHAzjZSK+mog0RodlMHn7uDwkv7A6Y95W+NiPJ0bwjHwjr3jHyEef/kmCGuu//od+6FyJs7OP6QmCc4yPPk///b/39zep4auzryvNCfGQ4RjlF8cnTn8hrNFGlctDdMU3XmGGVbvGNlS/1y1Lj+XJlI+kkxVuPKXj2yqc/4RXvfRQLl7+qLN8FOaIURuVIfWzj3S84tUXynckTzmSF8VfXiF8lMz4C8OXhj/KCUMZvjZeli/svfvhwyiuHp7sIxxljHzi8VUPL/wmxeQmQzqMyoSHyvHFK4zP0xz5UDzx0SN9y6ueMH3jwY/CkT/aPww86iM8I4UZRnWSUb764sfwYeKJr3qFyY8HvzJpssQR+6PKyi8Mf2M6/xlxqxOe9FgP72j7sIRjHPbY/mSFLx1ucfVRL61SH4W7j4eFrz7AW1x5h7zi9E83mGOZ/HDjx1M8naRHOeko3+bCNvlLh5nMQmUo3jEfXvXIkUZC+kcwwileOh51xvrKR1ljvWQmQ9lon5FXHI3Y4vJrk/LRTtLKnYPbuyXvrtDHPPLIIy+nLEMxksdSvJLUs8Be5POrftWv2jap+ZCWHe82n/hHZ9NacVfj6sGwAc8mS0vHlvzU8eyyTTcGsue8P/58xUDIuL/8y7+8vRXQ5k955LmPbWMco9PBK3wtTzK8fRGeVXbfzXITOX/vB3/w7P8+//Tvds9GJ3L68+Phhx46+/QXvWjDsKHFEjYd6QGXbmRaGibT5imdSV9X0C2J4vf+B3l9olobtVVd7z6gj/ZqkwnR8+Z0qx450tnHCUUZOyozyLSPjv4ty0NOeOztkTNy2IfudEpXsvHDZB+y9SH7uFAik3Oy9Y/92I+dvexlL9t0JU+/6Fv2aYmZTPaAywYw6MA/9Al+ttBeGHwlmd7elm+wJ3sog6W9MLS1fm3JMD/wrwUuf/DIJl1qJ5nuJyrjH+xMhrdKWlVjAyH/cM8xOdpGDl3rG20ikzx9CUP/sAH7s7W20pf+oz9oLxvQAx8MPLDJUMYG2kF3+fL04Qc+8IGLcUQ+/6E3+8BCZI4YbKg9Yzvzg7096U/X+sTY4VN8Iz/QTj5en7ATfnZTRo/qSRvndDV2YHmMtrGRLfwjZON05T90hKVP9D1fI0scvnbnP/yL3vmPtupjeI1HWDC0mf/wcRj04gd7mfzHeMjH4Ru/+m2cA/TTvp1kNub0IQx59G5c6RO20YfaxA8q066xnXTkZ9qvHl1HX9ff/GQcX2yM6Kpcf8H35Vl9lf/Ul+xD1/jTVduMf/LHccI+ePNZ9mQf7W5cydPnxos+IRM1f5Kpj/K3cZ4No3ZmT20kE4ZzB5+F0dyFT9v5D/vSm//mB/qrsakNjR3zufnB2GNf/tPcka+wvzarh4/+2oQPf/MAWfwkv21Mah8fzYeMe3Lpyw/0S3NW/a/P+I86bKmt7Ml3ydU2bRJXZo4wxtjhQSN+fIw+6rxT711CPcahkzUUqaiBI+3zSmeUkfdQXR2mEyurvpAhhaj8Ea+y6m585z+v/r9effaqv/SXXNZtmy7vXaeenX3zI9989pVf9dXnixYfbkO4h0J4I/aGv7NB+lcfT6Quxxgx4jsWVreQI3JOpA6C5yi9ZT72I29vt9J7mW9605vOXvnKV555/fioY9h7fiLK28dLC1F42ede7r36e33ih41GGXDYEKVXcSH7mDyycxjJxxNe4YijHBngD5+/zZSvVy400TvpVFc46q8uvuqMfPIQfvpVtmU+9jPaZywvDmNsGyykPJ7HoC4C+eloAje+suGxOheVH4vgQ7UhPcqTxpN/hlu4VT7wU7kwrANsWxae8JO3Dw9hJKMy6fIKlYmzv/E15lcmRGQW4nOUTp/qF24M5z9OiE4aY/+rU5/GV70xrCz50srrW2knVyfgvd8qS454JM8BJ1nKjsXpb3wdK9/XTQ7+9EwP4Z6cyF1cdI6pfJQnr3RhfIXl72WN/lMfNIYuww0v/EL5aGzLaKPaXP09v3ry9vnhjyGeUdfG8MjzKx2vHYf0uNiAqVBHm2THxhcvxFdcWPpQw8dyfAzlirA6+/I6f8wX79gqnv+UFnLX//3//D/OPv0zXnz2P87V+e/nx/mi3dnnf+EXnH3Zl3/5OfP9/Mk+FJY34stD8lD65yTy4s8GpatzWbjndaUbZg6MZ7TNvs5Ypm7pcArTI93DuYo/vhEnLHkoHvoXv1fykfooT2Y41ZEfVSZd+SH7j+XVGcO9LP9qULLilRe+eFT90vjHvOoLHSbKfZ667J59xMd+UK7OXifpvazkFKpbPasPTXDyUXyXhfc4P8wbXvWl6evfJEr3yo9hVy5Ex/jkI/iwo/IL5e8xxry9rcYy8cZX+oelLCpvxFImf8yTLr+4f8T+/Zauzsg3lpW/AT32o7xDFpmRf87jhYT8eEe++JXtdZY31hvj+/7d8x5Kl5ec9JDfkT5WGZxnyi8cdZBXujC+wvL3sqzg4Cn/UD+P+Hu80oWbIuc/Yx026qRfm9Nn5FdnLI8n7H2Y31uZ8KfgrtHFBkyKa4zlmJnEYBmJYT/u4z5uJvyGZXnpta997dl73/vebZnLc7peC55s4W0pZyxM/9K3xT1Wzy2gU/Q9hvt45fs2wSrbaMMM+1iK7I2Xe7s88YlP3LK0YSbpUwf99yf7mXL8cyVjvKCZhU9//buK2HxG/x7TD77+XeWf7OPRR/PRCqK3i92nP/3pFyfLWXJgo+zTyXgWPtsgqypuu8zug/Ce/OQnb+Nrtv7ZgRw+ugqfnfzZ6WIluXchvNiASVn302Z/myMnhe8Wiiv3mcT4DE/Oc5/73DPfJnjmM5859YRcG4T+GXQyKH9me5zoak8DcCb+aiz3vlfqzz6I7W9q//gtU3YraW+PQysTe55T0vRf2a983zIymi2H/fTvSmKf2/TtdXRiD/rnB9epc1Me85uTwWwZ9aWvIq86kdGZ/eHP1h+ew/4E+w9qz03texk/fON3BTa58GHPPoeNbSLDu1bsd7lrdN/rtK1K2BQyk8aOFbepZiYxPudPjgsieWjWoIPd4V9H//rKm9ke9lmBO1PHy7Don30u47ttWSfK2/at5UObsVB+MurCf5A+mE3ksc8hubNkORm4aL+tfS7Tg03yz8v4blsGX/+usD2dsj/8FTLCX2F72HS2qW8FZZNV/pm9zZ/ss2IMkNH4XWGj9F618pTONn/a23PX6MM3484194/SVeMKypnsUF3hSHQmo815dXxyb9sm9Ud9/aMd02P8tjLGevSHqS/uIo39O9s27ME+CPZ1+jYd4ncbwJMHh+rKC38TMvkHvs2RyS6cJQae9rUyNAt3xMk/x7xZcXofWzGaJYN/slN+MQs3HJsvZ/cr7DBbOSud3Fmh/oW9Ct/J3p+NFcR/Vo7f5pBVMsLvqbBVPrrC9jAvbnNQ3EBYdZsjw8xeIuL0dYLQP7NOxLMGxIgDH5GV3C1j0g/7uBAaZU6Cflxg6F+frBB4G//RT6iNcccms/wHLx9a0Qerl2Gf8YxnbPektaF2i88itwlW2IV+/H71bRS3KdGKNrB3G2A3IRN/6svnP//5S8YXfDYxvyVrovobFHwbMK2Ar7D/av+hM9vcZg66ji3hO5yD3eZYYaPr6HFbnvtWJnSy525nUh0Q5sPnj+PNpmQIvXufU82kcXA99NBDGzQZ8seyGTLZB2ZtmoH5eGL07ZLZdqkN+Q/7dNFY2T7MjvLxmyhtvERj2ZZx/oPHtwlQ/bslJv2QuerbB1Skv5PlKtvDX/ltC/2Z/0wy+X0w7MJ/tGOFjeDaAGiD4SpadbLPJuxffEUbjL+Vq1uN3xW65zOrxgC7GwO2GnjE9a7RxZ4JirvX6rGd2cRI0ew9GXUw/DriqpNMulw3TH+yejEMW8mv7LpYV/F5+Qk5Y7uuqvMglfeindl2qY3hs89VF42jDvi9WKdl9LEsbDwejY4O8VR227AX1azoX5guJvgmmq0//Pzztu2/rB59Z88Pe3nwzQ+zbUMOTPODFbDZ/Zu+Hm2djU33MPXvKvuQ4V+9DdArCH7zwwr8+mCVjOzey8tWtGEl5sUlNEO5zfHsZz97ujydDN/Re81nCYGpE/on6dEjecksPEXeiEF/+Kvo2P38VfJm4479u8JO7HNdqt/o4Q2AXkZV3iEMfOmPD81uQ/55SP6MPMvgbVKdgbfHyD77/Fnp+ne23ekHc6X9+Qz8FRuQ89sXnb/Rd4Vtso/+veoi/ZS+NgZXbrJd7Z9sv0pG/erVBneRLu4HcFZX1LP/GcDlnAzVlddsQ8FusB27H36KzDo5DLL+Fx23QPYpPM55u5L6+rr4+NzL9hGpfV+OGoRb3mW88dw0hLkCNz16dS8ZxttMYp+VJxo616eFM/Uf7b4CP11XYNPdipPXRaOxLck9Jcz24a5oA/3gJuMUffd1w6wd+/JZ6VX60y+bW/nwJt67RhcbMCnu+ejZS1B1bp1gUp9No4xxA1cyT5FXBxe2gQtmDnwK/r6u3fjJ2pfdhbT+7eJxhb7sc12743NC7ZbUVRea+FdtrmIL+O5500kfz+5n+B4pC196JunX7DNbd3rCXOn/8PnnbLuMNrbBcIVtyGD/5s/ZMsKDL77KRk6SnhhM3mi7U+LhmZ9XXfCOMk7R9VjdbG6/RG/pPcb7IOZffJtDQ0y6DDZ7A1GdIORIHg/KcDOMAhee0J4Pt2tQeafK2uPTn8OWP6MNMNJ/tM+puo+6+TbHK17xirM3vOENU+0/yrAvIf1n6p4M/du7Dq7Cr3+8Ytfy81WP7eF3vzL9q5/sU8Pw6b/Kf6wuGr9sc5V9btoeFynsw47aMnvShm9+yD431e8q/vSvf2fbh03o7z0EsGfaBzZykml+XqG/8bXCPulvk7+L+tm3gvQtezT/z7YN22tDMlb4aDbSx3znqj8/dHq86TK73nebQ0d7YcZMykBhwr9MofhuGibHBqjw6/ybYu354YWf/qUL93Vum4bPkWrDbXF+pepl/1X6w78J6R+rbSbIq4jOHzr/el+6F15V7ybl2Ydes/Hh+aJh/2pm+yb89J+tOxvy+9H+N7HrdXjhN36vw39THjbx3YZOBjetfx3+t7/97ZvfrLA/+V6KBXs2fphWDpzwZ+M3Z950friOzfc8q2Xw0Tv5NMdoKFd3K25zkNHk6fO5MyncnBV+ebPkNCmTMeqfzFly4Hi3P3ktzc/Efjyw6N9Ekd1myh3xr8Klh9f39sx2el1WL/uv0J18+NFsGfBM1MbxCqK/b9PM1jtd4Y7fvil/Zmj8XscPbivTvpyV/yjr39l9EF7+Wfq2djhWzye8/aufTfR1+G7GSiJjtQ85B5v/7xpdrExQXCd/4id+4tQ25JQGsPjsjSXhwnb0GlLxymY0qAkI/mzsUb/sY0Ii565R9slGs/Vnn/riOtj+Cf2m3/SbrlWHziP+bPuHPxt3tINvN6x8msOegJvYf9TtqjjclV9LZPf2lKxqg3+ULuZm93H6fuZnfuZm/9JX2fQm5XTO/rPxYTtWnijpvHLPSrZsjis9K6Q/33EO9qbcu0b3XUy43zpuYJzRmNEpxVuCnYENo0ELe4+vbJR/OxyJeQAAQABJREFUG5lhJIf+MPf5t8E+VGfEP1T+oOfxofoim83UmX3CLTyG7+re/eWr+Kqf/+A/1W/C3IejffZlM9I//dM/fTHGZreBXVacKGs3/NX2Cf+6PpFu1wlhrl5RfMc73rGpMlv/xuxq/em9yoceD/uzUz50HZ+4CQ/93a6xSdsK1F2j+y4mNGbFvZocFb5ndIUzCX6YPUcubwaFHV76l54hY8TwnH1tWSVjlDc7vuoZ7PTM/qX3Ids1Wdl42bL5nu9Y+ir8Y/Wum7+6f+170v5VtPI9EHQOvzFwm3bU/9WF5bA5sqchKpsZGq8+IneTC9jrys8eK08y9Dd/Zq/r6nYdvuYy/7hXrJyFz3+KX0evm/Kwzco5ju7OwS5Y7hpdPBqqETp51W2OBkMfqpllKHrDFppErKwkq7JTZcGJvIEu3ORUNiO0gQutwJ6h31UY2V9fjHa7qt51y/u2RX1+qJ6re+UmXj4tfZ0TrDr17wr92UP/pt8h3U/Jg/8pn/Ip22bTVf5D//z/FF0P1c0+h8quk6fNY7vF9aNNnX/mz/yZs9/2237b2d/5O3/nPp7r4F6XhzwXKy5atGUmhfe5n/u5M2Hvw6L/qtd1E6QNXh5nXNae+xQ4IVG/G7/XGeu3FUXv2eewdIFNd68E93Kvu0YXKxMaYYmr58hnNYSBdHTO86QnPWkW9H049DdJezd+Mu9jOCGRo4KAL90JoXadAH9f1ewT/n2FD3iCXfb2ma3yU57ylPvsfwifHjZetkrFN667BwU+WmF/ej300ENLT2bvete7Lk5m5M2m7DMbF55+6tscp44rWH/37/7dsz/4B//g2R//43/87LnPfe7Zm9/85u2i4lTsy9puc96KDYbJ9Hg3/Ve14YlPfOISfL7osEHVl1tXEJuYP1fZBq42NMfNbgOfJcO7VjyCfdfo4tscJk/3o9sAOKsh44Qm3j/vmfg6oMnfYzvk5FCFp8iDAdPh0Sm06t6ipflohu5hPV5hj96NfTBTtn+Z9fUxXHZzUWzjJZI2UK9D6X8d3tvw9GjlbepeVUc7m4TYfzbBZ58V2HSF7w28wtvKMH7+/J//82ef9mmftmF927d929n3fd/3nX3xF3/xZg76ryT/jN1qmk3Zw/K3eOlZcuCxe/PbLNxwYCMnSisTs/WHDVP/J0vebCKDjcxBsylMf4RW+NBsffd4TxgN71n8pz3taRcdraxOLx6//H0e8PiLN/HLF3dPcawXf3mjgqMs+SNP8THE498oCld85JE/ppWjkV8aD4pfXJ7HDItvkeEn3q4ww8AS/ii7POXld89yzBNH4VWv9L3S+z+bPZbFL3Qkq3phVyZdXLin6idj5PHoF6qsuuGVFpY3hpUnY0yLZx918q09jwnX7Y1wKy8sn4z9RQb9laN0KCxPGE95Y7o8IaoMTvhhCunQRDLyFoeBLxr9Kx4hHifReAvjqb78fR754Va2ry+//g1LnmPUf6w3xqsjLH/ME+9+tPKwR94xjj+df+AHfuDsda973bZf4Xf/7t999ta3vvVCJ3ywUPPDljj/kZ+swsqkwx/ljnXiLTQ/HLNFPGHVvviVp6f4qE+6fM7nfI6ijdKDjjD2dTHFU1mYhXjEEZ76d8+/MZz/xFtamIwxr/wxT12rEsbmMZz4lYd7KMQXRrrKo399Fs9YXh1lY740Slby7+Xen98YVhbeIayxbn0c/p4/efKdg9nortHFygTFTcKuHOsMYVRcY8WFe4OUroyBqpexWm6OB/4YH9PJkTdiSYcrjpIdvrxkKiteqBxGR/zCaKwnTxr+SMkdw3SVN7ZBumPEiF/I6YRoz3uozclQpp600MpJZeHtMUf84kJ1R95wt8zzH7LoObatsgZNaSFMGOk/1qtMOFK85Sl3jPavbjzVsfrVxks8e3n4ywsjG+3xwxbWBnXFq5PckRduh/ziNueN/PKzWTrhT4ZyVJ+Ix68sHeQju/2tTigb8S7TN148YZZ3D/Xer/LG18hbfKwrHkb5UGrXqJt8PEjbikvDdkTqOZBVjL/wF/7C2ad/+qef/czP/Mz2dtfXvva1Z7/v9/2+izr7+qPtyOmAN8ZLJ1tZOsvb8+KXDz8Z8qoz8o9tiLdyYVQ7w4H/6KOPbsXphQfGvn5y01UlPPLLS9a4ypo+I351heGO8uId+cKWp9yh7n58jTh4Ubzi6ozhiJsuytOB/sXx4im9AZ3/JFN+cWVhl189+cWFjQH56VBdOCOv/LF/lNcmfGGP9Z2DvUn4rtHHPPLIIy9PaUsr73vf+7bVA88Dm5Td//NcraUd36G3wcgGFLtyxW24c6X2z//5P99gGMKzviZNS7rqCG1KcrHygQ98YHuxiI+ZuK3iuWbvAvCKXpODV9HaBESmcnJd7cdvp6slbPI/+MEPbh1LD3LJ9AZAy9uWMy2naZN22NBCRx2obZbDfI6aTFeB2mF5Saeqi79PzcKhh1WV9773vVtIpoNMGNppCZ6jmMzJzAbqweJU9CQHsYt2qEfP7EN/bcOvvbBc0cPQH9KcLV1rR22jqz75+Z//+c2e7KtPHCaj3/t7f++mM/uSi98/QvaB6VYXG8NNb32uXXTMnspMRHQpz6OJbKcPsyf8/ABGfVK/kpkf6Av25A9k6is2rU/gK8NPF23SPqtq6rF5G6SU62f/Rn0AS3vpaima3eXhry9NEk5K7uvSma78Vtv0Yf5GJ+V0pRefhYk/n61P9DP/gaEP4SujM/uQqf+1iT+wBX56sxkbI+3VJ9pJb35AJl30AX52p6NQvj7QThhwx7FJZr5H53TUJmW1l33SlX+9//3v38YXOdL5JxvnP3Qli476hM7sxZZ0ZTN9X5/QVVvo/Z73vGcLtRUOvdmFPvSi5w/+4A+e/ck/+SfPfvzHf/zsec973tmf/tN/+uwFL3jB5g/5D1vDNI/kb9rL/vTSV3TKPvphbCcdYdCfznSXRw/jil3oZ97IZvKaB/ksvY3DbGXzIVsLHfwGj76nC9/MPmxBNmp8pY/5gY+Tn/80vvDnP41f/UQeP9d2dtcnfJLt6cq2+sT81vhiD3poU3NXfcIW2U59fsDeox+YR/ggu2gLfcjWH40TT184J+hnfaVddKNP5wIytYGt8pv6pHGFnz78Rx/xH3h0G/uZ7OaAbGwOgW88ajO58NhBO/W9esaY/iRDX2Tnxik/oD+52qMufdlP/cautrMJW+Ajm32E5iwfczMfk/GgER2P0UedG3u7FNYoh0ZzuGMEDF9UOqMkbOSJN3xG1cmIk4oLOYgQhTvGw45fWB6+8NO/slGXEVedYxSfcNSLfThCeqoPX1pYvT3usfzqC/GY5OgvXp4QdvhbwfAjH1WnomQW9m2OH/mRH9lYqichXpvKr560eGn8Y7z6wgZK9pAXVWfE2/dhvPGULjSws088Y2jS1F99IXQsSz4scbQvN0HwT/naQD+Ef6xfHr5oxMqW+zL9m/8fstEeN8y9bHzpOOpgwrMqA7s2jjYecaofVmXhVb9ymNkn3kI8qDSMsf690g//xhdPMk2mJmVpRzYyubuN8cM//MNnn/EZn3H25V/+5duu9w8jflh22NrtZBuW/Ow/Yu91CBOPsvCOhfgrMz84GVVvtH248Y71xrLqjPIrdwJ6+OGHN/zyxraUVzhiiB+i9FGe/fFVd6wT75gnLn/UW7+hZCpH7KPMHFqZ/EO41Rn58KL4xz6W3/wgrl7+s09XXz4a02P8Xum9X/koHxKvzeKHiA7qVXfk38uRVq4P6M2PHjSqHYf0+ojbHK7MVDh2ABnLSmv8KCieyoUM5eoS4XcUFxr4+3phFo781a9M2NU8vkh+h7zil4XxcQZ6lTapqTc6ySE99tjV3+dLqy9E2Sf+LfP8Z+TbY6gfxlg2Yoz5dK+s/Now5hcPu7Q6Y1w6HfwLlh7tk4zqjHjF4yk8ls/+6Q8vOeX59+Wf26hDcguVRcXjh4/IhylMF/n4Ovbp+IR7GvH3E0p4hSNumGNefMkpjcckHX42CQPfiFP98grlj3XUk4abfbJ7dcKWRqXxmRwPEZ50VC7Of8hBLgr/0T/6R2df8RVfcfbH/tgf2570+If/8B+effM3f/N2IaH+eKiTXOE4bmur8bXXXT00Yolng8qOhclU7mJubG8YI3Y41duXVacQP2IX/YvGOvj2eZWPGOXtw63yY5jj/FPdkf+YHPnxp8/IK05/KwYuSOuDsEfeMe9QvvLy6+Mt4/wn/8STHuGN6epXNqbHeOVCRG8y8tHaPPKN8cq3yuc/pcMbefFIW+1yUXTX6J5nPqa1f5WWlHo8cUZjGCfHMRB6Kc0MbBjhF+8f6Wx8cpDlp5yyds2QVTucCFfgz9DxOhidyPHOtE+yf/Nv/s2bfUZscWQAnnI1rw/oj0b8LWPCD3z+I3TMJjqb6MhYoT+/HPt3r7821Rdj2T/+x/94u336rGc96+zzPu/ztuVjk3ETa3XU7xaTJzDUe8lLXnL2p/7Unzp7xjOecQF5iu0u0/9CwC0j9GL7/hTdEubSapbMezTxFDscEgJv1Uuf9DG7uAXRyuIhHW6bly34zyrKZ/lQc/RMWY0Dt4fcEnLcJbp4mkNDLC9y1JmUgYQ6wzLXTILr4Ezw/SsoXThTHnxyyMuBZ+HDs4SW3rPxZ+l5GY5/HSsJvgkp22QroSv6PlREh3iuqw8M9r9N3evIgM//hStkmOAeeuih+07SN7XBZe3g9y7Yjvl/7YIh3sWCpysc9rv8tb/21zYbe/nSb/2tv/ViUjau3vjGN559z/d8z/aH5ku+5EvOfuiHfmi78JjVBjj172XtvG2ZNrOPe+jis/SmTzZ/+tOfvtnMqs1MfDLSX4hm4sPSBv3c6somZOJP+s/Ue1QPbjKEq+Q4B9uvcdfoCTkOxXW2qyIbU2ZRBs/4Nr/MJle87Wugf19+TPYp8tK70IalEbf8U2SMdcclwNnYo5xV8fSHP9ppljz44WYfocOJ2r8e8dvKhx+FX/rUkN6j/8/Gh2ccoGxwqs5jffrbaOci4Ri+1QSb0LzXweazSN3nPOc520HHf/pP/+nZt37rt27/vvTbG97whrPP/uzPPnvZy1529jt/5+/cqqmzlyMPyS++ZVzjR52xf69R5UYs9OnPwI0qXoM5m7PViguJVBjHV3mzQvZxsdUYvWn/XaZH/mB8Fb+M/zZl6WsMrCQbOJ3T/Lm/S/QRtznsbPUWtFXUI3sz8V0EGWxCt2hypsJTZHGgcIQr9E+/8Js4yr9L4eg72W2m/uMnhhvc8O2VsJN8zLupXHVb2VihO33oT84peo7toudI7tlb6uVDZOzLT5Xb+BpljvHP//zP3y4mvvu7v3tbYfC0xW//7b99+zdKtjHqoJdbMt4H4WkMFyEmTyebkY7peyx/rHsovnr8ug3nRDCb6kd7wrwldDaxJxnsk6zb2viYbnC7TTwbO7xxfjimx23zs8s4x90W61C9+sAm8gfxSY5DOo95FzvFTD6uGGff5khYHeExnZmkA+oEbWgDEXnlz5IHz2QdJaP0jNDjRNmKvLtGThAr9W4DHbuwU33gUUQT1amUf872nfSFX/8W3lbn6ntU8RWveMX2r9vJ3smM/h7j/It/8S9eyLutnLHeVf1Lrguyr//6r9/2OrgHT4c/9+f+3PYODPHP+qzPOnvb29529of/8B8+czvjS7/0Sy+e4Gj8jjJnxhtfq3zU45GtDs3UO31nfztpr2P+mbx9+W3T+eq4AfO2WIfqwXes9h92aY44pMcpebXBOfhOX0z4t2AQzL6nmBPpBEcb3E4x+r5uMoTejV96zzcjTX/4Du2ZLcs/m7D1yV2j8Z/9Ct3bgDli89lZg2/s31HGrHj+Xx+fissHvTHPfoRXv/rVF//6jeVv/MZvPLPpEeE7lejc+LoMz0U9wv/CF75w+y6GSd5Fg3cB/MRP/MT2RIYLQBcWoy3go8vwN4Zb/vAf2GSuIBdPK1Ym6ErnVnVW2Ad+Gxhn2yd93fryp3UFkaF/V1FtYKPZ9qEzTDLMZ3dx7r9YmdAYE5CXjMymjCS0hDOT9p0KX4fU8YW3lTnqDiP94VZ2W+xD9SzXm4xhNykf4ntQ85wgssuptj/URvZvoIXv3+Cs5Wv42T38Q3rcNk//hstOpxActhDaf/Ca17xm24sgz0ZHXx/09ET+lNzbylSf/uiY7niU8YPv+I7vOHvRi1509pa3vOXsj/yRP3L2NV/zNWdf+7VfezE+vXTK2yvDU1e90ltk8k/jdzLsBZwXH3kq7lRbXwA+FmlM9ej1vvzUdPjsM1t3uuUv9gPY97FKxsr+1QZHL7k61eb7+mzi8HqGlXt79nJnpT/iaY6Hz1+IMpNymjqiF9KUP0MWrJx1v2lF/imywg5j1P9U7ENtD1/ZCvxDMmfm7e0/ExvWiM8+DjvET3kkNB1hZf99v8dzSgi/F2LBz6dOwQzDuHXC9jppJ+jv/d7vPXv9618/9cIo/dNX2uFipYsaL5XymW8XBV/0RV+0PaHhn2ibY7OrjXJs0S0ZOGjs3+TMDPlJOs/EDSs/JKO+qWxG6BHZbDUTH5Y+fDzsnw/M1D/brlr1gJ/dyVjVv/rAl3lXtiNbzQ4/4mkOg9xS5CyqA+BxHo9NzaQGQf++RvyZHR6W5fQGQzJnDooRf6adHi8s9s8+2WymbPbJ7nCdtMZlx1P6gr75j/hsopsT6Ck6jjqlY/b+6q/+6u0Cwme3X/WqV22P0I78p8bZ/dDtJKuZ3//937891vniF7942wvxzGc+cxOXbj4H7uJC2uHlU7/rd/2uC19Jt/yni5PyZ4X0dwFjFVZ7ZlP4s3HZjE0sga/Qu7F6qH9ntCU/4P+rHg2l58pHKrUhGSv6ADYZzsErbbQ1YsHPxWjSCAPMS6tmUh1QaBlwNoVtQFy1DHsb2fCTYYkLcaYm89tgHqvj0dZVE+kxmTPz9e8Ku6TjaB9yyPO+/BmkT+vf+nsG7ogxjq9T7ZSOcMTp74TtvrGT+mzil5aRrTK4deHz3l4o9bf+1t/a9mb8k3/yT7bbLfZp0CX9zCs2rfnHRVc43gniNky6pyv7KFd/BfEf+qTbbBnhz8aFR2cXbmzmmEnZg/4rKH09VmklcQVpA/9J1ioZ5hw+OpvGPjDG7hpd3OZgHEtcBvhM0rEZyQQx+9GdHEcI34Q1m2qD0G752kPOGJ8hl320o3bNwHw8Mdgnmm0buPZGZB/3FscnOP4/6u412L6mqu/9Eqk6p/LCynmRS5WJ9SdAJF5ALjFVRvEJoBAUQQ0XRS5qQgRijBJFFBGjEBHQEIyYEAOGayKC+CBEDhCNwXAJFy+gp5JYVqXyOlVJKufFqTrn7M98nu9O/ydr7732Wj0f//9RtVZ3jx79G6NHX+acPXvOOUPf2L4z8PKFEF749akx/5g4TFh+/OLESniI7dkgHKmy5ZfnA0ReKuVxzkc/+tHLhsqxPsllk7S4kwwvqSqN93f+zt/Za6PH7mrf7FgKTviDN/afCZA3QcB3ItetspsyT0zURj5ohmb7pra2gRp2+k40+7x4mDaoHto/zwsfEMkfPXp9QJFri1QHfTR91wa5pEBt4NHfrcbAJepPzjr/NgfneMbbVzdnUg3AUa4I+jrabB3h+UIfqrFPHRQ1cKENUMjJVzoWxqQ/+Nm8Bf4kMy+E6QuJBKrHhcJHZHg0MVxXIb0YqX52BORNRfqSH2Z6bhI4IQEv/JnY6l793fYJu/Ayk8ms+5m+je/nJW1uUfist8c7PZroexnf+73fuzxGXtlsGNP0wvrEJz6xPNWRDH5y4qi8xu9d3Ln/6jM+WjwX/a7+0lcmZ2Pnr9/4jd84b9+ZOuBrq60frfRCs14sNdP++utWG1RHW/d9/2nMPyWuHo7BVj9q81Pw7smyN720SkW22IDDKbCFs+9pjdh02O+RrhmNEUahe4rwtzpztPGmOt2THWGWLve8TUr5ZxZuOG1gtGN+3H9Qmyd3TAhj3DNRmx+Dta8MvK37jw16z3/+88/76D474lW/sb3yo89CW4XwxIU3Uno/hCsyB5s2MVY+vH0hmWc84xnnY3KfTDy6+cdFxxaPV7Kl+e0Q27PrOmHtOxufb1AvZqudrmPbZbLhGVP1h8vkj83b2v/Gb3U51saLyoU7+xiWvvqM8WX+vN3os84G7vkaJ2f5bTGQw3YQqEPNdhYd8Jvs4NdAp+gaB5fVG/hw/eicoYN92c//OtOo9xT7K9snyL26eJbNYRe615d/Zvpmje/lNybWNirNqA97O5DNwMvmwto3m/Fn6oGvfza+YF+Fr0x26G/6yD/5J/9k8cPTn/705USCTJOb8aV/Xgcb/oixKNzzRyZ82encI3oUC772ZTvsq3xzXSXZr30Pqe918OEhjww6mM3Gh803+kD9c6Z/sp+OfD8bH944/6jTTGo+nvX02No2+OrAV35bHIfXOq+bvqzN7iUzAR3VfdEtyRJRHWuWHo1QA3gboHj1mqGrSQ1Wt2ny2aw6hNNtFLroFY71I4fXr3K3Sjjav4VN9R+T0nrS45NTSJv6KiPi89kEf1zGn9WH6gvw3FIwoYrnj/LVZx3HcwC3CuEpkLe//e3L7Qxf7XzsYx+74NT/YfJPaWUPIeX8riIybgOh6+q4Crt89m85Sdtomv/TOSPkG21n4ys6xJ/X1cvnLeFvgQ/Txlu3zrYg/tnyNgf/0DGO4Zn1yOe/+7u/O/1BiJl2XoR1054JQpw1k9Z4vvg4k+A38WgM99A7EKx1n6I3LPaLp+MUzHVZ9rtNU6cqv/p97GMf233nd35n7Fsy3Gf/TEN9hG70z0XxY3X67C/MJo5jcfaV029mfkSPjvolm51gecNm/QVvzC+uHFn391/60pcuL5bymvhXvOIVu5/6qZ9abmfo38qPP+Vt8FQW/yqqLLlD5MnpP1v4HjZq/N6Vmv/vNkcrE7PR+bA3PB7qz0NtaD5r/I595VCMy+TYS0f+uUz2mDz4bNa+1eUYnEPKOMbM9g+9s9v0kLrMlDl/moNzNPQXfdEXzcRfHAQ7R83+RnudKKM1tCuPGju95V83XON0MEvvqfhre9pQiJ9ug8MVyd/8m39zd8cddyxF0r8kbqG/BtpW9sH3+Oa4X2JW9fnbrZP8Prtt4fUYa/6ZqcNB2G75DmbS+k66+End3vGOdywrEZbLfd3Th7bIJU/uIrv0/8bXRTLKH0vaN1uOxbioHHsbX1vYTm8XS3w5m7RdH5kSn1kH9sLUvrOx+SHMTiZm2p6f1YH9W/g+HezuhCverBC2vv/ABz5wCWfh3lM4N61M2GVriWU21XF0qP/yX/7LbPgFjw6/2R9hGW1nfx/6EkeFS2LCn6vFiG74r3nNa5YNcE94whPKumXD/M/ufDfTWP7xroMtrjDZC38r2+HWvjN1sNsk5K2X3vvwk6985e7/OvvIF15tYONkqxBuZVqF+Pmf//nd4x//+KW+HUyaiCs3tt094R/9Z5/u0Y5T4vn/FIzLynq1O79r35lUf7E6uaV/2I9m25/Nnjba4lXR7PXTf2bbXjuG6xhWvLwZIUx++u3f/u3laY4ZmPckxk0rEyaSrmpqfMaMjsOv0mNIrjIjf+SR6cxdPLniwuT38civKfny1geZUUeYY5niI25lCuUl15V3PPzkhFH8fenywhzLjVeu6Xjm2ZsNn/3sZy+vSv7oRz+6QI46wzGJdTBIr3CUlU5eHKU//j75ZMiTW6fD4f/ykyk9lt3Hk4/KKxx5VrZ6C2D5Y0g2vZUTovijPJ50xP4OrKNc+cmHhZ/cGB8x8SvXypZ0vLHdwq186RG7eKHyz3nOc3bvPXuVdba/9rWv3b3u7Fsd3sXhFdt2uTtx+Lt/9++ev6o37Oxfp+Gj0Rb9X5pO4ZiXLJyRLz5ikytdnN3kwi9/xFnjX6RnLDPqVn49ftMvHCkMvGwRD6/80Qa8sX2TvahcfGE6xjJjfnHvUUjnukw2jXjiaMQtLqwdkxmvukc9a+wRY5QLR5h94kgZ/dAGbVS54gtz9XeZnlE0+/YdX7IjmdL7yuOVf5G8PhRVh8KLyo9YxcMoTK9j8EUyyd6K4fmjoYy3dPyABzxgsbOKCTtAiZeuEyanUHFY8iuXLL5lrlF2xCxObsQqrlx5hZWRR9/60SByiJx45Rbm3X8jPlZlki1fmo/Geq3lq2v61mH5YRfClGfpGW+kfBa/MqNMekaeeLaXLyxePjy6I2n3xatnGOWXzp7S8vkfhVkIK7k1Dx+vMB+N8sXtpO6jXvEK6S2ejmyJn4z8kcp3siI+5peHF79QXvLreDLpkc8/+bo2X/smGysnhLXWE/+9733v7v/81ffuzqy7q/5n57T/z9kmzG975rfunvq0b9m9/OUv33kRTm1KP51hwg0Lr/z0LZl3/+mLyY/84mNe5UdecvlmbGs84wuN+WyNwtqHXR7Z8sOvvPE1+ju5MQyHDcWVL10Yb/RXt99GHaN8evBGGmVGXPJj/ceTofKysTDsQvx+o114blmxHwnrn2PZtW2L8NkffnWPV5gtpcPw6LuDpXLxyIqjeJUrb5SXF79y5Tf/kwmLbPVOXv5I4QlHGvnh1UfLW/sguWwiF255dIhXtnyhV9GXHm251eOf/aIXvejFjFQxu2z/3b/7d8s9IUtRlvQ5zrKy5S8TiWUqfGewXu1qd6640AtJnBmK+5mYPcKHr5HhWGJ1X1fcclF8cR3NyzrEPd7m1auWJYvT66yWnfjivkLHNp3FbRqfYmaPq1cy+ORhIvGWUj1GR0aD2tEurhHxLQvziZ3ZLZ05kMHv0TsvUDJBKz/ugrajGE4+5Af+4C/1zSfs5E+2uaKR//tny9Pe6ui14OrFJ17ORMaz/7B1Nu1i7wC+wek1uL/0S7+0fCPh137t15YPLK1D7wygwyuX+bZbNvxWXB3VxSQz+nCUia/e6p/fpD/5yU8u7c6H/JZ/+JOP+RQ+Ph35TduI92igesIw+ds9La7/fepTn1rqnl75fKiP8VV9Vd9QRzbUf4rzFb/pG/oPvrj2ssRows4/8fNPfUld+UHZ+snYZ4rzG/8gvv2t3/qtpQ/oH/mhOF36m7LqJ80PfKKNybNRPfHJfvaZjO9i8PtnnWGy5WyqPSv72WeDerecSHgrrL7DXj70xIT66ZdjnJ/prc9rn/yQP/lfX1UvdUf1jcaO+rK9ccT2cMizQx3Jq1u+Es8/fIWPksFD+Y19/IDqV2SRsvRre3VUJ3X/+Mc/vviSD/HJFFcPMvzAXvX09Ic21yc8KSZu3OLrR2TgGK/mNSuHMI1h8mSUJc9+ddeX1L35QTw+v+Wf4vUfuB/+8IeXfTf6X37TZmtf4fn94d1zlDaoL2lLcT6jmz/5h0z+Mb/wA745i/30G2/qxUbxsf/kq/xjbOU3cXz9lG/5Co45LF8VhyNu/xIZY5qMPlyc/b0BV5xt2t74pYfdfMIH+Uo4+kTd+RYmqp+RaexpM35RT3XWn/RRPDL8Syaf6kP8wqb6ED/qN/oZX5Ovv7LJDw485T/ykY8sx1E4txrdNb/st+p8ZUKFDE4TjEorpCNwks6kohyogkKyBh7nipMhqxx+zsaXrzy+8tJCvHCYB0sDo7UN5NwCoAM223R4fLYri+CKwyYDB6aTHPLiOik+GZjicJNJF774yIdR/ZSVJhcm28Tx8yE9Ojgd8Ngojk+OPNl8Ly+/iWc/bOn8AEc5+tMFa03Ky3dSorzf6EPy1YWcgQtbufjF6RrLiptQ1UNcufzG/9L4cLTLWJYvaqPicMTVg53VC6YJSVvDhKUsvHyFp234lXztiw9nxNSm2TnWETa9yphcyNBZHxBXX3Lw2UA2XaNe8dG3tX162ZPf2BBfHD75bBMf9S72/G//+3JAd4D///7fu6++zuxT17PGW/qcMoguvoKjbDazn+3Vhf9Q9VKGPJ8oy152mnCzLXk2I7rCJ6Osn7iy+QqWeH4Ivz7ABvLKisNnT3rF8Uf57BvrCB8GXfDqL5Wt7mT4Dj5bRr7+z5fK1yfJIHyy+oZx7hfO0hZ3y7C/svlqacczP+BnM8zqSG91zyZtxNbkayO25RP42mAsCxMfDj754vkQtnlIffIbe5Jnp/khW/DpTF5+dWQj+9lJBh82/zSfCMOHUX0X5t168RF7kudzcZjidKmvOo31Up/qmE/ygzIwkfrTw1Zy+TG/qGdxoT5EH/n49Y9w6EVk6PJLvrZRVpxNQvXhn9uRPutsACytaSCgGk5axfxQjbhO41emxk12KXj2VxkTkDNGDkT4o+waaxG6W260b60HTvY6e9SZUHaJpyed6aocGZStyd/FvetfnquJffZn02Xlw0+2cLShM/7yxtC9b1c+r371qxeDRl3iyY42j/FeWuUz0ckWkhMvhLfGLH8RGv7w8zX/GIzJhpGMEC8qnXx8YXK1vTP8z/u8zztv3xGzcumr/D7cUVZ8lBn9v8bIHvJjfC0njUZb7uLslisokwZ/pXeUC1edkxnzlXFl8/73v3/3lje/5exq6f9e3g/xD/7Bq5YrsaXM3WP3B174g7tv//ZvX1SnKztGzDFevnDkF9e+Juj6LD7ah18dxvxRfowvIGd/rjAbv/HIjfrStS6Pr/7JKj+WlYZvUjfRr3HW5ciPMsXxUfpGfvjsQPSXv47Ll7euBz4a5e/i7M5XQ8b8ESO5seyIL66elU8ufv7P/mxPfkyPusJc+t9ZnaJRN575n+8drLN7H+ZY/iK5bE6HMtm/Li9NbtQ1pounq/JjOXnq1+rDPpmRVzz70p2uEbv4vj4Yzq0QVpd9tvyvm5FnuSZSy/iI08aC4vvSdTplyk+2kBNrpJaU9smusSqfPeWvy6Yb33Jj5dI75hcPS5h8uMms0/gX2R8OGTRijvHyxjBb8Czv6VDZLmygemToMY95DLGF5KHsLFyYl/wpl2xhONJjXfbl442/0f7RP5UVJhMv80oL1z8y2epE1CQUvrwRs7L4++LxxpAsiieu/+zzK5loHS8dTiH54oWWZsUv0oHvV91gNMFYkvV9DC+Tsqv/RT/8ot1bz14u9fizp3ze+KY37p7w9U/Y/fH/44/v7nv/++1+7KUvOT+R2GfHyBvj2Skc+eLs0j/X/DFdebyxDiM/eSEa89yy2qcb1j7+WD59ySZfmqz2Reoy6sVLrnJ4o0zxwvSVJm/1T19F+IX74uUtQmd/4RSWX1k2W7oXRvJGuy8qG5aQfGXi5w/jC0Y6whMmO/Lih7mWWQoNf5b+nVCkby2/Dzsd+/LGesDSvo2Xdbm1rjFdPLxRV3lCtB4Daz1j2fKUi39RPJ84BqeD7O1C967TcKJ4SzOzKwDbz1ndTMp+mOLuUfZl0rEhj9UZRnoMBnG/fJbMsTqUg5H9vtyHpPHD/5Iv+ZLdgx70oPO0/FuNTKY2SFafbD/VTnsctOsfnt1b9OIevp9NbK3/zLafrdpL/4nWvhnbs7hVCF/d9LEttj3lKU9ZnshYX9nxje9n2PP00Ic+dLm6h7HWke5jwvyjf27pfweDLfDV2a2yNvAe44OrysC3ZL2F7+m230o7zGxXuPD43b39LSh887+Vua3IGNmqfZvvxzG8RT22OgZvYeuIeX6bQ+dvAMzuqE0O8J2Vdm9oNOSU+BrfMml1KTwWfyzPLwaD2xziY96x+Oty/ONAUccd82sXeqN4pS8Lu82x5bc5HPwMhlkHg+pqU9b973//ZR8D7PCvU//LfCOPLvZbBo9m4sO0DHtZ/6++Nux6D8Sdd965fB/Dy6VsvNXX1zaVdkXcCg5ePqoup4Zs0z+Nr8bcqZhjefj2qej/qHqNMqfER/zZ2Ozik/wCf6YOtsOzelz/mYnP/i39A1t/1H9mzg/sRvlnfZvjrtw5/+lQB3PEFv7P0vxV+lYJL6vz+UurGKujzn5pFaeMZ1qeJphNOik9fiZhoUoXnqIv58EyUVimFvfbgtivPnTRnX660hmvcAs7jsW0gqC9s/VYnLGcpVcbl5CnNupPs+sPj/1IfBb+6AvtO5K88ffLv/zLu2c961nLe0Vu3Lix+/Vf//XlDZW+BkputGu0T55+Y/e7A7I8vJkEj//RqHuWDpiedFCPrfA9IbWFb/KJ+c3YnU1shmsJfAv/1Ff0zy38A9OJruV7+262IHVYj6+ZevKLOUJ8NoWpjT3VWJvM1rMV3vnTHDmqCs1SCK8Do1BHmq0DrgGG4NcIs+oEL5vXA2HMm+EzKx9rzHSP+Pt4Y/4fVdwJqUljpn3uo1uVgMn/9ae1n2bUmf0zccMS+tV/1AGpkwOQD2294Q1v2D3ucY9bPiF+v/vd71I78u86tMwbLn0ziS7+2Yr4xJVl7TtbD3+wH37zxUwd/MP+VodmYrMdfgeZ2n2mDpiNr9n+YT9MK3/8X322sH8L7NHO6rCFj+hh/9Z1GOszK775bY7RKQYZ6spyRiXga9QmoA5keKPuY3WtMWbjj3bRpR78s8WEd0/c5uCfcZCdOumZ/F1teFcCqp1nte/a//WndbuPcofGwxCiQj4Rf/e73718pdOmsSc96Um7Jz7xiTfdYlHmOv6DmQ5lx3aQnkG173XsOlQv28d+P1tH+HD7HWrboXL808rcbPv5Rh22wIfrl1+KH1rvQ+TSQTY9h5Q7RAY2qv/M9v2IPR4DFqUT/7J/C//PMPMyv57f5iBk4v70pz89Q+c5Btw6kcnNSztmEnyNi+jxcpF0Fp6ib43B/g5k6TwFv7INBvhjhyr/dglnt6+r9r6UyAfw120yyzdw9Z9ZAxmethzp3//7f7971atetfsrf+WvLB9v+77v+77lhOKbv/mblxOJUbfy1yUvHdryNsc4vq5r21Xy6l7/OabuV+HL3xrfi7zcU59N9YsPfvCDS5+a7R945jUvW0rXzDqEaTy3OjcTn/1+7N+K8nlz0BZ66Og2xxb4W2Ke3+agRIOvJ7/Zyjvwz8Jl83hwz36NUgc+VdeIZaKGG3Yd7FQdleef6jMbOx1bhpYAR39dV1d+FSLLxuN7K7Y6UNJFZ/aXvqoN1vYqhypX+L73vW/3pje9aXlb5zd90zftbILtfSX75Cu3gF3jj3/GMXCNogeJwq7OBxW4hpB+P/r/GkUPEuXTLfEZMXt+q2Js53fjAW3RBjAbX+mdFWY///gd278vs0ff3Mp+erNZH9qC+H/8baFjS8ybbnOkKKeVPiWs049Omnmbg22jDh21x+bknVoX2COOzsp+uOldBCb9wTepbnFCcU/e5jjF7yYF9bdXAnn1LqoPicufTfDH/nNoHcY+wvb6hs2KXnX9zne+c/ewhz1s9y3f8i3Lt2/qP4fiH1pPduQ78dk+Cp/96TnUtkPk4Ge3cCv/sH8rfLiI7VvYb37Y4mmX/DHiH9Jmh8qE34nEFn2Tv+HDnu37sZ5b6ajvpGvLOqTjuuFlNp3f5gBq+cn7z2cS5XUkuL1Dfgsd9MA30aHLKn6ofhjhwO09+dVp3QEOxb1Ijv357CKZW5lvmTH7j/WNyUBZT3H0Ct387T0T4W/hB/jpusr+MT+b9JFfO/s2yrd927ft/vbf/tvLa4h9M+Xv//2/v/viL/7iZZl99kQ6+sF3AyyzZ8+YNyO+1TI429i85TI1HbWv+BbkNscWqx/1tQ996EOLn2bbXn8xv+nD6ZulBz5c78lwnJmNz06Y2ndLoqNbZbP18JGf71fZaHu70U2fINfYzrpmEudzUOSqYCaN+PR0VprOMf8UvXBGbOlZ2KNdWx5oRj1bxWetClnO9T6D/MHXqKsy8S38f51+Q9aYEVqF8GIpmyof/OAH7777u797OXkIj5yf59Ozu1BdZlFLsLDz3SxsOPyvTvC3oOaH/DZTB8wt8dk6+md2Hfjc/Fyfm+mbsMY5Lt6MsL5en5ztG3j1+XTNsHvECHecg8b8U+PwkTYufirmPVn+fM8E43285Au/8Aun6q/T1BDeDjeT6kSFPkJTnJ70H6szuytvyd1gblDEnxHS1ZL+qXbPsOcYDP5HtcF168EHyBMcf/pP/+kl7i88H9wpvUQm//2JP/EnbkKs/QvLlDbofYnVY52ePbcX4m1ve9syjpKr/i2t92Gh6pncjJCuL/3SLz0/WZmBucbQP7ewnR64/C/Mb2v9p6brn1vp8D6UrQ425pyHP/zhB/lmrN8Yv8h/ZNBW/mn8+ojV+FK4i+y5Ln9t/3XLX0e+1dKt+ugXfdEXHdTG17H5npA9v83BMZ7msMQym8YzaS+NmUl1ogZMn/elow58ir4wCnthyaj3FPx12fDx07GWuZXTM14KpN6W6scNiuqsDZxk5JfCWf6Az3644lF69GM/ezk8kfHoRz962Uj5N/7G31j2RXgiw1cRle0XhhDOli99gm8ZvKcJsnu04ZS4OvUp9lNwLivbZ80vkzk2jz+2tt/TCq0OHWvnReXY/4EPfOC8/+uLeOsfvpeX/dN/+k+XPO1G5jIig7bsn/A9Br3FbY7sN39ucaHH9vzYHIe3BXmicvwG0RY6tsA8X5kAvtXySo2gQ/e+gFmVCRueQXTjxo2bDgR1slP0hSH8s3/2z54PTOnyTsEfy/KPemyBPerZKs5+7awOxw5qA8kVEpy1f/kf76rJ8Zj61T/ZzX4kjm9s+O6FWxkGu82U73rXu85vxeyzdW0DrPwjb123tfwxaSsgW+CyJf9s5X86+Cf8Lepxn/vc56S+ycbLyHchtnjVcjrH9uUfv+YLMvVDm62dWPpq7CFjsXLG14izJCb90fEn/+Sf3GTlpjpq3+oyyexzmPysj25F2tNcs0Xf38rmcO9Vh8Rwm8Nre7cijdwGxlk6xo6jLuHjo8JT9MHo15UNXfFOwV6XbQNm+Ov8Wz2d/489kVA/V/5uh/HBmuDPaNM1buk26NHt58NlP/3TP717xCMesXvPe96ze8YznrHzCfdnPvOZ599oUfaQ9mJ3G5APkc+mQ0OYnhoZ92UcWvZQOSsHW/p/6/aFz09+W5AreytDW/gI5h133HFutrSnL0bqgtAHu77sy75ssaMT4lFuHa8/brUyxFZ2+BzBFh8Tqz0bX+v6zUinoz40A3PE4CMnLL4O7XaZ9O1E57c5GG35afa3OUZnaIzuGY/8U+I1cBhd0ZY+NdSgdPSDP+oc46fqUp5/YKZ3BuY9iXHRScBVNjRw3GrzXol8sC4H/5QTlfTAFS9dmP99E+O7vuu7dj6w5XaLL3e+5CUv2T3kIQ85fwNhtlX2kL4QvrKHyKfjkJAdH/nIR5Z3ERxyADkEc5SB3/itzmP+qXH+qP/M9k22wUdb2A/XQWCLPQH84ed9JZH0j//4j+9e/vKXL6zXve51u6c+9alL3RyQvFUVqetV/kwm/ywFJ/7RT4c9EzZWX2XPMarh13+OKX9IGXa3b+sQ+evIwPa7bT9Bfp3KHiNbJy085UBwkf6wW+oip1HiX1TuUD6slrjYn56ZOrKl3ebSs+wP+54IR1+JH0r50p4In7guvS7fRka+OaYvKRelI56PELmN8da3vnW5qrMK4cmMsR7FC8M6JFSmg/wx5Q/RYfNfPjpE/joybM7uwuuUv0pWO7Bf6HdM+16lY6zDVbLH5I/zwzHlLyqTTxyII3X5ju/4jt2jHvWo5cmh17/+9cvTRGzwhtXrtpF5bbyNkp7bJVTfrcdXfbRjwBa+gY2u235b2HIdzPM3/zDcFZjPHM8kuJxT2IuIZunQuEhIh2W00ktkwt+ow3PSUTpLzwj5h7/SOQPznsRgv3Y41P7kCm1e84nl0mvb8891dIQBUzkkrF+6v/w93/M9u6c97Wm7//7f//vuV37lV3Yve9nLllWI5CuzFD7yj/76v/hFdTwSfsHrNscMe/fZkf378k7l8Ufja/T7qbhjeRsAZ/s9fLhOSLvVEH9WyCdf8RVfsfRdcfqsFH3jN37j7nnPe97uZ3/2Z5db1fLy36F1Da/xdWi5Q+sGjw7jy+rjFvgw2T8buzo2X+ij+be8GWFt4GmOrVaIZth5EcZnnXX85WisATSye04z903A9cv5BtrMR6fCTg/8mcuM4efA3hCHj6pX+aeE1WHEHOOnYCt7T7wBk3/G1ZWr7B/9aCe8tjNBrv1e3eG7+oB7FXZlCtMlbZPn29/+9mUV4kEPetCyPPwlX/Ili96uzkweXekoc119yoxEv/4JEx1ThxFvX9wmUaspXcGeavOoI/uN33wz5p8ah+lX/5lpO9uyH2596FSbx/Lhb2E/bPT+979/98hHPvJcrYPzk5/85OUpp3/9r//17nM+53PO+5Uy6lp4XmhPJJnGV310j+jRLDpq3/QdDbYqCA8ZX43flcjJyXTU97fon3R4caTH4m/FE4rL6ny+MqHzcJLOhHLcOtyXtxRYlamcPAbUqX0oKCKz/rEBxS9eGG5h2PLF+1CT/HQmG4ZwJPmjzJgXBh4Z+NkoL/5Yvrgw2X1yS+HV33/4D/9hsRs73eHhiY9pvGjMG+PZEO8Quy/SQVd5cItnw3/8j/+x6BKO+cWFxQlVT29960QCP5lCvD40VR2SS2YdrvMdbP/W3/pby9MY8tzWeOUrX7msQhgD2a9u2SUsvq/O6YQXxSusDer/2V/+GIqXDm8M13mlhVYXxwPBmAdDes3DH+tV/iiPx2aPHK4p+cLKJRdfOMaTi5f/80354azTlQu38CJ5fO27D7+yI+Za34hbPPnSNvBaXYu/DpPDLw9vjI/ptdwf+2N/LIhFz3Of+9zdV33VVy17