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</div><h2>SL Paper 2</h2><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">A nucleus of an iodine isotope, I-131, undergoes radioactive decay to form a nucleus of the nuclide xenon-131. Xe-131 is stable.</p>
</div>
<div class="specification">
<p class="p1">The initial activity of a sample of I-131 is 100 kBq. The subsequent variation of the activity of the sample with time is shown in the graph.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.27.55.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/03.c"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain what is meant by an isotope.</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">Identify the missing entries to complete the nuclear reaction for the decay of I-131.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_11.18.12.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/3.b"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The I-131 can be used for a medical application but only when the activity lies within the range of \((20 \pm 10){\text{ kBq}}\). Determine an estimate for the time during which the iodine can be used.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A different isotope has half the initial activity and double the half-life of I-131. On the graph in (c), sketch the variation of activity with time for this isotope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about binding energy and mass defect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by mass defect.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Data for this question is given below.</p>
<p class="p1">Binding energy per nucleon for deuterium \(\left( {_1^2{\text{H}}} \right)\) is 1.1 MeV.</p>
<p class="p1">Binding energy per nucleon for helium-3 \(\left( {_2^3{\text{He}}} \right)\) is 2.6 MeV.</p>
<p class="p1">Using the data, calculate the energy change in the following reaction.</p>
<p class="p1">\[_1^2{\text{H}} + _1^1{\text{H}} \to _2^3{\text{He}} + \gamma \]</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The cross on the grid shows the binding energy per nucleon and nucleon number <em>A</em> of the nuclide nickel-62.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-09_om_16.33.07.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/03.b.ii"></p>
<p class="p2">On the grid, sketch a graph to show how the average binding energy per nucleon varies with nucleon number <em>A</em>.</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>State and explain, with reference to your sketch graph, whether energy is released <strong>or </strong>absorbed in the reaction in (b)(i).</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the nuclear model of the atom and radioactive decay. <strong>Part 2 </strong>is about waves.</p>
<p class="p1"><strong>Part 1 </strong>Nuclear model of the atom and radioactive decay</p>
</div>
<div class="specification">
<p class="p1">The nuclide radium-226 \(\left( {_{\;{\text{88}}}^{{\text{226}}}{\text{Ra}}} \right)\) decays into an isotope of radon (Rn) by the emission of an alpha particle and a gamma-ray photon.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Waves</p>
<p class="p1">Two waves, A and B, are travelling in opposite directions in a tank of water. The graph shows the variation of displacement of the water surface with distance along the wave at a particular instant.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_14.49.48.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/04_Part_2"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how the evidence supplied by the Geiger–Marsden experiment supports the nuclear model of the atom.</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 class="p1">Outline why classical physics does not permit a model of an electron orbiting the nucleus.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by the terms nuclide and isotope.</p>
<p class="p2"> </p>
<p class="p1">Nuclide:</p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p1">Isotope:</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Construct the nuclear equation for the decay of radium-226.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_15.05.11.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/04.c.ii"></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Radium-226 has a half-life of 1600 years. Determine the time, in years, it takes for the activity of radium-226 to fall to \(\frac{1}{{64}}\) of its original activity.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the amplitude of wave A.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Wave A has a frequency of 9.0 Hz. Calculate the velocity of wave A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Deduce the frequency of wave B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by the principle of superposition of waves.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the graph opposite, sketch the wave that results from the superposition of wave A and wave B at that instant.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the production of energy in nuclear fission. <strong>Part 2 </strong>is about collisions.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Production of energy in nuclear fission</p>
</div>
<div class="specification">
<p class="p1">A possible fission reaction is</p>
<p class="p1">\[_{\;92}^{235}U + _0^1n \to _{36}^{92}Kr + _{\;56}^{141}Ba + x_0^1n.\]</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Collisions</p>
</div>
<div class="specification">
<p class="p1">In an experiment, an air-rifle pellet is fired into a block of modelling clay that rests on a table.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_18.13.15.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B3.Part2.b"></p>
<p class="p1">The air-rifle pellet remains inside the clay block after the impact.</p>
<p class="p1">As a result of the collision, the clay block slides along the table in a straight line and comes to rest. Further data relating to the experiment are given below.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of air - rifle pellet}}}&{ = 2.0{\text{ g}}} \\ {{\text{Mass of clay block}}}&{ = 56{\text{ g}}} \\ {{\text{Velocity of impact of air - rifle pellet}}}&{ = 140{\text{ m}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Stopping distance of clay block}}}&{ = 2.8{\text{ m}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) State the value of \(x\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the energy released when one uranium nucleus undergoes fission in the reaction in (a) is about \(2.8 \times {10^{ - 11}}{\text{ J}}\).</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of neutron}}}&{ = 1.00867{\text{ u}}} \\ {{\text{Mass of U - 235 nucleus}}}&{ = 234.99333{\text{ u}}} \\ {{\text{Mass of Kr - 92 nucleus}}}&{ = 91.90645{\text{ u}}} \\ {{\text{Mass of Ba - 141 nucleus}}}&{ = 140.88354{\text{ u}}} \end{array}\]</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>State how the energy of the neutrons produced in the reaction in (a) is likely to compare with the energy of the neutron that initiated the reaction.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the role of the moderator.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nuclear power plant that uses U-235 as fuel has a useful power output of 16 MW and an efficiency of 40%. Assuming that each fission of U-235 gives rise to \(2.8 \times {10^{ - 11}}{\text{ J}}\) of energy, determine the mass of U-235 fuel used per day.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the principle of conservation of momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the initial speed of the clay block after the air-rifle pellet strikes it is \(4.8{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Calculate the average frictional force that the surface of the table exerts on the clay block whilst the clay block is moving.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the energy transformations that occur in the clay block and the air-rifle pellet from the moment the air-rifle pellet strikes the block until the clay block comes to rest.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The clay block is dropped from rest from the edge of the table and falls vertically to the ground. The table is 0.85 m above the ground. Calculate the speed with which the clay block strikes the ground.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the oscillation of a mass. <strong>Part 2 </strong>is about nuclear fission.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Oscillation of a mass</p>
