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</div><h2>SL Paper 3</h2><div class="specification">
<p>An optic fibre of length 185 km has an attenuation of 0.200 dB km<sup>–1</sup>. The input power to the cable is 400.0 μW. The output power from the cable must not fall below 2.0 μW.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An optic fibre of refractive index 1.4475 is surrounded by air. The critical angle for the core – air boundary interface is 44°. Suggest, with a calculation, why the use of cladding with refractive index 1.4444 improves the performance of the optic fibre.</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>Calculate the maximum attenuation allowed for the signal.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An amplifier can increase the power of the signal by 12 dB. Determine the minimum number of amplifiers required.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with wavelength of the refractive index of the glass from which the optic fibre is made.</p>
<p> <img src="images/Schermafbeelding_2018-08-13_om_09.07.29.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/10.b.ii"></p>
<p>Two light rays enter the fibre at the same instant along the axes. Ray A has a wavelength of <em>λ</em><sub>A</sub> and ray B has a wavelength of <em>λ</em><sub>B</sub>. Discuss the effect that the difference in wavelength has on the rays as they pass along the fibre.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In many places clad optic fibres are replacing copper cables. State <strong>one </strong>example of how fibre optic technology has impacted society.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Communication signals are transmitted through optic fibres using infrared radiation.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> advantages of optic fibres over coaxial cables for these transmissions.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why infrared radiation rather than visible light is used in these transmissions.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A signal with an input power of 15 mW is transmitted along an optic fibre which has an attenuation per unit length of 0.30 dB\(\,\)km<sup>–1</sup>. The power at the receiver is 2.4 mW.</p>
<p>Calculate the length of the fibre.</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>State and explain why it is an advantage for the core of an optic fibre to be extremely thin.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A ray of light travelling in an optic fibre undergoes total internal reflection at point P.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.49.40.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/09"></p>
<p>The refractive index of the core is 1.56 and that of the cladding 1.34.</p>
</div>
<div class="specification">
<p>The input signal in the fibre has a power of 15.0 mW and the attenuation per unit length is 1.24 dB km<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the critical angle at the core−cladding boundary.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The use of optical fibres has led to a revolution in communications across the globe. Outline <strong>two </strong>advantages of optical fibres over electrical conductors for the purpose of data transfer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the axes an output signal to illustrate the effect of waveguide dispersion.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the power of the output signal after the signal has travelled a distance of 3.40 km in the fibre.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the use of a graded-index fibre will improve the performance of this fibre optic system.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about optical fibres.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by material dispersion.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>The signal shown below is fed into a monomode optical fibre.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_18.40.41.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/F2.c"></p>
<p class="p1">On the diagram above, show the effects of material dispersion on the input signal by drawing the shape of the signal after it has travelled a long distance in the optical fibre.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State and explain how the effects on the signal drawn in (c)(i) may be reduced.</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">The data in (d) are confidential and must be protected. Without taking financial costs into account, outline whether a direct optical fibre connection <strong>or </strong>a transmission through a geosynchronous satellite would be more suitable for the transfer of these data.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>Two converging lenses placed a distance 90 cm apart are used as a simple astronomical refracting telescope at normal adjustment. The angular magnification of this arrangement is 17.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the focal length of each lens.</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 telescope is used to form an image of the Moon. The angle subtended by the image of the Moon at the eyepiece is 0.16 rad. The distance to the Moon is 3.8 x 10<sup>8</sup> m. Estimate the diameter of the Moon.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> advantages of the use of satellite-borne telescopes compared to Earth-based telescopes.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxIAAAC0CAYAAAAAaRqlAAAP1klEQVR4Ae3dT6hcdxUH8HNjUBfRVRAyKeJC/LMQCgZc2IVNFw+lgrQSXQhKVoJKKbQMBFcqaCCYjYqroWJxIahFNxZxiNuIINTFcxbFLkw2b/XMIhWcK/PQoum9Qx7c/O79nfsJpLT3Tn/ndz7nN535Zqa8pm3bNvwiQIAAAQIECBAgQIDAKQTOnOKxHkqAAAECBAgQIECAAIETAUHCQSBAgAABAgQIECBA4NQCTUT4atOp2fwLBAgQIECAAAECBOYl8OD/EXF2d6FpmnjwxrxYdEuAAAECBAgQIECAQJdAX1bw1aYuLdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgS0CQ6FJxjQABAgQIECBAgACBvQKCxF4eNwkQIECAAAECBAgQ6BIQJLpUXCNAgAABAgQIECBAYK+AILGXx00CBAgQIECAAAECBLoEBIkuFdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgS0CQ6FJxjQABAgQIECBAgACBvQKCxF4eNwkQIECAAAECBAgQ6BIQJLpUXCNAgAABAgQIECBAYK+AILGXx00CBAgQIECAAAECBLoEBIkuFdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgSyBHkLh3O248+clYro+6enSNAAECBAgQIECAAIGBBeoPEvf+Ej/59nfjV7feHJjGcgQIECBAgAABAgQI9AlUHCT+GXf/9NNYfm0dH73ymTjX16HrBAgQIECAAAECBAgMLlBtkNhuXo6vvPB6HHzvq3HpPe8YHMaCBAgQIECAAAECBAj0C5ztvzXtO2cWT8dLvzkfF86die0/pr1XuyNAgAABAgQIECCQTaDaIBHn3hcXsk1DPwQIECBAgAABAgQqEaj2q02V+NomAQIECBAgQIAAgZQCgkTKsWqKAAECBAgQIECAwKMVECQera/VCRAgQIAAAQIECKQUECRSjlVTBAgQIECAAAECBB6tgCDxaH2tToAAAQIECBAgQCClQOogsd2s4qBpYrFcx/Ekx3c/Nqsr0TSXYrk+6t3hQ/WxPYzVwSKaxbVYH2971ipdL6LevZe2Um93aJ2XHcIUn8vZz6ezd/Ki4exFRPazrr/Jvtb0vHOb+uWmbdu2aZpo23bqe7U/AgQIECBAgAABAgQKC/RlhdSfSBQ2Vo4AAQIECBAgQIDAbAQEidmMWqMECBAgQIAAAQIEhhMQJIaztBIBAgQIECBAgACB2QgIErMZtUYJECBAgAABAgQIDCcgSAxnaSUCBAgQIECAAAECsxEQJGYzao0SIECAAAECBAgQGE5AkBjO0koECBAgQIAAAQIEZiMgSMxm1BolQIAAAQIECBAgMJyAIDGcpZUIECBAgAABAgQIzEZAkJjNqDVKgAABAgQIECBAYDgBQWI4SysRIECAAAECBAgQmI2AIDGbUWuUAAECBAgQIECAwHACgsRwllYiQIAAAQIECBAgMBsBQWI2o9YoAQIECBAgQIAAgeEEBInhLK1EgAABAgQIECBAYDYCgsRsRq1RAgQIECBAgAABAsMJCBLDWVqJAAECBAgQIECAwGwEBInZjFqjBAgQIECAAAECBIYTECSGs7QSAQIECBAgQIAAgdkICBKzGbVGCRAgQIAAAQIECAwnIEgMZ2klAgQIECBAgAABArMRECRmM2qNEiBAgAABAgQIEBhOQJAYztJKBAgQIECAAAECBGYjIEjMZtQaJUCAAAECBAgQIDCcgCAxnKWVCBAgQIAAAQIECMxGQJCYzag1SoAAAQIECBAgQGA4AUFiOEsrESBAgAABAgQIEJiNgCAxm1FrlAABAgQIECBAgMBwAoLEcJZWIkCAAAECBAgQIDAbAUFi1FHfj83qSjTNpViuj3p3st2s4qBpYrFcx3Hfo7aHsTpYRLO4Fuvjbc+jSteLqHfvpa3U2x1a52WHMMXncvbz6eydvGg4exGR/azrb7KvNT3v3KZ+uWnbtm2aJtq2nfpe7Y8AAQIECBAgQIAAgcICfVnBJxKFB6EcAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMgjUGyTubWK9WsaTTRPNye+PxZdvvBqbe9sMc9EDAQIECBAgQIAAgUkL1Bkktm/EL597Nr70h/fH9TtvRtu28a87P47HX3shPvXcK/F3WWLSh87mCBAgQIAAAQIE6hdo2rZtd3+iv3szXsuv7WYVn/7wj+Lx3/82rl8+/9a2+66/9QB/Q4AAAQIECBAgQIDAqQT6ssLZU60ykQef+dDVeLW92rObO/Hnvx3FNs5HnR+39LTlMgECBAgQIECAAIEJCSR8r/1EfOGJDwgREzpktkKAAAECBAgQIJBPIE+Q2L4Rr1y/Ga9d/WIcfPDd+SalIwIECBAgQIAAAQITEqjyq01v9zuOw5e+FV9//fPx8s+ejot54tHbW3WFAAECBAgQIECAwAQEEgSJ4zhcPR+XvxnxnfXzcfnCOyfAagsECBAgQIAAAQIEcgvU/Wf327tx++Y3/hMibsbVj7w397R0R4AAAQIECBAgQGAiAtUGie3d38W1pz4en/j1xfjBLSFiIufJNggQIECAAAECBGYiUOXPkYh7t+PGZz8XL/71mfjFH78fz1z0daaZnFdtEiBAgAABAgQIFBbo+zkSFX4icT82P78RL966G3H3h/HsY++KXXP/+3uxXMdxROx+QN1B08R//7mw+UOUux+b1ZVomkuxXB/1Pv6h+tgexupgEc3iWqyP+360d+l6DzmDSe69tJV6uydAvWfd/Oqen7N38gLkv8UR4blc93O54vmdPAnr+0udn0jU52zHBAgQIECAAAECBKoUSPSJRJX+Nk2AAAECBAgQIEAglUCFX21K5a8ZAgQIECBAgAABAlUKCBJVjs2mCRAgQIAAAQIECIwrIEiM6686AQIECBAgQIAAgSoFBIkqx2bTBAgQIECAAAECBMYVECTG9VedAAECBAgQIECAQJUCgkSVY7NpAgQIECBAgAABAuMKCBLj+qtOgAABAgQIECBAoEoBQaLKsdk0AQIECBAgQIAAgXEFBIlx/VUnQIAAAQIECBAgUKWAIFHl2GyaAAECBAgQIECAwLgCgsS4/qoTIECAAAECBAgQqFJAkKhybDZNgAABAgQIECBAYFwBQWJcf9UJECBAgAABAgQIVCkgSFQ5NpsmQIAAAQIECBAgMK6AIDGuv+oECBAgQIAAAQIEqhQQJKocm00TIECAAAECBAgQGFdAkBjXX3UCBAgQIECAAAECVQoIElWOzaYJECBAgAABAgQIjCsgSIzrrzoBAgQIECBAgACBKgUEiSrHZtMECBAgQIAAAQIExhUQJMb1V50AAQIECBAgQIBAlQKCRJVjs2kCBAgQIECAAAEC4woIEuP6q06AAAECBAgQIECgSgFBosqx2TQBAgQIECBAgACBcQUEiXH9VSdAgAABAgQIECBQpYAgUeXYbJoAAQIECBAgQIDAuAKCxLj+qhMgQIAAAQIECBCoUkCQqHJsNk2AAAECBAgQIEBgXAFBYlT/+7FZXYmmuRTL9VHvTrabVRw0TSyW6zjue9T2MFYHi2gW12J9vO15VOl6EfXuvbSVertD67zsEKb4XM5+Pp29kxcNZy8isp91/U32tabnndvULzdt27ZN00TbtlPfq/0RIECAAAECBAgQIFBYoC8r+ESi8CCUI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgJNRLSFaypHgAABAgQIECBAgEBlAm37/7Hh7IMXKuvHdgkQIECAAAECBAgQGEHAV5tGQFeSAAECBAgQIECAQO0CgkTtE7R/AgQIECBAgAABAiMICBIjoCtJgAABAgQIECBAoHYBQaL2Cdo/AQIECBAgQIAAgREEBIkR0JUkQIAAAQIECBAgULuAIFH7BO2fAAECBAgQIECAwAgCgsQI6EoSIECAAAECBAgQqF1AkKh9gvZPgAABAgQIECBAYASBfwOatqowBh/7kAAAAABJRU5ErkJggg=="></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about lasers and diffraction gratings.</p>
</div>
<div class="question">
<p>(i) Describe the pattern produced on a screen by a red laser beam incident on a diffraction grating.</p>
<p>(ii) Laser light of wavelength 632 nm is incident on a diffraction grating having 600 lines per mm. Determine the angular separation between the first and second order maxima.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about a converging lens.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>angular magnification.</em></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A thin converging lens of focal length 4.5 cm is to be used as a magnifying glass. The observer places the lens close to her eye. The least distance of distinct vision is 24 cm.</p>
<p>(i) Show that the distance of the object from the lens is 3.8 cm.</p>
<p>(ii) Determine the angular magnification produced by the lens.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest <strong>two</strong> reasons why, for high magnifications, a combination of lenses is used rather than a single lens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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>
<br><hr><br><div class="specification">
<p>This question is about optic fibre transmission.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to the critical angle, what is meant by total internal reflection</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>In an optic fibre the refractive index of the core is 1.62. The refractive index for the cladding is 1.50. Determine the critical angle for the boundary between the core and the cladding.</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>State <strong>one</strong> effect of dispersion on a pulse that has travelled along an optic fibre.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a magnifying glass.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the <em>angular magnification</em> of a magnifying glass.</p>
<p>(ii) Derive an equation for the angular magnification of a magnifying glass with the image at infinity.</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>An object is positioned 8.00 cm from a magnifying glass of focal length 15.0 cm.</p>
<p>(i) Calculate the position of the image.</p>
<p>(ii) Calculate the linear magnification.</p>
<p>(iii) The image is upright and magnified. State a further property of the image.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about an astronomical telescope.</p>
<p class="p1">The diagram (not to scale) shows the arrangement of the two convex lenses in an astronomical telescope in normal adjustment.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_14.22.03.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/G2"></p>
<p class="p1">The telescope is used to observe a distant star. One of the focal points of the eyepiece lens is labelled \({F_{\text{E}}}\).</p>
</div>
<div class="specification">
<p class="p1">On the diagram above,</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>label, with the symbol \({F_{\text{E}}}\), the position of the other focal point of the eyepiece lens.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>label, with the symbol \({F_{\text{O}}}\), the position of the focal point of the objective lens that is in between the two lenses.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>construct rays to locate the final image of the star.</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 class="p1">In a particular astronomical telescope, the eyepiece lens has a power of 40 dioptres and the objective lens a power of 0.80 dioptres. Determine the angular magnification of the telescope in normal adjustment.</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">In an astronomical telescope the objective is often made up from a diverging and a converging lens, whereas the aperture of the eyepiece is usually restricted such that only rays close to the principal axis are viewed. State the reasons for this.</p>
<p class="p1">Objective lens:</p>
<p class="p1">Eyepiece lens:</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A lamp is located 6.0 m from a screen.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Somewhere between the lamp and the screen, a lens is placed so that it produces a real inverted image on the screen. The image produced is 4.0 times larger than the lamp.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the nature of the lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance between the lamp and the lens.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the focal length of the lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lens is moved to a second position where the image on the screen is again focused. The lamp–screen distance does not change. Compare the characteristics of this new image with the original image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>An astronomical telescope is used in normal adjustment. The separation of the lenses in the telescope is 0.84m. The objective lens has a focal length of 0.82m.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnification of this telescope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why sign convention is necessary in optics.</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>A student decides to reverse the positions of the same lenses without changing the separation to form an optical microscope in normal adjustment. The student’s near point is 0.25 m from her eye.</p>
<p>(i) Show, using a calculation, that the image formed by the objective lens is about 0.19 m from the eyepiece.</p>
<p>(ii) Calculate the distance between the objective lens of the microscope and the object.</p>
<p>(iii) Determine the overall magnification of the microscope.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a converging (convex) lens.</p>
<p>A small object is placed a distance 2.0 cm from a thin convex lens. The focal length of the lens is 5.0 cm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Deduce the magnification of the lens.</p>
<p>(ii) State and explain the nature of the image formed by this lens with the object at this position.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The object is coloured and the image shows chromatic aberration. Explain what is meant by chromatic aberration.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe how the effects of chromatic aberration may be reduced.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about convex lenses.</p>
</div>
<div class="specification">
<p class="p1">A convex (converging) lens is used to project an image onto a screen. The focal length of the lens is 10 cm. The object is placed at a distance of 15 cm from the centre of the lens on the principal axis.</p>
</div>
<div class="specification">
<p class="p1">Another object, as shown, is positioned so that the centre of the object lies on the principal axis of the lens. The object is normal to the principal axis. The lens has not been corrected for spherical aberration.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_17.04.29.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/20.b_01"></p>
<p class="p1">The diagram shows what would be seen on the screen if the lens produced no aberrations in the image.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_17.05.11.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/20.b_02"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>principal axis</em>.</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">Construct rays to locate the position of the image.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_16.41.32.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/20.a.ii"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the nature of the image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The lens is covered with a wide aperture. Using the diagram, sketch the likely appearance of the image if the lens <strong>produces </strong>spherical aberrations.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why reducing the size of the aperture will reduce the effects of spherical aberration.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a converging (convex) lens.</p>
<p class="p1">Anna is unable to read small print in a newspaper. She uses a convex lens to read text more easily. Anna looks through the lens at an arrow on the page.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_15.31.16.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/20"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, construct rays to locate the image of the arrow. The focal points of the lens are labelled F.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Anna places a screen at the image position. Outline why she cannot see an image on the screen.</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">Anna uses the same lens with an illuminated object. She finds that a clear image of the object is formed when the lens is placed a distance of 20 cm from the screen. The lens has a focal length of 5 cm. Determine the magnification of the image.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about optic fibres.</p>
<p class="p1">An optic fibre consists of a thin glass fibre surrounded by a cladding material. The refractive index of the glass is 1.62.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the critical angle for this optic fibre.</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">The diagram shows a straight optic fibre. Sketch the passage of a ray of light through the fibre.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_16.05.28.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/19.1.ii"></p>
<div class="marks">[[N/A]]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The input power to the fibre is 150 mW. The attenuation per unit length of the glass fibre is \({\text{12.0 dB}}\,{\text{k}}{{\text{m}}^{ - 1}}\). When the light has travelled a distance \(l\) its power has fallen to 3.00 mW, at which point amplification of the signal is required. Determine \(l\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Optical fibres can be classified, based on the way the light travels through them, as single-mode or multimode fibres. Multimode fibres can be classified as step-index or graded-index fibres.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the main physical difference between step-index and graded-index fibres.</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>Explain why graded-index fibres help reduce waveguide dispersion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</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>
<br><hr><br><div class="specification">
<p class="p1">This question is about digital transmission and optical fibres.</p>
</div>
<div class="specification">
<p class="p1">A digital signal is to be transmitted along an optic fibre. The signal to noise ratio \(\left( {{\text{that is 10l g}}\frac{{{P_{{\text{signal}}}}}}{{{P_{{\text{noise}}}}}}} \right)\) in the fibre must not fall below 35 dB.</p>
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Attenuation per unit length of the optic fibre <span class="Apple-converted-space"> </span>\( = {\text{2.6 dB}}\,{\text{k}}{{\text{m}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Power of the input signal is \({P_{{\text{signal}}}}\) <span class="Apple-converted-space"> </span>\( = {\text{88 mW}}\)</p>
<p class="p1"><span class="s1"><span class="Apple-converted-space"> </span></span>Noise power in the fibre is constant at \({P_{{\text{noise}}}}\) <span class="Apple-converted-space"> </span>\( = {\text{52 pW}}\)</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by attenuation.</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) Determine, using the data, the greatest distance the signal can travel before it must be amplified.</p>
<p class="p1">(ii) The optic fibre has a total length of 5600 km. The total transmission time along the length of the fibre is 28 ms. Estimate the refractive index of the core of the fibre.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Spherical converging mirrors are reflecting surfaces which are cut out of a sphere. The diagram shows a mirror, where the dot represents the centre of curvature of the mirror.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A ray of light is incident on a converging mirror. On the diagram, draw the reflection of the incident ray shown.</p>
<p><img src="data:image/png;base64,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"></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 incident ray shown in the diagram makes a significant angle with the optical axis.</p>
<p>(i) State the aberration produced by these kind of rays.</p>
<p>(ii) Outline how this aberration is overcome.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about optic fibres.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> advantage of the use of an optic fibre rather than a coaxial cable for the transmission of information.</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>Suggest why, in transmitting information in an optic fibre, infrared electromagnetic radiation rather than visible light is used.</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>A signal is fed into an optic fibre of length <em>L</em>.</p>
<p><img 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" alt></p>
<p>The noise power at the receiver is <em>P</em><sub>noise</sub>=4.2 μW. The signal to noise ratio \(\left( {i.e.10\log \frac{{{P_{{\rm{signal}}}}}}{{{P_{{\rm{noise}}}}}}} \right)\) at the receiver must exceed 25 dB.</p>
<p>(i) Show that the minimum signal power at the receiver is 1.3 mW.</p>
<p>(ii) A signal of power 25 mW is input to the optic fibre. The attenuation per unit length of the optic fibre is 0.30 dB km<sup>–1</sup>. Determine the maximum length <em>L</em> of the optic fibre.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram is a partially-completed ray diagram for a compound microscope that consists of two thin converging lenses. The objective lens L<sub>1</sub> has a focal length of 3.0 cm. The object is placed 4.0 cm to the left of L<sub>1</sub>. The final virtual image is formed at the near point of the observer, a distance of 24 cm from the eyepiece lens L<sub>2</sub>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-26_om_15.46.06.png" alt="M17/4/PHYSI/SP3/ENG/TZ1/7a"></p>
</div>
<div class="specification">
<p>Two converging lenses are used to make an astronomical telescope. The focal length of the objective is 85.0 cm and that of the eyepiece is 2.50 cm. The telescope is used to form a final image of the Moon at infinity.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a virtual image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the image of the object formed by L<sub>1</sub> is 12 cm to the right of L<sub>1</sub>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The distance between the lenses is 18 cm. Determine the focal length of L<sub>2</sub>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram draw rays to locate the focal point of L<sub>2</sub>. Label this point F.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why, for the final image to form at infinity, the distance between the lenses must be 87.5 cm.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The angular diameter of the Moon at the naked eye is 7.8 × 10<sup>–3</sup> rad.</p>
<p>Calculate the angular diameter of the final image of the Moon.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>By reference to chromatic aberration, explain <strong>one</strong> advantage of a reflecting telescope over a refracting telescope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The graphs show the variation with time of the intensity of a signal that is being transmitted through an optic fibre. Graph 1 shows the input signal to the fibre and Graph 2 shows the output signal from the fibre. The scales of both graphs are identical.</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a ray of light in air that enters the core of an optic fibre.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgEAAACxCAYAAABds249AAAahElEQVR4Ae3dDXBV5Z3H8V/CDhUbUHnZMRFbah2gHdjNCmJ2oGMAG0y7DmmoVRQJDUV3XayLIwGkWF1ehhcnVIoswpiBINDokMZxXBAwhh3TBQrIGjqFDKZQY4IjIE0iWDrcu/Oc5MJNuEnu28k959zvncHcl+c853k+/+s8//ucc56T4vf7/eKBAAIIIIAAAkknkJp0PabDCCCAAAIIIGAJkATwRUAAAQQQQCBJBUgCkjTwdBsBBBBAAAGSAL4DCCCAAAIIJKkASUCSBp5uI4AAAgggQBLAdwABBBBAAIEkFSAJSNLA020EEEAAAQRIAvgOIIAAAgggkKQCJAFJGni6jQACCCCAAEkA3wEEEEAAAQSSVODvkrTfdLuDwKxZszq8w0sEEEAgPgIbN26MT0XUEncBZgLiTkqFCCCAAAJOE/DVlmhSyk9UUvtVjE3zqanyOWV0V1dTpeZlZGhSyXH5JLXuf7TmVZ6Ncf/x3ZyZgPh6UhsCCCCAAALXCaQOLdS7/sLr3k/0G8wEJDoC7B8BBBBAAIEECZAEJAie3SKAAAIIxFfA13hQm+dNUkpKilJSRqrgpXdV22Im40M/fI2HVf5SgTKs8mabSZpXUtl+G1+jDpe/pIIM83mKMgqKtfPIpx0qvKzGw+V6qWBk674zCvTSziM6E1Sq/eGAs6qcN1opk15R5cEtmjc+49p2e2rVErSdWmq152obTZ+2qMT0MeM5VTZ13rfgKrp6ThLQlQ6fIYAAAgi4QsD3ablmjcrTJj2hE81X5G/erntrnlX20xX6NNRY2XJQxY88obd6Pa7DV/zy+/260vCsem15XE+sP9Q2EF/Q4eJZGv3r85pc9Rf5/VdUu/AOHXlnjxqvqvjUcvgVPTL6VX0++U01+/3y1y7QHUf2qPRaoaul2z3ZvVSLd3xdM9+ul9//VzW8fofeyXlG6w9faC3mO63yp6eooGaCKk2f/NVa0L9Kv1i5u101sbwgCYhFj20RQAABBBwg8JVOvvsblWiGFi3M09C0VCntu/pxwQNSyW/07smOJwP61HSwQsUnclQw85+V3jYSpqZ/TzMeu0tVe46pwSQOTUf0RvEZFS16RvlD+0lKVdrQPC1cNEPpV3t9Xgff2KoTRfO0MH+40sz7acOVv3Ceiq4Vulq63ZP0oPaqt9JHf09j0o9oz/+dkU8+NVW9qtk779XaZVM13PRJ/TS8cIVeLxrVrppYXnBiYCx6bIsAAgggkHgB3yl9UPaBNPJ+DbYGS9OkVPWbsEwN/tbm+WqDm9n2WYNPLbX/o/K95835+7pwYKNmml/ZOfdbr5sO7dWWxju0ZLA1tLdVkKq0wXdqpE62vm76SO9uadDIJRmtCUBgN2kZGjbyRh0NvA7nr7WNtOVEg1o0UIfe3a3GkU9qRHrvoK3TNHjYHUGvY3vKTEBsfmyNAAIIIOBGgZZjKin4R/Ud9oh+feCclTTcPGmlDr32oFRzUvUtX+nMqZNB0/6hO+k7c0pHu5v2D72pI95lJsARYaARCCCAAAI9J/CVat/4T83cc6921Bcr/7bAL21zwl6dpDsl9datQ+5UeuAXfyeNS711iDLTFdkv/k7qSsTbzAQkQp19IoAAAgiEFLh06ZJqa2utf+Xl5TL/1q5dq6KiIpmVTc0Z+qWlpe23TR2icQ+Na/sFf+0swNYz8q8t2HNtoxbVn6iTRt7Vfqrd96UunP1rW7FU9Rt9nx5Lr9OJ+uDz9X1qqT+pmkBl/f5Bkx7LUI01hR94U1JLg07UXAx6I9Kn/TV6Uo7SrVmJa32S2toeaXWdlGcmoBMY3kYAAQQQiK/A+fPndfbsWV28eFF1deYXt7R//37rrxn433rrLev53Llzrb/f+MY3lJGRoaFDhyonJ8d6L/QSxDfoztxZWrDl37R4+Xh9Z8n3la5PVbWpTLuz5+rQT4YqteF31vat/2kbYFeWaVPVJC2ZcJtSfY06+PLzml1yTEp/oLVYv3H6+dos3T1tnoZVrlbh8DS11FZo6eJNatS4tvoGKvvnzyn37qf11LDteqVwhNJajqt86QqtbJRaWx2067Cfpqpf9hNamztFi5eO1uBF5oTHFtWWF2vxysNSevQ1BzeBJCBYg+cIIIAAAlELfPnll2ppaZH5Nf+3v/1NX3zxhVWX+fVuHnfffbeys7Ot51lZWdbfyZMna9CgQbrxxhtVUVFhvRfNf1LTv68l27Zpy68WKaOXGSDTlV20Qoe2PaRRaanW0r3X6jUD7FN6e9Ov9OzEweplPkifrlVrClSx41blzQ6U7K3b8pepqu9rWjrhJs00x/6zF+jNp36unKojgUJKvS1PL1d9XeuXTlXfmcdkhv6iNwu1Kmeh9lwtFcWT1G8q/+Vt6rt+qbL7TlGjRmj6qhf11Ko8VRVHUV+ITVL85uJIHo4UMFNZucPWKfO9XVoxYaCtbeQGQrbyUjkCSSFw9GjrufA333yz1d9bbrnF+rt582b16dMnKQzs7+RXqi2ZruwT/6rjKybIXLgYy4OZgFj0bN7WqWtN29xtqkcAAZcKZGZmhmw5CUBIlm7eNDcq+oWGT/tMS6xDEWa4v6zGg69p6S8u6pm374o5ATAN4MTAbsLAxwgggAACCPS8QNshi7Xf0b4JN7UuK5zyNY165ZImv71Rz4xqnW2JtV0kAbEKRr19h7WmzdrV4+eppPLautEh15oeP08bA+tIx2nt6Ki7wIYIIIAAAvYJpKZrVP6z2tzQuqyxOXrfsPlZ5Y9Kj9sveJIA+8LXRc1ta00/8JZ6/ftuXTFrTZt1oxfdqC0Tg9aNDlVD1X/rg/5zVWvKVz2hMf0IYSgm3kMAAQQQ6F6AEaR7IxtKtK01/ViBZo4JZHS9lZ79kB7LOd62bnQnu01/QAU//q7SzDrTQ7/ZfpnKTjbhbQQQQAABBEIJcGJgKBXb3xuoCSsOqUFNqq18S3svXJF0Tgd+/UutrJJyHrK9AewAAQQQQACBuB1WgDIiAZ9ajm9WQcZNGjZxnQ5cMKtB/b0m/Ve5XsvR9StPRVQ3hRFAAAEEEAhPgJmA8JziW8pXqzeeXqA9uTtUvzFftwUOyjRVal5NoxT6Kpv4tqFDbT/84Q87vMNLBBBAAAGvCwSGH6/301n9s9aUlkaO/e7V+1ibBvqaL+iss1pKaxBAAAEEPCxAEpCI4LbdcGL3ljJVNV62WuBrrNbLz/1SJS6+JWUiKNknAggggED0AiQB0dvFsOVAZf/HOm0a8ztNzPiatQjE4Pn/q9sL1mlH0agY6mVTBBBAAAEEwhfg3gHhW3m6ZCw37vA0DJ1DAIGYBfLy8mKugwrsEWAmwB5XakUAAQQQQMDxAiQBjg8RDUQAAQQQQMAeAZIAe1ypFQEEEEAAAccLkAQ4PkQ0EAEEEEAAAXsESALscaVWBBBAAAEEHC9AEuD4ENFABBBAAAEE7BEgCbDHlVoRQMAFAs3NzWpoaHBBS2kiAvYIcO8Ae1ypFQEEHCpgBv6PP/5Y1dXV2rt3r2bNmqWMjAyHtpZmIWCvAEmAvb7UjgACDhDoOPA/+uijmjhxopUA9O7d2wEtpAkIJEaAJCAx7uwVAQRsFmDgtxmY6j0hQBLgiTDSCQQQMAKXL19WXV2d3nvvPWuqn1/8fC8Q6FqAJKBrHz5FAAGHCwQG/mPHjmnr1q1i4Hd4wGieowRIAhwVDhqDAALhCIQa+EeMGKGysjJxjD8cQcog0CpAEsA3AQEEXCHAwO+KMNFIlwmQBLgsYDQXgWQSYOBPpmjT10QIkAQkQp19IoBApwIM/J3S8AECcRcgCYg7KRUigECkAgz8kYpRHoH4CJAExMeRWhBAIEKBjgN/Xl6e7rnnHk7ui9CR4gjEIkASEIse2yKAQEQCHQf+++67T2PHjlVpaan69u0bUV0URgCB2AVIAmI3pAYEEOhCgIG/Cxw+QiDBAiQBCQ4Au0fAiwIM/F6MKn3yogBJgBejSp8QSIAAA38C0NklAjEKkATECMjmCCS7wPHjxxVYspdj/Mn+baD/bhMgCXBbxGgvAg4Q+NOf/qQ//vGPev/99zVkyBBO7nNATGgCAtEIkAREo8Y2CCShQKiB//nnn+es/iT8LtBl7wiQBHgnlvQEgbgLMPDHnZQKEXCUAEmAo8JBYxBIvAADf+JjQAsQ6CkBkoCekmY/CDhYgIHfwcGhaQjYKEASYCMuVSPgZAEGfidHh7Yh0DMCJAE948xeEHCEAAO/I8JAIxBwjABJgGNCQUMQsEcgeODv37+/srKyNH/+fA0YMMCeHVIrAgi4RoAkwDWhoqEIhC/AwB++FSURSGYBkoBkjj5995QAA7+nwklnEOgRAZKAHmFmJwjYI8DAb48rtSKQLAIkAckSafrpGQEGfs+Eko4gkHABkoCEh4AGINC9wLlz5/TRRx9p//79VmFO7uvejBIIINC9AElA90aUQCAhAqEG/scff5yz+hMSDXaKgDcFSAK8GVd65VIBBn6XBo5mI+BSAZIAlwaOZntHgIHfO7GkJwi4TYAkwG0Ro72eEGDg90QY6QQCrhcgCXB9COmAWwQY+N0SKdqJQPIIkAQkT6zpaQIEGPgTgM4uEUAgbAGSgLCpKIhAeALBA//58+c1fvx4FRQUKCMjI7wKKIUAAgj0kABJQA9BsxtvC4Qa+B9++GF961vf8nbH6R0CCLhagCTA1eGj8YkUYOBPpD77RgCBeAiQBMRDkTqSRoCBP2lCTUcRSAoBkoCkCDOdjEWAgT8WPbZFAAEnC5AEODk6tC1hAs3Nzfr444+1c+dOBU7u4xh/wsLBjhFAwCYBkgCbYKnWfQKBgb+6ulqnTp2yzupn4HdfHGkxAgiEL0ASEL4VJT0oEGrg/8EPfsBZ/R6MNV1CAIHrBUgCrjfhHY8LMPB7PMB0DwEEwhYgCQibioJuFmDgd3P0aDsCCNglQBJglyz1JlyAgT/hIaABCCDgcAGSAIcHiOZFJsDAH5kXpRFAILkFSAKSO/6e6H3wwL937149+uijmjhxooYPH+6J/tEJBBBAwC4BkgC7ZKnXVoHOBv5Zs2apd+/etu6byhFAAAGvCJAEeCWSSdAPBv4kCDJdRACBHhUgCehRbnYWqQADf6RilEcAAQTCFyAJCN+Kkj0kwMDfQ9DsBgEEkl6AJCDpvwLOALh8+bLq6up04MABVVRUXD25j2P8zogPrUAAAW8KkAR4M66u6FVg4D927Ji2bt1qDfz33HOPpk6dysl9roggjUQAAbcLkAS4PYIua3+ogX/EiBEqKytj4HdZLGkuAgi4X4AkwP0xdHwPGPgdHyIaiAACSSpAEpCkgbe72wz8dgtTPwIIIBC7AElA7IbU0CbAwM9XAQEEEHCXAEmAu+LluNYy8DsuJDQIAQQQCFuAJCBsKgoGBDoO/Pfdd5+1Vj8n9wWE+IsAAgi4Q4AkwB1xSngrQw38Y8eOVWlpqfr27Zvw9tEABBBAAIHIBUgCIjdLmi0Y+JMm1HQUAQSSVIAkIEkD31m3Gfg7k+F9BBBAwHsCJAHei2lUPaqpqdGJEyeslfvMMX6m+qNiZCMEEEDAVQIpfr/fH0mLU1JSrivesQo7y5idB+8v1L7sKmPqDbW/4PbEUsaudodqc2Bf58+fV3FxsdatW6cvvvjCvN3u8dvf/rbd6x/96EftXpsX8SrTsa5Q+7KrjKk31P7i1bdw6qFv7b9LoeIRjZFbY2va7ZVHXl6eV7riuX5EnAR4TiDKDpkv9cqVKzV06NAoa0j8ZuXl5Vq+fLlmz56tG264gWV7Ex8SWoCAJwVIApwb1lTnNs25LauurtagQYNcmwAcPXpU5n/K/fv3yyQC06dPJwFw7teNliGAAAK2CXBOQBS0+/bt04wZM6LYMrGbmKl/88u/qqpKq1evto77J7ZF7B0BBBBAIJECzAREqH/p0iUtXLhQd911V4RbJq64abP5xT9gwABlZWXJJDHmxD8eCCCAAALJLUASEGH8jxw5orlz56pPnz5hbHlBh1/6F+tkwpSM51TZ5Atjm/gWMYcupk6dak39nzt3Tvn5+WG2Pb7toDYEEEAAAecJcDggwph8+OGH1q/pcDbzfVqpdcWn9cj0PL1felKnzlyW+t0QzqYxl6mvr9eaNWtUW1urF154QZmZmTHXSQUIIIAAAt4SYCYgwnj++c9/1ogRI8LY6qyq1ixTycg5WrTgAY1UnU7Ut4SxXWxFzNS/WcrX/OI3U//bt28nAYiNlK0RQAABzwqQBEQY2lWrVun222/vZiufWg5v0eKVt2rVsnwNzxiizPRuNonDx2bq/95775WZBdi1axdT/3EwpQoEEEDAywIcDogiut2eD+D7RLvXlehE4Yt6/Z9ulpShYSMvqOzUWfk0UPHOvMyUv0lOPv/8c73++uuuvXQxilCwCQIIIIBADALxHo9iaIrzNzWD7c9+9rNuGupTU9Wrml3yTT3z5ATdZoRTB2pI5s2qOdGgeB4QMFP/a9eu1bRp05Sbm6uKigoSgG6iw8cIIIAAAtcESAKuWYT17JZbbum6XMshbVi8SSos1FRrFuBa8cajp3QmThcImEv+zNS/eZhL/sw5ADwQQAABBBCIRIDDAZFodVv2sj7dXariqkY1Vk3R4JIOG6SfVH2LT0P7RZ97mdmIoqIia8VCpv47+PISAQQQQCAigehHo4h2443CAwcOtFbb67Q3TR9ozexyDVt1QM1+v3WjI3NzIb//iv7y3gKlN7ZdJthpBZ1/YFb7W7ZsmTX1/+STT2rjxo1M/XfOxScIIIAAAmEIkASEgRQo0r9/f/3+978PvOzw94IObyjWSs3QosdHK63dp6lKG3xnVJcJBlb7u//++zV48GBr6j8nJ6dd7bxAAAEEEEAgGgEOB0SoNnnyZOsSPDMgBz98teV6bu5pFe54RdkhpvtTbzWXCTboaARXCJgb/ZiFfsydCs05AB33Gbx/niOAAAIIIBCpAElAhGJjxozR6dOn2w/IvtOqWLFau7MLdSjn9tCXAKaZywSlLdYVAsPVr4v9cqOfLnD4CAEEEEAgbgIpfnPQmkfYArt377aW4p09e3bY24Rb0Ez979y5U1OmTNGOHTusy/66XZMg3Mq7KWcuL+SBAAII2CFgbl3Ow5kCnBMQYVxGjx5tLctrBux4PgKr/e3fv1/c6CeestSFAAIIINCZAIcDOpPp5H1zcmB2drbM3QTjcTve4Bv9bNiwgXX+O3HnbQQQQACB+AswExCFqVk10CzTG8tsgNmWG/1Egc8mCCCAAAJxEyAJiILSnK1v/r355ptRbC2Z8wq40U9UdGyEAAIIIBBHAQ4HRIk5f/58mWv3v/3tb4d9WIAb/USJzWYIIIAAArYIMBMQJas5N8As2ztu3DiZk/q6epipf27005UQnyGAAAIIJEKAJCAGdXNI4MMPP9ScOXOsxXxCVcWNfkKp8B4CCCCAgBMESAJijEJmZqaVAJjr+821sIFZATP1b16b982MgVlXoKeu+Y+xS2yOAAIIIJAkApwTEIdAm+V8zQ19TALw6quv6uGHH9ZNN92k4uJisc5/HICpAgEEEEDAFgGSgDixmuP+n332mY4fP64FCxbopz/9Kb/842RLNQgggAAC9giQBMTBlRv9xAGRKhBAAAEEelyAJCAG8sCNfszx/7lz54Z9qWAMu2RTBBBAAAEE4ibAiYFRUJqpf3PW/4ABA5SVlaXt27eTAEThyCYIIIAAAokVYCagE38z0H/yySdXP7148aLq6uqsY/4mAZgwYYJ1ox+zXgAPBBBAAAEE3ChAEtAWNTOlP2zYsHYxNFP8gUdzc7P+8Ic/qKamRua2u2bZXy893nnnHS91h74ggICDBLiVsIOC0aEpJAFtIGbhH7/f34FH1k2CzD0C1qxZo169eqmsrMxzCcB1neYNBBBAAIGkEOCcgC7CHHyjn8LCQmvw57r/LsD4CAEEEEDAVQLMBIQIV8cb/Zgi06ZN065du0KU5i0EEEAAAQTcKUASEBQ3c8nftm3bVFpaqiVLllxd7c8czzKvOQkwCIunCCCAAAKuF+BwQFsIzRn/5tbA5rFv376rCYB535wvwGEA13/X6QACCCCAQAeBpJ8JMFP/RUVFGjRokHWjHzPgBx719fVavnw5hwECIPxFAAEEEPCUQNImAWbqf/369dblfqtXrw652M+LL77IYQBPfd3pDAIIIIBAsEDSHQ4IXu3P3P3PTP2PHTs22OTq89zcXA4DXNXgCQIIIICA1wSSaiYg+EY/ZjVAkwR09cjPz+/qYz5DAAEEEEDA1QJJkQRwox9Xf0dpPAIIIICATQKePhxgpv7N5X7c6Membw/VIoAAAgi4WsCzMwHV1dWaM2eOsrOzudGPq7+iNB4BBBBAwC4BzyUB5rI+s86/ufRvw4YNyszMtMuOehFAAAEEEHC1gGcOB5ip/7Vr18qczJeVlWVd+kcC4OrvJo1HAAEEELBZwBNJQOBGP01NTdbCPpzVb/O3huoRQAABBDwh4OrDAR1v9BO82p8nokMnEEAAAQQQsFHAlUlAZzf6sdGJqhFAAAEEEPCcgOsOB3R2ox/PRYYOIYAAAgggYLOAa2YCurrRj81GVI8AAggggIAnBRyfBIRzox9PRoZOIYAAAgggYLNAit/v99u8j6iqN5f87dy5U1OmTNHmzZv14IMPqk+fPlHVxUYIIIAAAgggcL2AI2cCIr3Rz/Xd4h0EEEAAAQQQ6E7AUUlA8I1+XnjhBVb76y56fI4AAggggEAMAo46HJCSkqIdO3YoNzeXqf8YgsqmCCCAAAIIhCPgqJkAh56eEI4jZRBAAAEEEHCdgOvWCXCdMA1GAAEEEEDAoQIkAQ4NDM1CAAEEEEDAbgGSALuFqR8BBBBAAAGHCpAEODQwNAsBBBBAAAG7BUgC7BamfgQQQAABBBwqQBLg0MDQLAQQQAABBOwWIAmwW5j6EUAAAQQQcKgASYBDA0OzEEAAAQQQsFuAJMBuYepHAAEEEEDAoQIkAQ4NDM1CAAEEEEDAbgGSALuFqR8BBBBAAAGHCvw/zmA2ES9RJwkAAAAASUVORK5CYII="></p>
<p>The ray makes an angle <em>A</em> with the normal at the air–core boundary. The refractive index of the core is 1.52 and that of the cladding is 1.48.</p>
<p>Determine the largest angle <em>A</em> for which the light ray will stay within the core of the fibre.</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>Identify the features of the output signal that indicate the presence of attenuation and dispersion.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The length of the optic fibre is 5.1 km. The input power of the signal is 320 mW. The output power is 77 mW. Calculate the attenuation per unit length of the fibre in dB\(\,\)km<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the compound microscope.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A convex lens used as a magnifying glass has a focal length of <em>f</em><sub>e</sub>. Derive an expression for the angular magnification when the image is at the near point <em>D</em>.</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 convex lens in (a) is used as the eyepiece of a compound microscope.</p>
<p><img 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7t3vaIlu4UbAQIECBAgQIAAAQIECBAgQIAAAQIECBAYYYFXjvD2bZ4AAQIECBAgQIAAAQIECBAgQIAAAQIECLQKCKTtCAQIECBAgAABAgQIECBAgAABAgQIECBQEgGBdEmYDUKAAAECBAgQIECAAAECBAgQIECAAAECAmn7AAECBAgQIECAAAECBAgQIECAAAECBAiUREAgXRJmgxAgQIAAAQIECBAgQIAAAQIECBAgQICAQNo+QIAAAQIECBAgQIAAAQIECBAgQIAAAQIlERBIl4TZIAQIECBAgAABAgQIECBAgAABAgQIECAgkLYPECBAgAABAgQIECBAgAABAgQIECBAgEBJBATSJWE2CAECBAgQIECAAAECBAgQIECAAAECBAgIpO0DBAgQIECAAAECBAgQIECAAAECBAgQIFASgX0KGaV2bE0hi1uWAAECBAgQIECAAAECBAgQIECAAAECBCpcYPOWhkHPsKBAOrfhXChdyACDrsSCBAgQIECAAAECBAgQIECAAAECBAgQIJCUQKEnMbtkR1LtVSwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMgQIAAAQIECBAgQIAAAQIECBAgQCApAYF0Uu1SLAECBAgQIECAAAECBAgQIECAAAECBNIVEEin2zuVEyBAgAABAgQIECBAgAABAgQIECBAICkBgXRS7VIsAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQSKfbO5UTIECAAAECBAgQIECAAAECBAgQIEAgKQGBdFLtUiwBAgQIECBAgAABAgQIECBAgAABAgTSFRBIp9s7lRMoP4HG+lh984I4Y9w74oq6xiHWtyu2rPpoHDe2JmqP/Wisbtg1xO3s6dWao3HDkswi9XnkHYelt3u6J8YnQIAAAQJ7s0CFHZsU2krHMoWKWZ4AAQIECIyYgEB6xGhtmMDeIpB9uKm/L5ZePi0mHDU9Llu8Mh5vKmbuz8Ta29fG1twmtq6NO9Y+U8zG9uC6O6P+W/e2WWz9Tnz6pp9GUSx7aCbNDetj+bD1dg9NwrAECBAgQIBAJlAZxyaFttKxTKFilidAgAABAiMvIJAeeWMjEKhsgaaHYvH5y+PR57YPU+B6aJx4wYkxJqc25sQ4/8RDE/XbPya9/+w4sjo3j/fF5y58R+QepnXbFLd97Or4zpPPD1Nv05q9agkQIECAQGUJVMKxSaEdcSxTqJjlCRAgQIBAKQRe0ZLdChmoNvsz+s1bGgpZxbIECOwVAr+L1bNPjcvW5S7VMSZmrHggFk8ZVbkz33Z/XPftN8bls8ZX7hx3z2wv6+3ueXtAgAABAgQIVIaAY5nK6KNZECBAgEC5ChSaFztDulw7qS4CyQnsFweM3je5qodW8MtRv3x5/KR5aGunt9ZBcfSx49IrW8UECBAgQIAAgVYBxzJ2BAIECBAgUE4CAuly6oZaCCQt8KqoGff6pGcw2OKbN98ZC5dvGuziliNAgAABAgQIECBAgAABAgQIEMgLCKTtCgQIEChEoPGnseSSr0Z9it9QWMg8LUuAAAECBAgQIECAAAECBAgQGAEBgfQIoNokAQKVKdDc8N246vx5sXTjzsqcoFkRIECAAAECBAgQIECAAAECBEZYQCA9wsA2TyA9gV2xpe7fYunl02JC9iWmuQvT144dH8fNXhTLV9VH7isLB39rjsb61XHd7OPz26mJCacviOV1DdHv5ZebG2L9ikUx99iJccayAS6N0brsV+OK0yfuHqN27PEx99o7Yn3DrgFK3Rb1q5Z1qa/3dbPllv1TvHvyRXH37jB6Vzy+8O87xpywINZ3P2u6sT5W37wgzhj3jriirrPcplh++hEd6+52zlkf0XPODcvijIGWyc20KIsBqAb78lBq6LXfud7c2NHXcdPiimXrY0u/O06OYH0s77Tv5va3pbn9tvnJWH7lv8WWwc7DcgQIECBQmQKDfp/q7726+/t6RtXjvTp7Tz99Wc/3nUGP34k/dzyxLHdcdPzu44ne3u8GPL7KbbLPY5NO4+UeDqXO3ZsY7PHV7hW6Pihq7K6bGvJPQ6mhdZ3ux6+FH8/01lvHMkPupBUJECBAoFwFWgq8veGwsQWuYXECBJIR2PFoy7JZ72p5wzGzW5as+1XLn1sL/6+WhnVfbJlzzLiW3H//bzzt+pZHd7S90nVe/93ScMuM1mXecNixLQvWPd3y2C1zW96ZrZNbr+s/R7ZMW/yTlh1dN9Dy51/VtaxYPLvTOhNapt3yy25Ldfz45199q2XeMUe1TLvsrpbHWmv6c8uOx+5qWXDakW3jHX5my7WPvtixQudHO37Scm223BtP+2TLysfyy/z5Vy0PfvL0lje21vuulnn3Pp036Fjxv9dd3vKm1tf7qi1Xw5qWmy9r305u7jmP7rN9seWxb32yZdrhHTZ92+bGf76l7rL3ZNvqva6iLDqm18ej7r3tPpe21QquYcdjLat66/efn25ZNTfbD3vsN+Na3nnZ93vsN/nRW3Y8en3m+a6WOV/4fktD+y6ajbGyvRen3dLS0McMPU2AAAEClS9Q8PtUS/Ze3eVYpr/3oZzfb1tWzTqq9b16zi2P9ni/Kmz8vo4nXsy/33UcP3S8X/Z+fNWSHc0M7tikbR8orM5u+80Qj6/at1LU2O0b6fV+cMcyuVULrmHYjmeyPjmW6bV7niRAgACB8hfIHY8UcotCFs4tW+gAhW7f8gQI7CGBPz/RsuzMLMg9/JyWZU//V48i2g7O+wulOx/oH9nyvtNOann3rMUtqzqFvXVf6Bw2H9ly1i1PdAp8f9my7LQJ3ULIvkLfjg8LXbeRL3vH91sW5AP0XufT/voxn2yp6x6uv7iqZU57SNyLxYCB9J8fbbn2uDanjg+IvQXSuVr/q+XpW85paQvAx7a86bK6lv/uId/+xEstjy0+tddAtv2D05As2jff733n3vY+l8JraP/Q3vkDddbvm9Zk++FJLXMWr+r4JUPrh7P8cofPbVn1Ynva3KnovPsbZ63K4oPut3yYL5DuDuNnAgQI7DUChb9PtdO0/0I49z7U93FJ29Jt721vPPOWlqe7vVUVPP5/17UseGPn98jc42Nb5t+0uOWs4zqdOJD9Mr3/46ussgKOTQqus50pd1/E8VVu9aLGzm2g39vAxzK51QuvYRiPZxzL9NtBLxIgQIBAeQsUmhe7ZEe5nrquLgIlFdgVm1dcHdc/tivGnDkrzq7dt8foVTVnxcLL3hvV2StNG5fGP19T1+/lO6r+7mNx+y0LYvqk0W3bqqqJyZfeEHdcdWzrNiJ2Rv2td8RDje3XYBgfc/79idi85Rdx74Xje4zf9Ynfxbc/vygejFPiohnjoqrrixGjjov3n1nT9mzThvjGvb/odImQF2L9NQvjnq2viimXXRyTR3Vbe/Sxccq7R+XXfTJ+9vPt3bfe/89Vb4nL/79N2Tx+HF84Ib+dPtfYN2qnz4jjc6jZbddP/jP+bztH21Md/25+Ih68P2LaucdF160WY9Gx+eIeDaWG18X0W+u79Tu7DMqSO2L7Vd+MZQumx6TW3lTFqLdcGJ+Zk98nmh6JB37wXI9ymzeujf94tvs1U9oXOygmL/jnmLJP+8/uCRAgQGDvEhjK+1S7UPYecuVVMWNM7s06e5+6fU3U9/Veve3heOChiOPPOzVquxxeDGH86smx+MmGbscTW2PN15+ND3zjhvjElJq2458Bj6+ysgd9bDKEOtuZotjjq2LG3l1EkQ+GUsPwHc84limyfVYnQIAAgaQEBNJJtUuxBEZIoPFHsezWDdEUr4o3HfPmboFn+5hVMfqMeTHrkNZIOrauWRH3bu7rGs2vigknvjPGdvkwlttOFsDO+kxcevT+bRvd+kB8c133cLE6Djjwr9oH7fW+uf4b8ZV1jVH95rfGxO6Bcusa/zMOPfywfPDdFM/evzY25j88NteviM+u/HVE9dvilPce3Mv2XxfTPvXJmJr74DnmXXHK0Qf2ssxgnhoVNeNfO/CCo4+PD5x5WNtyzz4Q3/rhC72u0/ohJY6PqRP36/J6MRZdNlTED8XVsF/83duOyvaM3G3fOPLyxXH5W/K/xNhdU+dldsUL2/+0+5X2B3/ZsT1ezH5oeuieWNPbfpn7RcMx+f2ufSX3BAgQILBXCBT3PpURdf5Fd5/v1dkv91ffEz86+Jz4yBmv6+Ja3PgHxdHHjstvb0zMuOZzMb2m+4kDueOrS/PHaNmivR5f5TbR/7FJMXUWe3xVzNh5nKLviquh87HK0I5nHMsU3UIbIECAAIGEBJwvllCzlEpgZASaY9u6e+K+rbmzS8fFMUcf1PcwVUfE1NNqYulN2RcNNv08vlP3TMypHehs5m6bqxoXZ553bHY29oNZAP5SbHr699nZy6/rdJZzdfxtbU0WTT6SnYfU260pfvPohng299K6+fH2sfN7W6jrcy9uj8a/ZE9VvRwbv1/Xtu4Rb4ujR/dIzFvXq6qZGTc/PLPrNgr+aeBgvW2TB8W7zz0lDll5c1bXr+O+O38Ul02ZHl0j2eyMnRseiPGXfDMmdSm5GIuCJ9THCuVQQ8QrDzgw/jqr8Nmmh2PRye+Ppxd+Nq6YOanTL1eyM5gWnNPHHDxNgAABApUrMBzvU/vFpDnzYsry+VHXlL1X33BfzH3P3K5nQTf/Ilbd/vM4+LRLY+KeeK/ufIzW6/FVrsP9HZsU41Ts8VUxYw/Xnrvna3AsM1y9tB0CBAgQSEFAIJ1Cl9RIYEQFdsbGnz2ehcODubWfebwpW35XPPXUb7P78fkzkQezfm6Z7BIMb6iNg7MLbjybrf3cpl9nl/54S7cAtr9tvRQNT/2mdYF9Z66In183uYDxG6Nh0/P9bXyPvFY1cVr849F3xqLHdmZn+H4vfrhtWkzvHJbn/gT4x+PjlOu6n9FdjMVwTbUcasj2qk6G2TVl4p7Lp8c9Xzwh5l12UfzTWZ2D6eGat+0QIECAQBoCw/Q+Nfrk+MicpVGX/VK+6bF7Y9XG8+LySR1/tdR2uYVD49STjuj0S/ac0DCNPyB2/gzdrL5d2fHVi9v+GK2/ix9wvfYFiqmz2OOrYsZur7/Y+z1fg2OZYntofQIECBBIScAlO1LqlloJjIjA87H5ycZBbrkqXnPAAbs/aO168un47SDX7LxY1agD44D8E00vbMuuJl3I7eXYsa3t3OnmbTvij4WsGn+K7S/kz7vevj129HUNyIK2OQwL588az10MJZp+EF9Z/vNO17zOzmD/wdrY/KF5Ma1zSN06bDEWw1B32dSQFVI1IeasuC0+ecIhHRPbui6Wzp8ebzl2TnyxrqGTacciHhEgQIBApQsM13vlfjHx7LNjUuub9aZYccP3YttuuhfiobseiOdOmBezO4XUbS8P1/i7B+vzQXXN4dnfug31VkydxR5fFTP2UOfbfb0yqMGxTPem+JkAAQIEKlhAIF3BzTU1AoUL/CG2N/Z/rnTnDzvVB42OYq/KW/g2Oj70NP3yqXhmqKHyc5ujYfcXKhYuNbxrZNfnPmFGnNH6hUldr3kdzT+PW7/0TJzc44yrXAXDZFHUZMqhhvwERr0l5tz6YKxbkX2BYatl/vksmL5x1rQ468rvxpah7i9FGVmZAAECBPacwPC9T1XVnhofyH/xcdO6pXFr/ctt09r2o/jmmj/E8f9wbC9/8TV844+s4TDVOaTjq2Eauyigcqghm4BjmaK6aGUCBAgQSEdAIJ1Or1RKYIQEXh0HHtT+5TjPx1O/GuzZ0tVx8PjDOl2jdyjlDWUbr43aCaPaBnu2Lh7cmP8w2Ofw2RnG998XD7Xm7J3m2vRIPPCD7l+o2H0jL0f9irujvhQhZpcvTLo7vnbf71qLyf0J8Pdem4Wp3b7MsK3SYiy6z3WoP5dDDZ1r3zfGTrkklj3807h3yYc7BdM74/FvXhGXrnjSmdKduTwmQIBAxQsM5/tU9sXHF58TbX+L0xDfvuvH2WXHcn/J9L34UfT1ZcnDOf5gm1Udfz36NVHYB71i6iz2+KqYsQdrMtBy5VBDe42OZdol3BMgQIBA5QoUdpxSuQ5mRmAvFuj87e3tXzLYN0dzY3api9aXa3q5TmLf63V+pbht/I8YlX3IartlfzL7uTtjc3+BcfNTseaB38T+rf+36/zt8o1R96Vv9B82Nz8R65/eNw7t8uVEnWcynI87/ylwY/zouw9nfwqc+5KgDVF73qldvzhp97DFWOzeSJEPyqGG3qYwOiadtSCW/fj/xNIPTMxfZ3xn1N/+7djY3/7S26Y8R4AAAQIJCwzv+1TVpH+Mj52Q+8V4U2xdsyLu3bQx1tz5SBycfelhz0tr5diGd/z+GtFxfPWqGH/43+y+xFp/63S8VkydxR5fFTN2xwyKe1QONXSfgWOZ7iJ+JkCAAIHKERBIV04vzYTAEAWq4/VTpuaviZhdLmLNqnioz0tZNEfjrzZH63nFh0yJqb2etTtQGZ2+iX1I28