e/7xP/7H5/10rGMFRqxRX32dnDeQaofy67f7MPCSW+fHr1+VtkHVCRD74gmLh1l6X7iPV30bv2SSy7bCMa94soXJjvbQ4WeOHstVZh9vjTPiJZ9M+GP/Ke92CM8fDVUxG9+sSozOUYmupsZO1xngurPVqMJRPsw2SJYeOy5d63JhpKf8ZOGEJeylT+KVIRvOKAtLWhhuPGWQNCLn52C35qkD/LCSVS7c4sJsEUeVE+ef7FbWT35tkOwog4fWdlVWXjLCUf+IVz3IFw8zjNIwkilP2EuNRt340Vo3/X69V2LMV0beGPJP6WxfGHf/4cFwdSLu54kMqxBOHO5///vvnv70py9PPbA/Ckv7ouopDg/hVefkx1A8ueLSY9zVBoz1+CHjR4dffqjdF+C7/+SPmNLhWSIdV/7CHcuLh1+cTcmWt7ZFfi+VUi7bRlvWcem1veEXZoNwfTK5xrsIS1kkH+5YH/zsqP+EE7+y0umEIw5rxFC2uuOTQ/jsJx9+tsgvHr6QXOXJoPjC4uSQ21jRj/7ojy7vNfG2VbdvvNDKo6DNIXArF46y2VH+KMP+MZ+8soXJVra88hfBsz9yZMqvnA2Y3cYsrzAM/qtsceVHuWTXvNo3O4SjreSbG/AjeuRlt3CMk5Pv1zFmzC8PL9klcvaHJz/+mB7jZNhhq4HwdqObXqftFcZuc9zn7FldlRkneE96uOqxcmEgibstIu2RUo/7WKKWh0xolYcLj+P+x//4H8uAg9dyqTJOZP7n//yfC25nZhodvrzkYeM5Q4fVLQ08nfS//bf/tiwPJU8nPDaSt/yr0fCqAx5bybKJveTZA1OnI59OO7bZDEd+dtPJnnTC5aN0qwc74SknD6Zy6spHbHTAwdunG4Zy7KyN8t1Yt2zFYztZevtlK3/mHwddPiFTm2jX/EMnO/mKTlcYbER41dOEoZ75M/mxnsnDh+GRW4OUXnl4QnaPOvmHHiSvdsjXwnzsySRf6nS18tVf/dW7159tUONb9dV26Q6DTvgmJD6mVx2yVV71hZGN+ac21H/4X7/gs/oD39IJT3l8GHTVF8kjdeBjPsNjr5/+Rb56wvBTBxie5vANEHLaEcZYT7Lw2Eh+HJt0sodtlQsn3bD4kA3yslV95eGxBYnXlvSMvqhuYdAZRuMLRrZqczrZX78nj5d/2M8vY92qLzuqE3y+Sad+zBfS6SQ/tgmdcNlBnh4+UdexDflAnnqR9xKz+g15RDci09xBHx1IPdb9Rz6eW5Vf+ZVfuci84AUvWOpOpycMPvzhDy+6ydaGzWEw6c9WNpLjO3r50biFJWSjH53sJx+GMiO+evAzXnMAPflHPl35f6nk2R8eXfmHPjrqG/mffP6Ez0Y20Emebexnq7bhi7EttYO8xpI85fD4B7E3/fSSFSqbj9hb/diNRj+wm/zY57KJ/XTQJ+4nDhufPiEyX33u537u8mTQwrhN/s4fDeUAje9eMqepnDhnidtYpAE4AN8giq+ulqilNaYDOtnKlMfR4ukhD2+UIwNDh2EHXeRhklUGBv3OxsnI82NrWDooHHh4Oopy0tkNQx4M+pIPX55OKj+7hdLwHXzTCSv8dFaObvbByq7yKscm5fIt3fkHLj3pZqdfvGwg7zdiwOQ3ZRFbKqfO8svLRhjqxjYhW+Xl//CViycO+yJ/ymPzWCf2wGdDfP0GvpA8f9EPFwY95LOd/mwlYwPWK17xit3XfM3X7N7whjfsvu7rvm535513LpvUTDrKkV/bClf7yKO7uuHBzRd0x8uPQv5ha/7MVrarG7zGRPYrM/aDfBcGnXjJj3Zko/rAMBboVIY9bKQzO2CwL518nA/IphPW2L7SyvEL3LGcMuqGZ4yyDxaeOBvlwaj/KJN8Pq5/sh2PfG1PfmxfsvnfnAWLDD/QwcZ0S+Mrk+/SSUf9IJ31DXnJw6fPj1z9gAx5PPWElV3ZmLxQnjqxtfrmzzDlZ7+2yXf8b2ndLSZ8GOq2lmcD39ffwkinMvmYzWsfp5utYSQPgx3qrO7VDSbZ6jT2A7Ly6wfC+iA8GGwUZnd+x2MPG2GQ5w8YZMizEy//yasdxrqRzy52Vje65fnBr/3F4cCjG39f/Wrv9CqX3vqQPHWBkQ3i+OmtH7BLnLzytxvdtAGzM2OVRgYrh+PHq4Ly0Jo/5pfXiYo0hzuDq2x5pdM14idTmI5CfHYKNTD8dI8yeH7k/NDIG2WLjzjK6FRr+5MNs3S6xlBcHS/yqw4FH9aoG2a8McTfhz+WTd5VzUtf+tLlFdDxCkd88TXtk9vH439n9CONcvv4Nl460I/Pb+endT34hyyCi/jy4x//+O7Nb37zzlczbUh74hOfuFxBp/siPPxkYOX/+HjpGW2Jv48nD5WnfO099p+7pO76H3VkT2FyowxeafHw7TS3smKVZKwDmdGe8pSDM2KRjSojLd74Kl+5sEZZ+WGu8yuzlpE2P2jfZArloRFzXzpetqS7cqP/wy5UNko+nNL5KznhWJ79rjqN8fiFyQprr+wb9Tg4Ks/XvV7f2HALwqucvWWzcrAieuAi5aMRe12uPLLKj/0/XjLVYwzJjJjFx5AMUo5/utKPF35p4Zq3Dy/5ZLO//rMvP+x9dRjl5Se7RM7+6OFXPrKKMPo4mXDX6TW//H1hdc2GfTJ/VLzLbDp/AybHGGhtAKxQDpMef1Vm5I1x+dKoxhb39jCUw8QrN+rCR2GMYfKF4wD3edj0jWXCoiP+mhcefhRPCHd8+9mYJ76meGNYHQtHDOXXbxhc549Y6Rt5F+GGUxnhWG4dT74w+VFuH89tsmTKLwyrEJ9PnYlbeh7lqsfYlqP/YRjUr33ta3ePe9zjllWIr//6r19e6vOsZz3r/EQizPDSLSxvDNlPzzo/mX3l17wF+OwvfmX1U/1nrNMok9w63CeDN5L6wXXV42CUjlFmxKm8csVH2eKVKax99/komcIRQ3zkj/HyhH949yek1/j75PGi8uOVHusHM//nn7V85da4pcNLbixPxsGf/6Mxv7g8OB34swUfz+PtViGssnl1833Obju3F8CVL7rIDny/kbIVb7ShdPnsMP80nyZbfvJjeFF8XWH8z8EAAEAASURBVFYavro5zozlwq9MefFLF8ZPvlC+/jP6ZiwjjpIvjFe6cOTjwVUHY6BboPjjb12mdOEouy8O3yZYKyO3G92b8VVU3JnjbOK09HghUfpm6IFbI4s7aw/foFgPrGN1pof9XTngqdtM+lN/6k8tmA3omdj3BJZHmvjlUN/ob630XGTfiKd9lfmpn/qp5QU93vhnRaKTERiH6t6nT/vO6jNrfLi1b2NiZv9Rb6s8jYG1/hnpi66KZ2DDmD0/jHbxNfyZPl/j26B63f6j3SxrdyEB48//+T8/Qi9xcvYWlTezHrCR8Xtd+5eCB/5ZXbEysQWpw5b9E359aOaxJV+E72RrPCEt/1YPz09hVcRmkdkvreIA2JGz7Zmkcdf48WYMirBh6kDuTcOVFpY/q07w0QzbZ9l0HZzr2u9RMZuNEJ+uKT/jf+xjH9v98A//8PKdDE9leOW1VQhLwORqi9pnjXVVGobbBHDCuqrMofnZl3+2OFmk4wEPeMCyzM4u6dnUS+Fm44aXf2b7Hz7M8NM3M4Rvle3QttU+3vhqFUL45/7cn1ueNup2Hzw/cmGu38g60356tG96Z2LDRPYgOHHaom9m/0y7Ryz46rFlH6LPBmqbnG83Oj9F5ChLpO7JmahnUo2gIdb300/VAzN8B5H1/fRT8cMW+rlX1sCId6qOsXz+MXncjicU3S9u8hvrJj62l3irPHy5zsdzK8MjnTZTuiJ7xNkHt37iJ35iuboJayynzMhfQA/8U27cr3IszmXq9E+42nYLfCfrdpxvcfXH3vpn7XVZXa+bB5Pdwov6z3Ux1/Jb44/30mtfIapv6tNWkBxUrVRZDSgve6XHMs0FyjnZsMw+k/L5VauEp+rk/+pyKtZYPv/VP8e8mXF6muNm4sKqzZ1c+rpqJ5Wz9WyFd34y0eDV0WdSjQxTXGdtkM3QE75QHTyyMw7e2To86kUXymelT9UFx+oQ+7c62Jxq41Xl+ccJwkU+wa/9TYweB40XtvxPfOITu7e97W3Lo472RPyLf/Evlg1odkCbSPl+nJRGfWM8zENDB+LsE84keD1Slo6Z+LCcTGz1GWl+5R+0hf0wvcFROLbtonDSH/83bidBnsOw2/zG9nQUEtJ3rUAYI9rIgXX047rfli4ka0+G1eOx3LkBJ0bo6WT6RKjPKA6bzQ72Dsaz7c/PfLsVsdlvnCNm61IPG2+Ftxudb8DU2K6aZr5KO2fUcYS9e7+8U0OYkUFssNZxZzUIHU0Q8Eund2Y4vvddPW43Gu0f26Z6xBNa8hyX8zw29sY3vnH3tV/7tTtv83vMYx6zfPbb1zuTc7BUtjYOd0YI1wkOanKagRsGm638Cbewn54tb3PwT+Nr1tjKN4Vue21J3cbi/9kEU//0eF8nQ/ykT7naxNc+TiTGp2349Soi4+elVYfIX4W3Lx9u/pmtIzwnVC5YZ/s/PP2n+L46nsJTB+3KR1uSPnK7rUrwx/kGTAmd3W7nNvjgzSCN62rVALpx48YMyHMM2Bq5znqfs53P4rM6VFgmBR0JPip9bsikiN3b1QnkrHpMMu9KmPxzkWB1c0vNVRA/fvKTn9z9y3/5L5c9Ed4P8XM/93PL8i8M8vlaOPqnCfsiXdfl05X92SmcSfe9730XuPrVTGxY7nlb3eoFODPx+YL9bJ/t++zc2j83zuaf8UCe3lnh533e5y34TowddPRZq29tTKaH/9DYx67qD2T9bMC02Xi2/xtj+v9VtizGX/OvurqtY0VmC2K3/lNdZutQB9QcMRs/vzsG6zO32wnF+QZMjnLA3+JpDk43gOHbsbwVaQyP7SD1qQOfoi8MIfLoUXH6/GYRLJPFTMxZth2Ks/a/cvv8xI8+TPQN3/ANu9e85jW7Rz/60eerECYclO9NnDCE7XiPtwhO/DOQ6e03C7o2Hf0zCzscNrsyNpnu83lyp4Tsn+2b7IG7JT49PRpKF9rnp9qq/EXw7r8xb53P795e6ENNHu2zAnG/+91vOfgrN/pNPN6If1GcrJ9VjspeJHsM33hif/Nz/jkGa1+Z6upk14XEFqQO9Z8t8PNJPpqtI/zb9WmOm16n7TbH7FUJnQh1H717xrMaok6anu65wtc4NdCx+sJX3mBztojXwexU/LVd4z2/2dhrXVuke0Sz9ihUF3GvuPYop9c+P+EJT9j9zM/8zKWPA+aDQv4JK97Memyx54Z92ax/In1JH5pJ/OvbHO5Jb0Fszj90bWH/evzOrseID7s+VD8V1lbll7eWzTbvfnCQNMdZFfJ4Yhs9w0h2TIc38ka5dZy82xyjfWuZY9PVu/m59LF463Js1n/sN9iyfza+1vpnpOsH4xw9A3fEoMMxeCsfjbpmx2+6zeEVn858LSXPpg6+Ncgs/AaWsA5bnI5TB0X4sNTBgIgn3IKyuXALHVth5h/47OczS77vfOc7lw2VTjZ85fD5z3/++eeSyY3yS+KKvy18U7teofrobPgOOChds/uQe8Y3btyYfqAfbS4unE1btGs28rX+GeV7PP3TVa3Xr/Nf7ZNsfVRa3M9tDCsQDi5/5s/8meUAYGUo3MrOCLOHjZ2wz8ANAz4/+M0+SaSjdh39n+5ZYT6ahXdP49THHIO9j6MTu3vajmP1nV8aqYiG7g1rxwJeVo6O3n52mdx18uqkQr/xzWHlXQdvLQtjpPyTvnX+KHtM3IH3diZLmE0YNp39wA/8wO6v/tW/uiy//6N/9I92rz/72NZDH/rQZUJs0hWawEpfVn/+Iec32/f02hSKtsBn79i+h9R3MeYaf75VwP90zcbXRuP4uoZZB4vm/y3all/MPz2xRkd6rJL54uaHPvSh3d/7e39veRS5uYpMB1g8b9n182SCzXLek9I+gLH/H1zpawj2HohrFDlIVB31F/Wr/xxU8ECh+qInFTwSm98PLH6lGHyYzc9XFjhSgB5jeLb9zAnTGLB/8Xaj829zcJKrJr+Zm7c4qIYW11Htn8CbRTUCTKsr8NEsHfvwq9NsPfzTxDUTG5Zvc7zkJS85/zYH3jFUm1a2tNBk4XPffpYcn/SkJy37IfKXydYBaXxRVeXDuyzUP/mnMrPamE6Y+V98bIfLbLpO3tg/lZttvz1Plki32GTI9+ytLWf7J/+nY6Zv8rVJ2gmtp2q8HMiG33FJubrZ0/PLv/zLy/39L/uyL1v2PjiIWIWwmXLfHJP9+WWm/bCR9h3fZbEwJ/yFX/+faTvzRnzxTr4mmL5AwGRz42u2/dlJz1Y+ogO+ky3+qY+l+1YIL/Pr+coEBxloHv2aSWvl/+k//afpEygdNbKrYel4p9alTgpH3AYrYel1/ZaME/58GyWajR3uKWF111/64f3+7//+7kd+5Ed2D3/4w5f7xzZVvu51r1tWJWoPoaXhcYMlW65TT/6/bpmlwIF/+k/41fXAoleKwdO+wnxyZaFrChhfJtQtyORmc+FWtrN5/W2gmfXgd/6xAvHCF75weePkq1/96uXjdz4Qh2rzG2e3Osj5YNx73vOe5SDeKgQ/XOQDGzy3uPLOD+x0smLsbUGNr/wwUwefOYmzMrQFPlu171bEZnVoDM/Wk08cg1sVm61jS7zzZ3Q4yZXHFsuYOj58zuqDNbMqFW6h99rXKDN0wI3E3cuKxrx4p4YeCWK/CUO4hY5TbGRP/tVfvEzKY53s9qGt5z73uUs8mVEXefyuSo6pX/4f7Rh1nBof++ds38Pjp2yfja/ulkjz/TH+vcx/8Oqfs7HphZn/t8anz8qEDavawSqEfRM2Tz72sY9dlsttFvQ0hpWAG2cnF9kkvIjsZ+hk4yKZU/hWR4yjLa5a+YH/1a/VlVNsHcvW561W8ufsvl+b1H9G3bPitT8ds+0fbfRK9i03eY66ZsZvOpnw3P/sl1bVMZ1Q6KBbnHHVyBrYMnsda8YBOSzY6mCZUTz+zMaAxT9N2Ft22GPtVm9Xp95O+a/+1b/aPf7xj19eMNVz9B5tRfmoOpgArUo42VvnXceW2pcdW0x4Y/+kI/uvY+NlsuP9+tnY9H7pl37p+YnobP/wR/bPxmY7f4S/hW9g6j8j4fl5TfsDH/jA3ate9ardN33TN50/YWRi17fVd7Tpor7B/i02ztFN5x133HHevqM9Y52Ojde+TlS6ADwWa185+FZtZt5GT0++MH63OqGoDdZ9KBtmhHR0gjsD757EuOnRUA1tieXG2Vn4LKoBCnXSmaSDGuidrLhVQ1f6hKfQWJ4eS8izsPfZpR7qtKWOtd70NYHQXZysNL++4x3v2L3lLW9Z3kZpL8T3fd/3Lfebk+cfJw3SEWw/E5TNUb7aKI3Sm+whYf6Bd0z5y3TAC19dsvOyMtfJg8c/iI9m2w/XMvgXfuEXbjZhr9uXzpnU+JqBmX9rRz43x9U/O8F1tW8VwkHoxtncJ177eIzZl2nRiFN8tFMZ/WcLos/vN3/zN3df/uVffl6HWbqynf1b1SGfVhfpWZT9ja9ZuCNO9m91GzF877GwArvlY65jvWbFz1cmAGoIA2sr4qyWqWfpgImEBoGreqTDlrcwjvwLpxA+PbDjHQm9txj/hL1XYDKzOlQn8PHE7YXwoa33v//9y0ZKV242TzrYonxcet+qijwnEk3SS8Ej//inE4kjIS4spi7s3+JEIqX1T+l8V96pIbwtr5r0CwdcIZptP8zxNuUM/GyFnf1uBVklk7bq0GfPf/EXf3F5hTtZJN/TMVYa1ras08l77bv+sy9/AT3yjy1wW5kDM1MHfHjNzzOx2Ro+Xxq/s/Hzx775R95MGsfwTNyw9M/b7USC7ecbMCW8tMpncGdTHccBa/YGT500Mth8CIc+/DEvmeuGYXWAgY+q0wwdo03eExBmOsb8LeLapfrBd/VmFeKv/bW/tmxOe8hDHrL71V/91d0LXvCCndcFk72I8r/82kDo2WkT96nEP534bOEf9mf3bHx449vzaudTfVJ5eH/pL/2lm55OKG9GqN35f7Zfsg1u/WeGjjCELpTY7uTYie2NsxUI+yHcm5bPd/JsskSlvUBoHBvZelHo0c0trlzZoA533HHHYm91u8iO6/LDs0ESze6b+djnu7d4yzJ76XCb9bL56bp+GeXTUR8d82bE4fv5avfteDJxvjKhISxlGwyzX1qVk5yR2uA0kxoEMOlxsBPi+xU/VmflO4B5RS7c0qP+Y3WM5bz8Jsx0j/lbxA0+9bGT24ZKj5A+8pGP3L3yla887wts8YtGH8QT8k92V4+WHrX/qZR/0nEq3rq8/oM6gFSHtdwxaTbfODuIRTOxw/SdExsLPe4420f6CP/D3YLg6j8zKButtPYKap91dj/aWyr5nkxyDkKjbvk2ZbqVR+bQtvKk0ha+Z4M+2W2OGT5aY9BR/z+0vmuMi9L50FV9G7Avkj2WT4djV7qOxbmoXH1mPMZcJHsMP5/rr1YAt9h7c4xdh5a5F8f3M1msd4MHRCZKPt6+cORxkoHgoOJkZaQ1lrx4yYVVXvx9oauPSLkaaMQMbwyLV1aIVwcqtLKCrz7RuuyYHuNhxluH8nWk+Nm+1lN+eGM4xsn1W/NLWza1CuG+sEc7H/zgB+/e9a53LZPo+qQye/LF6AN4iH/Kv4uzO38ctPKjTcmMvOJCVFq8la1Rxyi3lq/sPplkC8n0VU+87B3z13jlrcO1XPrX/TP+GFZ2HyYeukjeBUEnb8mNsvHGcIyvZcc8/livTCRPDkmPPHPKSOUVjnnite9F+WTKE46/8qwMaEeP8JnP7nP28So/k/MaXx+G8e53v3t5igMGYrcNmfLr5+m9S+Lmf3n84w2YrUwkX1iJ0oUX8eX3gy2+vo01YiQLr/iYj79uj2SFta/4PgrrolCZfXl42W9D63irJvmxbLrl7bN3LRsGHdq9dOFafkyTSW4Mi+/Trw+VXzjaPPL2xfHihx9PHaycWR2+3eh8ZYLh420OlVMxlRX6xRsrWX55OcUAlFeojLidvGSiUQde5fFLJ6N8diyZZ39jnrLqIExuHSo38kacdTl58Wp0b72rfHnJjen8Iq+4fFR5cbyRz/4ovnQY4vHhIHmjn/FHeTLKjHr/4A/+YPnct70Q3lD5oz/6o8sX95IVRpUtLYyXLeWN/mcDGjdeZjN+ZbOrPGF1Ihfh5Z/ywxjtCa+8MT1ilx++tKvWNV9+GMkWZodwH6VPnvi4k52e2m0fvvzKk0OjbfvibnNUxkpQdgnjF8KE4Zcd8da6Kq//p7ewvMXAlY10pUN8jRtGefwz4pU/Yl9kq1UIEz0st9RaBYVRveo/2UUXsvzuqjk+eeNC2WwjRz4saXlO3uJZlVjLS1en0Rblx/qNcvJQ8pV/1KMedW7jXRJ3ySg7YolnR/wRi73VPdvh5Z/K7LMpXeUpj9JZ2TEdz6rERfIjbvKjbXilk42nLuLNz/krnOwTKouSKS6sTsbOiF0ZoTYe7RhxYIw612l5MIRjnBzCu3Hjxnk73MW9Pf5vOpkwKGw48oioCo+DJIfFq+LCZIV+ZHOWEHE+fktczt7xyCczhuJh1XB0Jz+G8MszGcnLTjoRvDBLwyXXpFt+YXJCmH51MjJIeTTaI4/e7E5PafnifDDiwdBRkStMvgpLHG+UH3FHf5KDEz489kibNJ/2tKct9y09Avf93//9CybdZApHW/HyZ/lCeCj/iWd/9njjpY2XCIZySL2UCxdPGfXEKw8/nWySP7Zp8dGfaz3phJV8IR5botG/eKPuZAqVq33wwoGd/5KFI3+0Px750YfKyPPLP2TEa1f4eGQivI9+9KO7Bz3oQedy6RCSZ0O25afqIH+kEb/y9JMfcZQZscnCVidtKkwme9iQ/vLwOtnKln3y8sqH0TcyrDzc5+5PaPNzfXDUBb/6CtnmcUJfr43PHnG6ozDIj3ZXz0J6lQ1LObbCKiSLwhxtHeVgoOoq/W//7b9dnuYQJwujei7Cd8vLz1ZhGOmWDj8ePLYgeelIrjAbR9zKyKscXnWuLHuTwcs/ZMPFK49t+Agvu8mg6iVkD/vTKSQHIz1hh195WPQ07xamf5RzwhVfuM/P8OgoJJP99PhJF89G8lZvbORtLCwgt8HfZ7/4jFQIWVrxVUcvXvG8tCUjFXLGb9OJwfpf/+t/XZY6HSBU2rK8HcCudOE4GbG0yHnuQ5ITwvYj52kAH6zRQF6S5QDnBMb77umzVEinQWJZlT3JOzi5VWLjFHl6wjDR2URlRzjbbfTRKcIgrzOZPOSzzYY45UxIdGpgeer6h2ev1FWnfGFTzO/93u8tuvlBXZX11jtYfd6YPJ3y4LOfbh1dOX6DS496KKcz8Y+lWfd28ch0teWKGZaODLvlTu0ij7y68Y+6hEvnJz7xid3LXvay3evPXiNM5qd/+qeXPRE2+vAPO7Rhbyelk4/ViQ/yT/7Unr6eKo+/+NMVId6nPvWppZx6ahc/dYPFVnWsTchrV/XUZ/InfPVUD/WpTfgfvr7CRvZY9VCOfG3Jdvn6j7oZmPyvv2kbttZ/1I2t+qC4N2C6QlWOrXTo49pQ363/qAudbFWuNlFXZfWf6gaDHJ36j3rQxzf6b23In3xBr7qEof76jJ/xIU+oHrDphAFXG9KjTfihfmx8q2djE0Z9hJ/0J/VUF3mw2M8+/qVb3DtGXPXzJ1sbG+7x8g/SJurHRnYJ+Sdb+af+U5vQrY98+tOfPvcPHESerbBg6D/GiTbmQ3XUFvKE5FyhwtR/yNfm8I0Xsnji8O11MO/A08Yw2MMH/E8er7FMhmz11L7GGv/zoXrhqWe+4kNtpRyfks/W+o+2wON/5ejRNnhs5WO2als42oSe2lmbsBUen9UHyWp/fjFX8FM62QTDHGD+N770E/5gB531A/yxTZRTvnGlvvUD7QND+9OZPdpDGfqbd/ireaR5h43qSad6jf2yPls95fGP8cUX9I5zBx5f0M1Wc0s+5pd1e9YuwuYscf38d37ndxZd2qU+pH7anb30Ir7RX/7wbFxrE/ZpU7Zre/aoN9+Ks4F92sAcRP5WI+1wEX3WWWWW0ycDRgOrtMZEeBUWj9a80uUXVkZ+WPHIVC7eKBfGOhxl5Y3p4sKwR8yRX9l9+cmFlw1k+Uijrykc/OLCKKx13j5deHSsy4xYow2jXDLs/KVf+qVlP4Q2ffKTn7wMXCcVXg88lq/MGO7DLH/ME6+e8Uc5E4td8+WNsmtfKLeWG7HElTEAhWElI9xXHm+UHdPFKzdiVSaZ8PGTL35RqEx5Ya/Ta/6+fDw06h3T4mRMYB511L5jmeLrMpUTRumQrtzIE49fGG8djphkx/x9+PLrm+Ij6dMmbwcpBwK3MUa8tS2VHXGST3d5a9vGNNmx3FgmHaPMOn9dNjsrM2KIj7rDiu9kpSfu1nKlk61s+rKjkFyUbOnCseyaV7pwxMiWdflktHF2XBQegksmTLrMDUg83Qvj7r90SVZOPNl9+eu8yuHvi8OL9pWt3EV5+rcTKScntxpl8z67zjdgEtIQKhKNBcX7jfmjTPzC5Jv8heO3M9Zy0pfhlT/KiGvQGtWVR/nljel0hnVVqGzl6ejd9eGM+et4MukIpzD+GPJPk+nIH7EbiPIbPPnAGfLLX/7y3cMe9rBllcYXEL3u2mOe4Y76YeyjUd86f8wbscT7tgV7XPG5ihUfy8CrXGE61nJr/th/4K5pX/l9OipXXuWsbK0pGfziya956/QoLw9+dodRuK/smFd+mGMaD26/tQzZKMzC+IXx92H0bQ569uXHKxwxxeMLi498+PknHa5MjTtXeFaZPv/zP//8MeMwCkcscZQuYd9VSL685PaFI6945aUj9jp5dnXZuJQ3yo7x8rKhMH5h/PyBH4U3hvvi5Ed+5Qvl+Rlf6Um+sslUZh2WX7nCygvNCR1jyr8oDF9+vxFrzBdn9zg/lD+G6cILc81LvvwxnY6RV/nkx3CUEx9l13nS8PnHasjtRud7JnR+g8DyTx9imlUZBzH4HGVZazbVePAtDyE86RrvWJ0wIliW8cI9FTvcMeQfvuKzq/Czjfydd965vOJa3OeUP/KRjyzLZ2Fk86hri7hlQESvZcu+Doo