<p class="p1">A mass of 0.80 kg rests on a frictionless surface and is connected to two identical springs both of which are fixed at their other ends. A force of 0.030 N is required to extend or compress each spring by 1.0 mm. When the mass is at rest in the centre of the arrangement, the springs are not extended.</p>
</div>
<div class="specification">
<p class="p1">The mass is displaced to the right by 60 mm and released.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.55.14.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/05_Part1.a"></p>
</div>
<div class="specification">
<p class="p1">The motion of an ion in a crystal lattice can be modelled using the mass–spring arrangement. The inter-atomic forces may be modelled as forces due to springs as in the arrangement shown.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_09.00.34.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/05_Part1.b"></p>
<p class="p1">The frequency of vibration of a particular ion is \(7 \times {10^{12}}{\text{ Hz}}\) and the mass of the ion is \(5 \times {10^{ - 26}}{\text{ kg}}\). The amplitude of vibration of the ion is \(1 \times {10^{ - 11}}{\text{ m}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Nuclear fission</p>
</div>
<div class="specification">
<p class="p1">A reaction that takes place in the core of a particular nuclear reactor is as shown.</p>
<p class="p1">\[_{\;92}^{235}{\text{U}} + _0^1{\text{n}} \to _{\;56}^{144}{\text{Ba}} + _{36}^{89}{\text{Kr}} + 3_0^1{\text{n}}\]</p>
<p class="p1">In the nuclear reactor, \(9.5 \times {10^{19}}\) fissions take place every second. Each fission gives rise to 200 MeV of energy that is available for conversion to electrical energy. The overall efficiency of the nuclear power station is 32%.</p>
</div>
<div class="specification">
<p class="p1">In addition to the U-235, the nuclear reactor contains a moderator and control rods. Explain the function of the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the acceleration of the mass at the moment of release.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why the mass subsequently performs simple harmonic motion (SHM).</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the period of oscillation of the mass.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate the maximum kinetic energy of the ion.</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">On the axes, draw a graph to show the variation with time of the kinetic energy of mass and the elastic potential energy stored in the springs. You should add appropriate values to the axes, showing the variation over one period.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_13.12.52.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/05.b.ii"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the wavelength of an infrared wave with a frequency equal to that of the model in (b).</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">Determine the mass of U-235 that undergoes fission in the reactor every day.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the power output of the nuclear power station.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">moderator.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">control rods.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear reactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nuclide U-235 is an isotope of uranium. A nucleus of U-235 undergoes radioactive decay to a nucleus of thorium-231 (Th-231). The proton number of uranium is 92.</p>
<p>(i) State what is meant by the terms nuclide and isotope.</p>
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<ol start="0" style="list-style-type: none;">
<li>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Nuclide: </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Isotope: </span></p>
</li>
<li>
<div class="page" title="Page 8"> </div>
</li>
</ol>
</div>
</div>
</div>
<p>(ii) One of the particles produced in the decay of a nucleus of U-235 is a gamma photon. State the name of another particle that is also produced.</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 daughter nuclei of U-235 undergo radioactive decay until eventually a stable isotope of lead is reached.</p>
<p>Explain why the nuclei of U-235 are unstable whereas the nuclei of the lead are stable.</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>Nuclei of U-235 bombarded with low energy neutrons can undergo nuclear fission. The nuclear reaction equation for a particular fission is shown below.</p>
<p>\[{}_0^1{\rm{n}} + {}_{92}^{235}{\rm{U}} \to {}_{56}^{144}{\rm{Ba}} + {}_{36}^{89}{\rm{Kr}} + 3{}_0^1{\rm{n}}\]</p>
<p>Show, using the following data, that the kinetic energy of the fission products is about 200 MeV.</p>
<p style="text-align: left; padding-left: 60px;">Mass of nucleus of U-235 = 235.04393 u<br>Mass of nucleus of Ba-144 = 143.922952 u<br>Mass of nucleus of Kr-89 = 88.91763 u<br>Mass of neutron = 1.00867 u</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 in <strong>two </strong>parts. <strong>Part 1 </strong>is about a simple pendulum. <strong>Part 2 </strong>is about the Rutherford model of the atom.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Simple pendulum</p>
</div>
<div class="specification">
<p class="p1">A pendulum consists of a bob suspended by a light inextensible string from a rigid support. The pendulum bob is moved to one side and then released. The sketch graph shows how the displacement of the pendulum bob undergoing simple harmonic motion varies with time over one time period.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.23.17.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.a"></p>
<p class="p1">On the sketch graph above,</p>
</div>
<div class="specification">
<p class="p1">A pendulum bob is moved to one side until its centre is 25 mm above its rest position and then released.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.28.30.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.c"></p>
</div>
<div class="specification">
<p class="p1">The point of suspension of a pendulum bob is moved from side to side with a small amplitude and at a variable driving frequency \(f\).</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.33.24.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.d"></p>
<p class="p1">For each value of the driving frequency a steady constant amplitude \(A\) is reached. The oscillations of the pendulum bob are lightly damped.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Rutherford model of the atom</p>
</div>
<div class="specification">