iC25Om5M9Oyj4OPvbVmP/pvi7FkNX7wzvje4e9M/+N913XjWfvjKuv/2l2dlNvt12xecXS2PSWt/fy57e9LV/8c13+FPihe2LNz1bH1+4/PD5wQvcvM2wfq+t8CrNo30ax9+VQQ7Yf1H0uLlrVdlZ5lxlV1cSJ19wU17SGB9krL26Pxty3PLkRIECAwF4iMNzvUwfHlPNOiTE5vaYNcduln47bHnttP7+kH+7x+2pbp2O0Maf0c+zQ1/rF1Nl13cKPr7quv7cezziW6Wvf9DwBAgQIVKKAQLoSu2pOBAoUqKo9Iy4687C2tbZ+J26856k+LmuwPTb+LPt2+ezK0ZMumJYPeQscLDvr+MH7G7KVDosZ/zIrJg3h7OO2byFvv3p17lIMF8XJZy6I5Z2/uK65IdYvuzI++JGn4+Sz37z7LKEe6940Lz54+bJY35D/ssPcdBrrY/XNn4n5SyJOem/XMPiVBxwYf9065ebYsX1nH06tCwzhX53+FDj7kLvsYzfG5tPOineP6hupx3wKsBhCgb2uUg415K6n/ePWs8p7K7HTXwGMPzxqWr+QqrflPEeAAAEClSgwvO9TVTHqPWfFtENybybZWdIbfxFbB/gF+/CN3xhPbn6+jxY9Fz/87iNtx2izz+/32KGPDUQxdfZYt8Djqx7r75XHM45l+to3PU+AAAEClScgkK68npoRgSEIHBSTr1wU8ybmQt7ssgbXXR23be4U0Oa32Lz5vrhxze9izEmfiutnTdgd8vYc8KV48pEnejnzeFtsuH5hrHj24Ji65NZYOOWgnqsO5pnsW8g/9IWP5s/qbluhaePKWDRrSowfWxO1uX9qp8SchWvihdNnxdm17dfIzpbtsW4WaK+8JuZMPqJtvdy6R02PyxY/EPvM/0SPP7+tOnRcjG8NNDudTZ6F32uvvCS+2P7lRq0lNWWB9R/ys9kV23YMdK3rtkWrJp4Yp+Y/5L649TV9fJlhfrO5ux7zyT4eD9ai02b6f9h5Lr18GC6qhub4444d+WB/Vzz11G+zD9P93fpepmndZ2Pest6uEd1ef/aLlNOOj9f3t3mvESBAgEDlCRT1PtULR9VRMfuS9+YvBzUqplzyj/3/gn3Yxt8Vj9/69Vjf4y/ZsrOj626IJesao/roj8a1fR6jtb8f5ubUy7FJMXX2WLew46uRP57pPPdejmVyJD3mUMgx1fAczziWyTXCjQABAgT2BgGB9N7QZXMkMBiBUe+I+V9ZHOfkQummh2PReRfHF3efcbwrttR9KT583hfj95M/H3feNDPG9jhp95Ux6q3TY0Y+1H78pgvi1NnXxur6bW2jt4a2s+K85c1x1rI74sazavsJtAcuuKp2VixfeWWnL63rvk51FpxntS6a2uOLF1vXvfviOLLPM2X3jyMvXBrL5/YSuo96UxxzZC64z25b74o5Rx2ehd/T4oa/mhmzJu3X9nz27+aG78TSNbkzwXO37JrQt98VG3p8gGx7tcu/O33IrT5hXszutM0uy3X6oRiLTpvp82HXueyKJ++/v8dchlxD7hrfdz68O4Te9dDquL/z2eq5qpo3x/13/yT76Nx263WZ1peyX6YsnBlnXX5jx36XXYm7fuXn4+rlv48jP7B4gF+k5AdwR4AAAQIVJzDk96leJapi9Akz4owx2YFEdV9fZth1xeEZf9/sUiEPxIXnfzruaT++an2f+3R8cN5dsW3ixXHnill9fO/E4I5Niqmzdd2hHl9lXMWM3VW750+DOZbJrTXkGobteMaxTM/ueYYAAQIEKlHgFS3ZrZCJ5c483LylPWQpZE3LEiCQhkAW4K26O751+9K4Z+POfMlZQDtzXpx/7jkxfdLoAaaRC6/vjbWP/CBuu2ldbG1feswJMW/2+2LqjNNiUj+XoMgt3lS3II6atTILIPeNI6/6dtw3d3z7Vnre5y6vcffdcceSlfF4/tTa6okz49KPfzg+NKWm/9C7x7qDnGfjhlg+/+OxaN2z2QfRiTFj4WfjipmT8sF3Y6y//JSYs3L3zDvVPIj55JbetjrmHvu5iMX/EcvOel2n9Qd42GM+ufIGadHrpvubS8S+M1fEz6+bnD9DLL+BQdfQFFuWnRcnLHyk15Fj4pWx7t8/GDHgMnNjbLaF3HUXP75jdvzr0b+MO9Y+HD+59bao25rbIbJfTJzwoZhz3jlx/kD7Q7a0GwECBAhUuMCg36cGcvhdrJ59alwZn44f3zp98N83UfD4nd8vx8SMFf8W799xb3ztC7fm3+fa3usvueCceP9Z7cci3Wvv7/28j2OTguvsNGaPdQd5fNW+iR7rF3M809/c+ziWydUx6Bo696d9Ap3uCzie+VvHMp3gPCRAgACB1AQKzYsF0ql1WL0E9gKBggLpvcDDFAkQIECAAIEyE2j95fHSGLdyTVw+iL9mGnr1nQPPXCD9QCyeMmrom7MmAQIECBAgQGAEBAoNpF2yYwSaYJMECAyXwKiYUPva4dqY7RAgQIAAAQIEhkHg5ahfvjTqDp4SUyd2XK5rGDZsEwQIECBAgACBvUJAIL1XtNkkCSQqUH1kvP1/5a/XnOgUlE2AAAECBAhUmEDzE/Hg/c/HpAumxcQe36lRYXM1HQIECBAgQIDACAgIpEcA1SYJEChGoONbyqvffXK8Z7RPesVoWpcAAQIECBAYToHmaPzhqvj2c2+LD0wf1/93VQznsLZFgAABAgQIEKggAYF0BTXTVAikJZB9oNuwJM4YVxMTTr861jbsypf/l9i5vTGa4rA447zjB/8lQWlNXrUECBAgQIBAuQs0b47V/3R81I4dH8fNvjZW12+L5oZVccWVD8TfXP6JmFaSX5o3xY7tf8hL7YptO14udzX1ESBAgAABAgQGFBBID0hkAQIERkbg/0XD2u/H400RTRu/HvPOvSxW50Lpxh/Ezbc+H1OX3BoLpxw0MkPbKgECBAgQIEBgIIG/PBP/+dCz2VJNsXXdzXHZmW+N8ZM/H1vP/FosnzuhJGdHNzd8J5auachX2hg/uv2u2NDYPFDlXidAgAABAgQIlLXAK1qyWyEVFvqtiYVs27IECOxlAo31cc81n41Pr9yYfdTL3Q6JKRfOjQ/MnBmTa/bdyzBMlwABAgQIECgvgV2x5cFr4+Mf+Xr2C/TqGHPC7Jh/8ZyYPmn0yJfZsCzOmHxNPN7XSBOvjHX/PjfG9vW65wkQIECAAAECJRQoNC8WSJewOYYiQIAAAQIECBAgQIAAAQIECBAgQIBAJQkUGki7ZEcldd9cCBAgQIAAAQIECBAgQIAAAQIECBAgUMYCAukybo7SCBAgQIAAAQIECBAgQIAAAQIECBAgUEkCAulK6qa5ECBAgAABAgQIECBAgAABAgQIECBAoIwFBNJl3BylESBAgAABAgQIECBAgAABAgQIECBAoJIEBNKV1E1zIUAgCYHcxf7dCBAgQIAAAQKVJOD4ppK6aS4ECBAgQGBkBQTSI+tr6wQIECBAgAABAgQIECBAgAABAgQIECCQFxBI2xUIECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBuEAAECBAgQIECAAAECBAgQIECAAAECBATS9gECBAgQIECAAAECBAgQIECAAAECBAgQKImAQLokzAYhQIAAAQIECBAgQIAAAQIECBAgQIAAAYG0fYAAAQIECBAgQIAAAQIECBAgQIAAAQIESiIgkC4Js0EIECBAgAABAgQIECBAgAABAgQIECBAQCBtHyBAgAABAgQIECBAgAABAgQIECBAgACBkggIpEvCbBACBAgQIECAAAECBAgQIECAAAECBAgQEEjbBwgQIECAAAECBAgQIECAAAECBAgQIECgJAIC6ZIwG4QAAQIECBAgQIAAAQIECBAgQIAAAQIEBNL2AQIECBAgQIAAAQIECBAgQIAAAQIECBAoiYBAuiTMBiFAgAABAgQIECBAgAABAgQIECBAgAABgbR9gAABAgQIECBAgAABAgQIECBAgAABAgRKIiCQLgmzQQgQIECAAAECBAgQIECAAAECBAgQIEBAIG0fIECAAAECBAgQIECAAAECBAgQIECAAIGSCAikS8JsEAIECBAgQIAAAQIECBAgQIAAAQIECBAQSNsHCBAgQIAAAQIECBAgQIAAAQIECBAgQKAkAgLpkjAbhAABAgQIECBAgAABAgQIECBAgAABAgQE0vYBAgQIECBAgAABAgQIECBAgAABAgQIECiJgEC6JMwGIUCAAAECBAgQIECAAAECBAgQIECAAAGBtH2AAAECBAgQIECAAAECBAgQIECAAAECBEoiIJAuCbNBCBAgQIAAAQIECBAgQIAAAQIECBAgQEAgbR8gQIAAAQIECBAgQIAAAQIECBAgQIAAgZIICKRLwmwQAgQIECBAgAABAgQIECBAgAABAgQIEBBI2wcIECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBuEAAECBAgQIECAAAECBAgQIECAAAECBATS9gECBAgQIECAAAECBAgQIECAAAECBAgQKImAQLokzAYhQIAAAQIECBAgQIAAAQIECBAgQIAAAYG0fYAAAQIECBAgQIAAAQIECBAgQIAAAQIESiIgkC4Js0EIECBAgAABAgQIECBAgAABAgQIECBAQCBtHyBAgAABAgQIECBAgAABAgQIECBAgACBkggIpEvCbBACBAgQIECAAAECBAgQIECAAAECBAgQEEjbBwgQIECAAAECBAgQIECAAAECBAgQIECgJAIC6ZIwG4QAAQIECBAgQIAAAQIECBAgQIAAAQIEBNL2AQIECBAgQIAAAQIECBAgQIAAAQIECBAoiYBAuiTMBiFAgAABAgQIECBAgAABAgQIECBAgAABgbR9gAABAgQIECBAgAABAgQIECBAgAABAgRKIiCQLgmzQQgQIECAAAECBAgQIECAAAECBAgQIEBAIG0fIECAAAECBAgQIECAAAECBAgQIECAAIGSCAikS8JsEAIECBAgQIAAAQIECBAgQIAAAQIECBAQSNsHCBAgQIAAAQIECBAgQIAAAQIECBAgQKAkAgLpkjAbhAABAgQIECBAgAABAgQIECBAgAABAgQE0vYBAgQIECBAgAABAgQIECBAgAABAgQIECiJgEC6JMwGIUCAAAECBAgQIECAAAECBAgQIECAAAGBtH2AAAECBAgQIECAAAECBAgQIECAAAECBEoiIJAuCbNBCBAgQIAAAQIECBAgQIAAAQIECBAgQEAgbR8gQIAAAQIECBAgQIAAAQIECBAgQIAAgZIICKRLwmwQAgQIECBAgAABAgQIECBAgAABAgQIEBBI2wcIECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBuEAAECBAgQIECAAAECBAgQIECAAAECBATS9gECBAgQIECAAAECBAgQIECAAAECBAgQKImAQLokzAYhQIAAAQIECBAgQIAAAQIECBAgQIAAAYG0fYAAAQIECBAgQIAAAQIECBAgQIAAAQIESiIgkC4Js0EIECBAgAABAgQIECBAgAABAgQIECBAQCBtHyBAgAABAgQIECBAgAABAgQIECBAgACBkggIpEvCbBACBAgQIECAAAECBAgQIECAAAECBAgQEEjbBwgQIECAAAECBAgQIECAAAECBAgQIECgJAIC6ZIwG4QAAQIECBAgQIAAAQIECBAgQIAAAQIEBNL2AQIECBAgQIAAAQIECBAgQIAAAQIECBAoiYBAuiTMBiFAgAABAgQIECBAgAABAgQIECBAgAABgbR9gAABAgQIECBAgAABAgQIECBAgAABAgRKIiCQLgmzQQgQIECAAAECBAgQIECAAAECBAgQIEBAIG0fIECAAAECBAgQIECAAAECBAgQIECAAIGSCAikS8JsEAIECBAgQIAAAQIECBAgQIAAAQIECBAQSNsHCBAgQIAAAQIECBAgQIAAAQIECBAgQKAkAgLpkjAbhAABAgQIECBAgAABAgQIECBAgAABAgQE0vYBAgQIECBAgAABAgQIECBAgAABAgQIECiJgEC6JMwGIUCAAAECBAgQIECAAAECBAgQIECAAAGBtH2AAAECBAgQIECAAAECBAgQIECAAAECBEoiIJAuCbNBCBAgQIAAAQIECBAgQIAAAQIECBAgQEAgbR8gQIAAAQIECBAgQIAAAQIECBAgQIAAgZIICKRLwmwQAgQIECBAgAABAgQIECBAgAABAgQIEBBI2wcIECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBuEAAECBAgQIECAAAECBAgQIECAAAECBATS9gECBAgQIECAAAECBAgQIECAAAECBAgQKImAQLokzAYhQIAAAQIECBAgQIAAAQIECBAgQIAAAYG0fYAAAQIECBAgQIAAAQIECBAgQIAAAQIESiIgkC4Js0EIECBAgAABAgQIECBAgAABAgQIECBAQCBtHyBAgAABAgQIECBAgAABAgQIECBAgACBkggIpEvCbBACBAgQIECAAAECBAgQIECAAAECBAgQEEjbBwgQIECAAAECBAgQIECAAAECBAgQIECgJAIC6ZIwG4QAAQIECBAgQIAAAQIECBAgQIAAAQIEBNL2AQIECBAgQIAAAQIECBAgQIAAAQIECBAoiYBAuiTMBiFAgAABAgQIECBAgAABAgQIECBAgAABgbR9gAABAgQIECBAgAABAgQIECBAgAABAgRKIiCQLgmzQQgQIECAAAECBAgQIECAAAECBAgQIEBAIG0fIECAAAECBAgQIECAAAECBAgQIECAAIGSCAikS8JsEAIECBAgQIAAAQIECBAgQIAAAQIECBAQSNsHCBAgQIAAAQIECBAgQIAAAQIECBAgQKAkAgLpkjAbhAABAgQIECBAgAABAgQIECBAgAABAgQE0vYBAgQIECBAgAABAgQIECBAgAABAgQIECiJgEC6JMwGIUCAAAECBAgQIECAAAECBAgQIECAAAGBtH2AAAECBAgQIECAAAECBAgQIECAAAECBEoiIJAuCbNBCBAgQIAAAQIECBAgQIAAAQIECBAgQEAgbR8gQIAAAQIECBAgQIAAAQIECBAgQIAAgZIICKRLwmwQAgQIECBAgAABAgQIECBAgAABAgQIEBBI2wcIECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBtkrxBorI/VNy+IM8a9I66oaxzilHfFllUfjePG1kTtsR+N1Q27hrgdqxEgQIAAAQIECBAgQIAAAQIECBAoP4F9yq8kFRFISaA5Guvvj2/ddVt8aeXGaGotfUxMGPIUnom1t6+Nrbn1t66NO9Y+E9Pnjh/y1qxIgAABAgQIECBAgAABAgQIECBAoJwEnCFdTt1QS3oCTQ/F4vOXx6PPbc+H0cVO4dA48YITY0xuM2NOjPNPPLTYDVqfAAECBAgQIECAAAECBAgQIECAQNkICKTLphUKSVKgenIsfvw7sez2b8UXThg1DFPYN8ae9dX48ZaG2PzwV2N6zb7DsM0R2MS2++O6FZtGYMM2SYAAAQIECBAgQIAAAQIECBAgUMkCAulK7q65lVBgvzhgdJmGx8Ou8HLUL18eP2ke9g3bIAECBAgQIECAAAECBAgQIECAQIULCKQrvMGmVyqBV0XNuNeXarA9Ok7z5jtj4XJnR+/RJhicAAECBAgQIECAAAECBAgQIJCogEA60cYpm8AeEWj8aSy55KtR3/btjXukBIMSIECAAAECBAgQIECAAAECBAikKyCQTrd3KidQUoHmhu/GVefPi6Ubd5Z0XIMRIECAAAECBAgQIECAAAECBAhUjoBAunJ6aSbDIrArttT9Wyy9fFpMGFsTta3/jI/jZi+K5avqo7GgMZqjsX51XDf7+Px2amLC6QtieV1D9Hv55eaGWL9iUcw9dmKcsWyAS2O0LvvVuOL0ibvHqB17fMy99o5Y37BrgGq3Rf2qZV3q633dbLll/xTvnnxR3L07jN4Vjy/8+44xJyyI9c6aHsDbywQIECBAgAABAgQIECBAgAABAgJp+wCBdoHGDbF89tQ44cofxEsnfzl+saUhNm95ItatuDDe9IvbYtH86XHs6UtiQ2O/cXJ+a7kQ98I49cz5sXTds+0jRNPGlbFo1rQ469qf9gi3mxvWx23XzonjaqfEnH+5Jeq29p/wNjesjA8fNz2+8uRB8f476rNan44NaxbFjIl/iLqbPhNzTvpAXLdh2+6xuzzILr1x3emT49zbG6Lm4vuydbO5bq6LpR84MH6UW3fy1Pjwqs354Hx0TJp7S/w4W+bJFTOj7asb940jr/o/bevl1n3y2phc3WUEPxAgQIAAAQIECBAgQIAAAQIECBDoISCQ7kHiib1SoPnJWD7rQ7HooUPik3feEJ+YUhNVrRD7xtgpl8TNd30+po6pzgLlG+K88788QCj9Uvziyx+Jjz9cG/PXPLo77F1+8QkxpnWbO+Pxm+bFnGVPdjpTelPc9rGPxOdvWhdbB9GAXBh90bmL4sXZd8Wq686JSaNy1VbFqEnnxOI7lsSMrNZoqo+l51wcyzd3O1O68cG44uQLYunz74ub7vhczJg0um3Eqpo4cf4FcXxrsPxsPHjFp+K27usOojaLECBAgAABAgQIECBAgAABAgQIEOhLQCDdl4zn9yKBXbF5xdVx/WO7YsyZs+Ls2rZzgDsDVNWcFQsve2/kstqmjUvjn6+p63GGc5fl/+5jcfstC2J6p7B38qU3xB1XHdu6jYidUX/rHfHQ7rOtx8ecf38iC69/EfdeOL7zpnp5/Lv49ucXxYNxSlw0Y1w+OO+02Kjj4v1n1rQ90bQhvnHvLzoF3y/E+msWxj1bXxVTLrs4JrcG2Z3WHX1snPLuUfl1n4yf/Xx7pxc9JECAAAECBAgQIECAAAECBAgQIFCcgEC6OD9rV4JA449i2a0boileFW865s2Rj2O7zawqRp8xL2Yd0hpJx9Y1K+LePs8eflVMOPGdMbbtFOtO29k3amd9Ji49ev+257Y+EN9c91yn13MPq+OAA/+q23Ndf2yu/0Z8ZV1jVL/5rTGxe6Dcuuj/jEMPPywffDfFs/evjY35q4w016+Iz678dTbM2+KU9x7cdcOtP70upn3qk61ng8eYd8UpRx/YyzKeIkCAAAECBAgQIECAAAECBAgQIDA0gX2Gtpq1CFSKQHNsW3dP3Nd6veZxcczRB/U9saojYuppNbH0puyLBpt+Ht+peybm1A50NnO3zVWNizPPOzY7G/vBLAB/KTY9/fvs7OXXdTrLuTr+trYmu07zI9HtQhv5DTXFbx7dEK1XpV43P94+dn63AXr58cXt0fiX7Pmql2Pj9+va1j3ibXH06B6JeevKVTUz4+aHZ/ayIU8RIECAAAECBAgQIECAAAECBAgQKE5AIF2cn7WTF9gZG3/2eBYOD+bWfubxpmz5XfHUU7/N7sfnz0QezPq5ZbLrPL+hNg7OLrjxbLb2c5t+nV364y2Rv4rzIDbyUjQ89ZvW5faduSJ+ft3kAsZvjIZNzw9iDIsQIECAAAECBAgQIECAAAECBAgQGBkBl+wYGVdbTUbg+dj8ZOMgq62K1xxwwO6zmXc9+XT8dpBrdl6satSBcUD+iaYXtmVXky7k9nLs2NZ27nTzth3xx0JWjT/F9hfy511v3x478pfxKGgTFiZAgAABAgQIECBAgAABAgQIECBQhIBAugg8q1aawB9ie2P/50pX1xwe4/LTrsm4yScAAEAASURBVD5odOSvBj1kiMK30REqN/3yqXhmqKHyc5ujYfcXKg65fCsSIECAAAECBAgQIECAAAECBAgQKEhAIF0Ql4UrT+DVceBB++an9Xw89avBni1dHQePP6yPL0AcrNJQtvHaqJ2Q/9rFZ+viwY0vDzBYdo3s+++Lh1pz9k5zbXokHvhB9y9U7L6pl6N+xd1RP9TQu/vm/EyAAAECBAgQIECAAAECBAgQILDXCwik9/pdYG8HOCiOPrb9nOf2Lxns26S5MbvURevLNXHqSUfsvnxH32v0fKW4bfyPGDX6NfmNbooVn7szNvcXGDc/FWse+E3s3/pf+qioGf/a/LqNUfelb/QfNjc/Eeuf3jcO7f27D3tOzDMECBAgQIAAAQIECBAgQIAAAQIEBhAQSA8A5OVKF6iO10+ZGpOqc/NsimfXrIqH+ryURXM0/mpztJ5XfMiUmDpxvyHgvBwbv1+XfaFhdhvSNvaLiSdNiUPyIzc99tWY/+nvxpZeQ+ms3h/eGd877J0xsTVU7rpuPHtnXH39T7MvVezttis2r1gam97y9gK+cLG37XiOAAECBAgQIECAAAECBAgQIECAQIeAQLrDwqO9VKCq9oy46MzD2ma/9Ttx4z1PRa/5bmyPjT/blMXW+8ekC6blQ94C0bKzjh+8vyFb6bCY8S+zYtIQzj6umjgt/vHo9qtX74zHv3lRnHzmglhe19BRd3NDrF92ZXzwI0/HyWe/efeZ3D3WvWlefPDyZbG+If9lh7npNNbH6ps/E/OXRJz03oO7TPCVBxwYf936THPs2L6zY7wuS/mBAAECBAgQIECAAAECBAgQIECAQO8CAuneXTy7VwkcFJOvXBTzJuZC3p1Rf93VcdvmTgFt3qJ5831x45rfxZiTPhXXz5qwO+TtSfVSPPnIE72cebwtNly/MFY8e3BMXXJrLJxyUM9VB/NM1YT40Bc+mj+ru22Fpo0rY9GsKTF+bE3U5v6pnRJzFq6JF06fFWfXtl8jO1u2x7pZoL3ympgz+Yi29XLrHjU9Llv8QOwz/xMxbXTXxLzq0HExvvvZ5Fn4vfbKS+KL9QNdz3owk7MMAQIECBAgQIAAAQIECBAgQIBAJQsIpCu5u+Y2eIFR74j5X1kc5+RC6aaHY9F5F8cXd59xvCu21H0pPnzeF+P3kz8fd940M8Z2zWmzcV4Zo946PWbkQ+3Hb7ogTp19bayu39ZWQ2toOyvOW94cZy27I248q7afQHvgsqtqZ8XylVfGlDGt6XAvK1RnwXlW66KpPb54sXXduy+OI/taNTsD/MgLl8byub2E7qPeFMccmQvus9vWu2LOUYdn4fe0uOGvZsasSUO5hEnbpvybAAECBAgQIECAAAECBAgQIEBg7xB4RUt2K2SqubMvN2/JXXLAjUAlCmyL+lV3x7duXxr3bNyZn2AW0M6cF+efe05MnzR6gEnnwut7Y+0jP4jbbloXW9uXHnNCzJv9vpg647SYNKpHmt2+VOt9U92COGrWytgV+8aRV3077ps7vsvrXX7IXV7j7rvjjiUr4/GmtleqJ86MSz/+4fjQlJr+Q+8e6w5yno0bYvn8j8eiddmVsKsnxoyFn40rZk7qEXx3qdMPXQT8f7QLhx8IECBAgACBChBwfFMBTTQFAgQIECAwRIFCjwME0kOEthqBkRIoKJAeqSJsd0QFCv0f9YgWY+MECBAgQIAAgWEQcHwzDIg2QYAAAQIEEhUo9DjAJTsSbbSy9waBUTGh9rV7w0TNkQABAgQIECBAgAABAgQIECBAYC8REEjvJY02zQQFqo+Mt/+v/PWaEyxfyQQIECBAgAABAgQIECBAgAABAgS6Cwiku4v4mcAeFWiOP+7YEc1ZDdXvPjneM7r/603v0VINToAAAQIECBAgQIAAAQIECBAgQKBAAYF0gWAWJzA8As3RuGFJnDGuJiacfnWsbdiV3+xfYuf2xmiKw+KM846Pgb5CcXhqsRUCBAgQIECAAAECBAgQIECAAAECpREQSJfG2SgEugn8v2hY+/14vCmiaePXY965l8XqXCjd+IO4+dbnY+qSW2PhlIO6reNHAgQIECBAgAABAgQIECBAgAABAmkLCKTT7p/qkxXYLybNWxyLZ06M6twctn4nLps8NeYu/X38/V3fi5vPqg0X60i2uQonQIAAAQIECBAgQIAAAQIECBDoQ2CfPp73NAECIy0walLMuO7b2T8jPZDtEyBAgAABAgQIECBAgAABAgQIECgPAWdIl0cfVEGAAAECBAgQIECAAAECBAgQIECAAIGKFxBIV3yLTZAAAQIECBAgQIAAAQIECBAgQIAAAQLlISCQLo8+qIIAAQIECBAgQIAAAQIECBAgQIAAAQIVLyCQrvgWmyABAgQIECBAgAABAgQIECBAgAABAgTKQ0AgXR59UAUBAgQIECBAgAABAgQIECBAgAABAgQqXkAgXfEtNkECBAgQIECAAAECBAgQIECAAAECBAiUh4BAujz6oAoCBAgQIECAAAECBAgQIECAAAECBAhUvIBAuuJbbIIECBAgQIAAAQIECBAgQIAAAQIECBAoDwGBdHn0QRUECBAgQIAAAQIECBAgQIAAAQIECBCoeAGBdMW32AQJECBAgAABAgQIECBAgAABAgQIECBQHgIC6fLogyoItAr86U9/itw/bgQIECBAgAABAgQIECBAgAABAgQqUUAgXYldNadkBe6+667I/eNGgAABAgQIECBAgAABAgQIECBAoBIF9qnESZkTgRQFcmdGL1p4Tey///5xzrnnxqtf/eoUp6FmAgQIECBAgAABAgQIECBAgAABAn0KOEO6TxovECitQPuZ0Tt37nSWdGnpjUaAAAECBAgQIECAAAECBAgQIFAiAYF0iaANQ6A/gdzZ0f/65a/sXuSGf/2qa0nv1vCAAAECBAgQIECAAAECBAgQIECgUgQE0pXSSfNIWiB3dvRLL720ew7Okt5N4QEBAgQIECBAgAABAgQIECBAgEAFCQikK6iZppKmQPezo9tn4Szpdgn3BAgQIECAAAECBAgQIECAAAEClSIgkK6UTppHsgLdz45un4izpNsl3BMgQIAAAQIECBAgQIAAAQIECFSKgEC6UjppHkkK9HV2dPtknCXdLuGeAAECBAgQIECAAAECBAgQIECgEgQE0pXQRXNIVqCvs6PbJ+Qs6XYJ9wQIECBAgAABAgQIECBAgAABApUgIJCuhC6aQ5ICA50d3T4pZ0m3S7gnQIAAAQIECBAgQIAAAQIECBBIXUAgnXoH1Z+swEBnR7dPzFnS7RLuCRAgQIAAAQIECBAgQIAAAQIEUhcQSKfeQfUnKTDYs6PbJ+cs6XYJ9wQIECBAgAABAgQIECBAgAABAikLCKRT7p7akxUY7NnR7RN0lnS7hHsCBAgQIECAAAECBAgQIECAAIGUBQTSKXdP7UkKFHp2dPsknSXdLuGeAAECBAgQIECAAAECBAgQIEAgVQGBdKqdU3eyAoWeHd0+UWdJt0u4J0CAAAECBAgQIECAAAECBAgQSFVAIJ1q59SdpMBQz45un6yzpNsl3BMgQIAAAQIECBAgQIAAAQIECKQoIJBOsWtqTlZgqGdHt0/YWdLtEu4JECBAgAABAgQIECBAgAABAgRSFBBIp9g1NScpkDs7+ms33Fh07Tfd+LXIbcuNAAECBAgQIECAAAECBAgQIECAQGoC+6RWsHoJpCxw69dv67f8s8+cHveuWd3vMl4kQIAAAQIECBAgQIAAAQIECBAgkKqAQDrVzqk7OYFXv/rVMWnSpAHrHswyA27EAgQIECBAgAABAgQIECBAgAABAgTKUMAlO8qwKUoiQIAAAQIECBAgQIAAAQIECBAgQIBAJQoIpCuxq+ZEgAABAgQIECBAgAABAgQIECBAgACBMhQQSJdhU5REgAABAgQIECBAgAABAgQIECBAgACBShQQSFdiV82JAAECBAgQIECAAAECBAgQIECAAAECZSggkC7DpiiJAAECBAgQIECAAAECBAgQIECAAAEClSggkK7ErpoTAQIECBAgQIAAAQIECBAgQIAAAQIEylBAIF2GTVESAQIECBAgQIAAAQIECBAgQIAAAQIEKlFAIF2JXTUnAgQIECBAgAABAgQIECBAgAABAgQIlKGAQLoMm6IkAgQIECBAgAABAgQIECBAgAABAgQIVKKAQLoSu2pOBAgQIECAAAECBAgQIECAAAECBAgQKEMBgXQZNkVJBAgQIECAAAECBAgQIECAAAECBAgQqEQBgXQldtWcCBAgQIAAAQIECBAgQIAAAQIECBAgUIYCAukybIqSCBAgQIAAAQIECBAgQIAAAQIECBAgUIkCAulK7Ko5ESBAgAABAgQIECBAgAABAgQIECBAoAwFBNJl2BQlESBAgAABAgQIECBAgAABAgQIECBAoBIFBNKV2FVzIkCAAAECBAgQIECAAAECBAgQIECAQBkKCKTLsClKIkCAAAECBAgQIECAAAECBAgQIECAQCUKCKQrsavmRIAAAQIECBAgQIAAAQIECBAgQIAAgTIUEEiXYVOURIAAAQIECBAgQIAAAQIECBAgQIAAgUoUEEhXYlfNiQABAgQIECBAgAABAgQIECBAgAABAmUoIJAuw6YoiQABAgQIECBAgAABAgQIECBAgAABApUoIJCuxK6aEwECBAgQIECAAAECBAgQIECAAAECBMpQQCBdhk1REgECBAgQIECAAAECBAgQIECAAAECBCpRQCBdiV01JwIECBAgQIAAAQIECBAgQIAAAQIECJShgEC6DJuiJAIECBAgQIAAAQIECBAgQIAAAQIECFSigEC6ErtqTgQIECBAgAABAgQIECBAgAABAgQIEChDAYF0GTZFSQQIECBAgAABAgQIECBAgAABAgQIEKhEAYF0JXbVnAgQIECAAAECBAgQIECAAAECBAgQIFCGAgLpMmyKkggQIECAAAECBAgQIECAAAECBAgQIFCJAgLpSuyqOREgQIAAAQIECBAgQIAAAQIECBAgQKAMBQTSZdgUJREgQIAAAQIECBAgQIAAAQIECBAgQKASBQTSldhVcyJAgAABAgQIECBAgAABAgQIECBAgEAZCgiky7ApSiJAgAABAgQIECBAgAABAgQIECBAgEAlCgikK7Gr5kSAAAECBAgQIECAAAECBAgQIECAAIEyFBBIl2FTlESAAAECBAgQIECAAAECBAgQIECAAIFKFBBIV2JXzYkAAQIECBAgQIAAAQIECBAgQIAAAQJlKCCQLsOmKIkAAQIECBAgQIAAAQIECBAgQIAAAQKVKCCQrsSumhOBERSoHVszglu3aQKDE7AfDs6pv6UY9qfjNQIECBAgQIAAAQIE9qSAzyt7Un/kxxZIj7yxEQgQIECAAAECBAgQIECAAAECBAgQIEAgExBI2w0IECBAgAABAgQIECBAgAABAgQIECBAoCQCAumSMBuEAAECBAgQIECAAAECBAgQIECAAAECBATS9gECBAgQIECAAAECBAgQIECAAAECBAgQKImAQLokzAYhQIAAAQIECBAgQIAAAQIECBAgQIAAAYG0fYAAAQIECBAgQIAAAQIECBAgQIAAAQIESiIgkC4Js0EIECBAgAABAgQIECBAgAABAgQIECBAQCBtHyBAgAABAgQIECBAgAABAgQIECBAgACBkggIpEvCbBACBAgQIECAAAECBAgQIECAAAECBAgQEEjbBwgQIECAAAECBAgQIECAAAECBAgQIECgJAIC6ZIwG4QAAQIECBAgQIAAAQIECBAgQIAAAQIEBNL2AQIECBAgQIAAAQIECBAgQIAAAQIECBAoiYBAuiTMBiFAgAABAgQIECBAgAABAgQIECBAgAABgbR9gAABAgQIECBAgAABAgQIECBAgAABAgRKIiCQLgmzQQgQIECAAAECBAgQIECAAAECBAgQIEBAIG0fIECAAAECBAgQIECAAAECBAgQIECAAIGSCAikS8JsEAIECBAgQIAAAQIECBAgQIAAAQIECBAQSNsHCBAgQIAAAQIECBAgQIAAAQIECBAgQKAkAgLpkjAbhAABAgQIECBAgAABAgQIECBAgAABAgQE0vYBAgQIECBAgAABAgQIECBAgAABAgQIECiJgEC6JMwGIUCAAAECBAgQIECAAAECBAgQIECAAAGBtH2AAAECBAgQIECAAAECBAgQIECAAAECBEoiIJAuCbNBCBAgQIAAAQIECBAgQIAAAQIECBAgQOAVLdmtEIbasTWxeUtDIauU/bK5ObkRIECAAAECBAgQIECAAAECBAgQIEBgMAKVlo8OZs59LVNoXrxPXxvam563A+1N3TZXAnteoND/Ue/5ilVAgAABAgQIEOhfwPFN/z5eJUCAAAECBDoEXLKjw8IjAgQIECBAgAABAgQIECBAgAABAgQIEBhBAYH0COLaNAECBAgQIECAAAECBAgQIECAAAECBAh0CAikOyw8IkCAAAECBAgQIECAAAECBAgQIECAAIERFBBIjyCuTRMgQIAAAQIECBAgQIAAAQIECBAgQIBAh4BAusPCIwIECBAgQIAAAQIECBAgQIAAAQIECBAYQQGB9Aji2jQBAgQIECBAgAABAgQIECBAgAABAgQIdAgIpDssPCJAgAABAgQIECBAgAABAgQIECBAgACBERQQSI8grk0TIECAAAECBAgQIECAAAECBAgQIECAQIeAQLrDwiMCBAgQIECAAAECBAgQIECAAAECBAgQGEEBgfQI4to0AQIECBAgQIAAAQIECBAgQIAAAQIECHQICKQ7LDwiQIAAAQIECBAgQIAAAQIECBAgQIAAgREUEEiPIK5NE6hIgcb6WH3tnDhubE3Ujh0fx81eFvWNzRU5VZNKQMD+WFyT+BXnZ20CBAgQIECAAAECBEZWwGeWkfXdQ1sXSO8heMMSSE+gORo3LIkz3nZB3PGH6XHn5qfjP5e8N7atuyb+9zUPRVN6E1Jx0gL2x+Lax684P2sTIECAAAECBAgQIDCyAj6zjKzvnt36Pnt2eKMTIJCGQO6N4MvxwXNuiCePvDL+43P/EGOrXoj1P9uUBdGHxHuPOTT8diuNTlZGlfbH4vrIrzg/axMgQIAAAQIECBAgMLICPrOMrO+e3/orWrJbIWXUZn+mv3lLQyGrWJYAgdQFGh+MK06+KO7ZWhPz1qyJyyftl/qM9mj9/j9aJL/9sThAfsX5WZsAAQIEehVwfNMriycJECBAYCgCPrMMRW2PrlPocYCTGvdouwxOIAWBl6N+6fVZGN0U1SfMi9nC6BSaVsE12h+Lay6/4vysTYAAAQIECBAgQIDAyAr4zDKyvuWxdYF0efRBFQTKV2Db9+Jryzdl9Y2K4//h2BhdvpWqbG8QsD8W12V+xflZmwABAgQIECBAgACBkRXwmWVkfctk6wLpMmmEMgiUp0D2m8nlS6Mu942F1W+LU957cHmWqaq9RMD+WFyj+RXnZ20CBAgQIECAAAECBEZWwGeWkfUtn60LpMunFyohUHYCzZvvjIWtZ0dXx5gzZ8SU0VVlV6OC9h4B+2NxveZXnJ+1CRAgQIAAAQIECBAYWQGfWUbWt5y2LpAup26ohUDZCGTfaFt/d1x1yVejPnd2dNTEtHOPyy7a4UZgTwjYH4tT51ecn7UJECBAgAABAgQIEBhZAZ9ZRta3/Lb+ipbsVkhZhX5rYiHbtiwBAntYoGFZnDH5mni8zzJGxZQl/xHLznpdn0t4YWAB/x8d2Kh1CfvjIKH6WIxfHzCeJkCAAIGREHB8MxKqtkmAAIEKF/CZpWIaXOhxgEC6YlpvIgSGWaBpfVxx5Ky4Z1d1HHLhXVG34C3hgh3DY1zo/6iHZ9TEt2J/LK6B/IrzszYBAgQIDCjg+GZAIgsQIECAQH8CPrP0p1P2rxV6HOCSHWXfUgUS2DMCzf/3P+Onu3JjvyrGH/43wug90waj5gXsj8XtCvyK87M2AQIECBAgQIAAAQIjK+Azy8j6ltvWBdLl1hH1EPj/27v/UMvrMg/gn7BL0RIIElPg1gy3JAmHxl3JZddyaw21wCgVyj9yXWdJNthfZJFFLQuZxlq0tEVNRUFEZhFIJuZOuVLtFjYyG7hql6sxUJNM+E8SDJc6Z2xWm+7cvXfPPc955nleFyZn7txzns/zen/H5rznzNcUAk+Mg3ftH4emZ1k6b1xy4Y4Up3KIrgKux9mS5zebn0cTIECAAAECBAgQIDBfAa9Z5uub79kV0vkycSICixdYe2B88/bVJ89x9nnj3DPcrGPxoTQ+getxtvD5zebn0QQIECBAgAABAgQIzFfAa5b5+iZ8doV0wlAcicDCBR5/dDx8+OjkGJP7R//pueMPF34gB2gt4HqcLX5+s/l5NAECBAgQIECAAAEC8xXwmmW+vgmfXSGdMBRHIrBYgbVx5Nt3jnunffTYNV732rPdP3qxgTSf7nqc7QLgN5ufRxMgQIAAAQIECBAgMF8Br1nm65vz2RXSOXNxKgILFDg87rnjB+NYH730ovHiFz5rgWcxmoDrcbZrgN9sfh5NgAABAgQIECBAgMB8Bbxmma9vzmdXSOfMxakILE5g7afjxw/+8tj8pVdePF7l/tGLy8LkMVyPs10F/Gbz82gCBAgQIECAAAECBOYr4DXLfH2TPrtCOmkwjkVgUQJrB+8eXz80fX/06eOCS88fZyzqIOYSmAi4Hme7DPjN5ufRBAgQIECAAAECBAjMV8Brlvn6Zn12hXTWZJyLwEIEnhgH79o/Dk1nL503Lrlwx0JOYSiBJwVcj7NdCfxm8/NoAgQIECBAgAABAgTmK+A1y3x98z67QjpvNk5GYAECh8Z93/nJsblu17EAfiNPEHA9ngCyxR/y2yKYLydAgAABAgQIECBAIFTAa5ZQ7kTDFNKJwnAUAgsXOPKj8V8P/GpyDLfrWHgWDjCG63G2q4DfbH4eTYAAAQIECBAgQIDAfAW8Zpmvb+JnV0gnDsfRCMQKrI0j375z3Du9fbTbdcTSm7aOgOtxHZQtfIrfFrB8KQECBAgQIECAAAEC4QJes4STJxqokE4UhqMQWKzA4XHPHT8Yx/roV148XnXGaYs9junNBVyPs10A/Gbz82gCBAgQIECAAAECBOYr4DXLfH1zP7tCOnc+TkcgTuDog+P733l8Mu+scc3bLx5nbDj5yDjwlZvG3vPPGss7d02+XTD23vTVceDxtQ0f5ScJbFpg09eja3Fd0037TR89Mbz13eMNL5n+Wp58O//accv+1eFX87qyPkmAAAECBAgQIECAwHYIeM2yHYqn7HMopE/Z6BycwPYKrP3o++N7k9tHL517+XjT7uds8ORHxn037R1v/tDKeMXHvzdWHnlg/Pun/mI8tu8fx+UXv3d8Sym9gZ2f2qzA5q5H1+LJPDfnN330Y+Nb1791/NP9fzY+8j+rY2Xl7vGh3Q+Oj13zl+OG/Y+d7Ol9ngABAgQIECBAgAABAjMJeM0yE98p/2CF9CkfoQUIbIfAE+PgXfvHoem7o9971Vje4G4dawf2jX/4+Oq44B3vH9fumb6P+tlj50XvHP9y/flj6We3jfd8YP+Yvs/aB4H/v8DmrkfX4smEN+c3ffTagc+M93/3gvG+f7507Jz+uj9teVx23evHmePR8bUv3Dt577QPAgQIECBAgAABAgQIbLeA1yzbLXqqPd8zT7UDOy8BAnMQOHLn+Ld9q+P5V35s/PWejd4dffz/NKY39nj6x6SU/uOXjx3jP8eh7/5wrK5dNPZsUGo//ZG+T+D3BDZ1PboWf8/t+Cc25Tf94t8aHnpoXL78ieOPfuqf/3HnuOfIZeON7if/lInvESBAgAABAgQIECAwu4DXLLMbnuLP4B3Sp3iAjk9gawLTWxy8cbx054XjXf/71/Enf2X/po+Oe895x/j8jReN0zd8wsfH6kM/X/crTnvhS8ZZS5OfOrwyVt22Y10jnzxRYJbr0bU4vffzbL+ef5vHmW8bt61MbtfxyAnfHv6kMvrES9aPCRAgQIAAAQIECBDYgoDXLFvAavWlCulWcVu2vcDRg+PLnz0wji69YLz4Rc8da6vfHLf81RXjPUeuGl/8zDUb3qrjd+1+OR768U/X/4+e7Vgeu0739ujf9fKjdQW25XpsfC1ui98kmcP3j/semdxA3gcBAgQIECBAgAABAgS2U8Brlu3ULPVcCulScVqGwP8hsPQn423/evU4Z3JrjRtfc/Z42d/ePf7g0g+Pr39679izqRJ5x3j1VZeM54+j49Dtd4+Da0/NW/vJw+Oho88de9562ditj34KxvdOLjDT9ehaHDP5TWN5ztj92lePM49O/n1w1dvHLftXn/aHTL8aK1+7Y/z3036NnzxIP0OAAAECBAgQIECAAIF1BLxmWQfFp6YCz/j15GMrFMs7dx37a71beYyvJUCgksDkFh/XXzGuvfUX45y3fHB8ZPofQxsr46vXXT3e/bM3jC98/u/GH22q3K5ksrVd/Ht0a14n/2rX4sltNvszxw0fPeEBkz9cuuHW8aW9Lx3+fOkEGj8kQIAAgXUF/P5mXRafJECAAIGZBbxmmZkw4Am2+vsA75AOCMUIArUEnjf+/OavjNtufv0YX/6b8ZrlXWN5+erxjeW/H19URteKOv02rsXZI5oY3vjZse+GK8c503vATz+Wdo8rbv7c2KeMftLD/xIgQIAAAQIECBAgsEABr1kWiD+30d4hPTdaT0yAAIH1Bbb6J4frP4vPEiBAgAABAgTyCPj9TZ4snIQAAQIECEQLbPX3Ad4hHZ2QeQQIECBAgAABAgQIECBAgAABAgQIEGgqoJBuGry1CRAgQIAAAQIECBAgQIAAAQIECBAgEC2gkI4WN48AAQIECBAgQIAAAQIECBAgQIAAAQJNBRTSTYO3NgECBAgQIECAAAECBAgQIECAAAECBKIFFNLR4uYRIECAAAECBAgQIECAAAECBAgQIECgqYBCumnw1iZAgAABAgQIECBAgAABAgQIECBAgEC0gEI6Wtw8AgQIECBAgAABAgQIECBAgAABAgQINBVQSDcN3toECBAgQIAAAQIECBAgQIAAAQIECBCIFlBIR4ubR4AAAQIECBAgQIAAAQIECBAgQIAAgaYCCummwVubAAECBAgQIECAAAECBAgQIECAAAEC0QIK6Whx8wgQIECAAAECBAgQIECAAAECBAgQINBUQCHdNHhrEyBAgAABAgQIECBAgAABAgQIECBAIFpAIR0tbh4BAgQIECBAgAABAgQIECBAgAABAgSaCiikmwZvbQIECBAgQIAAAQIECBAgQIAAAQIECEQLKKSjxc0jQIAAAQIECBAgQIAAAQIECBAgQIBAUwGFdNPgrU2AAAECBAgQIECAAAECBAgQIECAAIFoAYV0tLh5BAgQIECAAAECBAgQIECAAAECBAgQaCqgkG4avLUJECBAgAABAgQIECBAgAABAgQIECAQLaCQjhY3jwABAgQIECBAgAABAgQIECBAgAABAk0FFNJNg7c2AQIECBAgQIAAAQIECBAgQIAAAQIEogUU0tHi5hEgQIAAAQIECBAgQIAAAQIECBAgQKCpgEK6afDWJkCAAAECBAgQIECAAAECBAgQIECAQLSAQjpa3DwCBAgQIECAAAECBAgQIECAAAECBAg0FVBINw3e2gQIECBAgAABAgQIECBAgAABAgQIEIgWUEhHi5tHgAABAgQIECBAgAABAgQIECBAgACBpgIK6abBW5sAAQIECBAgQIAAAQIECBAgQIAAAQLRAgrpaHHzCBAgQIAAAQIECBAgQIAAAQIECBAg0FRAId00eGsTIECAAAECBAgQIECAAAECBAgQIEAgWkAhHS1uHgECBAgQIECAAAECBAgQIECAAAECBJoKKKSbBm9tAgQIECBAgAABAgQIECBAgAABAgQIRAsopKPFzSNAgAABAgQIECBAgAABAgQIECBAgEBTAYV00+CtTYAAAQIECBAgQIAAAQIECBAgQIAAgWgBhXS0uHkECBAgQIAAAQIECBAgQIAAAQIECBBoKqCQbhq8tQkQIECAAAECBAgQIECAAAECBAgQIBAtoJCOFjePAAECBAgQIECAAAECBAgQIECAAAECTQUU0k2DtzYBAgQIECBAgAABAgQIECBAgAABAgSiBRTS0eLmESBAgAABAgQIECBAgAABAgQIECBAoKmAQrpp8NYmQIAAAQIECBAgQIAAAQIECBAgQIBAtIBCOlrcPAIECBAgQIAAAQIECBAgQIAAAQIECDQVUEg3Dd7aBAgQIECAAAECBAgQIECAAAECBAgQiBZQSEeLm0eAAAECBAgQIECAAAECBAgQIECAAIGmAgrppsFbmwABAgQIECBAgAABAgQIECBAgAABAtECCulocfMIECBAgAABAgQIECBAgAABAgQIECDQVEAh3TR4axMgQIAAAQIECBAgQIAAAQIECBAgQCBaQCEdLW4eAQIECBAgQIAAAQIECBAgQIAAAQIEmgoopJsGb20CBAgQIECAAAECBAgQIECAAAECBAhECyiko8XNI0CAAAECBAgQIECAAAECBAgQIECAQFMBhXTT4K1NgAABAgQIECBAgAABAgQIECBAgACBaAGFdLS4eQQIECBAgAABAgQIECBAgAABAgQIEGgqoJBuGry1CRAgQIAAAQIECBAgQIAAAQIECBAgEC2gkI4WN48AAQIECBAgQIAAAQIECBAgQIAAAQJNBRTSTYO3NgECBAgQIECAAAECBAgQIECAAAECBKIFFNLR4uYRIECAAAECBAgQIECAAAECBAgQIECgqYBCumnw1iZAgAABAgQIECBAgAABAgQIECBAgEC0gEI6Wtw8AgQIECBAgAABAgQIECBAgAABAgQINBVQSDcN3toECBAgQIAAAQIECBAgQIAAAQIECBCIFlBIR4ubR4AAAQIECBAgQIAAAQIECBAgQIAAgaYCCummwVubAAECBAgQIECAAAECBAgQIECAAAEC0QIK6Whx8wgQIECAAAECBAgQIECAAAECBAgQINBUQCHdNHhrEyBAgAABAgQIECBAgAABAgQIECBAIFpAIR0tbh4BAgQIECBAgAABAgQIECBAgAABAgSaCiikmwZvbQIECBAgQIAAAQIECBAgQIAAAQIECEQLKKSjxc0jQIAAAQIECBAgQIAAAQIECBAgQIBAUwGFdNPgrU2AAAECBAgQIECAAAECBAgQIECAAIFoAYV0tLh5BAgQIECAAAECBAgQIECAAAECBAgQaCqgkG4avLUJECBAgAABAgQIECBAgAABAgQIECAQLaCQjhY3jwABAgQIECBAgAABAgQIECBAgAABAk0FFNJNg7c2AQIECBAgQIAAAQIECBAgQIAAAQIEogUU0tHi5hEgQIAAAQIECBAgQIAAAQIECBAgQKCpgEK6afDWJkCAAAECBAgQIECAAAECBAgQIECAQLSAQjpa3DwCBAgQIECAAAECBAgQIECAAAECBAg0FVBINw3e2gQIECBAgAABAgQIECBAgAABAgQIEIgWUEhHi5tHgAABAgQIECBAgAABAgQIECBAgACBpgIK6abBW5sAAQIECBAgQIAAAQIECBAgQIAAAQLRAgrpaHHzCBAgQIAAAQIECBAgQIAAAQIECBAg0FRAId00eGsTIECAAAECBAgQIECAAAECBAgQIEAgWkAhHS1uHgECBAgQIECAAAECBAgQIECAAAECBJoKKKSbBm9tAgQIECBAgAABAgQIECBAgAABAgQIRAsopKPFzSNAgAABAgQIECBAgAABAgQIECBAgEBTAYV00+CtTYAAAQIECBAgQIAAAQIECBAgQIAAgWgBhXS0uHkECBAgQIAAAQIECBAgQIAAAQIECBBoKqCQbhq8tQkQIECAAAECBAgQIECAAAECBAgQIBAtoJCOFjePAAECBAgQIECAAAECBAgQIECAAAECTQUU0k2DtzYBAgQIECBAgAABAgQIECBAgAABAgSiBRTS0eLmESBAgAABAgQIECBAgAABAgQIECBAoKmAQrpp8NYmQIAAAQIECBAgQIAAAQIECBAgQIBAtIBCOlrcPAIECBAgQIAAAQIECBAgQIAAAQIECDQVUEg3Dd7aBAgQIECAAAECBAgQIECAAAECBAgQiBZQSEeLm0eAAAECBAgQIECAAAECBAgQIECAAIGmAgrppsFbmwABAgQIECBAgAABAgQIECBAgAABAtECCulocfMIECBAgAABAgQIECBAgAABAgQIECDQVEAh3TR4axMgQIAAAQIECBAgQIAAAQIECBAgQCBaQCEdLW4eAQIECBAgQIAAAQIECBAgQIAAAQIEmgoopJsGb20CBAgQIECAAAECBAgQIECAAAECBAhECyiko8XNI0CAAAECBAgQIECAAAECBAgQIECAQFMBhXTT4K1NgAABAgQIECBAgAABAgQIECBAgACBaAGFdLS4eQQIECBAgAABAgQIECBAgAABAgQIEGgqoJBuGry1CRAgQIAAAQIECBAgQIAAAQIECBAgEC2gkI4WN48AAQIECBAgQIAAAQIECBAgQIAAAQJNBRTSTYO3NgECBAgQIECAAAECBAgQIECAAAECBKIFFNLR4uYRIECAAAECBAgQIECAAAECBAgQIECgqYBCumnw1iZAgAABAgQIECBAgAABAgQIECBAgEC0gEI6Wtw8AgQIECBAgAABAgQIECBAgAABAgQINBVQSDcN3toECBAgQIAAAQIECBAgQIAAAQIECBCIFlBIR4ubR4AAAQIECBAgQIAAAQIECBAgQIAAgaYCCummwVubAAECBAgQIECAAAECBAgQIECAAAEC0QIK6Whx8wgQIECAAAECBAgQIECAAAECBAgQINBUQCHdNHhrEyBAgAABAgQIECBAgAABAgQIECBAIFpAIR0tbh4BAgQIECBAgAABAgQIECBAgAABAgSaCiikmwZvbQIECBAgQIAAAQIECBAgQIAAAQIECEQLKKSjxc0jQIAAAQIECBAgQIAAAQIECBAgQIBAUwGFdNPgrU2AAAECBAgQIECAAAECBAgQIECAAIFoAYV0tLh5BAgQIECAAAECBAgQIECAAAECBAgQaCqgkG4avLUJECBAgAABAgQIECBAgAABAgQIECAQLaCQjhY3jwABAgQIECBAgAABAgQIECBAgAABAk0FFNJNg7c2AQIECBAgQIAAAQIECBAgQIAAAQIEogUU0tHi5hEgQIAAAQIECBAgQIAAAQIECBAgQKCpgEK6afDWJkCAAAECBAgQIECAAAECBAgQIECAQLSAQjpa3DwCBAgQIECAAAECBAgQIECAAAECBAg0FVBINw3e2gQIECBAgAABAgQIECBAgAABAgQIEIgWUEhHi5tHgAABAgQIECBAgAABAgQIECBAgACBpgIK6abBW5sAAQIECBAgQIAAAQIECBAgQIAAAQLRAgrpaHHzCBAgQIAAAQIECBAgQIAAAQIECBAg0FRAId00eGsTIECAAAECBAgQIECAAAECBAgQIEAgWkAhHS1uHgECBAgQIECAAAECBAgQIECAAAECBJoKKKSbBm9tAgQIECBAgAABAgQIECBAgAABAgQIRAsopKPFzSNAgAABAgQIECBAgAABAgQIECBAgEBTAYV00+CtTYAAAQIECBAgQIAAAQIECBAgQIAAgWgBhXS0uHkECBAgQIAAAQIECBAgQIAAAQIECBBoKqCQbhq8tQkQIECAAAECBAgQIECAAAECBAgQIBAtoJCOFjePAAECBAgQIECAAAECBAgQIECAAAECTQUU0k2DtzYBAgQIECBAgAABAgQIECBAgAABAgSiBRTS0eLmESBAgAABAgQIECBAgAABAgQIECBAoKmAQrpp8NYmQIAAAQIECBAgQIAAAQIECBAgQIBAtIBCOlrcPAIECBAgQIAAAQIECBAgQIAAAQIECDQVUEg3Dd7aBAgQIECAAAECBAgQIECAAAECBAgQiBZQSEeLm0eAAAECBAgQIECAAAECBAgQIECAAIGmAgrppsFbmwABAgQIECBAgAABAgQIECBAgAABAtECCulocfMIECBAgAABAgQIECBAgAABAgQIECDQVEAh3TR4axMgQIAAAQIECBAgQIAAAQIECBAgQCBaQCEdLW4eAQIECBAgQIAAAQIECBAgQIAAAQIEmgoopJsGb20CBAgQIECAAAECBAgQIECAAAECBAhECyiko8XNI0CAAAECBAgQIECAAAECBAgQIECAQFMBhXTT4K1NgAABAgQIECBAgAABAgQIECBAgACBaAGFdLS4eQQIECBAgAABAgQIECBAgAABAgQIEGgqoJBuGry1CRAgQIAAAQIECBAgQIAAAQIECBAgEC2gkI4WN48AAQIECBAgQIAAAQIECBAgQIAAAQJNBRTSTYO3NgECBAgQIECAAAECBAgQIECAAAECBKIFFNLR4uYRIECAAAECBAgQIECAAAECBAgQIECgqYBCumnw1iZAgAABAgQIECBAgAABAgQIECBAgEC0gEI6Wtw8AgQIECBAgAABAgQIECBAgAABAgQINBVQSDcN3toECBAgQIAAAQIECBAgQIAAAQIECBCIFlBIR4ubR4AAAQIECBAgQIAAAQIECBAgQIAAgaYCCummwVubAAECBAgQIECAAAECBAgQIECAAAEC0QIK6Whx8wgQIECAAAECBAgQIECAAAECBAgQINBUQCHdNHhrEyBAgAABAgQIECBAgAABAgQIECBAIFpAIR0tbh4BAgQIECBAgAABAgQIECBAgAABAgSaCiikmwZvbQIECBAgQIAAAQIECBAgQIAAAQIECEQLKKSjxc0jQIAAAQIECBAgQIAAAQIECBAgQIBAUwGFdNPgrU2AAAECBAgQIECAAAECBAgQIECAAIFoAYV0tLh5BAgQIECAAAECBAgQIECAAAECBAgQaCqgkG4avLUJECBAgAABAgQIECBAgAABAgQIECAQLaCQjhY3jwABAgQIECBAgAABAgQIECBAgAABAk0FFNJNg7c2AQIECBAgQIAAAQIECBAgQIAAAQIEogUU0tHi5hEgQIAAAQIECBAgQIAAAQIECBAgQKCpgEK6afDWJkCAAAECBAgQIECAAAECBAgQIECAQLSAQjpa3DwCBAgQIECAAAECBAgQIECAAAECBAg0FVBINw3e2gQIECBAgAABAgQIECBAgAABAgQIEIgWUEhHi5tHgAABAgQIECBAgAABAgQIECBAgACBpgIK6abBW5sAAQIECBAgQIAAAQIECBAgQIAAAQLRAgrpaHHzCBAgQIAAAQIECBAgQIAAAQIECBAg0FRAId00eGsTIECAAAECBAgQIECAAAECBAgQIEAgWkAhHS1uHgECBAgQIECAAAECBAgQIECAAAECBJoKKKSbBm9tAgQIECBAgAABAgQIECBAgAABAgQIRAsopKPFzSNAgAABAgQIECBAgAABAgQIECBAgEBTAYV00+CtTYAAAQIECBAgQIAAAQIECBAgQIAAgWgBhXS0uHkECBAgQIAAAQIECBAgQIAAAQIECBBoKqCQbhq8tQkQWJzAyiOrixtuMgECBAgQIEBgDgJ+fzMHVE9JgAABAgSKCiikiwZrLQIECBAgQIAAAQIECBAgQIAAAQIECGQTUEhnS8R5CBAgQIAAAQIECBAgQIAAAQIECBAgUFRAIV00WGsRIECAAAECBAgQIECAAAECBAgQIEAgm4BCOlsizkOAAAECBAgQIECAAAECBAgQIECAAIGiAgrposFaiwABAgQIECBAgAABAgQIECBAgAABAtkEFNLZEnEeAgQIECBAgAABAgQIECBAgAABAgQIFBVQSBcN1loECBAgQIAAAQIECBAgQIAAAQIECBDIJqCQzpaI8xAgQIAAAQIECBAgQIAAAQIECBAgQKCogEK6aLDWIkCAAAECBAgQIECAAAECBAgQIECAQDYBhXS2RJyHAAECBAgQIECAAAECBAgQIECAAAECRQUU0kWDtRYBAgQIECBAgAABAgQIECBAgAABAgSyCSiksyXiPAQIECBAgAABAgQIECBAgAABAgQIECgqoJAuGqy1CBAgQIAAAQIECBAgQIAAAQIECBAgkE1AIZ0tEechQIAAAQIECBAgQIAAAQIECBAgQIBAUQGFdNFgrUWAAAECBAgQIECAAAECBAgQIECAAIFsAgrpbIk4DwECBAgQIECAAAECBAgQIECAAAECBIoKKKSLBmstAgQIECBAgAABAgQIECBAgAABAgQIZBNQSGdLxHkIECBAgAABAgQIECBAgAABAgQIECBQVEAhXTRYaxEgQIAAAQIECBAgQIAAAQIECBAgQCCbgEI6WyLOQ4AAAQIECBAgQIAAAQIECBAgQIAAgaICCumiwVqLAAECBAgQIECAAAECBAgQIECAAAEC2QQU0tkScR4CBAgQIECAAAECBAgQIECAAAECBAgUFVBIFw3WWgQIECBAgAABAgQIECBAgAABAgQIEMgmoJDOlojzECBAgAABAgQIECBAgAABAgQIECBAoKiAQrposNYiQIAAAQIECBAgQIAAAQIECBAgQIBANgGFdLZEnIcAAQIECBAgQIAAAQIECBAgQIAAAQJFBRTSRYO1FgECBAgQIECAAAECBAgQIECAAAECBLIJKKSzJeI8BAgQIECAAAECBAgQIECAAAECBAgQKCqgkC4arLUIECBAgAABAgQIECBAgAABAgQIECCQTUAhnS0R5yFAgAABAgQIECBAgAABAgQIECBAgEBRAYV00WCtRYAAAQIECBAgQIAAAQIECBAgQIAAgWwCCulsiTgPAQIECBAgQIAAAQIECBAgQIAAAQIEigoopIsGay0CBAgQIECAAAECBAgQIECAAAECBAhkE1BIZ0vEeQgQIECAAAECBAgQIECAAAECBAgQIFBUQCFdNFhrESBAgAABAgQIECBAgAABAgQIECBAIJuAQjpbIs5DgAABAgQIECBAgAABAgQIECBAgACBogIK6aLBWosAAQIECBAgQIAAAQIECBAgQIAAAQLZBBTS2RJxHgIECBAgQIAAAQIECBAgQIAAAQIECBQVUEgXDdZaBAgQIECAAAECBAgQIECAAAECBAgQyCagkM6WiPMQIECAAAECBAgQIECAAAECBAgQIECgqIBCumiw1iJAgAABAgQIECBAgAABAgQIECBAgEA2AYV0tkSchwABAgQIECBAgAABAgQIECBAgAABAkUFFNJFg7UWAQIECBAgQIAAAQIECBAgQIAAAQIEsgkopLMl4jwECBAgQIAAAQIECBAgQIAAAQIECBAoKqCQLhqstQgQIECAAAECBAgQIECAAAECBAgQIJBNQCGdLRHnIUCAAAECBAgQIECAAAECBAgQIECAQFEBhXTRYK1FgAABAgQIECBAgAABAgQIECBAgACBbAIK6WyJOA8BAgQIECBAgAABAgQIECBAgAABAgSKCiikiwZrLQIECBAgQIAAAQIECBAgQIAAAQIECGQTUEhnS8R5CBAgQIAAAQIECBAgQIAAAQIECBAgUFRAIV00WGsRIECAAAECBAgQIECAAAECBAgQIEAgm4BCOlsizkOAAAECBAgQIECAAAECBAgQIECAAIGiAgrposFaiwABAgQIECBAgAABAgQIECBAgAABAtkEFNLZEnEeAgQIECBAgAABAgQIECBAgAABAgQIFBVQSBcN1loECBAgQIAAAQIECBAgQIAAAQIECBDIJqCQzpaI8xAgQIAAAQIECBAgQIAAAQIECBAgQKCogEK6aLDWIkCAAAECBAgQIECAAAECBAgQIECAQDYBhXS2RJyHAAECBAgQIECAAAECBAgQIECAAAECRQUU0kWDtRYBAgQIECBAgAABAgQIECBAgAABAgSyCSiksyXiPAQIECBAgAABAgQIECBAgAABAgQIECgqoJAuGqy1CBAgQIAAAQIECBAgQIAAAQIECBAgkE1AIZ0tEechQIAAAQIECBAgQIAAAQIECBAgQIBAUQGFdNFgrUWAAAECBAgQIECAAAECBAgQIECAAIFsAgrpbIk4DwECBAgQIECAAAECBAgQIECAAAECBIoKKKSLBmstAgQIECBAgAABAgQIECBAgAABAgQIZBNQSGdLxHkIECBAgAABAgQIECBAgAABAgQIECBQVEAhXTRYaxEgQIAAAQIECBAgQIAAAQIECBAgQCCbgEI6WyLOQ4AAAQIECBAgQIAAAQIECBAgQIAAgaICCumiwVqLAAECBAgQIECAAAECBAgQIECAAAEC2QQU0tkScR4CBAgQIECAAAECBAgQIECAAAECBAgUFVBIFw3WWgQIECBAgAABAgQIECBAgAABAgQIEMgmoJDOlojzECBAgAABAgQIECBAgAABAgQIECBAoKiAQrposNYiQIAAAQIECBAgQIAAAQIECBAgQIBANgGFdLZEnIcAAQIECBAgQIAAAQIECBAgQIAAAQJFBRTSRYO1FgECBAgQIECAAAECBAgQIECAAAECBLIJKKSzJeI8BAgQIECAAAECBAgQIECAAAECBAgQKCqgkC4arLUIECBAgAABAgQIECBAgAABAgQIECCQTUAhnS0R5yFAgAABAgQIECBAgAABAgQIECBAgEBRAYV00WCtRYAAAQIECBAgQIAAAQIECBAgQIAAgWwCCulsiTgPAQIECBAgQIAAAQIECBAgQIAAAQIEigoopIsGay0CBAgQIECAAAECBAgQIECAAAECBAhkE1BIZ0vEeQgQIECAAAECBAgQIECAAAECBAgQIFBUQCFdNFhrESBAgAABAgQIECBAgAABAgQIECBAIJuAQjpbIs5DgAABAgQIECBAgAABAgQIECBAgACBogIK6aLBWosAAQIECBAgQIAAAQIECBAgQIAAAQLZBBTS2RJxHgIECBAgQIAAAQIECBAgQIAAAQIECBQVUEgXDdZaBAgQIECAAAECBAgQIECAAAECBAgQyCagkM6WiPMQIECAAAECBAgQIECAAAECBAgQIECgqIBCumiw1iJAgAABAgQIECBAgAABAgQIECBAgEA2AYV0tkSchwABAgQIECBAgAABAgQIECBAgAABAkUFFNJFg7UWAQIECBAgQIAAAQIECBAgQIAAAQIEsgkopLMl4jwECBAgQIAAAQIECBAgQIAAAQIECBAoKqCQLhqstQgQIECAAAECBAgQIECAAAECBAgQIJBNQCGdLRHnIUCAAAECBAgQIECAAAECBAgQIECAQFEBhXTRYK1FgAABAgQIECBAgAABAgQIECBAgACBbAIK6WyJOA8BAgQIECBAgAABAgQIECBAgAABAgSKCiikiwZrLQIECBAgQIAAAQIECBAgQIAAAQIECGQTUEhnS8R5CBAgQIAAAQIECBAgQIAAAQIECBAgUFRAIV00WGsRIECAAAECBAgQIECAAAECBAgQIEAgm4BCOlsizkOAAAECBAgQIECAAAECBAgQIECAAIGiAgrposFaiwABAgQIECBAgAABAgQIECBAgAABAtkEFNLZEnEeAgQIECBAgAABAgQIECBAgAABAgQIFBVQSBcN1loECBAgQIAAAQIECBAgQIAAAQIECBDIJqCQzpaI8xAgQIAAAQIECBAgQIAAAQIECBAgQKCogEK6aLDWIkCAAAECBAgQIECAAAECBAgQIECAQDYBhXS2RJyHAAECBAgQIECAAAECBAgQIECAAAECRQUU0kWDtRYBAgQIECBAgAABAgQIECBAgAABAgSyCSiksyXiPAQIECBAgAARlAmbAAAGtUlEQVQBAgQIECBAgAABAgQIECgqoJAuGqy1CBAgQIAAAQIECBAgQIAAAQIECBAgkE1AIZ0tEechQIAAAQIECBAgQIAAAQIECBAgQIBAUQGFdNFgrUWAAAECBAgQIECAAAECBAgQIECAAIFsAgrpbIk4DwECBAgQIECAAAECBAgQIECAAAECBIoKKKSLBmstAgQIECBAgAABAgQIECBAgAABAgQIZBNQSGdLxHkIECBAgAABAgQIECBAgAABAgQIECBQVEAhXTRYaxEgQIAAAQIECBAgQIAAAQIECBAgQCCbgEI6WyLOQ4AAAQIECBAgQIAAAQIECBAgQIAAgaICCumiwVqLAAECBAgQIECAAAECBAgQIECAAAEC2QQU0tkScR4CBAgQIECAAAECBAgQIECAAAECBAgUFVBIFw3WWgQIECBAgAABAgQIECBAgAABAgQIEMgmoJDOlojzECBAgAABAgQIECBAgAABAgQIECBAoKiAQrposNYiQIAAAQIECBAgQIAAAQIECBAgQIBANgGFdLZEnIcAAQIECBAgQIAAAQIECBAgQIAAAQJFBRTSRYO1FgECBAgQIECAAAECBAgQIECAAAECBLIJKKSzJeI8BAgQIECAAAECBAgQIECAAAECBAgQKCqgkC4arLUIECBAgAABAgQIECBAgAABAgQIECCQTUAhnS0R5yFAgAABAgQIECBAgAABAgQIECBAgEBRAYV00WCtRYAAAQIECBAgQIAAAQIECBAgQIAAgWwCCulsiTgPAQIECBAgQIAAAQIECBAgQIAAAQIEigoopIsGay0CBAgQIECAAAECBAgQIECAAAECBAhkE1BIZ0vEeQgQIECAAAECBAgQIECAAAECBAgQIFBUQCFdNFhrESBAgAABAgQIECBAgAABAgQIECBAIJuAQjpbIs5DgAABAgQIECBAgAABAgQIECBAgACBogIK6aLBWosAAQIECBAgQIAAAQIECBAgQIAAAQLZBBTS2RJxHgIECBAgQIAAAQIECBAgQIAAAQIECBQVUEgXDdZaBAgQIECAAAECBAgQIECAAAECBAgQyCagkM6WiPMQIECAAAECBAgQIECAAAECBAgQIECgqIBCumiw1iJAgAABAgQIECBAgAABAgQIECBAgEA2AYV0tkSchwABAgQIECBAgAABAgQIECBAgAABAkUFFNJFg7UWAQIECBAgQIAAAQIECBAgQIAAAQIEsgkopLMl4jwECBAgQIAAAQIECBAgQIAAAQIECBAoKqCQLhqstQgQIECAAAECBAgQIECAAAECBAgQIJBNQCGdLRHnIUCAAAECBAgQIECAAAECBAgQIECAQFEBhXTRYK1FgAABAgQIECBAgAABAgQIECBAgACBbAIK6WyJOA8BAgQIECBAgAABAgQIECBAgAABAgSKCiikiwZrLQIECBAgQIAAAQIECBAgQIAAAQIECGQTUEhnS8R5CBAgQIAAAQIECBAgQIAAAQIECBAgUFRAIV00WGsRIECAAAECBAgQIECAAAECBAgQIEAgm4BCOlsizkOAAAECBAgQIECAAAECBAgQIECAAIGiAgrposFaiwABAgQIECBAgAABAgQIECBAgAABAtkEFNLZEnEeAgQIECBAgAABAgQIECBAgAABAgQIFBVQSBcN1loECBAgQIAAAQIECBAgQIAAAQIECBDIJqCQzpaI8xAgQIAAAQIECBAgQIAAAQIECBAgQKCowDO3stfyzl3Hvvz4P7fyWF9LgAABAgQIECBAgAABAgQIECBAgAABAr0FnvHryUdvAtsTIECAAAECBAgQIECAAAECBAgQIECAQISAW3ZEKJtBgAABAgQIECBAgAABAgQIECBAgAABAkMh7SIgQIAAAQIECBAgQIAAAQIECBAgQIAAgRABhXQIsyEECBAgQIAAAQIECBAgQIAAAQIECBAgoJB2DRAgQIAAAQIECBAgQIAAAQIECBAgQIBAiIBCOoTZEAIECBAgQIAAAQIECBAgQIAAAQIECBBQSLsGCBAgQIAAAQIECBAgQIAAAQIECBAgQCBEQCEdwmwIAQIECBAgQIAAAQIECBAgQIAAAQIECCikXQMECBAgQIAAAQIECBAgQIAAAQIECBAgECKgkA5hNoQAAQIECBAgQIAAAQIECBAgQIAAAQIEFNKuAQIECBAgQIAAAQIECBAgQIAAAQIECBAIEVBIhzAbQoAAAQIECBAgQIAAAQIECBAgQIAAAQIKadcAAQIECBAgQIAAAQIECBAgQIAAAQIECIQI/Ab50uoXKeEZtAAAAABJRU5ErkJggg==" alt></p>
<p>An object is placed 1.5 cm from the objective lens. The focal length <em>f</em><sub>o</sub> of the objective lens is 1.0 cm.</p>
<p>(i) Draw rays on the diagram to show the formation of the intermediate image.</p>
<p>(ii) Calculate the distance of the intermediate image from the objective lens.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Lenses used in the compound microscope are subject to spherical aberration and chromatic aberration.</p>
<p>Explain what is meant by</p>
<p>(i) spherical aberration.</p>
<p>(ii) chromatic aberration.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the digital transmission of information.</p>
</div>
<div class="question">
<p>Digital information that is transmitted along optic fibres is often subject to dispersion due to light taking different paths along the fibre.</p>
<p><img 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" alt></p>
<p>In a particular optic fibre of length 2.00×10<sup>4 </sup>m, the refractive index of the cladding is 1.41 and that of the core is 1.44.</p>
<p>Two possible light paths are:</p>
<p style="padding-left: 30px;">Path A: along the central axis of the fibre.<br>Path B: the path followed by light that is initially incident on the cladding at an angle just greater than the critical angle.</p>
<p>The speed of light in the core of the fibre is 2.10×10<sup>8 </sup>ms<sup>–1</sup>.</p>
<p>Show that the difference in transmission time between path B and path A is approximately 2.0 μs.</p>
</div>
<br><hr><br><div class="specification">
<p>The diagram represents a simple optical astronomical reflecting telescope with the path of some light rays shown.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, with the letter X, the position of the focus of the primary mirror.</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>This arrangement using the secondary mirror is said to increase the focal length of the primary mirror. State why this is an advantage.</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>Distinguish between this mounting and the Newtonian mounting.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A radio telescope also has a primary mirror. Identify <strong>one </strong>difference in the way radiation from this primary mirror is detected.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a magnifying glass and a telescope.</p>
</div>
<div class="specification">
<p class="p1">A thin converging (convex) lens is used as a magnifying glass. Object O is placed between a focal point of the lens and the centre of the lens. The focal points of the lens are shown, labelled F.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-12_om_05.40.30.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/18.a"></p>
</div>
<div class="specification">
<p class="p1">The position of the lens in (a) is changed so that a virtual image of the object is formed at the near point of the eye. The eye is very close to the lens.</p>
</div>
<div class="specification">
<p class="p1">The lens in (a) has a focal length of 6.0 cm and is now used as the eyepiece of an astronomical telescope. The objective lens of the telescope has a focal length of 90 cm. The telescope is used in normal adjustment.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Define the term <em>focal point</em>.</p>
<p class="p1">(ii) On the diagram, construct rays to locate the position of the image of the object. Label the image I.</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 class="p1">(i) Define the term <em>near point</em>.</p>
<p class="p1">(ii) Outline the advantage of having the image positioned at the near point of the eye.</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">(i) State the separation of the objective lens and the eyepiece lens.</p>
<p class="p1">(ii) Determine the angular magnification of the telescope.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a convex lens.</p>
<p>The diagram below, drawn to scale, shows a small object O placed in front of a thin convex (converging) lens. The focal points of the lens are shown, labelled F. The lens is represented by the straight line XY.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question">
<p>(i) Define the term <em>focal point</em>.</p>
<p>(ii) On the diagram above, construct the paths of two rays in order to locate the position of the image formed by the lens. Label the image I.</p>
<p>iii) Explain whether the image is real <strong>or</strong> virtual.</p>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows planar wavefronts incident on a converging lens. The focal point of the lens is marked with the letter F.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_08.02.15.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/08"></p>
<p>Wavefront X is incomplete. Point Q and point P lie on the surface of the lens and the principal axis.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, sketch the part of wavefront X that is inside the lens.</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>On the diagram, sketch the wavefront in air that passes through point P. Label this wavefront Y.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain your sketch in (a)(i).</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>Two parallel rays are incident on a system consisting of a diverging lens of focal length 4.0 cm and a converging lens of focal length 12 cm.</p>
<p style="text-align: center;"><img 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"></p>
<p>The rays emerge parallel from the converging lens. Determine the distance between the two lenses.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the simple magnifying glass and the compound microscope.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A converging lens is used as a magnifying glass. On the diagram draw rays to construct the image of the object, o.</p>
<p><img 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" alt></p>
<p> </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 lens has a focal length <em>f</em>. When the image is formed at the near point, the distance <em>u</em> of the object from the lens is given by</p>
<p>\[u = \frac{{fD}}{{D + f}}\]</p>
<p>where <em>D</em> is the near point distance.</p>
<p>Deduce that the angular magnification <em>M</em> is given by</p>
<p>\[M = 1 + \frac{D}{f}\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A compound microscope consists of an eyepiece lens of focal length 6.0 cm and an objective lens of focal length 2.8 cm. An object is placed 3.4 cm from the objective lens and the final image of the object is formed by the microscope at the near point.</p>
<p>Determine the</p>
<p>(i) angular magnification of the eyepiece. Take the near point distance to be 25 cm.</p>
<p>(ii) distance from the objective lens of the intermediate image formed by this lens.</p>
<p>(iii) overall magnification of the compound microscope.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A converging (convex) lens forms an image of an object on a screen.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify whether the image is real or virtual.</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>The lens is 18 cm from the screen and the image is 0.40 times smaller than the object. Calculate the power of the lens, in cm<sup>–1</sup>.<span class="Apple-converted-space"> </span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light passing through this lens is subject to chromatic aberration. Discuss the effect that chromatic aberration has on the image formed on the screen.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A system consisting of a converging lens of focal length F<sub>1</sub> (lens 1) and a diverging lens (lens 2) are used to obtain the image of an object as shown on the scaled diagram. The focal length of lens 1 (F<sub>1</sub>) is 30 cm.</p>