3wwYHk+oNcybB1X+ys3aYpYNPRvz0zMKHYynWbT7LqLPx4fF/fWqm3WHVf8xFblOYWK1CuBo/ZEyEsy9kf/PP7Lalj18saws7cd9nxzG82tIy+X3u3hcysx3gI/6Hm75jbL2sTLektsBnd+17mQ3H5uWjrXSwX790DHZrqDsEx9p7T5e7dw7S+d1Pu+997zvVhvDr+O4XzaQ6pVBDRPFLHxs2sJSH6Vd8iZz9VbfSp4QmUW2hLnD3YWeH+4S+keF5eO+FsApx48aNm8pk/z6cU+y8qCz7kYOAe6Ropg36T3UpXJRM+IPniiB7Zx8QmDjiz7YfvvdAbHEiAZu9+mXjbKb9jVf+ae/O+ERGuhp/7DmGxv5zTPnLyrDRrRhUfS6Tv04ebJg3zsY3yh9LYtIf/Nnz89o0fYePtrAftjrM9v1Yhy19lN1uC9+KtzhGP+yLn3+bQ6aOZGPQzI0fdRqOQm2Kib8wT/iDUyPYyGKjkQ2MI/8E+HPsdNgUFv6sOoz2uZpvssbPb9XHQPSBrbe+9a3LgcntC2mbpi6iLey8SBf/OAjYGGVQZPdF8tflt7lpqzqFv8WJhLbUvvWl2XWAF2Y6ruvfq+S17/h9lavky8+edSi/VQi+9/M0Cv9fVBcYxxC8ltiPKX9IGfZvsXqjzn5OFLciPq//b6XD5kcHyvrBLD31fbfEzM9b0dY+Ug+beq1+aOvGwFb1mYl7fjKhcZ1M2Nnq6mYmwUYc07PfM/HhpmN8Q1/8UxpkxKCj71KI+52Cvc8H8GGmlww9NtbZ++CFUl/5lV+5+8Ef/MHzV/+OspfZc1nePluO4XmLoJMhJ3bpKzwGb11G/4HHJ2gmNrzxtoz0bNI/Z9ucjXxitcpStVXG2f2T3deZG2oj9o11zi4n/pZ0TdBurfK9g430SGPZNdYod1Wc3uxfY15V9pB8+E60tsBOvz0BvaUy3oyQzdkPb3YdavOtDpLhb3F8yb/5aCsd8M2dnvpxi+N2u81x0wZMO0jXbz3MkceGNXINYbKbTXQgOmzSajJK96n64EYe4QlXmO7yTw3hp88V23vf+97dt3/7t+++67u+a3ndr5OJH/qhH/qMEwllKneqDaeUtwHUffutBpyTqnHl5hRb12W1JXw0u13TpX9GW+i4z9n9dFd+fDS7P8DUvsfYrYyfPs3HDopOHNhrP0S3xJofZtuez42vLckGwy2W8RvfX/AFX7CZ+XTU/2crga39PTrpkcpj+tAhNtV/DpG9rkw2HzsGrtIHn5+cLDYeripzK+XftDJhEFgmsuFpFtWJ4IlvdZCBbbJz5dFEmm7hKVQjw+jKNd6p2Gu7+MeA8I0Mr/j9iq/4it3znve85bPS1Wcskx0j748y3i0OJ6ZbEPzxZHGmDv6FH23h2/pPOmaH9hzo/1vsm+Af/VPYGLvM/rG/WoVwILFiZRm6FYJ1ef5Xbiti/xbtmr3qtoXvs9mBeCuioy+oztaR/VYmnOxu1cZbHV/4o/7cGJjto/Adg40TmzBvJ7ppZaLbHFtUoM7jZSJbkYNMy6b0HTLhXWVLg6DwWPuVR4XruCs2X+Z89rOfvXvOc55zvgrhexk+TlRHy4/CfiPmouQe/Et3If87Gc3O2aa4n6hd6dtCB/xoC/z6T22XrllhV8bwtrKf74212lzYr3pIO7FxpetxTwdBm7utQli+rf6FYfF/8bBmhWyGT+cWOuDbc6Z/ziY2w/U0xxbEH3Tkn9k68rk9K+a62RR+42s2PrzRR1vgp8OJ95YnjVvZfr4yQYEzoYuuGI41oAYQFtfws8lAM5id0TWYm/BO0VcnLYSJ1KX4ZXUhhypfiCfP1dob3vCGZS/Ewx/+8N1f/+t/fdkTQW5N8QrLX6fj39Mhv1vdaoPeFnbBDLf+NKuetVV4s/Hh1mfqr+maFVoi3WqTHn/kE/Zrh5GnDviurJxUsmNchajdCsc6h9WYlbdPbixz3Xg+rw7XLX+V/Ih/lewx+fzhk+hbUbdntvBPmOtwVl3g6jv1o9l9JzvTUz3izwjDNH/elrc5VABxvsEw+4yoxk3PbCc1gNWBjvDHSUnesVQDF7qqEu+gEP8qfHbWwQ3aD3zgA7tf/MVfXO5B+1aGvRFOhLoyzm9X4f5R52en0BWHK4/8I5xN+Z8+v9nkOfhoNj68npQSP7TvZM8hodWArYjNVp1qV2l92VgQeoLH0ypkrEI0Rq5jj/Y9ptwhOtgNH7F9NsGEvwV2fcXbbLegbG7+TN8sXeF76myr9jXHGr/pmmV7OHzCdmN4Kx1wtbEN1FvdKq4+s8Obtk2bEFwpzyQNgHJ+B8tZOjSuThRZ5sJrMKS3/OuGylcHIf+MvEPwskXdX/nKV+7+8l/+y8sHe5773Ocur7b2wS1XcXAtkwrHk49DdPxRy7DXq475ft0mM20bl2Frl1n4/K59a6/Z+PDYPxu3+rPfbY4t3xVgfNGDtLlVCG+ntCnNUyTeTunJDCfGUfKlLwtnzw9rXeFv0QYwt7rNoR7wxw3g67qdkoatzWbP/2ubPFq8xW0Oehq/a52z0vD5qT40Czcc2H7G2OyL+nRsGX7W2QnEcrTnKFc1PSc9WyknIRPQONGcqgdukxVsJB1vzD9Vl/LpGE9Yqpt8esc03vve977dL/zCLyxPOTzxiU/cffM3f/P55pq17Nre6gHnVPo3/+bf7F7ykpcs76WYhTva7964j4fxzSz8dZ35P+zCtcyxaXXx62RIOJucsOv/6jEbn+3eGuktm8duAoQx+nVMi/upg5MWT2N4I6xbGWMZPpOurDDeErnkL9lD5S+B+ows2Nm0tvczhI9ghO1kThvP1qHP8LtNvLOxVTf/6JfV5Qg37C0S3jh/7hU8kpntFZ89tuBWh3RtoYOe3vVkdeJWo8v63flsyUFoi7PGsIXebld6hqNUDp6fxnVAQ/Euq/yh+sMi793+MDuoycsG+aXFnUB4GuPXf/3Xd9/5nd+5vPL6Gc94xvnbzZJVPjv7doDytxPZNOTA0rdLRp/NrAd82FuQNujbBE2oM/Wwu/4/9pmZOhq/p/hobLv6JZ530HzsYx9bViGcQFiFEDapku2nTpUdeZfVlY7Gb2Uvkz8mb+vxVfseY9tVZfik2xyntO9lerayn+3mTI+NOwmdbX99rG9zXFbHY/Pqk/po8WOx9pXjH35xMjrbP/v0zeadv06Nc0xElqpNELMp53t3/WyCnfN7+5x0/HSfojeM7B+xO7GAb4nKy6U82ukbGd5O6R5bEy6ZbN13wHJATjY5ZW5V4gf1t+GuN16yNf/Mtjv/z8YNb/z2SryZYfbXn2Zi6y+uXH2b45jVv7G/1X4mNnshLLuy3Qbt8fHZ+vCs+vD/LKy1b+Fu+W0X+tbzz9qGY9O1jac5PBEjPdtP8Lbsn/qKPRlbrNrkD/bP9kttVhvUxvFnhmx3DOajy95qPFPnLKzzkwmO8jTHVi+tcsBBs3ea14lgi/eq1tIzOhaMOhL8CL96vf/9719WIkzm3/iN37g8nWEzkHJNuNkaXunwhOOJxAzbR+wt4urggNOz4+zPL1vYDz9/zq6PujTR7WubGfo6yHcCOtNHsB7wgAec30I7BlsZdbfU6sdeJw8mNnwnyyi54gtzwl/9x60U8ZnUWFWnLdo3fwuLz7SfzQ95yEM2sR02GvvnTP+v8Wf6JSw6zEPaeabt4Rdu1X/YzHZPZN1uJxJ88xmjdYuNHxq5wdVkVMPMCEd8V8jo2AFdpxeO8TDboASfrp/92Z/dPfrRj15WIL7jO75j+ejWM5/5zGVXcWWyT2dRrnQ+IRdZSu5AE+9WD8fVrDag7avbjHqED6v2mYEbRhska6f4s0L9v/afhRkOm+2ZcCC+jNZ+k45nFcJSMYz7nL2d8saNG+ev5obZ5rPqULnCy/Qekrdl/zf+4Gf7IfZcRwYufL6b5Y/0a1s/twmQ+EwKT/uKzz4Yh2/DbrfiZtofVhvkS88Mq0NzxEzssOhwDL5qDCd/K4XnKxMqYQOmA+TMT5DDNbAawCaoGmWGI8Jq8MIvDr/86+jqzHa0Gw/dOJtcP/jBD+7e+MY3LgPbh7Y84jk+UkjuMr2X5cE3kPMXrFudPA7omxzqVfuKj+0wqw7848qg9piFC4fN8PP/TOzwLVHTU3qmDv52MHNl0wodXbXFuj2k/cZbGcZ+4399QCHL/pFm10X/2YrYD1+Y3TN1wTQO9M/Z+NnsZNFL7GZT+Pp/8dk64Olbja/ZPoI/+6vXMEdic3PcyJ8R53fkGGz89hj5DOx7AuNenFOjqsDs1/3mIDrEx28TzKhg+LDocE+xzjrmXUdX/gjTgcsV8c/8zM/svuZrvmY5efC9DJ/+fvrTn/4ZJxLX0bWWZT+789c6/1ZLO3h5JJDNfn/wB3+wmFgdZtvr0bjO2sd2mqGHzfqnUJtvgW+DW0TPTGKv2xwt9cKuH9UehXzog0Lay9WufRZeiNQ954vqnv2zbWercbvVBkD4qPlnC/thekSWby/y311WHPcP/2EPe9hxha8oxV59fkv/MMHJkA2YW5A6NP9sgc8/2mArHfUZx+Deh7JFPbbCvHeDSkXE2y08S2G4Qo1h0ppJ4XYC4f5uBwJ5xxJfwPnIRz6yrEJ4iuApT3nK7p/9s3+2XPmt/SbNhnQfqzf/hH8szj1Rjo2W7XtBkfS4eVf6lDbYVwePPfIz2gI/+7t3vM+GU3j6J7vrr6dg7SvrlpPVg95bQlekb7YKYZzbSNZVVn33KrtcWWrTETf8U0MH4a2/uqn/zO6T1ZtPjN98OFNPPncy/cAHPjCV00P21z9ngsNUByerTnZn+iY76Wj8xpsZZnNz9ExsWOxHxuZtuWdCBfqZaMZ7okvNzv6qZHL4a96YN+aLI/kmaC8ticIoLYw3huu49MgzeJHGdk9O6GfyjJKXLr4vVM4V22te85rdV3/1V+/e+c537p761KcueyK+9Vu/9fxARi4s+tOXLWEvQnfrjFdY+TH0no99+SPOGE+2cMQaeSO/8vFGucvi5RXq9A5a2jWeN2BGo4/iFSZfWhhvHSaD75aKg84+mXgXYclPpjDZ0vXPZAvXcqXHUHwfhc0f+QdPeo1f+cpIFy9Mprz4Qito/BPh+VlBctVvFcKE630gDqzabjz4kWVXbZeO8PJPafKjzDqdXOFl+XSGP+oPX9nKX8SLf5E++PuwR/m1njDTXbjm82NvgC1vDC+Kj/rW2JVJpj1b+Cj58kfeIjD8XSWT/fyTbPgDzBItP/5abkyLwzQfW5UY++dYfiyz5q/z1unkx/FF5iK55MdwLVt6jdPKypqfPMzihfv0lCf0y++OwekYy93q8Zu+zeGM0ZVHlWT8GJeuwuWVrrMkM/LxkE40br4hg9Ih7UeuCU5+WMWFqAbQSckL20Ba3ohdXNnKxHMi9eEPf3j3tre9bffxj398530QTiQ8ykQWkdXIlcnGdZosm5UTjkR2XZ/Kk2N/uNJrnHXZbCMLxy9fxBttyKZCMmEmlz2lR1l5ybu313c44CAnGKMMXvLiSDrsdMVfBM7+9mEo42TCAbA+EnZ4yoe5DpNNh7C6lTcO4njkRnvE/WqntdyaX76Q/aXXuPjZU54w+UK8kaon3oMf/ODlaQ6y9kDZUKlOvtZoBQkfhZW+6iOvuNCvMvL0z3hCNKbDrUwy5OKN8fLl+TkYCOOTRZXFLy+e/PgjDz8Kk0/GOitXe5FNLpxRl7iyjS8yyaff/EZmxCKvv67lKzvKisOSN1J2eG9Ncfnksikb8EcZaTTqu4vzv/yWjc2fyQthZc+IGy/Z5EaZeGQQ//AFym5hWMWzNf5S4O6/MNMzyjR+x/KjvLi6ovjFF+Yl/PLXx4BsHnEu0k9G3lgmXvVxDL7d9kuow/nJhIr4qWSVq8JVEj85DZJ8jVm4lh8d2/31sMIpVHbEqSx5lP6Rr2y2tswVTnJjubuQ7sKyEvD6179+eazT/UgbKn/yJ39y0ZNN6RXCz750rkNy8cTp3odVXjZKj0to+HAqu65DuKOuyoyY5KTROj8+mSj5eMkI8TqQO3FYv6VttH/EKU5HuMXDH+tRnjBSzkDLJ/jhCvuFV379Q7o6iI+kLKp9w0omzOTCxM/uUSa5Qjjk1v1zxJc/UraGXxg/2THtnr1vY3iJmHf785c2WpctHYZwbWt5ZOuD2V+eMvSHF0bpUU68/PiF8Z2cVjZeuqXpisovPfohXjKVtRoz0rrMKE+u/Pilwxh9I89JW4+/l9eJhDLVjexI2Vd++oTlKeOlW1/wBV9wbtcon23prRw95aUz/DHNz11M5vPsDJN8uOkOo7zS6agsLH2z/jjK0+eCbrxQGPPTGXZ563plf/mVy9ZRvrwRM7lsH/PCbI6DNcpL+yUnHPOXjLt5Y3y0CV+Zi/RX7lYMP/tFL3rRizPMweETn/jEcl/LQfY//+f/vFzluFoQdx/HMqp3KThzshxj2dQA7c11luHwDSibecgJXRHA//3f//3lxTe9aZCsK1zYlmFNgK6mLEcahMq6tyvPWS1b3Bf29IR9DDqf+/ZwxH/3d393scekSp+zSDa6V9fbK9Xtzjvv3P38z//87sd//Md3X/zFX7zznQxn/b5V774kefga2tUkDAPht37rt5bVCjr5gk422jBjY46OQKdPL1vpkedFPOpLNv/AlWflw6ZLdWPv7/3e7y0nFOl224Zu/iHHP9LdDsGDQbcOyFa62cpn2oFOtlrq9j6MJz3pSYt8OvnKJMhG5EDEx3DzMZ3qpQx8beN2ENIm2ozOT37yk4svtCnb2aTvwFJfVz7qibdPp/qpk/rSCZtP8bQJfJMRG+Gol7aoXP6hu/7jBFY9pOHBZav6ereK8nykvfQfdukD+ix71Zfu2jCMdMKoz7K1/lN/Iw/DWPid3/md87HDdu2jbvKE/EVnPgtD21XPxgkZ7a1e2l97sMPYgCdP3bO7flCfrd9o0/qsumgnGPSY5I0tupX79Kc/fd4/tT1b9Z/0sF/baH9Y7OIn9SfL1vwD3wFEXzan0Kl9hTbq1X9qe3Zpcz86jSvzDrv4kk664NcP+F470g/3t3/7t899w394+oZ2UB5OY5MP+U6af8jrN9qETm3CTv2GjcJPfepTC5Z6sYON8BE/qv+6HD3qww/5h57KpZuc+dPBjL+0NzvokUee//OPPss/zQH0axNyxlD9R5/lW7byv7EHW90aJ/RI4/MHnfK0of7THFl9YZLlU37RD/I1WfnaxFjjT/U257OpfqkN9ed9OjuekDf3sn9s3/rPOB7Zqhz9/Jd/jIuxPRsD/KCe/Nk84Fhn5VpefT971ZO99Vs2pQMGn/M9G8iyh338yT+IHxxjtDEdtxqx9SI6/zYHAZ1CRx+vzhTWQQMRj8orXTjKinNYZ7ocqbEquy8Mp5BOPxgoewpHnoGn0bKhPKHO6u2UPvnt5S8+sGU1YpTNHvLrOJ6OqJHLywbp6kkuKr+0MJ5wTTpo9u/LpweFUVw45kmjeOJe6/3Sl7502f8hHSWz1oefnkJlxE0A3nhZu4bVoFnLr7GSjz+mixfCQmTh6z8IP/3y4oVZuGTc/TfyihcSqX9Wpjwhyhbx8sRR6THErwx+7Ys3yo0yYxnxkSpDXt0d/DoR8nZKE7RHQ02OKPkxjhdlxzo98kfb2G+SRyN25df8UZe8cEfMkT+2b/iFa+wxPeoJu/zwhfVP8X002jdiXiQ78pV1MNAufpUPM9nSF4Xk5EXVX+hiwxM7lcUb552xnPJj2fDWYVhC/V/7rnH2YVUuvNKF+OFkRwfScdyOMmusMCpf/pguLhzHF1m8KLsu0jfK75PF83OcHI9h4WfHiNPJQrw17sgv7kTIiZETxFuNRn+ubbvp0VCC4yCoYGGVlY5XfAxTgsd5MCNn4GPZMMcw2ULyI8ZYvgaO50wVaUQk/zd/8zd3z3ve85ZbGCaTd73rXbtXvOIVu7/4F//ieX2VD2NfPD2uasMVjv4abVyEzv7CLC2Ml54xdDBA9KExr3LxF4FBZp0e5S8qM8rs01V+IbsMJlc71Xcsx/9kkh/1xhvly49XHcZwzAtf/qg/+VEHXmULR17xMXQ1Ea2xktuHtZYtPZbhF/2/th39NGKOZUZbyCijD8Nx1ewK2GbKnuCwihdlw4gdby2zTo9ylc/+ZIXljeHIH2XjF651wB/9n1xh8vt0kYnW+fiV1X/MDXTto+QK98nEG/UUNz9ok5HWWKUvCpUNb5Rhd7dpLpp3xnJj2dGedZwcfwjNPx0Ar8IKP7zShfhhhG+FywVZ6VEmnHilwwtrnU4eppWEsJO7CCd+5Uf54sIxTnZ9DFvLJE+2doo3hvvK8b0yzW0wbhc6fzSU8c4aLW93T2hGJTisxhVaEppJ8JscxHs+11LT29/+9t1b3vKW3V/4C39h9+QnP3n38pe//LyRsivbLrNplIFfWeFMogf+qG8m/iwsS4Sehd5np7PprfzD/vDF9+nHP4Xqn1vVAT7sJo3R1uqzDsmQt2rYUrVHTNcrBMawZfCHPvSh5ysTI/6M+OifGXhrDFdkKB+s809Jw2z8noJzWVmriq0KXSZ33Ty2I0vgj3jEI5b4zPmn/m586Uf7+uei9Mi/+jz/uBDZiuo/W+HD3XKO5nvHYH2Ir24nOt+AqfNYujFJzaQmhQZDE+BMHbB0Vj/3pGygdG/3cY973O6tb33rsucimTFcx6X3EVykDm5xNNCq274y1+WN/tGhZmJf15ar5F0ZmxDyyyhvAFSXkT8rrv/Qu4V/4G6Jzwf6z3Vsd9vOsiefu788fkwNHpv1x8I2SG7lI+27Fbb65H86ZpNx1fyzBT576/9b4dvTtQXpk37Zz1ezCWa3KGf7h+3ouuPrOnVs3NKxFRnLjsG34i2Oq+p8rzpRjaGRi5d3Fchl+XWaQstc4V9Wbl9e5YScXtqGr9efPZHxtV/7tctLpb7hG75h9+53v3v37Gc/e9kYRreOLPSr3D4d+3jJK2tihxVvn/wpvPxzjJ2n6L2obPUU+rHPZjtnzuWNZeUf6+cR56K4K/N9ei+Svw6/+gm38H/9J5uqR+Gokx+dGOtvdqh7O6UVw3wLI/mxb7vNUdvIn0nsZM+WZMMePflkpi6Y9pegLfDh1j9n49fuM1eN2RuFzz/1q/JmhXxirnabdLZ/slH/nN3vww5XH92C+GTLY8sWNo+Y97YhEdld6iVNdqO6L/ee97xn97GPfWz3gz/4g6P8teNjp9EYN27cuBZG5ZX16ypMnH1vfvObl6U/X+r0dkq7iV011zCUkR2pdOGYt47DGeXuc/Zu/2xYy56SpoMu+Kh6n4I5oyy71FcnF1pqd3V8kX03ztp3C/9UF1+1XbdJeTNC9qPqvCQm/bF7/LZFbZ6Pu81oFcIJG1l+H4ksWofJ2EfxoAc9aJMrcDrZtKX/exfGRf2reh4TZr+y+e8YnMvKjJtfL5O7bl7+cJvjkY985HWLXylfm9b/ryxwpICVsy1uAzFnbN8jzbu0WG3QHH2p8BGZ9UnH4NvxNse9bEL0+6Ef+qFl85MlFjv1v/d7v3f3xCc+8QiX3FwkB+GaoD1CdSxpTI9PeaTz677u63avfe1rl/B973vf7jnPec5yEuRxGzpnneGN9tPP/njSdbBj67Qud4p/1lgz0uqXL20sc9LZAS4/jHrYn/y+/FH2mHj+gT3b9+yxARDuFvgw9c+R6HI1a8y5V2oV4vM///OXk4nL/DxijHF7WS66BTXKHRvnfzYby1sQ/+T/2fhws198C7I5zzjZCn88GZ1t/+ifLcYuTFf15vAtiP0esdzC9tHeHuMceTPi7PdzK8u+jNuN7n3j7iuxZz3rWbvnP//5y8esvvu7v3s5uXAFOoM4SAP7tRv5OrjKe/7fI50f/ehHl5Oc173udcs9ZBNuj2PB76Ul6Uv3dfSNsmN5mJYZ43XQHOVPjfNPV8X03Upkp7fHD9FFtrGff1B+WhKT/uBv4ffMsyIw9p34M0L+aE+DVQj+1HfpdBsjym8XhcmtQ/LjBtWL2mhd7tB09sMV34LyT2Ngto7adzZuePa16J+zfR+eDYb1i3TOCungn61Im3rvQvsmZuthf/NP/pqpg9+17ZY+YveWJ6Mz/bHGOt+A6cr+N37jN3ZuF3gHg1WJWQ2iAXSkHJURDYoxlFejmXDf9KY3LW+ntHzIpp/4iZ84H0zkkq2cMvSVPrUOY3m63O/D85Me8xelJ/7BbxlwC/zrmlc9lWOblQl2Rev6Gwi1dzIzQwffaK07/rEhvNr3UN8nty+Mlw+lPRZnP4SNgD5XbWJNrjD7x/qt85JZh1Y4vFK7PrTOPyWtXd2CQY2xU/D2lTV+1Xus+z65Y3n655a01YGg9vdSqUc96lGbVIEO9tdfZ7cBPPjmkNnYHML+xu8WDqrPm4O2sB+m42Tvjdlyo+cm/lEBP0ujj3/845eX4HiZE5rlsAaCRuhtZpyG5KEOEtKexHjBC16w+/Iv//LlRVNua/jwlnuFYSmztk/aPX0yyQlPpRHDBqLw4Y55p+pRfsRf128G/nUxqp8DoKsuNo2/NR77a9t13oy0/jP2lRmYI8Yx9uePfFVY+zkAW163odJEYRXixtmKoDGHkisc7Sn/orxR1mTnNkeT3pg3I87vvd2vOs7ADQMmfP1nC3w+1H+2IjZ7Md5WJyz8Yk/JVr7hl+af2T7KZrc4nDCWnqlH+x4zfg+1gc3aoDFwaLlD5eCrg9X12/I2R43q3QGu+h/zmMfsvv/7v3/3gQ984PxNj4c64yK5nORqydWYtAkvvtAA/IVf+IXdP//n/3yZbD3W+WM/9mPLFZZ8JKxMujg/Ph58FF94KoUhbJk/O8o7VUfl4cMe/VPeH1VoAHnTonv5V5GDGZ+owxakfeFvpcMKWL6vjS+rBzv4Z6TKuT9s4nElFq5HPSNlZ1L9ZjZuNsLVP4Vb6OD3Toa26D8wx/mnes0K+cS3RXr8dBYuHNhj+872P2yYzZ8zbc9+48Rt4k6iZ+uAZ5zN9s1opz5qT8OWOrbEHusyO34vVxt+vk1hRcLjlD4kY9/ELKqjwusNlXRymmW7H/mRH9l91Vd91bI5x9MZ//Af/sMl7eRjLKu8xhxJPoIlzwYotC63MI/8S4ewt5/R51fekdCfUcx9dLio8DOE7mGGEz0T5Pqguc8M9s/0/VrH6J913oy09j2knnTV9mNf8Dpfb+HzVIWTCFeSN85WIfRNcr3Bs7IzbB4x4De2Zutgv7pt1S/Zq335fwsd4a/nkNF/p8btxDdeZvseHp9Y3UKz8WHDbH4+1Q/7ytNhZc7qxBbtS6fxO9s31SUfecvpVjrg2ojtdujtRvf2amlk49b3fM/3LFegr371q5dbCu94xzuWPRTXqVROzvFCJwVNEM7cXZ31dkpXIr7U+cIXvnCRqxydsEoLR96SOPsrv7yuXJWtfLLHhGEUshelN7uOwd5Xxllvuvbl35M8diCrVl2RXqW/lRVys30Ds0+ew94Cv5UVuvZRbTOG5EySltCddMFwIoHYSNYBTFj/KW8RmvRHF/+kawv/dGW/hf0wD+1nx7oMfnPRFv6xgbQTx2NtvKzcjbMT0y2p+Wf2CVfjxebFxsYW9dhy1aA6jHPQzDroj342kW758q2ZNo9Y93Km6+dbFTqQSrhf87KXvWz3wQ9+cPlwyljgqngOyfHCBq8nMl784hfvHvvYxy6rED/3cz+37IXwfoux84YhRIXr+JJ5918yvfRmzDslHm4Y9g6oE1rnJXNKCH8L3GNtUlf3OA+dAPh/S/sdtMOvHY6t275y8BEdfqMO8ZHnpPgPzx4ltenR0q1vZHgPhng2hrWAnv3lnxGnvFND9tnQOY6lUzHH8mzupUBj/UaZU+P8g0a/n4pZeX7Z0n4+cTvQfDeb8vdWT0Kwl46t5p/sd8JtD9EW7QuT/VvTVj5it77jgkRfzWdb12cW/r19ACuytGKZ0Vv07rjjjt3DH/7wa1eoTsIR4jB/5Vd+ZflGBlybPO3NMOFyHKeRawIUP8WJDnojXnU7JYQXGczV7RQ7w1uH4/3EU32xxj40Per1DgT3OS2d10aX4fB//rlM7ti8rf0/njSN7Z5P+IFPHDSs5o2rEMnXp9f9Qzr88I71w75y8N2GMM56LfLahn3lDuWxmf+3sD0