<p class="p1">The isotope gold-197 \(\left( {_{\;79}^{197}Au} \right)\) is stable but the isotope gold-199 \(\left( {_{\;79}^{199}Au} \right)\) is not.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>label with the letter A a point at which the acceleration of the pendulum bob is a maximum.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>label with the letter V a point at which the speed of the pendulum bob is a maximum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the magnitude of the tension in the string at the midpoint of the oscillation is greater than the weight of the pendulum bob.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the speed of the pendulum bob at the midpoint of the oscillation is \({\text{0.70 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The mass of the pendulum bob is 0.057 kg. The centre of the pendulum bob is 0.80 m below the support. Calculate the magnitude of the tension in the string when the pendulum bob is vertically below the point of suspension.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>On the axes below, sketch a graph to show the variation of \(A\) with \(f\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_06.33.19.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B1.Part1.d.i"></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Explain, with reference to the graph in (d)(i), what is meant by resonance.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part1.d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The pendulum bob is now immersed in water and the variable frequency driving force in (d) is again applied. Suggest the effect this immersion of the pendulum bob will have on the shape of your graph in (d)(i).</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Most alpha particles used to bombard a thin gold foil pass through the foil without a significant change in direction. A few alpha particles are deviated from their original direction through angles greater than <span class="s1">90°</span>. Use these observations to describe the Rutherford atomic model.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Outline, in terms of the forces acting between nucleons, why, for large stable nuclei such as gold-197, the number of neutrons exceeds the number of protons.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>A nucleus of \(_{\;{\text{79}}}^{{\text{199}}}{\text{Au}}\) decays to a nucleus of \(_{\;{\text{80}}}^{{\text{199}}}{\text{Hg}}\) with the emission of an electron and another particle. State the name of this other particle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nuclide of deuterium \(\left( {{}_{\rm{1}}^2{\rm{H}}} \right)\) and a nuclide of tritium \(\left( {{}_{\rm{1}}^3{\rm{H}}} \right)\) undergo nuclear fusion.</p>
<p>(i) Each fusion reaction releases 2.8×10<sup>–12</sup>J of energy. Calculate the rate, in kg s<sup>–1</sup>, at which tritium must be fused to produce a power output of 250 MW.</p>
<p>(ii) State <strong>two</strong> problems associated with sustaining this fusion reaction in order to produce energy on a commercial scale.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Tritium is a radioactive nuclide with a half-life of 4500 days. It decays to an isotope of helium.</p>
<p>Determine the time at which 12.5% of the tritium remains undecayed.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The Feynman diagram shows electron capture.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that X must be an electron neutrino.</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>Distinguish between hadrons and leptons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Rhodium-106 (\(_{\,\,\,45}^{106}{\text{Rh}}\)) decays into palladium-106 (\(_{\,\,\,46}^{106}{\text{Pd}}\)) by beta minus (<em>β</em><sup>–</sup>) decay.</p>
<p>The binding energy per nucleon of rhodium is 8.521 MeV and that of palladium is 8.550 MeV.</p>
</div>
<div class="specification">
<p><em>β</em><sup>–</sup> decay is described by the following incomplete Feynman diagram.</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Rutherford constructed a model of the atom based on the results of the alpha particle scattering experiment. Describe this model.</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 what is meant by the binding energy of a nucleus.</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>Show that the energy released in the <em>β</em><sup>–</sup> decay of rhodium is about 3 MeV.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a labelled arrow to complete the Feynman diagram.</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>Identify particle V.</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 in <strong>two</strong> parts. <strong>Part 1</strong> is about a nuclear reactor. <strong>Part 2</strong> is about simple harmonic<br>oscillations.</p>
<p><strong>Part 1</strong> Nuclear reactor</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The reactor produces 24 MW of power. The efficiency of the reactor is 32 %. In the fission of one uranium-235 nucleus 3.2×10<sup>−11</sup>J of energy is released.</p>
<p>Determine the mass of uranium-235 that undergoes fission in one year in this reactor.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what would happen if the moderator of this reactor were to be removed.</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>During its normal operation, the following set of reactions takes place in the reactor.</p>
<p>\({}_0^1{\rm{n}} + {}_{92}^{238}{\rm{U}} \to {}_{92}^{239}{\rm{U}}\) (I)</p>
<p>\({}_{92}^{239}{\rm{U}} \to {}_{93}^{239}{\rm{Np}} + {}_{ - 1}^0e + \bar v\) (II)</p>
<p style="text-align: left;">\({}_{93}^{239}{\rm{Np}} \to {}_{94}^{239}{\rm{Pu}} + {}_{ - 1}^0e + \bar v\) (III)</p>
<p style="text-align: left;">(i) State the name of the process represented by reaction (II).</p>
<p style="text-align: left;">(ii) Comment on the international implications of the product of these reactions.</p>
<p style="text-align: left;"> </p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A possible decay of a lambda particle (\({\Lambda ^0}\)) is shown by the Feynman diagram.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the quark structures of a meson and a baryon.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain which interaction is responsible for this decay.</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>Draw arrow heads on the lines representing \({\bar u}\) and d in the \({\pi ^ - }\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the exchange particle in this decay.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline <strong>one</strong> benefit of international cooperation in the construction or use of high-energy particle accelerators.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The first scientists to identify alpha particles by a direct method were Rutherford and Royds. They knew that radium-226 (\({}_{86}^{226}{\text{Ra}}\)) decays by alpha emission to form a nuclide known as radon (Rn).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the missing values in the nuclear equation for this decay.</p>
<p><img src="data:image/png;base64,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"></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>Rutherford and Royds put some pure radium-226 in a small closed cylinder A. Cylinder A is fixed in the centre of a larger closed cylinder B.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>At the start of the experiment all the air was removed from cylinder B. The alpha particles combined with electrons as they moved through the wall of cylinder A to form helium gas in cylinder B.</p>
<p>The wall of cylinder A is made from glass. Outline why this glass wall had to be very thin.</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>Rutherford and Royds expected 2.7 x 10<sup>15</sup> alpha particles to be emitted during the experiment. The experiment was carried out at a temperature of 18 °C. The volume of cylinder B was 1.3 x 10<sup>–5</sup> m<sup>3</sup> and the volume of cylinder A was negligible. Calculate the pressure of the helium gas that was collected in cylinder B.</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>Rutherford and Royds identified the helium gas in cylinder B by observing its emission spectrum. Outline, with reference to atomic energy levels, how an emission spectrum is formed.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The work was first reported in a peer-reviewed scientific journal. Outline why Rutherford and Royds chose to publish their work in this way.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A particular K meson has a quark structure \({\rm{\bar u}}\)s. State the charge on this meson.</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 Feynman diagram shows the changes that occur during beta minus (β<sup>–</sup>) decay.</p>
<p><img 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" alt></p>