<p><img 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f0a2vaoNmz5oG5bvUidU+1yhJzc21ee8nrKvBZsS1nd8VnKS9ZaRmSyfbBN5pS2lCVXd2yW8pI17WhMVt6SK2M2WZ/WUqo5x8HhOmH+p/TIqmO14fSj5f52fGpHl56f+QU98elz5dZwOuQ15QTNXfWgdlz+a93c8btqa/tdddz8a12+435dO+u9hxRPsuGJ3nuTFAuiTF7jwNtXnsYfUFdXVwl5/Da3Ievtrk7fbSSt38fxJW277IqHExh5lU3SGmZV3qXIqq5663FZ8vLIs+3yMTdbX/zzP/+zfud3fqfmPs3TI8+2K8+jVh+b9IUTOHhtxGPEY7xJ5TlTvqb63k5fpO+Lct8c3DO7d3FfeVJx9CWNvS1vqutnoVCoa/9G7mwpq3OxlJes/kYytn5sLbnecsstxayv3Vmqbty4segyll/jbT/+8Y8Xf/KTn5Q/Cu7n+KzBhasIZCmri24pL1krBluGv2KbIea4qny7xv1/jrevPGU3F6ImBBBAAIFKgeeff16bNm0qbd6yZUvlx0H8vnDhwlJGl3X8q6+vT8cdd5zOOOOM8Zt5jwACCCBgVMDbV56MehAbAQQQCF7gnXfe0Xnnnaf77rtPf/iHf6izzjpLTz31lI455pjgsrvJxJVXXqlnn31WRx55pPbs2aOTTjpJv/jFL3TiiScGl5dACCCAAALxAnFfeeIORbwZnyCAAAJBCjz22GOaPXv22N/wL1++XLfeemuQWd1diAsuuEAus3vddddd2rhxI5OJIHuLUAgggEBtAt4mFJUP6dQWrzF7WcrqRCzlJau/MYytH9vQXQcGBnTPPffos5/97BjAhRdeqG3btqnyq0VjBXJ+4x4QdJn/8i//Ui6/+ypU6K/Qx8F4P0tZXW5Leck6fqRl+x7bbD3LteXlelg5AD8RQAABBMIXWLFihVatWjXh603uq0Tu60/uq0Xbt28P7iDcV7Fc5gULFmj37t2lrz4FF5JACCCAAAI1CzChqJmOHRFAAIHGC7i/6Y969sB9tcg97Bzqa/78+aVonZ2doUYkFwIIIIBAjQLevvJUYx52QwABBBCYRCBqMlEuPtln5TL8RAABBBBAIGsBVnnKWpT6EEAAgQYKxK240cAIiZuylDXxQVEQAQQQaCGBuOs4dyhaaBBwqAgggAACCCCAAAIIZC3gbUKR11PmtQBZyuqOz1JestYyIpPtg20yp7SlLLmmPTbKJxewNA4sZXU9YCkvWZOfM2lLYptWLFn5vFy9TSiSHTalEEAAAQQQQAABBBBAwLIAEwrLvUd2BBBAAAEEEEAAAQRyFmBCkXMH0DwCCIQg8K4Gei9S24Je/WMxhDzjMwxr3847NKdjpfr3Do//wPj7g+YDQRzWsPYN9Ku3Z4HcQ4fd3d1q61isdU8PaJ9xaeIjgAACvgVY5cm3MPUjgIABAfeH28s049GPafeTS9QZzF+1DGvfrm/o5mtu19oX5mvrrlWaO31iuLgVN0JEn5g1LPPhV/t0xVl/rd9ev163XnOO2qfs19D2+/XZC9brsHu+rfsX/YEmyocoTCYEEEDAr8DE6/jBtrg+HrTgHQIIIBCOwPCQdj50k676docuuviUcHI1ZZJ39dLmb6hX52vx0g+rvfT/jIer/eylunHV6epdfq+2NdXdoabsRA4KAQRyFPA2ocjrKfNaLC1ldcdnKS9ZaxmRyfbBNplT2lLfuHf96C77NbRzg3rmdJS+AtPWtkA9vf0a2Ff+fs7r6u85U20Lvqz+7ePKHfI1mb0a6O8dV0+H5vT0qn9g7yTR3tXAg9fput1zdOu1/15HTVKyuT7Ky/wIdS75poqDq8fuAE04v4Ze0iuv7Q+WekLWYFMeDGYpL1kP9lvW77DNWnSkvrxcvU0o/DBRKwIIINAIgf16te9azTr/GR2/ZqcOFIsqvv23mvHsNZp9zSa9Wp5TuChbbtHNG/+Flj6xR8XibzT4yCn6H/Ov1fqdb0pyzz88oGWXPKcZhV0qunoO/Eifm/qo5l39LcU/O3C4OhbeoSdWf3T0b8sbccx5t5G3+STHP/9jOvfUIyYpwEcIIIBAawswoWjt/ufoEUAgSmDv93XX8j7NXHWDrjm7feS789M+oCV336lLn1ytu7a9fnCv9sv1uRsvUOc0dzk9XO1n/ged3f5jPf33r2lY+zX49z/Qtpnn6NzO6SP7TDlBc1dvVnHzZM9qTNG09t/TtIOtNP+73M0PJR5+9e+05qafacmyeTqV/7c8FIgtCCCAwKgAl0iGAgIIIDBBoKi9O57RhqEOnXHysRMfxJ3WoRkzB7Vh8z8o9gtLpTLSC7sHtU+Hq+PffVizt3xFD2z6nvr7to37ytSERlv8l+HwzH8zqAdXrtbLl9+uVRfwQHaLD1AOHwEEqggwoagCxMcIINCqAju1dt5xo89PtI38nHq6lm4ZSgEyRdNmXaMndq/Th978tm7+8zmacdRUtc3pUW8/y5EeChmI+b4X9T+//oBu0tUqrJzXQl87O7RH2IIAAggkEfA2oejq6krSfhBlLGV1YJbyktXfEMfWj+1fLls2WvGFemD3OyPPPbhnH8b9N7hmrka/wJQgxBRN65ytRUvW6DvFog4M7tDGP31NN837hG7uH/fVqQQ1NX+R/M2Hh57THVf9Jz0zY7X6v3ypTit9lS1seUvXAidpKS9Z/Y19bP3Y5uXqbULhh4laEUAAAd8CUzT9zI/o0vaf6bkX/7fGP3+tfdu1bs6pWtC7a+L2FJGmtM/SoisX69L2QT3/yus115OiSQNFQzDfr6H+L2hex4X6f47/grYZmUwY6FwiIoBACwh4m1DktWxVLX1mKas7Pkt5yVrLiEy2D7bJnNKWKi0bO/1cfeqe8/Tk8s/rzu1DI3/o37dLfTd/TtfrKq2+qHPisxWxjYz+a9BzVqpvbJnYvRp45hlt1yItW3BKwnpiG2ieD3I1d6txfVmfmPdftXvJPXrki4vU/8h9ZmwtXQscqqW8ZPV3GmDrxzYvV28TCj9M1IoAAgg0QuBwnbBotbY9cp5e65mlqW1tajvqQj1+3DLt+NpVmpX4azBHqPPyO7Xj6mP0+OyjR5/HOFqzHz9GVz9xoy444fBGHIyRNnI0Hx7QN1fepm2Shnr/XCdObVN3d/e452fOVA9fTzMyjoiJAAJ5CByWR6O0iQACCIQlMPoPmy0Z/7en09U5d4nWuP8iwx6ruWt2qFj54ZTTtGTzoJaU95nSrlmLrtND7r/ytlQ/D2ZLtVvwhaOOKyfzyj4b/Vv0vL6LHHzXERABBBCoEOAORQUIvyKAAAIIIIAAAggggEBygbaiW7pEKt3aHX2bfG9KIoAAAgjkKtDW1lZagSrXEAkbt5Q14SFRDAEEEGgpgbjrOHcoWmoYcLAIIIAAAggggAACCGQr4G1CkddT5rXwWMrqjs9SXrLWMiKT7YNtMqe0pSy5pj02yicXsDQOLGV1PWApL1mTnzNpS2KbVixZ+bxcvU0okh02pRBAAAEEEEAAAQQQQMCyABMKy71HdgQQQAABBBBAAAEEchZgQpFzB9A8AggggAACCCCAAAKWBVjlyXLvkR0BBFpeIG7FjRBhLGUN0Y9MCCCAQN4Ccddx7lDk3TO0jwACCCCAAAIIIICAYQFvE4q8njKvpS8sZXXHZykvWWsZkcn2wTaZU9pSllzTHhvlkwtYGgeWsroesJSXrMnPmbQlsU0rlqx8Xq7eJhTJDptSCCCAAAIIIIAAAgggYFmACYXl3iM7AggggAACCCCAAAI5CzChyLkDaB4BBBBAAAEEEEAAAcsCrPJkuffIjgACLS8Qt+JGiDCWsoboRyYEEEAgb4G46zh3KPLuGdpHAAEEEEAAAQQQQMCwgLcJRV5PmdfSF5ayuuOzlJestYzIZPtgm8wpbSlLrmmPjfLJBSyNA0tZXQ9YykvW5OdM2pLYphVLVj4vV28TimSHTSkEEEAAAQQQQAABBBCwLODtGYrxM6Surq6S0fhtbkPW212dvttIWr+P40vadtkVDycw8iqbpDXMqrxLkVVd9dbjsuTlkWfb5WNutr7o7u5WoVCouU8b6VGZtZFtu7bcqzwOKs+jyT6L2yfr7S5DZa6s24irP8+2KzO1el+E5EFfrHcEE16NOifrGQfljBOCZ/RL3DMUKo6+pLG35U11/SwUCnXt38idLWV1LpbyktXfSMbWj60lVyeQ9bXbj+pIrZayWhoHlrK6kWApL1n9XRGw9WPr2zXuOu7tDkVGEyGqQQABBBCYRCD2b4sm2SevjyxlzcuIdhFAAIGQBeKu4zxDEXKvkQ0BBBBAAAEEEEAAgcAFvE0oor77FaqFpazO0FJesvob9dj6sbXk6keAWp2ApXFgKSu2/s4vxgG2eZ5f3iYU/rqVmhFAAAEEEEAAAQQQQCAUASYUofQEORBAAAEEEEAAAQQQMCjAhMJgpxEZAQQQQAABBBBAAIFQBJhQhNIT5EAAAQQQQAABBBBAwKAAy8Ya7DQiI4AAAmWBuCX8yp+H9NNS1pDcyIIAAgiEIhB3HecORSg9RA4EEEAAAQQQQAABBAwKeJtQWFq+zFJWN8Ys5SWrv6sCtn5sLbn6EaBWJ2BpHFjKiq2/84txgG2e55e3CYW/bqVmBBBAAAEEEEAAAQQQCEWACUUoPUEOBBBAAAEEEEAAAQQMCjChMNhpREYAAQQQQAABBBBAIBQBVnkKpSfIgQACCNQgELfiRg1Ved/FUlbvGDSAAAIIGBSIu45zh8JgZxIZAQQQQAABBBBAAIFQBLxNKCytNmApqxs4lvKS1d+pjq0fW0uufgSo1QlYGgeWsmLr7/xiHGCb5/nlbULhr1upGQEEEEAAAQQQQAABBEIRYEIRSk+QAwEEEEAAAQQQQAABgwJMKAx2GpERQAABBBBAAAEEEAhFgFWeQukJciCAAAI1CMStuFFDVd53sZTVOwYNIIAAAgYF4q7j3KEw2JlERgABBBBAAAEEEEAgFAFvEwpLqw1YyuoGjqW8ZPV3qmPrx9aSqx8BanUClsaBpazY+ju/GAfY5nl+eZtQ+OtWakYAAQQQQAABBBBAAIFQBJhQhNIT5EAAAQQQQAABBBBAwKAAEwqDnUZkBBBAAAEEEEAAAQRCEWCVp1B6ghwIIIBADQJxK27UUJX3XSxl9Y5BAwgggIBBgbjrOHcoDHYmkRFAAAEEEEAAAQQQCEXA24TC0moDlrK6gWMpL1n9nerY+rG15OpHgFqdgKVxYCkrtv7OL8YBtnmeX94mFP66lZoRQAABBBBAAAEEEEAgFAEmFKH0BDkQQAABBBBAAAEEEDAowITCYKcRGQEEEEAAAQQQQACBUARY5SmUniAHAgggUINA3IobNVTlfRdLWb1j0AACCCBgUCDuOs4dCoOdSWQEEEAAAQQQQAABBEIR8DahsLTagKWsbuBYyktWf6c6tn5sLbn6EaBWJ2BpHFjKiq2/84txgG2e55e3CYW/bqVmBBBAAAEEEEAAAQQQCEWACUUoPUEOBBBAAAEEEEAAAQQMCjChMNhpREYAAQQQQAABBBBAIBQBVnkKpSfIgQACCNQgELfiRg1Ved/FUlbvGDSAAAIIGBSIu45zh8JgZxIZAQQQQAABBBBAAIFQBJhQhNIT5EAAAQQQQAABBBBAwKCAtwmFpeXLLGV1Y8xSXrL6uypg68fWkqsfAWp1ApbGgaWs2Po7vxgH2OZ5fnl7hmL8wO7q6ir18vhtbkPW26Mgs24j6TH4OL6kbZePGQ8nMPIqm6Q1zKq8S5FVXfXW47Lk5ZFn2+Vjbra+6O7uVqFQqLlPG+lRmbWRbbu23Ks8DirPo8k+i9sn6+0uQ2WurNuIqz/PtisztXpfhORBX6x3BBNejTon6xkH5YwTgmf0S9wzFCqOvqSxt+VNdf0sFAp17d/InS1ldS6W8pLV30jG1o+tJVcnkPW124/qSK2WsloaB5ayupFgKS9Z/V0RsPVj69s17jru7StPGU2EqAYBBAg3YSIAACAASURBVBBAAAEEEEAAAQQCFvD2laeAj5loCCCAQNMIxN5+DvAILWUNkI9ICCCAQO4Ccddx7lDk3jUEQAABBBBAAAEEEEDAroC3CUXUwyShMlnK6gwt5SWrv1GPrR9bS65+BKjVCVgaB5ayYuvv/GIcYJvn+eVtQuGvW6kZAQQQQAABBBBAAAEEQhFgQhFKT5ADAQQQQAABBBBAAAGDAkwoDHYakRFAAAEEEEAAAQQQCEWAVZ5C6QlyIIAAAjUIxK24UUNV3nexlNU7Bg0ggAACBgXiruPcoTDYmURGAAEEEEAAAQQQQCAUAW8TCkurDVjK6gaOpbxk9XeqY+vH1pKrHwFqdQKWxoGlrNj6O78YB9jmeX55m1D461ZqRgABBBBAAAEEEEAAgVAEmFCE0hPkQAABBBBAAAEEEEDAoAATCoOdRmQEEEAAAQQQQAABBEIRYJWnUHqCHAgggEANAnErbtRQlfddLGX1jkEDCCCAgEGBuOs4dygMdiaREUAAAQQQQAABBBAIRcDbhMLSagOWsrqBYykvWf2d6tj6sbXk6keAWp2ApXFgKSu2/s4vxgG2eZ5f3iYU/rqVmhFAAAEEEEAAAQQQQCAUASYUofQEORBAAAEEEEAAAQQQMCjAhMJgpxEZAQQQQAABBBBAAIFQBFjlKZSeIAcCCCBQg0Dcihs1VOV9F0tZvWPQAAIIIGBQIO46zh0Kg51JZAQQQAABBBBAAAEEQhHwNqGwtNqApaxu4FjKS1Z/pzq2fmwtufoRoFYnYGkcWMqKrb/zi3GAbZ7nl7cJhb9upWYEEEAAAQQQQAABBBAIRYAJRSg9QQ4EEEAAAQQQQAABBAwKMKEw2GlERgABBBBAAAEEEEAgFAFWeQqlJ8iBAAII1CAQt+JGDVV538VSVu8YNIAAAggYFIi7jnOHwmBnEhkBBBBAAAEEEEAAgVAEvE0oLK02YCmrGziW8pLV36mOrR9bS65+BKjVCVgaB5ayYuvv/GIcYJvn+eVtQuGvW6kZAQQQQAABBBBAAAEEQhFgQhFKT5ADAQQQQAABBBBAAAGDAkFOKIYHerWg7SL1DrwbT7q3Xz0dbero6dfe+FLpP9k3oKfX3aKHJms7fa3sgQACCCCAAAIIIIBAUwoEOaFIJD19rtYMFjW4Zq6mJ9ohSaFh7d3+oBZf//c6kKQ4ZRBAAAEEEEAAAQQQaHGBIJeNdXcoFs54ShfvflhLOo9oYBcNa2//TTpt3kta1fC2G3iYNIUAAk0jELeEX4gHaClriH5kQgABBPIWiLuO53CHYlj7BvrV27NALlRbW4fm9PSqf6Dyi0v/rDde/DutWzxzpFzHYq17ekD7ypJRX3kaHtLOh3o0p1Rvm9rm9Ki3f9w+pX33a2jnBvXM6aiotzyZ+KKG9JiWzjgy+69TlbPzEwEEEEAAAQQQQACBJhHwNqGIXr5sWPt2bdBVs6/Rs8d/XoMHiioe2Kk1xz+rS2Z8Qut2vjmOdZOuX/64pl61RQeKB/T2to/rl6v/ROev235wUjGutIZ/rr4r5uv8/n+lNYO/UdHtU3i/nr3kz3VN3881XCq7X6/2XatZZz4iXd2vt12Z/rn61oVzdE3fLzRt7irt2nqD2nWhHtj9TsZfpxoftr730bb11elrb7L6kmVZS1+ylsasLwPq5fzyOQYsnWNk9TcSsPVjm5ertwlFNNMb2v5/362nF35Bq685R+2u9SntOvszf6tHVrym61f2aWDkT/6SPqAl9/yNrjm7XVM0RdM6L9CNn7tIu2/fpO17xwqNNjOsvdvu1fLe07XqxqU6u/1wV7GmnXap7n7kfD25/F5tc/sMv6zN9/ZJK3p046LTNK1U5k/14Q8dpt57t+qlymqjD4KtCCCAAAIIIIAAAgggMCrQ2AnF3n/Q5g2DmnnO+0cmE2PdME0nzjhFeuEl7dlX/lP96TrnA7+vgwGnaNqJp2rm0BZt3vHG2J4jb97Qjs1bNNR+qk4+3k0myq+J+wy/9D/16BZp5owOTSsX0bGa8R9vUHHzEnUebGzsU94ggAACCCCAAAIIIIBAvMBh8R9l/8nwa6/o+aFJ6h16Sa+8tn+SAlU+Gvqi5h39xYhCs3RGxFY2IYAAAggggAACCCCAQH0C3v5Ovqur65BkU44/WWe0H7L54IZD7jAc/CjRu/kPaLd7LqNY+d8OrZl7bGwVUVljCwfwgaW8ZPU3YLD1Y2vJ1Y8AtToBS+PAUlZs/Z1fjANs8zy/vE0oIrt1+r/Vgks79MJzP9VQ+ZtNpYL7tGf3y9LMU3XitHKkl7V7z9iaTpKGtW/PS3qhfb4WnHlMRfXH6MwF89X+wo/14tD4OxzD2rfzDs0Z/Ufyppz6R7p4vvTC7sFxD3a/q4Hei9RW7R/Sq2iRXxFAAAEEEEAAAQQQQMA9uezpFf2U+TE6+6+u1kef/GutvPO50UnFXu3q7dEla4/XbasXjXuOYafW3ny7+krLyY6sDnX1JU9o4T3LNHt6Zewpmj57me5Z+KyWr7xf20uTCrc87SbdfN2Xpduu00Xu37OYcooW9izTjLVrdGv/q6WVn4aHvqdr1mzT7FKZ94w8p1EyGdav9/16dHUoT0g1VhttW2Nlnncjqz9gbP3YWnL1I0CtTsDSOLCUFVt/5xfjANs8zy9v/7Dd+IFdvg03sq2o3/zjgHY+t0UbtvxUUrs6539Ef3LOBzXj90b+Ebsr5x6uhTOe0LRlvy89/4T6fjgoHf0h3fbYw+r6aKceWb9eene3/vt//ZJ++KFP639tvmPkX8veN6DP/Jer9XcbtmjAqbp9er+s/3zBLD1+3/rRkfZbvfW/duqNH2zW2m3ugY73a/7i8zX3Qyfr6Dap68rz1X/TEs374hbp/ZfqC8v/SL/nto9+hWv8cbkK47ZP9lncPllvdxmS5s267cp28/TIs+2yK33hBEZeZZPKMdKo7S5FXm1Xtuuy1Hvc3d3dKhQKNdfTSI/KrI1s27XlXnHek30Wt0/W212GyjGSdRtx9efZdmWmVu+LkDzoi/KfHZ3EyKtR52Q946CcsZw5y59x/7Cde96g9JLG3pY31fVz9erVde1fdee3thZXtLcX5z/ws+KBqoUnL1AoFCYvENinlvKS1d/gwdaPrSVXJ5D1tduP6kitlrJaGgeWsrqRYCkvWf1dEbD1Y+vbNe46XvndoUwmMXv27NHKlSu1ZcuWTOqLr6RDZ5x8rL/vbcU3zCcIIIAAAggggAACCCAgyctXnq644gp99atf1VlnnaVnn31WRx55ZIbYr6u/52Oat3an2i97UP1fvlSnjT3InWEzVIUAAggYEIi9/RxgdktZA+QjEgIIIJC7QNx1PPM7FH19fWMHe9lll+mOO+4Y+z2bN8dq7podpaVhBx9azGQiG1RqQQABBBBAAAEEEECgJoFMJxRvvPGGbr31Vl1//fWlMEuXLtWmTZv0/PPP1xSuUTtFPfjSqLZracdSXrLW0sPJ9sE2mVPaUpZc0x4b5ZMLWBoHlrK6HrCUl6zJz5m0JbFNK5asfF6umU4o3GRi+fLl6uzsLB21+6rTfffdpyuvvFLvvPNOMglKIYAAAggggAACCCCAgBmBzCYUAwMDcv9deOGFEw7+jDPO0OzZs/W9731vwnZ+QQABBBBAAAEEEEAAAfsCh2V1CCeddJK+/vWvRz6AvXbtWrmvQ/FCAAEEEEAAAQQQQACB5hLwssqTI4p7Cry5+DgaBBBAIF8BS9daS1nz7VVaRwABBMIUiLuOZ/aVpzAPm1QIIIAAAggggAACCCDgU4AJhbEVJ9xgyOsJ/loGIllrUUu2D7bJnNKWsuSa9tgon1zA0jiwlNX1gKW8ZE1+zqQtiW1asWTl83JlQpGsfyiFAAIIIIAAAggggAACEQJMKCJQ2IQAAggggAACCCCAAALJBJhQJHOiFAIIIIAAAggggAACCEQIsMpTBAqbEEAAASsCcStuhJjfUtYQ/ciEAAII5C0Qdx3nDkXePUP7CCCAAAIIIIAAAggYFmBCYWzFCTfW8nqCv5ZxTtZa1JLtg20yp7SlLLmmPTbKJxewNA4sZXU9YCkvWZOfM2lLYptWLFn5vFyZUCTrH0ohgAACCCCAAAIIIIBAhAATiggUNiGAAAIIIIAAAggggEAyASYUyZwohQACCCCAAAIIIIAAAhECTCgiUNiEAAIIIIAAAggggAACyQRYNjaZE6UQQACBIAXilvALMaylrCH6kQkBBBDIWyDuOs4dirx7hvYRQAABBBBAAAEEEDAswITC2BJ2bqzltSRYLeOcrLWoJdsH22ROaUtZck17bJRPLmBpHFjK6nrAUl6yJj9n0pbENq1YsvJ5uTKhSNY/lEIAAQQQQAABBBBAAIEIASYUEShsQgABBBBAAAEEEEAAgWQCTCiSOVEKAQQQQAABBBBAAAEEIgRY5SkChU0IIICAFYG4FTdCzG8pa4h+ZEIAAQTyFoi7jnOHIu+eoX0EEEAAAQQQQAABBAwLMKEwtuKEG2t5PcFfyzgnay1qyfbBNplT2lKWXNMeG+WTC1gaB5ayuh6wlJesyc+ZtCWxTSuWrHxerkwokvUPpRBAAAEEEEAAAQQQQCBCgAlFBAqbEEAAAQQQQAABBBBAIJkAE4pkTpRCAAEEEEAAAQQQQACBCAFWeYpAYRMCCCBgRSBuxY0Q81vKGqIfmRBAAIG8BeKu49yhyLtnaB8BBBBAAAEEEEAAAcMCTCiMrTjhxlpeT/DXMs7JWotasn2wTeaUtpQl17THRvnkApbGgaWsrgcs5SVr8nMmbUls04olK5+XKxOKZP1DKQQQQAABBBBAAAEEEIgQYEIRgcImBBBAAAEEEEAAAQQQSCbAhCKZE6UQQAABBBBAAAEEEEAgQoBVniJQ2IQAAghYEYhbcSPE/JayhuhHJgQQQCBvgbjrOHco8u4Z2kcAAQQQQAABBBBAwLAAEwpjK064sZbXE/y1jHOy1qKWbB9skzmlLWXJNe2xUT65gKVxYCmr6wFLecma/JxJWxLbtGLJyuflyoQiWf9QCgEEEEAAAQQQQAABBCIEvD5DUSgUSk12dXWVflbOmrLe7hrx3UbS+l2WrI8vadvldvEoDbvS/5RN0hpmVZ6+oC+ixoDbVu/Y7O7ulrvW1lpPVK5a66p2vlRmbWTbri33iju2yT6L2yfr7S5DNcPSQUxyHLVmyrPtymNu9b4IyYO+WF8+5cZ+1nqOVfZr2nrS9EW57rHQGb6Je4ZCxdGXNPa2vKmun1nXV1eYKjsXCoUqJcL62FJesvobO9j6sbXk6gQsXWstZbU0DixldWPWUl6y+rnOMg7susZdx73eoRj5/7oMp0VUhQACCCAwQSD2b4smlArjF0tZwxAjBQIIIBCWQNx1nGcowuon0iCAAAIIIIAAAgggYEqACUXEd1ZD78HK7+GFnJes/noHWz+2llz9CFCrE7A0Dixlxdbf+cU4wDbP84sJhb/xR80IIIAAAggggAACCDS9ABOKpu9iDhABBBBAAAEEEEAAAX8CTCj82VIzAggggAACCCCAAAJNL8AqT03fxRwgAgg0s0DcihshHrOlrCH6kQkBBBDIWyDuOs4dirx7hvYRQAABBBBAAAEEEDAswITCcOcRHQEEEEAAAQQQQACBvAWYUBhbHtANGEtLw5HV3ymOrR9bS65+BKjVCVgaB5ayYuvv/GIcYJvn+cWEwt/4o2YEEEAAAQQQQAABBJpegAlF03cxB4gAAggggAACCCCAgD8BJhT+bKkZAQQQQAABBBBAAIGmF2DZ2KbvYg4QAQSaWSBuCb8Qj9lS1hD9yIQAAgjkLRB3HecORd49Q/sIIIAAAggggAACCBgWYEJhbDUPN9YsreRAVn9XB2z92Fpy9SNArU7A0jiwlBVbf+cX4wDbPM8vJhT+xh81I4AAAggggAACCCDQ9AJMKJq+izlABBBAAAEEEEAAAQT8CTCh8GdLzQgggAACCCCAAAIINL0Aqzw1fRdzgAgg0MwCcStuhHjMlrKG6EcmBBBAIG+BuOs4dyjy7hnaRwABBBBAAAEEEEDAsAATCmOrebixZmklB7L6uzpg68fWkqsfAWp1ApbGgaWs2Po7vxgH2OZ5fjGh8Df+qBkBBBBAAAEEEEAAgaYXYELR9F3MASKAAAIIIIAAAggg4E+ACYU/W2pGAAEEEEAAAQQQQKDpBVjlqem7mANEAIFmFohbcSPEY7aUNUQ/MiGAAAJ5C8Rdx7lDkXfP0D4CCCCAAAIIIIAAAoYFmFAYW83DjTVLKzmQ1d/VAVs/tpZc/QhQqxOwNA4sZcXW3/nFOMA2z/OLCYW/8UfNCCCAAAIIIIAAAgg0vQATiqbvYg4QAQQQQAABBBBAAAF/Akwo/NlSMwIIIIAAAggggAACTS/AKk9N38UcIAIINLNA3IobIR6zpawh+pEJAQQQyFsg7jrOHYq8e4b2EUAAAQQQQAABBBAwLMCEwthqHm6sWVrJgaz+rg7Y+rG15OpHgFqdgKVxYCkrtv7OL8YBtnmeX0wo/I0/akYAAQQQQAABBBBAoOkFmFA0fRdzgAgggAACCCCAAAII+BNgQuHPlpoRQAABBBBAAAEEEGh6AVZ5avou5gARQKCZBeJW3AjxmC1lDdGPTAgggEDeAnHXce5Q5N0ztI8AAggggAACCCCAgGEBJhTGVvNwY83SSg5k9Xd1wNaPrSVXPwLU6gQsjQNLWbH1d34xDrDN8/xiQuFv/FEzAggggAACCCCAAAJNL+D1GYpCoVAC7OrqKv2snD1nvd014ruNpPW7LFkfX9K2y+3iURp2pf8pm6Q1zKo8fUFfRI0Bt63esdnd3S13ra21nqhctdZV7XypzNrItl1b7hV3bJN9FrdP1ttdhmqGpYOY5DhqzZRn25XH3Op9EZIHfbG+fMqN/az1HKvs17T1pOmLct1joTN8E/cMhYqjL2nsbXlTXT+zrq+uMFV2LhQKVUqE9bGlvGT1N3aw9WNrydUJWLrWWspqaRxYyurGrKW8ZPVznWUc2HWNu47zlacMZ21UhQACCCCAAAIIIIBAqwl4/crTyF+etRopx4sAAgg0TiD29nPjIiRuyVLWxAdFQQQQQKCFBOKu49yhaKFBwKEigAACCCCAAAIIIJC1ABOKiIfgskbOur7KB3uyrj/L+siapebEurCd6JHVb5Zcszpm6jlUwNI4sJTVSVvKS9ZDz42stmCbleTEevJyZUIxsR/4DQEEEEAAAQQQQAABBFIIMKFIgUVRBBBAAAEEEEAAAQQQmCjAhGKiB78hgAACCCCAAAIIIIBACgFWeUqBRVEEEEAgNIG4FTdCy+nyWMoaoh+ZEEAAgbwF4q7j3KHIu2doHwEEEEAAAQQQQAABwwJMKIytOOHGWl5P8Ncyzslai1qyfbBN5pS2lCXXtMdG+eQClsaBpayuByzlJWvycyZtSWzTiiUrn5crE4pk/UMpBBBAAAEEEEAAAQQQiBBgQhGBwiYEEEAAAQQQQAABBBBIJsCEIpkTpRBAAAEEEEAAAQQQQCBCgFWeIlDYhAACCFgRiFtxI8T8lrKG6EcmBBBAIG+BuOs4dyjy7hnaRwABBBBAAAEEEEDAsAATCmMrTrixltcT/LWMc7LWopZsH2yTOaUtZck17bFRPrmApXFgKavrAUt5yZr8nElbEtu0YsnK5+XKhCJZ/1AKAQQQQAABBBBAAAEEIgSYUESgsAkBBBBAAAEEEEAAAQSSCTChSOZEKQQQQAABBBBAAAEEEIgQYJWnCBQ2IYAAAlYE4lbcCDG/pawh+pEJAQQQyFsg7jrOHYq8e4b2EUAAAQQQQAABBBAwLMCEwtiKE26s5fUEfy3jnKy1qCXbB9tkTmlLWXJNe2yUTy5gaRxYyup6wFJesiY/Z9KWxDatWLLyebkyoUjWP5RCAAEEEEAAAQQQQACBCAEmFBEobEIAAQQQQAABBBBAAIFkAkwokjlRCgEEEEAAAQQQQAABBCIEWOUpAoVNCCCAgBWBuBU3QsxvKWuIfmRCAAEE8haIu45zhyLvnqF9BBBAAAEEEEAAAQQMCzChMLbihBtreT3BX8s4J2stasn2wTaZU9pSllzTHhvlkwtYGgeWsroesJSXrMnPmbQlsU0rlqx8Xq5MKJL1D6UQQAABBBBAAAEEEEAgQoAJRQQKmxBAAAEEEEAAAQQQQCCZABOKZE6UQgABBBBAAAEEEEAAgQgBVnmKQGETAgggYEUgbsWNEPNbyhqiH5kQQACBvAXiruPcoci7Z2gfAQQQQAABBBBAAAHDAkwoDHce0RFAAAEEEEAAAQQQyFuACYWxJezcgMlrSbBaBitZa1FLtg+2yZzSlrLkmvbYKJ9cwNI4sJTV9YClvGRNfs6kLYltWrFk5fNyZUKRrH8ohQACCCCAAAIIIIAAAhECTCgiUNiEAAIIIIAAAggggAACyQSYUCRzohQCCCCAAAIIIIAAAghECLBsbAQKmxBAAAErAnFL+IWY31LWEP3IhAACCOQtEHcd5w5F3j1D+wgggAACCCCAAAIIGBZgQmFsxQk31vJ6gr+WcU7WWtSS7YNtMqe0pSy5pj02yicXsDQOLGV1PWApL1mTnzNpS2KbVixZ+bxcvX7lqVAolI6+q6ur9LPyILPe7hrx3UbS+l2WrI8vadvldvEoDbvS/5RN0hpmVZ6+oC+ixoDbVu/Y7O7ulrvW1lpPVK5a66p2vlRmbWTbri33iju2yT6L2yfr7S5DNcPSQUxyHLVmyrPtymNu9b4IyYO+WF8+5cZ+1nqOVfZr2nrS9EW57rHQGb6J+8qTiqMvaexteVNdP7Our64wVXYuFApVSoT1saW8ZPU3drD1Y2vJ1QlYutZaymppHFjK6saspbxk9XOdZRzYdY27jvOVpwxnbVSFAAIIIIAAAggggECrCXj9ytPIX561GinHiwACCDROIPb2c+MiJG7JUtbEB0VBBBBAoIUE4q7j3KFooUHAoSKAAAIIIIAAAgggkLUAE4qIh+CyRs66vsoHe7KuP8v6yJql5sS6sJ3okdVvllyzOmbqOVTA0jiwlNVJW8pL1kPPjay2YJuV5MR68nJlQjGxH/gNAQQQQAABBBBAAAEEUggwoUiBRVEEEEAAAQQQQAABBBCYKMCEYqIHvyGAAAIIIIAAAggggEAKAVZ5SoFFUQQQQCA0gbgVN0LL6fJYyhqiH5kQQACBvAXiruPcoci7Z2gfAQQQQAABBBBAAAHDAkwojK044cZaXk/w1zLOyVqLWrJ9sE3mlLaUJde0x0b55AKWxoGlrK4HLOUla/JzJm1JbNOKJSuflysTimT9QykEEEAAAQQQQAABBBCIEGBCEYHCJgQQQAABBBBAAAEEEEgmwIQimROlEEAAAQQQQAABBBBAIEKAVZ4iUNiEAAIIWBGIW3EjxPyWsoboRyYEEEAgb4G46zh3KPLuGdpHAAEEEEAAAQQQQMCwABMKYytOuLGW1xP8tYxzstailmwfbJM5pS1lyTXtsVE+uYClcWApq+sBS3nJmvycSVsS27Riycrn5cqEIln/UAoBBBBAAAEEEEAAAQQiBJhQRKCwCQEEEEAAAQQQQAABBJIJMKFI5kQpBBBAAAEEEEAAAQQQiBBglacIFDYhgAACVgTiVtwIMb+lrCH6kQkBBBDIWyDuOs4dirx7hvYRQAABBBBAAAEEEDAswITCcOcRHQEEEEAAAQQQQACBvAWYUBhbws4NmLyWBKtlsJK1FrVk+2CbzCltKUuuaY+N8skFLI0DS1ldD1jKS9bk50zaktimFUtWPi9XJhTJ+odSCCCAAAIIIIAAAgggECHAhCIChU0IIIAAAggggAACCCCQTIAJRTInSiGAAAIIIIAAAggggECEAMvGRqCwCQEEELAiELeEX4j5LWUN0Y9MCCCAQN4Ccddx7lDk3TO0jwACCCCAAAIIIICAYQEmFMZWnHBjLa8n+GsZ52StRS3ZPtgmc0pbypJr2mOjfHIBS+PAUlbXA5bykjX5OZO2JLZpxZKVz8uVCUWy/qEUAggggAACCCCAAAIIRAgwoYhAYRMCCCCAAAIIIIAAAggkE2BCkcyJUggggAACCCCAAAIIIBAhwCpPEShsQgABBKwIxK24EWJ+S1lD9CMTAgggkLdA3HWcOxR59wztI4AAAggggAACCCBgWIAJhbEVJ9xYy+sJ/lrGOVlrUUu2D7bJnNKWsuSa9tgon1zA0jiwlNX1gKW8ZE1+zqQtiW1asWTl83JlQpGsfyiFAAIIIIAAAggggAACEQJMKCJQ2IQAAggggAACCCCAAALJBJhQJHOiFAIIIIAAAggggAACCEQIsMpTBAqbEEAAASsCcStuhJjfUtYQ/ciEAAII5C0Qdx3nDkXePUP7CNQg8M477+iNN96oYU92QQCBZhNw1wKuB83WqxwPArYEmFAYW3HCDa+8nuCvZWiTtRa1yfd57rnn9J73vEfve9/7tGLFiskLB/Ip4yCQjiBGYgErY/aee+4pXQvc9cC9t/CyYussyepvRGHrxzYvVyYUfvqTWhHwIuDuTJx77rljdd92221yEwxeCCDQegJ79uzR1VdfPXbg7r3bxgsBBBBotIDXZygafTC0hwACCCCAAAIIIIBAKwsUi0Vvh9/wZygKhYLcAVn4z1JW52kpL1mzPweuv/76sQvFWWedpV/96lfBn2eMg+zHQfna6gZD+X3oPy1ltTJmP/nJT45dD9z70MeAy2fFlqz+rlvY+rMduyA0+I23OxQNPg6aQ6ClBNzXnP7pn/5JZ555po455piWOnYOdqJA3N8WTSwVxm+WsoYhVj2F+xrkj3/841LBD37wgzryyCOr70QJBBBoWgHf19m4+plQNO2Q4sAQQKAVBOIu7iEeu6WsIfqRCQEEEKgm4Ps6G1e/t4ey83rKg7Og1wAAIABJREFUvBp01OeWsrr8lvKSNWrEZbMN22wcK2ux5FqZnd+zE7A0DixldT1kKS9ZszunKmvCtlLE9u/eJhS2WUiPAAIIIIAAAggggAACSQSYUCRRogwCCCCAAAIIIIAAAghECjChiGRhIwIIIIAAAggggAACCCQR4KHsJEqUQQABBAIViHtALsS4lrKG6EcmBBBAoJqA7+tsXP3coajWM3yOQO4Cw9rbv1IdbW1yJ3Lkfx0r1b93OPekBEAAgUYIvK7+njOjrwWj14iOnn7tbUQU2kAAAQQkeZtQ8PS+v/GFrR/b8F1nacXWX479w1UT/nGowdWaO93b6Vw3ePi2Bw/RUtaDqXmXtYCJcdB+g7a+dSDyH4obXDNX07NGyag+E7ajx0rWjDo9ohpsI1AMbwr3TyCGUYmOAAIIIIAAAggggECrCDChaJWe5jgRQAABBBBAAAEEEPAgwITCAypVIoAAAggggAACCCDQKgJMKFqlpznOJhDYqbXzjht7ELO7u3vkPQ9kN0HfcggI1CAw9EXNO3qqxq4FPJBdAyK7IIBAFgIsG5uFInUg4FXArfJ0k06bt0WXbn1Ka+Ye67U1KrclELeEX4hHYSlriH4HM7lVnj6meRvma+uuVUEvyHAwM+8QQKARAr6vs3H1c4eiEb1LGwgggAACCCCAAAIINKmAtwkFy4H5GzHY+rG15OoELOUlq58xS63+BBiz2DoBxgHjwNo48Ndjk9fsbUIxebN8igACCCCAAAIIIIAAAs0gwISiGXqRY0AAAQQQQAABBBBAICcBJhQ5wdMsAt4Ehl9V/8r/qMV9v/DWBBUjgIAdgeGhp7VyznL1Df3WTmiSIoCAKQFWeTLVXYRFYHKB4aHt2vClz+nytf+vLtv4HT206KTJd+BT8wJxK26EeGCWsobolz7Tfg3tfFRfuq5Ha7f9X9o4eI8WtR+Wvhr2QAABMwK+r7Nx9XOHwswQISgCSQSm6n0X3a0f3nZaksKUQQCBphc4QRc9/Jhu+9dNf6AcIAII5CjgbULBygj+ehVbP7aWXJ1AVN4p7bP0Z7M6NNUPUc21RmWtuTLPO1rK6pmipau3NA7isx6u9llzNav9iKD6Mj5vUDFLYcjqr0+w9WebR83eJhR5HAxtIoAAAggggAACCCCAQGMFmFA01pvWEEAAAQQQQAABBBBoKgEmFE3VnRwMAggggAACCCCAAAKNFWCVp8Z60xoCCCCQqUDcihuZNpJRZZayZnTIVIMAAgg0VMD3dTaufu5QNLSbaQwBBBBAAAEEEEAAgeYS8Dah4Ol9fwMFWz+2llydgKW8ZPUzZqnVnwBjFlsnwDhgHFgbB/56bPKavU0oJm+WTxFAAAEEEEAAAQQQQKAZBJhQNEMvcgwIIIAAAggggAACCOQkwIQiJ3iaRQABBBBAAAEEEECgGQRY5akZepFjQACBlhWIW3EjRBBLWUP0IxMCCCBQTcD3dTaufu5QVOsZPkcAAQQQQAABBBBAAIFYAW8TClZGiDWv+wNs6yaMrMCSqzsAS3nJGjnk2BiwAGPWX+dg68fWkqsTsJTXUlY/o6t6rd4mFNWbpgQCCCCAAAIIIIAAAghYF2BCYb0HyY8AAggggAACCCCAQI4CTChyxKdpBBBAAAEEEEAAAQSsC7DKk/UeJD8CCLS0QNyKGyGiWMoaoh+ZEEAAgWoCvq+zcfVzh6Jaz/A5AggggAACCCCAAAIIxAp4m1BYeiLeUlbXk5bykjX23Kv7A2zrJoyswJJr5AGwMRMBS+PAUlbXOZbykjWT0ymyEmwjWcxu9DahMCtCcAQQQAABBBBAAAEEEEgs4O0ZivEzz66urlKg8dvchqy3uzp9t5G0fh/Hl7TtsiseTmDkVTZJa5hVeZciq7rqrcdlycsjz7bLx9xsfdHd3a1CoVBznzbSozJrI9t2bblXeRxUnkeTfRa3T9bbXYbKXFm3EVd/nm1XZmr1vgjJg75Y7wgmvBp1TtY6Dtx1tlgsTsic5S9xz1C4RksvaexteVNdPwuFQl37N3JnS1mdi6W8ZPU3krH1Y2vJ1Qlkfe32ozpSq6WslsaBpaxuJFjKS1Z/VwRs/dj6vs7G1e/tDkWWsyHqQgABBBCIFoj926Lo4rlutZQ1VygaRwABBGoU8H2djaufZyhq7DB2QwABBBBAAAEEEEAAAYkJBaMAAQQQQAABBBBAAAEEahbwNqGIepik5pSed7SU1VFYyktWf4MXWz+2llz9CFCrE7A0Dixlxdbf+cU4wNafQPWavU0oqjdNCQQQQAABBBBAAAEEELAuwITCeg+SHwEEEEAAAQQQQACBHAWYUOSIT9MIIIAAAggggAACCFgXYNlY6z1IfgQQaGmBuCX8QkSxlDVEPzIhgAAC1QR8X2fj6ucORbWe4XMEEEAAAQQQQAABBBCIFfA2obC02oClrK4nLeUla+y5V/cH2NZNGFmBJdfIA2BjJgKWxoGlrK5zLOUlayanU2Ql2EaymN3obUJhVoTgCCCAAAIIIIAAAgggkFiACUViKgoigAACCCCAAAIIIIBApQATikoRfkcAAQQQQAABBBBAAIHEAqzylJiKgggggEB4AnErboSXVLKUNUQ/MiGAAALVBHxfZ+Pq5w5FtZ7hcwQQQAABBBBAAAEEEIgV8Dah4On9WPO6P8C2bsLICiy5ugOwlJeskUOOjQELMGb9dQ62fmwtuToBS3ktZfUzuqrX6m1CUb1pSiCAAAIIIIAAAggggIB1ASYU1nuQ/AgggAACCCCAAAII5CjAhCJHfJpGAAEEEEAAAQQQQMC6AKs8We9B8iOAQEsLxK24ESKKpawh+pEJAQQQqCbg+zobVz93KKr1DJ8jgAACCCCAAAIIIIBArIC3CYWlJ+ItZXU9aSkvWWPPvbo/wLZuwsgKLLlGHgAbMxGwNA4sZXWdYykvWTM5nSIrwTaSxexGbxMKsyIERwABBBBAAAEEEEAAgcQCTCgSU1EQAQQQQAABBBBAAAEEKgWYUFSK8DsCCCCAAAIIIIAAAggkFmCVp8RUFEQAAQTCE4hbcSO8pJKlrCH6kQkBBBCoJuD7OhtXP3coqvUMnyOAAAIIIIAAAggggECsgLcJBU/vx5rX/QG2dRNGVmDJ1R2ApbxkjRxybAxYgDHrr3Ow9WNrydUJWMprKauf0VW9Vm8TiupNUwIBBBBAAAEEEEAAAQSsCzChsN6D5EcAAQQQQAABBBBAIEcBJhQ54tM0AggggAACCCCAAALWBVjlyXoPkh8BBFpaIG7FjRBRLGUN0Y9MCCCAQDUB39fZuPq5Q1GtZ/gcAQQQQAABBBBAAAEEYgWYUMTS8AECCCCAAAIIIIAAAghUE/A2obC0xJalrK5DLeUla7VTsPbPsa3dbrI9LblOdhx8Vp+ApXFgKavrFUt5yVrfeTTZ3thOpmPvM28TCnsUJEYAAQQQQAABBBBAAIG0Akwo0opRHgEEEEAAAQQQQAABBMYEmFCMUfAGAQQQQAABBBBAAAEE0gqwbGxaMcojgAACAQnELeEXUMSxKJayjoXmDQIIIGBIwPd1Nq5+7lAYGiRERQABBBBAAAEEEEAgNAFvEwqe3vfX1dj6sbXk6gQs5SWrnzFLrf4EGLPYOgHGAePA2jjw12OT1+ztK0/jT8Kurq5SivHb3Iast7s6fbeRtH4fx5e07bIrHk5g5FU2SWuYVXmXIqu66q3HZcnLI8+2y8fcbH3R3d2tQqFQc5820qMyayPbdm25V3kcVJ5Hk30Wt0/W212GylxZtxFXf55tV2Zq9b4IyYO+WO8IJrwadU7WOg7cdbZYLE7InOUvcV95co2WXtLY2/Kmun4WCoW69m/kzpayOhdLecnqbyRj68fWkqsTyPra7Ud1pFZLWS2NA0tZ3UiwlJes/q4I2Pqx9X2djavf21eespwNURcCCCCAAAIIIIAAAgiEKeDtK09hHi6pEEAAgeYSiL39HOBhWsoaIB+REEAAgaoCvq+zcfVzh6Jq11AAAQQQQAABBBBAAAEE4gS8TSiiHiaJC5H3dktZnZWlvGT1N7qx9WNrydWPALU6AUvjwFJWbP2dX4wDbP0JVK/Z24SietOUQAABBBBAAAEEEEAAAesCTCis9yD5EUAAAQQQQAABBBDIUYAJRY74NI0AAggggAACCCCAgHUBVnmy3oPkRwCBlhaIW3EjRBRLWUP0IxMCCCBQTcD3dTaufu5QVOsZPkcAAQQQQAABBBBAAIFYAW8TCkurDVjK6nrSUl6yxp57dX+Abd2EkRVYco08ADZmImBpHFjK6jrHUl6yZnI6RVaCbSSL2Y3eJhRmRQiOAAIIIIAAAggggAACiQWYUCSmoiACCCCAAAIIIIAAAghUCjChqBThdwQQQAABBBBAAAEEEEgswCpPiakoiAACCIQnELfiRnhJJUtZQ/QjEwIIIFBNwPd1Nq5+7lBU6xk+RwABBBBAAAEEEEAAgVgBbxMKnt6PNa/7A2zrJoyswJKrOwBLeckaOeTYGLAAY9Zf52Drx9aSqxOwlNdSVj+jq3qt3iYU1ZumBAIIIIAAAggggAACCFgXYEJhvQfJjwACCCCAAAIIIIBAjgJMKHLEp2kEEEAAAQQQQAABBKwLsMqT9R4kPwIItLRA3IobIaJYyhqiH5kQQACBagK+r7Nx9XOHolrP8DkCCCCAAAIIIIAAAgjECnibUFh6It5SVteTlvKSNfbcq/sDbOsmjKzAkmvkAbAxEwFL48BSVtc5lvKSNZPTKbISbCNZzG70NqEwK0JwBBBAAAEEEEAAAQQQSCzAhCIxFQURQAABBBBAAAEEEECgUoAJRaUIvyOAAAIIIIAAAggggEBiASYUiakoiAACCCCAAAIIIIAAApUCLBtbKcLvCCCAgCGBuCX8QjwES1lD9CMTAgggUE3A93U2rn7uUFTrGT5HAAEEEEAAAQQQQACBWAFvEwqWA4s1r/sDbOsmjKzAkqs7AEt5yRo55NgYsABj1l/nYOvH1pKrE7CU11JWP6Oreq3eJhTVm6YEAggggAACCCCAAAIIWBdgQmG9B8mPAAIIIIAAAggggECOAkwocsSnaQQQQAABBBBAAAEErAuwypP1HiQ/Agi0tEDcihsholjKGqIfmRBAAIFqAr6vs3H1c4eiWs/wOQIIIIAAAggggAACCMQKeJtQWHoi3lJW15OW8pI19tyr+wNs6yaMrMCSa+QBsDETAUvjwFJW1zmW8pI1k9MpshJsI1nMbvQ2oTArQnAEEEAAAQQQQAABBBBILMCEIjEVBRFAAAEEEEAAAQQQQKBSgAlFpQi/I4AAAggggAACCCCAQGIBVnlKTEVBBBBAIDyBuBU3wksqWcoaoh+ZEEAAgWoCvq+zcfVzh6Jaz/A5AggggAACCCCAAAIIxAp4m1Dw9H6sed0fYFs3YWQFllzdAVjKS9bIIcfGgAUYs/46B1s/tpZcnYClvJay+hld1Wv1NqGo3jQlEEAAAQQQQAABBBBAwLqAt2coxs/murq6Sk7jt7kNWW93dfpuI2n9Po4vadtlVzycwMirbJLWMKvyLkVWddVbj8uSl0eebZePudn6oru7W4VCoeY+baRHZdZGtu3acq/yOKg8jyb7LG6frLe7DJW5sm4jrv48267M1Op9EZIHfbHeEUx4NeqcrHUcuOtssVickDnLX+KeoXCNll7S2Nvyprp+FgqFuvZv5M6WsjoXS3nJ6m8kY+vH1pKrE8j62u1HdaRWS1ktjQNLWd1IsJSXrP6uCNj6sfV9nY2r39sdiixnQ9SFAAIIIBAtEPu3RdHFc91qKWuuUDSOAAII1Cjg+zobVz/PUNTYYeyGAAIIIIAAAggggAACkrcJRdR3v0IFt5TVGVrKS1Z/ox5bP7aWXP0IUKsTsDQOLGXF1t/5xTjA1p9A9Zq9TSiqN00JBBBAAAEEEEAAAQQQsC7AhMJ6D5IfAQQQQAABBBBAAIEcBZhQ5IhP0wgggAACCCCAAAIIWBdglSfrPUh+BBBoaYG4FTdCRLGUNUQ/MiGAAALVBHxfZ+Pq5w5FtZ7hcwQQQAABBBBAAAEEEIgV8DahsLTagKWsrict5SVr7LlX9wfY1k0YWYEl18gDYGMmApbGgaWsrnMs5SVrJqdTZCXYRrKY3ehtQmFWhOAIIIAAAggggAACCCCQWIAJRWIqCiKAAAIIIIAAAggggEClABOKShF+RwABBBBAAAEEEEAAgcQCrPKUmIqCCCCAQHgCcStuhJdUspQ1RD8yIYAAAtUEfF9n4+rnDkW1nuFzBBBAAAEEEEAAAQQQiBVgQhFLwwcIIIAAAggggAACCCBQTcDbhILlwKrR1/45trXbTbanJVd3HJbyknWykcdnIQowZv31CrZ+bC25OgFLeS1l9TO6qtfqbUJRvWlKIIAAAggggAACCCCAgHUBJhTWe5D8CCCAAAIIIIAAAgjkKMCEIkd8mkYAAQQQQAABBBBAwLoAy8Za70HyI4BASwvELeEXIoqlrCH6kQkBBBCoJuD7OhtXP3coqvUMnyOAAAIIIIAAAggggECsgLcJhaUn4i1ldT1pKS9ZY8+9uj/Atm7CyAosuUYeABszEbA0DixldZ1jKS9ZMzmdIivBNpLF7EZvEwqzIgRHAAEEEEAAAQQQQACBxAJMKBJTURABBBBAAAEEEEAAAQQqBZhQVIrwOwIIIIAAAggggAACCCQWYJWnxFQURAABBMITiFtxI7ykkqWsIfqRCQEEEKgm4Ps6G1c/dyiq9QyfI4AAAggggAACCCCAQKyAtwkFT+/Hmtf9AbZ1E0ZWYMnVHYClvGSNHHJsDFiAMeuvc7D1Y2vJ1QlYymspq5/RVb1WbxOK6k1TAgEEEEAAAQQQQAABBKwLMKGw3oPkRwABBBBAAAEEEEAgRwEmFDni0zQCCCCAAAIIIIAAAtYFWOXJeg+SHwEEWlogbsWNEFEsZQ3Rj0wIIIBANQHf19m4+rlDUa1n+BwBBBBAAAEEEEAAAQRiBbxNKCw9EW8pq+tJS3nJGnvu1f0BtnUTRlZgyTXyANiYiYClcWApq+scS3nJmsnpFFkJtpEsZjd6m1CYFSE4AggggAACCCCAAAIIJBZgQpGYioIIIIAAAggggAACCCBQKcCEolKE3xFAAAEEEEAAAQQQQCCxAKs8JaaiIAIIIBCeQNyKG+EllSxlDdGPTAgggEA1Ad/X2bj6uUNRrWf4HAEEEEAAAQQQQAABBGIFvE0oeHo/1rzuD7CtmzCyAkuu7gAs5SVr5JBjY8ACjFl/nYOtH1tLrk7AUl5LWf2Mruq1eptQVG+aEggggAACCCCAAAIIIGBdwNszFONnc11dXSWn8dvchqy3uzp9t5G0fh/Hl7TtsiseTmDkVTZJa5hVeZciq7rqrcdlycsjz7bLx9xsfdHd3a1CoVBznzbSozJrI9t2bblXeRxUnkeTfRa3T9bbXYbKXFm3EVd/nm1XZmr1vgjJg75Y7wgmvBp1TtY6Dtx1tlgsTsic5S9xz1C4RksvaexteVNdPwuFQl37N3JnS1mdi6W8ZPU3krH1Y2vJ1Qlkfe32ozpSq6WslsaBpaxuJFjKS1Z/VwRs/dj6vs7G1e/tDkWWsyHqQgABBBCIFoj926Lo4rlutZQ1VygaRwABBGoU8H2djaufZyhq7DB2QwABBBBAAAEEEEAAAcnbhCLqu1+hglvK6gwt5SWrv1GPrR9bS65+BKjVCVgaB5ayYuvv/GIcYOtPoHrN3iYU1ZumBAIIIIAAAggggAACCFgXYEJhvQfJjwACCCCAAAIIIIBAjgJMKHLEp2kEEEAAAQQQQAABBKwLMKGw3oPkRwABBBBAAAEEEEAgRwGWjc0Rn6YRQACBegXilvCrt14f+1vK6uP4qRMBBBDwLeD7OhtXP3cofPcs9SOAAAIIIIAAAggg0MQC3iYUlpYvs5TVjUVLecnq7+qBrR9bS65+BKjVCVgaB5ayYuvv/GIcYOtPoHrN3iYU1ZumBAIIIIAAAggggAACCFgXYEJhvQfJjwACCCCAAAIIIIBAjgJMKHLEp2kEEEAAAQQQQAABBKwLsMqT9R4kPwIItLRA3IobIaJYyhqiH5kQQACBagK+r7Nx9XOHolrP8DkCCCCAAAIIIIAAAgjECnibUFhabcBSVteTlvKSNfbcq/sDbOsmjKzAkmvkAbAxEwFL48BSVtc5lvKSNZPTKbISbCNZzG70NqEwK0JwBBBAAAEEEEAAAQQQSCzAhCIxFQURQAABBBBAAAEEEECgUoAJRaUIvyOAAAIIIIAAAggggEBiAVZ5SkxFQQQQQCA8gbgVN8JLKlnKGqIfmRBAAIFqAr6vs3H1c4eiWs/wOQIIIIAAAggggAACCMQKeJtQ8PR+rHndH2BbN2FkBZZc3QFYykvWyCHHxoAFGLP+OgdbP7aWXJ2ApbyWsvoZXdVr9TahqN40JRBAAAEEEEAAAQQQQMC6ABMK6z1IfgQQQAABBBBAAAEEchRgQpEjPk0jgAACCCCAAAIIIGBdgFWerPcg+RFAoKUF4lbcCBHFUtYQ/ciEAAIIVBPwfZ2Nq587FNV6hs8RQAABBBBAAAEEEEAgVsDbhMLSE/GWsrqetJSXrLHnXt0fYFs3YWQFllwjD4CNmQhYGgeWsrrOsZSXrJmcTpGVYBvJYnajtwmFWRGCI4AAAggggAACCCCAQGIBJhSJqSiIAAIIIIAAAggggAAClQJMKCpF+B0BBBBAAAEEEEAAAQQSC7DKU2IqCiKAAALhCcStuBFeUslS1hD9yIQAAghUE/B9nY2rnzsU1XqGzxFAAAEEEEAAAQQQQCBWwNuEgqf3Y83r/gDbugkjK7Dk6g7AUl6yRg45NgYswJj11znY+rG15OoELOW1lNXP6Kpeq7cJRfWmKYEAAggggAACCCCAAALWBZhQWO9B8iOAAAIIIIAAAgggkKMAE4oc8WkaAQQQQAABBBBAAAHrAkworPcg+RFAAAEEEEAAAQRaVmDPnj2Rx/7OO+8o7rPIHerYyLKxdeCxKwIIIJC3QNwSfnnnimrfUtao/GxDAAEEQhNwk4bzzjtPjzzyiDo7Oycsz/3www+XJhQrV67MLHbcdZwJRWbEVIQAAgg0XiDu4t74JNVbtJS1+tFQAgEEEAhDYMuWLfrKV76iTZs2jU0o3J2Jk046Sb/61a90zDHHZBY07jru7StPlpbYspTVjQhLecma2Tl8SEXYHkKSyQZLrpkcMJVEClgaB5ayOmxLeckaeXpkshHbTBhLlcyfP1/HHXec+vr6xir9whe+oI0bN2Y6mRirPOKNtzsU4wdKV1dXqenx29yGrLe7On23kbR+H8eXtO2yKx5OYORVNklrmFV5lyKruuqtx2XJyyPPtsvH3Gx90d3drUKhUHOfNtKjMmsj23ZtuVd5HFSeR5N9FrdP1ttdhspcWbcRV3+ebVdmavW+CMmDvljvCCa8GnVOph0H5TsSLqybSDz55JO6//77J2TP4pe4OxQqjr6ksbflTXX9LBQKde3fyJ0tZXUulvKS1d9IxtaPrSVXJ5D1tduP6kitlrJaGgeWsrqRYCkvWf1dEbDN3nbjxo2l/08466yzirt3786+gUn+P8fbV56ymAVRBwIIIIAAAggggAACCFQXWLhwYanQ8uXLSw9oV98juxLevvKUXURqQgABBBCIE4i9/Ry3Q47bLWXNkYmmEUAAgZoF3KpPRx55ZM37V9sx7jrOHYpqcnyOAAIIIIAAAggg4FFgrwb6VmpOW5va2jq04L5v6r4FHero6dfeTFt9VwO9F6ltQa8GhmMqHt6lXi9tx7SX8Wafk4nJonqbUEQ9TDJZkDw/s5TVOVnKS1Z/IxtbP7aWXP0IUKsTsDQOLGXF1t/5ZXkcDA98S1f/+RM6ZeMrOlAc1OYrL9KVmwc1uGaupvsji655ymlaUtG2Jdu8snqbUET3ElsRQAABBBBAAAEEEKgU+F0d+95/If5gWuli43f6zUY/kRIBBBBAAAEEEGgygZGvIE2dsVRbtFNr5x2nto6V6v8/Px33taNh7e1fqY62i3R//zY91LOg9I+3tbXN1OJ1mzWwb9x3l4aHtLNvnRZ3uK9OjXx9ak5Pr/oHUnxxasJXnkba/mz3vVrX16d1i2eO1rtAPQ9t19DeAT29brE6Sm3N1OI7ntPQhDg71Tf2ucuzQD29/RMza68Gnr5jLHPH4nX6Vm+P5rSdqZ7+18f6e3ho+7hj71Dq4xqryc8bJhR+XKkVAQQQQAABBBBAYFKBI9S55Js6sPsBzdcsrdj6SxUHV2vu0VF/PH1MV968RUctfcz9Owc6MHi7TvgfV2nZ+h3aV2rjTe28/Qqd//iRumrnb0pligd+pM9NfVTzlj2gneMnHpNmivrweV1/9w6dcuNzKhZ/o8Gtf6Ttl39IHafdohf/+FbtKR7Q2z+7TrqtSzdt+rlKc4p923X7J5bp8alXaueB4mjm6zR1w5XjMu/Xq30rNXvxizqv/y0Viwc0cMNxeuKmtdo2Lsbwq326YtZS9R//eQ2W6tqlwozndMnslep7df+4kjm+LS9Sa2l98HJmfiKAAAKtLmDp2m0pa6uPK44fgUYKHNj9QHG+ZhVXbP3lSLMHflZ8YH57sX3F1uJbxQPFt7beUGwf/3mp1C+LW1fMKmr+A8XdB4rF4ltbiyvax9UxegAjdV9YfGD3O8Vi8Z3i7gcuPLhP1EEmabvUVntx/gM/K7qmS6+o/dpvKG59a6zEoe2X6vlAccnGVw7Wc8jxVhxnub3iyPYRo7GN3t/EXccPy3EuQ9MIIIAAAggggAACCNQgME0nzjhF2vCS9uwbVuf0uVozuEPaN6D+vu/qTVfjmz/U3Uvd3/ZfqItraKH2XaZo+tzVGhwc1r6B76rvmTckDevNH96vpWu3SPM/VvpLsw10AAAS/UlEQVR9745ntGHodK36wO+Pe3ZkiqadeKpmastI83v/QZs37FT7pSfr+Ak3bkaOf+imZ7TjxtmaO33Ch7VHr3FPb63n9ZR5LQ6Wsrrjs5SXrLWMyGT7YJvMKW0pS65pj43yyQUsjQNLWV0PWMpL1uTnTNqS2dvu1a7epeo4aobm3f3DkQnFexeqsOM+zdfL2r1n5ItRaXO68r9WUTNOnJZu130vqnfxv9NRMz6hu3/4K0lT9N4Fa7XjgQulF0YmQWkqHFo7T0eXntUoPx9ypGYsfeyQKrJ3PaSJyA3coYhkYSMCCCCAAAIIIICAFQG39Ow1S7dr4cZXdP+iPxj9G3/3UPUWvSDpjIYeyLsa+ObfaOnT52njntu16ITDR1t/Xf09L0s6NWWads1/oF9PLjlt3J2MlFV4Lu7tDoXn3FSPAAIIIIAAAggggEDp60P79rykF3S6zpnw9aHf6u03U6zwlJnlPu3Z/bI084P6QHt5MuFi/pPefP03o61M0fQzP6JL2yvvngxr5FhGi03/t1pwaYdeeO6nE1aQkt7UznV/Nvk/0pfZ8VSviAlFdSNKIIAAAggggAACCAQrUP7D+fe14cHvjf7Be7+Gtt+vlcu/rKGG5z5GZy6Yr/Ytj+rBba+OrPo0PKTtd35ey3tfPJhm+rn61D3/Xhtuvl19paVt3TMXm3TLzQ+Oy3ysZn9qpRY++ddaeWd5WVr3L4uv1XXXS7etXqTOAP407y1CV1fXQbDA31nK6igt5SWrv8GPrR9bS65+BKjVCVgaB5ayYuvv/Gr5cTD9XH36iTU6+weL1THVPWcwS5/97rFavOkxrWivz/09+tcpK5ii6bOv1hMPnqEfzDtRU92zDyd+Vt89abE2bVyhg3EO1wmLVmvbyuP0+Oyj1dY2VZ23/Fxzr/6U5o9rccoJF+jObXfqvNf+ZvTYjtbsx4/R1Tvu17Wz3juuZH7Xrja3vpRL4v4BkNG3E4LxCwIIIIBAuAKWrt2Wsobb4yRDAIFmFxge6NXC2S+pZ9eq3FdvqrSOu457u0OR11PmlQee5HdLWd3xWMpL1iQjsLYy2NbmVm0vS67VjoXPaxewNA4sZXU9YikvWWs/h6rtia2kvf3q6Zipxb0vjv7jfNLw0HO685avaP+1F+jsGpaCzcvV24Si2kDicwQQQAABBBBAAAEEWlag9DWtL2jms/9JR40uCTt11n068PF79bVrz1bKhWpzZWTZ2Fz5aRwBBBBAAAEEEECgNQUOV/usRbruIfefbQHuUNjuP9IjgAACCCCAAAIIIJCrAA9l58pP4wgggEB9AnEPyNVXq5+9LWX1I0CtCCCAgG2BuOs4dyhs9yvpEUAAAQQQQAABBBDIVcDbhCKvp8xr0bSU1R2fpbxkrWVEJtsH22ROaUtZck17bJRPLmBpHFjK6nrAUl6yJj9n0pbENq1YsvJ5uXqbUCQ7bEohgAACCCCAAAIIIICAZQEmFJZ7j+wIIIAAAggggAACCOQswIQi5w6geQQQQAABBBBAAAEELAuwypPl3iM7Agi0vEDcihshwljKGqIfmRBAAIG8BeKu49yhyLtnaB8BBBBAAAEEEEAAAcMCTCgMdx7REUAAAQQQQAABBBDIW8DbhCKvZatqAbWU1R2fpbxkrWVEJtsH22ROaUtZck17bJRPLmBpHFjK6nrAUl6yJj9n0pbENq1YsvJ5uXqbUCQ7bEohgAACCCCAAAIIIICAZQEmFJZ7j+wIIIAAAggggAACCOQswIQi5w6geQQQQAABBBBAAAEELAuwbKzl3iM7Agi0vEDcEn4hwljKGqIfmRBAAIG8BeKu49yhyLtnaB8BBBBAAAEEEEAAAcMC3iYUeT1lXktfWMrqjs9SXrLWMiKT7YNtMqe0pSy5pj02yicXsDQOLGV1PWApL1mTnzNpS2KbVixZ+bxcvU0okh02pRBAAAEEEEAAAQQQQMCyABMKy71HdgQQQAABBBBAAAEEchZgQpFzB9A8AggggAACCCCAAAKWBVjlyXLvkR0BBFpeIG7FjRBhLGUN0Y9MCCCAQN4Ccddx7lD8/+3csY7TWBQGYCNtAx0SJbTUNFQUSHR0CImWBoHCC/AM1BRkhUSDkJCQoEWUFPTUtFDDI8zqDpgNASNP4hOfY74UOzNOcv37O9fePRvnzl0Z+ydAgAABAgQIECBQWCCsoZjrW+a71KJS1nZ8lfLKusuMHPcetuOcTvqqSq4nPTavHy9QaR5UytoqUCmvrOPPmZO+ku1Jxca9fi7XsFueNg9otVodK2xuaxum3t7GjN7H2PEjjm/svntXHk3g26M3OanhVK9vKaYaa99xWpa5PObcd3/MS6vF/fv3u/V6vXNND+mxnfWQ+277ao9+HmyfR396bug9U29vGbZzTb2PofHn3Pd2pr+9Fpk81OLfRvDT41Dn5D7zoM/4U/CJ/hi65ak7+v7ouh+/9pv2+rler/d6/yHfXClrc6mUV9a4mcw2xraSaxOY+todo/pt1EpZK82DSlnbTKiUV9a4KwLbGNto16HreNgtTxM1QoYhQIAAAQIECBAgQCCxQNgtT4mPWTQCBAgsRmDw4+eER1gpa0I+kQgQIDC7wNB13CcUs5dGAAIECBAgQIAAAQJ1BcIait99mSQrU6WszbBSXlnjZj3bGNtKrjECRm0CleZBpaxs484v84DtnOdXWEMRV1YjEyBAgAABAgQIECCQRUBDkaUSchAgQIAAAQIECBAoKKChKFg0kQkQIECAAAECBAhkEbDKU5ZKyEGAAIEdBIZW3NhhqPC3VMoajmEHBAgQKCgwdB33CUXBYopMgAABAgQIECBAIItAWENRabWBSlnbxKmUV9a4U51tjG0l1xgBozaBSvOgUla2ceeXecB2zvMrrKGIK6uRCRAgQIAAAQIECBDIIqChyFIJOQgQIECAAAECBAgUFNBQFCyayAQIECBAgAABAgSyCFjlKUsl5CBAgMAOAkMrbuwwVPhbKmUNx7ADAgQIFBQYuo77hKJgMUUmQIAAAQIECBAgkEUgrKGotNpApaxt4lTKK2vcqc42xraSa4yAUZtApXlQKSvbuPPLPGA75/kV1lDEldXIBAgQIECAAAECBAhkEdBQZKmEHAQIECBAgAABAgQKCmgoChZNZAIECBAgQIAAAQJZBDQUWSohBwECBAgQIECAAIGCApaNLVg0kQkQINALDC3h1z+f6WelrJncZCFAgEAWgaHruE8oslRIDgIECBAgQIAAAQIFBcIaikrLl1XK2uZYpbyyxl0V2MbYVnKNETBqE6g0DyplZRt3fpkHbOc8v8IairiyGpkAAQIECBAgQIAAgSwCGooslZCDAAECBAgQIECAQEEBDUXBoolMgAABAgQIECBAIIuAVZ6yVEIOAgQI7CAwtOLGDkOFv6VS1nAMOyBAgEBBgaHruE8oChZTZAIECBAgQIAAAQJZBMIaikqrDVTK2iZOpbyyxp3qbGNsK7nGCBi1CVSaB5Wyso07v8wDtnOeX2ENRVxZjUyAAAECBAgQIECAQBYBDUWWSshBgAABAgQIECBAoKCAhqJg0UQmQIAAAQIECBAgkEXAKk9ZKiEHAQIEdhAYWnFjh6HC31IpaziGHRAgQKCgwNB13CcUBYspMgECBAgQIECAAIEsAmENRaXVBiplbROnUl5Z4051tjG2lVxjBIzaBCrNg0pZ2cadX+YB2znPr7CGIq6sRiZAgAABAgQIECBAIIuAhiJLJeQgQIDACIG7d+92Hz9+/OWVnz9/7m7cuPHL9iwb+sxfvnzJEkkOAgQIEJhIQEMxEaRhCBAgcAiBW7dudQ8ePPhlV48ePepu3779y/YsG1rmK1eudA8fPswSSQ4CBAgQmEjAKk8TQRqGAAEChxJon1Jcv369u3nzZtdW3Hj79m33+PHj7sWLF93p06cPFWP0fl6/ft29efOma03P1atXuydPnnSXLl0a/X4vJECAAIEcAkOrPGkoctRHCgIECIwWaLc3Xbhwofv06dPxz8uXL3fPnz/vLl68OHqMQ71wM+v58+e7Dx8+dPfu3evevXuXsvk5lIv9ECBAoKLAUEMRdstTpdUGKmVtk69SXlnjLhdsY2wruLb/MH/16tXx//FvCu1Wp4zNRMvWPpVoWVvmZts+mWjf9Xj69GlMAScatcI86A+1UtaWuVJeWftZNv1PttObznl+hTUUMUxGJUCAAIEm0G536r/ofOfOnZQo79+/P87Ybs/afKxWq+7Zs2c/8m8+53cCBAgQqCcQdsvTZufZ/uXRHpvb2t9Tbz/EPsYeQ8Txjd1378qjCXx79CYnNZzq9S3FVGPtO07LMpfHnPvuj3lJtfj69Ws7nO7s2bM71zTS49q1a925c+e6ly9fHufs/9Fq0W6FOnPmzG+fi8zUz4Pt86jtc+i5Q22f47j7Y5tz32rR9Ifn35+e6+u3bTjV9jn33R9DyxB1fP0+xo4/p8dJ9t0fV3vP1I+hW566o++Prvvxa79pr5/r9Xqv9x/yzZWyNpdKeWWNm8lsY2wruboexMwBrnGubONsXbvYHuL8GuoXwj6hmLojMh4BAgQIECBAgAABAvMJDH1C4TsU89XEngkQIECAAAECBAiUFwhrKLbvR8ssVSlrc6yUV9a4mc82xraSq+tBzBzgGufKNs7WtYvtnOdXWEMRV1YjEyBAgAABAgQIECCQRUBDkaUSchAgQIAAAQIECBAoKKChKFg0kQkQIECAAAECBAhkEdBQZKmEHAQIECBAgAABAgQKClg2tmDRRCZAgAABAgQIECBwaAHLxh5a3P4IECBAgAABAgQI/AUCYbc8VVq+rFLWNicr5ZU17irCNsa2kqvrQcwc4BrnyjbO1rWL7ZznV1hDEVdWIxMgQIAAAQIECBAgkEVAQ5GlEnIQIECAAAECBAgQKCigoShYNJEJECBAgAABAgQIZBGwylOWSshBgAABAgQIECBAILGAVZ4SF0c0AgQIECBAgAABAlUFwm55qrTaQKWsbaJVyitr3KWBbYxtJVfXg5g5wDXOlW2crWsX2znPr7CGIq6sRiZAgAABAgQIECBAIIuAhiJLJeQgQIAAAQIECBAgUFBAQ1GwaCITIECAAAECBAgQyCJglacslZCDAAECBAgQIECAQGIBqzwlLo5oBAgQIECAAAECBKoKhN3yVGm1gUpZ20SrlFfWuEsD2xjbSq6uBzFzgGucK9s4W9cutnOeX2ENRVxZjUyAAAECBAgQIECAQBYBDUWWSshBgAABAgQIECBAoKCAhqJg0UQmQIAAAQIECBAgkEXAKk9ZKiEHAQIECBAgQIAAgcQCVnlKXBzRCBAgQIAAAQIECFQVCLvlqdJqA5WytolWKa+scZcGtjG2lVxdD2LmANc4V7Zxtq5dbOc8v8IairiyGpkAAQIECBAgQIAAgSwCGooslZCDAAECBAgQIECAQEEBDUXBoolMgAABAgQIECBAIIuAVZ6yVEIOAgQIECBAgAABAokFrPKUuDiiESBAgAABAgQIEKgqEHbLU6XVBiplbROtUl5Z4y4NbGNsK7m6HsTMAa5xrmzjbF272M55foU1FHFlNTIBAgQIECBAgAABAlkENBRZKiEHAQIECBAgQIAAgYICGoqCRROZAAECBAgQIECAQBYBqzxlqYQcBAgQIECAAAECBBILWOUpcXFEI0CAAAECBAgQIFBVwC1PVSsnNwECBAgQIECAAIEEAmENRaXlyyplbXOmUl5Z485ytjG2lVxdD2LmANc4V7Zxtq5dbOc8v8K+Q7E5sVer1XGVN7e1DVNv/x3k1PsYewwRxzd23/0x82gC3x69yUkNp3p9SzHVWPuO07LM5THnvvtjVosm8P8cmNNjzn1vn0ebJtvP9XMnevucHnPue9v1b69FJg+1+LcR/PQ41PVgn3nQZ/wp+ER/DH2HIqyhmCi3YQgQIECAAAECBAgQSCAw1FCE3fKU4JhFIECAAAECBAgQIEAgWEBDEQxseAIECBAgQIAAAQJLFtBQLLm6jo0AAQIECBAgQIBAsICGIhjY8AQIECBAgAABAgSWLKChWHJ1HRsBAgQIECBAgACBYAENRTCw4QkQIECAAAECBAgsWUBDseTqOjYCBAgQIECAAAECwQIaimBgwxMgQIAAAQIECBBYsoCGYsnVdWwECBAgQIAAAQIEggU0FMHAhidAgAABAgQIECCwZAENxZKr69gIECBAgAABAgQIBAtoKIKBDU+AAAECBAgQIEBgyQIaiiVX17ERIECAAAECBAgQCBbQUAQDG54AAQIECBAgQIDAkgU0FEuurmMjQIAAAQIECBAgECygoQgGNjwBAgQIECBAgACBJQv8s3lwp06d2vzT7wQIECBAgAABAgQIEPijwI+G4ujo6I8v9CQBAgQIECBAgAABAgS2BdzytC3ibwIECBAgQIAAAQIERgtoKEZTeSEBAgQIECBAgAABAtsC/wFTnKx8i4TgNAAAAABJRU5ErkJggg=="></p>
<p>Determine, using the ray diagram, the focal length of the diverging lens.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about an astronomical telescope.</p>
<p>A particular astronomical telescope is being used to observe the Moon. The ray diagram shows the position P of the intermediate image of the Moon formed by the objective lens.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The telescope is in normal adjustment.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram above,</p>
<p>(i) label with the letter F the <strong>two</strong> focal points of the eyepiece lens.</p>
<p>(ii) draw rays to determine the location of the final image of the Moon.</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 diameter of the Moon subtends an angle of 8.7×10<sup>–3</sup> rad at the unaided eye.</p>
<p>(i) Determine the diameter of the image of the Moon formed by the objective lens.</p>
<p>(ii) The focal length of the eyepiece is 30 cm. Calculate the angle that the final image of the Moon subtends at the eyepiece.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A magnifying glass is constructed from a thin converging lens.</p>
</div>
<div class="specification">
<p>A converging lens can also be used to produce an image of a distant object. The base of the object is positioned on the principal axis of the lens at a distance of 10.0 m from the centre of the lens. The lens has a focal length of 2.0 m.</p>
</div>
<div class="specification">
<p>The object is replaced with an L shape that is positioned 0.30 m vertically above the principal axis as shown. A screen is used to form a focused image of part of the L shape. Two points P and Q on the base of the L shape and R on its top, are indicated on the diagram. Point Q is 10.0 m away from the same lens as used in part (b).</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxQAAAFMCAYAAABSwfoiAAAgAElEQVR4Ae3d/49X1Z0/8OPGX5n5A4SJJv4iO6RNmqy0sLpuVjdi2jSFRuCDtdIUMayI0UpCraZ+WBO0jVRrRJui7rJCUzBNDZiPfpLGBlxo4kY/EP3FRAP4B8z4B8wnrwt38p437xnezL3vO+/3PY+bTOc998s59zzOFO9zzrn3XjczMzOTLAQIECBAgAABAgQIEFiEwN8t4hiHECBAgAABAgQIECBAoBAQKPwiECBAgAABAgQIECCwaIHrO4+8+cabOn/0mQABAgQIECBAgAABAlcIfP7lF7Prruu+hyJCRecOs3v6QIAAAQIECBAgQIBA1gK9soIpT1n/Smg8AQIECBAgQIAAgWoCAkU1P0cTIECAAAECBAgQyFpAoMi6+zWeAAECBAgQIECAQDUBgaKan6MJECBAgAABAgQIZC0gUGTd/RpPgAABAgQIECBAoJqAQFHNz9EECBAgQIAAAQIEshYQKLLufo0nQIAAAQIECBAgUE1AoKjm52gCBAgQIECAAAECWQsIFFl3v8YTIECAAAECBAgQqCYgUFTzczQBAgQIECBAgACBrAUEiqy7X+MJECBAgAABAgQIVBMQKKr5OZoAAQIECBAgQIBA1gICRdbdr/EECBAgQIAAAQIEqgkIFNX8HE2AAAECBAgQIEAgawGBIuvu13gCBAgQIECAAAEC1QQEimp+jiZAgAABAgQIECCQtYBAkXX3azwBAgQIECBAgACBagICRTU/RxMgQIAAAQIECBDIWkCgyLr7NZ4AAQIECBAgQIBANQGBopqfowkQIECAAAECBAhkLSBQZN39Gk+AAAECBAgQIECgmoBAUc3P0QQIECBAgAABAgSyFhAosu5+jSdAgAABAgQIECBQTUCgqObnaAIECBAgQIAAAQJZCwgUWXe/xhMgQIAAAQIECBCoJiBQVPNzNAECBAgQIECAAIGsBQSKrLtf4wkQIECAAAECBAhUExAoqvk5mgABAgQIECBAgEDWAgJF1t2v8QQIECBAgAABAgSqCQgU1fwcTYAAAQIECBAgQCBrAYEi6+7XeAIECBAgQIAAAQLVBASKan6OJkCAAAECBAgQIJC1gECRdfdrPAECBAgQIECAAIFqAtdXOzzvo48dPZqO/fHogggP/GRruvOuuxbcx0YCBAgQIECAAAECoypghKJCz3118WL625kzKb53LuX62PbQtgdTBA8LAQIECBAgQIAAgTYKGKGooVfX/3BD2rlr15ySLl68mF58YX96+9ix4vv6DRvmbPcDAQIECBAgQIAAgTYIGKEYUC8uX748Pfn0U2nZsmXpq6++Sp99+umAalIsAQIECBAgQIAAgaUTECgGbP/1118XoeKG5csHXJPiCRAgQIAAAQIECDQvYMrTAMxjNKKc8hTFx03ZY2NjA6hJkQQIECBAgAABAgSWVkCgqMH/xf2/SfHVa7nhhhtSPOnJQoAAAQIECBAgQKCNAgJFDb0aoaGc0hRPeIp7JmL5+VO/SA9sFSZqIFYEAQIECBAgQIDAkAq4h6KGjomnPL31hyPF1wenTqYfrF9flBpPeYqpTxYCBAgQIECAAAECbRUQKAbQs8/9+lfpH269NcUN2Q/9dFuanp4eQC2KJECAAAECBAgQILD0AgLFgPogQkU8Mvazzz5Lbxw8OKBaFEuAAIHRF7j5xpvS3meeGf2GaAEBAgQyFRAoBtTx8R6KnY9eetld3LDtPRQDglYsAQIjLXDm9Oni/N84+LopoiPdk06eAIGcBQSKAfZ+3JAdU59ieeKxxwdYk6IJECAwmgK/eWF/ceJx71ncd2YhQIAAgdET8JSnCn126+rVaeeulOL7fMsvnn4qvf/ee8XmuEE7Ri4sBAgQIJBSjE6Uo7cxovtPa/+xGNn176TfDgIECIyWwHUzMzMznaccc1k///KLzlU+EyBAgACB2gU237sxrf726uI9PvHfnXIkN+5BsxAgQIDAcAr0ygqmPNXcV4EcXxYCBAgQmF+gHJ34cce7emKU4u1jx9xLMT+bLQQIEBhKAYFiKLvFSREgQKDdAnHvxAM/2ZrGxsZmGxpTndxLMcvhAwECBEZGQKAYma5yogQIEGiHQK/RibJlRilKCd8JECAwOgICxej0lTMlQIBAKwRe//3BK0YnyoYZpSglfCdAgMDoCHjK0+j0lTMlQIBAKwTu/Ne70p133TVvW2KUonw/xbw72UCAAAECQyMgUAxNVzgRAgQI5CGwfsOGBRsaoxTLr7LPggXYSIAAAQKNCpjy1Ci3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJfA9e1qTn6tOXP69Gyjb129evazDwQIECBAgAABAgSaEBAomlCuuY7p6em095fPpPffey99/fXXc0r/wfr16cmnn0pjY2Nz1vuBAAECBAgQIECAwCAETHkahOoAy7x48WL67t3r0tvHjhW1RIDYueuRdMsttxQ/x/rb16xNn3366QDPQtEECBAgQIAAAQIELgkYoVjgN2HzvRvn3bp8+fL0wE+2pltWrpx3n0FseOKxx9NXX31VBIj/+sOR2ZGInbt2pRi5+F/3bkyfffZZ2v7TbemDUycHcQrKJECAAAECBAgQIDArIFDMUlz54W9nzly58vKa2BajAa+89mq686675t2vzg1xv0TUu2zZstQZJso6YprTc7/+VYogFKHj2NGjaf2GDeVm3wkQIECAAAECBAjULmDKUx+kn3/5Rer8+p//90n6lzvvLI6MEYOmlmN/PFpUtf6HG2ZHJrrrjhGTnY/uKla//3/e697sZwIECBAgQIAAAQK1CggUi+CMkYADv3utODJuim7qfoW4fyKWq42IrLw8DavzCVCLaKZDCBAgQIAAAQIECFxVQKC4KtH8O8TUo1ji3oVhWsrHx3Y/AWqYztG5ECBAgAABAgQItENAoFhkP8b9CeUF+w3Lly+ylMEc1tSIyWDOXqkECBAgQIAAAQKjJOCm7D5668X9++fsdfq/L90cHSt/vPWBFE98amIp3y3x6aefpnIUole95dSof7j11l6brSNAgAABAgQIECBQm4BA0Qfli/t/03OvCBPxuNamljv/9a70f99/P8XN1g9s3TpbbQSIuF8i7q2I0PH67w8W21Z/25uzZ5F8IECAAAECBAgQGIiAQNEH638dOTxnr7hob/r9E3ECERj2LnumeHRsjJqUYSbemP3vz/zvYlvsE4+WveGGG9KPO0LHnAb4gQABAgQIECBAgEBNAgJFH5ALTS/q4/DadokgE++ZeGjbgylGTWLqVbxcL6ZcxZuy44V25Ru0n3z6qXkfLVvbCSmIAAECBAgQIEAgewGBYsR+BWIEIkZM4v0XMRIRX72W2B5hI0Ypynsveu1nHQECBAgQIECAAIEqAgJFFb0lOjZGTD44dTLFVKfOJzrFNKwIHHE/xd5fPlOMYpj2tESdpFoCBAgQIECAQCYCAsWAOvrmG28aUMm9i403eZdLBI533j1RhA2jE6WK7wQIECBAgAABAoMQECgWUN2565EFtg7/pqW4cXz4VZwhAQIECBAgQIBAnQICxQKa5VOUFtjlik2dIwVXbFxgRbxt+/Y1a4spS3Hj9bUsTY+GXMu52ZcAAQIECBAgQKDdAt6UPST9+8bBg8Wbt+MpTeWL6Ybk1JwGAQIECBAgQIAAgXkFBIp5aZrbEKMT5cvofrB+fXrxhblv5m7uTNREgAABAgQIECBA4NoEBIpr8xrI3jE6Ud7vsPPRXcW7JK5llGKx06wG0hiFEiBAgAABAgQIZCUgUCxxd5ejE488uqs4k3hJnVGKJe4U1RMgQIAAAQIECPQtIFD0TTWYHcvRic63cS9mlGIwZ6dUAgQIECBAgAABAgsLCBQL+wx867E/Hk3l6ERZWTlK8fbRo+WqBb97ytOCPDYSIECAAAECBAgMUMBjYweI20/R8cbrXsu1Pjq2VxnWESBAgAABAgQIEBi0gBGKQQsrnwABAgQIECBAgECLBQSKFneuphEgQIAAAQIECBAYtIBAMWhh5RMgQIAAAQIECBBoscBIBop3j59I3//u91LcjBxfd9x2e3r1lQNX7aZzZ8+m+7dsmT0uPse67uXJPXtm94nyH96xI104f757Nz8TIECAAAECBAgQyF5g5ALF1NRUigv+8fGx9NEnH6d4qdvGTZvS8/v2pSNvHZ63QyMQ3L/lvmJ7HBNfY+PjxbrOsBDlRGDZ++yzxT5/+esH6cL5C+lHl4+dt4Il3ODFdkuIr2oCBAgQIECAQOYCIxco4mI/QkVc8I+Pjxfd9+BD29OKiYl07tyVow1l/x45fClsvHnoULkqPbF7d1FWuS02nDh+It19z7q0cfOmYr8oNwJLhI7O4DFbiA8ECBAgQIAAAQIEMhYYuUARoSGCRFzody5r1q4pRhY613V+/tnu3cWIRue67s9laFix4sqyY98IG51LTJeKKVEx3apzKlU5RSq+l9OyYnsEIQsBAgQIECBAgACBNgmMXqA4e+6KMBEdEiEjLtj7vWiP/S5NnRovRiCijHNnzxV9O9EVVmJqVCzT070DwWsHDqSNmzYXU6Ri5CRGUeK+jsnJVcW6P73z56LsmE41iCVCi4UAAQIECBAgQIDAUgiMXKC4GlI/05Lihu5vfeOb6dTJU8XUpu7RjvnqOD/PjdkxRSq+YompUhFuYsQkpmLFMrlqVZpcNVnUV6zwPwQIECBAgAABAgRaIpDlm7JjxCCWS099uq/43nlvxbX2bfcUqTi+HNUoy4qfp6cujYCU63wnQIAAAQIECBAgMOoCrRuh6He0ITouRg5iZCFGKvoZ2eieClVH5z/x2ONpenr6iqKOHT2a3n/vvSvWW0GAAAECBAgQIEBgmARGLlDE1KFeF/9xT0RMNYqva1nK/eP4KDuW7qlN05dvph4bu7ay+zmPixcvpjcOHpyzawSMvb98Jo2Njc1Z7wcCBAgQIECAAAECwyYweoFiclVx43V3qIhRhjIQ9EKOpyzFjdLdSxlEYmSj/LpwYe5L7KLsWGJEo+7lkUd3pdd/f3DOKEUEjFtWrky3rl7dV3XeQ9EXk50IECBAgAABAgQGIDBygSKmKMWoQjyhKcJALPHY1ggY8aSl+ZZt2x8q9ul8o3Y8jSm+tm3fPjuyse6edcUL8sqX5EW58Z6KCBNxo3XdS4SGCA/lKEWMTkTAiKBhIUCAAAECBAgQIDDsAiMXKCJMxDslpqamiyc1xSNT47Gtsa580lKgx5OcYlsZOiIMvPTyy+nDUydn3w3x6uXjyqcxxXERLuJJTRFY4vgY1Yi3cr/08m8H1pflKEVUcK2jEwM7KQUTIECAAAECBAgQ6EPgupmZmZnO/eIi2hSaTpFmPm++d2P625kzadmyZenA717re7pTM2enFgIECAxOwH93BmerZAIECNQt0Ovf7JEboagbZVjKK6c4Xcu9E+W5R8daCBAgQIAAAQIECCyFwNCMULgoXoruVycBAgQIEBh+ATMnhr+PnGE+Ar1GKIbmxXb+sVj8L2Kvjl18aY4kQGA+Af9fm0+m2nqu1fwWOprtQjq2ESBQl4ApT3VJKocAAQIECBAgQIBAhgICRYadrskECBAgQIAAAQIE6hIQKOqSXMJyTBdbQnxVEyBAgAABAgQyFxAoMv8F0HwCBAgQIECAAAECVQQEiip6jiVAgAABAgQIECCQuYBA0YJfgHiKh4UAAQIECBAgQIDAUggIFEuhrk4CBEZSwP1KI9ltWZ+039msu1/jCTQmIFA0Rq0iAgQIECBAgAABAu0TECja16daRIDAgAXOnT2b7t+yJcV0w/huITDsAlNTU+nhHTuK39k7brs9xc8WAgQI1CUgUNQlqRwCBLIQuBQm7ksbN21Obx46lM6dPZdFuzVydAUiPNy/5b40MTGRYgrU9NSU39vR7U5nTmAoBa4fyrNyUgQIEBhSgYd3/Fvatn17uvuedcUZfvTJx0N6pk6LwCWBJ/fsSePjY+lnu3cXK/zO+s0gQKBuASMUdYsuQXluulsCdFVmKfDqKweKv+5u3Lwpy/Zr9OgJxIjau8dPFCNqo3f2zpgAgVEREChGpaecJwECSyoQ00aOHD6cJldNpvHx8SU9F5UT6Ffg+X37it/XckSt3+PsR4AAgWsRECiuRcu+BAhkKRAjE9/6xjfThfPn06mTp9yIneVvwWg1On5P46EB8T3CcPz+WggQIDAoAYFiULINluvFdg1iqypLgQcf2l7cgB2Njxux48tCYJgF1qxdU9yAHaNpce+E+yaGubecG4HRFxAoRr8PtYAAgQYEYi56XJzFhZqFwCgIlKMTk6tWjcLpOkcCBEZYQKAY4c5z6gQINCfw4amTxf0TzdWoJgLVBITgan6OJkCgfwGBon8rexIgkLFAvG/iO2vWZiyg6aMmIASPWo85XwKjKyBQjG7fOXMCBBoSMHWkIWjV1CogBNfKqTACBBYQECgWwBmVTd5DMSo95TxHVcDUkVHtuXzPWwjOt++1nMBSCAgUS6GuTgIERkogpo58x83YI9VnuZ9shOAVExMeIpD7L4L2E2hIQKBoCFo1BAiMrkBMHdm4afPoNsCZZycQIXjjJm90z67jNZjAEgkIFEsEr1oCBEZD4N3jJ/yldzS6ylleFogX2RUheLNA4ZeCAIFmBASKZpwHWosX2w2UV+EZCjy/b196cs+eFNNGntu3L7308m8zVNDkURKI4HvHbbcXb8XeuWNH8TK7eG+KhQABAk0IXN9EJeogQIDAKAmsWDGRXn0lAsW5IkzEXHQLgWEWmFw1maanptI/33Z7ESY2Gp0Y5u5ybgRaJyBQtK5LNYgAgaoCcTHmgqyqouObFIjQ+9EnHzdZpboIECAwK2DK0yyFDwQIECBAgAABAgQIXKuAQHGtYvYnQIAAAQIECBAgQGBWQKCYpRjdD15sN7p958wJECBAgAABAqMuIFCMeg86fwIECBAgQIAAAQJLKCBQLCH+oKs+dvRoun3N2nTm9OlBV6V8AgQILCiw95ln0uZ7N/r3aEElGwkQIDCaAgLFaPbbnLPufg9FGSRefGF/2vnornTr6tVz9vcDAQIEmhbYuWtXWv3t1Wn7T7cJFk3jq48AAQIDFvDY2AEDN1l8BIkIEbFEkFi/YUOT1auLAAEC8wqMjY2lCBU/3ro1vXHwYBEsblm5Mj3y6K55j7GBAAECBEZD4LqZmZmZzlONv3a7ybdTZPg/d49QDP8ZO0MCBAjMFfDfnbkefiJAgMCwCvTKCkYohrW3rvG8fv7UL4rRifIvfqY5XSOg3QkQaExgenq6GKV4/fcHU/yb9bczZxqrW0UECBAgUL+AeyjqN12SEh/YujV9cOrk7BzlmKd88eLFJTkXlRIgQKCXQASJF/fvLx4Wcfq/T6cDv3stvfWHI712tY4AAQIERkhAoBihzrraqZZzlCNYrPz7lemf1v5jeuKxx692mO0ECBAYuED5sIjOIGEkdeDsKiBAgEAjAqY8NcI82Eq65x6XweIHGzakt48eHWzlSidAgEAfAvHvUoxICBF9YNmFAAECIybgpuwR6zCnS4AAgbYJ9LrBr21t1B4CBAi0RaDXv9mmPLWld7WDAAECBAgQIECAwBIICBRLgF53lR4bW7foaJd36uSpFL8T586evaIhT+7ZU2yL7fH18I4d6cL581fs171iscd1l+NnAgQIECBAoH0CAkX7+lSLMhaIELFzx46eAs/v25fePX4i7X322eJdM3/56wfpwvkL6Udb7uu5f7lysceVx/tOgAABAgQItFtAoGh3/2pdRgJx4R9f27Zv79nqE8dPpLvvWZc2bt5UbF8xMZE2btpUjFAsNEqx2ON6noSVBAgQIECAQOsEBIoWdGn3U55a0CRNuEaBV185kGKq04svv9zzyAgM8bVixcSc7WvWril+jtDQa1nMcd/6xjdTTJGK6VTl1Kr7t2wp6o/zLNd9/7vf6zktq9d5WEeAAAECBAgMr4BAMbx948wI9C0QweBP7/w5jY+P9zzm3NlzxfqJibmBYuzy/tPTU7Ued+Stw2lyctXs1Kqo/47bbk8fnjpZrPvok4+L+h7e8W8967WSAAECBAgQGB0BgWJ0+sqZEphXYHLVqnm39bPhfB83ZvcqZ77jYjrVgw9dmnoVnydXTRZh581Dh4piIvjcvW7dVadb9arTOgIECBAgQGC4BASK4eoPZ0OgFQIRIDqXciSkc135eWqq9+hIud13AgQIECBAYLgFBIrh7h9nR6ARge6pUP1Wutjj+i3ffgQIECBAgMDwCwgUw99HzpBAZYFyxKB7itL05dGBsbHe914s9rjKJ6wAAgQIECBAYGQEBIqR6SonSmDxAnEfQ3xduDD3JXbxZKhY5rsHY7HHLf5MHUmAAAECBAiMmoBAMWo95nwJLFJg3T3rUjx9Kb5iiUfCHjl8uAgT5eNjexW92ON6lWUdAQIECBAg0D4BgaJ9fapFBHoKxAvv4qV28Y6IeBdEPMZ1fHwsvfTyb2f3jxukY1u8I6Jc+jmu3Nd3AgQIECBAID+B62ZmZmY6mx0XE16U1iniMwECBAgMUsB/dwapq2wCBAjUK9Dr32wjFPUaK40AAQIECBAgQIBAVgICRVbdrbEECBAgQIAAAQIE6hUQKOr1VBoBAgQIECBAgACBrAQEiqy6W2MJECBAgAABAgQI1CsgUNTrqTQCBAgQIECAAAECWQkIFFl1t8YSIECAAAECBAgQqFdAoKjXU2kECBAgQIAAAQIEshIQKLLqbo0lQIAAAQIECBAgUK+AQFGvp9IIECBAgAABAgQIZCUgUGTV3RpLgAABAgQIECBAoF4BgaJeT6URIECAAAECBAgQyEpAoMiquzWWAAECBAgQIECAQL0CAkW9nkojQIAAAQIECBAgkJWAQJFVd2ssAQIECBAgQIAAgXoFBIp6PZVGgAABAgQIECBAICsBgSKr7tZYAgQIECBAgAABAvUKCBT1eiqNAAECBAgQIECAQFYCAkVW3a2xBAgQIECAAAECBOoVECjq9VQaAQIECBAgQIAAgawEBIqsultjCRAgQIAAAQIECNQrIFDU66k0AgQIECBAgAABAlkJCBRZdbfGEiBAgAABAgQIEKhXQKCo11NpBAgQIECAAAECBLISECiy6m6NJUCAAAECBAgQIFCvgEBRr6fSCBAgQIAAAQIECGQlIFBk1d0aS4AAAQIECBAgQKBeAYGiXk+lESBAgAABAgQIEMhKQKDIqrs1lgABAgQIECBAgEC9AgJFvZ5KI0CAAAECBAgQIJCVgECRVXdrLAECBAgQIECAAIF6BQSKej2VRoAAAQIECBAgQCArAYEiq+7WWAIECBAgQIAAAQL1CggU9XoqjQABAgQIECBAgEBWAgJFVt2tsQQIECBAgAABAgTqFRAo6vVUGgECBAgQIECAAIGsBASKrLpbYwkQIECAAAECBAjUKyBQ1OupNAIECBAgQIAAAQJZCQgUWXW3xhIgQIAAAQIECBCoV0CgqNdTaQQIECBAgAABAgSyEhAosupujSVAgAABAgQIECBQr4BAUa+n0ggQIECAAAECBAhkJSBQZNXdGkuAAAECBAgQIECgXgGBol5PpREgQIAAAQIECBDISihQbgAAAAqnSURBVECgyKq7NZYAAQIECBAgQIBAvQICRb2eSiNAgACBqwhMT09fZY+U+tnnqoXYgQCB1gu8e/xEun/Llqu288k9e9Krrxy46n7DssPDO3akb33jm8NyOlc9D4HiqkR2IECAAIE6Bbb/dFs6c/r0vEUeO3o0PfHY4/Nut4EAAQKlwIkTx9O5s+fKH3t+P3f2bDry1uGe26ysR0CgqMdRKQQIECDQp8D6H25Iv3lh/7x7v/jC/vTAT7bOu90GAgQIEBguAYFiuPrD2RAgQKD1Aus3bEhfXbzYc5QiRiduWL483bp6desdNJBArgLP79uXbr7xpmLU4Pvf/V7xOX6OaUmdy9TUVLEutpVfcWy5xLEx5Sn2i+29pjTF9tgvlji2cxpR7B8/l2XHNKML58+Xxff8Xk6xKo+J47vrjTKirHKfqD9GSTqX0qBznyh7oSXqueO222fLjTqi7cOwCBTD0AvOgQABApkJ7Hx0V89RihideOTRXZlpaC6BPAWOHD6c9j777+nzL79Ie599tggYnYHh/i33pVMnT6U/vfPnYp+XXn652Ke8ZyLW333PujQ+Pl5sf/Ch7VdAxvbYL5af7d6dPvrk4+JzhJeoK9ZF/X/56wfpwvkL6Udb7pv3Ir0MOCsmJopj4rht27cX5ZRTqmKfKCOmYUWZsc/4+FiKtpQX/xEEThw/Mbu93CfOqdynuyERJuJ8N27aNOd8o9xhWASKYegF50CAAIHMBHqNUhidyOyXQHOzF4iL48lVqwqHjZs3pbhQjwARS1xAx1/1n9i9e3afCAdxAR/7XO2v+QvhlvdURACJemOJuiPcxOjCawd637z94clTxQX/5OSlc47joowIBGU5ESyijAe3by/KjH22bX+oOK7cFucebY86y2Xjps3FPlFH9xLlRZiI9pehqTzfaEv3CEn38U38fH0TlaiDAAECBAh0C3SPUsToxHO//lX3bn4mQKClApOrJue0LEYayuXcubPFyENcRHcu6+5ZV1xcnzp1srjA7tzW7+cytHxnzdo5h0S4iQv1GD2IkYvu5Ttr1xTb3z1xvLj4n5iYuOIcPjx1sjhszdo1s4fH5wgd5RKfYySiHI2Jz+UIR7lP5/fyfNf0ON8wizrLoNF5XJOfjVA0qa0uAgQIEJgVKEcpYoXRiVkWHwgQSKmYftQLYuxy6JhvalCvY7rXTU9fuu8gpiJ1L3GBPj3PfQmx7T8O/WcxYhKjGOV9EvE9RhFimZq69Fjs8jy7y4+fI0jEvRdliIhyY8rXfEvZ1pgSVd5zUX6PbWWd8x3fxHojFE0oq4MAAQIEegrEKMXux3+WjE705LGSQLYCKyZWzF6kdyKUF/sxOrDYZWzs0khIrwvxuEDvnIrUXUdsi9GL+Ip9I1jElKO4/yLu1ShDSpxnBIXuJUYbYv8YUegcBSnDRff+8XNZTtxD0j1i02v/pVhnhGIp1NVJgAABAoVAjFLE4slOfiEIEOgUiPsU4oK9+16JmI4Uy4oViw8U5XSkcnpSWW/cjxAjDd1Tscrt3d/jQj9CQVzklyMU5TSqcppSHBPbYkQhbiaPOmLpvA+j2OfC/E+XKs83poF1LuETIx3l1KnObU1/FiiaFlcfAQIECMwReOfE8fSLp5+as84PBAjkLRB/wY97Gp7bt2/2IjzCRYwIxAV2eRN0+df7uLguL+q75cp9YqrTpcCwqjg+RgrKkYFY/+SenxejE50jB51lRf0RDDpvgo51cSN1OXJQ3lweT7AqzyfaEEvcnF2GgyOH35otOsory4x2dC8xKhLldu+3c8eOFFOr4kb1pV4EiqXuAfUTIEAgc4FbVq5M8WUhQIBAp8Cbh/6zuAAv31UR9yrEhfWbhw7N7hZPS4qL6uKehMO934bdeUEe73GIi/a4ZyGCQ/x1P0JCrI9pVnGPRBlAZiu5/CFCQxz37olLwSKOi3OKC/ryHog4NsqIssp3RsR0qJiuFGEiQlLsG4+VjePjK0ZKyhBzYZ6RivJ8I6jEMdHeWBY63+7zH+TP183MzMx0VhAn2Xkneuc2nwkQIECAAAECBAgQyFegV1YwQpHv74OWEyBAgAABAgQIEKgsIFBUJlQAAQIECBAgQIAAgXwFBIp8+17LCRAgQIAAAQIECFQWECgqEyqAAAECBAgQIECAQL4CAkW+fa/lBAgQIECAAAECBCoLCBSVCRVAgAABAgQIECBAIF8BgSLfvtdyAgQIECBAgAABApUFBIrKhAogQIAAAQIECBAgkK+AQJFv32s5AQIECBAgQIAAgcoCAkVlQgUQIECAAAECBAgQyFdAoMi377WcAAECBAgQIECAQGUBgaIyoQIIECBAgAABAgQI5CsgUOTb91pOgAABAgQIECBAoLKAQFGZUAEECBAgQIAAAQIE8hUQKPLtey0nQIAAAQIECBAgUFlAoKhMqAACBAgQIECAAAEC+QoIFPn2vZYTIECAAAECBAgQqCwgUFQmVAABAgQIECBAgACBfAUEinz7XssJECBAgAABAgQIVBYQKCoTKoAAAQIECBAgQIBAvgICRb59r+UECBAgQIAAAQIEKgsIFJUJFUCAAAECBAgQIEAgXwGBIt++13ICBAgQIECAAAEClQUEisqECiBAgAABAgQIECCQr4BAkW/fazkBAgQIECBAgACBygICRWVCBRAgQIAAAQIECBDIV0CgyLfvtZwAAQIECBAgQIBAZQGBojKhAggQIECAAAECBAjkKyBQ5Nv3Wk6AAAECBAgQIECgsoBAUZlQAQQIECBAgAABAgTyFRAo8u17LSdAgAABAgQIECBQWUCgqEyoAAIECBAgQIAAAQL5CggU+fa9lhMgQIAAAQIECBCoLCBQVCZUAAECBAgQIECAAIF8BQSKfPteywkQIECAAAECBAhUFhAoKhMqgAABAgQIECBAgEC+AgJFvn2v5QQIECBAgAABAgQqCwgUlQkVQIAAAQIECBAgQCBfAYEi377XcgIECBAgQIAAAQKVBQSKyoQKIECAAAECBAgQIJCvgECRb99rOQECBAgQIECAAIHKAgJFZUIFECBAgAABAgQIEMhXQKDIt++1nAABAgQIECBAgEBlAYGiMqECCBAgQIAAAQIECOQrIFDk2/daToAAAQIECBAgQKCygEBRmVABBAgQIECAAAECBPIVECjy7XstJ0CAAAECBAgQIFBZQKCoTKgAAgQIECBAgAABAvkKCBT59r2WEyBAgAABAgQIEKgsIFBUJlQAAQIECBAgQIAAgXwFBIp8+17LCRAgQIAAAQIECFQWECgqEyqAAAECBAgQIECAQL4CAkW+fa/lBAgQIECAAAECBCoLCBSVCRVAgAABAgQIECBAIF8BgSLfvtdyAgQIECBAgAABApUFBIrKhAogQIAAAQIECBAgkK+AQJFv32s5AQIECBAgQIAAgcoCAkVlQgUQIECAAAECBAgQyFfgupmZmZmy+TffeFP50XcCBAgQIECAAAECBAj0FPj8yy9m188JFLNrfSBAgAABAgQIECBAgEAfAqY89YFkFwIECBAgQIAAAQIEegsIFL1drCVAgAABAgQIECBAoA8BgaIPJLsQIECAAAECBAgQINBbQKDo7WItAQIECBAgQIAAAQJ9CPx/dhV5JTUA2hwAAAAASUVORK5CYII="></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch a ray diagram to show how the magnifying glass produces an upright image.</p>
