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</div><h2>HL Paper 3</h2><div class="specification">
<p>Type Ia supernovae typically have a peak luminosity of around 5 × 10<sup>5</sup> L<sub>s</sub>, where L<sub>s</sub> is the luminosity of the Sun (3.8 × 10<sup>26</sup> W). A type Ia supernova is observed with an apparent peak brightness of 1.6 × 10<sup>–6</sup> W m<sup>–2</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the formation of a type Ia supernova.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the distance to the supernova is approximately 3.1 × 10<sup>18</sup> m.</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>one </strong>assumption made in your calculation.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Derive, using the concept of the cosmological origin of redshift, the relation</p>
<p style="text-align: center;"><em>T</em> \( \propto \frac{1}{R}\)</p>
<p style="text-align: left;">between the temperature <em>T</em> of the cosmic microwave background (CMB) radiation and the cosmic scale factor <em>R</em>.</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>The present temperature of the CMB is 2.8 K. This radiation was emitted when the universe was smaller by a factor of 1100. Estimate the temperature of the CMB at the time of its emission.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State how the anisotropies in the CMB distribution are interpreted.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain the evidence that indicates the location of dark matter in galaxies.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why a hypothesis of dark energy has been developed.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Sun is a second generation star. Outline, with reference to the Jeans criterion (M<sub>J</sub>), how the Sun is likely to have been formed.</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>Suggest how fluctuations in the cosmic microwave background (CMB) radiation are linked to the observation that galaxies collide.</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>Show that the critical density of the universe is</p>
<p>\[\frac{{3{H^2}}}{{8\pi G}}\]</p>
<p>where <em>H</em> is the Hubble parameter and <em>G</em> is the gravitational constant.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to the Jeans criterion, why a cold dense gas cloud is more likely to form new stars than a hot diffuse gas cloud.</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>Explain how neutron capture can produce elements with an atomic number greater than iron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A galaxy can be modelled as a sphere of radius <em>R</em><sub>0</sub>. The distance of a star from the centre of the galaxy is <em>r</em>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_16.21.46.png" alt="M18/4/PHYSI/HP3/ENG/TZ1/19"></p>
<p>For this model the graph is a simplified representation of the variation with <em>r </em>of the mass of <strong>visible matter </strong>enclosed inside <em>r</em>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The mass of visible matter in the galaxy is <em>M</em>.</p>
<p>Show that for stars where <em>r </em>> <em>R</em><sub>0</sub> the velocity of orbit is<span class="Apple-converted-space"> <em>v</em> = \(\sqrt {\frac{{GM}}{r}} \).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the axes the observed variation with <em>r </em>of the orbital speed <em>v </em>of stars in a galaxy.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using the equation in (a) and the graphs, why the presence of visible matter alone cannot account for the velocity of stars when <em>r </em>> <em>R</em><sub>0</sub>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about Hubble’s law.</p>
<p class="p1">The spectrum of hydrogen from a source in the laboratory has a spectral line at wavelength 656 nm. The same line, viewed from Earth, in the spectrum of a distant galaxy has wavelength 682 nm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suggest why the two wavelengths are different.</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">Determine the distance to this galaxy from Earth using a Hubble constant of \({\text{74 km}}\,{{\text{s}}^{ - 1}}{\text{Mp}}{{\text{c}}^{ - {\text{1}}}}\).</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 the Hubble constant.</p>
<p class="p1">A recent estimate for the value of the Hubble constant is \({\text{70 k}}{{\text{m}}^{ - 1}}{\text{Mp}}{{\text{c}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate, in seconds, the age of the universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The wavelength of the lines in the absorption spectrum of hydrogen is 656.3 nm when measured on Earth. Analysis of light from a distant galaxy shows that the same line has a wavelength of 725.6 nm. Determine the recessional velocity of the distant galaxy.</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 cosmic microwave background (CMB) radiation.</p>
</div>
<div class="specification">
<p class="p1">A line in the hydrogen spectrum is measured in the laboratory to have a wavelength of 656 nm. The same line from a distant galaxy is measured to have a wavelength of 730 nm. Assuming that the Hubble constant \({H_0}\) is \({\text{69.3 km}}\,{{\text{s}}^{ - 1}}{\text{Mp}}{{\text{c}}^{ - 1}}\),</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">calculate the distance of this galaxy from Earth.</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">discuss why different measurements of the Hubble constant do not agree with each other.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The graph shows the observed orbital velocities of stars in a galaxy against their distance from the centre of the galaxy. The core of the galaxy has a radius of 4.0 kpc.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the rotation velocity of stars 4.0 kpc from the centre of the galaxy. The average density of the galaxy is 5.0 × 10<sup>–21</sup> kg m<sup>–3</sup>.</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>Explain why the rotation curves are evidence for the existence of dark matter.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe how some white dwarf stars become type Ia supernovae.</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>Hence, explain why a type Ia supernova is used as a standard candle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the observation of type Ia supernovae led to the hypothesis that dark energy exists.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to star formation, what is meant by the Jeans criterion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In the proton–proton cycle, four hydrogen nuclei fuse to produce one nucleus of helium releasing a total of 4.3 × 10<sup>–12</sup> J of energy. The Sun will spend 10<sup>10</sup> years on the main sequence. It may be assumed that during this time the Sun maintains a constant luminosity of 3.8 × 10<sup>26</sup> W.</p>
<p><br>Show that the total mass of hydrogen that is converted into helium while the Sun is on the main sequence is 2 × 10<sup>29</sup> kg.</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>Massive stars that have left the main sequence have a layered structure with different chemical elements in different layers. Discuss this structure by reference to the nuclear reactions taking place in such stars.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Hertzsprung–Russell (HR) diagram and the Sun.</p>
<p class="p1">A Hertzsprung–Russell (HR) diagram is shown.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_07.29.14.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/02"></p>
</div>
<div class="specification">
<p class="p1">The Sun will remain on the main sequence of the HR diagram for about another five billion years. After this time it will become a red giant, following the evolutionary path shown in the diagram.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_07.31.26.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/02.e"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why the Sun will leave the main sequence, and describe the nuclear processes that occur as it becomes a red giant.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe <strong>two </strong>physical changes that the Sun will undergo as it enters the red giant stage.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the characteristics of the stars Procyon A and Procyon B.</p>
</div>
<div class="specification">
<p class="p1">The star Betelgeuse is about five times the mass of Regulus. One possible outcome of the final stage of the evolution of Betelgeuse is for it to become a black hole. State the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The luminosity of the main sequence star Regulus is \(150{\text{ }}{L_{\text{S}}}\). Assuming that, in the mass–luminosity relationship, \(n = 3.5\) show that the mass of Regulus is \(4.2{\text{ }}{M_{\text{S}}}\) where \({M_{\text{S}}}\) is the mass of the Sun.</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>other possible outcome of the final stage of the evolution of Betelgeuse.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>reason why the final stage in (j)(i) is stable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">j.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Hubble’s law.</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>Measured values of the Hubble constant can vary between 40 kms<sup>–1 </sup>Mpc<sup>–1</sup> and 90 kms<sup>–1 </sup>Mpc<sup>–1</sup>. State the reason for this wide variation in values.</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>The blue line in the spectrum of atomic hydrogen as measured in the laboratory is 490 nm. The same line in the spectrum of light from a galaxy has a wavelength of 500 nm.</p>
<p>Determine the distance of the galaxy from Earth. You may assume that the Hubble constant=70 km s<sup>–1</sup> Mpc<sup>–1</sup>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about determining the distance to a nearby star.</p>
<p class="p1">Two photographs of the night sky are taken, one six months after the other. When the photographs are compared, one star appears to have shifted from position A to position B, relative to the other stars.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_07.21.57.png" alt="N15/4/PHYSI/HP3/ENG/TZ0/01"></p>
</div>
<div class="question">
<p class="p1">Discuss whether Hubble’s Law can be used to determine reliably the distance from Earth to this star.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Big Bang model and red-shift.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Many galaxies are a great distance from Earth. Explain, with reference to Hubble’s law, how the measurement of the red-shift of light from such galaxies enables their distance from Earth to be determined.</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>State <strong>one</strong> problem associated with using Hubble’s law to determine the distance of a galaxy a great distance from earth.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A galaxy a distance <em>d</em> away emits light of wavelength <em>λ</em>. Show that the shift in wavelength Δ<em>λ</em>, as measured on Earth, is given by<br> \[\Delta \lambda = \frac{{{H_0}d\lambda }}{c}\]<br>where H<sub>0</sub> is the Hubble constant.</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>Light of wavelength 620 nm is emitted from a distant galaxy. The shift in wavelength measured on Earth is 35 nm. Determine the distance to the galaxy using a Hubble constant of 68 km s<sup>–1</sup>Mpc<sup>–1</sup>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Hertzsprung–Russell (HR) diagram and stellar evolution.</p>