<p>Label the diagram by inserting the <strong>four</strong> missing particle symbols.</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>Carbon-14 (C-14) is a radioactive isotope which undergoes beta minus (β<sup>–</sup>) decay to the stable isotope nitrogen-14 (N-14). Energy is released during this decay. Explain why the mass of a C-14 nucleus and the mass of a N-14 nucleus are slightly different even though they have the same nucleon number.</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 radioactivity.</p>
<p>Caesium-137 \(\left( {{}_{55}^{137}{\rm{Cs}}} \right)\) is a radioactive waste product with a half-life of 30 years that is formed during the fission of uranium. Caesium-137 decays by the emission of a beta-minus (β<sup>–</sup>) particle to form a nuclide of barium (Ba).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the nuclear equation for this reaction.</p>
<p><img 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" alt></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>Determine the fraction of caesium-137 that will have decayed after 120 years.</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, with reference to the biological effects of ionizing radiation, why it is important that humans should be shielded from the radiation emitted by caesium-137.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Nuclear physics</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define <em>binding energy</em> of a nucleus.</p>
<p>(ii) The mass of a nucleus of plutonium \(\left( {_{94}^{239}{\rm{Pu}}} \right)\) is 238.990396 u. Deduce that the binding energy per nucleon for plutonium is 7.6 MeV.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with nucleon number <em>A</em> of the binding energy per nucleon.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">Plutonium \(\left( {{}_{94}^{239}{\rm{Pu}}} \right)\) undergoes nuclear fission according to the reaction given below.</p>
<p style="text-align: center;">\[{}_{94}^{239}{\rm{Pu}} + {}_0^1{\rm{n}} \to {}_{38}^{91}{\rm{Sr}} + {}_{56}^{146}{\rm{Ba}} + x{}_0^1{\rm{n}}\]</p>
<p style="text-align: left;">(i) Calculate the number <em>x</em> of neutrons produced.</p>
<p style="text-align: left;">(ii) Use the graph to estimate the energy released in this reaction.</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>Stable nuclei with a mass number greater than about 20, contain more neutrons than protons. By reference to the properties of the nuclear force and of the electrostatic force, suggest an explanation for this observation.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The radioactive nuclide beryllium-10 (Be-10) undergoes beta minus (<em>β–</em>) decay to form a stable boron (B) nuclide.</p>
</div>
<div class="specification">
<p>The initial number of nuclei in a pure sample of beryllium-10 is N<sub>0</sub>. The graph shows how the number of remaining <strong>beryllium </strong>nuclei in the sample varies with time.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>An ice sample is moved to a laboratory for analysis. The temperature of the sample is –20 °C.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing information for this decay.</p>
<p><img src="data:image/png;base64,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"></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>On the graph, sketch how the number of <strong>boron </strong>nuclei in the sample varies with time.</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>After 4.3 × 10<sup>6</sup> years,</p>
<p>\[\frac{{{\text{number of produced boron nuclei}}}}{{{\text{number of remaining beryllium nuclei}}}} = 7.\]</p>
<p>Show that the half-life of beryllium-10 is 1.4 × 10<sup>6</sup> years.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Beryllium-10 is used to investigate ice samples from Antarctica. A sample of ice initially contains 7.6 × 10<sup>11</sup> atoms of beryllium-10. State the number of remaining beryllium-10 nuclei in the sample after 2.8 × 10<sup>6</sup> years.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by thermal radiation.</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>Discuss how the frequency of the radiation emitted by a black body can be used to estimate the temperature of the body.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the peak wavelength in the intensity of the radiation emitted by the ice sample.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Derive the units of intensity in terms of fundamental SI units.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Radioactive decay</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the phenomenon of natural radioactive decay.</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 nucleus of americium-241 (Am-241) decays into a nucleus of neptunium-237 (Np-237) in the following reaction.</p>
<p>\[{}_{95}^{241}{\rm{Am}} \to {}_X^{237}{\rm{Np}} + {}_2^4\alpha \]</p>
<p>(i) State the value of <em>X</em>.</p>
<p>(ii) Explain in terms of mass why energy is released in the reaction in (b).</p>
<p>(iii) Define<em> binding energy</em> of a nucleus.</p>
<p>(iv) The following data are available.</p>
<p><img 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37/8n/iA35IgARIgARIgARIgARIgARIgARIgARIIIgE/jWIdbNqEiABEiABEiABEiABEiABEiABEiABEjASoIKCPwQSIAESIAESIAESIAESIAESIAESIIGgE6CCIuhdQAFIgARIgARIgARIgARIgARIgARIgASooOBvgARIgARIgARIgARIgARIgARIgARIIOgEqKAIehdQABIgARIgARIgARIgARIgARIgARIgASoo+BsgARIgARIgARIgARIgARIgARIgARIIOgEqKILeBRSABEiABEiABEiABEiABEiABEiABEiACgr+BkiABEiABEiABEiABEiABEiABEiABIJOgAqKoHcBBSABEiABEiABEiABEiABEiABEiABEqCCgr8BEiABEiABEiABEiABEiABEiABEiCBoBOggiLoXUABSIAESIAESIAESIAESIAESIAESIAEqKDgb4AESIAESIAESIAESIAESIAESIAESCDoBKigCHoXUAASIAESIAESIAESIAESIAESIAESIAEqKPgbIAESIAESIAESIAESIAESIAESIAESCDqBGzyRIKp/pCfZmIcESIAESIAESIAESIAESIAESIAESOA6JNDY3NRhq2lB0SEiJiABEiABEiABEiABEiABEiABEiABEvA3AY8sKGShtGhA5LT8JgESIAESIIFQICBbAXIMC4XeoAwkQAIkQAIkQAJdnYA899LSTlpQaKHENCRAAiRAAiRAAiRAAiRAAiRAAiRAAn4lQAWFX/GycBIgARIgARIgARIgARIgARIgARIgAS0EqKDQQolpSIAESIAESIAESIAESIAESIAESIAE/EqACgq/4mXhJEACJEACJEACJEACJEACJEACJEACWghQQaGFEtOQAAmQAAmQAAmQAAmQAAmQAAmQAAn4lQAVFH7Fy8JJgARIgARIgARIgARIgARIgARIgAS0EKCCQgslpiEBEiABEiABEiABEiABEiABEiABEvArASoo/IqXhZMACZAACZAACZAACZAACZAACZAACWghQAWFFkpMQwIkQAIkQAIkQAIkQAIkQAIkQAIk4FcCVFD4FS8LJwESIAESIAESIAESIAESIAESIAES0ELgBi2JmIYEgk9Aj+aSmUhYc9KFKN0xZH4xtuXci3BnqZpKkBiXhzPO7ndLRemZtYjTOUsQpOuu5I5egeqDGehvI1o7mo+sxaInt+GMXoc+CUuxsSgNMeFhNqlcnuhrsWxIGva2O0mlWq+TtLxMAiTgnICrv2/nuSx3dNGpWPzwIPS6azKSYiIs1x0PfPBccCzU+ysePWtCtC3e02AJJEACnYWAq2c350jaetFQh8IxM1DcMhTLa3ciPVLDBNwVd0ut4YgvehclybdYrmg7MKC1Yj5GZh2B3mWG4drldVpOG2qzJyK9/JLTFDY3nL6jdFROH0wrO4SCeKdvRzbVhMIJLShCoRcogwYCOvTPKEdjYw1KFyagj2qOazizORvLKhphUL0vLkZmoKq5Cedr38CChL7mVH0RP/8FlNaeReO5EFROSFIa5f4c5fNjoOHRDUP9K5idISknpMx6XKrOw4ysA2iVTrV+dHEoOCex2oTp0d215mI6EiABdwmYn0uNzZ9jX+44J88354XqG8pRuGYVlk69FyPnlqC+Tf0J6JPngnMxPL/jwbMmZNviOQXmJAES6GwE3JybdbbmBUJeQ8NRvNsiJqt9YxHbT8sMV0glj5ku3wnaULPhTdSrD4fOm2Y4jS0bPnSinBDvC7n7UCfeIxqby7UpU5zXJO6EI67wP1G3Px/TnM2zddGYXlKD81KdTt9RpHI+FTKdRXXZU4jvY+Woi56Bgv3vdCrlhISMCgqXPxzeDDkCYZGIW7IRO4secjKJb8GRZSuxtdHZsr+pRWGR4/DbN15GZl8ddAmLUZAzC3GR3UKuubYCRWDo+HvQ2/aiypkef/q8Di12d/SffIYG1+pguxymU4lVhlid5YcESMDfBCIQk5aJKeK55PCRVuOMkyIxSZEmZc/+VmVCY1ZGznoZdQ5KCt8+Fxzk88EF7c+a0G+LD3CwCBIggU5BQOvcrFM0JsBC/oiGD2rEfFWHvg+PRbQbRr5GQaV3gqdnYpSz6XtLDY40/OhWmywKE7VcfR/Ck2mxzq201fJ0eC0M4THTseaFmZCXTW2z9EbssH7QhqYb+scvRO7cocYidMNW4N39eZjm0rLStrZQOaOCIlR6gnK4QUD8ASb/BnOinTyR9CeQP3MVah0m6HZVhHVHz55hCIvogZvsboXqaVh4T/ToUDgdbr0r1uFBpxt5D6JV3ns6LI4JSIAEAkfA/FxyWaE0KUv7jVgV2Y914x2nNPqGYvy2+LSdJVlXei50pba47GneJAES6AQEtM3NOkFDAi2i4SyOvN0kao3EpPGDNb6E2wmp+zluH+jkfQDnUbbxsBvWw9/iwMY9+O5XCRitVmRPMQfXpimwE7Lj07CYx/B0gsoWDPFOs6vygt147qo8Pa5e+R7QjcCSdY8hyk/yupLAF/eooPAFRZYRegQu7cb8tDI0umvaFXot8UiisJinsb3kcQwxKiQkHxQrsLtoClztTveoImYiARIIHoGwKCTlL0a8g+JRj5bSYhxotX0AdqXnQldqS/B+QKyZBEiABIJHwGKt0Dce46Jv9EKQbvj3hF85LMxJBeo/PoyP7MZCpxW1nsChj4FRk0ZrsFZ2WoqHN27BlIXTVdpwDfXbD6DBdjh3XodR6fMN+qYvwZwoNS2L86yhdIcKilDqDcriJoFuwimmMHNW7LVSFqA/tQ6zlh9Bm/LidXMsrEzGPYeqC9I+ufP4ZEuGew4yrxtObCgJdA4C3Qbdjp+riRoxAhNHq626fI2L3/yPXY6u9FzoSm2x6yaekgAJkECXJ+Dl9g47PmEj0pxYIHyIV0rtLQrtMhtP29FYuRfHek/Hk1NvVUvg92tOrShaDuGtjy5rqF84+KwqRtl3o/B0+lDPLFI01BKIJFRQBIIy6/AfgZ4PYM3OpYhxWEGUqhT7sctXuXaa6T/JWDIJkAAJBIDAjegRobZK8gOuXP3fANTPKkiABEiABEjATQK+2N5hU+W/IX7mRBX/dMKi8O2jHVsgGL5ExfbT6O2JLwwbObw56e2kDV+jauexjreqGC5g/86T6J0ufFlFdNK9HWZ8VFB48zti3pAgEBaVhtLiGSoPJUk8yWnmUhTVuRW/IiTaRSFIgARIoGMCP+Jqq5pT4Ftxe+RPO87OFCRAAiRAAiQQYAK+294hC/6vCB+TrO5kumUPflf1rZxQ5duAto8qcCDolgfCYaaTNuiri7Gl3rXDT0PDAbx5ZhAeS7mjU1tPSB10g0ov8RIJdDIC4g86/lnsyG3CpDUnHEMD6etRvKAIww+/iLhwLRrF8yidPAX5DWqTfmvcY31NDoamlUMtVbfUMpwujHMdErStHpV7/xN/eLsEexuuWZjrolOx+OF7cfe0h93fluEqNrTT+MlS1eLhXP823tq9FRvKG0wMRWijadmL8ETaryyyuX1gbONhHNqyFTWXzCFE+iQgc95MpM6OQ38t3eF2pcxAAtcRAeOeWceNbLqE6Zgqx5N367ngKp66HEvdgPqKPXhre7H12SX9XS9dgHnJMR14OPfyWaO5Lf5uh/iNGZpQu/0dvF9l+wx3+euTorEczEB/l4mc3HT7eRoABm7JpEdzyUwkrDmp0kDr2AqxTlhfUYrfrdtiHDd00Y9j4ys5GKsWacujPngCywdVIb/8kooc8iWxhTT3AKoyBhovqI73LsdUuRxhy+lirgDj7yEJV8uL8ELubnNocCmvFP58MZ7MnKJ9HhDsvrA22Xzk699fJ56bObARF9zqL8cCDE212PH+YRwoKrf73fwa9w0fj1nxkU5eUn3dL46ydXzFt9s7LPWFDcXcxfejLOuI3btAG469dwKtyUlOfLF9h5qdR4GpaxAvWR54EPHOIoOX/YqwO5A8OxZlDu8zTXj3g7PIiol10q9mB5+jn8HUTux7QuZICwqZBL87OYFuiMp4FZtTb1Nvh1tOMwci/WA9qp2GMjVVoYtfiy9Pv+HUB4a6INLVdjQfeQGJw5OwdE0Jzo0sFjGVL6KuYqHRqaW+oRyFaxYjZcJ8lNa7afnhSUxuMcE7uiIJI6YuRqGknOjzENbVnkXjhbfwRP+PsWTac3j/gmutrWNblW3cjcvxL6O6sQnna9diHD5G8ao0TJj6Ao42qal3HEvjFRIgARUCbXUozd6AGvvJVJ8Z2Kx0iuvWc8Ecl71MzSpN7G89uRPLJschJWu9VTkhiXapGsVZs5Fecs65t3FfPGs0t8WP7TAqdEuQMfIBpK96SXBoNzoi3nf6oggBe1Q1sopK77lxydPnqT8ZeCKTDv0zdlvGOlUAhkZUzksUv6/XLUptfcM2LFz9np15s6To8rQPemJs/i4UPxqtvohgHAPrLcoJSU7TeL8PyxOkqDnC8fT4taj+ci3iVLeX2rbMmNfp7+JvOLk2AzOylcoJKX8LajZnIWX4NBR2aAEa7L6wba/1zNe/v048N7NCEUee9JeyAKHAK5mH0XFpWF2wH5dHr4Dx2dN8FtUlY3G5tACr0x7A6LkbUKs6x/J1vyhl03js8+0dcr1hiLh/Akap/F26skAwNL6LXR/3wJQZIztQsMv1qH17269ymeJ9JmmaShvUnV/LuWBcrLgZaQsnOFHCWFJ2igMqKDpFN1FIbQR6IW5FPjKju6smd89ppnDAdn8c/l3lIWdTePhwPDDandgYYlJVswozM7aZNN59Z+K5JfeKB6KwAol9GA8NVuwlv3QE+b8pRb1Wz70WwdyJyd2KuvVZWLjLbDWB7oiZuwBTjCtVkhO6lShdCOwo/9JSescH4iFdsdS2jS8+aLSWCItMxpql9xsnhcZJ59ObUNdRONiOK2QKEriuCEgrZ1tL8pExYQbyq1sUbZdWXYuwT9VazJ3ngngejRqnElv+snhpKsa5OwusCkcbJ8XC23jhC9jaqKZ49OWzRmtb/NEO8QyvexmPp+ZZXqChux9ZhWmmlW6VyCq66IUol5QXzcJpsdvWE94+T/3BwBuZVMY6yy/4MmrXlwPL30ednYJMf7kVVjtDH/SBCNU79sW1WDJMZb7QKpzL3qQy+IdHY+yIfwP6pGB1YbJ7FoDid/Hw9PugGOFNrW54A8s2X8ao3H1ioUL8Pk7vsp3DSBag0xeiVPVvSioi2H1h6TwnB77+/XXmuZm3/WXK31iyEDPWHIHR/kcXizkrHjNb2UhztqV4Ll2y+hE+2KpfRfqMpahUVVL4ul+cdL+Ty77f3qGoKGICnjQyUFwzHposEByn1MKaY98+fDEkBckeRxLx5u/QXk5x7qwN+pM49OF3Khl+RL2I3HXMqzaoFBvES1RQBBE+q/YDgfB7kfXKSoyzmTTL9bjpNPOmHvC5j5m2GhSs2GcaWMRrel8bZzx9ETuynyys6fu7RjR58AKvNSa3ob4Uv91cb7VmE3GTH00aoDAfE4NY/EJkqcVmtpXUcmZofBNLlr3jpI222m19w3bk73UnvrOlGh6QwHVFoL08DYP6RyJK/BsorZytecP6gixtr3i2TCgNjqEkJ8mpSbjW54JzsGLlOLUI2/JkheN4PGKvoNWfxjs13zgU4etnjXdt8bwdQsOMggXFCpNq0dTBwzFMOVhE3Il7FMpmfUMxnsqr8SiilP+ep54z8I9MP+Lc5nwcHZ6OpMgbxT7sWZijUB7oekUI9bn546s+CBuEOet+4+hk2+lLgB5Xr/xDKPFnYbSm7aKywK6+xaJAbglez4g1rdxKc5gNdjLpT2B9nr0FianMoPeFq6a5vOf57w+deG7mbX9J+XMKFVuZew9FbH+l2utGRI+Pt4aqvPQOVmS9iUbHt3InveNFvzgp0fGyn7Z3WCoSDFJSHP+uxUxXLfw22j7BW/uvYtTMSYjycNuxt/1qEd1yYNePluttqNnwpuPCpQ/aYKkiRA6ooAiRjqAYviMgrdIXbMo0bpdwLDWYTjPF6lDeGuyVfTEII6x7h0cplAE3IiYzz2xCKkkuVkOzM0374Rwb4oMrpv1qyvVX9I5CpMPEqxeGjRigsT5RZt7vUG8xObdvoyjGZnLhZnxnjVIwGQlcVwSk7RWrMjFzXj5KK+o9ehHWxisCoyYMV5jA/hSRA+zDsbXjwoU/W5WexoL98azRJrF6Kk/bIba4VO9FleUZbirdMQTszYgapAz9KpTjB48qnovqUjle9efz1FMG/pLpS+w/3hcpY3qZMEjKgyLzYoPYcpG38kGz2bJv+yAsKhELptpvDXXyEiCZpR/qY6fEd+w1t64IK8rctEGKeQAQFjUGExQKLqk8/cd7sd/BiiLYfeFWS+0Se/r7syvGJ6eBmpt521/2+cVmo18OQD+7l2p75a3+1E6UaApRKcEMQL/4bXuH9ccQFjUJj6qG37a3QDA/TzAWjyb0thbg1pF9v/hm3us85GgNjjQot137og1uNTggiamgCAhmVhJYApIJ6QK8XPCQemQPs9PM2rZ/Blas1mPYtf9r13WGxyJ9yzGTKXCzWA2VV1Vc5/LsrppzvZ490cNusHOrcIcyVSIJ6H6O2wcqNP4t9g9bt2pkYhK4LghIjnfPSSbgxn9ir3HZi1g+P0HxjJNMet9AfpbwJzM5xPy7ODwXRJd5+6wJSq//E9eutNkpXzQK0i76rsWiudWWyYFbCDxP/ShTt/vuxp2K8ScsMhWvnziPxhOvCasKeczwdR/0wugZE60rznLPOHj9F9tKPqrCHybO9W34PtW/AxVrSv05fHb6iiyd6TvofWErTqc9C9TczNv+csgvlFkRPXCTPfibItDLZoeSxhCV9uX46dyv2zssMt+CKQunO/5dC/W9jQWCHJZzarLnVlEO/eKr53RvjHlwuIqfnPMo23jY6pPHcBpbNhxDb2/aYOEWOgdUUIROX1ASnxIQe/GSn8er82NU/rhFRUanmWIvtWazN++F0//xMxx3c37qfa3OSzB8cwHnfSqP0OJ+eBjH3C7zr7jwX45RCJxLzjskcL0TEM+3+F8jPacY75qd6yqJSP5dMmesQq0H28OU5fjq2PfPGl9JFsrlhOLz1J8ydcOAAT9XH6/93E3qK5XC6//OdxWm8ZKX/69w9/jBNtYO/hFNhx49f2ZXdBuOf/aVQjnWNfvCrtEBOQ3M3Mzb/nIjv42Vqgmh/qsL+CaA813nHScUff/ViO8ctjg7z+HpnbDoKXhMsU3MUo5iUcwUlnM4nk4f6uHftRv9YhFAOtAy7xVbohMzkdbXRttkLEX/8WF81GrqUKPCJ+jhUW0a55MThhn1CUYWEpoEIhC7JA9LPktF/imrey1ZVv2pKuwXJ93ukK/481uPP4soFmqu4/xZq/Oy5UHCeQr376itbJ1EftxA5LssrB2Xr/y3yxS8SQIkoEbAZC1WlP25Y4jlS/uwMi8O7xaOU2zJUCvD39f88azxt8zOyv9XdO8ZbnyJdlsP2zcWsf0cJ5rOagJC8XnqT5nCMSjqZuc4LHf80Qe9ET9zIvpU7zb7TjJVpj+1DxUNM5Edc6OIfHoChxpj8aTHTvQsDdBwoN7G9nMX8WeI8NzGEkKhLzQ0JeSTBGpu5m1/heObi18rFFQSWDeUemZ/ZjFKXzlB6Zvv8NF7J0U7IjHJ38q+sAGYOnME1p+yDzlqskCYu2UCvvmgBt+NzsQYj7l4268ddELYYIx7OBLFm8/bJtR/iFdKT2NKzr/hwMYK/EMOj2qbqlOfUUHRqbuPwndIQOxjTS8rwsUJCxS+HzrM5YcEknOt7+3KbUfrVWkfmXKvsl0Sv52qPVS9rezvaLrwJ7tC+mBa2SEUxAejjXai8JQEuiQBc0gy4TjNNtyo2PKxfy9qcuKR5PHkyxfA/PGs8YVcnpQhVrQSpiGxz4c244mh9Sp+EMVZ4zn9iKutSnW0cIQ4ewqiFdsXOq49FJ+noSCTP/pAKPrGJGNK330ottmG04QDuz/BvJhRaK08jLDfPI8Yt/qw415WTxEmXDX1MK7oOleEhUJfqEvfua4Gam7mbX+1oa1Vesp4+NG34coPYltzUMcCIbu8HaLvdIzzu7JP/VkhETRaIJz/Bw6VAmnl3oTl9LZfO+pP4ZsuXfiiK81yGN9b9legduxtpvCo5d6ER+1IhuDc5xaP4HBnrYEkED4Oa3YuVfHoG0gh1Ew2/47zF/+CkLC68wmK/4fwCPvdkLISxicVsBASIAE1AuG3YUBvldV5eVKqlofXPCMQHo9ldk6Ylea2xkLlSbjxRHjFH78S6+0cIXZceSg+T0NEJn/0QdhQzF1sCoFt7Ruzku9yAyp23oDx93vqRM9aou+OQqQvfNegIJUUqLmZt/2llt8NZLpw9Lwp2K988nYI+wh2brTD3aThI/HI1EjHXMICYe2s9TjWO95LRYlav/h43hsxCo86OPIVTbq0H88teB1fCAuQuZKVVxf7BPvX2sVwsjmhSiAsKg2lxTMUDuUCLanVZNNaswh59PZRNARFQ6HDz6MiHWOyW4Xz4ChQA70HojELCZBAkAj441kTpKYYq5W21SzCtvJ8TIs2B74Uk92i5RVolp7lbXUozd5gXu3qjiGPvoydm1PR3+2V91B8noaKTP7oA3m11U7RJ/Xt3FV4N2qsF2bgvvm92kaLCZW+8E3bgldKoOZm3vbXT9Dv9tu0+WhpuYhzSgMuCa5qhLZAUw/g9g5L08wWCHZ/1sKGAn8T0ZhGLX7MS6sob/vVIqiLAyeOfMWm8UuXfobEmaMU1nsuiulkt6ig6GQdRnE9JSAmNPHPYkfuCG0PeE+rcZpP1P+LKDisvyic9TjN6qcbusjbMcC+7PMX0eTcptQ+td25DrfeFWvnNTmYShg78XhKAl2VQNvXuPCdyh9uSKyaiVB4Pn/WBLsjxfM8ZjoKDh7GugRp+5pYaf8gBwlC6Rs1NAX5H/fEtGUvorT2D6jKe9AD5YTUvlB8noaSTH7oA9XVVtG3DXpMWuiNGbi7v1c1vwjhuO+eXyrmL6HUF+62L5TSB2pu5m1/qclpEFuHr2mywlULRxrwXpAty/p6a7XgpuTOLBD6TPQitKgsg7f9Kpfj+tupw8++E/GIHJrZdRGd7i4VFJ2uyyiw5wTEXu201cgb39fzIrzIqf6AsQsX5EX5bmftNwz32XsHbj+Nk18o4yu7V2pY9FhMsi/TIVybskzhQK/mNRTWXFZe5DEJkIBmAu1orNyrGj1HN3pC0Fd9jc3ww7NGMx6/JBTPrfo9WDZ5EorClqNaOEA2hX81f184gIInfo04S2hMz4QIxedp6Mjkjz5wstoa6BcqofBy8FmlG4R7hva0+SGFTl/YiNXpTgI1N/O2vxzlFFYAwi+F8CzRwee2EFhll7d3CNeeduGEOxDeB7fVLBDENhMfheX0tl81NdDs8NPWECQc8V5bgGiqPSiJqKAICnZWGjQCYVFIKixEpmya60oQ3c9x+0A59rqc8HtcabOuVBoa92LT/kvyTdff4gGTsvAhh20m+uoNyK1odNSCGxpROW8Glvnr5V11z63JKZgy6KehaT8Ktpx23Tb5btgdSJ4dq1jlkW6IuNPr8lHZZG9zCBiaDmDdyTsxL76XXAK/SYAENBMQL2l1m5AlHGRan0rmzLoRWLLiwdAw/fTHs0YzI18nlJi/jMdTl2Nvw82YMv8hDy0kNMgVis/TkJDJj33gsNrqiYNTDX3rMkkbms7/1SaFbvQ0TI2ym4+ERF/YiBmYk846N/O2v1TmkKbILrbY9U0XcUFxSTdsJjKCvsoub++wtwRSCOrHQ4dQwrpYPJZyh4ehRe0E9bZf7YpTP1XZguYTCxD12kLhKhUUodALlMF9Aq1f4LOzbTh34gu0ups7/F5kvbIS4/rY6iIdi+mHuIeH2r1sW1/gDU3lWDBzHeod3gwcSzJdESZ68YuxOvU2uwQtOJL1OJ5Yf8S0h1ncNTQdwUvznsSOqKewTPHybmi7gqt2uT0/FQ+8xN9iiU2caGHOWr4Ky4wKE9MKVe7Tb+DSzVb/9Jb6zh5CeZ09fclK5Tm7MkWOS+9g6YyFeKmmyayIaUdzzQY88XQ9xmaODkocE0s7eEACoUTAcA1Xrjg6pmn/uBJvW5R80t9mFUrXZmJS8kacsX8G6WKQuWcj0u1faHzeTpWVXlGHHNXCWp0/njXW0r0/0toOqXGn8cbTxWbmf8HxD/4oVLD++gTyeaqVgQ9k0v8ZF8/bK6zdcCzn1z6wW20Vir5Hkwb45kVG7WfSsAMF9gsUsim8nN6psjEE+kKW0etvrb8/qaLOOjfztr+kOWQWXp0fY52Xnj2JU63K8eJHfHHytDWkfZ+HkFf0GKLc9oEjd6g7/SLnUfmWf9O64Zjoa2ezxjGzvYPtLr0x5sHhFm6qCj8VsbVd8rZftdUCmy1ovrMA0Vh7wJNRQRFw5KzQOwLSxLwShWYnZJL1wbK1lahvUz6gO64hLDIZBXae2B1zqT10pBf4eYjtH4mBcatxaerLWJfaxyFr+8dH8J+qMvVCXP5WFD8abXlQmjK3oGbjPNMeZmPZq3B2RB625dxrfXk3NKF273F8Z1+bg6KgFXXlh3DOPl37cbx10M5SwxiGtdjOokRSmIzFwP63I3bqJrTN3oiih2+1L01su65HcfJdiJpcgmblXWOZW7E8wW4rzaVqbEqLF+WKfdr9B2PCyz/gkVdyERfu8ciprJXHJND5CUh/4xs244BNqENzsyQlX9xg8bcj/f1If5uLkb+5Grb2WyJiRMJTKP1gF7Jj7ZWKbjwXxPS2+WAljtm/Qwp18LHDJ60v5G1/xJFP/uLAXf9lLT6yKFPMt336rNHaFj+045tTOG7pn2s4s/lR43hg6hepb+z+DZiCZa+XYKtFOeuAy/UFr5+nfmDglUzO5GnDse0lOGr/u1Gj4+c+UK62+n2bVHQqHsEu5MoLFJLl5HLZyapofEfKxmD3hVr/2Fxz1t9ePEuEe2/HhZDOMDcTYLzqLwlsBGJzSrA7d5zJGlcvnLhml5nnwIL1kXV4ofS8sQd00Y+jePc6JKluNfNHvxirVfnPur3D139PpsW8RSI8cDtaSlcht7zeOj7ZSCIpyTORZtyC3MGWFzEOH33uZVQ5jH+iQKFQXFNS51iH1/1qI6yTkxsRnZJiikjoSwsQJ7UF