<p><img src="data:image/png;base64,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"></p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the maximum possible distance from an object to the lens in order for the lens to produce an upright image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the position of the image.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>three</strong> characteristics of the image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw <strong>two</strong> rays to locate the point Q′ on the image that corresponds to point Q on the L shape.</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>Calculate the vertical distance of point Q′ from the principal axis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A screen is positioned to form a focused image of point Q. State the direction, relative to Q, in which the screen needs to be moved to form a focused imaged of point R.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The screen is now correctly positioned to form a focused image of point R. However, the top of the L shape looks distorted. Identify and explain the reason for this distortion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>A ray of monochromatic light enters a graded-index optic fibre.</p>
<p><img 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vPhuu5h+xM/4YcAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUEICh5RQrUolQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKQEBBw+CAQIECBAgAABAgQIECBAgAABAgQIECBAgEDJCQg4Sm7KFEyAAAECBAgQIECAAAECBAgQIECAAAECBAgIOHwGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZITEHCU3JQpmAABAgQIECBAgAABAgQIECBAgAABAgQIEBBw+AwQIECAAAECBAgQIECAAAECBAgQIECAAAECJScg4Ci5KVMwAQIECBAgQIAAAQIECBAgQIAAAQIECBAgIODwGSBAgAABAgQIECBAgAABAgQIECBAgAABAgRKTkDAUXJTpmACBAgQIECAAAECBAgQIECAAAECBAgQIEBAwOEzQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJScgICj5KZMwQQIECBAgAABAgQIECBAgAABAgQIECBAgICAw2eAAAECBAgQIECAAAECBAgQIECAAAECBAgQKDkBAUfJTZmCCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQGHzwABAgQIECBAgAABAgQIECBAgAABAgQIECBQcgICjpKbMgUTIECAAAECBAgQIECAAAECBAgQIECAAAECAg6fAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDkBAQcJTdlCiZAgAABAgQIECBAgAABAgQIECBAgAABAgQOLRTBsGHDCtWUdggQIECAAAECBAgQIECAAAECBAgQIECAAIEKENi/f3+fR2kFR5/pXEiAAAECBAgQIECAAAECBAgQIECAAAECBAgMlUDBVnBkBtCftCXThkcCBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUyO0L1N0+wgqM8Px9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAgQKA8BQQc5TmvRkWAAAECBAgQIECAAAECBAgQIECAAAECBMpaQMBR1tNrcAQIECBAgAABAgQIECBAgAABAgQIECBAoDwFBBzlOa9GRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEylpAwFHW02twBAgQIECAAAECBAgQIECAAAECBAgQIECgPAUEHOU5r0ZFgAABAgQIECBAgAABAgQIECBAgAABAgTKWkDAUdbTa3AECBAgQIAAAQIECBAgQIAAAQIECBAoBYEnomHKkTFs2LDE7znRsG1vERS9N7Y1nJOu6ciY0vBEP2rqrq3d0VRXne6nOuqadvejn8q6VMBRWfNttAQIECBAgAABAgQIECBAgAABAgQIECBAoCwEBBxlMY0GQYAAAQIECBAgQIAAAQIECBAgQIAAAQIEKkvg0MoartESIECAAAECBAgQIECAAAECBAgQIECAAIFiEhgV0xu3xf7GYqqpNGqxgqM05kmVBAgQIECAAAECBAgQIECAAAECBAgQIECAQJaAgCMLw1MCBAgQIECAAAECBAgQIECAAAECBAgQIECgNAQEHKUxT6okQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEsgQEHFkYnhIgQIAAAQIECBAgQIAAAQIECBAgQIBAPwV2b46VDZ+OudWHxbBhw9K/h0X13E9Hw8rNsbtfze+MzSsbo2HJ3KhubzvTx9Expe5z0dDYFNv25dNJa2xrujVurJsSh7W3lWyjIZq2tebTQNY5/WlrdzTVVaedqqOuqbPQE9Ew5cj0++dEw7a9iX6TDg2xZO4JWcbD4rApdXFjXsZd1Xt9rNy8MzWuvU11cWTa5ci6pkj2Wmw/Ao5imxH1ECBAgAABAgQIECBAgAABAgQIECBAoCQFEl+6N5wf1aMnR239tbFme3ZI0Brb11wb9bWT401TlsbG3XklEFkK+2L35oZEaHJcTK69NOqXrontWe+2Pd0ZzcuvjPpLZ8T4CX8dK7sLKXZvjIa574jxMy6JTyxvjgOVJtuojxlv+7NYsrHti/6Duul8oJBtdW471+td34slU96ScKiPpWtaOpzR2rw8PtGTcbf1XhG1k2vi/JVborcz1KGQQXpx6CD1oxsCBAgQIECAAAECBAgQIECAAAECBAgQKFuBnbExsapi2tINWWFB7sG2Ni+Jaee+Ph69f2FMGJ77nM5H9225Oc59T31sOJBEdD6l4+vtt0ftrDfH8Y9fHZM697HvZ9Fw7p9H/YZuAozWDbF0Wm38+oL/6dhu51eFbKtz2zlf/yyWnf/B2L59T853MwdTxn87Pp5ZPS/GZA4mH/OpN1piVe25cfiCP86+siifW8FRlNOiKAIECBAgQIAAAQIECBAgQIAAAQIECJSKQGJ1RdPSqM0KN6pqFsSy9Vvj1f37Y3/yd9emuH1BTVSlh9S64Zr4yM0/y3OVwC9j1aLr2sONZNtfWrEpdmXaTj++unV93Lx4TozLsLWsi3t/9HLmVabn2HLzFXFle7gxJmoWLIv1W19pq3P/q7Fr04pYPGdiRCLkWH7Lxk7XZ79sLWBb2e1293xHOtyYGHMWr4hNu15N1/1KbF3/mZgzLiOcKH/NF+Omzdnj70W98Xj86/J7o/sYpbs6B+c9AcfgOOuFAAECBAgQIECAAAECBAgQIECAAAECZSrwXNx364Eto6pqro4H77kpFk6vjvbFE6MmxYWN34pHl81Ihxw7Y0Pj6vhRPvsg7Xwo1q7b0WY37mOxNtH2x+dNilGdNIdXT4+6q78cjQtOSr/zXPz8qV0dz9r9YNy47LvpVSZjYuqy7yTqWBjTqzPBwPAYNWleXL36u7G+vZ2OTbS/KmRb7Y3m8aRqaix+pDlWXz0vJo3KCFdF9fRFsfr7t8aczFCi0/j3/SRWNB4Ye83ib8Q9ucb+9XtixXmJgKcEfgQcJTBJSiRAgAABAgQIECBAgAABAgQIECBAgEDRCmQHEPHOuOKLl8Xp7V+8Z1ddFRPmXRizMl/A51xhkX1++vmYebH6lfRKkG0NMT1n25nrRsX4E45Nv3g5nt/5u8wbqce9m9bFivS9QaqmXhVfufStB0KYDmceE9Ov/VwsyFoR0eHtxItCttW57a5fV8W4+ZfHx0/vsPHUgdPHTInZs8amX3cc/977b48bW9r2+EqO/auLzzwoJEpdOHxCzFt+Q7djP9Dh0D4TcAytv94JECBAgAABAgQIECBAgAABAgQIECBQ0gJ7f9gc38rcG2PirHjfqYd3PZ7ssGL/D+LqSd2c23Urnd5pjW1Nt0ZDQ0PcWPfeeFv9tzu9n3n5cvzk4U3pbZfGxqxLZnd/D5BRU+NDF5yYubjTYyHb6tR0ty9fH6fWnJw7mEhdd0y8a8pbc7QwVPXmKKWAh9xkvICYmiJAgAABAgQIECBAgAABAgQIECBAgEBlCeyNX7Zsbb9XwxHTzoi3Z3ZNGgiI3Ztj5R2PxM7XnozVn1oezZlgJa++dsVTP38ufeaxceLxo3u46vB4+xmT44j4Yfv4DlxQyLYOtNrzs3zqztXKUNWbq5bCHRNwFM5SSwQIECBAgAABAgQIECBAgAABAgQIEKgwgd/Hrhc73ediQAR2xuaGj8b59atie5/b/13sfD5z0+3RcdToP+ixpeGjj47khk8H32y7kG31WEbWCfnVnXVB+mnv6z24jeI7IuAovjlREQECRSIwbNiwIqlEGQQIECBAgAABAgQIECBAgEAxC+zfv7+YyyuD2nbGxiVzY9rSDembg3ce0sSYs/jvYspRh8ShE/80zm6pj4ldblPV+druXw8ffVQcnTilpfvT8nq3kG3l1WEFnCTgqIBJNkQCBAgQIECAAAECBAgQIECAAAECBIpf4KWXXoqRI0cWf6EdKvyDGH1UT1s9dbig1y/2bb4p5reHG2OiZsHlMbdmWlw4b1KOe1HsjW1dphGvizFvTN7zI7keY1e8uOv3EdUjuq1n79Yn47GcZxSyrZwdDODB/MY+gAUUrGk3GS8YpYYIECBAgAABAgQIECBAgAABAgQIECDQe4FksHHxxRfHEUccEZs3b+59A0N6xfA4cszoqErXsOfBh+Mn+7orKBFANJwTyZ0zkr9H1jXF3u5Oj5fjR/euS6+gqIpxC26Lexo/GQtzhhvJhrrbMmt0HH/isenenoufP9XT1lod7y/SscxCttWx5YF5dVy8e9rxvRh79k3JB6aiQrQq4CiEojYIECBAgAABAgQIECBAgAABAgQIECDQB4FkoHHCCSfEV7/61Vi6dGnqeR+a6fUlLS0tqTDla1/7Wjz3XObG271uJnHB8BjzrjPinZlLW9bFvT/K3OciczDrcd+WWLf2x+kDY+OcmhOjhzUUsevXu9vPn/6BM3Ks2shqf/eG+Lc7f551IPvp4XHq+2bFxNShHbFm6a2xubswZt+P4vbG5uwGsp4Xsq2sZgfs6R/GH08cnw6idsS6W9bGlm7H/tO4d1VXjgNWZK8bFnD0mswFBAgQIECAAAECBAgQIECAAAECBAgQ6J9ActXGNddcE5MnT041tGnTprjqqqsKukVVMjx54IEHoqGhIS6//PKYM2dOnHLKKamVE8lQJdn3/PnzU+FKv0ZTPTsWzEneijv588P4wt/fEBt35/r2vDW2rfpCLNuws+3UqjNj9jmZFRVth7r/7554ouXZyNVy6rrd34sl758fy7e3dtnM8FNnxnkT0+tNWhrj75d+LzLxSceLEvf9WPqP8YWWwWmrY98D8SoRRM28MOaPaxt764Zr4iM3/6wLy57HPhAV9qVNAUdf1FxDgAABAgQIECBAgAABAgQIECBAgACBPgokg4cpU6bE4sWL48Mf/nA8+eSTMWnSpF63llx5kWxr7dq1qRAjuc1VMsTIbP+UDDDOPvvsqK+vjxtuuCHV/mmnnRbLli2L2267LZKhyrPPPpsKVnrdeYcLjo2ZF8+Jceljrc1LYtr7PxYNTdsOfIG+e3OsXHJRnFN7e2xPnZfYbmr+hTFzzPAOLR384oh4Z82k9MqDnbGhfk6cv3RdbMtOOZJt31gXU970nljanA5PUg3ticeefKbjFljDJ8XHl12crnVnNC+dEafNXRIrN2eu2xe7N6+MJXNr4t3t9/04uKrUkUK21UUXBT08alp8vP49WZZnxdS6hmjalglxejH2ghbW98bcZLzvdq4kQIAAAQIECBAgQIAAAQIECBAgQIBA3gLJVRs33nhjKtg49thj4/7774/3vve93V6f3Epqz5498cgjj8Rvf/vb+MlPfhK7du2K73znOwdd9/a3vz3Gjx8fl112WRx33HFx0kknpe7r0Zfw5KDGuz0wPEZNXxwrFv80pqVDgdbm5VE/I/HbxXVVNVfGimtndL/dVOrazMqDe9IrM1pizZL3JX67aLjT4d//+sXULcXHtB9P1rooGhc8GDOWP5442hrb1yyN2uRv+zmZJyfF3yz441iz/N5UG5mjBx4L2daBVgfuWVVMuHRZ3Prw+6N2VfJO7ImAZ3l9wqGrWRq4SgrVsoCjUJLaIUCAAAECBAgQIECAAAECBAgQIECAQBcCyaBiwYIFqWAiuWrjS1/6Umo7qmTokVzBkQwxHn/88XjmmWfi6aefTgUaue6NcdZZZ8Xo0aNTqzCSXb373e9OhRgTJ7bdWaKL7gfh8Jg4/erV8d2jPhrn169Kr9LI1W1i5cac6+Lr/3JpTBrV0+qN9PWjZsS1K66Mn05bEs2ZxQa5mk6sTRg3JxFeXHxofGbGldGcOKf1py3xi8Rqj44LRY6J6TfdHfceOj/m3tSciDhy/UyM81bcFV8+6sZEwJHr/cyxQraVaXMAH4dPiHkr7kl0kAk5uuhr3EXxb4nco77+9i7CnS6uG+TDtqgaZHDdESBAgAABAgQIECBAgAABAgQIECBQWQLJe2Ak73nx4x//OLUl1W9+85v40Ic+lNpK6ogjjkjdCyOzldS///u/p3BmzpyZCjHuuuuu1FZSyQBk//798eCDD8aaNWti4cKFqd/k6oyhDzcy8zkmJi38emzbtSlWLFsUc9L3e2h7ty18uHn9T2PL6oX5hxupixMrJU5fHA89m6vdxAnj5sTiZbfE+q0vxrbVi2L62bNi7tT0mo2ubno+vDpmNWyIZzd9PZYtPrC9VqRCksRqlE3N8fV5ExK3UM/jp5Bt5dFdv09Jhhxf/3FsXX9LfGlBTXrLqrZWq2oWxJduXh9bt3wt5k08vN9dDXQDwxJ/KPYXopPkvm7JnwI1V4iStEGAAIF+CWT+XutXIy4mQIAAAQIECBAgQIAAAQIEyl6gq+9EkyswLrjggoO2k8psJZV8PPLIIwdxK6mynwoDLJjAvti5sjaOq12VWOFyRNQs2xgPLXxLwVrPfO/W1Z+dfDuyRVW+Us4jQIAAAQIECBAgQIAAAQIECBAgQIBALwSS99lYtGhRnHrqqXHnnXfGCy+8kLo6uVojuUKjp/tv9KIrpxLoQSA7sEisU5mzIp5ZPS8O3Juk8+X/E79o2ZrevuvweOOY13U+oSheW8FRFNOgCAIEilEgkyQXY21qIkCAAAECBAgQIECAAAECBIpHIN9/hf7AAw/EfffdF8ltqJKrO5IByF/91V8JO4pnKsu6kr1NdXF04sbve5KjrJoRyx69KxZOqMo55n1bGuLsU+pjQ/IGJVXnxYpnVsS8jjcyyXldvgcz37vl+2enq3YFHF3JOE6AQMULZP6irXgIAAQIECBAgAABAgQIECBAgEC3An35kjYZdiSDjq9+9auptoUd3RJ7sxACO1fG3ONqY03mrurJe5dc8w/x8XmTYlSm/d2bY+XX/i2Wf2p5+w3de17tkbk4/8fM9259+bOT3YuAI1vDcwIECGQJZP6izTrkKQECBAgQIECAAAECBAgQIEDgIIH+fEn70ksvxf333x/r1q1rDzs++MEPpm4kflBHDhDol0BrbGk4N06pX5/eeiqPxsZ9LNb/4EsxfVRet1vPo8G2UzLfu/Xnz06yJQFH3uROJECg0gQyf9FW2riNlwABAgQIECBAgAABAgQIEOidQH+/pM30lgk7kq9nz56dOeyRQAEFdsbmho/G+fWrYnsPrVbVXB6rb1sas6pzb2PVw+Xdvp353q2/f3YEHN0ye5MAgUoWyPxFW8kGxk6AAAECBAgQIECAAAECBAj0LNDfL2l77sEZBAorsG9bU3xl3UPxnWVfjDXbM3tWJfuYGHMW/12cdcafx0emV0dh120cGEPme7f+/tkRcBww9YwAAQIdBFasWNHhtRcECBAgQIAAAQIECBAgQIAAgVwCtbW1uQ47RoBAFwKFCjgO6aJ9hwkQIECAAAECBAgQIECAAAECBAgQIECAAAECRSsg4CjaqVEYAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0JWAgKMrGccJECBAgAABAgQIECBAgAABAgQIECBAgACBohUQcBTt1CiMAAECBAgQIECAAAECBAgQIECAAAECBAgQ6EpAwNGVjOMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA0QoIOIp2ahRGgAABAgQIECBAgAABAgQIECBAgAABAgQIdCUg4OhKxnECBAgQIECAAAECBAgQIECAAAECBAgQIECgaAUEHEU7NQojQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEuhIQcHQl4zgBAgQIECBAgAABAgQIECBAgAABAgQIECBQtAICjqKdGoURIECAAAECBAgQIECAAAECBAgQIECAAAECXQkIOLqScZwAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoWgEBR9FOjcIIECBAgAABAgQIECBAgAABAgQIECBAgACBrgQEHF3JOE6AAAECBAgQIECAAAECBAgQIECAAAECBAgUrcChRVuZwggQIFBJAi9vj4ebfxg/aLovNv1qb3rkI+INk2fG9NPeGTVnjIvDu/F47YXH4sFHW+LnHa6PGDHh7PjLd50QE2omx7jDu8q0n4umpUviji2tERMujBsW/2m8bntzrL7z3+P+LS+lek22c95fzIw/PfmY6NBKqu7HY8v3/6v93OQFqX7PODXeMe3kOKbDBd0MwlsECBAgQIAAAQIECBAgQIAAAQIEeiEg4OgFllMJECBQeIGXYnvT1+LLd2yMXx3U+N741aa7447E76r7PxifuuwDMb5zSPHaC/HonV+Jhm9tiUwskt3M3i33x52J31g1Ic5Z+JG44JROAUX2yenn+5//dtz4mTviiawG9275QbT87v0xvf38vfHCo9+IrzSsiy1Z52XezvR753+dHhd+9K9j+riRmbc8EiBAgAABAgQIECBAgAABAgQIECiIgH9XWxBGjRAgQKAvAi/F1m80xGdyhhsd29u75Rvxzzd+O55/Lev4a8/Hw43Xx/VdhBtZZ0bs3RLfuv6f4rNN/zeym+hwTvLFaz+P/7hhVYdwI3XOiBPitLe9Pn363ni+6cb4x+tzhxvpk9oefrUx7vhMQ3xja9tKkA7veUGAAAECBAgQIECAAAECBAgQIECgHwJWcPQDz6UECBDou8Br8fJja6Nx7RPtKy8O2gYqsf1T8+o741/vb1udsfeJb8ZXv31S/OP0P0psE5UIGb59e9y6cUd7CQddn1jd8diD34sN/5XZ9uqleOKOL8ftY/8x5p98ZPt1HZ5s/WFsShwYMWFWLPzIB+OUY0YkXiVWa2z/VbxuZDITT9b99fj8HY+l627bRuvPpp4Z09q3r0qc/1hzNG+4L9ZuStS394lY27g2jr/mgji58wqUDp17QYAAAQIECBAgQIAAAQIECBAgQCB/ASs48rdyJgECBAoo8Jv4yYZN7dtSjZiQ3ILqopjeHhIkujp8XNTMvzL++cKTIxkzRCQCivu/H08nl2C89IP4j1VZIcPpfxef/fT8jtcfckycfPbcWHjNP8TsCZktov5vfO8/N3ZcCZJqO+s/I06Piz9xXjrcSB4fEceM+6O2e4C89lw0/+cj6bpHxlsuXBrXL5wbZ2fXnTz/5GnxwYWL459mv6Wt9l9tiDvWb+9+9UhWCZ4SIECAAAECBAgQIECAAAECBAgQ6ElAwNGTkPcJECAwEAIvPRk/ePQ36Zb/OGZd8GcH318j9e6IeOMZNXFKW8IRsePR+PHTrfHST38Uj2buffGGqTH/Q2d0fTPvw0+I2X/7F/GWdBt7n2iO/376/3U5qqozz4zJqdUaB5/y2tPfj/ufSN94fPKFsTC1muTg89qOjIzxs8+LWWPbVoHs2PiTtnCmq9MdJ0CAAAECBAgQIECAAAECBAgQINALAVtU9QLLqQQIECiUwKu/2BI/zQQUY0+Jd7z5f3Xd9MgzYuG/npH1/svx2Pe2t28RNfZPzoi39rD10yFvnBRnnfKf8cSmZKiyO559/uWIcbn6fH28bcIfRe7/cUhsT/X8jngxVcnr45TTTojMupCs4jo+PWRsHH9S4t4dOxK3UN/xVDz161dj3DG5W+94oVcECBAgQIAAAQIECBAgQIAAAQIEuhfwLVP3Pt4lQIDAAAi8Gi/ueD5a0y1XnXR8HNer9XS/jR3PZG7a/fo46fixiXty9PRzRFRP/KOIVMDxSvxyx67EdlGjc1w3Io54Xa7gI9l+a/xiSyZY+U1salwYFzT21G/2+7+KHS8kVo4IOLJRPCdAgAABAgQIECBAgAABAgQIEOijQM/fifWxYZcRIECAQFcC++Ll3yVWUBTk5w0x9piuAomuOtgbv3nplSG4H8be2PO7rrfG6qpaxwkQIECAAAECBAgQIECAAAECBAjkEhBw5FJxjAABAgQGQOD/JYKV/xmAdjVJgAABAgQIECBAgAABAgQIECBQiQK2qKrEWTdmAgSGWGB4HP66wwtUQ77bPmWvGhkRrx95WI7tqXpT0hvi7H+4JuafXKhx9KZv5xIgQIAAAQIECBAgQIAAAQIECBCIfn6/RZAAAQIE+iBwSBw28nUxIn1l6+NPxTOvddfMq/FC03VxwQUXpH4vue3pOPq4zO29fxOPP7Ujj+2mXo7nn92d7uSw+N9jc91/o7saku/9rzhm7BvSJ+Xbb09tep8AAQIECBAgQIAAAQIECBAgQIBA3wRsUdU3N1cRIECgHwKHxMjq4+PNmRZ2PBo/frqbe1O89nw8+oP/L3326+NtE46P4yeMSwcke2PHfz8cP3u524QkXnt+c3zn0d+k2xgVb3pjX1ZeHBpHH398jE21kl+/mSF6JECAAAECBAgQIECAAAECBAgQIFBoAQFHoUW1R4AAgXwEjpkUZ09+ffrMX8S6O/8rtuYMKfbGCxvvjaYnXmo7d8QJcdrbjoqRbzs1TsksAfnVhrjt3x6OF7rKOF5+Mtb+yzfjib3pJt5SE3/y5t7emLzt2kPe/PY4fWy64576TV7y8qNx29//Tdvqk7/5fDQ9ny6irTn/JUCAAAECBAgQIECAAAECBAgQINBnAQFHn+lcSIAAgf4IvD7ePnVyZDZ82rvlG/HPN9weTY+9cGC7qZe3x8Pf+D/xucbm+FWqqxHxhjNr4u0jE391jzwt/vK8k9tXcfxq4/+Jf/zMbR2vf+2FeOz+1dFw1edj7ZZ0QBJ/FGf++enxxr7+7X/IuJhx4dR03Xsj0+/6h7fHy9kcydqbkn03xP2/SoYaydrPiZo3ZlKZ7JM9J0CAAAECBAgQIECAAAECBAgQINB7ATcZ772ZKwgQIFAAgUPi8JNnR93sX8Y/r30ikhHA3i33xx2fT/x20fqICX8edXNPjrbNpUbEG//0orj4qRuiceOO1BU9XZ9IRWLC7Pkx9+Qju+ghn8O5674zUfudjd1c/4apMb+99m7O8xYBAgQIECBAgAABAgQIECBAgACBPAX6+m9482zeaQQIECDQtcDIGP/BhfHpC09vX8mR+9zE6ofJF8anL/tAjD8866/tQ94YZ9RdHpefM6H9huW5r08cHTEhzrn8n+LTHzwhHZB0eWYeb+Rbd7KpttqXXnNBnJxdex69OIUAAQIECBAgQIAAAQIECBAgQIBAdwJWcHSn4z0CBAgMuMDIGDf9o/HFmj+Lh5t/GD9oui82pbZ0SnacDAdmxp9NPTOmnXxMZEUbB6o65Jg45aLFcev0x+LBR1vi5zmun37ixDhl2slxTM4GDjTVu2fZdT8eW77/X3F/+zZYyZbGxuTZ740Tj39H17X3rkNnEyBAgAABAgQIECBAgAABAgQIEOggMGx/4qfDkT6+GDZsWOrKAjXXxypcRoAAgcIJrFixonCNaYkAAQIECBAgQIAAAQIECBAoW4Ha2tqyHZuBERgIgULlCQX997wDMVBtEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQ6Cwg4Oot4TYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBS9gICj6KdIgQQIECBAgAABAgQIECBAgAABAgQIECBAgEBnAQFHZxGvCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgaIXEHAU/RQpkAABAgQIECBAgAABAgQIECBAgAABAgQIEOgsIODoLOI1AQIECBAgQIAAAQIECBAgQIAAAQIECBAgUPQCAo6inyIFEiBAgAABAgQIECBAgAABAgQIECBAgAABAp0FBBydRbwmQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEil5AwFH0U6RAAgQIECBAgAABAgQIECBAgAABAgQIECBAoLOAgKOziNcECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA0QsIOIp+ihRIgAABAgQIECBAgAABAgQIECBAgAABAgQIdBYQcHQW8ZoAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoegEBR9FPkQIJECBAgAABAgQIECBAgAABAgQIECBAgACBzgICjs4iXhMgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJFLyDgKPopUiABAgQIECBAgAABAgQIECBAgAABAgQIECDQWUDA0VnEawIECBAgQIAAAQIECBAgQIAAAQIECBAoE4EnomHKkTFs2LDE7znRsG1viY9rdzTVVafHUx11TbtLfDz9K1/A0T8/VxMgQIAAAQIECBAgQIAAAQIECBAgQIBA7IzNdyyMKWc1xDYaBAZJQMAxSNC6IUCAAAECBAgQIECAAAECBAgQIECAQFkK7P5eLJnylph80U3R/GpZjtCgilTg0CKtS1kECBAgQIAAAQIECBAgQIAAAQIECBAgUAoCux6NB5t3lkKlZVDjqJjeuC32N5bBUAowBCs4CoCoCQIECBAgQIAAAQIECBAgQIAAAQIECBAgQGBwBQQcg+utNwIECBAgQIAAAQIECBAgQIAAAQIECBAgQKAAAgKOAiBqggABAgQIECBAgAABAgQIECBAgAABAgQIEBhcAQHH4HrrjQABAgQIECBAgAABAgQIECBAgAABAhG7N8fKhk/H3OrDYtiwYenfw6J67qejYeXm2J2PUaqNz0XdlKOz2hgWh02pixsbm2Lbvu4aeSIaphyZvu6caNi2N3Hyzti8siGWzD3h4PZy1LS3qS6OTNY+vj6aM10118f4zHimNMS2zPHI6i91fF+C4LYOtSfrbmjaFh3LTtbUGA1L5kZ1pt32x6NjSt3noqHHsbYX0c8n/ahl38+i4azMPB0dZzX8rNM4s0t7IZrq3to+B4ed1RBb2lF2J96rTr9XHXVNuT4prbGt6dYcZunP16B5ZY9pYJ4LOAbGVasECBAgQIAAAQIECBAgQIAAAQIECBDIIZD4krzh/KgePTlq66+NNdtbs85pje1rro362snxpilLY+Pu9m+1s85JPk18gb3uipjypmQbV8byTjf4bm1eHp+4dEaMn3B+NGzO8+bfu74XS6a8JSbX1sfSNS0d+ku112NNHS7p8cW+LTfHue/5UIfaW5u/GQ+9OCKGp65OBiANiQDouERNl0b90jWx/aBWd0bz8iujPjXWv46V27ItDzq5HwcKUMvwt8alX7kqplYly9gZG668Im7ekqveRF9N10bd8sfb6q2aEdd95ZKY0IbS8xh2b4yGue+I8TMuyWGW/nwlvUaeFUs25vnZ6LnXITtDwDFk9DomQIAAAQIECBAgQIAAAQIECBAgQKCyBHbGxsRKhPfUr8rxZX1HidbmJTHt3Juz/uV+5v3W2NJwbrztfddHc67vxzOnJR+3r4r698zN44vsn8Wy8z8YSzsFJdlNJZ+navrbVYmv5/v58+qDsej9V8aGzvVXnRmzzzk21XhbAFLfKQDqpt/tt0ftrOtic1eZUDeX9vRWoWoZPuGS+Mp1MyKVcbSujys/csvB87t7fSyquzX9+RgTU6/7Qlw6IXVFT2Um3k+s/Fh0cdR3CqhyXti6IZZOuzAacoYsOa8oyoMCjqKcFkURIECAAAECBAgQIECAAAECBAgQIFBeAsl/mb80apduSKy/aPupqlkQy9ZvjVf374/9yd9dm+L2BTVtX4AnTmndcE185ObsrYySbXwyZtavT7dRFePmLIqbs9vY/0psXf+VWDxnYlsnyS+ya5dGU5erQZKn7Yjt2/ckHifGnMUrYtOuV9vqSbX1mZgz7sAX7K1rvhg3bX451faI6Y3x22TdW5dFTepI4j81y2JrZjwPLYzqzPHsx413x5qW1qiquTzu3frKgb6+++mYOSa5VOGXsWrRde0BSNLpSys2xa5Mu+nHV7euj5sXz4lxmbZb1sW9P2qrLXOo/4+FrKUqJlz6hbhu6phUWQfPbzKg+GQsT63qScztgtviroVvTa9o6Xkk+zY3Rn37yo+aWLBsfWx9Nf3ZSpn9OjatWHxgPlu/G40rftLNVlk99znUZwg4hnoG9E+AAAECBAgQIECAAAECBAgQIECAQAUIPBf33Xpgm6WqmqvjwXtuioXTqw98gT1qUlzY+K14dFn6X/kntzJqXB0/yqxK2PdE3HHdvx/41/3LNsWW1Z+Juuw2EvFI9fS/jatXN8cji6e2hSXbb436Gzd3/0V21dRY/EhzrL56XkwaldkPKdnWolj9/VtjTnvG8Vz8/Kld/Z+vqvPi1rXXxazqTMOJvia9NUYlW975UKxdt6Otj3Efi7UJp4/Pm9T2XlbPw6unR93VX47GBSeljxaotqw+Cl5Ll1tVddqaatzF0XjtjIPGnF1ax+d74+lHHom2zcWqYuIVX4ibFk6P6sxUpk4eE5PmXR1fv++69FZZrdGy6r4Dn6+ODZbEKwFHSUyTIgkQIECAAAECBAgQIECAAAECBAgQKGmB7C/t451xxRcvi9Pbg4TskSX+lf+8C2NW5nv/rFUJ+360Oho3tG0QVTVnWazu9l/3j4nTF382rpiYbKinL7ITqwXmXx4fP71tZUF2NannY6bE7Flj04dfjud3/u6gU3p74Ij5H4o5qdUaOa4cMy9Wv5JeebCtIabndMpcNyrGn9C2rVVEYWrLtJx6HIBahk+4NO5a+7G2lSeZrap2Zm9NdVIsaFzUw7g7VHnQi9+3PBVPZ4KxTu8On7AwvpPxffLqmNQhBOl0cpG/PLTI61MeAQIECBAgQIAAAQIECBAgQIAAAQIESl5g7w+b41uZvakmzor3nXp412NKfak+r9P7iX/h/1RLPJM6OjZmzZ4SXcQRB64bPjHOmJYIJloSt+dueSQeeXpvTKoeceD99mevj1NrTu5mtcAx8a4pb41Yk15V0X5dX5+MjXNqToxcleTXYuIm600rYl3LK/Hak6vjU8ub87tsQM7qSy3DY1RiZUzjggdjRmJLqdYNV8XMdx2e2CYs+QFJbk31ubh2+jG9rHZEvPnd705sMvbtxCqOxM3EV10U4zffE4vrp8RRh06MWR/pvJqjl80X6ekCjiKdGGURIECAAAECBAgQIECAAAECBAgQIFAuAnvjly1bI3mXi+TPEdPOiLf3+l/N74kfNm9O33tjR6ypPS6G1ba1l99/t8WTWxP3p8gZcBwbJx4/Or9mCnJWVRx91Ovya2n35lh5xyOx87UnY/Wnlvd8Y/X8Wu3bWQWt5ZiYfu3nYkHT3MQ9N/ak74GSKKvXW1MdGMrwU+dG3dTEfTjSq3xi+5pYWr8mdUL9pcm25yQCj7Ni4rv/MuZN6jEeO9BwET8TcBTx5CiNAAECBAgQIECAAAECBAgQIECAAIFyEPh97HqxAPet6BdFa/z6xeTWUqm7XHRqaXQcNfoPOh0b6pc7Y3PDR+P8+lXpe44MZT0DVMuoGbH0mvfHbbWr0sHV2JhzzRV935oqcX+PhXd9I158/wdjaXPbVmYd1NoDj0ujNhl2XPMPOe9t0uGaIn8h4CjyCVIeAQJDI/C1r30t5s+fn3fnd955Z97ndnXiBRdc0NVbfTqupvzYOOXnlDyrv1aF/oyXa03JcRXaqr9zp6akQH4/5m5onJK99vdzXui5K0RNyTYKXVd/ndSUFMjvx9wNjVOy1/5+zgs9d+VaU3Jchbbq79ypKSmQ34+5K7xTbW2vllLkV0DBzxqA+1MUvMZMgztj45K5MW3phvQX/5njmceJMWfx38WUow6JQyf+aZzdUh8T67+debPAjwNYS+Km8StveSBrjDti3S1rY8t5C2NCr1f4pIc96sy4+qFn4qLEFl7/effXUtt3ZXZG6wCTDDtq18WdzavjB42zcsZeHc4v0hduMl6kE6MsAgSGTuDyyy/vVbgxdJXquVwFCv3/bJSrU7mOy/yX68yWz7h8RgdvLlkPnrWeCBDovYC/o3pv5orBFSi+z+gfxOijCrkF1LhYsH5X7N+fvhF3Xo+/jYcWvmVwJ6KPve3bfFPMbw83xkTNguti2YpNsat9nIntqq7+eCxcuDDqpldHX7OAfMobuFpaY8vNV8SVme2k0sW0brgmPnLzz6KL+4PnU3LinKqonn5xfLzxoXhl/yuxdf0tsWzZdbGgpvO2VIl7dSz/ZCxqeiHPdovvNCs4im9OVESAwBAKJMONG264IS677LJ4xzveMaiVFOJfKxW6YDXlJ8qJU34C+Z1VjJ+nZOXFWJeaSvczZe5Kd+78fZDf3HHilL9Afmf6ezM/p+RZrPKz4jQUTsPjyDGjE187R+pf6+958OH4yb7pManLb+b3xraG98X49KqEIxasj183nhXjT6hOtJC4YXjsiAcfbol9008f0C/385Mq9Fkvx4/uXZe4UXbyJ3nD7dvinm5XGAzk9l8DV8u+LbfER65c37Z6o2pGLHvw4niy9sLE/Th2xoYrr4ibZ9wVCyckPzH9/WkLOxZOT7Sz8JPRGInttlbeFJ+/6guxJnVT8+2Jz9IvEp+lY0rys2QFR38/H64nQKBsBLLDjeuvv75sxmUgBAgQIECAAAECBAgQIECAwFALDI8x7zoj3pkpo2Vd3PujxA2/u/rZtyXWrf1x+t2xcU7NiTEi8X9vfve7Y2LqaGu03Lky7t/dv3/n31X3Q3t8b+z69e72sU//wBndb5+0e0P8250/H6CSB6iWfT+Lmz9yTWxI7R01JqZe94W49PS/iGsbL45xyZG0ro8rP3JLbOnV9D4RDVOOjGHDhsWww86PlTu7unhMTJp3daxonB9HpNRaY8evf9vPFSMDxJ9HswKOPJCcQoBA+QsIN8p/jo2QAAECBAgQIECAAAECBAgMqUD17FgwZ2y6hB/GF/7+htiYM6BojW2rvhDLMlsXVZ0Zs885NnXd8FNnxnkT0/+qf/utUbdgZWzr6nvs5BW710Vd9WHpL71nRsOWnHdjSNdUjA974omWZ7v+8n3392LJ++cnVj0MxrgKVUvHramqpl4VX7n0rYnVE8Nj1PRF0bjgpNRE9H6rquPi3dOOb5vE1nviqsXrIxMTHTyzrfF0yy/i96k3qmLs0UeW5OqNZPkCjoNn1xECBCpMQLhRYRNuuAQIECBAgAABAgQIECBAYEgEjo2ZF89p+xf6if5bm5fEtPd/LBqath34An/35li55KI4p/b21EZUqS2a5l8YM8ek97IaPik+viz9r/wTmxttX3VRvG1qXdy4cnPHL7OT7TR8OuaeNjf95X9iq6f5H40LC7LlUQ94P7wv1vUrSDki3lkzKbWdVyS2U9pQPyfOX7quY5CTHN+NdTHlTe+Jpc07swraE489+UzszTrSv6eFr6Xz1lTXfeWSrBuKHxPTr/1cLBiXDLGSW1V9LJZuzB5fd6M5PE6tvSimpvKv5L015sZpcz8djdmfr8Tl+7Y1RWPiMzazPr09VpwY573vbQKO7mi9R4AAgWIVEG4U68yoiwABAgQIECBAgAABAgQIlJtA8l/oL44Vi6emv7xPhhzLo37G+Dg0ua1Q8nf05KhduiYdbiTijZorY8W1M7K2aMrdxidqJ8foTBuZduqvTd9jIeE47uJo7NBOgW2PHBNvTC8sSW6vVD8xvWpkSkNs63VXie28Zl4Y81Nf8icvbok1SxL3Izk0bZQZ3yeWR3OOhRu///WLsafXfXZ1QYFrSayo+djMKztuTdU5dBo1I2urqg2xtHZpNOVc6XNwzcMnzIvPXpH5fCVCjjXXxqXZn6+E3aHjZ8Sl7Z+xxA3cF38xPj7p8IMbK5EjVnCUyEQpkwCBwgsINwpvqkUCBAgQIECAAAECBAgQIECgO4ExcfrVq+O7y85rX8mR++zEios5y+K79yyK00d1vhN5vm0kW25rZ9MPvhTTD2ond899OjrmvXHx/LatlTpc/9iTsbUvyymSX/KvuDJqMqFJh0azXyTH95lYv/66qEkfbv1pS/yiu227si/P53nBankhmhZ9sn07rQNbU3UuouNWVZHcimxRd9tNZV+f+GwsvjVWf6ymPUTLfrfj80S48bF/idsWn5kVoHU8oxReCThKYZbUSIBAwQWEGwUn1SABAgQIECBAgAABAgQIECCQl0DiJs8Lvx7bdm2KFcsWxZz2lQrJi5Nf2C+Km9f/NLasXhiTugwlstu4LhbUjOnU88SYs/hLebTT6bI+v0xsrXTT3bF+2YKOocTvd8WLe/qSNiS+5D99cTz0bC6jRJHj5sTiZbfE+q0vxrbVi2L62bNi7tS0QU83cO/1GAtRy77Y3XRt1C1/vK33qhnRcWuqzkVlb1WV3G7qk7Go6YXOJ+V+Pbw6ZjVsiGc3fT2WfanTfCSvaLd7Jh5qmB3VnfOz3K0W7dFh+xM/haguuYQq+VOg5gpRkjYIECCQUyDfcGPFihU5r3eQAAECBAgQIECAAAECBAgQIJAtUFtbm/3ScwIEehAoVJ5gBUcP0N4mQKC8BPINN8pr1EZDgAABAgQIECBAgAABAgQIECBAoPwEBBzlN6dGRIBAFwLCjS5gHCZAgAABAgQIECBAgAABAgQIECBQggICjhKcNCUTINB7gUy4cdZZZ8WSJUt634ArCBAgQIAAAQIECBAgQIAAAQIECBAoKgEBR1FNh2IIEBgIgexw4+67746RI0cORDfaJECAAAECBAgQIECAAAECBAgQIEBgEAUEHIOIrSsCBAZfQLgx+OZ6JECAAAECBAgQIECAAAECBAgQIDAYAgKOwVDWBwECQyKwdu3auOGGGyK5LZWVG0MyBTolQIAAAQIECBAgQIAAAQIECBAgMGACAo4Bo9UwAQJDKZAMN84991zhxlBOgr4JECBAgAABAgQIECBAgAABAgQIDKCAgGMAcTVNgMDQCAg3hsZdrwQIECBAgAABAgQIECBAgAABAgQGU0DAMZja+iJAYMAFhBsDTqwDAgQIECBAgAABAgQIECBAgAABAkUhIOAoimlQBAEChRAQbhRCURsECBAgQIAAAQIECBAgQIAAAQIESkNAwFEa86RKAgR6EBBu9ADkbQIECBAgQIAAAQIECBAgQIAAAQJlJiDgKLMJNRwClSgg3KjEWTdmAgQIECBAgAABAgQIECBAgACBShcQcFT6J8D4CZS4gHCjxCdQ+QQIECBAgAABAgQIECBAgAABAgT6KCDg6COcywgQGHoB4cbQz4EKCBAgQIAAAQIECBAgQIAAAQIECAyVgIBjqOT1S4BAvwSEG/3iczEBAgQIECBAgAABAgQIECBAgACBkhcQcJT8FBoAgcoTEG5U3pwbMQECBAgQIECAAAECBAgQIECAAIHOAgKOziJeEyBQ1ALCjaKeHsURIECAAAECBAgQIECAAAECBAgQGDQBAcegUeuIAIH+Cgg3+ivoegIECBAgQIAAAQIECBAgQIAAAQLlIyDgKJ+5NBICZS0g3Cjr6TU4AgQIECBAgAABAgQIECBAgAABAr0WEHD0mswFBAgMtoBwY7DF9UeAAAECBAgQIECAAAECBAgQIECg+AUEHMU/RyokUNECwo2Knn6DJ0CAAAECBAgQIECAAAECBAgQINClgICjSxpvECAw1ALCjaGeAf0TIECAAAECBAgQIECAAAECBAgQKF4BAUfxzo3KCFS0gHCjoqff4AkQIECAAAECBAgQIECAAAECBAj0KCDg6JHICQQIDLaAcGOwxfVHgAABAgQIECBAgAABAgQIECBAoPQEBBylN2cqJlDWAsKNsp5egyNAgAABAgQIECBAgAABAgQIECBQMAEBR8EoNUSAQH8FhBv9FXQ9AQIECBAgQIAAAQIECBAgQIAAgcoREHBUzlwbKYGiFhBuFPX0KI4AAQIECBAgQIAAAQIECBAgQIBA0QkIOIpuShREoPIEhBuVN+dGTIAAAQIECBAgQIAAAQIECBAgQKC/AgKO/gq6ngCBfgkIN/rF52ICBAgQIECAAAECBAgQIECAAAECFSsg4KjYqTdwAkMvINwY+jlQAQECBAgQIECAAAECBAgQIECAAIFSFRBwlOrMqZtAiQsIN0p8ApVPgAABAgQIECBAgAABAgQIECBAYIgFBBxDPAG6J1CJAsKNSpx1YyZAgAABAgQIECBAgAABAgQIECBQWAEBR2E9tUaAQA8Cwo0egLxNgAABAgQIECBAgAABAgQIECBAgEBeAgKOvJicRIBAIQSEG4VQ1AYBAgQIECBAgAABAgQIECBAgAABAkkBAYfPAQECgyIg3BgUZp0QIECAAJNfAckAACp2SURBVAECBAgQIECAAAECBAgQqBgBAUfFTLWBEhg6AeHG0NnrmQABAgQIECBAgAABAgQIECBAgEC5Cgg4ynVmjYtAkQgIN4pkIpRBgAABAgQIECBAgAABAgQIECBAoMwEBBxlNqGGQ6CYBIQbxTQbaiFAgAABAgQIECBAgAABAgQIECBQXgICjvKaT6MhUDQCwo2imQqFECBAgAABAgQIECBAgAABAgQIEChLAQFHWU6rQREYWgHhxtD6650AAQIECBAgQIAAAQIECBAgQIBAJQgIOCphlo2RwCAKCDcGEVtXBAgQIECAAAECBAgQIECAAAECBCpYQMBRwZNv6AQKLSDcKLSo9ggQIECAAAECBAgQIECAAAECBAgQ6EpAwNGVjOMECPRKQLjRKy4nEyBAgAABAgQIECBAgAABAgQIECDQTwEBRz8BXU6AQIRww6eAAAECBAgQIECAAAECBAgQIECAAIHBFhBwDLa4/giUmYBwo8wm1HAIECBAgAABAgQIECBAgAABAgQIlIiAgKNEJkqZBIpRQLhRjLOiJgIECBAgQIAAAQIECBAgQIAAAQKVISDgqIx5NkoCBRcQbhScVIMECBAgQIAAAQIECBAgQIAAAQIECPRCQMDRCyynEiDQJiDc8EkgQIAAAQIECBAgQIAAAQIECBAgQGCoBQQcQz0D+idQYgLCjRKbMOUSIECAAAECBAgQIECAAAECBAgQKFMBAUeZTqxhERgIAeHGQKhqkwABAgQIECBAgAABAgQIECBAgACBvggIOPqi5hoCFSgg3KjASTdkAgQIECBAgAABAgQIECBAgAABAkUsIOAo4slRGoFiERBuFMtMqIMAAQIECBAgQIAAAQIECBAgQIAAgYyAgCMj4ZEAgZwCK1eujHPPPTfOOuusuPvuu2PkyJE5z3OQAAECBAgQIECAAAECBAgQIECAAAECgykg4BhMbX0RKBGBl156KZKrNpKhRm1tbYwaNUq4USJzp0wCBAgQIECAAAECBAgQIECAAAEClSJwaKUM1DgJEOhe4Lnnnotvf/vbccstt8R///d/dzj5s5/9rJUbHUS8IECAAAECBAgQIECAAAECBAgQIEBgqAWG7U/8FKKIYcOGpZopUHOFKEkbBAj0INDS0hIbN27MGWpkX7pnz56KDDgyf69lW3hOgAABAgQIECBAgAABAgQIEOgs4DvRziJeE+heIPO9W3//7FjB0b2zdwmUnUAy1PiP//iPWLFiRSSf9/Rz0UUXVWS40ZOL9wkQIECAAAECBAgQIECAAAECBAgQGFoBAcfQ+uudwKAIPPDAA3HffffFPffcE0899VSv+vyLv/iLXp3vZAIECBAgQIAAAQIECBAgQIAAAQIECAyGgC2qBkNZHwQGWSB5k/BNmzalQo3bbrstXnzxxT5XUKnbUyXBMkvl+oznQgIECBAgQIAAAQIECBAgQKAiBPq7zU5FIBkkgSyBzPdu/f2zYwVHFqqnBEpZIBlq3H///fHNb34zbr/99n4PZfjw4VFXV2d7qn5LaoAAAQIECBAgQIAAAQIECBAgQIAAgYEQEHAMhKo2CQyyQDLcOOGEE+K5554rWM/79u2LD3zgAwVrT0MECBAgQIAAAQIECBAgQIAAAQIECBAopIAtqgqpqS0CQyiQvGF4MuQo1M9RRx0VO3fuLFRzJdlOZqlcSRavaAIECBAgQIAAAQIECBAgQGDQBPq7zc6gFaojAkUikPnerb9/dg4pkvEogwCBfgpMnDgx7rrrrn62cuDy+fPnH3jhGQECBAgQIECAAAECBAgQIECAAAECBIpMQMBRZBOiHAL9EZg9e3bBQo6ZM2f2pxTXEiBAgAABAgQIECBAgAABAgQIECBAYEAFbFE1oLwaJzA0AmvXro1zzz23z50ff/zxsWXLlj5fXy4XZpbKlct4jIMAAQIECBAgQIAAAQIECBAYGIH+brMzMFVplUDxCmS+d+vvnx0rOIp3jlVGoM8C/V3JceGFF/a5bxcSIECAAAECBAgQIECAAAECBAgQIEBgMAQEHIOhrA8CQyDQn5DjL//yL4egYl0SIECAAAECBAgQIECAAAECBAgQIEAgfwEBR/5WziRQcgJ9CTmSNytP/vohQIAAAQIECBAgQIAAAQIECBAgQIBAMQsIOIp5dtRGoAACJ554YowePTrvlmpra/M+14kECBAgQIAAAQIECBAgQIAAAQIECBAYKgEBx1DJ65fAIAi0tLTEtGnT4g//8A/jpptuyqvHD3/4w3md5yQCBAgQIECAAAECBAgQIECAAAECBAgMpcChQ9m5vgkQGDiBTLiR7OHBBx9MbTu1e/fuWLx4cZed/smf/Ekce+yxXb7vDQIECBAgQIAAAQIECBAgQIAAAQIECBSLgICjWGZCHQQKKJAr3Eg2f9VVV8Vvf/vbuOGGG3L2dskll+Q8XqkH9+/fX6lDN24CBAgQIECAAAECBAgQIECAAAECRS8wLPEFXkG+wRs2bFhqsAVqrujhFEigWAW6Cjey67388stzhhzPPvusFRzZUJ4TIECAAAECBAgQIECAAAECBAgQIFBwgULlCe7BUfCp0SCBoRPIJ9xIVnf99dfHZZdd1qFQ21N14PCCAAECBAgQIECAAAECBAgQIECAAIEiFxBwFPkEKY9AvgL5hhuZ9jqHHJ0Dj8x5HgkQIECAAAECBAgQIECAAAECBAgQIFCMAraoKsZZUROBXgr0NtzIbn7hwoVx0003xZ49e2LkyJHZb3lOgAABAgQIECBAgAABAgQIECBAgACBggsUaosqAUfBp0aDBAZXoD/hRqbSBx54IN773vdmXnokQIAAAQIECBAgQIAAAQIECBAgQIDAgAkIOAaMVsMESkegEOFG6YxWpQQIECBAgAABAgQIECBAgAABAgQIlINAoQIO9+Aoh0+DMVSkgHCjIqfdoAkQIECAAAECBAgQIECAAAECBAgQSAsIOHwUCJSggHCjBCdNyQQIECBAgAABAgQIECBAgAABAgQIFFRAwFFQTo0RGHgB4cbAG+uBAAECBAgQIECAAAECBAgQIECAAIHiFxBwFP8cqZBAu4Bwo53CEwIECBAgQIAAAQIECBAgQIAAAQIEKlxAwFHhHwDDLx0B4UbpzJVKCRAgQIAAAQIECBAgQIAAAQIECBAYeAEBx8Ab64FAvwWEG/0m1AABAgQIECBAgAABAgQIECBAgAABAmUmIOAoswk1nPITEG6U35waEQECBAgQIECAAAECBAgQIECAAAEC/RcQcPTfUAsEBkxAuDFgtBomQIAAAQIECBAgQIAAAQIECBAgQKDEBQQcJT6Byi9fAeFG+c6tkREgQIAAAQIECBAgQIAAAQIECBAg0H8BAUf/DbVAoOACwo2Ck2qQAAECBAgQIECAAAECBAgQIECAAIEyExBwlNmEGk7pCwg3Sn8OjYAAAQIECBAgQIAAAQIECBAgQIAAgYEXEHAMvLEeCOQtINzIm8qJBAgQIECAAAECBAgQIECAAAECBAhUuICAo8I/AIZfPALCjeKZC5UQIECAAAECBAgQIECAAAECBAgQIFD8AgKO4p8jFVaAgHCjAibZEAkQIECAAAECBAgQIECAAAECBAgQKKiAgKOgnBoj0HsB4UbvzVxBgAABAgQIECBAgAABAgQIECBAgAABAYfPAIEhFBBuDCG+rgkQIECAAAECBAgQIECAAAECBAgQKGkBAUdJT5/iS1lAuFHKs6d2AgQIECBAgAABAgQIECBAgAABAgSGWkDAMdQzoP+KFBBuVOS0GzQBAgQIECBAgAABAgQIECBAgAABAgUUEHAUEFNTBPIREG7ko+QcAgQIECBAgAABAgQIECBAgAABAgQIdC8g4Ojex7sECiog3Cgop8YIECBAgAABAgQIECBAgAABAgQIEKhgAQFHBU++oQ+ugHBjcL31RoAAAQIECBAgQIAAAQIECBAgQIBAeQsIOMp7fo2uSASEG0UyEcogQIAAAQIECBAgQIAAAQIECBAgQKBsBAQcZTOVBlKsAsKNYp0ZdREgQIAAAQIECBAgQIAAAQIECBAgUMoCAo5Snj21F72AcKPop0iBBAgQIECAAAECBAgQIECAAAECBAiUqICAo0QnTtnFLyDcKP45UiEBAgQIECBAgAABAgQIECBAgAABAqUrIOAo3blTeRELCDeKeHKURoAAAQIECBAgQIAAAQIECBAgQIBAWQgIOMpiGg2imASEG8U0G2ohQIAAAQIECBAgQIAAAQIECBAgQKBcBQQc5TqzxjUkAsKNIWHXKQECBAgQIECAAAECBAgQIECAAAECFSgg4KjASTfkgREQbgyMq1YJECBAgAABAgQIECBAgAABAgQIECCQS0DAkUvFMQK9FBBu9BLM6QQIECBAgAABAgQIECBAgAABAgQIEOingICjn4AuJyDc8BkgQIAAAQIECBAgQIAAAQIECBAgQIDA4AsIOAbfXI9lJCDcKKPJNBQCBAgQIECAAAECBAgQIECAAAECBEpKQMBRUtOl2GISEG4U02yohQABAgQIECBAgAABAgQIECBAgACBShMQcFTajBtvQQSEGwVh1AgBAgQIECBAgAABAgQIECBAgAABAgT6LCDg6DOdCytVQLhRqTNv3AQIECBAgAABAgQIECBAgAABAgQIFJOAgKOYZkMtRS8g3Cj6KVIgAQIECBAgQIAAAQIECBAgQIAAAQIVIiDgqJCJNsz+Cwg3+m+oBQIECBAgQIAAAQIECBAgQIAAAQIECBRKQMBRKEntlLWAcKOsp9fgCBAgQIAAAQIECBAgQIAAAQIECBAoQQEBRwlOmpIHV0C4MbjeeiNAgAABAgQIECBAgAABAgQIECBAgEA+AgKOfJScU7ECwo2KnXoDJ0CAAAECBAgQIECAAAECBAgQIECgyAUEHEU+QcobOgHhxtDZ65kAAQIECBAgQIAAAQIECBAgQIAAAQI9CQg4ehLyfkUKCDcqctoNmgABAgQIECBAgAABAgQIECBAgACBEhI4tIRqVSqBQRHIhBvPPfdc3HXXXTFx4sRB6VcnBAgQIECAAAECBAgQIECAAAECBAgQIJC/gBUc+Vs5swIEOocbs2fProBRGyIBAgQIECBAgAABAgQIECBAgAABAgRKT0DAUXpzpuIBEhBuDBCsZgkQIECAAAECBAgQIECAAAECBAgQIDAAAgKOAUDVZOkJvPTSS7FgwYLIbEtl5UbpzaGKCRAgQIAAAQIECBAgQIAAAQIECBCoLAEBR2XNt9HmEEiGGx/4wAfiO9/5TuqeG8KNHEgOESBAgAABAgQIECBAgAABAgQIECBAoMgEBBxFNiHKGVwB4cbgeuuNAAECBAgQIECAAAECBAgQIECAAAEChRIQcBRKUjslJyDcKLkpUzABAgQIECBAgAABAgQIECBAgAABAgTaBQQc7RSeVJKAcKOSZttYCRAgQIAAAQIECBAgQIAAAQIECBAoRwEBRznOqjF1KyDc6JbHmwQIECBAgAABAgQIECBAgAABAgQIECgJAQFHSUyTIgslINwolKR2CBAgQIAAAQIECBAgQIAAAQIECBAgMLQCAo6h9df7IAoINwYRW1cECBAgQIAAAQIECBAgQIAAAQIECBAYYAEBxwADa744BIQbxTEPqiBAgAABAgQIECBAgAABAgQIECBAgEChBAQchZLUTtEKCDeKdmoURoAAAQIECBAgQIAAAQIECBAgQIAAgT4LCDj6TOfCUhAQbpTCLKmRAAECBAgQIECAAAECBAgQIECAAAECvRcQcPTezBUlIiDcKJGJUiYBAgQIECBAgAABAgQIECBAgAABAgT6ICDg6AOaS4pfQLhR/HOkQgIECBAgQIAAAQIECBAgQIAAAQIECPRHQMDRHz3XFqWAcKMop0VRBAgQIECAAAECBAgQIECAAAECBAgQKKiAgKOgnBobagHhxlDPgP4JECBAgAABAgQIECBAgAABAgQIECAwOAJFHnA8EQ1Tjoxhw4Ylfs+Jhm17O6nsjqa66vT71VHXtLvT+4V6mV3HQPZTqHorsx3hRmXOu1ETIECAAAECBAgQIECAAAECBAgQIFCZAkUecJTzpOyMzXcsjClnNcS2ch7mII1NuDFI0LohQIAAAQIECBAgQIAAAQIECBAgQIBAkQgIOIZiInZ/L5ZMeUtMvuimaH51KAoorz6FG+U1n0ZDgAABAgQIECBAgAABAgQIECBAgACBfAQOzeek4j1nVExv3Bb7G4u3wpyV7Xo0HmzemfMtB3snINzonZezCRAgQIAAAQIECBAgQIAAAQIECBAgUC4CVnCUy0xW4DiEGxU46YZMgAABAgQIECBAgAABAgQIECBAgACBtICAw0ehJAWEGyU5bYomQIAAAQIECBAgQIAAAQIECBAgQIBAwQQEHAWj1NBgCQg3BktaPwQIECBAgAABAgQIECBAgAABAgQIEChegRIPOHZHU111DBs2LPFbHXVNu7uQbo1tTbfGjXVT4rDUucnzj44pddfHys1t98LY21QXR6bfO7KuKfZ20dKBw/ti9+ZVndocFodNqYsbV26OXJW09zG+PpozDTXXx/hMTVMaYlvmeI+PT0TDlCPbxp66LlnPbVE35ei0R1stDU3bYt9Bbe2MzSsbo2HJ3KjO9N3+mHT5XDQ0NsW2zhfuXBlzD0vaJX4POz9W7ux8QueOXo7NS05L13NYnLBkY45aOl/T/WvhRvc+3iVAgAABAgQIECBAgAABAgQIECBAgEClCJR4wJHHNO3eGA1z3xHjZ1wSn1jeHK3tl+yM5uVXRO3kmjh/5ZZefvH+69jcUBunTT6/U5sRrc3L4xO1k+NNU5bGxt09BQDtxfT7yb4tN8e57/lQLM+6eXlr8zfjoRdHxPD21pMhSEPMrT4uJtdeGvVL18T29vcyT5IuV0b9pTNi/IS/jpXbDojFmCkxe9bYthNbvxdrv/Vc5qLcjzvvjs9/4Ydt71W9PxZ/bFJWLbkv6e6ocKM7He8RIECAAAECBAgQIECAAAECBAgQIECgsgTKO+DY97NoOPfPo35NSzez2hKras+Nj979y27OyX5rT/z4M+fFe+pX5QgHDpzX2rwkpp17c2wZjIzj1Qdj0fuvjA1ZWUSqkqozY/Y5x7YX1RaC1Mea7Z1PbD+l45Ptt0ftrOtic/sY/nec9w+XxMTUWTti3dqHom39S8fL2l7ti53fuifWpbuqmvX+OGfMgagl1xXdHRNudKfjPQIECBAgQIAAAQIECBAgQIAAAQIECFSeQBkHHK2x5eYr4soNma/gx0TNgmWxfusrsX///sTvq7Fr04pYPCf5df3j8a/L7409ec3/ztjY/GhiJUiu9v4tFtSMaW+ldcPtseJHL7e/HjG9MX6b7HvrsqjJHK1ZFltT9SSOP7QwqjPHe/O48e5Y09IaVTWXx73t43sltn730zGzPVT4ZaxadF17CFJVsyC+tGJT7Mr0nX58dev6uHnxnBiX6b9lXdybNYbhp86M8yZWpd5tXXdPfKvLbaqei2+t/V56xczYmDV7SkKsbz/Cjb65uYoAAQIECBAgQIAAAQIECBAgQIAAAQLlLFC+Ace+n8SKxu+mv2BPhBGLvxH3NC6M6dVtX85HYrOkUZPmxdVfvydWnNe2JiH/iZ4Y563479hwUHvzo/Ge22LBuEwfz8XPn9qVf7P9ObPqvLh17XUxq318VVE96a0xKtPmzodi7bodba/GfSzW3nNTfHzepAPvp88bXj096q7+cjQuOCl9pNMYhr8t3nfeiW3vdbdNVXZ/nVaSpBvO60G4kReTkwgQIECAAAECBAgQIECAAAECBAgQIFBxAmUbcOy9//a4MbGqIflTNfWq+OriMw/6Mj/15vAJMW/5DVmhROpot/+pmrM4vjxvQu77SYyaGh+6IB0AxG/ipy3P9vL+Ht123eWbR8z/UMxpX62R47Qx82L1K8mVK4nfbQ0xfVR320WNivEnZLa2ejme3/m7rAYPj1PfN+vANlW3rM2xDVdhtqcSbmSxe0qAAAECBAgQIECAAAECBAgQIECAAAECHQTKNOB4OX7y8Kb0llOJ7ZEumR0Tuv0+PzuU6OCT40VP2y39QYw+anT6utbY8evfDkLAMTbOqTkxRuSoNv9DrbGt6dZoaGiIG+veG2+r/3aXl3bYpqrTNlxtF/V/eyrhRpf83iBAgAABAgQIECBAgAABAgQIECBAgACBhMCh5amwK576+XPpoR0bJx6fCRy6Gu3h8fYzJscR8cM87sNRFUcf9bquGhqi472saffmWHnHI7HztSdj9aeWR3Oe9xxvH9zwt0dt3XviC/XrE1uA/TxW3fvTWDzp9AMrWvq5PZVwo13aEwIECBAgQIDA/9/e/YfWWZ1xAH9CVBYdjtYMtWOyxa7ZLA6pKHNE7dQ1LSmObikpLZUO3EY61iiI23C0rJuw4R81ldo/utEN12BZqcw1eBXEzAqWdXZDRU2WqgycA9MGu0lGS+iS5uZ6T5M0tk1Xz72fQOl73l95zufpX/3ynkOAAAECBAgQIECAAAECBKYQqNAvOP4TA/8a39x7dlw2+8Ippl9tpwdi/+YVcfXsG2NVR0d03HsG4cYJsrqYt3J1tJzYamQoenc+FQeGxy3Pbnkq4ca4o78JECBAgAABAgQIECBAgAABAgQIECBA4FQCFRpwnGrK1XptIPZtWB63duyMNyclaIzW9Zuis7MzthRei97Or096V+lk/c2xrOXKsWFvd+w5MB4olS9PNT/W3H171Jcemv5g+/bt8dxzz8Xu3btj2bJl0z/gDgIECBAgQIAAAQIECBAgQIAAAQIECBCoSoEKXaKqvJeH49DhYxFXn90OFeVvzPF4eP8jsWZjz8iSUqM/9dHUfl8sb7otVq+8YZLN14/Gwd7pZjknFi27Jep27UyXqSpfnqrxW/HtOy6f7kXJ9dbW1mhubo7GxsbkvAEBAgQIECBAgAABAgQIECBAgAABAgQIECgXqNAvOK6Km277QnGe/4zX/n64fM6THJdvSj7J5exPfRAH9nTHWGZRFw3tv4knH/1hrJs03Bid7LE4fGg6s9qoX3TnSctUlS9PVReNbUtiwak2d5/Edc6cOcKNSVycIkCAAAECBAgQIECAAAECBAgQIECAAIFUoEIDjk/E5xvnxoktIuLd6N72RPSV9ohIAU6Mhl+JPTtfm+RCpZw6GoffGyxO5spo/sZXJ/lqo2yugz2x/XcfwSNZpurFePHtt+OZJ54vfiVyTbQtvfbDjcfLXu+QAAECBAgQIECAAAECBAgQIECAAAECBAicrUCFBhwjXxcsWR1rGsYijqGen8X3trwak2ccI3tTbPxxPNQ7tnjT2YJ+/J8/Eq/3vjOFxUj1g8/HhjvXxNY3P4rHZ6Pt/u/E2GJSr8bePz4eT3S/O0bQ2BJLF1zy8edQIQECBAgQIECAAAECBAgQIECAAAECBAhkKVChAcdIL2bdFvd03Fr8imMgejq+FgvXbo6nD47/x/1wDO7vig3Lm+Km0t4U56GHLz0V3X3jNZ2r339pXN90Q5lFa6zY2B0HyxOfwf3R9fDauPkzt8bGFwbKCjkSL7/xjzhadqb8sHbBkmhrHA2S3o1d9/4kdp2YypktT1X+XscECBAgQIAAAQIECBAgQIAAAQIECBAgQOBUApUbcIz8d/6873fGr9rGN6seiBe2dsTiuRdHTU3NyJ8LYvaNq2Ljrml30z6V35ld+1R9XDH2cUnEUCE6Gos13bw5Dp7ZG6d5Kv2iJUZ249i1YWnMvWDUofhn9o2x6t6t8cIkWcux9w7Fkal+Q+21sbTtmpOuWp7qJBBDAgQIECBAgAABAgQIECBAgAABAgQIEJhhgQoOOEakaufFyh1Pxo5SyDGFXsNdsb3zrrh0isszfrr+9rh7zfyJr335jeif6lOJiXef3plZi+PBHT+KpvFgZcqnRzYhb/15FAq/iKbiPUOv9MZb5V97JM9eEguWthSXqSpesDxVImRAgAABAgQIECBAgAABAgQIECBAgAABAjMvUNkBx6jXaMjx+F+jv7AtNrU3FZdpGoOsa2qPTVsK0d/321jZ+P/cL+LyaH7kD1HobE8Dh2OH49CRKZOEs+x+bcz6yvrY+86fY0fnA9Fa3J+k9NKG1ljfuS0K/Yfi4O8fiOY7WmL5wvqxy73dsefAB6VbTz74cJmq0SuWpzrZx5gAAQIECBAgQIAAAQIECBAgQIAAAQIEZl6g5vjIz0y8dnSpo9GfGXrdTJR0Gu8YjoGuVXHVqp0xNPIdR1Pnvti77kun8XyV3zrQFcuvWjW2/0bd4uj82+5YN2/aT0WqHM30CRAgQIAAAQIECBAgQIAAAQIECBAgUJ0CM5UnVOgXHKOBxYq4uLi/xMXLu6J82+yJ/2T+G2/19o+EG6M/l8QV9Z+ceIszUwiMWD/zZHQX9+6oa1kdK4UbU1g5TYAAAQIECBAgQIAAAQIECBAgQIAAAQIzJVChAUdtXHrZ7LiwqDTU/Vh09U2ye3bx+nDfr+P+h14aG9XdEssWzZkp38p/z/Dr0bXt2WI4ND/W3H17FBe2qvy5myEBAgQIECBAgAABAgQIECBAgAABAgQInDeBCg04Ii66vikWja+SNFSIjiV3xYau/TFYTj24P7oeXhsLr+uIntIXCHfGovra8rsclwSG4/3B96O0S8jgvti8ojU6esa+j6lb+N24547LS3c7IECAAAECBAgQIECAAAECBAgQIECAAAEC50qggvfgGIq+zd+M6zoKxa8LPgJhww+i8JdN0TxLwDGV1tGn18anF2+NIxNumB/thWfj0WYBxwQaJwgQIECAAAECBAgQIECAAAECBAgQIECgJGAPjhLFVAd1MW/dY/GnzrZomOqWsvN1TffFnmd+KdwoM5ns8KK5X4wvT7hQH03rH40HhRsTZJwgQIAAAQIECBAgQIAAAQIECBAgQIAAgXMjULFLVI1x1ccN6x6Pvv5CbOl8IFobxtesGsdsjNb1m2JLoT/+vfehaLn65Ovj9/m7JPC5xdHe1lga1jW1R2dhX/T89JaYVTrrgAABAgQIECBAgAABAgQIECBAgAABAgQInFuBCl6i6tzCeTsBAgQIECBAgAABAgQIECBAgAABAgQIECBw+gKWqDp9M08QIECAAAECBAgQIECAAAECBAgQIECAAAECFSJQ4UtUVUiXTIMAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg4CAI4cuqZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIBAQcCYcBAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIOAgCOHLqmRAAECBAgQIECAAAECBAgQIECAAAECBAgQSAQEHAmHAQECBAgQIECAAAECBAgQIECAAAECBAgQIJCDgIAjhy6pkQABAgQIECBAgAABAgQIECBAgAABAgQIEEgEBBwJhwEBAgQIECBAgAABAgQIECBAgAABAgQIECCQg8AFM11kTU3NTL/S+wgQIECAAAECBAgQIECAAAECBAgQIECAAIEKExjNE44fP37Gs/IFxxnTeZAAAQIECBAgQIAAAQIECBAgQIAAAQIECBA4XwIz9gXH2aQs52vyfi8BAgQIECBAgAABAgQIECBAgAABAgQIECCQp4AvOPLsm6oJECBAgAABAgQIECBAgAABAgQIECBAgEBVCwg4qrr9Jk+AAAECBAgQIECAAAECBAgQIECAAAECBPIUEHDk2TdVEyBAgAABAgQIECBAgAABAgQIECBAgACBqhYQcFR1+02eAAECBAgQIECAAAECBAgQIECAAAECBAjkKSDgyLNvqiZAgAABAgQIECBAgAABAgQIECBAgAABAlUtIOCo6vabPAECBAgQIECAAAECBAgQIECAAAECBAgQyFNAwJFn31RNgAABAgQIECBAgAABAgQIECBAgAABAgSqWkDAUdXtN3kCBAgQIECAAAECBAgQIECAAAECBAgQIJCngIAjz76pmgABAgQIECBAgAABAgQIECBAgAABAgQIVLWAgKOq22/yBAgQIECAAAECBAgQIECAAAECBAgQIEAgTwEBR559UzUBAgQIECBAgAABAgQIECBAgAABAgQIEKhqAQFHVbff5AkQIECAAAECBAgQIECAAAECBAgQIECAQJ4CAo48+6ZqAgQIECBAgAABAgQIECBAgAABAgQIECBQ1QICjqpuv8kTIECAAAECBAgQIECAAAECBAgQIECAAIE8BQQcefZN1QQIECBAgAABAgQIECBAgAABAgQIECBAoKoFBBxV3X6TJ0CAAAECBAgQIECAAAECBAgQIECAAAECeQoIOPLsm6oJECBAgAABAgQIECBAgAABAgQIECBAgEBVCwg4qrr9Jk+AAAECBAgQIECAAAECBAgQIECAAAECBPIUEHDk2TdVEyBAgAABAgQIECBAgAABAgQIECBAgACBqhb4H9t2IVwZ+0iGAAAAAElFTkSuQmCC" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the path of the ray as it travels through the graded-index optic fibre.</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>Explain how the graded-index optic fibre reduces waveguide dispersion.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about an optic fibre.</p>
<p>Monochromatic light enters an optic fibre, from air, along direction A that is at an angle<em> θ</em> to the axis of the fibre.</p>
<p><img 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" alt></p>
<p>The refractive index of the core is 1.62 and the refractive index of the cladding is 1.52. The critical angle at the core-cladding boundary is 70º .</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the greatest angle of incidence <em>θ</em> that can be used with this fibre.</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>Sketch the path of the light in the core on the diagram above.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a thin converging (convex) lens.</p>
<p>The diagram shows an object placed in front of a thin converging lens.</p>
<p><img 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" alt></p>
<p>The focal points of the lens are labelled F.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Using the diagram, determine the power of the lens.</p>
<p>(ii) On the diagram, construct lines to show how the image of the object is formed by the lens.</p>
<p>(iii) State and explain whether the image is a real image <strong>or</strong> a virtual image.</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Argus uses an astronomical telescope to observe a telecommunications tower. The height of the tower is 82 m and the distance from Argus to the tower is 4.0 km. The image formed by the telescope has an angular diameter of 0.10 rad and is formed at infinity.</p>
<p>(i) Determine the angular magnification of the telescope.</p>
