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</div><h2>SL Paper 3</h2><div class="specification">
<p class="p1">This question is about polarization.</p>
</div>
<div class="question">
<p class="p1">Distinguish between polarized light and unpolarized light.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">light is said to be (plane) polarized if the electric field (vector) lies on one plane;</p>
<p class="p1">when light is unpolarized, the electric field (vector) lies on many planes/does not lie on a specific plane;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">(a) was either very well answered or lacking in reference to the electric field.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the interference of sound waves.</p>
<p class="p1">Two loudspeakers, S1 and S2, each emit a musical note of frequency 2.5 kHz with identical signal amplitude. Point P lies on the line AB and is equidistant from S1 and S2. The speakers are placed 1.5 m apart from each other and 8.0 m from line AB. The speed of sound is \({\text{330 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_17.10.08.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/22"></p>
<p class="p1">A person walking in a straight line from A to B observes that the intensity of sound alternates between high and low.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">With reference to interference, explain why the intensity of sound alternates along line AB.</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">The sound has a maximum intensity at P. Calculate the distance along line AB to the next intensity maximum when S1 and S2 emit a musical note of frequency 2.5 kHz.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">S1 and S2 are moved so that they are now 3.0 m apart. They remain at the same distance from line AB. Discuss the changes, if any, in the rate at which the intensity of sound alternates when a person is walking along line AB at half the speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">the waves are coherent so interference occurs;</p>
<p class="p1">high intensity sound corresponds to a position where sound constructively interferes/superposes / low/zero intensity sound corresponds to a position where sound destructively interferes/cancels;</p>
<p class="p1">high intensity is where the path difference is an integral number of wavelengths;</p>
<p class="p1">low/zero intensity of sound is where the path difference is \(n + \frac{1}{2}\) wavelengths;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{330}}{{2500}} = 0.132{\text{ m}}\);</p>
<p>\(x = \left( {\frac{{n\lambda D}}{d} = \frac{{1.0 \times 0.132 \times 8.0}}{{1.5}} = } \right){\text{ }}0.70(4){\text{ m}}\);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">distance doubles so fringe width is halved;</p>
<p class="p1">so fringes are encountered at the same rate, no change;</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">Most described the interference in (a), without giving a cause, such as path difference.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many answered (b) and (c) well.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many answered (b) and (c) well.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about standing waves and organ pipes.</p>
</div>
<div class="specification">
<p class="p1">An organ pipe of length \(L\) is closed at one end. On the diagrams, draw a representation of the displacement of the air in the pipe when the frequency of the note emitted by the pipe is the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State <strong>one </strong>way in which a standing wave differs from a travelling wave.</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>first harmonic frequency \({f_1}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_14.53.09.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/A3.b.i"></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>second harmonic frequency \({f_2}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_14.54.04.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/A3.b.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Use your answer to (b) to deduce an expression for the ratio \(\frac{{{f_1}}}{{{f_2}}}\).</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">State, in terms of the boundary conditions of the standing waves that can be formed in the pipe, the reason why the ratio of the higher frequencies of the harmonics to that of the first harmonic must always be an integer number.</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 class="p1">no energy propagated in a standing wave;</p>
<p class="p1">the amplitude of a standing wave is not constant;</p>
<p class="p1">points along a standing wave are either in phase or out of phase with each other / <em>OWTTE</em>;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) antinode at open end node at closed end;</p>
<p class="p1">(ii) antinode at open end and node at closed end and one more node along pipe;</p>
<p class="p1"><em>(judge by eye)</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">for \({\lambda _1} = 4L\) and for \({\lambda _2} = \frac{{4L}}{3}\);</p>
<p class="p1">\({f_1} = \frac{c}{{4L}}\) and \({f_2} = \frac{{3c}}{{4L}}\);</p>
<p class="p1">\(\frac{{{f_1}}}{{{f_2}}} = \frac{1}{3}\);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">there must always be a node at the closed end and an antinode at the open end / there must always be an integer number of \(\frac{\lambda }{4}\);</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most candidates knew a difference between a standing and travelling wave.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Diagrams of the fundamental and second harmonic were often poor.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The manipulation of ratios defeated a lot of candidates.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Very few candidates recognised that there must always be either a node or antinode at each end of the pipes.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about lasers.</p>
</div>
<div class="specification">
<p class="p1">With reference to the light waves emitted by a laser, state what is meant by the terms</p>
</div>
<div class="question">
<p class="p1"> </p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>monochromatic.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>coherent.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">(i) (the waves) all have the same frequency/wavelength;</p>
<p class="p1"><em>Do not accept “one colour”.</em></p>
<p class="p1">(ii) (the waves) are all in phase with each other / the phase difference between the waves is constant;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">Most candidates knew what was meant by the terms monochromatic and coherent.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about standing (stationary) waves.</p>
<p class="p1">The diagram shows a tube that is open at both ends.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_15.13.46.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/02_01"></p>
<p class="p1">Point A shows the position of one air molecule in the tube. A standing sound wave (not shown in the diagram) is set up in the tube.</p>
<p class="p1">The graph shows the variation of displacement \(s\)<em> </em>with time \(t\)<em> </em>for the molecule at point A.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_15.15.29.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/02_02"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline whether the standing wave is transverse <strong>or </strong>longitudinal.</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">The standing wave in the tube corresponds to the fourth harmonic. The speed of sound in the tube is \({\text{340 m}}\,{{\text{s}}^{ - {\text{1}}}}\). Using the graph, determine the length of the tube.</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">The tube is now closed at one end and the first harmonic is sounded. Outline why the tube that is open at both ends produces a first harmonic with a wavelength shorter than the first harmonic of the tube that is closed at one end.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(longitudinal)</p>
<p class="p1">the standing wave is formed of (travelling) sound waves (which are longitudinal);</p>
<p class="p1"><em>Do not allow responses that focus only on travelling waves.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the frequency is \(f = \frac{1}{{1.25 \times {{10}^{ - 3}}}}{\text{ }}( = {\text{ }}800{\text{ Hz}})\);</p>
<p>and the wavelength is \(\lambda = \frac{v}{f} = \frac{{340}}{{800}}{\text{ }}( = 0.425{\text{ m}})\);</p>
<p>the fourth harmonic corresponds to 2 wavelengths in the tube, thus \(L = 2\lambda = 0.85{\text{ m}}\);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the length of the tube closed at one end corresponds to \(\frac{\lambda }{4}\), while the length for the tube open at both ends corresponds to \(\frac{\lambda }{2}\);</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a) was very badly answered, with few appreciating that the standing wave is made from 2 (or more) travelling sound waves.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b) was usually well attempted, with arithmetical errors or errors in the relationship between wavelength and pipe length giving any difficulty.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">There was a mixed set of responses to (c), from those who clearly understood to those who could not give a mathematical reason.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about interference of light.</p>
<p class="p1">Coherent monochromatic light is incident on two narrow slits \({{\text{S}}_{\text{1}}}\) and \({{\text{S}}_{\text{2}}}\) a distance \(d\) apart. A screen is placed a distance \(D\) from the slits. An interference pattern of bright fringes and dark fringes appears on the screen. The central maximum is at Q.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_15.39.42.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/21"></p>
</div>
<div class="specification">
<p class="p1">When red light of wavelength 660 nm is used the first fringe at P subtends an angle 0.0045 rad from midpoint of \({{\text{S}}_{\text{1}}}\) and \({{\text{S}}_{\text{2}}}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_15.42.54.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/21.c"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State <strong>one </strong>way to ensure that the light incident on the slits is coherent.</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">Light emerging from \({{\text{S}}_{\text{1}}}\) and \({{\text{S}}_{\text{2}}}\) reaches the screen. Explain why the screen appears dark at point P.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the change in angle when blue light of wavelength 440 nm is used.</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 class="p1">Using the diagram below, draw the approximate position of the first bright fringe using blue light. The position of the first dark fringe with red light is labelled P.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">single slit before the double slit / use a laser light / single source;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">destructive interference;</p>
<p class="p1">path lengths from slits differ by half a wavelength;</p>
<p class="p1">waves arrive antiphase / 180° out of phase / \(\pi \) out of phase;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\theta _{{\text{blue}}}} = \left( {\frac{{{\theta _{{\text{red}}}}{\lambda _{{\text{blue}}}}}}{{{\lambda _{{\text{red}}}}}} = \frac{{0.0045 \times 440{\text{ nm}}}}{{660{\text{ nm}}}} = } \right){\text{ }}0.0030{\text{ (rad)}}\);</p>
<p>\(\Delta {\theta _{{\text{blue}}}} = (0.0045 - 0.0030 = ){\text{ }}0.0015{\text{ (rad)}}\);</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">marking direction of shift on the diagram;</p>
<p class="p1"><em>Accept any point in the upper half of the dark fringe.</em></p>
<p class="p1"><em><img src="images/Schermafbeelding_2016-08-31_om_17.30.31.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/21.c.ii/M"></em></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">SL candidates could generally suggest a reasonable method to make sure the light was coherent, but rarely earned full marks in explaining why P was a dark fringe.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">SL candidates could generally suggest a reasonable method to make sure the light was coherent, but rarely earned full marks in explaining why P was a dark fringe.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">SL candidates could generally suggest a reasonable method to make sure the light was coherent, but rarely earned full marks in explaining why P was a dark fringe.</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">SL candidates could generally suggest a reasonable method to make sure the light was coherent, but rarely earned full marks in explaining why P was a dark fringe.</p>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about polarization.</p>
</div>
<div class="question">
<p>State what is meant by polarized light.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">light in which the electric vector oscillates on one plane/direction; </span></p>
</div>
</div>
</div>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';"> </span></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 32">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In part (a) the definition was often not specific enough, the idea that the electric field vector is oscillating rather than just light was often omitted. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the nature and properties of electromagnetic waves.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Electromagnetic waves propagating in a medium suffer dispersion. Describe what is meant by dispersion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A charge moves backwards and forwards along a wire, as shown in the diagram below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Outline, with reference to the motion of the charge, why electromagnetic radiation is produced by the moving charge.</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>waves of different wavelength/frequency;<br>travel at different velocities;<br>the index of refraction of the medium depends on the wavelength/frequency;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>during simple harmonic motion the charge oscillates/accelerates;<br>(oscillating/accelerating) charges radiate/produce (varying) electric/magnetic fields / produce electromagnetic waves;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 26">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Too many candidates showed that they do not know the terminology and vaguely described other phenomena instead of dispersion, quite often scattering. Breaking into component colours was sometimes mentioned by the candidates but this was not accepted as correct as the question was about electromagnetic waves, not only about light. A reasonable number of correct answers were seen with reference of both different speed and index of refraction. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 26">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">In (b) only the stronger HL candidates clearly connected accelerated charge with the production of electromagnetic radiation. Most SL answers simply repeated the production of electromagnetic waves, missing the importance of the acceleration of the electron and not relating it to electric and magnetic fields. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the nature of electromagnetic waves.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by an electromagnetic wave.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State<strong> two</strong> cases in which electrons may produce electromagnetic waves.</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>oscillating/vibrating electric and magnetic fields;<br>at right angles to each other;<br>at right angles to the direction of propagation/energy transfer of the wave/ velocity/transverse;<br>can travel through vacuum; <br><em>Award <strong>[2]</strong> for a clearly drawn, correctly labelled diagram i.e. E and B fields at </em><em>right angles to each other and at right angles to the direction of propagation.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electrons that oscillate/accelerate/move on curved paths;<br>electrons making transitions between energy levels; <br><em>Accept two specific instances of electrons being accelerated/decelerated e.g. electrons hitting metal target or electrons moving in magnetic fields.</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;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about diffraction and resolution.</p>
<p class="p1">Monochromatic light is incident normally on a single narrow slit and gives rise to a diffraction pattern on a screen.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_09.44.32.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/03"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Sketch, for the diffraction pattern produced, a graph showing the variation of the relative intensity of the light with the angle measured from the centre of the slit.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-08-31_om_09.48.03.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/03.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The single narrow slit is replaced by a double narrow slit. Explain, with reference to your answer to (a), how the Rayleigh criterion applies to the diffraction patterns produced by the light emerging from the two slits.</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">Two lamps emit light of wavelength 620 nm. The lights are observed through a circular aperture of diameter 1.5 mm from a distance of 850 m. Calculate the minimum distance between the lamps so that they are resolved.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">large central peak and at least one subsidiary maximum on each side;</p>
<p class="p1">minima have intensity of zero and intensity of secondary maxima at most 25 % of central maximum; } <span class="s1"><em>(judge by eye)</em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">explanation of resolving – seeing images as being from separate objects;</p>
<p class="p1">idea of diffraction patterns overlapping;</p>
<p class="p1">central maximum being at least as far from companion as the first minimum;</p>
<p class="p1"><em>Marking points may be seen on graph in (a).</em></p>
<p class="p1"><em>Marking points may be seen from diffraction pattern showing resultant intensity from two sources with a slight dip in the centre. </em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">equating \(1.22\frac{\lambda }{b}\) to \(\frac{x}{D}\);</p>
<p class="p1">0.43 (m);</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">The majority could correctly sketch the diffraction pattern and only a few showed non-zero intensity at the minima. The definition of Rayleigh’s criterion was well known but candidates found it difficult to gain full marks explaining how the Rayleigh criterion applies to diffraction patterns, as asked. The calculation was well-attempted.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The majority could correctly sketch the diffraction pattern and only a few showed non-zero intensity at the minima. The definition of Rayleigh’s criterion was well known but candidates found it difficult to gain full marks explaining how the Rayleigh criterion applies to diffraction patterns, as asked. The calculation was well-attempted.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The majority could correctly sketch the diffraction pattern and only a few showed non-zero intensity at the minima. The definition of Rayleigh’s criterion was well known but candidates found it difficult to gain full marks explaining how the Rayleigh criterion applies to diffraction patterns, as asked. The calculation was well-attempted.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about standing waves and the Doppler effect.</p>
<p>The horn of a train can be modeled as a pipe with one open end and one closed end. The speed of sound in air is 330ms<sup>–1</sup>.</p>
<p><img 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3n6j2+d2/ecd7UXt3AjQIAAAQIECBAgUGOBf1fj9S1PgAABAgQIECBAoENA8PSLQIAAAQIECBAgUBcBwbMuzHZCgAABAgQIECAgePodIECAAAECBAgQqIuA4FkXZjshQIAAAQIECBAQPP0OECBAgAABAgQI1EVA8KwLs50QIECAAAECBAgInn4HCBAgQIAAAQIE6iIgeNaF2U4IECBAgAABAgQET78DBAgQIECAAAECdREQPOvCbCcECBAgQIAAAQKCp98BAgQIECBAgACBuggInnVhthMCBAgQIECAAAHB0+8AAQIECBAgQIBAXQQEz7ow2wkBAgQIECBAgIDg6XeAAAECBAgQIECgLgKCZ12Y7YQAAQIECBAgQEDw9DtAgAABAgQIECBQFwHBsy7MdkIgHYG2bQ/FvLPGxqhjT4uZK56NlnRKUwkBAgQIZC4geGY+YO0RqBZojf/12B1x18bdxdM7Yt0NTdHcWr2FRwQIECBAoFYCgmetZK1LIEmBIfGB078YF4w9vKhuZEy4amqMG5JkoYoiQIAAgQwF3tVe3DLsS0sECBAgQIAAAQKJCTjimdhAlEOAAAECBAgQyFVA8Mx1svoiQIAAAQIECCQmIHgmNhDlECBAgAABAgRyFRA8c52svggQIECAAAECiQkInokNRDkECBAgQIAAgVwFBM9cJ6uvvATatsX6VTfHnOLE7yfNXh8dp97seO76mHnqCcXJ4BuLf2Nj8uwlsaZ551v0vjOa711SvVbPdwzo/kqL74nt674Xy2afHaM7ai3V2xijz7omlq1aH9vbehbgMQECBAjkKOB0SjlOVU+ZCLRFS/MDcc9Pfhy337o2Xi13NXTqqnh+7tC48eJZsazjRPA92x0Zk264I5acOyoaur3Utm193Nm0Om7rudbi8dF5Ks+B3V/Xrluejduuuipuj8/EVZfPiHPGDY8oBdsbF8RXb+nsa8jYL8Yt/+WaOL1xaNfb3CFAgACB/AQc8cxvpjrKRaB1Qyy88Mq4vltQ7Git7eexYvrXY/Mnb4i1W7fF1u3b4qX1y+NLE0eWO98Rj151acxb91o3iZfi9isWxIaXXo0+j4cO6P7Ku275aSy++JL41q5pcefyazpDZ+mlhsYY/+Vl8eCqC2NE8bB14x1x+RVL4tkWhz7Lcn4QIEAgSwFHPLMcq6byEvhNNC+aEufd+lK5rd6PaEbbprjt/Klx/XOly2FGDPnw3Hjw7pkxqvthz6heq+PoadcRz/LyPbYpXeGotyOob72/yr4iZv3whzF73HsqO9j7s+3ZWPypC2PZjtIfDxwZE254MFac+769r7tHgAABAlkJOOKZ1Tg1k6fA78UHjzum/HF4xNCp8+PmHh+jd/TdMDouuXZaERM7b63P3RP3bvxND5L3xIdOOTn6/0B7gPa385H4zm1FWB45ISaN7SV0liprODyGDask45Z44qGn+j4i26MTDwkQIEBg8AkcNvhKVjGBQ02gIY446qiOv9fs+FJRP+03jD09PjtyZfkI4svx5DM7Isad0M87entpIPbXFjsffySeKBW8Y2mcN2ppbzva57nWX2yOl4tP24dXsug+W3iCAAECBAazgOA5mKendgI9BRpOjEmfb4xlHR/L74nNm18pvgF/QtfR0p6bH/TjPvf3Zry85Zed374fOzfW/mhmHHvQO7MAAQIECAx2AR+1D/YJqp9AlcCQOGrYH1Y9U9sHfe3vt9Gy843OXb+0Jba91aHa2hZpdQIECBBIREDwTGQQyiAwMAJD4v2jGt/ibzgHZk+dq+zH/vYU37zv+PLQQO7XWgQIECAwGAUEz8E4NTUT6FOgLd7YtSs6T0o0NI4//v21+5i9o4b92d+meOSxreWa+iy8eOFXsWbRXbG9v028RoAAAQKDWkDwHNTjUzyBngL/Frtfb+n828r4YHz8o5XvuPfcbqAe97W/w2Psx8aUQ+/uaF65JO7ftqf/ne58Kn6y9d1xeP9beZUAAQIEBrGA4DmIh6d0AvsKvBbPPbW58+n+TmO07xsP8Jm+9tcQwz99ZpzWeUmkiFd/HHOvWBSP9Rk+X4v1i74bbX92ahTXNXIjQIAAgUwFBM9MB6utfAX2bNoSr/TVXnHU8OENLcWrx8T586fHuAE4LdEB72/4aXHRlGO6Ki1dnWjWGV+IOUvvi+auKxSVLtN5X3EN9xlx2YaT4qKJ7+3a3h0CBAgQyE9A8MxvpjrKXWDj6lhadTnMSsOlo4Z/F+tah8SIqfNizoSjKy90+9n9bzIj+g2VlXcd8P6OjvFz58X5IyqHPYsFWzfG3QuvjPNOPi5GHdtY/DsuPjLlyljc9C8x+borY/yRA5CUK3X7SYAAAQLJCQieyY1EQQT6Fxgy4s1YP2tGzGlqjtKxzY5bS3PcXTpq2PR6jLnoplh9/aTiApS93Fr+W6z87lPlvwEtXn/x4Wh6ts+rt3cscFD7O3JSLPiHm+KCsf395WbpkpwrY0GvQbmXHjxFgAABAoNWwLXaB+3oFH4oCbSuuyZOnt4Upa/nDJ26PB6/cHfcfsuNsWxtcWWijtvhMWbqzDj7zM/FxRMaO65yVH6h/KMl1s/+TMxoerX66cqjoVPjthcWxfjywcmD319l4crPndF875p49KE7u9U8MiZcNjMumjo1xjf2fxHPyip+EiBAgMDgFhA8B/f8VH+ICFQHwVXx/OLxNT1NUr33d4iMUZsECBA45AV81H7I/woAIECAAAECBAjUR0DwrI+zvRAgQIAAAQIEDnkBwfOQ/xUAQIAAAQIECBCoj4DgWR9neyFwEALVp0A6iIX286313t9+lmUzAgQIEBj0AoLnoB+hBvIX6H5Zyoi2nbvijZo2Xe/91bQZixMgQIBAQgKCZ0LDUAqB3gTatj0aKx7Y1PVS64bvxcq3OPdm18YHcKfe+zuAEr2FAAECBAapgNMpDdLBKfsQENi2IiaPvy5e6LPVEXH+qodj4YReTxXf57v6fKHe++uzEC8QIECAQK4Cgmeuk9UXAQIECBAgQCAxAR+1JzYQ5RAgQIAAAQIEchUQPHOdrL4IECBAgAABAokJCJ6JDUQ5BAgQIECAAIFcBQTPXCerLwIECBAgQIBAYgKCZ2IDUQ4BAgQIECBAIFcBwTPXyeqLAAECBAgQIJCYgOCZ2ECUQ4AAAQIECBDIVUDwzHWy+iJAgAABAgQIJCYgeCY2EOUQIECAAAECBHIVEDxznay+CBAgQIAAAQKJCQieiQ1EOQQIECBAgACBXAUEz1wnqy8CBAgQIECAQGICgmdiA1EOAQIECBAgQCBXAcEz18nqiwABAgQIECCQmIDgmdhAlEOAAAECBAgQyFVA8Mx1svoiQIAAAQIECCQmIHgmNhDlECBAgAABAgRyFTjsQBub/83rDvSt3keAAAECBAjUQOBr186twaqWJDBwAgccPEsl+AUfuEFYiQABAgQIECCQu4CP2nOfsP4IECBAgAABAokICJ6JDEIZBAgQIECAAIHcBQTP3CesPwIECBAgQIBAIgKCZyKDUAYBAgQIECBAIHcBwTP3CeuPAAECBAgQIJCIgOCZyCCUQYAAAQIECBDIXUDwzH3C+iNAgAABAgQIJCIgeCYyCGUQIECAAAECBHIXEDxzn7D+CBAgQIAAAQKJCAieiQxCGQQIECBAgACB3AUEz9wnrD8CBAgQIECAQCICgmcig1AGAQIECBAgQCB3AcEz9wnrjwABAgQIECCQiIDgmcgglEGAAAECBAgQyF1A8Mx9wvojQIAAAQIECCQiIHgmMghlECBAgAABAgRyFxA8c5+w/ggQIECAAAECiQgInokMQhkECBAgQIAAgdwFBM/cJ6w/AgQIECBAgEAiAoJnIoNQBgECBAgQIEAgdwHBM/cJ648AAQIECBAgkIiA4JnIIJRBgAABAgQIEMhdQPDMfcL6I0CAAAECBAgkIiB4JjIIZRAgQIAAAQIEchcQPHOfsP4IECBAgAABAokICJ6JDEIZBAgQIECAAIHcBQTP3CesPwIECBAgQIBAIgKCZyKDUAYBAgQIECBAIHcBwTP3CeuPAAECBAgQIJCIgOCZyCCUQYAAAQIECBDIXUDwzH3C+iNAgAABAgQIJCIgeCYyCGUQIECAAAECBHIXEDxzn7D+CBAgQIAAAQKJCAieiQxCGQQIECBAgACB3AUEz9wnrD8CBAgQIECAQCICgmcig1AGAQIECBAgQCB3AcEz9wnrjwABAgQIECCQiIDgmcgglEGAAAECBAgQyF1A8Mx9wvojQIAAAQIECCQiIHgmMghlECBAgAABAgRyFxA8c5+w/ggQIECAAAECiQgInokMQhkECBAgQIAAgdwFBM/cJ6w/AgQIECBAgEAiAoJnIoNQBgECBAgQIEAgdwHBM/cJ648AAQIECBAgkIiA4JnIIJRBgAABAgQIEMhdQPDMfcL6I0CAAAECBAgkIiB4JjIIZRAgQIAAAQIEchcQPHOfsP4IECBAgAABAokICJ6JDEIZBAgQIECAAIHcBQTP3CesPwIECBAgQIBAIgKCZyKDUAYBAgQIECBAIHcBwTP3CeuPAAECBAgQIJCIgOCZyCCUQYAAAQIECBDIXUDwzH3C+iNAgAABAgQIJCIgeCYyCGUQIECAAAECBHIXEDxzn7D+CBAgQIAAAQKJCAieiQxCGQQIECBAgACB3AUEz9wnrD8CBAgQIECAQCICgmcig1AGAQIECBAgQCB3AcEz9wnrjwABAgQIECCQiIDgmcgglEGAAAECBAgQyF1A8Mx9wvojQIAAAQIECCQiIHgmMghlECBAgAABAgRyFxA8c5+w/ggQIECAAAECiQgInokMQhkECBAgQIAAgdwFBM/cJ6w/AgQIECBAgEBfAi3NsWbpNTH5+BNj8oqX+tpqwJ4/bMBWshABAgQIECBAgMAgENgT29c1RdPqFbFs7Y5yvUNjTB0qd8SzDsh2QYAAAQIECBBIRmDb38dfzV0Xr78DBTni+Q6g2yUBAgQIECBA4B0TaJwZ9z01s9j9r+I/XPrZuHptS91KccSzbtR2RIAAAQIECBBISeA9cdTwoXUtSPCsK7edESBAgAABAgQOXQHB89Cdvc4JECBAgACBQ1rg96Px+A/UVUDwrCu3nREgQIAAAQIEDl0BwfPQnb3OCRAgQIAAAQJ1FRA868ptZwQIECBAYHAKtG1bH7d3nGi8MUYdW/l3WsxctCLWNO/su6m2bbF+1c0x56yxcdLs9dFa2rLjuetj5qknlNcaG5NnL+l/na49lM5B+b1YNvvsGN1VR2OMPuuaWLZqfWxv69qwx53S++6MxZeeFqPOWhHby6929LVoRnyistapM+Lb67ZFn8v0WLX/hwdSaw3q7DpJfGVuJ8QnLr0x1m/b03/5NXhV8KwBqiUJECBAgEA2AkVIfGzu2XHS+Cvi/v85Lv766S2xdfu22Pr8mlg4dVg8cet1cfWU8TF57kPdQl9btDTfF7eVAt2oCTFj/rfj7o27O0lafhqLp5xdPLc81r3aEUOL53fHC03fKtaZHP/x3q19h76WZ+O2S8+MaatfiaMvXBWbSnVsXRe3XT4xhm9sisXzp8eZU74Rj3UPVF2h68SYOP2vu50wvQh4j34jzj1jevzNrWvj1crAXl0bS6ZfHF/qr47Ktv39fLu11qTOzh4nn/KFuOHpYXFx0zOds9v6j/E3J/73+OoZF8aCf/rf/XUx4K8JngNOakECBAgQIJCLwGux/iuXxKzvvxjDp94Qdyy+IMYd2dDZ3JHj4vzFP4gH550aQ0rB8ft/FdMua+oMn60bYuGFV8b13QNd6V1tP48V078emz95Q6zdWoTGIji+tH55fGniyDLYjnj0qktj3rrXyo+7/SgF1osviW/tmhZ3Lr8mzhk3vPPFhsYY/+Vl8eCqC2NE8Uzrxjvi8iuWxLMtpWOWLbH+uqvjzqdfjtcqGbfjXXti271Xx1/e/GZMq4Sx7c9E02Xjil5Kt6KOG++JjQd62PNt17qzBnUW4X/d/Jg2847YNKYw2Mfslli9sDH+x3+tXLmoo/Ha/9d+gLdvzF9wgO/0NgIECBAgQCB9gd+1//qeme1/fMyx7X903Mz2e3/9u95L/t2L7SumjGn/o9J2x4xpP3f5i+17t/zX9ucWnlF+rfT6n7bPumdLt9fLS1atcWz7H09Z3r5l7yLFRpV1zmhf9Ny/9lHHM+2LPnF8eV8nt8+455Vu23XrpVzn2QufbN/VbYuOu7/rvkY/++r5vqrHB1PrwNX5uy3L2889rjS7C9pXbPl/VRV2Pajqd3T72ct/0fVSre444ln7bG8PBAgQIEBg8Am0rIu//dvHO/4mc8gnz4xPDS8f6ezZScPxMWVa6ahn6bY7mhd/O+7fWTlU+HvxweOOKb8WMXTq/Lj53FGxz0oNo+OSa6dF5bhn63P3xL0bf7N3Tzsfie/c9lLEyAkxaex79j7f/V7D4TFsWGXllnjioadi71+eNsTwD58Soyvbj/3PcdM1fxJHVh5XfjaMilM+Xj6SGm/E67t+W3ll/38eVK0DVedrsWHZ6mgujvIO+eT5MWVUHyeJr+p3/1s8mC1dMvNg9LyXAAECBAhkKdAWO9feHfeV/wazYfhRcUSffRZh6dNnxmlDHo11pY+zW5+Ohx//P3HOue8rHjTEEUcd1RE0qz7p7mWthrGnx2dHroxlO0pbvhxPPlN8BDzuhOJ+Ucvjj8QTpad3LI3zRi3t5d37PtX6i83xcpF/+8rL+76j5zMtsWnrP0dM2Cee9tyw2+N3otZe6tz5RHz/h78s6hoao0/9UFSidLdCy3ffHUcOL0226y9c991kgJ8RPAcY1HIECBAgQGDwC+yOjT97ofMb6EV4Of7493cdtey1t+Efio+dODTWbSx9S7olnvzZL6K1CJ6dR0F7fce+TzacGJM+3xjLbi2ObMae2Lz5lWL/JxRrvBkvb/llZy1j58baH82MY/d9dyLPpFBrt/BbzO7oYX/Qj82QOGrYH/bz+sC/5KP2gTe1IgECBAgQGOQC/xxbN7WUe2iLXa/v7vub5h1b/fsYNXrvkcE9m7bEK29boK8Q9Nto2flG52ovbYltb3Xo9G3vdyDfkEKt3cLvQLY2QGsJngMEaRkCBAgQIJCnQGv8ugh+//Y2mhty9PA4/G1s37npkHj/qMbiGF0/tz3FN+E7PorvZ5tUXnrHau0Wfosjx6+9/n9TEemoQ/BMahyKIUCAAAECKQj8QQw7em8EfHtHMIfEe084Zt8v7rxlW23xxq5d5SOrfX28vykeeayf83x27eNXsWbRXV0nie96uq53Uqh1f45W1xUlBM/6etsbAQIECBAYBALvjU/9+Sl7/0bzxafjua5vqr9V+Y3x2TNO3Peb62/1tuKY6u7XW8p/V/rB+PhHK99xPzzGfmxMuZbiW/Mrl8T93U8Q39u6O5+Kn2x99wEcde1tsbfzXAq1/n40Hv+BctGtseOBxw78fKRvp/X93Fbw3E8omxEgQIAAgUNHoPJN9XLH5W+q991/t78J7e+UR30vULzyWjz31ObOLarW6FHLqz+OuVcsqr46UdW6xUnvF3032v7s1H6+zV31hgF8kEKtQ+IDH/1I16mpYsdd8Z37fjWAPR7cUoLnwfl5NwECBAgQyFNg+J/HnNmV83O2xLob/z6aK6fn7Nnxzp/Hz14sfaP9mDi/uGzluMrpNHts1+9H9sVRyoc3lL7Q1Msaw0+Li6Yc07Va6epEs874QsxZel80d1yhqPRS52U6l82eEZdtOCkumvjeru3reieBWhvG/UVcMbHyZa9idnMuj8XP7j2raZdHy+OxdOXz5Yd7YtNTP+927tOurQb0juA5oJwWI0CAAAECuQgMjVHFtc2//OHy14R2rI5vfOunxcmSet5KRxj/rjiH5+Ex5rLrY86Eo3tusPfxxtWxtLfLYRZHOzvXGBIjps7rZY2jY/zceXH+iG4naGrdGHcvvDLOO/m4GHVsY/HvuPjIlCtjcdO/xOTrrozxlUt7lvfe1vJ67KpUUtNvxx9crQNT5/vi7K9+JSZVvFqbY9kF02POivWdlzTtCOl3xZzpd0Z8onSu1M5b69qvx6Wzr42Zf/qfYs1+/2lF5d3791Pw3D8nWxEgQIAAgUNPoLii0IxVt8dXOq6lXlyP/dZZ8cXZd+09ytjSHHeXjjA2tcWEebfHHb1dDaib2pARb8b6WTNiTlPz3gDbtcbrMeaim2L19ZN6/2LSkZNiwT/cFBeM7e/78iNj0g0rY0HP8Nu2Ne6/9cfFFdjLtz1Pxg9+tO+XlNq2/SR+sKFyZLA4AvjAA+VrvlfeuJ8/D7TWAayzofHcWHjr1TGhK3wWQX3B9JhYnDmgM6QviZZp82Lm6J5XghoRn7n5m3HOgZ95v1+kd5WuxdnvFn28OP+b18XXrp3bx6ueJkCAAAECBPIR2BPb190T//jI3XFj08byF4CK7kZMjFmXfjpOOf28GN+491vw3ftuXXdNnDy9qTixT+mSmcvj8Qt3x+233BjL1lZiYHGkdOrMOPvMz8XFExr340tJO6P53jXx6EN3dltjZEy4bGZcNHVqjzpaY/uKaTFxwdPdS+p2/5T4yvrVMWPkP8WcMdPj7lKRvd0O+MT1+1trDessgv2au+6KO29oihc6zoFaHFWeeGlcdfmMOGfcEZ0+K48o5vi5mHT+52NcjyPFvXEczHOC58HoeS8BAgQIECDQr0B18FwVzy8ev/fb8v2+04s5CvioPcep6okAAQIECBAgkKCA4JngUJREgAABAgQIEMhRQPDMcap6IkCAAAECBAgkKCB4JjgUJREgQIAAgTwEul8GM4+OdHFwAoLnwfl5NwECBAgQINCnQPfLYBaneN+5K97oc1svHAoCguehMGU9EiBAgACBd0CgbdujseKBTV17bt3wvVjZ2xV0urZwJ3cBwTP3CeuPAAECBAjUW2DbiphcXE3ohPFfirs27t6799IVdM79aHEC8z+JOev2vQbS3g3dy1XgsFwb0xcBAgQIECDwDgk0zoz7ts98h3ZutykLOOKZ8nTURoAAAQIECBDISEDwzGiYWiFAgAABAgQIpCwgeKY8HbURIECAAAECBDISEDwzGqZWCBAgQIAAAQIpCwieKU9HbQQIECBAgACBjAQEz4yGqRUCBAgQIECAQMoCgmfK01EbAQIECBAgQCAjAcEzo2FqhQABAgQIECCQsoDgmfJ01EaAAAECBAgQyEhA8MxomFohQIAAAQIECKQsIHimPB21ESBAgAABAgQyEhA8MxqmVggQIECAAAECKQsInilPR20ECBAgQIAAgYwEBM+MhqkVAgQIECBAgEDKAoJnytNRGwECBAgQIEAgIwHBM6NhaoUAAQIECBAgkLKA4JnydNRGgAABAgQIEMhIQPDMaJhaIUCAAAECBAikLCB4pjwdtREgQIAAAQIEMhIQPDMaplYIECBAgAABAikLCJ4pT0dtBAgQIECAAIGMBATPjIapFQIECBAgQIBAygKCZ8rTURsBAgQIECBAICMBwTOjYWqFAAECBAgQIJCygOCZ8nTURoAAAQIECBDISEDwzGiYWiFAgAABAgQIpCwgeKY8HbURIECAAAECBDISEDwzGqZWCBAgQIAAAQIpCwieKU9HbQQIECBAgACBjAQEz4yGqRUCBAgQIECAQMoCgmfK01EbAQIECBAgQCAjAcEzo2FqhQABAgQIECCQsoDgmfJ01EaAAAECBAgQyEhA8MxomFohQIAAAQIECKQsIHimPB21ESBAgAABAgQyEhA8MxqmVggQIECAAAECKQsInilPR20ECBAgQIAAgYwEBM+MhqkVAgQIECBAgEDKAoJnytNRGwECBAgQIEAgIwHBM6NhaoUAAQIECBAgkLKA4JnydNRGgAABAgQIEMhIQPDMaJhaIUCAAAECBAikLCB4pjwdtREgQIAAAQIEMhIQPDMaplYIECBAgAABAikLCJ4pT0dtBAgQIECAAIGMBATPjIapFQIECBAgQIBAygKCZ8rTURsBAgQIECBAICMBwTOjYWqFAAECBAgQIJCygOCZ8nTURoAAAQIECBDISEDwzGiYWiFAgAABAgQIpCwgeKY8HbURIECAAAECBDISEDwzGqZWCBAgQIAAAQIpCwieKU9HbQQIECBAgACBjAQEz4yGqRUCBAgQIECAQMoCgmfK01EbAQIECBAgQCAjAcEzo2FqhQABAgQIECCQsoDgmfJ01EaAAAECBAgQyEhA8MxomFohQIAAAQIECKQsIHimPB21ESBAgAABAgQyEhA8MxqmVggQIECAAAECKQsInilPR20ECBAgQIAAgYwEBM+MhqkVAgQIECBAgEDKAoJnytNRGwECBAgQIEAgIwHBM6NhaoUAAQIECBAgkLKA4JnydNRGgAABAgQIEMhIQPDMaJhaIUCAAAECBAikLCB4pjwdtREgQIAAAQIEMhIQPDMaplYIECBAgAABAikLCJ4pT0dtBAgQIECAAIGMBATPjIapFQIECBAgQIBAygKCZ8rTURsBAgQIECBAICOBww6ml/nfvO5g3u69BAgQIECAwAAKfO3auQO4mqUIDLzAu9qL28Ava0UCBAgQIECAAAEC1QI+aq/28IgAAQIECBAgQKBGAoJnjWAtS4AAAQIECBAgUC0geFZ7eESAAAECBAgQIFAjAcGzRrCWJUCAAAECBAgQqBYQPKs9PCJAgAABAgQIEKiRgOBZI1jLEiBAgAABAgQIVAsIntUeHhEgQIAAAQIECNRIQPCsEaxlCRAgQIAAAQIEqgUEz2oPjwgQIECAAAECBGokIHjWCNayBAgQIECAAAEC1QKCZ7WHRwQIECBAgAABAjUSEDxrBGtZAgQIECBAgACBagHBs9rDIwIECBAgQIAAgRoJCJ41grUsAQIECBAgQIBAtYDgWe3hEQECBAgQIECAQI0EBM8awVqWAAECBAgQIECgWkDwrPbwiAABAgQIECBAoEYCgmeNYC1LgAABAgQIECBQLSB4Vnt4RIAAAQIECBAgUCMBwbNGsJYlQIAAAQIECBCoFhA8qz08IkCAAAECBAgQqJGA4FkjWMsSIECAAAECBAhUCwie1R4eESBAgAABAgQI1Ejg/wN+BOTV27tqPgAAAABJRU5ErkJggg==" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On leaving the station, the train blows its horn. Both the first harmonic and the next highest harmonic are produced by the horn. The difference in frequency between the harmonics emitted by the horn is measured as 820 Hz.</p>
<p>(i) Deduce that the length of the horn is about 0.20 m.</p>
<p>(ii) Show that the frequency of the first harmonic is about 410 Hz.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Describe what is meant by the Doppler effect.</p>
<p>(ii) The train approaches a stationary observer at a constant velocity of 50ms<sup>–1</sup> and sounds its horn at the same frequency as in (a)(ii). Calculate the frequency of the sound as measured by the observer.</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>(i) \({f_1} = \frac{v}{{4L}}\), \({f_2} = 3{f_1} = \frac{{3v}}{{4L}}\);<br>\({f_2} - {f_1} = \frac{v}{{2L}} = 820\left( {{\rm{Hz}}} \right)\);<br>\(L = \frac{{330}}{{2 \times 820}}\);<br>(<em>L</em>=0.20m)</p>
<p>(ii) \(\lambda = 4L = 0.80\left( {\rm{m}} \right)\);<br>\(f = \left( {\frac{{330}}{{0.8}}} \right) = 413 {\rm{Hz}}\);</p>
<p><em>This is a question testing units for this option. Do not award second marking point for an incorrect or missing unit.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) a change in the observed frequency/wavelength of a wave;<br>when there is relative motion of observer and source;</p>
<p>(ii) \(f'\left( { = f\frac{v}{{v - {u_s}}}} \right) = 410 \times \frac{{330}}{{330 - 50}}\);<br>\(f' = 480\left( {{\rm{Hz}}} \right)\);<br><em>Allow ECF from (a)(ii).</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 sound waves.</p>
<p class="p1">A whistle on a steam train consists of a pipe that is open at one end and closed at the other. The sounding length of the whistle is 0.27 m and the steam pressure in the whistle is so great that the third harmonic of the pipe is sounding. The speed of sound in air is \({\text{340 m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that there must be a node at a distance of 0.18 m from the closed end of the pipe.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the frequency of the whistle sound.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The train is moving directly away from a stationary observer at a speed of \({\text{22 m}}\,{{\text{s}}^{ - 1}}\) while the whistle is sounding. Calculate the frequency heard by the observer.</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">third harmonic means 1.5 loops; <em>(accept in form of a diagram)</em></p>
<p class="p1">\(\frac{2}{3} \times 0.27{\text{ }}( = 0.18)\);</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>length is \(\frac{3}{4}\) of a wavelength so \(\lambda = 0.36{\text{ m}}\);</p>
<p>\(f = 940{\text{ (Hz)}}\);</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(f' = 940\left( {\frac{{340}}{{340 + 22}}} \right)\); <em>(allow ECF from (a)(ii))</em></p>
<p class="p1">880 (Hz);</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">Many candidates drew the 5<sup><span class="s1">th </span></sup>harmonic, not realising that the harmonic number is related to the multiple of the frequency which is only odd in “closed” pipes. This was not penalised in ECF.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates drew the 5<sup><span class="s1">th </span></sup>harmonic, not realising that the harmonic number is related to the multiple of the frequency which is only odd in “closed” pipes. This was not penalised in ECF.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates drew the 5<sup><span class="s1">th </span></sup>harmonic, not realising that the harmonic number is related to the multiple of the frequency which is only odd in “closed” pipes. This was not penalised in ECF.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about properties of electromagnetic waves.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> properties that are common to all electromagnetic waves.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A single lens is used to form a magnified real image of an object. Explain, with reference to the dispersion of light, why the image has coloured edges.</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>transverse;<br>can be polarized;<br>all have same speed in a vacuum;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>each colour/wavelength has different refractive index;<br>different focal lengths/amount of diffraction for each wavelength/colour;<br>so all coloured images do not overlap completely/not at same place;</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 resolution and polarization.</p>
</div>
<div class="specification">
<p class="p1">A ship sails towards two stone towers built on land.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.38.34.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/03.b"></p>
<p class="p1">Emlyn, who is on the ship, views the towers. The pupils of Emlyn’s eyes are each of diameter 2.0 mm. The average wavelength of the sunlight is 550 nm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the Rayleigh criterion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the angular separation of the two towers when the images of the towers are just resolved by Emlyn.</p>
<p class="p1">(ii) Emlyn can just resolve the images of the two towers when his distance from the towers is 11 km. Determine the distance between the two towers.</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">Emlyn puts on a pair of polarizing sunglasses. Explain how these sunglasses reduce the intensity of the light, reflected from the sea, that enters Emlyn’s eyes.</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 class="p1">for the images (of two sources) just to be resolved/distinguished/seen as separate;</p>
<p class="p1">central maximum of one diffraction pattern must coincide with first minimum of second / <em>OWTTE</em>;</p>
<p class="p1"><em>Accept a suitably drawn diagram for the second marking point.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\theta = \left( {\frac{{{\text{1.22}} \times {\text{550}} \times {\text{1}}{{\text{0}}^{ - 9}}}}{{{\text{2.0}} \times {\text{1}}{{\text{0}}^{ - 3}}}} = } \right){\text{ }}3.4 \times {10^{ - 4}}{\text{ (rad)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)0.019°;</p>
<p>(ii) \(d = 11 \times {10^3} \times 3.4 \times {10^{ - 4}}\);</p>