+/K//J/4uCuENABLH2nPJT8kECgC+pocDE0rt2qGHSoejuW1O5Ee2ZFlhJxR7N0umYPkC/NwsjDOTmEgpxHfxpeGNVi5UX4ZkF4C5iB95nTMiu+Bj7MnIr3c9jXBlLsPppUdQkF8uKIw+VBStLyNfR+8g63Kl4w+Ccic+xDGTXsYMcoX96YSJMbl4YycXe07egWqXwEWdZSuWypKz6xFnBKT1Mbte7Drja2oEZ6NpY8uegZefCEL02JuQnPJTCSsOYchqRl4aIDZzDTsdoydHefCvLkV9RWVOPLeDhRXt1gk1okJ2eLZ0/FIcoxV+WK5ywMS8D+BkBvDtPx9O8UiIkUY/y57IGpsirrfAy3lW54Lbah1+kwzCyHS/k48a36b6ep53A1Dcg+gKmOgreTePms0t2U5kOvs2exFOwx1KBwzQ0yI7c1WbJvpeCb6aX6xrdLZMZGLK548T/3cl0Jh5d4zXm8eS066aKeT340yh9/7QIzPNc9gUtpxjCrbK8Zw32xBVJ3DSOP2wTSEi/nAW7u3YkN5g2m7li4a07Lm4JHpdnMBJQeb4yD1hY0M9id+/v11prnZwQz0t8Hjbn/ZZDaeGJpqseP9wzhQVK6wojPNT+c8OAEpTudYfu4XB1G/ReXcSVhaDcQXvYuS5FscUrh9oaNxwPh3Zc/cNOeftH0odn+U4xC9Q/Xv06Vgau8c3veryyphYrkCz+CTLUmhsYXTtcA2d92Ze1FBYYOOJyRAAiRAAl2dgDuDZFdnwfa5S0C8vEo+KKarbK3psCjh1MxXE/QO6+rKCQLQB62VyEi+gCerHV9kPCWr+gKk+iLlaQ3MRwIkQAKhS8CduRe3eIRuP1IyEiABEiABEiCBkCIg9oHHZqHi8AqTqa1bsoltDO+dcN9vklt1XA+J/d0Hkkn6UTROHIto7kC8Hn5QbCMJkECIEbghxOShOCRAAiRAAiRAAiQQogSECW/JcixccwSXhBn+9JKXsWpcpBMnipK57x68tb1YRPy4ZmyP/nIrpCN7DyEh2tgQFcvPfWC4gP07L2HCM4Od9GuIYqFYJEACJNBFCNCCoot0JJtBAiRAAiRAAiTgTwJiZb1iOWZIygnhtahv+rMulBOSHBGISV6ANS/MhOwyWNcrAt39KWKXL9tXfSD5gSpBxoiBwrFpNBLXfmpxfGdoOCDcVk5EcvSNXZ4mG0gCJEACoUiACopQ7BXKRAIkQAIkQAIkEGIE/olrV9pMTgzF2nqPnt01rbCHhfdED2NLOvAeH2KtDU1xfNQHUqjS36wzO4WWorFswL4myfHpZXy8+ziiZk7yIjRjaJKjVCRAAiTQWQhQQdFZeopykgAJkAAJkAAJBJGADrfeFWu2hmjHmS3bUKsaTlop4mXUbt4pIjAJ7/qpuVjmo4gQyhqur2Mf9cE/f8CVvykjsXyPK20/oLliFVYevw9PJvog0sD11TFsLQmQAAn4jAAVFD5DyYJIgARIgARIgAS6MoGwmKexveRxDJHCNF/ajfmzVqC4rBbNBrtWSyEQy17DsskJIgy1AfELN2Fn/jiGVrbD5MmpT/pAdycemHybovrzKJ56FxKyzmDUqjSHEISKhJ4dGhrx9p7jjmHSzx5CeV2rZ2UyFwmQAAl0UQIMM9pFO5bNIgESIAESUCfgTqgr9RJ49bonICkgtotID/97Ee8UleOMcjHeCKcv4uf/Gvf0Goixs+PQn9EgfP+T8bYPpPwb1mDlxmrhUwTQRc/Aiy9kYVqMb12YqoYXdaDRDUNyD6AqY6DDHV4gARIgga5AwJ25FxUUXaHH2QYSIAESIAHNBNwZJDUXyoQkQAIkQAIkQAIkQAKqBNyZe3GLhypCXiQBEiABEiABEiABEiABEiABEiABEggkASooAkmbdZEACZAACZAACZAACZAACZAACZAACagSuEH1qsaLsqmGxuRMRgIkQAIkQAIhQ4BjWMh0BQUhARIgARIgARIgASMBWlDwh0ACJEACJEACJEACJEACJEACJEACJBB0Al5ZUDQ2NwW9ARSABEiABEiABNwhIFtOcAxzhxrTkgAJkAAJkAAJkIBnBOS5l5bctKDQQolpSIAESIAESIAESIAESIAESIAESIAE/EqACgq/4mXhJEACJEACJEACJEACJEACJEACJEACWghQQaGFEtOQAAmQAAmQAAmQAAmQAAmQAAmQAAn4lQAVFH7Fy8JJgARIgARIgARIgARIgARIgARIgAS0EKCCQgslpiEBEiABEiABEiABEiABEiABEiABEvArASoo/IqXhZMACZAACZAACZAACZAACZAACZAACWghQAWFFkpMQwIkQAIkQAIkQAIkQAIkQAIkQAIk4FcCVFD4FS8LJwESIAESIAESIAESIAESIAESIAES0EKACgotlJiGBEiABEiABEiABEiABEiABEiABEjArwSooPArXhZOAiRAAiRAAiRAAiRAAiRAAiRAAiSghQAVFFooMc31R6DtUxROjkZU/2gkrngPzQY/IghkXX5sBosmARIgARIgARIgARIgARIgAW8IUEHhDT3m7bIE9KeqsL3hmmjfNZzZtQ1Hv9H7ra2BrMtvjfBLwa2oryhB4dxRQlEUaf43ECPn5qO0oh5tXtfZjsaSGRgklT0oB7Vud7FCPo/ye90AFkACJEACJBBUAj+ifu0DijFKHqs6+J5cgmZv5W6tRMYA1/UMmluJVrfr8XZsdLtCZiABEiABGwI32JzxhARIwEhANywRs6MPobgBGPLo4xjbT+c3MoGsy2+N8HXBklXJrEzBX1ISKT96XKp+A/ni3/rtj2PjKzkYG9lNmUDzsaHxTeQUnoB7eglJKXEQf/isChvKG6x5PRNBs6xMSAIkQAIkEIIEDGdx5O0mtwXT9YpAd7dzKTMIxUhpMWpcDmADkbZwAiKU2TQcezY2aiiYSUiABEhAIwEqKDSCYrLrjED4vcg+2IDsQDQ7kHUFoj3e1mE4h9I0NeWEbcH6hm3InPE/KD38IuLCw2xvdnQm6ti69DXUu5zc2ReiR3PJ8/jdlTtxz4CxSIxuwl4HBYp9Hp6TAAmQAAl0TQIGtFYVo6zFrYFEoAjHqAdHuK04sGHY9gne2u9aMaIbloLk6BttsnV44tHY2GGpTEACJEACbhGggsItXExMAiTgXwLCtLTsBaw/dQ266FQsnj0djyTHiOmc+BiaUFv2Ol4pLMcZeT54aR9W5sXh3cJxpjSahJMmlS8Z69CU3JJIh/4Zr6HEfK6PasHbaeVot9znAQmQAAmQwPVD4Dt89N5J6PskIHPeTKTOjkN/V7pyaUvGiCzUYDgm3t/bC0xinNxbhqrWWCyv3or0KF+Z8Hk6NnrRFGYlARIgARUC9EGhAoWXSIAEgkTA8CUqtp/DoPm7cOLgWmTKyglJnLBIxGWsRcUHazGuj7zlRmz52L8XNa1ueDFtq8G6dcfQO2EM/t2LZuoib8cAL/IzKwmQAAmQQCcm0HoCh776Fdbt3ojstA6UExAv/x8exjGhXNeNnoAxEa40GR0waTuGki2nETE1DSk+U06IOn00NnYgPW+TAAmQQIcEqKDoEBETkAAJBIqAoeEoDt/8JIqW3OvUIiIsMhkFeSnoIwulP4lDH34nn3XwfRm1eWuwF1Px/MJ74cUUsYN6eJsESIAESKDrEhBWDAcu4L7t65CkyQ+S2drC6+0dQtFRvVdYTwzFnMxRTsdJ97lzbHSfGXOQAAn4iwAVFP4iy3JJgATcJKDHnz6/ggnPzESUS81BGMLHJGNKX9mKoh2Xr/y3hroMYoFoA1aWA9PyFgu/FXz8aYDGJCRAAiRAAg4EuiEqLQdztFowSNYWH4vYUzovt3cYTmPLhmM+tp7g2OjQvbxAAiQQVAKcoQcVPysnARKwEpB8PKxFdowGp15hURh+n+ybPByDom62FuPsSJivFqzYD6TmYll8L2epeJ0ESIAESIAEfEjAV9s7JB8RklPOdlwqn4fYAVOw7PUS78Nuc2z0YV+zKBIgAV8QoILCFxQ7XRntaK75PUrXpmNkf2UM7WgkZr+GrTVNYreks4/QtNdXoTh7Cgb1T0Vpk+ytUAq/uAnLJkeb44EPxMi5G1DbZOdC0OjoMF84ihpoTifVWeKYTrV6U92lr+cgURn72zhI/95FGab2GmUelINao8hC3vIV5nKEDCveQ7NNo6X2lKBw7ihEaYhXbmiqxdYSZbsEV6NcVahvsylYpWVO6tLXYtkgZf+Yjx3kOY/SyYMd4rDfkV1rDYNpqTWY/WcRwscHt+L2yJ92UKbVfHX1ingfmsV2UC1vkwAJkAAJXOcE5O0dtyFx5ijPo3cYLmD/TkVobH0D9hbkIT8rCbH9RyFjbaWG+YZ9V3BstCfCcxIggeAToIIi+H0QWAmEguDoikcwIe0ZrP9kMF49fRGNzU04X/sGFiT8DGfKX8LqtClIXvsphDGi9dNWj0rjC/hgxE5djMLyBuvLb1sdSucmIiVrvSLsonBeWP0q0sfPQWmjSUlhaCrHEyMfQPqqN1BzSVZsXBN15iF9xirUunyRb0Xd2mkY+dynwMAnUHGhSch9FtVlTyE+4qwYpJ8RdT2C3CMK5Yoks1GZMRgJor0WmQ2NqJwn5M3ebY4GIWTYlYs1Vd+KQBFC0WDMc5doTx6Kq1usDFSPhHKhZB5Gxz2L49/fhdxPzpt5bsL0wSIMZcFipEyYj9L6VofcHdali0PBOdHOxqNYN76vQ37rhYFIP3gWjad3ITPaSWT1oPefVVrfHP0VjefMv9C+sYjtJ2/3UCvd3nzV5f4RtQJ4jQRIgARIgAQ8IyBv7+g7EY+M8dR6T4xjH+3AVhHhSv3TgprNWU7nG+p5ODaqc+FVEiCBYBOggiLYPRDQ+qUQjiuwcJdQLujGIW/rIsSGm17WwiLH4beFixFvfM8TL+ybn8cb9T+apWsTjgWXYse5b3G5VVYsyLc+RWHaelwcsQrVjZLS4CLq9q9AvBxlQX8C6/Pew2WhnFjw2B6Ezy1WTyfCRT5ffNqJ5YbQ8GcnY+YnI7Fjh1BmxEeanRt2Q//4xXh992pTVAexmrAnYw5yay4L4b5FZdYzOHTlH3aEf8T5LfnYFVWIuubPsa9wBoZIbe7zK0wcdhlbn16D4//1HS7bNdOuEPOppDTJwIw1J/BvuSV4fck4S4ixsMgHseqFmTCqFS4dQf78IjsFzHntdYntDEnLZ2GIuhDWq+F3Y+7sEXB8VQ92/1lF9NlR6xf47Kyk+ApH/OLHEONK50DzVZ9hZ0EkQAIkQALuEJC3d+jQ9+GxiHY1VrksVvheis/DJ2JBybQ48yKW5y5DZoLd4oU035iaiCcqGp3MpxSVcGxUwOAhCZBAKBGggiKUesPfshhDONaZLB/CeqDHTXYjZcQITBwdbpbir7jwX7INRTjiCo+iqug1VJQ/YXrpNqa6gDc3foJhRVtRkCGH2BKDaEwaCpbeb3lR1n9cgJTnv0LKm7vs0mXg9c1zzeXp0fL2UTQ47IawavgTF82yKFSUqMIiH0Lm1Ejzpa+x99ky1BtuQdKWd1CyoshW5vb3seOP47HeGCUiAjGpeaiSrDFOvCY8cf+HsEQ4ipLCLThYNM4iv7Iu67EkVxGe2lwPDPsN1qYNcogIEXbn3bhXDk9+aT9e2dtozQ7J6kFrXYpsLg/DcFOPHg5ySC/xwes/lwJ7eFOe8InsfafjycRbXJRD81UXcHiLBEiABEjArwTk7R2RmDR+sMr47Enl0uLMr5GekYnsLceEBWwZlqdGK+YsLTiybCW2mq1X1Wvg2KjOhVdJgARCgQAVFKHQC4GS4Z8/4MrfXJkG3IgeEfIbtXpkBJuXbgzAYyuXYKxDiK0wRNw/AaPkpXx9fzz2/DKVdEBYvwEYKKf7rhFN9ts8hMfqN57dh0vd7sEDo5yZRurQo+fPrBRb6lD3jbWdNnXoYjEnZ7LF0sGaSXkklCy/iEJv5SX7Y1ku8fI/auYk9agTul/i7pGywqcdFy782botxlKehrosab0/CHj/eS+yYwmWfbi3YdqqNBfWE1bllilqh51CzrFkXiEBEiABEiAB3xGwbO+Ix7hoDQ6gPag5LDIO6YVv4XDJ4yaLUKkMyXp16ZtodFj0kW5ybJQo8EMCJBC6BKigCN2+8b1kumhMmxMjtOzdMWROImJkxYDva4JYykeElvdBZTp9G6788E8baQwNR/Fui1A2tJcjXekY08a550AkrDmpyPcnXGz6u/VcWUdYP0T1k5Uw1iT2R2HhPdHD/qLi3CIXbsaAX8hKCEUC46Gw4igqxDRpu4tuBBZn3qtY4bCm7agua8oAHimZuapWmU6l/1xl9eye5MX8Jaw/1Y4+HUXjoPmqZ4iZiwRIgARIwAcEZGs/b7d3aBFFWFWMW4ltxTPQx5xcf2ofKhrkrbqKMjg2KmDwkARIIBQJ3BCKQlEmfxGIQGxOJc7l2JcvRbnYh/cP78WG8kv2N4N4rsefPq+D0U1lNxEx5MxaxPlTqaK5pT+i4YMak1z4GXqGuxAqfBwKTpxHgeaymdAlATGxWrfuQ7GtRvhEyR/nIhqH1Xy1lFE7XCLlTRIgARIgAX8Q8Mf2DldySn4qFmN16nGkl38tEn6D45+LGVTMQEUmjo0KGDwkARIIUQK0oAjRjgmIWJaQn9GY8PIZ4J5FyEuVde8BkaCDSvS4euX7DtIE4/b/oq31h2BU3Mnq1KO5JNUh/GmUjfWLCJ3qEDbVSTMN51CaloW9SMHmsjT1bTXGrDRfdUKQl0mABEiABAJFIADbOxyb0gtxOSK6mXHdxH5rKcdGR168QgIkEIoEqKAIxV7xu0wiNGb5CiQOisf8qmsYv/lTnDu4FpnJMS63NfhdLIcKFIqAduHIUtrqEXIfu+0kISdfVxFIRExZvwLrvx2DdbufRZw5+oxq64z+QfYDHW0BUc3MiyRAAiRAAiTgLYFAbu+wkzXiTtwzWGUrK8dGO1A8JQESCFUC3OIRqj3jJ7kMTe/h2aeXYU8DMGT+LpzIudeFmbyfhPCo2Av47NRlpEe6itjgUcFeZmrFpydFOK/4WB955/ZSnC6ZXWxBqngeT5UCaXueF9FWVCZeinbrPyrH9pZ24bZkHmLLFTdcHRp9nMiJ+2Ba2SEUxDvzLeKqIN4jARIgARIggUBv71ASvxlRg8T41dCGAQN+bvF9xbFRyYjHJEACoUyAFhSh3Du+lq3tUxQZlRPXoBOhMYuMoTZ9XYkvy/spIgfcai6wDcd2vuvEI7VtnYb6Pdhar+IYyjaZF2f/D+ERN5nzOwuPal+8WE2peA1bm0LRCsReVl+d69A/o1zEbJfitrv4dzAD/Z1WKUxS6zZhUe6fMWVPCbJjI5ym5A0SIAESIAESCAkCQdneIbf8R1xtbRcn/XDfXX3li/wmARIggU5DgBYUnaarvBVUvCBXb0VZwzVRUDcMmjjGxR5+b+vyVX4dbr0rFn1x0uiQUn/qNeSUjcJbGYNcWCtcxsd7v8LPsn7iKyFUyvkJ+t1+m1iVOG8KG9qyE2vKpriWSwqNWQ3EJrpwqKlS0/V9SVJOvIzHp1ehT8E2ZGlUTuji1+LL5rUdo2sqQWJcHoT3FfEnEUpOWDsWnSlIgARIgARClUAQt3dISAx/wcWv/i4WolKQrAhtyrExVH8vlIsESMCeAC0o7Il02fNraPjsjOmFuhO1MSx6LCb1lV/qr6F+TQYWVIgtFaptkF5od2DT34ZgjKYYp6qFaLgYhoj7J2CULBaEXIUrUFTX6iSvkOujnTh8232I1hJ6Va2UmyLQS67v/EWoG2IY8MPVq07YqBUaytdslRObkqNcKKVEO9qOIDe7Cs56IJRbStlIgARIgAS6EoFgbu9oR2PZepS13ILEhYmdYCGqK/U720ICJOArAlRQ+IpkpyqnHedOfOHwMmdoOo6j5/5ubolBRNC4FvyX3bA7kDw71rKHEsKW4kjWVCRnl6C2STJhNH/a6lH5+gqx2v42bp8+Ck43Ahiu4uoP6uoNuShN3xEPYln2CKtc+noUT0/DspJaNCuKNzTVYqsk15MXMSHlDtcv2a4qDr8NA3qbNRTtp3HyC/stLMJPw5E8LNlw2lJK+/E/4AuFLJYbIX/