<p class="p1">The star Phi-1 Orionis is a large star on the main sequence with a mass of approximately 18 solar masses.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_05.14.52.png" alt="N14/4/PHYSI/HP3/ENG/TZ0/04"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the luminosity of Phi-1 Orionis in terms of the luminosity of the Sun. Assume that \(n = 3.5\) in the mass–luminosity relation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The Sun is expected to have a lifespan of around \({\text{1}}{{\text{0}}^{{\text{10}}}}\) years. With reference to the equilibrium between radiation pressure and gravitational pressure, discuss why Phi-1 Orionis will use up its hydrogen at a faster rate than the Sun.</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">Using the HR diagram on page 6, draw the evolutionary path of Phi-1 Orionis as it leaves the main sequence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline, with reference to the Oppenheimer–Volkoff limit, the fate of Phi-1 Orionis.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar distances.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The star Sirius A is 3 pc from Earth. The apparent brightness of Sirius A is 1.2×10<sup>–7</sup>Wm<sup>–2</sup>. Determine the luminosity of Sirius A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The luminosity of the Sun is 3.8×10<sup>26</sup> W. Determine the mass of Sirius A relative to the mass of the Sun. (Assume that <em>n</em>=3.5 in the mass–luminosity relation.)</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 stellar evolution.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The mass of a main sequence star is two solar masses. Estimate, in terms of the solar luminosity, the range of possible values for the luminosity of this star.</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 star in (a) will eventually leave the main sequence.</p>
<p>State</p>
<p>(i) the condition that must be satisfied for this star to eventually become a white dwarf.</p>
<p>(ii) the source of the energy that the white dwarf star radiates into space.</p>
<p>(iii) <strong>one</strong> likely element, other than hydrogen and helium, that may be found in a white dwarf.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why a white dwarf maintains a constant radius.</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 mass–luminosity relation.</p>
<p><br>Star X is 1.5×10<sup>5</sup> more luminous than the Sun and has a mass 30 times that of the Sun.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify whether star X is on the main sequence. Assume that <em>n</em> = 3.5 in the mass–luminosity relation.</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>(i) State the evolution of star X.</p>
<p>(ii) Explain the eventual fate of star X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the Jeans criterion for star formation.</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>Describe <strong>three</strong> differences between type Ia and type II supernovae.</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 Hubble’s law and the age of the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State Hubble’s law.</p>
<p>(ii) State why Hubble’s law cannot be used to determine the distance from Earth to nearby galaxies, such as Andromeda.</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>(i) Show that \(\frac{1}{{{H_0}}}\)<sub> </sub>is an estimate of the age of the universe, where <em>H</em><sub>0</sub> is the Hubble constant.</p>
<p>(ii) Assuming <em>H</em><sub>0</sub> = 80 km s<sup>−1</sup>Mpc<sup>−1</sup>, estimate the age of the universe in seconds.</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 some of the properties of the star Aldebaran and also about galactic distances.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Betelgeuse in the constellation of Orion is a red supergiant star.</p>
<p>(i) Compare the fate of Aldebaran to that of Betelgeuse.</p>
<p>(ii) Outline, with reference to the Chandrasekhar limit, the circumstances under which the final state of Betelgeuse could be the same as the final state of Aldebaran.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distances to galaxies may be determined by using Cepheid variable stars.</p>
<p>By considering the nature and properties of Cepheid variable stars, explain how such stars are used to determine galactic distances.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The fractional change in the wavelength λ of light from the galaxy Hydra is \(\frac{{\Delta \lambda }}{\lambda }\)=0.204. The distance to Hydra is 820 Mpc.</p>
<p>Estimate in km s<sup>–1 </sup>Mpc<sup>–1</sup> a value for the Hubble constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An estimate of the age of the universe is \(\frac{1}{H}\) where <em>H</em> is the Hubble constant. Suggest why \(\frac{1}{H}\) overestimates the age of the universe.</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 structure of the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State, in terms of the arrangement of galaxies, the present large-scale distribution of mass in the universe.</p>
<p>(ii) State how the separation of distant galaxies is changing with time.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain the observational evidence for your answer to (a)(ii).</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 the life history of stars.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to pressure, how a star on the main sequence maintains its stability.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A star with a mass equal to that of the Sun moves off the main sequence. Outline the main processes of nucleosynthesis that occur in the core of this star before and after this change.</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>Compare the fate of the star in (b) with that of a star of much greater mass.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Beta Centauri is a star in the southern skies with a parallax angle of 8.32×10<sup>−3</sup> arc-seconds. Calculate, in metres, the distance of this star from Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why astrophysicists use non-SI units for the measurement of astronomical distance.</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 the Hubble constant.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the measurements that must be taken in order to determine a value for the Hubble constant.</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>One estimate of the Hubble constant is 60 km s<sup>–1 </sup>Mpc<sup>–1</sup>. Cygnus A is a radio galaxy at a distance of 6.0×10<sup>8 </sup>ly from Earth. Calculate, in km s<sup>–1</sup>, the recessional speed of Cygnus A relative to the Earth.</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 Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Hubble’s law.</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 wavelength of a line in the spectrum of atomic hydrogen, as measured in the laboratory, is 656 nm. The same line in the spectrum of light from a distant galaxy is measured to be 790 nm. The galaxy is 940 Mpc from Earth.</p>
<p>(i) Show that the recessional speed of the galaxy is 6.13×10<sup>4 </sup>km s<sup>–1</sup>.</p>
<p>(ii) Determine, using your answer to (b)(i), a value for the Hubble constant.</p>
<p>(iii) Show, using your answer to (b)(ii), that the age of the universe is of the order of 10<sup>17 </sup>s. (1 pc =3.1×10<sup>13</sup> km)</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State</p>
<p>(i) Hubble’s law.</p>
<p>(ii) the significance of the reciprocal of the Hubble constant.</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 wavelength of a certain line in the hydrogen spectrum is measured to be 434 nm in the laboratory. The same line in the hydrogen spectrum of the galaxy 3C-273 is measured on Earth to be 504 nm.</p>
<p>Determine the distance of 3C-273 from Earth using a Hubble constant of 72 kms<sup>–1 </sup>Mpc<sup>–1</sup>.</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 stellar evolution.</p>
</div>
<div class="specification">
<p class="p1">Achernar may evolve to become a neutron star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Achernar is a main sequence star with a mass that is eight times the mass of the Sun. Deduce that Achernar has a greater temperature than the Sun.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why Achernar will spend less time on the main sequence than the Sun.</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 condition relating to mass that must be satisfied for Achernar to become a neutron star.</p>
<p class="p1">(ii) Some neutron stars rotate about their axes and have strong magnetic fields. State how these stars may be detected.</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 the evolution of stars.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the</p>
<p>(i) Chandrasekhar limit.</p>
<p>(ii) Oppenheimer–Volkoff limit.</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>Suggest how your answers in (a) can be used to predict the fate of a main sequence star.</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 the main sequence star Khad (Phi Orionis).</p>
<p>The luminosity of Khad is 2.0×10<sup>4</sup> <em>L</em><sub>S</sub>, where <em>L</em><sub>S</sub> is the luminosity of the Sun.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Assuming that the exponent <em>n</em> in the mass–luminosity relation is 3.5, show that the mass of Khad is about 17 solar masses.</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 the likely evolution of the star Khad after it leaves the main sequence.</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 Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Hubble’s law.</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>Light from the galaxy M31 received on Earth shows a blue-shift corresponding to a fractional wavelength shift \(\frac{{\Delta \lambda }}{\lambda }\) of 0.001.<br><br>(i) Calculate the velocity of M31 relative to Earth.</p>
<p>(ii) The distance to M31 from Earth is 0.77 Mpc. Estimate, using the answer to (b)(i), a value of the Hubble constant.</p>
<p>(iii) Comment on your answer to (b)(ii).</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about red-shift.</p>
<p>The wavelengths of radio signals from galaxy A are found to be red-shifted from the wavelengths that would be observed from sources at rest relative to Earth.</p>
</div>
<div class="question">
<p>The fractional change in wavelength of the radio signals from galaxy A is 9.4×10<sup>–3</sup>.</p>
<p>Calculate, in km s<sup>–1</sup>, the average velocity of galaxy A relative to Earth.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about red-shift.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the axes, sketch a graph to show how the recessional speed <em>v</em> of a galaxy varies with distance <em>d</em> from the Earth.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) Outline how the graph in (a)(i) can be used to determine the age of the universe.</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>Astronomers use the factor <em>z</em> to report the red-shift of an object relative to Earth where</p>
<p>\[z = \frac{{{\rm{shift in wavelength detected by Earth observer}}}}{{{\rm{wavelength of light emitted by object}}}}\]</p>
<p>Quasar 3C273 is thought to be the closest quasar to Earth and has <em>z</em>=0.18. Assuming that the Hubble constant is 70 kms<sup>–1 </sup>Mpc<sup>–1</sup>, determine the distance of this object from Earth.</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 Hubble’s law.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from distant galaxies is red-shifted. Explain how this red-shift arises.</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 graph shows the variation of recession speed with distance from Earth for some galactic clusters.</p>
<p><img 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" alt></p>
<p> </p>
<p>(i) Calculate, in s<sup>−1</sup>, the Hubble constant..</p>
<p>(ii) Estimate, in s, the age of the universe.</p>
<p>(iii) State the assumption that you made in your estimate in (b)(ii).</p>
<p> </p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar evolution.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Hertzsprung–Russell (HR) diagram shows the Sun, a star A and the main sequence.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Using the mass–luminosity relation <em>L</em> ∝ <em>M</em><sup>3.5</sup>, determine the ratio of the mass of star A to the mass of the Sun.</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>Star A will leave the main sequence and will evolve to become a neutron star. State the</p>
<p>(i) change in star A that marks its departure from the main sequence.</p>
<p>(ii) range of mass of a neutron star.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Recent evidence from the Planck observatory suggests that the matter density of the universe is <em>ρ</em><sub>m</sub> = 0.32 <em>ρ</em><sub>c</sub>, where <em>ρ</em><sub>c</sub> ≈ 10<sup>–26</sup> kg\(\,\)m<sup>–3</sup> is the critical density.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with time <em>t</em> of the cosmic scale factor <em>R</em> in the flat model of the universe in which dark energy is ignored.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-26_om_10.24.01.png" alt="M17/4/PHYSI/HP3/ENG/TZ1/17.a"></p>