<p>\( = {\text{3.7 (m)}}\);</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">reflected light is (partially) polarized parallel to sea surface/horizontally polarized;</p>
<p class="p1">sunglasses have a transmission axis at 90° to reflected light/vertical transmission axis;</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">An improvement in the answers to (a) was noted.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (b) very few omitted to use the factor of 1.22 and full marks were often scored for both calculations.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(d) was poorly answered with many being unable to make it clear that reflected light from the sea would be partially horizontally polarized. Some just referred to the darkness of the sunglasses' lens.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about standing waves in a vibrating string.</p>
<p>A guitar string vibrates at 330 Hz in its fundamental mode.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the formation of standing waves in a string fixed at both ends.</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 length of the string is 0.64 m. Calculate the velocity of the wave in the string.</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>wave travels down string and is reflected / <em>OWTTE;</em></p>
<p>incident and reflected waves interfere/add/superpose to give a standing wave;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>λ </em>= 2L = 1.28 (m);</p>
<p><em>v </em>= <em>λƒ </em>= 420 (ms<sup>-1</sup>);</p>
<p><em> Award <strong>[2]</strong> for bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> (a) and (b) were well done in general, though many forgot to multiply the length by 2 to obtain the wavelength in (b). </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(a) and (b) were well done in general, though many forgot to multiply the length by 2 to obtain the wavelength in (b). </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about dispersion.</p>
</div>
<div class="question">
<p>State an approximate value for the wavelength of visible light.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>any value within the range 320 − 780 nm;</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 the electromagnetic spectrum.</p>
</div>
<div class="question">
<p>Outline the nature of electromagnetic waves.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>a varying magnetic and electric field at right angles to each other;<br>vibration of <em>E</em> and <em>B</em> fields at right angles to the direction of propagation of the wave;<br>transverse wave;<br>same speed in a vacuum;</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 standing (stationary) waves.</p>
<p>The diagram represents a standing wave of wavelength <em>λ</em> set up on a string of length <em>L</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The string is fixed at both ends.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For this standing wave</p>
<p>(i) state the relationship between <em>λ</em> and <em>L</em>.</p>
<p>(ii) label, on the diagram, <strong>two</strong> antinodes where the string is vibrating in phase. Label the antinodes with the letter A.</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 standing wave has wavelength <em>λ</em> and frequency <em>f</em>. State and explain, with respect to a standing wave, what is represented by the product <em>f λ</em>.</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>(i) <em>L</em>=4λ or \(\lambda = \frac{L}{4}\);</p>
<p>(ii) two antinodes labelled;<br>with separation of integral number of wavelengths;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>f λ</em> is the speed of the wave;<br>standing wave formed by interference of an incident and a reflected progressive wave;<br>speed is the speed of this progressive wave;</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 standing (stationary) waves.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> way in which a standing wave differs from a travelling (progressive) wave.</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 loudspeaker connected to a signal generator is placed in front of the open end of a tube.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The frequency of the sound is slowly increased from zero. At a frequency of 92.0 Hz the first large increase in the intensity of the sound is heard.</p>
<p style="text-align: left;">(i) On the diagram above, draw a representation of the wave in the tube for the frequency of 92.0 Hz.</p>
<p style="text-align: left;">(ii) The length of the tube is 0.910 m. Determine the speed of sound in the tube.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<p>The frequency of sound is continuously increased above 92.0Hz.</p>
<p>Calculate the frequency at which the next large increase in the intensity of the sound is heard.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>standing waves do not transfer energy;<br>standing waves do not have a constant amplitude;<br>points on a standing wave between consecutive nodes have a constant phase;<br>standing waves have permanent nodes/antinodes;</p>
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<div class="question_part_label">a.</div>
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<p>(i) correct diagram as shown;<em> (dotted line not essential for the mark)</em></p>
<p><em><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdMAAAB3CAYAAABYBKrhAAAQS0lEQVR4Ae2dzY4VxxmGGytSoiwN23NYxb4H5kTAOlEUrwLDKr4HBDtgZ8vXYSBXMYxyhkS5AWO8os8WfAsTvT1846Lo7qn+r6p+Sjrqv/p9qmfe81V9Vefa+fn5eUGAAAQgAAEIQKA3gd+FpiwPh6IsD6HRiQcBCKycwO7o1soJ0Pw1EbgWYpnuz14X+/3ZmrjQVghAYAQCu91RgaiOAJIsoifwRUgNEdIQSsSBAAR8Avzv8IlwnSuBIDHNtfG0CwIQmJaALFMCBNZAIHjO1IXB0I1Lg3MIpEPg9PS0ePXq1SwV/ue33xbbzWaWsigEAksT6CWmS1ea8iGQI4Fr165l1awnT55k1R4aA4E2AohpGx2erZpAHyvu6dOnvZnduXOn0GfqgMhNTZj810gAMV1jr2fc5mfPnl3ZOg1zhg51dhVHxUesruwCIkAgOwKIaXZdmn6D2izCECG8SgBl/Z2cnKQPihZAAALREEBMo+mKPCvSJoxtotf0DCHM8z2hVRBInQBimnoPRlT/rg40DIlG1HlUBQIQGEQAMR2Ebx2J/XnIpqHWJgca5hDX8Z7QSgismQBiuubeL4oiVCjdYVeGWlf+0tB8CEDgMwKI6WdI8rnhz1fWWZS+NYlQ5tP/tAQCEJiPAGI6H+tJSrpKMLEoJ8FOphCAAAQ+IYCYfoIj/gsNy7oCWVdjfqK2jgr3IAABCExHADGdju2gnF2L0x+e9cUUB59BqEkMAQhAYDABxHQwwmEZuKLpi6RdM485jDGpIQABCExNADGdmvDH/ENEU+KJlTlTh1AMBCAAgREJIKYjwrSsTDibhmcRTSPFEQIQgEAeBBDTkfqxyTEIZ6CRAJMNBCAAgYgJIKY9O8c2O3CtT5vjVJYM1/YESzIIQAACCRJATAM6rW7Y1jY7wDkoACBRIAABCGROADGt6WATT9fS1DnCWQOLWxCAAAQgUCCmzv60/pCtrm/fvs1rAgEIQAACEGglsGoxrXMawmGo9X3hIQQgAAEI1BBYlZi2Dd9igda8HdyCAAQgAIEgAl8ExUo4kqxPffTD1ZrzVND8pyxQfeR1i5Am3MFUPTkC5eGQXJ2pMASuIpClZSrxZP7zqq7nOQSWIfD8+ctis90UD+7fC66ABLgs4xfh3dGt4DYRMS8CWVimGr6VgN69e7eyQCWkskKxPvN6WWlNXgS++/6HYn/2OqhREtL9/qwozs+j/VT1C2oNkXIkkLxlquFbN+BA5NLgHAJxEpBVKiE1AQq16Ha7ozgbVBTBXwyibQAVG0QgScvUnwd150AH0SAxBCAwGwEJqMRRgvrji5ezlUtBEJiCQDJiakO5skRtMwUN556cnLB13xRvBnlCYAYCEtTHjx5WJUlQcU6aATpFTEIgejG1uVDzxJWA4oU7ybtAphBYjICGfW9ut4Wck0LnURerLAVDoIZAlGIqK7TOmYhlLDU9yC0IZEJAVurx8b3iXVkWck7CSs2kY1fSjOgckGSJ2jAuzkQreQtpJgQ+EthuLpbMSExlpWpONdQ5CYgQWJJANJapDedKSM2haEkwlA0BCCxHQPOo5pyEhbpcP1ByOIFFLVMN50o4NQ+qoHM5FBEgAAEIyCLdbjeVhQoNCMROYBHL1KxQORX5myvEDoz6QQAC8xHQsK+sVO2YRIBAzARmFVNzLJIFaiIqpyICBCAAgTYC8vQlQCBmArOJqbxzXUsUEY35taBuEIAABCDQhcAsc6a25R/euV26hrgQgAAEIJAKgUnF1Ja5yCLV0C4BAhCAAASaCWhJEGEeAmMvu5pETE1EhUSeuvxe6DwvB6VAAALpE7DtFdNvSbwtsB9YGLOGo4qpLXVRBRHRMbuJvCAAAQhAIGYCozkgyRo1ByOtFcUajbnbqRsEIAABCIxJYBTL1ByMNC+Kl+6Y3UNeEIAABCCQAoHBYuoueUFIU+hy6ggBCEAAAmMT6C2m7vwoWwCO3S3kBwEIQAACKRHoNWf66uTVJ/OjKTWYukIAAhCAAATGJtBPTE8vxJRh3bG7g/wgAAEIQCBFAr3EVI5GWvoiD14CBCAAAQhAYO0EeompoElMJapyQCJAAAIQgAAE1kygt5hqHan22tXaUgIEIAABCEBgzQR6i6lBc+dNGfY1KhwhAAEIQGBNBAaLqQtLQ7/awEHLZggQgAAEIACBtRAYVUy13lTzqAz9ruX1oZ0QgAAEICACvTdtaMLnDvs2xeE+BCAAAQhAICcCo1qmBsYVVM2j4vFrZDhCAAIQgECOBCYRUxeUCavmUnFQcslwDgEIQAACuRCYXEwFSnOpck4iQAACEIAABHIkMIuYCpzWpZqVqmus1BxfJ9oEAQhAYJ0EZhNTH68to0FUfTJcQwACPoF3Zenf4hoCURFYTExt6FeiiqBG9U5QGQhEQ6A8HIofX7wsDuUhmjpREQjUEVhMTFUZDf1KVN3hXxyV6rqJexBYH4H92evi+fOXxc3tttjtjtYHgBYnRWD0daZDWy9LVRs/2McV2qF5kx4CEIifgKxRiehmuymOj+8V282mkLCmEFKpZwosU6tjdGJq1qqGfiWoiGlqrxT1hUB/AhKj/f6syuDB/Xv9M1oopdV9oeIpdkEC0YmpsZCIukKq4V/bqlCCS4AABPIiIItUYqQh3d3RrSQb9/jRw0H1/u77HwalJ/FyBKIVUx+Jhn/1sX1/9fNvBAhAIA8C5mRkw7p5tIpWrInAog5IXUDbOlWJqCuk2qoQb+AuJIkLgXgIaFjXrDFZdZofJUAgRQLJiGkTXFmqslg1DKwPAQIQiJ+ALXnRsK6s0RTnR+OnTA3nJJC8mGpeVctrfIsVYZ3zNaIsCHQjIG9drR3FGu3GjdjxEkheTJvQylnJrFWGgZsocR8CyxDQspehzjrL1JxSIVBPIBkHpPrqN991vYFdMbVz11O4OReeQAACYxNI2Vt3bBZj5ucvy8lxowu/jdvtpthut2Ni7J1XtmLqEqkTThsG1nwrS21cWpxDYFoCqS57mZZKv9w1XK75ZzluSVgslOXh0rHr+P4/ohEcq1+XY1mWxfMX//qsjcpD9xX0Ti395WEVYup2nAmrHd1nElgNDyvUPXfjcg4BCEBgKQKuwLQNl7vx5OiVWrD6N30hkIBaHHmGN8Wbo92rE9M2qHJiMotV8RDUNlo8gwAEliIgyzPEGtMQqMRWy49sQ4yl6tynXFmeamfbUK61Ue1T/LYvF33qEJoGMfVI2RrW09PTyycSWC3B0QeBvcTCCQQg4BGwNbPe7VEvZYnJCusiGrLYKmFK6AcDxFLD16HDtxdW6qGyVNvEd9TOcDJDTB0Y7qk7jyqBNcclHU1Q7Z5du+k5hwAE1kegi8DV0QkR4/3+YjizLn3TPYmLLDzlP7SOTWWMeV9zwQpdh6Z3u1uLWafZLo0Zs2OVlwTTPpa3bW0oy9UdHnatWovLEQIQgMAYBCqHox4erGbh+R6xY9Rp7DzUxj6iry8NsmZlvc8dENMBxJu2OFSWJrA6mgU7oCiSQgACEKgsS1mYhGYC8mrWnPLcATGdgLhE1nZk0tEsWBVlIsuewhOAJ0sIQKCVgIR4CaFprZT3UFZlins0I6ZeR05x6c+/msDaMhyVKesVK3YK+uQJAQgYATkuuetR7X5MRw3Vapg3tYCYLtRjmn+VqFqQ9SpxtU373aFhnbvXloYjBCCwLgIpWJbr6pHfWouY/sZi0TObf7VN+30PYRNZWa8W5OiE0BoNjhDIn0C1/KOn1WZOObFbptaLfR2lZH2bs5XlNccRMZ2D8sAyJKwmsq4162brDxGbyNrRjcs5BCCQLgFZp7Z0pEsrtKRGaZdYg9mlnoqrdbESRfsCEJpeArzUfCtiGtpLEcYza9aGjH1r1q2yLdeRuJrzk87tvhuXcwhAIF4CZnV1ERoTX0sbb+suambrYm3v3ZD6iocEuOva1JC8Q+KwaUMIpQTjNAmr3TfnJx0lyhJWu2fNbbKC7TlHCEBgGQIaqrWt9q4SSFlrfddtLtO6i1KtXaEbTRiPpeqMmC5FfsFyJagmqlYN/9ru62jztHKSso95KEuE29K6+XAOAQiMQ8CERpaYgl27uVciWh4qIdWwaYpBXxq25aYa1q6zOCtrdP/68pdz6jjM1W7EdC7SCZTTJIpmoWpIWI5QfjCx1f2muBJhE2A/PdcQgEB3AhIOiY3Wjbo/xeYuK9EcaZ0IdS9tmRQa7j0+3lab9FsbVZNql6OPjlixtBExXeYdSbJUiaEviBLgJhF2G+n+bqwrvopjz3yxRoBdgpxD4HMCEhvXoUiWmnv9eYo07/gWZ4ztREzTfLeir3Wd8FqlzXq165CjnKZcq9jy8AVYeZm4u8/sXkhZxIFAqgRyFNK6voixnYhpXU9xbxECbQKspUF1QWlkwbrBhNO9L+cqffQMZyuXFucQgMAYBBDTMSiSx6IEzEr1K+Hel4CauOroey5bWn8I2gRYz91nysME3rWALR8TdJXrBrvv3uMcAhBInwBimn4f0oIAAq6ItVnArgD72bY9c+OaaLv37FzCq/J967hJtJXOLdcVdPeZDYPblwTVQeV0EXpLo3ybvgT4+blcm9JY2zlCIGcCiGnOvUvbZiHQJs6u2LiV0f2mZ654uml03vTMrGRf0FQ3d67Zz49rCEBgHAK9xFTrl/QhQAACcRH4/R/+WFXoP//9X6GPgt2zmmoRfN39kDR+OsvLv69rPdOyjKW2d1MdCBCYiwDbCc5FmnIgsEICto3dCptOk1dGIEhMN9vNyrDQXAhAYAwC/O8YgyJ5pEAgaJj3z7uj4t/7s+JQpveDrSl0AnWEQI4EJKT630HoRsAdOu+WkthdCPgbQXRJWxf32rnj0fDhw6/F+w8f6uJxDwIQgMBiBH766U3x5s2bxcoPLfibb/4eGpV4GRD4+qs/XbaiEtOf3/5S3fj57dvLB5xAAAIQgAAEINBO4G9//UsVIWjOtD0rnkIAAhCAAATWScCM0WrOFIt0nS8BrYYABCAAgWEE3r//UGi4t7JMr395vdCHAAEIQAACEIBAOIEbNy60s7JM7eLDrzgfhSMkJgQgAAEIrJ3AjeuOmLoeSTJZEdW1vx60HwIQgAAE2gh8/dVXhYT0+vUvq2ifLI1pSxjybH/2utpm8PGjhyHRiQMBCCRKQGsh+TtPtPOo9iQEgjZtuKpkE9Gr4vEcAhDIh4AEVQvft9sN++/m0620pCeBQWKKiPakTjIIZELAfvDCdjtiU/tMOpZmdCbQS0wR0c6cSQCBrAloq1Hb1B5rNeuupnENBILFtDwcgvfnldgSIACBdRLAWl1nv6+91cEOSGy+vPZXhfZDoB8BHJX6cSNVWgSCxVTNCh3e5Y8nrZeA2kKgK4GrvlxrDvXmdlvsjm51zZr4EEiSQPAwr1qnPwx9ugz5JkmFSkMAAr0IaL4UAe2FjkSJE+gkptZWeew9uH8PUTUgHCGwcgKI6MpfAJpf9BJT4+aKalkeindlyQ+IGxyOEMicAEO5mXcwzetEoNOcaUjOmldlmCeEFHEgkC4B/s7T7TtqPg2B/wMidzcD8OM/NQAAAABJRU5ErkJggg==" alt></em></p>
<p> </p>
<p>(ii) wavelength of sound is (4×0.910)=3.64m;<br>speed of sound 3.64×92=335ms<sup>-1</sup>;</p>
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<div class="question_part_label">b.</div>
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<p>the next harmonic has wavelength \(\frac{{4 \times 0.910}}{3} = \frac{{3.64}}{3}{\rm{m}}\);<br>and so frequency 3×92=276Hz ;</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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<div class="question_part_label">a.</div>
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<div class="question_part_label">b.</div>
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<div class="question_part_label">c.</div>
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<p>This question is about standing (stationary) waves.</p>
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<p>Describe <strong>two</strong> ways that standing waves are different from travelling waves.</p>
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<p>An experiment is carried out to measure the speed of sound in air, using the apparatus shown below.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">A tube that is open at both ends is placed vertically in a tank of water, until the top of the tube is just at the surface of the water. A tuning fork of frequency 440 Hz is sounded above the tube. The tube is slowly raised out of the water until the loudness of the sound reaches a maximum for the first time, due to the formation of a standing wave.</p>
<p style="text-align: left;">(i) Explain the formation of a standing wave in the tube.</p>
<p style="text-align: left;">(ii) State the position in the tube that is always a node.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The tube is raised until the loudness of the sound reaches a maximum for a second time. Between the two positions of maximum loudness, the tube has been raised by 36.8 cm. The frequency of the sound is 440 Hz. Estimate the speed of sound in air.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>energy is propagated by travelling waves / energy is not propagated by standing waves;<br>amplitude constant for travelling waves / amplitude varies with position for standing waves;<br>phase varies with position for travelling waves / phase constant for standing waves;<br>travelling waves do not have nodes and antinodes / standing waves do have nodes and antinodes;<br>travelling waves can have any wavelength/frequency / standing waves can only have certain wavelengths/frequencies (to fit boundary conditions);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) wave from tuning fork travels down tube and is reflected;<br>incident and reflected waves interfere/superpose/combine/add together to give a standing wave (that fits the boundary conditions);</p>
<p>(ii) the surface of the water (in/at the bottom of the tube);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{\lambda }{2} = 0.368 \Rightarrow \lambda = 0.736{\rm{m}}\);<br><em>v</em>=<em>ƒλ</em>=440×0.736=320ms<sup>−1</sup>;</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 standing (stationary) waves in a tube.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A thin tube is immersed in a container of water. A length L of the tube extends above the surface of water.<br><img 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lf8ufIVvggQIECAAAECFYG/oECAAAECBAgQqAoIBlUJ3wkQIECAAAF7DLwHCBAgQIAAgU4Beww6LTwiQIAAAQLZCwgG2b8FABAgQIAAgU4BwaDTwiMCBAgQIJC9gGCQ/VsAAAECBAgQ6BQQDDotPCJAgAABAtkLCAbZvwUAECBAgACBTgHBoNPCIwIECBAgkL2AYJD9WwAAAQIECBDoFBAMOi08IkCAAAEC2QsIBtm/BQAQIECAAIFOAcGg08IjAgQIECCQvYBgkP1bAAABAgQIEOgUqG8weGFNrFnfubHmeLQmFp+xV4wZNbryZ6+YvmhNcyy7P6tcszRu+8q0mDS2qLX6Z+d41xn3RmOrXhdPz5ucRw/60zevIUCAQB0F6hQMVsfShTNi0rsuiKX/XcfVm7r/AmvujenvOzJOv3BhPLau6zTrYvXqF6Pp8lzXEjwmQIAAgX4LvLLfr+zphWsejNnHTo25y16M2GpyT6M831CBl2Pp3Evi5lUbJYL2FQ2N1++8Ywxr6PpsnAABAgQaJVD7YPD84/GTIhQ07dewmDD7wVgxu2kL6H3h6/857v3WyvZxQ2Pk/qfHl+YcH+OHDen9tUYQIECAQEsL1OlQQkubNX9x//1CPPfv1b0Fo+PgU44RCpq/qyogQIBATQQEg5owNvMkr4tthw1t5gKsnQABAgRqKCAY1BDTVAQIECBAoNkFahYM1i2aFm8tPvI2YVY8VlVZuzBOqH4Ubpdpsbht7/WTMf+Db0n/KNrKeTGp+lG6jjmqGyi+dzff+liz9I6Yf9EJ8a7qa4vvYw+O6V/5WixeubbrBJs83tLHFWu9ra6b7n7Nu3xwWsy9dWn7xwe7bn9yzF9ZPRzQdZ6eHnepa+zxcXMHwcNxwYSdOz6u+NYzFke3sxYfbZx3eUz/4LiOsW0fcWwzvTpuW7q6pw23P99l7e19XL9yccw/4+DYpdqjYq55i+Pp1I9ErF8Rt524d+d69jwx5ve6jl6W6ccECBDIXKD2Jx82GnT9yvj+jM/FKV9ftvkvuHXL4uYLiz9z44A518QVh42JAZ1uV6ttFfOc/alu17xu2cKYfertcd3dxQmCezdAt/LR03lnxinn3xurutt61TQui+smz4jPzjgi7XyFysclZx598safjKjMdcdDz8fpUyJ6PX21CAUnfSRO/96zG1Y18gNx8Y0Xx6Gjt+pulZ4jQIAAgUSBmu0xSNxenYetifvPPj6mdhcKNtrys3HvqR+POUtf3ujZvv2lRttq+wV3bC9rXher7rs4Tjnjplie+q/pvhXTw+jfVy72dFgc3lMo2OhVL8ZjC8+Mo4/9Qizp9apWv43vnn/+xqGgba5hsfeBe8aIjebt5i9CQTconiJAgEBtBGoWDIZOvCh+8fTKWLF4RuxaXVvlOgbzn6o8Vzz/xEUxoe7nuK2NVauKa/ZtE7tOPi0uvv2RDduubP/JxQvizMnjonMJT8aCL90Tve0Ar5ay+fdabGt9rL7jophR/VdvZSNDx02OMxcsiicLs/Z1n3XS/jGysv9j1feuiZt/0XEMYPMlbfGZ9o9hFvM+tSCO6PiH9R5x5uInO5x+MXtCu9HaWDHvk3HSwmc6Zx25f0ydc1ssaV/biqf/Oe5bcE5M3X/7jjHrls2NT85atOUrJ679cdx8R2Xeynwnd9S6PJbcfnl8fP/Xd8zV7QOhoFsWTxIgQKBWAjULBrVa0MDn2b5ymOD2uHX2yXHo+M5/ew4ZPSFOmD0/rpy8Y8cm1v3yqfj1gP4FPsBtrf95XHXZD9oPeVSuJ/Cei+Ke2y+KEyaO7jjEUaz7uGlfihvmfKASDgbxa839Me+qJR2HY4aOOyUW3jM3zjhsfJeLH20VoyYeG2dcdUcsPGl8e6CoBJiF58eFi37fy2J3jqlXfjE+01HrkBg2/n9t+TDEJqFg6LiPxFyHD3px9mMCBAj0TaDlgsHQ3Y6N0yf1dO7AdrHP0e+Pjn/f/vtzsWYAl2we6LbWL/t+3PVs+6l+Iw+P82YfFqO6Pemh8gv4sH+M87qEmr61ua+jK3sy7rs57qheGXHoATHr6k/F7j1eAGlE7F4JL7P2r14v8Zm444b7t7w3ZvuJccC416QvbLNQcErccN1Z8W7nFKQbGkmAAIEEgRYLBpXL+b5ztx5+uW7QGDJs2xieANP7kIFu6+VY9r1FseHUuaGx/SGHxT49/uItVrNJqOl9gQMY8af49fJnOvZkbH/C1Dh4RLeJpcs23li5UNJRHaFry3tjKvX+/btjXG9TVmfvNhRsKahUX+g7AQIECPRVoMWCwV/Gzju9oWM3fF8x+jZ+oNtaEyuf/Lf2TabNNeRt74i9Os4N6Ntq+za672sr5h+yw9jYuXoSx+9WxMoeT0IcEsO33SaxT8VJnid0fvqgsp11/7Y6XuhbQUYTIECAQKJAiwWDrWLE8D7snk5E6n7YQLf1Ujz3++qJhIlzDf2b2GnnwUgG/VhbgfTa4dGxY2HdmnjuhQEcp+lAr57k2fFExKpb4qzeTnDsMtxDAgQIEEgXaLFgkF64kc0lMHTc/44LZ05qPwEz9QTH5qrRagkQIFAGAcGgYV3YOrbdrvqv/7Wx+vmEayqs+00sf7K6l6GeC+/H2orlvPB8rK5+ymPosNj2tbV4e1U/rfH5OGLKjC4nYD4TN0/9ZMxfMRge9bQ2NwECBMolUIv/cw+got5/Ia5buTyeGsAWyvvSYTF6579uX96a+MlPf9nx0cCe1rz+8Z/Fg4Pye7Dr2v4QTy7/16j+vu9pbVEZsfoH98T91espv35MjN7iyZQ9z7TxT0bE3ke9p/2E0u1iwoyZccTI9hMZ1j0Ul5x+fazofXEbT+lvBAgQINCjQAOCQdd/jfb2S+f38eN7fhqD8ruwR6J6/eA1Me49EzvO4l/7o3vjxz2erFesoeunGOq1puq8r4oddtqx47oEz86fG3d27Aqojtn0++/ih3c/3BFuhr55bOyQ+qmDTafa0t+HHRDn33B6jK9mg0cvj2kLnkgILlua1M8IECBAoCrQgGDwmhg+oroLfV08e/ut8aNufyFWbiq06LI4q+uV96qrbpHvQ8a9Ow7avv03XHFC3Rm39nADoYrFkivjnPlPDlLlQ2LE/kfEpI5/md8bM47b0qWOV8eSi06JGfcVV50svnaMScfs3fuljTcM7vN/h4z5UFx0xp7tweXFWDr7nLjaIYU+O3oBAQIEuhOofTB47YjYrvqRtbU/je/ev+kV8LaJce/ctf1/6pUlrboxTjr27Li5y13xirvuXX3R1Djo+Btj1dDtYmTHhN2V0MTPDXl7nHju4Z0n1H3vrDjmxAvi6kUrO/8FXNzVsLA47EvxWHU3/WCUPGzvmPLR3Tv6tG7Zl2Ly+6bG7I47PRaLWBtPL7ouZn90Uky+cmnn3oLdjokp+25Xx1VuFWOO/2yctts2G7bhkEIdrU1NgEBuArW/u2L1I2ttv8QqJ4gd/464uVCtXD3v4oeujEMrn2cbMWlqHF+5FPDc9qv+rVt2Y0w/pPJnM/1tYvwZM+KAb50Zs38/mL8VN1tInZ6oXAZ44qcrJ9T9JE5o2zNS3Czpq3Fe8adOW0yftvLLd8oX48qnjmhfW+WVq+6LuacWf3qepbh08g0Ljo8x9TiM0HWzQ3aJ4y7+RNzzvlmxtPLWWPfoxXHsmaPirtkHdLlkc9cXeEyAAAECKQK132Mw9G3x3g923o+gYxHrnonlv/7Thr8O2T1Ovf68OKC6q7pjUNcH28fEmVfH/Cl/m3ghnK6vbabHlRPqLrg65v5D1xs8dbf+isfpJ8bE6lGY7obU/LnK2mbfGrfMPCDhPg3FjasuiBuvG7wrEm58SMFHGGvefhMSIJClQO2DQeXSvW2/TOZ8LCZu9Iv/hXju+f/sQB4yenJ85YHvxvx//EwcMa59l3DbT6t3Rrwj5k3ZPY9//Q0ZHe+edVs8dPtlcWbbnRQ7mIrbLcYR0z8f8xffG/NOTLglcZeX1ubhiBg/5avxwM9vi4tnbtqryhaKOy7OLNb3s7hj9lFbvglSbRbUZZb2vRod95Co7KGacVks7vaclS4v85AAAQIEehR4xZ8rXz3+1A/KJbBucUzf9fi4ufiYRpdDM+VapNUQIECAQDML1P4cg2bWGOS1r1s0Ld5+/MINH8fc/mNxyw+nxfgtHJvf6DoGNbtOwCAXbXOlE1j+1PJYsmRJvPjiC/GbZ38T//Iv/1K6Nbbagv72rW+NPfbYI/beZ+9WK009LSAgGDSwiX8xfNv4q8r2ny3W8Ox34qYfHh/jJ/ZwNv/6J+Lqz9/QeTfGvtydsIE12nQ5BYowcMPXvhZ33nln/Mea6sdMN6z1bePGlXPRLbKql//wh1i8aFFbNaNGj4pLLr00xo8f3yLVKaMVBASDBnZxyOjdYq/KeRg3ryo+cVFc4veEiFOPiyOP+vsux+pXx9JbvxE3XTs3bl724obVDt09PnT4W1v8pMwGNqaFN/3SSy/F2TPPim9WAkHx9Y4994o3v3mXGDN2bLzxjW9s4crLVdraP/4xHn/8sbjh+uvi8EMOjcuvuCIOPOjAci3SarIVcI5BQ1u/NlbMOy4OOv+hjmsA9L6cykc4Zy6Mm6bsIhj0jmVEF4FiL8HUE6fE0yufjv0m7h/vP+igGF7Za+WrcQJFQPjCpZfEr1asiFtuv82eg8a1wpa7CAgGXTAa87CyR2DhnDhn5o29X8Co8gmFo778hTj3gNFCQWOa1bRbLfYU7Pu/9o7/+q//ilP+z6fjTWPGNG0trbbwIhycOe302P3vdo+rr7mm1cpTTxMKCAZlaVpxhcObfxw/+9a8zkMGbWur3F1w/+PiuHftGe/+8IT2mwmVZdHW0SwCn/4/n2o7fDB95tlCQQmbdsdtt8bd3/5WPPDQgzFy5MgSrtCSchIQDHLqtlqzFFi6dGnbcezDJh8Z733f+7M0KHvRxaGEC8//vMMJZW9UJuurwwWOMpFTJoEmEfjmHRtONNx33/2aZMWWSYBAIwUEg0bq2zaBQRAoPpJYfPpgq1e/ehC2ZhP9EXjuudX9eZnXEKiLgGBQF1aTEiiHQPFJhOI6BcVHEn2VV+AnD/w4XjdsmE8llLdFWa1MMMiq3YrNTeDFlzZc++Jvtt8+t9Kbpt77f/jDeHzZsvj4yR9vmjVbaGsLuMBRa/dXdZkLLHnkkTaB4dsOz1yinOV/957vxK0Lb4rxu42PE6ZMKecirSo7AcEgu5YrOEeB/lzIqDhT3lftBYrzCZ6t3I9iySMPx+9WrYr9JuwX/3T55bXfkBkJ9FNAMOgnnJcRaGWBYvf29dde3colNry2t1fuj3DW2We7FHLDO2EBmwoIBpuK+DsBAvHyH19uUygu0+urtgLbbL1N7DR2p9pOajYCNRQQDGqIaSoCrSbgrn+t1lH1EOhdwKcSejcyggABAgQIZCNgj0GTtvr+H90fi+67L1auXBl//vOfm7QKy663wL9UTnLzRYAAgb4ICAZ90SrB2OK696d95jNtt84tlvO2ceNKsCpLKKvANq99bdstlsu6PusiQKB8AoJB+XrS44ruvuvu+MTJJ8dfbr11nHjSx+Pv9nhHj2P9gAABAgQI9EdAMOiPWgNeUxw6KELBm8aMiU995jTXvW9AD2ySAAECOQg4+bAJuvzSSy/Fpz75yXh95T7tQkETNMwSCRAg0MQCgkETNO+ub98Vayo3wjnuo1PsKWiCflkiAQIEmllAMGiC7i286aa2vQXFYQRfBAgQIECgngKCQT11azT3zyufRNj97/ao0WymIUCAAAECPQsIBj3blOonr37Na0q1HoshQIAAgdYUEAxas6+qIkCAAAEC/RIQDPrFNrgvet2wYbH63/99cDdqawQIECCQpYBg0ARt33fffePhn/001v7xj02wWkskQIAAgWYWEAyaoHuHHnZY/KFyLYMf/vAHTbBaSyRAgACBZhYQDJqge3vvs3fsN2G/uHXhTfHb3/62CVZsiQQIECDQrAKCQZN07vwLLohhlXMNLrlwVjzy8M+aZNWWSYAAAQLNJiAYNEnHRlYuh3zTzTfHmJ12iq9e+eX44hcubQsIzz//XJNUYJkECBAg0AwCbqLUDF1qX+NOY3eK6752fXzjxhvjy1d8Ob667MtNtHpLbZTA1pW7cV76xS81avO2S4BAkwkIBk3WsOJ/8idMmdL2Z2nliohLHnmkySqw3MEUeOjBh2LxokWDuUnbIkCgyQUEgyZu4Pjx46P444vAlgQEgy3p+BkBApsKOMdgUxF/J0CAAAECGQvYY5Bx85VOoDeB+fPm9TbEz/shsM02r41999s3ipOKfREom4BgULaOWA+BEgjsOu5/xD133xUXnD+rBKtp3SUU1yc5c8bMKE4s9kWgLAKCQVk6YR0ESiTwxje+MS7zSYa6daS4UNljy/6/+G4lfE0+/PC46pqrnS9UN20T91XAOQZ9FTOeQBMJFLusi69frVjRRKtu/aUWweu973t/nDZ9RvzX+vXx0eOOj1WrVrV+4SpsCgHBoCnaZJEE+iew85t3bnvhH//4cv8m8Kq6ChQB4fRKOPiPNWti5pln1nVbJieQKiAYpEoZR6AJBcaOHdu26meffbYJV5/HkotwsN/E/eMHi38QL1VuluaLQKMFBINGd8D2CdRRoLgg1v94+9tj6RIXwqoj84Cn3nOv/9k2x1NPPTXguUxAYKACgsFABb2eQMkFjjzqqLZzDJxnUPJGWR6BkggIBiVphGUQqJfAQR84KF5XuTPnwm98vV6bMO8ABZwD0k/AF9bEmvX9fG3yy56M+R98S4wZNbryZ6+YvmhN8iubdaBg0Kyds24CiQLF4YRp06e37TX4euUmXL7KJ3Df9++N173udT6ymNya1bF04YyY9K4LYul/J7/IwEQB1zFIhDKMQDMLHHnUkfF//+8v4mvXXR8vv/xy/O8PHRtbvfrVzVxSy6z9kYd/Fo8vWxYnf+ITLVNTXQtZ82DMPnZqzF32YsRWk+u6qVwnFwxy7by6sxM459xzK/8qHRZXXH55/OLxx+J9Bx4U73jnO2P48G2zsyhLwUUo+OqVX45Ro0fFiVNPLMuyyr2O5x+PnxShwFfdBASDutGamED5BD5z6mdiwsQJ8cV/+qe4deFNbX/eNGZM7PKWv40RI/4q/mb77cu36BZc0W8qHx9dunRJ256C4lMjX/7KlVEc8vFFoAwCgkEZumANBAZRoLhV99XXXBPLn1oe3/zmN+PH998fd3/7W4O4ApsqBHYcNSrOnDkjjjr6aKHAW6JUAoJBqdphMQQGT6C4cU+xB6H4U3wVQeHFl+yiHYwObLP1Nm6cNBjQttEvAcGgX2xeRKD1BNzhr/V62koVrVs0Ld5+/MJY27WotQvjhLELNzxTORFx/mMXxYShxccLD44LlhUjR8YRC74TF04c1vVVGz9eOS8mTZgVjxXPdsyx8ZDN/7Y+1iz9Vtx049Vx2cJlsa5twDax6+QpcfD7PhDHThwdQzZ/UffPrF8Zi6/9Xjz8wNdi7n3Pdo4ZOi6OOPWIeO97D48Jo7fqfH4QHvm44iAg2wQBAgQItIpA5aOS806Kgw75dMzuCAVFbS/GYwsvjfOOnxhv/eA58f2VG0WYbopfG0/fe05M2mVinHDuhRuHgmL0umVx84VnxwkT3hGTZtwdT9f9eg2dSxQMOi08IkCAAAECWxD4Qzxxw1lxyvn3xpbuhblu2TUx9ehzY3GPV1+qhIJbT49jplwTj23Y3bCFbVYCx9c/FcectHDQwoFgsIV2+BEBAgQIlENg6MSL4hdPr4wVi2fErtUlFbv+n6o8Vzz/RHEYofqDen2v/JK+76FKKBgaI/f/WFx8+yMbtl3Z/pOLF8SZk8dVftL+teqWOGvWoujuOonrV1xfueX2tzvCxdBxk+OMObfFkqKO9j/FfGedtH/lYEjxtS5Wfe+8OG3BEzEYOw4Eg/Ye+kaAAAECBHoXqJxLcNK1cddV0+LQ8SM6hg8ZPSFOmL0gbjhpfHs4qPwyv31B3LJi00MKv407Z305lrbtKSjm+no89M2LYuph46PrmRDFfMdNmxt33XpK7NqWNl6MpbMvjTtX1z8aCAYdbfWAAAECBAj0IrD9MfHZ0/ba6Jd45ytGxO6nzYrTdttmw1PrlsT1t/xi43/lr34ovvOj9v0IW5yrmGJIDNv9pPjsCTu3z/dwfOcHv9vwuI7/FQzqiGtqAgQIEGglgWEx8dMfivFb+sjBkLFxyDF7duw1+N2Tz3Q5nLA+Vv/gnri/bW/B0Nj+798d47Y0Vxvda2LceybGhkuPrYmf/PSX7Z+CqJ+rjyvWz9bMBAgQINBSAn8dY9/UdYd/d8VV/pX/pjHx+rg3ig8frnvgp7Fs3aHt5z/8KX69/Jn2X+zr4tkrD4+dr+xujp6fW/vE8vhNTIhRPQ8Z8E/sMRgwoQkIECBAIA+B18W2wzpOL+yx5CHDto3h3f70P2PN6he6/Unyk08uj5W9fpIhebZuBwoG3bJ4kgABAgQI5CngUEKefVc1AQIECPRZ4D/iuTXFP9e3vNdg/Zrn4vnq3H+1bQzr+Cf4/xPDRry28pPiKghbxa4z74w7prSfWFgdX4LvHcstwVosgQABAgQI1FBgbax+/uUtzrdu5fJ4aosjuv7w3+KpX3V3ZYKuYyqXS/7Viqh+dmDom8fGDh0nGL4qdthpx/ZYsTaeeOjxWN31pSV5LBiUpBGWQYAAAQK1ENg6tt2uem+BP8STy/91448LbrSJ38eP7/npxvdf2Ojnm/5lTdx/90Nb/mW+/qm4/YaH2k8wHBZ7H7hndLnaQfuJiRvmXfejm+P2za5zsOk2K59kuPXE2GXU6BhT+bPLR2/b8vY3fXk//i4Y9APNSwgQIECgrAKvieEjqsGgcub/7bfGj7q9NHHlX/aLLouzFj7Tp0LW3fe5mDqvpysQro4ll8yISx5tv0vp0D3i/fu9fqP5h4w7OD7UcZ2Dh+KST18RS7pd34aXrV+xIKZOv7c9aOwYk47Zu0vQ2Gjqmv1FMKgZpYkIECBAoO4Crx0R21UP8a/9aXz3/t9vssltYtw7d+08C2DVjXHSsWfHzUs7d9qvX7k4rr5oahx0/I2xauh2MbJjwk2m6vavlSsQnj85DjtjXizuuFFScbfF22L2RyfF5CuXtv8S3ybGn/GZOHhEx3GEDbNVrnNw+CkfaL/UcXGvpC/F5D0OjelfuSOWdg0Ia5bGbV+ZFoe9b1b7VRIrZzbsdkxM2Xe7bldVyydf8efKVy0nNBcBAgQIEKibwLrFMX3X4+PmTa80PPSAuPihK+PQ4hfx+iUxe9+jY+6zvX2ur/LLe+a5ccC3zozZxW2au73tctfbOI+PqTNHx53n39Zxn4Pu66zcS+E958UNV06OUZvkgg3j18aKecfFQedXDzl0P8tGz478QFx848Vx6CDcgtkeg43k/YUAAQIESi0w9G3x3g/uuPkS1z0Ty3/9pw3PD9k9Tr3+vDhgZHXXwubDo3ItwYkzr475U/62cuHh1K9Xxrbv/lzcMKfzX/ybv7Jy/4N/+MIWQkHxiq1izJSr4555H2m/D8Lms3R9Zui4j8TcQQoFxXYFg676HhMgQIDAoArc9I2b4tRPf7oP29wuJsy+NW6Z87GYuNEv/hfiuef/s2OeIaMnx1ce+G7M/8fPxBHj2u9d0PbTyi/uyadV7ox4R8ybsnsP9zzomKabB1vFqMO+EHfdPiem7r/hQsUbBlWCxkkzKvMujjtmHdjDnoKu01XmOeCzcccTiyprnL7JXMW4Yr7pcdaCRfGLb3423j0Iewqqq3MooSrhOwECBAgMmsDSpUtj1nnnxaNLHo3ddt8trr722th6660Hbfs21LOAYNCzjZ8QIECAQI0FXnrppZhz8SVxXSUIDN92eJx+xrQ48qgja7wV0w1EwJUPB6LntQQIECCQLFAcNrh49kXx/HPPx7Ef/nCcevpp9hIk6w3eQMFg8KxtiUDTCix/anmMfMNI/xNv2g42duGbHjaYd9VVMX78+MYuytZ7FHAooUcaPyBAoCpwwvEfjT332jNOmDKl+lS/vxdXbyu+Vjy9st9z9PWFjdhmX9fYiuMdNmjOrtpj0Jx9s2oCgyZQ/Gtv8aJF8cjDD8dRRx9tr8GgyTf3hroeNph0yKQ45/Of995pkpb6uGKTNMoyCTRKYM4ll7Rt+sUXX4xv3Hhjo5Zhu00iUBx2KvYwzZg+PYYPHx633H5bzLnsMqGgSfpXLFMwaKJmWSqBwRYo9hY8+MBPOjb7pS9eHsXuYV8ENhUo3heXzrk03nvAAfHzny+NM2fOiHvvu8+5BJtCNcHfBYMmaJIlEmiUQHVvQXX79hpUJXzvKnD3XXfHfvvsE1dcfnkUhw2+fffdNTkfpes2PB48AcFg8KxtiUBTCWy6t6C6eHsNqhK+Vw8bfOLkkzc6bDBy5Eg4TSwgGDRx8yydQD0FNt1bUN2WvQZViXy/O2zQ2r0XDFq7v6oj0C+BnvYWVCez16Aqkd93hw1av+eCQev3WIUE+izQ096C6kT2GlQl8vnusEE+vRYM8um1SgkkCfS2t6A6ib0GVYnW/u6wQWv3t7vqBIPuVDxHIGOB3vYWVGnsNahKtO53hw1at7dbqkww2JKOnxHITCB1b0GVxV6DqkRrfXfYoLX62ddqBIO+ihlPoIUFUvcWVAnsNahKtMb3rocNistgu0hRa/S1r1UIBn0VM55Aiwr0dW9BlcFeg6pEc3+//0f3xyEHH9x2kaIJEyfGAw896CJFzd3Sfq9eMOg3nRcSaC2Bvu4tqFZvr0FVojm/r1q1qu3eBh859ti2Aq657rqYv+CqcJGi5uxnLVYtGNRC0RwEmlygv3sLqmXba1CVaJ7vxWGD+fPmxbv23Kvt7pnFYYPb77wz9t5n7+YpwkrrIiAY1IXVpASaS6C/ewuqVdprUJVoju/VwwYXnD8ruh422HrrrZujAKusq4BgUFdekxMov8BA9xZUK7TXoCpR3u8OG5S3N2VamWBQpm5YC4EGCAx0b0F1yfYaVCXK991hg/L1pMwrEgzK3B1rI1BngVrtLagu016DqkR5vjtsUJ5eNMtKBINm6ZR1EqiDwBWXf6mmsxZ7De769l01ndNk/RNw2KB/bl4V8UoIBAjkK1B8LC3la8yo0W3DVjy9MmW4MQ0UKA4bfOPGG6M4sbD4Kj5tcNTRR4cTCxvYlCbbtGDQZA2zXAIECPQkUBw2OPecz8WvVvyq7dMG58063/UIesLyfI8CgkGPNH5AgACB5hAoDhucNWNm2/UIhm87PIqLFLkeQXP0royrFAzK2BVrIkCAQKJAcZGir1x5ZTz/3PNx8ic+ESdOPdFhg0Q7w7oXEAy6d/EsAQIESi1QfKLkjNNO6zhsMP3MM2OnsTuVes0W1xwCgkFz9MkqCRAg0CZQHDa4+KKL4o7b74jisMHlV1wRBx50IB0CNRMQDGpGaSICBAjUV8Bhg/r6mn2DgGDgnUCAAIGSCzhsUPIGtdjyBIMWa6hyCBBoHQGHDVqnl81UiWDQTN2yVgIEshFw2CCbVpeuUMGgdC2xIAIEchZw2CDn7pejdsGgHH2wCgIEMhdw2CDzN0CJyhcMStQMSyFAIE8Bhw3y7HtZqxYMytoZ6yJAoOUFuh422G333eIbNy10kaKW73r5CxQMyt8jKyRAoMUEijsgzrn4krju2mvbLlI068IL48ijjmyxKpXTrAKCQbN2zroJEGhKgZu+cVNcPPuitnsbHPvhD8epp5/m3gZN2cnWXbRg0Lq9VRkBAiUSKA4bzDrvvHh0yaNRHDaYd9VVMX78+BKt0FIIbBAQDLwTaiowZtToLc634umVW/y5HxJoNQGHDVqto61fj2DQ+j1WIQECDRJw2KBB8DY7IAHBYEB8XkyAAIHNBRw22NzEM80jIBg0T6+slACBkgs4bFDyBllekoBgkMRkEAECBLYs4LDBln38tHkEBIPm6ZWVEiBQQgGHDUrYFEsakIBgMCA+LyZAIFcBhw1y7Xzr1y0YtH6PVUiAQI0Fuh42mHTIpDjn8593kaIaG9djOh+nTlMVDNKcjCJAgEAsf2p5XHjBBbF40aJ405g3uUiR90RLCggGLdlWRREgUEuB4rDBV+d+Na64/PK2exucOXNGnDBlSi03YS4CpREQDErTCgshQKCMAnffdXf849lntd3boDhscPq0aTFy5MgyLtWaCNREQDCoCaNJCBBoNQGHDVqto+pJFRAMUqWMI0AgCwGHDbJosyK3ICAYbAHHjwgQyEvAYYO8+q3a7gUEg+5dPEuAQEYCDhtk1Gyl9iogGPRKZAABAq0q4LBBq3ZWXQMREAwGoue1BAg0rYDDBk3bOguvs4BgUGdg0xMgUC4Bhw3K1Q+rKZ+AYFC+nlgRAQJ1Erh0zqVtFykqpneRojohm7bpBQSDpm+hAggQSBUorlw4YeLEOG/W+S5SlIpmXHYCgkF2LVcwgXwEVq1aFWfNmNlR8DXXXRd777N3x989IEBgcwHBYHMTzxAg0OQCxacNvnHjjXHB+bM2qkQo2IjDXwh0K/AX3T7rSQIECDSpwP0/uj8OOfjgtlBQHDZ44KEHm7QSyybQGAF7DBrjbqsECNRYoHrYoHpLZIcNagxsumwEBINsWq1QAq0psOlhg+LTBkcdfXRsvfXWrVmwqgjUWUAwqDOw6QkQqJ9Acdjg3HM+F79a8SufNqgfs5kzExAMMmu4cgm0goDDBq3QRTWUVUAwKGtnrIsAgW4Fir0EHzn22LafOWzQLZEnCQxIQDAYEJ8XEyAw2AJveMMbYtIhk+L0adNcpGiw8W0vCwHBIIs2K5JA6wjsNHanmHPZZa1TkEoIlEzAdQxK1hDLIUCAAAECjRQQDBqpb9sECBAgQKBkAoJByRpiOQQIECBAoJECgkEj9W2bAAECBAiUTEAwKFlDLIcAAQIECDRSQDBopL5tEyBAgACBkgkIBiVriOUQIECAAIFGCggGjdS3bQIECBAgUDIBwaBkDbEcAgQIECDQSAHBoJH6tk2AAAECBEomIBiUrCGWQ4AAAQIEGikgGDRS37YJECBAgEDJBNxEqWQNsRwCvQu8HEsvOiQOv/LJXoduNXlB/Hz2hBja60gDCBAgsEHAHgPvBAJNJ/CaGD/tu7Hi6X+O++Z9JHbd5Lf+0HFHx4W3P1L5+cr4hVDQdN21YAKNFhAMGt0B2yfQb4GtYtQBR8cH3rJV5wwjj44rr/t8HDF+ROdzHhEgQKAPAoJBH7AMJVA6gfUvxnPPrW9f1tDY/pDDYp9hQ0q3TAsiQKB5BASD5umVlRLYXGDNM/HU79a1Pz86DnrPW0Is2JzJMwQIpAsIBulWRhIomcD6WP2De+L+ai7Y6u2xx9teU7I1Wg4BAs0mIBg0W8esl0CHwJ/i18ufiWouGPqud8a4TU5E7BjqAQECBBIFBINEKMMIlE5g/T/Hvd9a2b6sYbH3gXuGUw5L1yULItB0AoJB07XMggm0C/z60fjJs9X9BX8dY980DA0BAgQGLCAYDJjQBAQaIVA5v+DRh+OJ6qa3nxgHjHN+QZXDdwIE+i8gGPTfzisJNFDgd/HDux9uP7+g8jHFv393jPNxhAb2w6YJtI6AYNA6vVRJTgLr/zWW//IP7RX/Zey80xt8TDGn/quVQB0FBIM64pqaQL0E1i/7ftxVPb9g6B7x/v1eX69NmZcAgcwEBIPMGq7cVhBYH2t+tSJ+Vy3lLXvEbiMcR6hy+E6AwMAEBIOB+Xk1gQYIbHJ+wbt2i/+3AauwSQIEWlNAMGjNvqqqlQXW/TJ+9sCa9gpdBrmVW602Ao0QEAwaoW6bBAYgsP7xn8WDa9snGLpj7LTDqwYwm5cSIEBgYwHBYGMPfyNQcoGXY9n3FsWz7ascus/7Yl/nF5S8Z5ZHoLkEBIPm6pfVZi+wJlY++W/tClvFLnu+zWWQs39PACBQWwHBoLaeZiNQX4HVD8V3flQ9v2CH+J9/t3369tYvidmT58TS9ekvMZIAgfwEBIP8eq7iJhZY/+un4snq7RH6dBnktbFiwRfint33c4XEJu6/pRMYDIFXDsZGbIMAgVoIbHJ+wZvHxg6Jly9Yv+L6mDbn1XHKA293hcRatMIcBFpYwB6DFm6u0lpMoL+3WV7/RFx9+uXx+LucqNhi7wjlEKiLgGBQF1aTEqi1QOVuinfMjQXVyyBH4m2W1yyJ+SdOiQseHRJ7H7inExVr3RbzEWhBAYcSWrCpSmo1gdWxdOGcOGfmve13Uyzq+9f42SO/jvXjd+nm0EDlkslLvxW3/PTB+PachfFYcU7C0APcT6HV3hbqIVAnAcGgTrCmJTBggeJTBPseHXM79hJ0nfHFWHr++2Pn87s+1/Nj1zvo2cZPCBDYWEAw2NjD3wiUR2DI7nHGj5+MM8qzIishQCADAecYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQgIBhk0WYkECBAgQCBVQDBIlTKOAAECBAhkICAYZNBkJRIgQIAAgVQBwSBVyjgCBAgQIJCBgGCQQZOVSIAAAQIEUgUEg1Qp4wgQIECAQAYCgkEGTVYiAQIECBBIFRAMUqWMI0CAAAECGQi8MoMalUiAQA8C53z2c/H444/38NPNnz7isMM3f7LLM6/a6lXxD/9wTBx40IFdnvWQAIFmEhAMmqlb1kqgxgJ7vOMdcd211ybP+uiSJb2OvWTOnF7HGECAQHkFHEoob2+sjEDdBYp/2e+w4w41286xH/5wjBw5smbzmYgAgcEXEAwG39wWCZRK4PQzptVsPVNP+ljN5jIRAQKNERAMGuNuqwRKI1CrvQb2FpSmpRZCYEACgsGA+LyYQGsI1GKvgb0FrfFeUAUBwcB7gACBtk8RDORcA3sLvIkItI6AYNA6vVQJgQEJDGSvgb0FA6L3YgKlEhAMStUOiyHQOIH+nmtgb0HjembLBOohIBjUQ9WcBJpUoD97DewtaNJmWzaBHgQEgx5gPE0gR4G+7jWwtyDHd4maW11AMGj1DquPQB8F+rLXwN6CPuIaTqAJBASDJmiSJRIYTIHUvQb2FgxmV2yLwOAJCAaDZ21LBJpGIGWvgb0FTdNOCyXQJwHBoE9cBhPIQ6C3vQb2FuTxPlBlngKCQZ59VzWBXgW2tNfA3oJe+Qwg0LQCgkHTts7CCdRXoKe9BvYW1Nfd7AQaLSAYNLoDtk+gxALd7TWwt6DEDbM0AjUQEAxqgGgKAq0qsOleA3sLWrXT6iLQKSAYdFp4RIBANwJd9xrYW9ANkKcItJiAYNBiDVUOgVoLFHsNRo0eFfYW1FrWfATKKfDKci7LqggQKJPA5845N8buPLZMS7IWAgTqJPCKP1e+6jS3aTMUGDNqdIZVK5kAgVYQWPH0ylYoY8A1OJQwYEITECBAgACB1hFwKKF1etkUlXx1wTVNsU6LrJ/Aicd/pG3ywXwvNGKb9RM0c38Fqu+D/r4+l9fZY5BLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEFAMEhAMoQAAQIECOQiIBjk0ml1EiBAgACBBAHBIAHJEAIECBAgkIuAYJBLp9VJgAABAgQSBASDBCRDCBAgQIBALgKCQS6dVicBAgQIEEgQEAwSkAwhQIAAAQK5CAgGuXRanQQIECBAIEHglQljDCFAgEDNBL664JqazZU6USO2mbo24wiUTcAeg7J1xHoIECBAgEADBQSDBuLbNAECBAgQKJuAYFC2jlgPAQIECBBooIBg0EB8myZAgAABAmUTEAzK1hHrIUCAAAECDRQQDBqIb9MECBAgQKBsAoJB2TpiPQQIECBAoIECgkED8W2aAAECBAiUTUAwKFtHrIcAAQIECDRQQDBoIL5NEyBAgACBsgkIBmXriPUQIECAAIEGCggGDcS3aQIECBAgUDYBwaBsHbEeAgQIECDQQAHBoIH4Nk2AAAECBMomIBiUrSPWQ4AAAQIEGiggGDQQ36YJECBAgEDZBASDsnXEeggQIECAQAMFBIMG4ts0AQIECBAom4BgULaOWA8BAgQIEGiggGDQQHybJkCAAAECZRMQDMrWEeshQIAAAQINFBAMGohv0wQIECBAoGwCgkHZOmI9BAgQIECggQKCQQPxbZoAAQIECJRNQDAoW0eshwABAgQINFBAMGggvk0TIECAAIGyCQgGZeuI9RAgQIAAgQYKCAYNxLdpAgQIECBQNgHBoGwdsR4CBAgQINBAAcGggfg2TYAAAQIEyiYgGJStI9ZDgAABAgQaKCAYNBDfpgkQIECAQNkEBIOydcR6CBAgQIBAAwUEgwbi2zQBAgQIECibgGBQto5YDwECBAgQaKCAYNBAfJsmQIAAAQJlExAMytYR6yFAgAABAg0UEAwaiG/TBAgQIECgbAKv+HPlq2yLsp7mFRgzanTzLt7KCRDIWmDF0yuzrr9avD0GVQnfCRAgQIAAgRAMvAkIECBAgACBDgHBoIPCAwIECBAgQEAw8B4gQIAAAQIEOgQEgw4KD2oh4OSdWiiagwABAo0TEAwaZ2/LBAgQIECgdAKCQela0vwLsteg+XuoAgK5Cfj/VmfHXceg08IjAgQIECCQvYA9Btm/BQAQIECAAIFOAcGg08IjAgQIECCQvYBgkP1bAAABAgQIEOgUEAw6LTwiQIAAAQLZCwgG2b8FABAgQIAAgU4BwaDTwiMCBAgQIJC9gGCQ/VsAAAECBAgQ6BQQDDotPCJAgAABAtkLCAbZvwUAECBAgACBTgHBoNPCIwIECBAgkL2AYJD9WwAAAQIECBDoFBAMOi08IkCAAAEC2QsIBtm/BQAQIECAAIFOAcGg08IjAgQIECCQvYBgkP1bAAABAgQIEOgUEAw6LTwiQIAAAQLZCwgG2b8FABAgQIAAgU4BwaDTwiMCBAgQIJC9gGCQ/VsAAAECBAgQ6BQQDDotPCJAgAABAtkLCAbZvwUAECBAgACBTgHBoNPCIwIECBAgkL2AYJD9WwAAAQIECBDoFBAMOi08IkCAAAEC2QsIBtm/BQAQIECAAIFOAcGg08IjAgQIECCQvYBgkP1bAAABAgQIEOgUEAw6LTwiQIAAAQLZCwgG2b8FABAgQIAAgU6B/x9xKlqBlHxaVwAAAABJRU5ErkJggg==" alt></p>
<p>A tuning fork is sounded above the tube. For particular values of <em>L</em>, a standing wave is established in the tube.</p>
<p>(i) Explain how a standing wave is formed in this tube.</p>
<p>(ii) The frequency of the tuning fork is 256 Hz. The smallest length <em>L</em> for which a standing wave is established in the tube is 33.0 cm. Estimate the speed of sound in the tube.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows an enlarged view of the tube shown in (a). X, Y and Z are three molecules of air in the tube.</p>
<p><img 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" alt></p>
<p>The length <em>L</em> is 33.0 cm.</p>
<p>(i) State the direction of oscillation of molecule Y.</p>
<p>(ii) Identify the molecule that has the greatest amplitude.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) travelling waves move down the tube;<br>which then interfere with the reflected waves (from the closed end of the tube/surface of the water);<br> </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Accept superposition as an alternative to interference. </span></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">\(\begin{array}{l}<br>\lambda = \left( {4L = 4 \times 0.33 = } \right)1.32\left( {\rm{m}} \right);\\<br>v = \left( {f\lambda = 256 \times 1.32 = } \right)338\left( {{\rm{m}}{{\rm{s}}^{ - 1}}} \right)<br>\end{array}\);</span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) vertical;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) X; </span></p>
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<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Part (a) was answered well by many, but the idea of superposition of incident and reflected waves was often expressed poorly. Candidates seemed to have memorised the definition of how a standing wave is formed but often struggled to see how it applied to this situation. Part (ii) was easy if the candidate knew that the wavelength was 4L. Many just used L or other multiples of L. <br></span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Part (b) was also an easy 2 marks as long as it was remembered that the waves were longitudinal. </span></p>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>This question is about polarization.</p>
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<p>State what is meant by polarized light.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
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<p>Light of intensity <em>I</em><sub>0</sub> is incident on a polarizer. The transmission axis of the polarizer is vertical. The polarizer is rotated by an angle <em>θ</em> about the direction of the incident light. The intensity of the transmitted light is measured for various angles <em>θ</em>.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">On the axes below, sketch graphs to show the variation of the transmitted intensity <em>I</em> with <em>θ</em> when the incident light is</p>
<p style="text-align: left;">(i) horizontally polarized.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(ii) unpolarized.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></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>light in which the <span style="text-decoration: underline;">electric field</span> oscillates in the same plane;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) zero at 0 and 180 degrees;<br>peak at 90 degrees;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) horizontal straight-line;<br>through half the incident intensity;</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="question_part_label">b.</div>
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<div class="question_part_label">a.</div>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>This question is about standing (stationary) waves.</p>
<p>The diagram shows an arrangement used to produce a standing (stationary) wave on a stretched string of length 2.4 m. A standing wave with five loops appears when the frequency of the oscillator is set to 150 Hz, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the name given to point X on the string.</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 speed of the wave along the string.</p>
<p>(ii) Calculate the frequency of the oscillator that would produce a standing wave with two loops on this string.</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;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">node; </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 5">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) wavelength </span><span style="font-size: 11.000000pt; font-family: 'Arial';">\( = \frac{{{\text{2.4}}}}{{{\text{2.5}}}} = \left( {0.96{\text{m}}} \right)\);<br></span>\(c = f\lambda = 144\left( {{\text{m}}{{\text{s}}^{ - 1}}} \right)\)<span style="font-size: 11.000000pt; font-family: 'Arial';">; </span></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) 60 (Hz); </span></p>
</div>
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</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about standing waves on strings.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A string is fixed at one end and the other free end is moved up and down. Explain how a standing wave can be formed on the string.</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 diagram shows a string vibrating in its first harmonic mode. Both ends<br>of the string are fixed.</p>
<p><img 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" alt></p>
<p>(i) Label an antinode on the diagram.</p>
<p>(ii) The length of the string is 0.85 m and its first harmonic frequency is 73 Hz. Calculate the speed of the waves on the string.</p>
<p>(iii) Sketch how the string will appear if it is vibrated at a frequency three times that of the first harmonic frequency.</p>
<p>(iv) State the speed of the wave when the string is vibrated at a frequency three times that of the first harmonic frequency.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>at certain fixed frequencies;<br>incident wave and reflected wave;<br>superpose (or interfere);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) antinode clearly labelled in centre;</p>
<p>(ii) wavelength=1.7 m;<br>speed=1.2×10<sup>2 </sup>ms<sup>-1</sup>;</p>
<p>(iii) <img src="data:image/png;base64,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" alt></p>