b8s9Mu8MWWiXdCht+/hHfgnxSfIt9DfXdcfzO9hMdW7UvW0f8LXwPc0sdsNXDbRTzijF8O9Fd28nvtlhDj895q9ixHcoqhO9ifOhDH1pWItw6sQRlt/M42XIgEsa/25yDgrG8Ap/zOZ9zfjA71vZ9isPqQ0f7ZGbw7okP1VxlZ3XlWwfN3oEQ/7Ly2V+7HFLmMrx1Xs/Zr/kz0mzWf9Bov5NeV1Puh3v0rBdLkVM/sut6rtNhes5+xMafRXAdaIzjdMzChgOT/cX31XHJPOFv9P9s/OwXzsauyk4wnbBsQey+zli8rg3w+V+4FVn5rn/ObINsNj/MxN3nh/rovrwZPMfg2+2xUPW+6WRCI3Rm3VVojURYvnQh3khWIe68887lqQwH3ac85Sm7F5/d1hgHlwm5CWksK27Svm5HGOXZBt8rtUe713qum04HTJtjsj9fXBfvMnnLsOGn9zL52XnVSegAet2z4+yv/8y2j/9PGcxj/fh3nbY/BH4nturjcTNLj+63Nz5qm7G8uu7DHH2gf2Z/Zcf8U+J0G0NwUTaegjmW5RNXTfXPMW9WPP/Mtp19MOufs+xd47hN5oRunPPWMsek6yt8rVU1AABAAElEQVQ2d27hGzZpX/7f8oDs0X39pxWKY3xxURl+MT+Y/7eg/H7qHPT/s/f3sdp2V13vvYD+h1ED/6gI3IXSF4xaEAFFUKS6VRRFeY1CxLeKxii+xKhJRYWCwSh/EBSDgRizt6KRrXErILVSVPpCW9pSKigJirJxx63sx6rJs/Ps57k+531/V8d19FzrWmudc969rzyO6zrXmHPMMX9jzDHnMY+3eRzHk3wz18wr1E/Sf6GUP3YwYedhsnCZFDUpSQtkA3rmpV16cxXie77ne05f6vTVTo/o0G9Spif/zC0LiOosuvelDkTg5/f097546c828M89cVQ80lvFw4e3wv/7+lW7cBuNy23J7uJPj2bdRfe+vtGf8XlI/erUJvl8NYa8rrjtgNxiKGshkDqTz3RlN8mS8x/u3C6UrSC4tt8ev6tdK7BhFB+4aLb5JFjwx/a7AzfXGj+rYxO+A86dOwJrdF786Ps9YrQyTrD0r/isxC0ucWfdqw+0YPNZnz7z3Py/ow2NmbbhHTa0xRM15t2db9pkZzV9sIAUFEdEvS66wFUmjww4aY/AOYD4rb/1t1699rWvPX3fw7spPFI6DySODtsYVhJf+JSf8PN1lR14/dyTRvJsrrY1/a9Nq9pxHxxrA5wFzYnxLv6Iz+qYTL/n+HmInfpM3erj2uqs0oeULAI0hj3W6Syndqc//blPWv38lw73PhhP0jWZ7riMzC5/vXxrh9/hN/4vjfW5OMHcOT7hW3NmwfIucmD7tMaf37atXd/maHzuGDv1J2xjdEcf5LcDrvteEc6/DyR/UQ3IibnzqMzO2tGkHYyPnHgXhK+KeqTz677u606PowmuX3UKdvnwHayspOx2QOFMEk1fVtirPfPd79qWfIUNGPBhao+z1w8UWWToyLgz6OL5pPaqk+4O3+tf2E/y5Wi//qqevINiZ/PibWy6MpGN2lE9/BKCV3zCzpdLcKsLy1WVttf8rvxSDq+TjUuxztWH3/i/NNbn8MWnt7ieK18hc1V3zqErMCeG/kUrx034xb/8ag7fLRS3Clf733gxPldjzzjsHEP57WRgx9Wb2Y4d6evbHO98xztPT138X/+v/+v0Gutf/9mf/ahTHj1p8eifhrkK4Q2VjpishfBeiLmzqzM5WVCSyZfG/ZIddaufTo2u/qw3dSbO3AGqX91z2JVN3FknORmiD7+Dl2el77Mx9Uuf42FVn86k2pAsDPl0Z/tnO6pzLJdPduTVCd/Cy5e//OXX4vQJZvq++eri0WxPsvhsd7IjD5O8dDwZHhbu3rDFwK7GPfPobN4YV2c+Wnbs41kfXnS0RW+S8qiyiV15ZXRvw6ysemHLuzXVpeTj9jnxZx3yMI/ymT+OSWXViyfDJ27lk9OZlD5Zvk79m2TphCU/aeKSh5NO9c/xdMKYvLLqyU/s5HHlM10eR2E/m3v2b3i4MeOs2NWJm3DCiIc189JoYkjP8XLUV46OdY8YT6oXxqx3An70Z8pmepZXH6czadpOHk666cTTk4+OdciVV6ft4FydMOJh3ZQnP+pYt+Vhhaft6sSLfuDtbz+10we+HoXs6tF9j6u/823fdvWPv+u7rjw2+j//z//L1bf/r99+9bmf+7lX3/AN33BayV4QC255QKULED7TJmtnZ1N2cmD8mROtdIM8bKrqx6fcGXVnN8rDmjrSU56P4eE3UWfs4dUO+vlU3cqyVT69iUEHzfjI09V+5Q3iY/3K8HP6cCI26RQD8tLhW0jbu+GzRe+YDksZ2/IOQvTvkbJZHfnsVabOlJfHq1d8yFBtVw+lFycLU7vsbF1h4+PP+lk/S/GJ6CP+d3YzMdThb3rZUyc9vDT5kdRp/HTwMv2fmNUtrlNPGd1pS55/zzzz7G2OdMI5lz/KshUWXjpd/ouPeKDacco8+kM/Kh0/yqf/0uzr364MHfXDiSu/Ka0sfDql9S98MvGabT7iyUdhpB8/louPlfjigtKLTxmfUL6x4ZcML5/M24nFPvxZLh1m9sjazmCgWWfmyYt/9fMtTifME9jhT9hTvzTe03wtZJ7VlbPLX3TESpecblQeF/85fiqje8RPFg4+9ZOrN+Vuh7YPm3XoHEnd+qtyfOJVJ5nt62k7kNCGF/0vj25ZoEfT4KN/z5KY/G//4H+7+j/+w/9x9YVf9IVX/+Jf/IvrSUNwCu4MzlEGqfLnYE/sxS9+8XV2DhzCgjmxGljJqlx+cnguU0fh50f4yeklK13dcKtLTsZ/3C+cdKY8/aNOusqnbXlt5T+cyrKTjN4k+FNHWXWPtpTRR5VVl+2wrHi3Ir38qcKjP/mAozCkkxUfMpRcOr+mjHxS/U1Gb9qQFp9w4vlJv/Ss7z6tVeSeMGqB2fRBnew+88wzZ+2em7zDyA/8JlLGhvjgx4OTc22tDWHWtnSnPTLlHl3N1iwPiw7iw1Gv9pwUnvtDr/jQt45EvniEl09h0J3pfJk2jzr0X/KSl1ybn5jVVxhuaT6QJZ+66STTv1NWHI5106crrRynf6TK+WF8FRt6Ez/M9ONHvGzUrlnuNsdN5dmCK1397E4c6dpUmn4fEqt+dfI1rPLK1cun6s3yie+xajrFe/qgTjjZTW/m84EsO/E5/4eXfjrlp21Y2aqcDFWvtBgh+toehRcnLzZhVgdPb3J13CY7xoH8hU4f8sxHP/OV/+W/vPe0cOi0i3huw+G4T93+ti/5kqv/8t7/cip3turIzyIj974cxbok4yjNtwgEzFGbo38BcUnOBI5blOT+9Lvf/e7TI3bpm+SdLTqat7jL/SKXoH0gyaI471r3KJ21GvKObOnD9eZOQYfBLptvf3SlxWXeaZO/HkfqvfbOUMm0By6bMPtiHpva96M/+qOnDrdgqDZ///d//8l27WSfLVj8FwPtpF8M2IZFV8z4iywGywdtsyOwAJD/sBCf+OZIlR0cdouY+OrZ9nx973vfe1oDkP8mtmzql9e//vWnT7nDt0Pjqz600FB8+C/PF77BhaFP6JJbbVyfwOBLGG9+85tPfcmmt93ZmIq19nprpAmRzP1l48DGRNdO3xmLPtFOmPobhrriKP7GCn3+iA9b9PnqtoV4kekjTxq5AqHPjRnxcbAkzY62iQv9xo8zG7HWJ/nKtjdd6kPtFXc2YfCZr7D5Kj7FXzy1WXv101vf+tZTGd+MAzb1hTJc/cZPY9w4oGvb0z42cWs9tEsfsKkPjX+22070k34VYzbFS5th0MP1KRx42sKP6jV+2C4+dghtS9rGtpiJD1/O9SXsxo/Y6Xv9xba4GV9sGj/8Mhb4Co+++OsT/WEuEU/tNX70CZv6nf/05naSvniKj7L8nuOATTiobZOPiO/aSZ8sm+qICx/xd73rXaey5q62ff1qnOH60ngz74h1vtaXbNc3bJM3fnzLSPybI2df8st4EyP+iCeZvm+MH8ePsSzGbIrnW97yltNYFHttg9G4r0/4BF8sGrP6sDmAvnaG0TatTe95z3tO/onPnAP4AEOM2xbU0059og36lT9sGjf6hE36/OeP7Qu3jduHwIXJtliIjb5XL5mxDV+/2EbqT/MMm+274NjXGaNsip1xHY56xiC7xah5A4Z+Fhtt12+2IXEylrQJ8U8f257Yf6GRON1EH/R7X/3q0+nUdz26rfH//H+ePcI3IDXwr/zVb7p61aPPfj+K9HWjlQEsCBO4MjwKK5mBYdBGsCpLdldew6ovb6OBz3/yI/6xDlvpxI/2Zx3+GyDJqjO52MhPWT6GXdm0Twd+j+ZWVp0wZt3K4sqO9sPx6O5Xf/VXX33nd35n6icf0ye08TqIsNFmZ2LS4UfxlZ9kg7TI7SZfw5x1npSedcSHb+yTI7by0WRgDJhQvEPfRosmxjE/cfhv/CSb9aSL1bn0TTE5OfCcD3zTv3D4lu/Fa+pKJ8+PyY/lMO3MXvGKV5x2VGHFq1s+2+RRsmkXrrbhdhDFJ1110w/nHM9+/JwO/Pr3SZj5nV64+VV+2pnjc5bP9NSfaTooe6WLjXI7EmOPbNIR/5hPN3k8efz7vu/7rn7JL/klj43ndOPp3pVrT2O3+fmINXXgHstvys++UM8Bg4MEB1I3UVhHnn6Y5fF09W/z59Hn9PAw8COFRX4unY3KcBRW8pNw/Lmr3AGKNpiHX2hUW8/59cG/+n/6n678/p9HQf3/PoqJ3wd9yAdffdzLXnr1mZ/5mY+WXz5LbRyBlZ+gleH9GqTyJiODqTIczfx90uo2KMKyMZeePFx1UPmpc5Snc6rwXB1nfEc6YmjzURZWHMYxrZ6j3QblOTsTt/qTq3O0f6xDpzql4/rHZKi82CoLk1w6/XDi+S8fVZZs5u+SLh50Gz+wkztzc4btzMOZl4WjPe8fPv3S+MyfMs+V83+WH/WKA/kxPXWnrdL8zX91Z3zTicNCMy+d7JQ4lMOcBxLVjVe3/PR/4k09aXrxtq/pu7Iwb+PpxY+65OGbK47lxzx9lLz0bFdlOOrs/5R59Kdy+dI38WMdejM2yp31OhsuPmEpK40f85Ulj0852Sd90idhj+HL34YZxk28NsAxPqOpn04yOqXxm/L1hXj4FZ+j/jmsdOLphFkeN15Q2y/Z0WeyqDR+/NFJNtONSTaicKbeTIeT3syXnvpi5EqHA66njV70OZ/zOSefXZ7xtIZLR5/2aZ929Sf+xJ+47oxLGyVodbYNbSXBbsNtwE78yqbsvukw8NpxX4y76rt8p00ofte6D9XLjonE5Tt57WxjvA8u/1Exu0/dc7rh4H4uEeafy64O7vg8XyNde87h3SaDn//0sn1bnfuWtaNR76F+3mSTv29729uufuEv/IWnS6qr/Tcmpv83+XGJPPyHjL0n2RXvuX09Sf++5eGL+2r/YcN1ddHt59UEG4l/tvDVZAy1Da/E5quf/l097qefsPm/i7TBrRXzmSu8TxO9qAHz6le/+urLvuzLTvfyvH1L0PxWbBThGEjuOa0k2NoQd69p5mvfJTbDhsX/FZg3+WO9RPG6SWeHnE07Z4NYn8vX7vvYy/9VMQoH54+Vzu6HOoiQnk9kKJ90X//Z4D/K3sRbkeZzdF//qncT57MDK7dPdvg/43OTD5fKxSff8dVkvcEOXH7qT/ODe+cPPRh/UnvdAkK72iD+q8dl/sJ11u3q4WrK57bf1fjhiTsbO+KvDcg+bEeMasMufn1jT0NMQu6H1qh2KquM6wD3g3aSRTINLLy2XGKzOMDi/66BBN+ipOxd4vNd6xYf3BG3iTDZQ9ppYRb/UTh39aU61YubmLuVYQGvDc2qf2MV5SdeespPSnf8w/9oYiW7lBuf4cYvxZz1X/ayl1334Q58/qMd2DCLzw58fluoh3bgw7TmaMeBRNuCq06lTw1Z9IfvfrvnZ2uGbMurqTnT/LmLpo0dfZDf1uTdtqYkvRcav36dtoFkxal7zw0szkpfQjYsGILv5172SoLNRuTMuo6e7aj8vjy/w3LVBsmvpPDEp/bUjpV2jljssuM2V2f5tfWoe5e8R+Py/y76dIpxafZhuORqcrYWwup32D/v5/28swsAi99dbZ7T40ffFrlvG87hHWV8nOPzWH5pns+eVrAdo9XjBx7/tWM1Nn/5D39H7MPvVf+7/PeyoR3xaXz/s3/2zzRlefzFw4//O2IDUxtcuvdUw2oKv/l5Nf7E22WjcWMffG5t3vThhZj+YJ1QRzjyaiXsKmc7mmtjcIl6NcGuI+Bnc8WkFDafxcnTAsUs2cr28L9YrcS9DUt7LHxzCfJS2x65En90Fyy205VWxwInG5R7hx6P8ly3nQDc4lO9U+WFfxxUwa4NC6FPuPzf5Tufj0/hrPRf3xSflbhhhY/viBFcB6f4DoLrVuEO32HC7zbrahuw/cxv+A5887F5xuOPu8j2tYuKiW1gB4mPbdg++Gm8zfGigiJQLnG7xLKS4M7B6Z7uLmLLUW82s4tfQhNPJ4eX/BLsWRduzxbD3rFDm/akDWArrD2GVLuOOvfJz/69S3zYpOcqhI3Uo4EOal786OVOPTrJfljwpXfRjP+KeEw/4Rmf+lUbatPUuSQNz0t7bMfFdXUb6t/Vvmt38Sl9SSzO1YWf/6vjks/Gj9isJv7aVl/60peeoFf7X3921WA1PqeNe5fvd85rzQ87/NcGuI0h+ZUEWx+7ffs0Hkxcr5nQEJdHe3nGqiDBNVDbwHY98gLfIJ2d0Aayqi1wmix0em1biT/9X4l7E5Y2uE/qnQz10U26d5HnP1w0MaWPP0+QuI3hSoSDCI82utXThBNOfN5LTHYXv+6iA8/4DHf6fpf6T9KBV3yks/Okevcp98KbnljYgd/2uwO7+OzAFkP4jR/p1QTTgVwLYFfjw3vjG9+4A/aEyf/6d4cRc6b4z3VZq+wYM/m/a/zwlY224VW+H3FckXVS9bTR9ZoJQbIRWEm6g9o5uPe9kvg9B0/4R/kKmzBdxkTas8OGy4zhnxIb/sx4aQPqbPZSc94mdzzQYoMskna52dsLvQDGVQi3MrrNwr/pY2kc/o648w2u8RN+dvP7Ug6v22SNn0sxZ334rizajme8p86l6cbnpTg31S/++mAHWQAoTqv7Nl+NZwuZV/vfmOxxwV3+2752EP+Nebc5vH5gtf/Fx/hZjV08wt25DYiR2xxdIc3208A/6NHl5dNWqxHuZfmZ1FdSG5bO6ImBlfhhsdOgJWuAVf4QHkbc5Xix0pZkD8E9VwdetAP/DW94w2NvwGTPGgc7oN621gaTH/flxUe92iDNlrUQDsboWOzZOMvmXeLZgUp1YK8i9uHrX2l8JU18uKvbAF+MXYaFvQO/+OzwH6ax0e2tHf6LUb6vxofbQVxtOBlb8Ce/Lcyz3civHJ/wxKP4L3D5/SDYyM6O2DO40//GPs7/HW2A7Wqt2007rxK9X+fcUXBbm69nS42wo3eJZSUZPBEbLmmvpPDj//Jf/svTBt2gvdSW4IWFe7c6yt6l+NUPz7ckpMtXvoubnDqQWGGz+PAXnj53wELu0p3V+j6hPJ+Xv49dOPT7rY6L+KPbNppLbNa/jatLsI51Yb7zne883a7cgc9e39Q52l6R16c78fNfbPxWE//Nn+ZR434l1Z9vetObTrC7/Dc/79i2YCJzgasT5U/CBX/C63sXCyDfD6KTDGN0Bxkz+tXjy2L0tNH1S6s0xNH06gWYc9Dr8B34DSTB77sBbXzT/kM7Z2Lwnz2yKX8o9rEe/HDjR52ZzxdH5L7LoM7P//k///rs+ogxY+UstgMJmEfdaad09uJTLt3TBA5SWtnuRUHWZMwzqelHduNhnuPhK7uL/jmMm2TwJv5NepfIXcJkx/Y243EJZnVheulQZ8Wr48PO3L6yu5I3/uf4WIUvHs0/x/G7yoZX0Yv/DuK/bQnt6NsZn9X+wxZz882ONQfFo1ulq/2feG0DU7YiXRvMQTtitMLH2zCun+YwsVkcs+MNYh1xCVaXtm9z6pIyHYFWTUbh8D3/6/RZdonP6sKEZ6Di5bN1E75yT2N88Rd/8fWzyS6Rffu3f/v1YrNj3XZknp548aP1Ctl7kq3p5/Sv+r3fwJG7SWN+jnnqh3P06y558YmyW/5SDs/OfjVufolB47OznLvEvPpP4rDsbGDr4x07td074+L/pLY+pFy/8n9X//JJ/+7E7z0ZK8dNseR33+VJtorDRm7B7RiX4XcwusrvidO8uXMfxoYTghYKT/sv9PT1bQ6dYWHMvEy9wnm4DXzpHW9YC5+/3oCmQ5I1yB7aFjh+cPzmG9ay8VDsc/V6A+C5snMyPv3dv/t3TzvB7/7u777ys0P5m3/zb76fOt3a41Js6c6QlT+Jjjry7vG5vCg2rka4jTGvRBS/FfFyCTAfVuDN9sLtDY/ZmOUr0vBh78AXjx/6oR86Pc1hwrYdrCQ+e0Po6rjnI9zVt1nDju/0nw3bgG1rdf+G5xPhHSzWphW8PuU/W9lbgQ0jfIsXnfzsIv6vHvf5qg3iYh+2wwZs261bTU/jS6teNAeNhvQWxAJ4Ka8D4LBlJ7OaZhu8wW3lWV/YtWO+/UxZG8mqNnUZE95dsd/61rdefZZPxT9HPlHstdPo6GPtsdEdY1XZczA3Mo8e+lRxk6aVx65wiPvcCDpIAXTXttxo9LkCPqP6YxVumL0BcAe++M7xs9J3/sPXDz16txofXvFhazV+8cHrj1Ni4Z85fhbCnqDEw/wp/rvo4z/+4x87WVplp5jvik/4nkZZ9eTYbDt88439y+pxOe3Ux3Num+WXpGFrh7sDT+PTHNePhhYEO4pdpAM8mrWSBH8OntX4fK2TcfhtGMlXtQeeR8vCzc6T8L3rvpW/6rgM1wIeWEeyvsKBwHxBTXHMpiNv6Uf/H+2l3OP32OT/+ejK1b9+tIjqf390ufhnPtpwf85p52iCcCDKVvGvDUfbl+bh16b4pZjVh9ejZdI78D16ZztYja0NMN262nHWBN94qH93Tab17474aIPtaxeJj0XG+Gr/w3MSIF1+VVvCa/5ZhRsOfHFxsrFjHzP9z+ZqXht2jiE2xMcc/bTR9ZUJjbCDMdl1dLqqMXPjcitlF7Ezn2GWRw20h9iddY/4Ju3Vk2qvmmV32r7JdzoW67QDkXdw0YHCuXp2OM6gZnzUK49n+//+v//fp0v/BreDho/7uJcMSPF9/GCl/q3+UF6SFJ/8iy8BfgQCr3UfMHfg819fic/qGMEV/8bCqrhMnC5Rr45N8d49fvi/w/diVP/qg5VzA59RV/52tUH8s7V6fIqHHeWu8cnvxmf9sZIXl2K0Oj7hO1jZ9ZbNlfE4Yn3Qo449jVId7CdQFuGsogIUHhvOYlcSTAOVLekmapzs0k6fGHaqbIU5yy5tEyw0MbNzE7b2/oW/8BdO/vzRP/pHT1weRvnqfs/3fM/Va1/72quv//qvv3r5y19+Eodf3NJ1b9OgdsXDGynrs+Ks3vSzenDI6aHwK7+Uw0fhxi/FVZ/faCXmCfC5P+HP+MzyS9Nw/fgfX9mW4xhZia3tbVs7fIe/c+zA53dcbFbGJ2yY9cMOfNhzfjs1aMGf/N8dn11jJ7/jq/s3XLz3TLwQF2HeNuYe+9CXjXnHJZwCr6O9NnklwWwHB9cC0uzJ39Z45U+iBifu13syyl+Kn3146Oh/5Tdx9n/Lb/ktV9/8zd989Vf/6l+9+it/5a9cfdM3fdNJdq6OWLUiv/ImEAeSFsB5GsPBg4WUzzzzzGll8Yypevw91/bqHvWzdSm30DO78Usxqw/Pe0pQ/VHZCg5ffPDGzwrciWH9jKsrbPitJHgt0F6NzU9jTnx27Mzg87nxs8N/Nmw/rSWSX0X8NWZe//rXb+tbNlZ/TqH2578333okfRfp312kDX5tA7vsWI9mLn7a6LGVQi5BaYgXC60iwZ9H0qsn6Qbp0d/sKF9Bt9lZZYOf7WRg3hXXx53+2l/7a1ff+Z3fearzrd/6rVcvfrQQL58nzqd/+qefnvaojD3rBBxEWvRjgaCrEeSz3k3pGdvq4NGsl+wSDnvaWY3Pt134My6XxOC2uk4IdtppWy5Gt/ly3zKY+b4Dnz9wa8OuscOGA6IdpH9RJwCrbPC5H0zplfEJj99oJfYJ8Lk/4U/ZqrQ27CQx4b99sNscxewSm/CKdf538p08/OylV/kxn/6RX79OWwWGndWsvF9zdJCNLpkfnbkknx34qEDEV2DDqHPgZvMS7FkXnp/OnnamzjGdD+farQzxVfn3f//3X73tbW+7evWrX31aV+ExTvd4rR7uRSyzXWEfbc58OtkqP3Gm/qXpLoXDYWMl8X36fyl2WHBKz3661H+YR4LfjuxS/CP2tLcam62nHX9nG4qN/hX7+vjYR5fk2fDbgZ1fO20UI7Z2jk/YO2yZ2+wbrYuxDq5F9cXuvpyPHhX3hEvfdIHhpPNTP/VT3+8KtbLaVRsnV35bXK/XTACxY/nn//yfb/vYFxue0XUPfiXBbQPwHPm8slIwLrFXANnxngAvjonIVpL4uDrAZhPHk/D5MNtZLGZ9OvrXOyl+/a//9aejX4PMfTl6BnE47N21XcWmOlabi/9d6z+pbcfyGZ9sHnUemtcW/dtXS8XlUio+xaPxI+9X+UPtzPrwvK7bR9P0p3GQ3YfiH+sV/6N8RV5bbL+9mGkF5sQQC/4bn3PbmDqXpOH/h//wH04vHRL72TeX4M66vgr7yle+coqWpsXH+F89bnLSAn8nq515J7+UizWfzT+r9y/5Vn/ahpujlSVfETNYXjn+CZ/wCddvO83+kbM3bZdOT/mXfdmXXf3lv/yXr792TebVAd/yLd9y5THjSXObgDXbE3Z81iv9oiZMSu43/ZE/8kfOHrFU4SF8OuXoa+Vz2LBrOO5WTRMpXyt/iN/VmRjuh8KfNtO7lLMDv+ewp92bsOnMncZtdRw8WLPi/f700Kxf3fizCk84+/+g9x1MqXdf/0827vHn+Yi/M4K5Yd3DvVtVxQfu8cDt1kr3LHRP2lskex2vcbqK6l8HoI+NkUUGxKb4rPR7umd+aPua8lXp4/yzCle8kR2Nd9E0B63Ch7N7fMLvyqL+XdnHxWf1/mXGd9rYFX8xsfj9z/7ZP3v1eZ/3edP8vdOucLjTYC7gu9/cVxwB2abjHUVueTspsb7FPsMnGp7UXy8CHv3Df/gPT0cyf/AP/sFEy3gd4ch09WfOYddQl+69jrTAJL+0IdnQ0fxfjZ9/4jMvSa3yH35Pc3zHd3zHydxK7PwvPuVX27C+48M//MOv+zs7K7g+ht/4XO37bnwxeNWrXnX1VV/1VafLmCtiMjH47z0Qjc/V8WHL+LH9tr1N+yvSjR9Yq/3ns/vdXqm968qEqxLf9m3fdjozXhGPibG7f+F7/42d222Prk+f7pqGjerfuV+7K8aT9NgwZprjVo8f9tn40i/97Y8S79sv51dtdMLwt/7W37p65plnrn7Tb/pNpysP5sQv+IIvSPXkp/neyww7gIhTguWdKF/0RV909Wt/7a+9+gN/4A+cDhh+6S/9pacDVgtxv/zLv/zq7/29v3d6uuS3/bbfdvX7f//vv8Y/l3h/j89pXSirE/CVVyW4NbHlOyNbdWYJf9roPhb8HbQ6Pjt8vA2z+NvQdmxsxZ8P+mUl8ddZN74aOz+n/8meJu6MDO3oWzEvPjvwbbM7H7dr/OwaO7vHSf7v6F8xgW9+27GjLzbGzy58/muHA6FdfcyG3+H1PafmVeYK8+/8nb/z6mu/9mtPT/c4+enN1ae6zwXjDW94w9Wv/JW/8trX+oCOA4kv/dIvvfoNv+E3nA4kVPF+Igcff//v//2r3/f7ft9pUb/b4t/4jd945ULDk9r8vBxMcLSGuKe4kgRmNtJlQLIG1Cx7iN06J/8dFaIpfwjuTXXgww7/Jr27ym9q/yr8ox/uuaJd+Pp3F4mV+NfXO+w0PndgPx+Yjc+bxtUlPhgzxX8HvjlB/Hdgazfc3kC6y8Yl8b1L3bav1f7rWwdznhqzdmsHsbGzf/nMRm8hXd0G2OJ++j37+qfHTFRG6C3HXi4ppp//+Z9/9Rmf8RmnejCQ223