<p>On the axes above draw a graph to show the variation of <em>R</em> with time, when dark energy is present.</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 density of the observable matter in the universe is only 0.05 <em>ρ</em><sub>c</sub>. Suggest how the remaining 0.27 <em>ρ</em><sub>c</sub> is accounted for.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The density of dark energy is <em>ρ</em><sub>Λ</sub>c<sup>2</sup> where <em>ρ</em><sub>Λ</sub> = <em>ρ</em><sub>c</sub> – <em>ρ</em><sub>m</sub>. Calculate the amount of dark energy in 1 m<sup>3</sup> of space.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by dark matter.</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 distribution of mass in a spherical system is such that the density <em>ρ</em> varies with distance <em>r</em> from the centre as</p>
<p style="text-align: center;"><em>ρ </em>= \(\frac{k}{{{r^2}}}\)</p>
<p style="text-align: left;">where <em>k</em> is a constant.</p>
<p style="text-align: left;">Show that the rotation curve of this system is described by</p>
<p style="text-align: center;"><em>v</em> = constant.</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>Curve A shows the actual rotation curve of a nearby galaxy. Curve B shows the predicted rotation curve based on the visible stars in the galaxy.</p>
<p style="text-align: center;"><img 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"></p>
<p>Explain how curve A provides evidence for dark matter.</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 stellar evolution.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A main sequence star has a mass of 2.2\({M_ \odot }\) where \({M_ \odot }\)= 1 solar mass. The lifetime of a star on the main sequence is proportional to \(\frac{M}{L}\) where <em>M</em> is the mass and <em>L</em> is the luminosity of the star.</p>
<p>Using the mass–luminosity relation <em>L</em>∝<em>M</em><sup>3.5</sup> show that the</p>
<p>(i) luminosity of the star is 16\({L_ \odot }\) where \({L_ \odot }\)=1 solar luminosity.</p>
<p>(ii) lifetime of this star on the main sequence will be approximately \(\frac{1}{7}\) of the lifetime of the Sun.</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 star in (a) will evolve to become a white dwarf. The diagram represents the stages in the evolution of the star.</p>
<p><img 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" alt></p>
<p>(i) On the diagram, label the <strong>two</strong> intermediate stages.</p>
<p>(ii) State what may be deduced about the mass of this star when it is in the white dwarf stage.</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 stars in the constellation Canis Minor.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(ii) Gomeisa has a radius four times that of the Sun. Use the data in (c) to show that the ratio</p>
<p>\[\frac{{{\rm{luminosity of Gomeisa}}}}{{{\rm{luminosity of Sun}}}}\]</p>
<p>is about 200.</p>
<p>(iii) Assuming the value of n in the mass–luminosity equation to be 3.5, calculate</p>
<p>\[\frac{{{\rm{mass of Gomeisa}}}}{{{\rm{mass of Sun}}}}\]</p>
<p>(iv) Outline, with reference to the Chandrasekhar limit, the likely eventual fate of Gomeisa.</p>
<div class="marks">[7]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><img 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" alt></p>
<p>On the HR diagram above, sketch the likely evolutionary path of Luyten’s star.</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar evolution.</p>
<p>In the HR diagram below, the Sun and another main sequence star, X, have been marked.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the diagram above, draw a line to show the evolutionary path of the Sun from its present position on the main sequence to the final stage in its evolution.</p>
<p>(ii) Explain, by reference to the Chandrasekhar limit, why the final stage in the evolution of the Sun is the one you indicated in (a)(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>(i) Show that the mass of star X is approximately 14 solar masses. (Assume that <em>n</em>=3.5 in the mass–luminosity relation.)</p>
<p>(ii) State the likely final stage of star X.</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 the properties of a star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) The radius of star X is 4.5 <em>R</em><sub>S</sub> where <em>R</em><sub>S</sub> is the radius of the Sun. The surface temperature of the Sun is 5.7×10<sup>3</sup>K.</p>
<p>Determine the ratio \(\frac{{{\rm{luminosity of star X}}}}{{{\rm{luminosity of the Sun}}}}\).</p>
<p>(ii) Calculate, assuming that the power in the mass–luminosity relationship is 3.5, the ratio \(\frac{{{\rm{mass of star X}}}}{{{\rm{mass of Sun}}}}\).</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the Hertzsprung–Russell diagram, label</p>
<p>(i) the position of star X with the letter X.<br>(ii) the position of the Sun with the letter S.</p>
<p><img 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" alt></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>Explain, with reference to the Chandrasekhar limit, whether or not star X will become a white dwarf.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar distances and stellar properties.</p>
<p><img 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+v6XbdnO9d5zjNj9mZf4UWAAAECBAgQIECAAAECBAgQIECAAAECFSvwOxUbucAJECBAgAABAgQIECBAgAABAgQIECBAoEdAo9dGIECAAAECBAgQIECAAAECBAgQIECAQIULaPRWeAGFT4AAAQIECBAgQIAAAQIECBAgQIAAAY1ee4AAAQIECBAgQIAAAQIECBAgQIAAAQIVLqDRW+EFFD4BAgQIECBAgAABAgQIECBAgAABAgQ0eu0BAgQIECBAgAABAgQIECBAgAABAgQIVLiARm+FF1D4BAgQIECAAAECBAgQIECAAAECBAgQ0Oi1BwgQIECAAAECBAgQIECAAAECBAgQIFDhAhq9FV5A4RMgQIAAAQIECBAgQIAAAQIECBAgQECj1x4gQIAAAQIECBAgQIAAAQIECBAgQIBAhQto9FZ4AYVPgAABAgQIECBAgAABAgQIECBAgAABjV57gAABAgQIECBAgAABAgQIECBAgAABAhUuoNFb4QUUPgECBAgQIECAAAECBAgQIECAAAECBDR67QECBAgQIECAAAECBAgQIECAAAECBAhUuIBGb4UXUPgECBAgQIAAAQIECBAgQIAAAQIECBDQ6LUHCBAgQIAAAQIECBAgQIAAAQIECBAgUOECGr0VXkDhEyBAgAABAgQIECBAgAABAgQIECBA4IikBE0NjUmHGkeAAAECBAgQIECAAAECBAgQIECAAAECJQq0dbQnXiFxoze3YjELJ47AQAIECBAgQIAAAQIECBAgQIAAAQIECBDIEyj2xluPbsjj84EAAQIECBAgQIAAAQIECBAgQIAAAQKVJ6DRW3k1EzEBAgQIECBAgAABAgQIECBAgAABAgTyBDR68zh8IECAAAECBAgQIECAAAECBAgQIECAQOUJaPRWXs1ETIAAAQIECBAgQIAAAQIECBAgQIAAgTwBjd48Dh8IECBAgAABAgQIECBAgAABAgQIECBQeQIavZVXMxETIECAAAECBAgQIECAAAECBAgQIEAgT0CjN4/DBwIECBAgQIAAAQIECBAgQIAAAQIECFSegEZv5dVMxAQIECBAgAABAgQIECBAgAABAgQIEMgT0OjN4/CBAAECBAgQIECAAAECBAgQIECAAAEClSeg0Vt5NRMxAQIECBAgQIAAAQIECBAgQIAAAQIE8gQ0evM4fCBAgAABAgQIECBAgAABAgQIECBAgEDlCWj0Vl7NREyAAAECBAgQIECAAAECBAgQIECAAIE8AY3ePA4fCBAgQIAAAQIECBAgQIAAAQIECBAgUHkCGr2VVzMREyBAgAABAgQIECBAgAABAgQIECBAIE9AozePwwcCBAgQIECAAAECBAgQIECAAAECBAhUnoBGb+XVTMQECBAgQIAAAQIECBAgQIAAAQIECBDIE9DozePwgQABAgQIECBAgAABAgQIECBAgAABApUnoNFbeTUTMQECBAgQIECAAAECBAgQIECAAAECBPIENHrzOHwgQIAAAQIECBAgQIAAAQIECBAgQIBA5Qlo9FZezURMgAABAgQIECBAgAABAgQIECBAgACBPAGN3jwOHwgQIECAAAECBAgQIECAAAECBAgQIFB5Ahq9lVczERMgQIAAAQIECBAgQIAAAQIECBAgQCBPQKM3j8MHAgQIECBAgAABAgQIECBAgAABAgQIVJ6ARm/l1UzEBAgQIECAAAECBAgQIECAAAECBAgQyBPQ6M3j8IEAAQIECBAgQIAAAQIECBAgQIAAAQKVJ6DRW3k1EzEBAgQIECBAgAABAgQIECBAgAABAgTyBDR68zh8IECAAAECBAgQIECAAAECBAgQIECAQOUJaPRWXs1ETIAAAQIECBAgQIAAAQIECBAgQIAAgTwBjd48Dh8IECBAgAABAgQIECBAgAABAgQIECBQeQIavZVXMxETIECAAAECBAgQIECAAAECBAgQIEAgT0CjN4/DBwIECBAgQIAAAQIECBAgQIAAAQIECFSegEZv5dVMxAQIECBAgAABAgQIECBAgAABAgQIEMgT0OjN4/CBAAECBAgQIECAAAECBAgQIECAAAEClSeg0Vt5NRMxAQIECBAgQIAAAQIECBAgQIAAAQIE8gQ0evM4fCBAgACB8gvsiY6Wb8XqpXNiSkNjNE36WGzszJQ/DFckQIAAAQIECBAgQIAAAQIVLHBEBccudAIECBCodIFMW2y8+K/i8h9EzLp4caza/M8xs3FspWclfgIECBAgQIAAAQIECBAgUHYBjd6yk7sgAQIECPQIdP0krvvQhbH6hVPiyntWxKJpE8AQIECAAAECBAgQIECAAAECQxTQ6B0inGkECBAgUIrAi7H5i1fG6icnxoV3aPKWImkuAQIECBAgQIAAAQIECBDICWj02gcECBAgUHaBTOu6uGbDc3HCxTfGkhnu5C17AVyQAAECBAgQIECAAAECBKpOwI+xVV1JJUSAAIG0CzwX9910Rzwbx8XkeDRu/Ojp0ZT7EbaG02PxDZuiw++wpb2A4iNAgAABAgQIECBAgACBFApo9KawKEIiQIBA+QQy0dV6b6xduShOm7IsNncXeeVMe2xesyzmTso1anubtSs3RmvXIN3azK/jqV/+JuL4P4lJE/+f+NgtD0dbW0us/sD4ePimT8SCKzdFV5FhGE6AAAECBAgQIECAAAECBGpdQKO31neA/AkQqEmBTPvmWP+1XIN2YsyYd2msWNUcu4qUyLRviItOe2csumV3vHvDv0VbR3vs2HxlHPvINXHBWRfH2tbOgVfsejp2Pt8d9W98V3z0/GkxLjeqrjHe/vcr47LpY2PXPXdGS+cgjeKBV3WUAAECBAgQIECAAAECBAjUtIBGb02XX/IECNSkQGZr3Ljk9nixbmKcPW9q1A8BIdfk/cT7/yY2dc6IK2/7Siyatu85u3WN74rl66+JWZ2bYsX8S2Jt257kq9edGDPe+scR3U/HU8/8Nvk8IwkQIECAAAECBAgQIECAAIHQ6LUJCBAgUGsCdTNi6cabY+nixXHhir+NhScU2erNbI/1S74Qm7K3AB8/b2Fc0DQ2X3DCWfHxRZOzDdtH44bLvxltB9+cO+71Mem4Iq+ZfwWfCBAgQIAAAQIECBAgQIAAgYMENHoPAvGRAAECNSVQd1SMH19XRMrZZ/puuTXWP/ZKds6EOP2sk/c9eiFvhSNj6jtmxQnZY92P/VNce+9zeWej7o1x/odnRDx0Z9wzwB2/9dMviPOnHpk/xycCBAgQIECAAAECBAgQIEBgUAGN3kF5nCRAgACBfIHno+W2B/c9z7f+pHjLnx2Vf7r3U92b3hKn9tzo2xUtX/5mtObd1Ts2mhZ+Li476Rdxw6Ur44ftucc77ImOTdfH59ePj8uu/2A0FdN7HjACBwkQIECAAAECBAgQIECAQG0JaPTWVr1lS4AAgdIEOh+NBx/q2rfGcU3ROK5AR7b+dTFxcu8jHZ5tiU3bXs2/bt2UWLTuG/H3Ux6LS2a+IZoapsaCO8bGh26/KRYd/CiI/Jk+ESBAgAABAgQIECBAgAABAgMIHDHAMYcIECBAgMAAApno/NH34uHu3lPjx8fRBfq8EcdG05RxEduyD/KNF2Lnr7LN4WkHPY5h3LR4z3X3Zf8b4FIOESBAgAABAgQIECBAgAABAkUJuKO3KC6DCRAgUMsCv41nnno69vd5x06ZGK8ryPG7MW7CH/ae7Yof//SXffMKTnGCAAECBAgQIECAAAECBAgQGLKARu+Q6UwkQIBArQn83+jqfDlh0vVx9PjX9I3NdO6OpDP7JnlDgAABAgQIECBAgAABAgQIJBbQ6E1MZSABAgRqXeCFaNve+3zeGBuTJr0u6hOSdL/YGa8kHGsYAQIECBAgQIAAAQIECBAgULyARm/xZmYQIECAAAECBAgQIECAAAECBAgQIEAgVQIavakqh2AIECBAgAABAgQIECBAgAABAgQIECBQvMARxU8xgwABAgRqU+APYvwxY7Op70mQ/m+ifee/940b/Ifb+oYN+qapoXHQ8wOdvHnd1wc6HLNnnTHg8YMPNrdsOfhQz+ck8wvNHXDBfgdLXbsc83PhFsovyfUHm587l2SNQtcv1/zBckgS/2Dzy5XDYIa5GAZ7JclxsPWTzM9dv9Aapc7PrZ1kjULXr5T5uTgL5ZAk/8Hmp8EgF8NgryQ5FvLJrZtkfm5coTVKnZ80hkLXL9d8BoX3QM7mcK9S90mp83PxJVljtPdZqdfP5VlojST5DzY/dy7JGoWuX675w5FDbg0vAgTSLTBmb/aVJMTcF+y2jvYkQ40hQIAAgYoR2BFrz50TK7Zlm7dj58faJ1bGzIIP3n01WlfOiwtW7ejJbuz8dfH4dTMLPKe3KzYvPTsWbdiVHVsfJ1x8e7QsmxF1ZXRJ69+t3P+Tn+TLQBmpXIrAIQL26SEkDqRQwD5NYVGEdIiAfXoIiQMpFLBPU1gUIRHoFSj2e61HN9g6BAgQIJBQ4PfixImv72vsZjp3x8sFZ74auzv33/n7+zF54h+XtclbMCwnCBAgQIAAAQIECBAgQIBAlQpo9FZpYaVFgACB4ReoiwnTT44pvQt3v9gZrxS6SObX8dQvf9N7dlK8dfoxhUY6ToAAAQIECBAgQIAAAQIECAyDgEbvMCBaggABAjUjcOLp8e7pR+1L98mfx2OdmYFT73o6dj7f3XOufvqZMfPEgs+DGHi+owQIECBAgAABAgQIECBAgEBRAhq9RXEZTIAAgRoXqJsU8xacsu/xDd1Px1PP/HZAkMwzO2NHT593XJy+4JxoKufDeQeMyEECBAgQIECAAAECBAgQIFDdAhq91V1f2REgQGCYBbKPb5j7mbis567e9rjv9kei65ArvBrbftASz2aP10//eFwx97WHjKjlA36IrZarXzm526eVU6tajtQ+reXqV07u9mnl1KqWI7VPa7n6cq82AY3eaquofAgQIDBUgczu2P1ygUcx9F+zbkp85PpPxrT67th1z7q4q23/j67tG5Rpuy2Wr92R7fKeEpdd/0F38/a3854AAQIECBAgQIAAAQIECIyQgEbvCMFalgABAukXyETX1vvjgSd7G7Xdj8ata382wB26h2ZS17Qw1t5xSZwUj8YNl66MH7bn1siu17omLlpwfbROODOu3HBTLGoae+hkRwgQIECAAAECBAgQIECAAIFhFxizN/tKsmpTQ2O0dbQnGWoMAQIECKRaoDs61iyI2ct/XjjKqVdF83cWR0PhET1nMu2b49YNt8XaVc2xK3fk+Nlx4ccWxPwPz4yGUX4ur79bhyme0wQIECBAgAABAgQIECCQaoFiv9dq9Ka6nIIjQIAAgaEKFPsHcajXMY8AAQIECBAgQIAAAQIECIyEQLHfaz26YSSqYE0CBAgQIECAAAECBAgQIECAAAECBAiUUUCjt4zYLkWAAAECBAgQIECAAAECBAgQIECAAIGRENDoHQlVaxIgQIAAAQIECBAgQIAAAQIECBAgQKCMAhq9ZcR2KQIECBAg0NyyBQKB1AvYp6kvkQCzAvapbVAJAvZpJVRJjPapPUCgegQ0equnljIhQIAAAQIECBAgQIAAAQIECBAgQKBGBTR6a7Tw0iZAgAABAgQIECBAgAABAgQIECBAoHoENHqrp5YyIUCAAAECBAgQIECAAAECBAgQIECgRgU0emu08NImQIAAAQIECBAgQIAAAQIECBAgQKB6BMbszb6SpNPU0BhtHe1JhhpDgAABAgRGXcDfrVEvgQAIECBAgAABAgQIECBAoASBYr/XuqO3BGxTCRAgQIAAAQIECBAgQIAAAQIECBAgkAYBjd40VEEMBAgQIECAAAECBAgQIECAAAECBAgQKEFAo7cEPFMJECBAgAABAgQIECBAgAABAgQIECCQBgGN3jRUQQwECBAgQIAAAQIECBAgQIAAAQIECBAoQUCjtwQ8UwkQIECAAAECBAgQIECAAAECBAgQIJAGAY3eNFRBDAQIECBAgAABAgQIECBAgAABAgQIEChBQKO3BDxTCRAgQIBAsQLNLVuKnWI8gbIL2KdlJ3fBIQjYp0NAM6XsAvZp2cldcAgC9ukQ0EwhkFIBjd6UFkZYBAgQIECAAAECBAgQIECAAAECBAgQSCqg0ZtUyjgCBAgQIECAAAECBAgQIECAAAECBAikVECjN6WFERYBAgQIECBAgAABAgQIECBAgAABAgSSCmj0JpUyjgABAgQIECBAgAABAgQIECBAgAABAikVGLM3+0oSW1NDY7R1tCcZagwBAgQIEBh1AX+3Rr0EAiBAgAABAgQIECBAgACBEgSK/V7rjt4SsE0lQIAAAQIECBAgQIAAAQIECBAgQIBAGgQ0etNQBTEQIECAAAECBAgQIECAAAECBAgQIECgBAGN3hLwTCVAgAABAgQIECBAgAABAgQIECBAgEAaBDR601AFMRAgQIAAAQIECBAgQIAAAQIECBAgQKAEAY3eEvBMJUCAAAECBAgQIECAAAECBAgQIECAQBoENHrTUAUxECBAgAABAgQIECBAgAABAgQIECBAoAQBjd4S8EwlQIAAAQLFCjS3bCl2ivEEyi5gn5ad3AWHIGCfDgHNlLIL2KdlJ3fBIQjYp0NAM4VASgU0elNaGGERIECAAAECBAgQIECAAAECBAgQIEAgqYBGb1Ip4wgQIECAAAECBAgQIECAAAECBAgQIJBSAY3elBZGWAQIECBAgAABAgQIECBAgAABAgQIEEgqoNGbVMo4AgQIECBAgAABAgQIECBAgAABAgQIpFRgzN7sK0lsTQ2N0dbRnmSoMQQIECBAYNQF/N0a9RIIgAABAgQIECBAgAABAgRKECj2e607ekvANpUAAQIECBAgQIAAAQIECBAgQIAAAQJpENDoTUMVxECAAAECBAgQIECAAAECBAgQIECAAIESBDR6S8AzlQABAgQIECBAgAABAgQIECBAgAABAmkQ0OhNQxXEQIAAAQIECBAgQIAAAQIECBAgQIAAgRIENHpLwDOVAAECBAgQIECAAAECBAgQIECAAAECaRDQ6E1DFcRAgAABAgQIECBAgAABAgQIECBAgACBEgQ0ekvAM5UAAQIECBAgQIAAAQIECBAgQIAAAQJpENDoTUMVxECAAAECNSPQ3LKlZnKVaOUK2KeVW7taitw+raVqV26u9mnl1q6WIrdPa6nacq12AY3eaq+w/AgQIECAAAECBAgQIECAAAECBAgQqHoBjd6qL7EECRAgQIAAAQIECBAgQIAAAQIECBCodgGN3mqvsPwIECBAgAABAgQIECBAgAABAgQIEKh6AY3eqi+xBAkQIECAAAECBAgQIECAAAECBAgQqHaBMXuzryRJNjU0RltHe5KhxhAgQIAAgVEX8Hdr1EsgAAIECBAgQIAAAQIECBAoQaDY77Xu6C0B21QCBAgQIECAAAECBAgQIECAAAECBAikQUCjNw1VEAMBAgQIECBAgAABAgQIECBAgAABAgRKENDoLQHPVAIECBAgQIAAAQIECBAgQIAAAQIECKRBQKM3DVUQAwECBAgQIECAAAECBAgQIECAAAECBEoQ0OgtAc9UAgQIECBAgAABAgQIECBAgAABAgQIpEFAozcNVRADAQIECBAgQIAAAQIECBAgQIAAAQIEShDQ6C0Bz1QCBAgQIFCsQHPLlmKnGE+g7AL2adnJXXAIAvbpENBMKbuAfVp2chccgoB9OgQ0UwikVECjN6WFERYBAgQIECBAgAABAgQIECBAgAABAgSSCmj0JpUyjgABAgQIECBAgAABAgQIECBAgAABAikV0OhNaWGERYAAAQIECBAgQIAAAQIECBAgQIAAgaQCGr1JpYwjQIAAAQIECBAgQIAAAQIECBAgQIBASgXG7M2+ksTW1NAYbR3tSYYaQ4AAAQIERl3A361RL4EACBAgQIAAAQIECBAgQKAEgWK/17qjtwRsUwkQIECAAAECBAgQIECAAAECBAgQIJAGAY3eNFRBDAQIECBAgAABAgQIECBAgAABAgQIEChBQKO3BDxTCRAgQIAAAQIECBAgQIAAAQIECBAgkAYBjd40VEEMBAgQIECAAAECBAgQIECAAAECBAgQKEFAo7cEPFMJECBAgAABAgQIECBAgAABAgQIECCQBgGN3jRUQQwECBAgQIAAAQIECBAgQIAAAQIECBAoQUCjtwQ8UwkQIECAAAECBAgQIECAAAECBAgQIJAGAY3eNFRBDAQIECBQMwLNLVtqJleJVq6AfVq5taulyO3TWqp25eZqn1Zu7Wopcvu0lqot12oX0Oit9grLjwABAgQIECBAgAABAgQIECBAgACBqhfQ6K36EkuQAAECBAgQIECAAAECBAgQIECAAIFqF9DorfYKy48AAQIECBAgQIAAAQIECBAgQIAAgaoX0Oit+hJLkAABAgQIECBAgAABAgQIECBAgACBahcYszf7SpJkU0NjtHW0JxlqDAECBAgQGHUBf7dGvQQCIECAAAECBAgQIECAAIESBIr9XuuO3hKwTSVAgAABAgQIECBAgAABAgQIECBAgEAaBDR601AFMRAgQIAAAQIECBAgQIAAAQIECBAgQKAEAY3eEvBMJUCAAAECBAgQIECAAAECBAgQIECAQBoENHrTUAUxECBAgAABAgQIECBAgAABAgQIECBAoAQBjd4S8EwlQIAAAQIECBAgQIAAAQIECBAgQIBAGgQ0etNQBTEQIECAAAECBAgQIECAAAECBAgQIECgBAGN3hLwTCVAgAABAsUKNLdsKXaK8QTKLmCflp3cBYcgYJ8OAc2UsgvYp2Und8EhCNinQ0AzhUBKBTR6U1oYYREgQIAAAQIECBAgQIAAAQIECBAgQCCpgEZvUinjCBAgQIAAAQIECBAgQIAAAQIECBAgkFIBjd6UFkZYBAgQIECAAAECBAgQIECAAAECBAgQSCqg0ZtUyjgCBAgQIECAAAECBAgQIECAAAECBAikVGDM3uwrSWxNDY3R1tGeZKgxBAgQIEBg1AX83Rr1EgiAAAECBAgQIECAAAECBEoQKPZ7rTt6S8A2lQABAgQIECBAgAABAgQIECBAgAABAmkQ0OhNQxXEQIAAAQIECBAgQIAAAQIECBAgQIAAgRIENHpLwDOVAAECBAgQIECAAAECBAgQIECAAAECaRDQ6E1DFcRAgAABAgQIECBAgAABAgQIECBAgACBEgQ0ekvAM5UAAQIECBAgQIAAAQIECBAgQIAAAQJpENDoTUMVxECAAIFaF+jaFFec8oY4Y+XWyNS6hfwJECBAgAABAgQIECBAgMAQBDR6h4BmCgECBAgMp8CLsfmLy+POXVq8w6lqLQIECBAgQIAAAQIECBCoLQGN3tqqt2wJECCQMoFMdLV8Oa556LfxRymLbKTCaW7ZMlJLW5fAsAnYp8NGaaERFLBPRxDX0sMmYJ8OG6WFRlDAPh1BXEsTKLOARm+ZwV2OAAECBPoJdLXEtf9QF5/94rkxtt9hbwkQIECAAAECBAgQIECAAIHiBDR6i/MymgABAgSGTSD3yIZbIz79qZh5tD9Hw8ZqIQIECBAgQIAAAQIECBCoSQHfrGuy7JImQIDAaAvkHtnwlfjH+FBcMeuY0Q7G9QkQIECAAAECBAgQIECAQMULaPRWfAklQIAAgVIEsg3X1ntj7cpFcdqUZbG5u8i1Mu2xec2ymDupMZoacv+dHotXbozWrsP8sFpmZ9x1x+/GX181K8YVeUnDCRAgQIAAAQIECBAgQIAAgUMFNHoPNXGEAAECVS+Qad8c67+Wa9BOjBnzLo0Vq5pjV5FZZ9o3xEWnvTMW3bI73r3h36Ktoz12bL4yjn3kmrjgrItjbWtngRX3RNu6NdH+voti5ri6AmOq9/DsWWdUb3IyqxoB+7RqSlnVidinVV3eqknOPq2aUlZ1IvZpVZdXcjUmoNFbYwWXLgECBCKzNW5ccnu8WDcxzp43NeqHQJJr8n7i/X8TmzpnxJW3fSUWTZvQs0pd47ti+fprYlbnplgx/5JY27bnkNUzbbfH9e1nxeUe2XCIjQMECBAgQIAAAQIECBAgQGCoAkcMdaJ5BAgQIFChAnUzYunGm/cFn5ke//Xj98fqZ4t4ZkNme6xf8oXYlL0F+Pj5C+OCprH5EBPOio8vWh0tqx6NGy7/Zsy8c3E09d24+1zc98WvxKbmrtj07fxpPZ9WXRCTV9XHCRffHi3LZkTftAGGOkSAAAECBAgQIECAAAECBAgcEHBH7wEL7wgQIFB7AnVHxfjxxbRTs8/03XJrrH/slazVhDj9rJMHeMbukTH1HbPihOyI7sf+Ka6997l+rq+N825p7XnMQ+5RD/v/23HPRdnxuQbvXbGjY0ds0eTtZ+YtAQIECBAgQIAAAQIECBA4vIBG7+GNjCBAgACBPoHno+W2B/c9z7f+pHjLnx3Vd6b/m7o3vSVO7bnRtytavvzNaD3Mb7P1n+s9AQIECBAgQIAAAQIECBAgULyARm/xZmYQIECgdgU6H40HH+ral/9xTdFY6MfU6l8XEyf3PtLh2ZbYtO3V2jWTOQECBAgQIECAAAECBAgQKIOAZ/SWAdklCBAgUB0Cmej80ffi4f2P8x0/Po4u+NSHY6NpyriIbdkH+cYLsfNX2ebwtCMLMtRNWxZbOpYVPO8EAQIECBAgQIAAAQIECBAgMLiAO3oH93GWAAECBPoEfhvPPPV07O/zjp0yMV7Xd+7gN78b4yb8Ye/BrvjxT3/ZN+/gkbX2ubllS62lLN8KFLBPK7BoNRiyfVqDRa/AlO3TCixaDYZsn9Zg0aVctQIavVVbWokRIEBguAX+b3R1vpxw0fo4evxr+sZmOndH0pl9k7whQIAAAQIECBAgQIAAAQIEEgto9CamMpAAAQK1LvBCtG3vfT5vjI1Jk14X9QlJul/sjFcSjjWMAAECBAgQIECAAAECBAgQKF5Ao7d4MzMIECBAgAABAgQIECBAgAABAgQIECCQKgGN3lSVQzAECBAgQIAAAQIECBAgQIAAAQIECBAoXuCI4qeYQYAAAQK1KfAHMf6YsdnU9yRI/zfRvvPf+8YN/sNtfcMGfdPU0Djo+YFOFvphidmzzhho+CHHSplfaG7uIoOdSxLbaM8fLIck8Q82P3cuyRoMRnYfpaFGg8WQZI8MNj93Lskao73PSr3+YAZJ8h9sfhoM0xDfYDFUg3GpOZQ6Pw37LEkOg/1vdbA9kjS/wdZIEt9g85PGMFiOSWIY7fmDGSSJf7D5lWJ4uBxy570IEKh8gTF7s68kaeS+YLd1tCcZagwBAgQIVIzAjlh77pxYsS3bvB07P9Y+sTJmFnzw7qvRunJeXLBqR092Y+evi8evm1ngOb1dsXnp2bFow67s2Po44eLbo2XZjKgro0ta/27lvugk/UJRRi6XIpAnYJ/mcfiQUgH7NKWFEVaegH2ax+FDSgXs05QWRlgEsgLFfq/16AbbhgABAgQSCvxenDjx9X2N3Uzn7ni54MxXY3fn/jt/fz8mT/zjsjZ5C4blBAECBAgQIECAAAECBAgQqFIBjd4qLay0CBAgMPwCdTFh+skxpXfh7hc745VCF8n8Op765W96z06Kt04/ptBIxwkQIECAAAECBAgQIECAAIFhENDoHQZESxAgQKBmBE48Pd49/ah96T7583isMzNw6l1Px87nu3vO1U8/M2aeWPB5EAPPd5QAAQIECBAgQIAAAQIECBAoSkCjtygugwkQIFDjAnWTYt6CU/Y9vqH76Xjqmd8OCJJ5Zmfs6OnzjovTF5wTTeV8OO+AETlIgAABAgQIECBAgAABAgSqW0Cjt7rrKzsCBAgMs0D28Q1zPxOX9dzV2x733f5IdB1yhVdj2w9a4tns8frpH48r5r72kBG1fMAPsdVy9Ssnd/u0cmpVy5Hap7Vc/crJ3T6tnFrVcqT2aS1XX+7VJqDRW20VlQ8BAgSGKpDZHbtfLvAohv5r1k2Jj1z/yZhW3x277lkXd7Xt/9G1fYMybbfF8rU7sl3eU+Ky6z/obt7+dt4TIECAAAECBAgQIECAAIEREtDoHSFYyxIgQCD9Apno2np/PPBkb6O2+9G4de3PBrhD99BM6poWxto7LomT4tG44dKV8cP23BrZ9VrXxEULro/WCWfGlRtuikVNYw+d7AgBAgQIECBAgAABAgQIECAw7AJj9mZfSVZtamiMto72JEONIUCAAIFUC3RHx5oFMXv5zwtHOfWqaP7O4mgoPKLnTKZ9c9y64bZYu6o5duWOHD87LvzYgpj/4ZnRMMrP5fV36zDFc5oAAQIECBAgQIAAAQIEUi1Q7Pdajd5Ul1NwBAgQIDBUgWL/IA71OuYRIECAAAECBAgQIECAAIGRECj2e61HN4xEFaxJgAABAgQIECBAgAABAgQIECBAgACBMgpo9JYR26UIECBAgAABAgQIECBAgAABAgQIECAwEgIavSOhak0CBAgQIECAAAECBAgQIECAAAECBAiUUUCjt4zYLkWAAAECBJpbtkAgkHoB+zT1JRJgVsA+tQ0qQcA+rYQqidE+tQcIVI+ARm/11FImBAgQIECAAAECBAgQIECAAAECBAjUqIBGb40WXtoECBAgQIAAAQIECBAgQIAAAQIECFSPgEZv9dRSJgQIECBAgAABAgQIECBAgAABAgQI1KiARm+NFl7aBAgQIECAAAECBAgQIECAAAECBAhUj8CYvdlXknSaGhqjraM9yVBjCBAgQIDAqAv4uzXqJRAAAQIECBAgQIAAAQIECJQgUOz3Wnf0loBtKgECBAgQIECAAAECBAgQIECAAAECBNIgoNGbhiqIgQABAgQIECBAgAABAgQIECBAgAABAiUIaPSWgGcqAQIECBAgQIAAAQIECBAgQIAAAQIE0iCg0ZuGKoiBAAECBAgQIECAAAECBAgQIECAAAECJQho9JaAZyoBAgQIECBAgAABAgQIECBAgAABAgTSIKDRm4YqiIEAAQIECBAgQIAAAQIECBAgQIAAAQIlCGj0loBnKgECBAgQKFaguWVLsVOMJ1B2Afu07OQuOAQB+3QIaKaUXcA+LTu5Cw5BwD4dApopBFIqoNGb0sIIiwABAgQIECBAgAABAgQIECBAgAABAkkFNHqTShlHgAABAgQIECBAgAABAgQIECBAgACBlApo9Ka0MMIiQIAAAQIECBAgQIAAAQIECBAgQIBAUgGN3qRSxhEgQIAAAQIECBAgQIAAAQIECBAgQCClAmP2Zl9JYmtqaIy2jvYkQ40hQIAAAQKjLuDv1qiXQAAECBAgQIAAAQIECBAgUIJAsd9r3dFbArapBAgQIECAAAECBAgQIECAAAECBAgQSIOARm8aqiAGAgQIECBAgAABAgQIECBAgAABAgQIlCCg0VsCnqkECBAgQIAAAQIECBAgQIAAAQIECBBIg4BGbxqqIAYCBAgQIECAAAECBAgQIECAAAECBAiUIKDRWwKeqQQIECBAgAABAgQIECBAgAABAgQIEEiDgEZvGqogBgIECBAgQIAAAQIECBAgQIAAAQIECJQgoNFbAp6pBAgQIECgWIHmli3FTjGeQNkF7NOyk7vgEATs0yGgmVJ2Afu07OQuOAQB+3QIaKYQSKmARm9KCyMsAgQIECBAgAABAgQIECBAgAABAgQIJBXQ6E0qZRwBAgQIECBAgAABAgQIECBAgAABAgRSKqDRm9LCCIsAAQIECBAgQIAAAQIECBAgQIAAAQJJBTR6k0oZR4AAAQIECBAgQIAAAQIECBAgQIAAgZQKjNmbfSWJramhMdo62pMMNYYAAQIECIy6gL9bo14CARAgQIAAAQIECBAgQIBACQLFfq91R28J2KYSIECAAAECBAgQIECAAAECBAgQIEAgDQIavWmoghgIECBAgAABAgQIECBAgAABAgQIECBQgoBGbwl4phIgQIAAAQIECBAgQIAAAQIECBAgQCANAhq9aaiCGAgQIECAAAECBAgQIECAAAECBAgQIFCCgEZvCXimEiBAgAABAgQIECBAgAABAgQIECBAIA0CGr1pqIIYCBAgQIAAAQIECBAgQIAAAQIECBAgUIKARm8JeKYSIECAAAECBAgQIECAAAECBAgQIEAgDQIavWmoghgIECBAoGYEmlu21EyuEq1cAfu0cmtXS5Hbp7VU7crN1T6t3NrVUuT2aS1VW67VLqDRW+0Vlh8BAgQIECBAgAABAgQIECBAgAABAlUvoNFb9SWWIAECBAgQIECAAAECBAgQIECAAAEC1S6g0VvtFZYfAQIECBAgQIAAAQIECBAgQIAAAQJVL6DRW/UlliABAgQIECBAgAABAgQIECBAgAABAtUuMGZv9pUkyaaGxmjraE8y1BgCBAgQIDDqAv5ujXoJBECAAAECBAgQIECAAAECJQgU+73WHb0lYJtKgAABAgQIECBAgAABAgQIECBAgACBNAho9KahCmIgQIAAAQIECBAgQIAAAQIECBAgQIBACQIavSXgmUqAAAECBAgQIECAAAECBAgQIECAAIE0CGj0pqEKYiBAgAABAgQIECBAgAABAgQIECBAgEAJAhq9JeCZSoAAAQIECBAgQIAAAQIECBAgQIAAgTQIaPSmoQpiIECAAAECBAgQIECAAAECBAgQIECAQAkCGr0l4JlKgAABAgSKFWhu2VLsFOMJlF3APi07uQsOQcA+HQKaKWUXsE/LTu6CQxCwT4eAZgqBlApo9Ka0MMIiQIAAAQIECBAgQIAAAQIECBAgQIBAUgGN3qRSxhEgQIAAAQIECBAgQIAAAQIECBAgQCClAhq9KS2MsAgQIECAAAECBAgQIECAAAECBAgQIJBUQKM3qZRxBAgQIECAAAECBAgQIECAAAECBAgQSKnAmL3ZV5LYmhoao62jPclQYwgQIECAwKgL+Ls16iUQAAECBAgQIECAAAECBAiUIFDs91p39JaAbSoBAgQIECBAgAABAgQIECBAgAABAgTSIKDRm4YqiIEAAQIECBAgQIAAAQIECBAgQIAAAQIlCGj0loBnKgECBAgQIECAAAECBAgQIECAAAECBNIgoNGbhiqIgQABAgQIECBAgAABAgQIECBAgAABAiUIaPSWgGcqAQIECBAgQIAAAQIECBAgQIAAAQIE0iCg0ZuGKoiBAAECBAgQIECAAAECBAgQIECAAAECJQho9JaAZyoBAgQIECBAgAABAgQIECBAgAABAgTSIKDRm4YqiIEAAQIEakaguWVLzeQq0coVsE8rt3a1FLl9WkvVrtxc7dPKrV0tRW6f1lK15VrtAhq91V5h+REgQIAAAQIECBAgQIAAAQIECBAgUPUCGr1VX2IJEiBAgAABAgQIECBAgAABAgQIECBQ7QIavdVeYfkRIECAAAECBAgQIECAAAECBAgQIFD1Ahq9VV9iCRIgQIAAAQIECBAgQIAAAQIECBAgUO0CY/ZmX0mSbGpojLaO9iRDjSFAgAABAqMu4O/WqJdAAAQIECBAgAABAgQIECBQgkCx32vd0VsCtqkECBAgQIAAAQIECBAgQIAAAQIECBBIg4BGbxqqIAYCBAgQIECAAAECBAgQIECAAAECBAiUIKDRWwKeqQQIECBAgAABAgQIECBAgAABAgQIEEiDgEZvGqogBgIECBAgQIAAAQIECBAgQIAAAQIECJQgoNFbAp6pBAgQIECAAAECBAgQIECAAAECBAgQSIOARm8aqiAGAgQIECBAgAABAgQIECBAgAABAgQIlCCg0VsCnqkECBAgQKBYgeaWLcVOMZ5A2QXs07KTu+AQBOzTIaCZUnYB+7Ts5C44BAH7dAhophBIqYBGb0oLIywCBAgQIECAAAECBAgQIECAAAECBAgkFdDoTSplHAECBAgQIECAAAECBAgQIECAAAECBFIqoNGb0sIIiwABAgQIECBAgAABAgQIECBAgAABAkkFNHqTShlHgAABAgQIECBAgAABAgQIECBAgACBlAqM2Zt9JYmtqaEx2jrakww1hgABAgQIjLqAv1ujXgIBECBAgAABAgQIECBAgEAJAsV+r3VHbwnYphIgQIAAAQIECBAgQIAAAQIECBAgQCANAhq9aaiCGAgQIECAAAECBAgQIECAAAECBAgQIFCCgEZvCXimEiBAgAABAgQIECBAgAABAgQIECBAIA0CGr1pqIIYCBAgQIAAAQIECBAgQIAAAQIECBAgUIKARm8JeKYSIECAAAECBAgQIECAAAECBAgQIEAgDQIavWmoghgIECBQcwJ7oqPly7H4lMmR+xXRpobTY/ENm6IjU3MQEiZAgAABAgQIECBAgAABAsMioNE7LIwWIUCAAIHkApnoavm7WLDwK9Gyq7t32rPRctPH4qz3rIk2zd7klEYSIECAAAECBAgQIECAAIFeAY1eW4EAAQIEyiuQeTxu/rvt8bY1LbGjoz3aOp6M5nWfilnH10f3Y3fF3dteLW88Zb5ac8uWMl/R5QgUL2CfFm9mRvkF7NPym7ti8QL2afFmZpRfwD4tv7krEhgpAY3ekZK1LgECBAgMKJDZ9os44m9Xx/IzG6OuZ8TYaJj1qbj28rdFfbwQO3/VNeA8BwkQIECAAAECBAgQIECAAIHCAkcUPuUMAQIECBAYfoG6aR+KzxRatv7kOPttxxU66zgBAgQIECBAgAABAgQIECBQQMAdvQVgHCZAgACBcgo8H1u++3gct+jCmDNh332+5by6axEgQIAAAQIECBAgQIAAgUoX0Oit9AqKnwABAiUJZH8YrfXeWLtyUZw2ZVls3v/baEnXzLTH5jXLYu6kxmhqyP13eixeuTFau4r7RbVM27/Et3/59rjmwjf3Ps4haQDGESBAgAABAgQIECBAgAABAjkBjV77gAABAjUokGnfHOu/lmvQTowZ8y6NFauaY1eRDpn2DXHRae+MRbfsjndv+Lfsj6q1x47NV8axj1wTF5x1caxt7Uy2YmZ7rL/yoXjLPy6JmeOq/27e2bPOSOZiFIFRFLBPRxHfpRML2KeJqQwcRQH7dBTxXTqxgH2amMpAAqkX0OhNfYkESIAAgWEWyGyNG5fcHi/WTYyz503N/gBa8a9ck/cT7/+b2NQ5I6687SuxaNqEnkXqGt8Vy9dfE7M6N8WK+ZfE2rY9h1m8M7be8JVofe81sWTGvjUOM8FpAgQIECBAgAABAgQIECBAYAABjd4BUBwiQIBAVQvUzYilG2+OpYsXx4Ur/jYWnlBkqzd3B+6SL8Sm7C3Ax89bGBc0jc3nmnBWfHzR5IjuR+OGy78ZbQWf4rAnOu7+p9g4cUl85fwmj2zIV/SJAAECBAgQIECAAAECBAgUJaDRWxSXwQQIEKgygbqjYvz4Yh6XkH2m75ZbY/1jr2QhJsTpZ50c4w4hOTKmvmNWnJA93v3YP8W19z53yIiIXJP3c7H8qbfH5f2bvJm22PjZ9dFasDk8wFIOESBAgAABAgQIECBAgAABAp7Raw8QIECAQDECz0fLbQ/ue55v/Unxlj87asDJdW96S5zac6NvV7R8+ZsHNW5zTd7LY8GSDdGy6gMxo+dH3Hp/zK3p7XHVc6+JE4vpPQ8YgYMECBAgQIAAAQIECBAgQKC2BNzRW1v1li0BAgRKE+h8NB58qGvfGsc1RWOhH0+rf11MnNz7SIdnW2LTtld7r5uJzrs/FWcteaDAj7+Ni9PfdUr2XmEvAgQIECBAgAABAgQIECBAoBiBI4oZbCwBAgQI1LJAtkn7o+/Fw929BuPHx9EF77w9NpqmZB/qsC37IN94IXb+KtscnnZk9n1dTDj/5th+fi07yp0AAQIECBAgQIAAAQIECAy/gDt6h9/UigQIEKhSgd/GM089Hfv7vGOnTIzXFcz0d2PchD/sPdsVP/7pL/vmFZxSIyeaW7bUSKbSrGQB+7SSq1c7sduntVPrSs7UPq3k6tVO7PZp7dRaptUvoNFb/TWWIQECBIZJ4P9GV+fLCdeqj6PHv6ZvbKZzdySd2TfJGwIECBAgQIAAAQIECBAgQCCxgEZvYioDCRAgUOsCL0Tb9t7n88bYmDTpdVGfkKT7xc54JeFYwwgQIECAAAECBAgQIECAAIHiBTR6izczgwABAgQIECBAgAABAgQIECBAgAABAqkS0OhNVTkEQ4AAAQIECBAgQIAAAQIECBAgQIAAgeIFjih+ihkECBAgUJsCfxDjjxmbTX1PgvR/E+07/71v3OA/3NY3bNA3TQ2Ng54f6GShH5aYPeuMgYYfcqyU+YXm5i4y2LkksY32/MFySBL/YPNz55KswWBk91EaajRYDEn2yGDzc+eSrDHa+6zU6w9mkCT/weanwTAN8Q0WQzUYl5pDqfPTsM+S5DDY/1YH2yNJ8xtsjSTxDTY/aQyD5ZgkhtGeP5hBkvgHm18phofLIXfeiwCByhcYszf7SpJG7gt2W0d7kqHGECBAgEDFCOyItefOiRXbss3bsfNj7RMrY2bBB+++Gq0r58UFq3b0ZDd2/rp4/LqZBZ7T2xWbl54dizbsyo6tjxMuvj1als2IujK6pPXvVu6LTtIvFGXkcikCeQL2aR6HDykVsE9TWhhh5QnYp3kcPqRUwD5NaWGERSArUOz3Wo9usG0IECBAIKHA78WJE1/f19jNdO6OlwvOfDV2d+6/8/f3Y/LEPy5rk7dgWE4QIECAAAECBAgQIECAAIEqFdDordLCSosAAQLDL1AXE6afHFN6F+5+sTNeKXSRzK/jqV/+pvfspHjr9GMKjXScAAECBAgQIECAAAECBAgQGAYBjd5hQLQEAQIEakbgxNPj3dOP2pfukz+PxzozA6fe9XTsfL6751z99DNj5okFnwcx8HxHCRAgQIAAAQIECBAgQIAAgaIENHqL4jKYAAECNS5QNynmLThl3+Mbup+Op5757YAgmWd2xo6ePu+4OH3BOdFUzofzDhiRgwQIECBAgAABAgQIECBAoLoFNHqru76yI0CAwDALZB/fMPczcVnPXb3tcd/tj0TXIVd4Nbb9oCWezR6vn/7xuGLuaw8ZUcsH/BBbLVe/cnK3TyunVrUcqX1ay9WvnNzt08qpVS1Hap/WcvXlXm0CGr3VVlH5ECBAYKgCmd2x++UCj2Lov2bdlPjI9Z+MafXdseuedXFX2/4fXds3KNN2WyxfuyPb5T0lLrv+g+7m7W/nPQECBAgQIECAAAECBAgQGCEBjd4RgrUsAQIE0i+Qia6t98cDT/Y2arsfjVvX/myAO3QPzaSuaWGsveOSOCkejRsuXRk/bM+tkV2vdU1ctOD6aJ1wZly54aZY1DT20MmOECBAgAABAgQIECBAgAABAsMuMGZv9pVk1aaGxmjraE8y1BgCBAgQSLVAd3SsWRCzl/+8cJRTr4rm7yyOhsIjes5k2jfHrRtui7WrmmNX7sjxs+PCjy2I+R+eGQ2j/Fxef7cOUzynCRAgQIAAAQIECBAgQCDVAsV+r9XoTXU5BUeAAAECQxUo9g/iUK9jHgECBAgQIECAAAECBAgQGAmBYr/XenTDSFTBmgQIECBAgAABAgQIECBAgAABAgQIECijgEZvGbFdigABAgQIECBAgAABAgQIECBAgAABAiMhoNE7EqrWJECAAAECBQSaW7YUOOMwgfQI2KfpqYVICgvYp4VtnEmPgH2anlqIpLCAfVrYxhkClSag0VtpFRMvAQIECBAgQIAAAQIECBAgQIAAAQIEDhLQ6D0IxEcCBAgQIECAAAECBAgQIECAAAECBAhUmoBGb6VVTLwECBAgQIAAAQIECBAgQIAAAQIECBA4SECj9yAQHwkQIECAAAECBAgQIECAAAECBAgQIFBpAmP2Zl9Jgm5qaIy2jvYkQ40hQIAAAQKjLuDv1qiXQAAECBAgQIAAAQIECBAgUIJAsd9r3dFbArapBAgQIECAAAECBAgQIECAAAECBAgQSIOARm8aqiAGAgQIECBAgAABAgQIECBAgAABAgQIlCCg0VsCnqkECBAgQIAAAQIECBAgQIAAAQIECBBIg4BGbxqqIAYCBAgQIECAAAECBAgQIECAAAECBAiUIKDRWwKeqQQIECBAgAABAgQIECBAgAABAgQIEEiDgEZvGqogBgIECBAgQIAAAQIECBAgQIAAAQIECJQgoNFbAp6pBAgQIECAAAECBAgQIECAAAECBAgQSIOARm8aqiAGAgQIEKgZgeaWLTWTq0QrV8A+rdza1VLk9mktVbtyc7VPK7d2tRS5fVpL1ZZrtQto9FZ7heVHgAABAgQIECBAgAABAgQIECBAgEDVC2j0Vn2JJUiAAAECBAgQIECAAAECBAgQIECAQLULaPRWe4XlR4AAAQIECBAgQIAAAQIECBAgQIBA1Qto9FZ9iSVIgAABAgQIECBAgAABAgQIECBAgEC1C4zZm30lSbKpoTHaOtqTDDWGAAECBAiMuoC/W6NeAgEQIECAAAECBAgQIECAQAkCxX6vdUdvCdimEiBAgAABAgQIECBAgAABAgQIECBAIA0CGr1pqIIYCBAgQIAAAQIECBAgQIAAAQIECBAgUIKARm8JeKYSIECAAAECBAgQIECAAAECBAgQIEAgDQIavWmoghgIECBAgAABAgQIECBAgAABAgQIECBQgoBGbwl4phIgQIAAAQIECBAgQIAAAQIECBAgQCANAhq9aaiCGAgQIECAAAECBAgQIECAAAECBAgQIFCCgEZvCXimEiBAgACBYgWaW7YUO8V4AmUXsE/LTu6CQxCwT4eAZkrZBezTspO74BAE7NMhoJlCIKUCGr0pLYywCBAgQIAAAQIECBAgQIAAAQIECBAgkFRAozeplHEECBAgQIAAAQIECBAgQIAAAQIECBBIqYBGb0oLIywCBAgQIECAAAECBAgQIECAAAECBAgkFdDoTSplHAECBAgQIECAAAECBAgQIECAAAECBFIqMGZv9pUktqaGxmjraE8y1BgCBAgQIDDqAv5ujXoJBECAAAECBAgQIECAAAECJQgU+73WHb0lYJtKgAABAgQIECBAgAABAgQIECBAgACBNAho9KahCmIgQIAAAQIECBAgQIAAAQIECBAgQIBACQIavSXgmUqAAAECBAgQIECAAAECBAgQIECAAIE0CGj0pqEKYiBAgAABAgQIECBAgAABAgQIECBAgEAJAhq9JeCZSoAAAQIECBAgQIAAAQIECBAgQIAAgTQIaPSmoQpiIECAAAECBAgQIECAAAECBAgQIECAQAkCGr0l4JlKgAABAgQIECBAgAABAgQIECBAgACBNAho9KahCmIgQIAAgZoRaG7ZUjO5SrRyBezTyq1dLUVun9ZStSs3V/u0cmtXS5Hbp7VUbblWu4BGb7VXWH4ECBAgQIAAAQIECBAgQIAAAQIECFS9gEZv1ZdYggQIECBAgAABAgQIECBAgAABAgQIVLuARm+1V1h+BAgQIECAAAECBAgQIECAAAECBAhUvYBGb9WXWIIECBAgQIAAAQIECBAgQIAAAQIECFS7gEZvtVdYfsMr0NUaG7+2LOZOOjWuaOka3rVHZbVMdG29MZtPYzSd8snY2L5nVKIY2YvWQo4jK2j14RWYPeuM4V3QagRGQMA+HQFUSw67gH067KQWHAEB+3QEUC057AL26bCTWpDAqAlo9I4avQtXkrpKzWQAAEAASURBVECmfXOsXTonprz5vLj82g3xRHclRT9YrK9E6z/ftS+fXQ/EZ1f9JKomtb60ayHHvmS9IUCAAAECBAgQIECAAAECBGpUQKO3Rgsv7WIEdsT6v/58PLD9hSpsgh4V0957QZxUn/U4/t3x9xefGrm31fWqhRyrq2KyIUCAAAECBAgQIECAAAECBIoXGLM3+0oyramhMdo62pMMNYZAlQo8Fxs/ek5c3px7ZMPx8Z51D8a1s8ZVaa41nFbn/XHdfX8SSxdOrmGE6kjd363qqKMsCBAgQIAAAQIECBAgUKsCxX6vdUdvre4UeQ9B4JiYfsqkIcwzpXIEXo3WtWvjx5nKiVikBAgQIECAAAECBAgQIECAAIGcgEavfUCAAIFegUzbbbF87Q4eBAgQIECAAAECBAgQIECAAIGKE9DorbiSCZgAgRER6PpJ3Hjp/4rW6vs1uhHhsigBAgQIECBAgAABAgQIECCQLgGN3nTVQzQECIyCQKb9u3H1hy6M1dteGYWru2StCTS3bKm1lOVbgQL2aQUWrQZDtk9rsOgVmLJ9WoFFq8GQ7dMaLLqUq1ZAo7dqSyuxsgl0b44rpjRG7gHZB/47Na5oyf1o2/5XV2xeemq/87mxb4i5awZ6TEBntN791bji3KnxxqWbY98Nppnoat0Y13309N41psbcpXdEa1f/h8nuiY6WW/uNmRynffTLsbl9z/4gBv63qzU2fm1ZzJ10cMz9hmfaY/O6FbH4lOx1+2I+EGdP3pPmxBVrNkdH/5D6LXHgbS7Ob8XqpXNiSp9ZLtYVsfbu1uivdmDOgXeZ9s2xtt/cKecui9W5eZntsfaqb0XHgaEH3hXMMZvDmo/FX8z8RNzR1+TdE08sf+eBWk15Z8x95xsOfO6LOVfDAcza18TcvDHZceeuGTiuAxF6R4AAAQIECBAgQIAAAQIECBAoSUCjtyQ+kwlkBepnxrXb26Pt8W/HhVOPKkAyLmZe95PBx/Q1I/88LlhyQ9zZ13jMNSMvjnPmLYnVzc/2rv9KPLHhyrjgrM/G5p5mb2dsXfmBOGvh5/qN6Y5dzV+JRe+/PDYe0uzNNY7v3ddsffN5cfm1G+KJgR5ZkItp5aI4rWlWLPq7m6NlV++gTFts/Njc/Di7t8Wdyy+MBVduKtys7doaaz96Zsy+6kfxm7P+IX7RkXXreDKa110cf/qL9bFiyXlxyrk3xta8BvZ+0mzMW2+M89/xt/HTYy+J77Xl5rbH9lvfF+N/ek2c0nR2rPjf/9/+wdl/k+Q4IaYtvjkeya2zbn6M7Zk9Nk66+vs9a+fWb9v+/bj3+/8ad119Zhzft3p9HD//5tja8ZO4dta4vqM9bxoXx70dj8T1s3PHT4hZV98VW7+zOBryR/lEgAABAgQIECBAgAABAgQIEBhWAY3eYeW0WE0LjPvzmP+XUwYnKDjmudi4ZOEADdcXsw3cT8fynbPipsefyjYfn4qt91wVs46v33edXQ/Gt5t/kR1zcXxmx+mxavOT+xqUj98VV84+oXfM9+MfN/wi2/bs98o8Hjd/cmlct2Fb7x3D/c71ve2NaVVz7Oo7ln2T+X9j7Xs+Hg82XRp37Y/p7kvipJ6Qss3le+6Mls68q+2bnbvjduFHYsVDJ8SVt90Un5nVGHU9Z8ZGw6xL42u3fyHOzObVve2mWPChfzi02ZuL+a9Xx/a/uDSuvezMaNg3OWLctHjPdWtj1fzX948yG2eSHPOnFP6Uawgvjy/0XaMujpn0+jioxXvI9PrpH4orFs447LhDJjpAgAABAgQIECBAgAABAgQIEChSQKO3SDDDCYyMwGvjvFtaexq5P7vxzOht48aee26L+6f/Xfzzde+LaeNync26bF9zYVx7+dt6x3RFy5JPxNfGL4v7brk0Zjbuuyc1xs2IRdddGrN6m6/P3v/D2Na/91o3I5b+647s9fbfeTpQVvtj+kXcdfHk3gHZxxrceGu8dPW3Y82y8w7ENOPi+Nyi3jHdP48Hf/T8QQvuibZ1n48bHtsTx89bGBc09cbZb1Rd4/mxvDev7m2r41NfbMm7Mziz7YfxL88OdNtxbpFjYuayT8WsI/ovmCTHfuMP+zZ7jauujvf0NNmzDt+4J1r7m/af3/loPPhQxOkLzomm/Q3p/ue9J0CAAAECBAgQIECAAAECBAgMs4BG7zCDWo5AaQJ18YdHH917p2vE2HmfjmvO3H/n6/6V62LC9JOj797hqR+KqxcPcNfouNfHpON6W8b/+VJ0/ff++f3/HReNk4/tf2CA90fGm05+84HHGiy9NpbOmHDQuP5j9sSLL/2f/PNdD8eaW7Zm7x7+/fjTt76xwB2u2bzmXhgLT8jFnLszeF3c1Xbg+cL/vful+M/cmYfujHv6He+70IRT4uy3DvTojCQ59q0y+Jtxp8V75zXuG/Psg/HPW14cYHy2qb3xznj4uPfFx+e+doDzDtW6wOxZZ9Q6gfwrQMA+rYAiCTHsU5ugEgTs00qokhjtU3uAQPUIaPRWTy1lUiUC9Y0TY9LhcjlhYkw59KbY/Fl1R8X48Ye7nbQ+jh7/mvx5w/4pE53Nd8a9Pc/3nRRvnX5M4SvUvSHO/MveRmr34/FAyzN9Y3/n6PHxR7lP3Y/GirPeG1dsOPiH27J3IC973wDPwh3OHI+MaYsu7L1T+um496Z7o+3gu3ozv4i7v/F4HPeXb4+ph+Pvy84bAgQIECBAgAABAgQIECBAgEBpAhq9pfmZTYDAYQVeiW0/fWKQZwH3X+D34sSJr+99LMWe2LnzP/rm1U2dEx+c3nvHbu6H35aeFzNOWRTX3X1ww7f/eiPwfsJZ8fHex1R0P3ZX3L3t1byL7HvExIlxzjve0Hdndt4AHwgQIECAAAECBAgQIECAAAECIyCg0TsCqJYkQKC/wAvRtr2r/4FB3uc/umLP9qfiP/aPrpsSi9atP/Ajc7nju5pj9ZJ9Dd8vtbTn/+Dc/nnD/u+RMfWCC2Jaz1MxdsS6m74XnX3XeDEeuv3BeH72hfHRaUf2HfWGAAECBAgQIECAAAECBAgQIDDSAhq9Iy1sfQIE+gn8V7zUVegH1fYN6//oivpjJkTeU3dzPzJ3y6ZoXpf94bWeH0XrXTrb8P3qwjlx/lXfjY6DH6XQ7+rD9bau6Zz4wF+M61muu3l13NLae1dv58Px7Xv+K05/1ylx8FOMh+va1iFAgAABAgQIECBAgAABAgQIDCSg0TuQimMECAyjwB/E+GP2P1D4hdj5q6R399bHcZNfP8APt42NhlmXxppHfxJ33XhRv4bvK/HEt6+Iy9ZtL8Odva+NOZe8L07oUWqP+25/JLqyV+380ffi4Tg5zn7bccPoZykCBAgQIECAAAECBAgQIECAwOEFNHoPb2QEgYQCvxNHjR/X+3zZhFNqYtgxMf2U/T8v95vY8dSvB23EZrpeit09Lo2Hec7thJh2/rJY88j3Y/UHpva6vxKt37gvtpXjrt5pH4y/np27q7c7dt2zLu7asS3uue3ncVz2x9rmTPArbDWxtSVJgAABAgQIECBAgAABAgRSJKDRm6JiCKXSBfo/X7Yrtre9UOkJDVP89fE/Zp3Z+0zb7nj2nrvjoa5CndhMdP2qLZ7PXfmEWXHm1APPue1u+fv4xN3PHRpTXWO8/Yur4os9Tdfs6f98Kbr++9Bhw3/kuJi14Ow4Prdw99ZYf9lnY/1jxx6mOT38UViRAAECBAgQIECAAAECBAgQIJAT0Oi1DwgMo8DvHD0+/qhnvT2x/dH/3e9HunIHs03M1q/H8lse771iJna/9Mqgd7f2Dqz4f+qa5sYn5r1+Xx67Hoiv3rmzQN4vxbaf7sjeI3tUTPvwnJiad2Ps/4lHvvvoQab7afrdNTx5YjT2/FDa/nPJ/j1Qu6R1qYtxZ5wfc07IXSx7V++2X8Sug5rTya5sVK0JNLdsqbWU5VuBAvZpBRatBkO2T2uw6BWYsn1agUWrwZDt0xosupSrVkCjt2pLK7HhF+jONmb/q3fZge/YrZv69jinp/GXbf099I340qb2fQ3NTHtsXnNVLPr7/4x3zHtT7xrZu1tXfSTOX/LJmHvemujYf7T9qdjZ+z7TuTte7n2f98/Lu6Nz/02xL2UfdbD/ff9BmVfipZd6T+xpj7ZnB/oRtP457YnO3b0/KtZ/nWwGL+/e3duY3RM7d/5Htq052GugMcfEzKtWxIVTcz+tln28wnWfj/Vtew5ZJNN2b3z1nufi+Hf8TdywcErk9Xmzo7ubr4kL1wz0DN79eWQbxH95evyPvJX3n8sdLJRjRN2Jk2JyT4O4313H2br98KpL40v7f2wtb93sh7o3x0cvfVvvYyPGxaxLPxjTDg764Dk+EyBAgAABAgQIECBAgAABAgRGQECjdwRQLVmdApn2B2L1Pe29yWXv2L3//th68CMI6t4Y5394xr7GX/e2uGPxrJjc0BhNTbPi4vuPjSvXXRonjz+iH9Br4phjT46/vvGD0ZA7mmmL++/4cbYdue/V/dC34patnb2f9v/TGVvXfise3t9tfTYb171tB90huyc67v163NfX3N0eD2z4t+wPhuW/8nPqioe/cfuhOWV2Zp89+2hfc3fPQxvj/vb9Efaud1DcA44Zd2os+cdr4325Zm/3o7FiwSXxpZbeRng2446WL8dFC74Uv575hbht1fxoGLBhmm0SL58f5y/9amxs3e/SGa0bvhCfX/vrOOkD1x7SIE6UYy6NcX8abz0p14jOvnbdHovePDFbtzlx02vmx8JpBx4hsW/A/v9bFxNmvyfmHp/tENf7Ebb9Kv4lQIAAAQIECBAgQIAAAQIEyi+g0Vt+c1esOIGu2Lz01Jg8c1ls2rW/u5rtVW67KeZnm4FvXLq5rwkaMTaaFt8Ut994UczKNf9yr/qp8Z6r18X37lkSM8b1di+Pnx0X/u26aG57ONYs+1DMbKyLjjXzs43Ft8flP3h237zc/+1ujdXn/3k0TVkWm7OX7m5ZFm9s+POYv6q13zWfjU1L3p5tKM+Pte3ZQe1rYm7DG2L2kgdiV99Kr8QTqz4QMxpOjStacu3ewXJ6U8xdsyN38d6Yzo4Vj73St1JkH71w+cw3RNO5ubuQ9485KO68MQem1jW+K5Z/Z3PcdeNl8Z5jfxZfXdjbCG94S3z6e78bZ6/613jk5kJN3j+It934SOzY/I8xZ9LL8eDFp0ZTromezemS7x8Vc1bfF3d/8V39GsRJcjwQW9RNiUXr1seVs0/YdzBXt+u+EV9fdmrkfnKt4GvcG+Mtb/z9qP+Ls+IMP8JWkMkJAgQIECBAgAABAgQIECBAYGQFxuzNvpJcItdQaevYfzdjkhnGECBAoAYEOjfG4lNWx6QN98TSgnf+1oBDClNM69+t3DPQZs86I4ViQiJwQMA+PWDhXXoF7NP01kZkBwTs0wMW3qVXwD5Nb21ERqDY77UavfYMAQIEhizwarSunBcX3D8r7tqyzPN5h+w4MhOL/YM4MlFYlQABAgQIECBAgAABAgQIDE2g2O+1Ht0wNGezCBAgkH2m8pOx6f4XYtqH58TUAZ8pDIkAAQIECBAgQIAAAQIECBAgUB4Bjd7yOLsKAQJVJ5CJri13x33PnxwfOG9S6PNWXYElRIAAAQIECBAgQIAAAQIEKkpAo7eiyiVYAgRGRSDTFhs/dnr2h98mx2kfXRkbWzsj0353XHHVg/HHSz8Tc/wI26iUxUUJECBAgAABAgQIECBAgACBAwJHHHjrHQECBAgMKPDfz8TPHnq259Su5q/F5bn/4qg46eLV8fXFU9zNOyCagwQIECBAgAABAgQIECBAgEA5BdzRW05t1yJAoDIF6k+Ni/7XX8VJ9bnw6+P42RfF9fdsjnuXnRrjKjMjURMgQIAAAQIECBAgQIAAAQJVJuCO3iorqHQIEBgJgbHRcObn4t6dnxuJxa1JgAABAgQIECBAgAABAgQIEChZwB29JRNagAABAgQIJBdobtmSfLCRBEZJwD4dJXiXLUrAPi2Ky+BRErBPRwneZYsSsE+L4jKYQKoFNHpTXR7BESBAgAABAgQIECBAgAABAgQIECBA4PACGr2HNzKCAAECBAgQIECAAAECBAgQIECAAAECqRbQ6E11eQRHgAABAgQIECBAgAABAgQIECBAgACBwwto9B7eyAgCBAgQIECAAAECBAgQIECAAAECBAikWmDM3uwrSYRNDY3R1tGeZKgxBAgQIEBg1AX83Rr1EgiAAAECBAgQIECAAAECBEoQKPZ7rTt6S8A2lQABAgQIECBAgAABAgQIECBAgAABAmkQ0OhNQxXEQIAAAQIECBAgQIAAAQIECBAgQIAAgRIENHpLwDOVAAECBAgQIECAAAECBAgQIECAAAECaRDQ6E1DFcRAgAABAgQIECBAgAABAgQIECBAgACBEgQ0ekvAM5VAaQKd0brh83HFuh0DLLMnOlq+FauXzokp2R9CzD18u+e/SXPiiq+tibV3t0ZXdlam7da4esD5AyxZc4cy0dV6b6xduShOm7IsNncXBuhu+Xy8b+kd0dqVKTzIGQIECBAgQIAAAQIECBAgQIBAigU0elNcHKFVr0Cm/btx9bnvjs//25/Ee89ryk+0a2us/eiZMXvh38WtnW+LVZufjLaO9ux/T8XWDR+Jxl89EDcsOS9mZJu/k2eviF/oTeb5Zdo3x/qvLYu5kybGjHmXxopVzbErb8ShH+pnXRLLJrXEJSefF1dvag+khxo5QoAAAQIECBAgQIAAAQIECKRbQKM33fURXdUJZO8y3XpjnP+OFdH54W/F3de9L6aNqzuQZaYtNi79dKxofj6On//V+JdbLo2ZjWN7z9fFuGlz48Lr/jm+t+av4qT6A9O86xXIbI0bl9weL9ZNjLPnTY3kRBNi2uJV8S93/EX84uNz4vyVP+m5Y5orgZEQaG7ZMhLLWpPAsArYp8PKabERErBPRwjWssMqYJ8OK6fFRkjAPh0hWMsSGAWBI0bhmi5JoEYFck3ef4i/et834oilG+Kr5zdFvxZv1iQTnfeujKt+8GxE/ZmxZNmsGDeg1NhoOHNZ3Lh0e5yz/PEBR9TswboZsXTjzfvSz0yP//rx+2P1s4M8syEPKttIn/Hp+Prqzjhn4YXxV7E6vr7s1AI1yJvoAwECBAgQIECAAAECBAgQIEBg1AXc0TvqJRBArQhk2u+OKz6xOraf9MlYuXDKQU3enMLzseW7P4+etmTd0XH0H+a3gfOdxkbTws/FZdOPyj/s0wGBuqNi/PjBDA8MPfAu2+yddWl8Yf74eGLVlXFty4sHTnlHgAABAgQIECBAgAABAgQIEEixgEZviosjtCoSyGyP9Uu+EJt2NcbCzy6IpoH6j5lfx1O//M2+pDPPRNszewYHqJsU8xa8NdyWPzhT8WePiZlXXR3vOf65uPPCT8XatsPUofgLmEGAAAECBAgQIECAAAECBAgQGHYBjd5hJ7UggYMFco9k+FLc8NgrUT/9gjh/6pEHD9j3uf8dqN1bY/3K70THoL8Klr379H/+z/ijgVdztBSBcafFe+c1RuTqsPphz+stxdJcAgQIECBAgAABAgQIECBAoCwCGr1lYXaRmhbIPB63fPlH2UcyjI0pZ58x8N28PUAnxIzTTuyl6o5dP1gWZ837fPywvfAdpXVvOjn+/Pf66XZvjiumNEZTQ///To0rWrr6DeqKzUtPPWjMG2Lumh39xvS+zbTH5nUrYvEpU/ud74zWu78aV5w7dd8ak+b8/+zdD3idZX04/G8Xs/VyoqVRYcKryS+FX70m1dKBOGTQVhDU8d8q9p0Kay2g20SkBXSKzgLlz0/GkAoNxeEqrkDBvzhqUovD4R+IK+9esCUmsE6LvLERlKuanfU9J0nbtM1JnpMnJ+c553zOdRWS57nv+/nen+9ND+ebJ/cTl67aMEZRev+hs33kxTHrpHlxaD5r29ZeF7d2vpDtcKsquvxe1Z33RduKRXHszGWxIekWylU1x9GDnT/v+NEbOEsgAwLWaQaSIIQxBazTMYk0yICAdZqBJAhhTAHrdEwiDQhUjYBCb9WkSqDVKVC4m/eWWD3wQLBXx5/+yaGjTCNfXDz77JjduKdJ/6YvxJKT3hWXru0c+a7SxjfHovcevqdD49y4+onu6Prxl2LJrGL7906Ludf82+ht+jpjXaEQ1zovFn361ujYNlSNy3XFug+cHmdffF3cten5wev2b4q7li+JhZetHznGgVbb418ubI0pU6ak/NMaF/7L9j3zLeNXDa87Ot40tXCB7vjGA4/nH5XnlUYg170hbv/8sjj9sBkx54yL4qqV7bEtzYD6EiBAgAABAgQIECBAgAABAnsJ2N5zLw7fEJhogWEPWJv6hjjqdUW2bRi6bEPredH25efi/e++KR7bdadjoZC69My475/Oib/71MXxztlNYwc57U9iwZ/PjFs2/bB426JtfhbrLj4vLmkffhdwfpjc/xtt71wZ33/jRXH3j0+L2dMi+h65YSjW/J2v994VHcvmxZlNI21A/HvxkkOOiDe/+VXF40l0pikOeckk/Xyq8X/H0cdOi7vyDlvbbomvLFpZZG6JAq/vRrlH4vqL74w45ag45YxZ8cTaTYMPHaxvFbMnQIAAAQIECBAgQIAAAQITKqDQO6GcBiOwj0Dvw3H/g0MF08NnRMuwu3X3aTn0bX7f3Tkfji+sfWlccsG1e+6kzZ/t33RnXHrG3XHD/AviMx+/IOa2DNxuOvIwqY6+Ks68rTPOjBeic8UZcfbKwpYOO+Kx6++IP/3yl2LVnD2F5mlzLohPLnpgsE3/D+P+7zwTZ541UjH3ZXHsx+6L734sVWCT3HlatBz+yohCwbv/qXjy6d9GNI1eqJ/kAKvncg1zYum6WwfjzR0Zv/reOXHLwF3u1TMFkRIgQIAAAQIECBAgQIAAgawLTNKtcVlnEB+B8gjknt4Sm4fuzG18RVMU20xh76vni72zF8eqh/4l2j40Pw7e62T+ztn2G2PR3BNj8apHRtkqYa9O4/zmxfG6o96Q31m48JoaRyy9OpYOK/IODjq8zY549pe/HjxcE/9sjAOnv2xoJrZvmLCUDn/o4IQNaiACBAgQIECAAAECBAgQIEBAodcaIFA2gfxDp37aFc8Mjd/QdGC8tJRrNbTE3I+2xYMbbo0Pzt93b9+t0bH87Djm1OvjkT67x5bCmrxtYxzS2jJU6O6PZzY/VebCevLItCRAgAABAgQIECBAgAABAgQI7Cug0LuviO8JTJjA/8Tzv+wb2ou0MV7e9NIYz39wDS0nxkduWx/tqy+Pd+7zgLX+TTfFwvNWR5da74RlrdhA/c/2xtDj54o1cZwAAQIECBAgQIAAAQIECBAgUDEBe/RWjN6Fa1+gP7b/8ldD02zIbwNwQIz0mLJkDlOjed7iuHremfGuVZfFh5avj21DHfsfvTmuvu/tsWrEvXGTjV7+Vr+Kh5a/Ly79Vm/KSzXFyVf/Y3zs2F1bKqQcTncCBAgQIECAAAECBAgQIECAQI0IKPTWSCJNoxYE+mLDdXfFtIsWx+yiFeGmmL14ZXzjyBvi/e++KR4b2P+3L777zYej96wzY89j0rLm8T/x6/96LP71X3+aMrD/FUf8+n9SjqE7gcoKtHdsjPnzjq9sEK5OYAwB63QMIKczIWCdZiINghhDwDodA8jpTAhYp5lIgyAITIjAeH6TfEIubBACtS8w/GFeO2LLlv8a2sZhlJn/sju6x9xzN/+wtjkfjtuuPjEah4bqf+j7sWnooW+jjF7BUwfGW2/uip07d6b80xU3v/XACs7DpQkQIECAAAECBAgQIECAAAEC2RRQ6M1mXkRVEwK/FwdMn7a7GJtoSv/9SNz/nV2PbxutR0M0nXpOnD61WJtxXLvYUI4PCDS+oikOYEGAAAECBAgQIECAAAECBAgQyKiAQm9GEyOsWhDI33n7v1rjoKGp5Hq3x3NjTuu5wW0YxmyXb/B7L43pLx+8p7fx2DfGrF239w70bYiXHnjg0J7AffFE1y+SjKjNXgK5eG779hh8zl1jHHT4a2LaXud9Q4AAAQIECBAgQIAAAQIECBDIjoBCb3ZyIZIaFGh43dHxpqG7bvt/siWeHqwajjrT/vYb49qOZ0dtM3Cy76nY8kxhv4bXxOkLj9tvf97fO3B6vHyg4Y544uH/J/Z+DFou+jq/EMtv+/HQdXL5B8c9P1TUHDpU9//6bTz95FND2200xZuOak3xML26xwRAgAABAgQIECBAgAABAgQIlFnAw9jKDGz4Ohdo/N9x9LHT4q72vohnugb2353dVPRJa0NYT8VdSxZFw803xKdPbBm5uJjrinWXfTY6+hvj4AUfi0vnvWI/6IZZb4m3H3pb3LK1P/of/Mf4P+tnD46X644Nqz8fn7t/WrzrjNdFx8rOfN/+2Lry3DjrF/kHRHXPihvWLY7mfNl3zx2tu/YYPnyUrSiStNkvzMk5kNse25/LV9nHtB8eTl90bx66E7rxiDj69TZuGK5Tia9bm1tKvmzhwRIjvZI+DC1N/2J9C/GMdi5JbJXuP9ocksQ/Wv/CuSRjMCjvOspCjkaLIckaGa1/4VySMSq9ztJefzSDJPMfrX8WDLMQ32gx1IJx2jmk7Z+FdZZkDqP9tzraGkk6v9HGSBLfaP2TxjDaHJPEUOn+oxkkiX+0/tViONYcCue9CBCofoEp+Ycj7UwyjcIH7K6e7iRNtSFAYLdA/s7Zjr+Nt593Z2yLw2PJvffG0tkv3n127y/6YsPSU2LR2m1Dh/NF3PnnxqKF7473zttV8N0RPR1rY+2aVXFL+6/iiPdcHTf83duiecTa8Y7oWnVuvH35w/s9BK5x1odizR0fjKa73hvzl/9w6HqHxrwLFsd7FiyIuS3525BzT0TbOxfEVY8+P3j+4HfEtXdeG2cWzu16FQrOF7w/Lnlga/E2u9pO6r/z7o/cEO9/903x2MBD6g6IIy64Jb6w7E3Jt1/IPRLXHH9OvlAe+WL65+Ib15yYvO+kzrXaLrY52k49La7atCNi6oJoe2xFzN1r25GJm09W37cKH3SSfqCYOA0jEShNwDotzUvryghYp5Vxd9XSBKzT0ry0royAdVoZd1clkESg1M+1tm5IoqoNgXEL5PfpPf6sOO3QQiWrO77xwOOjb4/QdHa0/fjJ/A9VHo/21Z+Ic495SfzkhtPi8PwPWgr/cbc2vzbmL7knfnnUeXHtvRviviuLFXkLAU+N1sU3xZ3Xnx/zDh6qpDXOind+bHV8696LY860oerwwfNjySdWR3vXd2