gjnJCCpG7ARkTcvHXe+523u8h32YKSAIkQAIk0CUIBG17hzR2bkJW4ZcYND8fy+J7dQmcbAQJkMD1R4AKiuumz7sj+p4hlhdqffXzmLviPdPLtBRutCQHyY+Vw9DrZ2Yienx3/mu0QXrxLUJh1bem6z9cRavlpfd7XGnT4lPBm3TdEJW2Gnnjlfsor+FMeR7S4wZbQ1gOTcLSgv24HPcknhhjNygrZdZ/jYvf/E+HvW5ou4KrcipViwVJruewZFh3ORWgb8DeNWlIiBKhM82hNAfGpWF1wSFgzlNIiVJ37thxXaKKsMEY93Ckua7zKHtuHY7KChpJObP2KSza+0ssfy7OqgRp2YKF815E4dwkLKtpM+VVsoA3/WJttvVIa3nWHI5HsnJiI87oJWXUWAy0D0tqcz4YCWmvoqZ1KCbe39uxOF4hARIgARIggYAR8HB7R1sdSueOMs4dBk1+wTq+y3K3ViJjgHluMSIdhRX1Yn5m/UiLIaXZSRiRvB1IL8a2TuMA3doGHpEACZCATIAKCplEl/8W2xISf6t4oRYv+bsWmF6mox7AyhO347l3SrD0wcEKJUYW7u5/Nxadug/zEqXoGSLUY+nvccyik2jCgc3v2FgMmDCKdC+9hiqLgYNIt3En6tssmg0zbY3pwqKQtHkHih+Ntsjm2F069Bm/Gjs3p6K/chuFUL4cLdquQWZFiYZGY7ta5Evtx/HWQZVtJWGDkF62FcsTlMoTOZP83V1ES3ExWdBaF25EdOpcjOtjsqLQN2xDpqygGTobO75PxMui7ZHKthtFuAE9H3xGrKQIj97B6j8ZRYffkjJstbCCkZQTHSa2SaAbPcHP23psqhN7fMXvquQdnJMvi9/Irm11NhNG+Ra/SYAESIAErhcCnm3v0J8qx4Zq06xDGt+fFuHfbYbBsO6IiDBbUV6qRnFWEmIVynppMST/416YV3YAFVROXC8/NraTBLosgX/5P/Fxt3XS6rD0kTzz89PJCIjV9r15z+OZ8gbT4NcnAZlLF2Becowp3KiI9FE4KxPFwpmmLjoVSxY9gTnxffGnkplIWHPSaWO7pZbhdGEM/jN7ItLLLzlNh+gVqD74OKCpvDg7hYRkzr8P7x/eiw2y/CJFn4Q5SJ85HbPiI63WA6J1zR3U4egYsQ21LuV3Fn5Skqsc5TtLUGyeYEC49oyfPwsTxychKUZtw4lndRm3jGx+GevN7bf2kant+pocDM08h4ezpuGBB1IQZwzJ2TGLwPSf85+F8Y7SaWUHSW1vhyO+6F2UJLsZglZZn1Ynmco8tkJYz7SWZc3BowAT4BgWYOCsjgSuFwKSpcOILNT0fgL7PspBjMOigRMQkgVF1iLkizmELvpxbHwlB2PtQmrbj/+mkqS5xq9x3/DxdnMgJ/Vouawc5zieaSHGNCRAAhoIuDP3ooJCA1AmIQESIAES6DoE3Bkku06r2RISIAESIAESIAESCA4Bd+Ze3OIRnD5irSRAAiRAAiRAAiRAAiRAAiRAAiRAAgoCVFAoYPCQBEiABEiABEiABEiABEiABEiABEggOASooAgOd9ZKAiRAAiRAAiRAAiRAAiRAAiRAAiSgIEAFhQIGD0mABEiABEiABEiABEiABEiABEiABIJDgAqK4HBnrSRAAiRAAiRAAiRAAiRAAiRAAiRAAgoCVFAoYPCQBEiABEiABEiABEiABEiABEiABEggOASooAgOd9ZKAiRAAiRAAiRAAiRAAiRAAiRAAiSgIEAFhQIGD0mABEiABEiABEiABEiABEiABEiABIJDgAqK4HBnrSRAAiRAAiRAAiRAAiRAAiRAAiRAAgoCVFAoYPCQBEiABEiABEiABEiABEiABEiABEggOARu8KbaqP6R3mRnXhIgARIgARIIGgGOYUFDz4pJgARIgARIgARIQJUALShUsfAiCZAACZAACZAACZAACZAACZAACZBAIAl4ZUHR2NwUSFlZFwmQAAmQAAl4TUC2nOAY5jVKFkACJEACJEACJEACHRKQ514dJhQJaEGhhRLTkAAJkAAJkAAJkAAJkAAJkAAJkAAJ+JUAFRR+xcvCSYAESIAESIAESIAESIAESIAESIAEtBCggkILJaYhARIgARIgARIgARIgARIgARIgARLwKwEqKPyKl4WTAAmQAAmQAAmQAAmQAAmQAAmQAAloIUAFhRZKTEMCJEACJEACJEACJEACJEACJEACJOBXAlRQ+BUvCycBEiABEiABEiABEiABEiABEiABEtBCgAoKLZSYhgRIgARIgARIgARIgARIgARIgARIwK8EqKDwK14WTgIkQMLrvTUAAC5ZSURBVAIkQAIkQAIkQAIkQAIkQAIkoIUAFRRaKDENCZAACZAACZAACZAACZAACZAACZCAXwlQQeFXvCycBEiABEiABEiABEiABEiABEiABEhACwEqKLRQYhoS8CeBtk9RODkaUf2jkbjiPTQb/FkZyyYBEiABEiABEiABEiABEiCB0CRwQ2iKRalI4PohoD9Vhe0N14wNPrNrG45mjEN6pO76AeC0pa2or6jEkfd2oLi6xZxKhz4JczDnwQlISY5BuNO8yhvtaK7Zh/cP78WG8gbojbfcLedH1K+dipTN55UFd3wcvQLVBzPQv+OUTEECJEACJNDpCARxbGitRMaILNSYBjVVcrqEInyyJQkRqnfFxbZ6VO49jENbtqLmklxQdwxJzcBD9/zKjXHWWQW8TgIkQALuE6AFhfvMmIMEfEpANywRs6O7izLFpODRxzG2H5UTMFqVxCElK0+hnJCw63Gp+g3kZyVhxOQXcLSp3XVfGBpROW8cEtKeQaFFOaEs5xFMmlfesdWK4SyOvN3kui6Vu7peEaJX+SEBEiABEuiSBII2NgjFSGmxS+UEMBBpCyc4UU4Ixf2RF5A4PAkr3m7DPXnv43xzExqlf6e3Y1bEH7E1S4yPc0tQ30azzi7522WjSCCECVBBEcKdQ9HcJSAG7A2bUCsvAribPVjpw+9F9sEGMTFoQFXeg+gfFixBQqRewzmUpmWi2GxV4kwqfcM2ZM5YhVqnk6fLqF0+Fysu3YfsokrUWSZflVg3PwF9jAULhccHq7Gk7BycT8EMaK0qRlmLuz+scIx6cISTyaGzVvE6CZAACZBA5yAQxLGh7RO8td+10lw3LAXJ0TeqoDSgrWYVZmZsw7nBC7FzRx7S4yNhmXqExyApZyN25MaitToPM9LK0Oh8gFQpn5dIgARIwDsC3OLhHT/mDiUCrYfxu7Jv8OjCUBKKsrhHoB2NZS9g/alr0EWnYvHs6XhE3sphaEJt2et4pbAcZ2RdwaV9WJkXh3cLx9lt95AmYK/ilbYncXh/qq3Sxzz5Gnb7UszMegeXcA31hS/hQNJmJEVYpmgKsb/DR++dhL5PAjLnzUTq7Djb8hQpjYey2S2GY+L9ve3v8pwESIAESKBLEAjW2CDGyb1lqGqNxfLqrUiP6uYeTcNpvPHsPjH2hSN+9gzEhquNe90QlbYEadtnoPjU71BQNQklybe4Vw9TkwAJkICHBGhB4SE4Zgs1AmLArtyLY/KLa6iJR3m0ETB8iYrt5zBo/i6cOLgWmbJyQsodFom4jLWo+GAtxvWRt8EIC4j9e1HTare8I03ANgJPFyY7USZ0Q//k5chKMHux0J/BH/5o8gPiIGjrCRz66ldYt3sjstM6UE4IO4zWDw8bf4e60RMwRlXh4VADL5AACZAACXQ2AsEaG9qOoWTLaURMTUOKu8oJwVj/UTm2Gy0CB+CeYb2cUw/rjp49JeVFG469dwKtzlPyDgmQAAn4lAAVFD7FycKCRcDQ+CZyCk+YHSAGSwrW6y0BQ8NRHL75SRQtudfOIsJaclhkMgryUsxbNMR1/Ukc+vA7awLpKCwa88qWI051ZUhO2gvDRgwwn9yEnj3+n3xD8S0UXwcu4L7t65AUqWWVyryiJqTn9g4FRh6SAAmQQJciEKyxQSjBq/cK64mhmJM5yuk46Ry1Hn9ubILJe9P3uNKmbVVHf7lV2BryQwIkQAKBIUAFRWA4sxZ/EhAOFYsWv4Z6beOsPyVh2V4R0ONPn1/BhGdmIkrN4tRSdhjCxyRjSl/ZiqIdl6/8t+Wu6UCH8HC1vbd2yeTTPrEYHvkT+UzxLZm55mCO1lUqaUXt4zZAx+0dCog8JAESIIEuRiBIY4OwDtyy4ZjH1hPAv6J7z3CYRs8mHNj9ibCPcPIxXMOVK5J1og59Rw7DrU6S8TIJkAAJ+JoAFRS+JsryAkrA0PQecmd17FAxoEKxMg8J6NBfbOHIjtGgWAiLwvD75MBp4RgUdbMHdepx9cr3Il93xMydhdEurS20FM/tHVooMQ0JkAAJXF8EfDU2iHKMDpvbcal8HmIHTMGy10tQWlHvXMngAFoo+H8RBZN3JLFFsnwNCmouO6SSLkgWje9KW0F0sXgs5Q6rE03V1LxIAiRAAr4jQAWF71h2kpJEaKma36M4ewoGDcqxRrwwOiDMFzG1ByKqf6T4NwoZ6490HH5R7Llvq69C6es5SBwg5TP/Mw6cv0et0zCQraivKEHh3FGImlyCZiM9SbYdpmvmcgZNzkGx6uAr8pfMw+i4BdijjPbQXo50pRwPTEHiIIVcsnyWOuVuO4/SyYOt8pvT3ZFdq7JtxNcM1VgIufS1WOZz2U39Zez//qkobZLNTiQZNmHZ5Ggzg4EYOXeDY/85/E6ikZhd4phOxhqQ71txe+RP3a/JGB7uG/RJLUJpxiAfTL7k7R23IXHmKEbvcL9HmIMESIAEuiABH40NhgvYv1OxlVXfgL0Fecaw27HSnG1tpaaQoGHRU/DYMDkA9tfYm5mJwjo7DxOSZepzO9EiKfCzn9NuRdgFe49NIgESCDwBKigCzzw4NbbVo9KoRBiMhLRnUFjeYHnxNjSV44mRDyB91RuouSS/sLagZuMCzFx+xIVmvhV1a6dh5HOfinDbT6DighRD+yyqy55CfMRZMXA+g/TxjyD3SJM5hKNZmbE2HSP734WUrDwUV7eYeIgX36MrHsGEtOes18QdfUM5CqVY3PPK7ZQlEYjJeAOfSKEjL5RhmuweoJt46TbKYY7n/f4BVJ0Tx41HsW58XxfsByL94FkR/3sXMqPlgdsuuY8ZGppqsdXYJ3Ys5Gp1cSjwpewlkgJqMGKnLrbpf7TVoXRuouiP9dhrUfaIlZXqV0X/zUFpo2m3qvrv5BrOlIsQZS7DfcoN8uX3X9F4zmyY2jcWsf3k7R5a6xC/3fUv4w+ji7Az3z4CiNYy7NLJ2zv6TsQjY1w4HrPLxlMSIAESIIEuTMAnY4OYP320A1tFhCv1j5izbc5CyoT5KK23UzbYZwgbhDnrfoMYedjU16M4ORFPVDSa5mqGRlRmZ4tQ3z9DfO5WHynw7YXgOQmQAAk4J0AFhXM2XejOt6jMego7Lvxo16Z/4OrnRUh+7AP8YulbqJNe9iUFQ8njGGIcuCTzv/V4o94+n1TMZdRmJ2PmJyOxwyaGtoiOEL8Yr+9ebYq0IDT8ezLmIFcyIdR/jIIZi5G/uVqEt1J+/oaT63Pw4nf3Y3OtUBJIcpyuREFqtHmfpJDjg5UdKEuU5akciy0BSctnYYjKLZtL4Xdj7uwR5nqVd3zN8Dy2Pr0Gx//rO1yWdULK6pTHXsvehtq8pdhx7ltcbrWrTKySFKatx8URq1AtHGc1Nl9E3f4ViJejZOhPYH3ee7gslFgLHtuD8LnF6ulEuM/ni0+bFVFK4f103PoFPjsrKU5EmLTFjyHGpc8KOxmMyrA0zNz/E9w3djBudSevXVHWU9mEV+zVfXgson1SprV0HpEACZAACXRGAr4aG8TWjPg806KMcSHoRSzPXYbMBLuFl0tHkD9VoWxwgiwsKg2lexaa53pSohYcyZqK5OwNKJz3OJY2DMby/VUoyYj1wBGnk0p5mQRIgAQ0EqCCQiOozp3sFiRtOYaqotdQUf4ELMNZeyVW5APPvFOMbEs4R6FgGLcUz6UPNDe5Ce9+cNbuxVNo8ms2YGU5kLholmoM7bDIh5A5NdJchjAhfLYM9f9qtggQg+sHuQolQMNu7MRiHNiyGHFypITwGEwrLMPO+TFWJcX+Muwzr+b7rz/CcFOPHirm/r5mKFlsHEVJ4RYcLBqnohDxpIXOZA9HXOFRx/7HBby58RMMK9qKgow4czhOMQmKSUPB0vstMuk/LkDK818h5c1dduky8Prmuebfkx4tbx9Fg120T09a0XEeecInUvadjicTNcZmlyxgJCsSYS2UuUtYEF2qxqa0BzB6bokms1jXcskmvJGYNH6wyu/HdW7eJQESIAES6IoE/DE2SAtBv0Z6RiayxdzufG0ZllsWdCSGQtmwbCW2upwvibE+dhG22SgpJIvIV4UV679h+e5NSI+R/Tx1xX5hm0iABEKZABUUodw7fpAtLLwnesjl6sYhb+siFQXDjbhz+FCYdk3o8d35r223eQgv0m88uw+Xut2DB0Y5M2XXoUfPn8k1ifGyDnXfyKv33dAvqp/1Ja7vTDynGlYyArFLcpEmR2vQ1+HNfV/aKUusVQTqyCcMLcIqHVZZLvrtIOzOu3GvvB0GA/DYyiUYKyuFLLWGIeL+CRhlMf/sj8eeX6aSTkTz7DcAA+V03zWiqS0AGgrLPtzbMG1VmibrCX1NDu4YmoSla5TbmKQGS1tZ8jBj1suo80Z2iwlvPMZFa3DyaWHNAxIgARIggS5LIABjQ1hkHNIL38Jhi/WroClZPy59E40uh2Q1JYXUEyeRP2NBx1tFumynsWEkQALBJkAFRbB7IND1970dg+QX1LAe6HFTx7bo9vGvLZ6d7R1Syg4ojd8DkbDmpKJ1f8LFpr8rzhWHPYXSxJkYYYMx7mHZEiOQq/QK+ewPfcBQWaSNwkN5I5jHN/VAhLM+UcqlTKdvw5Uf/qm864djyYv5S1h/ql04t8zFsnhnCjLbqnXxa/GltHWosQalz86zbmExJ9M3FOO3Hm9RkS06uL3DljrPSIAESOB6JhDIsUGyfl2JbcUz0MeMXH9qHyoa1LboWvvE0PQ+1r3we1wenWa7XUTaKpKapvAhZs3DIxIgARLwNwEqKPxNuMuVr8efPq8TBoTiY++Q0ujDQvJjoPbvUxTEh3tA40ZEj4+3bkv52xW0+fsd2AMpmSVABNpqsG7dh8Aw4VPDE+eWYZGIS1uOkhOfYl/uOMtETrKkaCktxoFWl8tNThrpDxNeJ1XxMgmQAAmQQCchEOixQVhECB9gq1NvM/P5Bsc/NzsidyAmturWCR9k4xfhwz7LsfONZ8R2kSqUW7bVigxGH2KzsEB2nulQBi+QAAmQgH8IUEHhH65duFQ9rl75PqDts9lG0C6UH1Jcbn46AQE9mktSHUK3WkLRyhY3DiFfnTTNcA6laVnYixRsLktDlBYLDydFQQQBjcl4FTuUvlD0X+PiN//jNIfTGwEw4XVaN2+QAAmQAAmEJoGgjA29EJcjIqkZt16248KFP1sitlkhScqJl/H49I04E5GC1YXJZh9UYlttzi4cLnpIobzX4s/CWjKPSIAESMAXBKig8AXF66qM/0Vb6w+mFgdKWaDcRnBdsWZjrQSksKArsP7bMVi3+1nEhXulnTAX2w1RSdOsvjbwA65c/V9rlZqOAmnCq0kgJiIBEiABEgg6gSCODRF34p7B8l5eFRDCErFgQTHO6EUUrKUL7cZTsVUkeR12uu3PQqUeXiIBEiABDwlQQeEhOGaTCFzAZ6dE+NBAfrpFIkp2mhnIellXEAm0o7nieTxVCqRteh5JDk49vRAtIh6PTpV37HpSTqBNeD2RkXlIgARIgAQCSyCYY8PNiBokbanthgEDfm6JyGVqv1CcVO9F1SXJEnUA7hmm5sdJ8meRg5cLrJYU+lNHUGtxdB5YkqyNBEjg+iNww/XXZLbYOwI/ReSAW0URl8S/Nhzb+S4aEzM6NLc31O/BDkzGnBgvIxwMvB2RctQI7xrC3H4noEP/jHI0ZnhTkWSKugmLcv+MKXtKkB3r67Bnit+zbgju/o/u7glrMeGdzugd7pFjahIgARLougSCOjb8iKut7YJtP9x3lyWwvJm1rDgRpy4XfCRLimex+rMzSC