vec97TuuPkuGdBP+xP/bHTgs9LcZH2XYwIe1Kxyd/8iefPthocb7by+GcKpz587wdTORIl5DP+PIg0XHQu584g57dB4E/VwmGH9zwV+Ce88klXlSnn9N5qGyXz9MfT4YUq2PfTL2Hpnd81TZf+J3/ZCv9D6vxsxq/Nuzm4qMtO8YS3Mb/jnbAdwa3w/f8Nb85aNlpYxe2+MzxWZtWcX57x0338FfhhpP/5Vdz+DttwBaj0++Dn7zWybYy3wti3NlvqO99OZ/yKZ/y2Pos+HRwCzNf9rKXnd5LJE5kyFUX9VG+5Fc6p8Izf563g4kcWb2TrOHaBjv87J1p80UiC3zYDH/avwj4UWWY/er0+2Jq/5/8k3/y6iUvecnVL//lv/zqH//jf3yNmc/3xbyPfv7jK2OTD9qXjR34+ncH5asj/ChZ+VV8Zz/v3L7EY6fv4jvjvyreE6f4TNnK9O4xc5cz0Ie0p/nA9rWzj3dtv7PNu/v4UYDOxqi+x83rn/iJn3i6SmKRpSsRxRV/3eted3pqY/otnY4nOr7yK7/y6q//9b9+/RKutr90yoeR/fJH/rwdTORYHwo6OvLQvIbD7mdxDGpnXGAeil+9cCzwQdmtfBW3ADPShvuSF1Z5Q5v7Za95zWuu/tAf+kPXbzWtDffFvI8+/+uLHfaKT+PpPr7dRVf/5jcbq8ll3sZOdlbb2Ik3x/9qO+Jh+238rMaHa/4p/rvwd+7Qdo2ZticLSHdQ+J4OcJtDfiWF3/ywEjusxk1jKPlKzsbpGsENy8EsqrTWwScvXF34B//gH1z9o3/0j67XevEFhncK/bJf9suu57JzPrrK+BVf8RVXf/yP//HH9GonjsS2k7hzOMke+9BXwpU8h+LuxaykBlGY4Wfv0kELB0Z2XMYUWAuJTBqVZf9S3kp5ONm+D6Yj1i/5ki85Xc51SdcCHDIrfS+NxV38KP50d9iDX1/cxZ/76nSZPRur26B/w76vbx9ofeOx25Sr41Lbdt5GYWOOn9VtEB/9u3sRNTurqbnGY8Wr45KvcD/0Qz/0egHjSjv8d/JV/2ZzJc/f3TFi54PP3ObQRm8w9sRFC4m9F8qiU3UaF9I+rTAXw884/NN/+k+vy+wXLMJU913vetfpkVBx/M2/+TefnhRRz3tfLMq037vtBPf+p77Tqzuk6wCqzwZprckZQDZqLFt+lSt7CJ3zn40CO8sfgn+s02p5fj8E+x3veMfpXll1X/rSly7/HsrR55lnV2zQpbGfuKXrX/naWNmlnL/h7/Cdf+FLr/Yf5k7i726fw98Rf5jh74gTbNtv43+HjTB3xYf/O7D5DTf8Xf1g+9rlf7Fvji6/g587XNQu7etAgl0HDGI52yzvPRGTZrkybaCXrnxvvqbLRk/GsMnOk9p9vWcH4KjaKtEdVIO7TLrKRgEpWN3mgJ/sUlsTB375+KX41deW/C9eld2F88cHYubjdc6Sno/JLf/0784Nel4GXx1/bfCekkgfrKb6dzVueL/xN/7GrW8g1b874pL/4q9fd9iA6zL4Tnzx2TEuxQfu7/gdv+P0UrLV8Qlvzm/1yUruPRPz/v5KbPHZuX2JERvGaPFa6T8s+F/xFX/w0Xq3T38/aPMqu0/6qTh1jvnpuzTcdLJRPj7rnJTP/Ln+0Bfl3/7bf/vpcZEzektEbLiMuZIEP4LvGVxEfpcAVPcmHk52rHaG60dW+U317yvveeH71ktf+93T8zgP3zw7PFfopreLiw8qPqvtaJ+DoxV9e/QNZuMn/1fagVX/7sDX3y5bdqts9dgUL/7vwIVdfJrcyFYSXPPPyj6d/sGF/6QzuFnnrmkxR5/7uZ/7fmedd8W4Ta8+tf3uiH/45qUuy9/mz33L6lPjs/R9Me6iD3vXNtC89uJHH2k8Xlm4i28faJ3rKxMcsQbAzmclNYgESnr1auo5cCY+ufxqyv86fjW+o/ZLfHdP7Xu/93uv3XJPzapf/j4fJD474p7vVi4jNmbfV34pF3+0G5+NHf6Lzw5c/qLG/7O5tX/FvPGzawzVv2s9fx9aZ927/J/j/31W16T4vNt/+5idC1QbP2si8jhKfcrGzm3sv//3/37qh8etv/Bz1wcTAiVIVpuvJEGHjfvtXG3L73mZK9uXtAdGJB2+o/faVfkK3mVYWNP2XbG9GvXrvu7rrr76q7/69BYzlxU/7dM+7UFYd7U59erfHbFhp5XUxX/avjTN5/oXlvxKgjcvg6/G56uXhu2cUIvPDt/5Lz7oIWP/VPGWP3z2tMIu3+GaP3ecaIgH/B/7sR+7pYWXFdmmmn9Wxz//vXmxA5bLvH28ttj4NX4eL12bK0ZrUd+3nkobOmhcbWMn3vUnyBlxxOjjIFarriId3ECSFqQWjay0EZbHjo6vO125YViTkP+1LdsrOP8tfsnn+F2w+YPe/OY3nz7m5VKZy6I9QeCxoq/5mq+58m2O++DexTYd9md8yFbbaU1IuHG2LqX8N36i1fjGv/7ddSnZRGT7hb/ahvjM7WtlbMQbvvjsuAwePv/D3+G/HWWL21bGX2yQN4Qeb8WRr2iLgyD+zzVXsFeRNsC3jou/K3zOtw7gGp/JV3L+8/k4x6224YDUYkjzkHYZT/bNK8fTQ32+rc+ur0wA57jOWEmMtyHA9YnhlVQHw5T2hbNJtzV+6t2Uznfcz5lB6WPbbsK4j3yeedzX9/S9BtWHW37X7/pd1wcSfKj8Pv7cRxf+v/k3/+Z60O+wJz42qh3Y2uqNcmHH7xOD23ThGZ944+o2/YeUeY5/Fza/xWcXvvYet9+HxOC2OsbP6n7NHlyfpzbxr7YBz8/JHt4clO1L+0R9uLbfbIW9isO1eNEYXU2w0Zw/V9uAJ067bNSnDlbsiztAiu9oz0rMxw4mHDV2GXOVkeMgn+8hWG3DgOo59VXYDdJ47yGAf2zbCpvi0xHoDvwVPt6G0XsIbtO5pAz+zrjo3134cHfGxxj94R/+4SvrZIyh1e0wqYkPO20Pl/TlubptX6t9Z4vP+X/O9qUyPncVcLX/Yu9EzxdDvUPAN46mjRX9AYP/cCf2pXGpPkxPC3ZlKPkKXvt3br/8bAyt8PkchoO5b/iGbzh94XmW174pe6Glrw8mdLTLr602X+WoIDQwpW0UKwlmP3aO+Nl+qM3q4/mPo+w+FPtcPXayea78LrL8iuf7XepeqiP+fpe24SY/4IZfP9yke185vDl+VrfhiH9f/56k/973vvf0OeI3vvGNW+K/23/tWx3zY8xcNWBj9dhhB+YubGthfvEv/sWn2xzSXpX/fd/3fcfmPTif78V/Z3yy8WBnz1QMU//upuaf1Xa8tfhX/apfdbqN7oDid//u3309nmrfapsr8a4PJnaeDTdQdcLqBZ4FGWenBXptDPGHBi3fw8n/udN5KPaxnjbw/xLKzzDk69tjWTorOf+zWd+sxLf4acejd/mY/9qwOl7i0fjJ3qUcpp8DCItvVz+NdfSP/7smU7as+Vgd99ogTsYPfOnVBLP4rG6DNxB+9md/9tUf/sN/+OrP/Jk/c/Xn/tyfu/5I08r28H+17+IsNn4OeHcsLsxn/u/oW20ozs0RZCvpm7/5m6++6qu+6ur3/t7fe/V3/s7fOW3Ttodd7VnpO6wX1QkmCKvAXT5b+S6IBpEdGhs+QLWS8r+Ohr9y58n/bEh/7Md+7Klz2aiTK1/Rro/7uI9bAfMBw/DGTeQMYcdOH35xn32zosHwfEnPONWnK/uVf/CKj/yl/s84iPc3fdM3nd7V386+7YCtVWT7Wh2X6dvLX/7y6/hP+Yq0eO3E5+PHfMzHbPH/y7/8y0/blLNXc9B8I2HjYEWMYO8c/xaP7hg/xWDn/FlcVu/D6rdv+ZZvOcXm3e9+99V3fdd3ne4S/PSf/tMvnifC380fuzLhNsdHfMRHLLdp8NTZPkK1msKG+6//9b8+2ZqyS+zlOzzpH/mRHznB7dggAItPti7x+wNVt/7dsSPTptm/O/rAp3vh+q0aQ/UFPGsaVtFsv68AvuIVrzjdqmz8rPaf3/zfERvYcMOXX0278flrAam1Z3Y8K8n25CmIT/qkTzotYvyLf/Evni6D1xf4CvrRH/3RUz+swDpiGI8/8RM/sWUBZrZ2jp9sNMeVX8V7CujP//k/f/WX/tJfuvrVv/pXn7bnVfi7ca4PJnS03+p7TnOQS69egMlnuG284ZMpW0W1owVi2VuFH44FUO2Is1nZ08CL/y5fe2y5GK220wKuzkJ24Id5af82vuGEZUcmXVm2VvHG/yq8icNn438XiUsLeIvXalve8Nijjyux68+3vvWtpw/5vfrVrz598Mk4tS1U/lCb6s/474gPfGfaPXr6UF9vqlf/3lR+qRy+3645Dra+/Pqv//rTAswf+IEfuPobf+NvnNxW9kKnD24QcdRtjp/8yZ88+Zwcn1R+lk8Z3ZmXLhDS7unKp3NOX9mxvPwsmzKYft0zriz86iWPz/LSeEQv/8nc80M6fcpPwkd/wo0f5fLK/DogKa/MY0HVnfKZDgNHt5Udy+nym23pSeUn3pSlm2zmqzMfTUxGrzpTNuWlz+lNmfikG6985o+yU6Xn/hzbPnUbn2KUPD7xw6ssTl6/HvVh9ljcxE9v8pmGPfErg4HwfvSSnwof/Zn1w0k281NfepaV9nY+7ctGcrx0dcvPstLxaRMm/LCV1VdTXxolK38S3vAnHfGHX/6ofsS8SU89ZfkXjicuqjPbkax66U95snTCpgPLgYTPRfts9Bd/8Rdfx6ny6k1M6WMebrrxfG37Sh4PI06OjljPSp/9m27cnGm9hBNWsuSTTzmUWRb21Km8PjV+qldZ/CgPb/J0b+La2xw9dW5Kh6283/Rj1vv2b//205o57xIRp1/xK37F9kel828F/2Cd0EBym8M9LQ1MxkiDuoEzDaeXTnXlKytgR6wpr97EJkun9MSULq8ena6skFdnYqaH57N0+vHKwpefsoktfa4sGY6OdTqjmHIHdFM3f07C5zDCTYanBwulIz/LpJXh6eFTr/xRFuYsz14yOkei06+y8vHq55f89JuefP0bTjr5ll5yeTTLq5vtdMmP+OmEc6wrDzuM9LJHPsuS41H1y2dTXnpikKVfWXryzvrOydOZvpDJTzx108Wnn8rER53bdMKYOke7J4BHf+imX3rmsxWv7OhXdcnTSfakfH4Wh3xLfhOO8vyqDox8m77U/vSmT2TTRmXmh8rcR/89v+f3XH3jN37jaaGtsuzAvslWWOHDm76Qz3xvT00/G/kxbU3sypMd7cjDMn7SyW48jDj9ynCUrPzRT/5XNvXpzbZUVv18So4nw2GG2xydztQjQ9XBS1c//TDLW2T7tV/7taerZ97U+rf/9t++/gJ0Os+ivzD/Xt/m0LDZ2dLHBsxgpE/Hr4FfMysvH1bP2bs/lIxO6Wwc64VPrx/d6uF87j0T0upUDm9ik1cfpx/Jp0vPDxZZ/h91p76y6W9l+Exnc8q7jJzf8erBTl995fKTZ7+6lZHP9Dm9qRNuONOH9CZXzv9j3LODT6If5vQre/H0tHfGX7lffQObbnHJFlk66YcdBk6v+FcXn31Zvcqnb8myJV8fS6vrEqk62VNOX37q0qeHZpk0/XTl/aJ2BuXTTyf92gSHnfDUq00TI1nxn3hh0Q9n+j7l0pVJT4J57hIy/XDTz+bEUl++NpauDjn/p7w0PuOqDv0jTdlM80/ebQ4nZdJ+4U/d0urUjnP2wqDzrd/6racnRb7oi77otMjzxY8+BvU5n/M5J/xwJq508olNdqTqsSM++YTz3y9Sv7x66VY+26s8bOXK3OboDcWVpYfDw+n6Hf2d+LN95MiHyqqfr/IobOnqZodOtsKiFykLZz6gQHaMwawjPbHL145skntCx0vhfF/Jm4s/7/M+7+rX/Jpfo+ipoA95zWte85U81TiX6N72tredNgiXe//dv/t3p453ad+b3bzi06NV5D/tp/2067Tgvuc97zkF1Uuv6LhvKDDqeBGHyzYuD9H7uT/3515Z6IYcgbm18qEf+qGnxXU2RHnflDAxemOm++QWvbgf7DKlRTwGJZmDEo/qeLOauu985ztPGwR/tYFdaRu5xTn0vUXOs9p8s2DKyuhs6lx+w28xEhx+kLmPxVdt9NiOdtITD1gGjnZqs7NEb0v7GT/jZ5zaJsbq8NcAVKYee/zUvh/8wR887dBg8tW77Pnq1djwbYjizye+wuAPfVS/eTlMGPrEI1Psfvd3f/fpy5JsssdXbXOvuoVFbHqqZ/YJm3T1ibaJJ3x5Noux8VN82ET0+cMmjPpEv7aglU19IGb0tFc/G3vOZrSTzbe//e2nGNA3XtnQPvoWZ9aXytVju/Ejb/yIp76kb8zoSxji/a53ves0ftgTHzbCoK/f+CQebIkBDlMcGrPh63M2xUdc3vGOd5z6nD0+wtNeZbjx41ItfTGb8THG9X826xN+6kPjTP1XvepVJx/FkwwGO8aeeGknW429+lAbxEPblRWfxo+2OEN2wMUHeb6Kj/HDDll9yVdjVt9oj1jqe/r6Ej7bbdN81b9ioa3mgPpQGZvayqb2wjBms2nM6otpE3bx0SeNH+NQ/LQTrpiwKT7wxIAffERtJ/Urfbpstp2LnflNfdtmcwYMMuOML+a85iu2zUN02VAuPtqrbY03i2v/1J/6U1evfOUrT4+GfuEXfuHVr/t1v+5UTr+5jK/iXHzMefyy7etHemzy+dyYNb/pN7Fvnq1fjR99i9gUC1hz/NjW2DQOYYgP+403WNpZfBw8pm+74lNxb1sWL6RPps22TfqVuRVEh12+8iNfG2+2U7cSxJjt5nH92RwET6xwY9ZPTPn7lre85eRj45B9Y0474dq/sFv/60f1xVVaH9tvqGN8Gxviw28HiN4n4nbWZ3zGZ5za3R96H2i6zYfrb3NQ0mADoLMPjgsKug3kpHDLHxjh6EjBh0d2X9xjnXAzb0CaICZlI93ydM7JZt3KydQzUPLfBmFjP4cXxixLdhs3+Zl82YWNJgb5MT/xZhn59N9jZa997WtP3+aoztQ/YqdzGz/WEZ9j/Gf9aY98+id/LCdD6Rk/NvJkN+mfFB79eVJ5euGJf/07y1aktSF8eEffjrF8ks1iMvVMjh7vs7Nr/Mzymb7N3rkyshn/iSV9bM+x/Jg/2pAXn5vGj3KUnVl/po925KsbftvuOd3bZOHkw9SFaQdj+1V+Tif9o78Tt3S6OCxyJ0u/4Bf8glPRbfiz7rn0OfvwxKft61jvNntHvGPd2uQAwI7U+KxN6U789CvDbysPq/l/6qp7xDuW07kLwckG/YfinLOVjw46zUHG0QuNbmvv9ZoJGwJylHmk2wCOusd8AWpic+QXPQT3WGfmpR0ZTjqWzzw9+aPsXH062uKIt7acqxdefGLdJe1sQN2bbBxtZid+zsZtZVP/iD3L7pqe/atOtuNHnOTxY3l55Uh8IjGq3k083bvy4q+vG7t3rXsXveP4nHVq45Tdlj62ma6rfo2dJ/l/m71zZWTOHHHY+Pzd5uu5MnUnyYv/TbHP1qxz13S2jE9zXfm71r+Lnri74nBuDj3WP2c/2eTS5WF4j8XMH3Hvmj9iyIt741P++LsN+4h3k66zfwdc6ceP+kfbR71jeWP9OP+Ee9RPfh/uKgKyD0BHn07CC/9ox13Gz4VmtlS/fppDYFx+cSls0oqAwWiCuOmsY9q8T7pBhJskduHzSTscMTao2pndx98n6cJ/PkhbVvXt9Df/65dZdmmav/q3sXQp3rn60/8V8TnagJ//q2MEz20I2zHfd+C79bIatxjBvU//zv6Z6fCOnI6z7rvoHuuWV/em+vzXv8rvG6Mj5jEf3pve9KZ7Y+f7bRx+/t+m99Cy2uP2iisTk5RVPuX3TfO/8XPfunfR7yB99xUDB6SuAD5tdH1lQme65zMXl6xqjE5uwBwH0iob7dgNVvYQm6UfaqdBHo4YuUQXJS9/KXefEBWvS/Hyf+Kck2Vz6j0kvdr/ow/6d1Vsjtjy+d/EcU7nEhn8xuolOOfqiotv69jGjMtL2nDTGDH+V8X/nI369xLfz8UmmfiLzTnb6VzC8381fnjPPPPMyb3yl/h6rAuT/7sIvrG5q2/hNz53tQGutQ+r5/381Qb74N0HLNlbya+vTBScHR0tQN1GsRBIfiXB47+fo7rVBD8b7mdla7UduF0Zkl5Nxf0m7Jvk9/Fjxn8F3tG2xVI7if/GKt9X+y/++jfs+mNVe+B15i19if831RX/m8ru244jDp939i974n9pbG5rp/mhue42vYeW7boyVF8U//IP9fNYD56f9QYWYK7Gr0/FfxdloxjtsmMfnK1dNnbgXj8aqnNdHr3pntMlxm1cHaS8+NEjTSupoON+vn2QLXbILqE2gjDcsyTLbvJV3Hvfw985Ka3y94jTtzNqw7H80nzxgcPGavJtjl19y9/e67/DBnyr6y2kRpeO/XOx7dsHO2JvvNe/O/C1h/+7sOGbH1pcKL+K8tnTRjv61ZzJRt8e2mEDpkc3HRCtJr5rA/93UfuxnTb4bk3GXFeyqz2rca8PJnS0S1A6eyXB1ck6Qod7HGYlwZwD3+M/UyZ9KcEPM//lV2AffbMzyN48KDrqvVDzPc5WG1b7qX+b+Ga/r7ADz9MQeL8VuGHAFJ/GkvxKguexTZd6dxH/V/udr8Vn17iHb/tCu9rgET8L6HbMDfy2wHYXiYn5bUdsYIqJk1VPjOwg+M3PO/Cbd5qjV9soRm5zuJXytNH1wQTHNWauB1jVmDl5eg55JdUBMKXhJ1uxQYeFI8+2SxtYyU4Fi/7AR9ldBPu8wYh/cd8Vn84QVjeK396XkP/xVXbC39W38D07j3bZmP27Ki4TZye++LR9TZur0mLurHvHHNq2pH+1w281wRR/tAMfrgWSO9c1iE+xYm8lFZNitBIbFnz7lZ3rSlb7PPEeO5hwm2M+ejcVL0nr3H49CXEJ3rm6OsIPfp1Ob/XA2vnYDl934p+L22rZ9H/2wyo7+rczhFWYE2eOz9VjRzxmfKbdVWlXbmrDav/5CBvuDuzw8V344g97x9iE2RVYbVhN/Pa0zk6yD0C74t/Y3NEGPu/evvi9y0bjx+PXu67e7Ih7mI8dTDhiXH2bgyFBKlCrH3mBixr88MnscFDlp8wD/qgPOxz3suaEkd0HQJ+tAh+xsRr7rMHFQvGf8VoMf3pkSl/UH6vx24h3tAFm439H38LsPRM7YmRMis+u2M/4sLWa+F3/7mgD/y0u3LXDFBNrMnZQ46X5Z0d8YHpplQOWXfi2rx1jR8z5rI8bQ6v7wT7L76l9mmMGRKDaCU/5ijRsv9X3/MI1gKQ/4iM+4sTLr/B9Dnz+dxmTvVm2wtZHfuRHnmD0w2rsFf49CYP/bXRP0n1I+cRfPWnoz4/6qI96iFt3rvPRH/3R1/26un/hude6Y1xqoDEpPrvw9af+he+3mmA2flbHnq8wPZrb48Ur/YfNf48M7pijYcM1v2Vrpf+w2PB25d61sgN/9/bL52K02n94Ym//sqOPd/g7MR+7MuGIsTegTaVL0g3MuHedryS4foJvMpr42bzEng2gHzwLrDpQkV9N8NEO7NW+nsMr/mK2g8KHvWODa4He6gOVYuE2hNisGJthxuHCtx3vir8FbnzfEXs+699dsRcn+Ozs8B++7304+15NfBZ33+5p/llpo/HoOxbZWo0Pz5MKXrm/Ov75XP+u9D0sNpBvbuwgfeBnH7zr6scOv8N87GDCwo/VL62qk+M78OtkvNs00tmssQ/ldXL4+A5iJ/934D8fmPq3uO+IU/g7sMXnZ//sn30K0y58Z65h6++VBM9ZU09zZGeVDfj8R6t9z0fjf/WOJmy87Wt1bGDDdOZtHl2NL94wPTqL74g/zObn1f4XHwtgd76QKf/Z20XNQTvwxd02dtP3UXbYXIX52MGEhjQRrTLQoG9j8CGx1QT7iD9lK+y1ATuqRjvODuCKz44NGfbzQcVnl63Gj/5dTTD70qA+2NEP4rPD99WxOIcnHn018lz5Cpn+FZ8dsX8+/PdSJv6v7mO+h7srNnDbvlb05cTIf2syWuQ5y1eld86ftWFXjIpBt9HLPy38+nXaBqpOtpL0f9D/iMBDI7B6En2oH///Ws9ldi+t+h/98PyPgJ0xh21n5jZW6ee/hf/D4u4IOEm1D26h9m57K/GvX6dtoDoi8tKblQQ3Eqgdbz9jw89G5pvwaMqyfwlvA85/l2LJVhP/d+Cu9vMmvOJ/jVvt8wAAQABJREFUU/ml8vDnuLoUs/owe05dH6zuB/jGzw7fa4PbNDsWAMIXj95jkb3VXP+Kz+rYPx/+89t7FHb0b5i9gXd1fOD5tX2t7tf8dYvD1e/yq+3wfxc2XP2wM0b2wW6V7bwVtDrm4V3f5hAoO8gdH3ppQ8D79kQOrOANHrxvQyRbgc9vP5j5H35tu9ROeH3etvyluM93ffHP9/hKH3b07/RP/OvvVX0bvnjAd1CNVuPDbKKGvTr+MBufO3znP3x+78TfERu+I9+G2PVoKHzrMXZQMbd97YhP/ekWgQWq5Ve1pbE+559V2EectoGj/NJ8ce9jgJfiPd/1rw8mHEi4zeEy6UrSyQ1U/JlnnlkJfz1hZuPFh29/XDpo8x9H89E++eTSK4j/MHcuQlvh500YzpzsLLXh0tifs2H8FPP4Ob2HyODNM7/V+Hya7/VfjQ/PavwOVh4SgyfVMT71644d5oz/jjaEv8N3cePzXAD7pFjep7yx0tNAq7ct8w3/zW/4anxthenK985HQ80PO3znvz7wsw3soPx+6l9aJUiOel1iWUkFCL70jsdqssHvHq0kq/MvbU/4uMl6B8EOH+f700geHXSpblXsjzHY9ehadoyfxmqylRx+fb0SF5Ydgp2B+LOxmsSlg5UdB7t8Nn5g7/Afpvjv8F2s4dsROCnbcTDEhg/psbMLv/l5x/zDZ1d2dz322PgUpx0k7mx4/HQXsWEf/FR+m4Pzfgh3z28nrcbn8xz4855r7bqkPeGH5Z73nIySX2Jj1t11z3Xa2JnunuWM0Up7jZ/VcecjTPh8N6ZW24Bn/MzxujI2cJ11m7R32BAXZ5XFZ6XvYTV+Vsce/oz/Dnw2xGfXwRx8r3LWx6u3r8Z74391fODz2U5y160aPov/at/FPYK9c82EbddjobtiVDt28OsFmMCtAndk2kSE91Ne+i7lgp6eunWwDa3LjJXjHWlLz99NdtOPZ6+Jrnz1j3zaPmcPbjrVlQ+frDZVP73qJg/nHJ860hMfXjT1yGZeetqU9kNx6epMeTI8nVPi0Z9j2SyfZdkg66rEEWPWpZ+9c3rpppMt8rmR3RT/6uNo1pee/k4bdMM/jp8wJqdfW444Rxvl29Hcpg/3WH7M32TXmbHti/9+9OLhTizp8pXj+ZssPf6jMI9104uf8zPsdOJww5cmr375dI98lpfG0dQ9F/9ZXnrWy4fK4ifwgV/MlUtPjJm+CS9cfOqXJ+vKzW266U875/AmRv6af6buKfPcn/ST3ZbPh7DCL/4TI53wqlu+clybJqUDX9r2e6yfTvUrnzjhpptOMUyXnTlGyWedma7sJp7uLIf/4z/+46cXe+WD8qeBrtdMcNZA6otoBbdGzIbVcZXhs1y+CW3K1fupn/qp6x2mMj/ym3aisCJ6+dWgr144noM/+jfz0yYsZdHUC3/qS89njPOl+lM3GcyJS16+snTxc89Jw52UXfWjmSYrLjj9I0Y+zPp0kh/bUj79ybNB1nsIwklv2s/XZHG6tU06jMqVwa89U5d+RP9oozI8f9MJJ3z1pSuPTwxperCi7MbDSE/+P//n//x+faE+nHP12FZPWeX0yf3IskNuzUeLMNNvW6R3E9GN6NWuMCoTfzK/fC6fzuTnYle9qVfa/ICyWzsrx8OcnH5U3aNf8vCrlz5+tBNeWDfpFFP1pXvPBP3q4jMd1uTSEaz0k8U//uM/vuRjvDZVly/JKJYPN7/LB+Y9KOmSKfebNPPZS1a+usd6HnnsPRNh4/kaP9YLr7FT3fSy3/xzxEw/fHntTN54z048Ob2obSCd5GHjfurE0znWOeb5ZB/saY7wZt0XcvqDHk00pyhx3CU0G8PxVkFB0RB6GlynJivYBUB+1qvcxGaya8CGV72CJR/G7NCjfnrV04bOLsmmD7flj7j5Sz5t5Dcs8oh+ftJB52J0kz/ZEB/1yk9eOptx8ulXcpzckTT+hje84eprvuZrrr7jO77juh/psDfrw0N8LQ4nwaM/s2y2r3L+d+ReW+PphDmxpI/59NQLo/iEVZ3yONlsD1n1pREdsuTljZ/OnpLROdfWaWfqSk8b0jDi8LNNFvb0hf/ktXfaOgE99+do15oG36epD/KFerrS8OkUp/Smn2R+dJB0/Zscz++T0nN64VSvPH2U3VNm/JntTXzEn/Jil2z6RZZ/lZ+bH44YR3sTg9/0j5TdyuWj6sOt7mx/9qpTWXI4ysTGAsyXvexl1zGnQ3+OKTbCUHfalZ9l+UYuLT75mEz90tNHepWdFG74M23Uv+HdUOW6fdWN06892oHyCXegMuf/ymszndKnymf+TFvHYrbVb/uSp1+dePUql1eWbXJUX81YOlhxMLHrEe+T4Qf+0Yab6EP+9J/+01+pkJIv3r3tbW87HUx4U5knOzwq6mhV2r0cC2h8pty9qf/0n/7TKe1I6kd+5EdONpR7PEqHWqhCD9fJ8L1b3mRHX2AFzqM29FzCc6Dxkz/5kye5ge2Sj1ew+maC2zAW7yh3b8+GpVP5AYNN/nvdqUm1t63xnY8//MM/fNKH4XZONt3H8z70jsrVzaZOdzQNw0HWm9/85pNtNmsnfVh8pO/RJ/rFwLP5/+pf/atT/j/+x/948pffFoPBxLXN7x3veMfpdaqt2nalQnsNLvHhK2xtYItt/aJMHzoYdKnbvXk2xVNsnJH5ve51r7v6/M///JOvNmy+ivGHf/iHn/oEhrNnj1iJsTbBgMk//cjmh33Yh530YYiPMaGdxcc46AgePn/4CKP4wNBO7WgcGG/iYUOCWZ/oL33ylre85VQmLnzRJrbEBb76+lIcjJ/qKZPP19qmH/QjDO00frxy2ZjN18YgXxFsfcBHsSg++sSYpg9f/MWz8WOM8F+Z+Gqbcu0l4yNKX8zEn47xxkfjgIxtPtDNprFk/KjHR/1Olt/q61sTV2MWF5fGjTErZvpSPfFRrytmbV/KapuxYfvS3tmX+oSvuJjMeNKHwba46eu2L1x89C28/Gk7MY/AC0PMjB91Gj+2CfHRrsYb3Le+9a2n2Jkb4BYffaid4iw++r9tWnyPNunwT4yzCeOd73znKWbGZmOvcWCcaS8b5oHmB3a0R18ql86vxoN+ItO/nogwJ+hL/aOsOSB9bQ9jjnHjRtv4rN/EQb+wafuy/cJq3iEzVzcOtLnxZszqk+YAeM0L/AhDXOhp53ve856TTXXY1BbzMkzbg3FQW/hqW9a3xhq/jUvbifjqVzHOD9z2Zfw31vkhPo1nbdVmvmqbMahfUHMQf9nih7rs+PHXPPnGN77xVAaHjF3jvLlHO+a4ZYNd225purXDOCDXRnrGEN/Yf6ERH2+iD3rUic8eIj3S0BADtPfXqyQoCMhMn4SP/kzZTM/y6iqHb8BFtzlHR52pM22Unjo2VJOMOtnN1uTHsmlj6klnR9rA43/6cWUo3fvgP1vz2b/w85/kJvxZJ50Zh8qT4a5MvPa1rz1dmTiHXZ14dcuf41NHuviYbBHZkfL3XPksO9aTD7+yJ+mndxfOV+PHhDHbVd3b2lLZ9OccxvR/6mbjPvycTRPdK1/5ytMOc2Kds1X9m/Sm/+nyX3yicKduZdUpj6c/ZaXpi3/zQ7rncKozOf0n6R7nh1n/XDq8m7DzUV265jc7cTvfWXYOe8qyM2Xn0k4GPuuzPuuJ2BNv+vEkOf/NP+foiDPz5/SnrcrtaB1c2mHP+ud0qxOf+sni1W983qarTvrVx491jjrydBpDzXFhHPWPeOkd+bGeA1QHP+J0V4wj5q78bf68aDbEBuDo8UgB4FM/vSeVVwd3RHkfCnvWSYY7otWpcUeQlSebdflQOT7zU690vpfP/+rFK8fDn7K7pqf/5+ocsY/+navzUNnR1jmcqSPtgBTnl99xgztizPrHsnN5+MX8vnXP4R1l4m/cnMM+J6v+ubKjjN/wo9pR/iF82oD3yZ/8ye/n+9SZNm6ST52Zhm/8F58n1X9S+cSWpi8+7JQ/JZ77cx+8c7pwjZ+H0jnMI5YrC+JjLr0PPQm7mLzqVa+63raeVIf9u+ikx+/ir54fu+cwzsmO7T3WhyU+rko4mJh0F7ypfy4d/rmyo+wu9m7SEaNzZedkR7vn8urVv7grHa5WPBTvnI3nQ3b9bQ7GXMpzOWrSsUH3zYclSHYsLmkiOEesdG/jxzodSFTHkW90bkd2rH/MVzdeeZz/cMunF59y6X6VP4nP+DxJV/nR3rFO5fHKj/nkl/Lp/w4b8OEaT22Al/pcfbguizduVuOzU3xgXxqfY32YLvPajqOjTvK78FlXWlzEp7PuY/ldMJ+kU/8esWf+Ngx6t+nCv0+/Pgnv6ItbFbfZP+rfJ89vVybu4v9Nfic/5yNZ/lcev4+fU7f6+WxsOphIPnUvTcOc8/+leMf6DraQGK2m4oG7/eEW0dNGjz0a6mhxXsJc0ZiCFJZbKEdZZQ/l8Ex0Buz8hLR8g/ih2NWDw471GGHG07mUw8v/1diX+nbX+n2i+q7699UL/7YDuvtiTv3iT7Z6nMIMvwMWslUE06XRHdh8nONzlc8TJ3xx3xF7mMZPB0PT9qq0NQD3vSpxF9vFY9d99OabeYv7Ln7dVSf/rQUwRrN31/pP0gu/+eFJ+g8pr193xSif3OYTo6eNrq9M6FyTkMUrKwmujq6zLbBZPZD4G6aFNWyVz+6lbQrTwqdox6TN/2iV77vwwp08/+v3WbYibfwg+PXxCtww838V5hHHwrhsHcsuzYvHK17xitNCMFirxw/8/L/U15vqW9CGVvdtmLv71/3uboWeGrLoj3joz0/8xE9c3q9chO1XfHbEH771BhYuSq+k/OV/6ZX4sMJtDlqNX0ysl7BA82mj6ysTdozuBVm9upIEqE7Af87P+Tkr4R/Dgu/d+Di70/ZjivfIhBV35CuNund8D7gnqhafFb4/0dgGhY/8yI/cgPo+SGf2O+LOgph70qj+jb/P+uWp8GGvxue/pxXmupXLPX4fwjE+7ytZkxIP46fLyWtQH0exfe3Ed9Z6XA/wuAcPy4k9+t7v/d7r+e1hSOdrNR4bn9k7r31/afg7z7r5bP5f7ftsLWwx2jGGmg88SfJU3uYoUBriMo7LUCsJrg4oUPPMfoWdcGE5IPIoESLP9klwwZ9s4B45Cnv1lQlx8ngbWuX7Bc2+d1U+O2qvv+VXk/iI+w5smI1Pae1YSfDg46ux+clnTxLA3h2fHf7DNH5Wb1f1IXxXDnbFhx3zg0WGu6gnvVb3bzERnx3bV/gev2yR5+oYiUnb72rs8LLRLY/kK3h92pMcKzCfT4zH3r7iiLrHslY50SAyQKU9O7ySYCId4WhxPk5T2SX2YMyfGNUWNhsAl9iYdXec1Uz83enuhxaz1fbm5b8V/Tv9gxf+jgnVWJnjf7X/2vLiR180tBKcrdX4xQdfPe75DnfnvWLzQ/3L3g6Cvzru/BRvv/nCqh3+G587xk6YdsLNnzv83xX/fNW3xSjZKt648aGvp3E/8NjBhJW2Xr6xg2zIBpQXd6ykBilMnQE/Gb6aLICCuwObr8VHW3bZWB2T8PjcwUSy1XweLK6OD7wWuK2+jJmv4ZdfGR/x98Ibtzl2HAzxdef4FxPjX+y1ZTXtHp/wO1hcPX5g+3mPyI6xE2YHc+VX9QHfYcJ3QLEaPz+bP8uv5Hz222mDv/bBO59KWRmTiXV9MKGzdfKuBZgmN2QBzkritw03fC8tQTpd2QpqEMGCDzd7q2zkp/hMe8mfFi4+YiMu2rGadvTv9NGbCVH9O8suSTdOXAZHu+LjEunOyVp8+F57LonJubrhr94ZZ8tLmXb5b7y7jM93fbCDelpk9bZVTMw/u/rWNmUtwCXv+nhSTM0Pq2OTzeLSGE2+itcH3jOx+wraKp8nzvW3OQhtBDp69ZFXO3tcR7ezmY48NA2vTpbuhShskc/yh9iY9cPnv8mCDZT9h+Af6/C/HdlKXHa8AfOrv/qrr7/NcbS9Il9MasMKzIkRfrGJT52HpvXv7G84K/Hh9Yz9jviIjV/YcXZXkNhM/NWxgR9Jr/a/scPGauz8zsZq/GLjSZEuge+IP//h7vK/8bPad/Ev9rB34YtLdlbHqDZYU+JWZf3c2Hoh8Nvien1lgqNuc/R9gFWO2wg40MZwfCnWSjtseI98E/YK7Om7tEtQ+Eob00/vaI+KWfmngfeOeb7v8H/ehtMPKwme7wSEG19lQzz6TkMT0ipsOPz17YxdT3Owwf+dFP6OiRrmHJ872uFpODv81WNf38LsaY7VvsNmw/wvTqv9z9++gVR+Fc//OX+uwg6nPli9jwxfG8T+qX1plQD5IUdDq29zhA1f2mXYKSO/hGA18KVdBkzWALsEP4xstEC1NsQvsaEufL/wL8X7QNXvvf7isio2sy2eNtqFzY7419fT7qp0L4XbNWGLT5fYV8e/8bk7/qtifcThv/GJr45NtsRf3+7Ah+ulefhqyl/+74hP+J422nkJv/lndXzC047V+7CJLW0fvDNG2VvNHxuVDiZWv0GsgYmXXtmIMHHUoMX9kj/U5sSDNTdk+Uvxj35l7yh/WvL5v+PMWwyK/+q4F1/4K8ZNeJMXG76LT/mpc0kanvdwaMOOsQkzn3fEP2wx2IXPRvG5JNY31S1Gq8c/XJgf9VEfdX2Z/SYfLpHvjg/f2Fjdv42d+CUxuK0uv5uDbtN7SBlsP+8qWb3U4CH+3LfO9UurVHSvxmXelVTnxlvgttIGLPg6Yr4HYsWEDXMS/5PVpll+aboFhnB24F/q35Pqtzhp14S9a/xol34Nf9eE0fhpvD4pnvcp5/+73/3u69sc96l7F10x2bnAjQ/Ff8fYF585P9ylzffRMd9Y4MnOav/D8+2VHcRnP/27+kBo+rtrAeb0v1hNuyvTLaJeiQmL32LvVv1T/TSHxpgsXMJZTXOn/swzzyyF1wEGEpJ+5hF+g2mWPdRoWGxIOzPIVrKHYp+r99Ef/dGP4Z/TeSHL+K+/d8RGu/UvbL8dBL/JdLUNePBtZ8ZSY2tlOzyjvus9E/zk/y4Sd/ir456/cF/86D0c+I7Yw/QGxh0HovnsytOOsQOTDdtvtorbCg4TuQ3trHt1/OGLe/6v8PmIURt2jVHjXxvc5uhW5dGHF3L++tscnLR61D25lVQnwzSAVr+uuw5uA/Mq0ihZ+Us5W/xvQ8Czfyl2vk7/L8X8QNT/t//2315PdqtiM9thAW874ylflRb/+rV+XoUNZ46flbhhuWcsPn474t/43BEbmOHXnpVcTHbGn/++XbJjcTZsv9Xzc/E1VorPjrHDd+Ss3rc5VlP4u8cPv9nI3sp2FHdLDT70Qz90JfTzgvXYbQ5Pc7SaepV1QTdQO9tb/cW1OhU+O8dvW6yYUGGw49eaErLkq2IFJ3ztqW0r8Xdjmez4vSLu53x1ZlbsV9vgN/yoMVv+Ug7f+F/t9/TLanZPE6z2PRszPslWcvFpUl2JC0vcbV+74g+3BZKrbcDz81IytKN/4Ref1XNP8bDAedcbJMVk9f7lFOzn/hTzXduAGIm7pQbeV/K00fUCTI2wEa9+mqOAwNYZu4LUBPRTP/VTp42ujsn+Cg4TfoMKZhvJCnwY4pPvq7FX+Xgbjnui/K4Nt+k+pGzGZ8eE5553tAN/5wd8+Gtn5hLpat/FRJ/2UqNdY7PxUx+s5rN/V2PD4/+OKxOw9amPTCHz3UqCvXN+ztf3vve9W76qCl9Mdu1f4LdNtY8hW0ltU0/rbY4XFSANccTYmf2qIBUgfPUGwEe4taEDCnm/WfbQ9oQRhzvbke2H4p+rF2b8nM4LVVac+DfTq/ydmDO9Ar9446ux+Qe3A9Ed+DA9ejfH54q4hMH/YpNsJQ87vhI7rNpQfjXXB3MeWoVfTDy6uYsaN9nCV1GY8FbiTv92bFM34e9qA3u+nFtfTPsv9PRjtzncy3KJRacgE19p3O+c7KhT3RPIoz8z8Ca7o37Y5+Qwkod3ThbGxE+/sskrO4eVjP70nXziK6OTfnzaKT3LSk/eTgZ+9CTs6mfjJn7UKz/7Mll8Yh1l8iidmbaAt7YcY5defNZPNvlMp3uMfzrKb6JjO6de9c7hh30Tr86RH/VnuZ1BcUk+/aluZZPXjmTFuby6blP21crj+Eyvekdb8pWlO7ly8Z/+k6Uz02QzXzp+rlxZ4yff01OGZl56/iq/SUc5fOXhzzo3YYUXP9Ypj8/4yKOJG0ayyot7+crjyX/wB39Q8kSV4ehc/lRwpuycvpgcr0yHPXFm+iabyacdaWsBLBA+UvrxyuVR8mO+Mpz/zZ9H/fTOyZVFx3L5+qYdfDbIz+mTTZr5iTflsBqTP/RDP3S6Aj4xnob09QJMDROsvrpW42qgxqRTw5RFyvzSP3J6yn1CGq+DJkY6yo9ENn/KwyDPXp8YriyuPJ2b6sKhj6N8K08WvjTddPCZV44qn2XT32e1nr1ER6f4VK9ydfpNWel49eLk1ctusnQql5dGM53sVPDoT3k6xszM+wQw2bH+1JG+qVwMoqMeufioG4UrL+0HY/ImgXQrl59YMOAfKZ/Sj9Ob9UtP/SOW8aOcbvrwbqpDRxmd2hFmsVeG6HqaoJXgycNWTpbd5NWtLH4CPfwpPmFkY6pVH/5Nevky69HvE+1hKM/G5JXHJ570bBuM/Gh85luYyicGeWXqo8orC/PZ0mf/io/bHKj68WTy1S09senJ96ue/Md8zMdcj58j7tQPQzuzQYaSSVcnWY/OKqseXrkxJ43UjaTzp3rKpGfebTKvIKAfJn4TVhjnOFm+lG585kv1pl5l+RanOym92Tbl2Zg+T4z0pyws9We5/Gy/+LpD0Das/Gmhx77NMRt8bqKajaIrKAJBd9IMVoMv7qzJAUudm53qV7c8nozN9LNfeR3iVcLzy33pT7zS4dUG+SNebcwH/t/0zvTpU+l49cPPVr4kz//iU71wjly5yUs7kfLZ5qnv2xxf8zVfc/o2R/aK26nyoz/ZS14enxTulEnz//j2tnTjxzrn5GS1o3I+WFzYhnb0Sf7Yl2yRw7iNsnHO/2O9sPiXPTrJ8Xyv7sQ3Potv5UeefrzyY568duP//t//+9MitB4PzcdigCP2xRFHyU+Z8Yc8X6Ut0u6EY/oijY7tJlOfHM06J8GjP3Crf1P8q5fuMQ9r+io/dVrHYPvtzDis6XMy9aMjbnJ8lrHHjriSV5ae8mzl25GrE8axb5R5nfzHfuzHPtZ/4R71p5/ZIUu/eQMumR9Z8UlXOZp60n71LT5lpbNRffFX1jZc/fwLh35+4kcSR9hR9hyoNP/M+mHMcajulJfG4cWzUZ6N9jHK+Kw91Z/6ZGyGp0x6tnPqK4tmOtkHmt/m04e85jWv+UoOavB/+2//7fSJW5dipX/iJ37i1DH/9b/+19Mk5flgC5jIfdnMQhRHaVbo9s0ELz2hY4frMUGfLPa4lA4wUbhMZxGR948LtAUzMHya1mNb6sl7aYeBZ3J0afLHHj2OI88X5S6XeUxQJzra9ZN+xzveceVZezZNfGzyV5usdKdTe7QBhoHhjNHiID79+I//+OlyGZvyfIfHD98+cCkwmzY8+trJf8QufW3B6ffOe7ERI34o44N6/PR717vedeWVy2zrOAu6nE2JPT1x0h42kBjXDvpuVYlZMv55EZA4s/26173u6gu+4AtO+OLJJn3xmX3Cx2KsHd6pn4/pi50Nmk3lxYdtNltMx9/jOJgY2kHXWZG+0CYcpr7SB/TF8fu///tPftHnj3bpC/r1pXjpSxusGGtbvhrXcPn4Y49ibNzXJ2L1Az/wA6dn4cX6GJ++y8InNujDx+Vhi0fbB3y+6ysy8XzrW996aof48t040F79izfetJePjSm6YkoPrgmzcdB2Ij7Gv3ptJ2TabmxkU5vhw+K/+sVFXxvP1dM29WzrMGy/FnkaK/LNE+aAvougb9TRJ3zV9+zZjhwM8tulYn7pIxjiJz5vf/vbT1x9OPUhffHR53D0IRl8JD7Gj7iImbbZpsVh2rT9KtMnjSl+aKf4Gkvi0zadj80B+a3t/DMXsUlf7Lw0TH1+kzV36VcxFOvGbHOA+NSX+Vr8Z4zpGZ/ir63GLb/FRRmO6ssw2GFb++Y8Kz62XTFtOzE+YWkbGzCMe21q/LAhdvS0kc9zDmgeaRywT0/c3UZnz3bCprnOrTnxabuipy3iykf7AnGAwR99ziactiv6xn3bF9/Vqx8aK+rM+BgrYoNqc/3JDz7qez+2PHrNhjIycWDXONH/xoN2zHHLX+NNHbHhO11y40F8pLWRfz4zr53i+0IjPt5EH/So0afDviYxnfKSl7zk1LlkGooLjgEljdpgyAWmoMhHdNMj44hge/zoqMeOAZY+XWm4Npjb9POJjfDDUuYHAxbMZNk8tpGtyugjMhgmsR7vg8NP/Jx+bZll2Z5lsMOxEZgskrE98WEpQzBqJ64MKZ82yWD4SJCvhn7nd37nKU/O7k36E5+OPJr66oeh3MbPf8QmWfo4XSQ9+yTZUZ+crHbqXy++SR4m3GJQjPOrWGS7umGmz46dmke/4KIjRvFX5xzu1G+bmPjH+IQxOX32k8GcuLUTr0xaPE1Er3zlK0/bJP9njM/FasqmTbYrm/6Lf+NTvNCsN2XSleHo2I6pz6b4w2eTrvLZ3qN+ZfDVmTaVTX3p/K9NxVhZsjAm5zsbT5LZ4TqAgAvviK9NKF/zP1/zYdajXxz/yT/5J1ef+ZmfeaoP66h/U8yOerWDvl9tM//YvuTR9CMd+vkdbhhzvClDlbFpx+2AxoGm8qM+2bSpfnbxc2VTNrcvdqufDpkfO/zRDiSNpq1kp4JRlo3aBVu9cOnPMjbk4TUnyM/07H8Hb/YxxtELjfh9E12vhKHkiOylL33pY7qCrkynT6rTyetkegJ7JEGkj9igR4ZPysbsRAcq6CZ9GLDrTIMU5ce0TTZt1gb69LIbzx960jj/059YZOlLK/M7YlUGqzJ+ldde9Y5Y04falgxmGNLh5nN+5tPkR315BHv6Eaay0vmYHzj/lasrj/IjH5XRqd5J6dGfcOPn2ll8akOY0074ZGHlKxm7dKaMHM3+paf+tCWdX/TPYaTf2KWH4BUfeXoojDj5Ob+TsU8nfRjK4H/Kp3yK7LXPZOlXX3npeDL6cKtHHtnGlKmT78ryI04WLh4WflvblIt/demShRuf+GThk9+mHz4+2zBxs5nf4U+/55grPfXTxdHEl8++dH1z1FGWjD499Omf/uknPu2eBI/+pC9fml9+k2ZZ8umrtHHKLjrqk5PhtZVeGLWJbGJIK+tX2dRXB53Drx35Q49NvzDavvKFzuybbE4ZnQgOnWwlj5Ozj7ORnnoo/FlWLJWVpisdSdu+0Md93Mclfqr49SjTUJdieilKrRCU2TFTLj2DV1lcPeV+pV1qi6orf85GeufK09cBE99RY2XVLx+fcrKj/GhvlvO/OrXtqB/+TXy2O51swJ+4yqd+euQzPXWURVMn2ZM4LPVuwjxXvzrOzCZl/8jpJJv659JTr/jTyz/l6cz0OSyydM+VO3ONmijSj1eOH2XyR1n65M78pk5tiKd7G5/4M62O2wQuo8ILc+rM9DkbytU7p0c2x6d8+uewkoUVT36OF/904+d0k02dma58cvjtMKa8dDGTDyt+TmfqS7tN0k7hnP7EPabTP3L2/eC/6U1vuk4f/TrWo98YruymOrXD9pstdc7pJ8NLT92jbObdenB74Db9U+GjP7PeTbKpow3G521EvzrxqV8cksknS/84x03d8KujrHT106leOum51d2tl6nzQk9fPxqqIRrpvuWkGkg201NHvcriU3+WW41Mh2zSuXqVz7Jkxw2WHObEP9qobnjx5Hiy+JRJv/i5d/tXno38OcrVmVT5lM10+HDppj/TU1966hzLzuXz+VwZ2ZPKs1d9+vn7zDPPXKcnzrGOuudkT5KLz31p2ikdn1hkbvGh2jPLj2n6/ZRJNw6OupW3eI4uys6MVbonhVv+TNupuedKDq9fZelnO/mR5xP51CUX/4mbrakX3lEmnyyebrbEZ9qf5cf0TRhTb9okb36YOqXP4VV2jh/1+e3bPV3dqs659hzr3iXvwOC4I87GOc7ukY52KoetTP9OndvGc3WfxCeey/fWGJzDpdcP5qxXOn60qa1++rd2T91kx3rl6U795OHKS9MRI3TUnzZm+qT83J9jnVmmjn6wtuJ4EDj1Xqjp60dDOe8WQR+ayuEZlJmuPF5ZPDleAPEWbpGf0z0nP6c3ZTNtIQxiK7snwfiTfnwUvZ9PMOjFJ/6sXzo+MWf6tnI24E+d0njpiSedPH4sLx9GbUl+E78J7za5/j1H5+qck6l7m1x87up/fky80vF04i0klr9JJ93KJy+dzuT8nuO/snN1zsnSj5/T+dRP/dTTPWk67E1KPz7Ljul04srzf+pWHj9XloxOevHKcLLGz7nyqZv+k2RwJlbb77nJeuodcc/lz+lbc+aA7khH3Yfk7YA/67M+6wi9LM+ntq9Aj34mvw+fGK4MWRw9ZWElO3LlydI9cmPTb/r/pDoTg+5d9S2WRHfVPyk/9+e2Osq0wQGRA66njR67MmFF7nve856lbZjBk/akxUqqA8K0OpjMz4Shcy6h8HEU/grsc36JT7bOlb/QZS1OLW6r/S0++nV1nODNxaOrfYef/zviA9PTLvc5e71vG4vPfevdRZ//Fv9dus3eZAuu+O/G7/75TX48VC4+3/M933OqvroN4Znfzh1oPdTn6sHnv6cULMCUXk0wm59XY8OrDcbQDgrfE1Oe+Hna6PrKBMd1RgsYVzWkAIVnXcZKgj+py7xkx7Kp99B0+Md2PRTvWG91fI74u/MOSKMdE4b47OhXPsP12Fh9u8PO9H91fHb4W1/Gp//JVnH+N/53tEW8d+LbCRv/5y7hXxqjGY/V42b6Nue3Kb80zWdt8ASD32zPpdjVh5n/yVZzNjpYX41dv+462Frt7xHvRXWqhjiQcM9yBzWY2phX2agDaoedQbbYqPyh9uCGh4cPL5uX2pi+zcl6Je60sTNtMt3ptw0Zvl99s7I94h/2StywOtjaMXbY+EW/6BddX5HbER/P0O+KD9y5fRWzVRx+8ZdeTeK9c0fjIMXTHDv6tXg8H9vvcU3Jqn7QBuNzJ2WjeK22pY+t29qFv9rfiXf9NIdGmEi9F3wlzaBIuwy+mpqY4c7L7NP2Q23CmBvvvMy7An/6VXxW404bu9PFn53ZL6vs9o6JHdh8nONzdT/A6/PF0qvx+f/mN7/5tEPbgQ1/voNDfiXp08bPrv71jhux2YEP12X2HmtcGZuwXv/615+SO/yH2Ts+sreae3eCk9Yd49M+rO1rtd/wGjd9pn21DfF3dcuLz57KpzkKSJ0bT76CC5KfzvbGsJUEl8919MRXtoLChuWlVdlcgX3EyP8d/XC0tSPvLXHisyr2Rx+L/w58Md8Zfz5boId2xaixCn/HGBKfXeuF+Nv42eG7mHiLIr6LLDB0qX015fOO9Qx8he8n/uVPicV/PFY5r76uhDdmjM9itRIblv3XHKOr8WHv8n21r+fwHvs2RwqrN2QBshF4y5fLaF4TutJGHQDTZa75GtIVduCHYyXyfHw2ebG7lIcPd9q9FFd93+bwBszv+I7vuG7PCtyJkf/1+SxbkYbf+Fkde/55Dn6upF5pQ0xcxs//FfE4Ypjw5s5+pf9s1b/Sq7HFx/bb9rUDX/x3PnrHf/h83+F/2xW+Gt/Y2TE/Gyv8RQ60jE9Xb1b6Xzzafldinxx/7g87+njOEbP8knQxCmNXG8J/CL/Np+vbHIBtaPMTtw8xdqxTgOId+R71Ls1rJBsdmcrf1vD72AsHvjNjlOw+OHfR3RWfu9heodOVg11nUPBX9u1ss/6d8d/Rx135MHGvJv6/5S1vuV5kuNp/+L5VgKR3UPHZgQ2z+WGX/15KtuPKRPHwOu3OkJOt4OJhvMzxvwI3DNhseKnUrnUlbDU/ZHclL0Zs7Nh++cqGfbCXnz1tdH0wobP95qtKVzSmQSRIyFkH2UrKBkxHjPPMLLuX2msgdUS6Cje/4Pntws/Obu6se8Z/tb3OWlfHn5/GUfirx+jE5/sOfDY8lrgLm98+mAR/hw2YHh3cgS02SP/uOtCFb/zv6gPxt3hxZ3zMP7vwxd2TCvhqG/DEx/jBd9KOfVj+aof47Byj2VrNrz+4oQNcnnvZy1621AbcGRg2VhMbDSD4HbmTXTpow22wwifTJnyFjRkPGxu61O+J+XymTaY74lIbwt8RH37Dr6/ZXGkHvvGzErO45OsnfuInXuPbDua2N3Ufmi7+D61/W73ig+8gcc//XX3Q4kJtWGkjvL7NsSM+MFe/GmD6qQ3wW6C6Oj5sNX9OuyvT2rBjH8ZH8YD/ile8YunYWdn+27Aee8+E2xw7XlolQCY23GXAXaQzfHVw9QQ6B33f/tAWNMtWtKv4hL8C8/nEKD67bE78HTGCD3d1v4oHTPilV/sPr6c5snEytugP/3deRi4+uN9qEh8LJHdg56vL+NaGre7b8F/3utedkrvw57dXsrmKi7unFHbd5oA/54dVfk+cbEzZqrQ+he+JSp+Xf9ro+j0THLcTXn2bo4DAdkDxzDPPJFrKdQK67d37lxpk45lH/uv0DlgaAJdiV5//qPYkf1p48ef/6tiIQfjFf2Vc+Nx7Vnb4DhP+Dmxx4L+zpmKzYwwV/x3Y5gfx2XFFpXHy4gd826W6T+L61ecIxL8+eFKd+5TDdxsCX41ff/J/B752wvVYJd+zd5/230V35/jkszbs3Ibh77pNdpf4XaJzvWYCiEtQx0+QXwJ+rm7vxj9XdqlMR8xvH9T5l+A26GEj/odLVvklNtSF49e3CWBn81Ls57N+/q+Ky9H3xs+O+MCc3+Y42l6RLz4rsI4Y/H/5y1++7YSAvca/Hf5qMmbEH9819nfGXzz6NscO/8XlEz7hE7bFh8/837HtFg9Xjj0NsYt29q82iM0uG8XdNvwzf+bP3LYN7Ir9YwcTHgvywowdVEd82Id92FL4cIHqDC+NSRZfYbCOhh8lK7+CT/934K/w8TYM/u/020bWmc1qO/DyX9r4WUkwjf+w8ZUE721ve9vpE+SrsfkJs+8S/P/au3ddWZJijeN7YEYIgbg43BnNkbCAsQEP8QwYvAsSOg7MEwEOEjeD2yAwuIMxOAiXcXHO+tXi3xO76LXOnrWzRrOkCqk6MiO/+CIyMquv1d2rXxnH3/l1RP5ilP8R/Djtz6Pe3ZV//82hvVK6r5S/eRyx9+XrAt4jfgGznDt/V9YmrhnjiP1fzf0FuW9ziPeY5KlrJiR/RJFmQY54RdMiiDPbM+6qtvyLkV7Fjcfv1pMjuDfig2/6vPio/PHOY+V08Jb/St648B+5f/B3pbn2apG7/TnnsDJG9V/JObncv1lfckR9cB71vxM9kPkFySPFHBxHPJDhtXccR8mR5285HxWjmvuYw/HY5PLOhIm4EtZbLCvFBpqy+t/QWoBiuHCFrRNiHz/c29XxuIBoH/Ptct2H96Mr8RfzPvy7bezNN9/cUmoOq/OLfzVvfO1Pd3ir54BP/nRHcVfpL3zhC5dXxqv3jxca6nPkC47qvzp39cUZ/+q1bf28hX9U7nL2bR2yOn988u78OmIOYvjRsyOecJWv9V1dm9ZWDNxHxhDr85///PYOTnEfi/6vvyB3JWkLYxLa9dPs89ll9vTerz6fV24uYMw3PN0BS+7q57PHWGTHKzf8ZL+h8ktvoJub+ml27f0RHn/YYtTPN+zkaCxsY2pRm/7sZz+75R4uv4nb84fJZ2ptedJx1J9+xufRWNrYbIfdjDc39V3AFW7W5z7/fCdXHHT7RTv+uNlIHMXJttd34fL7n5sL9HDPB8y9T9js12KwkT127h9jzW2Pm77a13AT07gfrfr3v/+9xd2v88TPdvOYuvHyqq8+e1tj6f345J3tPd6Y9W1t9ZsXLJm2a1xh0jC18b788ssbR76N7XV+7HKYeDYSJo3/U5/61OXJ3C3qLdy+n1+6uep3FKea+JhDO59w6fDpaZ/xp12bVJ+Jq02Hm/oaT+P5zL7/Xrn29egw8dXfc8zxMGn5v/Kf+39+U8KkjWl31N/r/drDd5EqbLLnqU+T+vjm+s0xGGM+5niM3+Z46p2JJja1tgmmK4472wpkrEJk45Of8e6c33jjjafs+cGQ/G97t7dhJufeZpEcLhCLgyb3aZwtMOxsl3+x6Jk/LIErRnz1N8DupjHYYgRxAZS30bJPLEz22vphaEe2sDNPfmGytzbGkjCzz0bi1WbLrl/9YfBPntrllz9N4mk8XX7G8U/e6XPLcssDk/+eW9/YtNcu/2oT/wa+udGPl3bMWNn2fvl3gWfjzS0euNo0gYUrp814c1NcOp6PfvSjW5tvMa7hs8EUJxudPZ645N/YXTr/xvWLkQ5Dk7DOrwR24rM31/ow+dNk1mra/v73v184934zVu14cYaf/K0BnLZf2JwfVeZfDumZX3zNK80ePu3BePqyy2vmy49cG8tmfM5HH6/9n8SpX/w0W+PxTD1zZK/vAkw/QUBwdYShk2JNm/bsw2TT7vzdc+jHR9eevtrZ063FjGmPGjen9OQRKzzd3NnxzX5xjJF9/9b6OG4vTyZM0DNGb5MSRTCx9CyadmNh6WzTR9sRzr/S6YuXffptwJub6ccGM3W+m/HmxiKxXftHt7imLj7eNkx5xEnnE75/Dc1eXvqJdlzZr+GyFUffv2LKJ/8409OndjGqQblmjysdV+PwRL9DH74YcWen859a/cnMYbaNlcf0q108/XB09v7VMzw+ElbbWDWsT5N4bntvzVmfT/+aqF3exnAWMw66uNM2/fhOUR880y+eWWM+2Wsbr03r73m8Mi7XtHz2+GzbwM1Nc8uHvfiN6ftXRnH31x4YI/mns9Ns9TfwwNfHP59MZ+cXB9vkyZ42Xq3KvXzm/UMc+dHZZow42JoD/uz5sLkAcMaGUevJzRaGvX6Y+IpHE3bvrMA78o0fhj0Ro7GwxuLPFhd8/9oaT1j9bJOjWHuNK19jzdeTXd8abCxO/Xyy5TO5937G2MyT3zy/wqYnTzGMOfRnO2y+aTg1ovOhSTzTXl7ZJg+f7PnTX/ziF7cLtbUfk7z3W9/61v9K2KQ8Y/ztb3+7XZHsh0VcH+BCEP/y5nOil156afvMy+f62j4f9BmbJyH92InPxPDYCP4hzpW7tGfr7iS88nZFdT/uAovHFdBsNH4x+cjB5gsvLzHx+oEnefMXVxu/K4b5ebtXTG8ZybEfhPLb+cbNAa854uzf7FxJC+8Hbiw+nvLwzNd3vcV0zHnih4+/sWKLY26+NQMnr+ojT4d/NXTCyYu0DuHUh1+//1+N5UqKrWb9QE811vcXxt/4xjc2fhu9GjdfHPDyrO7qqj645WgvGBMbRzm65sbXptTHejTP9g68Ws6Y1QyWjxrBtQ/iMGcx1d+vGLLjam7w/NS8tZxr31qaQ/m3f9qz5umVqyvaxTM3eG1zC2++bK2FmDjlw6f5WsO5H+y3N25e1fjJXzmag5i4jMl/v99mfTpP7E91Eqc1sT/l+Prrr2/5s1tDtvLgX0wc6im29QgvH/j89Nvr2vL3jZRy5Se2NZGr+Yshthzx0zDVR2x4caxR57R87B/1aU3w4ZAPP7niwdeeVf/2rHYx1Qd3+PhdpDr3rDz4tWfFFMs5Z0xf3GrWPhCTD19jtP8usZbWkU2OODqv8KhnfuVqPnJqvp3veNjNRf4/+9nPto9S9vsnPP85X+tk3crVnpWPHFsTOclDrs4v9ameYnY/Yk3ZCbwx/NawfYBj7tnmCSdHPyolRyK+WJ2b9k3nTnk3T3i26ilm88Tber1xsz9x8pNT9Ww/z/1T/uakzu7/zdE6li/eGQuPPWr/znUx587J1pEvvDG5ylMbnzWpTu0fczT261//euM318ckT/2ctsQV1UQdikObrOOuNp8wdGLjkngsbCda/HyLGc5YsbLRcU9buPILV3/GZ3PI4xpHcY0R+cOTbGlYbeNw5kDHUbsx8ybwzVc7HlrfQfKvzacxccsjfhsVR/h44+RfXJjs4bLVn7HY9JtvsePAKw9iLA52Apctjok3Djt9p5/2HAtPszevuNnnIfasJ1yccWyGmxs4Nj6k8cnRXOiw5ZfPxNSuTmnYOLTLceKbkz0rFjGeX7r46TDwcdROl/tez7WJvxob0y5OXOnwjZczXZw9//StBmFpXBMjxt4GN33h2Trgyzuu8kjD5jdt7GJmcy7rN9f4aJjwM+bMw1qS/NMTw8afbe6XvV++zQ2e8I0jn72teOni6MOWZ3lkm7yw+tmmjjc+eWQLxzbzmu3pF37quOKoBhNTO0w+raV4BM7BXh2mD9w+t3Dp8i1m3PnGV2walpRXfZyPTS5/QS55E2kStdNNbE62MdrGo+d4PjgVy7Muz8r7M59i0Qre5uUX92xPbnwTXyzPSH19Ku54pm/Y9H5s9vMvD8+cvfOR7MfZi62955rjxqobO/FMfv7KXVyT5xZ5ezvjZ+fDPse0f/SjHz157bXXLn9BHk4O6kmy0Q52egquKXPcM3vrm+xzYIe/y17M/CeWj/VVn5lDXNOW/4xXm95jxXHIv/Xd81YnuCkTF091m3Hi3+fPHm5yFWOOxw+XT3nBy98rM9L41tn18ZCJybYN7G7gjOMv/2xBJxdbfHfZYRqD1fZq9b6vP8LEy5/Ecdu7vY0vbJjO3/pz/Fo7/vj0r+HKy/2bV5T67tNg5zkeT/jZx91azhjsxBj+6h/GWHw0iXfG3gZ2N92P5t/+j7txbmGKwRZujhW7senrXQAvfHpRaYzkP9vZ0htw3GSnm6f7h87fAb3UI58ZpzZd7rXpvXQOdI7zqT2xYpE4q0c53DUeDue7Tcr5Wl6Xb3MYtND9N0cTSiOJiE27MdrE77JVaON+238vxnvrp7FixEnbMNnbPPDGkv5iWL/89m39fOJn20tjdO3+WwE2G72XbHIo55lPvm2YxvwFsPasWdxh9Cf/7M82/MQVEyaZseJP5ws7243TteOzvtPe+IwdVzrf4uSf77S7gGtKvLQ9kbRX9GccnBNbLDY17y+YZ+ww+zXhE1dj4s0nxvnSsPbnxN6VX/Hziyd+uvmWgz7+ziV2Ih6JE47N+OQNT9fmVxtWfcofT2Nw5BpfcdNwxQivr72/f5j8sx0HTeJOT1t+xto/2g5jjtr85rwau4uPfWLcP3grXY3wNJ6GnWPaJGz9yWlcfsb+9re/6V7ynXlrd8DgjE9fOzx+0lzZifpng6m9Df7nphiN5Wu4Nl2MeIz7eMTHGY0bC5dtzxtn2PAT15j1rS0emf1i3I68NVYMdu3Zn1jt9mgY/LXD0tkaL4+ZN0zj+XoM9qT3scl/PfWZBTDJKY2xVYQ5Pts2rqKRsGx99bGCVsipi1u8xvjXvqbZ+mqZtmNKeZTTXocvrnG25qH9mc985rJJGg+fhqsdht7LxGmT6rPHznoZiz+/ff8uuxru/fmGp2cbVn+P2cfbSG9u5E9aK+29P9/pP/vwSXlMbPxhGqPFjGs/z2kPG0f5sb/yyiubudiN7ftAk7P1Ya+dD5s2uwvo6FmfxmmCNzytn+jPJwth2R1e2Tee38yHTWy2fItZDPY5lp2u/uV/F+4aR3NJT97ar9zUv7mw7fn1SRxTbwM3N9d88lP/KeyNpc1NG3dSTmGmfWI//elPX15186n28OFa/2x084BxhKnfeNcS5FuuccDNNn/SmodnDxsGrvtP7exh6xvjG1c6O03C58/mAnPXGzSfcDDxlJex2Y4ve3h9Ytz+pB35zna4dNj6+eiTfZ9NDPbGcCTZGu88Mx7O2Mxp2sNli/cx6KeeTHh7zg9mVBATqCi102HmeGM0mRjFcXjlRGyEJI7w7NkmZt+GwZnWdgEUya4dF73v3zW2AW9u8MxNK/94jO358tvzhpu69sT2zsQ+//vqNf3jTDdWnybX7GzJbIff6zBx0dVn1mb61c539idP49ngSPy3vbfmcQ0/ffft6a/duAt49zJrP7H5ZEvv7fqNlb/6tMZzfPoWN1u4vT1u+tVXX93eRp7c+U1cnNnCZJ99GMImfzL59Sf+/+O4hmcjzl/cJJ7a6RkrG032PvXzkf+ef2LCpePcyP/Dny1Mmt2rVu9MJPetFb+7jr1fOX/pS1+6PEEp7n06/tZLXtlmO47W99pYfmHDpLNP3GzLwcWfXei+x1/jmbbwbEn89Tu/ws7x2vdpPHN89othj8I0Zq3yyRZ2jk2ffVu/NfYY7CL8xyZP/Zy2Rf7Tn/60fA5tZHp+nr4i0FwEbZ+XFW8lf4s/85+xV8TC0eehR3CvyvE+HvkT+XtWvlriL8Zq/muft66M0f5pP63kxuXbKK4cdw44Vkrn78rza+anJtVnde7i4O/8mnFXtuV/xNrG+de//nV7cXPEuaUO6nNE7XF6YPWC1ceAzWdV7fE55v3DKu542vfzmrzGVuhq4jHYO4yPTd56e+AmcxvUW6RHiWL1jPuIGG3YuI84Kdq0xVip5etEe8xyxB3FrEfP9KdtZfud4Jdvd0wrc7c3fdbqPD5iHviPXl8xSHplfXB1/3MUP94juLsv83XDI/ZOdZa7GhUv+/PqanLEvpy5HZF7/OZwZO2rucfg2sV+DPryZEKhfJbVj1atTl5xHC7AWS1tVLzxizXtD40ZD008Y6zd2EO5p1+cPhPVXsk94xzddmfnwUz+3XGvjGl9j3zCi1/+K/bOtXnPVxyt+TXcQ21f/vKXt++2twYP5bnLz/4kR+SOc56/d+XwUHv8R9VGXp7MHbE/7Uf5f+1rX9umv3p/tp7z/u2hdb7LT919W83vPxTvLuzbteNzzPPr7XI8K9593FFiXT0GP8aPOV64eUv08l6ob3P40RK/wLVSLLIi2Uxk5YNM3DQRY/KvOOn2MfR7BryCf0v85gZvsdhWcuP76U9/+uTb3/72k+9///vLufHP/OU+52J8hVhf3KtrI7fyP2JtJ3+5p1fUJf7f/OY3253R/N2RlfxqdHR9juY/av+oc/tTe/X6epLy85///MlXvvKVp+7jxHpesa6kc3Z17uV3VH3Ku3kckX8xmsMRMdTJf3O4kNePw73b5L45X96ZKOkWo/4q3UL01aZVvHhmzj5TTKY929vV5Z3+y1/+slGs4L6WS/njPyrGtbirbDP/+zbeQ+PhP6o28rW+1T390Fyv+bV/jK3ml/981beaX87VX/sIwd+d9RH86q9OR9RGvl6MWYMjxJOsfsF0df6dq+6fj6qPnF2g6ncaVks5z/NrdYxqbo9Wr9Ux7P3irOY+mu/yC5iK46c/V/8F+ZyAInm2Ra9ajHji9Nv4tRubOTy0HRf+hK1Y2Z5X+6lx0quz5+V7J/3V4+hn0/33gbqvrj2+/fqurt/R/P6iul/Ya8+unMM7sb5H5K0GeJ1f1vkIwas+R1z3VM5f/epX/+vd1xVzwe+Y+3MF757DBaoeZ46S1Y8vM0/7pxp50HcfvVJ6Eu3bHKu5V+Z5F9elGorkN8X7V8O7HB5i786B9o2R1WIRSHMQp5irY6lR3OLVXhXniPqsyu1ZeKqP2jhWS18rw7u69vjmD+qszh3/keur3t4i7dscq/PHJ3/zWF37crV/jpTyPyKGmsi/+6OVMaq3/+bwQFN/VQx8eNufq/nlidO7Nr46exS/+h/1QFzOanREDPzOYe98vBPXfqzaO/FcnkwwmMj8jnSgFRq3k8x1GS3KKl58LYQLfMRaLTgd3qKjV86hXHHKn7ANrMEAAAulSURBVBwxh+Icqcu/NVkdy88JV5v0yhj4W9uj+ONNr8zf+Yu3Oazkbn8ekXd5Or/EOSIGTvuzV4DFXKl7MrqSMy759xHK6vrgc7h/Vp/V/OaA0wNxe7R5rdL45/3DKt548HcOHPWEEX/1OWINmssR+oWbxLdHXok7Vj/julYQBVspxcBrkc0hbex548VRHLnH2djK+eAqVnFW8B99AebMu3xX5h9/NT+Cu7zpo/jlv/o8K+95J7c6xjynjpjD3POtcfNaoeOP64j1xVmclfxxlju9kh+f9Y0zzb5CWs+jYuzrszp/NTg6xp5fzCPmgfehcl8+77G4DuJZ6e9///utaCa24sBbkcTx960reO/i8DGNq57dkd6Febt2c5A7vz4Gerscz4p3AVTrUe2e1fdZcEdwzrjqM/ur2/aPDY23NVkVQ23UHx9ZzY9X/uSI/OXr2xx91LQ6f3XvAurWYFXt4+n8rUbZV2j16P7nCH6c/gLbx0yra9/8f/zjH1/2Z7ZVWv4uID0id9zy9N8lvXu8Ku94xOgC4WwrNX4yz+HV/Pg8Bs+vSK+McSTX5WMOQTwA3/fM47aUb+8WL04blD7iO9hlJFZxOiGedz4VPx75x12s4q/QOElxV3C+kxwz/2q2Mr76q81Rgl/eYhyRvwcacgS/fNuT6ZV1wvlO1n9l7rjUR/6kfbp1Ft10zh5ReynK/4g9ibtzylvsR8SYtTli7zeH4ugfIfiPOgeqy+p3FI+owzXOF24+g9vumW2gToLVm6kitdArizW5TbB5rIoRP27tvays1Z5/Jbe8fczxne9858n3vve9Q+4wxNjXa/UcqtFqXrmT8ncurNpDt8y3t+VPr+bHWf6ira5RuR/BjbPci/MY8682zUV/hVSTuS9X10eexdFeyV894l/JPfPGO2tkbLUcNQd54o5/9f3Dijrct25PvTPhY47f/e53lwk1sRXaAuNZ/TbUfgH+8Ic/bDUr3vPmjmxyze8xPy/3Nf/qs497DfsQG96H+D2rj/qEPSJW/HNNive8GqffxcfjpHlevmv+f/7znzfeo9b3l7/85fYxh9irayRn+ZNrc3teG95Zn+flu+bf+bu6NmIRHxP4mOla7Oex4eb/wx/+8LJ/nofvmq+auP8p1jXMQ2048fuTrC5ifyjXXX5iOH+POneL2x6qv1Kbg8dgH3Os5H0nuC5PJkzilLMCKytgAx8h9z07PiLeyXlbgaPW86zvs1VA/ecD5bN5naizAu9MBV64eRZ9+ZijO4vVd9b7k2Dl2zeTW8nk7hnwqhjx464+2snKWk3+lbzl6mOO11577cl3v/vdrU7ZV+p9vVbPoxqt5q0G5b9yD8VNlz+9ao9e42dbXaNyP4IbZ7UvzmPMv9o0F/1VEmd6Fe/kqfZsK+tfzvGv5Jbr5D3q3BWHzFi3lrW38lef1TVakeV9OV3emTAB39Ht2xz6itZRP5196sboecDU7238vV/j9H5s+tdOK9D06S/UG6f37frTL1y6MfzZtOXfWHb6WW1h4fOZ7d5Cc5HPHM+vmNfGujAoTD6w8c35zLjxXfPNFn6PnXb5z/HGyiU97fE3ttcT2/7JRt+Hv8a9t00ub7OrlZMm7vgnrvbkCpdtYmrj1w5bO5+9vfH897iJh/nFL35xeZs933zu6mdP7zmnv/Wd43OMf0f2sFPXDptmnx9zsLOFv9bej4WZ9snf+TttYYt3TWcLW5zsNPFtlD7mmGPaHXHUT2ffc0/7D37wgwvPNT+26T8x2SdftnB9m2za78JPe/7Tb+aS/R//+MeTN99886k13fvGm386ezr71PYPKZ6xxqdtcoRJNxa+fuP7PZSdDntNZwtfn3Z0H+1jjv4dtrHHoN9Tku483/e+921/MMKWzLYiwE2fiWssmz6Z9k984hMXf2Pxw3TEP33n2OTLH5Z88pOf3DjL9db69C2fyff06H/32iT85J+UR3wzl9mGrx82DrpXqPiqT+Phm49+tjA2IeF/TeDFwBFPuOZQDrAkPTm1Z3/iNqebm+pTjnfh2YtB184+ddwwH/vYx+pecmGfeG0HiVc7jDbZj7HZP2oxOdnj074m8PkYj3vvpz7Tdi2nxuPbc9UvTnj9z33uc9vPabNN7j3X7IeLpzF8pHjGP/7xj2827fzC5z/tjU1dOzzC2vv9Axt+Czywc0ybpLXLI266/aPdeNj6c/2NTdnn0li+8u9cmmPGSTh62iZ2zot9xnz11Vc3v/wnH2x9bRJu1mXy7WNZXz5JfNkmPs50mHkfM8e0P/KRjzx5//vf/9ScypOe+H0OxmY++7a6tz9hr3HFMWPWjq+49OTI1x7ar3Ecc+75x5u/fmPttfyNvfzyy9s/eG+gR3TzHsk3Wbp/G9ROFMGk2WaxPIg5jHfAzEJr8/F79cY++MEPbhr3LK4xR7H49SAZloZJa5cXm3a/+x7XBr65mX5scio+PfvGw2vjTfxNO3wCFzYdF0zcONhpNhpeu3nSfrueXb1mnH7vvxi48ZFqO8e2gXET55wLm5jp8qLZ6P0RvthCzLm0vvwdcFPDOtibo3HCFm9+7OUM96EPfejCaSzfctbPFod+NdZmhy/v8PrqH1f88I6J56PfWBx8i2U8DuOO1jcuWD5JuMaNNb6PFTcND/eBD3zg0tbPjnfOYdqLYVwblo63XPTVv/Ew7Nrxx9FcjJM9vr3E3pj6FC/brfdb52x2uDkPuJmbfAjNLl71j4O9eWcrL77NId50PjD5GXP/+dJLL202fYIvKafG0s1jjuPNtxjWl+g7ws8+znnA68NOfPMsNpzzN5n42YYnOLXrs8VPG0/04TyR8N8x5Wtcu3lOfO2pw9JTimt9SfMXE/eMZ7x42eOb97Ns1a023w9/+MPUU3OHgxGPLh+4ajHroQ3bV3Hjp+VgDz02ee83v/nN/zUB4tsc3qbzzMtbUX761Mnh6ls/E+udCz84om2yxvdthWDDVVtfG95bRP6r3c/C+liF3duCeBU4e4XObvHhie/q4yfhtdm9TecOzyLt8eYJkx0nfmKM3cLzxc+mD1Pb27w9YKpRm2ZeoRxnPGqlBg7zKmcnlbmLC6PtbTr1qbbVB4Zv+avVnCPOn/zkJ9v1EK7on8evfvWr7a+LvQX+z3/+88nXv/71qzw4q7P5Ovb1nxhzh5lz/+Mf/3h5wFefa3ic1S2MNcjOByeMOVdn9fJtHXcYxmCqofWCVTe1wlF92LXxq6caapPWwjzYfUzmzqI6w6gJfjGza7e+Mxa8sfDFDW997Z9qCz/nCyc3fkQbFma2//Wvf212mOoD8/rrr2/8zlt481MjGPMwf7/7bx72nLZY8DBi6bff2p/isLe+YcRsz4Sp/uxyuGbfn18wYuNXH3XAw1ZNtB042Yj8rS97+c96zrb52j8ekNWhuvHHaU7s2uqjbupcrew39cSjnR2GXQ37US8vavA45z2Awsi5edHiVQdc2vI1xrf2rIO/IO/dmzDmLh+iDa/2DnZ8uOATdrZ8w6iPF0ztGXbzlT9p/+Cu3dytBXuPGbM+1da3XbTFkIPztccVe619yFdbXHY5WC9tteU78fI0F+dvLzjMl5009+bLZkyt8KhF9aL1537in90etYfiouHlJG+104avPWshnjk3n+pVLdxHsNk3j0neesn9mLI+cz0rcFbgrMBZgbMCZwXeNRV44ebZ0NPvF71rUjsTOStwVuCswFmBswJnBR5DBV70Fs0pZwXOCpwVOCtwVuCswFmBh1bg/JjjoZU7/c4KnBU4K3BW4KzAWYGtAueTiXMjnBU4K3BW4KzAWYGzAs9VgRf9JewpZwXOCpwVOCtwVuCswFmBh1bgRV+jOeWswFmBswJnBc4KnBU4K/DQCrzo+7GnnBU4K3BW4KzAWYGzAmcFHlqB85qJh1bu9DsrcFbgrMBZgbMCZwW2CrzolxJPOStwVuCswFmBswJnBc4KPLQC/websh1OpEWOVQAAAABJRU5ErkJggg==" alt></p>
<p><em>MP1 may be present on spacetime diagram.</em></p>
<p>(ii) constructs light cones to intersect worldline of observer</p>
<p>X first followed by Y and Z simultaneously</p>
<p><img 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" alt></p>
<p><em>Only Y and Z light cones need to be seen.</em></p>
<p> </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>