<p>(iv) 1.2×10<sup>2 </sup>ms<sup>-1</sup>;</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 waves.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the principle of superposition.</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 diagram shows a plan view of a harbour with a floating barrier that has two openings of equal width.</p>
<p><img 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" alt></p>
<p>Plane water waves from the open sea are incident on the barrier and the openings act as point sources of waves. The distance from the openings to XOY is much greater than the wavelength of the wave. O is equidistant from the openings.</p>
<p>The graph shows the variation of the magnitude of the wave amplitude that is observed along the line XOY.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State why the two sets of waves emerging from the openings are coherent.</p>
<p>(ii) Explain how the disturbance at point A arises. You may draw on the diagram <strong>of the harbour</strong> to illustrate your answer.</p>
<p>(iii) The wavelength of the waves is doubled. State and explain the effect that this change will have on the graph.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The harbour in (b) is modified to have many narrower openings. The total width of the openings remains the same. Outline <strong>two</strong> ways in which the variation of wave amplitude along XY changes from that shown on the graph in (b).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>net displacement of the medium;<br>equals the resultant/sum of individual displacements;<br><em>Award <strong>[1 max]</strong> for reference to amplitude rather than displacement.</em><br><em>Award <strong>[0]</strong> for reference only to troughs and crests.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) division of wavefront so constant phase;</p>
<p>(ii) interference/superposition occurs at A;<br>between waves from each opening;<br>waves arrive in phase / path difference is <span style="text-decoration: underline;">one</span> wavelength;<br>producing a (1st order) maximum;<br><em>Award <strong>[3 max]</strong> for clear points that appear on diagram.</em></p>
<p>(iii) maxima occur when the path difference is an integral number of wavelengths;<br>because wavelength doubles, larger distances/angles required to achieve same path difference;<br>successive maxima fringes are twice as far/further apart;</p>
<p><em><strong>or</strong></em></p>
<p>quotes double slit/grating formula;<br>substitute 2λ into equation and states all other terms stay constant;<br>successive maxima fringes are twice as far/further apart;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>Assuming spacing of openings stays the same.</em><br>same separation of maxima;<br>maxima increase in amplitude/intensity;<br>maxima narrower/sharper;<br>formation of secondary maxima;<br><em>Award<strong> [2 max]</strong> for other reasonable responses if the response clearly states an assumption that the openings are closer or further apart than before.</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 diffraction and polarization.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light from a monochromatic point source S<sub>1</sub> is incident on a narrow, rectangular slit.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>After passing through the slit the light is incident on a screen. The distance between the slit and screen is very large compared with the width of the slit.</p>
<p>(i) On the axes below, sketch the variation with angle of diffraction <em>θ</em> of the relative intensity <em>I</em> of the light diffracted at the slit.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) The wavelength of the light is 480 nm. The slit width is 0.1 mm and its distance from the screen is 1.2 m. Determine the width of the central diffraction maximum observed on the screen.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Judy looks at two point sources identical to the source S<sub>1</sub> in (a). The distance between the sources is 8.0 mm and Judy’s eye is at a distance <em>d</em> from the sources.</p>
<p>Estimate the value of <em>d</em> for which the images of the two sources formed on the retina of Judy’s eye are just resolved.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from a point source is unpolarized. The light can be polarized by passing it through a polarizer.</p>
<p>Explain, with reference to the electric (field) vector of unpolarized light and polarized light, the term polarizer.</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)<img 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" alt></p>
<p>overall correct shape with central maxima at <em>θ</em>=0; { <em>(only one secondary </em><em>maximum required each </em><em>side of θ=0)</em><br>secondary maximum no greater than ¼ intensity of central maximum; { <em>(judge by </em><em>eye)</em></p>
<p>(ii) \(\theta = \frac{\lambda }{b} = \frac{x}{D}\) (where <em>x</em> is the half width of central maximum);<br>\(2x = 2\frac{{D\lambda }}{b}\);<br>\(\left( {\frac{{2 \times 1.2 \times 4.8 \times {{10}^{ - 7}}}}{{{{10}^{ - 4}}}}} \right) = 12{\rm{mm}}\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>diameter of pupil =3.0 mm; <em>(accept answers in the range of 2.0 mm to 5.0 mm)<br></em>\(\theta = \left( {1.22 \times \frac{\lambda }{b} = 1.22 \times \frac{{4.8 \times {{10}^{ - 7}}}}{{3.0 \times {{10}^{ - 3}}}} = } \right)1.95 \times {10^{ - 4}}\left( {{\rm{rad}}} \right)\);<br>\(d = \frac{{8.0 \times {{10}^{ - 3}}}}{{1.95 \times {{10}^{ - 4}}}} = 41{\rm{m}}\);<em> (accept answer in the range of 20m to 70m)<br></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>in unpolarized light the plane of vibration of the electric (field) vector is continually changing / <em>OWTTE</em>;<br>in polarized light the electric vector vibrates in one plane only;<br>a polarizer is made of material that absorbs/transmits either the horizontal or vertical component/only one component of the electric vector;</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 interference of light.</p>
<p>Two coherent narrow beams of light pass through two identical evacuated tubes, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The two coherent narrow beams are brought to a focus at point P on a screen.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by coherence.</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, with reference to the wavelength, the condition that must be satisfied for a bright fringe to be formed on the screen at point P.</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>Air is allowed to enter gradually into one of the evacuated tubes. The brightness of the light at point P is seen to decrease and then increase again repeatedly.</p>
<p>(i) State the effect on the wavelength of the light in the evacuated tube as the air is introduced.</p>
<p>(ii) Suggest why there is a variation in the brightness of the light at point P.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>constant phase difference;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>path difference between beams=<em>nλ</em>, where <em>n</em> is an integer/is one wavelength;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) wavelength decreases;<br>(ii) (effective/optical) path/phase difference changes;</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 standing waves in an organ pipe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows an organ pipe that is open at both ends.</p>
<p><img 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" alt></p>
<p>The pipe is emitting its lowest frequency note.</p>
<p>On the diagram above,</p>
<p>(i) sketch a representation of the standing wave set up in the pipe.</p>
<p>(ii) label with the letter P, the point or points within the pipe where the air pressure is a maximum.</p>
<p>(iii) label with the letter A, the displacement antinodes.</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 length of the pipe in (a) is 1.5 m. An organ pipe that is closed at one end has the same lowest frequency note as the pipe in (a).</p>
<p>Show that the length of this pipe is 0.75 m.</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><img 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" alt></p>
<p>(i) waveform showing node at centre and antinodes at end;</p>
<p>(ii) P as shown;</p>
<p>(iii) A as shown;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>for open pipe \(f = \frac{v}{{2l}}\left( { = \frac{v}{{3.0}}} \right)\);<br>for closed pipe \(f = \frac{v}{{4l}} = \frac{v}{{3.0}}\);<br>so <em>l</em> = 0.75m</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 polarized light.</p>
</div>
<div class="question">
<p>Describe what is meant by polarized light.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>the electric field vector oscillates in one plane/direction only;</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 interference.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two radio stations, A and B, broadcast two coherent signals. The separation <em>d</em> between A and B is much less than the distance <em>D</em> from the stations to the receiver R. Point P is at the same distance from A and B.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The graph shows how the intensity of the radio signal varies with position as the receiver is moved along line L. The position of the receiver is zero when the receiver is at P.</p>
<p><img 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" alt></p>
<p>(i) Deduce that the two sources A and B are 180º out-of-phase.</p>
<p>(ii) The wavelength of the radio signal is 40m. Calculate the ratio \(\frac{D}{d}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The receiver R then moves along a different line M which is at 90º to line L.</p>
<p><img 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" alt></p>
<p>Discuss the variation of the intensity of the radio signal with position as the receiver is moved along line M.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) intensity at P is zero hence complete destructive interference occurs;<br>point P is at the same distance from A and B / path difference is zero;<br>destructive interference comes from a 180º phase difference in the signals;</p>
<p>(ii) separation between minima <em>s</em>=3(km);<br>\(\frac{D}{d}\left( { = \frac{s}{\lambda } = \frac{{3000}}{{40}}} \right) = 75\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>R is always equidistant to stations A and B / signals from A and B are always out of phase;<br>intensity is always zero;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 26">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This question discriminated very well and a full range was seen in the quality of answers. Well prepared candidates showed a good understanding and ability to apply the concept of interference. Lesser prepared candidates were not able to analyse the intensity-position graph. In (a)(i), candidates repeated the question without additional information and did not gain marks in (a)(ii) because they did not have enough information. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 26">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">(b) discriminated well between, as evidenced by candidates, those that analysed the situation and those that attempted to remember some information from problems with similar context. Well prepared HL candidates realized that point P has no special position on the line M. (b) was very poorly answered at SL. The explanation of why the intensity is always zero was generally unclear and did not signify thought. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about polarized light.</p>
<p>An analyser is used with polarized light.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the function of an analyser in this context.</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>Polarized light of intensity <em>I</em><sub>0</sub> is incident on the analyser.</p>
<p>(i) The transmission axis of the analyser is at an angle of 25Ëš to the electric field of the polarized light. Calculate, in terms of <em>I</em><sub>0</sub>, the intensity of the light that leaves the analyser.</p>
<p>(ii) The angle <em>θ</em> between the transmission axis of the analyser and the electric field of the polarized light is varied. On the axes, sketch a graph to show the variation with <em>θ</em> of the intensity of the light leaving the analyser.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<div class="column">by crossing the analyser with the polarized light;<br>the angle of polarization/electric field vector can be determined;</div>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) (</span><em><span style="font-size: 12pt; font-family: 'TimesNewRoman,Italic';">I </span></em><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">= </span><em><span style="font-size: 12pt; font-family: 'TimesNewRoman,Italic';">I</span></em><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: -3.000000pt;">0</span><span style="font-size: 11.000000pt; font-family: 'Arial';">cos</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 6.000000pt;">2 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">25</span>º <span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">) 0.82</span><em><span style="font-size: 12pt; font-family: 'TimesNewRoman,Italic';">I</span></em><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: -3.000000pt;">0 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">; </span></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) cos</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 3.000000pt;">2 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">shape; </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>(allow negative intensities for this mark)</em><br> </span><span style="font-size: 11.000000pt; font-family: 'Arial';">max at 0º</span> <span style="font-size: 11.000000pt; font-family: 'Arial';">and 180º</span><span style="font-size: 11.000000pt; font-family: 'Arial';">, zero at 90º</span><span style="font-size: 11.000000pt; font-family: 'Arial';">; </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">(allow non-cos</span><span style="font-size: 7pt; font-family: 'Arial,Italic'; vertical-align: 3pt;">2 </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">line for this mark) </span></em></p>
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<img 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EAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBC4pBGovqRbH40PBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCAQCAQCAUcgiMIYCIFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCBgQRTGIAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBIApjDAQCgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoGABVEYgyAQCAQCgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEgiiMMRAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCAQCAQCQiD2KIxhEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAJBFMYYCAQCgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoHQKIwxEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAJCIEyPYxgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQBCFMQYCgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIDQKYwwEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBgBAI0+MYBoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCAQRGGMgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIjcIYA4FAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCAgBML0OIZBIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBAKBQCAQCARRGGMgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBMxqhwxCT491dHZabU2NdXZ3i3Gsstr6OqvqpUR9VVWdoegc54n7psv5VZ673l7rra7Sne57ulWyrtwX5fdIDvy9Suc55M/3fQvue+flIWd22VtUm4MHvKquslOGs8lTznBmX0+vtQvX+ro66+zqtDpdTW20qurURrWPNoNxdXURpj5wEZALvMCAkDPIVdmCMwt0euwZij098RBCOjo6rKZabSr6Uh7r1Rjr7u2xGrWV9tfU1voVDCodeYjvFIZgx7jIrkthxNcpb2dXl9XqWiVcVbr1Osb45PRFOh9nJRCLcnJxDoK+/J7+kJ+wXq4K9L7gNslOsuoayar+7VFcNX1GenfyeDn6KoXlOK7EpzpcTsrpVtoa9XIpHxn5eACZBnRnjh0wy8URSH8IcMYFfbt//3775je/aTfeeKPdeMPNGiu11tXdpWdKmCqesYHD7++W4npxgBGtCAQCgUAgEAgEAoFAIBAIBAKBQCAQ+Cgh4BzFBRJ4yERhjwgPSBuIlurebvFYImi6up3ASVxFf8ZjIIqifxq12kmWinAt0Ku0yOcfdTkRAtmSGJISTBm0vLAvRQzgSaUPJM8AiQcM6ivfaUmclDgttAgg7xnqhqQASxFXtdW11i1MvW0iiiAxsgN/ylHygpdKRBJpy6ly6r7XM9TeN+EAd+9V9gBZ3l+QhKNrc3860Sc8q0QIVqnNyI4/h3OFLEzkaaqKMIgewjKZWi1cfLyKyOsW6VgrIhIyr1e4prFVtMzDvBbVp/E2aIOLiIrx2iv56A+civE2cE/PeN95sSRQjZLN20GLJIOP7SIv+csupeee9vCcUWWP/lX3qg052svma3B35tjB831UYvqMmf5CqyPod8YA42PVqlX24osv2u7de2z2rNk2bdoM/ehRJ4y7+vQ5aSmXa7hAIBAIBAKBQCAQCAQCgUAgEAgEAoFA4EIjkNe6F6pemLchOQgYhHWtQmluQYgkMkQLam6c0mFxXXwqvM6i5PDTrspCdsrgKueki26cJqKcIpz6+wM25AW91+nVlUTuI1oR5Zec1uXo0zBFc38m917xap5IrBppjVVJY6xbWpS0EWwTV5Hyo52W+4DaXDNO8pT5DKV776rOJOgvJ05tqJNmKsLn9tF2SLJM2gA7frTyaHApnDFDuMYmxKBr34m8qynGqpenspwwVFh3dy6TxyDjS+nFp8KbghSQw5QquRyWxqKPP+EOoYfrUR30H/1CGyCroHKTqCKh3A8hmdKnMgf+LpONPGuJ8IKcTHk/ip09cDvPdWh+T9A39MGp9nZ74oknbPPmrfbcc8/Zm2+u0HusQzhqrNQmTVYfU4Ug3qfnWqgoLxAIBAKBQCAQCAQCgUAgEAgEAoFAIBD4ECIwZKIQs1hIijoRVl0y40wabgXZAXkDgQF3kT8DNT7H5WtlmlwGPExBuhCdicG86K+85rjKYgb0D1RfTkhcSeiKhB5eJKoI9pD+94NxPv3TFcX1v0AIQWKhTVhbU+tEWCYrIJycNBS+rg1XkB85nrJIw+c0N1DYaYnOQwD1Vn4Gq0JpaLM63OXvlimoeDQn18gC0Qfxll1uc4abex8DumJiivkyFXd1dumTxquTbSoUwihpxFJaGctcptdxmswEZNc/UveM1ZIwKR3lpTIrNdNSOZ5WX06CSp4SRmTNxbtHt7rHZJn2OQbUpXHCfaojy3XpXstY98Ugh2dtwpekSbhixQqNq059uuypp5+2ffv2WvupDmhbH2fZFL1vSXEXCAQCgUAgEAgEAoFAIBAIBAKBQCAQCFzcCAyZKIS/QKutSwSHqBAnKyAt0JiCMEkuESLuJ6zyU6SoYERKIZRNmYn0kd9JMQ9UPYko8jhywKAULhEy+W6Qa1G210vWyk8pS6WgRWOKS0pSrrOUZSBPZdmepQjoH15xTxs6RWzRTvbk65FGIXunQRKBLX7XShPWGWjHQrekSa7iWlE2jT0rjAZqC2G52OyvLPtM/v4g57S5ntI95uyQgdqPUO1Ga46s3RpjtJt2Qo7RTogcCGrCfHyIQESL0J3y0E7yAAlEnOchTEQk910qH5KIe/+ozpQujy+V5MUVwhWXPk2pDMttUSbqTjinMYwc1JGfDb8WDwNtxaXxTIFyfqnwZy/kOxjQ18hbkKaOC4GkG+QDDqlcKrj4nOPtjRy4bU78Kf7AgQP26KOPOkk8fPhwu+mmm23D+g0iDt9WnzFOCiJaeHo/aqyECwQCgUAgEAgEAoFAIBAIBAKBQCAQCAQuFQSGvEch2jknT560v/3//tb27N1jDQ2N9ju/89t22WUTnbjpQ3yIocjr7zJbUZA6JaRhMuBmUniJANLivqwFpsNMlMy3KnTCJKXNBFEiZzLposKUOJXqRZe/isAqmRqmPIl88YMoPBUJUtm5zNMLUppSOUXRxT0y4uBuBnKlMgeKVKGQZRTReeKEvf7GG/bETx63Wpl3X3/D9XbbrbfZsGGNngYZE3Gq1ByiUdFe540UTBtPc1nA0yLeO4CsqY8GKHeA7KdXVeSTuFXI7K5cFpqp9H1NVY0dO37c3njjdXte5qEHDx3y8MlTpthtt91mixcv9h6CJMwmyoAGtmDSKxJtz9699m8//IFt27bNZmgPui9+6Ys2fvx41dhrJ4+32fMvvGDPLn/WRgwfYR+75Ra75rrrrEFmz4y3NH6RL8tGuUna9J3uvY8dbHCBlCwIbuXrVftOnDxh3/vud+2dd9/VATX19sn77rWli5fY8OGFebny+ljPhau/vFbqcn+SgXYljUrI0WR27sSmE1mKk+ZpxUNWKWhff5829I36qN8lyPwb9E9rDiFv6Hl67bXX7Oabb7HXX39Nh5ncYD899jN7+umn7AY9X8OaGp0wTv2vLpAWKyRjvj+t0AgIBAKBQCAQCAQCgUAgEAgEAoFAIBAIBM43Ak4+nO9KUvlDJgpZiGMm+ovlz9i2zVtEfAy3r3/9122iiELxLCXnC3Zfs0OcJCKnb/sqFvQQRwWx1aNTXfPiPGl8ddleET/vvPOO1dfX21VXX20jRoxwLTLfq66osQ/porCBSDmvQkIkeaCCpI3Guc2qvpw+ydX/vtSwEhGhchSYyLMsREWqiubl0MwJ5fvTrwjCfnY9tmXLFvv3//gPP8G3eeRIu+Xmmz25ax2q5lOnTtnaNWtt/Yb1NmPmTLv26mtcWwq5M36nl/9BQwZoVFHkwG3LWJbrBS/GRt+xkMyL0bjbvWeXffvhb9sLL71k24QB7WRgjR4zxhbMnW+Lr7jCiTNKTOVA6LCfY9pvsEpk66HDh+255c/ZylUrbcmSJXb/Z+53AZCRferWrl1rTz7xpI0TeThl6hS78sorTYOrNE4puezS+C1jmu6JZ7inlMlsNWul0TaekRUr3lIf/rsnWiKCE6KQOEhFyL5sEutY6Bko1SpPL4O1FGB6BvZJ7jW24u237de/9jUbOXKU5JXW28DAl8W/yH30Qe4JJ4qFbRoXqU+6hc+RI0fs2WeftZaWFmkS3qh3yds2atRYu+F6kYU//akIxFecQGxqGpbQUh6IQnQKU/kpOL4DgUAgEAgEAoFAIBAIBAKBQCAQCAQCgYsVgSETha7dpKV4T2e3nRSJM2r06ESyQWo445EgY4HtimP6StptlUvuCrKlIhjOgyIy6QdxtH79env0R49Kw+51WyZCZ8HChdbc3FzSJisRegVhUrofoOdcRGgEeXK6RCoUMqtu0uCyWGiH5dCkxefRqampwFJAiUxyWagnlebf+krxueSU7fRv4SViDI25dpFa5HHNSV0hwzjHA+Ljueeft0d++EM7evSIPfDAA3bVsmVOPOXyqLqiO0rtyfHn6lo0sSgutZebvuEJ79yvyAWulfKBLSbtTzz5pD362GO2c9dOySwcVBBjDk3BBmlUuiah0lEWZFtVDXWmdI6PNBIh7NDogxTsaNf+c8Iza6ciG6bL7LXJQRac2K1Irxuh3Yy76KssL/2f28N4SYOkPC4AFzmRN7eJdO0d7d6H7JWIlLQvlZM01ZAh7UVJX5GCcop+K8Yd5Rw+dNi+/a/ftpdeetlOtp2wLzz0BRs+gpN8tY+la7151gG/3mu0DZjpIxWoFvqAAjuR7CKNQbJGPwD4fz0zaBJu2LDBPv/5z9sUaaam56jKbrzppuI5+rHNnj3HWltbSuQtuHIYTurXjxQgIWwgEAgEAoFAIBAIBAKBQCAQCAQCgUAg8L4RGDJRyCq8SebG3/i9bzgJMmxYU9ImRJ2wzJK4QGh6OclTkB6QNYkISVcSZSIo+ZMOD8VA0kDobN261V555RXbsn2rzVswvyhPWo0s5JXGiUv5cZnYcfJEi3yca26x4Pc7NNlY/IuUUhj1UL9yFn4InEQOpDDIKAgZkU9OyJRNPykutU35VZCKUmH6yJ/SUqY+yKE6vP7iK8tAfHtHp0xTaz1tOhim1xqF700iMcZPmCCNwlonN2pra32vu2z6vXr1KmmsvemkKRqIOIjVWp3eijBI5CSHC0YAHsnhJrKk9ohyODjoPzIVDSniuK3QrSqyUUIun6zgRJ9AfOHAAIfcGQ/27MMM19EAC2FN2d4FyKOwH/3oR7b/wH7rFhF98y032yc/+UlrHDbMmkQSLr78cifyKA8cGE9o7nFiLXlxftCHtz4JCg7V3qfE9koTb6TdKzPgRSqrsaHeZsyYaY0yO6Yc5OIgFMRSSY5FIjSTH2iQlXZQH3spOlzITnWKRAzv91ynAsjDOEhyKI0CanSydV2tTnku8rmH8tU2xhX3fjqzSjx85LD97Gc/sz27d0ubdqRikpxpnJOJWnEUdmk6H2PCrUZYsH9qetf02vG2NvvJT35iY6SRinYpzwjPP2b+ra2tMkG+UfGP+bM0ceIEHx/0T+qDSiyFbepsBdKplXHhDwQCgUAgEAgEAoFAIBAIBAKBQCAQCATONQIXdo0/ZKKQRXSdzDQx24P0QSuroaEhkSHJtjcho/aw2GYBzz5qVVqcZ0IrETIQcnAcmGFyoESxRx8LcF+QJxIQrbrjJ9qsuyNpfzlJBOmCap0c+RO55bd+T37C+eQ0aIohHgeFJBIBgirV4YmcB5BMkiM7Jx+QRf+9XpELmENDUsEUtOtE3QZh4OkU5sSNtzvJ5rwNdYrIKxFYkr1bBCiyQTTVKV+H7msVTjsIA7cZM2bYlMmTnY+A1Kivb0hiQsjKtZ9q116Rp2yEtCuTg8ySqMpLG9Cqo50uPAkKPKjD6SzwUDzYE+cHiOieNiA3ZeEnLQSXtyVV5OkJcNwdroQ1pKALTK3elnTIDW1F06texBgkject6kJetOk4oAMCbr9MbDt0Ci3k35e+9CXfn5FxBmHqfa62gQ9lOvmWuiLJV+46l5TWZ4GQh0+DyMHZs2bZ7NbWQlRhrvGJth8BlKv/no9DTyB1c330I37w8LYrA3ApSBkT1uCWhJFWm/yenng5sOSfk7mOXw5XQvKp3kxK03f4IcvRSMQE+7j2VxyufRVrhHNqP/1VMf697lTmJfMtzLqlmZmeyQRAvXDjMeY5W/7scluzZo194Qtf0D6ql9mOHTu876qkeUo/3HnnHb5PIT9GXKe9KrO2Mvj5jxF0LuPBi8ZTuEsR69z2uAYCgUAgEAgEAoFAIBAIBAKBQCAQCJx/BC7wurOgLt5/u9y8T1o5DSKuakXe1Ekbi0U6pE0mSJwO0UodwgWipVMkHw5yo1PkGqa0HbpCsCUyKxEqiTQqyCqldSJI+Tsw4dSin8U6ZXSpfvJ6mcU13ZRJpFQ2i3ykkSsW+4RDSkLgQPZQXslRp8Kol3TEkQ5tM0gj7lP+dLhKrdJy76QReZ14I1/K2yltQUWm4hXv2EH8uPYawQCk7fFE/EDUKUkqS4F1OsSkaXiTsW8aftJRPsRQlgOZXB7Vl64qgDKUzokvakiFen4Br2v+JLEcY/Uf5UMawnfRZ+4oh35VmH9Rlv7nMvLJvQSWTXZTndSL9hb9i2y1al+n5O1U+x13mBwvNxE61HDieDIX7u7p8jG1ZOkSG9U80nHw5JK9lr0EXQhyIEq/PkzBFd+K55/koa2Y60K6NjQO84N4ILmdZKJpSoO8ucvSGNHhMiKiaEuuK19pSwFIaova4/3j5CuEq8YRfaNUoja9uWgsUgEEO2VCBII7ZCD+7FK/IRPlKH3xDLUrnyT0cCcJc/8UWJYEyQVd7FfGKFqr6js/0ZpxxxhV+P79B+zJJ59wgvCqq67Ss9Tk4zk9az3S6Ky3lpZW+9SnPuX7VrIPajt7YsrRx2nsC1iVFS4QCAQCgUAgEAgEAoFAIBAIBAKBQCAQuJgRGLJGoRN/Inz27NktLbCkXTd23DgbrkU45AYkHBqAx44edUJj1OhRbmK5atVqe/W1V+3ll192zahhImgW6WCKa3Q4ybz582z0qNFOyKFJxoEmR48dtT3ap+7gwYNONEm9R2HHbNfOnU6ojNbeiGj/JJInEVXsSbdNpspv68AHTjndLVNNFvvTpk2zBQsW6CCMxTZTmnocwOLEEUROQfShPcdpu8ePHXdyh7KbRzTbtu3bVN47OoF3ucrb4+XNbJkpua+xJcuW2oRx4928lsECceMkhMrCHdahGm/p4IR3lX/16tXaM+8UR6fYxIkTbcnSpTZ//nybNXuW6hnhBFotmlAijcCQPfYOHTzkhB/yjtLhFZ3dnXbk8BFvl2tZqh4IJPaw27FzhzWJ/OLQDxwHevSon5qUF3PbRDZKww8SSw5cEhmF+XOHHRO2nGbNgTHUN0zmvqRxgkzXvE8iRJRrHYr4ci1EcSiuManwEzqtOR888/rrr7tM4MvhM1cI+2VLltqceXOsfhQHh4i8UzsxwW1TvkNqw6EDB3xfwVppHqJFeUBETyKWq23s+HFWq3/I78Q0ZJDKgETLB+F4wwb6KkhANMwg7tpkjnpYOGK63jxqlI2UfJQDoZi1BiEHt2/fbiveXOH7Y+7elcbSTB0cc80119iiRYu0P+coO3nipBPZaPoNHzHcx7oTTMID59qHuopOlql+h8bTDpnSv2xvvfmWmxQ3NDbavLlz7QaZwLao7LFjxzpJBT4QzYzhvfqgUUhYnYhGzPGPHRvjmrzjhEsdmpw4sFAb+rvTQ/qn+AjfCxMnbtV2Wp/HrEas99vadevsazr8Zcb06TKLT9q6kK88Y/DhdTX1Ok37dlu+/Fl76qmn/LCk+oI89ucjQ5PHWr6PayAQCAQCgUAgEAgEAoFAIBAIBAKBQCBwHhFIrMJ5rKBf0UMmCtFU62xrt7/8y7+0XSJPRohU+tM/+VNrmjlDC/ZqET1t9vhPHrfHHv2xyJ3x9plP3+8k1KOPPWob1m+0fXv3SDuwUwv0Wnvr7bfsmWeesY997BbX6pmp/eIwQW0T0fi0Fu3f+e53REju0d5se5wwepmTcLdtcwLvno/fY5/97Ged1IIw2iZSh4X+8uXLbfPmzU7SnZJpLtp1aI0RDhFzz9332K233WrjRfBVV2dzZ4i9Knv11Vfthzog5MihI/bgQw+6BhKnoq5auVL17hDRA1ljNkIk5PJnn7NlS5fZQ1/8gl2h/e4g4ojj0A0IPUwZf/j9H7qm0r79+5wUgmyDfICIeOGlF12GW9T2ez95rxOYiWCSWXH7CZf34f/1sJOQ99xzj93/2c8Iu732nX/9jsjWl9yEEg20I4eP2ve+/z176umnvH2f+dzn3Bz6e9/9rm3bsd0JrQcffNCJUggVHDJkghRtT05YZm/At956S4c6zPbDURbp0BhSo4WX8kE3pfzcQyBC2EFUoiXHvoI/f+rnbuq5YeMGOyDSDxKNtJjKgi0E6bXXXmv3a0xQT6P2HYSkfFIHmHz/e993LbsOkb1oH54Qaflnf/ZnXiXE5W/8xn+y66+/zrXHaHfCG8DR6EQDUn4XWN5+DhnAluYfOnTUTzx+XAemNI/SfoX33mt33XWX9kBsckwwNz10+JC9oMNinnjiCVuzdq0dPHTQTukQEbCAgH5Rfbdo4SKbM2euDslYbxs3bbKbtackh8pMmz7Na4d0RB6whsI6IbPhp5962h5/8nHl2SgT672uGYvIHLbBeL/jrjvts5/5rO/5ibn1to3b7C//3//HdspclgNseDYOar/CP/nTP3Gz/0mTJ9lf/PlfpH0V1TioTnc09BJyYEz/cuXD+ID4fu6556ylpcXH3EgRwnkcuEaxIEJTuKGxThqHEzW2brDH9I566cUX7RMf/7h1F6SiIwm2fFQ2gwg/9YQLBAKBQCAQCAQCgUAgEAgEAoFAIBAIBC4WBIZMFKJNViOT49XSENyyZbONkiYgZpRuVtudtMT2igx8c8UKGztaWk8iPFbp4I1tW7Zam7Tk4DLQ6uru6LK9nSLQpEl28OABJ0Eg3S6bMNHTHDp0yN6RJl7SpEp75RGGViEmhMuuXOZkFYQXZOKPf/xj+8njPzE0vyAJMulGh6GVhhbZ/n37bLuIxqPSdrzv05+ySRMvk9xJIw5NxoMHDtq7777r8ROfnWhbNm+xTZs3+b1EdoIAggztN0iwXbt3OdH127/z2zZt6lQn9ah3/8799s//43/ayzqlFi07nJsJqxA0CiHnMHGEAPWDO9SGL33xizZ50mRvEyQEmoMrhGG99tRbtGih8NIpvSLRtkibDO1M2kS69lOSY+cu27dPB4CI+DgmQmmMCFHMYt+VKSUamfPmzbeZIkxKZrYukWBWvZAe69evtxdefME2bdzk2pekgwbh4wSMtK8ktvoomd9m02awgNTbA4H5ne/4oRH4aRvyZUIF0uyk8AdfNOR2iNT93d/9322W9gpEqw8Z16xdY0ePHHUCEPNaHP0P6TN6zGhpex5zIo8tCTPh6omUH9nox5LTPa4UxL2nkSSSmUNB3hC2EyeM97020T5jHIHnCeH5nMjrh//1X22dtNHoPzT7IMjr9OFwjE0iBum7N15/zcfjQY3L6SIIT4pI5hRl9lL08grcwGH5c8udgNy0abM0ao8hju/1iRn6Po3fI9IA3bNvr2uXfu5zD7hmIoTlWmmi7pAWLf1Zq3312jXu1qxe49qYHHLSJdIdLdDkILEK7yVyAVscfQfmuHqR9r8QUb9x40bf53LSpEkez1j28aznsEZmx/jR4B0mTdybbrrR/uPf/93J4YUiyWdrbDJ+fG9TXb0e1ZXro55wgUAgEAgEAoFAIBAIBAKBQCAQCAQCgcDFgsCQiUIAYFEOSZT3CuTe93/ToRQsrru13xraT/ulVfbMs8/4Av4aaYPdduutNmf2HCfZ0CZEWw8Nwf3799uL0uTBDHncmLEqo9dPKV2wcIG06PaLCNyF4phN0CnAE6SVBjGCn+txmQs/+uij9sMf/MAJK8xcb775ZmkIXW+YiaL1BjlF+W+8/obMSXfYI4884lpEt91+u43UHngs/jGDpU3IfVRaek/9/Ck/XKOltdV+7Y47bfGSxU7ebBZ5+OQTT4oIfUtpe+15aZ7ddtttNnXyFCeTKOdH0qbEtBRCaIFIh3vuvtuWytS4sbHBia+10lJDw/FFaUju0+EdT6uuO1XGRJGkznuI+8DEtkMkEIdviNHwcYdJ7gwRUgsXLLTdMv3eL3KQPSLHi/AaK9ymy6wac+lJOgSF/f3QfDsgbNfpMIdDN99kk0REel8V5ArECubGEF87hAtaehyiMk6m5OBGWlwiSQrSUGGQd8RDrqJRiDYjJO0+aRVyKMsyYc+ecGA2rGGYZN2lcfCsE6eQvcuXP6e+a7BvfOMbLvtkYTdX5reQr5hocxowpOe8BfNcW665eUTaX051Qu5QP4hAETmRU7QHWXFI7WeLVF4h7TwmEUuYZXd3yXRbpCRmxhCyuDWq/yfa127NmtU0XCbTVxganQt04jaai+vUdz9Xe1cpHWOJvTYhyel3iFdqAS+0KDmARZGO1RtvviET52a7QQdm3CBSqqVFxK0wQNOS52Dd+nVuVv+DHz5iN2n8NsokeZS04ObKPB2T5vUbNthJEbDNMnGeO2+ut7tFfeXNcskvzS/GKOOBg3TAnWcY7UveCZhxz5s3z83ofQwLIghsnJJ6Wt4hPGtsT3D3PXf7u4EfC6ZMmeLPA+M85yVf5fPDfbhAIBAIBAKBQCAQCAQCgUAgEAgEAoFA4GJA4AMRhZBpsDRox6GRk7R0RJFALLm2To0vvlmUN/c22yc+8Qk3qZw9e5a0d2TiqTTzRbyw198//dM/2cp3VzrJt3X7Nrv6mqutsaExkSki6TABffjhh92UddmyK+1LX/6Sm7CyRyHkwJtvvmkvvPCC7ZW24GRpDt2ngwnuvutuNwEdroNAMDNEK3HJkiX2s5/9zB75t3/zfQdfevFlu1wkEMQaREA+VIV2IR97BN4kc9IvPPSQXbF4sWtHchDGQpmczpeG3t//t7+3l7TfItpwq9assjvvusPqexLZhGbSocMHHZevfuUrTlxCbPb2pv0B2S9xjsgetAHZE2/2nDkygWz09Awu14wSlBLFCShwRksN8uKrv/qrdvPHPmaPiBh99NHHDBw+c/9n7K4777QRI5uN/SLZ/3HWrNnCYLqtfOdd2yoyFrJ0sghEL9P7KZG7nAILOYdG2xWLr3DCbrgOUcFBpkgCJ79KjJTCpFfl//BtlBntz//j59Lk3OWEza988pP24AMPWmtrq5uFc+DNos5FtnjxErtS/feP3/qmNOREHEpr70YRZvfdd59dffVVwnSuk76/9vWvW6dOdK5rqLM//uM/9v5RNU4Q+x6OIoLQKEzkjdoAM3cWjjFKOSSHTPJWSEMwneicysNc+lWZAaOJ2S4twiuXLbOvqP+uufYa3w8T8hLyep4+P/rBI/bzXzxlndpHEuNiJ5B0LZFKGndu4iqNy06RkdR7p0yLPy2za8Y9fcQhHK2zWm28TPT/69//V5kY77RNG2TKLFJwyqQprqX4e//XN2yrtHH/8L/8kXWJlG1WH//e7/++jdG+k/V6TppEPud+ck+66YMI3XiWMPXJ91G5cZJQwqLp2tnZY8+KlOak4y+ipcuYp+815ukjyHDwQBOTZ54Pp5+PEAF7q37I4F2C+fG1116n98yE0jNJnuwoZyBXmYb4gVMNlDPCAoFAIBAIBAKBQCAQCAQCgUDgfCHQf54+lHrOx9x+ILnORz1DaW/kuTQR+ABEIUMXEz8RIcVSGLIwm7GyCu+SthYOra/JUya5WS0kIYdfuCaaDhBgEY6WHdpx7NnWJVLx8EGZUorEaRKJMm70WGuUts+6dWt9cU99I3XACPsYTmHxL0IEM+T169aLSNniWmho9rHf37RpU10jS7SN9VT1aC+8Ya4xdP+nPy1NvxW2RcTZy6+8bL9y7694eU4iSVYIwiqRBlzZs+4hkYQ36pCJBhEytAtCYpT2tbv8ikV2+eWLRHC+K3PgU3ZQh27QfsyLKWu79gZEywkZId3Q0EMzEIIV2m3s2EZbKuLyD//ov/g9Wo1oP+EgIUAYDTUce+ZBuKIhh0nwpMsucyKxWXlwmIGPV/mQjWhH1ah+CKppUybbQmmjYaa6ectmaQ1utsWXX2H1IpYwj6U9yMr+i2jRQU6yL+Ec9VO9NPrYjy1JQi1QYYkMIx396LFqz/MiVtCQPNF20g/5+Lz2Q5wrLa7R0oajLfQnZrvTpbH16fs/7XtJ/vCHP5Cm40Hfx/GmG24SCTjBMdonsrdeZOypXh2qojpaZra4Vh3lOJGrq8R22Xs15hwopMNfOLT7FFB8hKHIWfLnvtWN82k+dhm3+of5M/kgVF975VWXbfacWfYZ7Qt5w4036KCe4UljrV6nUasfl4n0xHx8+64dnr5bpJPjobJVYcnPc8CzUStyarH2sbxbZO7ChfOFh065Vp2MJ8yf77r7LntCexdiGn9Mps1btm5xwry5vllaotN9DIBhl7BHYxNNQohn6qIPqQOnVjjxqaKTc09qWxFyUV7Q9KT/eL727d2t/R5/rudkop5d9Z00jCEKOchGnKBj5bBoXFTpdO0qXWvENneor6bqvXLXnXfY97//A3tTe1Hecfvt3k/g7Ob2Mv12lL2f5aOgwp+ATc9s2U9HpM6ojEnxOSbfDXYdKOdgaSM8EAgEAoFAIBAIBAKBQCAQCARORyDNyU8PzyHEn828O6d5r/IoN6dNdVTe5dwsJZKiSRGiC2u6yrQpN8UNGFqKDs/FigAKT3nEnP82Dp0orBDSh7APWAYtH0iJREDRlGFNja6hhmks2nhohHUrQSJ+qv0gFOLqFI6ZbXtnexr/lKHTcDHfrK2u9UcFahJShNNwEYHPSe0ft0uabGjDjR07zubNmeskInuO4Ujj6Vms6+CSieMn+GnFK1dxOMk2W7tmrZ+EnDToat3MFUKJlnBQBRp8jSqLetE8Q27aiVmomybK7BezxWM6oblL5tbgAWnT2tLi+y5C9v3DP/yDtB332vy582zK1Cl+KvEoaYNB+rFHHy6Rp2lfOw/Ql8suYsK1pbgRSYRzslUkmsuj+hTj2oa1tYmEdVJMFO44mTGjVdgss1X20Nu4caMTq2PRqFImyBVOKF61apXt3bNXZsmTpPW32A9YoR7KgRzJzu+Vh36BuIQ45BTnt99a4dqeaADedvttvhciWpr0HaRivfo2k54QbmhtPSttwqPa5xESk70Hx44fK3Ky3st0KhWcVXXu71R3GmHI41J5GqQoO3qn8r58o5g+kUqlewhVv+oLs14Oddm4aaPueq2ldZYtFSHIidSudVhUU6exIJthEb1LbZE0Q9/WATCYLlMOrhgi6ca/qzQ2Otx0ebpM4TEfF4z+LLjmqNKMV/unyCy8XuOpXftQUj9trheGFAs5mFrKXa/KwASbZ638vHlVfBUAkJ/MVSLB+mBSSnhxeLydtFGDGvJ1nX444GR0tAmnTp3qJLA/OwUebiIOjDjhmohvdYjC0H699ppr7emnf6EDdp6w66+7Vs+6TugmbemLsaMbHiJdCU74egJSyiU/4fgqY4itdClvZUj4A4FAIBAIBAKBQCAQCAQCgUDg3CKgGTmaN4O5PHEfLF7hrKuyy758zeH5mmvKV9J5FVo/sIxIzkMKudK6wtcZiuwtreFKiS/qNV1GJK6/fASGThRqiDr14E8FA1cfmI9i6PoQFwFDdHVNnTR7JrmGGqSPhykt62z2loP0QnPPT62VNpAnIJIipY9IHtQSnQyA1FECSBvyQQxwKAkmrx3tHe5/XIv7t2U2Skq0yrg6wVI8jRAJmzZtsrZjbW5+umPnDj/RtlmaipQHaUBdtGqyNJKGSRORcI8T+eZX7UvIS2LU6FGu6UV6tObIBPEEGfrAgw+4eTOmpGjz/ff/9t9t1JhR0qqb7vnY9+6G624wzE7RAkxkB7wF2CI7ZUlDsTBVdtNJ2oJgtAgPkOOUljY6man83ZKvRhiNah7hZrKts2fbK9oLcdXKdyXLFu1lOMY1QavVBrBYKY1CyKnF0nBcNH9B0sRMFXk/8eWEoeqhV5FVPeBd7gfR7D/kxOEEEb6YLqMZCfEJcYqZJ2a+EDDIidbXDGkWomG5Xia2h0XwnpT5NWQo+x06vipfSUmc+h/8uc9X/IXL4aV75QGN/CFn+pdTDHwlB2MIjUYOVGmQ1iUk03hp7UFwIzxjFPm6tK8h0KNZOkv7bY4XQe2nO1MTMrpQqR7qpjHqErtMRCB7LXo/CZ+UMB0OQ+oRGoOA6nSwvvzvkMa5HpTUHBJRuMsB/sLL20swzxZtLyf1m1JIiiuHXTw+MHdtQTQupSnLM/txbXVwtU7XZg9I0dXqA+ElrKr8mkaEfobQ+0laviLj9WRbrbSGIfknSxv5/s/cL63jLTINV0/Tn/3hq+hk6nfnaXLCIszjfBSkJKX+GihPKia+A4FAIBAIBAKBQCAQCAQCgUDgPCDA3LyYj5dK92l5MTcvBQ7gOdt0fbKWy00+rUd8caFEkiWt33Qt1hOZh6CItGLJhZE7rzNyWFwDgfODwAcgChGIwVo58DWUS4vigkhUCgiVOp16zP57EC6QX55OWTHxxflCX0v1WsIKDTZ/MFRe0uRSecUDzeNBeogzSKf2jnZrOyHST+VyGu0bMhd8SxpenlxfpRNLVS6yQAhABhAPQcehB+wRSH3UAbUIaQURVieyCJNjTD6RA60xP2SjKpu5prJog2t8qQ6ulHPH7XdKY3G7ffvb35YZ6z5rbxAJpYM+ODCkVlpjb7z2usfN0QEed91xp91+5x2uXUn5wFhA6Ra0mDODVHqBEAlpRUh6XWRMyJT9+dTdudKKvObKq9yMco3Mg9nP8QqZwDYNH25tOgSGU313ar/AZpFeVyy63MYVp0CrkvTfy1Sp+p/ISiGl9kH+1UjTk30c27vaXRaILg7fgChFPshCtDMhAMnvLz6RW43aN3KECDMOMznedtxOnTzl5Bl9n9tFB6X0KYx20b5K1/cuxxCqDxk8E+GEJZKPu+wozseSPIwOThU+xZ6RGh/DNF4hM7kiBwQuBB9jLo0HafopfOzYMcJulKljy8StKsjlel0aeDXdMlkWaVpbp30JIfgKGfHTLsYkcnr7XXbV6QSlQlU3f1K8Of5FuqI9FZhQJjKVm12Up5IJv1idY62+AZPa2l4/fGa+ND2bpAnMKdUCEGjT+KWvHTNhpSuvIMYn6IARYxxtYTRj26Uti6ZxSq8EDCN9le65LVyK4ptPgXVxqQgZMO/F2zMZnbgGAoFAIBAIBAKBQCAQCAQCv3wE0jLAZ+4DC+MJBo5iip9XWpUllP3ylW+Sl4l+DsuT/nzv1ZCnHFC5zvDQnKcQqd/tIIJG8MWGQHmEXJiWfSCiEGErB3IWmTBItUz41Yj4ahgGSSiTY8glriJFnOjQotwJLT1yaE8x8CH2eJj8IeCaUVG5+CkfMg9ixf2eXqSUNNbQYDsp0slNh0Ucoj2ImTOuRoSMP9jSziK/JPS627XPHGVh9sypt+zvRz06+9g1kyARkLuqTibPIhBVaUl2yoPogUDqIY/SVSs9ZrloG3LoynSdUPyyDjx5R1qOmzZucmKtrqPOdrSdcC273bt22+qVq3R4xrv2a7/2azp8ZKqX6TKLKILjqPZ90RyW9CUBHRfJkpwkEYCppbRL8Wo3OIweM9oWL1tqra2tbpIJWbhn336bLrPnfToNmfvDRw7bLMW3SLsRjTf6DozQSvT2Ci0nUahMVeKHLMPPib+QK+ShL0nvCnCSx/cU5EYJXTry6h9kKN1C/9Df3ZIToreGwKJN3rLC722s9HtAvy/iPb9Xp2IqCR0vrVQMSYlPLl19vCp/j7QFicM8uI7+BgvIwapaH7e0nXGQ8JVfbc5aoFQPJt4GXekj/yjcCWg3+WZMqq3q01wnqIAd4em5UJ2SgTHtzmVVe4ri8ZTETylK3+V2FUFFQvVOKc3F5snvlWRCXOv7SdJnYJk0hNEd1POvvUrBx58V+XnKdQay4NRzJh956DA3gW+s0unSI/3AE+IccPdoBHtHE/geztOnNBXevplS4X3DTrsbNPdpKSMgEAgEAoFAIBAIBAKBQCAQCAQGQSAvogabz+d4svdPoyl5WpGlsgecoef8rAu1xvNFRkqe/L6IzwF9o98rlPXIgHWWM4bvYkUgj6sL1L4PRBT6wrkQ1BffFULnBTdBmOJCUbAGhyCEZEmaWXpwePiK0Q5RkkkOFvg53BflPJQFODxz7tc9JBNEDZ8OEX5z5syxe++91+brAA/XRCzKdk04pYWM4sARykSbEELvMmnQTZGJKSQhcU5cifDDTxtJWyKxaA8NUbkQXrQj+WmnSAjdo5WGPJgic9rq3ffcY9ffcIMd0h6BmzdvtrdWvGXPP/ecrVu/3qqV52S79ljUacQ//fefak/Bcfb1X/+6NUnjjn3UOAjDXwdFO3jX0P6MDd7kHCCX1SVTItrh7VYC9kHk1OYtW7fZNn04HGaCTtndrtOO2ZOvQ6f7trS22gwdEsOhG7QbEs+xVv5UZ7pXQxMhqjbSZrTknFBT+pMnT0qGpHHn/SYZnADjEAmlp18J79I46NIhEqekDTpeJ/jWi7SkTz1PbqtjW9EuxZfSFK12uQq/MmdfuhbllEIr7tO+fqUYT6/iXRMSE2nqQXuU9kBCYb5K8Z6jkBNZ+UA00+fZkSZ/CPN0CiGMcUHfMW4gCYnLbUI87kt9rns/DEdpwZl8Xi6CIoMCuK90uazKMBXa5/ZivEnPYTE+aKAw4x/Pd0mLWcEgAc6Qv7xi0o2j6j8y+NjXH+8e9WctPyywxYC/vfwNRs5USAl56kzBH+T74u+hD4JO5A0EAoFAIBAIBAKBQCAQCATODQJ56j7Y/Jt41mRncrmMAdMMkpcSPV+fxUNFPTlfn/giU2WyASuNwIsdgTOOufPQ+A9IFOohKiQuXRFSYUnDjPU42nlo8BEuTR2RcxBtThSK/IAAcRJE0YlKIRkESCJQyIYjrPKTQtNDzIEgI3RwRm1h1nyZTgS+7rrrXBsw5/X0evgg/HKYEzi6p1yIKlwms7LfNQkVDxnmchUPcH55EIb83OPHudmtiIoGEaIQPZzSPEKHYYwXMTd37lw/KOE//8Zv2CHtzffYo4/aS6+8Yqt0cvLBgwft0R8/Zp/93Odk+pjkQV400fykZNVR8Y7wuvjyelV1pQyQlISDM/JhQrtQpxm/8MKLxp6MGzZs0InNl/spyNtlCs2Jy/PmLdAp1BO9XG+f8uK8f2hfcY8M4NSjOiAjMTX2e9XDfpGYMc+ZMzftc6g8lJU18JykVX7SsacfcWCDeS9YgR3O66+4euAA9zl8oCty5nEJMZQdPj/co+ivHO5yyiR8hA5+wfS8TWbs+2UqzgEnzcNHeFkSl8yOLfiS58CBA77Posucq/GE5T5JYyOlh7zCkR5sneQq7vF7ueppD6+Q0csv0pE//aVxX/pSeUm8VE9FDJW53H3CLqIbJ+iFK/0GphCy7LnJc8u9k4I6yKiXLQZ4J6ntQl7fvGtECGrfQghFfgPg9GxgT5/UD5DfuQ/PDrY8EIrUVOi15txUkP1xDQQCgUAgEAgEAoFAIBAIBAKBC4FAXlN5XcWarbJen7b3CegXUrE+q0x22lyfyGINkEvgWrkEYPWWw5JP8S5TSqVVZ98MfSuMu0DgvCEwZKIwD/aSZOWVtR6IRICw0k6mlGmgcygH+Zx4KjKy+IYQ4UO4a+uVCk0e0uQPITzcTrJAhikfRNX48eOsTiTPsWPHfM9BykLLLZNbyETddcikfBzewWm/E3RQBdp2DUV4IqpS66jTNcCSGJ4v31N+JiVIh+MeEgiSDrprrUx692tvwlOn2u2WW27xeGSqnzjBMZooQvOySZfZsmXL7I/++I9tn+Rhr8WDMgceN2asY1KHWbPKyu0vqqK65FLV7vd3CtjzkXzICk7kbWpqstbWVtdwXKNTnrdt2y6twg32rgjKvXv22dJlS5xIRJMR02scZeS+yfhRFuGU66SqruxLOE2HkwzXnofs94iZNW0CDxxkDQdNMB7ID/7Uu1On0uIgdsnr2Coel/uY61DcQLn6hqV6ePlmbKmqQXtpTtTBO2NGjxYBeNC1L/ft2WNjR49Re9ECTEQepCaycfAJpOtx7fXIAKMsHHVVyp7qSPHgQhxhTgZ6Ds+gfElDNud103nhxT1py7KmPs7EK0VQM5/KdpbkoXEXsWNM8WzRSsYR91wz7g4M6IrwQ8PZtYVFGgJLb1eVSSfU+76zU9sQKF2Db2OQCN3UX/zoIXSL/i2BnLq7jKzDzBdpi+BSWDmZ9xIsdk5TGRX+QCAQCAQCgUAgEAgEAoFAIBA4Pwj0WxfldVeqjNWhT95Pq9vTsX6rjMlJ2UMNVyqb+74T/VyPW/2xLiFea5NSEYUv3bNOQBYuqrFUVMlDbeECgfOGwJCJQhbgLMYzmcTALxFIBaHBPY440rNwJywv4HN8zueLej0FOX1uNffURTwaiSXCpCC0IJmmTJnipN8unX78i1/8Qtpx8+z666/39Dmv169yNsv891vf/Ja9+tqrXtaXv/xle+CBB1zrjgfSnS7IxeNJfciQ5a6UD5m413/XiEM+wp5//nn7i7/4CyeQIBrQJuSUY0iKRMRViUA8ZSNHjLRWEZWnTpxIBJ/ka9QBDJSDWW6VyClQ5FXiLwiVnff1Qy72XaR8PnWQG8rPywVyzh2yyYPsLS0tbpoNSbdt21Z74fkXbM3qVSq3VyThIps9e7bIFu0dmHImYkR+2pedYyIZaCOOuEZpY9544432kk5Vhqh9/PHH/fTkO26/3bU6u0Sekg6zTvKdUFsfeeQR2y1za9qAliWELX6IVvoLP3Vx9f7TNdfnnrP8ol4wgoCmLyv7C2T41yMCG1NocEU7dZ7kufzyK2yTxskr0vZ87NHHbNLkKdq7sVmppfUorHGQhRyc8/bbbyftSMrKY15Xdr9DflwOx5/D8OOyTPLob0Ua64Qju/8hUThpKIN+JD848SE+E1jEQ8jS96TPZaggJzgp72J1YJJbRzsrMU6HxZgfTFInrUHRra5ZqDO2TUfLWJX63kQWdvZ2uPaz6EX1nUqr49ln7KjPlDaNS/qC90HShKYeyGP6rYy5I69ScHwzLoinTwkr5PM+0ggkLCUmMlwgEAgEAoFAIBAIBAKBQCAQCJwHBHzKDfGmCTjzeZ+Hay6OtZlPyJUgeYvJeZq8a/auuTxJyEeaCms15vasBYhLSzCt27S+1EoirQ8UmNdhFNelOM4B0BJCZWrN28U6tCgbKZSmR1++ztO609cQSkAZ+i6tO1h7eDblCRcInGsEPhBRCGnBp0TEabRDgrFfGwM5PxBp3Bf3PB1ykBp5YY3fBz6DnSehcIT7QlxhkDP4IUf2S+MObcAxY8Z4/cOGDbPF2n+vtXWWbd++3U88/pd/+Rcn6ZYsWeIEIHIePHjIdkmL7SeP/8RefuVl268DPSZNnuQEGWXhclvSY6cHWXsEIkd2WYMLcoa0WcYaEXoQNOyTSBsgLtnfDjKMME4+fuihh4wTiN38Wnlxq9estu989ztOTIyWZuRVV17ppKLXqWpBoxZign9gV8hCHb73I5irbSd1Ui+YQMKhYYlZMOa+kBiUxQezYsyNn376F7Zx4ybXmNsjbblpU6fb0qVLbLzMk8GYugZzHi85KI/25365+uqrvQ/omwP6fOub33TS6kq1Z9KkSS4jezSuXr3aSUIINsqAQL355pu9bZRFGzPJSV04sIaUc4JV/jM5cKEM2k8z8LMvZm4XMqdyedHy+uYlLcLICSEw7nGty5skE3tJ7pSZ9lNPP+0nRN9x153Capo16mAezI0hRr///e/7Ho/IlMcudYIg2qnu1z0m+D06PIM2E0afcdVXiezjjwEYUE4ui3j8jHvGDVfKwqwWrP2E6QI3SM4sRym/Arwej7l0v8CdE7Z71f/d+mNcL8y6O9s1hrWHoTAWf6g+wUy5S4Sh3jtKXw2uGiNdSoMmMuOQcVWlfmTM8HzpL7U/3zX6481oUqT3V8Y/93/qA41dhm/JHv7S7Y9oeSAQCAQCgUAgEAgEAoFAIPBLQUBzfxyzd03d0/zcJ+kenL6KNDmEZFoeaG0gDgNWr9tZviJa67vCUkk+L4m1nufRWqFKc38s8ZxHUCBx3Urf3al1BesQhJBIpOeDUKzICXdJXRaPkQxJdsry9WQhAWuPWPMVYMTlnCAwZKIQ5puHKxMZ/uS4SNL6E2HWLm05CA0f8Ax+uapiYDPiIWtYvOMghnx/MD0EmUghPKdh4DdqDzuIEE6kRYPr7/7u73Sa8HS7QYeEoM02e/Zs+8QnPi5T0L0yqV1ny5cvtzVr1rh22Hhpq0HAYB66Q4d3bNq0yfeUQxPx7rvv1gEeM0qkH7JUPmROMEmu1AK1QXK7X2E88JQL+VQiDXkJKA6i8Ctf+Yr91V/9lWsOPvHEE06Stba22uhRo51cgHhYq0NFNm3cJLKiysbJfPpT93/amnW4B6QY5KOK0q8OMqPWNakdJ80y5KiXqXVT03DH7MjhI/bkE0/aZmnBzWqdZbfefpstWrAgmQerHl4kfCBUly5dZj//+X/4noj8+nHdddfaTGHAi88174r+og/6O9oGWcIrirbTX5B4HIzyOe2tCDG6YsUKN7v+67/+a2tpaXHTYohYyDWIwp07dtqp9lN+GvNXv/pVg0xkn0I351V5eVxkTJEBPFxzC0AGc4pDoxKCjrbSd/QWv8rw4ZcbTrDOfxSg8/y0ZYhtleltUX5M2BdfcbnddPNNIpUfF6m60R5++GF7+dVXnChs0P6RkJ6Yr+/evUdyy0RVgwJs8gEl1M+4RQb84Er5+Z620v+MITo5awbmdF6W4nM5XNFo5DkgDST0n//5n9uM6TNs+ozp9rWvfc2fj0poKCO7Sn8Ou3SuwlknTHdIQxdDft46HR2nfCxU12j8yuyYE6i7uk96/zSINezUH+8e/fFGC7auWtq5IgvZa5V+SE7Yqj/5Iw2JyBuC/tb/UnS6URr1V3b82dcwLNKoDKUnT7mncsq4BgKBQCAQCAQCgUAgEAgEAoHAOUegYo1ULluzcZ+QF5N5LtxDChYT/JI6DUmrtB7WoYe+WFcST6bkNeRjsk8ewn2RKE+xHmBd0N2pNYWvbZWWNYSWCt1SVmCRkkTA+kjrWaUhxMXVGrVKYb5uUICnI7ucrxuTN74DgXOGwJCJQgYphBHEh6+8JRKnxPpedBq6sN1o75QGse4hSiBpfMDrQXCfBjpaUl3aG4yFNgtxCBQnNngq9IEgnDZtqhODkH9orD3zzDOetkPEoQMAAEAASURBVEOaVZj0og137yc/6Ydi/I9//mfboBOFD2qPuZcOvezlUk6H6uFQECrGXPYenUZ8//33O0kGuenadzyE/i9hnP20g7YlMkBmw6qXMlJ7E2mWtd5oJ+Vx+jKk2TMyheZAjNWrVtvGDRsdB14WNA8tsQ61fbT2xPv8g5+36669LsmoSEgs5IWaqNfeeTiIBl4cYAjROXPmDDfbzScZQ4JOFVajRo+yWS0tfkgLfeS/YKjMuToV+qorl9mLLz7vROFYEXjz5s11YhNZaJ+npQYElKOf3LmnTG4Rxhiolbky+a655hr7+te/bn/zN3+jdm4wtBXpAwqgHZBckGqUyx6Av/qrX7MvfOELHk5Z/sKEfKSPuNdYSFp5yi9M/WWpvEmqCrk8NV9p/EAw4qiLfQXJwdiEREReH5skoCDJRj1oHXILYUSe2bPn2H2fus+1NF968UU7KGLw0Euv2Ot1ryc51V40RTkkBiIak3c0OjHdhmwGKsYGYyLLw1iibWgDMnZK441nyNsl7bVOmQ4LA3cSiPyYboNvsw7swZz+kA694ZTqN15/3V577TXH76HPP2RNw5pS3/kfJ7Va+ZUtXb11qdhL79tpPCcJ2ScVWq9DOPfqMTp09JDt3LvbRo4c5SeNi9ZV/8v8v75RMAk8funTeNAgEZBpXPqPJAqi/yCgNSCUUmkz2AAvxzjPzxBleajHkdZTKH8Rfkn3j8MVX4FAIBAIBAKBQCAQCAQCgcB5RYD5OOsqFkjM01ljul9hcBB+4GU1azFS6sPc3efvSusGaxB2yi9uI6fx+T55WdO5RgB5WOtzVbK8TpBPZyu68grrbdamvlYUScgalTUj6z4USRoaGn29WCOFBScbKQN+hX8qAxGSXGlZUV5zUF+4ixYBxu4FckMmChmSGv5uzjdcB2AM02EZjRBNGrX840Gr0Z55TdpvD9PgWvkZ9DyYkCWQMX7VfZ0eRsiVJqXj6vvk6QngAUrpu0VkTbXPfPp+JxXflUbhUe2FB8EDyXhc/rEintD+ufHGm1w77amnnkraa9t32vE2HTSh+kaIxJkoU+NpKuu6G663j+mAkRnTpjvZ6S8J5NIDXiutM0gtl8dJm9QeHkr2u+M5xXQR2fiMkFbfKZ3gO0wPtO8xADaSfcLYsfaN/+P/tAXz59urr7xq22QWjbkob4yOUx3W2NTgpsiTJ0+2W2+71W6/7Xavl/qdhFBK2tgsDcR64VcnPy8dCDDqZb+1xVcstvvuvU/7Mj5tW7dudUzREkQOHFp0OLQRIUnYx7C1ZabaPc1OHDvuptetLS02QqQjLxvfX0Htcy088nlmvuSILz6ZzKOv6SdV4AQaGp6YUC9f/py9/dZbMq1e43vDUS7kacvMmTZl6lS77757nVgcLYJGpfpLEXxpp4qykcNHONGGuSgylOpxQQb7EiGEarf6MBNuaD1CoPmp2BA7Khx8ccTRd/Xq60b1nat9q+Fubi6ZFl1+uf3mb/2mzaf/pE24des2P62Zsiepzy6/fJH67TYn7r7zne/aIZGifoCO2oG81EX/DVMbmlUP+yCiBQoO4IcUpKGvSAcOnP7MHwZkpuGMM4jYHuXlD9fnH3zQ/0g88+wzvh8k7YDg3b17l5Ov3HufFVfKZ7xxrdRsI92