PVsvfmi7wN0bNqQbS2nrKnyFsYbtvX45K5r43WU1dFT750PNjmLXuKvPu1KRyY7NdQXM0zYs5Zu4q8hRiej8dWvifmFAwH4h87rtymb8c38ndDR7TEaeccq8g7NpkWBAgQIECAAAECBAgQIECAQAUFbN1QQXyXrhOBhjfEX150Qqy+eH1s/dq3Y9NH58TsEe/AnRZzl108hNIQzfP+71g0L//t4r+Kq8dN1RSzz1oWq/J/9n81RvPitdG1eN8zxY7v027Evvu0mfRvE8Y+ZlwvxKYHOmJrfqOKgxd8ND5Q9C7sMQfSgAABAgQIECBAgAABAgQIECAwKQLu6J0UZhepb4GGaDr9I/HRI/N7vG69P/55Y4IHrdU3WOVnn3s81n8tv1VN45w4d8lx7uatfEZEQIAAAQIECBAgQIAAAQIECIwhoNA7BpDTBCZEoGFmnHv9x+PEg38Wd13+2djQl38wmFdGBfJ7G6++LlZvPShOvPozcW7rsD2JMxqxsAgQIECAAAECBAgQIECAAAECCr3WAIFJEmhoOSuu/tySOKL37vj4lR3RN0nXdZnSBHJdX4xl1/xHzLzgmrj6rNYYcZeN0obUmsBeAh7EtheHbzIqYJ1mNDHC2kvAOt2LwzcZFbBOM5oYYe0lYJ3uxeEbAlUtoNBb1ekTfHUJ5B/MNufD8YUvL4lX5B+G9v4V/6bYm7EE5rrXxgcX3hz/veiW+MKyN9myodz5yW2P7c+5u73czMYnQIAAAQIECBAgQIAAgfoQUOitjzybZWYECsXei+OeB66OP37ownj7X66KTts4ZCA7vdG59vI465Q10fR36+IeRd4y5SQXfY98Lb7++I7B8fsfjjvafuAHHmXSNiwBAgQIECBAgAABAgQI1JeAQm995dtsMyLQ0PK2WP7Vb8dNb/1Z/PO6roxEVb9h9HfcFCt+NCs++fC6WH5ii+0aJnwp9EfPqgXR2jwj5px1UzzWv+sCz8djK98Tc5pbovXUVdGz67B/EyBAgAABAgQIECBAgAABAiULTNmZfyXp1Zr/IN7Vk38KvRcBAgQIEKgCAe9bVZAkIRIgQIAAAQIECBAgQIBAUYFSP9e6o7copRMECBAgQIAAAQIECBAgQIAAAQIECBCoDgGF3urIkygJECBAgAABAgQIECBAgAABAgQIECBQVEChtyiNEwQIECBAYOIF2js2TvygRiQwwQLW6QSDGq4sAtZpWVgNOsEC1ukEgxquLALWaVlYDUqgIgIKvRVhd1ECBAgQIECAAAECBAgQIECAAAECBAhMnIBC78RZGokAAQIECBAgQIAAAQIECBAgQIAAAQIVEVDorQi7ixIgQIAAAQIECBAgQIAAAQIECBAgQGDiBBR6J87SSAQIECBAgAABAgQIECBAgAABAgQIEKiIwJSd+VeSK7c2t0RXT3eSptoQIECAAIGKC3jfqngKBECAAAECBAgQIECAAAECKQRK/Vzrjt4U2LoSIECAAAECBAgQIECAAAECBAgQIEAgCwIKvVnIghgIECBAgAABAgQIECBAgAABAgQIECCQQkChNwWergQIECBAgAABAgQIECBAgAABAgQIEMiCgEJvFrIgBgIECBAgQIAAAQIECBAgQIAAAQIECKQQUOhNgacrAQIECBAgQIAAAQIECBAgQIAAAQIEsiCg0JuFLIiBAAECBAgQIECAAAECBAgQIECAAAECKQQUelPg6UqAAAECBAgQIECAAAECBAgQIECAAIEsCCj0ZiELYiBAgACBuhFo79hYN3M10eoVsE6rN3f1FLl1Wk/Zrt65WqfVm7t6itw6radsm2utCyj01nqGzY8AAQIECBAgQIAAAQIECBAgQIAAgZoXUOit+RSbIAECBAgQIECAAAECBAgQIECAAAECtS6g0FvrGTY/AgQIECBAgAABAgQIECBAgAABAgRqXkCht+ZTbIIECBAgQIAAAQIECBAgQIAAAQIECNS6wJSd+VeSSbY2t0RXT3eSptoQIECAAIGKC3jfqngKBECAAAECBAgQIECAAAECKQRK/Vzrjt4U2LoSIECAAAECBAgQIECAAAECBAgQIEAgCwIKvVnIghgIECBAgAABAgQIECBAgAABAgQIECCQQkChNwWergQIECBAgAABAgQIECBAgAABAgQIEMiCgEJvFrIgBgIECBAgQIAAAQIECBAgQIAAAQIECKQQUOhNgacrAQIECBAgQIAAAQIECBAgQIAAAQIEsiCg0JuFLIiBAAECBAgQIECAAAECBAgQIECAAAECKQQUelPg6UqAAAECBEoVaO/YWGoX7QlMuoB1OunkLjgOAet0HGi6TLqAdTrp5C44DgHrdBxouhDIqIBCb0YTIywCBAgQIECAAAECBAgQIECAAAECBAgkFVDoTSqlHQECBAgQIECAAAECBAgQIECAAAECBDIqoNCb0cQIiwABAgQIECBAgAABAgQIECBAgAABAkkFFHqTSmlHgAABAgQIECBAgAABAgQIECBAgACBjApM2Zl/JYmttbklunq6kzTVhgABAgQIVFzA+1bFUyAAAgQIECBAgAABAgQIEEghUOrnWnf0psDWlQABAgQIECBAgAABAgQIECBAgAABAlkQUOjNQhbEQIAAAQIECBAgQIAAAQIECBAgQIAAgRQCCr0p8HQlQIAAAQIECBAgQIAAAQIECBAgQIBAFgQUerOQBTEQIECAAAECBAgQIECAAAECBAgQIEAghYBCbwo8XQkQIECAAAECBAgQIECAAAECBAgQIJAFAYXeLGRBDAQIECBAgAABAgQIECBAgAABAgQIEEghoNCbAk9XAgQIECBAgAABAgQIECBAgAABAgQIZEFAoTcLWRADAQIECNSNQHvHxrqZq4lWr4B1Wr25q6fIrdN6ynb1ztU6rd7c1VPk1mk9Zdtca11AobfWM2x+BAgQIECAAAECBAgQIECAAAECBAjUvIBCb82n2AQJECBAgAABAgQIECBAgAABAgQIEKh1AYXeWs+w+REgQIAAAQIECBAgQIAAAQIECBAgUPMCCr01n2ITJECAAAECBAgQIECAAAECBAgQIECg1gWm7My/kkyytbklunq6kzTVhgABAgQIVFzA+1bFUyAAAgQIECBAgAABAgQIEEghUOrnWnf0psDWlQABAgQIECBAgAABAgQIECBAgAABAlkQUOjNQhbEQIAAAQIECBAgQIAAAQIECBAgQIAAgRQCCr0p8HQlQIAAAQIECBAgQIAAAQIECBAgQIBAFgQUerOQBTEQIECAAAECBAgQIECAAAECBAgQIEAghYBCbwo8XQkQIECAAAECBAgQIECAAAECBAgQIJAFAYXeLGRBDAQIECBAgAABAgQIECBAgAABAgQIEEghoNCbAk9XAgQIECBQqkB7x8ZSu2hPYNIFrNNJJ3fBcQhYp+NA02XSBazTSSd3wXEIWKfjQNOFQEYFFHozmhhhESBAgAABAgQIECBAgAABAgQIECBAIKmAQm9SKe0IECBAgAABAgQIECBAgAABAgQIECCQUQGF3owmRlgECBAgQIAAAQIECBAgQIAAAQIECBBIKqDQm1RKOwIECBAgQIAAAQIECBAgQIAAAQIECGRUYMrO/CtJbK3NLdHV052kqTYECBAgQKDiAt63Kp4CARAgQIAAAQIECBAgQIBACoFSP9e6ozcFtq4ECBAgQIAAAQIECBAgQIAAAQIECBDIgoBCbxayIAYCBAgQIECAAAECBAgQIECAAAECBAikEFDoTYGnKwECBAgQIECAAAECBAgQIECAAAECBLIgoNCbhSyIgQABAgQIECBAgAABAgQIECBAgAABAikEFHpT4OlKgAABAgQIECBAgAABAgQIECBAgACBLAgo9GYhC2IgQIAAAQIECBAgQIAAAQIECBAgQIBACgGF3hR4uhIgQIAAgVIF2js2ltpFewKTLmCdTjq5C45DwDodB5ouky5gnU46uQuOQ8A6HQeaLgQyKqDQm9HECIsAAQIECBAgQIAAAQIECBAgQIAAAQJJBRR6k0ppR4AAAQIECBAgQIAAAQIECBAgQIAAgYwKKPRmNDHCIkCAAAECBAgQIECAAAECBAgQIECAQFIBhd6kUtoRIECAAAECBAgQIECAAAECBAgQIEAgowJTduZfSWJrbW6Jrp7uJE21IUCAAAECFRfwvlXxFAiAAAECBAgQIECAAAECBFIIlPq51h29KbB1JUCAAAECBAgQIECAAAECBAgQIECAQBYEFHqzkAUxECBAgAABAgQIECBAgAABAgQIECBAIIWAQm8KPF0JECBAgAABAgQIECBAgAABAgQIECCQBQGF3ixkQQwECBAgQIAAAQIECBAgQIAAAQIECBBIIaDQmwJPVwIECBAgQIAAAQIECBAgQIAAAQIECGRBQKE3C1kQAwECBAgQIECAAAECBAgQIECAAAECBFIIKPSmwNOVAAECBAgQIECAAAECBAgQIECAAAECWRBQ6M1CFsRAgAABAnUj0N6xsW7maqLVK2CdVm/u6ily67Sesl29c7VOqzd39RS5dVpP2TbXWhdQ6K31DJsfAQIECBAgQIAAAQIECBAgQIAAAQI1L6DQW/MpNkECBAgQIECAAAECBAgQIECAAAECBGpdQKG31jNsfgQIECBAgAABAgQIECBAgAABAgQI1LyAQm/Np9gECRAgQIAAAQIECBAgQIAAAQIECBCodYEpO/OvJJNsbW6Jrp7uJE21IUCAAAECFRfwvlXxFAiAAAECBAgQIECAAAECBFIIlPq51h29KbB1JUCAAAECBAgQIECAAAECBAgQIECAQBYEFHqzkAUxECBAgAABAgQIECBAgAABAgQIECBAIIWAQm8KPF0JECBAgAABAgQIECBAgAABAgQIECCQBQGF3ixkQQwECBAgQIAAAQIECBAgQIAAAQIECBBIIaDQmwJPVwIECBAgQIAAAQIECBAgQIAAAQIECGRBQKE3C1kQAwECBAgQIECAAAECBAgQIECAAAECBFIIKPSmwNOVAAECBMYrsCN6Oj4bi485PFqbW/J/jovF162Pntx4x6uefu0dG6snWJHWrYB1Wrepr6qJW6dVla66DdY6rdvUV9XErdOqSpdgCYwqoNA7Ko+TBAgQIDDxArno6/h0LDzvxujY1j80/NbouOkDcfI7V0VXHRR7J97UiAQIECBAgAABAgQIECBQ7wIKvfW+AsyfAAECky2Q+3Hc+ukn4oRVHbG5pzu6eh6P9tV/HfMOboz+R++Oeza9MNkRuR4BAgQIECBAgAABAgQIEKh6AYXeqk+hCRAgQKC6BHKb/iNe9IlbYvmJLdEwEPrUaJ7313H1JSdEY/witvy0r7omJFoCBAgQIECAAAECBAgQIJABgRdlIAYhECBAgEAdCTTMfm98pNh8G4+KU044qNhZxwkQIECAAAECBAgQIECAAIEiAu7oLQLjMAECBKpbIL8Pbud90bZiURw7c1ls2LUVbtJJ5bpjw6plcfphhQelDT0sbcW66Owr1wa6z8TGb/44Dlq0JE5rGrzPN2mo1dZu/rzjqy1k8dahgHVah0mvwilbp1WYtDoM2Tqtw6RX4ZSt0ypMmpAJFBFQ6C0C4zABAgSqUSDXvSFu/3yhQDsj5pxxUVy1sj22lTiRXPfaOP/Yt8ai27bHO9b+KL+Hbnds3nBZvPKhK+Lsky+Its7eEkccu3mu6xvxpZ+8Ja5Y8oah7RzG7qMFAQIECBAgQIAAAQIECBAgsEdAoXePha8IECBQ3QK5R+L6i++MZxtmxClnzMrvd1v6q1Dk/eA5H4/1vXPisjU3xqLZTQODNLS8LZbffkXM610fVy34ULR17Sh98GI9ck/E7Zc9GEf//cUxd1pt381bjMBxAgQIECBAgAABAgQIECCQVsAevWkF9SdAgEBWBBrmxNJ1tw5GkzsyfvW9c+KWrSXs2VAouF78mVifvwX44AXnxdmtU/eeWdPJceGiW6Jj5cNx3SVfjLl3LY7WQl02X2C+5vgk12qMQy+4MzqWzRl2125vPHLdjdH5rivixjmDReW9L+o7AgQIECBAgAABAgQIECBAIImAQm8SJW0IECBQbQINB8T06fkqbOJCb35P3413xO2PPp+f6cFx3MlHxbT95vzimHXSvDh05ebY+ujNcfV9b49VZ70qolBg/tfNsXS/9mMd2BE999wc62ZcHDee1Tqs+DtWP+cJECBAgAABAgQIECBAgACBfQVs3bCviO8JECBQlwLPRMea+wf38208Io5+/QEjKjS87uh408CNvn3R8dkvRue4n81WKPJ+MpY/+Za4ZHiRN9cV6/729hTjjhi2gwQIECBAgAABAgQIECBAoOYF3NFb8yk2QQIECCQQ6H047n+wb7DhQa3RUmyv3MZDYsbh+UrvpvwevVs7Yv2mv4rZs1+c4ALDmxSKvJfEwou/ni8sr405K4efi2icf308ZKvevVF8R4AAAQIECBAgQIAAAQIExhBwR+8YQE4TIECg9gVy0fudb8V3d23nO316HFi00PrKaJ25a1OHX8SWnw4VhxMj5a91z1/HyQNF3pE6TYvj3nZM2K13JBvHCBAgQIAAAQIECBAgQIBAcQGF3uI2zhAgQKBOBH4bTz/5VOyq806dOSMOKTrz349pTS8dOtsX3/v+T3b3K9plrxMN0XTWrfFET3d0jfinc3Df37361NY37R0ba2tCZlOTAtZpTaa15iZlndZcSmtyQtZpTaa15iZlndZcSk2ojgUUeus4+aZOgACBQYHfRV/vcwkxGuPA6S/b3TbXuz2S9tzdyRcECBAgQIAAAQIECBAgQIDAhAso9E44qQEJECBQbQK/iK4ndm3BMDUOO+yQaEw4hf5ne+P5hG01I0CAAAECBAgQIECAAAECBMonoNBbPlsjEyBAgAABAgQIECBAgAABAgQIECBAYFIEFHonhdlFCBAgQIAAAQIECBAgQIAAAQIECBAgUD6BF5VvaCMTIECAQHUIvCSmv2JqPtQdCcL9TXRv+c/d7UZ/cNvuZhPyRWtzS8njFHuwxPx5xycaK03/Yn0LFx7tXJLYKt1/tDkkiX+0/oVzScZgUN51lIUcjRZDkjUyWv/CuSRjVHqdpb3+aAZJ5j9a/ywYZiG+0WKoBeO0c0jbPwvrLMkcRvtvdbQ1knR+o42RJL7R+ieNYbQ5Jomh0v1HM0gS/2j9q8VwrDkUznsRIFD9AlN25l9JplH4gF14QroXAQIECFSDwOZoO/W0uGpTvng7dUG0PbYi5hbdePeF6FxxRpy9cvPAxKYuWB0/vmZukX16+2LD0lNi0dpt+baNcegFd0bHsjnRkEGSrL5vFT7oJP1AkUFWIdWJgHVaJ4mu8mlap1WewDoJ3zqtk0RX+TSt0ypPoPBrWqDUz7W2bqjp5WByBAgQSCLwB/HqGa/ZXdjN9W6P54p2eyG29+668/cP4/AZf5TJIm/R8J0gQIAAAQIECBAgQIAAAQI1KqDQW6OJNS0CBAgkF2iIpiOPiplDHfqf7Y3ni3XO/Tye/Mlvhs4eFm888hXFWjpOgAABAgQIECBAgAABAgQITKKAQu8kYrsUAQIEMivw6uPiHUceMBje4z+MR3tzI4fa91RseaZ/4FzjkSfG3FcX3Q9i5P6OEiBAgAABAgQIECBAgAABAmURUOgtC6tBCRAgUGUCDYfFGQuPGdy+of+pePLp3444gdzTW2LzQJ13Why38O3RmsXNeUeM3EECBAgQIECAAAECBAgQIFDbAgq9tZ1fsyNAgEBCgfz2Dad/JD46cFdvd3zlzoeib7+eL8SmBzpia/5445EXxqWnv2q/Fg6MLeBBbGMbaVF5Aeu08jkQwdgC1unYRlpUXsA6rXwORDC2gHU6tpEWBKpFQKG3WjIlTgIECIxXILc9tj9XZCuG4WM2zIxzr/2rmN3YH9vuXR13d+166Npgo1zXmljetjlf5T0mPnrtX7ibd7idrwkQIECAAAECBAgQIECAQIUFFHornACXJ0CAwMQL5KLvka/F1x8fKtT2Pxx3tP1ghDt0979yQ+t50fblD8UR8XBcd9GK+HZ3YYz8eJ2r4vyF10Zn04lx2dqbYlHr1P07O0KAAAECBAgQIECAAAECBAhUTGDKzvwrydVbm1uiq6c7SVNtCBAgQKAiAv3Rs2phzF/+w+JXn3V5tH91cTQXbzFwJte9Ie5YuybaVrbHtsKRg+fHkg8sjAXvmxvNVbIvr/etMZLsNAECBAgQIECAAAECBAhkWqDUz7UKvZlOp+AIECBAYLwCpb4hjvc6+hEgQIAAAQIECBAgQIAAgXIIlPq51tYN5ciCMQkQIECAAAECBAgQIECAAAECBAgQIDCJAgq9k4jtUgQIECBAgAABAgQIECBAgAABAgQIECiHgEJvOVSNSYAAAQIEigi0d2wscsZhAtkRsE6zkwuRFBewTovbOJMdAes0O7kQSXEB67S4jTMEqk1AobfaMiZeAgQIECBAgAABAgQIECBAgAABAgQI7COg0LsPiG8JECBAgAABAgQIECBAgAABAgQIECBQbQIKvdWWMfESIECAAAECBAgQIECAAAECBAgQIEBgHwGF3n1AfEuAAAECBAgQIECAAAECBAgQIECAAIFqE5iyM/9KEnRrc0t09XQnaaoNAQIECBCouID3rYqnQAAECBAgQIAAAQIECBAgkEKg1M+17uhNga0rAQIECBAgQIAAAQIECBAgQIAAAQIEsiCg0JuFLIiBAAECBAgQIECAAAECBAgQIECAAAECKQQUelPg6UqAAAECBAgQIECAAAECBAgQIECAAIEsCCj0ZiELYiBAgAABAgQIECBAgAABAgQIECBAgEAKAYXeFHi6EiBAgAABAgQIECBAgAABAgQIECBAIAsCCr1ZyIIYCBAgQIAAAQIECBAgQIAAAQIECBAgkEJAoTcFnq4ECBAgQIAAAQIECBAgQIAAAQIECBDIgoBCbxayIAYCBAgQqBuB9o6NdTNXE61eAeu0enNXT5Fbp/WU7eqdq3Vavbmrp8it03rKtrnWuoBCb61n2PwIECBAgAABAgQIECBAgAABAgQIEKh5AYXemk+xCRIgQIAAAQIECBAgQIAAAQIECBAgUOsCCr21nmHzI0CAAAECBAgQIECAAAECBAgQIECg5gUUems+xSZIgAABAgQIECBAgAABAgQIECBAgECtC0zZmX8lmWRrc0t09XQnaaoNAQIECBCouID3rYqnQAAECBAgQIAAAQIECBAgkEKg1M+17uhNga0rAQIECBAgQIAAAQIECBAgQIAAAQIEsiCg0JuFLIiBAAECBAgQIECAAAECBAgQIECAAAECKQQUelPg6UqAAAECBAgQIECAAAECBAgQIECAAIEsCCj0ZiELYiBAgAABAgQIECBAgAABAgQIECBAgEAKAYXeFHi6EiBAgAABAgQIECBAgAABAgQIECBAIAsCCr1ZyIIYCBAgQIAAAQIECBAgQIAAAQIECBAgkEJAoTcFnq4ECBAgQKBUgfaOjaV20Z7ApAtYp5NO7oLjELBOx4Gmy6QLWKeTTu6C4xCwTseBpguBjAoo9GY0McIiQIAAAQIECBAgQIAAAQIECBAgQIBAUgGF3qRS2hEgQIAAAQIECBAgQIAAAQIECBAgQCCjAgq9GU2MsAgQIECAAAECBAgQIECAAAECBAgQIJBUQKE3qZR2BAgQIECAAAECBAgQIECAAAECBAgQyKjAlJ35V5LYWptboqunO0lTbQgQIECAQMUFvG9VPAUCIECAAAECBAgQIECAAIEUAqV+rnVHbwpsXQkQIECAAAECBAgQIECAAAECBAgQIJAFAYXeLGRBDAQIECBAgAABAgQIECBAgAABAgQIEEghoNCbAk9XAgQIECBAgAABAgQIECBAgAABAgQIZEFAoTcLWRADAQIECBAgQIAAAQIECBAgQIAAAQIEUggo9KbA05UAAQIECBAgQIAAAQIECBAgQIAAAQJZEFDozUIWxECAAAECBAgQIECAAAECBAgQIECAAIEUAgq9KfB0JUCAAAECBAgQIECAAAECBAgQIECAQBYEFHqzkAUxECBAgEDdCLR3bKybuZpo9QpYp9Wbu3qK3Dqtp2xX71yt0+rNXT1Fbp3WU7bNtdYFFHprPcPmR4AAAQIECBAgQIAAAQIECBAgQIBAzQso9NZ8ik2QAAECBAgQIECAAAECBAgQIECAAIFaF1DorfUMmx8BAgQIECBAgAABAgQIECBAgAABAjUvoNBb8yk2QQIECBAgQIAAAQIECBAgQIAAAQIEal1gys78K8kkW5tboqunO0lTbQgQIECAQMUFvG9VPAUCIECAAAECBAgQIECAAIEUAqV+rnVHbwpsXQkQIECAAAECBAgQIECAAAECBAgQIJAFAYXeLGRBDAQIECBAgAABAgQIECBAgAABAgQIEEghoNCbAk9XAgQIECBAgAABAgQIECBAgAABAgQIZEFAoTcLWRADAQIECBAgQIAAAQIECBAgQIAAAQL2oKS+AABAAElEQVQEUggo9KbA05UAAQIECBAgQIAAAQIECBAgQIAAAQJZEFDozUIWxECAAAECBAgQIECAAAECBAgQIECAAIEUAgq9KfB0JUCAAAECpQq0d2wstYv2BCZdwDqddHIXHIeAdToONF0mXcA6nXRyFxyHgHU6DjRdCGRUQKE3o4kRFgECBAgQIECAAAECBAgQIECAAAECBJIKKPQmldKOAAECBAgQIECAAAECBAgQIECAAAECGRVQ6M1oYoRFgAABAgQIECBAgAABAgQIECBAgACBpAIKvUmltCNAgAABAgQIECBAgAABAgQIECBAgEBGBabszL+SxNba3BJdPd1JmmpDgAABAgQqLuB9q+IpEAABAgQIECBAgAABAgQIpBAo9XOtO3pTYOtKgAABAgQIECBAgAABAgQIECBAgACBLAgo9GYhC2IgQIAAAQIECBAgQIAAAQIECBAgQIBACgGF3hR4uhIgQIAAAQIECBAgQIAAAQIECBAgQCALAgq9WciCGAgQIECAAAECBAgQIECAAAECBAgQIJBCQKE3BZ6uBAgQIECAAAECBAgQIECAAAECBAgQyIKAQm8WsiAGAgQIECBAgAABAgQIECBAgAABAgQIpBBQ6E2BpysBAgQIEChVoL1jY6ldtCcw6QLW6aSTu+A4BKzTcaDpMukC1umkk7vgOASs03Gg6UIgowIKvRlNjLAIECBAgAABAgQIECBAgAABAgQIECCQVEChN6mUdgQIECBAgAABAgQIECBAgAABAgQIEMiogEJvRhMjLAIECBAgQIAAAQIECBAgQIAAAQIECCQVUOhNKqUdAQIECBAgQIAAAQIECBAgQIAAAQIEMiowZWf+lSS21uaW6OrpTtJUGwIECBAgUHEB71sVT4EACBAgQIAAAQIECBAgQCCFQKmfa93RmwJbVwIECBAgQIAAAQIECBAgQIAAAQIECGRBQKE3C1kQAwECBAgQIECAAAECBAgQIECAAAECBFIIKPSmwNOVAAECBAgQIECAAAECBAgQIECAAAECWRBQ6M1CFsRAgAABAgQIECBAgAABAgQIECBAgACBFAIKvSnwdCVAgAABAgQIECBAgAABAgQIECBAgEAWBBR6s5AFMRAgQIAAAQIECBAgQIAAAQIECBAgQCCFgEJvCjxdCRAgQIAAAQIECBAgQIAAAQIECBAgkAUBhd4sZEEMBAgQIFA3Au0dG+tmriZavQLWafXmrp4it07rKdvVO1frtHpzV0+RW6f1lG1zrXUBhd5az7D5ESBAgAABAgQIECBAgAABAgQIECBQ8wIKvTWfYhMkQIAAAQIECBAgQIAAAQIECBAgQKDWBRR6az3D5keAAAECBAgQIECAAAECBAgQIECAQM0LKPTWfIpNkAABAgQIECBAgAABAgQIECBAgACBWheYsjP/SjLJ1uaW6OrpTtJUGwIECBAgUHEB71sVT4EACBAgQIAAAQIECBAgQCCFQKmfa93RmwJbVwIECBAgQIAAAQIECBAgQIAAAQIECGRBQKE3C1kQAwECBAgQIECAAAECBAgQIECAAAECBFIIKPSmwNOVAAECBAgQIECAAAECBAgQIECAAAECWRBQ6M1CFsRAgAABAgQIECBAgAABAgQIECBAgACBFAIKvSnwdCVAgAABAgQIECBAgAABAgQIECBAgEAWBBR6s5AFMRAgQIAAAQIECBAgQIAAAQIECBAgQCCFgEJvCjxdCRAgQGCCBPrWx6XHvDaOX/FI5CZoyKwO096xMauhiYvAbgHrdDeFLzIsYJ1mODlC2y1gne6m8EWGBazTDCdHaARKFFDoLRFMcwIECBCYaIFnY8OVy+OubbVe4p1oN+MRIECAAAECBAgQIECAAIE9Agq9eyx8RYAAAQKTLpCLvo7PxhUP/jZePunXdkECBAgQIECAAAECBAgQIFA7Agq9tZNLMyFAgED1CfR1xNU3NMTfXnlqTK2+6EVMgAABAgQIECBAgAABAgQyI6DQm5lUCIQAAQL1JlDYsuGOiA//dcw90NtRvWXffAkQIECAAAECBAgQIEBgYgV8sp5YT6MRIEAgAwL57RA674u2FYvi2JnLYkN/iSHlumPDqmVx+mEt0dpc+HNcLF6xLjr7JnIP3cKWDTfG38d749J5rygxwOpuPn/e8dU9AdHXhYB1WhdprvpJWqdVn8K6mIB1WhdprvpJWqdVn0ITILBbQKF3N4UvCBAgUN0Cue4NcfvnCwXaGTHnjIviqpXtsa3EKeW618b5x741Ft22Pd6x9kfR1dMdmzdcFq986Io4++QLoq2zt8QRizTPbYm7v/z78TeXz4tpRZo4TIAAAQIECBAgQIAAAQIECCQXUOhNbqUlAQIEsiuQeySuv/jOeLZhRpxyxqxoHEekhSLvB8/5eKzvnROXrbkxFs1uGhiloeVtsfz2K2Je7/q4asGHoq1rxzhGH95lR3StXhXd7z4/5k5rGH7C1wQIECBAgAABAgQIECBAgMA4BV40zn66ESBAgECWBBrmxNJ1tw5GlDsyfvW9c+KWrSXs2ZB7Im6/+DOxPn8L8MELzouzW/d5NFrTyXHholuiY+XDcd0lX4y5dy2O1kKNNl9gvub4JNdqjEMvuDM6ls2J6Lozru0+Oa5eXF9bNmRpuYiFAAECBAgQIECAAAECBGpPQKG39nJqRgQI1LtAwwExfXq+Cpu40JvfL3fjHXH7o8/n5Q6O404+aoTtFF4cs06aF4eu3BxbH705rr7v7bHqrFdFFArM/7o5liY2/1msu/LGWN/eF+u/NEKnlWfH4Sv3FIXd7zuCkUMECBAgQIAAAQIECBAgQGAEAVs3jIDiEAECBOpL4JnoWHP/4H6+jUfE0a8/YMTpN7zu6HjTwI2+fdHx2S9G57iezfaqOPO2zoG9fwv7/+76s/ne8+PQ/IYTh15wd2zu2Rwb83f+KvKOmAYHCRAgQIAAAQIECBAgQIDAiAIKvSOyOEiAAIE6Euh9OO5/sG9wwge1RkuxfXMbD4kZhw9t6bC1I9ZveqGOkEyVAAECBAgQIECAAAECBAhkW0ChN9v5ER0BAgTKLJCL3u98K767azvf6dPjwKK30r4yWmdOG4rnF7Hlp0PF4TJHaHgCBAgQIECAAAECBAgQIEBgbAGF3rGNtCBAgEANC/w2nn7yqdhV5506c0YcUnS2vx/Tml46dLYvvvf9n+zuV7RLwhMNs5fFxjrZsqG9Y2NCFc0IVE7AOq2cvSsnF7BOk1tpWTkB67Ry9q6cXMA6TW6lJYGsCyj0Zj1D4iNAgEBZBX4Xfb3PJbxCYxw4/WW72+Z6t0fSnrs7+YIAAQIECBAgQIAAAQIECBAoi4BCb1lYDUqAAIFqEfhFdD2xawuGqXHYYYfkH4mW7NX/bG88n6ypVgQIECBAgAABAgQIECBAgECZBRR6ywxseAIECBAgQIAAAQIECBAgQIAAAQIECJRbQKG33MLGJ0CAAAECBAgQIECAAAECBAgQIECAQJkFXlTm8Q1PgAABApkWeElMf8XUfIQ7EkT5m+je8p+7243+4LbdzSbsi9bmlpLHKvZgifnzjk80Vpr+xfoWLjzauSSxVbr/aHNIEv9o/QvnkozBoLzrKAs5Gi2GJGtktP6Fc0nGqPQ6S3v90QySzH+0/lkwzEJ8o8VQC8Zp55C2fxbWWZI5jPbf6mhrJOn8RhsjSXyj9U8aw2hzTBJDpfuPZpAk/tH6V4vhWHMonPciQKD6BabszL+STKPwAburpztJU20IECBAoKICm6Pt1NPiqk354u3UBdH22IqYW3Tj3Reic8UZcfbKzQMRT12wOn58zdwi+/T2xYalp8SitdvybRvj0AvujI5lc6KhonMtfvGsvm8VPugk/UBRfHbOECivgHVaXl+jT4yAdToxjkYpr4B1Wl5fo0+MgHU6MY5GIVAOgVI/19q6oRxZMCYBAgSqRuAP4tUzXrO7sJvr3R7PFY39hdjeu+vO3z+Mw2f8UWaLvEWn4AQBAgQIECBAgAABAgQIEKhRAYXeGk2saREgQCCZQEM0HXlUzBxq3P9sbzxfrGPu5/HkT34zdPaweOORryjW0nECBAgQIECAAAECBAgQIEBgkgUUeicZ3OUIECCQOYFXHxfvOPKAwbAe/2E82psbOcS+p2LLM/0D5xqPPDHmvrrofhAj93eUAAECBAgQIECAAAECBAgQKJuAQm/ZaA1MgACBKhFoOCzOWHjM4PYN/U/Fk0//dsTAc09vic0Ddd5pcdzCt0drVjfnHTF6BwkQIECAAAECBAgQIECAQG0LKPTWdn7NjgABAgkE8ts3nP6R+OjAXb3d8ZU7H4q+/Xq9EJse6Iit+eONR14Yl57+qv1aOJBMwIPYkjlpVVkB67Sy/q6eTMA6TeakVWUFrNPK+rt6MgHrNJmTVgSqQUChtxqyJEYCBAiMVyC3PbY/V2QrhuFjNsyMc6/9q5jd2B/b7l0dd3fteujaYKNc15pY3rY5X+U9Jj567V+4m3e4na8JECBAgAABAgQIECBAgEAGBBR6M5AEIRAgQGDiBHLR98jX4uuPDxVq+x+OO9p+MMIduvtfsaH1vGj78ofiiHg4rrtoRXy7uzBGfrzOVXH+wmujs+nEuGztTbGoder+nR0hQIAAAQIECBAgQIAAAQIEKiowZWf+lSSC1uaW6OrpTtJUGwIECBCYdIH+6Fm1MOYv/2HxK8+6PNq/ujiai7cYOJPr3hB3rF0TbSvbY1vhyMHzY8kHFsaC982N5iral9f71hiJdpoAAQIECBAgQIAAAQIEMi1Q6udahd5Mp1NwBAgQIDBegVLfEMd7Hf0IECBAgAABAgQIECBAgEA5BEr9XGvrhnJkwZgECBAgQIAAAQIECBAgQIAAAQIECBCYRAGF3knEdikCBAgQIECAAAECBAgQIECAAAECBAiUQ0ChtxyqxiRAgAABAkUE2js2FjnjMIHsCFin2cmFSIoLWKfFbZzJjoB1mp1ciKS4gHVa3MYZAtUmoNBbbRkTLwECBAgQIECAAAECBAgQIECAAAECBPYRUOjdB8S3BAgQIECAAAECBAgQIECAAAECBAgQqDYBhd5qy5h4CRAgQIAAAQIECBAgQIAAAQIECBAgsI+AQu8+IL4lQIAAAQIECBAgQIAAAQIECBAgQIBAtQlM2Zl/JQm6tbklunq6kzTVhgABAgQIVFzA+1bFUyAAAgQIECBAgAABAgQIEEghUOrnWnf0psDWlQABAgQIECBAgAABAgQIECBAgAABAlkQUOjNQhbEQIAAAQIECBAgQIAAAQIECBAgQIAAgRQCCr0p8HQlQIAAAQIECBAgQIAAAQIECBAgQIBAFgQUerOQBTEQIECAAAECBAgQIECAAAECBAgQIEAghYBCbwo8XQkQIECAAAECBAgQIECAAAECBAgQIJAFAYXeLGRBDAQIECBAgAABAgQIECBAgAABAgQIEEghoNCbAk9XAgQIECBQqkB7x8ZSu2hPYNIFrNNJJ3fBcQhYp+NA02XSBazTSSd3wXEIWKfjQNOFQEYFFHozmhhhESBAgAABAgQIECBAgAABAgQIECBAIKmAQm9SKe0IECBAgAABAgQIECBAgAABAgQIECCQUQGF3owmRlgECBAgQIAAAQIECBAgQIAAAQIECBBIKqDQm1RKOwIECBAgQIAAAQIECBAgQIAAAQIECGRUYMrO/CtJbK3NLdHV052kqTYECBAgQKDiAt63Kp4CARAgQIAAAQIECBAgQIBACoFSP9e6ozcFtq4ECBAgQIAAAQIECBAgQIAAAQIECBDIgoBCbxayIAYCBAgQIECAAAECBAgQIECAAAECBAikEFDoTYGnKwECBAgQIECAAAECBAgQIECAAAECBLIgoNCbhSyIgQABAgQIECBAgAABAgQIECBAgAABAikEFHpT4OlKgAABAgQIECBAgAABAgQIECBAgACBLAgo9GYhC2IgQIAAAQIECBAgQIAAAQIECBAgQIBACgGF3hR4uhIgQIAAAQIECBAgQIAAAQIECBAgQCALAgq9WciCGAgQIECgbgTaOzbWzVxNtHoFrNPqzV09RW6d1lO2q3eu1mn15q6eIrdO6ynb5lrrAgq9tZ5h8yNAgAABAgQIECBAgAABAgQIECBAoOYFFHprPsUmSIAAAQIECBAgQIAAAQIECBAgQIBArQso9NZ6hs2PAAECBAgQIECAAAECBAgQIECAAIGaF1DorfkUmyABAgQIECBAgAABAgQIECBAgAABArUuMGVn/pVkkq3NLdHV052kqTYECBAgQKDiAt63Kp4CARAgQIAAAQIECBAgQIBACoFSP9e6ozcFtq4ECBAgQIAAAQIECBAgQIAAAQIECBDIgoBCbxayIAYCBAgQIECAAAECBAgQIECAAAECBAikEFDoTYGnKwECBAgQIECAAAECBAgQIECAAAECBLIgoNCbhSyIgQABAgQIECBAgAABAgQIECBAgAABAikEFHpT4OlKgAABAgQIECBAgAABAgQIECBAgACBLAgo9GYhC2IgQIAAAQIECBAgQIAAAQIECBAgQIBACgGF3hR4uhIgQIAAgVIF2js2ltpFewKTLmCdTjq5C45DwDodB5ouky5gnU46uQuOQ8A6HQeaLgQyKqDQm9HECIsAAQIECBAgQIAAAQIECBAgQIAAAQJJBRR6k0ppR4AAAQIECBAgQIAAAQIECBAgQIAAgYwKKPRmNDHCIkCAAAECBAgQIECAAAECBAgQIECAQFIBhd6kUtoRIECAAAECBAgQIECAAAECBAgQIEAgowJTduZfSWJrbW6Jrp7uJE21IUCAAAECFRfwvlXxFAiAAAECBAgQIECAAAECBFIIlPq51h29KbB1JUCAAAECBAgQIECAAAECBAgQIECAQBYEFHqzkAUxECBAgAABAgQIECBAgAABAgQIECBAIIWAQm8KPF0JECBAgAABAgQIECBAgAABAgQIECCQBQGF3ixkQQwECBAgQIAAAQIECBAgQIAAAQIECBBIIaDQmwJPVwIECBAgQIAAAQIECBAgQIAAAQIECGRBQKE3C1kQAwECBAgQIECAAAECBAgQIECAAAECBFIIKPSmwNOVAAECBAgQIECAAAECBAgQIECAAAECWRBQ6M1CFsRAgAABAnUj0N6xsW7maqLVK2CdVm/u6ily67Sesl29c7VOqzd39RS5dVpP2TbXWhdQ6K31DJsfAQIECBAgQIAAAQIECBAgQIAAAQI1L6DQW/MpNkECBAgQIECAAAECBAgQIECAAAECBGpdQKG31jNsfgQIECBAgAABAgQIECBAgAABAgQI1LyAQm/Np9gECRAgQIAAAQIECBAgQIAAAQIECBCodYEX1foEzY8AAQIE6legtbmlfidv5gQIECBAgAABAgQSCnT1dCdsqRkBAlkWUOjNcnbERoAAAQLjFsjq/6wWis9ZjW3c2DrWnIB1WnMprckJWac1mdaam5R1WnMprckJFdapFwECtSFg64bayKNZECBAgAABAgQIECBAgAABAgQIECBQxwIKvXWcfFMnQIAAAQIECBAgQIAAAQIECBAgQKA2BBR6ayOPZkGAAAECBAgQIECAAAECBAgQIECAQB0LKPTWcfJNnQABAgQIECBAgAABAgQIECBAgACB2hBQ6K2NPJoFAQIECBAgQIAAAQIECBAgQIAAAQJ1LKDQW8fJN3UCBAgQIECAAAECBAgQIECAAAECBGpDQKG3NvJoFgQIECBAgAABAgQIECBAgAABAgQI1LGAQm8dJ9/UCRAgQIAAAQIECBAgQIAAAQIECBCoDQGF3trIo1kQIECAAAECBAgQIECAAAECBAgQIFDHAgq9dZx8UydAgAABAgQIECBAgAABAgQIECBAoDYEFHprI49mQYAAAQIECBAgQIAAAQIECBAgQIBAHQtM2Zl/JZl/a3NLdPV0J2mqDQECBAgQIECAAAECBAgQIECAAAECBAikECi1HuuO3hTYuhIgQIAAAQIECBAgQIAAAQIECBAgQCALAgq9WciCGAgQIECAAAECBAgQIECAAAECBAgQIJBCQKE3BZ6uBAgQIECAAAECBAgQIECAAAECBAgQyIKAQm8WsiAGAgQIECBAgAABAgQIECBAgAABAgQIpBBQ6E2BpysBAgQIECBAgAABAgQIECBAgAABAgSyIKDQm4UsiIEAAQIECBAgQIAAAQIECBAgQIAAAQIpBBR6U+DpSoAAAQIECBAgQIAAAQIECBAgQIAAgSwIKPRmIQtiIECAAAECBAgQIECAAAECBAgQIECAQAoBhd4UeLoSIECAAIGRBXZE16pzYmZzS7Seuip6Rm60/9Fcd2xYtSxOPyzfr9C3+bhYvGJddPbl9m/rCIGkAn2dse7zw9dVS8w8dVncsnpD9JSytKzPpOLaTYhALvo674u2FYvi2JnLYkN/iYNaryWCaT6xAs/GhqUnDL2X73pPH/7vWXH2qieilL+CJzY+o9WMwES9xycCsa4TMWlEoMICCr0VToDLEyBAgEDtCeS6vhjLrnk4SqlL5LrXxvnHvjUW3bY93rH2R9HV0x2bN1wWr3zoijj75AuirbO39qDMqMwC+ULZI9fH6UedGZdcvTYeG7Yg+zetjWs+fV6cfMan4tvdO8aMw/ock0iDCRLIdW+I2wd+MDEj5pxxUVy1sj22lTi29VoimOYTLpDrui8+d+9TxcdtPCbec+Zh0VC8hTMExhCYuPf4MS60+7R1vZvCFwQyLaDQm+n0CI4AAQIEqk4g90Tcfsk/ROewotpYcygUJT54zsdjfe+cuGzNjbFodtNAl4aWt8Xy26+Ieb3r46oFH4q2rrELcmNdy/n6Ech1rY5F775prwLvvrPv3/SFWHLOp2PDKHeNW5/7qvm+bAK5R+L6i++MZxtmxClnzIrGcVzIeh0Hmi4TLPBsPHjLmlH+P6AxDl20JE5rUuadYPi6Gm6i3uOTo1nXya20JFBZAYXeyvq7OgECBAjUlEB+y4bVn4rr/vMP4+CkFYpCYfjiz8T6/C1rB59xXpzdOnVvkaaT48JFh0f0PxzXXfLF6PJ7nnv7+K6IwM/iK1fenC80HBrzLvhUtG14fOAu8a6ex6N99eXxzlkH7Om37e74+JUd0bfnyJ6vrM89Fr4qv0DDnFi67tZYunhxLLnqE3HeoUn/Ih0KzXotf45cYUyBwbsefxXzrn9o6O/d7n3+vTk2Lpvjbt4xJTUoLjBB7/HFL7DfGet6PxIHCGRWQKE3s6kRGAECBAhUm8Dglg0/j9M/8zdxXKIbdfK/drfxjrj90efzU22K404+KqbtN+kXx6yT5sWh+eP9j94cV9/3s/1aOEBgX4Fc1zfiSw++LN65el2sWvbemNuy6wcIU6N53uK4+t5749qTCquq8OqPbV/99gh3n1mfgz7+WRGBhgNi+vREf5EOhWe9ViRPLrqPwAux6e67o/Ogd8eFp79qn3O+JTAxAhPzHl9KLNZ1KVraEqi0gEJvpTPg+gQIECBQGwIDWzbcHD8/42Nx6byDEs7pmehYc//g/pONR8TRrx92l+WwERped3S8aaBO1xcdn/1idLqrd5iOL/cXyBe8ftwZv1x0fSyf94r9TxeONLTGmVddFPN23TC5I3/H2dZ99xuxPkfGczSbAtZrNvNSZ1H1fitubvtFzLvoL2J2KT+nqDMm000jMFHv8SXEYF2XgKUpgcoLKPRWPgciIECAAIGqFxjasuFnp8RnLp83wl25RSbY+3Dc/+DQL8wf1Bot04p8Kmw8JGYcPnRH5taOWL/phSIDOkygIPB8bHpkWnxo0RtG/9XgpmPilD/b/x7y3YbW524KX1SBgPVaBUmq9RBfiM62W6KjP/9D2YtPiGP/8qpoW3VfdI6yB3qti5hfOQQm6D0+cWjWdWIqDQlkREChNyOJEAYBAgQIVK/A7i0brrwo5hYr1u43vVz0fudb8d1dN1FOnx4HFqnzRrwyWmfuKsj9Irb8dKg4vN+YDhAoCEyLuVdeGWeO+aCfF8eBTUM/QJjaEq177YdqfVpL1SRgvVZTtmo21oG7HjcPTS+/JU77rXHV8ovi7De8Nl/0/Wxs6PZA1ZrN/aRObCLe40sI2LouAUtTAtkQUOjNRh5EQYAAAQLVKrDXlg1Ffk1+xLn9Np5+8qn87qiDr6kzZ8QhI7YrHPz9mNb00qGzffG97/9kd7+iXZwgMKbAC7G9d7Dw0HjsG2PWrm0cBvpZn2PyaZAhAes1Q8mo01B23fU40vQLRd8bY9FJ74qPre8Ouy+NZOTYxAuM9h6f9GrWdVIp7QhkSUChN0vZEAsBAgQIVJnAOLdsGJjl76Kv97mE822MA6e/bHfbXO/2SNpzdydfENhXIPfzePInv8kffU2cvvC4/OMAh7+sz+Eavs66gPWa9QzVfnwvjtnL/iW6evL7nXd1RNsnLo/LLl0QRwz/AVr/pvjy4vfGB+/pUuyt/QVR+RmO+h6fNDzrOqmUdgSyJKDQm6VsiIUAAQIEqkpgfFs27JriL6LriV1bMEyNww47JIZ/HtzVaqR/9z/bm9+F1YtAGoH8w1w23hNfyT+ArfHIhbH4+H3vRrc+0+jqO9kC1utki7veKAINLTH3vMWx6PwVcd+WH8Xd15wzrOC7NdZf+vG4vcs2DqMIOpVaYKz3+HFcwLoeB5ouBCojoNBbGXdXJUCAAIFqFxjYsmF1xNLPx/J5+xbJqn1y4q99gWeiY839sa3xmPjotX8RrUX3h659CTMkQIBA+QSaYvaCK+OeBz4X7551wOBl+h+O6678ZvSW76JGrnuBcr/HW9d1v8QAZFpAoTfT6REcAQIECGRTYHDLhs/GebHivJmhRpbNLImqmED+Tp+Om+L69lzMXvrJOLd16IFsxZo7ToAAAQKpBBpa3haf/vuPx4kHD/7uTv+D34qNvXbrTYWqcxGByXuPt66LpMBhAhUWUOitcAJcngABAgSqTaDwP9CfjvdeE3FRqjshXxLTX5G0wPab6N7yn7uhRn9w2+5mviAwskBfR1x9+b0RJ308riv6gwrrc2Q8R7MpYL1mMy+iGi7Q0HJWLL/khMFtmvofix/8u02Yhvv4eoIEEr3HT9C18sNY1xNnaSQCEyWg0DtRksYhQIAAgfoQGPgf6Pvjj1LfCTktWg5/5ZDZjtiy5b+iP5FgY7y86aXhDTwRlkb7CTwbG65cHve9clHceM1Z0Vz0dnTrcz86BzIsYL1mODlC2y3QEE0nnBzHJd2Qf3c/XxBIKpD0PT7peEnaWddJlLQhMJkCL5rMi7kWAQIECBCodoH+R78dX9vWFzuWnxKHL08wm01XxvzmKwcbzro82r+6OJoHvvuDePWM1+Tv7Nk8UODN9W6P5/LHmwZb7vPPF2J7764Ht/xhHD7jj2wXsY+Qb5MI5LccWfXXccGDfxorv/XhmDOtaJU3P5j1mURUm6wIWK9ZyYQ4xhBoel288bVTo2PTGO2cJlCyQCnv8SUPPnoH63p0H2cJTLKAG4ImGdzlCBAgQIDAoED+Dogjj4qZQxz9z/ZG0V/izP08nvzJb4ZaHhZvPNLD36yiUgV2RM89l8R7b3t5XHnnJ2LuqEXewtjWZ6nC2ldSwHqtpL5rj0Og8Yg4+vVDD2cbR3ddCOwtUOp7/N69J+w763rCKA1EII2AQm8aPX0JECBAoO4EGuetiP/o6Y6u0f5sWR3v3LX9buEu3l1td9/NO8T26uPiHUcOfdB7/IfxaLEHs/Q9FVueGdzYofHIE2Puq/3eZ90tvFQTHtxXeuGl/1+cu+baOLNl1+IcY1DrcwwgpzMlYL1mKh2CKSKQez5++ctcNP7ZyXF802i/VVGkv8ME9hMY53v8fuOkOGBdp8DTlcDECyj0TrypEQkQIECAQDKBhsPijIXHDD2Y5al48unfjtgv9/SW2DxQ550Wxy18e7T6bDiik4MjCeQ/AD5yQ7z/wifitC/fFItaixV5Cx8Ur4pL7/nZnkGszz0Wvsq+gPWa/RzVfYT5v2c33hNf2fqqOH3hcUW2aqp7JAAlCaR4jy/pOqM1tq5H03GOQCUEFHoroe6aBAgQIEBgQCD/68anfyQ+OnBXb3d85c6Hom8/mRdi0wMdsTV/vPHIC+PS01+1XwsHCIwsMPQBcOFD8adrVsXSOSPvAB3RG51r/zZfDO6Oo084aNhQ1ucwDF9mXsB6zXyK6jzAXPc9cenl90Ys+FhcOs8WTHW+HCZg+mnf4ycghPwQ1vXEOBqFwEQKKPROpKaxCBAgQIBAqQINM+Pca/8qZjf2x7Z7V8fdXbseujY4UK5rTSxv25yv8h4TH732L9zNW6pv3bbP79e3/jPx/nffFI/t6IxbzvqTaG1uKfLnT+LspXfGE8eO8KvE1mfdrqBMTTy3PbY/lxs7JOt1bCMtyiKQ614b5x9zeLQedlpcumpD9Axfrrnu2LBqWZx10sfjsVmfijVXnRjTyhKFQetHYILe4/Ngu9du86w4fcW/7XXDwe5z1nX9LC0zrQkBhd6aSKNJECBAgEA1CzS0nhdtX/5QHBEPx3UXrYhvdxeKvfk7NTpXxfkLr43OphPjsrWj/dp9Nc9e7BMvMPhQloWLvxCPDW7tnOAS+W1B3nbMiL9KbH0m4NNkggUKd6p9Lb7++NAPvvofjjvafrBXAaLYBa3XYjKOl1Wgrzse35b/C7d/U9y1/LyY3zrsB2ut82LRNU/EzOX/HN+4dUE0236prKmo/cEn8j2+P/7z23fH+sLazT8S+LHb74vO4f/fYF3X/nIyw5oUeFFNzsqkCBAgQIBAVQk0xLQ5F8c9DxwZd6xdE5+c+9pYUoj/4Pmx5AO3xMfeN9cHw6rKZ4WD7f5ifPjir8e2UsJoPCpO2WvbhuGdrc/hGr4up0B/9KxaGPOX/3Cfi+QLECvfE3NW5g8XHnC574Mt92ptve7F4ZtJEWiY/Tfxj6unx+dv+Ie4a9PzQ9dszL+NnxvnHntMvMX7+KTkoS4uMqHv8Y3xf73l7Djxth/ni71T44hzT8//htkeRet6j4WvCFSTwJSd+VeSgAu/7ld4wrgXAQIECBAgQIAAAQIECBAgQIAAAQIECJRXoNR6rK0bypsPoxMgQIAAAQIECBAgQIAAAQIECBAgQKDsAgq9ZSd2AQIECBAgQIAAAQIECBAgQIAAAQIECJRXQKG3vL5GJ0CAAAECBAgQIECAAAECBAgQIECAQNkFFHrLTuwCBAgQIECAAAECBAgQIECAAAECBAgQKK+AQm95fY1OgAABAgQIECBAgAABAgQIECBAgACBsgso9Jad2AUIECBAgAABAgQIECBAgAABAgQIECBQXgGF3vL6Gp0AAQIECBAgQIAAAQIECBAgQIAAAQJlF1DoLTuxCxAgQIAAAQIECBAgQIAAAQIECBAgQKC8Agq95fU1OgECBAgQIECAAAECBAgQIECAAAECBMouoNBbdmIXIECAAAECBAgQIECAAAECBAgQIECAQHkFFHrL62t0AgQIECBAgAABAgQIECBAgAABAgQIlF1AobfsxC5AgAABAgQIECBAgAABAgQIECBAgACB8goo9JbX1+gECBAgQIAAAQIECBAgQIAAAQIECBAou4BCb9mJXYAAAQIECBAgQIAAAQIECBAgQIAAAQLlFVDoLa+v0QkQIECAAAECBAgQIECgqgR6o3Pt5XH6YS3R2twSM0+9PO7q7K2qGQiWAAECBOpTQKG3PvNu1gQIECBAgAABAgQIECCwn8CO6Fp9U9x74OK4Z0t3bN7wuTgrvh6XLrgs1vXm9mvtAAECBAgQyJKAQm+WsiEWAgQIECBAgAABAgQIEKicQO+P4t9nXBifPrElGvJRNLS8LT79qYVxaP8P4/7vPFO5uFyZAAECBAgkEHhRgjaaECBAgAABAgQIECBAgACB2hdoenOc+WcjTLNxZrzxDdNHOOEQAQIECBDIjoA7erOTC5EQIECAAAECBAgQIECAQKYEdkTPj7bF667+TJzbOjVTkQmGAAECBAjsK6DQu6+I7wkQIECAAAECBEoQyEVf531xy9LTYmb+oUWFBxe1Nh8Xi1fcERu6d5QwjqYECEyqQO6RuObNR8fie342qZetpovlujdE29J3xalfmxZnHHnIwFYO1RS/WAkQIECg/gQUeusv52ZMgAABAgQIEJgggd54ZMU749hP/nu0XvDP8UTP49G+6v1xROPW6Fj5yVh00nvimkc8qX6CsA1DYEIFcpu+Hd945g1xygkHTei4EzvY4A+S2lYsimNnLosN/SWOnuuODauWxemHDf8h1Lro7BvroWq56L3nA/HHc8+Lq9Zuih2bvhBLTjo32rqK/fCqP3pWLRj6Qdeua4307wXR1r1nEv0dy+KPd/+AbIT2p66KnhKnrDkBAgQI1LeAQm9959/sCRAgQIAAAQLjFMg/mX7Vh2Lhyt/E+z51SbylpfArzVOj+cRlcf3SY6KxMGp/Z/zjP2+KPWWNcV5KNwIEJljghdj0wHfjv894Z8xrKjxyLFuvwp20t3++UKCdEXPOuCiuWtke20oMMde9Ns4/9q2x6Lbt8Y61P4qunu7YvOGyeOVDV8TZJ18QbZ2j/RCqIZrOujX/w6sn45F7r48l8w/N/332cFx35Tdj5F6N0bx47dA1PhfvnnXAsGgPiCPe87lo7+rOn18bi1oG/nYcON84b0X8R/4HZA98bOjvzMGjcfD88+Pae/Mxf3VxNA8byZcECBAgQGAsAYXesYScJ0CAAAECBAgQ2F+g95tx9TUP54u4L4vp0/YULgrF3tbFN8WaC2bni72HxnFvfHXU9P9w9n4trlm9eX8fR7ItUO95yz0e678Wcdo5x8a0rGUqv6XE