<p>(ii) The focal length of the eyepiece is 15 cm. Calculate the focal length of the objective lens.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A ray diagram for a converging lens is shown. The object is labelled O and the image is labelled I.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="specification">
<p>Using the ray diagram,</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>determine the focal length of the lens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>calculate the linear magnification.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows an incomplete ray diagram which consists of a red ray of light and a blue ray of light which are incident on a converging glass lens. In this glass lens the refractive index for blue light is greater than the refractive index for red light.</p>
<p><img 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"></p>
<p>Using the diagram, outline the phenomenon of chromatic aberration.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about an optical microscope.</p>
<p>A compound microscope in normal adjustment consists of two lenses, an objective lens of focal length <em>f</em><sub>o</sub> and an eyepiece lens of focal length <em>f</em><sub>e</sub>. The diagram shows the position of the intermediate image I formed by the objective lens of the microscope.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Construct rays on the diagram to show how the final image is formed.</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 intermediate image forms 14.8 cm from the objective lens. The distance between the lenses is 18.1 cm. The focal length of the eyepiece lens is 3.8 cm.</p>
<p>(i) Determine the distance of the final image from the eyepiece lens.</p>
<p>(ii) The angular magnification of the objective lens is ×6. Calculate the angular magnification of the microscope.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the effects of chromatic aberration in the microscope eyepiece can be reduced by illuminating the object with light that has a narrow range of wavelengths.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
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<div class="page" title="Page 31">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about light and optical instruments. </span></p>
</div>
</div>
</div>
<p>A thin converging glass lens has focal length ƒ=0.20m.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An object is placed 0.10 m in front of the lens.</p>
<p>(i) On the diagram, construct rays to locate the image of the object, O. The focal points of the lens are labelled F.</p>
<p><img 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" alt width="826" height="406"></p>
<p>(ii) Explain whether the image in (a)(i) is real or virtual.</p>
<p> </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 object in (a) is now moved so that it is located 0.40 m from the lens. Calculate</p>
<p>(i) the distance of the image from the lens. </p>
<p>(ii) the linear magnification.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The refractive index of the glass in the lens is greater for blue wavelengths than for red wavelengths.</p>
<p>The diagram shows two rays of blue light incident on the lens.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>On the diagram, sketch the paths of the rays if red light is used instead of blue light.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Both optical refracting telescopes and compound microscopes consist of two converging lenses.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Compare the focal lengths needed for the objective lens in an refracting telescope and in a compound microscope.</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 student has four converging lenses of focal length 5, 20, 150 and 500 mm. Determine the maximum magnification that can be obtained with a refracting telescope using <strong>two</strong> of the lenses.</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>There are optical telescopes which have diameters about 10 m. There are radio telescopes with single dishes of diameters at least 10 times greater.</p>
<p>(i) Discuss why, for the same number of incident photons per unit area, radio telescopes need to be much larger than optical telescopes.</p>
<p>(ii) Outline how is it possible for radio telescopes to achieve diameters of the order of a thousand kilometres.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a schematic view of a compound microscope with the focal points <em>f</em><sub>o</sub> of the objective lens and the focal points <em>f</em><sub>e</sub> of the eyepiece lens marked on the axis.</p>
<p style="text-align: center;"><img 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"></p>
<p>On the diagram, identify with an X, a suitable position for the image formed by the objective of the compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Image 1 shows details on the petals of a flower under visible light. Image 2 shows the same flower under ultraviolet light. The magnification is the same, but the resolution is higher in Image 2.</p>
<p style="text-align: center;"><img 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"></p>
<p>Explain why an ultraviolet microscope can increase the resolution of a compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a diverging mirror.<br><img 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" alt>Object O has a height of 2.0 cm and is 6.0 cm from the mirror surface. The focal length of the mirror is 4.0 cm and the radius of curvature is 8.0 cm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Construct a ray diagram for object O. Label the image I.</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>Estimate the linear magnification of the image.</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>Outline the advantage of parabolic mirrors over spherical mirrors.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a compound microscope.</p>
<p>The diagram below shows two thin converging lenses in a compound microscope. The focal length of the objective lens is <em>f</em><sub>o</sub>. The object O is placed at a distance <em>u</em> from the objective lens.</p>
<p><img 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YXZ0/BwjcH61J0TPPGsFAgfuZ6rJpJrDNZnOB++eGrk4bouNHLQiKGxPjXywNMohpsPHj7kYEQ01qgvY3HNw7U9nuE5Zvbw1PdwNeV8150TPP3zrMyoeR9pvJ7MRwDlu/lCKwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEvBbgI4AaOD0qb9loYL6+d2U+VslsJ5042fdUB0R+eOpOE5546goQzWcBznfd2cETT10B3WisT11PoukLsEZ1TfHEU1dANxrrU9eTaLoCrE89T43Xk7kBoDcfiZE0JiyxEyoggAACCCCAAAIIIIAAAggggAACCCCAAAIIDHgBjdeT+QigAb8MGAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAn0FuAHQ16QuR+xbX1yDR7+hPG8s1xiu7U3eGjGMqaurRh4+xNDIAc/wjMIztNA6X11NWZ+6c4InnpUC4SPXc9VEco3B+gznwxdPjTxc14VGDhoxNNanRh54GsVw88HDhxyMiMYa9WUsrnm4tsczPMfMHp76Hq6mnO+6c4Knf56VGfHIRYAbAC56tEUAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwFMBbgB4OjGkhQACCCCAAAIIIIAAAggggAACCCCAAAIIIICAiwA3AFz0aIsAAggggAACCCCAAAIIIIAAAggggAACCCCAgKcC3ADwdGJICwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABFwFuALjo0RYBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAU8FtikFW63cRo5okfUb2mtVoSylAJYpoaiGAAIIIIAAAggggAACCCCAAAIIIIAAAgg0uYDG68m8A6CBi4gbKQ3EpisEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKDJBbgB0KAF0LrgVjH/XLe2pctdQ4hrDNf2ZgAaMTRMNfLwIYZGDniGpxaeoYXW+epqyvrUnRM88awUCB+5nqsmkmsM1mc4H754auThui40ctCIobE+NfLA0yiGmw8ePuRgRDTWqC9jcc3DtT2e4Tlm9vDU93A15XzXnRM8/fOszIhHLgLcAHDRoy0CCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAp4KcAPA04khLQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEXAT4EmAXvQxtzVuJzDZs2LCeVocdelB5P+5tX2nLTRAfYiTloJ3n5s2by37WNK1Xo/MsJxn5j6955vWMm1c7zrhyc9zWKeKcaHtm8cIzXFv1XH92/dazD815j64Lsz7tc6fpw2x2PNF6XSVd/9UqN9EGQh9Z8ow73+NiWMu4cnPc1kmyqmcMm0M9+6g21qye1WKYY9HNjqU/PU0+afPQzLOenmZM1XK144wrN8dtnWrto+W+xLB59odn1MPmYY5FNx88bQ4mr2p5Vivv7Wna2nrVYmQpN3XrFcPmWM8+8o61t6nNtV4WefM07aKbr3kW3dPMQbW1Yecjrtwct3WqtY+WR2Pk9YzGMPvRLW0eWfKMxjf7afswdZP6cS2P9oGnrrfx5P+Rqn/suD0HouvP7Ec3W8eucbs+TzpxcrQa+zkENL4EWEoJ227DRyTUoDiNwPzWhSXzz3Vb0rbMNUTJNYZrezMAjRgaphp5+BBDIwc8w1MLz9BC63x1NWV96s4JnnhWCoSPXM9VE8k1BusznA9fPDXycF0XGjloxNBYnxp54GkUw80HDx9yMCIaa9SXsbjm4doez/AcM3t46nu4mnK+684Jnv55VmbUvI80XpvnI4By3HmhCQIIIIAAAggggAACCCCAAAIIIIAAAggggAACvgvwEUC+zxD5xQrYj1Xi7USxRJkK8MzElVgZz0SiTBXwzMRF5QYLsD51wfHEU1dANxrrU9eTaPoCrFFdUzzx1BXQjcb61PUkmq4A61PPU+MjgLgBoDcfREIAAQQQaLRAZ7usuuVOuX1uq/zkgDny9OVjZHCuHDpl69r5ctb0K2Tlpo/I+KsWyHVHj5RBuWL1f6PO9mVywWlny53rPixjz7tGrpi2jwzp/7QcM9gia++9U+66ZY7cLf8kK5ZMkxGOEWmOAAIIIJBeoJjXlvTjD2tyPQot2EMAAQQQQACBegto3ADYtt5JEh8BBBBAAAFdAfNifZvcdUerXL1onXR0B9/OqZM3ZO0d84MX/020jfLILSvl5eAGwAinmP3VuENefnRB8OL/G0ECb8jKqxbJ2hP3kTH57oz01yB6+u1sXyULF90mN92wQjbZo6PsDj8RQAABBBojUKxrSx4zrkd51GiDAAIIIIAAAj4I8B0ADZoF89YX+/YXly7tt2n3ZwwfcjDj1zD1ZSyuebi2x7PyjMJT38PVtOJ83/KAnHVcq7zQWZln0qPaOewgo4+bImN3Ma+S7yrj/2GsfKJKwNoxqjSocqj+MQbLJ752ohw7aofyWMaeMUlG93rxv8KzSo5pDtV/HCaLV+SBi66Sn2x5NzalxuQR2325YOB41h6HKcUzNPLBQmNONNanRh54hmtrYHpWv7a4zqsv6zN5TgbG9ciMQ8PUdV6TPU2N5M01D9f2JkM8w3nCM7QwexoerjFYn7pzgqd/npUZ8chFgHcAuOjRFgEEEECg8QJDj5J5zx0V9PuWnPCXE+SYG55XyGGQDBk9TeY9MU0hVv+HGNRysFy8JPjX/6k4ZvAxOermpXKUdMqWL02X/c94pOcdH46BaY4AAgggkFGgONeWjAMvV+d6lEeNNggggAACCCDghwDvAPBjHsgCAQQQQCCzwGDZcacPZ2418Bu8Ij9f/F+yYeAPJMMIBsmHdtxxwH4nQ4aBUhUBBBBAwGsBrkdeTw/JIYAAAggggEBVAW4AVGXhIAIIIIAAAj4KBN9/sPJaefBXf/IxOXJCAAEEEEAAAQQQQAABBBBAAAHPBLgB4NmEkA4CCCCAAAKxAlt/LnOvWSq/j61AAQIIIIAAAggggAACCCCAAAIIIBAKcAMgtGAPAQQQQAABfwU618t9M2bInHVv+JsjmSGAAAIIIIAAAggggAACCCCAgFcC25SCrVZGI0e0yPoN7bWqUJZSAMuUUFRDAAEEUgl0yIZ5J8i4i39Rrr3dpPny9OVjZHCqtgOrUmf7MrngtLPlTvvi/6hzZcWSaTJiYA3DKduOlTPls1MWydsmShOO3wmPxggggAACagJcj9QoCYQAAggggAACKQQ0Xk/mHQApoKnip0DrglvF/GPTEcBTx9FGwdNKJP/sbF8lrTfOlCP3aBFzYev692WZdtk8uW/tlnKATJ6d7bJqXjTeKDlyxjxZ1V5+6bhGQltk7b3z5PKTvywjD5+X8CW7b8uGlT+UOTOOkL16cm6RvQ6fKXPmr5INnTW6KRcFn+W/drHcdNlU2T/SfuS+U+XyivZBTvP+UQ4Yc2r44r9pv262jOtp9yk5ct7zvTo0Y7lOzj58lHxmxirp6CndKqtm7Bdxtt7dP/uM29xkmdSnfmVMG9zVxMbR+JknF9NmYZ/5L6/P6DwFc/T9le0SneI+63PrWrkv2maPI+TsG39YXoOda6+Wb/WZL40xFydGH8/iDK1fRoKnK3uW55Pn5abDP9XnObPn2pbyObb6NShLHpExm2vi/B9UXg/Kxy6Rafvu2Z2ruU5e13PNjbTutRt3belVLbhV25hrZO9+7WPX/m0cjZ95cjFt8l2PTMYV5zzXI+dJrPB0jkYAPHXXAJ66nkTTFWB96nq6RuMGgKtgyvZm4WtsbUuXO4dxjeHa3gxAI4YzhFIeGmNxjeHaXsPSxNDIw4cYGjlomGrk4XWM4AWIR889Qj4z5jR54KXR8t1fvFh+x9n6p++TSyftJI/fMFvOmjBGjjx3mWx5L43ou8GL6vNk2v5/L1MvXiTP9Lzq/YY8s2i2TB2zv3zr3vUVL9yaqOENiM/LMWfMljkrNsZ2VvbcukZuOvlAOeG238jOx82X54J3ya1fv1Ju+s44GbpukVx+4RQ5cML35NGYGw5tS24Jxn2U7DupVV5sOVUeNO03vChr7j9XxspqmRO0H7f/P8l95fZDZfS0ufJjU2fVubK3zewTE2RFuZ1p+0tZPG3Pckn4YrUZy5Vyt33HgG0nQ2TM5f8lZ5x8uIz66F/0HJXBo+WUe5+U9X3eVTBYRkxbFIzvHjll1+C9FbuMl3Puf1KeDd5p8VD0epTTpC7rM2suwYsj/3ra8cENqE/JuCnfjcx/8ALMI9+To78+RS66YYVsslqbVsh1U74pp1ZZS6ZKZ/si+daBx8tVz39Jrn26e02/MF++sfNv5PbjRsmeE+aGsWzM4GddLCLx0+76kkfafOPq+TIOX/KIc8py3HUsru1Nrg2PUeX55PwLTpNvfHnPmOf7PWXq/cvK14Ndori7HCpXrPplxXNs11i6n2OfnisTdzHvX9tVxp53j6zp/VxcJY9r/mNWjetO5CbzyLEy9cLvh9eDrT+VyyccERybKys32QuluU5eGVxzj4y/TpZvava9tvSZkyq51rpG9nlxoPy7QdprZIjck0fG/sMI7uurJwcbNGsunlyPTPp9xmLHlOGnDzE0csgw5NiqGnn4EEMjh1ikDAUaeRQpRga6qlWLZOE6lj7XpKpitQ+65mCiFylGbS1KGynADYBGatMXAggggEC3wKuy6pyT5JTbfylDJ10lCy4/VkYPGdRVNmS0TLz8LnnwvH2Dj/MJXpS4/Z/l1rvWJN4E6Hz2Wply3FIZ+i93yZqeF9UvkYmjduju8zV55IyT5byVr0Zm4RV54KIL5IFf/Fpeta+DREr77P7xV3L5N0+SK18/QRbOnSlHjR7aVWVQi4w5c448OP84MS/6dKxbIN857TpZszX6d+JBQfA5/j+f9x9yyt2DZMqd84MbHaODl+TNNkiGjJ4il5711a6PMNq0VM6a/O+ytlfzctXY/zwvraddLKuf3yRd75uIqzhI3v+Jz8uhR39FRtvPSxq0h3xhVPdY4prJX8nE2RfLVDtmW8+8mORiYuNo/MycyxZZNfssWf3i5l7z/7a033uW/MMP3pETFgU3Rsrr6UlZNH1090dMbZRHrr5H1vWen87npPWMi+SRbU+Ua+dOC9e0BDdyjp4pN952VmiuMV5iIIBA/QTink/eN1T2GHd8/PN9+XpwiVw0aXiY21+Oks+1bBc+7r23w06y07aDZJdJF8gV0/bpvi50V4rN4y/jrzsdq+XS406XS6I3L024zv+WeVNmyQsHXCUr1rfLNddeL8+vmiunjtu1u7Pgua3PdTLttSUIEZdrhmvkfdO/mf8a6dp/t4LKj8y5KF+P3tvE9UhlIgmCAAIIIIBAMQS4AVCMeWQUCCCAwAAS6JQt954n0xf9j8jgr8oZM8dWvthRHsl2MjL4a+wzP2devO+QN3/1kDzw0019/nq/YtCDPienLb+r14vqx8ql9y+Sc8pxTO3/kbsvmB95Yf1jctTNj8vim38oS64an/D9AW8FfxG+KPgS3o/KlH89QUZ2368IcwhexP/K0XKE+Uv5YOtY90O5ccX/hsXylqy98tty+zO/l10mTJd/3Kf3C+5B+91Gykdsi41rZM2v09yVsA2Cvzxd8qi03rxI7pje9Y4AW1Lt5/uG/Y2cOqH7Baq3n5Zf/Pdb1aqVj3Wue1QelPHyja/s3KtOMKY5sxxMeoVzepgnl3eCd0Q8KmdOP61y/tfNk39/8Xh5YMlsmdhzw2Oo7HPmeTKle35l40p5ZF0vs18/Lkufiv+S5kEjT5DzpibPjRMDjRFAQEEg6fnkfQnP9zvLmHPP6/6r/iCdX66UR9fHfwxd+Tl241/JEcft3+t6mJRHzHVn8Bi59DnzDrFn5Z7I9eDtexfJuhOulxvPHC8juq9hg1rGy7/MnVdxnVx87WJZ33ODM+21JWeuPbMVtA+ukWc9/L85r5HvcD3qsQx2Xn+R61HUg30EEEAAAQSaXGDbJh9/w4cffSvPYYceVO4/eiyaUFy5rW/LTRt7LNre7Ns6vcvtY1tu6tpjZj+62TrR8uh+tfJq7c2xaLvoft4Y0ZhpY0T7rdY+eszsR7e4PmxMW27a2GPR9mbf1uldbh/Hlds4ttw8tm1679s60XLb3vy05b3bRR/bOllj2Pq2fTSm2Y9uto5tY8vsY1tujttjto79aev0LrePbXnWGLa9aWdjRI/Z/qPlZr93Hfs4bwzbPtpP9Jg5bre4Pmx9W27q22O2rf1p6/Qut49tuVOMv9tWrrjisfLn0g/a86Pyzk8fljabQPCzp4/gr9I/+JkWGfTUuuCF/3fklZUrZNYdn5Yv7vC+njorn30tbPmB98ubz66StmcjMYLStuXtsvMhX5Ph/+9++R/zgsbGB+T66z8p8/7pyHJbO7b3XhHZPjjyujn6+i/LZfY/5TpvPCEPr/qtyE5/Le9/+T9FRnc9h5s6NobIK/LbbWyrrfL4sidky9FHyU/Mx+UE7efONZ/V/1H59Cf+KI8Hx3rG2hNjL5l85B5y+eIXREYEf5H5zKMiLd3XiuDjI8q5dYdfGbQ3L8fbGGEOwR95loaWb2ZEbx9Ey02IYcNa5A+f2FN2DG6KvC7Py/xrH5KTb+7OtbuPrh/vyIbFS4OOrpFRwQtG0Thtd1zWNaadxsv4UR8oV4+Wd7Xva3LHX7y/bG3Ko/WrjaUrhvnD1Zftbnl+7Ph7YgS+S24KfHf9VjmXaNyw4Suy007BIDYama3yn/PnyB1/sW+Qy/vkJ7/fvnzzpfwBUKP+Sa6ZuV95jsK2Zu+P8t6uwTg3/j7Y/4Os/dEyafvNB3uqtNk52rhU5iw+Rq47eqQsi35UUlDzvQ98vPwuEdsommd0v5aFaWvLzX60XXTf1okeM/XtZsvN42gdux9Xbtubn7aObWPL7GNbbo7bY7aO/Wnr9C63j2151hi2vWlnY0SP2f6j5WY/Wie638gY0X6jOdkcosfMfnSzdfozhs3B5BXNI7pv60SPVRtHv8Swz9c1ntvalj/d5/k++twm8mfZfd8RMih4Pu/sWCOtcx6XHQ54V7qeKbtG2jX2P8j2q5fLxl0P6vvclZBHV/vK59jwec308Z68+eZ2wXvMgufQ4N92ky6UH/R6XrL+O4/ZV3Z96hExz4EdT7XKpdfvLIe3RD4qLjh+4Bc+K9vd8Hz5y9g7f/0LeXDp2+XY5RgpnoMPO3Rkn+fgv5m4u5hn0Z7rSXCNtDdCbG5BcffWdY280lwjPze+fI001/zy9sZaucBcYyNzZo5Xxqi0MtfoyjkL69v12TdGr+tRUKHa9ah8vW/g9ei11/8cjDX43SSylX9n2Bj84UKN61Hp2ceDFl03piut0lnY7qxXI2L07qN3DuZxtE50Py7PpBjRmGljRPut1j56zPZvf8b1YWPa8nrGiOvD5mD6tnWix+wYouVmv3cd+zhvDNs+2k/0mDlut7g+bH1bburbY7at/Wnr9C63j225Rgwb0/Ztf9bqw7axdexj29b+tOXmcbROdN/WiR6z7c3PuHJb35abuvaY2Y9utk7vcvvYlps29li0vdm3dXqX28dx5TZOXPmwYcMq+oyrVyuOzaFWnr3bm8fRdtH9PDlE49n20WNmP7rZOtF+Tbl9bMujx6Ltzb6tY9v0LudxPwuUErbdho9IqEFxGoH5rQtLGpZL2pal6a5mHdcYru1NchoxjKn557Jp5OFDDI0c8AxXEp6hhdnT8AhjvFvafM+00ieDa4t5Tvz0WStLf67srvLR5ntLU3fvqrvb8E+Vpt7zm0j5n0vtcyeW4yTH+k3p/IM/3V13j9IBlz5ZejcSqbz70tzSEd157XbY3FJ7RXlX3nvY8rQ/97+09FS5o+i4x5XmvVRz1BU99zyI5vd3p/fKr6dWeefPK2aUPt2dYzXjnvP93V+W5k3Yu8tl92mlezf3USmVXn+4NHP/6X3KlrQtrZhLMwep/vWYZFtb0TFF56drbUV9U+Zh8u3OpRwj6ttn/q3v66WVZ+3bPc69SkfM/VW5oMezYr3uXTrirDtKT71exdSGi/wMz5HIwYy7RYnR45lx/NHqRbEwY3Idi4anRh6u49DIIV0Mt+cT00fPFn1O6PUc2+NRrvPZXtc3E0Enj+hzZ+/rQU8O5e6eLF22/x59nt96xhLsVIvVFSN/rhfebH6fXxC5nkzMcY18t3T7+YeX7O8Wqa5FkWuAHWOFhz1Y5WfUwbfrkUm3fM5fe3rk96ds1yMTI62FqRu3+RBDIweN51CNPHyIoZEDnpVnjKspnnhWCoSPXNeWieQaQ2N9hiNq7j3zu43rxjsA+vkGDN0jgAACzSXwhqz72TPlv/4P/hZR9tjj47U/dmfoX8uXPrWdrFxnPjrhT/KTn/1KOo7+WO02VUF3lpY9Piry7PqgtEM2b/lD8HeR5pP3027vyK9f/J+ujyAada6s6P0FjYlhouNOrNy4CsG7LCacsK9cGfzVZ0fHY/LvNz0tR8zcJ+ISfFzTirul7ZMHyllDe2t1lE3K7zLIZaI5zK75yZtL+a/+NdIZ+mU5PvhYpZXm463M91csOkeOWXSdjJ0+TY6fNEnG1PoMcI3+iYEAAgoCtZ9PzBcEmu2kEycn9zX0QPn21DmyMvireYl7jn3sIXlcviCzv9rzAXDdcWvnYf66zv6lXXIiKWoM+pSMP6xF5phcg7/xf+GF3wRXyz1TXm9r51qr9y7PdyK/G9SqHVf2jmz+7atdv1twPepC+uDuXI/ilgvHEUAAAQQQaEIBvgOgQZOe6n8SUuSi8Yu+awzX9maYGjFScCVW0cjDhxgaOSRipaigkYcPMTRySMGVWEUjD/9i/E7WP7e1e+yd8vprb3S9qB6r8Zcycq+ur8k1Vd5+7kX5TWzdWgWDZfLh+wS3HPJuf5atwU2D8vb8i9JefqU5S6zouHfK0rB63R0/Vf14yqPmmtR1XRokQ8dNlCN3Md9b0CEb2x6t/GLbzhfk/ts2yz9858Dga2wrt8MO/aqjic61oGuNu82PxnnSpRN87vclrXLTd8ZFPuZnY/Di33dl6pgvypEz5smq9uqfA66RQ5FiVK627I+KZKExluyCfVu45uHa3mTUmBhuzyeVch+Q0VNPkbHlr4YJnmNvmiMPbOksVymPpfwc+4TIAQfKV/rcZK2dh77FYNlxpw9Xpp/iUVcetXOtFabrevTVyO8GtWrHlf1Z/nqnUldhrmt0V1NXU1cLk4VrDl0jMf/dIff1yLTWyMOHGBo5GA/XTSMPH2Jo5OBqadpr5FGkGK6mRbJwHUv4/0j5VV1zKNoazy9JS20B3gGgLUq8hgl0vXjVsO4K3xGeulOMZxrP7H+JP3jnocH/0vbz9nbwxYrBZ8iPaSm/opMjmRfkZ0+9KlNbPpajbR2aDNlfvjGhRe42f/W58U65fvFkmRe8y8JsnesekFt/9yW5pvvz/WN7dzaJjZy9oB9yqTjfB7XImDNvktVHr5LWG66RKxet6/qr1PI7AmbL1PuXyrHXXyMXjg++3yL76JqiRYVnU4y4voPE08G3yvNJZs/oO4M6npDb73tBjpi2V/n8Lz/HPhV8sfz9fW+yVmRdJY+KcpUHg+XjI1uCG+W/KH/Gf+6Qzrk6XiOd+8898r4N+ymX6BrletR3WrIeiXpmbUv9vgJ49jVxOYKnix5t6y3A+qy3cLb4vAMgm1fu2vbtwrkDdDfU+DIN1xiu7c1QNGK4WmrloTEW1xiu7TUs8dRSDONozKt/MbaXnXYO/w4/21/0D5aP7DlcwvcDhFbJe51yz6rnut9tkOKjh2oGfE4eenR9wjsXTIBX5L7L7pQN5VjRdzJ0fzlw+Xit/7wiD8z7kWypVqXXlxRXq1LrmLkmhdelD8ioY46R0eX7GUFutz0o68t/oPqWrHt4jex5+mQZXeWV6ralwRcU92x5THSuBX3XePZc+sboGVjunUEtY2Tq5Q/Is6vmyzmTRoUfo9GxTu789rnSur7ynQAaORQpRm747oZFstAYi6unae+ah2t7jRyyx8j+fGL6qNx2lgOOO0iCr3UPtjdk7c0LZfXWzsBzcfAcuzL48t+xPV+iXtku+qhvHtU9o9edaPvq+5UxOuUPr7+e+TpZGcP00zfX6r135Xpl+Xr0WOTdfvmukT/79Z+6u8nW/4ZIcn3HEilMsdu3ffZc+sZI0XFClazXIxNOIw8fYmjkkMCbqlgjDx9iaOSQCiyhkkYeRYqRwJVYXCQL17FU/j9SIl3VCq45mKBFilEViYP9IsANgH5hp1MNAY0nZ408ihIDT92ZxDPO8yPylYO/EL4Y+stfyFPdH4cQ1yI8PkQO+fqncv7VdOTzgeWv5G8/3/VSTBg7aW8HGfWlvbv7Ni/gXCcPxHyUS0+kLU/Iw+v/T/c7Fj4YfAfBJ3qKOlbfLff3egG4p7B7p3PtHXLHa8Ny3vDoHa3240EjD5HjD+i6tdLx1D1y77q3RLY8JNe3DpGD+nwutY31/rJJ1/sg8pjYOBo/u+anv3Kpdb53vfBynzxx/7kytvxRS8F4O9bIrfc8m+ImkobNwItRy3Pgjab/M8Yz6xzUfj6p6lnxfN+3v0GjJ8tp47pvX29aLrev+F+RPz4nd93/a9n1sK/JqCo3Wc1HuJjrTuOe196TN17b2v2OpazXyfy5dv1JwP9xvEbuIMP3GN5Aq75zHB7Jb6H1DseqazRIkOtROEtZ9uI8s8SgbiiAZ2ihsYenhiIx6iXA+qyXbL643ADI50YrBBBAAIFcAsFnzn/1QPly1ysawQuhv5DljwUvhMRukc/O//AnU/yVZFygrfK73/6+XDh43Cly8ugPxFWMOd6V9yftizSblsq5p10mj8beBHhVVl12i3T+/b7dn50/WD7x+X26/wI06CL4GIgrT79O1gR/BVp163xOWv/tx/K53Dc8qkatcfAjMvaEg7o/t75dHrjjcVn/2KPy/OETZWyfz6W2Yd5XOZeZTWwcjZ+91lV/5dLeKt+6bE2VF/YHyZDR0+TG287qfqdF+PFXGqMnBgIIaArU4/nkY3LEd47tvgZslZVX3yLP/L+fyuItX5bTpn425sZ2PfKo5fSqPPXEC10VUr0rIRorf64fLIcZ5HiNHCTbf/qz4e8W/XUN6B5Lxe85/ZXLlp9wPYouUfYRQAABBBBocgFuADT5AmD4CCCAQMMFhh4sZ8/Yt/sv9cwLIbfK2pjXwWXLf8vPfmk+KmVHGXXIflU/iiZN/p1rb5XlzwZ/1T54Xznz3IP7fKFtmhgSfI7z/l8Y1lO1Y90COeXr35Czb1wsa3teyO+UrWsXy5wZU2X66s/I8eM+0lO/4i9Ag6Md666VSQeeIpffu1a29tTqbn/OTLlaDpKjo5+9/6GhsrO9cbJpU44vIu7ppMpO8AL1V46WI3Y1HXTIpvv/Vb556a/lkOP2r/0OhO7PtrYBs5rYdio/vcjl3cDu3vLHe1Qb06ARn5MvfsQYD5ZhQz8k/BJWTYljCHggUOP5ZOOf3utOMP75vtoIBo06QiZ/rvtvvDfOlZtvXxfz5b+R1jXy2PDH7HnU/Ni94F0My1ebq9FwmXjhlOzX2xq5NuQaucOn5fgJw3vwuB69x/WoZzWwgwACCCCAAAJ8CTBrAAEEEECgwQLbycgp35Uzl0+SS556I/ji2dvke1ceIAtm7tfrxWbzV/T/ISs7dpBd9j9Cxu9Z+83xnc89Jeu2HiD7DLF/pt89rK0/lau+e5u8PmiEnHLntTJ1ZPgdBNkGvrN8ZsLRMnHDfLl7U0dX0+Dz3O++9PTyv8pYwQso80+XMRW5fEyOuupyufsr0+Xnv+++47Fphcw5w/yrbG1uVJzz0GQZGR3Kh3aU8h/jm647XpAfPf6qjBm7k2xdc41MndMic+Ye1X1jI/o5ziJdL/iMkRG9uujzcNBn5eTTvyrzz3hEOjpelS2fmFZ5A6JPA3NgZxlz7nkycfWpOU2qBq1ysHJMVSo459K59TV53QZ+/sXyDZYR9oaLPZ7m56Z75PwZn5XbbpgkI6LzZ9pu/R954X+DCQzmd/Ixn4n5q980nVAHAQTqKxD/3Gb7vWjWBd271Z7vba3Iz0F7yIQT9pUrnwqeY8uHPyBfPti+SyxSr2K3dh7XzPxOpHaKPNbdJjeuPFIuHbtzpJ3ZtdfbwbLLpPPk7D7lpk7l87C9tpiSri0+V3OdrNzCXFt7CrqukT8/MHI9yXKNlA9xPeqx7N7hetRbhMcIIIAAAgg0rQB/fNa0U8/AEUAAgX4UGLSXTJ3fKueMM5/F/4Y8c8MpcuKMO8O/pN+6Vu42f0W/qFPGntcqJ4zfTd7fJ933yZDPHyunlGNU+4t689eZd8rZ3zxF5suhcuw/T5cZ+wztEyXTgQ/+jVx8xzVy7KhaNyN2lfFX3SwXV3sBZch4Ofa0E2u3Hzy6+o2KwX8tf3+4/evGzXL3lC/KyBG7yz6nbpDjz4m8q2Hrz+XmW57ofoEpGN0vl8uiNVtSDDP6EQ5D5MsnHFJ5AyIuQjAmJ5O4uNHjvce0bqFcem+VL2LOm8t7m+SBG5bKRtvn2z+Ru5b0jd/Z/rDctdpavi3PtbVV+Rin4B0UD8+UAyfMlJtWtvd8HFBn+yPy/RlXy0oZJcdeP1tOyn0jyibJTwQQqKtA3ueT2KSC59gjT5Ep5XdaBZV22l++feTHYmv3FCjmMXiXd2TVKVPl7EWRd571XG9fk72Pv0Zuu2R8r5vx3Zn0fh6udm1xzTVN+7hrpEkzTfvgg5hir9E96DV2ejtwPaqBRRECCCCAAAII+CKwTSnYaiUzckSLrN/QXqsKZSkEzJdfmL8UwjIFFlUQQKCJBN6WDSvvkR89dLdcvWhd+KL1LuPklJO/Kl/42jEypiX5L/Y721fJwkf/W37VNk/uXhe8q6C87SB7T5omh37p7+SYo0dXf0EjKt0+T44cM1ueMcdGnSsrlkyr8VfzW2TtvffJI8sWypwV9mXjXWXs9Gly/KRJyTl3tsuqW5bKjxZH8i2P+VAZP/EwGV3xzoFIkqbd1RfL+deukE3BF0TuPemf5LTpk7v72yqrZhwkUxdtijSI7G43SW565jIZE/xVu7kmme2kEydHKpjdt2TtZRPkmPv3kZse+rde72DoVbXPQ0eTPvHMgYQxyRfknFW3ydSW3n+qnzaXDtkw7wQZd/EvqvYuNv6u/yVn7z1F7jafRlVts+vFfAfAolFy3Zk7yepbHpZf/PiH+dZHtT44hgAC/SSQ9vkkTXqdsuXe6bL/GY/JR6bfIStn7pPhnUD58uhYOVM+O2WRmKev7SbNlceOe0Nar7068tzUda084sBD5ZtjW6rkk/A8HLm2hALpc616Pcp7jexJIH3/PU0SdxIc7PWC61GiJBUQQAABXwWqXpN8TZa8mkpA47V5bgA0cMloTFgD06UrBBBAoLkEMt0AaC4aRosAAgggoCPQufYyGTvpaZn8UKvDR9Klz6XyBsB8efryMd3fwZM+BjURQAABBBBAAAEE+k9A4/VkPgKo/+aPnh0FzN1Ze4fWMRTNAwE8dZcBnnjqChDNZwHOd93ZwRNPXQHdaG7r8xV54No75X8PmCgT+Bgw3YkhWo+A2xrtCcNOtwCeuksBTzx1BYjmswDnu1+zww2ABs2HWfjnz7rQube2pcv7PYYPOTgjdAfwZSyuebi2x7NSAE99Dx9Ms+Sw3V67y8crGcqPssSo0tybGBq/jBXFwkyKxlji5jvtcY0cihQjrVtcvSJZaIwlzinLcdc8XNubXH2JkcWtou6WJ2T5ail/+e9PHH+n98XCNQ+N65Eva8PVQmscFWsu5wNfxuKah2v7nHx9mmnk4UMMjRz64OQ4oJFHkWLkIKxoUiQL17FoXJNcczCTU6QYFYuNB/0qwA2AfuWncwQQQAAB/wSGyN9+6ZN8RIJ/E0NGCCCAwAAWCD7//7GH5PGhB8nx4z4ygMdB6ggggAACCCCAAAIDTYDvAGjQjJk7iWYbNmxYT4+HHXpQeT/u7l7achPEhxhJOWjnuXnz5rKfNU3r1eg8y0lG/uNrnnk94+bVjjOu3By3dYo4J9qeWbzwDNdWlvX3Xvv98m9XPSKvDxolx1/0j/Jvxx1impe3aqZ2/ZoK1crNcVsnqVwjRlIf0XKzPu1zp+nbbGlzjcbpatn137TtTW3XGEntNfrIEiPufI+LYa3iys1xW6c/x2pzaHSeWT2zePWnZ3/lWU/PuLXRX2vH5BPdNPOwaye3Z+camfaFb8r6A06X0772cYn+FVY98uxyeE/e/Nlc+e6t66QzOLDdpK7vAHgo5t0HNg871qil2bflZr9anTzlvT2j/VTrI0t5XJ4aMZLGqtFH3hi9TW2uPntmGWvSOEyspDpJ5dEYRfeMjtXs282uG/M4ySupPBojr2c0htmPbjbXpDySyk3MpDpJ5RoxsvSBp/ucRb2NJ/+PVP1TR+x5lmWN2/V50omTTTM2BwGN7wCQUsK22/ARCTUoTiMwv3Vhyfxz3Za0LXMNUXKN4dreDEAjhoapRh4+xNDIAc/w1MIztNA6X11N9dbnn0rt93yn9LfBte2Th80qPfLSn7oH+25p8z3TSp8cvnfp6Lm/LL1bSdDzyHUcxfPsocm1g2fIVhQLjTWud76Hvnn2ijInGp4a89o8nptLT146IbiejCjt9qWTS1eteKn07rsvlu6d9nelT06YW3qx+wLj6pGu/Z9L7XMnlsz/z5l/n5xyb2lz5GRIFyPSoMquawxf1meR1riGqeu8anhqxNAYB57hiY9naKGxPjVisD515wRP/zwrM2reRxqvzUf/+MThXgRNEUAAAQQQGAgCb0v7z56UTUGqHesWyCnH/V+5ae0Wka0/l5tveUb2mj5Hbpq2lwwaCEMhRwQQQAAB/wQ61sndrWulw2S2aYVcN2Ws7Dnya3LupiPltvlTZGQDLzCd7Y/IvLbneow6Vv9Qbl4TXPPYEEAAAQQQQAABBJpKgBsATTXdDBYBBBBodoEhcsD02XLOpFFdn/G/6RG5ZMIYOXL2U7L795bK4pn7yZBmJ2L8CCCAAAL5BQbvJ9+6/v/K2F0Gd8XYZZycctV98sSSM2SfIQ169b99nhw5okX2HHOq3LnujXAsHWtlztGfl5Ej9pOzV24Nj7OHAAIIIIAAAgggUGgBvgOg0NPL4BBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQGooDGdwDwDoCBOPPkjAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBAggA3ABKAtIpbF9wq5p/rFv2G8ryxXGO4tjd5a8TQMNXIw4cYGjngGZ5ReIYWWuerqynrU3dO8MSzUiB85HqumkiuMVif4Xz44qmRh+u60MhBI4bG+tTIA0+jGG4+ePiQgxHRWKO+jMU1D9f2eIbnmNnDU9/D1ZTzXXdO8PTPszIjHrkIcAPARY+2CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgh4KsANAE8nhrQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEHAR4AaAix5tEUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDwVIAbAJ5ODGkhgAACCCCAAAIIIIAAAggggAACCCCAAAIIIOAiwA0AFz3aIoAAAggggAACCCCAAAIIIIAAAggggAACCCDgqcA2pWCrldvIES2yfkN7rSqUIYAAAggggAACCCCAAAIIIIAAAggggAACCCCAgKKAxmvzvANAcUIIhQACCCCAAAIIIIAAAggggAACCCCAAAIIIICALwLcAPBlJlLm0bZ0ecqa8dVcY7i2N5lpxGhdcKuYfy6bRh4+xNDIAc9wJeEZWpg9DQ/XGKxP/TmpjJj9keucmh6LEoP1Wbl+XOcVT/88Nc5X13WhkYNGDI31qZFHUTyNhcbmg4cPORhLjTXqy1hc83Btj2fl2YmnvoerKee7/pxURsz+yHVOTY9FiaGxPrPPAC3iBLgBECejfNwsfPOWDTYEEEAAAQT6W4Bfxvp7BugfAQQQQMAIcD1iHSCAAAII+CLANcmXmSCPeghwA6AeqsREAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKCfBfgS4AZNgLmTeNGsC+T8WRf29HjSiZPL+6as2pa23LR1jRHX3sROm0dcDNteI0+NGAM9T9/mJM7TtzxZO+G5rGGhEWOgrJ2Bnqd9Du49jj/84Q/yoQ99yExleYurp11u4vXOxcc+6pmnia3l3Ux51nOsdj40+tCIkXSOaPShESMuTxPbmsbVSVveTHnWc6zWW6MPjRjRdVGv65F2niZedLOm0bHkKTdtXGPEtTexfcqznmO149ToQyPGQJmTgZJnPedkoKydgZKnmSuba9z6SlveiHmPy9H0bba0ucbFSdve9OUaI6m9Rh95YlgD05YtnwBfApzPjVYIIIAAAgg0tcBTa56UB9seaGoDBo8AAggg4IfAD29plY0vv+xHMmSBAAIIIIAAAggUUaCUsO02fERCDYrTCMxvXVjSsFzStixNdzXruMZwbW+S04hhTM0/l00jDx9iaOSAZ7iS8AwtzJ6Gh2sM1qfenLzxxhulz+z16fI1afV/rq4MnOGR65yarooSg/VZuXBc5xVP/zw1zlfXdaGRg0YMjfWpkUdRPKdN/cfy9ehrY8caltybDx4+5GAANdaoL2NxzcO1PZ6VpyQvEZoRAABAAElEQVSe+h6uppzvunOCp3+elRk17yON15P5DoAi3tVhTAgggAACCMQIzJ0zV/70p7fKpRd+b5a8+eabMTU5jAACCCCAQP0ENm3aJD/5r/8qd/DS+pfkrjvvql9nREYAAQQQQAABBJpYgO8AaODka3xmUwPTpSsEEEAAgYIJmBdb9t93v4pRnXPeuTJ12rSKYzxAAAEEEECg3gLf++4sWXjLLT3d7LjTjvLY6tWy/fbb9xxjBwEEEEAAAQQQaHYBjdeTeQdAs68ixo8AAggg0DQC5597Xp+x3njDDWJuDLAhgAACCCDQKIG1a9dWvPhv+n39tdfFvEuNDQEEEEAAAQQQQEBXgBsAup6x0eK+jTu2AQWJAsYU10Sm1BXwTE2VqiKeqZhSV8IzNVVsxcdXPy6rVq7sU25ecJlzw419jnMgvQDrM71Vmpp4plFKXwfP9FZpauKZRim5znU/uLZqpet+8AN58YUXq5ZxMJ0AazSdU9paeKaVSlcPz3ROaWvhmVYqXT080zmlrYVnWqnG1OMGQGOc1XppW7rcOZZrDNf2ZgAaMZwhlPLQGItrDNf2GpYmhkYePsTQyEHDVCOPIsVwNS2SRZ6xmM/7j9vMRzCYv8bMsuXJoXf8IsXoPbasj4tkoTGWrH6962vkUKQYvX3yPHb1cG1vcvYlRh6/3m1cx+Lavj89lz24rOoNaWt06SWX2N3UP33w8CGH1GAJFX0Zi2seru0TmFIXa+ThQwyNHFKj1aiokUeRYtSgSlVUJAuNsaRCq1FJI4cixahBRVGDBbgB0GBwukMAAQQQQKDRAjfNmyfmCxZrbbMvuqhWMWUIIIAAAgg4C5gvnr/6+1fVjGPerWbetcaGAAIIIIAAAgggoCPADQAdR6IggAACCCDgpYB5scV8zn/S9tSap8T8VSYbAggggAAC9RK48447Em9Im75rvWutXrkRFwEEEEAAAQQQKKoANwCKOrOMCwEEEEAAgUDgqiuuLH+xYhqMC/71fDE3DNgQQAABBBDQFjBfOH/JxbNThTXvWjPvXmNDAAEEEEAAAQQQcBfgBoC7IREQQAABBBDwUsB8kaL5fP+0m/lCYPPXmWwIIIAAAghoC1xx2WWZQpp3r3FTOhMZlRFAAAEEEEAAgaoC25SCrWpJ98GRI1pk/Yb2WlUoSymAZUooqiGAAAIIqAhMnXJyzS9ajOvkx0/8VHbZZZe4Yo4jgAACCCCQScB80fwxE47K1MZU/uY//IN8t8aX2GcOSAMEEEAAAQQQQGCACWi8nrztABsz6SKAAAIIIIBACgHz1/9mGzN2bNXa5ksW48r+87H/lG8c+42q7TiIAAIIIIBAVoE1Tz4Ze82pdT16+eWXxXx0EDels4pTHwEEEEAAAQQQCAV4B0BoUde91gW3ykWzLuDdFIrKxtRsJ504WTFq84bCU3fu8cRTV0A3GtckfU8TkeuRjivPnzqONgqeVkLnJ546jjYK1yMrofeTNapnaSLhiaeugG401ieeugK60Vifep4a7wDgOwD05qMhkdqWLnfuxzWGa3szAI0YzhBKeWiMxTWGa3sNSxNDIw8fYmjkoGGqkUeRYriaFslCYyx4hgJ46lrgWTxPMyLXeXVtr5GDVgwTx3Vz9XBtb/L3JYarpS9jwbNyJn3w0MihclT5Hmnk4UMMjRzyCVa20sijSDEqdbI/KpKFxliyC1a20MihSDEqdXjUnwLcAOhPffpGAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKBOAnwEUJ1ge4e1b30ZNmxYT9Fhhx5U3o+7u5e23ATxIUZSDuRZnm5JO68DxTNuXu0448rNcVtnoIyVPMM505jXgeIZN1a7fuPKzXFbpxFjTeojWr558+byx9Jdc+31Js3yljbXaBzb1vxM297UdY2R1F6jj3rGsFb17MPEtv3k9bLtfc8zy1jzWmTpQ8NroOQZN1bWjpEJN+vRiHltRB9mZNX6sePMUl7P61FcHua4zbXaOKLlcTFs+7jyaIy8fTQ6BnmG60JjXgeKZ9xYWeNGJtysRyPmtRF9mJEl9eNartGHRows4zDXpOhrdqb/tHOfpR8T1242vnnsGiOpvUYfeWJEx2jas2UX0PgIICklbLsNH5FQg+I0AvNbF5bMP9dtSdsy1xAl1xiu7c0ANGJomGrk4UMMjRzwDE8tPEMLrfPV1ZT1qTsnxtP1+u46p76sLY08WJ/669OYumysz1BPY32aaK6mru01ctCIgadRDDfXeTWertcjk41rHhoxfMjBjENjjfoyFtc8XNvjaQTCDc/QwuxpeLjG4HzXnRM8/fOszKh5H2n8rsRHAGW/8UILBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQS8F+AjgBo0RfYjgE46cXKDeix+N5jqzjGeeOoK6EZjfep7XjTrAlm/oV03cJNGY33qTjyeeOoK6EZjfep7cj3SNzUR+f9OHVfOeR1HGwVPK6HzE08dRxsFTyuh8xNPHUcTReMjgLgBoDcfREIAAQQQQGDACGj8EjFgBkuiCCCAAALeCnA98nZqSAwBBBBAAAEEPBDQ+F2JjwDyYCJJAQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABbQFuAGiLxsQzb32xb3+JqZLqcNy3eqdq3F3JNYZre5OGRgwNU408fIihkQOe4VmEZ2ihdb66mrI+deekKNcj1qfuusATz0qBykeuz+Ou7Yu0PjXGUiTPypWW75EPHj7kYPT4nSlcQxpzgieeoUDlnsb6co3B+tSdEzz986zMiEcuAtwAcNGjLQIIIIAAAggggAACCCCAAAIIIIAAAggggAACngpwA8DTiSEtBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRcBLgB4KJHWwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEPBXgBoCnE0NaCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgi4CHADwEWPtggggAACCCCAAAIIIIAAAggggAACCCCAAAIIeCqwTSnYauU2ckSLrN/QXqsKZQgggAACCCAwwAS4vg+wCSNdBBBAoKACXI8KOrEMCwEEEEAAAQRUBDR+V+IdACpTQRAEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBPwS4AZAg+ajdcGtYv65bm1Ll7uGENcYru3NADRiaJhq5OFDDI0c8AxPLTxDC63z1dWU9ak7J0W5HrE+ddcFnnhWClQ+cn0ed21fpPWpMZYieVautHyPfPDwIQejx+9M4RrSmBM88QwFKvc01pdrDNan7pzg6Z9nZUY8chHgBoCLHm0RQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEPBUgBsAnk4MaSGAAAIIIIAAAggggAACCCCAAAIIIIAAAggg4CLAlwC76GVoa95KdNGsC+Saa6/vaXXYoQeV9+Pe9pW23ATxIUZSDuRZnm5JO68DxTNuXu0448rNcVtnoIyVPMM505jXgeIZN1a7fuPKzXFbpxFjTeojWr558+a6XZOi/RgDu1kL8zipjmu5Rh/1jKFpQZ5GIP25lrS2TKykOknlGjEa0YdGnnExBsoaN/nbXJPMk8rjLLL0oRGjP/O0lnHjqFZez+tRXB4ac1JtLCZudLN1+nNOTD5p8yDP0Mq4JXm4lmv0Uc8Ydt3Usw8T2/aT5KmRRyP6IM9wTjUsNGIkzXu03FyThg0bZrrt2dKu0WicnsbBTtr2po1rjKT2Gn3kiWENTFu2fAIaXwIspYRtt+EjEmpQnEZgfuvCkoblkrZlabqrWcc1hmt7k5xGDGNq/rlsGnn4EEMjBzzDlYRnaGH2NDxcY7A+defEeLpek1zn1Je1pZEH61N/fRpTl431GepprE8TzdXUtb1GDhox8DSK4eY6r8bT9XpksnHNQyOGDzmYcWisUV/G4pqHa3s8jUC44RlamD0ND9cYnO+6c4Knf56VGTXvI43flfgIoHw3X2iFAAIIIIAAAggggAACCCCAAAIIIIAAAggggIDXAnwEUAOnR+UtGw3M1/euzMcqme2kEyf7nuqAyA9P3WnCE09dAf1oXJP0TDnf9SxNJDzx1BXQjcb61PU00bge6ZqyRvHUFdCNxvrEU1eAaD4LcL7rzY7G70rcANCbj8RIGhOW2AkVEEAAAQQQSCHANSkFElUQQAABBOouwPWo7sR0gAACCCCAAAIDWEDjdyU+AmgALwBSRwABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAgToAbAHEyysftW19cw8Z9q3eWuK4xXNubXDViGFNXV408fIihkQOe4VmEZ2ihdb66mrI+defE9bnTl3XhSx6sT/316bpGXZ9zfFlbGnlorE+NPIoyJ3jqn++VEfM98mF9+ZCD0dNYo76MxTUP1/Z4Vp6PeOp7uJpyvuvOCZ7+eVZmxCMXAW4AuOjRFgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABTwW4AeDpxJAWAggggAACCCCAAAIIIIAAAggggAACCCCAAAIuAtwAcNGjLQIIIIAAAggggAACCCCAAAIIIIAAAggggAACngpwA8DTiSEtBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRcBLgB4KJHWwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEPBXYphRstXIbOaJF1m9or1WFspQCWKaEohoCCCCAQN0FuCbVnZgOEEAAAQRSCHA9SoFEFQQQQAABBBBoWgGN35V4B0DTLh8GjgACCCCAAAIIIIAAAggggAACCCCAAAIIIFBkAW4ANGh2WxfcqtJT29LlznFcY7i2NwPQiGFMXV018vAhhkYOeIanFp6hhdb56mrK+tSdE9fnTl/WhS95sD7116frGnV9zvFlbWnkobE+NfIoypzgqX++V0bM98iH9eVDDkZPY436MhbXPFzb41l5PuKp7+FqyvmuOyd4+udZmRGPXAS4AeCiR1sEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBDwV4AaApxNDWggggAACCCCAAAIIIIAAAggggAACCCCAAAIIuAjwJcAuehnamrcSXTTrArnm2ut7Wh126EHl/bi3faUtN0F8iJGUg3aemzdvLvsNGzas/DOtV6PzLCcX+Y+veeb1NEOrZmrHGVdujts61dpHy32JkSVPbc+oR1IeSeV4GgH39WfXr4mVZJ5UrhEjqY9ouVmf9bomRfsx47Kbplcj+jB5J/Vjy+PO97gYmhZxfZjjth+bpzkW3Wy5OVatTlK5aWfrVGsfLTf7SXVseVbPaD82hjkW3eqRZzS+2bd9mH3XPJLaZ+mjnp5xeWhaxPVhjtt+NL1M3OjWu4/+8DT59M4jmmOWclM3ySupPC6GzTFLufGs1/UoLg9z3OZar7Fq9JE3RtwaTRprUrnJJ6lOUrlGjEb0Ec2z6J7RsZp9u9lzxDxOMk8qj8bI6xmNYfajm801KY+kchMzqU5SuUaMLH3g6T5nUW/jaV9fsmtMa31F+7GxzU8b3+wn1XEt1+gjSwy7Pk86cbJpxuYgoPElwFJK2HYbPiKhBsVpBOa3LiyZf67bkrZlriFKrjFc25sBaMTQMNXIw4cYGjngGZ5aeIYWWuerqynrU3dOjKfr9d11Tn1ZWxp5sD7116cxddlYn6Gexvo00VxNXdtr5KARA0+jGG6u82o8Xa9HJhvXPDRi+JCDGYfGGvVlLK55uLbH0wiEG56hhdnT8HCNwfmuOyd4+udZmVHzPtL4XYmPAHK4A0NTBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQR8FeAjgHydGfJKFDAfq2Q23k6USJWqAp6pmFJXwjM1VaqKeKZiylRJ5W2EmXosbmXWp+7c4omnroBuNNanrqeJxvVI15Q1iqeugG401ieeugJE81mA811vdjR+V+IGgN58EAkBBJpVYOtaue/un8uLT/xQ5qzYGFEYLLuMO0lO2vdTss/Ew2T0kEGRMnYR6F8BjV8i+ncE9I4AAgggUAQBrkdFmEXGgAACCCCAAAL1EtD4XYmPAKrX7BAXAQSKLxC88H/3jCNkr88eJee2vSQfPvg/ZM2Gdllv/z19l5yxr8jPbp4hx3x2tBw5405Zu7Wz+C6MEAEEEEAAAQQQQAABBBBAAAEEEEDACwFuADRoGsxbX+zbX1y6jPvW7ywxXWO4tje5asTQMNXIw4cYGjngGZ5FyZ5vy4ZHvidHfuEoOXtRu+w1/XZ5YsllcsrRo2VId5iy5+L/lqOmnSPzfvwjmXN8izy36Bw55sDpctPaLWFnNfaS86jRuLuoKDFYn5Vz7TqvxtN1c83B9F+UGKzPytXkOq94+uepcb66rguNHDRiaKxPjTyK5Gk8XDcfPHzIwThqrFFfxuKah2t7PCvPTDz1PVxNOd915wRP/zwrM+KRiwA3AFz0aIsAAk0oELz4f+9ZcsK0BfJMxw6y9/Q5smDmfj0v/FcFGdQiX/u378vsr+8qsukRuWTSNLl8TbqbAFXjcRABBBBAAAEEEEAAAQQQQAABBBBAAIEUAtwASIFEFQQQQKBLoFO2rrxQTjhjqWwyB3Y9Qb57ZsKL/5Zu0Eg56pLTZezg4EDHWplz7HfkpvVv21J+IoAAAggggAACCCCAAAIIIIAAAgggoC7ADQB1UgIigEBhBbaulEvPvafrxf/gb/7Hnj5ZRmf5Xt+hB8q3p+7ZxdPxhFx51q2ynq8EKOxyYWAIIIAAAggggAACCCCAAAIIIIBAfwtwA6C/Z4D+EUBggAi8JWvnXCl3b+roynfwF+Sgr34kY+4fkFFfHyvBBwGVt46nrpdLF7+SMQbVEUAAAQQQQAABBBBAAAEEEEAAAQQQSCewbbpq1ELAP4GTTpzsX1IDOCM8EyZv64/lrvvbeyoNPuBA+crQ+D//j/McNOprcsiuN8ucjeZGwlZZefWtsvbImdneSdCTRfPsxHk2jwAj9VmA9ak7O3jiqSugG431qetJNH0B1qiuKZ546groRmN96noSTVeA9anr6Rptm1Kw1QoyckSLrN8QvuhVqy5lCCCAQFEFOtdeJmMn3CgbywMcLLtOv0NWztxH4m8BxEm8IvedfIictWJrd4U95ZT775cZoz8Q14DjCNRFgOt7XVgJigACCCCQUYDrUUYwqiOAAAIIIIBAUwlo/K7ERwA11ZIp1mBbF9wq5h+bjgCetRzfknUPr+x+8d/U+6DsuftHa774H+85RFr2/MtIZ7+TF16yNwMih9mtEIj3rKjGAwT6RYD1qcuOJ566ArrRWJ+6nkTTF2CN6priiaeugG401qeuJ9F0BVifup6u0bgB4CqYsr3Wwm9bujxlj/HVXGO4tjeZacSIH2H6Eo08fIihkUN6tfiaGnn4EKNvDn+WrVv+EBn4djJ0x7x/sT9Ydtzpw5FYb8urr70ZeRzu9s0jLEu7V6QYacccV69IFq5jMdck1801B9N/kWLgGQpozGsYLd+eRg5FipFPsbKVq4dre5ONLzEqZfI9ch2La3tfPDWuR76MxZc5ybciK1v5MhbXPFzbV6rkf6SRhw8xNHLIrxi21MijSDFCmXx7RbJwHYvG63auOZhZLFKMfKuSVvUQ4AZAPVSJiQACCKQWeFteeOE30v3VwqlbUREBBBBAAAEEEEAAAQQQQAABBBBAAIEkAb4DIElIqdz+dcuwYcN6Ih526EHl/bi7e2nLTRAfYiTloJ3n5s2by37WNK1Xo/MsJxn5j6955vWMm1c7zrhyc9zW8X9O9pNVMw6SqYs2mbSD7cPyxW+dL8f/9QfLj+w4zAM7lnjPNnn10X+XixevL7c1/xm873R55s4ZMrj7iI3RU6F7x/bjWm7C+RAjKYdonvGe1d8VZa2iMcx+dLN1suRRrb05lhQjqVwjRlIf0XLjedGsC+Saa6/vGVJaj2icnsbBTtr2jRirRh9ZYsStz7gY1iqu3By3dZK86xnD5lDPPqqNNatntRjmWHSzY+lPT5NP2jw086ynpxlTtVztOOPKzXFbp1r7aLkvMWye/eEZ9bB5mGPRzQdPm4PJq1qe1cqNZ72uR3F5mOM2l2p5RsvjYtj2ceXRGHn7yBsjbo0m5ZFU7stYG51n0T3j5rVeazyvZ1yeWc6TRq8dk1t0s6ZJeSSVm5i2Dp6hRdTa7OfxNp729SUbL08c2zZLHqaunddo+ywxktpr9JElhl2ffBlw7xnN/ljjOwDEfAlwrW234SNqFVOWUmB+68KS+ee6LWlb5hqi5BrDtb0ZgEYMDVONPHyIoZEDnuGp1dfz9dLKs/YtmefDrn/7lmaueD1sUGUv3vPPpfa5EyOx9iodMfdXVSLonCd9x1K1q5oHfYgR71kz9YpCH8ZhEvIhD+Ppen33YRw+eRpTlw3PUI/zPbQwe65rQ8NTIw/XcWjkoBEDT6MYbq7zajxdr0cmG9c8NGL4kIMZh8Ya9WUsrnm4tsfTCIQbnqGF2dPwcI3B+a47J3j651mZUfM+0vhdiY8Ayn7jJXcL89ctbAggMBAFPigte3wikvhWeW797yKPXXaHyF4jo18K7BKLtggggAACCCCAAAIIIIAAAggggAACCIQC3AAILdhDAAEEYgQGy8dHtsh2PaWd8vprb0hnz+MsO3+U9hdeDhsM3lu++Dc7hI/ZQwABBBBAAAEEEEAAAQQQQAABBBBAQEmA7wBQgkwTRuUzm9J01CR17Pcq8HliOhOOZ4Ljlvtk2r5nyEr7bb2jzpUVS6bJiJhm8Z7Py02HHyGXrHu73HLwuKvkxzcfJUNj4nC4SyDeE6G8AlyT8sr1bcf67GvicgRPF72+bfHsa+JyBE8XveptuR5Vd8l7lDWaV656Ozyru+Q9imdeuert8KzuwlE/BFifevOg8bsSNwD05iMxksaEJXZCBQQQqJPAW7L2sglyzA3Pd8UfPF6ueOIGOWrooGz9VdxIGC4T598tl47dOVsMaiOgIMA1SQGREAgggAACzgJcj5wJCYAAAggggAACBRbQ+F2JjwBq0AKxd75cu4v7Vu8scV1juLY3uWrEMKaurhp5+BBDIwc8w7OouucHZPQpZ8rEXQZ3Vex4Qm6/74XYjwGq7tkpWx57SB7vfhfB4M+dINO+Ev/if/U8wjzT7BUlRnXPNAJhnaJYmBG5jsX1uVMjhyLFYH2a2Qw3jfXpukZdczCjKUoMjfWp4YFneI7gGVq4nus2kg/ry4ccjIfGOe/LWFzzcG2Ppz3Dun7iqe/hasr5rjsnePrnWZkRj1wEuAHgokdbBBBoLoEhY+Xs2cfILuVRvyFrb14oq7dm+CaArSvliisek/Lr/7scKrOvmiwjM76BoLnAGS0CCCCAAAIIIIAAAggggAACCCCAgIsANwBc9GiLAAJNJjBIhow9Q/5j+mgpvw9g0z1y/uyVsjWNQud6uW/GhXL3puDl/8Gj5ZTrZslRLeHXCqcJQR0EEEAAAQQQQAABBBBAAAEEEEAAAQSyCHADIIsWdRFAAIHg63r3mXm7PHTVocE7ATpk06Iz5MRzl8mGWm8EMC/+Tz9Rznp4o0jwl/9XPHy7zNiHr/1lMSGAAAIIIIAAAggggAACCCCAAAII1FeAGwD19SU6AggUUmA7GXH0D2T1qrly6rgPyzO3nyoHTpgpc+avqrwR8KeX5b55l8i0/Q8KXvwXGfudubLixz/gL/8LuSYYFAIIIIAAAggggAACCCCAAAIIIOCfwLb+pURGCCCAwMAQGNQyXv7l5rEyZW2b3PPky/Li4tNk3IVvRJL/C9l70qly6MmXy7cnHiajh/CB/xEcdhFAAAEEEEAAAQQQQAABBBBAAAEE6iywTSnYavUxckSLrN/QXqsKZSkFsEwJRTUEEEAAgboLcE2qOzEdIIAAAgikEOB6lAKJKggggAACCCDQtAIavyvxEUBNu3wYOAIIIIAAAggggAACCCCAAAIIIIAAAggggECRBbgBMMBmt23pcueMXWO4tjcD0IjRuuBWMf9cNo08fIihkQOe4UrCM7QwexoerjFYn/pzUhkx+yPXOTU9FiUG67Ny/bjOK57+eWqcr67rQiMHjRga61Mjj6J4GguNzQcPH3Iwlhpr1JexuObh2h7PyrMTT30PV1POd/05qYyY/ZHrnJoeixJDY31mnwFaxAlwAyBORvm4WfhsCCCAAAII+CDANcmHWSAHBBBAAAGuR6wBBBBAAAFfBHjB2peZII96CHADoB6qxEQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAoJ8F+BLgBk2AuZN40awL5PxZF/b0eNKJk8v7cX/5krbcBHGNEdfexE6bR1wM214jT40YAz1P3+YkztO3PFk74bmsYaERY6CsnYGep30O7j2Oel2Tevdj1orZbB5mP6mOa7lGHxox4sZhYluPuDppy5spz3qO1Xpr9KERI2ldaPShESMuTxPbmsbVSVveTHnWc6zWW6MPjRjRdVGv65F2niZedLOm0bHkKTdtXGPEtTexfcqznmO149ToQyPGQJmTgZJnPedkoKydgZKnmSuba9z6SlveiHmPy9H0bba0ucbFSdve9OUaI6m9Rh95YlgD05YtnwBfApzPjVYIIIBA3QVeffV38s4779S9HzpAAAEEEEAAAQQQQAABBBBAAAEEEEAgVqCUsO02fERCDYrTCMxvXVjSsFzStixNdzXruMZwbW+S04hhTM0/l00jDx9iaOSAZ7iSNDzHf218aeIxk8KgOfY08ihKDNZn5QJynVfj6XpNcs3BjKgoMVif+uvTmLpsRVlbxsB1LBrrUyMP13Fo5KARA0+jGG6u82o8Xa9HJhvXPDRi+JCDGYfGGvVlLK55uLbH0wiEG56hhdnT8HCNwfmuOyd4+udZmVHzPtL4XWnb2DsDFCCAAAII5BJY9uAyWf/CC+W2L77wouy+x+654tAIAQQQQAABBBBAAAEEEEAAAQQQQAABFwG+BNhFL0Nb85lX6ze0Z2hBVQQQGIgCb775plz9/at6Ur/0kkt69tlBwBcBPofRl5kgDwQQQKC5BbgeNff8M3oEEEDAJwFzTeK65NOMkIumAF8CrKlJLAQQaHqBm+bNk0sunl3h8IPrrpODDzm44hgPEOhvAY0vEurvMdA/AggggMDAF+B6NPDnkBEggAACCCCAQP0ENH5X4h0A9Zufisjm27jjvpG7oiIPUgtgmpoqVUU8UzHVrLRp06Y+L/6bBuYdAeadAWz5BVif+e2qteR6VE0l/zHWZ367ai3xrKaS/xie+e2qtcSzmkr+Y8aTTVeANYqnroBuNNYnnroCutFYn3jqCvgVjRsAfs1HYjZtS5cn1kmq4BrDtb3JTyNG0jjTlGvk4UMMjRzSeCXV0cjDhxh5c7jissuqEr20/iW58447qpbVOpg3j2jMIsWIjivPfpEsNMaSxzDaRiOHIsWI2uTZL5KFxljyGEbbaORQpBhRm7z7rh6u7U3evsTIaxht5zoW1/Z4Rmeja9/V1LW91pz0HVn2I76MxTUP1/bZ5aq30MjDhxgaOVQXynZUI48ixcim17d2kSw0xtJXKNsRjRyKFCObHrXrKcANgHrqEhsBBJpGYO3atbL4/sWx473xhhvEvEOADQEEEEAAAQQQQAABBBBAAAEEEEAAgUYJcAOgUdL0gwAChRaYfdFFNcf3+muvy5wbbqxZh0IEEEAAAQQQQAABBBBAAAEEEEAAAQQ0BbgBoKlJLAQQaEqBu+68S55a81Ti2BfecouYdwqwIYAAAggggAACCCCAAAIIIIAAAggg0AgBbgA0Qpk+EECgsALmy32vuLz6Z/9XG3TSOwWqteEYAggggAACCCCAAAIIIIAAAggggAACeQS2zdOINtkFTjpxcvZGtKgpgGlNnsyFeGYmKzeYO2eumI/3SbuZdwose3CZHHzIwWmbUC8QYH3qLgPjedGsC3SDNnE01qfu5OOJp66AbjTWp74n1yN9U92IzR2Nc153/vHEU1dANxrrE09dAb+ibVMKtlopjRzRIus3tNeqQhkCCCDQlALmS33333e/zGPfcacd5bHVq2X77bfP3JYGCGgJcH3XkiQOAggggICLANcjFz3aIoAAAggggEDRBTR+V+IdAEVfJQUeX+uCW8uj4y6tziTjmd3xt7/9rZxz3rlVG15y8WwZN/7r8sUvfr5q+abfbpLd99i9ahkH+wqwPvuacMQfAdan7lzgiaeugG401qeuJ9H0BVijuqZ44qkroBuN9anrSTRdAdanrqdrNL4DwFUwZXuz8O3iT9mkarW2pcurHs9y0DWGa3uTq0aMLGOOq6uRhw8xNHKIM8pyXCMPH2KkzWH06NEyddq0qv+M2377/13VMtMmzYv/afOoNUdFilFrnGnKimThOpaiXI/MvLtaaMVIswZr1fFlHL7kUcsqTZkv4/AljzRmSXVcx+La3uTnS4wkqzTlrmNxbe+Lp8b1yJex+DInadZfUh1fxuKah2v7JKe05Rp5+BBDI4e0ZrXqaeRRpBi1rNKUFcnCdSwar9u55mDmrEgx0qxB6jRGgBsAjXGmFwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEGirAdwA0iNv+dcuwYcN6ejzs0IPK+3F399KWmyA+xEjKgTzL0y1p53WgeMbNqx1nXLk5busMlLFmyfOfv/Ntueba680wy1sjx5olT5uf/UmeViJcn+ZINVNrFVdujts61dpHyzViJPURLd+8eXP5S4DzrNFoHJO33Xwaq8nJhzzj8rBWceXmuK2TNI56xrA51LOPRo+1Pz2zjHWg5Bm3Nlg7RibcrEcj5rURfZiRVevHjjNLeT2vR3F5mOM212rjiJbHxbDt48qjMfL20egY5BmuC415HSiecWNljRuZcLMejZjXRvRhRpbUj2u5Rh8aMbKMw1yToq/Zmf7Tzn2Wfkxcu9n45rFrjKT2Gn3kiREdo2nPll1A4zsAxHwJcK1tt+EjahVTllJgfuvCkvnnui1pW+YaouQaw7W9GYBGDA1TjTx8iKGRA57hqaXhaZ47Xc95jTyKEoP1Ga5PjedQ4+l6fS/K2tLy5HwP16jr2uB8Dy19WZ8aebiuC40cNGJorE+NPIrk6Xo90vDUiOHLnGisUV/G4pqHa3uzLvA0Cl0bnlZCz8PVlPWpOyd4+udZmVHzPtL4XYmPAMp+44UWCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgh4L8ANAO+niAQRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEMguwHcAZDfL3ULlM5ty905DBBBopADneyO16SuPAGs0jxptEEAAAQS0BbgeaYsSDwEEEEAAAQSKJKDxuxLvACjSimAsCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgh0C3ADoEFLoXXBrSo9xX2rd5bgrjFc25tcNWIYU1dXjTx8iKGRA57hWaThaaKxPvVMWZ+hpdlzXaOua1MjhyLFYH2a2Qw3jfXpukZdczCjKUoMjfWp4YFneI7gGVq4nus2kg/ry4ccjIfGOe/LWFzzcG2Ppz3Dun7iqe/hasr5rjsnePrnWZkRj1wEuAHgokdbBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQ8FeAGgKcTQ1oIIIAAAggggAACCCCAAAIIIIAAAggggAACCLgIcAPARY+2CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgh4KsANAE8nhrQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEHAR4AaAix5tEUAAAQQQQAABBBBAAAEEEEAAAQQQQACB/8/e/cBJVtV33j8ERwnBBKHJkixxehg1uhtcibuJiYlGlGyIIMao0SguIARBjCQ8/p+dzM4OCiiRrMMQA86MM4+LMfJHZmR8QjL+2+TBzQKJPq/oI5mdiSGK2sgYjBFxrO1fNafvre66df/8vnX71K3Pfb2arrrnnt/5nff53b5N36kqBBBIVOCw3vw2Kre1s2vCvgP7Rx1CW0UBLCtCcRgCHRDgfO/AInZ8CtRoxxeY6SGAAAITIsD1aEIWijQRQAABBBBAYEUEFL8r8QqAFVk6BkUAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAYLwC3AAYr+9i9G3bdy4+9jzYtXuPp3u/rzeGt78loYhhpl5XRR4pxFDkgGd2aik8LRr1qTOlPjNLe+StUW9tKnLoUgzq01Yz2xT16a1Rbw42m67EUNSnwgPP7BzBM7PwnusxUgr1lUIO5qE451OZizcPb3884xm28B1PvYfXlPNduyZ4puc5mBHPPALcAPDo0RcBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgUQFuAGQ6MKQFgIIIIAAAggggAACCCCAAAIIIIAAAggggAACHgE+BNijV6OvvZRo04b14erNWxZ7nXH6af3HRS/7qtpuQVKIUZYDefaXO1Rd10nxLFrXOM+idtsfj5mUudbJ85KLL2p0viu86uRp4+W3NtdkUvI0n2G5RquidtsfjxnWP9+uiFE2Rr59bm5ubNek/Dg2r7hFC3tedoy3XTHGOGMoLcjTBKqfa2W1ZbHKjilrV8RoYwxFnkUxJqXGLf+Ya5l5WXuRRZ0xFDFWMs9oWTSPYe3jvB4V5aFYk2Fzsbj5LR6zkmti+VTNgzwzK3Mr8/C2K8YYZ4xYN+Mcw2LHcco8FXm0MQZ5ZmuqsFDEKFv3fLtdk2ZmZmzYxa1qjebjLHaef1C1v/XxxijrrxijSYxoYH3ZmgkoPgQ49Eq2E1fPlhxBcxWBrdt29BSWt+66rcpwI4/xxvD2t+QUMczUvjybIo8UYihywDOrJIWnne/Up86U+sws7ZG3Rs3Te03y5qCYRyoxqE9biWzz1gaemaU9SsFTkYd3HoocFDEU9anIo0ue3uuRwlMRI5U1UdRoKnPx5uHtb3WBpyksbHhGCZ2H15T61K4Jnul5DmY0vc8UvyvxFkDNbr7QCwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBpAV4C6AWl0fyko0W8019KHtbJdvOOfus1FOdiPzw1C6Tne/rNmykPkWs1KcIMheGa1IOw/mQ+nQCLumO5xIQ51M8nYBLuuO5BETwlOuRADEXghrNYQge4ilAzIXAM4cheIinAJEQYxOgPnW0it+VuAGgW4/SSIoFKx2EAxBAIAkBzvckloEkRghQoyNwaEIAAQQQaE2A61Fr1AyEAAIIIIAAAhMooPhdibcAmsCFJ2UEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBMoEuAFQJiRqt5e+2NuBeLeiT/WuE9cbw9vfclXEMNP4kqI6888fq8gjhRiKHPDMKkPhadGoT50p9ZlZ2iNvjXprU5FDl2JQn7aa2aaoT2+NenOw2XQlhqI+FR54ZucInpmF91yPkVKorxRyMA/FOZ/KXLx5ePvjGc+whe946j28ppzv2jXBMz3PwYx45hHgBoBHj74IIIAAAggggAACCCCAAAIIIIAAAggggAACCCQqwA2ARBeGtBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ8AhwA8CjR18EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBIV4AZAogtDWggggAACCCCAAAIIIIAAAggggAACCCCAAAIIeAS4AeDRoy8CCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAokKHNab30bltnZ2Tdh3YP+oQ2hDAAEEEFgiwM/OJSA8TU6AGk1uSUgIAQQQmEoBrkdTuexMGgEEEEAAAQQqCih+V+IVABWxOQwBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgUkS4AZAS6u1bfvOYF/ebdfuPd4QwRvD298moIihMFXkkUIMRQ54ZqeWwtOiec95RR5diUF9ZvVpj7zr6q1NRQ5dikF92mpmm6I+vTXqzcFm05UYivpUeOCZnSN4Zhbecz1GSqG+UsjBPBTnfCpz8ebh7Y9nPMMWvuOp9/Cacr5r1wTP9DwHM+KZR4AbAB49+iKAAAIIIIAAAggggAACCCCAAAIIIIAAAgggkKgANwASXRjSQgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAI8CHAHv0avSNL2+dmZlZ7HXG6af1Hxe97KtquwVJIUZZDuo85+bm+n7RtKpX23n2k8z9J9U8m3oWrWucZ1G77Y/HdHFNLrn4orBuw8ZQtz4VXl30VNenov5i/SrWTBGjbN3z7ea5acP6cPXmLTZ0f4vzyR8X2+y7qt1iTcIYdfIsqs+iGNGyqN32x2PKrMYZI+YwzjGGzbWu57AYti+/xbmspKflUzUPZZ7j9LQ5Dcs1zrOo3fbHY4b1z7enEiPmuRKeeY+Yh+3Lbyl4xhwsr2F5Dms3z3Fdj4rysP0xl2F55tuLYsT+Re35GE3HaBqjqEbL8ihrT2WubefZdc+idR1XjTf1LMqzznnSdu1YbvktmpblUdZuMeMxeGYWeWt73MTbPOP/v8d4TeLEvnXysGPjuub714lR1l8xRp0YsT7POfuspVPieU0BxYcAh17JduLq2ZIjaK4isHXbjp59ebdbd93mDdHzxvD2twkoYihMFXmkEEORA57ZqaXwtJ+d3nNekUdXYlCfWX0qfoaap/f63pXaUnlyvmc16q0NzvfMMpX6VOThrQtFDooYivpU5NElT+/1SOGpiJHKmihqNJW5ePPw9re6wNMUFjY8o4TOw2tKfWrXBM/0PAczmt5nit+VeAugmnddOBwBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgUkQ4C2AJmGVyHGoQHxbJV5ONJSn9k48a5ON7GAv0bK3AKI+RzJVbqQ+K1NVPlDyMsLKo3X7QOpTu7544qkV0EajPrWeFo3rkdaUGsVTK6CNRn3iqRUgWsoCnO+61VH8rsQNAN16EAkBBBBYFFD8gF4MxgMExiBAjY4BlZAIIIAAArUFuB7VJqMDAggggAACCEyRgOJ3Jd4CqMWCsQVjQwABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgDQFuALShPD9GfOmLd7iiT/WuE9cbw9vfclXEMFOvqyKPFGIocsAzO4sUnhaN+tSZUp+ZpT3y1qi3NhU5dCkG9WmrmW2K+vTWqDcHm01XYijqU+GBZ3aO4JlZeM/1GCmF+kohB/NQnPOpzMWbh7c/nvEMW/iOp97Da8r5rl0TPNPzHMyIZx4BbgB49OiLAAIIIIAAAggggAACCCCAAAIIIIAAAggggECiAtwASHRhSAsBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAY8ANwA8evRFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBRAW4AJLowpIUAAggggAACCCCAAAIIIIAAAggggAACCCCAgEeAGwAePfoigAACCCCAAAIIIIAAAggggAACCCCAAAIIIJCowGG9+W1Ubmtn14R9B/aPOoS2igJYVoTiMAQ6IMD53oFF7PgUqNGOLzDTQwABBCZEgOvRhCwUaSKAAAIIIIDAiggoflfiFQArsnQMqhDYtn1nsC82jQCeGsd8FOozr+F7TH36/Og9XgHqU+uLJ55aAW006lPrSTS9ADWqNcUTT62ANhr1qfUkmlaA+tR6eqNxA8ArWLG/Fb5i27V7jzuMN4a3v01AEcMNIcpDMRdvDG9/haXFUOSRQgxFDgpTRR5diuE17ZKFdy6Ka5I3hy79zPDWZtcsFLXhNVXk0KUYXk9FjeI5uApeD29/xZoqYiiuR4o8FDFSWRObi3dLZS7ePLz9vY6xvyKPFGIocogmnu+KPLoUw2Npfbtk4Z2L4g/W3hy6tibe+qS/ToAbADpLIiGAAAIIIIAAAggggAACCCCAAAIIIIAAAgggkIwANwCSWQoSQQABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBAJ8CHAOssR0aylxJt2rA+XL15y+JxZ5x+Wv9x0UuEqrZbkBRilOWgznNubq7vNzMz0/9e1avtPPvJ5f6Tap5NPW1qw0zjPIvabX88Zlj/fHsqMerkecnFF4V1GzaGuvWpmGudPG28/NbmmtTJU12fNmfvXGN/i1U2l7J2RYyyMfLt5jmua1J+HJtX3JRebYxheZeNE9uL6rMohtKiaAzbH8eJedq+/Bbbbd+wY8rarV88Zlj/fLs9Ljsmttf1zI8TY9i+/DaOPPPx7XEcwx578yjrX2eMcXoW5aG0KBrD9sdxlF4WN78tHWMlPC2fpXnkc6zTbseWeZW1F8WIOdZpN89xXY+K8rD9MddxzVUxRtMYRTVaNteydsun7JiydkWMNsbI59l1z/xc7XHc4jliz8vMy9rzMZp65mPY4/wWcy3Lo6zdYpYdU9auiFFnDDz9a5b3Ns/4/++xxlT1lR8nxrbvMb49LjvG264Yo06MWJ/nnH2WdWNzCCg+BDj0SrYTV8+WHEFzFYGt23b0FJa37rqtynAjj/HG8Pa35BQxzNS+PJsijxRiKHLAM6skhaed79SnzpT6zCztkbdGzdN7TfLmoJhHKjGoT1uJbPPWBp6ZpT1KwVORh3ceihwUMRT1qcijS57e65HCUxEjlTVR1Ggqc/Hm4e1vdYGnKSxseEYJnYfXlPrUrgme6XkOZjS9zxS/K/EWQI47MHRFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBVAd4CqMWVkbxko8V8Ux/K3lbJNl5OpFkpPDWOMYqd7/YWQNRnFPF9pz59fsN6c00aptJsH/XZzK2oF55FMs3249nMragXnkUyzfdzPWpuN6wnNTpMpfk+PJvbDeuJ5zCV5vvwbG5Hz/ELUJ86Y8XvStwA0K1HaSTFgpUOwgEIIJCEAOd7EstAEiMEqNERODQhgAACCLQmwPWoNWoGQgABBBBAAIEJFFD8rsRbALW08PHOl3e4og/9qBPXG8Pb33JVxKgz56JjFXmkEEORQ5FRnf2KPFKIocihjlvRsYo8uhSjyKnq/i5ZeOeiuCZ5c7B161KMqnVYdFyXLBRzKXKqul+RQ5diVHUbdZzXw9vfckslxiinqm3euXj7p+KpuB6lMpdU1qRqDY46LpW5ePPw9h9lVKdNkUcKMRQ51HErOlaRR5diFDlV3d8lC+9c7JrkvS55c7B161KMqnXIceMX4AbA+I0ZYUwCih/OY0ptIsPiqV827y8P+owmNyL1OblrNw2ZU5/aVcYTT62ANhr1qfUkml6AGtWa4omnVkAbjfrUehJNK0B9aj290bgB4BWs0d/eD5wNAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIE2BLgB0IYyYyCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg0LIANwBaBmc4BBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQTaEOAGQBvKjIEAAggggAACCCCAAAIIIIAAAggggAACCCCAQMsCh/Xmt1Fjrp1dE/Yd2D/qENoqCNiHX9h2ztlnVTiaQxBAYNIF+Nk56SvY7fztmrRpw3qu791eZmaHAAIIJC/A9Sj5JSJBBBBAYGoE+Lvd1Cz1xE1U8fclbgBM3LKTMAIITIKA4gf0JMyTHCdXgBqd3LUjcwQQQKBLAlyPurSazAUBBBBAAAEE1AKK35V4CyD1qow53q7de9wjeGN4+9sEFDHs7my8Q9sURZFHCjEUOeCZVZHC06JRnzpT6jOztEeqGh2MWu+ZIoeuxKA+B2vHu654pudpGXnX1dtfkYMihqI+FXl0xdMsFFsKHinkYJaKGk1lLt48vP3xHDw78dR7eE053/VrMhix/jPvmtqIXYmhqM/6K0CPIgFuABTJiPdT+GJQwiGAAAIINBawaxIbAggggAACKy3A9WilV4DxEUAAAQSiAH+3ixJ876IANwC6uKrMCQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQGDqBfgMgJZKYNi/bokfCDyszdKq2m7HemMU9a+TR1GMOA9FnooYk55namtS5Jlanm3Xjn3A6roNG23Y/hbPgyKv2G4Hlx3jbVeMoYhRNA+LHT2KjqnaTp7Flk1rNOU1iXWhWHdFjCIrix1zLTqmavs05TnOuUZvxRiKGGV1oRhDEaMoT4sdTYuOqdo+TXmOc67RWzGGIka+LsZ1PVLnafHyWzTNz6VJu/Xxxijqb7FTynOcc43zVIyhiDEpazIpeY5zTSaldiYlT1urmGtRfVVtb2Pdi3K0sW2rmmtRnKr9bSxvjLL+ijGaxIgG1petmQCfAdDMjV4IIIAAAggggAACCCCAAAIIIIAAAggggAACCHRfoFeynbh6tuQImqsIbN22o2df3u3WXbd5Q/S8Mbz9bQKKGApTRR4pxFDkgGd2aik87Wen95xX5NGVGNRnVp+Kn6Hm6b2+d6W2VJ6c71mNemuD8z2zTKU+FXl460KRgyKGoj4VeXTJ03s9UngqYqSyJooaTWUu3jy8/a0u8DSFhQ3PKKHz8JpSn9o1wTM9z8GMpveZ4nclPgOg+/d4mCECCCCAAAIIIIAAAggggAACCCCAAAIIIIDAFApwA6ClRbf3vOJ9r1rCZhgEEEAAgZECXI9G8tCIAAIIINCSANejlqAZBgEEEECgVIC/25USccAEC/AhwBO8eKSOAALpCig+pCXd2ZFZFwSo0S6sInNAAAEEJl+A69HkryEzQAABBBBAAIHxCSh+V+IVAONbn4HI9mncRZ/IPXAgTxBAAAEEEBizANejMQMTHgEEEECgkgDXo0pMHIQAAggg0IIAf7drAZkhVkyAGwArRt9s4F279zTrmOvljeHtb6koYih+OCvySCGGIgc8s5NE4WnRvP9Tq8ijKzGoz6w+7ZFiXQcj1n+myKErMajPwfrxriue6XlaRt519fZX5KCIoahPRR5d8TQLxZaCRwo5mKWiRlOZizcPb388B89OPPUeXlPOd/2aDEas/8y7pjZiV2Io6rP+CtCjSIAbAEUyY9i/acP6MUQlJAIIIIAAAggggAACCCCAAAIIIIAAAggggAACywW4AbDchD0IIIAAAggggAACCCCAAAIIIIAAAggggAACCEy8ADcAJn4JmQACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAssFuAGw3IQ9CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAghMvMCjJn4GEzKBc84+K/AZANrFMlM2nQCeOssYCdMo4f+Opd8wH8E8uSblRXyPqU+f39LeeC4V8T3H0+e3tDeeS0V8z82T65HPcGlvanSpiO85nj6/pb3xXCrie46nz29pbzyXivie4+nzU/c+rDe/jQq6dnZN2Hdg/6hDaKsogGVFKA5DoAMCnO8dWMSOT4Ea7fgCMz0EEEBgQgS4Hk3IQpEmAggggAACCKyIgOJ3Jd4CaEWWjkEVAtu27wz2xaYRwFPjmI9CfeY1fI+pT58fvccrQH1qffHEUyugjUZ9aj2JphegRrWmeOKpFdBGoz61nkTTClCfWk9vNG4AeAUr9rfCV2y7du9xh/HG8Pa3CShiuCFEeSjm4o3h7a+wtBiKPFKIochBYarIo0sxvKZdsvDORXFN8ubQpZ8Z3trsmoWiNrymihy6FMPrqahRPAdXwevh7a9YU0UMxfVIkYciRiprYnPxbqnMxZuHt7/XMfZX5JFCDEUO0cTzXZFHl2J4LK1vlyy8c1H8wdqbQ9fWxFuf9NcJcANAZ0kkBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQSSEeAzAFpaCruTaB9wdfXmLYsjnnH6af3HRXcIq7ZbkBRilOVAnv3lDlXXdVI8i9Y1zrOo3fbHYyZlrnXyvOTiixqd7wqvOnnaePmtzTWZxIirZQAAQABJREFUlDzNZ1iu0aqo3fbHY4b1z7crYpSNkW+fm5sb2zUpP47NK27Rwp6XHeNtV4wxzhhKC/I0gernWlltWayyY8raFTHaGEORZ1GMSalxyz/mWmZe1l5kUWcMRYyVzDNaFs1jWPs4r0dFeSjWZNhcLG5+i8es5JpYPlXzIM/MytzKPLztijHGGSPWzTjHsNhxnDJPRR5tjEGe2ZoqLBQxytY9327XpJmZGRt2catao/k4i53nH1Ttb328Mcr6K8ZoEiMaWF+2ZgKKzwAI9iHAo7YTV8+OaqatosDWbTt6Cstbd91WccTiw7wxvP0tM0UMM7Uvz6bII4UYihzwzCpJ4WnnO/WpM6U+M0t75K1R8/Rek7w5KOaRSgzq01Yi27y1gWdmaY9S8FTk4Z2HIgdFDEV9KvLokqf3eqTwVMRIZU0UNZrKXLx5ePtbXeBpCgsbnlFC5+E1pT61a4Jnep6DGU3vM8XvSrwFULObL/RCAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBpAW4AJL08JIcAAggggAACCCCAAAIIIIAAAggggAACCCCAQDMBPgOgmVujXpL3bGo0Mp0QQKBtAc73tsUZr64ANVpXjOMRQAABBMYhwPVoHKrERAABBBBAAIGuCCh+V+IVAF2pBuaBAAIIIIAAAggggAACCCCAAAIIIIAAAggggEBOgBsAOYxxPty2fackfNGnetcJ7o3h7W+5KmKYqddVkUcKMRQ54JmdRQpPi0Z96kypz8zSHnlr1Fubihy6FIP6tNXMNkV9emvUm4PNpisxFPWp8MAzO0fwzCy853qMlEJ9pZCDeSjO+VTm4s3D2x/PeIYtfMdT7+E15XzXrgme6XkOZsQzjwA3ADx69EUAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIFEBbgAkujCkhQACCCCAAAIIIIAAAggggAACCCCAAAIIIICAR4AbAB49+iKAAAIIIIAAAggggAACCCCAAAIIIIAAAgggkKgANwBaXJh1Gza2OBpDIYAAAggggAACCCCAAAIIIIAAAggggAACCEyzADcApnn1mTsCCCCAAAIIIIAAAggggAACCCCAAAIIIIBAZwUO681vo2a3dnZN2Hdg/6hDaEMAAQQQWCLAz84lIDxNToAaTW5JSAgBBBCYSgGuR1O57EwaAQQQQAABBCoKKH5X4hUAFbE5DAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBSRLgBkBLq7Vt+85gX2w6AUx1lhYJT61nNNVHnc6I1Kd23bke6T0x1ZlyvussLRKeeGoFtNH42an1tGic81pTPPHUCmijUZ94agW00ahPrac3GjcAvIIt99+1e497RG8Mb3+bgCKGG0KUh2Iu3hje/gpLi6HII4UYihwUpoo8uhTDa9olC8Vc8MwE8NRa4Nk9T5uRd129/RU5qGJYHO/m9fD2t/xTieG1TGUueA6uZAoeihwGZ9XsmSKPFGIocmgmONhLkUeXYgzq1H/WJQvFXOoLDvZQ5NClGIM6PFtJAW4ArKQ+YyOAAAIIIIAAAggggAACCCCAAAIIIIAAAgggMCYBPgR4TLBLw9pLX2ybmZlZbDrj9NP6j4vu7lVttyApxCjLgTz7yx2qruukeBata5xnUbvtj8dMylzr5HnJxReFqzdvsWn2tzbnWifPmF/8Tp5RIqtP2zPMNFoVtdv+eMyw/vl2RYyyMfLtc3NzYdOG9Y1qNB/H8o5bSnO1nFLIsyiPaFXUbvvjMWXzGGeMmMM4x2h7rivpWWeuk5JnUW1QOyaTbdGjjXVtYwyb2bBx4jzrtI/zelSUh+2PuQ6bR769KEbsX9Sej9F0jLZjkGdWF4p1nRTPorlS4yaTbdGjjXVtYwybWdk43nbFGIoYdeZh16T83+xs/KprX2ccixu3GN+ee2OU9VeM0SRGfo7Wn62+gOJDgEOvZDtx9WzJETRXEdi6bUfPvrzbrbtu84boeWN4+9sEFDEUpoo8UoihyAHP7NRSeNrPTu85r8ijKzGoz6w+FT9DzdN7fe9Kbak8Od+zGvXWBud7ZplKfSry8NaFIgdFDEV9KvLokqf3eqTwVMRIZU0UNZrKXLx5ePtbXeBpCgsbnlFC5+E1pT61a4Jnep6DGU3vM8XvSrwFUP0bL/RAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCB5Ad4CqKUlim8BdM7ZZ7U0YveHwVS7xnhqPe0lWus2bAyc8xpX6lPjGKOYp70F0L4D++MuvjsEqE8H3pCueA5BcezC04E3pCueQ1Acu8yT65EDcEhXanQIimMXng68IV3xHILi2IWnA29IVzyHoDh24enAW9JV8RZA3ABYgspTBBBAQCGg+AGtyIMYCBQJUKNFMuxHAAEEEGhTgOtRm9qMhQACCCCAAAKTJqD4XYm3AJq0VSdfBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQqCHADoAKS4hB76Ut8+YsnXtGneteJ6Y3h7W+5KmIoTBV5pBBDkQOe2Vmk8LRo3nNekUdXYlCfWX3aI++6emtTkUOXYlCftprZpqhPb416c7DZdCWGoj4VHnhm5wiemYX3XI+RUqivFHIwD8U5n8pcvHl4++MZz7CF73jqPbymnO/aNcEzPc/BjHjmEeAGgEePvggggAACCCCAAAIIIIAAAggggAACCCCAAAIIJCrADYBEF4a0EEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDwCHADwKNHXwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEhXgBkCLC7Npw/oWR2MoBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgWkW4AbANK8+c0cAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDorMBhvflt1OzWzq4J+w7sH3UIbRUFsKwIxWEIdECA870Di9jxKVCjHV9gpocAAghMiADXowlZKNJEAAEEEEAAgRURUPyuxCsAVmTpGBQBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgfEKcANgvL6L0bdt37n42PNg1+49nu79vt4Y3v6WhCKGmXpdFXmkEEORA57ZqaXwtGjUp86U+sws7ZG3Rr21qcihSzGoT1vNbFPUp7dGvTnYbLoSQ1GfCg88s3MEz8zCe67HSCnUVwo5mIfinE9lLt48vP3xjGfYwnc89R5eU8537ZrgmZ7nYEY88whwA8CjR18EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBIV4AZAogtDWggggAACCCCAAAIIIIAAAggggAACCCCAAAIIeAT4EGCPXo2+9lKiTRvWh6s3b1nsdcbpp/UfF73sq2q7BUkhRlkO5Nlf7lB1XSfFs2hd4zyL2m1/PGZS5lonz0suvqjR+a7wqpOnjZff2lyTScnTfIblGq2K2m1/PGZY/3y7IkbZGPn2ubm5sV2T8uPYvOIWLex52THedsUY44yhtCBPE6h+rpXVlsUqO6asXRGjjTEUeRbFmJQat/xjrmXmZe1FFnXGUMRYyTyjZdE8hrWP83pUlIdiTYbNxeLmt3jMSq6J5VM1D/LMrMytzMPbrhhjnDFi3YxzDIsdxynzVOTRxhjkma2pwkIRo2zd8+12TZqZmbFhF7eqNZqPs9h5/kHV/tbHG6Osv2KMJjGigfVlayag+BDg0CvZTlw9W3IEzVUEtm7b0VNY3rrrtirDjTzGG8Pb35JTxDBT+/JsijxSiKHIAc+skhSedr5TnzpT6jOztEfeGjVP7zXJm4NiHqnEoD5tJbLNWxt4Zpb2KAVPRR7eeShyUMRQ1Kcijy55eq9HCk9FjFTWRFGjqczFm4e3v9UFnqawsOEZJXQeXlPqU7smeKbnOZjR9D5T/K7EWwA1u/lCLwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEkhbgLYBaXJ6qL9l4eO+bwtPO/VD4zrLcVoeXbP2TcPkpxy1rWb7ji+H6F5wZ3vHZ5VEWjj0inPS2j4Rbzn/S8q4TssfeVsm2c84+a0IyTjtNPLXrY+f7ug0bqU8RK/UpgsyFqXpNynXhYYEA9VkA03A3ng3hCrrhWQDTcDeeDeFGdON6NAKnQRM12gBtRBc8R+A0aMKzAdqILniOwKFpxQWoT90SKH5X4gaAbj1KI9VbsEPh4N27wh/fsC28+0OfDQ/H6KueEd7ysW3hvLVHxD0l3y3O1vCGC98Z9t4XwvHPfUPYfNW54eSjDy/pRzMCCHgE6p3vnpHoi0AzAWq0mRu9EEAAAQS0AlyPtJ5EQwABBBBAAIFuCSh+V+ItgJKticPD0Se/MFxw5R+Hj113djhp1SOJPnxHeMcrNoaPHzxUMXOL84pw0a+tmT9+TTjz4lfwx/+KchyGAAIIIIAAAggggAACCCCAAAIIIIAAAghMsgA3AFpavfjSl/rDHRFmT315OP0puX/xf98N4cJzt4Z9Ve8BhFXhccf8yPzQPxKOOXpV4SeLV82t6JPFq/a34xQxzLS560K2ijxSiKHIAc+sghWeFo361JlSn5mlPfLWqLc2FTl0KQb1aauZbYr69NaoNwebTVdiKOpT4YFndo7gmVl4z/UYKYX6SiEH81Cc86nMxZuHtz+e8Qxb+I6n3sNryvmuXRM80/MczIhnHgFuAHj0VrDvw3e9M7zqLbeHgyuYA0MjgAACCCCAAAIIIIAAAggggAACCCCAAAIIpCvADYB012ZZZkf8+pvDS0865pH9D4f7PrQxvPnGfaHyCwGWRWQHAggggAACCCCAAAIIIIAAAggggAACCCCAQFcFuAEwSSt7+JPCz77yJeElx8cPBLg33P7mN4Sr7rx/kmZBrggggAACCCCAAAIIIIAAAggggAACCCCAAAItCHADoAVk6RA/9O/CZR94Qzg53gN4+O7w3tduCDft/450GIIhgAACCCCAAAIIIIAAAggggAACCCCAAAIITLYANwBaXL91GzZKRjt87bnh+ve+PBwfo923O7z19deEOw/yZkCRhO8IIIAAAggggAACCCCAAAIIIIAAAggggMC0CxzWm99GIaydXRP2Hdg/6hDaxi7wxXD9C84M737ylvDXVz4nLPzj/++EfdedE55/2R3h4f74q8LxL70mfPTKU8PRy/J5OBy47hXhuZeF8JaPfyCctya+fGDZgexAAAGRAD87RZCEGZsANTo2WgIjgAACCNQQ4HpUA4tDEUAAAQQQQGDqBBS/K/EKgIktmyPC2nM3hbf/8gmPzMA+FPjScN51X+BDgSd2TUkcAQQQQAABBBBAAAEEEEAAAQQQQAABBBDQCXADQGc5MtK27TuDfXm3j+7ek4U4fG140ZVXhgue+thH9j0Y7r7sNeFte7+eHTPk0a58jCHtZbu8/S2+IobCVJFHCjEUOeCZVb7C06J5z3lFHl2JQX1m9WmPvOvqrU1FDl2KQX3aamaboj69NerNwWbTlRiK+lR44JmdI3hmFt5zPUZKob5SyME8FOd8KnPx5uHtj2c8wxa+46n38JpyvmvXBM/0PAcz4plHgBsAHr0U+h79c+HSd78u+1Dg8PfhTy747XD9Pj4UOIXlIQcEEEAAAQQQQAABBBBAAAEEEEAAAQQQQGClBLgBsFLywnGXfSjww3eEd7xiY/g4HwosVCYUAggggAACCCCAAAIIIIAAAggggAACCCAwWQJ8CHBL6xVf3jozM7M44hmnn9Z/XPSyr6z9fWHvFVeEPf/6vHD5K08Khz8SIbbb0127PxK++mfXhCtvueeRzwA4PPzISS8PN93yX8Ps4Q+HrZecFi67JYQXrH99OOVHH/VIhBAGY+TeXmjxiOyY8jxH91/Ic/QxZWPkY8zNzfWzjKZxLmUxytrzY/QHyP2n6hiKGG3n2dSzaK7Rqqjd9sdj2p6rjZ3fquZRJ89LLr4orNuwMdStT8urbBxvu2IMRYyyeeTHUNenxa667vk87HHcYn97XjaXsnZFjLIx8u3muWnD+nD15i1xOpU98nEWO88/iB5l7W3MVTFGnRhF9VkUI1oVtdv+eEwbnkV5xByK2seVZ13POnmspOdK5TlOz6LaWKnasXzymzKPWDsr4WlzinOJeeTnWafdjh1XjJhj0RjD2s1zXNejojxsf8ylzKIoRuxf1K4Yo2mMohotm2tZeypzbTvPrnsWreu4arypZ1Gedc6TtmvHcstv0bQsj7J2ixmPwTOzyFvb4ybe5hn//z3GaxIn9q2Thx0b1zXfv06Msv6KMerEiPV5ztlnLZ0Sz2sKKD4EOPRKthNXz5YcQXMVga3bdvTsq9n2//euO+PJvX/zhr29m3fdNiLE13p73/Dsnq3ZwtdJvTMv/8veA73v9vb/0Uvm972kd93//m7v1pExRoR/pMnb38IoYvhMFyajyCOFGIoc8HykwEX1aedg83O+W/Vps/HWKPW5UBPxvwpP7/Xdm4OiLlKJQX3Gylz47q0NPNPzVJxr3rpQ5KCIoahPRR5d8vRejxSeihiprImiRlOZizcPb3+rCzxNYWHDM0roPLym1Kd2TfBMz3Mwo+l9pvhdibcAqnnXJe3DjwvPees7Bj4U+HPXvjG8+cZ9j7wqIO3syQ4BBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBAJ8BbAOksxxjpi+H6F5wZ3v3kLeGvr3xOWFUy0qH9Hwqvffm6cPt9Dy8cuerfhlN+/pth7yd/LLzl4x8I560pi1AyQCLN8W2VeDmRZkHw1DjGKPYSLXsLIOozivi+U58+v2G9JS8jHBZ4CvdRn9pFxxNPrYA2GvWp9bRoXI+0ptQonloBbTTqE0+tANFSFuB8162O4nclbgDo1mOMkerdAAjz/97/4J1Xh7Nftjl87pF7AAvJ/YdO3QAYIzihEXALKH5Au5MgAAIjBKjRETg0IYAAAgi0JsD1qDVqBkIAAQQQQACBCRRQ/K7EWwBN2MJ/dPfwD9EdnMbh4einvzZc9cZnDH21QNEHgwzGKH7m7W+RFTGKM6zeosgjhRiKHKqrFR+pyCOFGIocipWqtyjy6FKM6nLDj+yShWIuw5Wq71Xk0KUY1eWGH9klC8VchitV36vIoUsxqssVH+n18Pa3zFKJUaxUvcU7F29/PJevldfU21+1JstnVn9PKnPx5uHtX19ueA9FHinEUOQwXKjeXkUeXYpRT2/50V2yUMxluVC9PYocuhSjnh5Hj1OAGwDj1M3Ftpe+xJe/5HbXenjo/gfCv1TucURYe/5/C9e+dHXlHpN2oMJ00uY8znzx1Ot6z3l9RpMbkfrUrh21qffEVGfK+a6ztEh44qkV0EbjZ6fW06JxzmtN8cRTK6CNRn3iqRXQRqM+tZ7eaNwA8Aq20f/Qg+Eb3zgUHv76/TVuAFhi8x8K/I4/DG/56ce2kSVjIIAAAmMT2LRh/dhiExgBBBBAAAEEEEAAAQQQQAABBBDoqgA3AJJf2fvD3VvfGz5y7/yb+X92R7j5z/aFg3VyPvzJ4Zyr1oVTj+/GB//WmTrHIoAAAggggAACCCCAAAIIIIAAAggggAAC0yzADYBUV3//deGFs2vC2tl/H1582e3hvn6e94a/veWq8PT+/peG6/cPfMJv4UwOX/Pr4fJrLggncQ+g0IgGBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgawKP6tqEOjOfNeeHWw6cv2w69mEgZ5x+2rL9o3csfCjw1e/9qfDA434g3Dv6YFoRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEOiBwWG9+GzWPtfP/2nzfgf2jDqGtgoB9+IW9hzWWFbA4BIEOCPCzU7OId999d7j1lo+EHe9/f/gPP/Mz4SlPeUp4wQvPDCeffLJmgCmNwjVJt/D33XdfuOvOu8KXv/yP4bGP/eHw7F96djj++ON1AxAJAQQQ6LAA16MOLy5TQwABBCZMwK5Jtp1z9lkTljnpdl1A8fclbgC0WCWKBWsxXYZCAAGHAOe7A2++67e+9a1w8UWvDZ/+1KfC93vfDz9w2A+Eh777UHjMox/TD/za170u/O6lv+sbZMp7U6O+ArAafcfb3x4++N9vWBboF5/1rLB5yzXhqKOOWtbGDgQQQACBQQGuR4MePEMAAQQQQAABBPICit+V+AyAvOgEPLa3APJu3hje/pa/IobdnY13aJuaKPJIIYYiBzyzKlJ4WjTqs7lp/OP/Pz34T+Hef/zHsP/vD4Qvf+Ur4Uv3/kP4l+98J1zznveE37/q97MBKjxSrGuXYlQgG3lIlyyazOVVr3xl/4//Vo9f+ep9/Rq17//87W/3b1z9xkte2r+RNRIx19gkh1z3/sOuxOB6NLiy3nVVeFpG3jy8/RU5KGLgaYrZpljXLFrzR4o8vDG8/W32ihiKGlXkkUIMRQ54ZuclnpmF6nz1mlKf+jUZjFj/mXdNU6ktRR6K+qy/AvQoEuAGQJGMeL8VPhsCCCCAQLmAve2P/ct/++P//d/4Rjh06NBiJ3t83/wfWeNNAHv7Fbb6AlyT6pvle1x/3XXhb/76b8LBbx7s1+N35m8C2Gbfv/b1r4VvPPBA+MLnPx+ueue78t14jAACCCCwRIDr0RIQniKAAAIIrJgAf7BeMXoGbkGAGwAtIDMEAggggEB1AXvPf3vbn4Pf/GZhp2888I1+2+5duwqPoQGBcQnseP+O/ltSPXDw4NAhvvlP3+y/EsA+u8LeKogNAQQQQAABBBBAAAEEEEAAgZUS4DMAWpK3O4n2IcBsCCCAAAKjBeyz6b/78Hf7b/kz6sg1q2dHNdOGwFgF4itUigZ57FGPDTPHHlvUzH4EEEAAAQQQQAABBBBAoPMC+w7s7/wcxz1BxWcAPGrcSRJ/UGDdho2LO+Inixe99LVquwX0xijqb7Gr5lEUI/ZX5KmIMel5prYmRZ6p5UntZOeywkIRo6h2tr/v+rBv3z02ROn23FN/OfzcM39h2XHKnztFedqgcZyiY6q2WyxvjLr97ab0OK5JZXm0MVfFGEUx7v2Hfwjb33dd+N73sremsmOXboe+v9B+9qvPDyf8xE8sbZ6I2rGkq9ZwG+tu+ZSN421XjKGIUTYPxRiKGEV5WuyUamdS8hznmsT1UIyhiJFfk3Fdj9R5Wrz8Fk3zc2nSbn28MYr6W+yU8hznXOM8FWMoYkzKmkxKnuNck0mpnUnJ09Yq5lpUX1Xb21j3ohxtbNuq5loUp2p/G8sbo6y/YgxPDOvLtoIC8//ScuR24urZke00VhPYum1HT2F5667bqg044ihvDG9/S00Rw0zty7Mp8kghhiIHPLNKwjOzsEcKjzoxNqz/vf7Py8c8+tG9w0IY+vVDRx7ZP+aDN3xwMNkRz+rkUBSmKzEU16SuWNha152LXc9/dGZmaG3Gmj3m6KP7NfqVr3ylqJwG9tfNYaDzI0+6EoPr0eDqetdV4WkZefPw9lfkoIiBpylmm3ddFdcjy8abhyJGCjnYPBQ1mspcvHl4++NpAtmGZ2ZhjxQe3hic79o1wTM9z8GMpveZ4u/JfAbACt58YWgEEEAAgeUCL3jhmf2dxzzumOWN83sOP/zwcMzRjws/dNRR4fmnP3/oMexEYJwCzz/99HDUDx0VHv3oRw8dxmrU3gLo8Y9/fDj++OOHHsNOBBBAAAEEEEAAAQQQQAABBNoQ4AZAG8rzY8SX/bQ0HMMggAACEytw8sknh9e+7nXhB484Ivz4j/3YwB9ZjzzyyPBj/+r4sGrVqnD5FVeEo+ZvArDVF+CaVN8s3+O3X//6/tMfnTkuHDFfp/nNbgpYjdpNgI2bNuWbeIwAAgggsESA69ESEJ4igAACCKyYgF2TuC6tGD8Dj1mADwEeM3A+vOJDG/LxeIwAAmkLcM771uf3r/r9cM173rMsiP3Lf/vj/68+/1eXtbGjugD1Wd1q2JG3ffS28OY3vSn887e+FR767kPhoYcemr8x9ej+jSs7/j3XXEONDoNjHwIIILBEgOvREhCeIoAAAggggAACOQHF70p8CHAOdJwPiz6MY5xjEhsBBBCYZIHfvfR3w2++4jfDJz/xyfDWN785vOVtbw2PfewP99/2h3/571tZrkk+P+ttN6B++uk/Hd577R+G22+/PXzly18OP/bjPx5OPfXU8IpXvjI84YlP8A9CBAQQQKDjAlyPOr7ATA8BBBCYIIF4TeJVABO0aKRaWYC3AKpMlcaBu3bvcSfijeHtbxNQxLAfzvEHdFMURR4pxFDkgGdWRSrPLGKzR4o8Jj2GvX/6b7zsN/qAh686ov+46R//J90iX0WKueTjNXmsyGHSY1h9/t5/2RBe/VuvCes2bAz/4y//ov+8yR//J90iX0PeuXA9ymv6f2dSeFpG3nX19lfkoIiBpylmm2Jds2jNHyny8Mbw9rfZK2IoalSRRwoxFDngmZ2XeGYWqvPVa0p96tdkMGL9Z941TaW2FHko6rP+CtCjSIAbAEUy7EcAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAYIIFuAEwwYtH6ggggAACCCCAAAIIIIAAAggggAACCCCAAAIIFAlwA6BIhv0IIIAAAggggAACCCCAAAIIIIAAAggggAACCEywADcAJnjxSB0BBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgSKBRxU1sF8rYJ8ivmnDem3QKY/GJ7NrCwBPvSfnvN5UG3F6o3FN0q49Pz/x1Apoo1GfeGoFtNG4Hmk9LRrnvNYUTzy1Atpo1CeeWgFtNOpT6+mNdlhvfhsVZO3smrDvwP5Rh9BWUQDLilAchkBHBDjndQuJpc4yRsI0SvAdAQQQQGAlBbgeraQ+YyOAAAIIIIBA6gKK35V4C6AWV5kbKVrsbdt3Bvti0wjgqXGMUajNKKH5vm7DRs53DSVRxiDAz08tKp54agW00ahPrSfR9ALUqNYUTzy1Atpo1KfWk2haAepT6+mNxg0Ar2DF/qrC37V7T8URiw/zxvD2t8wUMYpnWL1FkUcKMRQ5VFcrPlKRRwoxFDmYkv3R2rMp8uhSDI+l9e2ShXcudk3ybt4curYmeGYCitrIojV7pMihSzGaKQ728np4+1s2qcQYlGn2zDsXb/9UPBXXo1TmksqaNKvIwV6pzMWbh7f/oErzZ4o8UoihyKG5YtZTkUeXYmQyzR51ycI7F8Xf7bw52Cp2KUazqqTXOAS4ATAOVWIigAACCCCAAAIIIIAAAggggAACCCCAAAIIILDCAnwGQEsLEP91y8zMzOKIZ5x+Wv9x0d29qu0WJIUYZTmo85ybm+v7RdOqXm3n2U8y959U82zqWbSucZ5F7bY/HtPFNVF71vHCM6utcdZfrN9xjqFc93xdWH3ah1RfvXmLDdHf4nzyx8U2+65qt1iTMEadPIvO96IY0bKo3fbHY8qsxhkj5jDOMYbNta7nsBi2L7/Fuaykp+VTNQ9lnuP0tDkNyzXOs6jd9sdjhvXPt6cSI+a5Ep55j5iH7ctvKXjGHCyvYXkOazfPcV2PivKw/TGXYXnm24tixP5F7fkYTcdoGqOoRsvyKGtPZa5t59l1z6J1HVeNN/UsyrPOedJ27Vhu+S2aluVR1m4x4zF4ZhZ5a3vcxNs849+XYrwmcWLfOnnYsXFd8/3rxCjrrxijToxYn3wY8NIVrf9c8RkAwT4EeNR24urZUc20VRTYum1Hz7682627bvOG6HljePvbBBQxFKaKPFKIocgBz+zUwjOzUJ2vXlPqU7sm5um9vnvXNJXaUuRBferr00w9G/WZ6Snq06J5Tb39FTkoYuBpitnmXVfz9F6PLBtvHooYKeRg81DUaCpz8ebh7Y+nCWQbnpmFPVJ4eGNwvmvXBM/0PAczmt5nit+VeAug+jde6IEAAggggAACCCCAAAIIIIAAAggggAACCCCAQPIC3ABIfolIEAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACB+gJ8BkB9M3oggAACCCAw8QKS9xGceAUmgAACCCCw0gJcj1Z6BRgfAQQQQAABBFIWUPyuxCsAUl5hckMAAQQQ6AvYBY8NAQQQQAABBBBAAAEEEEAAAQQQQKCeADcA6nk1Pnrb9p3Bvrxb0ad614nrjeHtb7kqYihMFXmkEEORA57ZWaTy9P7RWpFHl2J4f4Z2ycI7F6+l6ue4dx6p5MHPz+znp2JN8EzPU7GunO/ade2S56BMs2cpeKSQg+nxMzSrIcWa4IlnJjD4SFFf3hjUp3ZN8EzPczAjnnkEuAHg0aMvAggggAACCCCAAAIIIIAAAggggAACCCCAAAKJCnADINGFIS0EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBDwC3ADw6NEXAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIFEBbgBkOjCkBYCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAh4BbgB49OiLAAIIIIAAAggggAACCCCAAAIIIIAAAggggECiAof15rdRua2dXRP2Hdg/6hDaEEAAAQSGCPDzcwhKw11YNoQb0Q3TETg0IYAAAgi0JsD1qDVqBkIAAQQQQACBCRRQ/K7EKwAmcOFJGQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBMgFuAJQJCdvtjg2bTmDb9p3Bvtg0AnhqHGMUajNK6L5jqrMkklaAn594agW00ahPPLUCREtdgHNeu0J44qkV0EajPrWeRNMKUJ9aT280bgB4BSv2t8JXbLt273GH8cbw9rcJKGK4IUR5KObijeHtr7C0GIo8UoihyEFhqsijKzHWbdjoJu2KheJcU1yT8HSX5EAAPAc43E/wdBMuC+A19fa3hFKJsQynwQ7vXLz9U/FUXI9SmUsqa9KgHJd1SWUu3jy8/ZfBNNyhyCOFGIocGhIOdFPk0aUYAzgNnnTJwjsXxR+svTnYEnYpRoOSpMuYBLgBMCZYwiKAAAKKP1qjiAACCCCAAAIIIIAAAggggAACCCCAQFMBPgS4qVzNfnYncdOG9eHqzVsWe55x+mn9x0V396q2W5AUYpTlQJ795Q5V13VSPIvWNc6zqN32x2MmZa7kma2ZYl0nxbNorrF+i9ptfzymjbmWjZFvn5ubG9s1KT+OGcQtWtjzsmO87YoxxhlDaUGeJlD9XCurLYtVdkxZuyJGG2Mo8iyKMSk1bvnHXMvMy9qLLOqMoYixknlGy6J5DGsf5/WoKA/Fmgybi8XNb/GYlVwTy6dqHuSZWZlbmYe3XTHGOGPEuhnnGBY7jlPmqcijjTHIM1tThYUiRtm659vtmjQzM2PDLm5VazQfZ7Hz/IOq/a2PN0ZZf8UYTWJEA+vL1kxA8SHAoVeynbh6tuQImqsIbN22o6ewvHXXbVWGG3mMN4a3vyWniGGm9uXZFHmkEEORA55ZJeGZWdgjhYc3BvWpXRPz9F6TvGuaSm0p8qA+9fVppp6N+sz0FPVp0bym3v6KHBQx8DTFbPOuq3l6r0eWjTcPRYwUcrB5KGo0lbl48/D2x9MEsg3PzMIeKTy8MTjftWuCZ3qegxlN7zPF70q8BVCzmy/0QgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAgaQFuACS9PCSHAAIIIIAAAggggAACCCCAAAIIIIAAAggggEAzAT4DoJlbo16S92xqNDKdEEAAAQQQGBTgmjTowTMEEEAAgZUR4Hq0Mu6MigACCCCAAAKTIaD4XYlXAEzGWpMlAggggAACCCCAAAIIIIAAAggggAACCCCAAAK1BLgBUIur+cHbtu9s3jnXs+hTvXOHlD70xvD2twQVMczU66rII4UYihzwzE4dPDML1fnqNbU73pzv2bp4Pb2WqdRFKnnw8zOrTcWa4Jmep2JdvT+3FDkoYijqU5FHlzzNw7ul4JFCDuaoqNFU5uLNw9sfz8EzE0+9h9eU8127Jnim5zmYEc88AtwA8OjRFwEEEBghsGnD+hGtNCGAAAIIIIAAAggggAACCCCAAAIIIDBeAW4AjNeX6AgggAACCCCAAAIIIIAAAggggAACCCCAAAIIrIjAo1ZkVAZFAAEEEEBgagS+Ew7s/VD40AeuC+/983vnZ31MuPULjwpv+51Tw+zhU4PARBFAAAEEEEAAAQQQQAABBBBAYAUEeAXACqAzJAIIIIDAlAgc2hdu+q1Tw3MvuDF882U7whcP/F3YdNYJ4dObLw3/19YvhENTwsA0EUAAAQQQQAABBBBAAAEEEEBgZQS4AbAy7oyKAAIIINB1gUNfCNe/5NfCGz5+XLjgg1vDZaeuCYeHr4a/vevvwsPhwfD5e74Svt91A+aHAAIIIIAAAggggAACCCCAAAIrKnBYb34blcHa2TVh34H9ow6hraIAlhWhOAyBjghwzusWcvIsvx4+/saXhPM+9OVw/EuvCR+98tRwdJ8j7g/hJVv/JFx+ynE6pJqRJs+05gQ5HAEEEEBgIgS4Hk3EMpEkAggggAACCKyQgOJ3JT4DYIUWj2ERQAABBLoqcCgc3PvusO5Dfx/CqlPDpW865ZE//tt8jwvPufITYd+VXZ0780IAAQQQQAABBBBAAAEEEEAAgZQEeAugllZj2/adkpF27d7jjuON4e1vE1DEMFOvqyKPFGIocsAzO7VUnlnEZo8UeXQpxsSc74fuCR/evDvcN7/sq571K+HZxw5+0m8Ka+K1tIpOYR6p5MHPT1uJbPPWBp6ZpT1KwVORh3ceihwUMRT1qcijS57m4d1S8EghB3NU1Ggqc/Hm4e2P5+CZiafew2vK+a5dEzzT8xzMiGceAW4AePToiwACCCCAwIDAoXD/Lb8f3nXXg/N7nxTOvfhXwrED7TxBAAEEEEAAAQQQQAABBBBAAAEE2hPgBkB71mHdho0tjsZQCCCAQHcEJubn58G94Z3v/MT8h/zObyecEk596pHdWQRmggACCCCAAAIIIIAAAggggAACEyfAhwC3tGT2UiLbZmZmFkc84/TT+o+LXvZVtd2CpBCjLAfy7C93qLquk+JZtK5xnkXttj8eMylzJc9szRTrOimeRXON9bvQ/tHw7f1/GW750E3hf/7Dd+Z3HR4e97xLwmeuv3j+UfnP6KIxbH8cp8yrTvvc3FzYtGF9uHrzFhuiv41jnBjbvsf49rhOrnZ83GKMsv52fNkxZe3jjBHnMc4xLHYcp+lcY//U86wz16YWdcZQeE1KnkVzpXZMJtuiRxvr2sYYNrNh48R51mkf5/WoKA/bH3MdNo98e1GM2L+oPR+j6RhtxyDPrC4U6zopnkVzpcZNJtuiRxvr2sYYNrOycbztijEUMerMw65J+b/Z2fhV177OOBY3bjG+PffGKOuvGKNJjPwcrT9bfQHFhwCHXsl24urZkiNoriKwdduOnn15t1t33eYN0fPG8Pa3CShiKEwVeaQQQ5EDntmphWdmoTpfvabJ1ufcjb3znjDbs2tl0ddPnntjby5H6rVQrIl5eq/vKcxDYaGIkWx95uqu6sMU1hXPwdXyronCU3GeeOehyEERA099fXqvR4p1VcRIpcYVNZrKXLx5ePtbXeBpCgsbnlFC5+E1pT61a4Jnep6DGU3vM8XvSo+qf9+BHggggAACCCDQFzj2ReG6e160gHHoznDls18e3nvv/BsAnfCa8OFPvimcPPj5v6AhgAACCCCAAAIIIIAAAggggAACrQrwFkCtcjOYUiC+rdI5Z5+lDDu1sfDULj2eU+h5/03h/GdcGvbO//3/iJduDX995XPCKi2DNJrkZYTSjCY3GOe7du3wxFMroI1GfWo9LRrXI60pNYqnVkAbjfrEUytAtJQFON91q6P4XYkbALr1IBICCCCAwNQKHAr333hheOalt89/APDR4ZSrPhqu+/UfT1pD8UtE0hMkOQQQQACBiRDgejQRy0SSCCCAAAIIILBCAorflX5ghXJnWAQQQAABBDok8GD47Gc+N//Hf9ueGH72p4/r0NyYCgIIIIAAAggggAACCCCAAAIITKoANwBaWjl76Ut8+YtnyKJP9a4T0xvD299yVcRQmCrySCGGIgc8s7MIz8xCdb56TZOvz0P7wl/95f0LcCc8PTz98cVv/uO1UKxJV65HCgtFjOTrc6EyK/03lfr01mgK81DUliKGoj4VeXRlTfAc/FHiXVfvuR6z8ebRpRpX1GgKnqmsCZ7xLOP/4TOJhUcpnCfU5+CqeNcEz/Q8BzPimUeAGwAePfoigAACCLQisGnD+lbGaTrIoc/+Wfioffjv/HbEz/9M+Ck+/LcpJf0QQAABBBBAAAEEEEAAAQQQQEAowA0AISahEEAAgbxA6n+0zufKY4/Aw+Ef/ted4d5+iKPDz//sTyb94b+emdIXAQQQQAABBBBAAAEEEEAAAQQmS4AbAJO1XmSLAAIIIJCcwNfDXXfc80hWvP9/cstDQggggAACCCCAAAIIIIAAAghMsQA3AKZ48Zk6AggggIBA4P47wp5PHVwIVPL+/4LRCIEAAggggAACCCCAAAIIIIAAAghUFuAGQGUqDkQAAQQQQGC5wKEv3RO+2H/7/1XhhDOeF57K+/8vR2IPAggggAACCCCAAAIIIIAAAgisiMBhvflt1MhrZ9eEfQf2jzqENgQQQACBIQL8/ByC0nBXupbfDndf8Wvhxdd+cX5mTwoX3HxzeOPJRzacZbvd0jVt14HREEAAAQRWVoDr0cr6MzoCCCCAAAIIpC2g+F2JVwCkvcZkhwACCCCQtMC94c6/+NJChiecEk596mT88T9pUpJDAAEEEEAAAQQQQAABBBBAAAGZADcAZJSjA23bvjPYl3fbtXuPN0TwxvD2twkoYihMFXmkEEORA57ZqaXyzCI2e6TIo0sxvD9Dx2Jx//8XPvP578wvcPW3/xlLHjVLzGtpw6Uwj1Ty4OfnYAF6awPP9DwV55q3LhQ5KGIo6lORR5c8zcO7peCRQg7mqKjRVObizcPbH8/BMxNPvYfXlPNduyZ4puc5mBHPPALcAPDo1ey7acP6mj04HAEEEEAgXYFD4f5PfCx8uv/+/2vC83/5KYG3/093tcgMAQQQQAABBBBAAAEEEEAAgWkU4AbANK46c0YAAQQQEAg8GD77mc+F/t//K779z6H9Hw+fuGVLeOb85+usnX1SeOar3x0+vt9eQcCGAAIIIIAAAggggAACCCCAAAII6AX4EGC96dCI9lIiewXA1Zu3LLafcfpp/cdFL/uq2m5BUohRloM6z7m5ub7fzMxM/3tVr7bz7CeX+0+qeTb1tKkNM43zLGq3/fGYYf3z7anEqJOneebP+TbnWidPs81vqeaprk+bs3euZ5z2o+HKZ788vPfeEB73vN8O//mFa8PSu+rZGB8JX//szeH97/tMCD/7ivCfXvb0cFz4x/DV7f8tvCu8Lnz0T84Pf7tn+Fu8ZTF07Uvrs45HWX2VtdtYZcd42xVj1IlRVJ9FMeKaFrXb/nhMmcU4Y8QcxjnGsLnW9RwWw/bltziXlfS0fKrmocxznJ42p2G5xnkWtdv+eMyw/vn2VGLEPFfCM+8R87B9+S0Fz5iD5TUsz2Ht5pn/fcn6xuOGxajTbseOK0bMcZxjNJ1rUY2Oy6JpntYvv0XT1PLsuqetwTDzuB5F7bY/HjOsf749H6OpZz6GPc5vVfOok2c+vj2uOoYdWzaOtz0/Bp5ab/OMf18yZ9uqrr1yXRdGzv6rysEitplnrM9zzj4rmwyPGgkoPgQ49Eq2E1fPlhxBcxWBrdt29BSWt+66rcpwI4/xxvD2t+QUMczUvjybIo8UYihywDOrJDwzC3uk8PDGSLE+v3fX5b1nzV8jT3zC+b0b5743iDbw7Hu9B/7Xu3pnPuGk3pmX/2Xvg4s/x7/Xm/vw+b2fXP3LvSvu+ueBHmVPFJ7ea5I3B5tjV2KkWJ9lNVTUnsKa4Dm4Ot41UXhaRt48vP0VOShi4GmK2eZdV/P0Xo8sG28eihgp5GDzUNRoKnPx5uHtj6cJZBuemYU9Unh4Y3C+a9cEz/Q8BzOa3meK35WW/mPFRnci6IQAAggggMB0CXw7fPZP94Z77cN/z7sgnHnsiHf/P/TX4Y9e/97wuWNPD6+/4GfCkcugvhbu+d8Hl+1lBwIIIIAAAggggAACCCCAAAIIIOAV4C2AvII1+kteslFjvK4fam+rZBsvJ9KsNJ4axxgFzyih+Z6c56E7F97+53svDtd/7L+G5xxddANg/oOCb7wwPPPSO8JPve1D4Y/Pf3Lug4K/He6+4tfCi68N4YKbbw5vPHn5rQGN3vAoXJOGuzTZm1x9NplEQn3w1C4GnnhqBfTRuB5pTTnn8dQKaKNRn3hqBYiWsgDnu251FL8rcQNAtx6lkRQLVjoIByCAAAII6AQO7Qs3XXh2eMNnfzH3h/5D4eDe/xyef+6nw0lXbQ/X/Pra3B/1lw494o/88SbCV38pvPOOa8OLRr2KYGlYwXOuSQJEQiCAAAIIuAW4HrkJCYAAAggggAACHRZQ/K7EWwBNWIEUfWBHnWl4Y3j7W66KGHXmXHSsIo8UYihyKDKqs1+RRwoxFDnUcSs6VpFHl2IUOVXd38Ti0Gc/HP7gT+c/5fe+O8Nf7X9o4WfXwb3h8rfeHMJL14fLR/7x3zI7GPZ/8WshrFodnvD4x/RTXchj/ibCJ28MH5kPXfoWQkMm2GQuQ8K4dily6FIMF+Z85y5ZKOaCZyaQgqdl483D21+RgyqGxfFuXg9vf8s/lRhey1TmgufgSqbgochhcFbNninySCGGIodmgoO9FHl0KcagTv1nXbJQzKW+4GAPRQ5dijGow7OVFOAGQEv68aUvLQ03FcOYKa66pcZTZ2mR8OyI5w8fE45bNT+XE04Jpz71MeHb+/9HePOr1ocvnHJV+MA7Tg1HN51m/ybCh8N9x784bLjgaSNeQdB0gNH9+Nk52qduK+d7XbHRx+M52qduK551xUYfj+don7qt5smmFaBG8dQKaKNRn3hqBbTRqE88tQJpReMGQFrrQTYIIIAAAgkJHL72rPCuLWeHk776h+HFa58SrvjY18JPXvLfw41v/9UwW/S2/wP5/3g48+KXhRMeviPsuP5/zr8eIITvf+3O8LZXXRpu+dFXhPfesH7E5wcMBOIJAggggAACCCCAAAIIIIAAAgggUFuAGwC1yeiAAAIIINC2wKYN69se8pHxjgizp/5euOWe/WHfgS+G/3Lhi8I5p6yp9S/2Dz/59eH9W88Jx938n8LTZ9eE3/2Dz4QfeeEfhI/d/HvheWuOWKF5MSwCCCCAAAIIIIAAAggggAACCEyDADcApmGVmSMCCKyIwMr90XpFppvcoN/61rfCH3/wj8N99923wrnN30Q45XfCdXd8cf4mwv5w9WUXhTee+5yKryAoTt3mZfOzebIhgAACCCCAAAIIIIAAAggggAACwwS4ATBMhX0IIIAAAhMrYH8Qv/6668IvPetZ4a1vfnO454v3TOxcRiV+15139edn87T5ciNglBZtCCCAAAIIIIAAAggggAACCEynwGG9+W3U1NfOv12B/YtFNp+AfZiI/WtgLH2O9EZgkgT4+albrSqW9gfwD95wQ/jDa68ND3zjgfCcU04Jr33dxeHkk0/WJZJYpLvvvjtc857N4eN794bHHfO48JoLLwwve/nLw1FHHTUyU65JI3loRAABBBBoSYDrUUvQDIMAAgggUCpg1yTbzjn7rNJjOQCBNgWq/D2kLB9uAJQJCdsVCyZMh1AIIDBmAc55HfAoy2n8w/9S2SY3AkaZLo3PcwQQQAABBMYlwPVoXLLERQABBBBAAIEuCCh+V+ItgCasEnbt3uPO2BvD298moIhhd2fjHdqmKIo8UoihyAHPrIpUnlnEZo8UeXQpxtLzPf9WP++47O3haU87OXz45pvC9VvfN/Rf/XfJYulc7FUONm+bvzmYx7jfGmhpDk2qvCsx+Pk5uPredcUzPU/LyLuu3v6KHBQxFPWpyKMrnmah2FLwSCEHs1TUaCpz8ebh7Y/n4NmJp97Da8r5rl+TwYj1n3nX1EbsSgxFfdZfAXoUCXADoEhGvN8Knw0BBBBAwC9Q9w///hEnJ0LVGwFckyZnTckUAQQQ6LIA16Mury5zQwABBCZLgD9YT9Z6kW09AW4A1PPiaAQQQACBFRJ46KGHFj/ct8q/+F+hNJMYtuqNgCSSJQkEEEAAAQQQQAABBBBAAAEEEBibAJ8BMDbawcB2J9E+BHjdho2LDfGDRYr+5UvVdgvojVHU32JXzaMoRuyvyFMRY9LzTG1NijxTy3Mlaid/zsfzoMgrtq9EnjZm3GIeK5mn5ZLPw/7w/853XBZ+8AePDP/yL98Oa5/4xHDFlVf03+YnpTyjYf57fh75/fFxbLfnZXNp2m6xn/bvfiq86Y1vCvvuuafv+PO/8Avhz2//02XXpKIxLEbMteiYqu0WyxujrL9iDEWMojwtdlWvohix/zTlOc65Kj3J0wSo8QWFhf/G+lrJ8znmYBmV5VHW7olhfS2X/Bj535diu2cM5VzzeVpO+S2OU3RM1XaL6Y1R1N9iV82jKEbsr8hTEWPS80xtTYo8U8uT2snOZYWFIsak1E5ZnqPa43kw6pj4M7LomKrt41yTmINijCYx8uNbf7b6AorPAHhU/WHp0VQg/8f/pjFmZmbC3Nxc0+79ft4Y3v6WhCKGC+GRzoo8UoihyAHPTADPzMIeKTw8Mf7pn77ZT8j++G+b/RH7xb/2ov7jov/YHxPKtrJjytotftkx3nbFGEsdzNH++O/dPGsax+5SjDinpt+7ZKGYS1PH2E+RQ5diRBfPd6+Ht7/lnkoMj2Ps652Ltz+ecSWy715Tb3/VmmQzav4olbl48/D2by442FORRwoxFDkMyjR7psijSzGaKWa9umShmEsm0+yRIocuxWimSK+xCPRKthNXz5YcQXMVga3bdvTsy7vduus2b4ieN4a3v01AEUNhqsgjhRiKHPDMTi08MwvV+eo1tfrcuPGy3qvPObdn16Wnn3xy77o/+qPegw8+OJjsiGfeHFKxqJOH+ZiTeZmb+d11113965H3+j6NnkXlxc/PQRlvbeCZnmednzuD2WfPvHWhyEERQ1Gfijy65Om9Hik8FTFSWRNFjaYyF28e3v5WF3iawsKGZ5TQeXhNqU/tmuCZnudgRtP7TPG7Ep8BMJbbKgRFAAEEEFALnPATPxGu3/q+8OGbbwpPe9rJwT4H4Jee9az+5wLYBwOzZQJ8UHJmwSMEEEAAAQQQQAABBBBAAAEEplmAtwBqafV5z6uWoBkGAQQ6LxA/4Pbuu+8O17xnc/9GwB9ee214zYUXhpe9/OXhqKOO6rxB0QTtD/8fvOGGYB4PfOOB8JxTTgmvfd3F/c9LKOrDfgQQQAABBBBAAAEEEEAAAQQQ6K4AHwLc3bVlZggggMBUCMQbAR/fuzc87pjHTeWNgCZ/+Fd8kNBUFBiTRAABBBAYqwDXo7HyEhwBBBBAAAEEJlxA8bsSbwHUUhHYJ4IXfSp4SykwDAIIINBJgfiKgGl8a6Cmb/XD9aiTpwKTQgABBCZOgOvRxC0ZCSOAAAKdFeDvdp1dWiY2L8ANgAkrg12797gz9sbw9rcJKGIofjgr8kghhiIHPLNTC8/MQnW+ek2r1GfRjYC/u+fv+hPy5pCKRczDXvlgn4Fgn4Vgn4lgN0DsMxLMoY2ta54esyr1WRYfz0wIz8zCHnlrQ+GpyMM7D0UOihh4mmK2KdY1i9b8kSIPbwxvf5u9IoaiRhV5pBBDkQOe2XmJZ2ahOl+9ptSnfk0GI9Z/5l3TVGpLkYeiPuuvAD2KBPgMgCIZ9iOAAAIITKRAvBFgfyD/v3fsCA9+68GJnEeVpJ/97GeHV77qVa390WFh2FkAAEAASURBVL9KThyDAAIIIIAAAggggAACCCCAAALpCHADIJ21IBMEEEAAAaGA3Qho61/DC9OuHKrr86sMwYEIIIAAAggggAACCCCAAAIIIFAowFsAFdLQgAACCPgENm1Y7wtAbwQQQAABBBBAAAEEEEAAAQQQQAABBBwC3ABw4NEVAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIFUBXgLoFRXhrxKBc45+6zSYzigugCe1a2qHGmevAKgilS1Y6jPak4ctTIC1KfWHU88tQLaaNSn1pNoegFqVGuKJ55aAW006lPrSTStAPWp9fRGO6w3v40KsnZ2Tdh3YP+oQ2hDAAEEEBgiwM/PISjsSkaA+kxmKUgEAQQQmGoBrkdTvfxMHgEEEEAAAQRKBBS/K/EWQCXINKcrsG37zmBfbBoBPDWOMQq1GSU036lPjSNRxiNAfWpd8cRTK6CNRn1qPYmmF6BGtaZ44qkV0EajPrWeRNMKUJ9aT280bgB4BSv2VxX+rt17Ko5YfJg3hre/ZaaIUTzD6i2KPFKIocihulrxkYo8UoihyKFYqXqLIo8uxaguN/zILll452LXJO/mzcHG71IMPDMBxbpm0Zo9UuTQpRjNFAd7eT28/S2bVGIMyjR75p2Lt38qnorrUSpzSWVNmlXkYK9U5uLNw9t/UKX5M0UeKcRQ5NBcMeupyKNLMTKZZo+6ZOGdi+Lvdt4cbBW7FKNZVdJrHALcABiHKjERQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEFhhAT4DoKUFiP+6ZWZmZnHEM04/rf+46O5e1XYLkkKMshzUec7NzfX9omlVr7bz7CeZ+0+qeTb1LFrXOM+idtsfj+nimpinfQjw1Zu32FRbnWtXPc2x7vlufco8ytqLYsT6LWq3/fGYpmPUiVE2Rr59aX2OaxyLG7doYc/zucR2+x6P8bZbrDZjFP38LMojzrOo3fbHY8rmMc4YMYdxjjFsrnU9h8WwffktzmUlPS2fqnko8xynp81pWK5xnkXttj8eM6x/vj2VGDHPlfDMe8Q8bF9+S8Ez5mB5DctzWLt55n9fsr7xuGEx6rTbseOKEXMc5xhN51pUo+OyaJqn9ctv0TS1PLvuaWswzDyuR1G77Y/HDOufb8/HaOqZj2GP81vVPOrkmY9vj6uOYceWjeNtz4+Bp9bbPOP/b5qzbVXXXrmuCyNn/1XlYBHbzDPWJx8GnK1l00eKzwAI9iHAo7YTV8+OaqatosDWbTt6Cstbd91WccTiw7wxvP0tM0UMM7Uvz6bII4UYihzwzCpJ5ek95xV5dCUG9ZnVpz3yrqt5Up+ZqcKT6xGemUD2yFtbFskbQ/HzU5GHdx6KHBQx8DTFbPOuq+J6ZNl481DESCEHm4eiRlOZizcPb388TSDb8Mws7JHCwxuD8127Jnim5zmY0fQ+8/6/u8nxFkBNb7/QDwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBhAW4AZDw4pAaAghMtsC6DRsnewJkjwACCCCAAAIIIIAAAggggAACCCAw0QJ8BkCLyyd5z6YW82UoBBBAAIHuCnBN6u7aMjMEEEBgkgS4Hk3SapErAggggAACCLQtoPhdiVcAtL1qjIcAAggggAACCCCAAAIIIIAAAggggAACCCCAQAsC3ABoAdmG2LZ9p2Skok/srhPcG8Pb33JVxDBTr6sijxRiKHLAMzuL8MwsVOer15T61K6J92dnKnWRSh7Up74+vTXq/ZmTSm0p8lDUpyKPrqwJnvrzfTBis2cp1FcKOZieokZTmYs3D29/PAfPRzz1Hl5TznftmuCZnudgRjzzCHADwKNHXwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEhXgBkCiC0NaCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgh4BLgB4NGjLwIIIIAAAggggAACCCCAAAIIIIAAAggggAACiQpwAyDRhSEtBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQ8AtwA8OjRFwEEEBghsGnD+hGtNCGAAAIIIIAAAggggAACCCCAAAIIIDBegcN689uoIdbOrgn7DuwfdQhtFQWwrAjFYQh0RIBzviML2dFpUJ8dXVimhQACCEyYANejCVsw0kUAAQQQQACBVgUUvyvxCoBWl4zBEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBoR4AbAO04M8oYBLZt3xnsi00jgKfGMUahNqOE5jv1qXEkyngEqE+tK554agW00ahPrSfR9ALUqNYUTzy1Atpo1KfWk2haAepT6+mNxg0Ar2DF/lb4im3X7j3uMN4Y3v42AUUMN4QoD8VcvDG8/RWWFkORRwoxFDkoTBV5dCmG17RLFt65KK5J3hy69DPDW5tds1DUhtdUkUOXYng9FTWK5+AqeD28/RVrqoihuB4p8lDESGVNbC7eLZW5ePPw9vc6xv6KPFKIocghmni+K/LoUgyPpfXtkoV3Loo/WHtz6NqaeOuT/joBbgDoLImEAAIIIIAAAggggAACCCCAAAIIIIAAAggggEAyAnwIcEtLYXcSN21YH67evGVxxDNOP63/uOgOYdV2C5JCjLIcyLO/3KHquk6KZ9G6xnkWtdv+eMykzLVunpdcfNHiOd/mXOvmaWsRN/KMEll92p5hptGqqN32x2OG9c+3K2KUjZFvn5ubG9s1KT+OzStu0cKelx3jbVeMMc4YSgvyNIHq51pZbVmssmPK2hUx2hhDkWdRjEmpccs/5lpmXtZeZFFnDEWMlcwzWhbNY1j7OK9HRXko1mTYXCxufovHrOSaWD5V8yDPzMrcyjy87Yoxxhkj1s04x7DYcZwyT0UebYxBntmaKiwUMcrWPd9u16SZmRkbdnGrWqP5OIud5x9U7W99vDHK+ivGaBIjGlhftmYCig8BDr2S7cTVsyVH0FxFYOu2HT2F5a27bqsy3MhjvDG8/S05RQwztS/PpsgjhRiKHPDMKknl6T3nFXl0JQb1mdWnPfKuq3lSn5mpwpPrEZ6ZQPbIW1sWyRtD8fNTkYd3HoocFDHwNMVs866r4npk2XjzUMRIIQebh6JGU5mLNw9vfzxNINvwzCzskcLDG4PzXbsmeKbnOZjR9D7z/r+7yfEWQM1uvtALAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGkBbgB0OLyrNuwscXRGAoBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBgmgX4DIBpXn3mjgACCCAwtQKS9xGcWj0mjgACCCCgEuB6pJIkDgIIIIAAAgh0UUDxuxKvAOhiZTAnBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgakX4AZASyWwbfvOYF/erehTvevE9cbw9rdcFTEUpoo8UoihyAHP7CzCM7NQna9eU+pTuyZduR5Rn9q6wBPPQYHBZ96f497+XapPxVy65DlYac2epeCRQg6mx+9MWQ0p1gRPPDOBwUeK+vLGoD61a4Jnep6DGfHMI8ANAI8efRFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQSFSAGwCJLgxpIYAAAggggAACCCCAAAIIIIAAAggggAACCCDgEeAGgEePvggggAACCCCAAAIIIIAAAggggAACCCCAAAIIJCrADYBEF4a0EEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDwCHADwKNHXwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEhU4rDe/jcpt7eyasO/A/lGH0IYAAgggMESAn59DUNiVjAD1mcxSkAgCCCAw1QJcj6Z6+Zk8AggggAACCJQIKH5X4hUAJcg0I4AAAggggAACCCCAAAIIIIAAAggggAACCCAwiQLcAGhp1bZt3xnsi00ngKnO0iLhqffURpzuaNSndv25Huk9MdWZcr7rLC0SnnhqBbTR+Nmp9bRonPNaUzzx1Apoo1GfeGoFtNGoT62nNxo3ALyCLffftXuPe0RvDG9/m4AihhtClIdiLt4Y3v4KS4uhyCOFGIocFKaKPLoUw2vaJQvFXPDMBPDUWuDZPU+bkXddvf0VOahiWBzv5vXw9rf8U4nhtUxlLngOrmQKHoocBmfV7JkijxRiKHJoJjjYS5FHl2IM6tR/1iULxVzqCw72UOTQpRiDOjxbSQFuAKykPmMjgAACCCCAAAIIIIAAAggggAACCCCAAAIIIDAmAT4EeEywS8PaS19sm5mZWWw64/TT+o+L7u5VbbcgKcQoy4E8+8sdqq7rpHgWrWucZ1G77Y/HTMpc6+Z5ycUXhas3b7GptjrXunn2E3zkP22uyaTkaTTDco1WRe22Px4zrH++XRGjbIx8+9zcXNi0Yf1ifeZzyR9n++NWdS5l/S1e2THedsUY44wRLcc5hsWO45R5FuUR+xe1K8ZoO0ZTC/I0gWwrq42ydosUj2FNMgtzKfPwtivGKIoR17RO+zivR0V52P6Ya5lnUYzYv6hdMUbbMZpakKcJZFusjUnxtMyH5RrnUdRu++Mxw/rn21OJQZ7ZminWpCue+XnYNSn/N7t8HeePs/1xq3oelPW3eGXHeNsVYzSJEY2sL1szAcWHAIdeyXbi6tmSI2iuIrB1246efXm3W3fd5g3R88bw9rcJKGIoTBV5pBBDkQOe2aml8vT+/FTk0ZUY1GdWn4qfoeZJfWam3vOE+swsVfVppp7Nu6aKeaQSQ1Gfirl0ZU3wHDwzvetqnt7rkaI+FTG8FoocLIaiRlOZizcPb388TSDb8Mws7JHCwxuD8127Jnim5zmY0fQ+U/yuxFsANbv5Qi8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBJIW4AZAi8tjb7fAhgACCCCAAAIIIIAAAggggAACCCCAAAIIIIBAGwJ8BkAbyo+MIXnPphbzZSgEEPAJcM77/Og9XgHqc7y+REcAAQQQqCbA9aiaE0chgAACCCCAwHQKKH5X4hUA01k7zBoBBFoQ2HdgfwujMAQCCCCAAAIIIIAAAggggAACCCCAAALDBbgBMNxFvnfb9p2SmEWf+l0nuDeGt7/lqohhpl5XRR4pxFDkgGd2FuGZWajOV68p9aldE+/PzlTqIpU8qE99fXpr1PszJ5XaUuShqE9FHl1ZEzz15/tgxGbPUqivFHIwPUWNpjIXbx7e/ngOno946j28ppzv2jXBMz3PwYx45hHgBoBHj74IIIAAAggggAACCCCAAAIIIIAAAggggAACCCQqwA2ARBeGtBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ8AhwA8CjR18EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBIV4AZAogtDWggggMDUChy8O9x0xXnhmbNrwtonvihceef9BRTfDndf8R/D2v5xvxVuuv9QwXHsRgABBBBAAAEEEEAAAQQQQAABBKZTgBsA07nuzBoBBBBIUOBQOHj3deH8X/mN8IZr/zzcZxk+fHfYuuWT4Z+HZXvo8+H2Xfv7Laue9Svh2ccePuwo9iGAAAIIIIAAAggggAACCCCAAAJTK3BYb34bNXv7l5X7Diz8gWXUcbSVC2BZbsQRCCAwrQLzf/y/8+pw3mXfCq+56k3heWFneOFz3h4+N8+x6rlXhb9434vCsUtp9l/3yDGrwgkX3hD2vunpgVsAS5GKn3NNKrahBQEEEECgPQGuR+1ZMxICCCCAAAIITJ6A4nclXgEweetOxgggMCEC9kOaraLAwb3hnVt+ILxl67rwvDWrwv13/VX4Qr/rEeHJz/ip5X/8D4dyx6wJz//lp/DH/4rUHIYAAggggAACCCCAAAIIIIAAAtMjwA2AltZ62/adkpF27d7jjuON4e1vE1DEMFOvqyKPFGIocsAzO7VUnlnEZo8UeUxMjKNPDZe973fC04+2f8P/1fDJ2/4qPNxne3z4+X9/Qv9cHzjfD90Tbv7AHQvHnHBKOPWpR5YiT4xF6Uz8P0MHLCuMN+wQPDMVfn5mFvbIWxt4puepWFdvXShyUMRQ1Kcijy55mod3S8EjhRzMUVGjqczFm4e3P56DZyaeeg+vKee7dk3wTM9zMCOeeQS4AeDRoy8CCCCAgF7g/jvCnk8dXIhb8Mf9Q5/9SNh514Pzx8y//c8ZzwtP5b1/9OtARAQQQAABBBBAAAEEEEAAAQQQmHgBbgBM/BIyAQQQQKBLAvNv7fOJj4VP9//5f9Ef978ePnXDnnBvf9q8/U+XVp+5IIAAAggggAACCCCAAAIIIICAVoAPAdZ6FkazlxJt2rA+XL15y+IxZ5x+Wv9x0cu+qrZbkBRilOVAnv3lDlXXdVI8i9Y1zrOo3fbHYyZlrnXzvOTiixbP+TbnWjdPW4u4rXye3wgP3/yu8IY/n38FwKpTw29uPDP8zGMH71V//6u3h52X3xzutpsEq34unP/Os8K/fVScwcL3OA97VuZR1l4Uo40xbOw4Tlmeddrn5ubGdk0qy6PIUzlXxRjjjBHXdJxj1PEsymNS8qwz1zbqs8izi3kWzZXaMZlsix5t1F8bY9jMho0T51mnfZzXo6I8bH/Mddg88u1FMWL/ovZ8jKZjtB2DPLO6UKzrpHgWzZUaN5lsix5trGsbY9jMysbxtivGUMSoMw+7Js3MzNiwi1vVta8zzmLw+Qcxvu3zxijrrxijSYz8HK0/W30BxYcAh17JduLq2ZIjaK4isHXbjp7C8tZdt1UZbuQx3hje/pacIoaZ2pdnU+SRQgxFDnhmlaTy9J7zijwmLsbcjb3znjDb/3n5k+fe2Jt7ZFkW6/N7n+9dd/6re+edcdKyY7IVHP5o4iyGT6O/1zsX86Q+M2CFJ9cjPDOB7JG3tiySN8biz88srUaPvHl4+yssFDHwHCwf77oqrkeKdVXE8FoocrAYihpNZS7ePLz98TSBbMMzs7BHCg9vDM537ZrgmZ7nYEbT+8z7/+4mN/jPKuvfhKAHAggggAACIoH82/8cHX7xV58Rjh2I/HDYt/W6sP95J4fweXv//2HHDHTgCQIIIIAAAggggAACCCCAAAIIIDDVArwFUIvLL3nJRov5pj6Uva2SbeecfVbqqU5Efnhqlym+7de+A/u1gTsd7cvhplc/f/Htf955x7XhRccufLrvtu3vD//ypU+HLx15djh/zY7w/EtvDw/Pv0VQ/phO04xhclyTdKj8/NRZWiQ88dQKaKNRn1pPi8b1SGtKjeKpFdBGoz7x1AoQLWUBznfd6ih+V+IGgG49iIQAAggMCCh+SA8E7PqT+28K5z/j0rB3/r39Vz33qvAX73tR9gqAg7eHt73x3nDutf8x/M1vLdwkWHZM133E86M+xaCEQwABBBBoJMD1qBEbnRBAAAEEEEBgSgQUvyvxFkATVixFH+pRZxreGN7+lqsiRp05Fx2ryCOFGIociozq7FfkkUIMRQ513IqOVeQxOTFGvP3Pwf83XHnpHeF5V74qrD14R9jzqfkPCA6rwr960ur5NwH6Tjiw9/8Jdx88VMS4uH9yLBZTLnygmEth8IoNihy6FKMiW+FhXbJQzKUQqmKDIocuxajINvIwr4e3vyWXSoyRUBUbvXPx9sdz+UJ5Tb39VWuyfGb196QyF28e3v715Yb3UOSRQgxFDsOF6u1V5NGlGPX0lh/dJQvFXJYL1dujyKFLMerpcfQ4BbgBME7dXGx76Ut8+UtuNw8dApg68IZ0xXMIimOXea7bsNERYdq6PhS+9Hd/H+b/8f/89sTwsz993AJA/4//t4Qv/5t//X/Yu9+Y2a71IOxjGpRS5UP+nEr3A5GP7USVSqniAKqqNhGEpNSpLQENJFFlYucPJQr5UMK/JLfO4eKEtkjtrXp7E3GDj2VLhagIqM+prRZKISoCqSU3SP2AGoytFgk+HErVRESphN6e53WW957j2bP3zPPMvGv2+9vSe96ZWWs961m/9ewzx7M9M5sP//J/s/nn/+cvbP6P605ftfk3f8tzm837f27zn/zVX7N55ss/+qigjwb5c07A89Gc0GHt/v48zGuuN885ocPaeR7mNdeb55zQYe3h6agVUKM8awVqo6lPnrUCtdHUJ89agb6ifUlf6ciGAAECBG6nwP+3+X/+yf/7q0v/e5uHP/lTm81X/d3N23/zqzf/8X/5Jzb/8t/4bx+3/fPN//W//Z3NP7zu9SWbf/K//uTmR//qv7L543/yWx6/E8BBgAABAgQIECBAgAABAgQIECDwpIB3ADwp4j4BAgQI3IDAl2++8fv/o823fOrXPp77Fzd/7+/9w80//5of2Px37/zY5puf+Rd/NZ+nNl/+9f/G5jdGl1/7lZuveubf3fzxn/jdm7v+5/8b2C9TEiBAgAABAgQIECBAgAABApcg4B0Al7BLciRA4NYI/NIv/dImfj71qU/dmjW3hf4Lz/zezU/97d/b7u74/Ws2X/6bfmjzl3/hh3a03c6H/v4v/P3N13zt19zOxVs1AQIECBAgQIAAAQIECBAgMCvgHQCzRDoQIEDg9ALxov9Pf+ELm9/6jd+4efFbv/X0E5rh4gV+5s//zOZ3fMu3bL73u79n88UvfvHi12MBBAgQIECAAAECBAgQIECAQL3AU1ePj31hn7v7zOb9Dz/Y10XbAoH2BVevvvLygt66LBFgukRpeR+ey62W9FzqGS/8//k/9+c2P/WTP7n5p//3P938tm/6ps0P/OAf3Dz//PNLprk1fZZ63hqQxwvN1E54vn7vNc/vRQWjPosgfzUMT561ArXR1Ge9p+ejetOI6L87a1yd8zWOLQrPJlHzm2eNY4vCs0nU/OZZ4xhRKl6bdwGgbj9EIkCAwGKBzIu3iyfR8VYIHFtLFf+IuBXAFkmAAAECJxXwfHRSXsEJECBAgACBCxeo+LeSjwC6sCJ48PC9dMbZGNnxsYCKGHE1sV1RPBalIo8eYlTkwHOoolN6xou17aN+/tSP/8Tm677u+c1f+Et/cfPTb/zZT/xf/xV5rCWG+hzqM26N9/XLvuzLNt/7fd+3+es/+7ObH/7RH9n8/M9/cfNtv+t3n/yjgcY5bGe3/N5aYqjP7T3P7ivP/jwjo+y+ZsdX5FARo6I+K/JYi2dYVBw9ePSQQ1hW1Ggva8nmkR3Pc/vs5FnvkTV1vtfvyXbEw+9l9zRmXEuMivo8fAeMmBJwAWBKpvhxhV8MKhyBCxCIt7S345AX/tsYvwkcInDIhYB4TnIQIECAAIGbFvB8dNM7YH4CBAgQaAJet2sSfq9R4EvWuChrIkCAQC8Cx348Sy/5y+PyBNqFgO/4zu/8+Psl4h0Bvl/i8vZSxgQIECBAgAABAgQIECBAICvgOwCyggvH7/q/W9oXM+1qi7BL26NvNsbU+EPymIrR1lGRZ0WMS8+ztz2Z8uwtz3PXzq/8yq9s/vSf+vHNr/t1/9Lml3/5n3384uvP/93/PVL5xFF5nkztSeUcsYC5eY5tj9gt12NjtPHy3Gx+z7f9rusLAZ/9zz97XYvPfe3Xbr7hG3/r5s0/+4XNp+99Joiuj2aWNZ8bH5PN9cm2V8xREWNqHRG7yvs25XnKtbb9qJijIsZU7VxKnmHQcp1by1z7KT17y/OUa237UTFHRYzxvsc7Jk/xfFSdZ8QbH810vJZj2mNMNsbU+IjdU56nXGtbZ8UcFTEuZU8uJc9T7sml1M6l5Bl71XKdqq+l7efY96kcY+44luY6FWfp+JgrG2NufMUcx8RoBjHWcZxAxXcAeAfAcfZGESBAYK/Auw8fXLfHi/9x/M9/7a9d/1zf2fHH+OOCdjRfPzTXJ9sek6wlxtw6elnrOfJ8co73f+EXNvHjIECAAAECBAgQIECAAAECBG6BwNXM8ezTd2d6aF4i8Mb9t67iJ3u88+DdbIirbIzs+FhARYwK04o8eohRkQPP4dSq8vzMZ3786nte/e6r+Hv0Nz3//NUX/syfufrFX/zFYaKZWxV5rCWG+twulkP29ed+7uc+UYc/+VNfuK7L7aiH3Tskh6nIa4mhPrd3OLuvPPvzjIyy+5odX5FDRYyK+qzIY02eFf+92YNHDzlEbVXUaC9ryeaRHc8zBIaD52ARtyo8sjGc77V7wrM/z+2Mbu+9in8r+RLgW3CRxxIJELgZgV//1V+9+ek3/uzmL/ylv7j5uq97fvOnfvwnNr/1G79x89Nf+MImvhvAQeCUAl/84hc33/vd37OJz///+Z//4uaHf/RHNn/9Z392873f932bL/3SLz3l1GITIECAAAECBAgQIECAAAECnQi4AHCmjYjPvPK5V2fCNg2BzgSef/55FwI625M1p7Pvhf/4guA4PB+tuQKsjQABApcj4PnocvZKpgQIEFi7gNft1r7Dt3t9vgT4jPtf8aUNZ0zXVAQInEggXqD9r/+rz11/J8BXfOVXbP7A93//5ju+8zs37cXZE00r7MoFDq0rz0krLwjLI0CAwIUIeD66kI2SJgECBAgQIHAjAhX/VvIOgBvZOpMSIHCbBbwj4Dbvfv3ax//Hf3zZ9O/7ru/aPHz33euP+nFRqd5bRAIECBAgQIAAAQIECBAgcEkCLgCcabfuv/l2yUwPHr6XjpONkR0fC6iIEaZZ14o8eohRkQPP4dQ6l+fUhYCf+fM/c51MRR5riaE+h/qMW7Gv//gf/+OPP+O/vfD/N//239r82J+4t/nUpz61PeCJe9m/O1sOT4Q9+K76HMjWYlFRG873oS568azIYy01XlGfPIcar3g+qvCsiNFLjVfUaC9ryeaRHR91wTMUPjp4Nok6j6yp+qzdE579eW5n5F5GwAWAjJ6xBAgQKBB48kLAn/7P/tOCqEKsXeBv/PW/cf0xUvF//C994X/tJtZHgAABAgQIECBAgAABAgQIbAt8yfZd9wgQIEDgpgTahYCbmt+8lyXw7d/x7Zv4cRAgQIAAAQIECBAgQIAAAQIEpgS8A2BKxuMECBAgQIAAAQIECBAgQIAAAQIECBAgQOCCBVwAuODNkzoBAgQIECBAgAABAgQIECBAgAABAgQIEJgS8BFAUzIe717g1Vde7j7HS0qQZ+1u8eRZKyBazwLO99rd4cmzVqA2mvqs9RStXkCN1pry5FkrUBtNfdZ6ilYroD5rPbPRnrp6fOwL8tzdZzbvf/jBvi7aFgqwXAilGwECBAicXMBz0smJTUCAAAECCwQ8Hy1A0oUAAQIECBC4tQIV/1byEUC3tnwuf+H333x7Ez+OGgGeNY4tCs8mUfObZ42jKKcRUJ+1rjx51grURlOftZ6i1Quo0VpTnjxrBWqjqc9aT9FqBdRnrWc2mgsAWcGF46PwK44HD99Lh8nGyI6PBVTESEMU5VGxlmyM7PgKy4hRkUcPMSpyqDCtyGNNMbKma7LIrqXiOSmbw5r+zsjW5tosKmoja1qRw5piZD0rapTn9i5kPbLjK/a0IkbF81FFHhUxetmTWEv26GUt2Tyy47OObXxFHj3EqMihmWR+V+SxphgZyxi7JovsWipesM7msLY9ydan8XUCLgDUWYpEgAABAgQIECBAgAABAgQIECBAgAABAgS6EfAdAGfairiS+Pq91zaf/dznP57xpRdfuL49dYVwaXsE6SHGXA7VeT569Oja786dO9e/l3qdO8/r5EZ/9JrnsZ6xtF2mbZ1T7fF467Nr/Li9lxiH5FntOfaYy2OunWcI5Ouv1W/EmjOfa6+IMTfHuD3q81TPSeN5Yl3tqPQ6xxyR99w8rX3qfJ+KUWkxNUc83uZpecZj46O1x2O7+sy1x7jWZ9f4cXvcnuvT2g/1HM/TYsRj4+MUeY7jx+02R9zO5jE3/pA5Tuk5lUelxdQc8Xibp9Ir4o6PJ+e4Cc/I58k8xjke0h5957zm2qditBwPaQ/PUz0fTeURj7dcT7XWijmOjTFVo3NrnWuPfOb6zLVXxDjHHOM81+45Xmvcbkc7R+L+nPlc+zjGsZ7jGHF7fLRc5/KYa4+Yc33m2itiHDIHz/yejb3Ds72+1Gqsqr7G87TY8bvFj9tzfbLtFXMcEqPVpy8DDrXcUfEdAJv4EuB9x7NP393XrG2hwBv337qqsHznwbsLZ5zulo2RHR+ZVcQI0/jJHBV59BCjIgeeQyXxHCziVoVHNob6rN2T8Mw+J2X3tJfaqshDfdbXZ5hmDvU56FXUZ0TLmmbHV+RQEYNnKA5Hdl/DM/t8FNlk86iI0UMOsY6KGu1lLdk8suN5hsBw8Bws4laFRzaG8712T3j257md0e29V/FvJR8BlLsIYzQBAgQIECBAgAABAgQIECBAgAABAgQIEOhSwAWALrdFUgQIECBAgAABAgQIECBAgAABAgQIECBAICfgOwByfgeNLvnMpoNmXHfn+F6FOHyeWM0+86xxbFF4Noma3zxrHMdRPCeNNXK31WfO78nRPJ8Uyd3nmfN7cjTPJ0Xy9z0f5Q3HEdToWCN/m2fecByB51gjf5tn3lCE0wmozzrbin8ruQBQtx+zkSo2bHYSHQgQIECAwAIBz0kLkHQhQIAAgZMLeD46ObEJCBAgQIAAgQsWqPi3ko8AOlMBtCtf2emmvvX7kLjZGNnxkWtFjEPWPNW3Io8eYlTkMGV0yOMVefQQoyKHQ9ym+lbksaYYU05LH1+TRXYtFc9J2Rxi39YUY2kdTvVbk0XFWqaclj5ekcOaYix129cv65EdH7n1EmOf09K27Fqy43vxrHg+6mUtvezJ0hrc16+XtWTzyI7fZ3RIW0UePcSoyOEQt6m+FXmsKcaU09LH12SRXUs8J2Wfl7I5xL6tKcbSOtTv9AIuAJze+OMZPn3vMx/fdiMvUPGXcz6L9UTgWbuXPHnWCojWs4DzvXZ3ePKsFaiNpj5rPUWrF1CjtaY8edYK1EZTn7WeotUKqM9az2w0FwCygsYTIECAAAECBAgQIECAAAECBAgQIECAAIEOBVwA6HBTpESAAAECBAgQIECAAAECBAgQIECAAAECBLICLgBkBY0nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIdCrgA0OGmSIkAAQIECBAgQIAAAQIECBAgQIAAAQIECGQFnrp6fOwL8tzdZzbvf/jBvi7aCBAgQIAAgQsT8Px+YRsmXQIECKxUwPPRSjfWsggQIECAAIESgYp/K3kHQMlWCEKAAAECBAgQIECAAAECBAgQIECAAAECBPoScAGgr/2QzQEC9998exM/jhoBnjWOLQrPJlHzm2eNoyinEVCfta48edYK1EZTn7WeotULqNFaU548awVqo6nPWk/RagXUZ61nNpoLAFnBheOrCv/Bw/cWzjjdLRsjOz4yq4gxvcLlLRV59BCjIoflatM9K/LoIUZFDtNKy1sq8lhTjOVyu3uuySK7lnhOyh7ZHGL+NcXgOQhU7OsQ7bhbFTmsKcZxitujsh7Z8ZFNLzG2ZY67l11LdnwvnhXPR72spZc9Oa4it0f1spZsHtnx2yrH36vIo4cYFTkcrziMrMhjTTEGmeNurckiu5aK1+2yOcQurinGcVVp1CkEXAA4haqYBAgQIECAAAECBAgQIECAAAECBAgQIEDghgV8CfCZNqD93y137tz5eMaXXnzh+vbU1b2l7RGkhxhzOVTn+ejRo2u/ZrrU69x5Xic5+qPXPI/1nNrXts6p9ni89VnjnlR7HuLFc6itU9Zfq99TzlG57+O6iPp8/d5rm89+7vMxxfXR1jPu19rid1V7xLqEOQ7Jc+p8n4rRLKfa4/HWZ87qlDFaDqecY9daD/XcFSMeGx9tLTfpGfkszaMyz1N6xpp25drWOdUej7c+u8aP23uJ0fK8Cc+xR8sjHhsfPXi2HCKvXXnuag/PUz0fTeURj7dcduU5bp+K0cZPtY9jHDvHsTGmanQuj7n2XtZ67jzX7jm1r6eq8WM9p/I85Dw5d+1EbuOjmc7lMdceMVsfnoPF2DpuH+Mdnu31pRbvmDht7CF5RN+2r+Pxh8SYG18xxyExWn2++srLTy7J/QMFKr4EeHM1czz79N2ZHpqXCLxx/62r+Mke7zx4NxviKhsjOz4WUBGjwrQijx5iVOTAczi1eA4WVedr1lR91u5JeGaf37N72kttVeShPuvrM0wzh/oc9CrqM6JlTbPjK3KoiMEzFIcju6/hmX0+imyyeVTE6CGHWEdFjfaylmwe2fE8Q2A4eA4WcavCIxvD+V67Jzz789zO6Pbeq/i3ko8AOvCqi+4ECBAgQIAAAQIECBAgQIAAAQIECBAgQOASBFwAuIRdkiMBAgQIECBAgAABAgQIECBAgAABAgQIEDhQwHcAHAimOwECBAgQWINAyecIrgHCGggQIEDgRgU8H90ov8kJECBAgACBzgUq/q3kHQCdb7L0CBAgQIAAAQIECBAgQIAAAQIECBAgQIDAMQIuAByjdsSY+2++vYmf7DH1rd6HxM3GyI6PXCtiVJhW5NFDjIoceA5nEc/Boup8zZqqz9o9WcvzkfqsrQuePLcFtu9l/x7Pjl9TfVasZU2e25V23L0ePHrIIfT8m2mooYo94clzENi+VVFf2Rjqs3ZPePbnuZ2RexkBFwAyegeOff3eaweO0J0AAQIECBAgQIAAAQIECBAgQIAAAQIECBwn4ALAcW5GESBAgAABAgQIECBAgAABAgQIECBAgACBrgVcAOh6eyRHgAABAgQIECBAgAABAgQIECBAgAABAgSOE3AB4Dg3owgQIECAAAECBAgQIECAAAECBAgQIECAQNcCLgB0vT2SI0CAAAECBAgQIECAAAECBAgQIECAAAECxwk8dfX42Df0ubvPbN7/8IN9XbQtFGC5EEo3AgQIEDi5gOekkxObgAABAgQWCHg+WoCkCwECBAgQIHBrBSr+reQdALe2fCycAAECBAgQIECAAAECBAgQIECAAAECBNYs4ALAmnd35Wu7/+bbm/hx1AjwrHFsUXg2iZrfPGscRTmNgPqsdeXJs1agNpr6rPUUrV5Ajdaa8uRZK1AbTX3WeopWK6A+az2z0VwAyAouHB+FX3E8ePheOkw2RnZ8LKAiRhqiKI+KtWRjZMdXWEaMijx6iFGRQ4VpRR5ripE1XZNFdi0Vz0nZHNb0d0a2NtdmUVEbWdOKHNYUI+tZUaM8t3ch65EdX7GnFTEqno8q8qiI0cuexFqyRy9ryeaRHZ91bOMr8ughRkUOzSTzuyKPNcXIWMbYNVlk11LxgnU2h7XtSbY+ja8TcAGgzlIkAgQIECBAgAABAgQIECBAgAABAgQIECDQjYAvAT7TVsSVxNfvvbb57Oc+//GML734wvXtqSuES9sjSA8x5nKQ5/V2b5bu66V4Tu1rW+dUezze+lzKWuU57FnFvl6K59RaW/1Otcfjrc851jo3x7j90aNHJ3tOGs8TBu1oFnF/rk+2vWKOU8aotJBnCCw/1+ZqK2LN9Zlrr4hxjjkq8pyKcSk1Hvm3XOfM59qnLA6ZoyLGTebZLKfWsav9lM9HU3lU7MmutUTc8dH63OSeRD5L85DnYBVucx7Z9oo5Thmj1c0p54jYbZ45z4o8zjGHPIc9rbCoiDG37+P2eE66c+dOTPvxsbRGx3E+Hvz4xtLxMSYbY258xRzHxGgGMdZxnEDFlwBvrmaOZ5++O9ND8xKBN+6/dVVh+c6Dd5dMt7dPNkZ2fCRXESNM4ydzVOTRQ4yKHHgOlcRzsIhbFR7ZGOqzdk/CM/uclN3TXmqrIg/1WV+fYZo51OegV1GfES1rmh1fkUNFDJ6hOBzZfQ3P7PNRZJPNoyJGDznEOipqtJe1ZPPIjucZAsPBc7CIWxUe2RjO99o94dmf53ZGt/dexb+VfATQcRdfjCJAgAABAgQIECBAgAABAgQIECBAgAABAl0LuADQ9fZIjgABAgQIECBAgAABAgQIECBAgAABAgQIHCfgOwCOcztqVMlnNh01s0EECBAgQGBbwHPStod7BAgQIHAzAp6PbsbdrAQIECBAgMBlCFT8W8k7AC5jr2VJgAABAgQIECBAgAABAgQIECBAgAABAgQOEnAB4CCu4zvff/Pt4wePRk59q/eoy+zNbIzs+EiwIkaYZl0r8ughRkUOPIdTh+dgUXW+Zk3VZ+2eZP/u7KUueslDfdbXZ7ZGs3/n9FJbFXlU1GdFHmvZE5715/t2xOPu9VBfPeQQehU12stasnlkx/PcPh951ntkTZ3vtXvCsz/P7Yzcywi4AJDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECHQq4AJApxsjLQIECBAgQIAAAQIECBAgQIAAAQIECBAgkBFwASCjd+DYT9/7zIEjdCdAgAABAgQIECBAgAABAgQIECBAgAABAscJuABwnJtRBAgQIECAAAECBAgQIECAAAECBAgQIECgawEXALreHskRIECAAAECBAgQIECAAAECBAgQIECAAIHjBJ66enzsG/rc3Wc273/4wb4u2ggQIECAAIELE/D8fmEbJl0CBAisVMDz0Uo31rIIECBAgACBEoGKfyt5B0DJVghCgAABAgQIECBAgAABAgQIECBAgAABAgT6EnAB4Ez7cf/Ntzfxkz0ePHwvG2KTjZEdHwuoiFFhWpFHDzEqcuA5nFo8B4uq8zVrqj5r92Qtz0fqs7YuePLcFti+l/17PDt+TfVZsZY1eW5X2nH3evDoIYfQ82+moYYq9oQnz0Fg+1ZFfWVjqM/aPeHZn+d2Ru5lBFwAyOgZS