l4pyK0+CqrRUO+rFO1KveTTXWpmfw4e89Ym++u9pmaFxOnniZtUwT8S7yvElELu8zTi6v0qcXshBkHVx1cA/jnj4hWPf67071+LvE0yqScCXKmqa8M3MWCkNL0Ysssg9+yRUMniJiAoFAIBAIBAKBQCAQCAQCgUBgcATSvJtv1rVcWIHJU8zZPWeK8DQe7oE+pde8nRVc4ijgF1ibp8wqgIUBef2TbqX14tGsD3qkgdijbc1627uli9Dla+RjJ9ts/4G9tm33TtuuLdI43HTq9Kl28423aF0yXQeuSknI61G5Wk/70t7XHqw1qZs1nl+SGGe3sFCGcB89BC5s58os3ofW+8apW2QJC/Bnnl3uZqSQFddcdbUNHzHcCcFOaTxtlhnsps0yqxVB0zprlpNEEBbJ3FJjXQttf2g06DEJ5vRY9v3CpLhFprD4iXfWXmK2tZ1wLbWd0t5qO35MhEuDTZg00csdLiIGeXh6IA+PHj3qJ9IeOnzID5qAoaduNA/HysQXU9jhImNcFuVDSw8oSLN12zY3Tz4l807MOmfOmOmnBkPedYukg9RhXwGIl30i/jCn7Wjv0Gm5E23hgoVOdpKGXwhI09HeqXT7ZO58yOXngU7ETa/vh8fpx6NGjvR8tBW8KJ+nffv2HW6eDPk1RQdqcPAHhCjlQtDRriNHjtr2Hdu9bPDihGPMqSdPmuzamN7F6X3oeEKi/u3f/q2bZt9xx+32m7/5m753ocuUR0KBhQSVtLzvwNYlVxm8jRJmXJOs/LLBi0pEm4iv4yeOG+bQkKMn29qUSicKi3wZK/J0ok565hThEiGqfJBv3FM2GpbPiWhsF6aNMvO99dZbHRsnupS2v8sh1M2HPgWbg4cP28p3V6r/26QxNtKuWLzEtcaIYx9NtDA3btxomBLPFFE0dfJUJ7QZP6e05yOkNe0/frzNX9r0dZvagoMMnSqydcyY0fajHz5i3/zWN6VVuNsefOjz9p9/4z95eekXom5btWqV7ZGJMhqiS6T9yp6NkJQ4ME/OwbWV7+g0aJF+aCsuWLjQpsuEnfakZ0bYKHyvTlpGbg7DoS3gijYnpsmMB8YeDiz8ly1dk8vX4vaSuaTx2oN2p8hyMX/2rszG/+8/+AONA41V/dAAbpCyE/V+uExm9PyAsFAHIs1pbbGRIupHjh9rI0Y18+QqnTRGZVeAxjQEPH/o3TxZf8SdpFd1TDgwd87PVK+e6zw+CUu/WPoby5+vPAoG75JLte8GRyRiAoFAIBAIBAKBQCAQCAQCgfeNgBRLcGlu7p5EwPms3KOYzPt8vrjzC8s2llUolfRqTeHzeWJE3GGV5pyF1rIcZKJvJUaxyvk95ydOHD9px44csb279zrvsWHDOtuyfZvt3rfHuYuTHSdlQTbCbrv9dilIfca3Vhs+bLjVoqhEQeIDWJum9YzWE8iLLgPLBHnTql3+cBcnArDEJe7g/DdxyEQhbDjkGvt+cTgAxEcmfiAvGK9oTblPTxTkBR/UavNee371NiaNMtRv0eqq1kI8k05uNktp+s/gx36fRb0/DeSlbNWdDhZIRJH/KqAor1+yONmocrOWHmWzV10qIz1ZeRFPfRCYEFfsG8d+dYR5/XQMLwi9ACgrtxMVYUxX62Qe7NpqvEGUlvoTaZXMXcncqQMUvDzKUjLkQOuvQwQk2nO0pyxvItBcg1D1oVlWLcKBfDheRqmNCQ/kJX8mIkhDGPdOWMgP0cV+e9/6p39UZI/92q9/3b785S85gUe5/lIjI2UV+dxPmBzBhGcZwIr9JZHZ25VSeTwadIwN5AQrxgvyuwkxZajdmOfyK4nuvFzHVncnT50olQuRR37akBJ6JZXeFOBl0FeMAARNpruMOWRDU9Vlpxy9bBlLkJo4xoSUxABMxOw6e1pkKvUtXrLYyd9EwkGOo+WpfSlF+iE15uz/9I//aP/8L/9TmoWH7Hd/93fsy1/5qmu40i7w4o9JEgetNjBID3lqk/xEIpMSZ/No/LUaD+CVxluKJx1kKmOOvQqRG8fYy+PBf3WiVDCjLoS4hJ23XjBBDlcLCyCjj//oD/5Qv9bdaBx4xJYG6zdssPUK36e9NNv1nHZ1dNnwkSNszqxWjYFF0gyeZ1NF3DIWmvSDCFq4ri2NeUKtNFVlGsAAoX/YQyQ9D3qfqE7mI/4c0g8SgDgfz9wjE9czuku7D88ITUQGAoFAIBAIBAKBQCAQCAQCZ43AwDNv+AAcnAMcRjqgJK0ricnxdazBtc5CiSWXVCuykLVkpxRdUHo5deKUHZFVY9uxE3bi5AlXKFkp5ZG3V77rSkkn27Q3utIP0yGZE8ePsdmz5tjlWm/MmtXilpTjJo53i7i6Bm0/JhKyV+tm5zfzukE3LPOQ1h2XWC4kLC7W7wtMFA7Z9NgJMBFhaBIa2+dp8QsxwfNVJUKQE3xwtRrBPFQ8cL5ARpMqD2JPrHy6h3yp9X349DBqoU3yrOVHfg5GwSVSUBp11KV/KQ2qvImQcjKQAuWqZV6YKktPTolwUeGJpCliiZbzhb2y0rZ6yZMaU0T6JZXrvxakLIjp+wAmUoY7fTytLjz9ct4+tRtSrVFajP5ScbwgFBIx6Sey+stGD73qJw0vILQHMdt2zFSck4+8FeR3XJSW9ClBCiPSX2SquEplZMdL66133raXXn5ZGpnHpYV2rV2j04rZ+y73kZO3ypeJDa+IZtB0XZ3ckN9NJtWGGt/DIWGmQkjgCSEcITb5lMI9PslIPdTpBC89KT9jJJOKmLJ7hVStNlTTH+7K7SkC+l0YFcV4E/6uFYhmIMLTiNQwCayxJM0y6mdcQPRSgx9XL4Jv+7Zt9rT2lpwmrcEHHnjA7rr7Lhs7ZqyXR1r2rjsmrVYOzXn2uefs2NFjNmnKZJsmbdgmmeLz5vfm6lpfI6Iz/yHJWCKR95s8yOZjXngqDNLd8fCXgWIdUr6S477e/2ikMN87UzLjvH88g9+kzNwjzCXqQIl+9X6Wv95/lRMJL63n+XPn2pVLl9pVy5Zpi4I2/0O+Q5qhaEJv3rbVtu3YZgf3HrSf/vQJe+Lxx7SVwnAbM260tJ5nuLnyFPX5zJYW7RM60fud5xjtwmqdPlTVSz/qRwLGNmS4+tOJW8ahHH2FL/WiPJVdVAqUJ/edh5UiPENlFgXI8RSdHpriBvquLK8y/v2UUZkv/IFAIBAIBAKBQCAQCAQCgcB7IVA5Bz2X887yTDjVMEDZea1ElH/KadK0O60nWTaitKHVuT6szVN6luIoBrBWJ7BDCganTrXbcbQFZUXIOnLbtu2+lti9c48dOLRfFm7tsmJrtFGyarz88iu0ZpwiC8oWmzF1mk2WVeLI5hHarqpJlmLapkrr5xpdtQDW+kX11xYkoeSpQnNRdTs1kttRCXUlrJXh4f/oI3CB+zazL+8bOH+IIAFzTjw+YvO6FtJHg5v4YkFcTlxk8sYqBVdPU5SmBxLHI0qck0oekr8U7g8tLwLSqC4/YqicJ6UsyiMNTnmST98lfxGWZUxVK7HSuL/I6wVUfqUyCHEZSuVVpC/aBElAGkiCLK+n8jwDhCuVt6kSk0KuVFYhR2V8Fk1h2XXrxdUms9sjemnxIsO0+7FHH/VTo8fIBPimm26yuTrIBK1GyAy008jd62VkrChNoeViC39lPGmQubhyqZQth+cycpzuHY/+6ftjWeBEsr6CpJDTvr18hTrIuVJSyc9/Bi9tJJ38JVJU9xDbmIJPlcn5SZ3MzB6L/+vbD8uM+ZDjNV5mqRDKHF7ysgjXp5962jZs3KD9JofZLTffrIN1Fju5C56cWp3qSORmwjWJgTRJPvclefBm2fOVNsjfpy2VcYqGRKVJ7hhj2a/nseTv04FF2kvowvnXPTrhWLyd9opUfwinHn2qRew1jRgp4rXOmnUAEBqwU6ZPtSVLl7jJepvMzk+cPGaH9x22Hdu321o9Q2vWrbXnX3zBfq4Dlepk9j1q9Eidhj3F5s2ZL83DBb7/59gx47TP5nDf+9K1aEVKV+sdhSaqOpTXj3dpHv+6TY54+hsmW47+K41X+lD3jNfkxZM6OxHLKYIQ/aipJCmuYhAokDTkKgrxu4G+ymUPFBthgUAgEAgEAoFAIBAIBAKBwNAQSPPRoeUlV5rJev483eUGLkJFl9c/JNX6lokxTvNsfH7vQUrMukrKT65s4Us2fWkNh3JOjQg6ZuRsPaYAzNGgC7WtWI/WB6fsqLb/OnjogJOCbDW1dvVa27GL8xGOaQ/6Xl8HTNQ2addrD//52tJoqrYRG6H9+Udo7dGsbawapHCFUgt71Pthli6T2uZrPckmXaBeEYMcgOLKPN4ErR60liFN/vi0XnFK7e0t33vgaV9ezWmhEfBhRyAxNRdOyiEThRdOxKjp/SLgLxe9Idlr7/U33rB//Na3fE879rdDDbpaLz2IkGU6/bhJZIaThCJN/MX6fiv7CKZP7+D0Eq4UH7IFx2nS7Pm3ZvUae/GlF239+vX2zX/4pptsk4YXOvsDnjhxwglYtGqXynz14x//hE2Whhn4Qybm8vJLPN9X1hn+C4MA/VGjY457qvnDyp98TQrUT9pT2LrpL0y3MVGvkcl3b532L9Xf2dHa81F/iHtFHtrCajuhXwqPHTuqg5SOa8/JXU4arlu7xjZv2Wwb1260lW+vtB/pj/kk/So4e/Ysmztrjv9aOG7cRBstYr5ZZszDNLbYG1VV+sTEX/jIw9AjsBg3aKC6FrUmNshJchIlYtEz+/jybIpljFFGSuet8xzpqwjNkRUx4Q0EAoFAIBAIBAKBQCAQCAR+uQgwSWVWO7jrO42tuMPLXNnXcZBoSfnF59Wax7tlDzNkFCjQxqMKpc3WhR6ltTHnL9TwSz4knAjBOk3PexTWLou89vaTWved1BrgiB3UVlOHDx5w8+E1a9Zqnahti/YdUPFVsi4aru28xttiWSvNmd2q9cAcnRkwRfudN4sc1JZFDTq4VdqCPZKDdSGHm5APRSDxir4FG3upy9ZNdKREdpJT4qp9rF5KEGm9QHt9/u8NIhLX5yYFxXcgMEQEgigcInAf1my8dPjwmmAvwFqZsra3t9sB7btGOAdfLNQhGR+/5+N6ec32F0wmsj6sbTpfcoFHdv6i1Q24gdHixYvtS9q7sVH7Rrz55pv6o3DQT6xO+1EkspCTsSdMmGDXXXud3X3P3Z4H0jCbDpMWU+JE4pTrynXG9cIhwCSBCQMkIQQc2s78yUUbE79r8PEXuJd9KIlL2x3wguzV1qGn9Ie8UeOiceRwm6gJSEvLDLt66TLt0dppbUeP2BadOL6Fw5u2bpG58k57+9137PmXXrI67a85ZtxYHXzTYrO11+HcmS02feokHZoy3kZpwlBfp9O2pdWogaIJgUafrhIoTR5EFkpkhTNdkDxIyWSCtmjiQDu8WQpn4pDCmVYUY43MfPI92QocyKJI/5/8/b+LMvoHx30gEAgEAoFAIBAIBAKBQCDwgRB4f/NMZrOVDgMcnKbDPtd1Eo0ASD7mvZxnoHUwc+A0E8Z6DtNhzaPzv16Rgwrrreb8BFmCaSu1HinZVGstAGnYcarDjh89bge0BtyiQ1dXbdhoG6QcsE1mxccO7rce7WUOAXjZ5Ml29dXXaSuimX6YKJZpo3UQImvI+gZpCmpuj5UZU3I/8ASLMykv9Er4njqtFTW3Z0LuB6W6SZBklmylNik2KQ/II0dqn9p7vlJICvRIwsIFAh8cgSAKPziGH6oSMB/m1cuJu+y/x+nH119/vWvAQVotFblx5513+CnHo6Ty7OlFHji56KTCh6o5F0QY3qmutVWQKBB7HFTB/o2zZs2ylToh99lnn/UrZtxop0EQQiaieThH+9xxmjYkIRgT7/jLT1lZPfyCNCYqGRABupbnwklb9YlfId30YX/UFM6vc9r/lN/wmDhQkgYHJxbXyWwYsrG2SpqHXZqE1NZb77ARTs71aCxMmTLNrrzyajsmU4M2nZZ+WL84btJE4s0Vb9iqlavtVZkqv/DM0/4r4nRpnV6pE7gXS6t3+rQZfgJ78+jRxr6cyMKeozyXTGg6NeEpJLcuyeLPq0+OJItkYo/WslOCNJiLIIQne2q8nvLUpjTFUFomIkWeciHhCwQCgUAgEAgEAoFAIBAIBH6pCDCl7eN8Yp5CsLzx+W2RiLk6zlfBzJ1Zf0krsNPTaWupen5gZ84sYk7fHIzawWGTysGP8O1d7a6J2CHNQfbxP7JfGoObt9qbb7xpK95eYTt371EaHTw6oskmaV/yj93yMa2lF9kM7Vk+esxoaQuOtqZhUhYRMdio9SDbjSVyMM/Tta5gX0GfiTP31hpEhCEmxWn5qfT1hTVaRTslICL6hwtpccrOd4rDGy4QOA8ISAklD7n3V/oQs72/SiL1kBCgb9LJ0LxQ0knHJ0VeQDKwiWqTCAk0DUsmx6oFogSCC3ep9C1tHqitOSyRNb0lM2NOGi7ezE4IYoKMVqEf6OPIJRzJn97fqXwnoYr4uPySEKCv+ePsf2CrbM3atfb7v/f79r/91m85cV7Zh0io5HIkTn+R+ePOX+d0GAlxhVOYF6t9S7o0IenVlawcXNSmvUuOHz9qhzTZ2LJxrfa7XGsbt2y33fv2234Rzpx2ftnkqTZv7iyb3dJi0yZNtkmTxtu4MeO1b0mzTlxv8HHWA5mnanxCgRYhvzYqQFYSqotJju68fZqMVHHyMr9U8nspRKBazZ4q3h5yFR4vIfnTKdnlcC+QCsMFAoFAIBAIBAKBQCAQCAQC5wEB/616kOlmn1mppyl+7C78Jc1BEupTKkYag8x1mZ536Ysf3X32qzTS2bNqbSekJbCb/PZU9Wg/cu0zqAMpDx46ajtkEbR16w7bsm2rrdOe5Af27/X1QLMsgKZOnqQthVptTqsOH2lpsbHaVmi4DgOtq0+HjmKN5msEbxQKCVkfUIKwqPCFRUlKyQSBqHsEdac0uOJS4VFgTuMpzsnXuS/xnIgVhbwHAheaUxiyRmFpHL9HgyL6wiLAgw9FUCvNJMgKXpZoDo5sHql7TBl5efG+0i8XuvpeaBCECvRfOoi7sCL/0morEXqnSQAC6SQr1MDZXHasTqhy4CrSkp8PuDrJWtzzhwKcM945y6WCa27vh+Wa/hjqG4/fJLos90fpb3RK6GLjLb2MlSD9wVd/a4Lhp1Urs09Z9CskpDyaidpwxA8GQitQne+H2ozU5GKyNA5nt7bYDTfdYoeOHLNde/dpErLd1m9Yb1s2bbKXn3/env/FUzZCBP40mSUvmL/I5s9f4Cdoj9E+J8MV3iBS2qTtyB6LKtyHIiYLThryQPPUcuG0FndMlFxCbwdJvE0kkSc1VfF+w3glLQXgUmzyf/DvXOoHLylKCAQCgUAgEAgEAoFAIBD4qCNQmmn63HWQ1niiNJf1yauSpTk7+3jrxue/KS+zXv735PksP6prDVfFvNjn8TItVgJMjdtPdNiRY4fs4IHDtlPk4MqVq/RZbbt37bG2UyelEdhoYydOsNvvuNNaZ8201pkt2n98vI3UfHy4Dq906x9ZFnEYKJY9rLvlQTpN/zWb1gLb5cnzc0RMgqe5Oum59zakfN4KBdGG5IgnQX9HWJGolLYizUBZKqKz9yyT5eRxvUQRGDJReIni9aFvtr8+9PKBAEh7scFZ6MUlMiNRAdJIUivQMuIFx1vKN33VG5d4f28N+GL60Df97ATs81LlpnhVOnC8esFA4foPUcQ+j7gUppe/7jMBWCKSFJ/JwhyW0+S8OZz7cBcWgfxM+OD2qkWM6Voa5vQ14fpiRCSXngX63dOmB0N//PXKVACGyaT1OJkOeH9r12OmBjxvTrqLyGMvkl792tgjU4SmYcOtoXm0tAYn2ZKFC6zz1C0ybzhm23fvsNdef0Of122lTkt79bUV1qB9TebrBOXrrr7W5s2bb5fJzGHcmJFpgiLSsE7Pbq/MoEsahKq32n81TUQijdM0ys2ma/h109tYtA6h3fGjgU9virvUpiLynFxKVZ2T0qKQQCAQCAQCgUAgEAgEAoGLBQGfmWqy6MYypzWKealSeCKsdkigEM3J3dQ459MP9QrwSbn/gF6jhBB2Paes52S7TizWwSDK06Wtg/ayr/iO7fbOW++4WfG61Ss97YimRu0hPtXuve4uW7xksU2YOFEHfuqH+qZmWY7JwkeHHtbpgzWQHz5CeT3a15w5Nmto3bNmrKlLWwchcp+1n+JLzpvE+iKvvYu1hmshemRKWplH1SQcKsrxVJX3JAoXCJw7BIZOFDIu86DNV+TKY7Ry3J47ecsl5XrKIWXf2dRdKXM5Z7lNhA2Upn+Y3xdg9I+rLLfST7ozubOR/0z5PS5pumXV51qIBX9vijDk5amXEdfs0Cz0tO/VhlK88sK0+EtM11J4LvEsruQZzJVFSyly2v7hg+UfNLxcQCqSe/k8uOJFzS9Salsm/LyplKkwz0e7IWMKLc1Ks20nX8jgycEaMlbg61qmZRSZkni6s/oqREVWJ7D4Oc3lLsrK8bmwyjjC8n2OH+iaZcppuc/+gdIPFJbLIK4yb2V4/3yDpasM75/nrO8ppPjoUqUNQfjT7A+E6DSn/XwcVxZI+ooukuz0NWa6YI/zw0ToV5wuhDNB8Q2HNV8hqttJQ01u1PccclOn/DXSDISiNxslAn+8TRRxOHfOPJlA32ObtmyyDdosebOuO7fvsu//23e178lImzJ1ms2Z1WKzWlps5vTpOl17io0YOUoHrGgfFIoqfaVJBwFpguIRSpBkJinOqdL0c2wKQHYKyclTqH8TVJk7J6kMq0h+uvesE56eNUICgUAgEAgEAoFAIBAIBC4yBComl8WSqWggs1HNZX2urQmk/9cX82mFZfKNqWUvJwbLw8zXy9CXaw129Gj+3WmdHR0yKz7iWoNbt22TNc8O26iDBzdv2WYnT52wZlnbXX/DDdaifQbnzp1jrTqM5DJpEo5sbnbSr6RiIyWBqmpRJiICmddLED9opLZG+5ozf0YGzamJQ7+EvRCZVXsbEJRGQDDiIzFOsuLL7SEoxaX48nrRU3kRpEmeM8zEi+JT2vi+KBHI3X8BGjdkopDBnB/kNPDTQjppqSH5eR6pMPhndGeqX3lL0SWPSkvh3jZvVLHo9iTpRcCGp7j8nFNOerAhEfRiAJeUxNMN+PWBZB+wxFJglgvSL8mR5PZwyeUvL5GCKR2ypnTcI3tqiyOhMnNbUzgvMwgxCBPSgYWrWBfhFaCW5BnMA6T+K8xgCcodlFKUMPPOGDTX0CIqy8xtTn3cp7+JAtQCJ7Q0wcQ/VExcP5f/AOQrGHlt+ir/EeiXaZBbcmbM6APXVqPjCIf4hQkWTm4Gq2DvS4mkXtNNQWgNUnYpuMCZvN6cfE8dpUR9PS6CglLzwadvfAoYKPxs051WYP+Mg94n2civ59P/wKvPHIo81mkX8YPVkcK7aZxMCTTyvS6wYP+/3B/ajlgxuSwiea5UkfI4KQj+ZNIz06uTztg3xftfE48GHbNW1zTSxo5PhOHJm9rsECesbd8s0nCdrVyzzjZs2mZvrVppDTJ1aNWJy9devczmz5llrdMmyyx+nDQQdRAKpydXo2XIe0ivdtXpJyGr3mLUSSbVqiaksURTUnv8G7BKzxlt4MOXXAIy+T3CA4v7wS+UW5QweKKICQQCgUAgEAgEAoFAIBC4aBBI80o1R5PA8nrHQ72NOSytO9NMkbUNTitNfRNWpCccrz7M5dMcNhFzviWPJrbsP6i9gKy7o9OOHz7mJxXv2LPH3pZJ8etvvimScLM0C7ts/MjRtlA/vC9essRaWlpt6vRpNmrsGKvXnvM1tVjsMH+G01CZIiJrNA/mo4p9iqxzk8VZshrgXjN8xSGTt4CrPD6dpgXITAAfOW51498k4j61PwUVMemmSF0kLsLyJZWU78rXwcLLKcJ3MSDQd6SczxYNmShEKH+gJWu3VHnRtOHB0QHgHl4mRj6o+BmMfoM/L1xz9GnVDBqhlJVlVaZTOFEKSg95ItSK59vbxcECHHJBGl4MnTrggkMtuBKYycLTxOkTUFl/n4izvKmUuV+WPlGpMX2ClNx/FSkwoJ/oR9SyIZgqX1jJdFm59T8djqKXpYDJ6TqUBzVrSKpumTKDhyfug28/+fKtQz0ADn2EzTekGyBtLuscXnONtDmNYf0pE0Z5uHl4QQjnaivHeiV+OZ5rKhdKyhvuUX3SkoAmlgTwJOUvxWH23K0TujhZmROt+YOXxxsne5G9h3jXHtUfN3brpU/Vv65FKn9y+UqOCleqP4WXY+Xjf85WkcW9RXj/XH2TlUvrG97/7mzT9c83yL3Lpq9C+NwErvRG+TNQ/nKLSN9fMu55Ffi7Ql/en7pP7wd5FAnk+g9P6S6XwZ6AhCuFl1FVoxgmHFav048bdILaSJs+Y5pdddXVOkG5Tb+A6gRlmSa//c7btnnTRp2k/LZMkUfbssVX2BVXXG4tLbNs4mWTjdOTGxuGa6xojHh/65nVlX0VOzWB6tFeLXXUo7DuLk5OTpMcn7C5oH3lpHFI6vH9EBgoLOUuf9Pe3OZyaPgCgUAgEAgEAoFAIBAIBD7cCDAxHGgWN1j4wK1JlFia9eYUeQ3EPJo6SlZuWk+m3bZRSNEP37qvFIG5bK/mslBz7A7I+rSrt8va2k7YwYMHbO+OPbZpwwZ79913RRKusqPa4qdB+wpOnTLVbpL24FUyK548YZKsckZovj3M6rQ1EGsqFaW5MT+0a2WguS8zco4kdvFY3+o/xF9drazNZOacaldsakBaD9ASpaG9tAfkWGf4GqSYk1NscsT2dTmEOiv9fVN9sLtc7gcrJXL/shDw8XgBKx8yUYitP4dl+CPgmiv5Yam4ftCG9EFDNz66iyFePJgDVtEn30ApirJOS5cCeLQhw3gheBvRDlIxbICaDgkRsSZiBlNCJ2xExCTCJr0c0ltloHqLsEEZlzPkyVGnyZwjBroqMW+syjzCrZL44mUIAYVGNYQhcd4W+VPf8kJMpBPxiE4ePhAirslGx9AffNyRqPAOdslJT4vPGSmviCzhleNOy1QRkDNVBJ21V23tJzilqamFo900M2GYQyuvlaRhZXjZfwb5zhAFFozL9Esa0Mgvcr5M0KY+ASonFLVvhhNFRV9xYq43rU8dXmghmjeswLxIVEpb8pSb8ZHyaYwzNgVO/of4+Muu1MnloAofKUnPuK90fueRivXiivginY8XMjgJqDQerb6jM3hv6qpdTvTRO0TvGa9FiWqkGVijyUtD02gbNbLTJo6daIukQbjv9o/JZGKLrVq7xtat32gvv7XaXnhrpfYw1IEpMplYMGe2TmWbownRFDepqKtrsE6Rgb0ikH3cqsZOTbDQhOStxi+jPO+FYEXTKnFRVL7Nz2G+J3UOK3IOfCkwGTgyQgOBQCAQCAQCgUAgEAgEPlQIaLLn8z19VU7jSnPAfuH9ZSddKW3/SN2X5slpjs5ck+S9WpP2SBHFKyVMET7/lhCseXpQjND8ubur3dq7OuzY8TZZ4Oywtes22eq1ssDZuMH2HzioPb2152BLi82fJ5PimTOtRf6xY8faKP2g3oD2oO85LrrP64AFTOsk3VKp9XqEZufUX7SfOTsEYd6/nqSDO+XzjF6iJ8NHCbltHliJrQfEVyDw4UFgyEQhy1sIiUSMpGuPtOpKZEa/BfU5aXJ6es9JUf6cDlSS6vAXEqQZ7dPH95cr2gpR4L88+C8aerp1D5EGadifRBioeA/zdgwae24j9II7zRV9g7w51klA7tVO/HzQSAMLV7mmHMUnrUF5dQ9RSBmld5z8vFzd5YJPq/w9AoBUSXIxfcsaaqHvUWcpmtaeyZXjPV3R/jPlGDDuzJUMmIVA+gT80zOXkvFLmv/BUji/fnGf03nfFH3qqQeqtxQmD/2XESiFp3pycHH3kbr48+xDM/2JT2MLP04NpR/P1ECwIFMxMB0az1wqoU+fUGqK0bMhD5MMnH/7pEG1KYI06Z1BDO8ZScpEJSVXvMh6Eb7cN+lXzyYdcDJ+3HhrFRF4zXXX2Z49+2SSzK+mq2z16tX2i188Y88/u9xmaUJ01ZVX29wF82zy5Ck2Vnnqhg2TibNGiD/TRb0aMz77qZzIuKwgpkoLOdK4yA3QtdLlNJVhFX6i07B6j4QVecIbCAQCgUAgEAgEAoFAIPAhQWCwKdxg4RLbo3zuXLFOzM3RxNAJQCXyOSLpC39aV/IjNmtMflDXVFhX0nE9eeqUdbSfsoP799uu3dttDabFK1bYNu0/2CUScZx+OL/9tlttmTQHp06fahM0Bx6tPQdrZf2HtY2rwTAXlvWVahfx6MqCmg4Xpj/IKGFYGbDW9WtqDREuN9fcKp8vk0chyMrv50yr02//WrN5KOHEpjjm/5Th3+ni/tO+lDCl7Rtzpix9U55+R14v84MUcnqxEXKhECjG0YWqbshEIQJCSuzatdPa2zvc/Hby5MkluSvJjLQYLkV96D3I6wShrpl0oT34O0SGHjxwQG1ud9Jm/Pjx0txpdjIxP8yVbf+wNRbZcn9AOtEm3r5O+hVtJN4113TtUh9ncurEiRN2+PBhN7NuaGiwcePGeb87XsqLeSPvndz+XM/ZYFDKQ/6zyTBImlwO0e+n/lyc51e7c1/m8P5Xj1e6Spfrfr/1nm0+iFvvr6LS7GeD3i6ZIeOm6sQuyvP+LNJxz7NKP57RKd3ZuixzTv9+25zznavrmeQp9ZLaxx9q/1Ne+Blt+f5MsngZGR7dOFSuTUdMEVCRCHm49XSM6JTBnzXS+/6GVOhl1unKhIUY/WP8SetPv5cqW5c0mRXRI61f/fpZXd9ow6UlOEKnsI0fNdZmz5xuN151lW3ZutneeWelvaMJ06btW231v33Pxo0fa4sWLrKF8xfarFmzbZLez83Dh1ujCMda7cPChKuKk+Kq9Q5IM5pCPhel/MU4z20vh5Z9tK3fs1COlC+B0CcobgKBQCAQCAQCgUAgEAgELk4EfEo82NxQ80KfJSs+/VadJpmE+cnBsqpBexBHEaxh2qQ5eOT/Z+89g+w6sjvPLFShCoUqeO+r4L0HaECCAGi72aTajNRUr9Qzo5UmYrUR+qCeWG3E7Oxs7OjDznydjdEHza4UmlV7dpNNb0AH7703BcJ77+3+f/+8+epVESBAoAm6TKDeuzftyZN5853835PnnDqpl+SHpDXYpGPFG8KWLVvCqZPHQwfZ6R41YliYNHFCGD1mlJwE9g0dO3XSXqgyAoT6RoMQRZ+rOBwRCHnlStRa9IErxUVBV/QgFos6XtybKnck0hf3ECbLHzE23UM9mWMdrshlFVUuB6tQBA9TYip/k++WDdwkw91FUe0dtH53ledSXysO3DVQyEb4zJkz4ac//Vk4fPhw6KQH8q//+q9DrdR5U/iiwYNEx2f9TiAL9BtcYZViUdPfBYFlv/jFL8KB/QekqdM1/Mmf/Im8ktaXmkgAWyniS3YRQYhieaB/6hN3ftOh+7Nnz8rGw/HQsWNH/9nOXdGH3bt3hzfffFPg8AF5hxoenn766TBARmATSEPdBkjg102C8xVpKUcq6+y3KEdayvd5zynXDx2Mt9pNdJq+23y4/9D6KeVap6V+3azq1mmt+076ZXn0+vnPf+4fTube3/zN3xjARcuVe/JQzvP4Zo2kuKLP6Ta1ndpM9aR091V1p9A6PcWnb+cs8qc6U9rv4zvVWd5Oeb2amR4XRofrBBh63ieQrLxAq2s/Ja0ng6UbMjbzobmYWkn5S8lcxBu8I1t7UOKIg/hfyi6zBxxDBr+TNKOxCwLsVRL7Joqnrwg51VXtZVulWsBf+9BZa9HQ4aPCw48dCbt2CDSU45MdOp68YsmSsGzx0tCv/4AwZvToMGbcuDBkyJDQXSBidVsBjx6TggaTpo+CENrhMqZyFWkvZUj3zJ1SKL8mMpUpZcgXmQOZA5kDmQOZA5kDmQOZA98gDkQRExmzTE4sXepC/9m7+BSf+IKNP8Tgy5cvyWvx3rB92/awbsP6sEUnaI4cOiw5uI32oAPDrEdm2GPxoIEDQzc5JamX8k51dbVkZ3kqVh7kZ5v2kbx7VcoxKAIRLNfzjRyM3M3Lf7XPlgAS4z7IVBd7qVgGkvmLKVyzq4hxsW9Rdo71k5Jy6jKHzIGvGAfuGiiknzjw+PDDD8PevXt97v8nP/mJH54Wi0DBkLSRT/yJD2C6u/Nv6vEjV4AONyvptnjKbxH8gBfly+lI5bw/LxaSEt2qj7cc3M+fPz9s3749NDQ0hB/84AeOS/UkDb1bNM3KUyw+t8zxqQmJxltmuk39XoDJowpYkP2thZO3NUeOHAkLFy4MO3fuDDNnzgyTJk0ykHANrUOFY8eOhmXLloVNmzbprc6pMGPGwy4HmOjjr6q3xC+XoLseLd+R5nt9p0BceRnSS/cpX1kdqdytvktlyzLcLK4suXQJpYkyHw2lXehTvHtR0JauXbBIT5Wk8tyX9933MdJ1ckmwo5F46c/yum9Gt4FojUcCAhm3BQsWeMz4IQQoJLjegv6U1wk3+Si1k/id8qS+F/1O+VK/0n1z9vLep9g7/G7Fxzss9YlspbFqkWKuehw94+kPIwp/9E2Zm5eLlbh0q655VsRqy1oqwEj1JXlDdqLKkj+mSgJROa0m/o4fPF+UUS4JRgYQBRBWWMtQYK+MKVdKs5Dy0ZGQ3q5SQt6TvVbpLWmt/tXUdpAH5K5h8IABYfrkieHgvgNh7dq1YdHyZaFJRzK2bt0aFi1eHKZOmRzGjRsf+stZSu+evfSSp7PesgIq0yb0xWcwHvUQTaKXMYdT5Www54gv54P7WsYSSrTIUJ6WrzMHMgcyBzIHMgcyBzIHMge+1hyQfOudpL7TvsrfhdYgcmKl5E/eh19VnktSgjh9+lQ4IkWkj2WXe+2atWHV2jXhhI4bt69rH0aMGB4emD5VWoQjQq9evUN7g4M10TSYTflgU5+X7mgURs4iv/qwseqvUlqFXpbrmFbcCyOnClSMtsKVETpLQWmIskQ7Dnme++ZPUiwjE+X4VN4RLpU+SPlkbErN35kDXy4O3DVQyCQHtEDD7uKFi+G8vA35AeNhUqLdivPEE7wwpEuh+crgdJLJXDyQxBt80HfUdIlJzVlUuf+zoY71xFpbflJHBDFabWKdLbXBhry4LisOXTTCJ3RBooEyXePdGFuEA7URBxzr06uX1hWO28blgiLXBdyk/lVq0QE4LG+Ha15XQJ8dpriZ2B59TsdJW2uAKTs5TRd5UrrrcQrpLRcfaHcoGOgqClq5Jp0/2j124kR49dVXw+9eftkaklOnTHE89OIZFUAKz8iXLsp4rOxDcG3Q0TyCz/ENjWk0sbF125co0iADnkY6uIz8JZr6DYIVZSkXqYt5dENR5WEpvkkgsegn3+Y72dxoWX7lc7uK5ztmKWjVDVEpHSO0RRZzPuanr+T3T56vYx7R6TpdZXGd8sCbot9uMh5pj/XwrDBHYp6STcxYTemTvAnYtR1J+EV7KnvxwoXAsXDAWp5B4sirikvlOZrM3L1VSLxIfW9xTyG15X9lYxi55oiCT5GfZG/JR3pPJB8ptLgp8Zx2KUt/9d/xlEi8KqePuERnSvc3FRRlSvkdw4fGifr5LuL4TtdF1G2/nF/1xJZi9lIdEJ5C7ITbc5TT6FtZSR9hVqrGr9nwcVkdSqrE25Bai/1hnOlBXIPJyV+bKo33VQlFkorQMuzQsXMY2Dg4PDjzsbBx86awatXqsLNpZ/jgvffDwkULw6iRI6VhODYMl6Hnfn0Hhs4dO4VKCU7VAh5tbTYOhGpGuIocq5R3ZmwpEli/mGKshWSNtDkpfijO46HsZb0ty3Bnl7G1O8ubc2UOZA5kDmQOZA5kDmQOZA7cgexVJmCVi6XNvEO44z//kDWjbB6lTuIR8JRCYTKkXJZ9uUVulaAoYTHJ7NTE7gSZ8ca1K8XeRiaSVBUKSMeOHgt7cE6iUzHrdbz4410f29xX1y6dw8TZs2V7cHwYNnxE6KmTMXUCDauqa+L+0S+7VQn7KdPEHpy9ZbRFaOoUbzuFiq/kZbxekpMq4kw6xeJt3JMVd/qK/VMu54UPbsIRjuQDbhQhXaXvmEb1KSZ9pxL3+/uLbv9+9ze3d3ccuDVycJv6vFjwlPihSptufXvmkapFIW2AVVdpw04RbGMpI/940lwNC4kLO7Z4oly58sQ46nDmohz5+RdBJTVC+aJI6QFQmbhZjXnpFllcV8pMfUWIV9RDnyLghDOPa7StUCN15h//+Mdyw35OzgXah549e8S8WpgiOBVBThZC0ybgEW2dawYgIdGxqknHB3nrAQ36T7teRIt8xEcwkHZJjeCS+5jypr6lHGULceqzkhxMfdGHxM9YL58V4eSJk2Hzxo1hz+49oaGxQWCA2lefTK3KGcSjJuoo6OWWdsCDAUibgT7FF2ss2bnGSxU2DCNfXVGsB+CPPrvOaEsP4AHbiG39GgiAIqW7QQNhLdoSDQlES/yJ4xvp45q/5jdF/GaJHrVtvseOmAY+YnuUieWpk+lJHeT3h+uMfUu1kJYATvOfvAouo0+X5/eLX0gFA62eD9yoMVqGF65It+lblwT3Q99tyOs/ssTaGSnmE9wCvMbLLXnwaEtfCdBEHS6re1pMdBKfwCfyppDSaUXFXQj+pHaLd4SuBwoi78jc3A7xMbhFpcH/WEekCeZGWmLd6qMbK4pRHT0T45hHCfCMcaqHvFRNvjSfoJWG1C9o5BY64I8DX3FQuSj+nHKHH27A9d60AMmlanXToj8FDamg02J9LfI5qjyvepzqUb9IjqWKstwx9gCO1ytDdZ2OXmiNGtCxg407jxk9KhyQluHmLZtkz3CDnvdNYeXqlaF3r75yfjJBtl0mhmGNQ0InCWMc6ahoq3FDkLoRvWvDu4oKXs3yMkTpao41Hgp5/rxmiP+A+YpQOf0lelNfb/pd3seWGWLP4mfLlHyXOZA5kDmQOZA5kDmQOZA5cFccKIlWUZ60QNlaHJMsR5RlfS6STOdNXpT10j4AmZosPsJLZc6rurWf876/iMP+9g1kxxuywS2vxewH+Dt58oQ8F28Pq1evCuukQXj0yNFQW1cbhg0ZFkZKfm0c1CgHfX1Cj+7dQl19nfbWNZL5kUVVl+mBC6VOWQZt3keTBkmkxz2tI1L+ot+pe+RpDimRmLT7KbrXnMlpLW5b3MQ6yqhrkZpvMge+rBy4a6CQDrG08NCVPTalfrKRNDDipy4+mCT6gWaTq/iovZfieKYFcrBBLWVPNfOAxQ0p3/EB1reiWaAMOlBI5dmkpra51/8i3VXoHoAItIaFSQsa1w6RJgMpvqce2oI+vXHQJWAYINa4seMUG/Mnb8doxJHd/VLdxKPFFQEt2mFRjAuFK1U/rgnMoe4EegHoUD91uKx4QZFrV68oT9TaIa2yqCvlT0BQ3Kw3axu6sPKndlO/DVCZCPgLX+W0RLTiqIW3OZQDcKGP6SdCF8Z+6CT18c/gn+7pwxXRKL/P5rV5AlCg+8hD8nArhlOeH55iHLi2NiF9pTzxhcYSeVTAdZCnCjXxmwXoNR00AvnMI/gV+U2aeSTwivagBTsVVTq6aWBJ+ayJZ3o1Vvp3VWND6SreRFG/+FFFD0UT1cZ+xbmVxhZwE35WarK4f+KL+RjJKJWhLG1gqBfuM/7xWSiAafFCCW5Hn/6GN9RNW4wzACBxBM8fXetJ0J0K6j/9h2ceK+aV2ygAM13H+aqMCswH6iAYLKS/MEmB8k6j0/q7BuAL/aIRnvKXykJBLAN/9Oc5C42xD6S5WtfFTbxHYHC/VFcsF3/4qTu2H2mJ/KWW2G+PqeuEb/GtYRxfKiab6nO/eTZjHZSOIdbROjal/l6+P9fKyyiEn+4v+BzPYBwjbLNUKf6G5kynjpWyH1sTevbqGUaOGR1mPPpoWLF8uUwJLNWx9R3h5Zd3SThbHaY/MD0MHTokNMhzcs+ePUO7mnbSMJRRaZ4dzdkr4rMBfOYhY6+5fl2emTViPDiRz9BQjDFk8ZdD5kDmQOZA5kDmQOZA5kDmwJeEAxIdsZdtmTqKxCasJLORbvk9JrIHsUBXyNPeD1FC8h67Gl4qs5OIe4G4Q/HLZOX37oj6ruu8CjKq9mLsN8+cPROOyqzVPmkQbtywIaxZty4cOngoVLVrG0aPGxMeeuhhOeUbJbM63XRSRpqD2lfVSC5lb2aqVDd70GZBk0ZKPXB/8kfmQObA3XPgFsjLnVUIyBGXAuVPzyUbxCK2BEwpDuCF48l4Kzpx4ridMAAw9NBmFM/BOASpbqsNqcANQA5QKS9KJgXghYdf//V9/sL5cPrU6XDs+DHVdcI5OB7bvn2dHTl009uGdvLKS5EIYgjgMCgDnapVYIfri7cGP8h3VcdpWf+4Jv2qVKLRzuKe9yTQxiJVKZfq5APcIR+elAAqaI+F00CO8nGNMdWz58/pzciRcPDAwXBZgBq09ezR3O8E6NARABOYCbABEEen0WY8d+6sjLceCkekkg0oV1tba7516dJFqtd1FI1Beb2BF83wv7mfcYBIA0wBkCX4HsKVDL/J73LKAzCTaHFm9UcFfOmxoUrlx17h7t0fy57EaZeFHmyldekqtfD27V3GoJHLUr/6hsJbUT/9OX3sdDh48KDHFcCrvl5aUHLQ0L2r5kaHegNTpq3gjYkoPkR9qZ9EOZ/4x48RafDS/KRPauvUyVOeg8ePn/A9PzLtRWcXaVJ1Ed3MRWsfwhcFeISKOiAmf1Sa6mQeXLh4IRyWYd3Dhw/5h69du1p52+pooKVDXQfTDn9druAx84V5Tt0X5TX8tHh4SOXx6sWzQt7q6rYCdnqLl11sk8OgF22rKto3KCZeGvSDL9bu0vgXfFWmyAOVuSIgmKPzuoRBntORJ5FHxME3AEXGvRxohUbmIsebT+iZO6K3fJdkXJg4+NZZ9HWWM6MO0lyr0rNQNEHzpWvqSM/iOdWDwxzeFp7Xs0HGjh06ar500Zh3D+3Ub4kRcW6K4uvqVzziT98jQFkMjZ6HI+Y9z0fXrt1Crz69Q0fNHfOWfrKOwAdRYnIoWBAWVy9zJBJ6i0+XvX22W5S+H9EirhCMGEP+mEDYHPRaelX3utbL11Ah3la3vxbayelU5/b1YfqEyWHDls1h9bpVYevupvDbN16TZ+T6MGbUyDB97MQwQqBhr949Q614ek1CoLynhGsYiOaf7CbSjlcSC5vc8vTqmTENGjfluz3riomictQX/3xDL+ILinibPzMHMgcyBzIHMgcyBzIHMgfuhAPl4tUn8kvesqwWpa6UtYhybuRkZGbSLDrHD91FyU47VO+XooIHuZAAVQqZULc3JHte1R7rGnJouOr9SYXsD148fS7sk2PMjTu2hLXr14cdO3aECzKj1FX7xkcfezSMnzAhDB82wvvcdnrJjRJDhfYX7MUw0XO9QnsX1Yv8aUoiObojxBuT2iI+pubPzIGvPAfSw3ofOnJPQKFwF29KveFmZdFfSy1BbRoFEACUbdmw0YvB1m1bfbwVb61VAtzwWDR85IgweeKkMHTY0FCvTWp8yLXBVH38eaOvDegZHff9uGlX2KC3Drt27ZLdgl0CCo46DwBHZy0wA+X1aLiMnE6dMlV2t/oapAH04W3Ftm3b7NW3T98+YcTwEaGDjJ9aG1FgCwDdlStRo484wJ/ly5YbiATYmiKbfX169xFAcjEsXbI0nJSLdo4eT58+XeBSF7ru8PY774TzZ88HwMpp06cJVNkXFsrZxAYd6925Y6fauCwAqMZ9HTdmXJj2wLTQR3TaiGsZsAc9aPldEojU1NQUVqxYETbL0xP9BkjCmOvAgYPCaHkynagjg1evXA3bd2w3cDNs2DDzIQIzka4IHsTxijEernBQ4ONmAQWb5aDkwMED5iVA2hJ5Sz158mTorqPVI7VY0x97iBWNLP5XBXRdunApbJGDhJUrV4aVy1eqroOmubOcIzQOaTTPGAf4I+jXPzKeH8UE5/rwkUN2uLBR/Nm6ZavBX/qCW/shgweHUVI3nz5teugv78oRvIrAlucFHfEvQexRKS7e+qeC+cf84c3VQf0obdA83C6a9+zbp2OY+8IljQcAW4dOHTRf+oXBanPChPEan2EGYAH0CACE1LFt+/bcISvQAABAAElEQVSwQ6rxnQVqDWls9PxZs2ZNWLJ0Sdi7Z4/BtPYCSnvJfuV42dF44IEHPBYcWTfj+OFUv6EJwBsjvfR7586dYcuWLeY5wCnzqaMAy4ENg6zdNWny5DBSNuUqpamKxiY/mgm0JC/PIFp+dBq+Mk/nzZsXzuqZod1p06aGAf1beqguB1IvXZJXsf37TQM8GyA7nCNkJJi2OGbP87N6zeqwdfOWsEMaaID+BEDVvjoKMKihwfOQZ7mTQCULCH4m+IgDfl5CAGDwJtkc8TioHgBDwKRuPbqHxoZG82zs+HGhhwDDttYgBTCkjhsGKHkGAKbhBeD/vI8+El0ycHzshJxzDJBx4+nh8TlzNF+7q9a4hsATc0iMMjV8R6aR4Ov0fDii1QfUN/eiVeKX4JauaDo4pO/Ic/qrBD2zFZq/zocQp/le3a46dNIzXd+5U+jWu0cYN3F82L1vT1glrcI1a1aFBR/OD2uWLA8jNQem6vnDsVFXjUm9NBOlVihbhjqCrKrj8REAWZqPWsE0FMmBa/qL/03fnX1QmrJp5sRrR+SPzIHMgcyBzIHMgcyBzIHMgU/lgCWnm4hPpSgLas3yFjIiIcpvxbf2z4YJy/MqH3nJzuvgKFzy4ljyOv+ukSK5ULImL+vboJxz7bL2JVfCReEBB/fjaG9NWLFyVdixa6f2r1e0xxsYHntsVhg9dkwY2H9A6NS5s/azUtqQcImCALJt1GCMrcZ305HScvndr6YLQTjmFCk5ZA587TiQntLPv2N3DRTGjXbceGsP6pcI3DlGT6fBGQEex48dD4vlafPV11710TbAJQAO8qEJha2s+fPmh9VTp4Rvf+vb4aEZD4UuMqpPHuoA7CIfqsnLli4Lb731psugSQigglMNLyRezEJYpg0sGoo7Ht8evvOdZ8OQoUOtSbV7z+7w05/+1GAb4N6/+Yt/Y0AxAQbXbuhoq0ARQBIWuF0ynvqP//APAtG2WDvsP/6f/zF079EjXBZw9/d///f2ejxIx/MGDxmsY30d6TBrZPi7v/s7aw6OEoDXSZvw9+e+F37z8kvhzMnToveyaI1HQtfLxfsH738Qnt/9fPj+978nBymDiraLqrQKomm2XF6Gf/e734X5C+aHC+cuhCtoOeqtCmAhzgmWLl0qEGiaFtAb4X3V10M0/ut//a8MCpUvnunaKtpayOEpBH+8qyn87P/7Z9d1VlpZV1TvAS3iv/rVrwzMTdW4/Pmf/4W1vViYmZoeWwFL69avMx+gAY/JAJu0A6C3YtXKsHrFqnDku0fCU08/ZQ1DNNpgE20zvk1NTeG1V18LH837SBqJAtkESMV5cV3apVVh9apVocv7XcOOp7aHb2ssR40cVTp+TDsAl4keaHIf+dYYOl15iOctFZ6a33rrLQNLaLIB+iUQEVrQhFuhf2gvThJo/b0ffF9g85TQQaCX7eWpIfq3QODbP//zT8PgxsYwa/bscObMmfD2O2+H3R/vLvWf+YjziZX6EQQIfP6553Wcc6jU5asF2ESg9YIcAMG3N954Q0dAVwowO2Yt20gTBn2vWaMQEAwA8LGZs8IPX/hhmDBxgvnreSqa+PZRdB5B8ZUfRgJage+++274QF7J4ftf/dVfhe9+97uqU3brCl65LFqNyks/3nvvvfDzn//c+V944YXA/GYs8Zz70ksvhVUCq6M2oeax2mYu4egHQK9O2rzjxo1zGzMeeUSedDtqbDw6HovzAt43CeB/9925BlX3a45dEFAatWZ1xFt9XCpwevGixWHOE3PCnDmPh4bGhlBb3U7PTBxHgPB/+Md/kEOOpvCs1go0HJdobdkPQK0XD1v0EgIbJ9OmCpyWNmrUChUzIEMCS3nwXCGaeaS/r08Q1zW+BHer6B9j7qP2GjNO9rMCV9Ro7ZQWd4f6ulAvYL53z95h7NCR4eHJUyXArQwr1q0JiwUcbtzRFNYKIJ40bnQYKyC4t0DwemmPXqvA2IDWTNVXqWvNbDUKEMm3jiPz5lc3CTYk+c5Dy/G683I5Z+ZA5kDmQOZA5kDmQObAN5sDraWoT0i6RDiTPj6RGHmX5MlCkHY+y80k8xJfJpxu6HTJjQrtP7RJpBorlSiePcYN7dMloIdLZ8+GvVLOWC/FlGWSK9du2RiuCThslFLCxHGTwvhJ40JDQ2PoLICwRnI/Cjr+U32RBr2IlrCZ5Fr2INqgkKr21CZbd6TN1B+nEJdD5kDmwL1w4K6BwvJG7akTFMkrBClx83369Jkw9/33wku/+U3Ysnmr1IYrpD3XxxpW7Wrb2VsyWmz79+0PixYuDGekKYTG3WOzZ2nzWu8NPJt9NK9WrFgZfvqzn0kbaaNs6V0OvXRkeeCgBmkg1hl0QsPpsNyoc3yTxeg1AZPVNTXhh527hr7S2BvQb4C1nwBE1kvNed/+vdZ6q5F2HwtLtKlFB+Lat0wgDsAEx5unyW5XL9n2wqkJC+QpuWxH247jpQAdlOXoM4H44zpajfbai7/+tUDSJdYWnDh5kvuEFtR2aaXt3b3X9L72xus6utk5vPDDF/T2pNZ10MbFi5elabYl/Ex9XrFyRTh75qwA0G4CPqXppo09Wl67d+82EEWbHEXGjTx1JBCMyrxm+iLSXr6Ikgr4haYmICEAHpt93ggBwrDInz9/wfylHIs/IBzjfPjQEXtJPnzksPk6VRprHB+FX3v37PUR8zUCEi/qiGqv3r3Cw7IzETUCI48B1gAj8bSMIxV4OVLHHftKaxOiLwiI3LF1u7Tc9oWXf/eyNDhPhf/xL/5cxmwHybsrAEXRN/EKfnEstxR0z5gQT9i7d2948cUXDYSdP3PObQ0ZwpFKea3WuOG1mzHbp3mDt60FmosA1F0EnkwYP0FOHXhMKgSIVas/l8MJgVG791aFDz74wADpRdE6evQYA8NoINJ/2kRj8bXXX5ddjVr/+Lk9cELxcd3adeGXv/xlWLZ8ebigse0krUu0QzupTdv/EwCOtueuj3cZxPvgww/k2atK4z/Eqvk+SixwMw4wg8O4aR4WfOB4+4MPPRTmCvwDKJ0/f36YLWATIJlxhYY0N2ATz8UqAbM8Q4MHN1qjEN6gZfjmG2+ad5fl8RqwvL80CDtqzlLDaT0LgLwHNN+xdwfPAQmnT3/AGsOMA+1t0guB3whsnCdQGLMBaJ0O1Rh06yZNVf07Ic3CPeIbz9xZCRR4cn7++efDIGnNthW4SR08a9B56vjJsFRt8bKAI8kTNUZoNu7Ry4B+/fqFtjqmwHJEB+knQLAfciYDgb7rL14mLvj2K/9Bt2LX6GPsTvOzoZcDAu/Q+0PIunG1RoKWFQ71bFeFGj1XdTIcXS/t2oZhQ8MkaTuvWr3G2sZrBXpv0PwYLk3b8RPGSctwmtajHp7bFdIMt9Kn5jbHxHXAX/zXM8lfVXwGE5fj3VeezbkDmQOZA5kDmQOZA5kDmQNfGAfuVJ5K8lcitPxeYtqnB9JdQBf8R6YnTnI10RUVUrpQAqdL0CRkJ6atvmT2Kz4Rd/78WZ9IWr9uvZQOVkmpYo+wxYowUvL/qFFjwnidrOvbr6/3PpzSQ5lGehaqx5sl1w0S6D2LZM2ICqLoQktqyMIst5E+xyka2nLIHMgcuHcO3DVQ6E1o8TACGCTVYEhi4bl85ZKArs3hlZdfMTBWV99eR3Gnh4cfnqEjjcNtR+ycAECO46JxiHbV+k0bQ91bdT5myuYfhw1oDB7T8eLlSqc+1qfx48aH2XNm63tc6CrtQVoHsPhY4NOiRYv0t1DAw4mwft3aMGPGwwaEAGlGSBuGI7zYSVwnsHDM2LEGHNHQY1PLEUcAouPSjgM0OSVAAwDicQEsPXv2EhiIjTc22fGIHe2yG2cBQ4uM8gBpLFAcsXz77XdCY2NjmD1rVpg0ZbJt9snQl8AhaQm+8opVr48KmEET8MknnhTY1z+CK6rj2LFj4bcv/VbgyzKDJABETz/1tAy7PmhQCXuAOB9AC2yrjtLSp6SFaXrEO74NookeaIJ3XCUAjbue0g56Ys4cHavubc0xAC5Uvsfr+GdvgXaNDQ0Gl6wdxMB64EM4JIAQcHGcePjoozPDeGm6cVSWo+Bowb2q/mG3cJc06lYJZOAYrjXqXL4ivDt3rjXeTkvTkmOuTzzxhI+uNjQ2iMIKg0XLBaK9O/ddARWbxaP3Q28BVP/yX/1Lg8P+0VAfEz30hT4SmDeMJ2PB0VuONTMvsP/Xt18ftzVt6rTScWa0RDlau3zFcoN/u6VNuklHXDdKC3GkwLvkRIX6+Wni6DCAIuA0wNQTjz/u8e2tOYKTFMDsd3QEnWOcJ44cDYt09PxBAWeAYlXtKk3TO9JCXKm5yDH1BgFzszRHAFNxNuG+qTcc614qoPn1N18PJzWfAfv+7M/+LHTEFqA8Qqe5yLj77ZpoA5gD4CNMnjQ5AIiiTQk4jQYnNAC6WbNQc525gHYq8xWzAMz/hoZGa0CSjzIrV60w+IxpgGeeeiaME1CEows4fkyavmifvSNtzR07d/pvtcCl0WPGGAyEV3t0JPsNpc+fP0/9PRc4Gv+ItA4Bl3musJeJ8WKeufc/eD/sknmBDz/8KDQOHhyfO2lEEuALASB8l47g9+zeMzz5zFPhQR3v7iZDx5u3bpY3tB4WOJxRH4lHfEe+xhRfF/WVX6dyLb6Z9i0ivmQ3RkVFE0TGh9zXaHzSRYQ4/ojExIGD5gwvPhDIAA/RqNZDI3VfAeKyX9hFa+L48R1Dg0w5HJo62UamFy1bFVas3RBWbdgc1m3cKo3bCWGcHKNwzBtblTf0FliIvWiI8+oGght8d4Nad3QRrx1xZx+pP3eWO+fKHMgcyBzIHMgcyBzIHPjacwB5CrnqlkHyU3ly+XWpzM0iS+WQnHnpGzOxX7BI5g/iAOz4w7GI9iQyPn9VACFejs+flUKFFD3Wrt8Ulun021bt9askY47U6arp2puMHTEqdNP+s1Yn8qok41dKIYOTL2xmgBt9Yky3YAvIkTQZqUhSpYlwrEV53VqZRTRiL9HyphOUJYfMga8VB9KTcH86dddAIY9s88Y7PtzsSnkuASvQeFssW36AD2j2zXjk0fCCjk4OH6IjmNImtNdWARGNDY0+HsxR0zfeflv243CNvsaaK9gQVFU6gnvJNvE6dexshwnPPvvt8JRAM7tH19sHa/NpcRk1YqSchPSwdtgSASwnpGmHvT2AkBrRAHCyeOFiAR8rDUw++OCDBhboi8EW1YFWHXboDhzYb0BipOocNny4QS48fMbA5lfXxTrlxc19VwQMUNo52WEAlPmjP/qj8MijjxhwbCfNqCuqHzCorq69NQbRZgNQ26/20Hy8IXVtvA9v3rpFR7LnWRusobEh/OiFH4Unn3qy0DjTxl6aa4MaGkJ/2Z37xS9+4f4A8kBXAgIZn/LgOwE3RIv1BjcHN8jdvABB7BRilxENMrQ1/+D5PwgzHn5IWmzVob2AA/pedFflOVpb4WOwP/rRjwQoTJBzhBo7oxkgO3GNopdjxGgCHhYAhJbYGWmJAeIAqKLx+aEAzqNHjsmZTQ8fqQUERWMSj6ocZ42AVYO0RgeGf/qnfxKIuU7g29sCJR8VwDvGx8TpT+oj39BH391PfXN/8eJFa6HZ+Yvs4D388MPhB9//gUDH3qYX0BcNvgFqZ1DjIM+DF4+8qB+5s+GoQM8r0qITClIaa8aWG2xs8hbsmW99Kzz15JO2ScjRdSbsQAGfgK0AqevWrJN24b6wZ++eMEbgGU4kzqluHHrgsKVWb9D+4DvPh6e+9bQd3DBPrbWpZrD9N0Jzb4sAsDVn1hqcPCCHOBwJrqnmyDA2QWKfoQuA0Npzog/+oT2IbU1sc6J1yhFiANu20EmAZ5qPaPABoB85fMTzFJuXlKWPHCk/sP+g+T1GWpMcI+8tUJlxYiwHynZkP81BzAUsl+ZrR/3oQx/t83dJ/F+jdpfLhuMZaRhjc/J73/2e1oMZoXs32SEUzfygozkIqMlx/V/+8lcGF7EFOnrUaNuK5HizhZRiEnJcmjo4goxdUsDcQRpDhqe2XfvSsYU0XvE79jnNGbNABcrviWsdxKYvdfBaVKKQ/kiwEs3uF7TreXIfNB4cDTGuqAjGzyqFWhOsLa1yNyq1MEjoq9a6WqlylZ266gVAR60zAwSajw8rZVdmzao1fsmxWS92xmg8J8i+4XDNU9Yixv8684qFuw1gNmBlZGB8QuO1hU+IdOA7DmwxvC6T1rFSlpg5f2YOZA5kDmQOZA5kDmQOfOM50Cw9fZIVhejVMiEJWUUsecplLUtl5QUlHyKqWf5WGZ8UKStzXXtWXjRzxJjTfjgW3K89HgoamBbb2bRT+5IQxkhBYPyE8WGclC8GSMGiXuaKquRc74YUcAwFqk3aiF6Sk/yKdAtFkhjZ0xW0882lRVinQpiJ8nfc/RV1KCmHzIGvFQd4JO5juAegECqhVn/xf/O9nuJzOk65ZvUqOby4ICcRQ8K3n3lGm8oI8LBB5UEHLKzVUdkBAhtmzpoV1ko1mUUFF+mnnnrKzkbQNurWtVuYPWu2wYR2yv/Q9Ad9lJN1wd5QtQFm2agVoNNPR5t7CeRoq43udWkjAvy5LeUZIQcIABVbt28VSLfNjhk4MooNN8A+juhd0lFbnEock21FgB+ODNM+6tDXdPQxahOqOQWO6BKgg1WLdrysKQK1aZwyPCSwrZucrFB/PDIrD6/aTOMggGPY27ZuMxjI0UsWQo6uAtxsWLvejh7gD8f85syZYyCNxth4t5HWTheBUQBB2MHDoQbADkARmmCATdSXAmUcrzjTUqywACz1VbJRVldvXpIfJzNoUnYQ+JO001Q8dlQX1NtBx4wB7eAfmoSME61VVlbbC+5YgXlzpTV4uEKah+oPtihiqJC9xQUa5ybRc1X26B4X0Ab4hGZZtL3IeBAAgtFAxZ4dx7ABrdD6QzMUjThrz8VKC3At/qQQlXoOQDhB3rNIuaJj0GOlhTpAoAf9Tn2jP3XK17dPX9keHCInNbVyciL7lxwrT3xUhelHiVGmfebTdNnDAzjjPgEi9ZrXEwXINTQ0aC7Ho/IA59cYG81H+vX4nMftLIS2H3rwIdl9E/gmmgjWpNU84MhyX/2gNjQ02hkOAPKpUyc90TDq64mncYnTLwLAsd/MEXlNrqkOk+UE5c0337SGKsedOboLCOi5obYBZTlu/JGcgvCsoCGJzUv6A8hKHKD0dR1Rh/94GQYg9QtG2tDRfY6Lz358jjQNx+vHv17jLw/IAkF5zk+rvSa9STwsDdmucgAzc+ZjYabmTU/GW88UIXoHD6YLvuCw5LBMEuAgZsaMGaGf1ofKNnUaU/VONNM35uZYabNiLy8e2VekjoYTGAfyeBLwXXCIq/KQxqs87it9LfbQ7xb9Is5sE/e0TEZ9Z8N3XqO8hClds85jekNjwusGa1crvq2EOJ7LKgHYIzS2A/v3DZP0bK/fuCls3r4zrJYguGL1WntHfvDBKbIPOVlj0ie0ESB+vQJPdYyxG/DYcc1dCxpL6Yont8dMF7cKRXXOfKs8OT5zIHMgcyBzIHMgcyBzIHPgFhyQPCaZOobm/ROSYiGNOYkzKdz7Za8ESk4KxXJtwlXKX7kWrlw4bfNNy7UXXbx8ddi+a4/M2bQ1QDhBsvqI4UO15+0X2ss0UVvtEzFFVoEpHMmc1OV/EmDZScZP9vUx0DKybSRV7bHn15e1BlMmfSNXpt4QXX5dls2XtxMzW+fP95kD31QO3BNQyIPWcsNHhJYYPZ3HZcetaedOLy+10iCs61Bv+4EkxmNwPOtaIARCXLl8NVRXVRsI45jp3n2ycSfwon//fh4XvObiQRjPm7SH1hWOTK4IfALEwGMrmnnYLEN7ap+04vDKi0MH8qkRl8Pm3DiBdwAQO7bvCNuk6cbRyQ4CydAqoz8AKdt05BObddgOHC1Qqq6uTrRGpypkYtEipG/ftPqgvil4Cu3S1YAjoFM8CsiCV2E7bn20oeZIKGANHmFZCNmgczxzR9NOA1VdunaSodfx0ZkIi2MkwBRQD4ZfsW0HWAXtLLjE32yBJN7FI/mmGLsSRMcPscoLdtEM2Yu8LNBcApaRB23JhoENBtgAtjA6CzhJG20FLHRVOp6ZyYsXY/oI6AbwxBFa+kudY6QxdlkAHmNGBPhXmyrxWiAvPLwucKyrxgFPwni7BUTCfiJjQt0pcB37JzrStRI5EonnVrwZQ59BYQGh1IF9RsDVi5cu6uj6mXAIr8ibNtiuIj+EzCvoTsxMau3UTz0D9KMH4AWgTNv80UcAsg76MezcuUvAVuBl5qn6bf4oDTANzcYr4gs/jgB6ALznBFJfU38BBLEriC3MI4cOBxzx3Ci8iAHe0evmPtJu8YOqBEAh6LgmbUPoGjVqlIB4HR8tNDs5BtxDR0Wpg3zUx5u/pp1N5hXPGEfB8SJOeZ69rgK6sbm5Zt3a8N//6b+HDVM2hl6qo5c0HrHdifYk2oEA4oCviRe0wXN0QGOLzUE0VTvqWTtz9ky4sq/QhtRzocYkHMQ+wROcEeHtDA3Hj6Vti3ZqXbtazb84GeEZcwLAs0aAFNJCZAG8UEVFvvgFFQoasyKxNG/g4dcxuFviQ1oFLIARKVbDH48PqZosvB3mH2zzCujpXpTUuAD88yMBKI/9S+bqaL3oGCAtzodPnQkLFy8KH0rzeZ08WQP+b9iy3eYRhg8bqvHuHSq1BuhBVv2If6IBlosIni/o8BikMTPN+iCbO0EfHBmHqRTvSlyeHLHSmCV/Zg5kDmQOZA5kDmQOZA5kDogDiEsERCVC+k43krWi3EyEpDTlj1mKgrrxfoN4rkklk/5fvnrJ8vkRmaLasmWzTiYt10vkDeHyhcth8KCG8IDMjU2Q0gSn5VBGQUGjjfaHhOsI/ZYNqU+ypvbsfkksOTPuaGhfaQqWHblLhBa0ODnFOWdRQvRROofMgcyBe+fAPQGFfnxZMBTiY6lr/edIJFpKx3XcEeDjoECKX/7ilwb4nNcPMZptAoIErPDwA9zgFIF6AAaOauEBNACsAKRrV9MuXK1Svapr9949qv+InCKccjmcYQCqRCciBwU67TMAAhBEHaxuXuhUD0fkBg1sCB/LDt32rQIVdSy0f//+evMhw/4KaOftbNopTUhpn40Zq+O9jdauQusJTbvSBrbV4uTCrGlFWwBDwwVQoSXmjXmRv/wa7Ug2wpVaHU2f8qCZB4h2UgAL4FtXATVsymuk4ZWOOLNphycE6gMwaWhosL1HgBr+ytMTzeQHxPLmmxsFFXfbrjtGMYQGnPSpdEM4ilEseQ0kyGGFjojWdagzUAPN5UBopcaMo6lJYy+NMaAbaul7BVYBDjJ1PpRXXo7Ewi+AXY6R82NyQfb/sFkByIg2HvYAAbVOCgzmG808AEpXok7ABwdVyjVt0m/+oKed8uJEY8e2HQEHOmhwcvwXcBWA+fSZ0wbTOHJ+VnG1AiKvCUSErlQ39CZeAnZzbBjju/Q/Bfie2qxGM1L8Zk4DjKgi5eWRu+Gj2vT1uOjApuFRadyd1vNyQaAlcWjkYnfyhOb4FoGjFy5dULkKg5eJhjTGakJtxj/TofsE7ADoYtdytbR7D6s+bIFyBDodcQZ85djxJY3HgF4DwlRpSALCEsjT2NjouLnyoHxKfMJWJDY2e0kDEi1Qnh2OpTbouHFDQ0PoI/CQY+jQyhjB82Oay1cuXbFW4/sffmBQCS/HgNSi1HxBNAC4whjyro+bdGxbYKLWDmyNApoy9zwO4iE39TJLAJ0GaZnTjlcSgSzlQbz5Jgd4Y/4wBc1IzRXFwRZPS+I9FmKcJpI5rI/rzGvNZ99r/NroZQ42ZirbXrXzJDSau3aRE6Lhw8KaDZvCammEL1mxNmyU46rxY0aFB2TDcIw0eLt0lSMorZ2Ajmn9AfcGOgTh5fkgoNHtOa3bOMfVskhI9nEUW8STWXRCs75zyBzIHMgcyBzIHMgcyBzIHGjJAeQrZDgJSzGhhcgU90vIWzewU600ZEREK8qlvQaCIrIip6IU6TyYFTp65IBOTa2T3LcyrNu2U86N5cW4f0OYMGpkmDhqRBgweHCo7yzb7NpLVGKuyOK+Tiixf/XGBRFOMiakyWC2SdO1KSUSuqDcGSL5ptAZbtKdUhZLuukuf2cOZA7cAwfuCSjUM6zgj/gVI6yFhT0ywBrAHwCPt2V/EKAIcITFh8cYuwbRHkEEDQEGsCd4QdqB2FQjsLGkhVNyerFcAMWC+QsE5u1S+ikDRixWAD7UfZXyBgflhUkLGu2jGeWghQUwDHt8Q+Q8Ak/CAI4AgxxNNRApUGr1mtXhoGyyQceESRN1lLmvtceoo0JvPz4t0Ke4nmlR1araURqMXvK0Ga4s7BsaVFImQNJSXja9+gf7+ItabgLStKjWSxPTwE1cOd183PQroyrgGq05NL/QwCMkrS7fFB+lBT9Fli20tE1dcUlWBhHBv0gfBcgMjXwyGuKl/lUJ9DItlIXwIsSjpFErkCg2/2h+YgeNsb0mNXXmBUdPP/jgA7cHSEA5qsGwLW0xHxhH6kZ7lHjPEY3xrYKpKGihDgKagTh8+UgOMgDd8Cbso8AaY7xJo41Kg4CC6Y9uAkSaE6KBPvC7xod5oHS0qwAhaY55Sh3mJdn0l37cAHwdII7M5BMvsOm3cMFCe+HmiO5l2Yg8L1pwVAMdzAPmLB6OAf6wC8n8hpZYN/WKGqrUpfleNEV+8qD5iOOQV+xcZrePGD/33HMG+NBcxFsxvCHv0KFDbSeQKnie4Dvahd/73vf8fGAzk/zHdSwfIHPXzibbGOks0BiwevjwEXYsgpOS7gIo6Sj1XBb/GcfjR4+HxScWe34q0XER7HEviBLf4G9wP5kzODzChEBkGjliX6skVKR5XuJvTP6Gf7ImtGKB5ovnnOef0pgvnjOR1y7AHCXdE0kLjwowFo7THVq+zAeOiqAfWKG1Bi/J3aTp2VGC4MDBQ+3YaK1sGC6X0Ih5gbXr1oRJEyfpqPnMMFT2aZgnESiP64VNOfCsq02axiZi0o7lPoKAdMaEERHJgw7SS/G+yR+ZA5kDmQOZA5kDmQOZA5kDBQfSnsS3FqwkOUmGKgl3yPr8057VsiPymJJ5aa8dUWmPXmnbNTqFdfGK9igndRJpsx2HrpEn43N6mT948BDZIJyol8RjbVYLu+WcKmsj8zU6juK9jMwZqm4kSEVRH1dutCAMIqNwx5XTym9jZPFJQlmxFmn5JnMgc+D3xoF7AgpbUOGnOT7SLEyAdNi3ulJ5RRvJTj52yOLE5p5v/gCbWBS8QAlIM6AkUKBHj+6y41Yf1w9lOCNtr8ULF4Zf/+bFsEE2sQB+anXksFa23gBCUGuuE1jWSccRsa22fVv08Oq6veKxsVRDAufqpYU0XLbluuuY5M6mJnm33WRnI9gNxP4aLtxPSjuxS7euYezoMXaeEvtJ37Qq8Z86y1Yo35YxI92zGTdGVERwzNpgo+4BN+g/WlXUx2aZ/lMvx6XZRAMMpfZsMwywkbogxYt55CO8pnwKpk75Ip0pliKxvuaY5qsWpVUBdbghJcA7mnUoawcaCgJNO+25zSIP/VGMQQU0A60BSM0qBlCKllHjkMF2qEFdAIeAYmhuuk31i3gAI2gnHRt6zKHYtppXPGnWstQ3IfEDkgHcdu7cKQcZv/SR59MCmAGrcZRTqbnDXKvWXOosUJdj3MfkpXiDNPyg24Ev10vdjFkRiFd/KwSAFc1GppkExZPTg++ZR1EHaKOPq6Th9yvRtGTxUmvDYo+wg+Y8leHsBm0+jq13697Nnoc3aF7iCIfgcSwahd/8zMdW1Ij4yvOEpTnaglcNDQ22O7h79247CdkgG6C9ZNuP52jHDmlYCvwDjEbTkGO/BiVVjrLwCecmAH9Dhw7x84HDG7Qwjx0/ZsBwn2xQAq7v0HO3Y8d2afmeC3MefyJ0FMiNdjGwE+ONvc2ueq4A5Q1qKwEtQvdJz4GgfV8DCN/QOkBKbx1XblNo5XoSwm/98/iouwZozdxYjyto/QHvPyW5dfav7D39vFnQXPFz6DkjRsBm+KH5GedSjDIb/dJCEGEcCuUjo270LFfwPLoM4LjqFGhYoV8QAMPu8nDcqW5EGNbYT+YEhocFC5fI8cm6MPeD+To+vjs8IJusOD0aJO3oOh0rr6wSsZoTFa5flyW61Z7o9EqobyhXozFDTNI9dFOguRR3OWQOZA5kDmQOZA5kDmQOZA4UHEhiEqKUgvdpSISW8dAi1P5BeaJMFdPJh0SuzYDyRUWFy9p/nJUSw65du8MKKe2sWLY8HDh0MHTp3lOOLx8JD06ZFAY2NMiLsfZW1e1CpfY0N3QKBfkRSa5CMqKqswxJ1RV+/6+GvamCAPYxal9/tw5lqb6kRA6ZA5kDnycHfn9AoamMDzEAEJpwPPJoXA1tHBx++McvhBo5G4iaYzGfgUEtPnwDahDYuLaVplajvKCSi/hdu3aFN+SQYd26dT7SOk7H2UZItRkbf+1qa+wJGK06gJUL0jDE2y5el6gAQCLZlmNT2ka0YT+rn7zzNqlegMEDcpYxQEco18oof9OuJh2TvBQefWSGvTFjYw6aWFzRfvLGWnQV+1tIVmAbHvvkW9Y8/UPDiw22y3oVLha1YjU0MKLFEc2d5vJylNG2Rn9VepcTvUfj9dntqlHnY5Ouf4kutMxwGMK3qYGXLQl0PB/px6AU4UgSihjVfbOQqitt7FUROSM/Yod8rJAG9D9pAqJ1COgDSAhoV1tTG6tXhRxP/uMfvmCAzoCX+IUGKG1xz7xAszM5vaAtQGdrTyqNe+oE0Eq8SLxm3gCYAWi99fZbBgk5wtrQ0CCHJmPlrXegPRB3EbjMEWKcb3SUXcGly5aFXbIJiGdi6ADQTcevzf2CP2ra/Yw/bdzAi2ImQD8/evwqqhID4UrHwzAgHMDJiy++KK/gS+wlbISOqOMNrLdsulXXtBU42F1gmoBC2f0DoPtv/89/s+3NyzqCnfoZW6RSWo4BWiONeu7aypkPPFASfMQpCNqbaCty/BiHJfAOJzgcPzZfxo71kdLET9riD0/NDY2N1hp88IEHrSGMaQGOcO/ds9fgIyAkwCHPE96cB+oo8rix4/S8VdmgMXRxLPkJeYgeOmSw1wXAQwd3Rh/wR1+0icYpti4BTbt3ljMg9QHeMSZmdJEvDkIZE6jQ9bnm235A19c9aCqKJYkpME499l8Rp3nqq+I28rfgi+e7EjQmXsuUF1ub3Hv8PCBwsFJmCOoEurcXsNwp9OzTP4yfOMEa2hv1cue3v/lNWLF0eZgqW7PTZLcGwJ81G/7HNYW5G18w8bzRnOPTHGHsaaY0XGQgIofMgcyBzIHMgcyBzIHMgW8eB0oi0a26ToZCVopSVCqhb/3XtqE5na2j69FFcXVNMt/Zs2fCHpkGW758eVi1cpXtjmO7fM6cJ8L4SRPCcJ1G6i5nhZiN0mbP+2yfPlFlSHYoukjVQ3JdVGSAjhveW9FaIk7fvowUmIxP+1C2qGhQlP+0vDktcyBz4K45cE9AYbF1i43z0BZksIEEtMML8SUBNVXS8sNDKV5lYy4ACF3FXb/jAAbQcAIkwLZbjbSOAI1wNLFj+w7bsbt08VKY9OCk8Id/+Idh2NBh9h6LjTJs2VVzFFHfHwv8uyFtvGuuWxRqgfJCqFYAr1hS+kgDcaKOG2/WBhZHERs3bfQRy5VrVhkEqZHmE8AK2mZoAPr4M/1js+p6VcltQgQ+6WRs1+CL+hM32VoP1U+qgh4vybqhDEeTawSUdhH/ACxP6Aj24cOHinYjh+E75aiAMkePHrW3KbcZs9BAzONsyg/DY5FSvIlzbExzulAF99H16INvkIZ4oYXZBXRHPigv7n0dN/iR5xEgpS4AHhwhEGrrakN3HVNFk41jxGhy4tiDPqPqXikVdQAsg4Rolbm8jq/q6HF1tewearwBGGP/Y9vln+Rn/pGOPQ0ArA/e/8B2/xoFXv34xz8OAM2dpEHI0WE0UAEiAdkAEitX4B35srvLcUu6bXuI0K+6Ix+KS1rxOBJPiMwpWB3teSgWXvFDCT1oR+LVe+P6jbbfh0drjvbiJRqwkvpw/sMParX6Cr+xo4hGJuMb5w010lpql7bjPItaqop3hjgH4CW2OYcMGRKWCJzEgc7Bgwd9tHn16tV+zgArBw8ebJt/jF/qJ2OBnU+8cdfqmOkQaRU2NjboubwkMPWctSFxlMKRfcwL7GraFT5uapJzlF12pFKvNaC9NH+hG9C+saHBnqzrcHJR8C9yLfKIZ5TnnPbaamywzckz7iCy0osGesaz5Lnagg+qDfI/JdBeLPcpmb5KSbfpb3lXEu7Ht4E4eCqGNT/irEuaX3FQiiES6OxnkshCgPQc0SthPTuugfmtNRht6GrNk/79+svMQ095Qx4cNktTdaU0aJcLKNz1q13S2N0QHnn4UXmUnxg1TKvlHVlgPwPHHPd6bSHSI+XxZA1pHliI1/9EJNlyyBzIHMgcyBzIHMgcyBz4pnGgEJVadzuKhsh3UUiK2Sw9K2uM89YtXrp4BXtAiXmXpXiCrf6jx49IiWZNmDd/vkw3bQntJJNPmTolTNfehT1F9+5yKljPKSHty7TX4OBbG7WHfIk24g3tZdiD0F5qhrjryHhqJ+4MW1N+m3vqJov7hRCbar5NuZycOZA58Jk5cNdAoTeT2hyybUwgFMsAwALPbGfZzOslZwc4Zjgs9WSAoUGyd3YdwIAFww82jzraQ1fDIWkALlq02NcNjY1hgrSR8ByL/ThAjaPHjurIWl0YKU3CyVOmhE46EmkbclrR2EOyEOGQYZe8pO7esydckWYhdSctpAiwoGElIEYaUgA0C3Wc+ciyFdKqWmvNrR3bttmRyhC9HcGJCY4qIqAQATD6FjesZXz2BlbtCJw0oKgkL7y0rsWQ5cxdpQgJrGeil3gDbSTynzgXrBR41sGgDfYYT8l79Pp1G6Th+KiPhwI4ujQLpf4Aa3YI+OFtT9RcawbKaIfmHAo63byvlVYkAs7QN0erjPupDbvfAmklB7wkLfKCUY7aRJEXsZJYJWMRgYZkS4+26as5rwarpVU6QUAdtsxwdPHu3Hd95HWQQDw89eIJu6pKjakM/AMkQgNurTTf0CYcJltnePJtq/jrsnHpHyATp/7ohwebfgBIxF8R8HdIcwfeAHT0FkD86MxH7cUXqmmLecEfc/DggYM6ir4lnJf9vTYCq4XsmYGe62qDuVMKumS8/GMYO29++og4P4DigzWunC/yDkASY7/75TAF5zvUO04A4bQpk6W+310at23N+0oBLvQNLmzXnNyza4/nNm3jDZpyPEPMOdNf0OXxhwf6gw7mCsBktYBVtDCxxblSjkvQoMXTMfYZD6nP9Try/PBDDwWcU6jySIPG/IK8MG/W0XyARcZz5IiROj46XuBqjceF56OHhITBjY2hZ88e5h9Ogi5duaznCI1MHUftFL0TtxXIe0wOW5qamsKkyZPs9ZsxYowJAETkhy/LpNV5QEeZOwhgHIP2p+ZGe/HE3VSeNArkZ560DK3vixzOqg+XYQZTtMgrXn2impaVfsnvin6UqKR3reLoYim6Vf9TOaUzyx38lQrAcyJ4VhgvcumZVpROk3hcOMZPkFyoyEqBvLKd2qYmtBvULnTV0ZQhsmE4qH9DWLJsSdi8YbMB/C3btlizdcSw4faYXSXgHguISI8YuI5NxrUjjjVR0AD92A8l6DNeqFxce4iFcv5iaL7iPmUvEj/1q2XJT82aEzMHMgcyBzIHMgcyBzIH7pwDhZCRxNFymSPuOmJMSTazDCQ5xoJMszQTr1Lp5juJRQjYEoiQ3XxjWZuXvq5Tm09tGbwHgmiUDS5dEUB45Ij3CStWylGJTgpdlL3wYXJcB0A4edIkmfzSib6a9qGiLSW0Z5HoVilzNOzBHGjTtCKvKa6IZ19Eu9BPTmS7VKRZOEv9KuqKNZZ9topPzCvLES9b5ftEeo7IHPiKcuA+Tu27BgrTxh5aAWbSUVNYDgDQWZpiaBGiDXhMYOEbb7wRevboqWO/w3RErcaLAwAUgMZhLUjvvjs3vPrqq9Yye1BeWjl63EF1JBCLBQitw7NykoLH3FDRwYsNm1U0D8/LEcRaAX5vvfGWtJp0fFgACSHyUptN0Rg1A+MCNWzIsDB69Gi/IdkkDa+2AlV2CeRgeRo1arRo7SEwSpo0gHcCjNggU8d1ASZp0+oGAIW0yl1Ve23aaLNMO1p4oeuGwCeAHfrJSmgwUe1c127aS6fodl3KzD/qgcaOAldGjR4V6jrWh5NyHLFw0QIfl579+BzZfevoBZ3F+NKly2HDhvVhwbwFPiqrFlW3/sQnVez6iPMYmRfF4qsI2o/9gNCibcU7hz74CYnxdEk/JKKVNvlBSUdcYxYAHlqgi9QZfxxoNM0R/zCoOrSNagQyPTTj4fDO3LnhooCoxQKHAf/+xQ/+hT0pQxn8uoZ2oXi1ZeuW8Itf/iKs0RutOgFHzz//fED7jfphsn+AVDdtR7A2/gihgWf64K3Ghro4Ao335C5SmfeRaGWABzgN+fjj3Tre/kZYqR9FbAi2VX8ZU/pA3fypIjXKSPEVy3Ks3WmuK/KBMjjqQSuO+g2IiXGAdjAQOqkFQPa0wLrzArV7aH5RDyBhG72Sq7heFQBSfqMjm4ePHXZfAJMBCAEnExCb7DdSlnbQylVynHMiU7ltx7O9tLwmy7HEb2RgGPB59apV4cjhI37eRjeODlMEvgPilrQJVQnHrxctWhTe1LF/ejZr1uzQT0f0e0rTFn7GcRJveTaUH4cs9Jd6AHUBRtHcHD50uJ99AP/5eivJC4THZ8+x/UXqoAz/0B5evmy5bTdyPLubxqm9QMx+0kS+rnnjfMrLuBB0qRB5ztWtAjnimBUXZUW41Kz1363Kf/Xi3duWZKujzd1WeussRWJzHooXmcToOP8pxzWzkDT98Vwo8LwwPhV6CWPwXDP1upa9qgpMQ0gzVOYUunaVncshQ8PajevDyuUrwtz33wvr5PH8AQmej858zC9Hatu3k8ipdRT3eFpXrt7AxqWeQdWHSQuvPZChfyVaIUU3fEV6fKUbMpIr3cer5jsK3DqkkqV2bp01p2QOZA5kDmQOZA5kDmQO3DEHoiySJIx4x2eKsejiG8XGZCUW0g/xiitEMCeT4qA0JyOTUZR87F8Uyf7DqnzaG+GsBCeTpLOPZ796TjbGUZqZP3+hFAuWy2b/6dB/QP8wZ87sMFanQwY3DpFM10GahTVS/EHuo7EIECIZuhGIkEzIXSScnQiBvPqvMsiJKSpetL6lRJGnPENxHeu7SUKLqFuXb5Et32QOfOU4cGdPwO+jW3cNFHqp0gIDGGC7Yiw0WogiaCJtEoE6Mx6eIe/CK6UR9XFYtnSZwQ0048ZwzFIagRwx3LtvrzX6PtCmEQ/E9dKmq6utE0jWwU4n0F7qJgcI2I9DO3GVjji++cabVn3GRgIrHIAHXowXL14S1q1fJyDklHnDxpXjnl6PxFMchEAffx061Es7cZTUpue53aUyznpaICTHK0eOGG5nJqxogGPeAGu1BcRDtRpNRoASr3zut9J0Qz5WbWCMtuKL10+1i+ZaBJkgSws3m2oWQC3UbQUMoTUX7Si6O9pUV4VRI0fJW+ij4fXXXrcW1j//7Kfh2InjYdrUaQLUOltja61sNr7z7rthvZwGABwxFtAWQVs1Be1qgxDHheu4YJtWL8LKo39oWbaXxiZHhE+dORW2bdkaBvYfYO07wB5ojPBW0U9qEj/MW10DUrlv5pf6Ly228h8tv8uCdyqD04xZjz0WXtSRaWwI/vY3v7V22wR5zBo+YpjH/by0AbfpxwpPxQvkGficQCg86+K1Gtt19