9RffGc82zIhTzpg1+EOjEmMsFHk/eM7HY33vnLhszY2xaHbTwAgNLW+L5bdfEfN618dVCz40yh26uy7YENNmnxlLb70hlhzaGP0Pfis29o5+N3DhGld8+JT834RDr6mnxN986m3RXLSe3hjTpg8VhhtnxbtX/Us8eNuyOHMo5l3D+DcBAgQIEEgiUNP/350EQBsCBAgQIECAAIFSBfK/1vydb8V3C7fqNk6L6S/d938pm2LOsnX5u+G+G58/q7WG97V8ITrb2uJ7o9d9SsXVvuwC8jawbUMcFyfOevH4tH/TF9t/t3N8fX/3q9j+m/8p3rdhTixdd2ssXbw4llz1iTgvX2At6ZV7Im6/+DOxPn8L8MFnnBdn7/sAtaaT48JFhw/eoXvJF6MryX+/Da+NE/+8JeKg1miZVrRiuzvMxpYZcdiu714+Pabt+1fkrnOFf/d1xLXXfif6G2fHki+vjuUnttTw35nDJ+5rAgQIECiHwGhvOeW4njEJECBAgAABAgSqXuD52PT9xwa3ZGg4MA586diFj6qf8ggTyHWtieVt7uYdgSbTh+Tt2XjwzvURf/6WmDWe/3R/95NYc/7cOOYv/ymeLLXYW+j7lyfEMeevSda34YCYPr2UIPN7+m68I25/9Pn8GmyK404+aoQ7ll8cs06al/99g3yt99Gb4+r7kjyMri+6N78Qs993Wulm06fHgcWmkOuKdUs/HXf1vi5f5F0VS+cM3nmc6f+ABEeAAAECmRZQ6M10egRHgAABAgQIEMiiwAuxvbfYQ4myGG8ZYur7t7j+on+IThsQlwG3jEPKW0Tvd+NL9zbE20967bjuHN3565/Hlqd/Hpv/6YI4uZRi70CR98x43z89Fr94uju2/TrJrbSlroVnomPN/YP7+TYeEUe/fvheuXvGanjd0fGmgb0V+qLjs1+Mzt2hDD6EbeZhp8WlqzZEz8Dx3uhcdUX8/fb3xorzZo7LbM+Vh31VKPJe8P64ZMMrFHmHsfiSAAECBNIJKPSm89ObAAECBAgQIFCHAr+OXz5bv4XeXPc342PvXRK3bCrcNehVLQLyVsjU0LYrB80b97YNU6afEJ+898vxyT97SXQlLfbuLvL+JA74s0/E1+69PN48/UUTv3R6H477H+wbHHe0bRYaD4kZhw/toru1I9ZvemEolvyevEe+JU5oejzuWn5ezG9tiZmnXhM/mH5BfGXd4mgtdmduqTNR5C1VTHsCBAgQSCig0JsQSjMCBAgQIECAQLkFCk+ab1t6WsxsbonW/J+Zpy6LW+7pjL78npNtl/9T9BQC6N8Ql84cPF9oM/jnTXFpx1BxYyDIvtjw/7d3L9BR1Icex3820suxVQNUpdarRALFWnMMlEqrcEsQqm0RAYmgV1EIjYhtQd62FqnyEvHRYmNMQKUiGF4qVFoxoeKLW4V44LYiEIOWalRIUl+Xusa9M7s7u7Ob3WE3+0gmfHOOzew8/o/Pf7La3/73PzO+FzhmnXOOLi+LtsyAMVtt3f2addl3A8eNrz5XrzZe5xnX99SF48tU3WhOa7OX+UMt2BUIeo8YT5HvYdVh/O41U1vts1ybarV1+e8C5VnnmeUuULnZN197nf7HbF+Z7hzf39af/pqwaIW21sYRNketP4Hrw5pmzuz7qQYMnKTVwZD3iHbP+2GobZH9N69vURusccnTuTO2+pfJMEK6xur1Nos8XT5jdWB8rIYe0YGqFbZzTOt7nK0aq7W+bIEm9OsfvI+i3YvlVbVGC47yk1Rfj3YP2uqOWk+s+yrOcfuktf62jtavlt6vtnKDm+/puadf02ktXbYhUE6zsLfocb0da9ndL97U2iJzJm+aQ14rxLbef5yWTNCpxntVdqA372vfm6F3oqycQj2wfa9qDtT6/tnz1CIVj8yPsgREEDWxDULexLw4GwEEEEAgMQFvnD9nn9UtzjM5DQEEEEAAAQQQQCAxgc+9Da/e5R2We5G3aPEz3trPA1c37PRWTL/M+03jv8POHvqgt9ZeaMNL3kVDz/Oa/4129ln9vDMrG+xH/dth5/TyDnvwjeA5n79Z5V2+cLz3+77rzTLM4697Gypn2/aZ+8/3Fq39Z/A6/8Yb3rKhvfx1f3OGt+qziMPWy2D9F3mL1+73+rr1+ZveLbMDfTqrh/f705/xRmm5v4TA9d8cOttbsfOQf1/Y9bZyrTptvz9/83Fv8QXne4dNX+Xd2WDWbjjvXOWdabnlDvcuejVQru26eDY/q5zh/ZbPLtw18tqE22CM+bqSGca9YNr7//nW9CrvZ95D3p0PTogYm8A5F8z2Vvn6d8j76sLhXt/9EhxX65ybvOve/D9b80yLDd4HrPvLd755Hx0K3Iuh+q12nH3Wed5hC1+KOV6J9rXF92AS91Vc4xYs3zTI3N9Won62wYx/89A6b1HuEO+inZ/Ef43DmV8c3uqdM+A046lsp3kHzNnqPfxFxMlfvOd9fk6BN1tZ3uwBc73PH/ZEnHC0l3G+1/iK+cS7c+GQiL+bWOUncm6sMhz2v/mgd5j1N2h/7/58v3fdhIu8Zyfx3uNQK4cQQAABBNqhQKJ5LDN6E8vFORsBBBBAAAEEEEi9QNNrevAXpdozYIoWThusbtbXg7PzNerOcpUUntW8zuzvqHBor+b77XtinvOOnrzjZt1RUulfyzJwTdOeUt2wtIt++9pe7TC+Wl3Q1XjafdeLdGnvzvZS49x+R+un3uhb3qDDoCmaN7K7f23LrBxdfPsiTettrp3pUV3FXXqw2vratK3oxi2adclYlb7/E5WsuF2j8gMPKTKvnzpW/Y2mSQe1Zdav9FBN85m9TbUVmjRmgQ6NX6V1d45WfraJanwtO3+0Fq5YolFm3zzVKh19k8qjXG9rSYs3E2+DaTZO0xdWaLc1K9FX+wfasWiy5u0r0NLX9huzDPeHxsc8XrdZj1X+zThnom7e218lW1/3z0Z8ba1mDzIfOWWe82fdV/G30IxczzYtHDNFd1bsCswW9p/2+d5yFf3idQ0ordJec0ZjTZXKbxqkrr7DH2l3SbGKyvaEyvFfZkxaTtS7pfdgkvdVoL2Ov2L+3diuinlOy/qVuJ+tLXFvJr9sQ2RVoZm90ra5ozV87l9Ub8S+vh/v+3ph7hgNnfuclM7lGoKN+kyNhz8MvnLe6KBOnU8OntJ0uEHxXhm8KNENY33oO4cPZ03eRN04HwEEEEAgIQGC3oS4OBkBBBBAAAEEEEi9QNOuZ/XHg2HJnq2SUzRw5s9VkNLlLE/XiGXVvsDwr0sGy5eZ6oj+/lSdLl48SX2yOxiB6ASVmV9f3v47jcgJrGVpa9VRN2v/qBWV/q9DZ3XppJPsF2SdqT4XfD2w50PVN3xmP2psf6Ct8+dpTd1XVDD9Jg30hbS2U7r006UDAl+79uzR/7xWbztobpph2wJt0aWaNKpH84cnZV+oK4fn+K/x7NAf1toC0IiSWv6yJW2INi7SkQ0rtbH3b/R4WGA9Tgun/yAwdsYDpaZO0gOdZ+rJZVM00Bqv7D4qunOKCnwD7NHBjc9ql7X2QoeBWrjH/Gr6i1o8yPoKe502PHxQV/1hqW4uyAkG8wOnLdWKX/YL1PWRqpet0Dbfch6WTqr6Gsc9mNR9ZbU3nb+jjeHR+tUSv5b0ITXLNkTWHDXs/SLTIa/ZqvdVs8dagqGjevT4RuCejWxx89eeDw4rrStumyGvb13vzhpVWqoZfQIfXDVvCnsQQAABBBBISoCgNyk+LkYAAQQQQAABBJIX+KKhXoeMYjzb1mhDtNmlZrB5QfSnxydXe5ZO6tQpEIR20BlF03R99xaEugk3wj6brlF7at4PK6Gperluq3hL6tBXl/7gtLBj/hena9ivZmtwjBnHTdV/0H1GyNzh3O8oLzIk9hXwHzoz96xACBQRgEaprSW7kmuDfVykjsMn67bBgeA12JgsdendV8E53XnX6pcT+jRfRzT7LPU4zR/l61C9Gputo3qKevfrESi1q0bNvz1KsN9R3cdN07gzAuX4ZhC/F2xJ6vqa7D3ofF8FG5yRDfsYOvcrOb8EOuN7UFkn/XjIOc0//EigmGinhoe9V2rwfw3J4EzeaC1qQ/ver9K84MMb39IT9/5ez8azvngb6gJNQQABBBBwj0BK54a4p9u0FAEEEEAAAQQQaDsCX+rUWV8zmnPQs10LLrlS++fdplmF9of/GLMEZ45Oc4OzjK8yn5i6AOjM/vqJsTzD7t25GntlXtwz66RPteuZKmNRBuPnnL7q3cVaxyK8+/4HJhWG7/S98ugfr+7wX185Vd/tNjXKORG7rAA0elURJ8fzMvk2dMjJlRm/7naq7oxc9TJy+d3NV64IXZV1ojp3NjoWc8Z46FTHraxzNHhojkpLzAf6faK9+981lm843bhfku9rqN447sEW31ehWjK/5dSvVPo59Sy0bMONeSc4ndjiY76wd/US/f3csVrzgvHhTaertHL1bF3U+Rj/v5yn5mnIhf/W87uqfcukeHY9rOIxh7R41eIoH6q0mJ8LEUAAAQQQ8Akc4//W5S5AAAEEEEAAAQRaXyArb5iu6b1SC3YaXx727NKaGSO05u5BKp4+ST9N5dPeM9nVrF4qWr9LRWF1NqmxeqPWPrNJD5W8EnYk9KJRtXvDZ/iGjsWz9Ylq9/3Dd2LHwuV67c6BCYTM8ZQfzzltoQ3xtDORc07Qt/uer45G0HvEiKsOGWuhmpODs4zQN6PeLb6vEulrJs/NlJ+1bEOx8lL2gUaE02dv6LEZ87W+IbA+SMOT+vWM1frusv9W7pePizg5HS+/qs6nmN9IcPrkw6o35G7u6dgrV9+wDqX899fUd+Zj+lPudF09dZN/XfS6TZo+5t+qL1mgImv98ZTXS4EIIIAAAseiAEs3HIujTp8RQAABBBBAoG0JmOHV8odCD84yW1dXqdKpI9SnX5Hurqpt9vCrttWBo7XmsKrX3a9Zl+Wr35yX1XTKKN0xq2+Miz5W/QeBoKa+XlZmFOPkKLs/VcNh//UZecBSlBaYs5Jbvw1RG5bUTmuWcXghrdnXRO6r8Fa3nVcZ8kvjsg0+SyPkXTl+hMY++oZOHDBX2/Zu0ZwBX1XNoxN1yfhHtf8z6wlt6ZTPVk7PUwMVHNG+ff8Me9Bg7Jo76GtdTlJ6/49xR3UbuVgrl/wk8GBDozV1W7SgcILu3HE4dtM4ggACCCCAQIIC6f33WYKN4XQEEEAAAQQQQOCYFTAfnLVsiyqXGw9eM9eetX6MwPf+ccM08pandcB6kJZ1rM3/PqIDVfdoQr/vacwjbyt38pP621OLVDyuQDnxzCp8r0a1YQ/9iqfDoaDY88Y+vd0qZm2hDfFYpeKc1uhrkvdVKrqdsjIy4RdatmFwOpZtCAt5f62NG25R/x4Xa86G1RkOe+1rb0vOH/SEAnbpK+qZ+/XULVsT894ww9579cd1N+k86y3eU63S0eP0yy1u/zAvZqc5gAACCCCQYQGC3gyDUx0CCCCAAAIIIBBbwAgCCqaobPvLWrvkBlvg+5F2PzZL05bvcdHM3sPasegqXTLut3r+1GKtXDFfRQWRDxSLJmF9/do45nlFm/8SeuhXtLPN2bPVy1erOhjonqruvbL9px6s0pZdn0a/LLjXCME2PqFtnuCOFGy0hTakoBsxi7DPgMx0X1t6X8XsTCsfyISftWzDxalftsH7vl6Yf6Nu8s3k9Ye81pq8oQe0mTN7p2v8/OdUn9aJveEPKPR8cFjGYjjRf5re1f43Pgkc66ELep8S/byU781Sdp/JerjiltD7u7Fcz+oJ12rSuhoXvb+nHIYCEUAAAQRSJEDQmyJIikEAAQQQQAABBFIn0EX5I2eq7MU/q/Qq60FmH6n6kSe1Kxhofkknds5uhfVn4+mlsRZv1RL9vMR8+FBPjZs7UX2y45nCa5Zt//p1o6ru+YMtxI1Sd9Pr2rq/o84MFv9lZRtfw/b/7NXy21eqJmgW7fp92rD5Hzoxpf9V3BbaEKWvSe5qajSW0vCVYZ8Bmcm+JnNfJdL5TP5tZcAvXcs2mCHv3DEaOvc5aUB4yGtph8Jeadvc0Ro+9y/pDXsDD+vz1f/6K9p5OMYff+Nb2vee/9OdDr0Ha+CZ1hRbq+Xp/G2EvfkT9MCqOzQ4+O2Ng9oy9TrdULZDjemsmrIRQAABBNq9QEr/k7bda9FBBBBAAAEEEEAgDQKeqtuN2VzvNC85K0cXzy/R/EGBGaqH6tVoPgHL95Olkzp1CnzduFF7apJ5gJlVZqp+v6eqlZv9Dx3SyeqcnUiIcoLyhhToDKspB1dq7l0vxwg/jqhmean29vmuuljnK/x6z87faeqtsZa9MILD51bqT2d9P8UzHdtCG4IgKdowrN6skW9+dddLddWg0wLlZrKvydxXiTBk8m8r3X5pWrYhjpDXEs9o2JvVQ8Ov7uf/AMzzlva//W+rGWG/m97ep72+nDdb/a/+sboHPygKOy2tL7JyCnX/qns1Ou/EQD0HVTXvel23KNb7XVqbQ+EIIIAAAu1EgKC3nQwk3UAAAQQQQAABNwt8rBef3q7oj+Q5Rb379fB3rmeucmyZ6Zc6ddbXfEeOaM/2/4243gjmqh/WvGWvBWCa1FD/kcNXg492PIZvU4MaPoycNRdad1T6l+obI9dFaFTtvtjBdFbeMF3T2wo/jGUrSop13Ywyba0NPKTNbEpjtdY/MEdTl0hDfmCFjv42Nrv+sUm6ZPhMldsfatdUq61lt+i6G/frkivOTXh9zpB9dLdMtCHGiCSx2+kDA/Pr/68YM7RPVP74azXANkM7dX2NbhnqUHL3lVnO0cbNqit0Xvr/tlLnZ7Xe/jsNyzYkEPJaLclc2Gss33D5zZrme/+o1ZOrXozyIdGn2vVMlQ4ajevQ+0bNuvx0q5kp+x2a/W4U6fBQyaycH2neilIVB8PewPsdYW/KxoKCEEAAgWNNgKD3WBtxL2z3FgAAErRJREFU+osAAggggAACbVLAU3mbisuircHrMQLafxltNgK2of31n7bWZ+VdrB+f4U9+Pdse0d3WA30CIWbR7Yc0ZPi3A1d4dLDkeo2c+jNdPqJMB2zl+Dc9OnT4QwUnDDc7btvR9JGRXQTC3aiz5s5QnwvPDFywV6UTZ2q9L6Q1w+fVmnXZGN23x5ppFwj3jDY/e1uZf63crF66fvHPlB8MtY3wo8JY43fgOereLcf/z/kjNH3hZh0/9WYN6xIxHa/Z9cZyv7sqtMB4CFxP6/ruBSqat0EfXDZOV3TvaOtcfJtZZ/ZQT1/7DNcN67TNfGic2YdbpujuamNd4CTb4Kndr32BpsR8qNSHDQp+Mz1WmGQfqyO1qjkYGbrb+3tEu5c9rK3NHoBnjFvVUi2pbDSCsZ9p0bhe4cF4kn0NteBo92CS95VR0VHHLdCYjP5tpcwvJBncSsOyDd73XtDDj/415nINwbojNuxh74uPPq4XAksnRJwW+2XUD5WinB709Khuw3KtrbF9QGSc3lSzUvPK9xopbz9NW3xNWmbzftFQr0NW08K+iWHttP3O/p5mPHSbCuzvdyVj9ePxZapu9rdou45NBBBAAAEEoggQ9EZBYRcCCCCAAAIIIJB5AWMN3nmFGjnjfq2vtub2HlZ1xR2aW/6uzrtqoe5qFrCdq5Fj+wS+pmw+0CcQZBoh5sSNp2r28inq2/l4W1dO1imn9tUvllyjbubexpd1z72bZcUgR7at10b7rFnblcFNM8y89TdaHgwMjVlzS1dGBBLG19GvuCIU1NZt0nRfSJurPhOrlDv3ca2ZPED+eNUMoK9Qz+7Xau15BbowEHZkdR+n8tW2p9MHG2BtnKjzJpaqfEJE6Bg47Lve/sAj67Lg7w7qOuQOrVww2FgVuAU/2d/SBecFZh3XrVLR+bnq3n2Ylp5cqHH5J/gKbHEbmmq0cfVLwXHxbHtUy3ZY94TVVuOhZOWP6nkrtz24SaVPRD7M6YgOPPGwngyO1R5tqng1ygxHq8yO6qrNmnjtrVoTdg/equuKV+lw3k1auXxc1GCsxX1N6B5M/r5SHOPmH7zM/m212M8auqi/07Nsw3Fdh+v3zzyvbRtukfXgtajVR9npD3urtP2Zu3RZcH3aKCf6dhkfMOzYqE2vB96hPNu1ovyvDvdvqByfp/n+oe26a8oiPRv8oKlMN1y9WNVdBmt2xVIVteBDnlAt0beaap/Wbbb3VR3ZrPvmxFo+xizD6OeBWn0QVpwRUlfO1xV9R2jWA09EvL+GncgLBBBAAAEEwgSO8xo/YXtivDBnT9QY/wLiBwEEEEAAAQQQQCC1AuYavZMbxuu3vd/Qime366VlD6mqzkzwjDBy0PUqunq0ri3ICZ9FGWyCEQavK9fvFy/zX9MhT6NmTNYN4waqW5ZHB8qu1qBlJ6n4p1ercKy5z7wwsH/eK8FSwjf6avbWlSqyrxNhxCtbZ1yqooq68FPDXnXUeb98Uk9M6GnsNWfvrtHCOfO1ZtdHxuszVDBxim4sHqZ882v/Rpi5fuJ1mv7MQXXIG6Pb507VqPzQSrvBYs0lGlav1oolFdrtCzWNgLewWNeOGa0R0c4PXhjYaHa9oZpXqGmTb9D1MU0jC4nxunGHyqdO1oJK40vgpvu82zSrML95cBx3G44yLh0LVb57kS56fqbOH1cRDILDWxcYOz2sywfO1+7wg4FXXTVq+WYtLDAjbnud5v5HdWXD2tD9ZJxhek0ZO1pXjozSt8jyU9VXRbsHzcpScF/FO27GYiiZ+duyIcbtZ7sm5uY7Wj/+ct3Xs0RVM/vEeP+IeXErHrDfkzGakXeLKp+a4P/AKsYp5u6m2q1aUbFS5SWV/jXDuw6KeC90uDihQ3G02Vde5H29V+WXDdOCXdbHbbEqtb+3xjqH/QgggAAC7VEg0TyWoLc93gX0CQEEEEAAAQQQQACBuATsAZU9AI7rYk5CAAEEEEAAAQQQSKNAokEvSzekcTAoGgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQyIQAQW8mlKkDAQQQQAABBBBAAAEEEEAAAQQQQAABBBBIowBBbxpxKRoBBBBAAAEEEEAAAQQQQAABBBBAAAEEEMiEAEFvJpSpAwEEEEAAAQQQQACBNingUUP9vwItO6LDDZ+2yVbSKAQQQAABBBBAAIGjCxD0Ht2IMxBAAAEEEEAAAQQQaJcCTbWbVLqhNtC3Rj3/yCrtaGxql32lUwgggAACCCCAQHsXIOht7yNM/xBAAAEEEEAAAQQQiBSoLdPl3XLUc+BMbanzBI96di1V4fm56n5ZmQ4E97KBAAIIIIAAAggg4AaB493QSNqIAAIIIIAAAggggAACKRTImaAnDkxIYYEUhQACCCCAAAIIINDaAszobe0RoH4EEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBJAYLeJAG5HAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQaG0Bgt7WHgHqRwABBBBAAAEEEEAAAQQQQAABBBBAAAEEkhQg6E0SkMsRQAABBBBAAAEEEEAAAQQQQAABBBBAAIHWFiDobe0RoH4EEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBJAYLeJAG5HAEEEEAAAQTSK/Dxxx+rrq4uvZVQOgIIIIAAAggggAACCCDgcgGCXpcPIM1HAAEEEECgvQqYAW95WZl+MGCAfvKjH7XXbtIvBBBAAAEEEEAAAQQQQCAlAsenpBQKQQABBBBAAAEEUiRgBryrV63SAyUlaqhv0MCCAk362U0pKp1iEEAAAQQQQAABBBBAAIH2KUDQ2z7HlV4hgAACCCDgOoFYAW9+fr7r+kKDEUAAAQQQQAABBBBAAIFMCxD0Zlqc+hBAAAEEEEAgTICAN4yDFwgggAACCCCAAAIIIIBAiwQIelvExkUIIIAAAgggkKwAAW+yglyPAAIIIIAAAggggAACCIQECHpDFmwhgAACCCCAQAYECHgzgEwVCCCAAAIIIIAAAgggcMwJEPQec0NOhxFAAAEEEGgdAQLe1nGnVgQQQAABBBBAAAEEEDg2BAh6j41xppcIIIAAAgi0mgABb6vRUzECCCCAAAIIIIAAAggcQwIEvcfQYNNVBBBAAAEEMi2wf99+jb6yUA31DcGqt1ZVyfyHHwQQQAABBBBAoLUEag7UtlbV1IsAAgikTYCgN220FIwAAggggAACuT1ytenpp1Va8oBWPPKID+TasWNVPPEGde3aFSAEEEAAAQQQQAABBBBAAIEUCRznNX7iKat7txzxiVc8UpyDAAIIIIAAAtEE6urqCHyjwbAPAQQQQAABBBBAAAEEEIgikGgeS9AbBZFdCCCAAAIIIJA+AQLf9NlSMgIIIIAAAggggAACCLQfAYLe9jOW9AQBBBBAAIF2LUDg266Hl84hgAACCCCAAAIIIIBAkgIEvUkCcjkCCCCAAAIIZFaAwDez3tSGAAIIIIAAAggggAAC7hAg6HXHONFKBBBAAAEEEIgQIPCNAOElAggggAACCCCAAAIIHNMCBL3H9PDTeQQQQAABBNwvQODr/jGkBwgggAACCCCAAAIIIJC8AEFv8oaUgAACCCCAAAJtQMAe+J7d/WxtqaxsA62iCQgggAACCCCAAAIIIIBAZgQIejPjTC0IIIAAAgggkCGB/fv2691331X/Af0zVCPVIIAAAggggAACCCCAAAKtL5Bo0Ht86zeZFiCAAAIIIIAAArEFcnvkyvyHHwQQQAABBBBAAAEEEEAAgdgCX4p9iCMIIIAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsECHrdMEq0EQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcBAg6HXA4RACCCCAAAIIIIAAAggggAACCCCAAAIIIOAGAYJeN4wSbUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBwECHodcDiEAAIIIIAAAggggAACCCCAAAIIIIAAAgi4QYCg1w2jRBsRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEHAYJeBxwOIYAAAggggAACCCCAAAIIIIAAAggggAACbhAg6HXDKNFGBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAQYCg1wGHQwgggAACCCCAAAIIIIAAAggggAACCCCAgBsEjk+kkd275SRyOucigAACCCCAAAIIIIAAAggggAACCCCAAAIIZEDgOK/xk4F6qAIBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAgTQIs3ZAmWIpFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQyJUDQmylp6kEAAQQQQAABBBBAAAEEEEAAAQQQQAABBNIkQNCbJliKRQABBBBAAAEEEEAAAQQQQAABBBBAAAEEMiVA0JspaepBAAEEEEAAAQQQQAABBBBAAAEEEEAAAQTSJEDQmyZYikUAAQQQQAABBBBAAAEEEEAAAQQQQAABBDIlQNCbKWnqQQABBBBAAAEEEEAAAQQQQAABBBBAAAEE0iRA0JsmWIpFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQyJUDQmylp6kEAAQQQQAABBBBAAAEEEEAAAQQQQAABBNIk8P+h4PsNz+RAQQAAAABJRU5ErkJggg==" alt></p>
</div>
<div class="question">
<p>On the HR diagram on page 2, draw the evolutionary path of Barnard’s star after it leaves the main sequence.</p>
</div>
<br><hr><br><div class="specification">
<p>The Hot Big Bang model suggests several outcomes for the universe. There is now evidence that dark energy and dark matter exist.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the axes, sketch a graph of the variation of cosmic scale factor with time for</p>
<p>(i) a closed universe without dark energy. Label this curve C.</p>
<p>(ii) an accelerating universe with dark energy. Label this curve A.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain <strong>one</strong> experimental observation that supports the presence of dark <strong>matter</strong>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br>