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEOhVwAaDTjZEWAQIECBAgQIAAAQIECBAgQIAAAQIECBDICPgS4IzeAWPjrURx3Llz5+NRL734wvXtqbd9LW2PID3EmMtBntfbvVm6r5fiObWvbZ1T7fF463Mpa5XnsGcV+3opnlNrbfU71R6Ptz7nWOvcHOP2R48ebV6/99rms5/7fKR5fSzNdRynjY3fS8dH32yMufEVc5wyRrM65RwRu81zrFcb33ueh6z1WItD5qjwupQ8p9aqdkJmOJrHOfb1HHPEynbN09Z5SPspn4+m8ojHW6671jFun4rRxk+1j2McO8e5Y8hzqIuKfb0Uz6m1qvGQGY7mcY59PcccsbK5ebLtFXNUxDhkHfGcNH7NLuZfuveHzBNx29Hix/1sjLnxFXMcE2O8xhjvOFyg4kuAN1czx7NP353poXmJwBv337qKn+zxzoN3syGusjGy42MBFTEqTCvy6CFGRQ48h1OL52BRdb5mTdVn7Z6EZ/b5PbunvdRWRR7qs74+wzRzqM9Br6I+I1rWNDu+IoeKGDxDcTiy+xqe2eejyCabR0WMHnKIdVTUaC9ryeaRHc8zBIaD52ARtyo8sjGc77V7wrM/z+2Mbu+9in8r+Qigwy+8GEGAAAECBAgQIECAAAECBAgQIECAAAECBLoX8BFA3W+RBKcE2scqvfrKy1NdPH6AAM8DsBZ05bkA6YAuPA/AWti15G2EC+daezf1WbvDPHnWCtRGU5+1nhHN81GtqRrlWStQG0198qwVEK1nAed73e5U/FvJBYC6/RCJAAECBAhcjEDFPyIuZrESJUCAAIFuBTwfdbs1EiNAgAABAgQ6EKj4t5KPAOpgI6VAgAABAgQIECBAgAABAgQIECBAgAABAgSqBVwAqBadiBdvfWlvf5nosujhqW/1XjT4VztlY2THRxoVMSpMK/LoIUZFDjyHs4jnYFF1vmZN1efhe/LFL37x+mMV4v8W2PUTEXc9Ho/99Be+sD3hjnvZPY2Qa4mhPrcLJLuvPPvzrDhfs3VRkUNFjIr6rMjj0jy/97u/Z/I5Jzymno9+89d//eaXfumXosveowePHnIIpIoa7WUt2Tyy43lun3Y86z2yps732j3h2Z/ndkbuZQRcAMjoGUuAAAECBDoVeP755ze/7Zu+6eDsvuIrv2LzHd/5nQePM4AAAQIECEwJ/PEf/uGppr2P/4Hv//7Nl33Zl+3to5EAAQIECBAgQGC/gAsA+31KW1+/91ppPMEIECBAgMA+gdd/4sf3Ne9s+8yffN2LLTtlPEiAAAECxwp8zdd+zeb3fdd3HTT82eee3Xzv933fQWN0JkCAAAECBAgQ+KSACwCfNPEIAQIECBBYhcCnPvWpzQ//6I8sXku8Y+Bb/71vXdxfRwIECBAgsFTgh/7IH97Eu8yWHq/92L2lXfUjQIAAAQIECBDYI+ACwB4cTQQIECBA4NIF4uN8lr7g8gM/+AcvfbnyJ0CAAIFOBeKjfOIjfZYccUH6G77xG5Z01YcAAQIECBAgQGBG4Kmrx8e+PvGFTO9/+MG+LtoWCMSXicRHALFcgLWwS5jG8eorLy8cods+AZ77dA5v43m42b4RPPfpzLe9+9+/u/nBH/iBvR3joxl+7E/c29tH424B9bnb5dhHeR4rt3scz90uxz7K81i5Ydy3/PbfvvkH7/+D4YEdt/6Hv/JXNvGxQY7DBdTo4Wb7RvDcp3N4G8/DzfaN4LlP5/A2noeb7RvBc5/OYW0Vr827AHCYeap3xYalEjCYAAECBG6twO/59//9zc/9nZ/buf54h8DDd9/dxEcGOQgQIECAwCkFvvjFL26+7Xf97skpfuAHf3Dzh37oD022ayBAgAABAgQI3CaBiteTfQTQbaoYayVAgACBWyvwI5/+9OTa4yMZvPg/yaOBAAECBAoFnn/++U18xM+uIy5I//7/8PfvavIYAQIECBAgQIDAkQIuABwJd+iw9taXQ8c92f/Bw/eefOjg+9kY2fGRcEWMMM26VuTRQ4yKHHgOpxLPwaLqfM2aqs/8nsQLLr/zd/3O7UCP7z373LOb+J6AQ4/snsZ8a4mhPrerJ7uvPPvzrDhfs3VRkUNFjIr6rMjj0j1f/4kfD4ZPHH/kj/6xTXxXwKFHDx495BBuFTXay1qyeWTH89w+E3nWe2RNne+1e8KzP8/tjNzLCLgAkNEzlgABAgQIXJDAH/ljf+wTXwj82o/dO+rFlgtatlQJECBAoDOBeNdZfNTP+IgL0t/+Hd8+fshtAgQIECBAgACBAgHfAVCAuCREXEmMLwH+9L3PfNy9fXlttO06lrbH2GyMqfERe2keUzHa+Io8K2Jcep697cmUZ295qp3hXK6wqIhxKbVz6Xm2v4PbOv7W3/xfNv/TX/kfYws3z33t126+8z/46IvUn+x33WH0R1V7hGy5jMJf3+xpjlPmGbF7WuvUfvSW5yn3pO1HxRwVMab25FLy7K12pjx7y/O21c6v/MqvbD732f9i88u//M9i6ZtXvuf7Nr/+q7/a34/XGh/90c75qRqea48oc32WtkesY/Noc1TEmMuhYo6KGFN5RuzmMdVnafttyvOUa23eFXNUxJiri4o5KmJM5Rmxm+lUn6Xtp8xzLoeYO465flXtMVfWa258xRzHxGhGMdZxnIDvADjOzSgCBAgQIHBrBb7+N/+WzVd+1Vddr/+b/53fcWsdLJwAAQIEblbgS7/0Sze/7Zu/+TqJ3/Ab//XrF/9vNiOzEyBAgAABAgRWKnA1czz79N2ZHpqXCLxx/62rCst3Hry7ZLq9fbIxsuMjuYoYYRo/maMijx5iVOTAc6gknoNF3KrwyMZQn7V78of/8B+9+j3f9nu3gx54L7unMd1aYqjP7eLJ7ivP/jwrztdsXVTkUBGjoj4r8liT5zf8W//21T/6R/8oWI4+evDoIYcArKjRXtaSzSM7nuf2Kcmz3iNr6nyv3ROe/XluZ3R771W8nvwlK72uYVkECBAgQIDAhMC/+hv+tU38OAgQIECAwE0LvPq9v38T3wngIECAAAECBAgQOI2ACwCncf1E1PjMq/gOAAcBAgQIELhpAZ/DeNM7YH4CBAgQCAHPR+qAAAECBHoR8JzUy07I4xQCvgT4FKoTMSu+tGEitIcJECBAgAABAgQIECBAgAABAgQIECBAYEUCFa8n/5oVeVgKAQIECBAgQIAAAQIECBAgQIAAAQIECBAg8KsCLgCcqRTuv/l2yUwPHr6XjpONkR0fC6iIEaZZ14o8eohRkQPP4dTiOVhUna9ZU/VZuyc8eW4LDPey52pEysZQn8N+9OJZkUe2LipyqIhRUZ8VefAMxeHowaOHHEKkokZ7WUs2j+x4nsM5Frd41ntkTZ3vtXvCsz/P7Yzcywi4AJDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECHQq4AJApxsjLQIECBAgQIAAAQIECBAgQIAAAQIECBAgkBFwASCjZywBAgQIECBAgAABAgQIECBAgAABAgQIEOhUwAWAM27Mp+995oyzmYoAAQIECBAgQIAAAQIECBAgQIAAAQIEbrOACwC3efetnQABAgQIECBAgAABAgQIECBAgAABAgRWK/DU1eNj3+qeu/vM5v0PP9jXRRsBAgQIECBAgAABAgQIECBAgAABAgQIECBQKFDx2rx3ABRuiFDnFbj/5tub+HHUCPCscWxReDaJmt88axxFOY2A+qx15cmzVqA2mvqs9RStXkCN1pry5FkrUBtNfdZ6ilYroD5rPbPRXADICi4cX1X4Dx6+t3DG6W7ZGNnxkVlFjOkVLm+pyKOHGBU5LFeb7lmRRw8xKnKYVlreUpHHmmIsl9vdc00W2bVUPCdlc4hdWlOM3VW3/NE1WVSsZbnc7p4VOawpxm6lwx7NemTHR7a9xDhMbnfv7Fqy43vxrHg+6mUtvezJ7oo77NFe1pLNIzv+MLXp3hV59BCjIodppeUtFXmsKcZyud0912SRXUvFc1I2h9ilNcXYXXUevQkBFwBuQt2cBAgQIECAAAECBAgQIECAAAECBAgQIEDgxAIuAJwYWHgCBAgQIECAAAECBAgQIECAAAECBAgQIHATAr4E+Ezq8VaiOO7cufPxjC+9+ML17am39yxtjyA9xJjLoTrPR48eXfs106Ve587zOsnRH73meazn1L62dU61x+Otzxr3pNrzEC+eQ22dsv5a/Z5yjsp9H9dF1Gf7uzPmiKOtZ9zvo5aP/qxqj2iXMMcheU6d71MxmuVUezze+sxZnTJGy+GUc+xa66Geu2LEY+OjreUmPSOfpXlU5nlKz1jTrlzbOqfa4/HWZ9f4cXsvMVqeN+E59mh5xGPjowfPlkPktSvPXe1PesbY1m9XjEPao++pYrQcTznHsWt90rTleiqLY/OMceOj1zzX7hl7sKs22n5Mtcfjrc+u8eP2cYxjPccx4vb4WJrHIXmO48ftpXNE37l5su3jOXjWeoen/0ba/bHj7RwY11/cHh+tT6vxVp+vvvLyuJvbRwhUfAnw5mrmePbpuzM9NC8ReOP+W1fxkz3eefBuNsRVNkZ2fCygIkaFaUUePcSoyIHncGrxHCyqztesqfqs3ROePLcFhnvZczUiZWOoz2E/evGsyCNbFxU5VMSoqM+KPHiG4nD04NFDDiFSUaO9rCWbR3Y8z+Eci1s86z2yps732j3h2Z/ndka3917Fa/M+AuiIKy+GECBAgAABAgQIECBAgAABAgQIECBAgACB3gV8BFDvOyS/SYH2sUreTjRJdFADz4O4ZjvznCU6qAPPg7h0PrOA+qwF58mzVqA2mvqs9RStXkCN1pry5FkrUBtNfdZ6ilYroD7rPCs+AsgFgLr9EIkAAQIECBAgQIAAAQIECBAgQIAAAQIECJQIVFwA8BFAJVsxHySufLWrX/O99SBAgAABAqcT8Jx0OluRCRAgQGC5gOej5VZ6EiBAgMBpBTwnndZX9JsVcAHgZv0Pnr19m/bBA0cDsjGy4yOVihgVfzlX5NFDjIoceA4nCc/Boup8zZqqz/o92Y54+L3snvZSWxV5qM/t+snWBs/+PCvOk2xdVORQEaOiPivyWItnWFQcPXj0kENYVtRoL2vJ5pEdz3P77ORZ75EZq5quAABAAElEQVQ1db7X78l2xMPvZfc0ZlxLjIr6PHwHjJgScAFgSsbjBAgQIECAAAECBAgQIECAAAECBAgQIEDgggVcALjgzZM6AQIECBAgQIAAAQIECBAgQIAAAQIECBCYEnABYErG4wQIECBAgAABAgQIECBAgAABAgQIECBA4IIFXAA44+a9fu+1M85mKgIECBAgQIAAAQIECBAgQIAAAQIECBC4zQJPXT0+9gE8d/eZzfsffrCvi7YFAvHlF3EBgOUCLF0IECBA4KQC8ZwUx6uvvHzSeQQnQIAAAQL7BDwf7dPRRoAAAQLnFPCcdE5tcx0iUPHavAsAh4gn+1ZsWDIFwwkQIECAAAECBAgQIECAAAECBAgQIEDgAgQqXk/2EUAXsNFS3C0QV2fbFdrdPTx6iADPQ7Tm+/KcNzqkB89DtPQ9t4D6rBXnybNWoDaa+qz1FK1eQI3WmvLkWStQG0191nqKViugPms9s9FcAMgKLhwfhV9xPHj4XjpMNkZ2fCygIkYaoiiPirVkY2THV1hGjIo8eohRkUOFaUUea4qRNV2TRXYtFf8Yy+awpr8zsrW5NouK2siaVuSwphhZz4oa5bm9C1mP7PiKPa2IUfF8VJFHRYxe9iTWkj16WUs2j+z4rGMbX5FHDzEqcmgmmd8VeawpRsYyxq7JIruWiuekbA5r25NsfRpfJ+ACQJ2lSAQIECBAgAABAgQIECBAgAABAgQIECBAoBsB3wFwpq2IK4nxJcCf/dznP57xpRdfuL49dYVwaXsE6SHGXA7VeT569Oja786dO9e/l3qdO8/r5EZ/9JrnsZ6xtF2mbZ1T7fF467Nr/Li9lxiH5FntOfaYy2OunWcI5Ouv1W/EmjOfa6+IMTfHuD3qs/3dGXPH0dYz7vdRy0d/VrVHtEuY45A8p873qRjNcqo9Hm995qxOGaPlcMo5dq31UM9dMeKx8dHWcpOekc/SPCrzPKVnrGlXrm2dU+3xeOuza/y4vZcYLc+b8Bx7tDzisfHRg2fLIfLaleeu9ic9Y2zrtyvGIe3R91QxWo6nnOPYtT5p2nI9lcWxeca48dFrnmv3jD3YVRttP6ba4/HWZ9f4cfs4xrGe4xhxe3wszeOQPMfx4/bSOaLv3DzZ9vEcPGu9w9N/I+3+1JF2DozrL26Pj9an1Xirz1dfeXncze0jBCq+A2BzNXM8+/TdmR6alwi8cf+tqwrLdx68u2S6vX2yMbLjI7mKGGEaP5mjIo8eYlTkwHOoJJ6DRdyq8MjGUJ+1e8KT57bAcC97rkakbAz1OexHL54VeWTroiKHihgV9VmRB89QHI4ePHrIIUQqarSXtWTzyI7nOZxjcYtnvUfW1Pleuyc8+/Pczuj23qt4PdlHAB1x5cUQAgQIECBAgAABAgQIECBAgAABAgQIECDQu4ALAL3vkPwIECBAgAABAgQIECBAgAABAgQIECBAgMARAr4D4Ai0Y4eUfGbTsZOvcFx8r0IcPk+sZnN51ji2KDybRM1vnjWOopxGQH3WuvLkWStQG0191nqKVi+gRmtNefKsFaiNpj5rPUWrFVCfdZ4Vrye7AFC3H7ORKjZsdhIdCBAgQIAAAQIECBAgQIAAAQIECBAgQODiBSpeT/YRQGcqg3blKztd+zbtTJxsjOz4yL0iRphmXSvy6CFGRQ48h7OK52BRdb5mTdVn7Z7w5LktMNzLnqsRKRtDfQ770YtnRR7ZuqjIoSJGRX1W5MEzFIejB48ecgiRihrtZS3ZPLLjeQ7nWNziWe+RNXW+1+4Jz/48tzNyLyPgAkBGz1gCBAgQIECAAAECBAgQIECAAAECBAgQINCpgAsAnW6MtAgQIECAAAECBAgQIECAAAECBAgQIECAQEbABYCMnrEECBAgQIAAAQIECBAgQIAAAQIECBAgQKBTARcAOt0YaREgQIAAAQIECBAgQIAAAQIECBAgQIAAgYyACwAZPWMJECBAgAABAgQIECBAgAABAgQIECBAgECnAk9dPT725fbc3Wc273/4wb4u2hYKsFwIpRsBAgQIECBAgAABAgQIECBAgAABAgRuuUDF68neAXDGInIh5YzYpiJAgAABAgQIECBAgAABAgQIECBAgMAtF3AB4JYXwCUv//6bb2/ix1EjwLPGsUXh2SRqfvOscRTlNALqs9aVJ89agdpo6rPWU7R6ATVaa8qTZ61AbTT1WespWq2A+qz1zEZzASAruHB8VeE/ePjewhmnu2VjZMdHZhUxple4vKUijx5iVOSwXG26Z0UePcSoyGFaaXlLRR5rirFcbnfPNVlk11LxnJTNIXZpTTF2V93yR9dkUbGW5XK7e1bksKYYu5UOezTrkR0f2fYS4zC53b2za8mO78Wz4vmol7X0sie7K+6wR3tZSzaP7PjD1KZ7V+TRQ4yKHKaVlrdU5LGmGMvldvdck0V2LRXPSdkcYpfWFGN31Xn0JgRcALgJdXMSIECAAAECBAgQIECAAAECBAgQIECAAIETC/gS4BMDt/BxJTGOO3futIc2L734wvXtqat7S9sjSA8x5nKQ5/V2r27fp/a11e9Uezze+qidwaLCi2et59SetPqdao/HW59z7MncHOP2R48ebT0fHZLrOE6Ma0dPa42ceshzKo9mNdUej7c+c+s4ZYyWwynnOPdab9LzkLVeSp5TtaF2QmY4msc59vUcc8TKds3T1nlIezwfxXFp/400t9ZYU+uzy2rcHrfn+sy1V8Q4xxzyHOqiwuKUMVr9nnKOiN3mOUf9nWOOCi95DnVxDs+xt/9Gmn8+OmZP2nkeYx3HCVR8CfDmauZ49um7Mz00LxF44/5bV/GTPd558G42xFU2RnZ8LKAiRoVpRR49xKjIgedwavEcLKrO16yp+qzdE548twWGe9lzNSJlY6jPYT968azII1sXFTlUxKioz4o8eIbicPTg0UMOIVJRo72sJZtHdjzP4RyLWzzrPbKmzvfaPeHZn+d2Rrf3XsVr8z4C6LiLL0YRIECAAAECBAgQIECAAAECBAgQIECAAIGuBVwA6Hp7JEeAAAECBAgQIECAAAECBAgQIECAAAECBI4T8B0Ax7kZRYAAAQIECBAgQIAAAQIECBAgQIAAAQIETiZQ8R0A3gFwsu0RmAABAgQIECBAgAABAgQIECBAgAABAgQI3JyACwBnsr//5tub+Mke428oPzZWNkZ2fORdEaPCtCKPHmJU5MBzOKN4DhZV52vWVH3W7glPntsCw73suRqRsjHU57AfvXhW5JGti4ocKmJU1GdFHjxDcTh68OghhxCpqNFe1pLNIzue53COxS2e9R5ZU+d77Z7w7M9zOyP3MgIuAGT0jCVAgAABAgQIECBAgAABAgQIECBAgAABAp0KuADQ6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIZARcAMjoGUuAAAECBAgQIECAAAECBAgQIECAAAECBDoVcAGg042RFgECBAgQIECAAAECBAgQIECAAAECBAgQyAi4AJDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECHQq8NTV42Nfbs/dfWbz/ocf7OuijQABAgQIECBAgAABAgQIECBAgAABAgQIECgUqHht3jsACjdkLlRsmIMAAQIECBAgQIAAAQIECBAgQIAAAQIECJxDwAWAcyg/nuP+m2+faabbM02Ycq3bb551lhGJJ89agdpo6pNnrUBtNPXJs1agNpr65FkrUB9Njdaa8uRZK1AbTX3yrBWojaY+az2z0VwAyAqeefyDh++lZ8zGyI6PBVTESEMU5VGxlmyM7PgKy4hRkUcPMSpyqDCtyGNNMbKma7KoWAvPQYBnrQXP9XnGirL7mh1fkUNVjIiTPbIe2fGRfy8xspa9rIXn9k724FGRw/aqjrtXkUcPMSpyOE5we1RFHmuKsa1z+L01WVSs5XDB7REVOawpxraOezcp4ALATeqbmwABAgQIECBAgAABAgQIECBAgAABAgQInEjAlwCfCPbJsPHWl9fvvbb57Oc+/3HTSy++cH176ure0vYI0kOMuRzkeb3dm6X7eimeU/va1jnVHo+3PpeyVnkOe1axr5fiObXWVr9T7fF463OOtc7NMW5/9OjR5s6dO5Hix8fSXMdxPh78+MbS8TEmG2NufMUcp4zRrE45R8Ru8xzr1cb3nuchaz3W4pA5KrwuJc+ptaqdkBmO5nGOfT3HHLGyXfO0dR7SHs9HcYyfk1qcXXNE36Xt0fdUMVoOp5wjYrd55tZRkcc55pDnsKcVFqeM0WrvlHNE7DbPOervHHNUeMlzqItzeI69/TfS/PPmMXvSzvMY6zhOoOJLgDdXM8ezT9+d6aF5icAb99+6qrB858G7S6bb2ycbIzs+kquIEabxkzkq8ughRkUOPIdK4jlYxK0Kj2wM9Vm7Jzx5bgsM97LnakTKxlCfw3704lmRR7YuKnKoiFFRnxV58AzF4ejBo4ccQqSiRntZSzaP7HiewzkWt3jWe2RNne+1e8KzP8/tjG7vvYrXk30E0HEXX4wiQIAAAQIECBAgQIAAAQIECBAgQIAAAQJdC/gIoDNtT/sIoPc//OBMM65/mjCN49VXXl7/Ys+wQp61yDx51grURlOfPGsFaqOpT561ArXR1CfPWoH6aGq01pQnz1qB2mjqk2etQG009VnnWfERQC4A1O3HbKSKDZudRAcCBAgQIECAAAECBAgQIECAAAECBAgQuHiBiteTfQTQxZeBBRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgU8KuADwSZOTPNLe+pINPv6G8mNjZWNkx0feFTHCNOtakUcPMSpy4DmcUTwHi6rzNWuqPmv3hCfPbYHhXvZcjUjZGOpz2I9ePCvyyNZFRQ4VMSrqsyIPnqE4HD149JBDiFTUaC9ryeaRHc9zOMfiFs96j6yp8712T3j257mdkXsZARcAMnrGEiBAgAABAgQIECBAgAABAgQIECBAgACBTgVcAOh0Y6RFgAABAgQIECBAgAABAgQIECBAgAABAgQyAi4AZPSMJUCAAAECBAgQIECAAAECBAgQIECAAAECnQq4ANDpxkiLAAECBAgQIECAAAECBAgQIECAAAECBAhkBJ66enzsC/Dc3Wc273/4wb4u2hYIxJeJvH7vNZYLrJZ2CdM4Xn3l5aVD9NsjwHMPzhFNPI9A2zOE5x6cI5p4HoG2ZwjPPThHNPE8Am3PEJ57cI5o4nkE2p4hPPfgHNnE9Ei4iWE8J2COfJjnkXATw3hOwBz5MM8j4SaG8ZyAOeLhitfmXQA4Av7YIRUbduzcxhEgQIAAAQIECBAgQIAAAQIECBAgQIDA5QhUvJ7sI4AuZ79lSoAAAQIECBAgQIAAAQIECBAgQIAAAQIEFgu4ALCYKtcx3vry6XufyQV5PPrBw/duPEYPOQRCmLa3FB2L0stasnlkx/PcriCe9R5ZU+d77Z7w5LktMNzLnqsRKRtDfQ770YtnRR7ZuqjIoSJGRX1W5MEzFIejB48ecgiRihrtZS3ZPLLjeQ7nWNziWe+RNXW+1+4Jz/48tzNyLyPgAkBGz1gCBAgQIECAAAECBAgQIECAAAECBAgQINCpgO8AONPGxJXEJ4/25bW72qLv0vbom40xNf6QPKZitHVU5FkR49Lz7G1Ppjx7y1PtDH+nVFhUxLiU2rn0PNvfwfvWUXm+Ts3T8jhl7VTOcco8K71vU56nXOul1M6l5KnGQ2A42r75+3H4t8iURagt9ZqK0cZHrLk+x7bLMwSGo5nPecaIuT7Z9oo5KmJMrSNiL/WaitHG36Y8T7nWSk95hsBl1Hjb96nz7KOV1K1lap6WR8w31yfbXjHHMTHGa4zxjsMFfAfA4WZGECBAgAABAgQIECBAgAABAgQIECBAgACB2yFwNXM8+/TdmR6alwi8cf+tq/jJHu88eDcb4iobIzs+FlARo8K0Io8eYlTkwHM4tXgOFlXna9ZUfdbuCU+e2wLDvey5GpGyMdTnsB+9eFbkka2LihwqYlTUZ0UePENxOHrw6CGHEKmo0V7Wks0jO57ncI7FLZ71HllT53vtnvDsz3M7o9t7r+K1ed8BcDuu81glAQIECBAgQIAAAQIECBAgQIAAAQIECNwygS+5Zeu9seX6zKsbozcxAQIECDwh4DnpCRB3CRAgQOBGBDwf3Qi7SQkQIEBgh4DnpB0oHlqNgC8BXs1WWggBAgQIECBAgAABAgQIECBAgAABAgQIrEXAlwCvZSetgwABAgQIECBAgAABAgQIECBAgAABAgQIFAv4DoBi0Klw9998exM/2ePBw/eyITbZGNnxsYCKGBWmFXn0EKMiB57DqcVzsKg6X7Om6rN2T3jy3BYY7mXP1YiUjaE+h/3oxbMij2xdVORQEaOiPivy4BmKw9GDRw85hEhFjfaylmwe2fE8h3MsbvGs98iaOt9r94Rnf57bGbmXEXABIKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQ6FTABYBON0ZaBAgQIECAAAECBAgQIECAAAECBAgQIEAgI+ACQEbPWAIECBAgQIAAAQIECBAgQIAAAQIECBAg0KmACwCdboy0CBAgQIAAAQIECBAgQIAAAQIECBAgQIBARsAFgIyesQQIECBAgAABAgQIECBAgAABAgQIECBAoFOBp64eH/tye+7uM5v3P/xgXxdtBAgQIECAAAECBAgQIECAAAECBAgQIECAQKFAxWvz3gFQuCFCESBAgAABAgQIECBAgAABAgQIECBAgACBXgRcADjTTtx/8+1NXLHJHg8evpcNscnGyI6PBVTECNP4yRwVefQQoyIHnkMl8Rws4laFRzaG+qzdE548twWGe9lzNSJlY6jPYT968azII1sXFTlUxKioz4o8eIbicPTg0UMOIVJRo72sJZtHdjzP4RyLWzzrPbKmzvfaPeHZn+d2Ru5lBFwAyOgZS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEOhVwAaDTjZEWAQIECBAgQIAAAQIECBAgQIAAAQIECBDICPgS4IzeAWPjrUSv33tt89nPff7jUS+9+ML17am3fS1tjyA9xJjLoTrPR48eXfvduXPn+vdSr3PneZ3c6I9e8zzWM5a2y7Stc6o9Hm99do0ft/cS45A8qz3HHnN5zLXzDIF8/bX6jVhz5nPtFTHm5hi3R322vztj7jjaesb9Pmr56M+q9oh2CXMckufU+T4Vo1lOtcfjrc+c1SljtBxOOceutR7quStGPDY+2lpu0jPyWZpHZZ6n9Iw17cq1rXOqPR5vfXaNH7f3EqPleROeY4+WRzw2PnrwbDlEXrvy3NX+pGeMbf12xTikPfqeKkbL8ZRzHLvWJ01brqeyODbPGDc+es1z7Z6xB7tqo+3HVHs83vrsGj9uH8c41nMcI26Pj6V5HJLnOH7cXjpH9J2bJ9s+noNnrXd4+m+k3R873s6Bcf3F7fHR+rQab/X56isvj7u5fYRAxZcAb65mjmefvjvTQ/MSgTfuv3VVYfnOg3eXTLe3TzZGdnwkVxEjTOMnc1Tk0UOMihx4DpXEc7CIWxUe2Rjqs3ZPePLcFhjuZc/ViJSNoT6H/ejFsyKPbF1U5FARo6I+K/LgGYrD0YNHDzmESEWN9rKWbB7Z8TyHcyxu8az3yJo632v3hGd/ntsZ3d57Fa8n+wigI668GEKAAAECBAgQIECAAAECBAgQIECAAAECBHoX8BFAZ9yhkrdsnDHf3qeKj1WKw9uJanaKZ41ji8KzSdT85lnjKMppBNRnrStPnrUCtdHUZ62naPUCarTWlCfPWoHaaOqz1lO0WgH1WedZ8XqyCwB1+zEbqWLDZifRgQABAgQIECBAgAABAgQIECBAgAABAgQuXqDi9WQfAXTxZWABBAgQIECAAAECBAgQIECAAAECBAgQIEDgkwIuAHzS5CSPtLe+ZIO3b9POxMnGyI6P3CtihGnWtSKPHmJU5MBzOKt4DhZV52vWVH3W7glPntsCw73suRqRsjHU57AfvXhW5JGti4ocKmJU1GdFHjxDcTh68OghhxCpqNFe1pLNIzue53COxS2e9R5ZU+d77Z7w7M9zOyP3MgIuAGT0jCVAgAABAgQIECBAgAABAgQIECBAgAABAp0KuADQ6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIZARcAMjoGUuAAAECBAgQIECAAAECBAgQIECAAAECBDoVcAGg042RFgECBAgQIECAAAECBAgQIECAAAECBAgQyAh8SWawsQRuUuDVV16+yelXNzfP2i3lybNWQLSeBZzvtbvDk2etQG009VnrKVq9gBqtNeXJs1agNpr6rPUUrVZAfdZ6ZqM9dfX42BfkubvPbN7/8IN9XbQtFGC5EEo3AgQIECBAgAABAgQIECBAgAABAgQI3HKBiteTfQTQLS+iS17+/Tff3sSPo0aAZ41ji8KzSdT85lnjKMppBNRnrStPnrUCtdHUZ62naPUCarTWlCfPWoHaaOqz1lO0WgH1WeuZjeYCQFZw4fgo/IrjwcP30mGyMbLjYwEVMdIQRXlUrCUbIzu+wjJiVOTRQ4yKHCpMK/JYU4ys6Zossmup+MdYNoc1/Z2Rrc21WVTURta0Ioc1xch6VtQoz+1dyHpkx1fsaUWMiuejijwqYvSyJ7GW7NHLWrJ5ZMdnHdv4ijx6iFGRQzPJ/K7IY00xMpYxdk0W2bVUPCdlc1jbnmTr0/g6ARcA6ixFIkCAAAECBAgQIECAAAECBAgQIECAAAEC3Qj4DoAzbUV7B8CdO3c+nvGlF1+4vj11hXBpewTpIcZcDtV5Pnr06NqvmS71Onee10mO/ug1z2M9p/a1rXOqPR5vfda4J9Weh3jxHGrrlPXX6veUc1Tu+7guoj7b350xRxxtPeN+H7V89GdVe0S7hDkOyXPqfJ+K0Syn2uPx1mfO6pQxWg6nnGPXWg/13BUjHhsfbS036Rn5LM2jMs9TesaaduXa1jnVHo+3PrvGj9t7idHyvAnPsUfLIx4bHz14thwir1157mp/0jPGtn67YhzSHn1PFaPleMo5jl3rk6Yt11NZHJtnjBsfvea5ds/Yg1210fZjqj0eb312jR+3j2Mc6zmOEbfHx9I8DslzHD9uL50j+s7Nk20fz8Gz1js8/TfS7k8daefAuP7i9vhofVqNt/r0ZcBjpeNuV3wHwCa+BHjf8ezTd/c1a1so8Mb9t67iJ3u88+DdbIirbIzs+FhARYwK04o8eohRkQPP4dTiOVhUna9ZU/VZuyc8eW4LDPey52pEysZQn8N+9OJZkUe2LipyqIhRUZ8VefAMxeHowaOHHEKkokZ7WUs2j+x4nsM5Frd41ntkTZ3vtXvCsz/P7Yxu772K1+Z9BNBxF1+MIkCAAAECBAgQIECAAAECBAgQIECAAAECXQu4AND19kiOAAECBAgQIECAAAECBAgQIECAAAECBAgcJ+A7AI5zM6oDgfa9Cj5PrGYzeNY4tig8m0TNb541jqKcRkB91rry5FkrUBtNfdZ6ilYvoEZrTXnyrBWojaY+az1FqxVQn3WeFd8B4AJA3X6IRIAAAQIECBAgQIAAAQIECBAgQIAAAQIESgQqLgD4CKCSrZgPEle+2tWv+d7TPdq3aU/3mG/JxsiOjwwrYsyvdL5HRR49xKjIYV5rvkdFHj3EqMhhXmu+R0Uea4oxL7a/x5ossmupeE7K5hC7taYY+6tvvnVNFhVrmRfb36MihzXF2K+1rDXrkR0fWfYSY5nY/l7ZtWTH9+JZ8XzUy1p62ZP9lbestZe1ZPPIjl+mNd+rIo8eYlTkMK8136MijzXFmBfb32NNFtm1VDwnZXOI3VpTjP3Vp/WcAi4AnFPbXKUCFX85lyZ04cF41m4gT561AqL1LOB8r90dnjxrBWqjqc9aT9HqBdRorSlPnrUCtdHUZ62naLUC6rPWMxvNBYCsoPEECBAgQIAAAQIECBAgQIAAAQIECBAgQKBDARcAOtwUKREgQIAAAQIECBAgQIAAAQIECBAgQIAAgayACwBZQeMJECBAgAABAgQIECBAgAABAgQIECBAgECHAi4AdLgpUiJAgAABAgQIECBAgAABAgQIECBAgAABAlmBp64eH/uCPHf3mc37H36wr4s2AgQIECBAgAABAgQIECBAgAABAgQIECBAoFCg4rV57wAo3BChCBAgQIAAAQIECBAgQIAAAQIECBAgQIBALwIuAPSyE/I4WOD+m29v4sdRI8CzxrFF4dkkan7zrHEU5TQC6rPWlSfPWoHaaOqz1lO0egE1WmvKk2etQG009VnrKVqtgPqs9cxGcwEgK7hwfFXhP3j43sIZp7tlY2THR2YVMaZXuLylIo8eYlTksFxtumdFHj3EqMhhWml5S0Uea4qxXG53zzVZZNdS8ZyUzSF2aU0xdlfd8kfXZFGxluVyu3tW5LCmGLuVDns065EdH9n2EuMwud29s2vJju/Fs+L5qJe19LInuyvusEd7WUs2j+z4w9Sme1fk0UOMihymlZa3VOSxphjL5Xb3XJNFdi0Vz0nZHGKX1hRjd9V59CYEXAC4CXVzEiBAgAABAgQIECBAgAABAgQIECBAgACBEwv4EuATA7fwcSXx9XuvbT77uc+3hzYvvfjC9e2pq3tL2yNIDzHmcqjO89GjR9d+d+7cuf691OvceV4nN/qj1zyP9Yyl7TJt65xqj8dbn13jx+29xDgkz2rPscdcHnPtPEMgX3+tfiPWnPlce0WMuTnG7VGf7e/OmDuOtp5xv49aPvqzqj2iXcIch+Q5db5PxWiWU+3xeOszZ3XKGC2HU86xa62Heu6KEY+Nj7aWm/SMfJbmUZnnKT1jTbtybeucao/HW59d48ftvcRoed6E59ij5RGPjY8ePFsOkdeuPHe1P+kZY1u/XTEOaY++p4rRcjzlHMeu9UnTluupLI7NM8aNj17zXLtn7MGu2mj7MdUej7c+u8aP28cxjvUcx4jb42NpHofkOY4ft5fOEX3n5sm2j+fgWesdnv4bafenjrRzYFx/cXt8tD6txlt9vvrKy+Nubh8hUPElwJurmePZp+/O9NC8ROCN+29dVVi+8+DdJdPt7ZONkR0fyVXECNP4yRwVefQQoyIHnkMl8Rws4laFRzaG+qzdE548twWGe9lzNSJlY6jPYT968azII1sXFTlUxKioz4o8eIbicPTg0UMOIVJRo72sJZtHdjzP4RyLWzzrPbKmzvfaPeHZn+d2Rrf3XsXryT4C6IgrL4YQIECAAAECBAgQIECAAAECBAgQIECAAIHeBVwA6H2H5EeAAAECBAgQIECAAAECBAgQIECAAAECBI4Q8B0AR6AdO6TkM5uOndw4AgQIECBAgAABAgQIECBAgAABAgQIELgYgYrXk70D4GK2W6IECBAgQIAAAQIECBAgQIAAAQIECBAgQGC5gAsAy61SPe+/+XZqfBvcvk273T/mdzZGdnzkXBEjTLOuFXn0EKMiB57D2cRzsKg6X7Om6rN2T3jy3BYY7mXP1YiUjaE+h/3oxbMij2xdVORQEaOiPivy4BmKw9GDRw85hEhFjfaylmwe2fE8h3MsbvGs98iaOt9r94Rnf57bGbmXEXABIKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQ6FTABYBON0ZaBAgQIECAAAECBAgQIECAAAECBAgQIEAgI+ACQEbPWAIECBAgQIAAAQIECBAgQIAAAQIECBAg0KmACwCdboy0CBAgQIAAAQIECBAgQIAAAQIECBAgQIBARsAFgIyesQQIECBAgAABAgQIECBAgAABAgQIECBAoFOBp64eH/tye+7uM5v3P/xgXxdtCwVYLoTSjQABAgQIECBAgAABAgQIECBAgAABArdcoOL1ZO8AuOVFZPkECBAgQIAAAQIECBAgQIAAAQIECBAgsE4BFwDWua+3YlX333x7Ez+OGgGeNY4tCs8mUfObZ42jKKcRUJ+1rjx51grURlOftZ6i1Quo0VpTnjxrBWqjqc9aT9FqBdRnrWc2mgsAWcGF46PwK44HD99Lh8nGyI6PBVTESEMU5VGxlmyM7PgKy4hRkUcPMSpyqDCtyGNNMbKma7LIrqXiH2PZHNb0d0a2NtdmUVEbWdOKHNYUI+tZUaM8t3ch65EdX7GnFTEqno8q8qiI0cuexFqyRy9ryeaRHZ91bOMr8ughRkUOzSTzuyKPNcXIWMbYNVlk11LxnJTNYW17kq1P4+sEXACosxSJAAECBAgQIECAAAECBAgQIECAAAECBAh0I+BLgM+0FXEl8fV7r20++7nPfzzjSy++cH176grh0vYI0kOMuRzkeb3dm6X7eimeU/va1jnVHo+3PpeyVnkOe1axr5fiObXWVr9T7fF463OOtc7NMW5/9OjR5s6dO5Hix8fSXMdxPh78+MbS8TEmG2NufMUcp4zRrE45R8Ru8xzr1cb3nuchaz3W4pA5KrwuJc+ptaqdkBmO5nGOfT3HHLGyXfO0dR7SHs9HcYyfk1qcXXNE36Xt0fdUMVoOp5wjYrd55tZRkcc55pDnsKcVFqeM0WrvlHNE7DbPOervHHNUeMlzqItzeI69/TfS/PPmMXvSzvMY6zhOoOJLgDdXM8ezT9+d6aF5icAb99+6qrB858G7S6bb2ycbIzs+kquIEabxkzkq8ughRkUOPIdK4jlYxK0Kj2wM9Vm7Jzx5bgsM97LnakTKxlCfw3704lmRR7YuKnKoiFFRnxV58AzF4ejBo4ccQqSiRntZSzaP7HiewzkWt3jWe2RNne+1e8KzP8/tjG7vvYrXk30E0HEXX44a9el7nzlqnEEECBAgQIAAAQIECBAgQIAAAQIECBAgQOBQAR8BdKjYkf3jI4DiePWVl4+MYNiTAkyfFMnd55nze3I0zydFcvd55vyeHM3zSZHcfZ45vydH83xSJHefZ87vydE8nxTJ3eeZ89s1mukuleMf43m83a6RPHepHP8Yz+Ptdo3kuUvl+Md4Hm/35MiKjwByAeBJVfcJECBAgAABAgQIECBAgAABAgQIECBAgMANC1RcAPARQDe8iaYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQKnEHAB4BSqO2LGW1/a2192NC9+aPwN5YsHPdExGyM7PtKpiFFhWpFHDzEqcuA5nCg8B4uq8zVrqj5r94Qnz22B4V72XI1I2Rjqc9iPXjwr8sjWRUUOFTEq6rMiD56hOBw9ePSQQ4hU1Ggva8nmkR3PczjH4hbPeo+sqfO9dk949ue5nZF7GQEXADJ6xhIgQIAAAQIECBAgQIAAAQIECBAgQIAAgU4FXADodGOkRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEMgIuAGT0jCVAgAABAgQIECBAgAABAgQIECBAgAABAp0KuADQ6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIZASeunp87Avw3N1nNu9/+MG+LtoWCMSXicTx6isvL+ityxIBpkuUlvfhudxqSU+eS5SW9+G53GpJT55LlJb34bncaklPnkuUlvfhudxqSU+eS5SW9+G53GppT6ZLpZb147nMaWkvnkullvXjucxpaS+eS6WW9eO5zGlJr4rX5l0AWCKtDwECBAgQIECAAAECBAgQIECAAAECBAgQOKNAxQUAHwF0xg0zFQECBAgQIECAAAECBAgQIECAAAECBAgQOJeACwBnko63vrS3v2SmfPDwvczw67HZGNnxkURFjArTijx6iFGRA8/h1OI5WFSdr1lT9Vm7Jzx5bgsM97LnakTKxlCfw3704lmRR7YuKnKoiFFRnxV58AzF4ejBo4ccQqSiRntZSzaP7HiewzkWt3jWe2RNne+1e8KzP8/tjNzLCLgAkNEzlgABAgQIECBAgAABAgQIECBAgAABAgQIdCrgOwDOtDFxJfHJo30h8K626Lu0PfpmY0yNPySPqRhtHRV5VsS49Dx725Mpz97yVDvD3ykVFhUxLqV2Lj3P9nfwvnVUnq9T87Q8Tlk7lXOcMs9K79uU5ynXeim1cyl5qvEQGI62b/5+HP4tMmURaku9pmK08RFrrs+x7fIMgeFo5nOeMWKuT7a9Yo6KGFPriNhLvaZitPG3Kc9TrrXSU54hcBk13vZ96jz7aCV1a5map+UR8831ybZXzHFMjPEaY7zjcAHfAXC4mREECBAgQIAAAQIECBAgQIAAAQIECBAgQOB2CFzNHM8+fXemh+YlAm/cf+uqwvKdB+8umW5vn2yM7PhIriJGmMZP5qjIo4cYFTnwHCqJ52ARtyo8sjHUZ+2e8OS5LTDcy56rESkbQ30O+9GLZ0Ue2bqoyKEiRkV9VuTBMxSHowePHnIIkYoa7WUt2Tyy43kO51jc4lnvkTV1vtfuCc/+PLczur33Kl5P9h0At+M6j1USIECAAAECBAgQIECAAAECBAgQIECAwC0TcAHglm245RIgQIAAAQIECBAgQIAAAQIECBAgQIDA7RDwJcBn3OeKL204Y7qmIkCAAAECBAgQIECAAAECBAgQIECAAIEbEqh4Pdk7AG5o80xLgAABAgQIECBAgAABAgQIECBAgAABAgROKeACwCl1R7Hvv/n26N7xNx88fO/4wb86MhsjOz7SqIgRplnXijx6iFGRA8/h1OI5WFSdr1lT9Vm7Jzx5bgsM97LnakTKxlCfw3704lmRR7YuKnKoiFFRnxV58AzF4ejBo4ccQqSiRntZSzaP7HiewzkWt3jWe2RNne+1e8KzP8/tjNzLCLgAkNEzlgABAgQIECBAgAABAgQIECBAgAABAgQIdCrgAkCnGyMtAgQIECBAgAABAgQIECBAgAABAgQIECCQEXABIKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQ6FTABYBON0ZaBAgQIECAAAECBAgQIECAAAECBAgQIEAgI+ACQEbPWAIECBAgQIAAAQIECBAgQIAAAQIECBAg0KnAU1ePj325PXf3mc37H36wr4u2hQIsF0LpRoAAAQIECBAgQIAAAQIECBAgQIAAgVsuUPF6sncA3PIisnwCBAgQIECAAAECBAgQIECAAAECBAgQWKeACwBn2tf7b75dMtODh++l42RjZMfHAipihGnWtSKPHmJU5MBzOLV4DhZV52vWVH3W7glPntsCw73suRqRsjHU57AfvXhW5JGti4ocKmJU1GdFHjxDcTh68OghhxCpqNFe1pLNIzue53COxS2e9R5ZU+d77Z7w7M9zOyP3MgIuAGT0jCVAgAABAgQIECBAgAABAgQIECBAgAABAp0KuADQ6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIZAR8CXBG74Cx8Vai1++9tvns5z7/8aiXXnzh+vbU276WtkeQHmLM5SDP6+3eLN3XS/Gc2te2zqn2eLz1uZS1ynPYs4p9vRTPqbW2+p1qj8dbn3OsdW6OcfujR482d+7ciRQ/PpbmOo7z8eDHN5aOjzHZGHPjK+Y4ZYxmdco5Inab51ivNr73PA9Z67EWh8xR4XUpeU6tVe2EzHA0j3Ps6znmiJXtmqet85D2eD6KY/yc1OLsmiP6Lm2PvqeK0XI45RwRu80zt46KPM4xhzyHPa2wOGWMVnunnCNit3nOUX/nmKPCS55DXZzDc+ztv5HmnzeP2ZN2nsdYx3ECFV8CvLmaOZ59+u5MD81LBN64/9ZVheU7D95dMt3ePtkY2fGRXEWMMI2fzFGRRw8xKnLgOVQSz8EiblV4ZGOoz9o94clzW2C4lz1XI1I2hvoc9qMXz4o8snVRkUNFjIr6rMiDZygORw8ePeQQIhU12stasnlkx/MczrG4xbPeI2vqfK/dE579eW5ndHvvVbye7COAjrv4YhQBAgQIECBAgAABAgQIECBAgAABAgQIEOhawEcAdb09ktsnEB+rFMerr7y8r5u2hQI8F0It7MZzIdTCbjwXQul2IwLqs5adJ89agdpo6rPWU7R6ATVaa8qTZ61AbTT1WespWq2A+qzzrPgIIBcA6vZDJAIECBAgQIAAAQIECBAgQIAAAQIECBAgUCJQcQHARwCVbIUgBAgQIECAAAECBAgQIECAAAECBAgQIECgLwEXAM60H/HWl/b2l8yU428oPzZONkZ2fORdEaPCtCKPHmJU5MBzOKN4DhZV52vWVH3W7glPntsCw73suRqRsjHU57AfvXhW5JGti4ocKmJU1GdFHjxDcTh68OghhxCpqNFe1pLNIzue53COxS2e9R5ZU+d77Z7w7M9zOyP3MgIuAGT0jCVAgAABAgQIECBAgAABAgQIECBAgAABAp0KuADQ6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIZARcAMjoGUuAAAECBAgQIECAAAECBAgQIECAAAECBDoVcAGg042RFgECBAgQIECAAAECBAgQIECAAAECBAgQyAi4AJDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECHQq8NTV42Nfbs/dfWbz/ocf7OuijQABAgQIECBAgAABAgQIECBAgAABAgQIECgUqHht3jsACjdEqPMK3H/z7U38OGoEeNY4tig8m0TNb541jqKcRkB91rry5FkrUBtNfdZ6ilYvoEZrTXnyrBWojaY+az1FqxVQn7We2WguAGQFF46vKvwHD99bOON0t2yM7PjIrCLG9AqXt1Tk0UOMihyWq033rMijhxgVOUwrLW+pyGNNMZbL7e65JovsWiqek7I5xC6tKcbuqlv+6JosKtayXG53z4oc1hRjt9Jhj2Y9suMj215iHCa3u3d2LdnxvXhWPB/1spZe9mR3xR32aC9ryeaRHX+Y2nTvijx6iFGRw7TS8paKPNYUY7nc7p5rssiupeI5KZtD7NKaYuyuOo/ehIALADehbk4CBAgQIECAAAECBAgQIECAAAECBAgQIHBiARcATgwsPAECBAgQIECAAAECBAgQIECAAAECBAgQuAkBXwJ8JvV4K1Ecd+7c+XjGl1584fr21Nt7lrZHkB5izOVQneejR4+u/ZrpUq9z53md5OiPXvM81nNqX9s6p9rj8dZnjXtS7XmIF8+htk5Zf61+TzlH5b6P6yLqs/3dGXPE0dYz7vdRy0d/VrVHtEuY45A8p873qRjNcqo9Hm995qxOGaPlcMo5dq31UM9dMeKx8dHWcpOekc/SPCrzPKVnrGlXrm2dU+3xeOuza/y4vZcYLc+b8Bx7tDzisfHRg2fLIfLaleeu9ic9Y2zrtyvGIe3R91QxWo6nnOPYtT5p2nI9lcWxeca48dFrnmv3jD3YVRttP6ba4/HWZ9f4cfs4xrGe4xhxe3wszeOQPMfx4/bSOaLv3DzZ9vEcPGu9w9N/I+3+2PF2DozrL26Pj9an1Xirz1dfeXncze0jBCq+BHhzNXM8+/TdmR6alwi8cf+tq/jJHu88eDcb4iobIzs+FlARo8K0Io8eYlTkwHM4tXgOFlXna9ZUfdbuCU+e2wLDvey5GpGyMdTnsB+9eFbkka2LihwqYlTUZ0UePENxOHrw6CGHEKmo0V7Wks0jO57ncI7FLZ71HllT53vtnvDsz3M7o9t7r+K1eR8BdMSVF0MIECBAgAABAgQIECBAgAABAgQIECBAgEDvAj4C6Iw7VPKWjTPm2/tU7WOVvJ2oZqd41ji2KDybRM1vnjWOopxGQH3WuvLkWStQG0191nqKVi+gRmtNefKsFaiNpj5rPUWrFVCfdZ4Vrye7AFC3H7ORKjZsdhIdCBAgQIAAAQIECBAgQIAAAQIECBAgQODiBSpeT/YRQGcqg3bl60zTmYYAAQIECEwKxHOS56VJHg0ECBAgcCYBz0dngjYNAQIECMwKeE6aJdLhggVcALiwzWvfpp1JOxsjOz5yr4hR8ZdzRR49xKjIgedwVvEcLKrO16yp+qzfk+2Ih9/L7mkvtVWRh/rcrp9sbfDsz7PiPMnWRUUOFTEq6rMij7V4hkXF0YNHDzmEZUWN9rKWbB7Z8Ty3z06e9R5ZU+d7/Z5sRzz8XnZPY8a1xKioz8N3wIgpARcApmQ8ToAAAQIECBAgQIAAAQIECBAgQIAAAQIELljABYAL3jypEyBAgAABAgQIECBAgAABAgQIECBAgACBKQEXAKZkPE6AAAECBAgQIECAAAECBAgQIECAAAECBC5YwAWAC948qRMgQIAAAQIECBAgQIAAAQIECBAgQIAAgSmBp64eH1ON8fhzd5/ZvP/hB/u6aFsgEF9+8fq911gusNKFAAECBE4rEM9Jcbz6ysunnUh0AgQIECCwR8Dz0R4cTQQIECBwVgHPSWflNtkBAhWvzbsAcAB4tmvFhmVzMJ4AAQIECBAgQIAAAQIECBAgQIAAAQIE+heoeD3ZRwD1v88ynBCIq7PtCu1EFw8fIMDzAKwFXXkuQDqgC88DsHQ9u4D6rCXnybNWoDaa+qz1FK1eQI3WmvLkWStQG0191nqKViugPms9s9FcAMgKLhwfhV9xPHj4XjpMNkZ2fCygIkYaoiiPirVkY2THV1hGjIo8eohRkUOFaUUea4qRNV2TRXYtFf8Yy+awpr8zsrW5NouK2siaVuSwphhZz4oa5bm9C1mP7PiKPa2IUfF8VJFHRYxe9iTWkj16WUs2j+z4rGMbX5FHDzEqcmgmmd8VeawpRsYyxq7JIruWiuekbA5r25NsfRpfJ+ACQJ2lSAQIECBAgAABAgQIECBAgAABAgQIECBAoBsB3wFwpq2IK4nxJcCf/dznP57xpRdfuL49dYVwaXsE6SHGXA7VeT569Oja786dO9e/l3qdO8/r5EZ/9JrnsZ6xtF2mbZ1T7fF467Nr/Li9lxiH5FntOfaYy2OunWcI5Ouv1W/EmjOfa6+IMTfHuD3qs/3dGXPH0dYz7vdRy0d/VrVHtEuY45A8p873qRjNcqo9Hm995qxOGaPlcMo5dq31UM9dMeKx8dHWcpOekc/SPCrzPKVnrGlXrm2dU+3xeOuza/y4vZcYLc+b8Bx7tDzisfHRg2fLIfLaleeu9ic9Y2zrtyvGIe3R91QxWo6nnOPYtT5p2nI9lcWxeca48dFrnmv3jD3YVRttP6ba4/HWZ9f4cfs4xrGe4xhxe3wszeOQPMfx4/bSOaLv3DzZ9vEcPGu9w9N/I+3+1JF2DozrL26Pj9an1Xirz1dfeXncze0jBCq+A2BzNXM8+/TdmR6alwi8cf+tqwrLdx68u2S6vX2yMbLjI7mKGGEaP5mjIo8eYlTkwHOoJJ6DRdyq8MjGUJ+1e8KT57bAcC97rkakbAz1OexHL54VeWTroiKHihgV9VmRB89QHI4ePHrIIUQqarSXtWTzyI7nOZxjcYtnvUfW1Pleuyc8+/Pczuj23qt4PdlHAB1x5cUQAgQIECBAgAABAgQIECBAgAABAgQIECDQu4ALAL3vkPwIECBAgAABAgQIECBAgAABAgQIECBAgMARAr4D4Ai0Y4eUfGbTsZOvcFx8r0IcPk+sZnN51ji2KDybRM1vnjWOopxGQH3WuvLkWStQG0191nqKVi+gRmtNefKsFaiNpj5rPUWrFVCfdZ4Vrye7AFC3H7ORKjZsdhIdCBAgQIAAAQIECBAgQIAAAQIECBAgQODiBSpeT/YRQGcqg7jy9el7n0nP1r5NOxMoGyM7PnKviBGm7YrisR4VefQQoyIHnkMV8Rws4laFRzaG+qzdE548twWGe9lzNSJlY6jPYT968azII1sXFTlUxKioz4o8eIbicPTg0UMOIVJRo72sJZtHdjzP4RyLWzzrPbKmzvfaPeHZn+d2Ru5lBFwAyOgZS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEOhVwAaDTjZEWAQIECBAgQIAAAQIECBAgQIAAAQIECBDICLgAkNEzlgABAgQIECBAgAABAgQIECBAgAABAgQIdCrgAkCnGyMtAgQIECBAgAABAgQIECBAgAABAgQIECCQEXABIKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQ6FTgqavHx77cnrv7zOb9Dz/Y10UbAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUChQ8dq8dwAUbohQBAgQIECAAAECBAgQIECAAAECBAgQIECgFwEXAHrZCXkcLHD/zbc38eOoEeBZ49ii8GwSNb951jiKchoB9VnrypNnrUBtNPVZ6ylavYAarTXlybNWoDaa+qz1FK1WQH3WemajuQCQFVw4vqrwHzx8b+GM092yMbLjI7OKGNMrXN5SkUcPMSpyWK423bMijx5iVOQwrbS8pSKPNcVYLre755ossmupeE7K5hC7tKYYu6tu+aNrsqhYy3K53T0rclhTjN1Khz2a9ciOj2x7iXGY3O7e2bVkx/fiWfF81MtaetmT3RV32KO9rCWbR3b8YWrTvSvy6CFGRQ7TSstbKvJYU4zlcrt7rskiu5aK56RsDrFLa4qxu+o8ehMCLgDchLo5CRAgQIAAAQIECBAgQIAAAQIECBAgQIDAiQV8CfCJgVv4uJIYx507d9pDm5defOH69tTVvaXtEaSHGHM5yPN6u1e371P72up3qj0eb33UzmBR4cWz1nNqT1r9TrXH463POfZkbo5x+6NHj7aejw7JdRwnxrWjp7VGTj3kOZVHs5pqj8dbn7l1nDJGy+GUc5x7rTfpechaLyXPqdpQOyEzHM3jHPt6jjliZbvmaes8pD2ej+K4tP9GmltrrKn12WU1bo/bc33m2itinGMOeQ51UWFxyhitfk85R8Ru85yj/s4xR4WXPIe6OIfn2Nt/I80/Hx2zJ+08j7GO4wQqvgR4czVzPPv03ZkempcIvHH/rav4yR7vPHg3G+IqGyM7PhZQEaPCtCKPHmJU5MBzOLV4DhZV52vWVH3W7glPntsCw73suRqRsjHU57AfvXhW5JGti4ocKmJU1GdFHjxDcTh68OghhxCpqNFe1pLNIzue53COxS2e9R5ZU+d77Z7w7M9zO6Pbe6/itXkfAXTcxRejCBAgQIAAAQIECBAgQIAAAQIECBAgQIBA1wIuAHS9PZIjQIAAAQIECBAgQIAAAQIECBAgQIAAAQLHCfgOgOPcjCJAgAABAgQIECBAgAABAgQIECBAgAABAicTqPgOAO8AONn2CEyAAAECBAgQIECAAAECBAgQIECAAAECBG5OwAWAM9nff/PtTVyxyR7jbyg/NlY2RnZ85F0RI0zjJ3NU5NFDjIoceA6VxHOwiFsVHtkY6rN2T3jy3BYY7mXP1YiUjaE+h/3oxbMij2xdVORQEaOiPivy4BmKw9GDRw85hEhFjfaylmwe2fE8h3MsbvGs98iaOt9r94Rnf57bGbmXEXABIKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQ6FTABYBON0ZaBAgQIECAAAECBAgQIECAAAECBAgQIEAgI+ACQEbPWAIECBAgQIAAAQIECBAgQIAAAQIECBAg0KmACwCdboy0CBAgQIAAAQIECBAgQIAAAQIECBAgQIBARsAFgIyesQQIECBAgAABAgQIECBAgAABAgQIECBAoFOBp64eH/tye+7uM5v3P/xgXxdtCwVYLoTSjQABAgQIECBAgAABAgQIECBAgAABArdcoOL1ZO8AuOVFZPkECBAgQIAAAQIECBAgQIAAAQIECBAgsE4BFwAubF8fPHwvnXE2RnZ8LKAixv03397ET+aoyKOHGBU58BwqiedgEbcqPLIx1Gf9nmxHPPxedk9jxrXEUJ/b9ZPdV579eVacr9m6qMihIkZFfVbksRbPsKg4evDoIYewrKjRXtaSzSM7nuf22cmz3iNr6nyv35PtiIffy+5pzLiWjHLPZgAAQABJREFUGBX1efgOGDEl4ALAlEzx41H4DgIECBAg0IOAf4z1sAtyIECAAAHPR2qAAAECBHoR8JzUy07I4xQCLgCcQlVMAgQIECBAgAABAgQIECBAgAABAgQIECBwwwK+BPhMGxBXEl+/99rm0/c+8/GMr77y8vXtaNt1LG2PsdkYU+Mj9tI8pmK08RV5VsS49Dx725Mpz97yVDvDuVxhURHjUmpnLXnuW0c7X/f1aX+XT/VZ2n7K2mk5VMxREWPKqnlXzFER41LyPOVaL6V2LiVPNR4Cw9H2bepca+0xYq5Ptr1ijkyMGBvrnVpHa8/McQ5PeYbAcDTzqX1t7TFirk+2vWKOihhT64jYzWOqz9L225TnKdfavCvmqIgxVxcVc1TEmMozYjfTqT5L28+R51SOMXcckeu+PkvXMhWjjY+55vpk2yvmOCbGeI0x3nG4gC8BPtzs4kfcuXMnvYZsjOz4WEBFjDREUR4Va8nGyI6vsIwYFXn0EKMihwrTijzWFCNruiaLirXwHAR41lrwXJ9nrCi7r9nxFTlUxYg42SPrkR0f+fcSI2vZy1p4bu9kDx4VOWyv6rh7FXn0EKMih+MEt0dV5LGmGNs6h99bk0XFWg4X3B5RkcOaYmzruHejAlczx7NP353poXmJwBv337qqsHznwbtLptvbJxsjOz6Sq4gRpvGTOSry6CFGRQ48h0riOVjErQqPbAz1WbsnPHluCwz3sudqRMrGUJ/DfvTiWZFHti4qcqiIUVGfFXnwDMXh6MGjhxxCpKJGe1lLNo/seJ7DORa3eNZ7ZE2d77V7wrM/z+2Mbu+9iteTfQfAjV5+MTkBAgQIECBAgAABAgQIECBAgAABAgQIEDiNgO8AOI3rzqgVn9m0M7AHCRAgQIAAAQIECBAgQIAAAQIECBAgQGBVAhWvJ3sHwKpKwmIIECBAgAABAgQIECBAgAABAgQIECBAgMBHAi4AnKkSpr6t+0zTr3KaMOVat7U86ywjEk+etQK10dQnz1qB2mjqk2etQG009cmzVqA+mhqtNeXJs1agNpr65FkrUBtNfdZ6ZqO5AJAVPGD8p+995oDeu7s+ePje7oYDHs3GyI6PVCtiHLDkya4VefQQoyKHSaQDGiry6CFGRQ4HsE12rchjTTEmoRY2rMmiYi0L2Sa7VeSwphiTUAsb1mRRsZaFbJPdKnJYU4xJqAMash7Z8ZFqLzEOYJvsml1LdjzPT25N1jQ7vmpPPrmywx/pZS3ZPLLjD5fbPaIijx5iVOSwW+iwRyvyWFOMw/Q+2XtNFhVr+aTQYY9U5LCmGIfp6X1KARcATqkrNgECBAgQIECAAAECBAgQIECAAAECBAgQuCEBFwBuCN60BAgQIECAAAECBAgQIECAAAECBAgQIEDglAIuAJxSV2wCBAgQIECAAAECBAgQIECAAAECBAgQIHBDAi4A3BC8aQkQIECAAAECBAgQIECAAAECBAgQIECAwCkFnrp6fOyb4Lm7z2ze//CDfV20ESBAgAABAgQIECBAgAABAgQIECBAgAABAoUCFa/NewdA4YYIRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEehFwAeBMO3H/zbc38eOoE2BaZxmRePKsFaiNpj551grURlOfPGsFaqOpz/+fvTvKcaRY2gbcSP8S5p4BVoMES0CCfRwh9IkFnIujc8kg2AGDYDUIFjB76H+iUU7ZHFe77HjtznY/JTVTdmZGRj4ZNWa6ZJtnViAbTX1mPSsa06wpT55ZgWw09ckzK5CNpj6znt1obgB0Ba88/u2vv7dn7Mbojq8FJGK0IUJ5JNbSjdEdn7CsGIk8ZoiRyCFhmsjjlmJ0TW/JIrEWnosAz6wFz9vzrBV197U7PpFDKkbF6R5dj+74yn+WGF3LWdbCc38nZ/BI5LC/qvMeJfKYIUYih/ME90cl8rilGPs6pz+6JYvEWk4X3B+RyOGWYuzrePSUAm4APKW+uQkQIECAAAECBAgQIECAAAECBAgQIECAwIUEfAnwhWD/Gbbe+lLHq1evPjR9+cXnD+drd/e2tleQGWIcy0GeD9t9t3Vfn4vn2r6Oda611/Ojz3NZqzyXPUvs63PxXFvrqN+19np+9LnGWo/Nsdv+7t27vdejU3LdjVPjxjHTWiunGfJcy2NYrbXX86PPsXVcMsbI4ZJzXHutT+l5ylqfS55rtaF2SmY5hsc19vUac9TKDs0z1nlKe70e1fHc/o10bK21ptHnkNVue50f63OsPRHjGnPIc6mLhMUlY4z6veQcFXvMc436u8YcCS95LnVxDc9db/9GOv56dM6ejOu8xjrOE0h8CfDd/ZHj049fH+mheYvAD29+uq+f7vHL29+6Ie67MbrjawGJGAnTRB4zxEjkwHO5tHguFqnrtWuqPrN7wpPnvsDyqHutVqRuDPW57Mcsnok8unWRyCERI1GfiTx4luJyzOAxQw4lkqjRWdbSzaM7nudyjdUZz7xH19T1nt0TnvN57mf0ch8lfjfvI4DOu/liFAECBAgQIECAAAECBAgQIECAAAECBAgQmFrARwBNvT2Se0xgfKzSN19/9Vg3bRsFeG6E2tiN50aojd14boTS7UkE1GeWnSfPrEA2mvrMeoqWF1CjWVOePLMC2WjqM+spWlZAfeY8Ex8B5AZAbj9EIkCAAAECBAgQIECAAAECBAgQIECAAAECEYHEDQAfARTZCkEIECBAgAABAgQIECBAgAABAgQIECBAgMBcAm4AXGk/6q0v4+0vnSl3v6H83DjdGN3xlXciRsI0kccMMRI58FyuKJ6LRep67Zqqz+ye8OS5L7A86l6rFakbQ30u+zGLZyKPbl0kckjESNRnIg+epbgcM3jMkEOJJGp0lrV08+iO57lcY3XGM+/RNXW9Z/eE53ye+xl51BFwA6Cjd+LY77/79sQRuhMgQIAAAQIECBAgQIAAAQIECBAgQIAAgfME3AA4z80oAgQIECBAgAABAgQIECBAgAABAgQIECAwtYAbAFNvj+QIECBAgAABAgQIECBAgAABAgQIECBAgMB5Am4AnOdmFAECBAgQIECAAAECBAgQIECAAAECBAgQmFrADYCpt0dyBAgQIECAAAECBAgQIECAAAECBAgQIEDgPIGP7t8fjw397PUnd3/89edjXbRtFGC5EUo3AgQIECBAgAABAgQIECBAgAABAgQIvHCBxO+TvQPghReR5RMgQIAAAQIECBAgQIAAAQIECBAgQIDAbQq4AXClfX3z48+Rmd7++ns7TjdGd3wtIBGjTLuuiTxmiJHIgedyafFcLFLXa9dUfWb3hCfPfYHlUfdarUjdGOpz2Y9ZPBN5dOsikUMiRqI+E3nwLMXlmMFjhhxKJFGjs6ylm0d3PM/lGqsznnmPrqnrPbsnPOfz3M/Io46AGwAdPWMJECBAgAABAgQIECBAgAABAgQIECBAgMCkAm4ATLox0iJAgAABAgQIECBAgAABAgQIECBAgAABAh0BXwLc0TthbL2V6Pvvvr3793/++2HUl198/nC+9ravre0VZIYYx3JI5/nu3bsHv1evXj38udXr2nk+JLfzn1nzPNezlnbIdKxzrb2eH30Ojd9tnyXGKXmmPXc9juVxrJ1nCfTrb9RvxTpmfqw9EePYHLvtVZ/j786au46xnt1+f7f8/d9Ue0V7DnOckufa9b4WY1iutdfzo88xq0vGGDlcco5Daz3V81CMem73GGt5Ss/KZ2seyTwv6VlrOpTrWOdaez0/+hwav9s+S4yR51N47nqMPOq53WMGz5FD5XUoz0Pt//SssaPfoRintFffS8UYOV5yjnPX+k/TkeulLM7Ns8btHrPmeeuetQeHamPsx1p7PT/6HBq/274b41zP3Rh1vntszeOUPHfj1/nWOarvsXm67btz8Mx6l6d/Ix3+2PFxDezWX53vHqPPqPFRn998/dVuN+dnCCS+BPju/sjx6cevj/TQvEXghzc/3Scsf3n725bpHu3TjdEdX8klYpRp/XSORB4zxEjkwHOpJJ6LRZ0lPLox1Gd2T3jy3BdYHnWv1YrUjaE+l/2YxTORR7cuEjkkYiTqM5EHz1Jcjhk8ZsihRBI1Ostaunl0x/NcrrE645n36Jq63rN7wnM+z/2MXu6jxO+TfQTQGXdeDCFAgAABAgQIECBAgAABAgQIECBAgAABArML+AigK+5Q5C0bV8x39qnqY5Xq8HaizE7xzDiOKDyHROZPnhlHUS4joD6zrjx5ZgWy0dRn1lO0vIAazZry5JkVyEZTn1lP0bIC6jPnmfh9shsAuf04GimxYUcn0YEAAQIECBAgQIAAAQIECBAgQIAAAQIEnr1A4vfJPgLo2ZeBBRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgf8VcAPgf00u8sx460s3+Pg27U6cbozu+Mo9EaNMu66JPGaIkciB53JV8VwsUtdr11R9ZveEJ899geVR91qtSN0Y6nPZj1k8E3l06yKRQyJGoj4TefAsxeWYwWOGHEokUaOzrKWbR3c8z+UaqzOeeY+uqes9uyc85/Pcz8ijjoAbAB09YwkQIECAAAECBAgQIECAAAECBAgQIECAwKQCbgBMujHSIkCAAAECBAgQIECAAAECBAgQIECAAAECHQE3ADp6J47913f/d+II3QkQIECAAAECBAgQIECAAAECBAgQIECAwHkCbgCc52YUAQIECBAgQIAAAQIECBAgQIAAAQIECBCYWuD/TZ2d5Ag8IvDN11890qrpVAGep4o93p/n4z6ntvI8VUz/awqoz6w2T55ZgWw09Zn1FC0voEazpjx5ZgWy0dRn1lO0rID6zHp2o310//54LMhnrz+5++OvPx/roo0AAQIECBAgQIAAAQIECBAgQIAAAQIECBAICiR+N+8jgIIbItR1Bd78+PNd/TgyAjwzjiMKzyGR+ZNnxlGUywioz6wrT55ZgWw09Zn1FC0voEazpjx5ZgWy0dRn1lO0rID6zHp2o7kB0BXcOD5V+G9//X3jjOvdujG64yuzRIz1FW5vSeQxQ4xEDtvV1nsm8pghRiKHdaXtLYk8binGdrnDPW/JoruWxGtSN4fapVuKcbjqtj97SxaJtWyXO9wzkcMtxTisdNqzXY/u+Mp2lhinyR3u3V1Ld/wsnonXo1nWMsueHK64056dZS3dPLrjT1Nb753IY4YYiRzWlba3JPK4pRjb5Q73vCWL7loSr0ndHGqXbinG4arz7FMIuAHwFOrmJECAAAECBAgQIECAAAECBAgQIECAAAECFxZwA+DCwMITIECAAAECBAgQIECAAAECBAgQIECAAIGnEPAlwFdSr7cS1fHq1asPM375xecP52tv79naXkFmiHEsh3Se7969e/Abplu9rp3nQ5I7/5k1z3M91/Z1rHOtvZ4ffW5xT9Kep3jxXGrrkvU36veScyT3fbcuqj7H3501Rx1jPbv9/m75+7+p9or2HOY4Jc+1630txrBca6/nR59jVpeMMXK45ByH1nqq56EY9dzuMdbylJ6Vz9Y8knle0rPWdCjXsc619np+9Dk0frd9lhgjz6fw3PUYedRzu8cMniOHyutQnofa/+lZY0e/QzFOaa++l4oxcrzkHOeu9Z+mI9dLWZybZ43bPWbN89Y9aw8O1cbYj7X2en70OTR+t303xrmeuzHqfPfYmscpee7Gr/Otc1TfY/N023fn4Jn1Lk//Rjr8sePjGtitvzrfPUafUeOjPr/5+qvdbs7PEEh8CfDd/ZHj049fH+mheYvAD29+uq+f7vHL29+6Ie67MbrjawGJGAnTRB4zxEjkwHO5tHguFqnrtWuqPrN7wpPnvsDyqHutVqRuDPW57Mcsnok8unWRyCERI1GfiTx4luJyzOAxQw4lkqjRWdbSzaM7nudyjdUZz7xH19T1nt0TnvN57mf0ch8lfjfvI4DOuPNiCAECBAgQIECAAAECBAgQIECAAAECBAgQmF3ARwDNvkPyWxUYH6vk7USrRCc18DyJ62hnnkeJTurA8yQuna8soD6z4Dx5ZgWy0dRn1lO0vIAazZry5JkVyEZTn1lP0bIC6jPnmfgIIDcAcvshEgECBAgQIECAAAECBAgQIECAAAECBAgQiAgkbgD4CKDIVhwPUne+xt2v473Xe4wv01jvcbylG6M7vjJMxDi+0uM9EnnMECORw3Gt4z0SecwQI5HDca3jPRJ53FKM42KP97gli+5aEq9J3Rxqt24pxuPVd7z1liwSazku9niPRA63FONxrW2tXY/u+MpylhjbxB7v1V1Ld/wsnonXo1nWMsuePF5521pnWUs3j+74bVrHeyXymCFGIofjWsd7JPK4pRjHxR7vcUsW3bUkXpO6OdRu3VKMx6tP6zUF3AC4pra5ogKJv5yjCT3zYDyzG8iTZ1ZAtJkFXO/Z3eHJMyuQjaY+s56i5QXUaNaUJ8+sQDaa+sx6ipYVUJ9Zz240NwC6gsYTIECAAAECBAgQIECAAAECBAgQIECAAIEJBdwAmHBTpESAAAECBAgQIECAAAECBAgQIECAAAECBLoCbgB0BU8Y//13357QW1cCBAgQIECAAAECBAgQIECAAAECBAgQIHC+gBsA59sZSYAAAQIECBAgQIAAAQIECBAgQIAAAQIEphX46P798Vh2n73+5O6Pv/58rIu2jQIsN0LpRoAAAQIECBAgQIAAAQIECBAgQIAAgRcukPh9sncAvPAisnwCBAgQIECAAAECBAgQIECAAAECBAgQuE0BNwBuc19fxKre/PjzXf04MgI8M44jCs8hkfmTZ8ZRlMsIqM+sK0+eWYFsNPWZ9RQtL6BGs6Y8eWYFstHUZ9ZTtKyA+sx6dqO5AdAV3Di+Cj9xvP3193aYbozu+FpAIkYbIpRHYi3dGN3xCcuKkchjhhiJHBKmiTxuKUbX9JYsumtJ/M9YN4db+jujW5u3ZpGoja5pIodbitH1TNQoz/1d6Hp0xyf2NBEj8XqUyCMRY5Y9qbV0j1nW0s2jO77rOMYn8pghRiKHYdL5M5HHLcXoWNbYW7LoriXxmtTN4db2pFufxucE3ADIWYpEgAABAgQIECBAgAABAgQIECBAgAABAgSmEfAlwFfairqT+P133979+z///TDjl198/nC+dodwa3sFmSHGsRzSeb579+7B79WrVw9/bvW6dp4Pye38Z9Y8z/WspR0yHetca6/nR59D43fbZ4lxSp5pz12PY3kca+dZAv36G/VbsY6ZH2tPxDg2x2571ef4u7PmrmOsZ7ff3y1//zfVXtGewxyn5Ll2va/FGJZr7fX86HPM6pIxRg6XnOPQWk/1PBSjnts9xlqe0rPy2ZpHMs9LetaaDuU61rnWXs+PPofG77bPEmPk+RSeux4jj3pu95jBc+RQeR3K81D7Pz1r7Oh3KMYp7dX3UjFGjpec49y1/tN05Hopi3PzrHG7x6x53rpn7cGh2hj7sdZez48+h8bvtu/GONdzN0ad7x5b8zglz934db51jup7bJ5u++4cPLPe5enfSIc/dWRcA7v1V+e7x+gzanzU5zdff7XbzfkZAokvAb67P3J8+vHrIz00bxH44c1P9wnLX97+tmW6R/t0Y3THV3KJGGVaP50jkccMMRI58FwqiediUWcJj24M9ZndE5489wWWR91rtSJ1Y6jPZT9m8Uzk0a2LRA6JGIn6TOTBsxSXYwaPGXIokUSNzrKWbh7d8TyXa6zOeOY9uqau9+ye8JzPcz+jl/so8ftkHwF0xp0XQwgQIECAAAECBAgQIECAAAECBAgQIECAwOwCbgDMvkPyI0CAAAECBAgQIECAAAECBAgQIECAAAECZwj4DoAz0M4dEvnMpnMnN44AAQIECBAgQIAAAQIECBAgQIAAAQIEno1A4vfJ3gHwbLZbogQIECBAgAABAgQIECBAgAABAgQIECBAYLuAGwDbrVo93/z4c2v8GDy+TXs8PufPbozu+Mo5EaNMu66JPGaIkciB53I18VwsUtdr11R9ZveEJ899geVR91qtSN0Y6nPZj1k8E3l06yKRQyJGoj4TefAsxeWYwWOGHEokUaOzrKWbR3c8z+UaqzOeeY+uqes9uyc85/Pcz8ijjoAbAB09YwkQIECAAAECBAgQIECAAAECBAgQIECAwKQCbgBMujHSIkCAAAECBAgQIECAAAECBAgQIECAAAECHQE3ADp6xhIgQIAAAQIECBAgQIAAAQIECBAgQIAAgUkF3ACYdGOkRYAAAQIECBAgQIAAAQIECBAgQIAAAQIEOgJuAHT0jCVAgAABAgQIECBAgAABAgQIECBAgAABApMKfHT//ngst89ef3L3x19/PtZFGwECBAgQIECAAAECBAgQIECAAAECBAgQIBAUSPxu3jsAghsiFAECBAgQIECAAAECBAgQIECAAAECBAgQmEXADYBZdmJjHm9//X1jz/Vu3Rjd8ZVZIsabH3++q5/OkchjhhiJHHgulcRzsaizhEc3hvrM78l+xNMfdfe0ZryVGOpzv366+8pzPs/E9dqti0QOiRiJ+kzkcSueZZE4ZvCYIYeyTNToLGvp5tEdz3P/6uSZ9+iaut7ze7If8fRH3T2tGW8lRqI+T98BI9YE3ABYkwk/r/DDoMIRIECAwNkCXpPOpjOQAAECBIICXo+CmEIRIECAQEvAa1KLz+DJBdwAmHyDpEeAAAECBAgQIECAAAECBAgQIECAAAECBM4R8CXA56idMabuJP7z+Obrrx6eOtRWDVvbq283xtr4U/JYizHWkcgzEeO55znbnqx5zpan2ln+TklYJGI8l9p57nmOv4MfW0fyel2bZ+RxydpJznHJPJPeLynPS671udTOc8lTjZfAcox98/fj8v8iaxalttVrLcYYX7GO9Tm3XZ4lsBzD/JhnjTjWp9uemCMRY20dFXur11qMMf4l5XnJtSY95VkCz6PGx76vXWd/ryS3lrV5Rh4137E+3fbEHOfE2F1jjXecLuBLgE83M4IAAQIECBAgQIAAAQIECBAgQIAAAQIECLwMgfsjx6cfvz7SQ/MWgR/e/HRfP93jl7e/dUPcd2N0x9cCEjESpok8ZoiRyIHncmnxXCxS12vXVH1m94Qnz32B5VH3Wq1I3Rjqc9mPWTwTeXTrIpFDIkaiPhN58CzF5ZjBY4YcSiRRo7OspZtHdzzP5RqrM555j66p6z27Jzzn89zP6OU+Svxu3ncAvIz7PFZJgAABAgQIECBAgAABAgQIECBAgAABAi9MwHcAvLANt1wCBAgQIECAAAECBAgQIECAAAECBAgQmF/AdwDMv0cyJECAAAECBAgQIECAAAECBAgQIECAAAECTyLgI4CuxF7f1r32jd1XSuHmpmGa3VKePLMC2Wjqk2dWIBtNffLMCmSjqU+eWYFsNPWZ9axoTLOmPHlmBbLR1CfPrEA2mvrMenajuQHQFbzy+Le//t6esRujO74WkIjRhgjlkVhLN0Z3fMKyYiTymCFGIoeEaSKPW4rRNb0li8RaeC4CPLMWPG/Ps1bU3dfu+EQOqRgVp3t0PbrjK/9ZYnQtZ1kLz/2dnMEjkcP+qs57lMhjhhiJHM4T3B+VyOOWYuzrnP7oliwSazldcH9EIodbirGv49FTCrgB8JT65iZAgAABAgQIECBAgAABAgQIECBAgAABAhcScAPgQrDCEiBAgAABAgQIECBAgAABAgQIECBAgACBpxRwA+Ap9c1NgAABAgQIECBAgAABAgQIECBAgAABAgQuJOAGwIVgD4X9/rtvDz3tOQIECBAgQIAAAQIECBAgQIAAAQIECBAgEBf46P798VjUz15/cvfHX38+1kXbRgGWG6F0I0CAAAECBAgQIECAAAECBAgQIECAwAsXSPw+2TsAXngRWT4BAgQIECBAgAABAgQIECBAgAABAgQI3KaAGwBX2tc3P/58pZlezjRlyjW33zxzlhWJJ8+sQDaa+uSZFchGU588swLZaOqTZ1YgH02NZk158swKZKOpT55ZgWw09Zn17EZzA6AreOXxb3/9vT1jN0Z3fC0gEaMNEcojsZZujO74hGXFSOQxQ4xEDgnTRB63FKNreksWibXwXAR4Zi143p5nrai7r93xiRxSMSpO9+h6dMdX/rPE6FrOshae+zs5g0cih/1VnfcokccMMRI5nCe4PyqRxy3F2Nc5/dEtWSTWcrrg/ohEDrcUY1/Ho6cUcAPgKfXNTYAAAQIECBAgQIAAAQIECBAgQIAAAQIELiTgS4AvBPvPsPXWl++/+/bu3//574emL7/4/OF87e7e1vYKMkOMYznI82G777bu63PxXNvXsc619np+9Hkua5XnsmeJfX0unmtrHfW71l7Pjz7XWOuxOXbb3717d/fq1atK8cOxNdfdOB8Gvz/ZOr7GdGMcG5+Y45IxhtUl56jYY55zvcb42fM8Za3nWpwyR8LrueS5tla1UzLLMTyusa/XmKNWdmiesc5T2uv1qI7d16QR59Ac1Xdre/W9VIyRwyXnqNhjnmPrSORxjTnkuexpwuKSMUbtXXKOij3muUb9XWOOhJc8l7q4hueut38jHX/dPGdPxnVeYx3nCSS+BPju/sjx6cevj/TQvEXghzc/3Scsf3n725bpHu3TjdEdX8klYpRp/XSORB4zxEjkwHOpJJ6LRZ0lPLox1Gd2T3jy3BdYHnWv1YrUjaE+l/2YxTORR7cuEjkkYiTqM5EHz1Jcjhk8ZsihRBI1Ostaunl0x/NcrrE645n36Jq63rN7wnM+z/2MXu6jxO+TfQTQeTdfjCJAgAABAgQIECBAgAABAgQIECBAgAABAlML+AigK23P+AigP/7680oz3v40ZVrHN19/dfuLvcIKeWaRefLMCmSjqU+eWYFsNPXJMyuQjaY+eWYF8tHUaNaUJ8+sQDaa+uSZFchGU585z8RHALkBkNuPo5ESG3Z0Eh0IECBAgAABAgQIECBAgAABAgQIECBA4NkLJH6f7COAnn0ZWAABAgQIECBAgAABAgQIECBAgAABAgQIEPhfATcA/tfkIs+Mt750g+9+Q/m5sboxuuMr70SMMu26JvKYIUYiB57LFcVzsUhdr11T9ZndE5489wWWR91rtSJ1Y6jPZT9m8Uzk0a2LRA6JGIn6TOTBsxSXYwaPGXIokUSNzrKWbh7d8TyXa6zOeOY9uqau9+ye8JzPcz8jjzoCbgB09IwlQIAAAQIECBAgQIAAAQIECBAgQIAAAQKTCrgBMOnGSIsAAQIECBAgQIAAAQIECBAgQIAAAQIECHQE3ADo6BlLgAABAgQIECBAgAABAgQIECBAgAABAgQmFXADYNKNkRYBAgQIECBAgAABAgQIECBAgAABAgQIEOgIuAHQ0TOWAAECBAgQIECAAAECBAgQIECAAAECBAhMKvDR/fvjsdw+e/3J3R9//flYF20bBVhuhNKNAAECBAgQIECAAAECBAgQIECAAAECL1wg8ftk7wC4YhG5kXJFbFMRIECAAAECBAgQIECAAAECBAgQIEDghQu4AXClAnjz48939dM93v76ezfEXTdGd3wtIBEjYZrIY4YYiRx4LpcWz8Uidb12TdVndk948twXWB51r9WK1I2hPpf9mMUzkUe3LhI5JGIk6jORB89SXI4ZPGbIoUQSNTrLWrp5dMfzXK6xOuOZ9+iaut6ze8JzPs/9jDzqCLgB0NEzlgABAgQIECBAgAABAgQIECBAgAABAgQITCrgBsCkGyMtAgQIECBAgAABAgQIECBAgAABAgQIECDQEfAlwB29E8bWW4nqePXq1YdRX37x+cP52tu+trZXkBliHMtBng/bfbd1X5+L59q+jnWutdfzo89zWas8lz1L7Otz8Vxb66jftfZ6fvS5xlqPzbHb/u7du73Xo1Ny3Y1T48Yx01orpxnyXMtjWK211/Ojz7F1XDLGyOGSc1x7rU/pecpan0uea7WhdkpmOYbHNfb1GnPUyg7NM9Z5Snu9HtXx3P6NdGyttabR55DVbnudH+tzrD0R4xpzyHOpi4TFJWOM+r3kHBV7zHON+rvGHAkveS51cQ3PXW//Rjr+enTOnozrvMY6zhNIfAnw3f2R49OPXx/poXmLwA9vfrqvn+7xy9vfuiHuuzG642sBiRgJ00QeM8RI5MBzubR4Lhap67Vrqj6ze8KT577A8qh7rVakbgz1uezHLJ6JPLp1kcghESNRn4k8eJbicszgMUMOJZKo0VnW0s2jO57nco3VGc+8R9fU9Z7dE57zee5n9HIfJX437yOAzrv5YhQBAgQIECBAgAABAgQIECBAgAABAgQIEJhawEcATb09kntMYHys0jdff/VYN20bBXhuhNrYjedGqI3deG6E0u1JBNRnlp0nz6xANpr6zHqKlhdQo1lTnjyzAtlo6jPrKVpWQH3mPBMfAeQGQG4/RCJAgAABAgQIECBAgAABAgQIECBAgAABAhGBxA0AHwEU2QpBCBAgQIAAAQIECBAgQIAAAQIECBAgQIDAXAJuAFxpP+qtL+PtL50pd7+h/Nw43Rjd8ZV3IkbCNJHHDDESOfBcriiei0Xqeu2aqs/snvDkuS+wPOpeqxWpG0N9Lvsxi2cij25dJHJIxEjUZyIPnqW4HDN4zJBDiSRqdJa1dPPojue5XGN1xjPv0TV1vWf3hOd8nvsZedQRcAOgo2csAQIECBAgQIAAAQIECBAgQIAAAQIECBCYVMANgEk3RloECBAgQIAAAQIECBAgQIAAAQIECBAgQKAj4AZAR89YAgQIECBAgAABAgQIECBAgAABAgQIECAwqYAbAJNujLQIECBAgAABAgQIECBAgAABAgQIECBAgEBHwA2Ajp6xBAgQIECAAAECBAgQIECAAAECBAgQIEBgUoGP7t8fj+X22etP7v7468/HumgjQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEggKJ3817B0BwQ46Fqg1zECBAgAABAgQIECBAgAABAgQIECBAgACBawi4AXAN5fdzvPnx58hMb3/9vR2nG6M7vhaQiFGmXddEHjPESOTAc7m0eC4Wqeu1a6o+s3vCk+e+wPKoe61WpG4M9bnsxyyeiTy6dZHIIREjUZ+JPHiW4nLM4DFDDiWSqNFZ1tLNozue53KN1RnPvEfX1PWe3ROe83nuZ+RRR8ANgI6esQQIECBAgAABAgQIECBAgAABAgQIECBAYFIBNwAm3RhpESBAgAABAgQIECBAgAABAgQIECBAgACBjoAvAe7onTC23kr0/Xff3v37P//9MOrLLz5/OF9729fW9goyQ4xjOaTzfPfu3YPfq1evHv7c6nXtPB+S2/nPrHme61lLO2Q61rnWXs+PPofG77bPEuOUPNOeux7H8jjWzrME+vU36rdiHTM/1p6IcWyO3faqz/F3Z81dx1jPbr+/W/7+b6q9oj2HOU7Jc+16X4sxLNfa6/nR55jVJWOMHC45x6G1nup5KEY9t3uMtTylZ+WzNY9knpf0rDUdynWsc629nh99Do3fbZ8lxsjzKTx3PUYe9dzuMYPnyKHyOpTnofZ/etbY0e9QjFPaq++lYowcLznHuWv9p+nI9VIW5+ZZ43aPWfO8dc/ag0O1MfZjrb2eH30Ojd9t341xrudujDrfPbbmcUqeu/HrfOsc1ffYPN323Tl4Zr3L07+RDn/s+LgGduuvzneP0WfU+KjPb77+areb8zMEEl8CfHd/5Pj049dHemjeIvDDm5/uE5a/vP1ty3SP9unG6I6v5BIxyrR+OkcijxliJHLguVQSz8WizhIe3RjqM7snPHnuCyyPutdqRerGUJ/LfszimcijWxeJHBIxEvWZyINnKS7HDB4z5FAiiRqdZS3dPLrjeS7XWJ3xzHt0TV3v2T3hOZ/nfkYv91Hi98k+AuiMOy+GECBAgAABAgQIECBAgAABAgQIECBAgACB2QV8BNAVdyjylo0r5jv7VPWxSnV4O1Fmp3hmHEcUnkMi8yfPjKMolxFQn1lXnjyzAtlo6jPrKVpeQI1mTXnyzApko6nPrKdoWQH1mfNM/D7ZDYDcfhyNlNiwo5PoQIAAAQIECBAgQIAAAQIECBAgQIAAAQLPXiDx+2QfAXSlMhh3vq40nWkIECBAgMCqQL0meV1a5dFAgAABAlcS8Hp0JWjTECBAgMBRAa9JR4l0eMYCbgA8s80b36bdSbsbozu+ck/ESPzlnMhjhhiJHHguVxXPxSJ1vXZN1Wd+T/Yjnv6ou6ez1FYiD/W5Xz/d2uA5n2fiOunWRSKHRIxEfSbyuBXPskgcM3jMkENZJmp0lrV08+iO57l/dfLMe3RNXe/5PdmPePqj7p7WjLcSI1Gfp++AEWsCbgCsyXieAAECBAgQIECAAAECBAgQIECAAAECBAg8YwE3AJ7x5kmdAAECBAgQIECAAAECBAgQIECAAAECBAisCbgBsCbjeQIECBAgQIAAAQIECBAgQIAAAQIECBAg8IwF3AB4xpsndQIECBAgQIAAAQIECBAgQIAAAQIECBAgsCbw0f37Y62xnv/s9Sd3f/z152NdtG0QqC+/+P67b1lusNKFAAECBC4rUK9JdXzz9VeXnUh0AgQIECDwiIDXo0dwNBEgQIDAVQW8Jl2V22QnCCR+N+8GwAng3a6JDevmYDwBAgQIECBAgAABAgQIECBAgAABAgQIzC+Q+H2yjwCaf59luCJQd2fHHdqVLp4+QYDnCVgbuvLcgHRCF54nYOl6dQH1mSXnyTMrkI2mPrOeouUF1GjWlCfPrEA2mvrMeoqWFVCfWc9uNDcAuoIbx1fhJ463v/7eDtON0R1fC0jEaEOE8kispRujOz5hWTESecwQI5FDwjSRxy3F6JrekkV3LYn/GevmcEt/Z3Rr89YsErXRNU3kcEsxup6JGuW5vwtdj+74xJ4mYiRejxJ5JGLMsie1lu4xy1q6eXTHdx3H+EQeM8RI5DBMOn8m8rilGB3LGntLFt21JF6Tujnc2p5069P4nIAbADnLo5H+9d3/He2jAwECBAgQIECAAAECBAgQIECAAAECBAgQSAj4DoCE4oYY4x0Ar169+tD7yy8+fzhfu0O4tb2CzBDjWA7pPN+9e/fgN0y3el07z4ckd/4za57neq7t61jnWns9P/rc4p6kPU/x4rnU1iXrb9TvJedI7vtuXVR9jr87a446xnp2+/3d8vd/U+0V7TnMcUqea9f7WoxhudZez48+x6wuGWPkcMk5Dq31VM9DMeq53WOs5Sk9K5+teSTzvKRnrelQrmOda+31/OhzaPxu+ywxRp5P4bnrMfKo53aPGTxHDpXXoTwPtf/Ts8aOfodinNJefS8VY+R4yTnOXes/TUeul7I4N88at3vMmuete9YeHKqNsR9r7fX86HNo/G77boxzPXdj1PnusTWPU/LcjV/nW+eovsfm6bbvzsEz612e/o10+FNHxjWwW391vnuMPqPGR31+8/VXu92cnyGQ+A6Au/sjx6cfvz7SQ/MWgR/e/HRfP93jl7e/dUPcd2N0x9cCEjESpok8ZoiRyIHncmnxXCxS12vXVH1m94Qnz32B5VH3Wq1I3Rjqc9mPWTwTeXTrIpFDIkaiPhN58CzF5ZjBY4YcSiRRo7OspZtHdzzP5RqrM555j66p6z27Jzzn89zP6OU+Svxu3kcAnXHnxRACBAgQIECAAAECBAgQIECAAAECBAgQIDC7gBsAs++Q/AgQIECAAAECBAgQIECAAAECBAgQIECAwBkCvgPgDDRD5hAY36vg88Qy+8Ez4zii8BwSmT95ZhxFuYyA+sy68uSZFchGU59ZT9HyAmo0a8qTZ1YgG019Zj1Fywqoz5xn4jsA3ADI7YdIBAgQIECAAAECBAgQIECAAAECBAgQIEAgIpC4AeAjgCJbcTxI3fkad7+O917vMb5Ne73H8ZZujO74yjARI2GayGOGGIkceC7XDs/FInW9dk3VZ3ZPePLcF1geda/VitSNoT6X/ZjFM5FHty4SOSRiJOozkQfPUlyOGTxmyKFEEjU6y1q6eXTH81yusTrjmffomrres3vCcz7P/Yw86gi4AdDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECEwq4AbApBsjLQIECBAgQIAAAQIECBAgQIAAAQIECBAg0BFwA6CjZywBAgQIECBAgAABAgQIECBAgAABAgQIEJhUwA2ASTdGWgQIECBAgAABAgQIECBAgAABAgQIECBAoCPgBkBHz1gCBAgQIECAAAECBAgQIECAAAECBAgQIDCpwEf374/Hcvvs9Sd3f/z152NdtBEgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJBgcTv5r0DILghQhEgQIAAAQIECBAgQIAAAQIECBAgQIAAgVkE3ACYZSc25vH219839lzv1o3RHV+ZJWK8+fHnu/rpHIk8ZoiRyIHnUkk8F4s6S3h0Y6jP/J7sRzz9UXdPa8ZbiaE+9+unu6885/NMXK/dukjkkIiRqM9EHrfiWRaJYwaPGXIoy0SNzrKWbh7d8Tz3r06eeY+uqes9vyf7EU9/1N3TmvFWYiTq8/QdMGJNwA2ANZnw8wo/DCocAQIECJwt4DXpbDoDCRAgQCAo4PUoiCkUAQIECLQEvCa1+AyeXMANgCtu0PfffXvF2UxFgAABAgQIECBAgAABAgQIECBAgAABAi9ZwJcAX2n3605i3QD413f/92HGb77+6uG82g4dW9trbDfG2viKvTWPtRhjfCLPRIznnudse7LmOVueame5lhMWiRjPpXaee57j7+DH1pG8XtfmGXlcsnaSc1wyz6T3S8rzkmt9LrXzXPJU4yWwHGPf/P24/L/ImkWpbfVaizHGV6xjfc5tl2cJLMcwP+ZZI4716bYn5kjEWFtHxd7qtRZjjH9JeV5yrUlPeZbA86jxse9r19nfK8mtZW2ekUfNd6xPtz0xxzkxdtdY4x2nC/gS4NPNjCBAgAABAgQIECBAgAABAgQIECBAgAABAi9D4P7I8enHr4/00LxF4Ic3P90nLH95+9uW6R7t043RHV/JJWKUaf10jkQeM8RI5MBzqSSei0WdJTy6MdRndk948twXWB51r9WK1I2hPpf9mMUzkUe3LhI5JGIk6jORB89SXI4ZPGbIoUQSNTrLWrp5dMfzXK6xOuOZ9+iaut6ze8JzPs/9jF7uo8Tvk30HwMu4z2OVBAgQIECAAAECBAgQIECAAAECBAgQIPDCBHwHwBU3PPGZTVdM11QECBAgQIAAAQIECBAgQIAAAQIECBAg8EQCid8newfAE22eaQkQIECAAAECBAgQIECAAAECBAgQIECAwCUF3AC4pO5O7LVv697p4vREgTLleiLaI915PoJzRhPPM9AeGcLzEZwzmniegfbIEJ6P4JzRxPMMtEeG8HwE54wmnmegPTKE5yM4ZzYxPRNuZRjPFZgzn+Z5JtzKMJ4rMGc+zfNMuJVhPFdgnuhpNwCeCP7cad/++vu5Qz+M68bojq9EEjE+LKhxkshjhhiJHBqMH4Ym8pghRiKHDyiNk0QetxSjQfkw9JYsEmvhuQjwzFrwvD3PWlF3X7vjEzmkYlSc7tH16I6v/GeJ0bWcZS0893dyBo9EDvurOu9RIo8ZYiRyOE9wf1Qij1uKsa9z+qNbskis5XTB/RGJHG4pxr6OR08p4AbAU+qbmwABAgQIECBAgAABAgQIECBAgAABAgQIXEjADYALwQpLgAABAgQIECBAgAABAgQIECBAgAABAgSeUsANgKfUNzcBAgQIECBAgAABAgQIECBAgAABAgQIELiQgBsAF4IVlgABAgQIECBAgAABAgQIECBAgAABAgQIPKXAR/fvj8cS+Oz1J3d//PXnY120bRRguRFKNwIECBAgQIAAAQIECBAgQIAAAQIECLxwgcTvk70D4IUXkeUTIECAAAECBAgQIECAAAECBAgQIECAwG0KuAFwm/v6Ilb15sef7+rHkRHgmXEcUXgOicyfPDOOolxGQH1mXXnyzApko6nPrKdoeQE1mjXlyTMrkI2mPrOeomUF1GfWsxvNDYCu4MbxVfiJ4+2vv7fDdGN0x9cCEjHaEKE8EmvpxuiOT1hWjEQeM8RI5JAwTeRxSzG6prdk0V1L4n/Gujnc0t8Z3dq8NYtEbXRNEzncUoyuZ6JGee7vQtejOz6xp4kYidejRB6JGLPsSa2le8yylm4e3fFdxzE+kccMMRI5DJPOn4k8bilGx7LG3pJFdy2J16RuDre2J936ND4n4AZAzlIkAgQIECBAgAABAgQIECBAgAABAgQIECAwjYAvAb7SVox3ALx69erDjF9+8fnD+dodwq3tFWSGGMdykOfDdt9t3dfn4rm2r2Oda+31/OjzXNYqz2XPEvv6XDzX1jrqd629nh99rrHWY3Pstr979+5u9/XolFx349S4ccy01spphjzX8hhWa+31/OhzbB2XjDFyuOQc117rU3qestbnkudabaidklmO4XGNfb3GHLWyQ/OMdZ7SXq9Hdey+Jo04h+aovlvbq++lYowcLjlHxR7zHFtHIo9rzCHPZU8TFpeMMWrvknNU7DHPNervGnMkvOS51MU1PHe9/Rvp+OvmOXsyrvMa6zhPIPElwHf3R45PP359pIfmLQI/vPnpvn66xy9vf+uGuO/G6I6vBSRiJEwTecwQI5EDz+XS4rlYpK7Xrqn6zO4JT577Asuj7rVakbox1OeyH7N4JvLo1kUih0SMRH0m8uBZissxg8cMOZRIokZnWUs3j+54nss1Vmc88x5dU9d7dk94zue5n9HLfZT43byPADrv5otRBAgQIECAAAECBAgQIECAAAECBAgQIEBgagE3AKbeHskRIECAAAECBAgQIECAAAECBAgQIECAAIHzBHwHwHluRhEgQIAAAQIECBAgQIAAAQIECBAgQIAAgYsJJL4DwDsALrY9AhMgQIAAAQIECBAgQIAAAQIECBAgQIAAgacTcAPgSvZvfvz5rn66x+43lJ8bqxujO77yTsRImCbymCFGIgeeyxXFc7FIXa9dU/WZ3ROePPcFlkfda7UidWOoz2U/ZvFM5NGti0QOiRiJ+kzkwbMUl2MGjxlyKJFEjc6ylm4e3fE8l2usznjmPbqmrvfsnvCcz3M/I486Am4AdPSMJUCAAAECBAgQIECAAAECBAgQIECAAAECkwq4ATDpxkiLAAECBAgQIECAAAECBAgQIECAAAECBAh0BNwA6OgZS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEJhVwA2DSjZEWAQIECBAgQIAAAQIECBAgQIAAAQIECBDoCLgB0NEzlgABAgQIECBAgAABAgQIECBAgAABAgQITCrw0f3747HcPnv9yd0ff/35WBdtBAgQIECAAAECBAgQIECAAAECBAgQIECAQFAg8bt57wAIbohQBAgQIECAAAECBAgQIECAAAECBAgQIEBgFgE3AK60E29+/PmufrrH219/74a468bojq8FJGIkTBN5zBAjkQPP5dLiuVikrteuqfrM7glPnvsCy6PutVqRujHU57Ifs3gm8ujWRSKHRIxEfSby4FmKyzGDxww5lEiiRmdZSzeP7nieyzVWZzzzHl1T13t2T3jO57mfkUcdATcAOnrGEiBAgAABAgQIECBAgAABAgQIECBAgACBSQXcAJh0Y6RFgAABAgQIECBAgAABAgQIECBAgAABAgQ6Ar4EuKN3wth6K9H333179+///PfDqC+/+PzhfO1tX1vbK8gMMY7lIM+H7b7buq/PxXNtX8c619rr+dHnuaxVnsueJfb1uXiurXXU71p7PT/6XGOtx+bYbX/37t3dq1evKsUPx9Zcd+N8GPz+ZOv4GtONcWx8Yo5LxhhWl5yjYo95zvUa42fP85S1nmtxyhwJr+eS59pa1U7JLMfwuMa+XmOOWtmhecY6T2mv16M6dl+TRpxDc1Tfre3V91IxRg6XnKNij3mOrSORxzXmkOeypwmLS8YYtXfJOSr2mOca9XeNORJe8lzq4hqeu97+jXT8dfOcPRnXeY11nCeQ+BLgu/sjx6cfvz7SQ/MWgR/e/HSfsPzl7W9bpnu0TzdGd3wll4hRpvXTORJ5zBAjkQPPpZJ4LhZ1lvDoxlCf2T3hyXNfYHnUvVYrUjeG+lz2YxbPRB7dukjkkIiRqM9EHjxLcTlm8JghhxJJ1Ogsa+nm0R3Pc7nG6oxn3qNr6nrP7gnP+Tz3M3q5jxK/T/YRQOfdfDGKAAECBAgQIECAAAECBAgQIECAAAECBAhMLeAjgK64PZG3bFwx39mnqo9VquObr7+aPdVnkR/P7Dbx5JkVEG1mAdd7dnd48swKZKOpz6ynaHkBNZo15ckzK5CNpj6znqJlBdRnzjPx+2Q3AHL7cTRSYsOOTqIDAQIECBAgQIAAAQIECBAgQIAAAQIECDx7gcTvk30E0LMvAwsgQIAAAQIECBAgQIAAAQIECBAgQIAAAQL/K+AGwP+aXOSZ8daXbvDdbyg/N1Y3Rnd85Z2IUaZd10QeM8RI5MBzuaJ4Lhap67Vrqj6ze8KT577A8qh7rVakbgz1uezHLJ6JPLp1kcghESNRn4k8eJbicszgMUMOJZKo0VnW0s2jO57nco3VGc+8R9fU9Z7dE57zee5n5FFHwA2Ajp6xBAgQIECAAAECBAgQIECAAAECBAgQIEBgUgE3ACbdGGkRIECAAAECBAgQIECAAAECBAgQIECAAIGOgBsAHT1jCRAgQIAAAQIECBAgQIAAAQIECBAgQIDApAJuAEy6MdIiQIAAAQIECBAgQIAAAQIECBAgQIAAAQIdATcAOnrGEiBAgAABAgQIECBAgAABAgQIECBAgACBSQU+un9/PJbbZ68/ufvjrz8f66JtowDLjVC6ESBAgAABAgQIECBAgAABAgQIECBA4IULJH6f7B0AL7yILJ8AAQIECBAgQIAAAQIECBAgQIAAAQIEblPADYAr7eubH3+OzPT219/bcboxuuNrAYkYZdp1TeQxQ4xEDjyXS4vnYpG6Xrum6jO7Jzx57gssj7rXakXqxlCfy37M4pnIo1sXiRwSMRL1mciDZykuxwweM+RQIokanWUt3Ty643ku11id8cx7dE1d79k94Tmf535GHnUE3ADo6BlLgAABAgQIECBAgAABAgQIECBAgAABAgQmFXADYNKNkRYBAgQIECBAgAABAgQIECBAgAABAgQIEOgI+BLgjt4JY+utRN9/9+3dv//z3w+jvvzi84fztbd9bW2vIDPEOJZDOs937949+L169erhz61e187zIbmd/8ya57metbRDpmOda+31/OhzaPxu+ywxTskz7bnrcSyPY+08S6Bff6N+K9Yx82PtiRjH5thtr/ocf3fW3HWM9ez2+7vl7/+m2ivac5jjlDzXrve1GMNyrb2eH32OWV0yxsjhknMcWuupnodi1HO7x1jLU3pWPlvzSOZ5Sc9a06FcxzrX2uv50efQ+N32WWKMPJ/Cc9dj5FHP7R4zeI4cKq9DeR5q/6dnjR39DsU4pb36XirGyPGSc5y71n+ajlwvZXFunjVu95g1z1v3rD04VBtjP9ba6/nR59D43fbdGOd67sao891jax6n5Lkbv863zlF9j83Tbd+dg2fWuzz9G+nwx46Pa2C3/up89xh9Ro2P+vzm6692uzk/QyDxJcB390eOTz9+faSH5i0CP7z56T5h+cvb37ZM92ifbozu+EouEaNM66dzJPKYIUYiB55LJfFcLOos4dGNoT6ze8KT577A8qh7rVakbgz1uezHLJ6JPLp1kcghESNRn4k8eJbicszgMUMOJZKo0VnW0s2jO57nco3VGUbrWMsAAEAASURBVM+8R9fU9Z7dE57zee5n9HIfJX6f7COAzrjzcu6Qf333f+cONY4AAQIECBAgQIAAAQIECBAgQIAAAQIECJwk4COATuLSeSaB+lilOrydKLMrPDOOIwrPIZH5k2fGUZTLCKjPrCtPnlmBbDT1mfUULS+gRrOmPHlmBbLR1GfWU7SsgPrMeSY+AsgNgNx+iESAAAECBAgQIECAAAECBAgQIECAAAECBCICiRsAPgIoshWCECBAgAABAgQIECBAgAABAgQIECBAgACBuQTcALjSftRbX8bbXzpTjm/TfsoYM+RQ60+YzrKWbh7d8Tz3ryieeY+uqes9uyc8ee4LLI+612pF6sZQn8t+zOKZyKNbF4kcEjES9ZnIg2cpLscMHjPkUCKJGp1lLd08uuN5LtdYnfHMe3RNXe/ZPeE5n+d+Rh51BNwA6OgZS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEJhVwA2DSjZEWAQIECBAgQIAAAQIECBAgQIAAAQIECBDoCLgB0NEzlgABAgQIECBAgAABAgQIECBAgAABAgQITCrgBsCkGyMtAgQIECBAgAABAgQIECBAgAABAgQIECDQEfh/ncHGEnhKgW++/uopp7+5uXlmt5Qnz6yAaDMLuN6zu8OTZ1YgG019Zj1Fywuo0awpT55ZgWw09Zn1FC0roD6znt1oH92/Px4L8tnrT+7++OvPx7poI0CAAAECBAgQIECAAAECBAgQIECAAAECBIICid/N+wig4IYIdV2BNz/+fFc/jowAz4zjiMJzSGT+5JlxFOUyAuoz68qTZ1YgG019Zj1Fywuo0awpT55ZgWw09Zn1FC0roD6znt1obgB0BTeOTxX+219/3zjjerdujO74yiwRY32F21sSecwQI5HDdrX1nok8ZoiRyGFdaXtLIo9birFd7nDPW7LoriXxmtTNoXbplmIcrrrtz96SRWIt2+UO90zkcEsxDiud9mzXozu+sp0lxmlyh3t319IdP4tn4vVolrXMsieHK+60Z2dZSzeP7vjT1NZ7J/KYIUYih3Wl7S2JPG4pxna5wz1vyaK7lsRrUjeH2qVbinG46jz7FAJuADyFujkJECBAgAABAgQIECBAgAABAgQIECBAgMCFBdwAuDCw8AQIECBAgAABAgQIECBAgAABAgQIECBA4CkEfAnwldTrrUR1vHr16sOMX37x+cP52tt7trZXkBliHMshnee7d+8e/IbpVq9r5/mQ5M5/Zs3zXM+1fR3rXGuv50efW9yTtOcpXjyX2rpk/Y36veQcyX3frYuqz/F3Z81Rx1jPbr+/W/7+b6q9oj2HOU7Jc+16X4sxLNfa6/nR55jVJWOMHC45x6G1nup5KEY9t3uMtTylZ+WzNY9knpf0rDUdynWsc629nh99Do3fbZ8lxsjzKTx3PUYe9dzuMYPnyKHyOpTnofZ/etbY0e9QjFPaq++lYowcLznHuWv9p+nI9VIW5+ZZ43aPWfO8dc/ag0O1MfZjrb2eH30Ojd9t341xrudujDrfPbbmcUqeu/HrfOsc1ffYPN323Tl4Zr3L07+RDn/s+LgGduuvzneP0WfU+KjPb77+areb8zMEEl8CfHd/5Pj049dHemjeIvDDm5/u66d7/PL2t26I+26M7vhaQCJGwjSRxwwxEjnwXC4tnotF6nrtmqrP7J7w5LkvsDzqXqsVqRtDfS77MYtnIo9uXSRySMRI1GciD56luBwzeMyQQ4kkanSWtXTz6I7nuVxjdcYz79E1db1n94TnfJ77Gb3cR4nfzfsIoDPuvJw75Pvvvj13qHEECBAgQIAAAQIECBAgQIAAAQIECBAgQOAkAR8BdBJXr3PkLRu9FG5q9PhYJW8nymwrz4zjiMJzSGT+5JlxFOUyAuoz68qTZ1YgG019Zj1Fywuo0awpT55ZgWw09Zn1FC0roD5znonfJ7sBkNuPo5ESG3Z0Eh0IECBAgAABAgQIECBAgAABAgQIECBA4NkLJH6f7COArlQG485Xd7rxZRqdON0Y3fGVeyJGx2CMTeQxQ4xEDsOk82cijxliJHLoOI6xiTxuKcZwOffPW7LorqVek7qvS90cah9vKca5dTnG3ZJFYi3D5dw/EzncUoxzHXfHdT264yuXWWLsupx73l1Ld/wsnonXo1nWMsuenFuTu+NmWUs3j+74XZPOeSKPGWIkcug4jrGJPG4pxnA5989bsuiuJfGa1M2h9vGWYpxbl8blBdwAyJuKeCWBxF/OV0r1WUzDM7tNPHlmBUSbWcD1nt0dnjyzAtlo6jPrKVpeQI1mTXnyzApko6nPrKdoWQH1mfXsRnMDoCtoPAECBAgQIECAAAECBAgQIECAAAECBAgQmFDADYAJN0VKBAgQIECAAAECBAgQIECAAAECBAgQIECgK+AGQFfQeAIECBAgQIAAAQIECBAgQIAAAQIECBAgMKGAGwATboqUCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAV+Cj+/fHY0E+e/3J3R9//flYF20bBVhuhNKNAAECBAgQIECAAAECBAgQIECAAAECL1wg8ftk7wB44UVk+QQIECBAgAABAgQIECBAgAABAgQIECBwmwJuADyzfX376+/tjLsxuuNrAYkYb378+a5+OkcijxliJHLguVQSz8WizhIe3RjqM78n+xFPf9Td05rxVmKoz/366e4rz/k8E9drty4SOSRiJOozkceteJZF4pjBY4YcyjJRo7OspZtHdzzP/auTZ96ja+p6z+/JfsTTH3X3tGa8lRiJ+jx9B4xYE3ADYE0m/HwVvoMAAQIECMwg4H/GZtgFORAgQICA1yM1QIAAAQKzCHhNmmUn5HEJATcALqEqJgECBAgQIECAAAECBAgQIECAAAECBAgQeGIBXwJ8pQ2oO4nff/ft3b+++78PM37z9VcP59V26NjaXmO7MdbGV+yteazFGOMTeSZiPPc8Z9uTNc/Z8lQ7y7WcsEjEeC6189zzHH8HP7aO5PW6Ns/I45K1k5zjknkmvV9Snpdc63OpneeSpxovgeUY++bvx+X/RdYsSm2r11qMMb5iHetzbrs8S2A5hvkxzxpxrE+3PTFHIsbaOir2Vq+1GGP8S8rzkmtNesqzBJ5HjY99X7vO/l5Jbi1r84w8ar5jfbrtiTnOibG7xhrvOF3AlwCfbmYEAQIECBAgQIAAAQIECBAgQIAAAQIECBB4GQL3R45PP359pIfmLQI/vPnpPmH5y9vftkz3aJ9ujO74Si4Ro0zrp3Mk8pghRiIHnksl8Vws6izh0Y2hPrN7wpPnvsDyqHutVqRuDPW57Mcsnok8unWRyCERI1GfiTx4luJyzOAxQw4lkqjRWdbSzaM7nudyjdUZz7xH19T1nt0TnvN57mf0ch8lfp/sOwBexn0eqyRAgAABAgQIECBAgAABAgQIECBAgACBFybw/17Yep9sufWZV/UdAA4CBAgQIPDUAj6H8al3wPwECBAgUAJej9QBAQIECMwi4DVplp2QxyUEfAnwJVTFJECAAAECBAgQIECAAAECBAgQIECAAAECDQFfAtzAu/bQ+rbutW/svnYutzIf0+xO8uSZFchGU588swLZaOqTZ1YgG0198swKZKOpz6xnRWOaNeXJMyuQjaY+eWYFstHUZ9azG813AHQFrzz+7a+/t2fsxuiOrwUkYrQhQnkk1tKN0R2fsKwYiTxmiJHIIWGayOOWYnRNb8kisRaeiwDPrAXP2/OsFXX3tTs+kUMqRsXpHl2P7vjKf5YYXctZ1sJzfydn8EjksL+q8x4l8pghRiKH8wT3RyXyuKUY+zqnP7oli8RaThfcH5HI4ZZi7Ot49JQCbgA8pb65CRAgQIAAAQIECBAgQIAAAQIECBAgQIDAhQTcALgQrLAECBAgQIAAAQIECBAgQIAAAQIECBAgQOApBdwAeEp9cxMgQIAAAQIECBAgQIAAAQIECBAgQIAAgQsJuAFwIVhhCRAgQIAAAQIECBAgQIAAAQIECBAgQIDAUwr8v6ec/CXN/c3XX72k5V5lrUyzzDx5ZgWy0dQnz6xANpr65JkVyEZTnzyzAtlo6jPrWdGYZk158swKZKOpT55ZgWw09Zn17Eb76P798ViQz15/cvfHX38+1kUbAQIECBAgQIAAAQIECBAgQIAAAQIECBAgEBRI/G7eRwAFN0So6wq8+fHnu/pxZAR4ZhxHFJ5DIvMnz4yjKJcRUJ9ZV548swLZaOoz6ylaXkCNZk158swKZKOpz6ynaFkB9Zn17EZzA6AruHF8qvDf/vr7xhnXu3VjdMdXZokY6yvc3pLIY4YYiRy2q633TOQxQ4xEDutK21sSedxSjO1yh3vekkV3LYnXpG4OtUu3FONw1W1/9pYsEmvZLne4ZyKHW4pxWOm0Z7se3fGV7SwxTpM73Lu7lu74WTwTr0ezrGWWPTlccac9O8taunl0x5+mtt47kccMMRI5rCttb0nkcUsxtssd7nlLFt21JF6TujnULt1SjMNV59mnEHAD4CnUzUmAAAECBAgQIECAAAECBAgQIECAAAECBC4s4DsALgw8wtedxDpevXo1nrr78ovPH87X7u5tba8gM8Q4loM8H7b75vZ9bV9H/a611/Ojj9pZLBJePLOea3sy6netvZ4ffa6xJ8fm2G1/9+7d3uvRKbnuxqlx45hprZXTDHmu5TGs1trr+dHn2DouGWPkcMk5rr3Wp/Q8Za3PJc+12lA7JbMcw+Ma+3qNOWplh+YZ6zylvV6P6nhu/0Y6ttZa0+hzyGq3vc6P9TnWnohxjTnkudRFwuKSMUb9XnKOij3muUb9XWOOhJc8l7q4hueut38jHX89OmdPxnVeYx3nCSS+A+CuvgT4sePTj18/1qxto8APb366r5/u8cvb37oh7rsxuuNrAYkYCdNEHjPESOTAc7m0eC4Wqeu1a6o+s3vCk+e+wPKoe61WpG4M9bnsxyyeiTy6dZHIIREjUZ+JPHiW4nLM4DFDDiWSqNFZ1tLNozue53KN1RnPvEfX1PWe3ROe83nuZ/RyHyV+N+8jgM67+WIUAQIECBAgQIAAAQIECBAgQIAAAQIECBCYWsANgKm3R3IECBAgQIAAAQIECBAgQIAAAQIECBAgQOA8Ad8BcJ7bWaMin9l01swGESBAgAABAgQIECBAgAABAgQIECBAgMBzEkj8Ptk7AJ7TjsuVAAECBAgQIECAAAECBAgQIECAAAECBAhsFHADYCNUt9ubH3/uhngYv/sN5ecG7Mbojq+8EzHKtOuayGOGGIkceC5XFM/FInW9dk3VZ3ZPePLcF1geda/VitSNoT6X/ZjFM5FHty4SOSRiJOozkQfPUlyOGTxmyKFEEjU6y1q6eXTH81yusTrjmffomrres3vCcz7P/Yw86gi4AdDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECEwq4AbApBsjLQIECBAgQIAAAQIECBAgQIAAAQIECBAg0BFwA6CjZywBAgQIECBAgAABAgQIECBAgAABAgQIEJhUwA2ASTdGWgQIECBAgAABAgQIECBAgAABAgQIECBAoCPgBkBHz1gCBAgQIECAAAECBAgQIECAAAECBAgQIDCpwEf374/Hcvvs9Sd3f/z152NdtG0UYLkRSjcCBAgQIECAAAECBAgQIECAAAECBAi8cIHE75O9A+CFF5HlEyBAgAABAgQIECBAgAABAgQIECBAgMBtCrgBcKV9ffPjz1ea6eVMU6Zcc/vNM2dZkXjyzApko6lPnlmBbDT1yTMrkI2mPnlmBfLR1GjWlCfPrEA2mvrkmRXIRlOfWc9uNDcAuoJXHv/219/bM3ZjdMfXAhIx2hChPBJr6cbojk9YVoxEHjPESOSQME3kcUsxuqa3ZJFYC89FgGfWguftedaKuvvaHZ/IIRWj4nSPrkd3fOU/S4yu5Sxr4bm/kzN4JHLYX9V5jxJ5zBAjkcN5gvujEnncUox9ndMf3ZJFYi2nC+6PSORwSzH2dTx6SgE3AJ5S39wECBAgQIAAAQIECBAgQIAAAQIECBAgQOBCAr4E+EKw/wxbb335/rtv7/79n/9+aPryi88fztfu7m1tryAzxDiWgzwftvtu674+F8+1fR3rXGuv50ef57JWeS57ltjX5+K5ttZRv2vt9fzoc421Hptjt/3du3d3r169qhQ/HFtz3Y3zYfD7k63ja0w3xrHxiTkuGWNYXXKOij3mOddrjJ89z1PWeq7FKXMkvJ5LnmtrVTslsxzD4xr7eo05amWH5hnrPKW9Xo/q2H1NGnEOzVF9t7ZX30vFGDlcco6KPeY5to5EHteYQ57LniYsLhlj1N4l56jYY55r1N815kh4yXOpi2t47nr7N9Lx181z9mRc5zXWcZ5A4kuA7+6PHJ9+/PpID81bBH5489N9wvKXt79tme7RPt0Y3fGVXCJGmdZP50jkMUOMRA48l0riuVjUWcKjG0N9ZveEJ899geVR91qtSN0Y6nPZj1k8E3l06yKRQyJGoj4TefAsxeWYwWOGHEokUaOzrKWbR3c8z+UaqzOeeY+uqes9uyc85/Pcz+jlPkr8PtlHAJ1388UoAgQIECBAgAABAgQIECBAgAABAgQIECAwtYCPALrS9oyPAPrjrz+vNOPtT1OmdXzz9Ve3v9grrJBnFpknz6xANpr65JkVyEZTnzyzAtlo6pNnViAfTY1mTXnyzApko6lPnlmBbDT1mfNMfASQGwC5/TgaKbFhRyfRgQABAgQIECBAgAABAgQIECBAgAABAgSevUDi98k+AujZl4EFECBAgAABAgQIECBAgAABAgQIECBAgACB/xVwA+B/TS7yTL315V/f/V879u43lJ8brBujO77yTsQo0/GWoqeySK2l69EdX+vguVQRz8WizhIe3RjqM7snPHnuCyyPutdqRerGUJ/LfszimcijWxeJHBIxEvWZyINnKS7HDB4z5FAiiRqdZS3dPLrjeS7XWJ3xzHt0TV3v2T3hOZ/nfkYedQTcAOjoGUuAAAECBAgQIECAAAECBAgQIECAAAECBCYVcANg0o2RFgECBAgQIECAAAECBAgQIECAAAECBAgQ6Ai4AdDRM5YAAQIECBAgQIAAAQIECBAgQIAAAQIECEwq4AbApBsjLQIECBAgQIAAAQIECBAgQIAAAQIECBAg0BFwA6CjZywBAgQIECBAgAABAgQIECBAgAABAgQIEJhU4KP798djuX32+pO7P/7687Eu2ggQIECAAAECBAgQIECAAAECBAgQIECAAIGgQOJ3894BENwQoQgQIECAAAECBAgQIECAAAECBAgQIECAwCwCbgBcaSfe/PjzXf10j7e//t4NcdeN0R1fC0jESJgm8pghRiIHnsulxXOxSF2vXVP1md0Tnjz3BZZH3Wu1InVjqM9lP2bxTOTRrYtEDokYifpM5MGzFJdjBo8ZciiRRI3OspZuHt3xPJdrrM545j26pq737J7wnM9zPyOPOgJuAHT0jCVAgAABAgQIECBAgAABAgQIECBAgAABApMKuAEw6cZIiwABAgQIECBAgAABAgQIECBAgAABAgQIdAR8CXBH74Sx9VaiOl69evVh1JdffP5wvva2r63tFWSGGMdykOfDdt9t3dfn4rm2r2Oda+31/OjzXNYqz2XPEvv6XDzX1jrqd629nh99rrHWY3Pstr97927v9eiUXHfj1LhxzLTWymmGPNfyGFZr7fX86HNsHZeMMXK45BzXXutTep6y1ueS51ptqJ2SWY7hcY19vcYctbJD84x1ntJer0d1PLd/Ix1ba61p9Dlktdte58f6HGtPxLjGHPJc6iJhcckYo34vOUfFHvNco/6uMUfCS55LXVzDc9fbv5GOvx6dsyfjOq+xjvMEEl8CfHd/5Pj049dHemjeIvDDm5/u66d7/PL2t26I+26M7vhaQCJGwjSRxwwxEjnwXC4tnotF6nrtmqrP7J7w5LkvsDzqXqsVqRtDfS77MYtnIo9uXSRySMRI1GciD56luBwzeMyQQ4kkanSWtXTz6I7nuVxjdcYz79E1db1n94TnfJ77Gb3cR4nfzfsIoPNuvhhFgAABAgQIECBAgAABAgQIECBAgAABAgSmFvARQFNvj+QeExgfq/TN11891k3bRgGeG6E2duO5EWpjN54boXR7EgH1mWXnyTMrkI2mPrOeouUF1GjWlCfPrEA2mvrMeoqWFVCfOc/ERwC5AZDbD5EIECBAgAABAgQIECBAgAABAgQIECBAgEBEIHEDwEcARbZCEAIECBAgQIAAAQIECBAgQIAAAQIECBAgMJeAGwBX2o9660vdsekeu99Qfm6sbozu+Mo7EaNMx1uKnsoitZauR3d8rYPnUkU8F4s6S3h0Y6jP7J7w5LkvsDzqXqsVqRtDfS77MYtnIo9uXSRySMRI1GciD56luBwzeMyQQ4kkanSWtXTz6I7nuVxjdcYz79E1db1n94TnfJ77GXnUEXADoKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQmFTADYBJN0ZaBAgQIECAAAECBAgQIECAAAECBAgQIECgI+AGQEfPWAIECBAgQIAAAQIECBAgQIAAAQIECBAgMKmAGwCTboy0CBAgQIAAAQIECBAgQIAAAQIECBAgQIBAR8ANgI6esQQIECBAgAABAgQIECBAgAABAgQIECBAYFKBj+7fH4/l9tnrT+7++OvPx7po2yjAciOUbgQIECBAgAABAgQIECBAgAABAgQIEHjhAonfJ3sHwAsvIssnQIAAAQIECBAgQIAAAQIECBAgQIAAgdsUcAPgSvv65sefIzO9/fX3dpxujO74WkAiRpl2XRN5zBAjkQPP5dLiuVikrteuqfrM7glPnvsCy6PutVqRujHU57Ifs3gm8ujWRSKHRIxEfSby4FmKyzGDxww5lEiiRmdZSzeP7nieyzVWZzzzHl1T13t2T3jO57mfkUcdATcAOnrGEiBAgAABAgQIECBAgAABAgQIECBAgACBSQXcAJh0Y6RFgAABAgQIECBAgAABAgQIECBAgAABAgQ6Ar4EuKN3wth6K9H333179+///PfDqC+/+PzhfO1tX1vbK8gMMY7lkM7z3bt3D36vXr16+HOr17XzfEhu5z+z5nmuZy3tkOlY51p7PT/6HBq/2z5LjFPyTHvuehzL41g7zxLo19+o34p1zPxYeyLGsTl226s+x9+dNXcdYz27/f5u+fu/qfaK9hzmOCXPtet9LcawXGuv50efY1aXjDFyuOQch9Z6quehGPXc7jHW8pSelc/WPJJ5XtKz1nQo17HOtfZ6fvQ5NH63fZYYI8+n8Nz1GHnUc7vHDJ4jh8rrUJ6H2v/pWWNHv0MxTmmvvpeKMXK85BznrvWfpiPXS1mcm2eN2z1mzfPWPWsPDtXG2I+19np+9Dk0frd9N8a5nrsx6nz32JrHKXnuxq/zrXNU32PzdNt35+CZ9S5P/0Y6/LHj4xrYrb863z1Gn1Hjoz6/+fqr3W7OzxBIfAnw3f2R49OPXx/poXmLwA9vfrpPWP7y9rct0z3apxujO76SS8Qo0/rpHIk8ZoiRyIHnUkk8F4s6S3h0Y6jP7J7w5LkvsDzqXqsVqRtDfS77MYtnIo9uXSRySMRI1GciD56luBwzeMyQQ4kkanSWtXTz6I7nuVxjdcYz79E1db1n94TnfJ77Gb3cR4nfJ/sIoDPuvBhCgAABAgQIECBAgAABAgQIECBAgAABAgRmF/ARQFfcochbNq6Y7+xT1ccq1eHtRJmd4plxHFF4DonMnzwzjqJcRkB9Zl158swKZKOpz6ynaHkBNZo15ckzK5CNpj6znqJlBdRnzjPx+2Q3AHL7cTRSYsOOTqIDAQIECBAgQIAAAQIECBAgQIAAAQIECDx7gcTvk30E0JXKYNz56k43vkyjE6cbozu+ck/E6BiMsYk8ZoiRyGGYdP5M5DFDjEQOHccxNpHHLcUYLuf+eUsW3bXUa1L3dambQ+3jLcU4ty7HuFuySKxluJz7ZyKHW4pxruPuuK5Hd3zlMkuMXZdzz7tr6Y6fxTPxejTLWmbZk3NrcnfcLGvp5tEdv2vSOU/kMUOMRA4dxzE2kcctxRgu5/55SxbdtSRek7o51D7eUoxz69K4vIAbAHlTEa8kkPjL+UqpPotpeGa3iSfPrIBoMwu43rO7w5NnViAbTX1mPUXLC6jRrClPnlmBbDT1mfUULSugPrOe3WhuAHQFjSdAgAABAgQIECBAgAABAgQIECBAgAABAhMKuAFwxU3513f/d8XZTEWAAAECBAgQIECAAAECBAgQIECAAAECL1nADYCXvPvWToAAAQIECBAgQIAAAQIECBAgQIAAAQI3K+AGwM1urYURIECAAAECBAgQIECAAAECBAgQIECAwEsW+Oj+/fEYwGevP7n7468/H+uibYNAfflFHd98/dWG3roQIECAAIHLCXhNupytyAQIECCwXcDr0XYrPQkQIEDgsgJeky7rK/r5AonfzbsBcL6/kQQIECBAgAABAgQIECBAgAABAgQIECBA4CICiRsAPgLoIltzuaBvf/29Hbwbozu+FpCIUXdnxx3ac1ESecwQI5EDz6WKeC4WdZbw6MZQn/k92Y94+qPuntaMtxJDfe7XT3dfec7nmbheu3WRyCERI1GfiTxuxbMsEscMHjPkUJaJGp1lLd08uuN57l+dPPMeXVPXe35P9iOe/qi7pzXjrcRI1OfpO2DEmoAbAGsy4ecVfhhUOAIECBA4W8Br0tl0BhIgQIBAUMDrURBTKAIECBBoCXhNavEZPLmAGwCTb5D0CBAgQIAAAQIECBAgQIAAAQIECBAgQIDAOQK+A+ActTPG1J3Efx7jC4EPtVXfre3VtxtjbfwpeazFGOtI5JmI8dzznG1P1jxny1PtLH+nJCwSMZ5L7Tz3PMffwY+tI3m9rs0z8rhk7STnuGSeSe+XlOcl1/pcaue55KnGS2A5xr75+3H5f5E1i1Lb6rUWY4yvWMf6nNsuzxJYjmF+zLNGHOvTbU/MkYixto6KvdVrLcYY/5LyvORak57yLIHnUeNj39eus79XklvL2jwjj5rvWJ9ue2KOc2LsrrHGO04X8B0Ap5sZQYAAAQIECBAgQIAAAQIECBAgQIAAAQIEXobA/ZHj049fH+mheYvAD29+uq+f7vHL29+6Ie67MbrjawGJGAnTRB4zxEjkwHO5tHguFqnrtWuqPrN7wpPnvsDyqHutVqRuDPW57Mcsnok8unWRyCERI1GfiTx4luJyzOAxQw4lkqjRWdbSzaM7nudyjdUZz7xH19T1nt0TnvN57mf0ch8lfjfvOwBexn0eqyRAgAABAgQIECBAgAABAgQIECBAgACBFybw/17Yep9suT7z6snoTUyAAAEC/xDwmvQPEA8JECBA4EkEvB49CbtJCRAgQOCAgNekAyieuhkBXwJ8M1tpIQQIECBAgAABAgQIECBAgAABAgQIECBwKwK+BPgZ7WR9W/faN3Y/o2VIlQABAgRuQMBr0g1soiUQIEDgBgS8Ht3AJloCAQIEbkTAa9KNbKRlHBTwHQAHWeZ98u2vv7eT68bojq8FJGIk/nJO5DFDjEQOPJdLi+dikbpeu6bqM78n+xFPf9Td01lqK5GH+tyvn25t8JzPM3GddOsikUMiRqI+E3ncimdZJI4ZPGbIoSwTNTrLWrp5dMfz3L86eeY9uqau9/ye7Ec8/VF3T2vGW4mRqM/Td8CINQE3ANZkPE+AAAECBAgQIECAAAECBAgQIECAAAECBJ6xgBsAV9y877/79oqzmYoAAQIECBAgQIAAAQIECBAgQIAAAQIEXrKAGwAvefetnQABAgQIECBAgAABAgQIECBAgAABAgRuVsANgJvdWgsjQIAAAQIECBAgQIAAAQIECBAgQIAAgZcs8P9e8uKvufZvvv7qzkcAZcXL1JET4JmzrEg8eWYFstHUJ8+sQDaa+uSZFchGU588swL5aGo0a8qTZ1YgG0198swKZKOpz6xnN9pH9++Px4J89vqTuz/++vOxLto2CrDcCKUbAQIECBAgQIAAAQIECBAgQIAAAQIEXrhA4vfJPgLohRfRc17+mx9/vqsfR0aAZ8ZxROE5JDJ/8sw4inIZAfWZdeXJMyuQjaY+s56i5QXUaNaUJ8+sQDaa+sx6ipYVUJ9Zz240NwC6ghvHV+Enjre//t4O043RHV8LSMRoQ4TySKylG6M7PmFZMRJ5zBAjkUPCNJHHLcXomt6SRXctif8Z6+ZwS39ndGvz1iwStdE1TeRwSzG6noka5bm/C12P7vjEniZiJF6PEnkkYsyyJ7WW7jHLWrp5dMd3Hcf4RB4zxEjkMEw6fybyuKUYHcsae0sW3bUkXpO6OdzannTr0/icgBsAOUuRCBAgQIAAAQIECBAgQIAAAQIECBAgQIDANAK+A+BKW1F3EutLgP/9n/9+mPHLLz5/OF+7Q7i1vYLMEONYDuk837179+D36tWrhz+3el07z4fkdv4za57netbSDpmOda611/Ojz6Hxu+2zxDglz7TnrsexPI618yyBfv2N+q1Yx8yPtSdiHJtjt73qc/zdWXPXMdaz2+/vlr//m2qvaM9hjlPyXLve12IMy7X2en70OWZ1yRgjh0vOcWitp3oeilHP7R5jLU/pWflszSOZ5yU9a02Hch3rXGuv50efQ+N322eJMfJ8Cs9dj5FHPbd7zOA5cqi8DuV5qP2fnjV29DsU45T26nupGCPHS85x7lr/aTpyvZTFuXnWuN1j1jxv3bP24FBtjP1Ya6/nR59D43fbd2Oc67kbo853j615nJLnbvw63zpH9T02T7d9dw6eWe/y9G+kw586Mq6B3fqr891j9Bk1PurTlwHvKp13nvgOgLv6EuDHjk8/fv1Ys7aNAj+8+ek+YfnL2982zrjerRujO74yS8Qo0/rpHIk8ZoiRyIHnUkk8F4s6S3h0Y6jP7J7w5LkvsDzqXqsVqRtDfS77MYtnIo9uXSRySMRI1GciD56luBwzeMyQQ4kkanSWtXTz6I7nuVxjdcYz79E1db1n94TnfJ77Gb3cR4nfJ/sIoPNuvhhFgAABAgQIECBAgAABAgQIECBAgAABAgSmFnADYOrtkRwBAgQIECBAgAABAgQIECBAgAABAgQIEDhPwHcAnOd21qjIZzadNbNBBAgQIECAAAECBAgQIECAAAECBAgQIPCcBBK/T/YOgOe043IlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIbBdwA2AjV7fbmx5+7IR7Gj2/T7gTrxuiOr9wTMcq065rIY4YYiRx4LlcVz8Uidb12TdVndk948twXWB51r9WK1I2hPpf9mMUzkUe3LhI5JGIk6jORB89SXI4ZPGbIoUQSNTrLWrp5dMfzXK6xOuOZ9+iaut6ze8JzPs/9jDzqCLgB0NEzlgABAgQIECBAgAABAgQIECBAgAABAgQITCrgBsCkGyMtAgQIECBAgAABAgQIECBAgAABAgQIECDQEXADoKNnLAECBAgQIECAAAECBAgQIECAAAECBAgQmFTADYArbsy/vvu/K85mKgIECBAgQIAAAQIECBAgQIAAAQIECBB4yQJuALzk3bd2AgQIECBAgAABAgQIECBAgAABAgQIELhZgY/u3x+Pre6z15/c/fHXn4910UaAAAECBAgQIECAAAECBAgQIECAAAECBAgEBRK/m/cOgOCGCEWAAAECBAgQIECAAAECBAgQIECAAAECBGYRcANglp2Qx8kCb378+a5+HBkBnhnHEYXnkMj8yTPjKMplBNRn1pUnz6xANpr6zHqKlhdQo1lTnjyzAtlo6jPrKVpWQH1mPbvR3ADoCm4cnyr8t7/+vnHG9W7dGN3xlVkixvoKt7ck8pghRiKH7WrrPRN5zBAjkcO60vaWRB63FGO73OGet2TRXUviNambQ+3SLcU4XHXbn70li8Ratssd7pnI4ZZiHFY67dmuR3d8ZTtLjNPkDvfurqU7fhbPxOvRLGuZZU8OV9xpz86ylm4e3fGnqa33TuQxQ4xEDutK21sSedxSjO1yh3vekkV3LYnXpG4OtUu3FONw1Xn2KQTcAHgKdXMSIECAAAECBAgQIECAAAECBAgQIECAAIELC/gS4AsDj/B1J7GOV69ejafuvvzi84fztbt7W9sryAwxjuUgz4ftvrl9X9vXUb9r7fX86KN2FouEF8+s59qejPpda6/nR59r7MmxOXbb3717t/d6dEquu3Fq3DhmWmvlNEOea3kMq7X2en70ObaOS8YYOVxyjmuv9Sk9T1nrc8lzrTbUTsksx/C4xr5eY45a2aF5xjpPaa/Xozqe27+Rjq211jT6HLLaba/zY32OtSdiXGMOeS51kbC4ZIxRv5eco2KPea5Rf9eYI+Elz6UuruG56+3fSMdfj87Zk3Gd11jHeQKJLwG+uz9yfPrx6yM9NG8R+OHNT/f10z1+eftbN8R9N0Z3fC0gESNhmshjhhiJHHgulxbPxSJ1vXZN1Wd2T3jy3BdYHnWv1YrUjaE+l/2YxTORR7cuEjkkYiTqM5EHz1Jcjhk8ZsihRBI1Ostaunl0x/NcrrE645n36Jq63rN7wnM+z/2MXu6jxO/mfQTQeTdfjCJAgAABAgQIECBAgAABAgQIECBAgAABAlMLuAEw9fZIjgABAgQIECBAgAABAgQIECBAgAABAgQInCfgOwDOczOKAAECBAgQIECAAAECBAgQIECAAAECBAhcTCDxHQDeAXCx7RGYAAECBAgQIECAAAECBAgQIECAAAECBAg8nYAbAFeyf/Pjz3f10z12v6H83FjdGN3xlXciRsI0kccMMRI58FyuKJ6LRep67Zqqz+ye8OS5L7A86l6rFakbQ30u+zGLZyKPbl0kckjESNRnIg+epbgcM3jMkEOJJGp0lrV08+iO57lcY3XGM+/RNXW9Z/eE53ye+xl51BFwA6CjZywBAgQIECBAgAABAgQIECBAgAABAgQIEJhUwA2ASTdGWgQIECBAgAABAgQIECBAgAABAgQIECBAoCPgBkBHz1gCBAgQIECAAAECBAgQIECAAAECBAgQIDCpgBsAV9yY77/79oqzmYoAAQIECBAgQIAAAQIECBAgQIAAAQIEXrKAGwAvefetnQABAgQIECBAgAABAgQIECBAgAABAgRuVuCj+/fHY6v77PUnd3/89edjXbRtFGC5EUo3AgQIECBAgAABAgQIECBAgAABAgQIvHCBxO+TvQPghReR5RMgQIAAAQIECBAgQIAAAQIECBAgQIDAbQq4AXClfX3z48+Rmd7++ns7TjdGd3wtIBGjTLuuiTxmiJHIgedyafFcLFLXa9dUfWb3hCfPfYHlUfdarUjdGOpz2Y9ZPBN5dOsikUMiRqI+E3nwLMXlmMFjhhxKJFGjs6ylm0d3PM/lGqsznnmPrqnrPbsnPOfz3M/Io46AGwAdPWMJECBAgAABAgQIECBAgAABAgQIECBAgMCkAm4ATLox0iJAgAABAgQIECBAgAABAgQIECBAgAABAh0BXwLc0TthbL2V6Pvvvr3793/++2HUl198/nC+9ravre0VZIYYx3KQ58N2323d1+fiubavY51r7fX86PNc1irPZc8S+/pcPNfWOup3rb2eH32usdZjc+y2v3v37u7Vq1eV4odja667cT4Mfn+ydXyN6cY4Nj4xxyVjDKtLzlGxxzzneo3xs+d5ylrPtThljoTXc8lzba1qp2SWY3hcY1+vMUet7NA8Y52ntNfrUR27r0kjzqE5qu/W9up7qRgjh0vOUbHHPMfWkcjjGnPIc9nThMUlY4zau+QcFXvMc436u8YcCS95LnVxDc9db/9GOv66ec6ejOu8xjrOE0h8CfDd/ZHj049fH+mheYvAD29+uk9Y/vL2ty3TPdqnG6M7vpJLxCjT+ukciTxmiJHIgedSSTwXizpLeHRjqM/snvDkuS+wPOpeqxWpG0N9Lvsxi2cij25dJHJIxEjUZyIPnqW4HDN4zJBDiSRqdJa1dPPojue5XGN1xjPv0TV1vWf3hOd8nvsZvdxHid8n+wig826+GEWAAAECBAgQIECAAAECBAgQIECAAAECBKYW8BFAV9yeyFs2rpjv7FPVxyrV8c3XX82e6rPIj2d2m3jyzAqINrOA6z27Ozx5ZgWy0dRn1lO0vIAazZry5JkVyEZTn1lP0bIC6jPnmfh9shsAuf04GimxYUcn0YEAAQIECBAgQIAAAQIECBAgQIAAAQIEnr1A4vfJPgLo2ZeBBRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgf8VcAPgf00u8sx460s3+O43lJ8bqxujO77yTsQo065rIo8ZYiRy4LlcUTwXi9T12jVVn9k94clzX2B51L1WK1I3hvpc9mMWz0Qe3bpI5JCIkajPRB48S3E5ZvCYIYcSSdToLGvp5tEdz3O5xuqMZ96ja+p6z+4Jz/k89zPyqCPgBkBHz1gCBAgQIECAAAECBAgQIECAAAECBAgQIDCpgBsAk26MtAgQIECAAAECBAgQIECAAAECBAgQIECAQEfADYCOnrEECBAgQIAAAQIECBAgQIAAAQIECBAgQGBSATcAJt0YaREgQIAAAQIECBAgQIAAAQIECBAgQIAAgY6AGwAdPWMJECBAgAABAgQIECBAgAABAgQIECBAgMCkAh/dvz8ey+2z15/c/fHXn4910UaAAAECBAgQIECAAAECBAgQIECAAAECBAgEBRK/m/cOgOCGCEWAAAECBAgQIECAAAECBAgQ+P/t3Q20ZVV9GPBNkVVqq0UZE5pF6gwTLamFldFqSGhiFCWQghhYEK0LAwQkRFpJiSCIhhA0gmBYS0pLhjADFDUgiAxfCXHIR5MmGiSFfrCUycxK/KDJEKaxaUhweH37zZx37525951z7/7f88678ztrzbxzz977v//7t/edB2e/dw8BAgQIECDQFQEbAC3NxIaNt6X8p/TYdN+DpSFSaYzS9nkAETEiTCPy6EKMiBx49t5aPHsWUe/XUlPrM3ZOePIcFOi9Kn2v5kilMazP3nx0xTMij9J1EZFDRIyI9RmRB8+s2Du64NGFHLJIxBrtylhK8yhtz7P3HstnPOM9Sk2932PnhGf3PAcz8qpEwAZAiZ62BAgQIECAAAECBAgQIECAAAECBAgQIECgowIv6mhe0iJAgAABAgQIECBAgAABAgQIECBAYA+B/Jng1XHl5R/27M4KY8KvPCeE02zFCHgIcEtTlX+VKB+rVq1a7PHEE45fOB/1a19Ny3OQLsSoyyE6z+3bty/4VaZNvdrOcyHJvr+6mueknqPmtRrnqPJ8vaozi3MS7TmOF8/e2prm+qvW7zT7iJz3/nWR12f1b2fuIx/VePrr7SrZ9XdUeY62EvoYJ89R7/dRMSrLUeX5elWnzmqaMaocptnHsLGO6zksRr7Wf1RjWU7PnE/TPCLznKZnHtOwXKtxjirP16s6w9r3l3clRpXncnj2e1R55Gv9Rxc8qxxyXsPyHFa+p2duW9UbFmOc8lx3WjGqHKfZx6Rj3dO0ynVaFpPmmdv1H13Nc9Y98xwMWxvVfIwqz9erOsPa95f3x5jUsz9GPu8/muYxTp798fN50z5y3bp+SsurPi44/2fy6eJx3fU3dDLPxQT7TrrkWc3HMM+cctNcqzh9w1w4bdo+Vy6NUdc+oo9xYlTv9zPPOD03cxQIRDwEOM3VHIe9cnVNDcVNBG7ecOtc/lN63LvpgdIQc6UxStvnAUTEiDCNyKMLMSJy4Nl7a/HsWUS9X0tNrc/YOeHJc1Cg96r0vZojlcawPnvz0RXPiDxK10VEDhExItZnRB48s2Lv6IJHF3LIIhFrtCtjKc2jtD3P3nssn/GM9ygxzffq+v8MZtf8VUkOVS+zEKPfsuQ+6CxYRM1rxPejKpd9/WvJmqzsPAOgYAdGUwIECBAgQIAAAQIECBAgQIAAAQIECBAg0FUBHwHU1ZmRV61A9bFKfp2olqpRBZ6NmBpX4tmYqlFFno2YVFomAeszFp4nz1iB2GjWZ6ynaPEC1misKU+esQJx0fo/sz5H3bJta1zwfTASz/hJ9+9nnGnERwDZAIibD5EIECBAgAABAgQIECBAgAABAgQITFXADetYXp6xnqLFCkRsAPgIoNg5mXq0UQ/1GKfj0hil7XOuETHGGfOouhF5dCFGRA6jjMa5HpFHF2JE5DCO26i6EXnMUoxRTk2vz5JFxFiauo2qF5HDLMUY5dT0+ixZRIylqduoehE5zFKMUU7jXC/1KG2fc+1KjHHcRtUtHUtpe557z0ypaWn7qDnZe2TjX+nKWErzKG0/vtzwFhF5dCFGRA7Dhca7GpHHLMUYT2/v2rNkETGWvYXGuxKRwyzFGE9P7WkK2ACYpm5f7PyrL9Wvv/RddlogwLQAb0hTnkNQCi7xLMAb0pTnEJSCSzwL8IY05TkEpeASzwK8IU15DkEpuMSzAG9IU55DUAovMS0E3KM5zz1ACl/yLATUnMAKEvB+79Zk2QDo1nzIhgABAgQIECBAgAABAgQIECBAgAABAgQIhAjYAAhhFIQAAQIECBAgQIAAAQIECBAgQIAAAQIECHRLwAZAt+ZDNgQIECBAgAABAgQIECBAgAABAgQIECBAIETABkAIoyAECBAgQIAAAQIECBAgQIAAAQIECBAgQKBbAvvNzR9LpbR29Zq0ZdvWpaooayCQH36RjzPPOL1BbVUIECBAgMD0BHxPmp6tyAQIECDQXMD3o+ZWahIgQKBfIN+r6z/ct+vXGP+c5/hmWrQnEHFv3gZAe/OVIiasxXR1RYAAAQIECBAgQIAAAQIECBAg0DEBN6xjJ4RnrKdosQIR95N9BFDsnEw92qb7HizuozRGafs8gIgY+SeGqp8amhQlIo8uxIjIgWdvFfHsWeSzCI/SGNZn/JwMRhz/Vemc5h5nJYb1Obh+SueVZ/c8I96vpesiIoeIGBHrMyKPWfHMFhFHFzy6kEO2jFijXRlLaR6l7XkOvjt5xntEmA5mNf6riBxmKcb4goMtZsmidCwR348Gdb0qEbABUKI3Rtu88B0ECBAgQKALAv5jrAuzIAcCBAgQ8P3IGiBAgAABAgQITF/gRdPvQg8ECBAgQIAAAQIECBAgQIAAAQIECExDYM+PsBmnjwvOH6f28LqzFGP4CF0lsLIFPAOgpfnLP91y5eUfTpddfsVij9UDgUf9dkDT8hywNMao9jl20zxGxajaR+QZEWOl59m1ORnl2bU8rZ3eeznCIiLGSlk7s5LnUuOo3q9L1an+LR9Vp2n5NNdOlUNEHxExRllV3hF9RMRYKXlOc6zWTtbtHZXHqLVRV54j1dVpWp5jTZpHXR9dy3OaY60sIvooiVGZj5rTqrykj8ixyrP3Xu76nETOe8RYrR1rJ6+j/qNao6PWRtPyHDPHyPeXHNMTqO7d5XkZNWe596bzNipG1T7HqqtTWh7RxyQx+seY2zvGF/AMgPHNtCBAgAABAgQIECBAgAABAgQIECBAgAABAvuEgN8AaHGa845N3kUs2f3KD+E48YTji7IujVHaPicfEaPa/VzpnhEePAffEqUepe1zNtZn7Jzw5Dko0HsV8X4tjWF99uYjn3XBMyKP0nFE5BARI2J9RuTBMyv2ji54dCGHrqzPPDOlHqXtI3LIMSJMuzKW0jxK2/PMAr2DZ88in0V4lMQo+cifwZF4NUxgy7atwy7XXiuZ0yr4rMSI+H5UmezrXyN+A8AzAPb1VWT8BAgQIECAAAECBAgQIECAAAECK0Yg36COuME6Kzeb88SVjiXCc8UsIInucwJ/b58b8TIPuOSn1Zc5dd0TIECAAAECBAgQIECAAAECBAgQIECAwAoS8BFALU5WxK9stJiurggQIECAAAECBAgQIECAAAECBAgQIEBgmQQi7if7DYBlmjzdEiBAgAABAgQIECBAgAABAgQIECBAgACBaQrYAJim7pDY1WeKDSlqdCl/plnpURqjtH3OPyJGtpwFzwgPnoPvilKP0vY5G+szdk548hwU6L2KeL+WxrA+e/ORz7rgGZFH6TgicoiIEbE+I/LgmRV7Rxc8upBDV9ZnnplSj9L2ETnkGBGmXRlLaR6l7Xlmgd7Bs2eRzyI8SmMsvN9vvi49cvMn0wfedmTKPyW868+R6e0XfTJt2Lw17RxMe69X4+WwM+3YfGk6erGfqr/+rz+SPrD5L/bqp+7CeHkMj1Yaw7+fg65d8BzMyKsSAQ8BLtHTlgABAgQIECBAgAABAgQIECBAgEDLAi8889/TA5/9fPrjb/7tHj1/Kz1xxyfm/3wy3XTslen2/3haWr3/HlUmebnzq+mz19+Xnl6q7aHHp5944yuWqqGMAIFlEPAbAMuArksCBAgQIECAAAECBAgQIECAAAECEwnseDjdt/GuITf/+6M9n57+jcvSu867I22r+1WA/mZDz+d/+v+3b00bvvytoaW7Lh6U3vyzp6d1EZsNS/SiiACB8QVsAIxvpgUBAgQIECBAgAABAgQIECBAgACBZRD4f+mxG69Jj8/fi/9Hr/rBdNnNm9NXtm1NW/KfP747ffy8Y9Ihi1nlTYBfSh+55xuLVyY62f3T/88cc236YtXX7q/XXX/Drr63PZbWn/JdE4XXiACB6QrYAJiur+gECBAgQIAAAQIECBAgQIAAAQIEYgSeeSjdcNM30yFHn57Ofddx6cw3r0mLP3R/0Lp08sU3pvvvOj8dcUDV3Y60+Zb707bq5dhfq5/+/yfprPOPSweP3V4DAgSWW8AGwHLPgP4JECBAgAABAgQIECBAgAABAgQINBB4/r/9YfrSD1+e3vnWw9I/GFp//3TQ696brr3oqLS4B/CVp9LW54dWrr+484/Tr3z4cymd9nPpPeteXF9fDQIEOiew39z8sVRW+Qni+deIHOUCLMsNRSBAgAABAgQIECBAgAABAgQI7JsC8x//c9XPpYePvSZdVHcz/pm70zlHXZg25xv/B56WbnriqvSmxR2Bpno70zN3nZeOvvDhtLB/cMCR6dQLT0j/7NVvSe/u/82DpuHUI0BgbIGI+8kvGrtXDQh0RGDDxtsWMjnzjNM7ktHKToNn7Pzx5BkrIFqXBbzfY2eHJ89Ygdho1mesp2jxAtZorClPnrECEdFenNZdfENaNx+qdn2+9GXp4PzZQPnO/aqXp4Mm+QyQ+Z/+/9Vf/q1dN/9z+s8/nu782OPzJx9NVx5yTDr3/e9N7zllXToolzkI9AnUrs++uk6nLzDJ23/6Wc1oD5ddfsXiP9CTDnHTfQ9O2nSxXWmM0vY5kYgYiwMqOInIowsxInIoYFxsGpFHF2JE5LCIUnASkccsxSigXGg6SxalY8n/MVb9B9mkrqU55H5nKcakjlW7WbKIGEvlUvK1NI/S9jn3rsQocazalo6ltD3PaiZ6X0tNS9tHzEnE96OIPCJidMGztzrKzroyltI8StuXKfZaR+TRhRgROfRUJj+LyGOWYiwp+VfPpmd25hoHpENPfEs6cvFBAb1WS1vM//T/PTemm7824rODnv5CuvHCk9Mbfui89OiOhY56gcc625l+7ZOXp5uuOjsdPf8pJPmnnRf+HHV2uvrmR9K2oaGfS9s2/+d040UnpcMPvzg9Mp/iwlh2bk2PrL84vf1VVZwfSudc8/AeMeafafDYPbva9vX17kuvS7+6+wdNx0q/r/LSnn0VlzidpRhLDFNRywI2AFoG1x0BAgQIECBAgAABAgQIECBAgACBaQrs/NOvpq8s3Ltfk/71sd/be1Bw4073Twef8itvSggzAAAmjklEQVTpyfmPBd+y7Y/SZ6/9cLrkg+9Jbz5k8HOEdv7ZQ+m04z6UHplkE2D+hv1vXnpy+tB1j6Sn1rw33b/Q11Pp0c9dmt6cfifdeMVZ6Zij/226e+tzu7Le8Vi6e/0vzX+00ZHpmLM+lK6+4/HF30544c9/P/300T+azv7IHemJxT2Lr6XN178nHXfq+rRlYSPhmfToVaemo378ZwfapvnNjN/71H9KG3/v6TR0v6GxmYoEuingGQAtzkv+CZdVq1Yt9njiCccvng/b4avKh5XlhlV5Pq+rU1ceEaONPvrz3L59e365aFp51OVRV97fx0IHfX817WOaMaocovuY1HNUHtPKs286Fk6rftqY13H6iPbMg2061nHyXE7P3PewXKtx9pcvp2d/Hvm8/6hyHTaOXK9pea5bGmOc9tmz//vROLmO00+OWx2VRX5dGqOufUQf48QYtT5HxYi0GNVHvl7104ZXZB/jeo4z1sg8c7/9R+Wdr9X1U1o+Th/T9ByVR6TFqD7y9aqfOs+IGFUfy+E5zlirPHOb/qOyytfq6tSVTxpjWA57eubYVb26POrKJ82zP4dRMaocR5X3x2g7zz1Nq1zr8qgr78pY285zUs9RXtV8jCpfzrWT+66OaeUZ7ZnzrXKtWxt15TlWXZ268ogY4/SxtOffpm33XJ2u+81vpv1f8+70C+cdld5Zcw8q59/MM//0/W3pkp//RPrin+2+MT/fdv/VP54e/MIn0trdv2lQN5ZN925IX1x/ffrU/3xpevP7zktvO+wlOYXdOex69sAPzD97YOGG/Mvfmi64/Nj015+6Jj34rZemb/+Pr6anF2rP/3XAD6Sfev/a9KXPb02rf+it6Uf+xXekk054Q3ps/SXppz7ycPo/C/VenP756e9NR3/11nTHt16brr3+E+lNaw5Mm+69JT3xmZvTxt//01397H9k+jdXvie94SW7fl66mcfKWzsVXfW16Thz/dp53f3JJdX69LHdlfLkXyOeAZDyQ4CXOg575eqlipWNIXDzhlvn8p+S495ND5Q0X2hbGqO0fU4iIsaseEZ48FxY2ot/lXqUts+JWJ+L07FwUmrKk+egQO9V6drKkUpjWJ+9+eiKZ0QepesiIoeIGBHrMyIPnlmxd3TBows5dGV95pkp9ShtH5FDjhFh2pWxlOZR2p5nFugdPHsW+SzCozTGku/3Z39j7uLvf9XcYd/zjrn1T/3NYPJ9r4py+PafzD18ydvmXjV/3zDfOzzsld83d/Znv94XfanTv5778seOnW/zqrkffP9vzH1myL2ub3/5Y3M/vBj71Ln1f/J3iwEHy46YO+mS++d+9fN73i/7+txdZ33f7txyfv9q7tzPPjX37cUou0++/UdzVx09b7XQ1xFzF3/h2T1rNH5d5Lm7l1mJseT6bCyqYhaIuDfvI4Am34DRkgABAgQIECBAgAABAgQIECBAgECHBJ5LW+68Od3z9IFp3UU/n85ce+B0ctt/TXrLR29KZx1VfdLFjrT5lvvTtia9PfNQuuGmr8zXXJNOeufR6cVD2uy/7n3p5g8eNf8Eg/kf8n/tW9Ob/mnvo4f2P+jl6WVVmwOPT+/7hR9Lr9jrDud3pjf+2OsX2ueqB552RfrkKWv3/iik/dem1//gwbujPZee3PLnVWRfCcyMwF5vj5kZmYEQIECAAAECBAgQIECAAAECBAgQ2IcEdm65LV189aPp4GMvS9ecdfjeN7xDLV6RXvPjp6RTq+cC/K8vpS/vevLwEr3Mf7zPbz2Ufnfhc/r/cXr5Qb0b+4ONDkxrz/n0wjMInrz7nMWPFlqo89KD0ytGNVsMsn966ctetjj+5558Kn19scwJgX1LwDMA9q35nqnR5mcq5MPnicVMK88YxyoKz0oi5ivPGEdRpiNgfca68uQZKxAbzfqM9RQtXsAajTXlyTNWIDba0PW588l006mnpWu+/ZPp9lsvSK87aPcH8sd2vUe0XZ/Xf/T85/U/n16fLnnk9nT2mqXuzu9Ij1x0fDr7jvwp/k3q79Fdfvn8I+kDR5yV7syPIDjwtHTTE1elNw3p8vnNF6fvO+uOtPCkgiMvTV+495y0OrcfOPrzOTAd8cHPp3vOefVADS/GFxi6PscPo8W8QMQzAF5EksBKFXDjP3bmePKMFYiNZn3GeooWK2B98owViI1mffKMFRCt6wLe87EzxJNnrEBstL3X5zPp0WsuTdd8443po59+b0s3//OY9k8Hv/b16fD0cHqi0RD/PG15ckejmiqtXIG91+fKHcssZO4jgFqcxbz7Ve2ATdrtqKdtjxOvNEZp+5xrRIxxxjyqbkQeXYgRkcMoo3GuR+TRhRgROYzjNqpuRB6zFGOUU9Prs2RROpZZ+X6U577UIipG03U4ql5XxtGVPEY5jXO9dCyl7XOuXYkxjtuouqVjKW3Pc++ZKTUtbR8xJxHfjyLyiIjRBc+9V8lkV7oyltI8SttPprd3q4g8uhAjIoe9dca/EpHHLMXoCT6Xtt11efp3N/399HO3fzydvKbZ5/6HWRz6Penw3OUBB6WXv3ScW41fTX/45b/o0H8z7eyRTnAW5jlB3/1NupJHf07Ol1dgnHfl8maqdwJ7CET9D8MeYffZlzxjp54nz1gB0bos4P0eOzs8ecYKxEazPmM9RYsXsEZjTXnyjBWIjdZbnzvTjs1XpHd94OvppM9cn86e1kN/l0r/r55NCx/9/51r05rajx36jrT28IN2R9uRfveBP0j/d6nYC2XfSJ9f/+vpmdp6KnRFoLc+u5LRvp2HDYB9e/6NngABAgQIECBAgAABAgQIECBAYEUKvJB2PHpdOuNnnpy/+b8+XfS6g5dhFC/sfqjvS9K6nzwpHVn72IF/mNa86rsX83z+d+5MX/zff7f4etjJzsc+nT79l6tStW0wrI5rBAiMFrABMNpGCQECBAgQIECAAAECBAgQIECAAIEOCryQ/uZPN6cz3nFPOuQjH08XLnnz/7m0Zf170k/f9Y34cbzwzfS52/8gPX/ou9IHzzp8/okAdccB6bv/5evSoVW15/8g3b/xofTojhEfvzP/YOMNv/h76bXHfm+D2FVQXwkQ6BewAdCv4ZwAAQIECBAgQIAAAQIECBAgQIBApwV2Ltz8v/2Wx9MhH9uY/sMpa0ffHN/xWLr7qvPTu69O6dgf+c7gUT2T/uTe29M1T7wmXXLL+9K6+rv/C/3vv+709L5jej/Pv/PPHkqnHXduuvqux1Lv8cDzH2302D3pxksuTr+cjk+nHPni4NyFI7DvCLxo3xmqkRIgQIAAAQIECBAgQIAAAQIECBBYyQLzN8bnP/bn9lt+Jz09/0PzT1/4lvTqC+vHc8Ax16Y3Htx3h37Hf033XvXv0wXn/0w64Mjz0+23XpBe1/f5/Tu3rE8/cdxH02PPzz/b98h3pl/8hQvTqeuqjxiaf+jw5jvSHbevTzf+1ovSuXeM++yB70onX3t1+uJx7013Pj3fQT6e/kK68cL8Z9fLxb8POCpd8tDpaW1f6ulrT6Unn9td47mtacvXnk97b23sTH/17LNpxO8VLIYfPHkhPfuX31po09/dYB2vCKw8gf3m5o+l0l67ek3asm3rUlWUESBAgAABAgQIECBAgAABAgQIECAwVYH5G+93vT+968L70tNj9XNQevO196f1p3zX7lbPp23r35WO+ciXdr8+MB3xwc+ne855dS/qM3enc466MG3efX++V1CdHZAOOea8dOVl56U3rTmwujjW151bH0gfft8H0mce/9bwdgesS+fu+WyDnVvTb37ognT+px5Pu1J7STrivBvTxot/YPAZAfMbHFe/+9x0YxX7gCPTO264Ll3x1jV9vy2xazPljHdcn56oxnnICenjn/54OnnCMQ0fiKsEJheIuDdvA2Byfy0JECBAgAABAgQIECBAgAABAgQItCOwdX16+5s+mp4Yt7dDfzp99rcvHvyInsUb5M/N38h/f7r+2rPSur7fAEjzPwe/47FN6dc+vSH98h3Vzfb5judvpJ964dvTG77/benkxd8IGDehvvrzN/QfueW+9Ov3rE93VjfrDzkmnftTJ6S3nnpiX057blr0xVg4rTYxUrrpbSelX3q8+hWBPeu9Pl3yyO3p7EP/S/rAEWelO0dVO/LS9IV7z0mr92zuNYGWBWwAtAxe2l3EhJXmMEvtN2y8bWE4Z55x+iwNa9nGwjOWnifPWAHRuizg/R47Ozx5xgrERrM+Yz1FixewRmNNefKMFYiNZn3GeooWK2B9xnlG3E/2EOC4+WgUqXoDNKo8pNKm+x4ccnW8S6UxStvnbCNijDfq4bUj8uhCjIgchguNdzUijy7EiMhhPLnhtSPymKUYw5WaX50li9Kx5O9Fs/D9KM9+qUVUjOYrcXjNroyjK3kMVxrvaulYStvnbLsSYzy54bVLx1Lanufe81JqWto+Yk4ivh9F5BERowuee6+Sya50ZSyleZS2n0xv71YReXQhRkQOe+uMfyUij1mKMb7gYItZsigdS8T3pNIc8uzMUozB1ebVcgrYAFhOfX0TIECAAAECBAgQIECAAAECBAgQIECAAIEpCXgGwJRgh4XNv7Jx3fU3LBadeMLxi+fDdviq8mFluWFVns/r6tSVR8Roo4/+PLdv355fplWrVi18rTzq8qgrz8Hq6tSVTzNGNc7oPib1HJXHtPLM/fUfVT9tzMk4fUR75jE3Hes4efZbjtNHrlvXT135qBjVOPvLl9OzP4983n9UudaNta48x6yrE1mePat/O6vxRI2lLs82xhrRxzgxRq3PUTEq61Hl+XpVpw3PiDwi8xzXcxyvyDxzv/1HNWf5Wl0/peXj9DFNz1F5RFqM6iNfr/qp84yIUfWxHJ7jjLXKM7fpPyqrfK2uTl35pDGG5bCnZ45d1avLo6580jz7cxgVo8pxVHl/jLbz3NO0yrUuj7ryroy17Twn9RzlVc3HqPLlXDu57+qYVp7RnjnfKte6tVFXnmPV1akrj4gxTh/L6TlqrNV8jCrP16s644w1t+s/msao66O/PHv6f6ThnzpSeec56Ddbak6q9elju/uVJjuP+AigNFdzHPbK1TU1FDcVyJY3b7i1afWh9e7d9MDQ6+NcLI1R2j7nGhEjW86CZ4QHz8F3QKlHafucjfUZOyc8eQ4K9F5FvF9LY1ifvfnIZ13wjMijdBwROUTEiFifEXnwzIq9owseXcihK+szz0ypR2n7iBxyjAjTroylNI/S9jyzQO/g2bPIZxEepTG832PnhGf3PAcz2ndfRdyb9xFAk22+aEWAAAECBAgQIECAAAECBAgQIECAAAECBDotYAOg09MjOQIECBAgQIAAAQIECBAgQIAAAQIECBAgMJmAZwBM5jZRq5DPbJqoZ40IECBAgAABAgQIECBAgAABAgQIECBAYCUJRNxP9hsAK2nG5UqAAAECBAgQIECAAAECBAgQIECAAAECBBoK2ABoCBVVbcPG24pCjXra9jhBS2OUts+5RsTIlrPgGeHBc/AdUOpR2j5nY33GzglPnoMCvVcR79fSGNZnbz7yWRc8I/IoHUdEDhExItZnRB48s2Lv6IJHF3LoyvrMM1PqUdo+IoccI8K0K2MpzaO0Pc8s0Dt49izyWYRHaQzv99g54dk9z8GMvCoRsAFQoqctAQIECBAgQIAAAQIECBAgQIAAAQIECBDoqIANgI5OjLQIECBAgAABAgQIECBAgAABAgQIECBAgECJgA2AEj1tCRAgQIAAAQIECBAgQIAAAQIECBAgQIBARwVsAHR0YqRFgAABAgQIECBAgAABAgQIECBAgAABAgRKBGwAlOhpS4AAAQIECBAgQIAAAQIECBAgQIAAAQIEOiqw39z8sVRua1evSVu2bV2qirKGAiwbQqlGgAABAgQIECBAgAABAgQIECBAgACBfVwg4n6y3wDYxxeR4RMgQIAAAQIECBAgQIAAAQIECBAgQIDAbArYAJjNed0nRrVh420p/3HECPCMcayi8KwkYr7yjHEUZToC1mesK0+esQKx0azPWE/R4gWs0VhTnjxjBWKjWZ+xnqLFClifsZ6l0WwAlAqO2T6/AUqOTfc9WNJ8oW1pjNL2OYmIGMUQQXlEjKU0Rmn7CMscIyKPLsSIyCHCNCKPWYpRajpLFqVjifiPsdIcZunfjNK1OWsWEWujC6YR4+hKDJ49gYg56UWb/Cwij9IYpe3z6EtjRHw/isgjIkapRUQOOUbE0ZWxlOZR2j7CMseIyKMLMSJyiDCNyGOWYpSazpJF6VgivieV5jBL/2aUrk3tYwVsAMR6LhntssuvWLJcIQECBAgQIECAAAECBAgQIECAAAECBAgQiBLwEOAoyQZx8m7iqlWrFmueeMLxi+fDdgmr8mFluWFVns/r6tSVR8Roo499Kc9RY+3avK/0PHP+lWndGq4rH2UxTh8RMVZKnqPGWs3HqPK2PSPyaGNO6vroL9++ffvA96NxTPvj5HbVUc1bXXmuX1entDyij2nGqKym2UeOXfVT5xmRRxt9yLM3pxEW04xRrb1p9pFjV/20sf7a6CPCq8t5VvPVP878/Sgfw/4fqW4sdeX9/Sx00vdXlcukMar20+wjx676mTTPcWK00UeE10rJc9RYqzkdVT7OnE0zxkrJcxyvlbJ2Vkqeo9Zf19ZOnWd/uf9Hqv//tFHzvtR7sX9N5HqO8QUiHgKc5mqOw165uqaG4qYCN2+4dS7/KTnu3fRASfOFtqUxStvnJCJizIpnhAfPhaW9+FepR2n7nIj1uTgdCyelpjx5Dgr0XpWurRypNIb12ZuPrnhG5FG6LiJyiIgRsT4j8uCZFXtHFzy6kENX1meemVKP0vYROeQYEaZdGUtpHqXteWaB3sGzZ5HPIjxKY3i/x84Jz+55Dma0776KuDfvI4DG33jRggABAgQIECBAgAABAgQIECBAgAABAgQIdF7ABkDnp0iCBAgQIECAAAECBAgQIECAAAECBAgQIEBgfAHPABjfTAsCBAgQIECAAAECBAgQIECAAAECBAgQIDBVgYhnAPgNgKlOkeAECBAgQIAAAQIECBAgQIAAAQIECBAgQGB5BGwAtOi+YeNtKf8pOfqfUD5pnNIYpe1z3hExZsUzwoPn4Luh1KO0fc7G+oydE548BwV6ryLer6UxrM/efOSzLnhG5FE6jogcImJErM+IPHhmxd7RBY8u5NCV9ZlnptSjtH1EDjlGhGlXxlKaR2l7nlmgd/DsWeSzCI/SGN7vsXPCs3uegxl5VSJgA6BET1sCBAgQIECAAAECBAgQIECAAAECBAgQINBRARsAHZ0YaREgQIAAAQIECBAgQIAAAQIECBAgQIAAgRIBGwAletoSIECAAAECBAgQIECAAAECBAgQIECAAIGOCtgA6OjESIsAAQIECBAgQIAAAQIECBAgQIAAAQIECJQI2AAo0dOWAAECBAgQIECAAAECBAgQIECAAAECBAh0VGC/ufljqdzWrl6TtmzbulQVZQQIECBAgAABAgQIECBAgAABAgQIECBAgECgQMS9eb8BEDghQhEgQIAAAQIECBAgQIAAAQIECBAgQIAAga4I2ABocSY2bLwt5T8lx6b7HixpvtC2NEZp+5xERIxZ8Yzw4LmwtBf/KvUobZ8TsT4Xp2PhpNSUJ89Bgd6r0rWVI5XGsD5789EVz4g8StdFRA4RMSLWZ0QePLNi7+iCRxdy6Mr6zDNT6lHaPiKHHCPCtCtjKc2jtD3PLNA7ePYs8lmER2kM7/fYOeHZPc/BjLwqEbABUKKnLQECBAgQIECAAAECBAgQIECAAAECBAgQ6KiADYAWJ+bKyz/cYm+6IkCAAAECBAgQIECAAAECBAgQIECAAIF9WcBDgFuc/fzQhuuuv2GxxxNPOH7xfNivflXlw8pyw6o8n9fVqSuPiNFGH/tSnqPG2rV5X+l55vwr07o1XFc+ymKcPiJirJQ8R421mo9R5W17RuTRxpzU9dFfvn379rRq1ao8tMWjcu+vt1g4fxJVnmOuhD4i8hwVo7IcVZ6vV3XqrLoSQ569OYuYk5XiOWqs1fodVZ6vV3VWyljl2ZuzSee1mvP+9vn7UT76vydV9erM68r7+1nopO+vpn2MilG1H1Wer1d1ljPPcfKQZ2/Opjmv1bqYZh/jzPuoPFZKnuOM1RrfN9d43bz3l/t/pPr/Txv1b8ZS78X+f09yPcf4AhEPAU5zNcdhr1xdU0NxU4FsefOGW5tWH1rv3k0PDL0+zsXSGKXtc64RMbLlLHhGePAcfAeUepS2z9lYn7FzwpPnoEDvVcT7tTSG9dmbj3zWBc+IPErHEZFDRIyI9RmRB8+s2Du64NGFHLqyPvPMlHqUto/IIceIMO3KWErzKG3PMwv0Dp49i3wW4VEaw/s9dk54ds9zMKN991XEvXkfATT+xosWBAgQIECAAAECBAgQIECAAAECBAgQIECg8wI+AqjFKQr5lY0W8+16V/kJ7fk484zTu57qisiPZ+w08eQZKyBalwW832NnhyfPWIHYaNZnrKdo8QLWaKwpT56xArHRrM9YT9FiBazPOM+I+8k2AOLmozZSxITVdqICAQIECBAgQIAAAQIECBAgQIAAAQIECKx4gYj7yT4CaMUvAwMgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJ7C9gA2NtkqleqX4GZtJP+J5QvV4wu5JDHni1nwTOPpdS0tD3PLNA7ePYs8lmER2kM7/fYOeHJc1Cg96r0vZojlcaIWJ8ReZSOIyKHiBg8s2LvKJ3XrnjmEZWOpbR9RA48e2szwjPHiDDtwtqI8IgYB888E7sOnpVEnEepqfUZOyc8u+c5mJFXJQI2AEr0tCVAgAABAgQIECBAgAABAgQIECBAgAABAh0VsAHQ0YmRFgECBAgQIECAAAECBAgQIECAAAECBAgQKBGwAVCipy0BAgQIECBAgAABAgQIECBAgAABAgQIEOiogA2Ajk6MtAgQIECAAAECBAgQIECAAAECBAgQIECAQInAfnPzx1IB1q5ek7Zs27pUFWUNBbLlZZdfkc484/SGLVRbSiA/oCUfPJdSal7Gs7lVk5o8myg1r8OzuVWTmjybKDWvw7O5VZOaPJsoNa/Ds7lVk5o8myg1r8OzuVXTmkybSjWrx7OZU9NaPJtKNavHs5lT01o8m0o1q8ezmVOTWhH35m0ANJEOqhMxYUGpCEOAAAECBAgQIECAAAECBAgQIECAAAECHRaIuJ/sI4A6PMFSI0CAAAECBAgQIECAAAECBAgQIECAAAECkwrYAJhUbsJ21a/ATNg8bbrvwUmbLrYrjVHaPicSESNbzoJnhAfPxeW9cFLqUdo+J2F9xs4JT56DAr1XEe/X0hjWZ28+8lkXPCPyKB1HRA4RMSLWZ0QePLNi7+iCRxdy6Mr6zDNT6lHaPiKHHCPCtCtjKc2jtD3PLNA7ePYs8lmER2kM7/fYOeHZPc/BjLwqEbABUKKnLQECBAgQIECAAAECBAgQIECAAAECBAgQ6KiAZwC0ODHVQ4CrLquH1+ZdxmFH0/Lctgsx6nKQ565ZbjqvozxzlNIYVfuIOVkpeU5zrJGe8swC1vguhV1/V+tr1HuttLzqqzRO0/a5v2mNpcohoo+IGKPGmWNXuY6q07Q8Is+IGHXjiOgjIsZKzzMbNF0bbYx1VB9dy9Pa6a2bCIuIGCtl7ayUPKc5J9W/ORF9RMQYNScrJc9sUOVaN5a68ml6di3PaY61mo+IPiJitDHv08wzx65M68ZSVz7NPOtyzH3no65eVHnuq86jtDyij0liVEa5rWMyAc8AmMxNKwIECBAgQIAAAQIECBAgQIAAAQIECBAgMPMCfgNg5qfYAAkQIECAAAECBAgQIECAAAECBAgQIEBgpQn4DYCVNmPyJUCAAAECBAgQIECAAAECBAgQIECAAAECLQl4CHBL0LohQIAAAQIECBAgQIAAAQIECBAgQIAAAQJtCtgAaFNbXwQIECBAgAABAgQIECBAgAABAgQIECBAoCUBGwAtQeuGAAECBAgQIECAAAECBAgQIECAAAECBAi0KWADoE1tfREgQIAAAQIECBAgQIAAAQIECBAgQIAAgZYEbAC0BK0bAgQIECBAgAABAgQIECBAgAABAgQIECDQpoANgDa19UWAAAECBAgQIECAAAECBAgQIECAAAECBFoSsAHQErRuCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAmwI2ANrU1hcBAgQIECBAgAABAgQIECBAgAABAgQIEGhJwAZAS9C6IUCAAAECBAgQIECAAAECBAgQIECAAAECbQrYAGhTW18ECBAgQIAAAQIECBAgQIAAAQIECBAgQKAlARsALUHrhgABAgQIECBAgAABAgQIECBAgAABAgQItClgA6BNbX0RIECAAAECBAgQIECAAAECBAgQIECAAIGWBGwAtAStGwIECBAgQIAAAQIECBAgQIAAAQIECBAg0KaADYA2tfVFgAABAgQIECBAgAABAgQIECBAgAABAgRaErAB0BK0bggQIECAAAECBAgQIECAAAECBAgQIECAQJsCNgDa1NYXAQIECBAgQIAAAQIECBAgQIAAAQIECBBoScAGQEvQuiFAgAABAgQIECBAgAABAgQIECBAgAABAm0K2ABoU1tfBAgQIECAAAECBAgQIECAAAECBAgQIECgJQEbAC1B64YAAQIECBAgQIAAAQIECBAgQIAAAQIECLQpYAOgTW19ESBAgAABAgQIECBAgAABAgQIECBAgACBlgRsALQErRsCBAgQIECAAAECBAgQIECAAAECBAgQINCmgA2ANrX1RYAAAQIECBAgQIAAAQIECBAgQIAAAQIEWhKwAdAStG4IECBAgAABAgQIECBAgAABAgQIECBAgECbAjYA2tTWFwECBAgQIECAAAECBAgQIECAAAECBAgQaEnABkBL0LohQIAAAQIECBAgQIAAAQIECBAgQIAAAQJtCtgAaFNbXwQIECBAgAABAgQIECBAgAABAgQIECBAoCUBGwAtQeuGAAECBAgQIECAAAECBAgQIECAAAECBAi0KWADoE1tfREgQIAAAQIECBAgQIAAAQIECBAgQIAAgZYEbAC0BK0bAgQIECBAgAABAgQIECBAgAABAgQIECDQpoANgDa19UWAAAECBAgQIECAAAECBAgQIECAAAECBFoSsAHQErRuCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAmwI2ANrU1hcBAgQIECBAgAABAgQIECBAgAABAgQIEGhJwAZAS9C6IUCAAAECBAgQIECAAAECBAgQIECAAAECbQrYAGhTW18ECBAgQIAAAQIECBAgQIAAAQIECBAgQKAlARsALUHrhgABAgQIECBAgAABAgQIECBAgAABAgQItClgA6BNbX0RIECAAAECBAgQIECAAAECBAgQIECAAIGWBGwAtAStGwIECBAgQIAAAQIECBAgQIAAAQIECBAg0KaADYA2tfVFgAABAgQIECBAgAABAgQIECBAgAABAgRaErAB0BK0bggQIECAAAECBAgQIECAAAECBAgQIECAQJsCNgDa1NYXAQIECBAgQIAAAQIECBAgQIAAAQIECBBoScAGQEvQuiFAgAABAgQIECBAgAABAgQIECBAgAABAm0K2ABoU1tfBAgQIECAAAECBAgQIECAAAECBAgQIECgJQEbAC1B64YAAQIECBAgQIAAAQIECBAgQIAAAQIECLQpYAOgTW19ESBAgAABAgQIECBAgAABAgQIECBAgACBlgRsALQErRsCBAgQIECAAAECBAgQIECAAAECBAgQINCmgA2ANrX1RYAAAQIECBAgQIAAAQIECBAgQIAAAQIEWhKwAdAStG4IECBAgAABAgQIECBAgAABAgQIECBAgECbAjYA2tTWFwECBAgQIECAAAECBAgQIECAAAECBAgQaEnABkBL0LohQIAAAQIECBAgQIAAAQIECBAgQIAAAQJtCtgAaFNbXwQIECBAgAABAgQIECBAgAABAgQIECBAoCUBGwAtQeuGAAECBAgQIECAAAECBAgQIECAAAECBAi0KWADoE1tfREgQIAAAQIECBAgQIAAAQIECBAgQIAAgZYEbAC0BK0bAgQIECBAgAABAgQIECBAgAABAgQIECDQpoANgDa19UWAAAECBAgQIECAAAECBAgQIECAAAECBFoSsAHQErRuCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAmwI2ANrU1hcBAgQIECBAgAABAgQIECBAgAABAgQIEGhJwAZAS9C6IUCAAAECBAgQIECAAAECBAgQIECAAAECbQrYAGhTW18ECBAgQIAAAQIECBAgQIAAAQIECBAgQKAlARsALUHrhgABAgQIECBAgAABAgQIECBAgAABAgQItCmw39z8sVSHa1evWapYGQECBAgQIECAAAECBAgQIECAAAECBAgQIDAlgS3btk4cuXYDYOLIGhIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLLJuAjgJaNXscECBAgQIAAAQIECBAgQIAAAQIECBAgQGB6AjYApmcrMgECBAgQIECAAAECBAgQIECAAAECBAgQWDYBGwDLRq9jAgQIECBAgAABAgQIECBAgAABAgQIECAwPQEbANOzFZkAAQIECBAgQIAAAQIECBAgQIAAAQIECCybgA2AZaPXMQECBAgQIECAAAECBAgQIECAAAECBAgQmJ6ADYDp2YpMgAABAgQIECBAgAABAgQIECBAgAABAgSWTcAGwLLR65gAAQIECBAgQIAAAQIECBAgQIAAAQIECExPwAbA9GxFJkCAAAECBAgQIECAAAECBAgQIECAAAECyyZgA2DZ6HVMgAABAgQIECBAgAABAgQIECBAgAABAgSmJ2ADYHq2IhMgQIAAAQIECBAgQIAAAQIECBAgQIAAgWUTsAGwbPQ6JkCAAAECBAgQIECAAAECBAgQIECAAAEC0xOwATA9W5EJECBAgAABAgQIECBAgAABAgQIECBAgMCyCdgAWDZ6HRMgQIAAAQIECBAgQIAAAQIECBAgQIAAgekJ2ACYnq3IBAgQIECAAAECBAgQIECAAAECBAgQIEBg2QT+PyBrwMUU3xNmAAAAAElFTkSuQmCC" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the diagram above, construct a ray diagram to locate the position of the image formed by the objective lens. Label this image I.</p>
<p>(ii) Outline whether the image I is real.</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 compound microscope in (a) is in normal adjustment so that the final image is formed at the near point of an unaided eye. The position of the near point of the eye is located at N.</p>
<p>(i) Define <em>near point</em>.<br>(ii) Deduce that the focal length of the eyepiece is around 10.7 cm.<br>(iii) Estimate the total linear magnification of the microscope.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br>