CtpBKpht03djEkaY7TYcM7RR0DTvr37QpO8Zf/qxV+HGQ89bK+/0H9GP4LbBGYv05HcZZpDHKMFKKzx8V9VVgTPJf2Q8iMruEJ8Zh7I67N5mPpPfsBaxlH0MUciyzWP4ICAE/ERRyJo8R07ekzPxRKDaTMf0VF3Oe6oFN9OaJy3iv+LliyWPZCVtisIfxnXCJwzj9WmaIhAJs3EcTYY6ZYiLXFcNB7S+Bo6bKgdk3wgW4VLlywNZ6T1hxOVyZMn2z4ifHN+VcU1DlUApk+cOGlN2/f0jALWPPjAA3qbKKcy6gtex3luOZawcf1609GvX18JFgOclzEYN2FcGDd+XDir9nbs3BFe/NWLsm94UHN5qsZB+dSP4+IF2pxz575jwP+iXgZwfLWL5h5HkBlXQoXyMoMZa8oR4mNXZHDMJz84TgHT4Jv/XEsqw3e6/mTZHAMHNMNgtP68gvCsadVziAPgS8fogzxxRuo50ELYTgBgW9mTHa91t/+gAWHE8BEyiL08LNH8f+X1N8LmbVvD7NlzwsSx4+X4CgdD7TXuaCmqvJry+sW3/kEDTnKY/xVaPz2gygdF/KWgkikpRTmD86gO6HO9zamfuGLa5JA5kDmQOZA5kDmQOZA58PvkQJJXLGYgmCqUyxyOIhpgTQmWWQopJ5Xx3hH5RxsPi2VUovyIZchopIdKbUoIiqzgvK/SOEXFPXIUijWXpXiyb/8+22lHnt+xY3vo3YOX+o+HydMmh8bGxtC5gxyG1srXgOq87v0c+xJOZiFa6Z/3gbGpT346U1k0HbtduJM8t6sjp2cOfN04cH+fi7sGChPwAfurBFABGqBpwmYSEA2QgWOK3/nOd8LLL8u5yJ69ekOxwJ5ROUqIB1Q0ubCvd1QgwSF5XsWJydRJk8MMgSYdZa8NUKSdtA+HDh0WRkrDbqnAHGyg/epXvxIouDjUadOJwwjs+AE4HlNd0NFZRlXxbstR5EvSWsMWXl2FjhF7FS2WWl0PHTJEtgn7+7gyatYsdI0NDXZiUqdjlSx6LIiAL3HRjQARNyVQVDRe0wINEONNp+gBbANUw5FDPA4qvrCIs4jSvMrTFqt6BN+KTS6Lr9qCjzhxeP75PwiHBVytlPHYLQKOTgqwcb8F6GEjbu/ePQLA9qrtatuDvCBnF3QRjS6DZmrKNDFIDkoUAfTF8azu0COa28vrbWdpgQGQ4dzirbfeDACRI2Tb7lvf+pZt01EOIKBSAFnqC7yp1DFBQDtAK34urFWoupkHOI+hLb55c0XAQ/Wz33lWR1X3h7nvve9jiIzpMoG1ODngbROq74B7+/btM1DG0dZvqcwkgVp4xaUq/jwO4quGweMFn2nPIJLoHSCnNXNmzw6/ffmlcFzama9LaxVgtZuchDC+F86ft+MbHHOgFQcwBd3XBBbyZg27hYQIksQ2PC8YPzVqXsJ0tUke2AlTnZ9RBsy4FtOot1pewEYLKG1saNSR/MNyBrJP2ravh/UCuDtJg5axPydAbY/GlXTAzEHSrt25cye1mVeRz7Qjvip/eu7od2xXVJg8zStoY9zUVzT0Zs2aZS1B+Ir35z4C9XycWM+e54RqBQykHp5htG4n6DleuGBB2Lt7b3jppZesDRa1MivljOWKn+E9e/Z4nBobB4fHHptljWBoqxKQ06i+Mod43tEk2yYB5MiRw/aaxjhgW/S0nuF9WgMOHzrkfEN1/P+pp58KHEn3s0Vv1T/3Rd9ouapTuo99hRv0+ZZB2WIoMpV/Ue+nlU1Fv7HfzcwpzS/4Kd6nFOLNYvGyJCwyNgpmr4TJyrZ6IVFVH3poXeTlwwA96wMEKK9Ys1JH3LeGX/7il2GT7MY+NP0BvSgZETrpxUBdXa3Kqx7NJRSltVh5jWPoXa8IcCsI0m4vtun5T3YF8qXApXNAZ4r8tO87yvRpFeS0zIHMgcyBzIHMgcyBzIE74IBljnLBA/lH5ZBxKF4k8YWSDpIXMk2VBZ1C/qEIYKHS2ddYqUOyk2KUk/2JhCldavdgG+SYB1ur02mY41q/aZNluGnTpocH5LxwrPYAPWQ+ph17BAQvatA3ZsTYe6BMA1HFl+s1RdBA0s3CreJvljfHZQ5kDrTkwH1+fu4aKPTGsNgIAkKwEPEHGEIaGmU4A3nu288a9Hvt9dcE0KyXRtFO2xBk8SKvj1AKTAF4wKkFANJY2bCzFpFWMjTzhgwbGp7/znPWXlqtI6i75LBkr4AUls2rOsbLMVLAhBHDR4bpD043wDRv3kfSFjsTDsoRCEAh7bCoEfylRax3796hUWDhKjl0OM6RTaVNmDgxDBw40ABP0s6Kmmta/1hwWfn0H09QdJ9+oLVYqT+AESzLYa8LTSsA1Ar1kSOmzdpP1FEAqlSkANBIXdQNCEc7aPiheffDP/5ja33N++gje5fljQ+agwbExDdsxE2XF1GAH47NCjoyX1UZBJvW+KFr/Sc+JhX3KoHDFjTHBguc6SWe7G76OOxsavLfQf2A4PxjUGOD2lWdahP66DNALn2GB9BDaO6rtH6IZ3dPg6SJZ0y4q8rbMKgh/Oh/+FPZsuwqr8Rv2x7GujXrpEW4XW+2olMb5tNF8RFHHM8/93x4/PHHpeHYxUBWAssSuEUb/nHSN3QR+JEEiHrqmaelPn8qfCQeHhL4dvz4CWVXPtFGHviCg5tH5MCmk8DSefPm6Uj6Zmv8AZrSFnVDDygF45U0Va9wvFxahlUC1+i7fzg15pXqKxTxQwxtALduUz/WjQ2Dwp/++E9VXxt5EVumubxPdjgPOR3gk/l2ScdwB0jbbs4TjxtM+bv/+ncG11bpyDDgJRq5ieeUAZCL7UTQVje6BUBl0HWnttrJQRB2CgcPGey5wnPbr1//METgXok+9Q069d9vGrFJ8v0ffN+akKvkkAKNSzR4eXZhnMdY48wzOEKauM8991x4bNZjfp6pA69k9dIunjJ5ivPU19WHRRJGDgsoPKg/zAbwjzFjPACsJ+qI9Lef+ZY1krtKm9hjDA/VZpXmn+3hqW4VEjfpNje3C+V54nWpXHnS7ar5xqZrTtB3zyk9D8W8Iop5FGdZHAuvsx58jany8YyR48ZVjZbi21bLUZXA4X44upGm+NDhOo6sI8irVqyUZuo8OTvZaJuZT+h5H6hnpV2dBFTKqyzPYdCx/ErZxXE7mntxHBXvV/HNg0nuGJXi0neiFupzyBzIHMgcyBzIHMgcyBz4snCgtYyCfPNJ2rAR7ZykWQ6Oe9wYi2ykLRs5JIQlkY1dybWrlyVv3wgXLl2w/wDMwGBmiD3zcMnxM2Y8on34eJ3g6q2XtfVW9GCPIOnb7dEce5u4v6FNqFCs6eHDkppktURXQZ5unVUfyhJJNt0k5JA5kDnwZeTAXQOFbM7QPBqltw2ddEwYwAf7BgQAE4ATQK/effqEp595JjQ0NITlcqTQtHOnNIf2y4vrFQMuHB8e3DjYRlInFiBde20gi2XG32ifYNcO5yZ4bcXuIRqAAHntdUStb/++YejgIdbUGjxYXjYF8gCmoGUInafPnA6dZfevTVUEQAB6AE7qBbbQZlNTk4E2joU+8OAD8sTZzZtfypLXAFnRL4CRRtELaNFf9tqqpL2HBiH1oV0FEHNAmlEGjQRqAC65L6qrBDQWK35fadQMl709vEh1EUBlQEr1810loLW+rr2PZ3bpIpuFOia9XZpY+/aJd9LMqlUax/cA8eDhr3/962i7UJ560cxkIS8t3i0uIz1e1gua4CMafwCOgKoAZYek2QUdgKbtpP3Jda1AHDS8AF3RBKoRmEm5GPSjJB4AHFI3/GnQmKe81dJOqxI4QODNVxvRiKdfjpVjoxDvxOukwXj2rDz8CnhTFmvS0Q62LifJeG5nHbnGiUkEVgXIkin9uVXdit/qjum1ZpzsnQ1VnLXFlQAAQABJREFU/T984QXbQNu8SY4U9uwJlwVAwifelDU2NlhzcozaQQsVcJL+4pEZdXx4AhAN6MFRZuxHtlPfe0jrE6/JblPjRv8NWogmgK9OciAyeOgQeyzurDFC2xV622l+45AHMHz8hPEG7dCwi56dqw1gN4h32GJE24+2luuYJrY30fI7rqPJgPD84HM8c/CQIa6bI9mANtBOiEefERbEJ9HHuODUBA1FQHvqwrFMd2lrQjsZDPqQV9fwum19Bx93B3Cdum6qNFu3BByWnJdhY+Y42qx9dRwcb8gcLx4t+57WEtT4U5/bVrv10v7FAHJPHa9mzm7UW8tdWgts11AZ6SPHmUcWfcaWXeeuOuYgvgPO8uxA7wDNP0DahsZGab/Wqo/NIBV9vlWABTncHQeYC+afnm1WDy8u9mISLyMwqHiFNP+51swzSCiFWr0gUFnPK81aTbXrMmDI2gHwX19TGwbIPMDwIcPDvEXzw+Jly2Qv9M2wV0faH3n0UR1dH+9nDfuFVMjRGUTUEl3F23FPOMVHqqAnznnerDtYM1HllRSpjdH5M3MgcyBzIHMgcyBzIHPgS8EBCyhlUkqSXxF6yoPinSSRHw0/izrk0V+E9IrMkpkR2ZCc2KdfuHwlHN6/X3uP5eHDefO1t9wWunbuEr7z7LOyGf2gFUPYd1dqf4EcZ6ENd8bIgKrbp5e1H4rtxRfASFWWEwsSTVcheBdfFryQypDnRRKivZRpnLO8V/k6cyBz4EvEAT3zrCqfPaApdkEeiQF3OAYL2DV5ymSDgywKbBgBVvjmGCeOLE7JHhzHjLHBhmMS0mq12cf2HABGnYAoL3ACKCALbSO+XYfADwAcbNodOXw4nJGjBTVgD6wAOl0EOHF0s0Z0YFNt9949snt3JnRVvThgIA1NLQJgH2sfdeOJFZDqrOoDyBo2dJiBNwAT90F0ArhwTX6OT+IxFjuIgB/YOeQorQEa5V0hjS+cQJAf0JDFNpXlmyWRetCe2rhxk7TbjnkRHjl8hPnASnpBthv3CeQ8qeOYaAx2795N9J0LR44ecRzaPLTHMV1Ama1bt4b/9J//c9iwbr29xP6v/8vfhMlTJxu0c4N0mlEu1uPWAw49/Hhgs+KMeLZfWovwkHh4C1jI+GAjEk1O8tAvQFk02wCMooYZDakpjQsAEAAs49ReYzxy5Ejbf2RMUzCYKp5wxJej4hy3hb9oyIlp/uECtAUgBCSCfgAtygEg0Q9AMdt4FK0pQLcqcR3EwWvsDuJlmblzQs48DP4JjIV+juRi9xGAmjkGHUcERLcXeNVPR9O7iwZAb/gDyLhfP7AEQEzGIIKIaFfGOQLtAKTY7gNwhR7y9pXWInxK8+CC2jqtZ4I8jDV9IQ1epz/6Tdx6PWfwnTxjRgOwRjCbfiQtQ9Iekvfiav24e65Dj1BTeHZJfK3Wc7VfHo//3f/27+xEBqci/9d/+k9h2qSpoaqaZ058F5NpjwkTWRq/r8iT8Vkdbef4Ns8gjkdIB/TtIN5BD2A3wCEvCegz6cxTAnOWfxytPyeHMsfkxfz4sRMee9J5bjtoTuEopYO0W+kDARDKQKz6hlOk9KzCH+Yfa0ak19lv+RGnPiBy9JS9bfu28G9/8m/DX/7l/xRmz5ljwPeWhb/hCRpGh2L5YGoUzxfRRWycLPGZU1TMok/9L5VzMa3nkg75TQCx84qouaGnVPPiXDiwd39Yq2P4S/R2G1AaG5rjJo4PswAMpWHNelRRKe/gzFHVQ91cGgOkGhnVVgOOKPRNlYd7/vvDtCnnpwbqzSFzIHMgcyBzIHMgcyBz4PPjQCGXJBmK73StRm16BdmlCDGJfTER+lB2JHeOEyMCOaszIfdI6tG1pOhwnb2VED7236ulKPDhh+9r/75BBa6FcbIN/YAURUaPGSsb6j2036rV/htZCqUHZRHK2KYC82I0F/c5gHyWtdyosxaNQ0sZfYp1IL/yeicAffrvKvSyP4fMgcyBz8CB+PB/hgL3lvWugUJWDxYDgIoY5O1URxv9msCPfyKMVYTlgCRt3bSYoREGqEEKQAJAT9rsO+fNmOCFJ2r4uSzlFQc4Qx2ULwGBAiPIA1BpdWk8MqF55DrUqPLStiIMGrJp5Z50QB/qi3lFjeLcA8romgBQlUAu8tM27QEC4XWWMoAz9CvV1Vxf4kb0AmxPvSqPthl5CaekAfneO3PlqOQd8bQmPKpN8rdl442+EGiP464cZ74ojbe5cmjyX/7v/yJbe/vDYzNnhv/9//gPBqXixjiWgaZYWOTFqxafqW9Ewg+DqbqGpvTnfhe8oq8J9KLviXbK+0isaAQs873ahk8Eg2kaF8ACtylizD+BVG63SHNmfXCklbEzn/hWXdQPeJtopjzX0JDi0jdpDpRTWzhBAA9jVFMa/Uj0Uw4wyXOM9gV6WWNK19AMwE2/qBUaKEtIdVE+XZfPE/ML+pxbH9Djr+jBmGjKUT7RwvwhJJoMtinddZGma+ikHfIQmC8AfgC/2HKkL6RdU795Ht5///3wt3/7t/YSPuuRmeHf/4d/b2Bcrft/rFM00C8YVfCPthXheRcpJxlgEy1SzTT+ND6loOyJD44rhoFOUx66oYdv9dr10BSArJlLcwVJSnQV8J6+QiP0Jf6U2vyUC4Ak6olAYYUc2GwPP/nJT8L//Jd/mYHCT+Gbk8S3NL8YvzgaXMQr54G/BEWlS99yo9fOHEG/xvTQ2FXq3h74nEHPJOua5tr1y3qhJAD6jEwD7NZx/DXr1uht9zxphu+x5+snZs3ycfTucgbUTs6AAAxZMpk//EcYhqYKCbQItppdio+/DeQyufSFdm8Tynp2m5w5OXMgcyBzIHMgcyBzIHPgLjhQyFGWsSzHS3YpvpvlGuqNUkmSvx2jqOvIV9oPatcieUiysfJJrLYZLMs/CEmS/69eOBeOyhTX3PfnhjfffVuOSw7baeZjjz0aJk2YJPNLfexksQotQtUZ9yGSm9wlPuMVgpSSLUc5NglUTuYjymMu5g8yOLE5qjz+ZkmtcubbzIHMgTIOFGtGWcznehmRiLtpQg83QEC1jm86eLHQBx1I64LjyBizALRUahMHtBKzF/lj8qd/sjgpB4tXSSvNlRTFija4A0SIQEfLtLTkFbGm1UCjtJkILM4J3Ejf9CdVneIAKFqDFKRRnqOo5SEu+JFXjk+ViXaDZ4wAcWV9qRL4wpHSDRs22NnGcWlfddTxbjQUfYTagFOFNQw36wjn27Lxd1yakXiG5ihzp46dmscgEcO4lDeS4ovv1DduAZhuFgxQFcBYeXoCtlKcj7HqJoGDpfjiIrWVvommjjbwDj6UeKQb0x3TyUcZ7D6ma18U8YnXrdOcR+XAI9q0Ud9SG4nnpfZi/dhPqyxPS9eq6FY8cBv6KO9T67xl1bhfNEv+BDanOlp/k6fFfHNFsTbzDYCOW1VoIEz8qagQoCkQH2ANsPOKQJgdTTvC7159xdqevXQEGNuN9XWydaiyPJupEuSKdM0VIfYLOozMxMhIgtstTa3mamI8OVM+rpXOExV5U5aWypGHwH2ruNb8dL47/EC4an6Si0LldN1hPd/IbBZai56XxoSLstDqNqVgV1D/FfT8JX5zj9afgwRb4g3eY7+wbegoDd8R0vRF4xU7nYsWzNMRmdXhZ3Kks233njBr1qNh5FB5ptd6VyPTEzfQItT8vVQhT8hymlJdpZdXHG3WNQItofRcJhoc6aT8kTmQOZA5kDmQOZA5kDlw/zlQyFeWTyWvpH2MX84rDYNe1u5DUNJ/74SjUFXkVSQblktXwyUpybAH9ct7ZKrrV8L1K5zGOWbnlB98IC1C2eTnBM8zTz4px6EPy+zSKNtmR9EH+YsQFUVoCbkZmd9Cm9MUoVAIVpGgGO9P0UEoS26+KYtvkck3+SNzIHPgS8qBuwcKW3coLQzEp+v0nfJ+4r51RMp4h9+3K946vfV9q2ZKm8lW8Xdye6dlSySki9bfWmfRCmsc3Gh7gMtkr2vd+vXhH//ff7Qdx86yI4Fm4TUd5T6iY9y79+yWA5Bt0uy8KucnY8PUqVPjMd0S0cXCzX26TG2W8tyfC5p30+Xtl19DRvl98WNo6srjHXEPH6mu9J2qKr+/1XXK+3v8vpO5U+Id7Sba0ncpTj/pQvnQmiRwjPp1eVTmaPOlC5fCx7s/lpCwxmYCAJ2xj3jdqnbkLiaH6ywq/kT95CsLt0ovjyd76/uyKlqk3SzfzeLKy+fr+8oBD8dnHBPJqx5mA4J6phE+mW2AeG38ajrObrDqK2gACtiult2a7jJJMV1e2Af07C4bmMPDglUrw6JlS8PmbZvDbDkemvPQDDk7GRKqJOBe57i7HJwgMGMfNIKPAhA1v+Mcl8CrBrChmvpQzPhP8O8zdu8T5XNE5kDmQOZA5kDmQOZA5sCdcCBKQFEiifKHPhGIQAn1ZcAO4E9Hh4UFCjhUvI4GI9Mg72PXnRN1VbwclStk7ELrrFs4f/5CaPp4V3hLp84+lDkXTB1NHjsuTJ88JUyaOFY+BPrK1rdOAiIXFfuteGqLFpHcaCdSFwWn0k6huFVDluac85MfJOeQOZA58JXmwN0DhbfaZd0BO0pF73IRsQbUHbRzqyxu/y7bvlWddxp/O9rj26Qb9kb7wxd+qIX+nG0Zrl6zOmzbsc1vigCDyIfdues4kNECP1Yg4Xe/990wRg5CSI9BPU0qNfzU0HGv6/r4IvoPOQUJBYGf6YuyDndJ++14n6q/1bfbv8u2b1XnHcffAe+ijUGmg370NQUwC7BSnmQ/mveRhAnZ+NSxeLQMcX7yjLQJu3ftLu2r4ui8BY00b+6YqvuW8Z54T2H+BBrx3HCsgntEIdeb0u9bb75aDZlHxbz3GnIn5JeeE5cu+K2CxW1ch3SrCrGh45BeDOiWAzRor7aRdvSAYe1DN5ydjBwWFsuZ1Qcffhhe/PVvw7atO8PT33oqTJJ3vo68QGHS36gON6RRy3GcNhWyyUNDEp6p0Ytei358sl3oKHJymUPmQOZA5kDmQOZA5kDmwOfDgTKZxNqCRSvWMER0SSZ6lM9ZJS/JYXGoxHwPEo5knQpMA+kUEdLLDWkQIlIdPnUyLNfL1ZdfeVV7yPWhl168/vH3vxsmTZ4c+su2emfJVpj6sVkYYYJtKKT/vLy9pvosjgmItLhcUigwVcpnyerz4UeuNXMgc+D2HCjWjdtnvPccdw8Uejt1jwRoUfrCwhfYNk1/2hjzZqhWb3nwQky+97Ux3iwHKkd1vBhnEsAbqKLj7bihsSEMHzbceSfKq2w9trtUyBAIPyClBb68UVHwBfZflNxbuAfab8f72xJ2D23ftu57zBCPD2OOBEdB+sEXYIwDlUtyjsObxC5yOoIX5W89/bS0CSfomEFVuKK3kZUCUjjW+2WdFCWWly7uklGl8jwdpRsLPV/Wvt9lT39vxUpcKl20rDpFs061CClBkSmtLArMtjkeANfCcJFD8xYnOR4TfVVU1oTO7arChNq2oacAwf69+oS58tS3Vt7td+/fG2bOmBZmznwsDB44RB7FdZS+Rs6lqhChVR9rIH8SeJOtUdv6hC7e2NMKArJCojN9OzJ/ZA5kDmQOZA5kDmQOZA78njlgyaMQe8qrjuJPlESu42JYoOA1ySm8DK209+GYxqt9XnzzDw3Aq9cuhRs6grxz587w3vwF4cP58+xEdMqUaeGpx2bKfNX40KlbF59aU00GBJGUOIkRz3ogB+klq+qNGobSWDRhSFOxFbIXUc1CUxGVvzIHMgfuFwfu307lHoDC+8WMb147OHhoK00v7BHOeOSRMHTosLD/wP5wSl57z587a4cSgEB4AO3Zq6c9znbt2i10wPuyHWBoJWcxbzWPuE1r/DePq7HHrVjytWJDdDjCD3wECQGbn5QdEjwzX5KTiPZ19aG35stQAcud7Y0be5+RBdbs+pIy53Odt34gvulPxX16DNL8KoA5t6o4xFJb4tE1B4N1oEYgXnRcxASt0tGXNjfk8KpD29C/XX2o7ySwcNCAsHj50jB/wcLw0itvyjnNx+HZp58JEydOthfz6wLB28jWKvXhDbBCNgtpnmfDWqXcadiJyyFzIHMgcyBzIHMgcyBz4H5zAOmzWQ7hSqCcRVIAQl3oP44rK6RG6JeanJyQIBMdYQq+A8m7LmeFUhA4f+5CWLh4UXjltdfCpg2bQkPDoPDsH/5hmDxxkq4bQq32iNWSiyp1WgOtQembUL2CZC7rCqhevbjF/EuMRyZTEBhpovjiXkEilV/Ccg3VOWQOZA58PTnwhQCFX/Si8kW3/6lTScThuIK3Ofx1kIZg3ZC60L9/f2vdXNWmF0BISfIILE0wrfTYNOS+pDGTNuKtOlqKbhX/qfR8iRK/aLK/6PZvNxQAzJX6gZfMYDDZti4bG0Lf/v2swYWwgXdtBIXoIVyaqcrPL7+9DzOJvqThXilLws2XtHtfWrJuxffEz9bpre9Tx1J+35MpReiboy9o9+mgsQROXUfR1J8SZ2NmtP8q20vT8FLo1r1N6NBxTOjdu0fAluu7738U1q5cEw7uOxiefnJ3mPPYI6FHv4GhsrZOayTOi1RjG8BCBGO1YSL1/p173cQ354nS/J05kDmQOZA5kDmQOZA5cB84YBkoviQ14lbIRt6v6cPiisDBNpXXbYtehpwlz3A8WOCgUq9cvhQunbsYjhw5LFuE74VX33kznD13LkyZNkkOS54K40aOCV27dQ9V7WWLUKBihRFByUGqD0FMrj/RLDAOaO1C6NG2AGmMkx8lWQ1W6B75SWYQYzSyGyBiDpkDmQNfWw7cA1CYF4fPY1aYq7zCKX4s7MFZC3aVbEkQaZDQR+bISSZ9s3LrB4W3TRjyt4cspbQMrPD8p1wOX0cOxOPDgCIFGKIhb1dbKw9nNfrVj4BIBJk9EQrA2a8FXebryJNSn5B4EihUfDc/CzwT+bko8ar1haXFlpGflVuJw6xYcSGKV77l0sMTc1m7NY0Hb8+51pjduC6bg0zXiioZ4K4Lffr2l6mFTqF3995h4YD+YaGO2vzmld+FLfLu/dSTz4Rxsl3YoUMnHbHXixTE3lhNrI+GtVYiIHtecE8oIytG5M/MgcyBzIHMgcyBzIHMgd8vB5B4jMYhnNxM+LCsiowicE7vTDErJNclUiZB/U8OC3VS6NzZs2GJtAjfeuPtsH7jBjko6RO+/9zz4YFp032aqH37ulDZVvtHZBvJctd4+aq9Ii9JpW7iF7U+X6xbYpCLSyJfa7rIoIBUFkMske7yd+ZA5sD94EDxIN6PptTG3QOF95fO+8SOL0sz6NXoXRGbWF3d0C+EtQW1afbLIMgEGNQX6/gNaZKxwpO/Mr3daT0+iveaT9kcvpYcMAionsV5E7t4/do1vYlEazAiINaeKn78kwZqnDxfc4TkVt3jOQF4b/28fC1nyBffKdhczEQTY7brg+kZj9VoKDw/04BwxOaaXoBoHusIsi0Pkh+tar32rmtfH4Y3NoauXTrLRMOQ8LbeqC9dLsdP25rC9559Lsx6fE7o2qNnQFhGAztNg2ifUD9/qRmoSYlcp/jyOOIJKS3e5c/MgcyBzIHMgcyBzIHMgTvnALKFZYkygSLJ6dRSimYPiO4gR5Bx1KZTZXrJyTHjffv3hVdfeSW8J7nnwqXzYc6s2WHmIzPDMJkX6tqze2jXrr3l26sqj0mXGNg7ujadPDJs6JMW7B1RMiDJsphosShmxZSiaPlXko1SteVp+TpzIHPg8+PAfX7m7h4o/PxYkGtmx1qAOWaGAUOu0sqsS0+UYraUFnLKucQnP24V/8mcOearyoHyeVD0IYHNpXnheVDMo/Lrr2qfPwvd6i84urutcglT/yxVfDPzJo7de+/LVjBXxr1rRz79/9l77zepjixt8KQr77DCexBIeJABhBNWAoRMj9uZb779j+aHfXa/2d2Zb59n95nulpAECCQ8wsgCMu2kVre6hYS8Wh5Bmcysfd8TN7KyiioQRVVR5o2qvDduRNyIuG/ejGPixImyL6QYNIehDAsgj2k+GeLvedaKOSoOi1YJ9wyTGuqtCbv6TZoyzaZOPWlnTp6y//rVL+29v7xvW7Y9jF3hF8B34SjL5rArMlp0xpvWiqg7DLWIeGeYwPbITJNRTtK9J8nBH6LU81C+PF9xISAEhIAQEAJCYNgj4OwATfDK+JdrHhrZzmeQuSBvw0A+w5mO5Fas5+XkfXu+DVnOpbiSzydHfckwymGCtNDW5r7q3/rt7+y5gy/YG+fP2R0T7rDHf/GErVq1Bi5Z7gg+yLEKLc/6fYVxu+Vxr2EjlCwNSuCyqh0dYk/8yGLoD92z0KLQO+f9S+LsanfBy3SXoTQhIASGCwK9VhRygFHoXwTKMS6Pl7danl4eLy+j+MhB4Jp3AIT8mrSRA0e3T0o8OjAJzFLHdbe3KLEfEQjY40XluxqZaLYXOGtnnlPusRuWsbSqxl87rAuxEMcyFVXYDbDNmeGG+gabM3uu1dfW28zpM+z4saP26uuv28WPPrJdO3baA2tW23gsy8nAbyGrpr/OdMLcu1U2qnT/PTjTZ6fPrpO5ZuAN/FCBmPQx7CiPtCQkJePlDc8dd/Zc9Gbr7Lkm5QgBISAEhIAQEAJ9igCUhE6nfb1uZ6oernCEBSA9nThLUyqC+8hfMBsnXwqMQpwMbYf/QS/La/yRFykUsOgY6Z99+gVWThyxY8dO2NfffoMNL9faxo0bbeGiu2zUqDFWXVWFOjIoC/6Ik6EIRSxFY9T9QNPwJA0/+NAgpqBM5FZyHSHpnPM7HandxpKi5Xd3W06JQkAI9CkCpSGkT2vtubJeKwp7rlI5QkAICIHBj4A2sRh831H8TiLzSYLoRBGMbQjMCXPe3JCHLHq6mPPJfCru6mprLIeNn2qxux+VhWfPnrEjR47Y//7v/8N+996f7Be7H7E7587FDuDVcALeDAacDDNdOgTlY7GtgBl3NpGB4/BWMO9gramcDPx2UBRCicjAGXmmh954kg5CQAgIASEgBITASEEALElQ6nX/wJyKpiLQ1YnRYo8TnfwHL5EHz8HNSdqx0Vo7NhhBshWoy+Mux+Q12vLgQdqtFZaEf4APwl/tecbOnD5r47BC4h/+7glbvXqNzZ49x2rqat3NUAo8DdurQH2+CgNMSoarMDApyroDP4UIHD5n0I848VnqPQp4GX8oxniXghAQAiMVgSh9jdTn13MLASEwEhBwpic8aFRGjYTHHqrPGL8jZ20jn+o8q7OwnH73pcqezxly58SxLCcfdv4ePXq01dbWWl1NtTXC0vDoiy/a6dOn7asvPrNHHn7IVqxYjt2Tx/p6mxw0g20FMOSYgae9YhschpMx9x2RASAXOHNdTuwTMSVzzU8GCkUXAJhY9o7xUkEICAEhIASEgBAY5ghEHqXLYzq34nlY0sszeAb3MQglIPkJplW4D/GUteZbrB1Wg+2cFIUSL0//4lAipuCT8IvPP7XXz1+wfYeftz+/f9GWgn/Zvmmj3btypY2Fy5VK+CLM5HLOg7jlok9swooQikZvx2c00RvySQx+xjX/mRfTQ66nJ4eYorMQEAIjFAEpCkfoF6/HFgIjCgEyQlGRkzBF18ykjihABuZhnVG+laYSvtaruCaOBKbhe3XFHWbrOXGewa7I7djlL4MZ9cnTptumxkabNXe2vXjipL306qv2f/xf/7dt37bNHtqyxSZNnoQqKq0KvgtbMONegH8grEm2Is45pEFziGXIZO7DkiAqD9kGbQrpUNwLcPkyH7T8HcOlghAQAkJACAgBITB4ESDp7rvgDEnn6sgXMNn5zg4LvsA/gHeBVV+BWxpj0hEri+EOBYXzrZalFWGhzT744KIdeP4FrIw4ZBVQBj6x62Fbv269zZg126prG7BhSZWlEyWhMyZsDHxKEZOf5FfcF6G3nfQBaSEk/aK2MiYFRqYjP4npJASEwMhFQIrCkfvd68mFwIhFoMQXjVgEhsiD+xfFQ8LUxm4jif59XNmLODdCcT8+sAbkTDytA1NQFGarKq0xNdruvvsumzhmNDY7mWzPPX/IfvXLX9mlDz+yxx59xO5evMDy+Wow6FhmDAVjCvdXZDE777PysUGe0Qefgmc0iTM5piOW9NRT++LQ1/X1RZ9UhxAQAkJACAgBIdAdAmW8QYziTMUg6XlYBowI0gqwFixAoecGf+A/3GchVkVk4Y7522++tQtvnben9j5nb/3m93CZMscef2Sn3bNimY1ubLJcVZ1VwtUKV0PkXCmICU7U576VIydSUgqyPXYmCUwH/+Sd8GRcs3POy8QTM2I687oPvK2s5u4LKVUICIEhi0DvFYXlg86QfXx1XAgIgRGDALgZX/4BzoYKJsa5bDTwR2J1+uM9IKqO7w0rR6lY0L+Ksu8jSY9LfOkT0C0Ikzp5HXf3Jv+bxlIe2vrx26UHQqtMWS5VZ9Wz5tjOptE2ZeIkO3j4kL3y2iv26aef2I6dO2zN/ffbHViKTF+FqKBkfOosMJJ8+U7SQX930BAtCz0fR0ZDjxEjbWRHbkAj4xN6NayqS4j5XZJ1KQSEgBAQAkJACPQBAqSzPdHgn199ObVmbWXXHk2WGntDOPgkJNLy+PhKiIyvZsiBc6EV4aWPP7fTZ07b/oMH7Ptvv7UtGx6wrZu22MKFi41uVbhRSa4iZ60tzZbFpKbzP6zWlzGDU2Kd4GUKWOJMzyyd/BPyoZxHCemhr+hkWZdZJISe0ku5saDOQkAIDCQClDEGKPRaUThwXRwgJNSMEBACwxYB19lAMxgVhPFBfRwDU6XxLCJyu87dM6SBd415+JaYAALp35d/n+R5yYSHkpyadzWhM8zBP08OXHlbDrP1WNozevQYW71mlU2aOsmef+GIHT123P793/9Pu3Txoj36yC6bPHmK1dTUep1ktoN/H+4YWPaGIJ198F0Ky4i1l4jKwXj+GXAmPe+2ZFmr3eYrUQgIASEgBISAELg9CMQJzJ5aJ2/iHAuJOfkFJ/hY9cBVEFj1UKAfQcxstmMlQ/PVy/anP//Ffv30M/bSy69gF+PR9i//8s+2Ye0Ddsf4SVYNn8vZXBWWJWN1chGbrbnCsehLl5nGhA5eFyskXEmYNJl00CdZycIk3WGyd6mMEQlsDUswlGWEhNIxliglKCIEhMCwQ6DXisJhh4QeSAgIgeGNQBd+p4PB65IxvFEYek9HH4AxlKJgvcHNQvcXArhjVxi6Qi9jWXLLuC8oEHNWmcE1lIjFDPz5YCZ+1qwK+9d/GWvzZs+yZ57da8/u3Wcff/YpdkV+zBYvvtsamhrBxFeARU7B56FZSwt8BmUr4L4Q1oxokYw/2/PAfgTOOvDUSbJz4ixwo+tQS7fH0Fa3WUoUAkJACAgBISAE+hUBMADkO5yOR2LeucGQyonFyBugOBJ5zTzymkW4RWEsi0lMukehgtAXMGDiMQ+fyJcv/4QNS87br5960n7/+9/Z0ruX2GOPPWorV6ywUdjhOFdRAcUfRHbfMTllFWm6R0G9bCRoDANPwr6yw0lXkxMTY5L3yxOSQ7ylPK2jdOdUXQkBITCyEOi1orB88BlZkOlphYAQGHIIkBNybojnEAnKnsAOaTzrv280wn5LLSTfGTldnxFnxC3++HUm32csw4bIOEdFnrPH/IbxgSIRqj84Aa+x6socnIJvsHFjxtq+AwftNTDpn358yR5/9FF7YM06Gzd+vC/rSVdBYYi6mluuWrVVWaYSm5zAJ5Az+rRcLA/oQ1Ql+vvm0kJ5AcQTQNgjhngOVx3HiFtP+R0lFRMCQkAICAEhIAR6g0Cktb25l/wkaT4nFRmcXscKcWZuEUpBzmGyTBuWFnO1QgWsCfNQHra2Ntsnly7Z0VMv2vOHDtvVq1dt965HbPOmzbZg3p1WV1+POU5s0IaJzgLqyLAF+jZEW8UiuBk4NPQesC30he2XJjHZoX4M4k36EVxVLQR6QAA/9QENvVYURuFsQHurxoSAEBACvUDAGScqkpIlpM5QOWNF5ipdUjb1omrd0o8IcEVxh+UnGiKFZBoYbe5EzOW/3N3YE2M/+D2XB+ecmRBY+TTegbRhNh4z9E1jM7Zo6WLf5GTO7Bm27+AL9r/9j/+wjy59io1OsBR56lTL4y8LRr3IDVJQS7611R2SBxrIypEazQfYTNf2/TrpOPOTEFN4vl64Uf717lWeEBACQkAICAEhcIsIOMFOqHGJKLsaMPGJ3LX+hDdAWfIKeSj3yLNkwX2A5bSWtlb4GGyF25MP7f/95f9nRw8fs7Hwk/zPv/gHW7dhHZYa32HVddXgNSpgNUh+pz3wHeA3qDRsx2SlKyDRbOgO0pLYjeTzUve7dvkmr/uqnptsVsWFwMhGoKuM0c9o9FpRyCFQQQgIASEw1BAo6Y2842S6OqmZhtrjDOr+3ioj6auOeyA2ZNEji0w9nX+LIKBMdatDzOLHmXWqEplD+up9ckKLmX4w3Lnqaps0abI98fjf2YRJ0+Af6Gnbt/85++brL23XI9gV+e6FVlFdaVXwDcRmstySEBF3IM4EfrxSnLuGbgl6LMwbbxx+Xqkb16MSQkAICAEhIASEQAcCkRp3pFwn1qkwLngNAs2Tcx5l+a6sI/H2/JBBP4QtsCgsFPJ25cpP9uabb9qep/fYu++8Z8uWLbPHH3vMli1dZk1NTZbJYXKSk9hcXsw6wqwpItxsLeyUnAV/4b6SuYKiW17jOs/SR1l8RAUhIAQGDoGyYWZAGu21onBAeqdGhIAQEAJ9gUAZExVnW+O5L6pXHd0jEJnIviZs/nXiwHqpJIztRKUdr6OS0HvGKfzI1Xt5zMYjJY30DHwR0tdhXVPGVi5batXwYchdkS+8/Vv76tvv7JGdO23p8qU2ZfJUt14sYCafjabJrGMhkNdb6kDSDE6dAxvFp+w97JyvKyEgBISAEBACQmAgEYik++Z5FPpFDlxF4ETQ61hZ+QOgUBHWhMyjFWC+LW9ff/M3O3vmjB3BUuPPv/zSVt+3yrY/tM3uuusua3R/hNVYY4xJbNzLujGlCXcnbAtpSKcCkawHV8O4eWJ3fAUeKHaHOkYFISAEhEBvEJCisDeo6R4hIASEgBD42QjcEp9axgQ7M+8KQir+yKgn7H1swMuCncaZy3WYS1WeK+jaeQ8DVYTM4a7IZpVYgtwC5j2Tq7CJkybZ2FFNdsekCfY0rApPnTxh//P/+Z/2D1f+wTau32jjJoy3ClgWZuCbkAuYi7AQwMnbc2YcB+8TGHx2if1whbQLC+gPGX93PJ70G2UUhIAQEAJCQAgIgduHQGQhrteDOLnsKxZAy0PAOYn69GMw/wN/ABqPf3IdGcxEFtrz1tbWZh9evGiHMBF5/NgxLCVO2y5MRG7YsN6mT51ptY21qAq8hW+aBmtCrxiTkl4RdjGmmxX6WQbf49wNmBt2oztuIvbO+8gCnRJCz3UUAkJACNwIASkKb4SQ8oWAEBhWCHSyNBtWTzZCHoZMb1QIOvNLlpmz78hIOGZmZzDzToY6sOrkphNOGWkpKA2pQGwn0w1mvQqfdu5CCOvCbFWl3bngbvvvdQ02ZcIdztD/13/9F/wWfmTbtnDW/27LVsDTEHZBZpUpOipnD5yJD8pIlyEoMHDWn+3wQ0NE/EG9mCgLkaggBISAEBACQkAIDGoEopKQnSxXFJK2p2gxyPlHUnr/Z2oIBTAJ9CV45acf7bdYpXDw+YP2xhsXbOId423rtu22Zs1qmzxlquUwUemTiORJUlh2jIrIX7QnfAvbb09zgpLtkY9AYH4Z3+MtokBH656igxAQAkKg1wj0WlHIwUpBCAgBITAUEHDloCuXguLGlTfJjLAzXkPhIUZsH/3b6v7pnRCBZcbZo/hOnYnHFS3+klScYgFWgzg56SKZbnD3uExDUciZeqr8MG1v1TUpmzlrhj1SjQ1NJk+y/Xv3YZnQEbv4wUX7b//6v9qC+fOtvrbWMrBG5PLlIu6nK3G4E0J1EAxQPRn89gISoEAMfaMzczYMJSX7wzaTdxCJHrxcvNBZCAgBISAEhIAQ+NkIkMLeTOhKc3u8n7Sahf0UVgxAA+gTjM5e4EBKz5UMHpBXwOxgsbVo32Cp8RkuNT5yxD7+6JItW7LENjy40ZYsXmx3TJhgFZVVuMWnLlE9eRdcJTwCa6MuMConydWE0NHzGPOWvX+xTOdzLNc59dau+qPOW+uR7hYCQqAvEei1orAvO6G6hIAQEAL9jkAXBirwc85a9XvTauBWELjRd1SWD641sNmxvSSvrIhz+rx2DhcHz/MbqSb0SzLrmUzOdyFc+8Aaa2xohCXAAVgCvGH/9m//Zv/wd7+wB1avsfHYmTBdWemKRrouzGRhWQCGvz2PHZIhWLgCErslU0HY7iaFaMyVgx0txZ56d+JF6dx9ailbESEgBISAEBACIxqBDgJPikn6ff3QUd7L8dJvCdxDp9wknfQ7xVUCSVFOK3IVQnAeGCYDaTlI8p7Opq01n7eWq8322eef2OlTZ+3I0cN2+YfLtnb9Wrgx2WCz58yy0aNGY3O0CtzDRujzGH/eHiqh/8GoNuRl6CDSQmBPWDSUD2l+a4jqKASEgBDoEwR6ryjkKKUgBISAEBgCCJQYqMhdlfeZaRrPyhEZnvEbfcfIp52Az9xDICjgk6uotGqkrVy5Akz9KJs4YZIdPnzYfv2rX9uXcEL+0LaHbMKUyVZXUwuGPwsfRAXjpsgxuCUrJYdESUjn47RADDz/jTqEWn5GkdiWzkJACAgBISAERhQCJebuFp860tou9TkNByF2VSDzkkm/FBWHXjYoCUnTOTFYKOYt31Kwy5d/sD+9+56dePGEnT93wWrqamzXrh12/+rVNnM6/BHWg2fI5YKSELOMvuy4vG22w0cq1wR2eUTm+y2x713ydSkEhMAwRaB8rOjnR+y9olASTD9/NapeCAiBvkKAuhouCfVzwoAlbBiaIJclTquvsB7S9cRXgUQYnzysAelwvKqyzmbNnm1P1NaByZ9mv3p6j+3FZidf/O0r2/nQTps7a5Y1QZGYhWKRq42xitkZeFoVhkiwDkiT6efHXzcc+I9LD57Wnd1Akq+TEBACQkAICAEh0IFApKWeQi6PoYO788tuDyhJ2uunDiJMks0Q6bJb+SHNNypBMdJw+jimArEIZSEpO0OBbeKmPDYs+eGbb+3Nt9+25w4ctHfefdcWzJtn27dvsyVLltrosaNhcViJtnGnuyaB/SPiYZOzUJc/RKlLPT9L0n1/jOROnYSAEBgRCMQBov8f9hYUhf3fObUgBISAEOhbBMgFYoAtcYO4jPG+bUi1DUEEXI+H96MdysGg5IM/QWxcQq+D1dXVNmnyVKuvb7DahgZ76umn7exLL9sP3/9gD2/eaitXrLSmceOsEpuhFLlEiZXhTj+hTldUOybI42tYHvx64Ah/edOKCwEhIASEgBAY2gh0pp+dr7p7MpRw3i+U7EqSo7IuWBSSnKMci8blx4hzF2LS9UIhj4y05fOt9tWXf7Nzr7xiz2PlwaVPP7Hly5fZ9q3bbPGSRdbY1AT3JFnUBf/IUA5yEtKnBgOTEOpnV0OXGFMQAkJACNxWBKQovK3wq3EhIASEgBAYTAjQkoD+K8mrZ7O5IEzwOg3n5FhXXAkl4cqV91h9TR2EgRfsHJYVffHlV/btTz/Zmvvus0kTJ8JNYdoqqqohU8BXYZFLjSmGJKpCWBGkslQg4roknUgyGEzvgPoiBISAEBACQwWB3tLPG9yX0Gen3jiQgjPQxq8IOg6OAGkpLDeGcWDbVfvkww/t+Iun8DltrS1X7cF1a23D+o0298551gh/hO6zGEQ/g2bJFrTTkjBCTH4gqZ0tldJjvs5CQAgIgduAgBSFtwF0NSkEhMBtQKDEeZUit6ETanLQIxC4dXQzZW3YlCSL1yWFtcRg7w3uyd0ioAZKwoXYsXAMLAgnjJ9g+1543v7zf/6Hfff132zDhvU2eepUX3+cxQ7KKSgJU9A+0u25CwCoyw0IeIDQEDbV8UwJBwEGHYWAEBACQkAI/CwEIskmZ9dX3F2pnqjAo59hEnFkuHUhtH35lrwV80VrKbTaZxc/suefP2gvnj1j1XUNtuPhh23dmtW+CqEKqxF4TyoDfgAKRmxvBmUhNj3raASKR1+8zMqDH2PyCWiOz1YqhriCEBACQmAgEei9opBCjoIQEAJCYAggEOZqg4KGQxdZsPCHztNXjMazIfAt9mMXXdIILLm/CoiSsc8kS4s4888VRznuUJhvs3Y4Ia/KZG3ipMm2c+cuq4Wj8kNYarT3wHP27Q8/2LbNm+zOOfOsrr7e2rG5SbsvNYLu0JWEfN9oThDa4FNBXYg/BSEgBISAEBACQuBmEOgL2sk6yAHEEOv0NFxAfYcC3OkYloQ0CURKBmnffv+t/fGdd+zo8WP2m9//zqaAJ9j84EZbgVUH4yZNtKpsFVYmYBMzLDNmC0XwFGmD6A3+gnypeyD0jVFii141q/dIKMX4taHsjmszlSIEhMDwRGCA5dXeKwqHJ/x6KiEgBIY1AglrFTksnmN8WD+3Hq5bBMolA74ICQFOwRIwg3l/rCHGh6w8LAK5sQkVfFASFujEHIrCqlSt3TEhY1s2bbVxsC587vlDdvTYMfvk0kf2xKOP2eJly6yxoRFWiKgJAgKdnbMKD1x3zPZoVejt4pr98TSe8Yn9i3GeFYSAEBACQkAICAFHgPSZIS7eTRL9lBDVJN7DKaGrkcyylCvwcGYaVwR4AG0m/U5DWdjc3GxffPGFXTh/zo4fPWoff/qpLViwAErCTbZs4SJrGN3kPEIKSxJ8ItAVhVAuog5OPJKHYK2BHUDM/8MThNaYgE/kAUIPSsdQpnSpiBAQAkKgXxCQorBfYFWlQkAICAEhMDQQKOPEqbyLgYx9osTDIiHw8VD00ZoAOx5yzVAKjH7B2iyHZUV3TJli9/M87g7b89ST9srrr9vly5dtO5Yir1u33saPGwuhodrrKxbzsC6AZSKaohxQRAT2im6xSOGEVgp0oO7tefvoUBRUvG9RRCjra+yzzkJACAgBISAERgwCkR6CTOKZaYHnxJVXJLIMiY9gT4qlqLCLJBS3eC2g764g9DxkIjGTlGlHHXkqCTF/WLhy1S59dMlOv3TKjh0/aT9+/5098MBq27ppk02fOQsrCRqx+gCTjEVMKEIpmMIkYVhFgLQU1i/jk/Z6Y8Ohm7E7bKtT50K2jkJACAiBAUdAisIBh1wNCgEhMCgQcM5wUPREnbhdCPg7kLwIzqVHVt1lBOx+3MHI0+04Fh65zMF9kGlZUIF1xbQGbGsp2uix46ymqspq/vu/WtPYMXbmzEu2Z88eu/zjT/BbuMGmTptqWeygnGvPod485AAoHQtUB8K6ANaKQTkI/0WwZqRwUYQiksEFn07vakcfbxdsalcICAEhIASEwO1HgPSwg0C2J3STijb+UedWpicM3U1uIe1meU4AMok0mHEQYJ/Ew4VvV0LlYBGVFFrzdhmbln3y4SV78dQpO/PSWS+/ecsWW7/uAZs3e45V19ZioxLsbIz6MlAWcodj1ud99BMpOtpB26V+ewe9A6Vi7IDPD7JjZYF3KQgBISAEBgoBKQoHCmm1IwSEwG1E4Fr2yhUwt7FHanqQIeCvSOf3BKo8SA8UNMDsU37AzschAWpDKPOwebG1tmKDEygNaYCYq66ymXPutCcer7LRo8fY8y+8YHv3PmvfwY/Rtq3bbMasmVYPR+cGB+hcelRsy1u2sgJxWBVSIKCAAisEbp5SxBmmCFAq4uRCBQsoCAEhIASEgBAQAh0IdKGNoKdOp6n0Y3D6iTMVgfg4PXXCGvLjJGCBNJe0uIglwqDB7dzZGISZloT5lla7/NU39u6f/2RHz56y3739lo1pGG1r16+1++9fhQ3Mplh1dY3lsGEJ+QZXB5IxSLqC+UAo/pDuKxLIP1A5mfSPasXYL6ZxFpLddpWiR3UQAkJACNwWBKQovC2wq1EhIARuHwKdlUG3rx9qebAjENh19JIz/pzhL3WYjD15+3YIBm5fiEsIGNksliYVbfr0GbZrxw67Y/w4e+qpPXbguQNQFn5nj+7abbPnzLFRo0dDsYg6YHFQLMC6EPfA3NCy0DYWINxEa8KwzSKUlB6CMBGjSaJOQkAICAEhIARGNAJBFwgaiX8n1JxnIwFPiHawFkQiQlAUetQPrrKDUrAdOw8zL9bFCTv6BGnOX7Ufvv7O3vntb+3I8aP22z++azOmTbMtGzfZihUrbPxEbFqCSUL6NM5D2ZjlfaDlNG5kd2JHguFg4CU8udRZlvGSjDDLux1TPEEHISAEhMBtQECKwtsAupoUAkJgoBEgtxjZrsA5knFUEAI9IuCvByQNzvzj48uO+Q5hPVA6WRPkqUgq4poOz7lQKVOBe/Jm48aOt9WrV1tlZZUdOHDAXn3lVWuGb6PtDz9ky5Zgk5NR9GOEZchoJ4uzyyQQSjIUMPBXRLwkO/TYSWUIASEgBISAEBi5CETOLqjXEr6OiaTT9AlIigpFILVvrvwrg6pDaUhrPxr1oyxob54W/7gh39pq33z2mb1+/rydPHvGPvvkU1s+f6Gt37jeFixeZGPHjrXKqkrUSAUjNYOc2MOkIuqg72EuNyA9d0tC8g8o056CQjLxdcyk0G+eQ0ieABeMeYEkRychIASEwMAi0HtFYcdINrA9VmtCQAgIgT5CoDSMlSJ9VLGqGSYI4MVIFMolKwNn9vl4ZOC58QgFEQgGPKM4vBLhAD+D2bTV1dW7srC+sd6OvHDYzl04b19/87V9/y2dn6/F8uTRUCRWw5cR72dTOEBQocDC4EIMI0kfvAHWn+QzS0EICAEhIASEwIhEIJLDSKdJHEkfnUZixg5nriiONJRegT24AjExOXSSjeXAUN5x8q8AC3/q8ehW5POPP7Gzp8/Y8RPH7TKuVy5fbg8+sM7mzJuHnY0brQL0u93vQ60wYaSaMPgfTJqEwjA06R0KbXs0XvMc4+Ux3o+OeR7PSegoGlN0FgJCYKQhUDYk9Pej915RWDaw9XcnVb8QEAJC4FYQcP1LMrAy3onXIhPZOeVWmtK9wwQBf0doXYDnoUxBP0Z0JBisC4OwQSuFIJ/wDGtAWBNksBkJ/QtScVhVU2VV7VW2aOEiG9M0Brsh1tsZCB3PPvOMtbS12JrVa2zSpMlWlar2pcgpWBMWUWca7WTo3whtdlgVek/K0O30FpelKyoEhIAQEAJCYPgj4PxcSWgGTSRZdNIYlIQk0L4NGQipT7z5LFx0IwK67UpEWBMi329lFbin5acrdvHDi/bKS6/Y2ZfPWh4uQjasecAeWPuAzZg+E5OAdVaRxXJj3E+eIA26T3rtur2kE1RKenNehg2FlQdcfeA7G7Mc/mP32T5DqMNjyUXIYTnGYnmWUBACQmAkIjBwo8AtKAoHrpMj8RXQMwsBIdCXCJC9AlOIP7BqiOKap7LUnlrTSNcTMsM7nWID3xZ/S8pfAnLx5P758mC9MDchaYfzcxZ130QQODKI0515tkgLBbP6hgabM6fGdu/ebaNHjbIjRw5DWfisffu3b2zT1i02Z9Ycq6iogLASlikVsBsylzG1Q3HoKaikZF3oNaIB7xtOpcCWOgd/1zsn6UoICAEhIASEwKBB4FrK1bVrXUqUXzrpDdQ60ERmBqUciTSt+0hXA8XkRiOk19jGmA4MwQeGFQFIdI0e2y1a89Wr9idsWnL8+DF74823rba2xh6EP8I1q1bZxEmTLIelxu4uJPFFyPo9sC9oILIIbJTtse0YeN05dOQy5uWvKdS5TOf7dSUEhMDIQqBjPBiI5+69onBg+zkQWKgNISAEhjMCYBg9+ImMJRk4XDA9yRrOj69nu1kE+FIkL4afqDgMIcoUKSqckcpXqB0WBdESgIJDmqYKWIKM3UlcgZityUFZOBdKw0arqat1v4X7n3vOfrp6xXY8vMNmzJhp1TXVqIuWCUVYKGTh+xBWEalApqOikNW6n6VSZ9in8DYzFuKlnockHYWAEBACQkAIDFIESrST/Yu0rdTXhA6X8joKOA+HS7cILBVLlIDxuuzMjcMKIKKJvX5C4bGhGOhqa1versCP8J+hJDxy+Iidf+OC+yDctGmzrYKScNLkifArXIHGaEEIGu8KQtSEOPtcpOIRffTmwBR4n5KE2AWffMT9yZS1lyk9Zry3PEFxISAEhEA5AnEwKU/rx3jvFYX92ClVLQSEgBDoFwTAvJFvi/ofb2OAB91+eS5V2m8IhNejQ0lY3hBeJzdO5QuVitpDFAjvGK0Y8EdlYTstGFKwGqyERcIEW79ug1VUVdih5w/b2bMv2dXmZnto28M2Z+4cq4H1QjX8HrkrdVQE+0QXSrgcioIHlycHX4bXvrjsT3i5cWOUvMo7rLgQEAJCQAgIgUGGQBn5vG7PnMYFQtdRzgkuKB/PzMPH6SVL+GReQpN5yTz3G8hNRUCjUbyQL1pbW5t9C9/B77z7jp2Ge5A//OFdm44lxhs3brQVK5fbuHHj4Us4B3pOBaFTdtYeyKy3gTRWxjhobzQyJOfAJL8DFohOopNjYBS8Gh2EgBAQAoMSASkKB+XXok4JASEgBITA7UaAauVEBum5K5QLfKlTEAZcBoCgwDuLWOLEXYy5xUlY7kQZJmWjxoyyB9astfFN42zfgX127tw5F1J273oEOyIvtSyUi3Rknspmg0gBSSMsbwqCCIWNdnpo59KnsuAKRL92uwXEOueXFVVUCAgBISAEhMDQQSBRyLl2L/Y6aOHCFeP4LyZ0MY1rTwIZpBV+EdaEvrMJSHIKKwBIpfOFApSEefvb11/budfPY7nxcfvs889t3p3z7cEHN9qiJYvhLmQ0LAmpJKRbEVr8I9CIkG0lbVJ56OSWZwQm89rPiIfkpEzIYil8FISAEBACgxcBKQoH73ejngkBISAEhMAgRiBY9kEpR8UgJYJEMKCowDQq9wrJ5iSUFII9QQaKwAoIH2NsxX0rLVWRtueff8EunD9vba2tlof14WJsflLf2GhVOZBo1OMCCIUKlzoCIEHw6FBksk2GmEIRJKZ5hg5CQAgIASEgBAYZAqRT3anMrqVfSUoZHQyP0rmG6BKEdfpGI6SEsCLklB3cBuOcdavCQjFvzc1X7IsvvrILFy7Y0aPH7G9f/Q3KwSW2bfs2WzB/gTU01MODCOgwJu/8fvTUlYKoHDaJ3jxpsa8oQIRdIw32njoPwCJIDAnsUAdh5o3XPItXqYMQEAJCYFAgIEXhoPga1AkhIASEgBAYigg4/8+DM/18AgoPVBIySrODgosNtABMwyKB1oIFWDdwCVRVRY0tXrzEKjOV1ljXYOfevGBPPvmkffPV1/bA6gdsPHwiFTN5WDHkXKAo0rcSlI9BGUghg+2F4PIHkrxZth8zdBYCQkAICAEhMIQQuJZ+BcpGoleuW3M/gJEQgqaylN+LQgV8aO1PtV2avn2pr2MmyDJ3MW7BpiWfXvrUzrzykr3y8st2Bder166xDRs22tw751lDTZ2lcjmsBwiklkuWaZnodaDOTCD1yEUJbxTRZHUBYwzskfcq3MTel+i2p4diOgoBISAEBiUCUhQOyq9FnRICQkAICIHBjkC5AJCCEs+VdTww0JcghJN2CBa+yInLiN03klkOvgp9t0VILo2NTbZo6UJrHNVotQ11dvLECdv77LNYDtVqGyGwjJ94h+Vy3EM5WC1y05RQP44uGCGHTUIp6XrDksASiukoBISAEBACQmCoINAtCaPSzxV/TuVc2RbLOfnzi3HppnoAAEAASURBVCQFhJektgDXH9y8BJQTf25KCBqcgpKw1Vqwacmljy7ZmTNn7dSZ0658XLduva1du86mzZxudVQSuhUh6gQtd2vCFOtCAMFlX9wdSKIAdGwTAswysZyn8+YYUIa9iQpOLxfzdBYCQkAIDDIEpCgcZF+IuiMEhIAQEAJDBIFyLp+O0akZLEuj4/NskBhCMs0aGNzXEcgvnKjTGKEGOyFPn5Wx7Zu2wLowYydOnbKDzx+0q1eabe2GDTZl8iSrhHKRAkoaFoZc+lSRqnCrRFbHZc5uLpE0nohSzFIQAkJACAgBITAkECgjn536S+Wa/4G4ccKN+jnX0SXEDno7zycJ9DpgyZ/BHmJ5uP6wNOwK+UFOEZuWtF2+bB9+dNFOnj0DS8JXsbFYpa17YJ2tXbfWpkydZtVVVWETMvaAleHDZoKfYCYy7q2EDE/w5JDuWTx4p5KbQz7rkiVhgoVOQkAIDHoEpCgc9F+ROigEhIAQEAKDE4FEGIidi1sdxmuXLrhLMUQUChZQ6MXlw17ENzqBrQOknMrKKpsybZpt2/qQVcOa4cSLJ+zwkcP245UfbOumbTZtxlQoC6tgpQjNIo0KQb3ZejwmFy6UBBkm5HoRHYSAEBACQkAIDEkEOuhsXD5cTuM4/UY1IPVykSbSRUcxVfD9vhJDfigYC1hu/JO9//6ffdOS83D1MWr0GFsPy/1V96+ySVMmOx12633UGRR6rBEfaiLRqJNx10pCWZm0Fk+lc1eMQ6c8tSzatZSuhYAQEAKDDoHeKwopACkIASEgBIYwApyhvlFgCTKnCiMPgbiKuPsnT14KCg3dBooEfMOwTAnSRRILskRySxHmhqk8LrjhSR66P1g2jJ860bgEqgpWDUePHrGzp85YO8ps27rFJk+dajXVtZarrE4EF9SaCDC+SzKadEHE09i8xJJuvxolCgEhIASEwKBAoJxMkTRew2+VkTEq6joUeKB/zONNoHncUCSNWTRfZsxEKArhqRDkFX6BW/OWv3LZ/vzee3bg6FF7+623bNL48bZ161Zbds89Nv6OCVaFyTpqArmTMRcHpOmPkIuOWT8pK84e5WWgtGXXnlh2SEomfb/mmcpKKioEhIAQuCkEknHlpu7pZeHeKwqvMzz2si+6TQgIASHQ5wiQXXOWjcoTV6CEEZaKGwb3e8P0HgJLM3cAx+UeeqLkgUTA34ieXwvvSngv4vvUfe/cFyEKUsAJhyCE8IVKQUFI5+gwffClUblUxv0Zjhs/Dsug1kEpWG2Hjhyy119/zVpaWmD5sB47Mc53JaLLLVi67HYNkGW8endfSP9JoS9UTyoIASEgBISAEBiMCDiFwiFSKtKxGGd/ed0pwS+DqpBKQqd1OKdAO91LL+PQ8jEdK499a5H2fKv9+P339t6779rxk8ft7d//3qbBev+hzZttybIVNnrsGPgBznkzXNZMq/+wzJgdozKSvQi9Cgq/8h4mfUCJnkK8m2cFISAEhMCtIzBwo8ktKApv/TFVgxAQAkJgQBAgX4dx1U9g/IrYgZYXN1ISDkjf1MigRCCQ4c4CQSK2/Kz++rtGJ+Z41cpJultAIIFZ9Ljuqr4ctjuBBJJBWW6l2F7ZbmOhLLx39X1WCcvCYyeO2auvv2rff/+dFfN5W7HiHqurr2MNCCkrQCJK0+F6GhumsDEeKCn5hRfSQQgIASEgBITAoEbA6WaXHoaNQ5iYUFLQSpJKBqfQ0bUHfXKAGBat1ZV7WHjsuxtf/e4b+93bb8OS8IR9dOkjW3T33fYg/BEuXLzElx5bhqKwE07uCQavHrRKDCS0iLbgfZhNIXhrpauQpqMQEAJCYPgiIEXh8P1u9WRCQAj0gEB0RB3PPRRTshDogkCHGBNEhi7ZuOyU3umCmUgorZXCNXdGzhfgO6kI0YRmgbAPhNIwi2g7/CmNGT3Wlq9cYdkKWDtg98b3sGyK1g4wQ7TFCxdbXVMDhJZgQcjlUlkoBjO0jEA82Fxc2z+lCAEhIASEgBAYrAiQbHZSzfkFDqCPDCWyiggn3KjMI23lQuNiET48ECedzLfl7esvv7LfYJnxUfj7vfjxJ7YEdPPRXTvszjvvtOraWugIQS/pK9gtElFZMrnmy5eZ7O2RnioIASEgBEYeAregKNSwOfJeFz2xEBh6CDijRwVMtK6K5+RRmF7K6+HxEv60h1wlD28ESmJJ8pjh2hV0TgY708LOV5Q7YgqFGVbBvRcZxXJjRrAzMpcgU0ChwEILw2wqa+1ZWjW0W2NTo929cKFlcf3i8ZP2Niwjnnzq13b5xx/tnnvvswbsmEyP7RkKO2yCSkIoI31JM5tTEAJCQAgIASEwCBFwWogDzzcKpGslW0KSTP7hxkwxTU+EVqBPQlcaZqzY2mw/fPG5nXvtdTuIjcG++uJLu3fZItu+aYstmHeX1dbXg0aikgzrhEU/G4dBIn39eqWkownt9rykve76WCLx3WUmaeIhrwOOsoSAELgJBHxEuonyt1a094rCge3nrT2l7hYCQmBEIxCZtDhsReVgYDRjavcQee71i3R/o1KHCQI9f/l8fyA/9Bj4ngXrPhZhPSjtFoW4orUCLukwHTKJCyUUOCgMUfHnNcMqIo1lUU1QBt6N5VJ0tp6GYvG1V1+zffv329XmFlu9eo01NkJZiPty2Qrcn5hBxCZ5VhACQkAICAEhMEQRIJ11hZzTT14lAUSUi42LsMAnQS3A8r7Q1mZffva5vfbSWTt+4rh9f/knW7NqlW1au9bugo/f2rq6UJdXQXobK8OkHS5DW4iUBW+77DoS/li+PKvbeOfqui2iRCEgBITADREY4LGk94rCGz6JCggBISAEBhkC13B7g6x/6s4wRABih0seeDS8f27F4E9JZSAFHGaXbBoSaQgFknvS3OAES4/rUw02b/483J+2LJYXn3vtnB048Jzl4bNw1ZoHbMyYsbiHy5JZOQ7UPibRENFRCAgBISAEhMDgQyCZP/OOxYndrr10ikYampA2Ekm4+cWuxlx0DH1fAf56r7bZF59/aqfPnrWjx45ZvqXN1q26zzauf9CmzZppVfDtm8qRSOIOr4cW+Ly5a2s//5p97+jTz79PJYWAEBACgx0BKQoH+zek/gkBIdAvCMRlJTeqnDyk615uVFD5wxCBRKDo9smub03ot3D5UojgGN+ijpQirB88QPhxYYOKbFccxtK0cEAdsDDMVlRYHZSE8+cvsKqKaquuqrGzp89AWXjA2vIQhrBLcnXVVPhcwvop1gOTRX93XWEY26ZKkoHu2RHrSPZ46V0PhTry/Z7uDrFgd3mx8u7ylCYEhIAQEAIjGgEnH5FGAgmQjDi/lRAqh4e7DpOkMbRjZo06PVcsMg03OFXDuaWt1b748nM7dfq0nThxEukp27DxQVu/ZpVNnzbdqmFJSAt9Ov9w1xzw/VHaqgSW+GyjrDdsrucQ+4MSUhL2DJNyhIAQGNoI9FpReD3xYGhDot4LASEwEhDgktCfG35+yZ9bo8oNHQQSieAmOxzuSt6cKOV0qgN5SKfAQ7Udg5dOpA4KR640RGIaPgtT8KWUgvKvLldhs+bMdp+E9Ft4CsrCQ4cOWXNzs23bus0mT51kFblK+D9k3cH3EsUhtkD/h+G1h3iEBG+Ka6CTtl34Yrc85UYH7+11C924xHVvV6YQEAJCQAgMcgR+Hr3o8hBOHEiPQJtIi5CdJHlBv0ZCmEqjKhApMB90auWZsMZ3YgarQmwI1tbaZh99dNHOnDxtp86c9jq3btpm6x54wCZNnmTVNdWgofD7S8LHWnCml47IBrqbkC5dLL+8VVp2q/eX90VxISAERi4CHMEGMvRaUTiQnVRbQkAICAEhIASGBQKUiigc4S9NJR0unfD7AeKEn/GkLOfZVCOiLB+ewg3+qmtqbPqMGbZ581argKXh6dOn7MUTx1CqaJs2bbYpU6dYLlcNRSH8NaFKbnRCS0NcwiIjCGcuMKE+WiyyTd8Ahbur4L8dTt5lJTEs3jY9hBAQAkLg9iIQtWSgLR2BdKjjymkiZ6o8DXmgf77ZF6/xSUWlIJYZg5q5krBQQBzpbS0tdvHiRTt54oSdOnXa6mE5uG7tOtuwfp1NmT7NffsGbWToQNjlmFQVFTstLuuHokJACAgBIVBCQIrCEhSKCAEhIASEgBAYAASishCrhF0b2FOTkGsyLOuBQhQEqMSqoqqq0qZOm2IbNqy3XEXWXjz5oh07ehwlU7As3G4TJk+AcJWxNvgtrETZNJdWWRb15SFk5d2doaUqglyGIzeAdPNGnCig0fBCykIHXgchIASEgBC4FQQiGetaB+kb/qkHTOasPB4s/1A4UeRRIciCbZzoSsMnIZYgc9OStkKbfXzpkh05dNheefVlGzt2jG16cLOtWLHcpkyenCgJMc1GgubULumIN8gak+uu/dK1EBACQkAIQGpQEAJCQAiMUATAco7QJ9dj9zcCfLeCENLTO0YBxe0Eu3SlrLwLM7B74CYlFJggVHGX5DzNBHF7VQWVhdNsQyaH9LQdPXLUjh0/5j4LH9y4ySZNmWKVKOMyFuuwNm+LG6T4MmP20a042A/2GGXQRklBWNaVLp3s5rJz4VC/hLBugFKSEBACQmDYIJDo3K7/PCQPXcgBdYS81ykHDnSNEWgPKWdCPXmPEzBsVEJrQhAWLlfOY6lxW2uLffjBRTtx7LidPnPKRjc12dYtW+2ee+6xcWPHWUVNpdMzb6Gs/VBlWcL1e65cISAEhMCIRaD3ikIfuEcsbnpwISAEhhoCyZjVhVcNT6HxbKh9m0Oov3jjyl86l4rYfURK8fLHiYXLMqnj4zvqZn50us6NSvJeB5WFE6dMtAew8zGVfi+eftGOw7Lw6pWrWJq8Gf4M51kNlidbHvenCjBRpJIQH4hl6QwqLtKsEcIXJLRihspNNFNa84WLXgTvecehFzXoFiEgBISAEBg+CICyOE3oeKLAdiGRyj8kB+oD+oNJr1iW9MhvA31ya3pWA2vC5qtX7a9//asdOXzY3rhwzsY0jbKt27bayuUrbPz48ZggA82LgZXEUKoQCd6BJIFay+6CeMPuUFGaEBACtxOBnsarfuhT7xWF/dAZVSkEhIAQ6BcEyGlGPpB8KZm/yACC6VQQAv2BQLAqRM3BvC5pwsWebuI99MDfXby8fH+dOeCejdQZprFEuAh1YdGy2ZxNnjLJ1mLn4/qGWjt67ISdPnvGCni3d1dU2YwZMyyN5ccUxFLYaTmVhpIQysIOJ1BYyoVK+ZNg3ew3j4x3H7rL6S6t+7uVKgSEgBAQAiMJgXK61/m5I+Vw+kMlIYPzZ8k9SQHaGOax1DjfmreLUBI+s+dpe+s3b9rcWXOwu/F6Ww4l4dixY90fbx60L0M3HZj88o3BQq0ka6ilvC9JPPKDsZzOQkAICAEh0Pulx3FgF4ZCQAgIgcGOgLOCPIBxDBtEhB5zHIufwf4M6t/QRCCIIeFY/gSBhlJkuTaP5TwfWbT8C4uwmELfTFDgQWGYgWUgP7SuKGJJVlVVjSsLK6srkZ6z/Qees5dffdVy6YxtxwYn02bNskxtrWUhOKUL8FHYXgF/hbC6yKENKA75w+BfkKSSPnXftVAm9BDxa0N4tmvTlSIEhIAQEAIjFYFyyhCJS0gjjfN5MF5Caed00V1sUNGHJC+GibHWVvvTe+/Zgeees9fPv2azQNceeuhhW75sqY0a3YRNvCpBJcPkbypDy3u2g5t9TTMrCteBppLa9TwhFnWH3q+R+pXpuYWAEBjRCNyCRaGP2iMaPD28EBACQwUBMIfg9gLDF1hEPzqvyrFM49lQ+SaHVD+v81ol4kvP714ipVAxGJTbqAwbkvjWxRB6glIPt0MYSvny4XarqKy0sWPG2vIVK+DkPW/H4OD97Nmz1taWt01bN9ms6bOsFhaH7Zks5KY8rC24jDkL2Sl0lLsms190JB/kKlwxocdwnQfs8R5lCAEhIASEwPBCoDtCEelDd3nOkgV6Q8aM1n/JmbhwR2PDJFgKFobc0KuQz9uVK1fs/b/8BUrCA/ba66/bXQvusu3btts9K5dbE5YeZ7OwkkfZbBqiLS0T3UUH2vZuJJaKjJPe+Zknz+z2q2B3FISAEBACgwuBgR2Yeq8oHNh+Dq7vSL0RAkJg6CLAsStygDGu8Wzofp9DuOfdi0/JA+GddCUhL4PBX1AYFhOrPyTTryAlLchDKBte4kwuZ+PGjbdV962yCiQdeP6wnXr9ZV+i/MjWrTZj1lyrqK/ETwA3uiUh68hASEuW4OO3Qd0kgwtRrjHERZIWMvSDcRx0EAJCQAgIAdCHSBNIKJJ4KSlGEqB4SbLDD/8QoZV8RynY0RehKEQaHGxg05KCtTY3w5Lwj/bsvn12/vw5mzV7jj388A5bvmSJjRrVhEmvTJjminWVljB31JpQtFL3yhrUNygEhIAQGBoIlA9pA9Dj3isKB6BzakIICAEh0GcIYHDlIpM4xpb42pjQZw2pIiEQECjXrd08JuFd5Tsb31VuVuLKQX+LKUwFAQs2F0gv+NvNXZEzsBgcPWaMrVi5ytrQiRdeOGSvvPwyShl2hUzbnNmzrKahAS4KsXwZaa4kdOV5FNpKIhVykx9IVBjG69L55p9MdwgBISAEhMAwQiDyUSViVfZsTlvKrqkldPpBNSECDu3tmKiCJWARZzrkyNA6EEq/VljDN1/5yf78x/fs4MEDduHceZs2c7rt2LHDlmK5cWNjk9/ndNKbQJ2sCnWkMqChnESjJX4SYsvxWmchIASEgBDoGYFeKwp9cO+5XuUIASEgBAYlAhy7OsYvsqTl14Oyy+rUSEUAVhEpLL+iOMW/ZGEwBKkolfGMD+UgWBpS2HJrQCr1YGEx5o5xtur++60qnbPDJ47ZWQhZV1pabfe2bTZ/8WLfGZKKQg+4kU7fubGyV+8/DBy8qZiYlP2ZJ1ahIASEgBAQAsMXAScR8fE6XcTEeC6jCEk5kipyYb7hCOiX0x8oG5nN5cctUBK+9+67duDAQbvwxgWbN3+ubdmyDT4Jl/lkGG6E4SFdaIQKvQXEqTgMtVzbIZYpTy3rVeyozkJACAiBQYlA+dg1EB3staJwIDqnNoSAEBACfYrAQI+wfdp5VTbiEMD76vIPLQm5Tgvij/97OpR6sJjwa7figBkFLrmbcXs2bVn4dEpB6ho37g67f81qq6itsRfgs5DCVr6t1R6Fxcbddy22XH0dlIpBWe5LwFBJETsjs+EgaLFatIu6k8OI+xr0wEJACAgBIdBLBJx2gcZEGkbKQhqWVBcoTdo3IQkkDYpDVxJesb/CJ+Heffvt/IXzNn/+nbAk3GULFy6yMaNHwz0vFISwnneaBxrF+kKdsXKaE3bfZyazbA/Z3d+kVCEgBITACENAisIR9oXrcYWAEBACQmCIIEAphsIQxRn8F+mHEP+0uuCyKr/gOisKYFhe5dYYvpaY94WlW+1YztUAoWrp0mVwSdhu++D76cJvf2epbM5yuOfOhQutqqbWCvBR2M4NTixrOe4WySph7pFCGeohfeVxOAwR8NRNISAEhIAQuN0IBAUhSRj/SEtw9Imo0DMYzSOdm2txOy3EsRFXa0ub/RG7G++HkvDcG+fgLmOO7dy1y1asWGajGkZhaTKWKZPgkc5R6+iTZYhGAsmG+EHw7BDtdEyyO6XpQggIASEgBDoQkKKwAwvFhIAQEAJCQAgMHgQo4TAk50yGYhSvg8+lIIBRQYhyzIuCEVWLvhyZyj9kQSk4avQoW4zlWm1IKB46ZG9cuGAZWG08jOrmL1hg1dVVQaBKI98FOW8JVdJnVGgvpNzgmAhsQbN4g7LKFgJCQAgIgeGFQA8aOKdmnpdMQJG64LrICSooCdtBOwqFNmuDe4x3333H9ux52t58601bumiJbd26xZavWGGjaUmYybleMONKQc6McSotWBQ6EUsaihbyBJdJPXSL2QpCQAgIASHQDQJSFHYDipKEgBAYvgiQYXQ+0h9RrOPw/aaH0ZPhNfV3FsuKKe64H0IKRlAQUqfnmbA2pILP32+kh/JQIqYLVoDJBpdo1TY22sJFC/2+Q0eO2Lm3fgM7DohYxbzdOX++1dfWBYGNdRM+tutKytiIpzJHQQgIASEgBEY4AiWKEEkEzyQc5QGFAkVi6WTiySeyUA4W8UzlJ9/a6m4x3v/L+/bUk3vslddfhQXhStsNS8K777rbRjUFJSHWHCcW7rwLAaeE4oWKQmpHWum6S894e5euJkV1EgJCQAgIASDQe0WhSyfCUAgIASEwFBAgN5goP3DmVZiDDuegbRkKz6E+jhQEwjsanjbKMlyyFd/diIPb+nmB+H7zTYfwRatDLhUuZmAPiLcdl7mqKhszbrytWFYJBWIG1hvP2RtvvYVyQcy6c/4Cq6+rsUyOrAGXHAdJqiSEIZVp3gccEjHNu+JdQCzFNnkhHsFx0UEICAEhMOgRKB/MY2eTQd3JQEzr7hwHf1CEIsZ/kgB+SFdIJVLu1iJYt6fhSgM+NPwT6kVBWLHnsdy4pa3Z/vjOu7Zv3z57HUrCuxfcZTse2m53QUnY2NQIQ3rStKQDpU6BJpLWsD2GsmgsGvNikVAwlC3FFRECQkAIDBUESuNf/3e414rCICr0fwfVghAQAkKgTxCgksV31QOzSb9uCD6O0doqcpJ90pAqEQJ9i0BJ4EG15fGuyriO9zjGUJr/9HOIsy/Sqqy0hqYmW7R0ieVyGTt46AV76803rAK+DCsrsjZ33jyry9TChyF+J7g56P24mzIEQJRxoYwCG0OiDCytNi5LY7RTX5mgIASEgBAQAoMKASrQuirRXNEXe9k1M6Z3OnO052RVOMfBn1NbpD3twQweZ9ASLC+mi11yXiyNBGtrbbZ3fv97e+aZZ+zll162xUsW2y+eeAIblyy0+voG0B4viYp4Bn0j7UHUayBtYj1JKI/HNJ57Si8vo7gQEAJCYHAjMLAjWa8VhYMbRPVOCAgBIdCBgPOUzq2Cz3Sml4xmzOege72Bt1Qw3qCzEBh0CFA12Elhhx6GNxc5FLKgHHcXh/gdpCsrbMyYUbYEPguLENx++uFHO//GeVgcVtgOKAHnzp2DDU6wGzIsQeifkCueUykoCSE9ZmiaWIDNIqosUl+IRihUuuoQP6rYBwJ0vV8V8xWEgBAQAkJgECBQPnB36U45B9R1TO+UR1pAOoQjp2LDEeSigEkq5JF+FKEUdMJEmlSAlSFKNrc025///Gfbv3+/vfLyK7bgrgX2+GOP25LFS6yurh4W7pzociIUeuYTvbgffS5vv0u3dSkEhIAQEAK3iECvFYUanG8Red0uBITAwCFAJSGC+1uLcVyToeVYdv3xjPdevwQKKAiB24xAeMdLncAlrS0o//GTyofrDN5/KviyONc3NNqiRYvsp8uX7elnn7HTZ05j45M0LA0rbPr0GZarqICSME2DD8N+KNg0BSyDa9hDW/xVhBgiHZr30B4y9aspfRuKCAEhIAQGKQKlUbzUv65jdyzRNZ03RB2jWyEmdMDdVuAmptGSvUilHpYXc/KJoRU0hYQl39Zmf3rvT/brJ5+08+fO2bLly2z37t22YvmKoCSEb103JvQDa+o+dNev7ksqVQgIASEwdBGIY/FAPUGvFYXu/2igeql2hIAQEAK3gEBYpkKlYFjqwoGWjCzPVB6GDRuu18BAD83X64vyhMC1CNCOI2rmotAU32+35vDlwkE17oIb3nsKeHVQFq5YudL9Eu6DRcfpF0/Dq3y7bd/xkM2cMduq4bMwC2EtC5+GKdxQwBIyN+6A4AbXUv6LQlWMeChF/TpJvLa7ShECQkAICIFBgADpxc8dqa8p5zQgUJxwJJ8FGgGFYSABoBl0+ZKG9SBpB23PQYDasXFJS0uL/fX99+1Xv/qVvfLKq7Zk6VJ77NHHfdlxQ2MTCqE86E4ISct+ooUh24kh8HLxSmchIASEwLBFwBnugXu6XisKOwbogeusWhICQkAI3BICYDI5drmSMNFuxM0Zbqle3SwEbgMCLiyVLPnwcieyFLtS8uGU5HtZOIZy8Qo/gjS1hPk2txhsGjsGysJ7rJAvuGXhqTNnPf2hh3fYzFmzLFeJJcjFClgVpiyDOgpsCvV6HfxFdWVc+CPrJMjdBnDUpBAQAkJACPQpAhzaY3Byw0OSGHgpWAxSMcgNSzCjREVfhkuOSYcwWUVlYaE1b1evXLEPPvir7dnztJ09+zJ8Ed5tu3butLvhk7ChocE322I7RdTlSkcqDEFTelIJlvcr9k9nISAEhMBwQ8DH3QF8qF4rCgewj2pKCAgBIdDnCLgipc9rVYVCYHAgULK4gATlshwO9AgVrADRRwhdGWxOQquNNCwGR48aZffccy/8SRVsL3adPH7yJJYh52zHww/blEmTLFuXdb+E1AnSH6ELbCWORWLa4PjW1QshIASEwMAgwFHfSQCJgsdhS4hEUBT3URj81pLqOJkByUlZS77V8vRJ+O6fbM8ze+zcGxfs/vvvs4egJFyycBGUhLAk9FrhIgPKRlonuo4RlSTNJBG2yZoVhIAQEAJCoL8QkKKwv5BVvUJACAgBISAE+hGBrspuCmIxULgKQhxScBHKBqGLSr4ChDAX4dz3UxC5Gpoa7f5VqywD34TPPrPXjp047j6kHt2122bNne0+CtO+boytdBbS4lVHD1im8xVTFISAEBACQmCIIUCC0k2IqU57cBFGfKYyhjMtAhHNwLqQm5a0Ycfjjz/6yA4ePIjlxi/7hlqPPPKI3XX3ImsE/SFtymSxcRbaY510c+U7JoNOucsrp1eoMFaflOuma0oSAkJACAiBW0RAisJbBFC3CwEhMDQRKFeqDM0nUK+FQGcErlEcQpqiRUaRHuVdiKOwFVR8PFMoS0OAo+VHIVvhFoZjxubs3nvvs/Z83p7du9fOnD1jNfUNtqOmyqZNnYJdTSq4q0kiEdLjFAQ5CIOsn8IbXdWnIdyxfgUhIASEgBAY+ghweHflHc4p93db9kzMROCQz3G/kMcUFCK0Tk/55iWkEUhvbbPPP75kB54/aCdfOmN33bXQHn/0MVu8aInVNzbArUUQSdNJ/ZGeZbChVrBjx4kVsaHYpggNwFAQAkJACPQPAlIU9g+uqlUICIFBjkBkQgd5N9U9IdArBIKeriRNBSEO/qHompCpKfgapHUgRDj4gAq+oAyWHLn2rI1qGmUrVqy05qsttmff03boyCGrr6+17Rs3W+PoUZaprgj+CSGkpXKsI2N57GjJNtPZDPxKFZAP9iJ0olf9101CQAgIASFw+xFwXila+JV3x8lLQmM42KMMLdV9IqlQhPVgHpaEVB62W3Nzi3126WP79S9/ZcfPnLY5c+fY43//hC1buhyWhE2gG7nO5IL3lVL8IqEniCeBsdh6TNNZCAgBISAE+g4BKQr7DkvVJASEgBAQAkJgUCBAASqKVFQEepyKPe8dFIb0NY8MT0Fith0KPlzTCqRQLFjjqCZb88Aaa8WGJ/v377O9WIrcfPWqbXpwk02dNNlSVTnUBF9UbVjCjB0taaHLzU2KEBBTGTqeHxQwqBNCQAgIASHQWwSg/CtZErIOEhZa9SWB7is41NOfILY39jioCFIKloUP3AImjQrNrfbFJx/bvuf22bFTp236jCn2KJYbL1m01Jcb0xcuSAlohns1TGrGyZvpQki6uezoTcetigkBISAEhMCtI9BrRWGXsfrWe6IahIAQEAL9hEA5I8mxq3z86nrdT11QtUJgYBHwl5xqQLz98QeQvPhBXYjEInKh4OPyZCoNsWAYS4e5szF2qoRl4Ljx42zj+g2wOCzYU08/YwcOHrBKCHXbtmy1MePGWQ7KQq4KK8BSMYPlYkWcU74sObSJqhWEgBAQAkJgqCDAMduH7zCGkzYwxMkmXtO9BIvFTxqKQ6a5+SCt1qE05PLhVlgU5vMF+/67b+zokSN27PgJmzlnlj22+xFbsXQZNtBqshRdWXhFPHQJP5OAdHNnl4p0KQSEgBAQAr1BoNeKQvdJ1JsWdY8QEAJCYMARACsJfjcylGR9yfhGJvjGy5ADszzg3VaDQqDXCOBt5z9fXVqAIA69YBD4/BIX2AK5WGYxwjJpWgZiCXIqcUI/ZuwY27B+oysUn3rqKdt/4DlraGqwtWvW2pjsaEth45MMHc5DYdhO34Soj34L/dfFdhWEgBAQAkJgUCNQ8tmcDNkl/gjXHM2jsZ8P6aANtB0EuXB6waXGICVOZ9os7+4t2lraYF1esK+++MKef+Gg7Xl2r82cNdP++Z/+yRbMX2B1tfWWzcGFha9NJjSsrWvoSj+6K8NmXU3Z9WZdCwEhIASGHQIYbTFcdj8W9sfD9lpROHBd7I/HVp1CQAiMPATAdOLfx9fA7QbWFLPfGs9G3tsw3J+4Q8TqiIVn7rhup8NC2oLQCpCWIFg2nMey40JbGwQ4WBVSaQjLkFFQFm55cLO1XGmxZ/Y9Y7988tewFMnb2lVr7I6JEy1XWeUO7I1LkLkrchL0u4pI6CwEhIAQGMQIxEmdkgAalhF7j6E1JK0IE6ugFwn/xIkhMlUp0hHQDWeukNeeRxryvvnb53bk0EF79tlnrWFUo23butUW3XW3NY0Zg7KwQMfdaVqhU1kY2y+HKOlLnMi9lp4wpayf5fcqLgSEgBAQAreMQK8VhbfcsioQAkJACAwQAu5jx3lRzITT9ClheXnu+AxQZ9SMEBgIBCh4UWhjW0GecquP+MYzuUjhDmXSWD9My0KWy6ShIKzgImTmwxk9NiupqMhZDlaGGzdtsObWq7Z33z57CsrCHHxQrV271hrHjrbKTAWUh/BO1d7my5DTOTinZyUKQkAICAEhMDQQIB0oC3EMd0qS5LlDC1oVgn6UrNSpTISPQloRtra22tWrV+zI8WN24IUXbNTo0fbEE0/YmtVroDAcBUtCblwCGoPK3ZLRJ6ycFJW1THKU0K8klVedSUrnvna6WRdCQAgIASFwywj0WlGo4fmWsVcFQkAIDBgCHLHAYuK/nPVknDkazwbsi1BDtwGB5O3v1DKXa9GnIH0MUmhLQ9CD2BeWmSElBUtCflAIBdphNVhpU6ZNtZ07H/YNS/YffM6ew5KyhqZGW7ZkmTVjCXIFLAuzlTksPiti92Te12Fd2Klxv+j+VxcFwe5zr61FKUJACAgBIdA/CITxOBmVQQe4YRWJRBFnblxV5DgPOkIFIRWIBVia//jD93b8xHHbv3e/5Sqq7RePP24b162zMeMnwK1FBnSFJXG/axk5cZvwZd5Mx8gfYknbyeN15CYJOgkBISAERhACnUfE/n/wXisKaVauIASEgBAYCgi4q20fs7A0krPY+Av/nNUOn6HwHOqjELhZBChYOWORcBd+gmUIl5LRWoTWtvQ4RZ1gFta2rjyn5Qg/KEC5MC5RrsxV2oSJk23nrp3W0tpihw4fsl/+8r+sta3VlsI5fRMsRQqtBoVhpS9dhhwZlI2o1X9zqJNCIqumaJh0qcsjeWYo3yVHl0JACAgBIdDXCIQxl7XGWPBZ6IO/b04SWqSNH0MYw32He9ANWp3noTBsa22zq5d/sjNnz9oze/dhM5M227l9m6285z4sNx6Pcjn3ZZvmqg5OQDmdQXWJ4tCr7nKI/YnJ3dOMmKuzEBACQmCYI0DGfQBDrxWFXQfvAeyzmhICQkAI3CQCycBKvpdMrg+0TAtxjWc3CaeKD0kE+J6HX4Kr7VyJ58vyXXMXJ/+oNEziVKLDf1RYogwlIoRB7oY8ccIE275tK5aX/WQnjp+wvc88a00NTXbX3TVWU11teex22d6WhmCY7GiJVilU+hJn+kLEHzdN6fq7S36ljm3XvCEJuDotBISAEBgCCATZ0xmkpLdlozEy6ZqCG5awXJh4xTEVrAhTNCrEMuSrzVfs1ddesX37oSRsabHt2x+yBx/cZBNAL7IVEDf9Zo7+CLRYLxvky6LXRevnlrtuJcoUAkJACAxRBMpG5gF5gl4rCgekd2pECAgBIdCnCAz0ENunnVdlQqBvEMDPgMuK07DqoMUg1YdBfEss/5K0oFXEwmQoDIvtBS9DJSKXIc+YOdMefewx+KMq2EuvvGT79++HHJi2efPnWV19A/wXBgUjfR4WsCyNa5wp5KWR7u0Fs0I27sGbTGISBhNQdBICQkAI9DMCwXowjLqMx81DvFkkc1opjN5I4eQRJozon9BdVmBUL7RhufH3P9i5C+ftV08/bd989bXtfmS3rX9wg02cOslyNVWYcMpyrys3WSzCIwXpDjfL8nXMThkQVRACQkAICIFBhYAUhYPq61BnhIAQEAJCQAgMDAKuJKR8CNMOFxMpyCHurkWQ6RucMAnyHBWEkA1RDpaBSKiuqrbZM2fZE48/Zi0tzfbGmxewY3LRHt292xYuXoTlx9W+zBgSpZcvcqmZKw+jxWJok1YlQVANz+z9CFEdhYAQEAJCoJ8R6DxnE0ZgtzRHu+6aAmM4VXpOL2AtnsKgjWkm0Ie8tUFJ2Hz1qv3mN2/bvr177YuvvrQNG9bb2gfW2pQpU60SdCKbgV9CJyKo2/0SQvVI57hOb/r54VS9EBACQkAI9BoBKQp7DZ1uFAJCQAgIASEwdBGg8EctoAuBHi97FiSmKBlSSGQBloNsx2VmvMxmc1hanLU58+ZhR8vHrQ1Wg2+9+aZVV1dZXV2dzZ5bYdW1EBKxMzKXmdHZfRoCIw0KqTRknayHRxdKkSAloQOigxAQAkJgwBDoGHcRSy6iZaFP50CT6H5sQQ/aE9cRLFfgcmPsbvzHd9+15w4ctA8//Mi2b95i2x5+yGbPnm1V1TUY7+kDOgz27Yi3u5IRj0YloYIQEAJCQAgMagR6rSgMDP6gfjZ1TggIASHgCHQwwkE50TF+hQ0VOq4FmBAYHgiUv/M9PREVf2Hpl6vrOoq56QjSfJkw1onR7I/LlL0ElH3wW0gtXzv8DlZWVcI34SL7p/8l45Yl589fgLKw1nZiqdm0mTOtFj4LqWGsgAVJkdYotC5Bu2GDFGShbv4KfbkbBcokdMRiis5CQAgIASHQ1whw7OWQz2GeoXzsdYtCjv1wPQEdoU/wFAu0Oi/6eP+HP7xje/Y8ZX945x27b8U98Em4wWbPmm2VGPfpZqJkLe7KQk5KoXZaFTL45FBotLzNkKmjEBACQkAI3G4EXEy43Z1Q+0JACAiBfkeATG5ZI5EpLktSVAgMGwTK3/VuH8oL0EQQuR6PEZz9GumJ4BjPXJLsG50w35WJoWAVlIXz5i6AZeEvbPq0aXb06BE7gh2RL33wgf2EDU8MTu9ZB1SEia9DiouuHoQAyt7FhhhXEAJCQAgIgQFHIA79UOBRwRd0e67a86XG7A+tzDOY9KHf2Q/++oG98PwL9t4f37NlS5bY9h3b4Y5irk8UZbJZjPGcEfK7eCcjCE48yqKkAwpCQAgIASEwGBHotUWh+PrB+HWqT0JACFwXATKtXblSpklPcV3YlDkEEej6nvf0CKX3P/lxxPsoJXpeskYMSkJa/zFw92PmcUOUFDYrYXJDfZ0tWbIUm5u02H/853/aoRcOWXVNtT1c/7BlU9j1soaCJ3ZCTmWxfC3Pm0P9aIaiKGtm0x1iY2jLM9hoDLF/SXZM1lkICAEhIARuHoFg9ZeMwByPfYwNAyyj3K2eMzptzW2Wx9jP8Z/LjA8dPmyvv/66LV+21Hbt2m3z599ldY31Xp5LlH1Eh0G6n3EZqk180/IiNNFxZlEFISAEhIAQuD4CPphev0hf5fZeUVga4fuqK6pHCAgBIdBPCDhDCgaVzCoOvAxHtheu+qllVSsEbgsCfNf9Le/KUHg68zoyQiy5LuWXIiyMqsI1fUxxU5Pg0B42I1AWtrW0sYDVN9TbkqXL7R//8Yo988zTblnYUFNrGzdutMxEKAsrYWXCeylEwuKkiKVp/B1mDMpD1O+2Kx3dCj9N/316D8IhWRadZJZlKCoEhIAQEAI3jUBpqE8iriksJWKs5ySPWQ5j9tXmq3bpo4u2b99z9tJLZ23evLm2edMWu3P+fGtoaLR0rsKbd2tCH93hlzChHb7rMXLbUVnweYgxn80kE1A33W/dIASEgBAYkQiUM8r9C0CvFYUdJKR/O6jahYAQEAK3ioDzoj6uUi2BSFR6IMP989xqA7pfCAxGBLrhJcr1bDG7J3oe8hP/gcnz0ZiQSjpalXDvy0wqY8VcwdpaC1iSlrLx48bYunXrYTVYtCef+rXteXqPW5g8uHWLjRo1GkJhwXfBTLfD1yF+i/RVmPedNNFaFuYn/E3y4CGek8se08rzFRcCQkAICIGbQaDkSxA3uWKPEzcYkjkWt2OZsQ/MUOh99tmndvjwETt1+hTG+rG2bdt2W7R4sTU1NlquIpeM3KQcGLtRQVQSsi/lo3mgLUj0NpirIASEgBAQAjdCoDR23qhgH+XDnlxBCAgBITDMEYjMaNkI60xr2fUwR0CPJwSuQaBccLsms0uCC4xwaB9+N7QEJPsASxMsPc5lK62issIyiFfmKu2OO8ba+vXr7KFtD9nVQps9ix0x3zx33q5+/4PvndIKe5LWthazfNHybXkoG+G/EJucFKB8LKINKhAVhIAQEAJCYAAQSBR63Jm+kM/DYpzLizHi0/Kbk6r4tLW12eeff24vv/yynX3pJZsw4Q7buXOX3XvPShs7bpxVVFVBLwgftpz8oYUglis7rcDEEi/p25CWhPzwOu2ZnZWHA/CkakIICAEhIARuAoFeWxTeRBsqKgSEgBC4rQhEtQN5U86cx/Nt7ZQaFwL9iUDy0sd3/5qmmJEIa9fkXZOAwhQcIez5rwe/IVqLUDCkQFnEJwslIYVDZGBpcdbGjRtv27c/ZK3wR7h//wHbv2+/VWZytmLVvVZb38DbvY7W1masQq7xeNr9WsFCEfV5/jX9UIIQEAJCQAj0OQIc3zn+YuClBWHeJ2yg+MMsDi2+P//iC3vx5Am3JqyuqrbNm7fa/fevsrFjxlk2h7Gf/mp5OzrGVRs+lCMexnGmKggBISAEhMBQQ6D3ikJx8UPtu1Z/hcDIRcAVD90zq5zhllZi5L4aw/fJXR1+/ce7Dh0v/7V43KuDEBlkSd/BmFIhVYduR+KFcIBVYMrNRdI2YdJEe2jLdmv5qdkOYyfkXz77jGWrKuD8fplVVEM5mG5zH4cFSJVZWLHQOpF1sg39Jq//1SlXCAgBIdAnCGC8TXPSB8NvERaFvlwYYzLUhdjd2Oz777+zc+fO2fHjx621pdkngFatut/Gj4eSsDKHLnCzkzBu07UFJ5BiiBOzvHYSwTMjCR1hOgOHfAUhIASEgBC4AQLX4dtvcGevsnuvKOxVc7pJCAgBIXD7EIh+eEpnqjkGeNC9fU+vlkcaAok8duuPTeGPSjzsYkJB0IOfcYBMmEo2RnYlX2JKkm8r4B4oCydMtEd27rTvfvwBfq1O2zPP7rXqykqbfeedVof8qsrqIJi680O04UJrsPq99Y6rBiEgBITAyEYgDNWc5OleHcf8uJN9LEOr7gKWG1/+6Ud7+6237OTJ4/bjDz/aOriUWL1mFdxL3AF3EUFJyMki1lx01xFpy+Jejv0hjdbh3oOSorD0bcTuhOxSsiJCQAgIASEwOBDomPYZHP1RL4SAEBACQkAICIFbRCDKXvHcq+ooyLkwh1pYES1F6GsKaUymYBiXHhe5FbIXwRI0LkNjeSgNc1WVNmX6DHt896O2ZtUq++N779reAwfsr+//1QXRUBlqw6YormjsQZj1ynUQAkJACAiBm0KAY3VUAHZ7I8dqFKIheAZjfCFfwJxQATscN0NJ+Bvb/9xz9uknn9l9999vm7CD/dQp060K43omS4+ECDhQsZjHBlY8sz0GP2siNoChoxAQAkJgCCIgi8Ih+KWpy0JACAgBISAEro9AIv31WMhFvB5zu8ugzBfkPigL6aQeF/6H9Li5CS0MqSBMp7MQOlEuDX9V+Jszb6793WOP2ZUrl+2VV1+1mtoaq2uot1kzZllNXQ1KwAIR9/myNVcWYilyaCz4zkK1vHZXAZBA2a4Hb5uZHQIqfWXdKCR3d1vsZ9ze7X1KFAJCQAgMNALXG8vK+8JxrbwslYf8eBoO7T7Zg7Eb8WYoCd977z07BkvCDz/80JYvXe4bVE2fPtOqa7FxCSaDGNIYk4v4cGzOIC3NdFaQBB/DfTyPKTED564d6lJEl0JACAgBIXB7EZCi8Pbir9aFgBAQAkJACPQ5AkHZ1SGw9aqB0u2J6gzCYJpLkBmi8Ic0SpopXnt5v8BOyNmg2IM0WIDwWFddbXfOn2+7H3nEvvvuO3vp7EtWX1dvu3fttinTpsEhftGyFRkIq8Ea0VtM2nJrGDrLwjUVj/SnFcxVQlfYLssnvUz6k+R1c/JudpMek5hfqism6iwEhIAQGKwIlI/HXfuYDGY+7pUNbsHKEJn+T/8RGKuxccnVq1fsL++/b8eOHrb3/vSe3b1woW3ZvMnunAd3EfV1lubYziEY96VgCc4qqTb0dCoNvb5EARn75bXjUB68Q+UJigsBISAEhMBgQoBju4IQEAJCQAgIASEgBG6MAIU7lwxxoOVI+bUrDZkGYTHDpcS0EMTy41QWVidmFViutnjRYvvHv/97mzx5kh07dsyOnzhuX37+ubW2tRr9GnLHTS57o8liO3ZMjhYvKe6ojDTfJ4WNxnaT7lA4ZZKCEBACQmBkItD9CEhba1cKJtn0R8iPK/dKSj1G2q2ttcUuXvzADh07bG+++ZbNggXh5s2b7c4FC6yhoQETOjlYDnKyKAzAtBan0pAWhrQujFbgIxN/PbUQEAJCYHghIEXh8Po+9TRCQAjcBAIdixVv4iYVFQJCoGcEIG8GIbLditzYpIClbFDy0RIxnc1YY0Oj3XPPvfbYI7uttqbGnnzqKTv98hn75m9fWcuVKyVrFCoMuYQ5WirSPsWXu7nhC8RTaAz5CTcE6xUpC3v+WpQjBITAMEbAJ2m6fz66c/Cxk2MzlIEYSV3N56VxXxG+BfPwS9jS0mJffPa5nTlz2l47fx4blkywrRsetMULFlpdU5OlK3K+zBg3WAbDM8dmVslh3hWE7IOCEBACQkAIDBsEpCgcNl+lHkQICAEhIASEQB8i4IIl6ruZcyxM4RG3Uojkbsm0Nslil8xMLmujIHSuWrPGduzcYVXVlbZ/7z575eWXsavmD9bS1ux+rvJhJVwQRn23ZVjBsEL6wGLdyYfVl3ZiRjzmMdpj8JuQ29O5xxuVIQSEgBAYXAhwGLtu4PJffjDg0bKwfIKUcY6lhXzePv/8Mzv1EpSEr52zcaPG2KYHH7Sly5Za05hRVpGrgM/ZLKwQgyUhzQhT8EObVBvGXbSQ5HYoIq/bMWUKASEgBITAYEag1z4Kg2+Lwfxo6psQEAJCoAyBErNMnrmDteZsevl12R2KCoERiQCFPf5CeL7ZwJ8W7+PulxQqXSyF0q8IaTTjUmTKchA6R40eZRvWrfcdNp/d+6ztfXav1dXW232r7/V8Lln23yV+n7R/KRZgRZijcIp6oRnkxicMcGkY+pq0W97nUOLmnyMOD/F+b0gHISAEhMAgRIBj3g3HKo6PpcExlC62080DxlUoCb/54it76ZWX7ciLJ30Tqi1r19t9K1fY6PHjLFdZiXEXy425XBkKQo7l4Jp8XOa1b0DFHnSdsbkJrG7Y/5uoS0WFgBAQAsMZgYF08dBrRWGJ3gznb0LPJgSEwLBAwJUXGLTIjMaxKyoHeR3ThsXD6iGEwG1GwK1UXJEHYRKKPF/ohqVtNBKk6pC+DSsrKm3i5Mm2Ff6vfvjuW9v//EF7+tk9Vt9YCz+GS+A0vx6FKZAiJJq7Qlve0jkIrFzG7BnMQ7GyH3CMlv/WWQVDeV5Iuf4xlr9+KeUKASEgBG4/Ahzzugu05g7cTyjRTgUhou3YuKQAFw/ff/e9vfHWm/biiRPW/NMV27xxo917/302fsIE90nIOunlga4kqCTkMubYVtjcipM6qI95ZR0oj5cld4rGen5O2U436kIICAEhMAIRGOixsteKwhH43eiRhYAQGKII+MAKjhR8rCsVeB0H23geoo+mbguBfkHg+r8L5kYRr3PzQSZFPiLtsAakQJqGYtBnQGG9ksmA7eC1ZawGPgqnTJtqD+942H746Sc7il02n376aauCEvFu+MWqqKqyVGUOgilKQzEYhdX2DP0Tog7+ntl8eVeSOPsRk71M527qSggIASEwIhDgpKjbdmNAdAtvun+1AvwS5uHu4Xt76+237OjJY/b9t9/b2nvvs3WrH7BxUyZbDjvVp7GrcZbWhJyYKVMQZji+I6mdA3wchGFRSKPCmxlvY9k4Vo+IL0QPKQSEgBAYIgj0WlHoFgJD5CHVTSEgBEY2AmSOyb26EgORyJwGRQOvY8rIxklPLwTKEehJePPfEYXC8sJlcS4b5k8qGv1RW+jL07j2GAo+rGDz3yItU3IVFTZ91kx7dPdu+55C64ULvrtmbU2tTZs+y6qwAUo7rBKz8I/Fm3gPq2dwoTQ0havkN+wnFuj6q05u6lSOtXQTSnV2k6ckISAEhMAgQsBHNo57rhDEOTA6wXVDWT89ma5W8EebwJbmq/buH961I0eP2sWPLtl9S5fZg7AmnD5jhlVWVoSxFuM1x9ICrBB9DPdK4AqCY7GPk6QDcWyNo7APwmUt3zh683fcuE6VEAJCQAgMPwQGdrTstaIw8trD7wvQEwkBITDcEAjDanL0E5UI+GOch5A13B5bzyME+gWBkmDaY+3hB8Wj73zMCBR+HijM+jq1IFwWofirrq61WVAW/rd//mcsfbtqZ8+ctcb6Jtu16xGbMXsmdItpy1dAYYgKchBYrT3rvglZn7fUIaeGhJJZS+hHWLqcxHFirPwW1lMefFwoT1BcCAgBITBIEeg6nrn1NsdYBir0ONrxkh8ULhbz1gwl4QcfXLSTp07an9/7k905/05bu24DJm0wOVNVHSZjUEc77udt3LE+5TM/UBJiwofpMEpE9Und7AQ/PPiZcQUhIASEgBDoUwQGeHzFPL2CEBACQmB4I0BGNzKxMU5dQowP76fX0wmB24AAlwZn0pahRUoibPpvjkyOL2FL0mFtmM5krBoWhPPmzrXHHn/cJk6dbIePHLHj8Jn1xcefwdk+lslh5+N8sdWXMlPxl8bHFY5eHw8IFI75o6YQyzOvGZgdP56ggxAQAkJg+CDA4c19ETJCk20EKgyDms8v/cBlyG1YcvzRh5fsxInj9oc//MFmz5ptmzZutnnz51pVbQ0sCaEUTPY35k206O44o04fyJPlzCELhdiwghAQAkJACPz/7L33lxXHlu+5jyvvMIW3AnkBwghvhZW7trvv6/fWm7XmP5qZ32bNWm91v34z3ffq3r7yGAFVgBASVqArCelKQgZhhPC2qo6Z73dH5qlTRRWmHGW+CedkZmRkROSnMvbJ+OaOiOFEoMcehdHj93BioWsRAREY5gRcQ8A1ttuv8Bjdvj/MAejyRGAACMT1yT1bIAJy8e5pfgANSjZgISKy0QrnFAyoX8BMx2msK2ze8/Ps9zd/b//6r/9m29/fYfU1NbZp82arGTPKuzKnMYsJxyqEW4trfzmkzDEMwz/PKORGkZBZMe5DtmG9mDhNiwiIgAgMdgLBvAWrxZcnweThmy9oaAdDgI9L2NbSamfPnLXm5mb76KOPrXFso61dt9bmzZmLiaQaLJEOY8KGyaLCpCVuSuHV7d6FyIzHUvlgXClJ8r0MF9rgni4sohYREAEREIF7E+i5lb13ut0dlUdhd2Th3n3NAABAAElEQVQULgIiMPwIwMLqgXT4/Vl1RYOUADwHMbige6S0S3mohAyHuOd1EYPlc7ITjpqVTqetrr7eli1dZi+//BIcY3L27vZt9uHHH9u1y1fQ9a0AMbHNsoidxzHO2GlYFzBJChvEwWMRa7ZsmTrDfJt8BvrxapD+TVQsERCBYUYg2Dq6W5eYPp9ohPYvj+EaOGN8y+079tPZM7YXQzvs/3C/dzFevmKFzZv7vNWPHuUz0WfK0uhmnMEYD/AjSSdhlWGrYTqpC3LtYmBsSvnCh7bclUI/6HEeFq7/DjzsSYovAiIgAiLQ7wR67FHY7yVTBiIgAiIgAiIgAkOaQB5NywKEwJT7A2IbjUoOhA+lEI1MrKDuJSAW5hJZFw+TyYyNGT3GNq/faG0tWXv9nTfsT2/82eqra+x5eBsma2vQGM26aJhKptGWTfo4iAW4uRSwTS9GNJfZpo0WdlGOGrFxkNYiIAIiMEwI+MsQfymCFyewfBT3CnCl5ozE4ZhZW2ur/XLxFzt66JDt2duMlyx5W7VylS1cuNBGjR1jZZi8JE2BkPaZXNA65EzztNNuw2FCaVVpsn1xA+uyIV/JuEAowS+g0bcIiIAIDBcCEgqHy19S1yECIiACIiACg4WAC3befvQSFaAKhjGzQgHp+ZKHgMeGJ9ucGM0QE5SwCzKEvlzSpkydahs3b7QL1y5Z0+4me2/7e1ZdVWXPzJvjJ9ALMQVR0b0TkVYsDsZrpsmJVLz7c0/6H4di6lsEREAEBjcB2j+MS8h5nijz+ZiCDKNQiH2KgteuX7PP/vaZ7W7aY9euXrfly5basmXLbOLESVZRVoF5SfgyJ5hTjnVIe017HDwIXRV0W41kw4IgvpLhfx4thsfHtRYBERABERjyBCQUDvk/oS5ABERABERABAYZgdC2DGMEohnp3YJRRJcGoRKyAcpGrGEMQ4qGlstaCi1cNHMtyW5vmaRNnTbN/uG131jbjVt29JNjlqmqsPLqCps1a7aVQzREzzimjESZWkiRXZix6fkyB3rUFNxrEfHi1mxUtq6IufNhHK+rCAoTAREQgUFCgPaN5oy2DmYwLBQNYchcJMzm7fqN63by5JeYvGSX/XT6NDyz59tKeBPyZUxVZaXPaEy76acXMPYrDTJerrC7Me0hDWcqMp++H+Xj719oK2l/GdcNeSiCvkVABERABIY+gV4IhXqSHvp/fl2BCIwUAnzKDTaLj8+++D63489IYaHrFIEBIBBVM88ptDajTMOBQj4PjRAioXePg2CI+ujdhjHuoDc60fAsryiz2bNm2WuvvmaXr1+1fXv3WnV5hf3+d7+3xzFDMiO6EIg6nPB+zPCKYYMVaYYlNKK9jsdBPMBtNnY9jBvRgk1v/IYDcajWIiACItBvBILNCXYoNpUhrD1LD3d7FexkbMAYFMwZxDp4AMKs+uJdjyEStty+Yae++QaehE32zddf29NPP2Uvrl1rs2Y/brW1tZhxPg1BEDIhEqG1dI9Epon92ER6yZgJllDKsN1uJv3kKFArERABERCB/iXQwRL3a1Y9Fgr9jVO/Fk2Ji4AIiEDfEHBNkE/e7JvjHWyip2n4LyXw9l32rG84KxURaCfQ8UHGqx8O0gOweIQVkx+Ig3m0cNOYCTnNyU8QxPhJjF1YXVNtTz/ztL366it2+epV27vvAxs7rtEbuew2R+/DAl1f0kFs5GzIzIVNWgqOXMKKYWHxo+27cXA4rbjXVYTiQW2IgAiIQN8R6GxuOu+7FUMgw91ARllzm1YVaw61kM+3weBxHNiUZbOtdvr7H2xfc5Od+NtxmzINwzls3GTPzX3OamrrLAXb6ePF4rwEDS4NJT6eJL29YVeTHh4sqH8zu85LFBZidT6ofREQAREQgb4jAEs7gMa2x0Jh312wUhIBERCBfibAh11Y1jAiGrbj1/b+VEyLey+r29WTcT+XV8mLwLAnENVJtkoxCUkKroChhqLrG649hy/GoLBYU19rC+YtsDu3b9vrr79uu3c2WV1Nna3fsN7GjBnrImOyUIZkcAbSoUchZ+Nker4wj1g1DAH4RhflTgvzi5d7WYQ4jtYiIAIi0CcEIvvkdsftVbB/cdrBHrE/BP5hhx6D2HQb517VsHnZfNZtIQ/lMTv8uZ/O2B7MbvzRoYM2uq7W1q5ebc89N8fqGkbDkxAvVJCOdzjGJq0hhn3FUmoFmQcCo+enuCxai4AIiIAIjAwCdz8pj4zr1lWKgAiMIAJBIAzmLnRRDA/Y/qQciwnd8vCn526P6oAIiMDDEWBTNO4qTJEwSISYzAQNZG+motGcCq1Wa0Xjl+MYjh41ylYuXWGbN2yym+hO9+abb9rhQ4ft8uVLlkcXuwIaxhxHiw3b4F0DjxhW3WILuL0eB3vwcGVWbBEQARHoDwJutminaKKCAfQdnyGedrDkJYcPz4B9HmM4Twmn8cQwY3EeHtrXfrlghw5/bM0HDsDJOmmrly23hfPmWV19A0RCZAY3EZ9cCkM2pGCDOTlUUAqDNS5+IyrT1yICIiACIjDyCPTYo9B/pEYeL12xCIjAUCSAZ2g+V7PToz+H4xo6OBXe61FYT8lD8S+uMj9CAl5lihUMBYnqUGlV8tmIY08/NkbZc5hlRhdknyEZCh8lxFyugO7IBSsvL7fRo8fYmpVr7PKli7Z1+w578603rQ7jbM2dM9cqKirRIIY3Yjbr7V2mRcGwKEh65nEJsI4NAfPE4rvxYezRVmgRAREQgQEhAANEG+RDrUYZupDHbfcejAwWzBItU7QHW+lnuQc1XrVgTqiEXbt2zQ4dO2bNe/ZZrrXFVmB248VLltrosY0QCXkuXsS4pyAMb5RQ0d652YvT5E7ILc6PxdEiAiIgAiLwaAiwLTuQS4+FwvDjMZBFVV4iIAIi0FMC7Y+5vlW0tPGb+fulO8CW+X7F0XERGMQEvJl5vyqDSB4P11HAbMdsIOchCnLDG63oSufHEZbCuIVsNKfTaZsyeaKtf3GD3Wi5Y3v37rG334BYWFVjs598HMdTcD70ZrB7J3obmpy6KktXYUWm9zxYjKUNERABEehLAhxu1a0PTSFfpGChppfnsApYgg9hGGmZ4f4+hof4ogUvWdrgbf3551/Yu5jh+NyF87Zi0SJbs2KljZs81ZKYCIqOg2z4JTC7sZ+f5DzzTAiB+Lg4CQ9D786MoLDguBYREAEREIFBQGBg7XEvhMJBwEpFEAEREIGHITCw9vVhSqa4IjAsCYTmbemlhUroMqB7FEIh5KRC+GYjNYVucd51GCfm0IUOrV9MP5TCmIVYQyjMw7Nw5swZtuXFTXbl4kU7dPSwNYwZbb+vqrCZM2bg/HLL4Rz2OcbQ/mgQM31vAWMdLbEnY7yvtQiIgAg8QgK0f7Gt5Nr7PkQBPAbjGMQ7eklH+/GaNrKAidrutLTY16dOWfPeZvvhu1P23DPP2UqIhNOmTrdMRYZJ4IOXMn4iLDDSoilkzsW0uMuFx8IW4vvRaE8rERABERCBkUJAQuFI+UvrOkVABDoQ0MNvBxzaEYE+JRA3MrtPlI1PxMKKjVVOPkJJz11e4E2ITnQ+4H4mjUlKeIQCoieWwuQmDfb4YzPt5Y0v2eXr123v/n02FmMY1r36mo0ZPw5ppHwGZRcccRa7MHe33L+c3Z2pcBEQARHoPYG7rBMNon9C2r4JE+jvP2AX83AFTNOmufLHqHlrudNqP/7wgzVjVnh6FD4+a7atX7fWZj/+lNXW1VkBXtmcRT6dziBR5hjEQdrIYB7bS+ECImPgmJ6Twt9A3yIgAiIwEgn4c/lIvHBdswiIwMgm4A/IIxuBrl4EHiEBNlDROPXGKIqB7UQ0cD+7ISfxlYLgV1ZWjr5yKW/kBo/DDDwLU1Y3erQ9O2eOvbblZautqrUdTbusGYLhJQzijz7MPgMoG9YFeiVG+bjSGDeM/WDcIMca4qQ3zh8hEWUtAiIw8gjA8vhCqQ49gf1DM8VOwXl+01ZxKIZc1rIYg7WQbbPWXKu1trViTMI2y7a02dlzZ6ypqdkOYPKShtGjbB1mOJ6DsVvr4G2dypTBhIaXJ1QFKRGy27HbU76goZch1qWioJeFNpm2U4sIiIAIiMCIJCChcET+2XXRIiACIiACIvAoCLBZHDeNwxYbqb5QIeRCkZAzc3Lg/TJ4EjIYnyQau0nExTzIls8krR6N4KULX7AtmzbZHTSi33jvHTt8+JDduH4Djeq8ZRHmLwQoAnJB65szK+cxllfQBRHOFjk/WkRABETgURHwlxnIPDJFlOfcs4/7+CSyeOHBlx6Y4Z2zGrsNwwuRHMTCX3752Q59fND2fbjfxzVcvngJRMI5NgqTPyUwVIOlk5bGmIRJqIMclCFKEltcuhEDWR6JhAGRvkVABERghBKInspH6NXrskVABERABERABPqJQNwk5brrpVt/FTRS0VkOJ8H7hUIiRcS48UoPGHzKq6ps1LhGW7V2ja1dudounD1v723bbp998ZndudOC+MgXImChQMEQTWTs+wQBrhLmQkOcOZS0iXlKt2Xq+hIUKgIiIAK9IxC/rIiMD+0Qh0zgJ9br+JIE87ojH3YJxgovPK5duWInThy3pj3N1nLrFmY4XmqLFi6ysY3jLV2eRnyO08qiYYs2FF2XeX6YGyWkxaNaREAEREAERKAzgV6MUei/PJ3T074IiIAIDDoCtFbxDIJx4fxtvb9bj0PutZa9uxcdHROBrgl0VW+iljBP6HA43onX7CIXD6hPTxh2mAvnsrFcwHhb7KqcqamxSdOm2pYNG+zqL5ftw0MHIBZuw1iFE20GwlNlmN0TMycnUhQKfWQvpITU3Msw513uKEJ6Tsg65Ih8SorZ9bUpVAREQAT6gIDbHZqcyOi4ChjbO/oAYqF3dTSKAowU9L683b55y05+cdLe37HDzpw5a4sWLbTlS5fZpMmTLIPJnTBVMgRB2jhMAkUPbZxIS0rL6m7azM6zZIJaREAEREAEhgaBgXtA7blQGL/9GhpEVUoREIERSwAGlfaKD9+x3Sp9Lg59EB+ATulJDxBdUURghBPgOFhcgkcL6w8DOtajOJTxOh8LUXEOqy6+3MvGu88l0dwNqbFaV5RX2vQZj9lLL23G5CZX7cjRozZubKO99PJLNm3GTKuuqPSqX8hn0WiGwMiTkXGHvLlPr0Pmg28tIiACIjAwBGjgopcibnxombAgjDaPR9xW4cWIP8q0mt1uuWOnvv3GdmJs1pNffGlPPf2UreIMx7B35ZVVkccglEV0OS74i5Aws3yYMgqZuBGMLJ0b6ijPkLO+RUAEREAEBiUB2u+BK1iPhcIBLOPA0VBOIiACw5BA/NCNS8Nm0AvDQ7M/dSPw/vZMD9HD8MbQJfUTgbi2dK5X7snSbW2Lz4oKxRYx/jMNr6FRQ5oyXoqVGB4y3C5gnC5uVVdX2xNPPmUbN22wa9ev2bbtO6wM43O98uqrNn7CBCvHbJ/obIyB++FhwzPgYMNGs8uCnjVEQjbMkZ8G8O+nG0PJioAIdEGABihYR3pO8z+nOE7gJSZtET+xR3UOYW0YSuHyhQu2/4N9dvToEZsydYpteHGdPfPsM1bT0IAhCeFpjQ9GJURCaUx4grPTSBRe2Nz39F0oZD744KuzrWaoFhEQAREQgZFNgL8iWkRABERgeBPw1r8/fQflAfvtD8ZReHg6B4eu9oc3Hl2dCPQlgWLdiqtSh8QZ2HnpKizEYVocTyseOoDOL/yk0OhNQe3jOgkvwVS6zBvJC55fZJs2brKyTMb2NDfb4UOH7NrlK9bS2oKB/zlrKBrN7I7HNJk4P/RPLBUJgwskD2gRAREQgX4lQOtXgLCHtxjFlxTuRQg7xJcbLh7CRIUJTPJ28eIl2//xh/h8ZA31DXg5stEWLFhgYzF5SVVFub8USaUgCKbxgTaY4Kzx/o+XgYTCAIXMNfowXIsIiIAIiIAIdCTQY4/C8ITdMTHtiYAIiMCgJEDvJCwuDGBNPyL/H72tLx7wWPoSARHoHQF6qIQ6F9Lp4p2kd3fDURflXK27K0ufo5Ouf0gtdJljg5r1mN2H0eD1I/hKISbbv2gQjxk92pYtWWpXr16xbVu32XZ8autqbOH8BVZTU4u2OMYjzIf6HzeUvVFOoTC4GSKDLsrruelLBERABHpCILaHXds6WjM+n/izCYS8HMYXxPzGbkf5+EKLlG1rsyuYvOQQZnbf9v5Oa8H+urXrbCEmLxnV2GhpvByhrYQhDAVkVp4m1rR52MlTOKS3oqfIMJYLa25qEQEREAERGNwEBthW91wo1K/K4L6RVDoREIEigeA5ROkiemNPQxsb23CwGFcbIiACfUGAFSxqhBYrW0m6cf3r6lgczbvKcQfpRF5+XDHVXI6zdyIY9TcJ0ZFhFAvTGI9wwsSJtmbVGrt06bLtxmygb7/zntVV19pTTz1pVTV1OCdvrTi/PFmO8+Cvg0Y0xy6kUSggPf57kIV5drc8WArdna1wERCBoUWgtMZ3tgzcLz2Obe4WowWL4xOswf7QjuVdzMMrDMThS5G2bCtmNb5jX3/9tb2/8307e/6cbVq/wVYsX2ETxmOGYwytgIEVgu1C2p40vgowmMwqwZnj+TLEFcmILA8Uy+U70QGtREAEREAEBieBgbXVPRYKi79vg5OiSiUCIiACJQSixj/tKx+e/eGY7+iDeCh7VoJKmyLQawLxg0y87l2CnVNhN2Q2gDn3CL1j3DmRDWxU5CS8C1Nl5TZ5yhRb/+J6+xli4fFjx2xi4xhrqKuzydPKrKysDMN1JS0LsTCJBjQ9CemlmGO3PKSddLEwlPl+tiF2jCy9wljMLA3TtgiIwPAlAJPhol64wthihSeNIMbFliS81AhKXhwvxCgdG5XdjDlRMZ9c+FKk7VaL/fD997Zr10778YfT8CJ8wVatWQM7Nw2ehOWIGL/owGaUbJxjKBNsG7s2F/8EPNpxr3hIGyIgAiIgAoOSQLvVHpjisaWsRQREQASGNwG+lvclekjHNt/eaxEBERiCBPCklGT3Y6w5fhdnK+bDUxpjcnnXYuyVVVXZ45jc5FebN9kTjz1mBw4dsaa9e+3S5QuWz7VaGq3wVAppFMcFQxowCT7RSdSAfhAL4efwvJLPECSqIouACPSCwN2PE52sByPgw+eODg09RvND0XG6E/qrTMSi0zRmas9n2+zMubO2A56ER/HSY/asWe5NOHM6ZjiuqIj8CEOqLhLiK3o16msXJTtkGu8wcy0iIAIiIAIi0DWBHnsUdp2cQkVABERABERABESgPwmgGYxxvCD1oSEcPIPpFQjdzz0EveWdyFglPAcXPf+83b512/7X63+2rRjXq6Gh1jase9EqK2qoMloWrWjOhMzmu3sWsr3OlnXclu7Py1DaIiACw5BAuwDHLZoSejtz4atKFxWL9sVD/GUHvZvDC0xYI48Pu9SWs8uXLtreAx/a7r37rKGmBsMqrLRnnnraRmEikyRejhSC62HwJAxKoWfKLLq1ZZ5/sRBeNn2JgAiIgAiIQCkBeRSW0tC2CIiACIiACIjAICTQsVFLjxnvZgx1MAmvQC4+XiEa25zxM41wrkeNbbT5CxbautWrLIuZj7fu3GnHP/3Mrl67jBmQ27xBnoUXTy70Y+7gnTMIIahIIiACg5pAu0gYikmpLvwLsh2P4+MrrikK8qUHnQfzeGmBMHY7ZoRcwW7cvGYn/vap7YFIyOEWVq5YYc/Pfd7qa+tg/+BBDZGQs74HfTC8NCnioWdh9PEINJP+iTfimMF+xntai4AIiIAIiAAJSCjUfSACIjCiCHR+RB5RF6+LFYEhTaCkQRt7zoSWL64KYxPSpZBbiOaDDHA2ZIzf1TB2tK1esQyeOKvsp9NnIRa+b6dOnbLWllveKPeZRtFYz+U4RmHo+ucJ6UsEREAEHoiAK39dxgzPHBDtEMU9BTmwadGU8bxgswqFLMZNzUL4gxmCLbpz66Z9cfJLTMb0jl2+fNHWr11rK1eusEbM7M5xVjmWqls6CIudOjR7muErxAkZxtslh7UpAiIgAiIgAt0Q6HHX4+JvXDcJK1gEREAEBguB8Cje/mzOfdowvufXo/Ng+SupHCLQTiCus+0h8VbJ04f34WMd7mLsUUQroEHOI5myCpswebKte3EdPAmv2+HDh+2Nqmr7wx/+YNOnTbMMxvlKp8q8eyAb6ulUJs7snuuSktwzng6KgAgMdwIdLVbHvejZgwpglwvmXscLCp9ECUMoFGCDsniJ8d2339qbb79jn3/5pS17YRFedqyAveK4hFUhFaiOTJEyIZ9mfNU5fRcTSwM7xfPjwYaWxtK2CIiACIiACHT3qyUyIiACIjBsCHiDPnqW7nJ72FypLkQEhgeB+4lwHMsr70IhYqKx6537ooHAONYgRUJ/FYBuycl00qpqa23mzMdsI8TCaVOm2ocfHbKdu3fbufNn0eUPswZkYSDQ1Y+Tm3ByFC0iIAIi0FMC7fYLlgl2KgGRkK8tGO7HopccPiYhPAKTbnPo0YxZjmGPLlw4b7ubd9uxT07Y47Met43wJpwN+1VZXY0JjjGsQjqkxdmRmRQ9FaNHnOK6Q9kZCR9f4UActxjQIbJ2REAEREAERACTBPYYAn9ttIiACIjAECBAc5XAk7Q/JLvpclkhlJwP6LJnQ+CvqCKOJAKlTxil26UMOP4WazLrb2iYc5sxQpPchcRkDnUf43hh1K+amjp79ulnbBNmQv7311+3puY9Nnn8BKvHpAC11YhRBk9CtwVIDWuezwkGuB039pm6N+65gSXkG7b1LQIiMPIIxPYgdt6LTJCD4DZthNsP2CEOb5DCy4jYbtCCecdhjjPIGY5bb9u1S5etaf+HtmvfXpvQONp+/crL9txzC6wa9gtJeII5WDSmQu9DDFSIVJhinCo2sXg5/It7HY8xhEt8mOMkahEBERABERgCBOIfmwEoao+FQv2kDMBfR1mIgAj0MYGOlovPxgzpGNrHWSo5ERCBHhGIm7Zx/YzXnROL48XrEC/s+The9OZJl1kZuhSnxzXa8mVL7dqt6/bX1/9q295/38aNm2Bz5j1rFckqeOqUo/HNWZDNxzzMcRuGguMfuiCAbQqU91q6K+e9ztExERCBIUygs0mAEXCn5uiSglCIHcaDDaE4iInbfZsehPl8znJtLXbr6lU7ePiQvfnuexivsOAe0IvmzsNs7WMskcHETak8Hagtn8Bsx/CC5oQmsT3qid2Ji92Tc6NL00oEREAERGCACMQ2e4CywyspLSIgAiIw3AnElpXrYiMfO3H4cL9+XZ8IDDkCPW26euvbG+k+42cenoIQCjPofpwsS2F8L4xXOGmSrV+52lauWo5JTX6wv7zxVzuJccBa7rTAPETeg7ATbNxTKPQF2764/YAvD9ahge5GBYc6r0N0fYuACAwDAsX63sW1uE3oIpxBrhZGDxrwGPTplhgfXYbZbTgHgbBQaLNCW9Zu37xtX3z1lb29batdOH/eli5eYksWL7Pq2gZ4DXIMQyaHFxb4cKGzs894zI0eLj21sj3MTqeJgAiIgAgMIQLyKBxCfywVVQREoOcE4kZ98cE4enancFgM63nyOlMERKCPCMRVE81ipNi+98DJ8xQ/DQ1qH26QHoLo1odGewKN7LKycpsyZbJt3rDRzpy/YAc+PmCjR9VbTW2dzXzsMauqrMb5Sctm21wM9O7HTJJiQedC3BWACCi2bEpnUNoXgaFLgNXc63Q3omCpGYjjehjj4yVDEjOwewI+0gm+MJ6qH0K6Cdil1tt37JcLF+ztHTvsxBef2/LFi23TuvU2unG8pSvg5Yx/+QI7HJfxDHzCFCbBImE/Kld4zsHhksU9oUv2O2/KVnUmon0REAERGLwE+AswUEuPhcKufowGqtDKRwREQAQeikDRGyicVfpgzG3Zs4eiqcgi0O8ESh+EuM0xuErDSgsQwuNa3R4vnMeGePzBRqrNx/Qqr6yx2U88Ya9u3mBXL120jz/5xKbOmGmjGhosAQeedEUlPBEhNCIRphNEwmjHs4rzKy1JtO3ReJYWERCB4Uqgw3NDJ3PA2l8MgohXgPcg48NHGV7KWbdJSboIYszCO3cgEv58zra/v8MOHzliszF5yUtbXrInHn/cyqoq3V4VUkgNnoPuOxgNVFiAl6FnEpmaDuUpgd5deEkUbYqACIiACAwBAgNtz3vurz4EYKqIIiACItAVgdjQUlKIt7uKpzAREIGBJ9AXEhvFQV/YlThsoLZzXDDuwTsHImBZebnNe+4Ze+XVVyxdVmZbt6OhfvCwtbSgCzImOUqwcY/o7CJYLBPP909IPqQW2uvxdjiibxEQgeFIgM8M/NBTz731StZdXW/RdkSqHuZhb/cwRCvs9q0bduCjj+y9d7daVVW1bd602Z568mmrxHYGNop9jgvILyzxOuzlYaDct7BjcFfFUJgIiIAIiIAIPBQBCYUPhUuRRUAEREAEREAEBjcBtppDy5ljDnKTDe2ED/KFxx6IgIUcxgXDvxpMEvDCwkW2dtly+/nsT/bWe2/ZZydP2s1bt60tmhE9B6HQZ1COBEKe5/98n/KgFhEQgZFAIH6xWCoQ0j4E0RAEItHQj5cAScAbMIfuxnnOUowuxJy8JIsxC1vv3LK/f/Otvbvrfbty/ZptWfeiLV+02EaNweQlnIUdXZZTmTS0QsyKzLEJadaQRzBrfPWhRQREQAREQAT6h0DPux73T3mUqgiIgAj0KYHuHqTjB/4HzSzIDg8aW/FEQAT6ksBD1z9UfIp5PM8Fwjy3wiQAbKhz9tCy8jLLZcqtcXzK1ixfbufPnbGPDh6xbTu2owvyaJs5YzpO4WMSRjhEeqk0G+xMEF9R+txOUDDkGoe4YO++Sxz3vhEVQQREoF8JPEh9ZQGKdTZ6QeCrqLa7MMgIcWKRjWAAg8LMxlmYHoqKmMQE459yQpNvT31jb7z9lp356Sfb8tIWWw+hcNyYRktnMBZhMDYYAgFR4QHtnh3FsQ4xkzvUwiQVQ1/a7U8UoJUIiIAIiIAI9IpAj4XCXuWqk0VABERggAiUPruXZtn5jX/psdLtYuOgNFDbIiAC/UzgYWtep/hoQIe6j+9IyGOL3T0MMXlAoRDG+0piNuREZZnNnDnDtqDL380bN+zgRwfQWB9jv/3Nb60RgmGqssISbKCjkx8nREmybc5JUthyZz4+Zhi2fWG+9/b06VTS+EStRUAEHgGBuD7GkltXRYjjuC1BhPCiEWeE/wzx7eDBzNjxh5OQwCZgPMGWO22W5gsFfnIFO49xCf/zP9+wjw58ZIteWGSbN26yyVOmorsxX0ggDmxTECOZH7ZZMHx5WVw1pKXRIgIiIAIiIAL9Q0BCYf9wVaoiIAIiIAIiIAKPiIA3qqO86dwTmtc+mpc3uPNoqPNfBhGT8N5JNtTZs08/Y1fXX7GLFy/adnoV1tVDPNxo9egCmEzRG5ENc5xF70S24H3mUjbggzioVnsEXCsRGAEEaFYo+rmtgfef2xlX9hjiodEaU5hk85aBHclCLCygy/GdW7ds7959trupySaMn2gb12/yGdfZzbgA70H2MsZ4CVH6tDCRQIiNOGWJhICiRQREQAREoN8I+DupfktdCYuACIiACIiACIjAIyMQN6tRAHjlsGGfhDchxwxjQ5vePpysJI3Gef2YBps/f4GtWLnC2lru2K7dO+3YiRN27doVa7vTYknESzINPjm5bhg8eiL5MLTgS7J7ZJesjEVABPqfQHgDEeXDFwj8cBeWhTaCsxL7JgW/yIOZsx633rFDR4/au9vetxpMWPLS5k02d86zVl9fZ5lMxtLwJGQCeY5pCJtDwVCLCIiACIiACAw0gZ57FPKtmRYREAERGOQEaKncXMU2K1r74ON4N+/r+Ng9rkWP6veAo0MiMIgIsM4HTx9soW7HTyteh9m4R9/hRI66XoKdiS0Pb58EPAZT+IwdO9bWrV5rly9ctOZ9e61p7x4bN3GCPTGjwgrwCOKMpfT2KaABH2yCu/741TOnYEriHO+GwnO8fHcfUogIiMAjIBDX1njduQjtdRZbodJ3jhIJesGzOIGXDj42QZwgX07gn9d7TGLy1Td/tz/++XU7c/6s/Zff/97WrVlto+pHwWbRNhSsNZuzDMTCJAYnLPgwCSEh/47TLJbAU0Wx7jpQjKENERABERCBYUSgw0uq/r2unguF/VsupS4CIiACfU6AoiAFBH9Lj9QfVCTs84IoQREQgX4lwAkDuJQKd96kxhc9AIvjCmJikxQmLGEDnbOKlldW2tTp02zL5s128epVO3j0sI0ZNcrqf/VrmzptBhrvGff0KfgkAhANI+GAE5pwZmWfXTnk7N/6EgERGC4EYDxoRDovNDLu+OevEXCUsxv7t8ek73IK9ug2ZlL/4aez9ta779rJLz63lStX2rq1a7zrcaaiAnYF0fESgw6EcCbEJr7ovsw1/ne9BAPEw5Ep6jqaQkVABERABETgIQlIKHxIYIouAiIgAiIgAiIweAmwweztav/CuIRsdUcLeh0HoRD7aXrsePMaY4ihkU6vHL5IqESjffZjs2z9i+vsLCYcaN7TZGMbGmzLlhobM7YRkwykMI4YGvLJ8AhFIQB7SIASJBfk156lh+hLBERg+BGghsclxRmKsU2tL7yIhFKI/9x3va+t1a5fvYzhDHbbnn377OlnnrJfvfwyXj5Mt/KKSngpJ312Y45pwOEQmB7NFl940NM5frnJvOIlNjHB5sShWouACIiACIhA3xDAk60WERABERjeBGKvH79KNuZLPwjkg3Z3n+FNRlcnAsOTgNdneP1RxPNxBWMjgNZ3AaogG+Pu/YexCtk4p2jICUs4dmE6U24VNZX2/JznbPP6dR5/Z3OzfXL8E7t19Yrl2togLCYwQUEOqUMN8CU014OnYZAfu7IpUWStREAEBhmBruprqNVxQbEX25E4qLgOMQsY0yCbhX3Iwr7gHz2Nc62tdhV24/jfTti7W7daRXml/fa1X9nc5561quoqvHTAuXzPgBcPPt0SzqF98pmPmR+2mXp3HxaBx7SIgAiIgAiIQF8S6LlHYbc/ln1ZPKUlAiIgAr0jwAfouMsxUyp9oKb/j3dBvIc9K43fu5LobBEQgYElgNrLBjga2u7ag/qeZ5dkCoio82zI0zWQYw7mOZMx97G0oqHPLsbjGhtt5dJl9vP5C9a070Nram6y8WNG2awnnrZ0Im3JNM7hKWzox4snQbsSB2gtAiIwmAnEVTXU/q5LGsfxo6zcsCkhfnSWV3gIfNngUcjdJAxLIZez1pbbdvLrv9u//tv/slu3rts//+GfbcGCBVZdXROSS9FepCyHYRCYKL0L4wcV2il6E/IFRndLh7J1F0nhIiACIiACQ5+A/9YM3GX0XCgcuDIqJxEQARHoHYHIsNKTkC342KPQE9VTdu/Y6mwRGMwE6EHItjzqfdInMUmiQQ6/HQQmOfOx1396HQbNjzON+sJwHJw4YZK9uO5Fu3Tlun3yyVGrq6m139XU25QpUy1dXQmdEROcxDaEjXzsuDAZpeupRknGjX+mHwd5XiVfcVIlQdoUAREYLARYcVnhWVFpW7jLssGmsJuxFbKY7Lhg0AvZidhnOD5z+rT95a237G9fnbTXtmy2VUuW2NgxGMKgrAICYLA9PNvtCG1S9I8Je/r3EAmZpRYREAEREAER6A8C3b+i6o/clKYIiIAIPAoCrhSEjCkQaBEBERgJBEq9fqImfdTGD617tsSj1ri3yrGNdQpdADmHADVDzoY8c8ZM27R+jY0fN972ffSR7f9wv127cgHeQzl4DLGbILsywxsInoqc48RtTKmd8WT5df9F1un+jBRDBAaeQFx/vYJ3yJ5VHZYAzsvhpQRnOM5AAMxmW+3KlSu2dcd2+/jjgzb/+fn20qbNNn3aVNgLegrC6zANfw3YGFcJ6d1MO4T/YQiDOM8O2WlHBERABERABAaEgITCAcGsTERABAYbAQmGg+0vovKIQP8RKDa52Q6H6w4b88Uwz7ZdosOoYnQQwliFZZYpr7KG+gabh/HE1q9fb2VVVfbhgf322aef2q3rVzG7KcUBxMfYZHlMdZrFpAUFKACuE/KLybYn3XG7/y5XKYuACPQ1gXvU4wQMRivqfpJDElD4a22xa5cu2Z4PD9i23U3wTG603732qj351LNWVlNn5eXllslgTEKcx5FOOQRKEuIiX1C4VoiN0uz6+lKUngiIgAiIgAjcj4CEwvsR0nEREAEREAEREIEhSIANcCqDLHpogdNjx7sHs69x3Cr3KwvhDE6hO3EZJhzIQChMZdCATyetvmGMrVm9ytatWWXnf/7Ztu/YaV99+ZW13Lrh45Bl4X6Yw3hk8BOCGNixic+XEkE87Bg+BIGqyCIwQgmg7rod8S8woLdye33mlpsT1P98LmutrW14mfA3+9Nf/my3bt+yLRs32RJ0Oa4fPRqzpmfwEgJey0iKnoXspOw7bqvwAkMi4Qi9x3TZIiACIjC4CGiMwsH191BpREAEREAEREAEek0ADXD8d82Os5Vw4T6+2B73nZIVN73dj0Z6gl2IGQfePikIjN6pEBMMjB3baGuXL7ZzGHPs6LG/We32HdZQW2XTn3jCEvA85PQoSZxDMdIb/0wCBQgzmYYcXbhEuBYREIGhQ4D12Ou12w43DZHXMOq1jzeANboOp+BZ3JZtsR9Pn7X3djTZt998Y6+++pKtWrHKRjc0WhpdjdlNmQIhZ2OnF2GwO7QepUuUUWmQtkVABERABERgAAlIKBxA2MpKBERgcBEo9QgYXCVTaURABHpDwBvdJS3vzvvtaZdE8qZ6tO+ePhQBkpancJhOWVk+YzOnT7cX1621s+cv2tHjR23qpHFWXltn4yZPsQy6HLIrYSJFUYHt/8jriIMdetrwalT7vx29tkRgyBFor9mx5zBDEknUfQw50NrWZhd+uWDb3t9ux098YiuWLYY34UabPHmyj3dKS8BZjTmkaRY2gWJhsDiR3emWR8i328M6IAIiIAIiIAJ9TEBdj/sYqJITAREQAREQAREYvASCbMdvzlMa9tjo9y7CcbHpJQRVjz6FXCcwm2kqlbbq6lE2b+5c27xxjZWVZWznvr2YDfmY3b58xfIYoyxPD6F4ltIoaU8SLor8F0mHcS5ai4AIDAkCFOq4oFK7m3K8yUqOBeOTUvK7ebvFmj/80N7b/p6NHl1nv3n1N/bU489YRUUFhjCI6j8nQOI58HSO3yGEVEoNBiPES5x3vI7DtRYBERABERCB/iPQc4/C6Lex/4qmlEVABESg7wnwUZuCQLyUbsdhd63bo991SAEiIAKDkUBJpQ19jYMmGLe1KQziX2l3wnAV3lEYNgKNerbiIfql8EmiW2E+CQ+gVMZGNYy2ZS8stp8xVuH7u5tt964mG1s/yuYsmGflyRpMbAIZAHHdtiCJuKtzAiIi8+R/ZBwt3Am77VsICDt+rMuv4vldHL3fuV2coiARGNEE7lWfCCY+3qFucSfU8yS8Ce+03LHjnxy3t956C7YjZ+s3vGjPPfscXi7UIVYCXY7zlsa/ePIStz+wMUm+WOiQbkl+zJvPK7EN435XS+fzu4qjMBEQAREQgaFPIP49GoAr6blQeNev2gCUVlmIgAiIQE8I+PM8vvgaP+79F4mFCa6j7a6S5qkDaJO7KoLCREAEekOgtH6zQmNhnQ4dhH2DQWGJuhzzKP8l0eB3m4GuhUk06vPpgqUTGZuIrsZr16yzM+fP24mjn1jzB3tt1LhGmzpjuqXQTTmZjdP3VCwHD0WKBB3a++61iLJEZYoK4OXqyuYULyMUPi5xl+uuzu8yogJFYIQT8OqHL6758TqKDY4nyn0uFP3jcDoNhyqIiUtYKTHcQBu6HJ869Y1t3/qu/QKb8OKLL9rSpcusur4W9gMvH+CNnMI/Rg82IFgfmpuCj2vKXEpqbbGyMxxL5/0QGg7hu+TMkiPaFAEREAERGH4EBs7i90IoHLhCDr8/sK5IBERgIAn4YOOeYXhKp/UKHQHjtezZQP49lJcI9DeBB6nRHeNQEkAI/3ujPHQU9nKyNY/WfSKVt2QO3ZHhLVhZUWWzZ822DS+ut0s/X7Rjx4/bVIxfWFdfb+WYLTlRnnYRIZeFHxE8DDl+WQHnl6VxLOqCmOggSgYi7WVq34pZBYEBmgED7j4cotHExSdoLQIicF8CkZ+vC3gU7aPqj3rGnVCb6FXss5qjElIcjOcgoedga1vWLvx81t599107evSIPT8PQxNswriEk6a43Sjg3BS6GcczsDPFkGp7TW3fum9xFUEEREAERGDEEhjYX4ueC4UDW84RezvowkVABPqAQNSyZkM7mK6S7/bAPshISYiACAxJAi4IUBhA6V2RgxhAV0IsQSuAB1AeYiGCYs+gqpoaW/j8Artw4Rd7G90NP9j3gY1tHGdL0C05PZqPVxQXkwZp0DAsGcY4hFiQDmlShowfo5g+P9AfQ/48Eh9kATotPMSoXS1e9K4OKEwERKAbAqyLLgt6teNePHpp7D3ICpdE5XKREMOW5nN5y7a2ok4n7OLVy9bcvMeHIBg3frxt2rjJZs6cZVVVlfA0xNimEAp9dmMmFtsUL0lkA7xCd1ejuymygkVABERABEYegXs8G/YHjPDE2h8pK00REAERGDQEYssarbnqFDRoiqqCiIAIDDyBEpsQN9kpCvJDWS7PCQjoauQvFiD4odFP4a9+9ChbuXylLV+23M6cO2c7drxvn5/8wq5fueYeSEwrm4dYgPNcaIBnIV2W3PwU84RgUMwUJ8S2iVlrEQERGBACpXWS1Z6f9qoYuh4H4ZChqLCIcOv2bfv8i89t27btDLH18DB++plnXSSkrciUlcNWlKTEUxHu3oXY9Azius99LSIgAiIgAiIwSAjw10uLCIiACAxvAu1P+7jOsBO9yx/e162rE4ERTIDt764+jgSN9c7HXAR0rx9vzUMYpAeR63ou8vE4zwkmJIndpKXTGZswaYKtWrPKnn32GTv55Unbv3e//XTujN3BDKiFbBs+6H4McZBjkSXhNugWiHohkoKTou+HbsghXy+fvkRABAaGQHuljmwCA1BP+WIAdZb1No8PFxf08dKggKFL27JZ+/HH07br/V3200+nbc3atbZs+XIbO7YRHsIcjxT2ATOjc3zDMGka6jeTjD5Mj9taREAEREAERGAwEuh51+PBeDUqkwiIgAiIgAiIwIgncK/2tx+7RwsdemBozNP7Dy37JBr8DOPLBXZQ9IkN6CVEsQ9KYjqTthkzZtmGDZvt0i+X7cgnR2zihPFWta7SJo6fiO7GKctBIEwhT06I7MogTqcsSOGgdOFuh3DfKY2hbREQgT4lwDrm9iCI+L4Z1bvwooDzFGOMQvyDJfAKmstl7RfMer5zxw775Ngxm4txCddCKJw4aZKVlXOwAdgKj8p19IKhWLmj0sd1P8qrT69JiYmACIiACIhALwngUVWLCIiACAxzAvEDuV9mh51hfuG6PBEQgfsRYDudXQHjD1XBMPEAuwtTJEQMzHoMd8D2ODjHhQCEFQpJqyivsDlzn7O1L67zA017muyLv/3Nbl2/geNQB3kuC4KxzShKwEfJ1+6hFJmkSKvAYQZEn5JNnq5FBESgfwiEakdPQk4+VMC4ovQczFoOMxrns63WdqfFWlpbLItxB69duWwH9x+wXbt2WsOoetuwfpNNnzHDKssrYTMw6zmGJUhxpuNk2jIcmxR2BF/BBsTFp0FwoxAHaC0CIiACIiACg4eAhMLB87dQSURABPqNQNQSL0k/NMZLArQpAiIwIgncbR2AAY16n3wEjX2KfLFe54MWstHPhUICPhQSM5mMja4fbS+8sASfhXb+7Flramq2r7/5GsJCG7wPITZghlR8IS2IhBAiCtzGh90a+aGgGD5hPEQKF4gV8tK3CIhA/xAoVjHWtqjuBXdh1Msc6ihmNm5FHeYxCIc3rl+1Tz/71Hbsft+y2F+xcpU9N+dZa6hvsCS8h5OY4CQJgZCCIf67/cBOKDvFQomD/fN3VKoiIAIiIAJ9SkBdj/sUpxITAREQAREQAREYagS6enEQ9INIRUDjvugPRAXPW/sIoacgvAR9woLyjE2ZMtk2vLjBLpw/b1989aU1H9hnDWNG2dQpU83QRdkySe+C7EJhJDLSW5G5xPoBuzP7Dp2Q4tD44FADq/KKwFAgwAqIDyR83+AYhGGCcs6AjDqeQgDqK0X/09/9iBmOMS7h6TO2avVKW7FsmY1rbPQhCFKY5TyB8Ql94fsEuB2HOhy6Hwc7o8ocAOlbBERABERgMBPouVDIH1UtIiACIjAECBTb9Sgrt8MS+epEDYQ4VGsREIFhQKAf2uI0Fewq7Gt+Iw+KetxPwWMoyX+VlTb78cftlVdesctXrtjBQwdt6oTJVl1RZaMax1gSYiF8jsKkCD6FKraRAovrtolpRmXHsIZBMMTKF+5jiY+HvY7ffkoUr+MR7YmACHRPIHgTUsB38R/yILsfc0nDQzCbS1pbrs0uXbxkO5vetyNHDtvsJ2bbKngTTp02zcrLKiAQRl2MeZJXaHxxHdVnBocF6XaoxKqwMRmtRUAEREAE7kPgrt+U+8TvxeGeC4X+aNyLnHWqCIiACAwkAbTCQzdBPKMj3+KjubfOi3sDWSLlJQIi0A8EvDbjq6e1uvMzWJwOw+Nttv69CzHsByQFS2L64gQEhRS6JVdXV2O8wnm26vSP9p9//avtaW62saNH2YLFi62ssgKJMBXER1wMb4hxC9l9me6DDIfY6DOeMEpcEoS7sND+cqO9HIhXssRljM8sOaRNERCBbgh4fUJ9QxX2ulbARo7jiaJu8z8FxFs3btqRY0esee9eq6mqtnWrVtvsWbOsAi8HCmE6ZAiKHLIAtoEiI9JKoIJ79+O7Kmx7ALdUXwFBiwiIgAiIwAMQGLhfDD6iahEBERCBkUXAG+q4ZH9Wb39gH1kQdLUiMLwJ8FGqJx9SKX0Mi7c7WArYEO670xE2uO3xKDZgvMK6+jpbumSpLXthsX0PwXAnJjf54fvvrQ2TIeQhDHIGVXRk9BOjXsyuH1JwCJ0VKRyWlqND7iyiFhEQgb4kQNEf44Tm8lnUUQwngLSxi7CCtWZb7Ntvv7am3btxLGdr1q61+QsW2ahRYzCiAGY5hhrojxWspjjJbUEnr0GGdffpy8tQWiIgAiIgAiLQFwR64VHYF9krDREQAREQAREQARHoOwLeSO+D5OJ0upLoPCzyGkKHQ5/AwL0CmS+6FKfKymzq5Km2EeMV/nj2jB37/DObduBDG1M/ysZPmmAFTnrQhnjJPCZCwaMYMuOkCezAzMlTuMT5t291VRKPqi8REIFeEOCERKGrMcckhNCHquYjAyDNVsx4fPr0T7YbIuH3p76zZcuX2erVa23i5Imou+XwQkRNRZWlqMhN1tu4pvpLgGK5GNpeq4vB2hABERABERCBQUigF0KhfuwG4d9TRRIBEeiSAB7Q+QDvZisMLd4ejYGyZ+08tCUCIlBKoGgdvHthdATuQxQX3Hqg2zBHGizaET+WtLKKMpuJ8Qo3b95sV/7yZztw4GMbP3qsLV210kY3jg0GKddqaYiGBc6uihTY9TGIDPRYDL6FniOTDwc8n44ChMcIX8HUlQRoUwRE4L4E3B2QsxUjJsYjpFchq3QO4v1ljEu4b99e+/hjjDc6ZYotX7rUpk+fbuXl5YjPCosPbEACoj+T4RAnrKr8LrDrsddbVuCulu7Cu4qrMBEQAREQgZFNYGB/M3ouFA5sOUf2PaGrFwER6BWBYK6ib1+FBrg3tvkVDvUqD50sAiIwfAnEJoJt/mBCoChgLMHg+0etgLIeFoqEvoJIgGlTK+uqbdHCBXbh3AV7+503bXvzbmvApCYv1CyymtpaH/4sx3Mi70RqDq4rxPkwTTdUcc6IWxKHh0sXj1oaoG0REIEHI4DK4+MYIzZHHs1iiIDbd27bsWOfYJbjJivDkAIrVq2ymY/NtoryCoiEqShd1s0gDjIg1EHsY9zSPITGpKXDOIWlDxpxJY9S8JUbkNIAbYuACIiACIhACYEB/p2In3FLSqBNERABERheBPyZ3I0rJyDAwoY2P9H28LpaXY0IiED/EIi9kWlMsA1FIA7xscwg9kHzQ1jSxzVLuKdRwhpGNdqKpcvsuefm2rfourgfXZBP//STtba2uRFKwJvQ8PE3t0wD4gLTcQPldiu6GlcgaMNC/m7IfLv9at2mte9qSwSGPYFwz5fWidJLLq1AJeFev0rO8bqM41h7tcXc5K13Wuybr7+25n3NduXKZVuyeKnNf36+1WNiIp/fJM9vNKPghlisk3RJTHAoAYiISJ7hFB/9BM+zpAyldbebYpbG1rYIiIAIiIAIDCSBHnsUhh/mgSyq8hIBERCB3hGI7Va85pP8Xc/uvctCZ4uACAwzAh3b8KV7FAUo7FEwoCQQjnFCBNf+sJ+G4FCAZjBp+lRbv36jXbx8xU4cO2HTp0y12po6Gzt+HGJwrEIkAQ8lpBbRg3jo06XyAMOifF0s7BASHYvPC8eiRLQSgSFBoLRWdS5w+53d+UjYp7BXrDZRFE/PT4zOjocN8N2S3Ljvu6i9EPTgBMhJyOEJmLUzZ85gXMImO/n3r2ze8/Ns2bKlNg71taKiAnpi9DLAa2yUXkndpOCYQH0uyam0ZMXqHAV2Ln4crLUIiIAIiIAIFAnc/ZtSPNQvG3wC1SICIiACI4PAQFvYkUFVVykCI5cAbAr1Afcu9HXwLkpC+UulUhh/MINP2qoqK+GNNM9e3rTJ0mXlmD11j5349LjdunrN2nIcDy0DpyOOccaZkCE8Umx0qu3SIVUH/PclXoe9EJNhHcPDUX2LwHAmEGuApddIJz4fK5D1iPWJXftDYFS/WK9Yb/Dt4YhDb0CI/vlcm12CB+HBQx/bhwc+sPFjx2LyktU264nZVlldZSnU5yQGE/WZjlHjXOPnOKUlH4byxUH4F5cMtVMVNIahtQiIgAiIwCAnIKFwkP+BVDwREIE+IBC96WdKbNCXrn1HXyIgAiLwsAS83U/BgKIAPlhzNpI0REJOUEKBMIVxzbhdhlmQ6xtqbf78ubZ8+XL76eefbffOnXbq7yftDro4tkKsyGYpaFDY4AhpYXEJEPsuakRaR8dieowO+oO0iI6EtDcSCYR6wSv3+sA6xPpT8q9UJOQ4oV7Hcjlru3XHTmKW8t0f7mMUW71shc155lmra6i3DOox6zpFwZSLhUwd9Z6TmhQ/tAWwCxAew4fdkBFHFXMk3oi6ZhEQAREYsgR63PV4yF6xCi4CIiACIOBeBCIhAiIgAg9LINYg2PDHh15DLgK4EMBtDwkHqTT4zKjohoixB0ePGWtrMOvxqVOn7IsvPrM9H35kYyZOsXSmzDIQGBMY38zFBb7QYHpxmnEZfT/eCQXpEBQf0loERhABrwOsDrF7IeqPy+1RXeVkQ8GzkHHw38V91wGdEmMXIBLm8Pn++++8y/HFny/YiiVL7YWFL9iYcWNd9EcN9SqZLI5LyPS6qIGdg6JyeGb6EgEREAEREIEhQEAehUPgj6QiioAI9JIAXQmiRQJhTEJrERCBXhGIzQpFgVJhAMJBHgHuocQMfBA1REhmrKy8ymbMnGGvbN5gjePH2/6Pj9rxTz6xm5cvostj1goUFUuWDnu+w0zjT8dsS07TpgiMMAKoE7FIyCsP7oPc8A9/9wvsflxcKBzG+xhf1Lsc5+zcuTPWjJnJP/nkmM2aPsOWL1tuk6ZNRr0txziiQSYMJ/2aIAAAQABJREFUIxuHak1Rv0Pd9/TjdIuZYQNhDO58qKuw0tO0LQIiIAIiIAKPiEDPPQo7/9g9ogtQtiIgAiLwoATYzu7Q8MZTe7Ht/aCJKJ4IiMDwJtDRSLjm0DEofgBCKDd5MA7iBvY9PoUIF/6w5nGMlcbxzaqrqmwOxitcd/Zne+Ott2znrp1WX19jz89faKMqqsOM7B6fUiM3uDCveDuEFA9Fu1qJwHAj4He8V6YHvLJiHQl1h16ESQr1cTg2vVswaxbDoirFCYluXL9ihw4fwSzH+6ymutqWL15is2Y/ZlV1tRiTEMMI4AVAG7yC85yhHAIheh6jSuOVALsVP9ASZ1Z6QaGGc4b06OgDpaRIIiACIiACI5RA6U9IPyPosVCon7R+/ssoeREQgT4j4G2EkkYBEy46H2AwMNmzPkOthERgyBOINYX7Xwib9lQLGJPCQ3SGb/BJDgICwribgMGhnACZAcFpq6lt8FlUT//4vTU17bHtO5sxA/JEzKhaaWVVlZhXgeOa+f8oeaTP7pRRJl0+J8b5R+dFpdFKBIY2gfi+vtdVeIVoj1jcijeiOhEcdqPAYoU1y7a12d+//MqamnfZ7ZbbtmXDRlvw/AIbNbrBEpy8hN2LOSUy16iYHEM05Z7CXvNZVR9iiQsVTgnnRi8tHyIVRRUBERABERiJBB7uF6c3hHosFPYmU50rAiIgAgNOAM/mbGT7cz7W4T0+S8FHfi0iIAIicG8CHZv3cdySUDy7xdqD2xlEiffpJpiASpHIYSoEzIbMroyTJ0+2jRtetFPff2/Hjh+32bMes7raWhs/aZJlEimIhRhlLRelz+dCdJ3knosWcfala8YpKU7pIW2LwGAm0NVt23VTKB7/M77VozM7JRDORdxoLEJOQMIz4t/9fI6/+9hDBeW4hKd//NGa9+yx77/7ARMOzbcVK1faxMmoh5kKiIBIzScjgdjP7sf8MAx50jsxz0oeV/heQO76enuRoE4VAREQAREQgV4QeFB/+V5koVNFQAREYDARaH8c79S2GEyFVFlEQAQeEQFaiM6fuCi0Gff6hBODj7LbFyQUNIRgbSjypdKYGTldBq/Cansas6n+6rVf26iGBtu9a7edOH7Crly+arlsGz455Iauk5yIgWOo4eOZl5QvlKtziUKovkVgqBGI72SWm9vt9ZDSHP+FesTj3Obxbpe47nki+KJQT2EP1SqXzVpbWxaehFk7f/4cRMImO3jooE2cMMFWL19h06ZNs3RVuQuDaZxDobEAgdDTwDZnPS4uOB6XuyfrYjraEAEREAEREIFBRKDHHoXsAqNFBERABIYGATy+02Z5gyEqsT/8ozHCh3zZs6HxZ1QpRWAACBSHJeicV2RCOgd3vY/IGB+tKGxwt0ChAeIGBL+kZS2Bcc9q6kbbggUL7BzEijffeNPe2fqe1UI0fH7+AgiJKe/eWLDoUY32y8WRWKSIRRMeiLYjWyab1vVfRaGDm4Df4lERO9TD+EDU3Tfc7yEwfMd1ASczALt09GModykQhipCsRCTBuFfDpMH3bp5044eOWq7m5oQKYnhAJbZ47Mft0qMUVigGOh9lVH/sOmyJLofo1qHrseshkg35I/tXi4sqxYREAEREAER6I6A/5Z1d7AfwuOnzX5IWkmKgAiIwCAiED3N+8N4URhEYHF7EJVVRREBEXh0BGgruvhEJuT+5aJN4X+3Le0JUePwgQ4wGUKSoxVScMB4hWPGjrY1K5baksWL7Ksvv7ZmjFn4PbojZ1vbOKghFlgtqBMYtRAzr3LswpD+3WX0TMPx+5dSMURg0BJgrelwf8c7fu+X3Ocd6kIU7nGZAOVA/PP+//zl91TR9R9ehejGf+fOHfvy5Enbiy7HN67ftCVLl9rChS9gXMLRPkZoGkMExBOVsO4G8Z3ehCGdeBJlSoUhhHlqEQEREAEREIHhQaDHHoXD4/J1FSIgAiOCQPRgzwZ2/DYmXo+I69dFioAIDByByDWIHkjB9FDoQ/YULDA2Gv0ME4kM9jF7KrsWYwKTKdMesy0vv2JnL/xiR44csnHjGtEdud6mTJqCcdIgDvJceDfl0G8ylXL3JiZYFAWZvIsV/OKOFhEYVgS6uqm7CCtWAlw8D6PelMp4nLGYUfKoRz/++IPtbm6yU6dO2dw5c23VipU2edoUK6usRv1EV2OOD4pWUp4JcYxR/vP0o7TjbVU4ANEiAiIgAiIw3AjIo3C4/UV1PSIgAiIgAiIgAo+QgCsUnr93V3RpAkIeXQjpSQjRoZDMsDcjuha3Qf9LYTy0anvyqafstZdfturqKoxXuNOOHztul69ehGDhUoWLGzyHHlL80KMp3mZ3SPec4jHPWV8iMMwIxPc76hHH6+S4nQWvBLhOr3KMwO2oDkDIc49ArBEUDuEwxyb85ZcLtn/fB3bk8GEbN368rVix3Lsc19Y1WLqsDGOIQpyHUJjP4uPdjyESIg2OVZhAfYVaj52oCcU8tYiACIiACIjAMCMgoXCY/UF1OSIgAiIgAiIgAo+SAF2NgrtR+GZZoCbgiauADsT0SuLDV4LdiCEY5hM5y2CihKrKSpv//Hxbu3ad3b51297b9o6dOHbCrl277oJIFrOz0iOKSdEvERJGEAo9de5rEYHhTcAFclwivf18tuGgkPtF8/4Pwjk3uO0rrxesHW1trdbWmrUrV67Aa/eoHfjogFVBoF+xYoU98eSTVl1Xa5l0BhoghPsUhPwMvH4hGKLGukDIihu6IIfaXWxAdRhM0YuiLxEQAREQAREY8gTU9XjI/wl1ASIgAg9FgK0HLO5981AnKrIIiIAI3JsAhQQqEy4Quq2Jduh9hMBUiq5/3ITgB0Ein4eHEiZVyOfgWYj9mro6W71ylV365RfbtXOXba3dZmPh8TRt+jQIiVVWoCcTE4jsmKuO2KeUERJ2NfLehdRRERgqBHCrly5+l9MxF+JcgZUtuu1deUdwXC2KG+hizOhZn+WYQmGrff7Z55i8ZLe1IWzNqtW2aNEijBM61tKZMlQnzErORCHcJzjLsVfWULuw42n54WK55MFLLlpEQAREQASGH4EeC4X8bdYiAiIgAkOBgIuCaADEdovrsF3aMXAoXInKKAIi8CgJxDak2zJEAoLHo+tgyVKcGKEYRvGQQgPGQ0NYChObVGG8wqlTp9rmLZvtzLmf7dixTzBO4WR7FV2SyyZPgYNTGt2WEZldLtEl0rOAYJLANidbyKE7ZhKiZMeci6pGMWduhNCOMRl+dwhDtYjAoyYQ7ljqdwlX5Fke3K2sD1jzqNckqIUUB8MdjuOoEwl4HuYgEp769lvbDgH++1M/2uJF823xkiU2YcIkq4AIn2LC9PKN1MYk9tm92fOKKoWvOlSn9ucKz1JfIiACIiACIjBMCPjP6zC5Fl2GCIiACHRJoPhwjwf86Hk/OAp0GVuBIiACItAzArQvCQoNLjZ0UBR4BP+DKBjrHJQZKPYlUmUcEs1S6O5YWVFhj8+aab/61avWOG68vb9zu3380Ud2/fpVdJ9ssXwbxItkeMlRzAcJ5jGWIcXIoo17oEtoL2Ncpgc6TZFEYEAJhDrl9Yv5svUCcTyIhPQubL+P6ffHWpb0egiBEB67udYWu3DuJ/sAMxz/7cSnNm3aNFu2bJlNgfheBpEwCYEQtSdcEVdMDufH4n444DU4jhUHaS0CIiACIiACw5JAjz0Ko1fRwxKKLkoERGA4EghdhEqbE77tDYLheL26JhEQgUdDILIysfIWCw/RgxMnRAgLRUKIERApkhh7MA8vQfcIzKStsrrOFsyfaxd+3mj/43/8i7393lYb29hoSyFupDl2WiENcSOkw5mQk2kIhFAcObkDPQvbFwqKpVYvHPEQjxYK57IjAhmuIdfa6Wlr4AjEd2np3VvMPb43PSDaKR7EPct6VLzTKZajHsAbEOo5buqc3bx5245gvM8DBw7Y2NENtmbtapsx6wmrqK62FD1x4XGYoJduAudQgORCoZGboYp4kL5EQAREQARE4JES6PJHsn9K1GOhMDS5+6dQSlUEREAE+pQAn/f9YZ8NDDQhuPJ/bAvEW32aoxITAREYoQTan+FgaLi4YAg7E+1yuMKwhADfxdiD8Al0rybGw5wKNhozsK7FbKynz561t9/dislNttqEiY325JNzMEtyxtPj5CbsZlmAIJLGxCjxs1m8LtU42svVnn2IF8WKVlExo0haicDAEuh8/4XbMgqlil2MEN3lqDAUCRnOQ6HjsU8b5F66N27csGMnPrGm5j0uHq5escQWLVxkoxsnYnbjINZ7Y4gZcWE6UWV1wZGJ4lh82ON0+mIULSIgAiIgAiLQnwTC79C9fo36NvceC4V9WwylJgIiIAL9RyB6zvcn/dC0iJvRzFOP+P1HXimLwMgjULQ3xUuHvUFgbHVij8JYjKAHILsrJyAWUjTMF7IYLw1jpSXKbdykKfby5i12+dIVO3j4EDwLt1ttbYNNnz7dsnCW4qys9KYyTIqSLkuHsQo5E2yHhQ+VIffuHzJxpGgKixsdUtGOCDwyAqwjvEH9Bg73M8viuiGCc5wN3BfEomcg4qLDsd1puWN//+or27HtfTsDwX3ZksW2cNELNnHCOMtwciCcl+AH6j09C8MbRZzu+YQU7/et2nI/QjouAiIgAiIwFAn0WCjUD+NQ/HOrzCIwQgnwod9dCtvX7KbnC9ayZwGFvkVABHpHIFiVrlQGWJnY0FDdgBJRtEHU9WCHYpOULHBmY3gXppKWLEvYtClT7LevvWrnMRPyO+iCPG70GHt1y0s2dspkn82V51WUZdB1GWOzRd2R46soZunKRyxVxkc7r1nu+8XpfI72RaD/CIQ7MtLtvIJ0CPGM6UHIbsbefRgz/SQTKRcAWzGe5+mfTlvT7mb79MQJe3bOM7Z69SqbPmOmlZVXoL7RExHdlFln6ObrM4ojSVQaypLxEuplXJPi0LvX949x9zkKEQEREAEREIGHIdD+6/QwZ/Usbo+FwuIDbs/y1VkiIAIiMHAEom5EcUu89IGe27JnA/enUE4iMOIIwMi42BB3QQYAf9CLnvY4Y3G7ikg6QazLReMNlldW2FNPP2W/fvkV+79/OI1uyO/ZuInjbV1Dg2XKyywF0YNOVOGBLmTW9YPk3aEhpDS8dJtl0SICg4EA7+uoHNjE//Zd/L7nORMQPHHzEAoLaYiGbVm7cvGifXzgoB379IRNmzHVXly71mbNmmVlVdU4GYIiO+2jYnLW8bueAeK8irkgQ2baxcKorNrFU7qIoyAREAEREAER6C2Bu36repvgfc7HKzQtIiACIjDMCQSXAH+Qp5EtfhDS2QNnmJPQ5YmACAwAgQ6agisI+OITF0VBCBs+NirVPX+JwX12OYbgwWMsH5QHbqfg7ZSprIYgWGGL5y+w//Zf/6vdQnfKP/7lr/btqa8te+eOpRA3eEX5ibBqHXJn4D0WyRv3gKNDg4QA72jvqs/64TssWFRXsJXLZxEe6lgu12rXrl2xj/YftJ07d1kylbAVq1banGefsVENozEuYbkLhPTaDd3/WSc9g7COnheiisiMwsKq0s2HwVpEQAREQAREYDgRkFA4nP6auhYREIF7EvDms7cyokYHYsfjhN3zRB0UAREQgYck4PaG5wTDU9QYOLtxHpOPuCjox4LMwB7J/oGiSM2DJ8I3iv5OLm7Ujx5la9astHVr1th333xr//b//bt99+Npa4VYmGtp4QlBAKHQwXEKo0+BM7oyyEUWdLcseVni50QFZRzP1gP1JQKDh0C4d1mecIeyZvged/FJJuFPy+7DOYxLeO26ffbZZ7a1aaddvHrZlrzwgi1euBCTl4y3VKYM0aKOxaGSoa5RcAwCpEuPfEaI6oRn0nEnBOlbBERABERABIY5gR53PR7mXHR5IiACw4kAH/zZCsbS4fl/OF2jrkUERGDQEaC9cdMDUYIiBK2Q2yCaJG5FdomrcBQRKGRATExhjEJ6PTFOmgIHYowdN862bNpk586ds/3799u4cRPsD7+rtimTJ1kui8lMMM5aDmJJJp0OQiTHLfSwvHsnutciwtq7ryDjYBqRl+yjQ9DXoCPAyUYoeOcgsFMA9/d9GIsQFQWTkGCNWcJb2wrW1tpqP3x7ypqbm+38xUu2AALhqiXLbArG+SzD5CWGWY5TOMfrGyYAiuufX3CxKnit7VAvBh0QFUgEREAEREAE+pmAPAr7GbCSFwERGJwE2hvKg7N8KpUIiMDwIODCoItxQZFDT0j3akpCrXA7FIKDMIFt92pCl+M0Zj5OYeRBdj9OQeBIl5VZeWWlzZ79mP3D735nkyZMsvfeedf2fbDPbty+CRGlzT2q0hQY6UWITxABWYLggUWFJfYsDHS9dO3RXIEZHtx1FUOHAKtA50/H0vO+xW2NsQizEMIZm734ORkJhXFOZoKBCe3cmXO2e98H9umnn9pjU6fa2jWrbdaTT1pldS0E87R75wZ/Qkx4AgE9gTrm9ZCaoWcYlSLsdCyC9kRABERABERgBBGQUDiC/ti6VBEYsQToPhAt3u0u3tFaBERABAaAAOW4YIYgU1AAhBdU+7iCLADlC/wrsVUeBk+qEAR/QwiAKYgdFfCMevbpp+1//9/+u1ViopO/vPlXO3j4iN26edtnPk7Q6wpLWzYLoZGpIiUUIIf9AsdF5L5/x18MCx/m1fFYHEdrEehnAvFt2FU2uDF5b1JE5zQkFAmz2Zy1tt6B5yw8DbHNyUs+OPCh7T1wwGrr6m3dihU275lnrQZd9hPwyHVh0SsTTqZaj7rkgTwQaklx1VURFCYCIiACIiACI4lAj7se82dViwiIgAgMBQI+DiEbGixs7DHj69DZT/ZsKPwVVUYRGDoEghzXsbxxWAcvQhfoEK/ECPG42ywIIkHAg56BCBRJmEYylbHyikpbuHCBvfbKFvu3P/7J/t8//tGqKqps/vPzoH+k4EFVbVl0w0xDEEkWytzjyvNHPikXH7FRzCcuJwsRSllSnPig1iLQfwTiysEcuN3pBowFbnajD66F+O1GnAzEPnoU3rpxw06cOG774E2YKKRt5cqV9vyCuVbbUI/4kMv5+w/PXArmXq1Yo4rPAswUiXXKk6EPs/Ty9IfJSnFFQAREQAREoN8J9Fgo7PeSKQMREAER6CMC/gDPBgI+bFz4wu1oUysREAER6CsCrj90a1xoiLgwArZ9l1/Yj89hMBJxsRDbFAm5hDEN6UmVtQoIhQlrs02bNthPP1+0d959x/5cW2sTJ4y3adOnoItmDhOg4Mw8zkrkvPsyOmiGbpaeGr5ioSTe11oEBhGBqIZ4iWLxPK4DFA756o/h2WyrnTz5pb23bZtduviLLV+5xpZiXMIxGM8zibE6Ob4hFxfaWc0olGPfhcJQtfx4qA+MEHb1LQIiIAIiIAIjmUDPhUI9YI7k+0bXLgJDmoC3zXEF8VoN5iH951ThRWDwESgal7uLRgEwfmHhYmCpNoHz/FSuow0KHCE+hb+8ZcowUUkbJiyBWDhx8hT7zWuv2AVMbnLs+DF786037Z/+8R9s7JhGdEuughcVRiekqIKnvQTGd2MAJzRxz6pSQcQzwDhvnufdZVaICPQ7gfje432J7XiX+brI5xUCE5l4z3pMSgIPwdu3b9uXX1Ik3Ir1V/b8vPm2egUmL8HkPumySsyGnIHQjnOiwnOkTgqE8EssLqgNvh2+O2VcjKUNERABERABERgEBOIHyAEoisYoHADIykIERODREig2uNkGYIshBHjjgZ4JHsTgbj6PtvTKXQREYDgRCCYIdieyQzQ8boV4AAsFiwRmSY4tkgdz38OSluEYh2WY7CRTCTGw1p575mn7b//8j5jcZKK99fY7tnPXLrt+87q1tNyxtrZWKoWW9wkguIlxCnPYZ46ecCyPhPKwTAzuyQenaRmhBB7kfrk/Gnq/tt97pfHDXYr7N4uxNnnjYlzCFoxPePbMGdvT1GTHjh3DzMbTbeWqlfbYY9OtqrbaRUJWpgRnOfbE6EnIf5wtmQcYGI6U5qVtERABERABERABw3R6PV7049pjdDpRBERg4Ai4qULDwhsGYc0gNkj8EL/u8XbG47C0bAlpEQEREIH7ELiHOfEzizalczqlB+Dyx26WnhYd/YIbFcIQibMgJzIQ//KYGRnCYW2dzZ07DzMh/9b+j//z/7I//+d/2qRJE23xgkVWV1dnhSRnhA0ijBs9pJ2klyEER88SXy4QsksmAzhbcjhSUkIc8MglQSWb4RCNJLZkK0vIjIzN+J7v7k/P+8OF8SgCuwyXLgx2kZAiIA61dzXmGJs4yDDI20l6xuZT8KhtsxuXLtuRQx/b/g8/tFp0u39x/XqbM3eO1dTX43xMeMIxCfGPNSmBCUuK28WMQxmKZYnKVjysDREQAREQAREYVAQ6/nb2d9F6LhQObDn7m4PSFwERGBEE2GhggyQ2YFgXt+8DID7lPtF0WAREQAQemECXdoVefeEfDVYQMiCTQEShBUvCZuUgEvqp/MIMynX1DbZixUr7+cIv9q//83/af/zHn6xxzFh7+smnrQwTPqQySffEykEEhD+id0kudj9GHiHlYA5dUKFg47nF+d/vihifixc4bOp7RBGI74DuLtrHCize7x1jx2IdOwUHaS/cd8VxBD06Ts4WLJtvtRvXrtnBjz6y9959z8fs3LBxvS1e+oKNGz/BMmmI6H5HQ1hE3aCwHkRC3tFcQt78LhaHwR12GKBFBERABERABAYRgQH+nVLX40H0t1dRREAE+pnAABvYfr4aJS8CIjBsCUDG4LAIdO7zBVIH7BflQ3a9zFPwg0egu2EhjLPB1tePspc2bbFfv/KanfzyC/t//uVf7LuffkJ347y1Yiy3BNJLFuBpBfHEu18mOdhb8B6kUOMPhC4QBpGGGcYCTlQIrUSgFwSCQOcJcJP3WkmQi+AMgGuhT1bi979H9Ns8j4l52jBxSeuN63by88/s7R077PS587bkhYW2fMkSG9UwynLZnLXm0D8ZdzjvXZ+4BN6FJdn0ovw6VQREQAREQARGDgEJhSPnb60rFQEREAEREAERGPQEIHDgX8G7AkMdpOCBrpPu8oTtHAZqo1chPaVcAEG8dLoMYxZmbOrUKfbaq6/YvOfm2f4DH9pf337Lzpw946IMH/hcEIzHXYiSJA5uconXnbf94D2/4jPj9T0j6+AII+BynwuDQfjzG433cHy7uCKOY/hPL0K/v7GDWxvf8J5lVHzl8zk7d/q0NTXvtpN//7s9O+c5W7d2LSYvmYLxOisshVmOU6w34EtR3b8j8XuEIdflioAIiIAIiECvCEgo7BU+nSwCIiACIiACIiACfUkgeELR7y/2iqJiwjHXMDohulaWQxDJUDnx4/Q8pNdgDhOWFCAoTp8+zX77m1/bzJmP2dbtW21X0y67cu2KZdFdOYl4PiMExBd2Xg4Oi8GzkGJMxyXukNwxtPu9uxLoPqqOjCgCvDN4LxeFQd/wUPce5MzcPjs3xuL07sa8TykRQkCkJyHcaDFrd4v9cu5ne3/PXjty9Lg9+cRseNBushmPzbKyqgoXFz0PCIPsYu8euRQe43oyoojrYkVABERABESgdwQkFPaOn84WAREQAREQAREQgT4k4OoGhh6EEAhxsLjQUwphVFuC6ILtFI5DHEziQ49Cdtksr6i05xcssP/yT/9kVRUV9qc/v24fHTls165ctZY7d3yMt3yuLfT8hKhS8MEKkSc9rzp9wgQUCNciAr0mwHu341KgEMh7EN2F89ksxhuEaA3BO5dt808Wk5ZkEX779i27cP687dm3x7bv3GVVNdW2Zf2LNhcehfWYvKSsrAL3P71qMQInvArT9CzEBxUFdQIjFvK+1iICIiACIiACIvDABEqeQB/4HEUUAREQAREQAREQARHoVwJ8RAvCYFgzM4qHXIXHtwK9rdiVGL6GSUwJi56Z8CpMWW19ja1ausRe3bTRLl6+Zv/+H3+0zz//1FpbbrrwAudCjFmYde+tPIRCFwuppUSfWC9ESAiU0BJQ6LsXBErFOmxTIIxuNOjbvg/F0PKJNu5YaxvEwzZ4yt65bVcvX7bDR4/azt1NELtbbOkLi32G4/oGzuoNP1uM0ZnGx8ffhDiYZP2Iqg7Fdm5qEQEREAEREAEReHACPZ/1+MHzUEwREAEREAEREAEREIEHIUDxhJ5QpeIc9uOFEzTk4XWVhDdhIhnElwK6ZlJcSZZhghMsyXyZjWtstA3rN9rZXy7bjh077S9v/MXqGmrQVfNxq8BMyOlE2gp8CvQxC5l+SKt9HY6VZF2MgSNaRKDXBCB7++3nsjfU63yCH/QahnKYawvehdlsi33z9d9t+65ddunyJVu9coWtXL7Cxo4dZxl4ESYgjFPoZlrsns/F72R80fOW3fK5uBeub+lLBERABERABETgfgQkFN6PkI6LgAgMWwLwZxi216YLEwERGKIEImWOwkZHCxXEQhcQsekzw3KSE4/EY8GTCj5Y8LBi18symzJ1mv3ht7+xa5cu2J79H9q4iRPtD7+vsylTJkGIxGQorqGwKzMElkiYZHdQ2sZYp6SnohcpLkwoxhCFq2I/cgJ+H8X3FwQ+3E8UvTlpCf9nIRBC8kaYuffgd999a1u3brOTJ7+0xYsX2abN6yF2T7fKiir3oi1AXExA9ObCe9/yENCRaHC6Zfq6YR/531wFEAEREAERGHIEei4Uxk+QQ+6SVWAREIGRRCBu23bwzikBwPDujpVEQxNciwiIgAgMDIHYbsW5le4XdQ8G+oeTPqDLJlUWeFYlvSsyDqErZk1tvc2eOdN+/5vf2qUbt2wrPAvHjRlrr7y0xRrHj7cU41IsTFEapEDDTswIQ3hsFyngJDCJSlgQI/yP9ttXspHtLEbaFu8bLvE67N39XXqPhPsYgh5PgqqXgFhIf8A0tjkxD8cpPP/zWWtu2mNHjx6zadOm2uoVK2327Mestq4B9yTiZTFBTxoiI8TtIHYjAbZPeAuHL6y7LhXL4lljrUUEREAEREAEhgSB4kNg/5c2+Oj3fz7KQQREQAQeGYH4vYY3fLHDrkixQBg3hh9Z4ZSxCIiACHQiUCqodDrku37cFZagi0QdLyESshsmdBKIJzlMWELRpKq6xubMmWv/+OvfWC1mh33z3Xfsg48P+bhvnDgiwRPcSHLdnhufRfE/CDl+vORgezRtiUCPCfCOCncV1Gp0PXZRGt2Hk7i3b169ZschEH5w8KA1jB1tL2O8zTnPPWdVVRiXEOfBcdC72nMinyAxMjS6aVmikDC3tIiACIiACIiACDwkAQmFDwlM0UVABIYPAY5ppEUEREAEBiOBUuvkgl1UyPByoz0kAVGl2NUSjn/pVAbiHrsVB+GlgK7DdfWjbeniF+z3v/uNXb123V7/85/ss8+/sGvXr1tbS4u13r5jt27fhl5I90KmB8klysJfqnQC1J57pwPaFYEHJEDtmfcW79IcxtikP2sBsx4XMMvxzes37Ognx+ydbVtxHxZs08aNtmjRImuEN2xZBjMc4x6HKh7dr+1NmXBf6u58wD+BoomACIiACIhAtwTaf127jaIDIiACIjCMCKD1WxyzCO2JuEnR3XoYXbkuRQREYIgRiO1SXGzuc3FnKX5FnoDeXdgP0L7h0Q7HMtG4bxRg0mVlNnb0OFuzYpWtX7vazp49Y398/c/25cmv7M6t6/DgylsK53EW5djLmn5a/jLF82kXEJlNvHQuXxyu9cgkEN8Pnddd0ohvZk424vcxnAohVN+4etGOHT1ib763DZOXXLNlSxfbimVLrLFxHMRBTMCD33CKi0mI4WkMZMgJTDimYZRE0anQhW5k3Lks8X6XZVKgCIiACIiACIiAE+j5GIXxL7BAioAIiMAgJhDaIsHjpljMSCxkI9gb1fewZ3FbpniuNkRABERggAm026HQyTiMG8hC4AjtGWc/5nSxUEuy8MrKcJITTPCQz7fBWytrbfDYqirP2FiILa+89JLdvHnD9n9w0Gqr37B//sM/2OzHH0f0jGVxWhLjEYa5IbB2mSXKx6+ZNtM3/IsaIpeSoBCg7xFFgH//+F7o6sL9/uik5LHnPMcPpBNrDmNscqP1zh376qsvbdv2bfbdd9/b/IXzbd2qVTZhwgTLlJUXJz1hd/lkAu6zSNhrRHwDshs9A+N9Fqb0hu1UuNJonQ5pVwREQAREQAQGF4F7/J71R0F7LhT2R2mUpgiIgAj0I4HYk7BD46DDTj9mrqRFQAREoFcEIikGNovefh0XTjeShFZITyt6/2Eb0VPJDLp05iydSVpbPoeZYivt8cdm2Usbt9iF8z/bocMHbeLkiVbTMMrGNzZaeRqPhRR0QhKehdvNop1kGYo7vhWVqmNxtCcCnQmwgVO8fXgTB5GQ3oHscpxtvW0//vCD7dy7zz7DDMfPPv24vYIuxzNmzrby8ioX/BiXk53w/g4L08GW34RRGPfhZciFm7FQGHvKMkiLCIiACIiACIjAvQnEv7T3jqWjIiACIjBCCagRPEL/8LpsERisBGiUIsPk4wdC2It1khQndsBsxxRHeAyOhB7Xva4gGibSKauoqLZnn3nO/umf/tHGjB9ju5p2W3PzHrt08ZLlMbkJF2qFYfQ4bFBtccXFD/Fo+wcRE4xcDIvjaD3SCOCOi26T9hsmbMX3B4nE27hnfZPuhG3W2nrHzpz+0XY1N9nHhw/b+IkTbN3adfbkk09ghuN63H+YnAf/Uu5NEW5GOg/y/i5AEWdSnjlbNfSmLd60IW7IjJG0iMD/z957cFdxbFujSzsoC5GjyZgMziYZk51Puufc795vjO+O8cLfevfd952bzznONjY44gwm2tjggHEgmGSSJBT23npzruraagkJjAChMEva3dWVe1aPVV2zV60SAkJACAgBIfBrEOi3RqEPyr+mBqURAkJACAxCBKJ24a9pmuTdr0FJaYSAELi9CCSkR7qSnstQIi/iO8hy4XCnZXNV4A2haci0uUrrzJRs1OjRtvSe++2Zs7/Yv//nf9nLr7xoYxsbbc0jj9gYxGWwazK5Fu4Qn82WoL/F18UgCdNHLh8NDjUhfaieHvwQl1A4MZHOgxSB0G9djSt3a1fQNX18zrzDWRAeBJKAocwkHKdOahDizB2NS7SFyRIR0Ami8NL5c7br0922Y8d7WDafsw0bNtrye+6x2oYGy4HcLrFMJC/huSIZTn9n8sA54Vh+EMkUhgXzXj6uvFKee3HlNL3EKUgICAEhIASEwGBCoOdYfbvb1m+i8HY3TOULASEgBG4nAlqGdDvRVdlCQAjcSQT4IYSbPPgSzeTEF0yGd0JrsKI6Y6NHN2KjiNV2+swZ2/rKq7Z16ysIA4G4bDmWItdbpgTNRDApFZ1Z68wWQBiCsMHyZS8DEYGOQakke/hH4gYLoOl8dWhCFXmADoMaARJmcQLSH/IsPA3Iycxc+u7PRFeZvrMxdjPmrtoZPBysi2NwoaPdLp7/xQ58th8k4Q4r4NncsnEjduheaePHT7I8l8IjtZODng85/Z9EdqLBiE1N6G72HrwQHYSAEBACQkAICAFHQEShHgQhIASEgBAQAkJACAwbBECZgDvJ8OCsSkLgOJWCEBCIpY6CVUK7cNLkibZl0yZrbW6xjz7+yF5+9RXLYofkJUsWW0N9QyBzsBlKZbaSqmC+0yy1DL0o8oggbWjOkNfcexaLnVEBNkFxba9A5JDAkRv8CNxcP2EnYu939Dk2JvF9iUt4IvB8+I7EPCe2Mztgj9BKIA0L7dbS1GyfHTxor766zU6dPWtr1qyxR7F5ycRJEyyfz4MgxLPkeYEfzsEFYtAfcgYk4b4EnonlhIAQEAJCQAgIgZtGQEThTUOoAoSAEBiqCHBaKycEhIAQGC4IUKJ1USWJfPO1mfBHcUdNLBAqldjlOAvScPbsOfbkE0/YhQsXbN/+/VZdV2ujsORz3pw5IBWzls3nQPiA+sFyZi/by8GBu6UgngRihW9aS61C0IYosxO7MLOOUCfSicAZLo9Yr/fBR4K/rmePXc4RNh0Cghoag9RKhY6qtV5psSNHvrG33njLvjnynT344P1YcrzBps+YYdVV1XiMQBI61x2eo6DByopSNaWL1zPWa98oUAgIASEgBIRAfxDoN1GoZXv9gVt5hIAQuFMIpOcTPdsgedYTEV0LASEwFBFwOddN2CUUDk/RQc2LWoEFaHZVZDuxo2yVzZ1LsvBxO/fLL7b70102fvRYa6itwY7Id8HGIXQTkd+XHHPpKMmboCqGzSSoT5iQhSgzVJNU1q1OJEvaJXkbO2IYnZMHj10eCD1/SPx58A9yIJK5K3cFZx0gC9uvtNrxY8ftPdgkPPjlQZuH528TNFvngJzmDscVJJ9ZZmAKwymBK9CPZdoweeaSyGuc9NxdAxxFCQEhIASEwJBAwD/CDlBL+00UdnsPHaDGqhohIASEQL8RcC2EMFf1CUOcy2JyK3nWb1SVUQgIgUGGAOWbK/MlMi5wOImUS7QLXVsrB8oFWoHcJLmmutYWLVpsv33mGfvr35619z94zyaMG2cbNm7EzsgTLIcNJmh7DouPw91CW8xJQvKE8HOjlE6QO04gliWqU0QJOmhM0p6+4JIc7guZgQu/TheVe/aqFvGZQyAJaHCC4SnBM+FLkAvs+vAs8Dlpa2uzE8dP2DvvvW8ffPSJTZow0UnqxYsXW21tLTYvcTVCr6Lk5fJ5DgvbPRAkNUtLP+Me7ge0Ij5IfjNddxSDu9LKJwSEgBAQAkJg6CAw0ONY8sY3dABSS4WAEBACN4xAnCtwqVwyoYmz1oEWujfcdmUQAkJACNwgAi7yINx4juIvXQQ5PRIq1A4s+RLijI2fMN5Wr1ppv/vN7ywLe3OvbN9qO6FdePGX877pRLEAEgi25bB+1PNwOTLLwKbIqATkjV+DSmTZDIqH3hrgKXQYLgiwyytcuxSPB3q+gD7vxM7GFfSQOuzkRiad1tHRZr+cPWef7Nxlb+z4wCrr6m3L5k328P33Y9ft0ZbL5n15ckWyQQmJxTI5nTxH4KURxovUg5bE+VOHesLy5HLgcIFZ9yEEhIAQEAJCYMAQuAmNwmSAHrCmqiIhIASEQP8QKOu1uNjqWrIUJhy8ljzrH7LKJQSEwGBCwGUdxZkTLGwZtAC5TLiHI5dCMtBXdoLZK5Y6uDDUGkePg624B+z0udO2ddvr2GRiq9XX1NgDDzxkdQ11MEkI9UPsROuKhGAZudlEmbBBNU4SguQhZ8g60o6tYFBsTYyO1zGt5HFEYmDP5XEyVW3PvmFUV//EHkwyeAejlCJLQiqQg/6ckIgGuVwstdnFi5dsz7599g6WHHMn481Ybrx69WqQ1BMsC7uEfHBKyO+1+EMUWsBnqbzcikGMC6mY9JoutCakvmZCRQoBISAEhIAQGNQIXGfAu8Vt7zdReL2B+Ra3U8UJASEgBPqNQGpKkcwvONXBHyN4GFi52+/7UEYhIASEwLUQoFyjc6UqnF0bKy3fEoIlQ0YPBCJtwUE90NMVsLsxyZiJkybaunXr7WJTk+145x17/Y03rGHUKFtw9zyrqWt0O3OdIH58SUqWS5JZAZgcZwYDSciaWZWTT+R93MXWJeHlYOaHczIoeHW8AwjweUi6oly79x37FiGI8x6MaWK/ewQ7j0uOGcll6UXj7sYZfo3DPxcOt166aAf27LWXXttu5y5ctifWP2obH11jk6dMsUy+Eo8Rc+OJBfcc2oEnDM9UMTEPUkGSms7rj42I1x7T66Hrqes1WoFCQAgIASEgBIYGAqmhbyAa3H+icCBapzqEgBAQArcAAZ/jJJML+jnR4Bwn+m9BFSpCCAgBITBoEKC4o3xz2dezVSRkQOAEEg9HJOJyUbfdiow5bG4yddo02wiysOniZTt48DN7bds2y4PBmbdogWWqoYlIIUp1MZA4JfA5GQhUJ4lYMeP8jBMFbeIvnz0FAns2LqZjEXIDj0Av+AfCLhWR8np/OlnIpmIxMPoTtB5sXuLY1hGuEcZn7UrLFTv01Te2/e03sYnJT7Zq5Up7ZO0am4bNcvL5Kti3dNqZif2+nXP2ByTYPiyD4SqrSHMVo1lOIY8QEAJCQAgIASFwCxDoN1HI9zs5ISAEhMBQQiDOS7vkV7B01HU9lO5GbRUCQkAIdEcgzePEGF8GGi/i2YkWkIMg+1wuuhoXbBAigNe1tXU2b85ce+KxLdbU2my79+yxWmx4kq+ttpnYmbYGy0Rz0PBiWhKOzgeWSaNyJeSPPEUI4QVyeIWgGqltFkL83NNfDpRnwBEoL/P1Tgn91EX0xqcsCfc0OICADhqE7bgogVjOwSZhhxXaWuzo90fttbfes8PffG/3LV5kj2941GbjOcrX1CEt82H5OyoIf8kz5Q8Ko1Efni1/bGD30K+9MVc/P0gtJwSEgBAQAkJgWCIQR9+Burl+E4UD1UDVIwSEgBC4ZQhwvnHLClNBQkAICIHBjkB4rXSSJWlq2BWZwhDkC07cUTbLHY3zed+QohOBJPEaGkbZ4iVL7ckrbfbfsC338a6PbdToBqvHzrSTp0wDyZPzJaW+gzLt0EX5yrIQ41wOJW4UuiQG/R/UZVAZQ4tYV5KEYdIUGxQPlGuXJi3xbkPfkMQLLnYormI/8jlKOrqIvUtIIXd2dlip0GrHjh+zt2CTcO/+fTZj+nR74snHsMP2Qqura8AyY+qhZs0fH9cWRJH+PISHIhKWJKO56U5FJjxbsSVJg3QSAkJACAgBISAEbjECIgpvMaAqTggIASEgBISAEBACdx6B7nRKmd5JyLiKsOUxmgkKCBqFWW5C4mQdVxR3WqYma2Mr89iR9j5rbrlkz7/ykr334Yc2pqbB1qxfaxPvmmpV2BAlA1t0sWwSPgZNsgw0yiKxlOKSkuWpIH2Qjs1gC5nOyUKRhHf+kUm3AB3H7oykoRPM3mMkdkkc8pwc2J/QCSTJR81Ct2DZ0WKnfz5h77z3gb3z7oc2YWyjPbZpgy1cvMRqG+p9MxP2PXfLDl3PByIplV6W7S6Ek7xmGIlLerzukEBHISAEhIAQEAJC4BYjIKLwFgOq4oSAEBACQkAICAEhcGcRIAUTXBehEkOSCF6CIPRQHkAMZcjggUCsqMASZF7nMjYWO9KueHiVXWputtdffcVeeW2r5euqbXX1WpswEbvVghhyh7JcGxF2CzuhKdbF5IQWkDCkr9PZRGqcoZ4MQ0K7QosDORUK1HEwIcD+8x5Ed7mfy9a5dt0dl6zTH0jgApYcXz5/wT755BN75513raY6b1s2rbf77l9u9dgYp9SZ9aXGMGcYuEEShHiOvAqUQjLQtQkTLcMKf2YQQXI7sIpOasf03gQdhIAQEAJCQAgIgVuGQPJ2d8vKU0FCQAgIASEgBISAEBACdwyBQLx1r757GAkWJ1kQ7FpgnhgXvqkE08JuHP20XZiDZuH4sbZ2xSpbu3qtnW26YG+885Z9/tlndhlLkjtBDBaw3rSIXZPJIDnVx8JZDH8px81NaI+OJBA1xLwdkUEs00SpDPLeOQTYR/EvrAdG96LPSNp5PwdiMHmSQP7BxmURy42LbXbx4gX79MAX9vqbb1upvcWe3PKorVyx0saOm2D5yio8Wzmkpw5idCgzPi8kAvmLG5cwwq85ZWEiVh+eHb/QQQgIASEgBISAELjlCNyERiFf7+SEgBAQAkMFgSCzwjSDbeY1lzKF81C5C7VTCAgBIXBNBHq8npFjCbSKe5KsSaIugRjCkdhjSN55RmiKIU1ldZXdNXWabd6yxVo62qAp9rG9/vo2q6qqtOXLlltdQx1kKTXCuOSYdA41FVlSWFpKYsmdcz0gIZ1jovYZWuZrSSMFRGoqSOeQ4frHJHtImJCP18818lKErg5H3n3SI463oxG6qyvc+wzp+RwAV1+WzjRJRpYUL+knr1dAnksgCfft22cvvPCSnT9/0TauX2erVq2GXcvJVllZg/7mc1Lh+ofcTQd6q6gChHQsGD5W2eWSCv2UEIRJkKfplrYrl3xCQAgIASEgBIYfAgM36PWbKOwyRD384NcdCQEhMAwRwMQiTE04Uw2TWZ+Y0PB+nMQOw9vWLQkBITDCEXDZRwzS7EqCSY8gikISgxmyPolcpA05q8hZDjsdT58x0x7f/Ji1NF+xPbt326uvvmpV2Upbsmyp1daDHHSGBzRQBrpiWFpMWsdt0KE6ytmgmEZtwlT9LN7ZvlgnA5L4nqeUrO6WpHwfpKDkIhzEmy7C2/UIICICVU5MTwh3e4TEupwm4hqIOmqFUrPQr1AJNyOuwKEDG998ffhb275tu/304w+2ZvUaW7dxk02dNiuQhCSTXY2w07BpNvVWUQXHZDjUF6sLAR7Y5U18fi/p0Nj+dJj8QkAICAEhIASGHQJhjB6o2+o3UThQDVQ9QkAICIGbRSCZ/lB5gWaQMCEpz4Hdf7PlK78QEAJCYHggALIG8pEKf4Ezgm4gbQkisJTPgBSssTlz5tqWzZut6dJl++KLL20Udkeub6y3uXPmgUzMW74iD87HS3BIKmCPjpqGlMMZkEqBDCJpSGIo1EfmMFBQjKeA9qx+SHlDeUlUDL+aXOrKO5J8EY9u95wKTHGsSIKIJK6cJJl/0B6gY0o2l54kI0lg9pHHIdiVQrHsnLteQzXU2lqv2NGj39u2bdvs6HdH7f777rMnHn/C5uF5qaquRReDJPTKQt+Her2C0JZYcLcb0IUQEAJCQAgIASFwJxAQUXgnUFedQkAIDCwCPiOhFgtnIvEXm9DzOoanz+WpVDpQfiEgBITAsELAuRqIO2qIUROQC0L5bSUDkqdAu3LY5KRmVJ0tgwZhAVqF7a2ttufgARCFjZbP5W36zBnQFEMumCssgQjMghh0mpDlweah646BLeIf60h0ya4iitiOvqQuwxnfzV0V0C122F+UsUrjENUJcfe9YpZChfFM7ouCE2LQaVyEeZEIQ9e71iDYXiuCCO5IbFLm8Jx0tLfb0e+P2utvbLPd0DS9e8ECe+qJp2zegnlWW1cXCEKWj+eI5Xl9PPuzgHJZOZ4XOSEgBISAEBACQmBwINBvotCXogyOe1ArhIAQEAJ9IxBnSE4SIpnPenimx/VZMGmJgb0VkxRwrSS9ZVOYEBACQmCIIeBiDrKRBB73rAjafQjFfwZ25ALNk7GGUaNt2b332eW2K/b8yy/a++/vgLZh1m0YTrtrulXVVEOudloBhRShkZjFLshhOTMKJhHFIkk+hQpxQU+UxB7YXSqHoKvRpHju4VL8WI+YEXYJzKL+5vXunPDGX0xL3s65O5xL1AjlA4F/aoWSQC7gghuYXGlps1M/n7C3sHHJjvfes6mwZbll8xabD7Kwvq7ei/ONcfhcsZ9BGEMR0fs/9jgiPJ36LqKvsxAQAkJACAiB7giEd6buYbfzqt9EYXiluJ1NU9lCQAgIgVuAAOcfycS0PCkpS1pE0h/mKH1Uds3IPvIoWAgIASEw9BAAD+TykARRlmtLIf6KYIV4DUUyOFCIXG6KsIbxjXYvyMJL58/ba1hu+v5HH1r96EZbC1uGEydPhE26StcYK1UU/ZyDlqFB65DimNRTkKwoL5HHTmr1Im5jkGdj1rRDJMNjmrQvnUz+ayPg+CUAl7IEFVuM8DoFOkm8UqkIrHPQLKSNwQprb+uwU6dJEr4FkvBdGzN6jD32xOO2/N57rXHMKDwnJAXxvKCP+Vci2ci+pw0Q/MgPOi3NKuGTEwJCQAgIASEgBPpCYGDHSX40lhMCQkAIjAwEepOvvYWNDDR0l0JACAiBXhBIhGKUjeB2uETUHTTIgj9ruVyljR0/zne03bR5k1VAo/Dtt9+xj3Z+bOfOnMWy5A5fvkxNRBJOXLrKcycYKNdO4/VVLlZ6VcSvopGSVl6dWSFXIUCk468ciQDXJGSAe9hhIZ2BJMx4WAlaokUrtnfYL2dP2/s73rdtWHLMnbEfe+wxe+CBB23cuHFQHMRS9SJ7pMKKIAj5CJFs5PNDTUQnCbFJjoFwjI9XuR3yCAEhIASEgBAQAncUARGFdxR+VS4EhIAQEAJCQAgIgcGDQM9d4Gm3jq5YBDlEjTAsHfW1ySB9KvNZmzB5kj2yZq09svoRu3Dhgr25/Q3bu3e/axqSTOI2Jjm3T0haynmnUGLCDoXSPYosUlcCRvT4hRKStKlTTJYKkvd6CETQ/IwDSUAC7n1Af5dz+4S4zIDkJb9b6Cx4/+7ductef22rtcNe4fp1G2zFylU2bvwEkMg5lMSeJykILhAqqLQR7FqjuPYzNUmDmmpUKu2qUD4hIASEgBAQAkLgjiJwE0uP72i7VbkQEAJCQAgIASEgBITALUQgEHE8guLBib4K7DqSAXlUSpYIeyj8OdgeLEJrrLImY5On32VrHlljTU1N9vHOT+ytt96w+vo6u+fe5daQHWWWr8KyY5YGTTJyUawBKmVePokplEdSiWUzLGowssoQDQ8j4Dw+eHW8UQQIsePcHWNn6mL/0oCgO08MHzQIXZuQS4fZIR3WjB2vd+7eZa+9sd1a21pt88YN9sjaR2zy5MlWhaXnXJbc6Q8QNQnRp7RRyeXGPV3o8p6huhYCQkAICAEhIATuMAIiCu9wB6h6ISAEhIAQEAJCQAgMGgScmQMfRG4u4YpI33EzEr8k38NIhFFTDAerhgbZnNlzfTOTjmKH7f50j21/402rqq60pYuWWrYRy1CRg1whd7jtRMGdWJJcQl20X0diMHBG8RgqZr2MYW2BInSPX4cU4VrH6yMQMCRBiJ+jHRDltYcED5RFEYulwdYZlgUXCx3Au906CmEzm9bmJvt8z2772/PP2Zmz52z9I4+AKNxi0++6y6praiyXzQftQVTI/mUfUpvQHU/uxaE34jCk0lEICAEhIASEgBC4wwiIKLzDHaDqhYAQEAJCQAgIASEwaBBIOJ2wKhQXNCYHR8ouicIV2CWuQKb9QQ+vsHx9g909f4G1t7dbc3OLHfjsM8tDs6w6V2V3L5xvNfX1nr6CJCHIwlIxaK5V5FAGCiaZFEkrFk8XCa0YTtIpNoJtSZJ5Wh16R6Crz4gXlwPD4eD9iUheE1+enc/Dgfsad8IOIZccuzYhr0sd1l4o2cEvvrDnX3rFfvrhJ1sNLdJ169bb9BkzsNN1rWVAGLvmoD8Wvk1J0l/pVrABPa8ZJicEhIAQEAJCQAgMFgREFA6WnlA7hIAQGBAE0tOTOAkdkIpViRAQAkJgkCNAsoguahKSOSprFroWIRklkE0UpFxOyk0piqScoD0GUrCmtsbmL5hvm5s3WQvIwoNffmF1dfWWh2bh3Ll3W6amEnvmhldP7oZMR/qRhGOsO55DnCcIvBLZLNbrleMMv18yodyvQAD4OYQ8A3VnBZkN1zAkSI1RIupLhhkGO4S+SzH6phUb01R0dNhXXx4ESfiSff3d97Z6xQr7zZYtNnvWLKuuBUmYxW7I7BEW4w8NPYlDcYGFjAE6CwEhIASEgBAQAoMZgf4TheHz7mC+N7VNCAgBIdCFQJRZnLCkHa97hqXjrx3ZLaUuhIAQEALDA4GE5KHc7CYfuy64czFJJd/sxJcjh2Wm9Q0Ntnz5MvKJ9sLLL9jHu3ZaDZakVsN23dS7ploeuyVnK3OWLSEnlp/6KleSVCjaOSYCyGuWj1/gswIZ6WmcxQzpPUM3wHu2t1vk8L0gcO7KnlS/xT5j/8Rk9BErhDHatQixOzGuM651yHj0DTony34otNu33x2x/372Odu1d6899OCD9tRTT9mCxYusGkRwFqQxP7yxKC8u1sSL6NL+GIGZQlkAAEAASURBVIZzCO4jMpVOXiEgBISAEBACIx6B8ke+249Ev4nC5JXt9rdQNQgBISAEbhKBwBFi4oMJD5fLcXLkEyR4KzARur480yTmJrtA2YWAEBgyCCQkUtLe8hXFIC7iEuFICxVBFpJscjkLgi+Lv4ZRJAuXW8uVFnv+xeftgw8/tMps1tZv3mRTp0+3Gtg2zHFtM+UxNBHpgoYbNdqSJckoi0QhndeV1O8BIQQRbBAThHRMGUoLqUbKsTzGJbRbvO+ARcQGoR7ggyCggmZoQsS6JiCSeXSyxTFtSNKVOq7Y8e+/sxex3PjjPfttwezZ9vimTbYItidrRzVCE7EEzUN2AUldlsRS8PNqU3X3aBvLTsfyyutnhJwQEAJCQAgIASHQA4GBHSX5tiAnBISAEBj+CLjaRJyWxDNvm/7r/YY/PLpDISAEhIAjEMVhhAPXLj6Ta0bzgzZt0WWcqAuUIUmirG9QAaoI54ZRdXYvdj3eguWptXU19u6Od+3DDz6wX86ctSI2POGGJv5hPKmPZBdLKpHA4oWTTqlKY3u6nZmJBYxs1/fUIYVN9DpeCcYOW4gowiYhSVpuQNIJW4TUIixgI5Ofjv1kL7+21T5A3y28e5797ve/t6XQGK1rqMfGJZxGZNBVoc+pCcrSwi88F13XMbzrPLJ7TXcvBISAEBACQmDwItBvjcLwWjF4b0wtEwJCQAh0IUCJhalUerbrUxlMhhAjedaFlHxCQAiMXATKhJN7kqv0Cf7AywWSrxPEUFmskvVDJLmjErQHSSGNGzfOVq142AptbbZ9+3Z7//33rbamztY+utbGTZxgVVXQPwRBRfuGFa5BaCCnim4vL5NBCfzRJZqF9F5PXl8vnmUMRpfAfNNN6yonhQS9jMCZG5pghxLvR24sExwjSrBF2IZlxOgT4N7e3mY/nzxpr7z2ur359g6bMmmC/e7pp+3+Bx6w+sbRls1zw5Og/ZnJ5KwTedCLTvCSIvR2OBOMovFcdLUrqbKXU2xNL1EKEgJCQAgIASEwohH4NePorQSo30Rh+Ax8K5uisoSAEBACtwsBTj8oXjHp9IkR/cmPE5lkMnO7ale5QkAICIGhgwBlI1xyChepo4fHNNQk654wbIYBWZsFaVhRaRMnTLI1q9eAACzZG29vt21vvmEVuYytXrXaJk+ebJnKaqsoFmAfL9FMQ1W+c25sAjmsWGesqkedqdYNbe/NMmXEJ4DVDQdA691JbUEOgSR7qftHcrbEPWW43NhTgOIrFayj0Gknj5+wbW9sszdA8I5qHGVPPPmk3XPfPTZqzBiQiZw+BHKXJG4G/eGUYdI/JAzTXcTrazpE3+ytX7N8RQoBISAEhIAQGOoIXGcovdW313+i8HqD/q1uqcoTAkJACPQbAc6SgnSlqXYXX36NsGSpXL+LVkYhIASEwDBBwMmaX/ki2huxUwG7dr50GHhkoJnGorB3iU2ZOtUeeWSNtZc67NXXX7NXXt1qDdW1Vrd6tTWOgfZhDhpp0HKjWCYJxTO10KijFuW1L0dO48zCYyOYHpcVvZBk6SyD3s976rcDAp4fZ8chFEZvgIXEHug8bCJDu4JMHEhCkIPQDCTZB94QNgmLdrmlyXa8u8O2bduOJeSjsHHJ07YCfTVm/ARoEuZd0dOXG7vGZwkkL9jGTvS3D7UoJFTddSc9r7tiUr5flSiVXl4hIASEgBAQAiMJgYEdJ2+CKBxJnaJ7FQJCYFgg4OQg7yQK2ngeFnenmxACQkAI3FkEKFIhZ8Nfp2FRsStyZ/M5mwyycMPa9Va40mZvvfuOvQJtNavM28MPPGijx4y1HNJwU4wKbHKSAeEYtdBoIIIKb+CgrOTlJxKczGB0kSOL1yPw7HhRVZAuas6zLxItQg9HNClCLhnPUM0wU3Rsy3kRf+6Xs7bjvfdt67at2KE6b08+8aStXfuIjZsw3iorwfo6m+iVeJHUUnQVRfRbKAfBGlodGx2EgBAQAkJACAxVBEQUDtWeU7uFgBAQAkJACAgBITCIEIhaf1Q0o5JZibbwyPCBOCJZOGXiRNuydoO1dXTYmx/ssOdffgFGCYu2YsVKkIVjgmYh2ELXJSQhxXLAQ7GIwD6FDTISvjAoFPICaUa04/07DgEfEqr8LsYg5wydQARFCNVCwsodjYv4oz/Em7V3FKz5cpN98NFH2OH4RSti+fFTTz9pD61YYRMmTkJ5LA3aiDwjY5EaoF4RLmGY0rX1WaOnG9G9oZsXAkJACAgBITDkERBROOS7UDcgBISAEBACQkAICIHBgAAs35EoAjtIsjAHP5e1ctMMhlfW19m0WTNsy6ZN1gGy8N0P3rPnX33J6kc32EP3Pmg1tbVWJA/FHXh5O1R/A3EIvTcsby1hkw0sU44EYhKP5O5GOlfojCpAIGT0l4A5aEFgyTMcI6CaySvf2RhEXxFxxUIBacxamlvso48/tpdeetkKWH78+BNP2Lp162zqtLusuqral5RzOTntR2JvZJQckKcWIXe5LrvYIeUAeYSAEBACQkAICIGhhoCIwqHWY2qvEBACN4UA5zCax9wUhMosBISAEOgdAZCBFWAIo8077n1cxEYl7kAmdeKtM5+rs1mzZttvNj6GDU4K9sGeXfbq1tcsC4Zw6bJlVlNfb5mqKica3ZQeySwU4EQgCMQKFgIpHnTnEEoDfCNZqAdggDkR4QXIQMLioARiEJ3g5CAJPS7t7gT52l5oD8uOsRnJhUsXbeeuT+0vf/urNTc325Ytj9uj6x61SVOmWE1NrWVz7EksB2fxWe5Tg0N0DEtIyZHdEREQnYWAEBACQkAIDH0E+k0UjuR3sqHf7boDITCyEOA8hi4tt4I/TKXS4SGljkJACAgBIXCjCMSlx0Gm4gjikFqAJLCKIKdKIKxyWKZqtTU2dc5Me/Kxx0FgFW3nJ5/aX1uuWBuIw2XLl9uYcWMsZ9g0gxpsJAqd+ALZVaJGm/NSTlpRtpd5QlyguhHuAAAACXYJA21IoGiTMItwYlXAEuMS+oLkIbU8W9va7UNoEj7//At2+vQZe/zxJ2z9+vU2deo0q4ImYQbEL3cp8aXHZCA5khLnwEYG0P06RPW3A1iEnBAQAkJACAgBITA4EOg3UTg4mq9WCAEhIASuj4BPQHxGGeY0noOTyutnVQohIASEgBC4AQR8SSoIPldu83y0XwedQPBN1ETLQvZ2YufcmjH1Nm/e3fabjset+WKTfbJvD9YqZ7FhRs7uufd+q63jrrzQICTJ5URV2EW5zBAmbSL5FepiwbgYgYKdwxsZVOpZZqKBQg8M0NBbSjQJMyAOO6BNyCXEXG68470d9rfnnrOzZ8/Yxo2bbMPGDXbXjBlWU1fnhGNSDEoIWpyuVZgwsp3UJIzsbBn3rhxslpwQEAJCQAgIASEw9BDoP1Go94Ch19tqsRAY7AiUJxpoaErGUEuFk0XXYMCkpBNLpTwB/PzjP8PCfCUU4nmSLLxtt5GFbK4Q4bkTbYukKKaREwJCQAgIgf4jEKQv5Cw8JKZIKlEuVyAgC21AGsOj9UHK43ymyrINGZuzYL49/dvfWAFhXxz8wl584SXI6Qq7d/kyqwZZxbWu2VzG8iC2yIFRZAd5ToEOPzfVgNab2+Zj2ay8LxejWEja9RWeTjMQ/tiO3urq2eZymhDBrF0+RuKKYyQHPZC07BR6ufyYWoLNzSBnP9oJkvBvdubMWXt0/Trb/NhmmzljptVhuXEul/Ol4SwnjJuhdB853Ruuy4Mqq5QTAkJACAgBISAEbh8C13pPuMW19psoTKbYt7g5Kk4ICIGRioDLvWTeQQxSXk5TkskfJzqcZCI1f/D7UjckDpMXTIpiQX5mOo9MYA2lhklPqIP5Pe9IBV73LQSEgBC4RQhQ3NLxRFKP/BQPmSJ9vpsGQ7DsFZpvSNyJZcnVo+vtnnuWWxZaiLlM3vbt242lsdBAhDbh0nuWYaOT0UHeo1TfSAObmmAUoCU+Ws1DZZEAo//a8jzdvtCQcOwrPJ3mdvvR+gBcPyryvMjHJcW+xNgRSkJxAkLACxuQ4INbJ7Cn3cjPPvvcXnjpBbt4/qJt2rzFNm3aaPPmzrXq6hqr4C7GXCruw6cX4I1LurfcUNYQx8+kNoT0z3WV3b/8yiUEhIAQEAJCYDgjEMbZmx1tfz1C/SYKf30VSikEhIAQuD4C15okkBjkjpd0PhGi9ghmMJzI0IZViOCkM1GcYAALTGZ/7mUYZGuoJ5na+EUIYbScEBACQkAI9B+BKFL5GpsB1xc+3CTiGKQgyULKbTpK4YosNd5yVo3djpcsWkwBj/8OO7D/gD37MnQJK/O2eOEiy4wZg+XKyA+Sy8uGVhxJwSLJRhaGcNpC9Ehe9+H6kvZ9hfdRzG0Jjtix8Ijbr62IH7/8oxl3MgZA1LT3cROEq+86jQRcEk6ysOnyZdsHfP/67LN28uefXZPwsS2bbdac2dZQ14Aqga3jij2T0T90rrFPrf5rOLb/2in6zjwY8O+7dYoRAkJACAgBITDyEOg3UahBfeQ9LLpjIXCnEAhag5A6mD1xIlLirAiOy804WWQ4V5uRF+xadebTUE/HTCEHM4WpTNBKDOHluJBaRyEgBISAEOgPAhSv+GGFMTfHdfKK8pWbaVA2Z0oZyzkJBQ03fvxBGGUxP/jUN9Tb4sWLrcjNNiCxD3z2mf3tr3+13z3zG1v+wH1WB7KwEsthM4kMp8Zh0fNiHPCRgTVRd25oOkLnt3GDzQ/DIcY74EHcuUGJY05s6SsAZxCwBeDdDJuE+w7st+deeN6Ofn/UVq5YYZs2brTZM2djf5k6z0tusKIiFzRC+fUthe0NNu2Gkw/VvrvhG1UGISAEhIAQEAL9QMDfFfqRrz9Z+k0U+iS7PzUqjxAQAkLgBhGgUCxiNpTlBAgTSmoVUgYxnBML+kkm4uS2l5xYZHwSTjLR/Uyb5MEpuCRdvNRZCAgBISAE+odA0O+DVCYrGHhAF7ok/qio5suRKXPxl6VmOGUzCC7mKxSKlq+usoWLF+GM3Xbx9+mnu7BbMnY7hjYhlyePamwE6Zi3fB6x+ZyTY9R2c23CROONMn4oOm/3dZkyH/G6317yhYzLsgEIPpiBeCUxyz/gyy9o3Fm69UqbHTz4uT333LP247Fjtg42CdetfdRmzpqFjUtqwu7UTt4GzUy2h6QjXSYDrPEXrjyofCiHXbft5SxXeVhNL3d2VToFCAEhIASEgBAYqQhwLjuQrt9E4UA2UnUJASEwshFwzUGQg+2FguVBFEYCkOFcxkaxGYWnT4xScMW0DIppUtHyCgEhIASEwC1CoOsVtov2cfmM8rE62LUMoQqOK9JOIKAQyYXItIVXgQ1LsqWcjRrbaEsqF1r2D3/nRNenn+233MsvWQ5plt57r42CZmEHyEOSg04QsiCWg7GAm3QMXYebIFhlxxtLOb9MEsR0CKPXIXCiNJB8fu3sW8k6oKHJ5cafQ5PwxZdethPHjtvKlSts88ZNNmvWbKvj7sYshf/oG/7oWEb4ABdqiPV4ZHJgWNl1uyiHyiMEhIAQEAJCQAgMQQREFA7BTlOThcBIQ6AIjRN30I6gBgonLyWEVeTzTv5xQlOeJCIuzlcY3puLhKHrtQzw15ne2qMwISAEhMBwQIDKbc4w8YQLJ6Dgd+oJjKAvG8ba1hJYQ/4lSoDOFDrpB56LG5TkGmpt/sIF9tvf/c4yuazt2rXLCh0d0CivsAcefMjqGhowDkBP0e0ekuBCTUNelvc1YqWfDKaJI1wIx5AHl+QFoBwvqa3JpdmdBbNLly7azk8+sVe3brUTJ0/Y2tVrbMOmTTZnNjQJa2osx49vSE6yNud2HlE+/mnT0EfTUEGoLHXs3opUhLxCQAgIASEgBITAkEdAROGQ70LdgBAY5ghgklKAJuHRo0ftk52f2Ddff2NNTU2uObJ06VJ76KGHbM6cOdipsZrqD5wxxikTVlwlk6dhDpFuTwgIASEwKBCgzCUJCGN5JZBVJAKdLCRJCMlMcq+E9cdcGktmykU2yL98phIJcc2dOLh8Fnlr6mttIcjC6nylFdo77ONPP7V8ZZVVw5beEtgy5HLZTCVKJUGYaJZT/kdH6R/JwxgaRwReR+3zrixdY0csY8DP3sDYyr5qR7wb443pgFuSlPgSC/6IS2tLi3388cf2l7/8xc6eO2uPbdlimzdvBkk4ByRhLXAOGohcGu44gDB0XFAgN5pxdU+WjciIV1+tUrgQEAJCQAgIASEwfBAQUTh8+lJ3IgSGLAKczFEjMDr3YwbJyc/3R7+3t99523bv3u1k4S+//GKtra2wUZW3vXv32rvvvmsPPvigrVu3zubNm+caErEcTjZjuZgO9dDDiKl0FgJCQAgIgVuCADXZwC5RpodNRxKKzoPhB0FIr2tzM60TWtRoS9IZ7BFCgdyJL5CNo7AL74KFd9uf/sefsOFJxvZjg5P/+q//tD/8HhucLF1uo8eNR2EgC0GQ5RDfUeC4QZaLZik6QSxWejuKsH+YheYc2+YpEBdqRFqSbn7BQwgNrBkub8gleW8oT1diEnGBqqTmPMNxzVtxBi9o0wfcSObB5ywrx05ihvhSwXFgGhrkuHT5on3y0Uf217+CJDx7xtZv2GAbNmLjEpCE9fUNgAhTABKAiRoobRsSt6Q6VBL8gZP0BnU19hb7bm/pt7ixKk4ICAEhIASEwAhAQEThCOhk3aIQGOwIRE2FeGZ7i5hAHoPB9eeff97eefcd93NJFbULSf7Rf/z4cTtz5ox999139tNPP9k//dM/QQNloeWwMyZdB5aqhckhJ1aBeIxTOZ98cV7ksyJProMQEAJCQAjcBAJO+DhZ2FVImQQiQ1h2CPV/UmP04AdZXAGyDwyfa7JlsfNuthq7HENrcNGChSAHf480nbZr5y670nLJSv+jYPc98CA+DtX58tn2Aggy5M1QAxGyP5fL+5lVcrdkEmokGwPBhkDW6fWCPHRyEsRcNo+IOEow58051NCn61lLuA7jFBrmdF/AiO0kx0qsEo1M0q24VxKEVAosURuTDCvD4edy4/ff/wDj53N27uwvtn79etsCbcLZs6BJWAubhCRNg7onYAfGxBw1slZ3PRrX2330FhYy6ygEhIAQEAJCQAgMdQREFA71HlT7hcAwQMDJumTS5huUYEJEMpBahO+9t8N+/OFHq6yq9GXGa9assUmTJtnPP/9sn3/+ue3cudMuw1A7zwsWLLApU6bY2LFjHRUShk4QsuwezklJBKfJyR5JdCkEhIAQEAK3AIEy7xRFcTqAchjXrthWwc2qQH5loCUH4gv7GYMAwxLmyjw0CxfYHyv+YMW2Nvto16fWcuXP9n9DA275kiVWP2q026zNgyQk11UiqVbE5lcYA4qQ//y51iLGFZJu7pCGaX3ooVYe/rLYUTlyZTd626TZbjQzqu9yfkF9wFCOa/ixVQk+Gd4DNf5A6nWC2SQp6uQqciAUGGahUdlmly5esvfe32HP/u1ZOw8N/CeeeAIk4WabNWdO2LgEzCLpyDDusvpQLnGQEwJCQAgIASEgBIQAERBRqOdACAiBO44Ady7mBIs2lagxSEPs1BJ8//337SdoFdbU1thvfvMbt61EMpC7NNJO4cqVK5003Aoj7efOnbN333nXlyCPGjXKJ4icd8W5DydFUXswkoNlTZY7joAaIASEgBAYgQhQLlNI4wcOLLB2CMuAOSRxVShCQzCbs9psrVl1pS1ZtsT+Kf+/rHHCBHvzzXft//2Xf7G//8Mf7MEVK23s+EnWVurAcmNoImIMKbr2eafl8iALUUGGFfiAQEoQHtbpkHNsYFw32q6fnRHKTQr2k1fZS2ndamOiGJC0A/Sdh0UdQ1KIULX3MMeK2oMYOwsFEJzMXlGyixcu2ltvv20vvfiitbe12mOPPWabNm+yGTNmWXVVNXJ4SpREsJEd9bLaMDb21VJPqoMQEAJCQAgIASEwghDoP1GoT48j6DHRrQqB24uAT4A4OcSUhbaVClhWvAeG6786fNjaWlpt5caVtgm7NHLzkqqqKl9mRq1BEoa/x3I0Ljv+CLaYDh8+ZEeOHLG7pk0zGDH0OSE1EzOYNEbNwqvIQs6NJM9ubwerdCEgBEY0AhSzgQcLxyhz/YocHRJQRlObjsRhJ5iwzgrK8DaQYx2Q4XlwYhmrqq6zOfMX2p+w3LgWS4tfePkV++d//XdramnDGLEZNgtHW7YzEINZEIQsjOXlWDJJNiw99u9S2FAlEGShW7jxCkcfMGYhgA2K/thz1xknkMPb78l5DzFfH+eQviuSCoL8WBY34SpxPTQcq80wjqNjslyYNgq9BlwzfbG9YMeOH7O33nrLXn1tq495Tz31tD2ydo3NmjETuNWE9hAPaB4aNypxtjHYbEw6wOvTQQgIASEgBISAEBikCPR8N7mNzQyfFG9jBSpaCAgBIUAEfFLWx5mG6GlzsAT1hhwmbJegFXHo8FeuJVhdU22rV62y+XfPd5KQpB8ncNQ85IYm3PH43nvvtYaGBrt46ZIvRz6H5VahvGBU3zUWk0leMg1EEcE3gPJWD4IQEAJCYNgj0JesDzdOegw6cpDH/JXijzQY/JTbYAbxw3Jj2AvM5yp9TIDuG3gtyv4sdjuut7sh9//hT3+y3/3u93bxcov999/+Ytvf3GanT/5szS1N+NjUbm1Yosy2+BJmLEPmkt0izqyH7GF32c+UPV6JmY6O5+gPIb/q2BcO6fByQUlV8ZpjIpk96EFCEzLrLXM9SN/lBOQgGp/FrxN4UXPw+x9/sFdeedWee+F52C0s2VNPPGkbN6636TNmWBYburA4koy0RwifX7N8lkNtSvaFnBAQAkJACAgBISAEIgI93opisM5CQAgIgYFDwCc9nMRg5kJFCRJ+586dxQSo3SZMnGBTp0715cfR5iAnWjkYY+dGJSQOlyxd4kQhW7xnzx67cOECJoeBJIzaGYxjvqC14h4GyQkBISAEhMAtRYCkU+8/JwgRVybpkMw/5HAjDlf140JbvJpiB9+Kzvaw6UauyjUK+REpR2KLRWM58sRpM+zv//5P9o9/+oO1NLXYn//8b/YCltyePHnSSh3YuATJuHS5xI9QYMrascFJoQNEIclIJ9xQN0iyEjXrODiEAz1d7oYJNBbUj58TdkGrng3v5HgIW4Kw2OibmFADMINrWlLsQPs7QHh2XGm3AkjSo99+a8+/9KK9/PqrVltTY3/EUux169bBXu80q4EmYR5YZXPALtnAhGOs9w6xv6qtXbcunxAQAkJACAgBITByEej30mN/pxq5uOnOhYAQuIUIOHmHyRqnSdT2aGq6bB1tHSD1SjZmzBirh7YgtQdJKJIYZBqeqX1CsnDunLlWX1/v8YcOHcKOj5e8daHcMCtyGtLz8ZrTJDieSSiGKx2FgBAQAkLgdiNA8evabThD/gbyEPQawqA/F+Q6hLKTiSTxsJS4IlNAYsh7LBnOIF0xW4kVyUUbN3acPfPkkzZ29Fj787//m/3l2Wettb3VfvvMMzbtrmm+23EFSLKOjnbfqIQ7B1Peu71CDgX8+XjgIwRieqULPfx6B95WMrJcL+k14lEC/n2sK49TSI7xjuMh294JkrOz0GkFaBJ+fehLe/aFF2zHrk9sxl3T/b5XrFhh48aNd9uMYEHxVY3amVhuHAD1MtwmI3AkSRurYaNYvpwQEAJCQAgIASEgBPpNFIYXDgEoBISAELh5BDgp8skR7SYVinbx4kW73HwZSiUl1xSsran1iRNrYlpOZvwHPyd5JBO59Jgah9wBubW1FeWFpW0xj5/jNMjLYDn4wwRM8ozoyAkBISAEbhYBUmWUzr07twPoUSENRX8k7TwE2XlNy3kksyCdceZSZOqbc7de6tSBNKOZCowXnViaPGHSZFu3caNlqirtP//tz/b8c89h59+L9off/8Fmz5lt9XUNVpFjXqy/xX8ukwN/xvEBW3ugAb4UGYxhMGvB9qccG0jnwT3iPILxSThOPpZ5OA7lvKl8SVggJ3lXyI9/J0tJBPol9AiLXIpdABZYLk1NS7aPpCmsLXZ2tForxscDX3xpL7z0qu3evdvmzZxpz/z2N7YCG3yNHzueIOLeoHGPMZHkaGhLGC/dDiLb3KO9SMVG+1EHISAEhIAQEAJC4MYR4Mc3H0lxKH+IjEMrXwfS/jAQ9wzsu9L4XtF3ilsa03+i8JY2Q4UJASEw4hGA8OvE8jNOAK+A6GuFfSlqe1RXY6dGGKDnhIoClxqEXFZMWctrTsyobciNTbJYmsXJXlNTsy8zq0U409OOkwtmCm3kK0/mKKwHWOiO+H4WAEJACAxjBChUKWX7cE52peMg27lTh7uQt8LXFlNY9ywLxCEIvw5o0hWwjLgStvdy+HVAs7CxcbStXbPGGmpr7D/+49/tTWzqce7sOfvHf/xHbIK1zKpqa626thqaeCVrg3ZhZY7jCipFUzm6cGmvb3zVczzgG3/a9WxS6l6ZtVvqnnlRjpvCiHUgPn2LTuixBC7DTsa7Dm5oQgIRWpVkOXnfv5w9Yzt3fmKvvPa6ff3jj7Zs+VL7zeOP2z333GeN+GjWCYIQQyZ+1MTkTUaHBpbbj3piO2K0zkJACAgBISAEhMBNIcDVEW7+CgM8P3jSz8G+gsow6bcEXvqgnJy6vUAw7s47EYV3vg/UAiEgBCgcMTmk2agKznBcqHogiL4uMRUJPrdphUkOZWx6CTKmXa5V6IbgWSTScHmyk4y4DiXCQ39aQIcgHYWAEBACQuCmEXDhev1SIpEGYgtffTw9ZXiQ05TaKAf/3MQjw5dspCjwow8+BuXzlX7NJbWV/BiE/LW1dXb/Aw/aWCxH/rd/+9/23gcf2nlsjPUP//gPtvrhFcjcYNX1dZbBbsjeQhRVxI7KWXxQKoKcy3LsCc0ot921ARDmnJofGIWAdDqGe4E4pMPLpSC4fH9JUsYhXwznWAU+kDeLYGKApdYZWhDEfUKzMIv2cSw7c/KEvfHOO/bCq1vtwvmz9ujatfbElsds/rxF1ji60csMpjkwbgInJz9dax73xjZ6+3jwBuPc5XoP7YqXTwgIASEgBISAEOgbgTDUB+u/fK9xtRa+GnCAxyqG6K4agZN3hBg/WM5dM/AbbFEf70I3WIqSCwEhMBIQuEog9nbTFCoQpNzhkcuBucwKUycG+vIzzmv8qwzzYlJFgpDXnGjxRz+XlBXwFydf1CbsgAYG53HucA4lJtc49bzuipFPCAgBISAEbiUCge5DiZTbOJWvKaQZwDCX/fQxDYU37fMhnMtpqV3OH66pKc4UWS4rhqZgNbTKa2qqbFT9Uvs//4//y0ZBy/DNt960/+9//9maL1yytY+utUZkpD1bLs0tYUOQbJ7jCDZOod0/rxv1sSlJWzwwxHh7SOT16jw9W8v2ph3KRVwMjWNT/OjFlCT2GM5l0F43d32GliX4QRCYWH6McbGt7YqdPHbM3njzLdsObckW2PDdsHGzPbVpgy1YsNhqRjX6RzXu8Ixbc21CohOajskJyUK/KTYGI2uoKt1Q9/ttXBWqACEgBISAEBACQuB6CPA9JY7zHM85V+U1x1ae/aOgj8UI4Jh/g+7Gc9xgBT2S95so7FGOLoWAEBACfSJwvclHVNNmuiImRUXsVMlzAT8XpJzkJI5aFbRFSGGZRTjtN0VBHBjFQCgyzrUp+iGIY106CwEhIASEwC1EgIIbgj5qdF81NkBe+9Lj5G2YxFsFEndCu853AqZmIbUK8RGIjBhfYpm0iCEi55qJsDsILfR5Cxba//yH/2mTJ06x117fav/y7/9qx06dsCcffxKbX822CpCKXJbbjl2QObpwvGjHJiiVldXeuPBaH8pGtLvIs8VrH1r8QKIPofyRwUyc30LXpUeHm2cganUs4Oc4x/GO+XDm/VoJ4xc+chWxzLoF7TqMnY23vr7NPvnkYxs9apT9ccsWW7Nqjc2cORtakvXQkvTCQDZyuTH8JFupmQ/cfAxldKjQj2GCkmoco0OM+3QQAkJACAgBISAEbgwBJwnxQhBH1xLfV+BIEHJO6kotXAXBd4dIGKaqCEO1H1Ohd84rovDOYa+ahYAQSBDo+voSBCk1RKgNSEdikIKVy425RIx+urjzMe06MX+hAF3C5FdVVeWTIy/XJ3KeRQchIASEgBC4gwiUZX1vbeC7MUkynqPcjm/b8RpR1DZnsk4cqEFHko9LkLl82Hc1BgFYC5uEdy9YYGPGjrXx47EU+b/+w559/gU7d+qMPfPU0zZ/yUKbMGESXuZhmqIiD409bIAFojGMGST+Eu3ApN74Ps+FRHQkMIOL5+QyJsRlaDqP+NGuRggI9+b3yCCObTjCFiFt9HIywfvr6EBYe7u1XD5vew98bi9vfc32fvaZzZ431377+BP20D332Hi0P8+NvqAV6Zr43hQQkKwK7cjQPiHCSig/8pdhcuLBSYN1EgJCQAgIASEgBG4ZAhjH45sB57Dp9x5XbEFFbq84XWF8x4nndNwd9IsovIPgq2ohIAS6EKBQpQCl4w7GNTU1ThY2Nzf78mHOsZwUhBB1oZtMyDix4sYnMR2vw8YmmDwlWoVeqA5CQAgIASFw2xEgidfTRaKqZ/hV18gbKDr3hGh4WSRFvtN00JhjeRwtOkGGUfucuUiMVcBP0i2Xzfv1pClTbPNjj1l9Q7298vIrtnP3Ljt9+rRt3LzZ1j/6qE2YMgmqiMhLcq7QYZ2VedRFsxeskaVy5KFLzjhxjOnpPMQbGYjEEI/EzJb80rZzGejcoWsbhHS+mQmyF0rt1t7aZid/PmEff/Sxvf3223b2zBlbs+Jhewz2CJcsWWYNbmsRH86wI3RngdqJ+CX2fLvaHFvJMRN+tM/vyxvLgC7He0qG1K5A+YSAEBACQkAICIEbQoBDbDQpQuWWK1euuNILN+fkL+3iSMw8PjSnIweBv99E4WC8mUGAp5ogBIRAfxHA5K+EJcecsNCGVB00Qqgp0tTUhCVhbf71xbU80pO0ZGZzFrtANjc3oeZOGzNmNCZRWIoFDRMK6Khx6M1C+u6TvCCiJc/622nKJwSEgBDoQsD5qPjm2xXsvqvkLAOQ1j/8wB/JOU8cma1w4UemdfmNtJ0YK5jZd/X1D0JY3gOCMNi2xSZW1C5EOKsY1TjKHl2zFhqE4+2dt9+Bjb/t9q9//rOdOnXSnn76GZs6dZrlQRDmSLR5HeXqQtvCpZdF+7lMU3axnX4vqcxMUE5HD+lPEp3UIITmIpdSY3yKkwkm53hVhFZ80+XL9s2339ibb79pH32806qrKm3Lls227tENNm/uHN/BuUitSqTPYRdFNollowB+bQtLj1FlKVnGnMHYmgyVTAXHcdBPfhUOoX2Dc6qSaqa8QkAICIFhjgBHDJfpw/w+h+Pt+bCPA99V+GtrbbXt27fb0e++swcefBAf+pZgnjrG8njfcDMhKRDisJzuey/vDj4P/SYK45fR1P3JKwSEgBDoFwIUpqUiNCxgXJ7E3mhM7Orqat0W4YVffrHLly75pIeFY8qTTLiQHpNBuqNHj2KJVpNPnBZwuRnIwiwmR4WOdsvnoFmSkIacLLkAxpn18I+TrbRauBd41SGK6qsiFCAEhIAQEAK/AoGrpGg6AP6rNeHSCZIKGIQfxLefSQ7ymqb46Fy7EJG8hGR3O0DUNKypr7Uli5eALJwAu34z7a9/+6u99NLLeHk/ak8/84wtXboMS5THWyXJNWgUdkJlkUuCfZmzlxbax+XBHESYhuufQ02smQ3ij6xdaBzbwHvipWtUYqzJYNdDkoNeJMg+pMZ1MK/R0nLFzp46Zbv37QGh+RbGte9tOtq6BdqPD2GCMXnKZKuCDUVOLpwCZX4vnK0ItaHRoeykNd4Ccqo9XHfiEJHM7q7siQE6CwEhIASEwC1FgGPENRyHCI4blO/044+jjQ8xEN5BSktWXwPB2xh1nb5DzZxT0jQKU+Yw/6QprcOHDtvBgwdtydKl9vBDD9vdMCMyDu8jlbS5zw9/zMcXAuZNqvBT0s3+PMRnwEtG2gFw/SYKrw/TALReVQgBITAsEHChimkd5QrtKY0ePdomTpyESVHezoEo/O67I7Z0GSZy47JO+jE9J3BcutXc0mJfHPzCLjVdQu4KW75sudVU14B05IQOEyikdbuGSBsmdawl2DRkfNQ6GRZA6iaEgBAQAiMFgeRF1E8k9pIXaufqgEEFCLISxgn845fHyty83VWNXZEbG50UfOPNN23nxx9jie9JaOuts/XrNticu+fgI1UDPjDl/CMSGcjOEj5kYYmvbzICkg5sJCwbQmORf9iBOZrMYP2cznHM6XKhkSjCJwCu5ce24a2fqRhMG0bnz1+wr78+ZB9+8KHt3b0Hy4+LtnL1alu75hFbvHSJjRs3ztvEj16cPHI+QRdKpycQkmxBKpRJ5ISAEBACQmAIIeAjSGoYCXIeAfxnOOX9ELqfkdRU7x6M0f4ZERf5ykpb+fDD1tgwyvbv32/fHvnWfoByy/QZM+y+++63ZfhIOW78WB/fC3hRYL8iu/e1r2BwL+bHfJ/xUjlvDTb8BwLXfhOFA9E41SEEhMBwQuAawxpGPlCA1olJF0m9qqpqWzh/vk2cMBFC9Yi9t+N9mzdvvj14//1WBfsOQXhimRZ2haQ69+5Pd8OmU7vbJly6ZKnvCpnDpLDb0mNIXk74woQKwhjX1EjkcmfLXw/na7T9elkVLwSEgBAQArcZAcpoyHKKeH/Vxnu2+xHGELCF1L7L5jI2DmPDqjWrbBqWHM+dM8e2bXvdnn3hOfsMm4X88e/+6NqFo0ePsZq6Gt+J2DfRAplXic20OEkrUFeRiowZ+IrcAIUmLkDggUQkMenNQOVB6w+UIr9oMQ/GN2oW0oh5JwootnXgQ1eznYHpjL379tlbsEV49Mh3Nu2uu+xR2E986KEHbfr0GRjX6qGRgLxOEvJuSH7i5liOzxzDeBYAJg78yQkBISAEhMBQRMCJom5yvEumh7iheFcjpM0c7tFJRcxl+WGQ7wYTMJdtGNVoixYttO9/+MF279ljB/YfsEOHDtmChQtt9arVtmjxImvER0xqIPrHTeTzlwmWh2fBzZagvKwNLHXX79q83Wy7nBAQAkLgugh0DXK9JoVQpUxxTQz4s9DmuPeBB2zehx/aseMn7OAXX9iLL7xoLdAeXLRosTXW1VkLlhWfOHbMtm7daoe+PGRXYPz9kTVrbN7d8ywPopEkYdg5mZMolI3JWhC+oS5qJLLSuHSr13YpUAgIASEgBAYhAnFM6XobrfAX63DNWOiSk0vjwOLcGQlEcnYZ2Aaqrq61GbNm2pPYOGv23Nm2bevr9vnBz+3/+ed/tvvuudcexsYh8xcstLHYNbmmtgZaAVWBAMRgksfY0Yl3eK8JB/+2jxd4K5EaDJrsTMyJAseeLA5FmtboxGYpaEABm6a0NrfYSdhIPPzFIdu9d4999fVXaGaFrVix0tY8sgbLpJfZhIkT8NGs0klOHxtRHm0TZqDlSMKR9XsbcKS2AclDEqJyQkAICAEhMBwQiOPccLiXkXEPHPPpuNogizGdq+Top919/kaPHmszZs6y5cuX2+7du+2bb76xYz8ds7lYisyw+VCS8fcObugJm8Mc46nY4h8IfeXAwD4T/SYKfcbtUOggBISAELg5BCgEy8u1MKnjsuEpkybZaiy9+vbbb+37776HUXcsETt50mbNmGm1DXUwENtmP4Eo/BZC9uKli1iqPNHWrIXBeizRohjlZNCXeeGiWMCEjRoYcDy68PVE/ErjOhkep4MQEAJCQAgMBQQCRXZ1S0mWJbLek2BXYGrecbkwGD2SduQN+fKew5KgydOmWB3Gk/HjJ9iXX3xpO3futI/w++zLg7Z48WK7H0uD5mADkbum3eUa63zhz1XkfAyJ639J/vFtniShDzM8gDgkUchfgfUjTRE2eFuartjxk/z49aXtP7Afk4Rv0ZYCNim52x6EBiHtF02dMtXqYFMxl+cYxrJBPrrjkiN6UiwlrjiF4B9VKPEvJwSEgBAQAoMZAY4JaF8yUkVPLy1mqsS5N14jp2R9RGZwnZO+dfNYnF+yn2Jn4/2jqqbaptRMtrFjxtqcOXPtCJYiczUDCcNvsYnZTJCI92P13EJoGk6kDUO8pzA7h/5OvtvEsgborvtPFA5QA1WNEBACwx8BTuTcjiBu1QUiVK9pi2nVqlX2448/2o7Od50k/Oabr+0bCNUsNEe48YmTi5g5jYfAffqpp0EsrrJ6aIhUcJkW5Sm0LMJgiqXNsOnAOjwPIn1ZMmdd8MeJ5fBHWncoBISAEBjmCHAQgfOv8NCwK8aPRAinjR/uAuyMW6EIrfM8vvCPsVp86afNIJKD/Mq/47338Hvfdn76qS9FXrlyhc3AMuBRoxpcyy+frwxkIeqh2QyOMz71AyFIco8foBAEc4ZFN4vRio1KmqFFyM1Tdu7ZBQ3Cb60DWvGzMFFYs3KV3XvPPdh9GQQhxq88ljgzL/QRUC4IRoxbLJNjmrcdYZww+G36LAQR/Od9MZGcEBACQkAIDFoEKLvTkvrXzEG6UYuS84O/bzkcp3o59jlNlWA4BwFYZZMnTXH7wyQFv/8eCjEffQzS8IAdPnzYNQs5B7777rvdbn8NNAxZHof89LNzu4EQUXi7EVb5QkAIXB8BSs3EccCMhB61BH//u9/ZtGnTbP/efXbk6Hd2EZubFKAhWIAWBjUvpk6b6uraa2D0nemoSehaI5iwhalUUP32Gji4oq5CoeDLkrmUuampydra2mL1OgsBISAEhMAQQCA9ueIHoPTLM+P8oxDuw4eXZIzxsQEJqd1X6ChYDmQdWD1/+Sb5NhWagxtGN9rMOXNs3/499uXBL+3Lw4fsi0NfWCPCx46dAO3DMVZfXw/SDsuCMLBks6wZ4wy0FsN3f5xA7tE2YaHYYVeamu3ChQt27vw5u3zpkn8Eu+uuKbYY9nSXwi4RNQi4wUolNu9qR5s4HvFufOkS6iiyEm7OBX8WxCc/hLljtT6woXaObal7Dgl0FAJCQAgIgcGOQHosY1vj2BXbnY6PY1vPNDGtzoMHgdhXfFEIH/swTmNr40D6+pDuCi3V2IBz7px5sFE42mbNmm0HDuzD5mZfO3k4/+752MxzqROHE6BhyHePgXQiCgcSbdUlBIRArwhwcxLaeeLuj5z7pO0yUMtj/Ljx9sB999mZM2ft4sWLmHwVXNti9JhG7BY13iaBUGyEJgaNztMFA7IUxhTK3HUqbGzCOJbPeugOHDjgdg9pyzA9EHukDkJACAgBITCkEKB8j+SZc2gJkVYO9AQkEWk/kAbHoVWI8Yd2A7P4yOQv9Bgf2gvYHKum3mZg/OHGWKfPnLafj5207779zsk/Ll2ugK1AvvR72ZgIOLmXwXJhEoa4pv1bmtHgJiTVNVVWC9u6o0EI8gPYlImTLIe0x0+csjPnzjvpSKKPbY/jFolCNp9Npk1CEobuTzQkmZ5Zgit7YoDOQkAICAEhMCQQSMtyDh9BoYHnOD+Jc5TwgQrjDeLkBicC7BvaCw7ag/R3fbjkjsVutxDvHR5O+8Vcg5CsHGhvb3UNwsuXLztR+N1339nOXTt9tcOmTZvswQcfHFCyUETh4HzG1CohMKIQiAMeB8Do4rSH9hmq8GvAkq+Zs2dbCdqAQQhjYMUErBK/DDY/STuYe/fZVdqwO/Nw4sYzdzruwI7JFMDHjh1LZ5VfCAgBISAEhjMCIAnJsPEl3Qk/DDZ8SffxggSik3VUMwQ5h+XJXCJciw2yco0VVo+NTdpb210jkel8nIKn0F6w1rZWX5ZMsxk0PE6ij9qK/BCWq67GBirVGMtqsAS51X748Ths7J5EnUiLdEiGPJz40RecTwwZlAyGcZwMdSaBMbHOQkAICAEhMCwQaG9vdy10yvwxY8a4nbphcWMj5CbYb5Ec9HEc9x3DCAH9/DDJuCLmozGMZ74HUBmmCSsRzp8/H36/nPc8M2fOdM3CgdQq7D679qbqIASEgBAYfAjwqxp/GDGv37gecyiqfNP5nAuCmUbiWRZ3mKL9h1wPovH6FSiFEBACQkAIDDYE4qcmyvog9X99C52oS5ms6BpG8HEJ4VhMbJ0we+GmMUAg4i3fzVwUoDV44vhP9tVXX/uS5RmzZ1pVvtor5nJmfqAiWYiBBprzrCVoCnJKwDq8rV4ZyrNCucH9uYdyZnmEgBAQAkJgUCMQSSQ2kuRRdOfOnbP333/fWltb7aGHHrLp06e77VrGRwIqptV5cCEQ+zT2U7pfQxj7Onyo5OjvHyldu5AWS0q+yu0kNjzj5iatrVecJJ4yZYotW7YM9pKXYnly44DesIjCAYVblQkBIdBvBLrG0BsugtOxstBG7kgMkiR89NFHywPwDResDEJACAgBITAsEKjgRI2ahbwbkHvRcVExv/l3YmMSaqMzjrsYc2MRasG3XGmx3bs+ta9++sGmzZpjq9Y+anXQgHcNAsSTKMwwG8sgLQiP70GSVMDxiauYQ8VMIycEhIAQEALDHYFIKqXvk2TRiRMn7OjRo25qiQoNJIiqqqp8HsO0afIpnVf+QYQA3yc49uMdgP1FQhBfDL0P/ToZ6GmepIR3i9bWNmgP/oKNTL6yU6dO2S+wxz958mQnCB944AHYMp7pS5K5MmEgXf+JwhTzPZANVl1CQAiMPARSc6gbvnnPy0kfJng5aBG2Ycmxf8FBSVzWXIMlZVUDLHhv+CaUQQgIASEgBK6PANcDd3NdhJ8H94wup00iSBSmsvBVlzEk+Jzk4wUS0A4u3v79pZ/UYhZjSTuWHxcRXoUxpZZjCklCxHl5oZDABaKNnZgwBMcyYJeX9ow8IByTyBs7edZU428st1ILASEgBITAgCBwtZwPY00Ir6GZinylKzHQ9BJ3vK0GUcivSV3jk2T9gHRVvypBP7Kj+I6AP747cGUbPxoynJwh56H8BNnS3GKnT592U1hffPGF2yWkHf37YJefBOG8efN8+Xl1dc/+71fDbjhT/4nC5JXmhmtUBiEgBEYgAjc3oN1Mbs8Lme22qKC2EadnGU7UuMwsEeYjsFN0y0JACAiBYYSAU3k97ocTr64R5CoeMZWaublUOJUc/jBxi6YDK6BFyJAsbAviTR8/+DkV8KVEYVOufEXJ8pwghJmfb4TseookCJGXYxA37+LyI14xWZEBiPU89P4KF8e2X5FUSYSAEBACQmCwIODDjEvwMN5gDKjg+ICzm0qCx01c8MMV/nze4mmYDmOQjy0IkBt0CIQpJfqW7wdwPLKn2YdcieAXGOtb267Y8eMnoEF4yDfW/Pnnn622ttZtEC5atMjmzp1r47FZJ0liuqB9CnJxgLu930Rh8nh743UQAkJACFwbAUq2Oyc1qP3h9g3RChqaD4MxxDcnfbigYJcTAkJACAiBoYsAJDn+SPbFN2kI9vheHm8LQX2Ke08b8yIDEyaXJS4zTtkVYji1ApnElxZxNsAPT8xGTUL86Dj2BBKREWwfTiwTv0A5MoBhfkCZuI6V0pu4PoJ7Gbs8ZcymsxAQAkJACAxKBDgQQF7zBBcJICeEOFYkP/+8BD+VG8LuuGGkQ5DcoEUALwRJ/1F9MJK/nG9egd3Js2fP2Vdff2179uy2I0eO+PsCl5evWLHCZsyYATuEo4xapVyq7A8G+jp0d1i6PJC33W+icCAbqbqEgBAYDggko+GA30oYiEkQUmBziO0swRA9HO1ChQndtUZctvtOtd2bqYMQEAJCQAhcBwFKcefbkldqT+6iHfIb/4GmY2jv8t4nXpyteSFIQ7GfzN4CJchLBgaKz+0K8iqDsQVEYnmYQJISX/AR0JkNdTGHE4SsxKNYDhwCPUVyGS5CnpAgdURwmQNNBXf3xoK6h+pKCAgBISAEBgsClPHd5XzQGMMohTHGN8ByosmNV/hHKI4bmVIYe0JOyfo705ux3+K5ZysQznEd/cg/rmbjUmLaMj4FrcFvvv3WDh06bMd+/NEzLluyFDYol9mCBfNtwoQJMIVV6f0fvh2iv9Hv4d0hqcdfVHrWefuu+08UDnBDbx8EKlkICIHhjgCNzvukDccKTNxIGvrXOQZTlvHcp/NEnCF6uqCBmGTgOO2yEB734zqeWV46ntcp58V5MTwwYXQ9r2O4zkJACAgBIdAfBLpeWRPZ3WshiAsqfTgHmdwlmYMvLA0OZbDMoEgIrUEGUUPdZ3OBOKygxiGz+RIkJsBFomkYInptRJ+BXqsf+kyiCCEgBISAEBj0CFxDkHMw4YcmjCc+onDM4NiC4YPa6gyTu9MIXKP/yk1L0uB06tTPtmfvPtu7d49xiTF3Ll6A5cUkB+fOnmPjJoy36uoarHzjagT2cOj78GKRFMjn4g50fb+JwuQbaBkOeYSAEBACgxYByFd+raPafhxmg+YJ54P45kPhG2U60gWtkeRuODhH6cxMnjYk7kYahoguCJCOX5NYOOtmNq+Iwt4djduyXbyIYcEX5SvjvG0hg45CQAgIASHQDwRc/iJf0NqgXI0h3Qtzme1BHBdCGtdEdBGNl3i8yFMokwAsp8V1Z2KPyFcKIW2sJ4j2IN+jXA81hrBy7T0uy+EpT+8tTiWQVwgIASEgBIYBAom0x4DicxUOLBgjymOO3+GvGDSGARJD7xZC3/n6NUzi2rGB5v7PPrNt27dhw7N2kIMLbOXKlTZ3zhwbNarRKqsq3TRW7M04LwyvHyjLJ4l8xwhI+PvIAILSb6JwANuoqoSAEBACN4cAJWxg5MqTv1AgRLNLZ0rgKKaDL5HJnsyz4ysP2T4as3fWj8k9S0wZw3mmUA/hPrAndcc2eKEI681wfSyNaZIiPLkOQkAICAEhcPMIRNnca0mU8R4RjvT6izkFM9nBOI7gkvKZBCF3Lgxag56IWbocx4Kuq9QokwqUVwgIASEgBIRAgkB5zIjDUDwLoSGDgCuIwNxVoVCwuro6u//++23mzJm+WcmE8VxiXIXXiUD7lfsbdxe7Oobx2jdZ4xnvE+WPkAOEhIjCAQJa1QgBITC4EEhPFqnOH10M97MzdViqDHKwWCg6Sdh6pc1++eUXbGd/yi5duuT2J6guPnHiRKPwbxjVYPl8Phbn51imC/hk4kh/NHDrA0GSo+cg0PO6W8G6EAJCQAgIgV+NQJTFvWWgHKZpCryO+39chuzcIIP5Ch/f3nmZuPCqH7TGe0b3vI55dBYCQkAICAEhcC0E4mema41b18qvuDuLAOeWVVVVdt9999nixYutFjsY12Bn47jZGVvHeWD62t8ZOE9kePJhkl8l79S7hIjCO/sMqXYhIAQGAQLpQTj645kzw2KxZO2FDjtz+rR99dVX9vmBz+zzg1/YyZ9PWglGaquxO9Xdd99tCxcutCXLltq8OXNtzOgxbguRJqso5Ok6fTMVsytXrlhTU5O1tLRYPpe1RqSt5eCBQYEpWXckCOlPDyJekA5CQAgIASFwGxBIPhpBezC+o4dKnClMZHmgBhnudghJIGJDE5q1QIKQPDlSjqflebdIXQgBISAEhIAQ6AMBjh38yQ0dBMpzN8z3+BKRy+WwxHiUz+k8Dv1ZZBzObnMSaeKbQ3xXiP1OG8hMl3YxTTrsdvpFFN5OdFW2EBACQwoBnwqmJ3YU5nAFkIHnTp+xra++ah988KF9e+RbawbRV4CWYQH2J7LQIPzppx/twGcHbMH+/bZu3Tpbt2G9jR8DstByWJgWBvsOpD116pQdPHjQjhw5YhcvXrSGhgabO2+uLcXOV1OmTOmmjcgBQSThkHqE1FghIASGBQI+GnS/E39fT8JxCi920lAzAABAAElEQVT9OGdz5Rd993TPVZ4gUJ7LCQEhIASEgBDoCwGNE30hM3TCvQ8xlyTJxzlcKZlLxjkdzU65JiFJQqajQxjjeVUO84jkgDhEpEMGxN9vonDgmzogeKgSISAEhiEC6elZd9mVCOXknj0dhTEFNsNc0Ju1trbZxx99ZK9u3Wo//XgMgr/CZs2aY9OnTTXDsuOWlit24sRxO3vmrO3atctamptt/PjxtgoGa6trIGZRHgeK09BIfOONN2z37t2+ZDmfz9mPP/5ohw8ftlM/n7ItW7bYVJCF3JWZ6TlYlFXPh2G/6JaEgBAQAkMGgW6DBy/iyMIxg5cIK4VE3ZLyBhF/VRjD5YSAEBACQkAIAAHnglJIuFlcXvv4kkRgINFYkgJpkHmdJGR/sdPwTtCJ3Ul8tRgvYdPY53aIzSYmrzw9U3POhwegiB/tGnLjkyLO1DqsrKzE6jN8kISf88JeiURWeRtcv4nC29AWFSkEhIAQuC0I+KAKIZ2yRe/+cmUu1HHFUTq6oPMNFfGiHfvpJ9sOgo+kXl1Nra1cvcpWr1pti5csgVp51rUNvzx02N7Z8a59+eUX9tU339inuz+1BYsW2kQIeBKLra2t9vnnn9snn3zidgyZn3YNSR6+99570FT8wMnFxsZGX4acBVlI5y8OeiuIvaKzEBACQuD2IZAaAq5dSUjon5TgDVd40Yevm7iO5XHwob9b5LVrUKwQEAJCQAgMQwTiuMBbi2MCwoLxoTBXSUcxSUymcYTIDGLHvgUh6GQeOi28I7D3EsKQvYxLj8cEz5Mn5zaQg2fOnPGVZzRRxTiat+J8kCvOpk2bZjWwcziQrv9EIVsvJwSEgBAYAgikyTb6yb4F8Qw/96JPHD7UwIUvQC7oQfBdudJqe/fttS8PH0JMhS1dvtz+7o9/tEXz54Pwa/TRe9qUaXbXjBnY2arWLpy/YMexDPnw4a/sxLFjNm70aMPnILtw4YIThVx+vH7denv44Yd9J6zLly9jU5TL9sorL9uhQ4fs3nvvdaKQLQnahGgfRxU5ISAEhIAQuK0IlMeFa9YSXvqDZaFgjJyTADqamfCvO7xMxHbQMACBWAH7hyGZp9VBCAgBISAERioCySCRGhPcGw8+WeEggjmJ+4nT1XlGKnqD9b7ZY/7JEF2V4QdCuPheEa48yDUI/ZrzUfyam5vss88P2oEDB2CCKmfTp89wUpCbZ3LVGc1Ubdy40RYsWODEYSjl9h/7TxTqbef2945qEAJC4NYhkAjjQAami6WoToQ5ThUgB+mK+CKU7cxh05HL9gVsCrZcbrFaEIEPP/yQLVm02Ek+qo4zZ3VtNTQHJ9k9995je/fvsx9/+sGOHz9m33//o+90lUHd3LyEX4q4acm8efNsNAhEfiWi/YrJkydBDT3rZGJbWxuag4EDauidiA+tCe3zhukgBISAEBACtxyBXy1lIZQholMv/7jAwNLJn48zbBpleGgixxx+j/KxhxnlhIAQEAJCQAgkcw+SgRwzwiXHCA4y+E8GEU5LnCz0ZIjAmV65wYmAzwx9wEc/Jd3Jlwa+IyQdm3R1sFXYdLnJ9h/Yb9u3b/clxxs2brBly5Y5UchVZ99++62bteJ8kRujzJo1a8BuvN9EIe9bTggIASEwJBCgbC7/6AkuTPYothkGIY4j5Th/tBPYiWXHTZeb7djx41boLNqYsWNtIb7m1NfVWQ4bmHBZclAfh70J2CqkXcLZs2d7ARfOX7TvfzgKod9hldgVuaqqyuob6u38+fN29uxZmzlzpu+GRVsU1CpkWSQRuUMWd8TK4uwGcDEwyE5h0mE6CQEhIARuMwJ9vd9ylODg4LaE+JGIH3OStpQ1PhiPMI4pYUShJiE++DiBGFMnmXQSAkJACAiBEY0A5xDl70cYZMK8hKNHIJFKmBv4NyfEeVqE02k0GcSPDVcPROcvDugtTiwT5x8U4eeZ8799+/bZtm3bsLrskq1fv97uv+9+m4D5JG0SkhzkfJG27T+CrfxFixbZrFmzYlG3/Syi8LZDrAqEgBAYDAg4oYeGlAdXCm3K7eTsA3Uix104YxLYgcAmqINzOTEneuPHjXMyME4As8lgAPO0lkU5NSD6pkyeYjmQjM3QRDxx4qS1FzqgTlLyr0Bz58y1w18eth07dlg1yENqFR7D8uQ9e/b49cKFCz2M+WN72WCtPB4MT5DaIASEgBAIY4gPHXiBJ1lI1yWvOSFgQAyjB9eYN5SgVlhOx0xyQkAICAEhMCIR4LDA+YfPScKFE0cMZlgI5/gR0yTnGMeEcoMSAU4ru7seAexTvDtwBRlNTr322mt25MgRW7duna3EJpjjMNd0ZRXMO7mRCa/zUE75Bvbvj0NxZSBdv4lCvewMZDepLiEgBG4KAWcBUUIivX0ATgqM/ijT+IUnjNlBsDe3NFtzS4sP4HX1dVYDbULsRexb2zOP26kKlmmtqrLKxo4ba1X5Krt88ZL9cu4sdkBusTEgBGlfYunSpa5CTjVyLkWuQ1kXL17034oVK9w+YX19vQ8QbJ6XzzqSdidN1kkICAEhIATuEAL8wk9HuRz9vKafmuA95XXUNkynZXo5ISAEhIAQEALdEEje+Tm38PlIch39GGDCHKVbJl0MVgTS7wPpdwHaqyfpx40sudEltQYfeOABmKKa7GapmJaryZifK9JoqorzRc4dB9L1mygcyEaqLiEgBITArUQgCm4Ot/TzFwdhX06GazqGtWG3Yu4+VYK/qrLaqiGwM1hm7Jp++CJUgV2P3X4I0nP5cTV2pKptAJkIA7StrW1BqKM8bm0/d+5ce+KJJ3xQoL1CLjuePGWyPfTQQ3bPPffAeO10/2pEDUQ6ajbGtnqADkJACAgBIXBHEYjjBccHNw+B1tCf/rGBvI7yO358YpicEBACQkAICIG+EOAUhPbS+XEpjitx3OE5+vvKr/DBj0Ar5pYHYf/+008/dbuEixcvtjlz5lglNAfRwd7vvAvOSduxG3JHR8GK2AGZv4F0IgoHEm3VJQSEwKBHwKdxqckcybyO9jYfsPOVEJm+fCy5jbiLpS9BRk4SgvjqU48lyBDzSAoB39HuhCC/BtG24XLsmjwDOyTTLgWFP78UNTY2+pJjDhA+keSLAKqIk8o42Rz04KmBQkAICIFhjABlMclBn8DFDzq4Xy4Poo1ZmpSI8rp8RnzPcWUYQ6RbEwJCQAgIgZtAoAJzCo4pHE9ot5zzAY4ncU5wE0Ur6wAj0FufFRJtwl27PrUffvjBN7jkijMuMaZjntjfVFKh0kkH5pLxnWIgb0FE4UCirbqEgBAYNAj0FLhRMKc1P5imVKR2n4dCc5BLznzIhsCGDzsVl21UYfkxbRdSC5CkoJu5h4DvxNcf0n5ePuLiZHLixIkhLwryJWvI4yWzYLiod9KznR6pgxAQAkJACAw4AuWXfgjoKKPzmNBNnTrVVq9e7Vrj/PiTdjFdOkx+ISAEhIAQEAJpBPj2z/GCJoiWLl1iLS1XbMKECeWlqJwPeJqUMkM6v/yDEwF/b0j6jP1Lc1Z7du+Bffrd/uFxyeIlNn/+fF951vN9gRqETbB5z5Vtd2I+KKJwcD5TapUQEAK3EoGEfGORPQVt+tqFeUxLko+/+AftEZJ/mVxYCpABScghnX++KzFGbygQIk9itB7DOY3X82tQhmuTE8f6+IUwOtaRbkMM78oRQ3QWAkJACAiB24lAMg3rowqfokFe84MRBD3+XfZjLJgBsxFjxoyB1ni9Lx0K8psfiBIzEpze9SHUOWa46yOecYxKJ4t+z6eDEBACQkAIDBgCQVSnpTKrjgK8u3Quy3emiEnKLe1RBhMgQy1MGN2HnW9JEo2CfXMqE1SwWC8AcwZ407XEOUSZkLq6onKN8gwcAt4fsTr0CVcjULnk2E8/2d69e+zkyZM2c8ZMWwJSeNKEiejXCitQuQRpo33CDmx4wnTnzp61bKKIEosciHPXbHUgalMdQkAICIFBgkA3AU6yLmkXBbTHJQMtd54iKVjkhA/ahST/cLASyL8KaBHyj2RgJ8I5mDOuAzsdczIZNQU5uMeB3Kvhm0NSfrfwQYKNmiEEhIAQGGkIxDGg9/tOxVJ+Y5rmkzX68avBErGqfKVVwE6ta54zCRK4fKefLp7pTxWXDAUM7ZbEA+KBibzea6SJaXUWAkJACAiB24wAZX+qCpfpqbBEZqdEfUjfLSDJz3IYzuyQ85x3jBk1Gl+iwhgCmrAroVeBA8r3UJy7zWdYbw+Xnmd0S9tLumvF90iuy1+BQAX6k58LHVd0WyuIv2+/OWLfHTnqxN+8eXNt3py5sE/PjdDMcphH+jwTaame0tTUbKd+PgXt0hYbDTNV1DYdSMfPonJCQAgIgeGNQDLB4k2mB0HXB0Qc5HGvjoNrdVU1JoHYwATCux0EYBE2CzudJAzagjQ4HAd3epimFcsFisUO1xzk5ibuUm2IJGGvlSpQCAgBISAE7hACyWhw1aDAAPw8nIfUZMzDoAGAja2yGDO6JmVJul4mbte7ua4yulL+2rCuHPIJASEgBITArUYg/TrfVbYPBF2XHCw4TPT8pVJ0jSkhkPMTL7uID1FgaFyrDAWUh5CkijgW8DI9p4nh3apI0oSye7aRfGNqzOr9xroV11cd3RLpwhFwrICvb5JJbPEscOfir7/+ys6cOeXE39x588xNUSGavcM8vmEmVEjbYR//9JnTdu70GZCKWLkA7cPJkyYPKLr91ihMP5gD2mJVJgSEgBDoDwI9BsC+ZFgcTGN8TW2N1UP1/9z/3959P8lxpGme9yygCorQAKEVAZJgkyABajZbseWwu+fMZrpvdrfHbv+Am/tt/pS7+2FPmN3a7d7s7HSbzbQgW1I02U3RFAC1BChABZAACEHoynueN8KzsorFQiGrMiqy8hskUoT0+ESZe/ob7h5Hj8adnc9Of1aU7QoQDjhjL/dbBBIvpOMqBD4747EkBtIiDW6/aOGiontae5qjwBipaOZ9tK/CZwQQQACB6RWYqJJT/o4vD+jMfSSPbk9FK/v2Yv+yj8k3nNyyQz/04xa8FuqL2xIUeyn3Vb6NbOeNi8qhbzp5cezSO2qbWmVE7LNY4HMZb37bZnxEAAEEEJhmgVaenvPzvP/2bLv9s5fndcfOz8ta8/3BZUe8qf7gT8VQR57lHRXFQ7mByoE8tZcHI9HFcqk3KtfN640qQ7Sa9xjjrmu9Lywry7Ip7yMfm/cRAdcHWz5lme3v/nf40KG0f//+dPz4ibRYQ5W8/OKL6Z//+z/Hg2tiHe3GrRDjOuuKvKOHnex/64AefDmUtl21LcZDHjlS9z91HCjsftI4AgIIIDC9As6EXaT6PU/5YSSt717WttwZeYwRooLzs1Mn0xkNKDs8fDH24bEGi31pv1p+7uy5dPToMT0l+UI8tGTVlavTArUojMJXBxh77HxM3hFAAAEEui/QnvePPVqRPxdzi/rUSGXNn4rqmCpp5efWvrSg+Fnv97L8UBkSn7W7Yplfi6Kl2E981cvIN+8v1srvRSJio9iHvudjeqv2db+wUpcPwzsCCCCAwLQJRF5cZOtt+8y5/sisIof3TaCc12sdbec1Y47ydccC87woEyI4qH24LIhyQGPblcdq5f0uAbwsNvz8cT0/H9Gp8eYRgPLxyu8eM699ivXjeFp/zLJYT8vKZLRvxucxAnbNQVj/neTA4bDGH3z//ff17z03F01btm1N1+68Lp527Najti3GulcdU5+PHjmS3n33YLRCXLlqVbp6+460Zs2VY47W3a8ECrvry94RQKBuAmUhOLZiFYVfWeDmJHvg2MVLl6QVemS9m30f+eRoeu/9D9IOZdZzBgdioGHP9xiFFxU8PKUnU7373sF0UY+x99ON16/bUI47UVTw2gvhfAzeEUAAAQTqIeAHVkUlqq025GIhKmx6c2vBpsaqbaps8IpFnu73srKnFfL4Qloz6nFe6qFt/d0btFffGrlCWC5uO6xWLL7FMbx1+b1ctbU8vmvZ2DLN85kQQAABBLotUOTVOf+OrNoxOHc7ctkQmXhe6rQUwUJ/cnjIS/LSokwZCebFfO+wrLtEORDliDfKW3lPI1MuK7w0lx9emvdVBB+L9b1uLjvy8mLJOK/l8fL646zBrFLArsW18vUv6oBnz51LHyhQeOjQxzGm8a4bd6UffP/7aZkehOaOCF7Pv0H8EJtz589Ha8Nn9u6N/axevSpt2rwperhVidxxoJA/kiovE8dCAIEpCbQVhJ/bT1n4tvK08rsLYBeaVyxalK7SQLNPPPZE+uTIJ+lZPanqpptujDtALoGH4/bPcGTsvlP02iuvxFOrli1blrZu3aLm4vNGFcLxlEztt3W8zyWIGQgggAAClQs4w3dr8aha5eqVf+xrSHGXIfpvrgKBI2t4jisBqhE6cOjPLg/UmiBaFGiel0dloSxPnO9HxTBqZLmeVx6rfCtKnuLso7xwmRTHLyt6PlJZTuV9a0ZrXrElrwgggAAC3RKIezy5mNBBIi/2wZy3R/7uVoDOl4uyw+VD++Quxd5G/ztDLxbFlyhJ4ntrtr/FPsv1876iaIgFMacop4pd5X0WS8t5+U3Hya3eXJbktDsVkSa9uxWcp9aynJiYO1IGlV95m0AgGx4/flwtBN9NJ04e11iD69LVO67WuIOb09DQYPzuiN8G2o+vzakTp9KJU6fUQOWTNEcPt9m8aVPatGmzxs2fN8GRpn9R8Vcw/ftljwgggEDtBHIxnStZrrJFxa0sAPN8J9wZ+0Vl1gsVKNy164a0YNGCdFrdjh977PH0+9//Pr391lsaaPacAoQal/DEyfTKy6+k3/zmtxqk9vU0pIef7NAAtdu3X5WG5g6Fg4+dC97248RCXhBAAAEEZlbAmbTKAhcHfkaVK3JF0RAlRaStoRbk/ha1Ms+J+KBeykpcLFAwseEgoTaOep9f8k71MeZ5F61/Po4rk/mfFrRNuZLhWe1lhz/Hd7+3rc9HBBBAAIHuCUR+65e2jNdFgPP2yN996MifvYpWcoGSM/xYNJJ3R67v7XSPyXl97CO2L/bh7Yp9F4HFfCNK32J9r+rJ6+TywZ/zFMn0sdsS1yo74njF2q2bUpHucn3tJLbPO/N374tp0gLFNS0Cs4c0PuH7H34YD8XcunVz2rZta/Q6s3IECeNCF76fnT6V3nnr7fSxHmSyVE873n711WndurWqR3q8yuqmjlsUVpdEjoQAAghMUSAXbLkA1O7aC7tcEcvvUaBqHQf25qjSt/PanemO229Pf3jgwfTWgbfST3/60/TKK6+mLXoC1dC8wRiU9sD+/Wnfc/vS4Y8/TqtXr0679+xJ6zds1JMwNait9hVFsQrlVgHteS64mRBAAAEEKhFw/utxgnIgz58HdLfek8dkip/rypZP6kf62wcOaNDxA7oRdFzxwIG0Zu2atEM/1t0FaP78+fGskzlNBQnjd702ivzcFUDtTE+tVOERN5M+/OCDdODtt9KhDw+ptfmFtPiKRWndhg1p4/r1acWKlSpD5uVNnYr4z7tw+eDea56cbpcWxSDnxXe3OmhNcdDWNz4ggAACCEyDwHh1hcjknSE7z3ferHcH+twi/aOPD6d9+/ZFXr375lvSao0tFyVMua6TFD2R/EFT5PXK3c+dPZs+Vq+ld99+J7nM+OzsmSgbvP22bVel9WvXpjkeF10b5Ow+1yGifND+/X7+wgWNlX40HVD59YH389lnaWhwMK1TebN169aonwwNDcW6bgzh47fKF332acWkfbkO1F7OxLpa2FqnXJW30QLt18NL8nVy60BfG49vv3nLlmhNGHcbDWtUvfve49lz59Nbb72TXn75pfgNsefmm9Ou629Ii/VgzeL3hlaqaCJQWBE0h0EAgZoIuLC+xJTXcGbvTNkVxL/5m79NH330UXru+efTG6+/oYL8Qz3ReIEqmXPThQvn9aCTz9JpFeyrVq5I93z96+muO+9MV2i5n37s7mgXy+PmAuQSSWAxAggggMA0C0SlR/m682F/dsDQk8cEcqXozJkzugn0cvrzY39OLyiv//CDj9IZ5esO3y1ftjxt2bI57brpprRn925V3ralBfPml/tw6w7vqSg9zmt/Hx58Lz35lyfT008/HWPXnlC3owuqxA0NzUsrFSDccc2OdMett6Ybdt2ocXBXKK44JwaubwUDlR5XMLyN0+U0uguSh7MYVMXP55DLkwhylgFPp4IJAQQQQGDqAjnIM2pPkdlHGzBHgeJ3fmpcUKDvSPrjH/+Y7r/v/rRC485tUHfR1crbRz21WPm2bzw5WNj0DSWVGR9/8nF66qmn0969z8YTcT9WQMlj1M1VGbB48ZIYm+42NVa47ZZb05orr0xz9QRclwfO/11uRTmg8szbPa9yy2XOq2rMcOiwbk6p/PA6bsCwdu26dOutt6Tbta/1ChyOKkPiPByxKrq+nlXg0v+8jssb3xzzuO1OsecxTV4gB1xPKWh7St2J5y/QGPbrN6Tl+huZI0v/vhBqxAAdvD1+7NP01NN/iR5qV6r+ededd6Vrrr5G11Eh57gAkz/2VNckUDhVQbZHAIH6C7hQLws257Gexi38i0UjhWD8GEhRMdulcQn//b//D9FK8CU9zt4Fux9sckF3EOer4rdi1cp0zbXXpltuuzV98xv3pK3b3KR8KO7+KZqYBlSoR0FQpiNqlflzeVzeEEAAAQS6J5ArRq5keXI5EPP02UNJ/OnPj6b77rsv7dMA4keOHE1n9WAqB+FcoXt/nsagff219NJLL6dXXnolfevb30y33HxzWnTFFRHAK9r8JVXM9GTD995P9/36vvTwQw+nt9Sa8LQqCBddKfQYiMr3BwfnqhLwanpTN52+dfhw+spXvqpKnFqMONin5a6GuWXIe++9l15UefPqq6+q5frxaFGwffv2tFvByvVqleiWIZ6ouAUDLwgggEBXBVxmRD1Cgb4BNQRw5MYPMzx5/ER6RmOY36cg4XPPP5eu2X61WgmeU0BQYcLYQLm6352569+AWqOfS+fTwbffTQ8+/GB66KGHogX7ST0UcVhlyIUIJA5HK8LXlP/vf+PNdPTjI+mb3/5W2qi8f67KEAeVPPmml4OEf/jDH9IDDzwQ5cUJpedclF8q49T12WPj+SbTq6++kj5U99d7771XXVnXRRniQFZMOjcHs1zeuFWkyx+XLesUYLz+huvTzp07I7hFeVNwXeo1/lb8G6Nc0T0Y/DC0pUv0kMwVKyIAe9FjVeq3gS9BQzcLLypAfFDur+h3hm8Q3qo65Y166MnSZUuKnhCXOug0LydQOM2g7A4BBHpbwAVgrjw6544yXT8Gliy6In35K3eru/FmdSPzuBGH0kndGXKF03fb/GTkjevXpY1a7kFqF7g7mSiiQNU+c/e2vP/8e6G3tUg9Aggg0DsCOW/P+Xb+Ie8zcEuMn/7LT9NzGkLi00+PpyvVcuO663ZGFyG3Ajx58mR65tlnNG7QO+o+dExPuT8ZrSx27doVFbA5vtuvAsPbPv7EY+n3v/tDevPNN6J8uOnGm9LV116T5qlVxuGPDqVXX3stvXfwYHpWLUhcyVu2dFlauviKtEgVCIcJXT6888476be//a26H70cXZUWLFgQFbdo0a6K3ne+8x11XdqiZRo3MVf0eudSkFIEEECg1gL597oT2f45bvRrngN1DrE5uPeEWo//4t9+mZ5/7jk9iELBvqZuRilAV4YVvQPfmSr+eVsNLPHpsWPpiSefUFnxe5UVb0Y+f8OXrk/bdmxPy5csVS+ls+rB9HqUAa+/8bp6Jg2rO/KQblJ9K125Zk1xY0n7uqDg0gsvvpAefPDBGALpwvkL0QrRgT23JDyh9Dj45+7Ir6nsOa/1HSRcovImd0PWbqKMe+LJJ9Pvfvc7lWOf6mm8y6L141+e+ksEP7/3ve+lr6vHVHSB9QZM4wr4d0We8m8O//0sWLgwLdS/8+pavEC/BeLhM1q3rGnG38wJ/S29rGCug4WbNm1Md95xZ9qsB2O6NWHsNUcd8wG6/E6gsMvA7B4BBHpLoD2Dd8Yek+8IqSK2XIXq/Kt3pI3qTuA7da5s5iblLmw97sT8+Qv0AJPBqDCOPfPW/rQgf/Z7+zHHbsN3BBBAAIHpEcj5buTbyr895pNbEh5The1nP/tZBALPnD6Trt15bfrrH/4w7VKA70pVtNwi49yZs+mW3XvSHx56IP3liSfSU888pWEprkwbNm7U+FHro0J44ezF9OYbb6QH1TrknXffViuAZelrX/tquueee9LWLdsUUByMCtjzL7yY/vD730WrDVcA9+3bq8HKd6QtqjwMqiw5rZYEL2idvWrZuEYVwq985Stplcaq+lhj4D788MPqpvZUDGy+UjeoXNlzWRStEaeHib0ggAACfS/Q/ts8f87vHof24sXz6SN1N37kkUfTb359v4J1L2pMwFMR0ImYoOsIEUo0pUOGDhSWQUcte1/BoGefeUYBvP0xHuHXvuqy4htxc2rhgkXpvPb/noaweFCtBB96+CGt91Z6/PEnNFbujrRcLdLyA0g+URqeVtdlBwMvnr+Y7tTQR/fc88240eXure7u+pYewHj//fdr+8fjJtSf/vQnLb8uLVMZ5ck3rN7VzauHVHa9//77ERDcrSE2XGY+++yz8RDHRx99NF2tcXr9r9UKMbbmJQu01+lcg4zfHGVd0r0G1uqBJL6mw+5doOamdnTQuKHBJy+qJenB9w7GTcvzGtLqbjVOufnmW9JiNVTxLqKvQbmvfLxuvxMo7LYw+0cAgZ4WiFBhzpjVsnBocF48nv6i+xP4TlC05NC71rmg73O1jjsD+M6Px/PwlH9Y5PeYqZdcac3feUcAAQQQ6J5AznOdF0e3rTJvdyuLJxT8c2tADxr/ox/9KN3ztXsU6FuaFiyYHy05nKqVChouUss/dyl7/LHH05NqfXGzuh8vX7o8LdR6J08eTy+/8kqMM+Wy42Z1Ef6BAo7X77wuLVy0KAKOq9RS0d2OXHZ8+umJ9OaBN9P+N/fHwPPu4jVXQ1Y4IOiBzN1a/bbbbks3aT8OCJ4+fVpj5R5Kr6uVyevqtnyjApmLtF+vx4QAAgggME0CjvTl3/7tn7X7YXUfdUDwZXUPfVQBt8f+/Kd0QE+odZ3A3Uc1Aq7+U1jQFQHdZIrJu9N//t//XIX4RF2J3XLM4wjuVBnx9W98XWMI3hatzryZt79y1eo0d85AOqwhKh555BHdiHotWgZefY1aqKvnkqcXXnghbjp9ou7H119/fXLLPwcLYww8DWfhIKBbEHqcwSMKKj6nVo/uWvy2ekdtUi+ohSqL3MrQrdhdtmzWvLvvvjtt27Yt9u9g4hu6AeZ/XmfHjh0xn5cvFvBvDP/eaI05rM++Btfour0rw6Nqsek/j+JPQg1GdI18/TxW5SGNge9y/1vf/GZs47/D+FvSFuqprG38R1TNVHZKr+ZgHAUBBBCok0CrS8ClEuUc2uOF6D/H/pRVR9kfLThcGGimx53yoLTO9L3uQGyibYrcfdwjeNlEy8fdiJkIIIAAAh0JxBhBZb7r4JorUM6D3b33mLoTD6obr7sI3/3lu9PqtavVVXheOq87//6VPqQA3lI9ddDLb9VDSBZdsVDj1L4flbSTp05GN6JPNY7gW/v3J48P5RYfe269JSpVV2i7Oe4irHJhUA/AWrViddp1ww1pp/Y1qC5FH6gr8Yce81ZPRXY54/EI3crRXbw2qQX70qVLo5Ln91UaD9et1/30RLcUcZGTA6AdobARAggggMBoAf2eb+WrYwIzx44dTf/9X/4l/af/4z+lf/vXf41uw+v00ImvqEXgSj+8RHUChwvj4RPKz11riKlVR3BrRI1rqG6mLjM8ueW4xx5coAddDGn8wQGVTx6HcKG+e1zardu2RgDx+ImTCigdSWfV6tzl10l1K37ppZfSO3passuyPXv2JLcEdAv0+UND0dLcPZ7c5fXGG2+M5S5HHHj0DbJjKkecFu/L3Y1dpri7ch6/0Ns6Xd6fl3sIDq/LNL5Ae50uPuua53lL9WCaPXtujvGFD+p6ffTRh7LXbxB5npDrY3qI2r69+9I16jL+g+//MG3TdS+GFlEpr8hx8WfoEr+6iUBhddYcCQEEaiAwbharwtUVwdH/2hKrjTyWhMt6NxVvqlD1pK8x3/tUbFCT7iOW6/mrf2Q0vcAr5snLmRBAAAEEZkZAebBb8+WgoVtSeNB2P93YebhbZLglhn6Wa2xZVfiUj3v8QeflviG0avmKaBXglnx+2v0bGlvqhCpQ5xXkO378Uz1p8nAE/FYsX5k2qYK1UMNRxA98P8xEx/WNpTlDc+MBWBs2bognILqVx4cffRTdoJ22hRqPcIG2c8XskMbDdfdoV+ZciftUT0T0d1f83EIkKrOUKzPzt8RREUBgdgoou44AT/mbvv0kHSx77LHH0t5n98ZDp+64/c7093//9+mbGmJisVqce/INHxUhRYuyKABcT8j1gaIm0lBrv7m6ceQWir5JFK3cozGCigpt7EYJrjE44DhXQxpFK0Nt6t5KLkec9zto+JHKjtNnTqfVCuZt3bo1biy5HPG2rtc4sOd1fePpBpVvfnKyv+eHZLls8eTyxDehfJPKZY/P3yn1g1KO6uFeo8qc2IKXcQXsJl9fgGzo6+DfE9fq5uDXvvb1CBDf/6v7oifDXrXufOSPj8QDZ3bvVi+E79+bdl53bVqsMt691Vzv1EWMv4e4IOMetDszO+96rBNmQgABBHpCwNlVzrPKjLv13QX3uJNXjP/jJZp7eze+q1Pm1C7CnfH710CjoYK43E+xTtFasFg37yivoO9MCCCAAAKVCzT8pEq1EvTA8HNVUXO3r9MK+A2qguQK0yp19fLYha7oOd93Bc13gnwTyMsbyvMXq2WAt3WQ8ZC6ArsitU4Pszp18jNVso6qSGikJUsX698ytegoWpyriUmMVuUKhIujJXpa8urVV6rb8Fx1QTusVoUfqDvbZ1Gp88Oxrtp+VXRh9lhSbtXh8Y0Oagypp/VkTQcpr7322iKgqQqhjxdTLucqV+WACCCAwCwSGPUzXV/y97Ic8M2jPTfvidblHn5i69Zt6lL6tvJ7hVYU+HNsx+9+K7JllSiRTRd1Awf7VuiG1IqVy9UF+EDcrHK3Xj8wcfCKxdquCBP6icoHDuxPr73+WrQ627hps8bGXRMPw/COj6q8OX7suMYmvKAHKa6Jh3DNU3mh4kYH1gGL/yMdTtPWbdtUbqjVo7Z9680D6YgCjZvVat3jq2/asDFtWL8+uhj/8aGH02233xbl3uMKijqouEMt3LZs2RI32sqT8lGYxhOQbxHmdS1QdUX/7tC18A3Er33tazHEiVuTujfC2XNnY5iTr371a7qGa+PhmPOGPNZ9/MHEdn6JbszlNR3vkN2Y13GgsEx6N9LEPhFAAIFpFSgKZ+3SpeScInTnV+dj+d9EB4ztywx7IO/MpX8U5MVO1PYkduaKZSt/LD+0vk90EJYhgAACCHRfQD/gPWzExQuqzGnw8EG36lCw7uJ53TRSBn5K3cHcatwlxLAChA2VG27RcfHC+bi7f14Vss9On1ILwotqTXI+WiKeUWuOC7rp5O5gbvXnu/9+qqFbaLjiGOVMWVGIVuc6y3l6kvLiJYuje7OfWnlcLTjOKFDoFghXKBB4yy23xKDyHk/K40a5NYfHKHSX6bvuujO6l12hYKMntxhxywPKmuDgBQEEEJiSwHjxmPjZr3x2pYaV+Mnf/yRafa/fsF7BnxVpnvJl3+zxjSA/nMKRuWa0MHCu7IqB8mfl7d6H/7mluscH9Diz+9/YH+PU/vLnv9CNq4vqnro7LV+2XOXJ6fS8uhXf/6v707NPP6ObU4PpZnUt3nnNtWqpvjBaFZ7RTS4Hm1wWeYgLlx2DWk8LIy0uFaJVm5Ohhg4OTs7XkBpu3Xjk06MxZuFnKlfcin3r1q3pu9/5Xvr1b+5Pv/jlL9MDD/whAoXn9PTlDWod/+1vfSuCiTHMknbHdAkBX/NYRe/64Os+ODgnuZv6Mt1E9O+G6NmgtTx/ga7BkMad9E3IL568l2KvX7zO9C3pOFBYZSKn73TZEwII9KNA666O8lZnr6Oz2M/PGWs0av38Re8j2bW+tM0fuz3fEUAAAQRqIBD5tCtrGnPQXb5UcZubhtSKY4uChQPpzOnz6ZWXX02fnjiehhTk85iFboHoloTO7y+q9eHHRz5J+/QUSHfN8jK3KjyjJyJf1Ps5VdZOnz7rBogKAKr78MIFaUD7cC0hVxSiS5gqaWqOrsHo56dFGoNqQBUDPyDllCps3p+DgW65ce+996b1auHxpro3u7ub5+3U+EVuwbJWA6O7m5j358ppeWo1QCYJCCCAQG8L5J/0xVk49/fPfP+nGzlq8edxap3/Ou8dUn7tSTmxKgYqXWL1YhvP8jrxrcynHbhzezN3Ff6Ogm8Xzp9LD//xj+kljZXrISh++fOVaZ7KjgvnzqfDGnrisMqcJQoC3qyuzfeqW+rmbVvToIavcOOHU3qoypnTaomu1osLFDyM4SjUit3HLJJTpCOGvNBH33BaovT7BtYFDWFxXv+a2tblyBKNXXj33Xep6/JiPel4b7RydK+p7VftSDfuvjFds+Mabb8gzqUsceK8eZmcQPE31dDfzRw9FG2ufh8UQ4fEtVJk2p0D4qJNuLtiLxOuMo0LOw8UVpvOaTxldoUAAn0nUJSTOu0y43IBmr950I8O8zM/zn5kR8VHXhFAAAEE6ikQLb+VtKYCfm5d7oqdi4CdO6/VWIELIuC373mNF/Too/HEwRUr9OCQ+PFeVAKPq2uxn3b80MOPxFiBPktX+s6qxcUFVbY8xtQFBQtdDfSTKqMLc1FrjMpV1CBdWXRwT61O5s0bihYEqtVFV+jzqhh6cqXNFT4/IdGD3J/QgPXuIu0uyB6I3i0J85OO3TJkQBXWYt+xOS8IIIAAAtMlkH/rl/vzjR0H3DzFTSTVMVyt8GrO7qNaUdYzyk1Gvc3RDaZhZdlDA/PSlqu2xcOz3tPDrHIX31e0Dw9Z4QCSW7IPKt/ffuv2dJeeZOwnDnvc2yhQdKCzKjPOqxWiDzdv/lDcdCoW+pCaqRUbTpAmt5B3a/p5Klvcij5ugnkYDj+wS5OXrVi5Kt2iIOj2HVenUydORqvI5Xrq8dIlS6P1e9FCXvsrdhnb8TJ5Af99OGzsHgADbvnpSS1PYxxCo17K9VLLiz1O22vngcJpSwI7QgABBLot0J6zFp/jDs5UD9u+26nui+0RQAABBLosUAzs7lZ+w6qADWj8wbkDg+m6nV9K3/7mt9Ov7vuVBoY/lP6///pfNd7UO6qY3ZW2bnVrwyGND/huelQBRP979513o3LlrmQuBhxL9A9/V8rKIeS1vBnBPZc1RYsBhw+1hgN7DhSqUuZxi2KZNi26IBUViFw+OTDoVierNGZha9L+HJzMU3wa+Zpn844AAggg0IlAzlQjT9cO8m/9tnzWvYodGHRePaBAnBsOFCVAMS6hv/hWVN64WFYkxi3ZHRg6pS7De/fuS/fdf196/vnnNEbtqbhh5a7BvpV0QQG8MxrO4uL5i+mN115Pf3z4Yd0kWpR2qbvykiVLYu8OKM5VeaI26iOT969vPmb7FPOU3hhSw+WIA4Se6XPRvzm6eebPi9XicNHCRcV62ovHU/T+vb6HuXBAkakzgSJoa3RPVvVV8s1DvUW5Pvaqaf4MTgQKZxCfQyOAQEUC9cp3KzppDoMAAgggMFqgqAgpXOhmexFwc8VnybKl6e/+3d+lY8ePpcf+/Gd19d2vB4x8kp584smomLli5/EBDx86HA8z2b17dzyN+M39+/UDXwE/DTzuSqP3FW0zVAlzhcABwTy5apADgBHoi8qcA4OuEo4UUkXFs0ibt3UA0i0Vc3DQy/PnCE7quyt+RaAyH413BBBAAIGuCCi/HXYer//iCcRlHuxjOTjo/2IaydaL763XZowp+MYbb0aQ0DefHDi8++6vxANENuqhIvMULPTT7d87qAdYPf1s2rdvb3rkT4+mM3rwhVsC3nzrLdGq0eXKsI+jD745FZPLHc1rKp1R7nim0li8KYXaPsoQn0OUUx5iwxt4DaXeLdz01ecR8/3Z23gXxYs++AtTJwIRDzS2/m+0xrHsZE/d34ZAYfeNOQICCNRKIErCWqWIxCCAAAIIdF+gaM3npxWfi3GC3AXYVTq3j9ixY3v6j//Tf9RYUEvTL3/x8/Tx4cPp6JEj0X3YgTj/qN+wcUP60d/+KG3dtjX9/N9+EZU4BwMHFSx0q44iMOhAnlsKaBPVCNw1zZMrXK5a+Zie7+Dj+XMX0vnhC7Esl0ye74CjJ+/P32Pbtoqel3kd78sTVbZg4AUBBBCYuoAz1AiI+d2704vzX+fh+thU0GyuPjcVZHM+7PzcuXuRw7udWJF/t7b1Ltom5+tHjx5Njz/5RHrqqac1xuCZ9OW77kp/++Mfpeu/9CXdnFoSQ1d4337QyI27bkz/+vNl6cEHH0rP7t2bNunJx5u2bI4xa71br+exBJ1EBxz9PaaYUaQ90qjvvunk8szlyuCAwkA+D333qjko6OIrboBpJ8UutI7OyTejijInUIpj8HqZAi7PtUlEYuODL5pm+LPL83rZEijUJWFCAIFZLqACsciZR87ThSYTAggggED/CESQzpUqVfA8+WnDrmD5q7v57rpxV1qxaqWeRLkrPfPM0+k1PW34nLp+LVf3313XX59277k5lh0/rjEDL16ICtmQxgf0Q0u00xhvcJG6hn16/NNoDeKxCz25YlhWCVQnyBXLlM6eP6vuZp/pCcoX4omHi/TESnfriiqDtnEpFSl1BU3/otwqyzOv5yBkBBG1rhbGsXhBAAEEEJiigKM5kaeOzlcdQJujnDnPjW64Wq9ovae52qy4/eSQT15rdPjH+fjHH3+cXn/l1QgYrlu/Lt2hJ9l/SWXMKj1BueExZ2PSQ7c0ju11139JT1T+ML322mt62NbL6fXXXk3vv/9+Wrt2bbQqzOWGW7376cdORC4vIvinOTl46DLDZc5FjWs4d0hj4Q7Ni7FyXUdy8NChKgc84/TLM3Crt0ZTSxwlLQqkSB0vnQnEeIQCDkrvQoHn4i9k5O+lsz1P/1b5L3H698weEUAAAQQQQAABBBConUDxE90BPP9od2XPvbbmK1i4ZdOmdOWq1fFUS48hdVEPKZk3b15avnx5jAs1V0+4dCXv6CefxPhRHmh+scaLmqcK10I9EMWVNlcEHST0E4xbkysGrlCWM85p2Wd6WqUrbZ48OL4fUhJBRQf+oqbmipkrba0qRTFf6/sYXteTP7etEfN4QQABBBDoVMB5r7dtz1lz7u1suLhx08p72/Lo3KIw8u2RTcrdFdu5ReE7B9+NcQk9Du32q7anpRobsAgS5o2U9yswOV/lz8ZNG9PaNevSKwoufnLkaDxMyw+48liFC1TuuCxwoNDlSTxQa1gPymhLk5c7WOh1Tn92unhIisobl1cu39xl2qv7yLk7bCuUZYLPWdiGqROBkfI8X+f83sneursNgcLu+rJ3BBBAAAEEEEAAgRoIuDWfWxXOUY3ILSsuqsuPx5hy60Avu+g7+/q3aNHCtHXr1rKeVQTq8o97txZ8/vnn0yfHjka35DXr1qZlqqwNaZxCt0p0xcvTyZMn0yn9u6jK3Fy1EHGlzpU1d99ym8GTZ86mY0eOxXwHCVesWBEVvqiAOp0KXsbUFlwsZvCKAAIIIFAXgVFhnvYv8dmtDZXSMgjnL87jzyr/P6GW6S6H5ulhWb5JNEflRFFGRVTOd4Cim7ADdoviRpKCerpRdfbsmXRG/xz483aLFy+OMQQdfHS54+ClC694Lw7dalH4gVoinjh5Isq5TRpKY9my5WlQD/XS6rFNeeS60M7OdPQQcueBwvirn53Xj7NCAIHZJRBlppvQq+x0weky269+L2fOrhPmbBBAAAEEPifgXN+/0d09y0E7j9HkAeNffvml9H/+X/93On78eHLl6R/+4X9JaxUAdEUsKlAqLPz5op76eFStOZ559lm1KDyi8QwXpxuu+1JasnSZxpSam5YuXZpW6gnFrgh6X0ePHdM4hOc1MP38NKjlPviwWiiq03I6ceJ4Ovzx4Wjh4adMertBVQJjaqvkRQIm8Zvb5VkP1T+K8+QVAQQQ6DGBqDs4ze35susWrQVapGHnop4R8/Ti9yhMXJaoS7FuKi3UDSl3U/Y4hMd1AyrGzh3UjaYYs84HKB484htaDgCeOHEiuSW6ywnffHJ95sorr0yr1CJxztw56UN1T/7oo4+ipXtuZehyLg9RMayg5KvqvnxYLeIvaJzeTRs3p2XLl6UBbes0RRdjChHD13sq/46qSGTRZ6GKI3EMBBBAYMYFylI8l+b+mj/PeNpIAAIIIIBANwUGGkUrPQfryjtF0apw4cJF6YUXnk9PPflkevCBB/XU4zdibEI/XdJPe3QEzt2THVR8SUHF1199TZWvC2ndhvXpppt2p0WLr4jK2EK1Jty4UU+sVFeuQ6qwvfzii2q9cTKCgw4yxnF1gn73mFP79++PQOHyFcvT+vXri0ChyiQHJeOmlj6P3NwqkhzFlvbR/t5NM/aNAAIIIDBGwHmzZvnf6Kl9TvtnrVvm547zOM/ftHlzmr9wfpQV+w8cULfhM1GueDiMYt2iHHCr9A8++FCBwA8U4LsQrc9XaCiMCDaq2/Fm7Wf16tXqUvxZeubpp9O7774b5ZH34bIknlisfXpcw6eeeiod+vAjtSIcStdce3Xc7HKr+hi3V+mKW2kVBqJG2/GtbgIECut2RUgPAggggAACCCCAwPQLqCLk1hVufZEHFHc34GWqtN11511p7uDcdPTTT9P/85//c3pTFbdz8TCSZjz05NSpU+nVV19NP/vpz9LBgwfTQnX5uuuOO9OWbVui+7KjicuWLdPTk3fEuFFH1A3sDw88kH7z61+njw8dUg1MB1cFzJW3t95+O/3ut79L+/bti4epeJstW7bEWFS51Un7ybuFov8xIYAAAgjUR2C8XNldhcfLrtvX9Y2hXTfsSiv18JLDGu/2kT8+mvY9tzedUPlzwcNiuAW73s/q5tQLL7yQHnjowXRg/4E0OG8wbdm8RS0J16R5alXoIN+Nu3alHdu3q5XhYHpSN7tc5rz5hm92nY2y69y5szGu7q9+9av07DPPxM2rG268Id1www1qDb9EZVDxeJYYp9C0KqOYELBA512P8UMAAQQQQAABBBBAoFcE1IXL4xOmgcF0oXkuulsNqvXfUlW2vv/9e9O+559LB99+R60ynkn/+//6v6W77v5yWrViVTp99nQECfft3ZdeU7BwWLu46dqd6bY7bo/g4By1VPRDIecPzEvbVWG76cYb06EPPkpva1//7Z//W7Qc3KVKmcci/OjQR+m5fc+lvc/tiy5gm/TwlOuuuy6tW7dOgUqPFeVqZjRi/FxrlfaKZq+Qk04EEEBgNgq0bt6MF1hTZp0fENI69zJvdyDO4wo6wPe8WrI/8efH0tNPP6Xux8fSDSo7tioQ6ADeubPn0kG1DnxWN5T8tOPPzpxOu3fvSbfffntas+bKGMfWadiqm0x79tyc3nj9jXTwvYPpN7/9bdzM8rxVq1ZqrNxT6eWXXk6PP/F4dE9eoRtad911VwQc3YXZk0ud4bLL8wAFTeuS9fuHzgOF+sNkQgABBHpBQG04oiWHs62RSlhRGYvbfuRnvXAZSSMCCCAwZQFXhprqNjzHA7irbHAdzwPE79p1Y/rR3/xN+n//y3+JytSjf3o0PadKnJ9q7Omkxhw8dep0mjs0N91w/Q3px3/3P0aLDI896E5oDRczCjhuWL8hfe+v/iod+eSoWnc8Ht29fqeK25//9OcYV+rMuTPa16l0+sypdOXatemeb9yT7rjjjniqch53Kg6ocil+abdXQicoq/hVHmq8IIAAAl0VcF47us3deHM0r6h0RL2jff1h5elu/bdTN4h+8Ff3plMae/BptfR77rnn0xtv7k8LF8yPoS68jccvPHXipLoKz41hLn5w773pS9d/Kc3XuLd+MFZTd638AK3bbrstvf7aq/GAlEMa1uLY0WPpxRdfKtZRmXdcx3Cr+AE9RfnmW29Jd6o1vIfMcBqjpIl3l2NOd1f52PlUBPw3VeHUeaCwwkRyKAQQQGAqAi5si6w1QoZF4a15Lg+jIJ/KztkWAQQQQKA3BFwZcsav1n/DGjPQ4w66yndRFbelamXx13/9P6T5GvPpn/7pnyJYeOzYpxpP8GJUttw92U8m/upXv5q+/e3vqJK3U0+c1NMmfebRBMMtMpp6cvH8dPPu3arADevhJkvSs3v3puN6QvInn3wc40W52/MCtSzcdtW29I2vfzV967vfTdu2bm0NTu+uyZ6ieFLg0WVUnhcLeEEAAQQQqIWAGx84f456hjJtD18xODQYTzBuzClv9oyXUgXvFmv4ijvuvEMPNVmU1m/YGN2CDx0+pIdgqfuxHrjlrf0gLLcK3L1nT/re974XLQpXrlwRx9Owgwr8NVX8zIkhL3784x+nZUuXpyf/8qTGNHxfN6s+iW7MfqCJy7rNmzan2xVQ/P4Pf5iu3XmtnqS8KI7RdEtClYtxLjqHhsugigNS4xExb+YFOg4UFj9jZv4ESAECCCAwKQEVflGQlytHkFBFpOeRn01KkJUQQACBnhZw8C0ie2WmnwNwDva5qnelunP9lVpsXKXuw6+//noMCn9W4zzNmz8vrVu7LsYR9HiCa9asiQphdGN2RbFUcavCpr5foW5lbuGxfsOGdODNA+mdg+8oUPhJOqsxD69YsChduW5NdFG+6qqrYhB6V+KcNgcXvS+PO+XWiZcz5TRczjasiwACCCBweQLOqyO/1rvLkNxld7luJH33u9+LbsDrN25Iq1auioCbxxuMB4ooIOd8PbYty43FVyxNe265Oa1bvy59455vpHc1XMWHGp7izJkzaUgt3VeuXJk8PMV2lTtr1QJ90YKFZdmgHF87UojPqYgyyi0UV+qhJnd95ct6INeb6cMPPogyZ3BwKPazfftV6eprrklrtM6QApCeHBwsCjDvT2lz0NPzmGopUPWV0d+Dw8aXP3W42eUfiC0QQACBqQoom3Ph7IGBXSi+oUF+//Ef/zH9w//8D+meb94TTw6b6iHYHgEEEECg3gL+7Xqp369+SqT/ndLTis/Ew0yKypSfMDmoitsitQb04O9ex1NR0SrKGM+Lh6S45qWyJgaj1z4cIPQ/T+5e7H2565j3F93Hyv04bd6fW4DEfmOLojJafuQNAQQQQGCGBXxTJx4Cojw7lwXn9OCR4xqi4oKeUuy8/Qq1GHRe3xpSwuWP0p3LoNiuzPMdTPR2Z9XV+LTKirzOvLKscHnhMsXzXT60TxE80jLvz/+8n9Paj9OTyxTvxy3Z4wnHKr+K1vTteynLstGz+FYzgfbfBVUkreMWhVUkjmMggAAC0y2Q78ZUndlO93mwPwQQQACByxNwBcsVJ1fyPLW32osKlea5NcU8PeDElbvl+tx+k8nb5H3kgF7szws0eV50Nysrba4sDmk/HkOqvXLnbTzFMbVuVPv07nSNLZvyurEBLwgggAACMy7gcsFBuVwOOEEuN1artZ7nRb7toN7Ym0raJpcF+T3KAe3PLQj9wKtl2i6XA14Wy30A7Tfe4nXkJbf4mqtjqeCKssuBRQcDnUZvnwOD/j7ePvK+R/bKJwT05wQCAggggAACCCCAAAL9IpArYe3n63muhuXKW/s6sayspLnSto2hSgAAKslJREFU5al9vTwvb+P3vNzr5htU/uzJy72N18mfywXx5pe8z9YMPiCAAAII1FLAeXwO2EUCy/w98nF9bt2UcjlT5v9elsuK+Fzuw/PylD97jvfRKhfKbWM9fY5jl/seW674eysded/ahgmBSwkQKLyUEMsRQKD3BXLB6DNp/9z7Z8YZIIAAAghMUqBVyfqCcsBVp1wxy12CcwXOh/Cy3IqktS/Nj4qYW2pouefHNvkYei/GQNRirZurZ95XPlbel/fjKX+PL7wggAACCNRKIOfxuTxwEM/5e26xF2VB+T3n8/kEcv6ey4D8vb1saN9/bFeWLbEvtxJ0+eJ/5ZQ/tfZVBgLzsf3e2r+3oazJdLxPINBxoDD/QU6wbxYhgAACtRCIgrMsUKPwVaqKwlR38/SZ/KwWl4lEIIAAAl0WcG6v6pIrUWVFKQ5Ydsfy51yZyu+xXC+xpbZzANHf3IbD5Uh89/7KMsbf/fTjmPK7B4mPLYrZPn5U4PTuNT3Qffv6ZSpjlj8zIYAAAgjUSaDImaM0UJ7vsqAoD5SXt2Xa+eZPTnm+AZW/uyyI8sAb6X+XB0X9pHiP8GOUKUWXYW/nssOHyOvFPL948v6cHn30Wrmc8iJ/jweveHuvF/PijRcExhXoOFBY/HmNu09mIoAAAvUTcNmpVEXh6tTpe87H8nv9Ek2KEEAAAQSmTSAqUSoHVFGKClW541FPedQ6UQGLdbxCEdSLepWeWtl00E+PN3ZFy+WJJy9r+omW+s/7ajS1pLXQe/A+NMv79gJ9if0Vm3tBsZ/83e+5YMr7aZvVvhqfEUAAAQSqFlBe7kbkai8eT7uP8iAyeeXdURIoj9f31j0glxleVCxzav25VdaUyc8BvMj+y/VdWLRuQLkMcWHiKa/k/ehrzM3LYnFZRnlhWXY5OfE1r19+11t7keWvTDUUKK98ZSnrOFCY/5ArSykHQgABBDoUiAqZSugo1AdUREaBXhaKwy68XWwyIYAAAgjMeoFxsvv843ukKHAFq6h8uVbl+Q4ORpBQM5rD3kJrtGpdWl8VNM91xS/qat4uY47sOPbqsiiW5m1if621i+1b22qvsWO/jayTF/OOAAIIIFCtQJET51flzMqjNRKgWuwpn1Z+HwHBst7hvN5ZuDN25+FRujhb13pe39uVa2i5F8T/5dziGPqSY44qf8p5xS5d6EQZlfdRHKpYx8FKl0cKNRbr+UskMtbyiw+nqdxnWSbFDmM+L7UT8DWsaOo4UFhR+jgMAgggMD0CUQb6pby9lwvF1vv0HIa9IIAAAgjUXWDsD+2ikjTy+1vL/b8rYPqvmF9UuFwjdNAwJtcONeXlxWcva5/vuSPzxq7jdVv788LxpvJw4y1iHgIIIIBAtQLKtct838ctQ3QqCBz0K7L/Is+PG0y5nIgkesuR8mAgioo8zytoRpnfe+7IVM70Gu2zyxWKeSPrxEr6WpQto9M6stu29fOBxpmVF/HefwIdBwr5O+q/PxbOGIGeFciFqt/Lz9HkX1+dl5Gf9eyVJeEIIIBABwKTyPUVJIxJNbDik14/t1n7jHE+t8/6/MZluketNM65XGr5OJswCwEEEECgiwLj5Mu5zGgdtVwn1ztifjlv1Lrt+2r/3NrR5X8Yu/9J73bSK15+mthiygK5OjvlHU1yB7lpzSRXZzUEEECgRwWK23aReN+lK2KGxWuPnhHJRgABBBBAAAEEEEAAAQQQQGBaBTpuUThuu9dpTRo7QwABBKZJIN9ZK9vruxdA656ZA4jjteOfpkOzGwQQQAABBBBAAAEEEEAAAQQ6Fqi4vkqLwo6vFBsigEDPCFScsfaMCwlFAAEEEEAAAQQQQAABBBBAoE2AQGEbBh8RQKAPBMqgoZ9QyYQAAggggAACCCCAAAIIIIAAAiMCBApHLPiEAAIIIIAAAggggAACCCCAAAIIIIBA3wp0PEYhbXH69m+GE0eg5wRa4xEq5U2NVziSfxWfR7733KmRYAQQQAABBBBAAAEEEEAAAQSmTYAWhdNGyY4QQKCuAg0/zET/N/yvTGRzuD18WNeUky4EEEAAAQQQQAABBBBAAAEEqhMgUFidNUdCAIEaCORAYX6vQZJIAgIIIIAAAggggAACCCCAAAK1EOi467Fb5zAhgAACvSDgBoUNNSd0t+Nms1FmX2UmNqwzID/rhctIGhFAAAEEEEAAAQQQQACB/hSosKVLx4FCVbf78+Jw1ggg0JsCzrIic9UHBwz1tfg3rHd/YkIAAQQQQAABBBBAAAEEEECgXgJFjLC6SCFdj+t1/UkNAgh0QUCNCFuDEzYbRQZLaLAL0OwSAQQQQAABBBBAAAEEEECgpwUIFPb05SPxCCAwaYEyQOj1HSRs5O/5fdI7YkUEEEAAAQQQQAABBBBAAAEEZqdAx12PVcuenSKcFQIIzDqBeOqxz6rMt3KQsKG+yI0B3S8hP5t115wTQgABBBBAAAEEEEAAAQRmhUDF9VVaFM6KvxpOAgEEJhRoy1hzkHDC9VmIAAIIIIAAAggggAACCCCAQB8KECjsw4vOKSOAwEjXYz8JmQkBBBBAAAEEEEAAAQQQQAABBFIiUMhfAQIIzH6BtmAggcHZf7k5QwQQQAABBBBAAAEEEEAAgc4ECBR25sZWCCDQ4wIEDHv8ApJ8BBBAAAEEEEAAAQQQQACBaRcgUDjtpOwQAQR6R6Cpx5kwIYAAAggggAACCCCAAAIIIICABTp+6nGDYb34C0IAgV4SUJ7lfGsgRwbb8jDys166kKQVAQQQQAABBBBAAAEEEOgzgVyPreC0Ow4UptRWy64goRwCAQQQ6FTAQxQ2ymhgDFeol0bOw4adl5GfdWrLdggggAACCCCAAAIIIIAAAt0WqC5SSNfjbl9L9o8AAvUQUCywGJewCAqOhAZHPtUjoaQCAQQQQAABBBBAAAEEEEAAgZkRmEKLwplJMEdFAAEELlsgbr7oxe+NtjsxDh5q1kShwra1L/uwbIAAAggggAACCCCAAAIIIIBALwlMIVBI9bmXLjRpRaC/BRQKdPvp4VLBwcLWPy8gP+vvvw/OHgEEEEAAAQQQQAABBBCoq0C19dXOA4XVprOuV4t0IYBALwjkJoMKDuaPrWQ7LyM/a3HwAQEEEEAAAQQQQAABBBBAoEYCFddXGaOwRteepCCAAAIIIIAAAggggAACCCCAAAIIIDBTAgQKZ0qe4yKAAAIIIIAAAggggAACCCCAAAIIIFAjAQKFNboYJAUBBBBAAAEEEEAAAQQQQAABBBBAAIGZEiBQOFPyHBcBBBBAAAEEEEAAAQQQQAABBBBAAIEaCRAorNHFICkIIIAAAggggAACCCCAAAIIIIAAAgjMlACBwpmS57gIIIAAAggggAACCCCAAAIIIIAAAgjUSIBAYY0uBklBAIHuCTSbzc/tvJk+P2/sSpdeY+wWfEcAAQQQQAABBBBAAAEEEECgNwXmdpxsas8d07EhAghUJ9CeVTlY2Gg04uDjBQ7HTZV24H0UW427BjMRQAABBBBAAAEEEEAAAQQQ6J5AhRXSzgOFk2iJ0z0h9owAAghMXsCNCcv4oKJ+zTQ8PBwbO1jozxMFDSvMjyd/QqyJAAIIIIAAAggggAACCCDQRwLV1UzpetxHf1acKgIIFAK5VWF+xwUBBBBAAAEEEEAAAQQQQAABBFIiUMhfAQIIzGqBuO+il1ZQsGxa2Po+ibOv7t7NJBLDKggggAACCCCAAAIIIIAAAgh0SWAKXY+pOnfpmrBbBBCYZoFGOVRCDg623jXy4MDAwEgQcZzjRk7XPtDhOOswCwEEEEAAAQQQQAABBBBAAIHuCFQbf+s8UFhtOrtjzV4RQKA/BKYa6CO/64+/E84SAQQQQAABBBBAAAEEEKibQMX1Uboe1+0PgPQggECtBKYaY6zVyZAYBBBAAAEEEEAAAQQQQAABBCYQ6LhFIZXnCVRZhAACtRfI3Y8nk1Dyu8kosQ4CCCCAAAIIIIAAAggggMB0C1TcoJCHmUz3BWR/CCDQGwLNJuG/3rhSpBIBBBBAAAEEEEAAAQQQQKAqAboeVyXNcRBAAAEEEEAAAQQQQAABBBBAAAEEEKixAIHCGl8ckoYAAt0VaJZPQ+7uUdg7AggggAACCCCAAAIIIIAAAr0h0PEYhYlue71xhUklAggUAm151uc6HbctgwsBBBBAAAEEEEAAAQQQQACBWgk0qhupkBaFtbryJAYBBLoi0BYZbPizA4M5ODg83JVDslMEEEAAAQQQQAABBBBAAAEEek2g4xaF1cUye42U9CKAQN0EWnHCYXU21u2RnH/5Pf+rW5pJDwIIIIAAAggggAACCCCAAAJVC9CisGpxjocAApULRCvtZiP5vaGXIlCo11YEsfIkcUAEEEAAAQQQQAABBBBAAAEEaifQcYvCkTY5tTsnEoQAAgiMEvBDS4ohHYoQob/EJ780fL+knD9qK74ggAACCCCAAAIIIIAAAgggMNMC1dZXOw8UVpvOmb4qHB8BBHpZwC0HlWeVb8WZRB6mF7/H514+QdKOAAIIIIAAAggggAACCCAwKwUqrq92HCikx96s/PPjpBCY3QJlBuv8K+dh7Z9n98lzdggggAACCCCAAAIIIIAAAr0mUHGcMDFGYa/9hZBeBBCYkkAOEE5pJ2yMAAIIIIAAAggggAACCCCAwCwUIFA4Cy8qp4QAAggggAACCCCAAAIIIIAAAggggMDlChAovFwx1kcAAQQQQAABBBBAAAEEEEAAAQQQQGAWCnQ8RmHVfaRnoT2nhAACFQmM7W5c5F/F6IT+TH5W0YXgMAgggAACCCCAAAIIIIAAArUW6DhQ2Gw9CqDW50fiEEAAAQnkoGAzgoI5/yoCiP42NpQIGgIIIIAAAggggAACCCCAAAIzL1A0bKmueUvHgcJGk4r1zP+5kAIEEJi0gLKs5rAChXOUwSr/cjbbcICwOZzIzyatyIoIIIAAAggggAACCCCAAAKVCqj2Wl2cMHUcKKzUhIMhgAACUxDwfY1Gwzc3HCT0jtrfneNeKteNjbwhEwIIIIAAAggggAACCCCAAAKzVqDjQCHV5ln7N8GJITDLBBQEjDhgQ8FCnVq8FPFCBxCdl106P/OGl15rlsFxOggggAACCCCAAAIIIIAAAjMsENXZCtPQcaDw0i1wKjwLDoUAAghcSkABQnc4jlih1m3ou/9NPi+rOnu+1AmxHAEEEEAAAQQQQAABBBBAAIHpFeg8UFi2ypne5LA3BBBAoAsCeUzVMtbXjKBheZwBzSQ/6wI6u0QAAQQQQAABBBBAAAEEEJiyQMX11YEpJ5gdIIAAAj0kkDsQF60JeyjhJBUBBBBAAAEEEEAAAQQQQACBLgsQKOwyMLtHAIF6CjRzK8N6Jo9UIYAAAggggAACCCCAAAIIIFC5AIHCysk5IAIIIIAAAggggAACCCCAAAIIIIAAAvUTIFBYv2tCihBAAAEEEEAAAQQQQAABBBBAAAEEEKhcgEBh5eQcEAEE6iLQ1HOQmRBAAAEEEEAAAQQQQAABBBBAoBAgUMhfAgIIIIAAAggggAACCCCAAAIIIIAAAgikuZ0bDHe+KVsigAAClQk0iiP54SXKthoDevfn3JhwUg818cp5g8oSzoEQQAABBBBAAAEEEEAAAQT6XsBt/Mp6bQUWHQcKG9SZK7g8HAIBBKYuoA7Gzq8azlh9g6NoSN1Q4M9zGlrof188TbTsi7diCQIIIIAAAggggAACCCCAAALTIlBdnHAqLQqn5VTZCQIIIFCdQCtz9eiECgA2HTh0IJBgYHUXgSMhgAACCCCAAAIIIIAAAgjUVaDjFoVFW5y6nhbpQgABBNoEGjkg6HkOCkZbwtRUK0PnZeRnbVZ8RAABBBBAAAEEEEAAAQQQqI1Aq71LRSniYSYVQXMYBBCYSQFlddH1WFlsY6AY3cEfi08zmTCOjQACCCCAAAIIIIAAAggggEBtBDpuUVhUumtzHiQEAQQQ+GKBYpDCMlioNoU5aOhA4UAOIn7x5ixBAAEEEEAAAQQQQAABBBBAYEYEov5a3ZFpUVidNUdCAIEaCDAaYQ0uAklAAAEEEEAAAQQQQAABBBCopQCBwlpeFhKFAAIIIIAAAggggAACCCCAAAIIIIBAtQIECqv15mgIIIAAAggggAACCCCAAAIIIIAAAgjUUqDjMQqrfupKLfVIFAII9ITA2O7GI/lX8bzjke89cTokEgEEEEAAAQQQQAABBBBAAIGuCNCisCus7BQBBOokEIFARQsb/pcTNjZ6mOfzjgACCCCAAAIIIIAAAggggECfChAo7NMLz2kj0E8C8dDjfMJlgLCRiBRmEt4RQAABBBBAAAEEEEAAAQQQsEDHXY+pY/MHhAACvSXQTE1FDP1keQcOW2HCYZ1F60tvnRGpRQABBBBAAAEEEEAAAQQQ6AOBVte47p9rx4FCVbm7nzqOgAACCEyXgLOsVuZa5GBFwHBYuRn52XQxsx8EEEAAAQQQQAABBBBAAIHpEyiqsa3K7PTt+Av21HGg8Av2x2wEEECgdgJN56llvjoqJFhdXls7ExKEAAIIIIAAAggggAACCCCAwFgBxigcK8J3BBCYlQKOCUaQUH2Po3Gh+yAzIYAAAggggAACCCCAAAIIIIBAS6DzFoVUsluIfEAAgXoLNNzH+AvyrKbnf8Gyep8VqUMAAQQQQAABBBBAAAEEEJj1AhXXV2lROOv/ojhBBBDIAo0yg229qz9y/pzX4R0BBBBAAAEEEEAAAQQQQACBfhUgUNivV57zRgABBBBAAAEEEEAAAQQQQAABBBBAoE2AQGEbBh8RQAABBBBAAAEEEEAAAQQQQAABBBDoVwEChf165TlvBBBAAAEEEEAAAQQQQAABBBBAAAEE2gQIFLZh8BEBBBBAAAEEEEAAAQQQQAABBBBAAIF+FSBQ2K9XnvNGoN8F9LBjJgQQQAABBBBAAAEEEEAAAQQQGBEgUDhiwScEEJjNAs3m6LPT16b+Y0IAAQQQQAABBBBAAAEEEEAAgUKAQCF/CQgg0BcCY0OCzbGBw75Q4CQRQAABBBBAAAEEEEAAAQQQ+GKBuV+8aOIlVLIn9mEpAgjUS8A9jZ1vNRqNeE9l1+Ph4eHie72SS2oQQAABBBBAAAEEEEAAAQQQCAHXY6uaaFFYlTTHQQCBGRUYm7E2cqRwRlPFwRFAAAEEEEAAAQQQQAABBBCojwCBwvpcC1KCAAJdFhjvHszYAGKXk8DuEUAAAQQQQAABBBBAAAEEEKitQMddj6lc1/aakjAEEBgrkMcjLJtr5/zLrQr9OX8fuxnfEUAAAQQQQAABBBBAAAEEEJhJgarrq7QonMmrzbERQAABBBBAAAEEEEAAAQQQQAABBBCoiQCBwppcCJKBAAIIIIAAAggggAACCCCAAAIIIIDATAoQKJxJfY6NAAIIIIAAAggggAACCCCAAAIIIIBATQQIFNbkQpAMBBBAAAEEEEAAAQQQQAABBBBAAAEEZlKAQOFM6nNsBBBAAAEEEEAAAQQQQAABBBBAAAEEaiJAoLAmF4JkIIBAdQKN1qGarU98QAABBBBAAAEEEEAAAQQQQKDfBeb2OwDnjwAC/SCggGDTQcFmavijT1nf470fTp9zRAABBBBAAAEEEEAAAQQQQGASAh0HChvN4UnsnlUQQACBmReIGGFECBUabKg9YeRfChqm4dQYvqjgIfnZzF8lUoAAAggggAACCCCAAAIIIPB5AXUGdj22oqnjQGFF6eMwCCCAwNQFHCRUWND/+f/ixR/a/3n+eBPtDsdTYR4CCCCAAAIIIIAAAggggMDsE+g4UEjVefb9MXBGCMxeAQ/H6n9uORiRQr023BE5Tnni/MzrTLxG7IQXBBBAAAEEEEAAAQQQQAABBKZZoKi1TvNOJ9hdx4HCXNmeYN8sQgABBOojoNzVgUFnspHR6iXey9eJE1qsOfE6LEUAAQQQQAABBBBAAAEEEECgtwU6DxRSb+7tK0/qEegbAWVWMUjhyAk3Nb5D0UZQ7wNaPqnxHmhVOCLIJwQQQAABBBBAAAEEEEAAgUoEKo6/dR4onFQrnErIOAgCCCAwOQHHDCe35jhrVZw7j5MCZiGAAAIIIIAAAggggAACCPSbQLV1UQ/axYQAAggggAACCCCAAAIIIIAAAggggAACfS5AoLDP/wA4fQT6VaAxqe7G/arDeSOAAAIIIIAAAggggAACCPSjAIHCfrzqnDMCCGjYws47IcOHAAIIIIAAAggggAACCCCAwGwUIFA4G68q54QAAggggAACCCCAAAIIIIAAAggggMBlChAovEwwVkcAgR4UUOPBVgvCsiGhv/s/JgQQQAABBBBAAAEEEEAAAQQQKAQ6f+pxcxhDBBBAoCcEHA4c0JPam8PN1PDtkeHh4rntXqDPiiJe4jwutfwSm7MYAQQQQAABBBBAAAEEEEAAgY4EVImtcIz9jgOF1T6cuSNJNkIAAQRCIIf5cr6VvytCGMvzfLgQQAABBBBAAAEEEEAAAQQQ6GeBjgOF/YzGuSOAQG8JDLQigWpR6Dsx+XvDgcL8r7fOidQigAACCCCAAAIIIIAAAgggMN0CUwgU5pr2dCeJ/SGAAALTK+CxCBsKCkaQULt2N+QiXhifNIf8bHrF2RsCCCCAAAIIIIAAAggggEAvCnQeKKRe3YvXmzQj0JcCjaYzrAGFCz02oT5H/lVmYh6zsPzYlzicNAIIIIAAAggggAACCCCAQH0FKq6vdhwoVNuc+iKSMgQQQKBdQNlV5Fh+UVPCyL9iMFh/dgCR/Kydi88IIIAAAggggAACCCCAAAL1EIjGLhUmxW1pmBBAAIHZLdB6qrECg63Ps/uUOTsEEEAAAQQQQAABBBBAAAEELleAQOHlirE+AgjMCgEChrPiMnISCCCAAAIIIIAAAggggAAC0yhAoHAaMdkVAggggAACCCCAAAIIIIAAAggggAACvSrQ8RiFjOjVq5ecdCPQfwLNMac8kn8VoxOOfB+zIl8RQAABBBBAAAEEEEAAAQQQ6CMBWhT20cXmVBHoawFFCx0Q9L8IHOplbACxr304eQQQQAABBBBAAAEEEEAAgb4XIFDY938CACAw+wVaLQZzZFAPNMlBQz3dZPYDcIYIIIAAAggggAACCCCAAAIITEKg467HNMWZhC6rIIBALQQcC2w0mhETbLQCg2WA0G/ECmtxnUgEAggggAACCCCAAAIIIIDAOAKt1i/jLJvmWR0HClXlnuaksDsEEECgiwLOshQsTKloSO1Pjhk6LyM/66I7u0YAAQQQQAABBBBAAAEEEOhYoIgRVhcppOtxx5eKDRFAoGcEWv2MleKcvzb0IX/umRMhoQgggAACCCCAAAIIIIAAAgh0T4BAYfds2TMCCNRJIAKDRWTQrQmZEEAAAQQQQAABBBBAAAEEEEBgtACBwtEefEMAgVkuEEFCBw01NdykcIBscJZfck4PAQQQQAABBBBAAAEEEEBgkgIdj1GoJwNM8hCshgACCMywQOsBJkU6Ppd7kZ/N8AXi8AgggAACCCCAAAIIIIAAAuMKVFxfpSnNuFeBmQgggAACCCCAAAIIIIAAAggggAACCPSXQMctCj/XIqe/3DhbBBDoIYE8JmHOt/K7n3nszyPfe+ikSCoCCCCAAAIIIIAAAggggAAC0yxAi8JpBmV3CCBQP4EYi7CMFuZMb6DVfJswYf2uGClCAAEEEEAAAQQQQAABBBCYCYFcZ56JY3NMBBBAoFKBIiRYvDaH86Fze8P8nXcEEEAAAQQQQAABBBBAAAEE+lOg467H6rHHhAACCPSEQDO6GDdS8UwTf/NUZmJ+Iz8LEV4QQAABBBBAAAEEEEAAAQRqKFBhR7jOA4XUrGv4l0OSEEBgXAEHAhsKEOq9ofciYlhGByN6WH4ed2NmIoAAAggggAACCCCAAAIIIDCTAtVFCul6PJPXmWMjgEB1AhEL9EvZ9dhHbs2rLhkcCQEEEEAAAQQQQAABBBBAAIG6ChAorOuVIV0IIDBtAqOeW6I4YREqbH2YtuOwIwQQQAABBBBAAAEEEEAAAQR6WWAKXY+LqnYvnzxpRwCBfhFQ00FFC51r5SDhSA7m+yUj3/pFhPNEAAEEEEAAAQQQQAABBBDoBYFq66udBwqrTWcvXDnSiAACdRWILsZOXJlxtb8RJ6zrVSNdCCCAAAIIIIAAAggggAACFcff6HrMnxwCCCCAAAIIIIAAAggggAACCCCAAAIIJAKF/BEggEB/ClR8V6Y/kTlrBBBAAAEEEEAAAQQQQACBXhIgUNhLV4u0IoDAtAkQJ5w2SnaEAAIIIIAAAggggAACCCAwSwQIFM6SC8lpIIDARALtYcH8Ob9PtB3LEEAAAQQQQAABBBBAAAEEEOgfAQKF/XOtOVMEEGgTaDZbTzhpm8tHBBBAAAEEEEAAAQQQQAABBPpXgEBh/157zhyBPhJoDwq2f+4jAk4VAQQQQAABBBBAAAEEEEAAgUsIzL3E8i9eTF37i21YggACtRJw48FG2dPYn3NjwsjG/BIfapVkEoMAAggggAACCCCAAAIIIIBAIVDhyFmdBwqpWfPnigACPSXQVICwWQYM26KDETUkUthTl5LEIoAAAggggAACCCCAAAJ9JVBdpJCux331h8XJItDHAq1YYJHBtr5y06OP/yg4dQQQQAABBBBAAAEEEEAAgXYBAoXtGnxGAIFZKVB0O24UrQkVJyxChdXdkZmVqJwUAggggAACCCCAAAIIIIDArBOYQtdjKtmz7q+BE0Jg1gqo/WCZZeUg4UgO5vslI99mLQEnhgACCCCAAAIIIIAAAggg0IMC1dZXOw8UVpvOHryQJBkBBGoj0OpnXGZcftO/+EacsDaXiYQggAACCCCAAAIIIIAAAgiMESirsWPmdu0rXY+7RsuOEUCgPgLtOWvxuX1OfdJJShBAAAEEEEAAAQQQQAABBBCYOQEChTNnz5ERQKAqgXGjguPOrCpFHAcBBBBAAAEEEEAAAQQQQACB2gkQKKzdJSFBCCBQhUCrN3IVB+MYCCCAAAIIIIAAAggggAACCPSAAIHCHrhIJBEBBKYoMCoqWH5pjpo5xQOwOQIIIIAAAggggAACCCCAAAK9L0CgsPevIWeAAAKXFCAoeEkiVkAAAQQQQAABBBBAAAEEEOh7AQKFff8nAAACs1+gaDxYBAtHGhISPJz9V54zRAABBBBAAAEEEEAAAQQQuByBuZez8qh1qWOP4uALAgjUX6CpKGFDzzBxsNBZWGRjw/lD/dNPChFAAAEEEEAAAQQQQAABBPpQoMJncXYeKCyq2H14dThlBBDoSYFRNzfKL0QKe/JSkmgEEEAAAQQQQAABBBBAoL8EqosU0vW4v/6yOFsEEEAAAQQQQAABBBBAAAEEEEAAAQTGFSBQOC4LMxFAYPYJNKLbcUp6n30nxxkhgAACCCCAAAIIIIAAAgggMGWBzrsee6AvJgQQQKAXBDwoYWRZZb6l/Kv1dUD3S8jPeuEqkkYEEEAAAQQQQAABBBBAoP8EKq6v0qKw//7EOGME+k5gVL5axgr1WJO+c+CEEUAAAQQQQAABBBBAAAEEEJhIgEDhRDosQwCBWSEQzyxRXLDpf/mMiBNmCd4RQAABBBBAAAEEEEAAAQQQCIGOux63KttAIoAAAj0m4PyrEc0MGxE4JD/rsQtIchFAAAEEEEAAAQQQQACBPhGouo0LLQr75A+L00SgrwXa+h4XAcK+1uDkEUAAAQQQQAABBBBAAAEEEBhXgEDhuCzMRACBWSvgB5toapbvs/Y8OTEEEEAAAQQQQAABBBBAAAEELlOAQOFlgrE6Agj0oABBwR68aCQZAQQQQAABBBBAAAEEEECgaoGOxyhUc5yq08rxEEAAgakJxOCEGp9Q761xHjyP/GxqrmyNAAIIIIAAAggggAACCCDQPYG24bS6d5Biz7Qo7LYw+0cAgdoIFI8u8ZOPixsdfm80h2uTPhKCAAIIIIAAAggggAACCCCAwEwKdNyisNUaZyZTz7ERQACBSQhEg8FhhQXdkrCIERafy23JzyaByCoIIIAAAggggAACCCCAAAKzXoAWhbP+EnOCCCAQAq1oYBEpzK0L0UEAAQQQQAABBBBAAAEEEEAAgUKg4xaFzQr7R3OxEEAAgakJlM0IPTKh8y79U6fj6IDcHBhI5GdT02VrBBBAAAEEEEAAAQQQQACB7gg0Ko6/0aKwO9eRvSKAQN0EnLkqx3PIMBoXOl5YtzSSHgQQQAABBBBAAAEEEEAAAQRmUIBA4Qzic2gEEKhIoO0OjO/GRLAw5hEqrOgKcBgEEEAAAQQQQAABBBBAAIEeECBQ2AMXiSQigAACCCCAAAIIIIAAAggggAACCCDQbQEChd0WZv8IIFAvgXgEcr2SRGoQQAABBBBAAAEEEEAAAQQQqIMAgcI6XAXSgAAC3RUYJzjYHGdedxPB3hFAAAEEEEAAAQQQQAABBBCotwCBwnpfH1KHAALTKVA+/NgjEzI64XTCsi8EEEAAAQQQQAABBBBAAIHZIDC305Ogkt2pHNshgEDVAhEf1MuofCu+N2PeqPlVJ47jIYAAAggggAACCCCAAAIIIFATgY4DhYluezW5hCQDAQQuJTASCHRgUN/K/CsCiMPDre+X2g/LEUAAAQQQQAABBBBAAAEEEKhcoDFSq+32sel63G1h9o8AAjURaEZ80MHB/K8mCSMZCCCAAAIIIIAAAggggAACCNRCoOMWhdESpxanQCIQQACBiQXcgHDADQm12shDTBQ49Pfy38R7YCkCCCCAAAIIIIAAAggggAAC1QtU15awODdaFFZ/jTkiAgjMgIADgg1HCzWNCg42yAYDhRcEEEAAAQQQQAABBBBAAIG+F+i4RWGqsH90318lABBAYEoCDYUGGznP0rs/j3zXrvOyKR2FjRFAAAEEEEAAAQQQQAABBBCYZoGK66s0pZnm68fuEECghgJtGWsOEEawcPRzkGuYcJKEAAIIIIAAAggggAACCCCAQHUCBAqrs+ZICCAwUwLlU44dHBwZo7BITA4czlTSOC4CCCCAAAIIIIAAAggggAACdREgUFiXK0E6EECg6wLtQcL8Ob93/eAcAAEEEEAAAQQQQAABBBBAAIGaCxAorPkFInkIIIAAAggggAACCCCAAAIIIIAAAghUIUCgsApljoEAArURqPrR8rU5cRKCAAIIIIAAAggggAACCCCAwCUEOn7qcaMc8+sS+2cxAgggMOMCzZwCf1Ck0PlXETDUuz+Tn2Uh3hFAAAEEEEAAAQQQQAABBOom0PaAzm4nreNAYavi3e0Usn8EEEBgOgSUaeXWhJF/6aV4bxbv03EM9oEAAggggAACCCCAAAIIIIDANArkeuw07nLCXXUcKKw6oROeBQsRQACBCQRyQLAIDea2hG5ZWGxEfjYBHosQQAABBBBAAAEEEEAAAQT6RoAxCvvmUnOiCPSxgAOCigZGD+N4cWhQMyNCSJiwj/8yOHUEEEAAAQQQQAABBBBAAIE2gY5bFDYr7B/dll4+IoAAApcvkMcgHHBQUP/K2KDjh03NIz+7fFK2QAABBBBAAAEEEEAAAQQQ6L5Ao+L4Gy0Ku39NOQICCMy0QMQHi+hgM8cJldn6PyYEEEAAAQQQQAABBBBAAAEEECgECBTyl4AAAn0nUA5N2HfnzQkjgAACCCCAAAIIIIAAAgggMJEAgcKJdFiGAAIIIIAAAggggAACCCCAAAIIIIBAnwgQKOyTC81pIoAAAggggAACCCCAAAIIIIAAAgggMJEAgcKJdFiGAAIIIIAAAggggAACCCCAAAIIIIBAnwgQKOyTC81pIoAAAggggAACCCCAAAIIIIAAAgggMJEAgcKJdFiGAAIIIIAAAggggAACCCCAAAIIIIBAnwh0HChsNBp9QsRpIoBAzwsov2o2m2lgYCA571qxYkX6yU9+knbs2JHmzJnT86fHCSCAAAIIIIAAAggggAACCMxOAddlq5waOmC1R6zy7DgWAggggAACCCCAAAIIIIAAAggggAACCExKoOMWhZPaOyshgAACCCCAAAIIIIAAAggggAACCCCAQE8IECjsictEIhFAAAEEEEAAAQQQQAABBBBAAAEEEOiuAIHC7vqydwQQQAABBBBAAAEEEEAAAQQQQAABBHpCgEBhT1wmEokAAggggAACCCCAAAIIIIAAAggggEB3BQgUdteXvSOAAAIIIIAAAggggAACCCCAAAIIINATAgQKe+IykUgEEEAAAQQQQAABBBBAAAEEEEAAAQS6K0CgsLu+7B0BBBBAAAEEEEAAAQQQQAABBBBAAIGeECBQ2BOXiUQigAACCCCAAAIIIIAAAggggAACCCDQXQEChd31Ze8IIIAAAggggAACCCCAAAIIIIAAAgj0hACBwp64TCQSAQQQQAABBBBAAAEEEEAAAQQQQACB7goQKOyuL3tHAAEEEEAAAQQQQAABBBBAAAEEEECgJwQIFPbEZSKRCCCAAAIIIIAAAggggAACCCCAAAIIdFeAQGF3fdk7AggggAACCCCAAAIIIIAAAggggAACPSHw/wOTz8ds5woEtgAAAABJRU5ErkJggg==" alt></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about resolution.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two point sources S<sub>1</sub> and S<sub>2 </sub>emit monochromatic light of the same wavelength. The light is incident on a small aperture A and is then brought to focus on a screen.</p>
<p><img 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" alt></p>
<p>The images of the two sources on the screen are just resolved according to the Rayleigh criterion. Sketch, using the axes below, how the relative intensity <em>I</em> of light on the screen varies with distance along the screen <em>d</em>.</p>
<p><img src="data:image/png;base64,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" alt></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>A car is travelling at night along a straight road. Diane is walking towards the car. She sees the headlights of the car as one single light. Estimate, using the data below, the separation <em>d</em> between Diane and the car at which, according to the Rayleigh criterion, Diane will just be able to see the headlights as two separate sources.</p>
<p>Distance between the headlights = 1.4 m<br>Average wavelength of light emitted by the headlights = 500 nm<br>Diameter of the pupils of Diane’s eyes = 1.9 mm</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from the car headlights in (b) is not polarized. State what is meant by polarized light.</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><img 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" alt></p>
<p>correct shape of two diffraction patterns showing central maximum and at least one secondary maximum each side of central maximum;<br>intensity of secondary maxima no greater than one third intensity of central maxima; } <em>(judge by eye)</em><br>first minimum of one pattern coincident with central maximum of other pattern;</p>
<p><strong>or</strong></p>
<p><em>Allow just the approximate dotted resultant intensity patterns:</em><br>correct pattern of two symmetrical principal maxima;<br>with local minimum between them;<br>at least one secondary maximum on each side which are no more than \(\frac{1}{3}\) of the intensity of the principal maxima;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>angular separation for resolution=\(1.22\frac{\lambda }{b} = 1.22 \times \frac{{5.0 \times {{10}^{ - 7}}}}{{1.9 \times {{10}^{ - 3}}}} = \left( {3.21 \times {{10}^{ - 4}}} \right)\left( {{\rm{rad}}} \right)\);<br>=\(\frac{{1.4}}{d}\);<br><em>d</em>=4.4(km);<br><em>Award <strong>[2 max]</strong> if 1.22 not used and answer is 5.3 km.</em><br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>light in which the electric/magnetic field (vector) vibrates only in one plane/direction;</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>