//WiQ2OzqP9MSXmLlqfpEACZCARgK0oNAIislkAjrcelesxWml/tRryCk710Hoz8v4eO9X+Fm/n8iFuPfdchHnpLFWrAP0HTkMknqEn+uBgLxPtgp91qxDls+VE7YMdUOG4z/c2joSRBNeW9F5RgIkQAIkEDIEgjw2GP6Ci1/9HbphKUh2CHv937hy2Tih0kCrF0bPmGiZ72nIwCQkQAIk4BMCVFD4BOP1VUhY9FhMsmyzuIb6NRkuvDxLL5k7sOlvQzBGU9xKe5ZioD91Eueky7pYPJZyBzz2PnBTBHrJ1hfnL6JJ1demAT9cvdqBwsVexgCcd2bZPcKjUE4UbMOm5CjX/d52BLnZVWh1uy7Z6ettSFyY2KElkG3x8kpUJCaNH+xaPtuMPCMBEiABEuiyBII5NrSjsWw9ylpucTKm9UXsyH4m8oaruPqD68hV1jDot+L2yJ922R5jw0iABEKLABUUodUfnUOasDuQPDtWsa9ReHnOmork7BLUNik08231qHx9hfAU/TZunz5KxE1w8jl7EqechneUB3od+kxNQ0qUC8dPUvGuBtzw2zCgt1lD0X4aJ7+wjw8ufB0cycOSDactgrYf/wO+cD1+W9L69aAzy+42GHeUE6LPajYgY0Iu/nrP3c5/Y85kaPsEb+3/Bn3GP4knxqjtxXWWUVy3mPDGc3uHC0y8RQIkQALXFYGgjQ3S2LkJWYVfYtD8fCyLVxvTFKHb9Sdx6MPvXHSNdYFIlzAdU7m/1gUr3iIBEvAlASoofEmzM5Rl2S4hhHX1Mq9sy5UruGrzki6iH6StRt545d7GazhTnof0uMHWsJJDk7C0YD8ux3Xw8qc/gV2VF1SsFsRgW7MRRdVt0EVn4tUV8VDd/aj7OW4faFZciLJ2lP5BeMcQzWt6D7lJi1EpKz/CBmPcw5Hmlp1H2XPrcFRWqEjKlLVPYdHeX2L5c3HW1fCWLVg470UUzk3CshqpVPHxCUNTUdL/hjbBVz51ZtnhK9l/uAoZB/A9rrSpmpHI0pi/fZ3OrnibU1k5IcKf6SXF11gMlMORqn4PRkLaq6hpHYqJ9/e2lGRoLEHKAOFQdcAULCuvN/4eLDflA0MjKrNXoermdLxqCbMm3+zoO8gmvB2Jx/skQAIkQAJBIODh2NBWh9K5o4zzp0GTX7DOTeQWtFYiQxrTpHFwRDoKK2zHNUNTLUqzkzAieTuQXoxtOfeqz5dEeWEx6XhpfoxYZGpDzbp8VMrzILku+VtE+1i37kPo+zyEvJUPur8AIJfDbxIgARJwkwAVFG4C69zJRajG8kOm7RJSQxQv8zbtEi9ub+85DostRMs7KK5qtFUghEUhafMOFD8arbCksClFnAirh/GrsXNzqjnGtv1983mvn+IvhanCAmMP6tvMmhBDE2rXZ2JS2m60Ri/Ezh2LEOvUP0A/xD081CyHUJRsfhSxYhAfGJeP1pkLMcWytUSsHKTOxbg+JisKfcM2ZMoKlaGzseP7RLwsZI102ENyA3o++IxYjZDUIz5kKDVfsD6w+R20mFGg/TjeOmjH2njPR7KX/h7HLDqJJmPdzTbKJ6ky0caXXkOV5Qcg0m3cae0bWVbN6SwZOjiQLFhWm2KzW2TsIIv5tm70BMUWIqHkOH0SX0hl6BuwV5q0Tc5BaU2T+Tcs7tdXonDechwa+CwO789y8dtyVr9s2cPtHc4I8ToJkAAJXH8EPBsb9KfKsaHaNBOQ5iZPb/4UNsNgWHdERJgtQC9VozgryTjPMSosjPOdNOR/3Avzyg6gwoVywtQfEYjNKcFOSUlx6R0sHf8IlpXUwjoXaEV9xVphmbhAKPBnonj3Ot9Gz7r+fhRsMQmQgJsE/uX/xMfNPEYNrpSnsbnJ3axMHxQCejSXzETCmpNOau+GIbkHUJVxM2qzJwqPzVKEDrVPH0wrO4QC44u6fF8ysd+H9w/vxYbyBvOAKhQTCXOQPnM6ZsVHWq0R5CziW1+Tg6Fp5SYlSPQKfPDK7ajd/DLWW8oQ6o3oVCyePR2PJMc4XQmwFikG1PIivJC7W6y8S/XPRdbCdCTFOG4skVYatirqkupZsugJzDHLapQt8xwezpqGBx5IQZwxrKWvGcID1pJViD9kF868U8twujAG/+my/wVt0VfVBx8HXP6e5PLiXCivrD1nOWoqQWJcHs5YLmg9ELHci95FSfItigzSBKsUv1u3BTXGcGryre4YkpqBh0QkmthpDyPGqdJLTu/kW1rNGpGFmt5PYN9HOYhxUGo5ycfLIUFAmtRLH45hIdEdFIIEug4BT8cGyYIiaxHyhZJCF/04Nr6Sg7F2IbXtx38TtL6In/9r3Dd8vNP5liu4Upk73j+MA0XlYu4kpzTN4eY8OAEpmuZfcj5+kwAJkIBzAu7MvaigcM6Rd/xIwF5BUX0wA/39WB+LJgESIAGZgDuDpJyH3yRAAiRAAiRAAiRAAp4RcGfuxS0enjFmLhIgARIgARIgARIgARIgARIgARIgAR8SoILChzBZFAmQAAmQAAmQAAmQAAmQAAmQAAmQgGcEqKDwjBtzkQAJkAAJkAAJkAAJkAAJkAAJkAAJ+JAAFRQ+hMmiSIAESIAESIAESIAESIAESIAESIAEPCNABYVn3JiLBEiABEiABEiABEiABEiABEiABEjAhwSooPAhTBalkUDbp9jw8iFTiFEpS8MOrCmpQ5vG7ExGAiRAAiRAAiRAAiRAAiRAAiTQ9QhQQdH1+jR0W9RUgsT+kYga+iiKG64p5GxBzZoUxIp7d2TXwhKKW5GChyRAAiRAAiRAAiRAAiRAAiRAAl2bwA1du3lsXUgRiMxAVXNGSIlEYUiABEiABEiABEiABEiABEiABEKDAC0oQqMfKAUJkAAJkAAJkAAJkAAJkAAJkAAJXNcEqKC4rrufjScBEiABEiABEiABEiABEiABEiCB0CDg1RaPKOEzgB8SIAESIAES6IwEOIZ1xl6jzCRAAiRAAiRAAl2ZAC0ounLvsm0kQAIkQAIkQAIkQAIkQAIkQAIk0EkIeGVB0djc1EmaSTFJgARIgARIwERAtpzgGMZfBAmQAAmQAAmQAAn4n4A899JSEy0otFBiGhIgARIgARIgARIgARIgARIgARIgAb8SoILCr3hZOAmQAAmQAAmQAAmQAAmQAAmQAAmQgBYCVFBoocQ0JEACJEACJEACJEACJEACJEACJEACfiVABYVf8bJwEiABEiABEiABEiABEiABEiABEiABLQSooNBCiWlIgARIgARIgARIgARIgARIgARIgAT8SoAKCr/iZeEkQAIkQAIkQAIkQAIkQAIkQAIkQAJaCFBBoYUS05AACZAACZAACZAACZAACZAACZAACfiVABUUfsXLwkmABEiABEiABEiABEiABEiABEiABLQQoIJCCyWmIQESIAESIAESIAESIAESIAESIAES8CsBKij8ipeFkwAJkAAJkAAJkAAJkAAJkAAJkAAJaCFABYUWSl0qTTuaa3agcO4oRA3KQa0+mI1rRX1FiTZZ2j5F4eRoRPWPRuKK99BsCKbcrJsESIAESIAESIAESIAESIAESMDXBG7wdYEsL0QJtNWjcs8e7CgqxxlZKdEtOLIammqx4/3DOOCGLPpTVdjecM0o8Jld23A0YxzSI3XBaUCnqLUdjSVzMGnNCei7paL0zFrEEVen6DkKSQIkQAIk0FkI/Ij6tVORsvm8ewJHr0D1wQz0dy+XIrUBbfVv463dW7GhvAHGaZ0uGtOyF+GJtDj0D1MkdTgMlswOgvACCZAACagSoAWFKpaudrENtXlLsePCjyHQsG9xYHURjl/5h1uy6IYlYnZ0d5GnO4Y8+jjG9uPbtiuAhsY3kVMolBOuEvEeCZAACZAACZCA5wQMZ3Hk7Sa38+t6RYjZjKcfYX1aMh+TpmZjR+tD2H36IhqbL6KufAbw9tNIGPkbVDa1Oy88KDI7F4d3SIAESMCeAC0o7Il0yfNwxBUeRZxom+HXfRE/9XW0BK2dtyBpyztIggGtv7yGkVlHtL1Eh9+L7IMNyA6a3J2oYsM5bF36Gur/f3v3AhzVdd9x/JeRNWXIFAtUB9rKMbIsBZpY4REcEkqwxMOPxBgDxrQazEsyTJM6MJiHRYhdF2SeJo5JQRYRNQkBL5iXnw0gxXYBO0SIgjtgQJUSKykuFsgwyWi6VdJzd/dql6u72odWK5C+O4O0e++55/7PZ5e5V/89D7ITN9CbRqgIIIAAAjeWgLmP2Vuq8vpYL7ZpGnn/cKXH1dgGVa0qUsHGamlIsV5/sUhZgd4SaYOnasX6qzp/b4kWmlyFtq/RxExnV9nOiDmuhnIQAgh0YwESFN3szU/5fLZyTOeDmK+nCXdKUfqQYRqgAzqV8Lq7c4XWzcdzWnvcPxymO0vQdgQQQAABBDpO4GO9/cYxefuN1pzHCjRleoShFQ27VTR8gSo0TPfd3TeOsMywjop1etwkJ7zK0ZxlBS3JCbuylKwCLS3cZYacvKbiBbn68s5gAsNfJtkx25HxGwEEEIhegCEe0Vt1jZK9eiu9zbGJXaOZ3bYVjRVas+Zd9R09Sn/TbRFoOAIIIIAAAh0s0PCe3vzwb7Vm+wYtijjvg/ny4Bdv6V3T2SL1G/dqVDw3Ys0n9OL3d+mC1ayMfI3N7enSwJ7KHZevDLPHe/wFLS4/Y/qrhjySHXPIqXmKAAIIRCtAgiJaKcohcN0LXDRzjazQTj2kp7/zNZGHuu7fMAJEAAEEELghBcxE1PvO6esvuQ2jcGtQoOeC4h3eETo0I1UZD4xRbpiLfMqX7tLXfCM7rqr6pX062ZKhSHbMbg5sQwABBCILkKCIbEQJBG4AAavr53p9zyM9XDJfeWn8174B3jRCRAABBBC4IQV6KGvWYs3Mcs7xEKYxVs+FdxpN94l4h3fYCQ6r/s8q546/DP8lROoXdNeINH8g9Tv0L3t/Fwgq2TEHTssvBBBAIEYB/oqJEYziCFyXAmZox8riPdKUpVqSf8t1GSJBIYAAAggg0P0EEjC8w05w+PA+p+zbAwkIV8ye6p1uJ05+r7Pn//vaYR6uxzg3JiBmZ5W8RgABBKIUIEERJVSXL9Zcq8qyxZqQnams/uZf9oNaUlapupaugeEErLW492rzppBj7eM3/VSVbS11Fa5K1+1mWa1XyrR69khljS9TnV3GW6klAwIxW+e1/4WW8ZU9q83jBwb3B8p9cVGlyyoi/jaVLnpQA/pP0eZae4ZuK4Yfacn43EA9ORoxe33rNlqW5c+aybByAuVyNWFRWetydhva/Ts4tGN5cb7pQMoDAQQQQAABBK4PAbv3w22aUDAyrtU7vP/xvo7YtyK6WX3S2lpq/bPKzL410HSv6g8f10cxQ7Q/5phPyQEIIIBAQIAEBR8FNdd6NHfEPSpc4dEp+wLoPamdK+ao4MkDMp0Swzys5a4e1oinjko5c/XKuVqzFvdpHSp/XPnpp7Vz5TIVjntESw/UxpG995+yubZSW3zJj69o8oISlR5yLJCamqeVZ8x5aw5qzThrWqhwjxwV7j+tmhM/05zcMKuPN1Zrd5mVWBiooQ/N12rPyWDyorFKm2dPMDGs1c6T9goZXl049EPTxpnaXONfc7zF8pkXVXHBxryqU54SFf7dM6psjJjxCdeAMNudQzvCDEoNczSbEUAAAQQQQKADBezeDxn36ZFR8fRw9Oq3NbXy32WYOHuYL2My2kpQONpy9rxavmdx7Ar7st0xh62ZHQgggEBEARIUEYm6coH/0+VfrdOkaT/X7QtfVlVdIMFQNkN3+q595g9wz1q9WP0HFwTzrf2iSSo4PEJbt5o/vvMzA+Mhe6h//nxt2r5cY/uZSkyiY0fRTC2tuOhSR6RNZ7Xluyt05L8+1kX7b/1wh6RkaeKTj+rOcPvt7Wl3afb04Wp9aW80E0wu1NYzv9PFBsfJGo9q9ay1Oj/8GR0yNwk1dedVtadY+Vb7rIf3Pa0teUMXTaLn29N2KG12qXu5C7v0dOmJuJM1/pM5fjK0wwHCSwQQQAABBK4XAXuoRNsTW7YdrVeXL33adpFr9qbqr7MyZQ/yUJO5b4lpbflExHxNQLxAAAEEYhIgQRETVxcr3LRbxc9Ky14r1aJJgwNDA0yCYexCPVWYE2hsrV7/+WnHH9XBb+0nzHtUQ9Naf2ufkvktzXkoM1DHr7Xz++WqjrnzgNXr4aDKVv9Y+9eNdUkqxPN+pKhX794uk0ulKW/1Qe1d94Je8cz1LdHlr/2cfrLhsIas26KVRXnq72tqitIGz9LKhXe3xOR9Z6UmP/2hJv/kZ45yRdq0cXagPtPV8tWDITNqxxN/6DEM7QjV4DkCCCCAAALXl4A9VCJT3xw30OXeI5po/1eNDVeCBf+ijzp2HuxExBwMl2cIIIBArAIkKGIV60rlU8eqZMs8lwRDT31p2KBA9t2rT8yF8Y+h7bbX4u7xVd0zMlx3xVT17nNz8Kj6KlX9xtEzIbg3wjOTELg9S30jlErU7uASXVaN2Zr2vSc0JrPlu4jAaVKUfve9Gml3xfD217Snl7iUk1I+n60cu9zHNapNyDCPYJLIv2pH6yRRojyoBwEEEEAAAQTiEGgZKpGvsbk946jA5ZA+fdS7Iy/5HRGzSzPYhAACCIQTuCncDrZ3A4GU3urdK/JVrunMef1WpvdAgKT55EG97usu6FFhtlnXMqrHRzpf+3spM74pHFPSzAXZnMcxA0VUZ+6wQr16K93ii5R3CS3nbdSlKybd4zuwHZG1DO34Iat2tIORQxFAAAEEEOgYgc4aKtGsK5cvO3q+RtvCzoo52vgohwAC3UGABEV3eJcT2kavPvpVlT9R0MOscHFqlfLs3gEJPQ+VhRcIDu3YzKod4ZnYgwACCCCAQKcJdNBQiUuXdNkMmfUPOXVr3B919VJj8LuT1DT16RVth+kOitktTLYhgAACYQRIUISBYXM4gVgnawpXD9v9Al7VlRVo9IpjbYPkFuvQ/iLTiyVkaEf5fOW5zP/RdkXsRQABBBBAAIEOF2gZKjG1ncM77GVDL/hD/uSSGq1xt5E7wPrLR9lb1lc4YTH7T81PBBBAIB6BaFOq8dTNMV1SIGSypphnhu6SIMltlG/+jz3SlKUM7UiuPGdDAAEEEEAgSoFEDpVwrMoRMQLHF0k5dygzqp6uiYw5YpAUQAABBMIK0IMiLA07Iguc0/vHL6ow868iF6VEQgS8b3v0Un2TmjyPaWi00380hc4V0k8Pl7+plfnxzQWSkEZQCQIIIIAAAl1aILFDJVK//FV9PdWjCmvOq8CXQ3lhsw4hXySZtcYyRgzRrVFZJzbmqE5JIQQQQMBFgASFCwqb2hII7WrYqHe3va6aCUXKitDVsLl6h7ZqvGYOTtAs1m2FeEPtS1X/Io9qiqILOtJ8nNHVQikEEEAAAQQQ6DCBRA+VSB+u+76RpopDjSbkSJOO/49qzljlrEcMy5smOmZ/APxEAAEEYhYgQREzWXc/IFW3fmWoMnTMN1Gm9/gLWlw+Ui8XDWhjOORFvbPzQ9284M+6O16725+av0r/Wbcqcj21ZZqQV6JTVkkmM43sRQkEEEAAAQQSItARQyX6atT9w5R66ICZ/LJBR4/VqDl/qPt9V8MHev90k78lGdEub9oRMScEk0oQQKAbCjAHRTd809vb5JTcMfpmhj2g8aqqVxTp26+Yi6VrxWZSx6qt+tEnd2pUe5fWdK0/ZGOvdN1ih3X2vGpduxu0Z/mtkHPxFAEEEEAAAQQQaCXQEUMlUpQ+YY5m+e69vKo/fNz0o3B/NP/mnM767n/+XIOnP6jcCD1c/bV0RMzu8bEVAQQQiCRAgiKSEPtbC6R8UZOmDzUjG+1HvQ4seEiTFpWpsjaQtbd2NVZr96ZizZj6qu6YOlLpdvGO+p12m7L7BqJqOqFjH/zBcaYm1R0o0RPrT7RsbzryS33gnllpKcMTBBBAAAEEEEAgKoGWoRLR9l6IqlazascgPfbMZPWzip/cJU+18x7H2mF6rG5/09fDNXXIP2rVrLZ6t1rlA4+Oitmun98IIIBADAIkKGLA6hJFr1xWg/0HefNlXb5iv2ijdYE1t4Mleihr1nKVjMsIbtJVnfKUqDBvoLL6Z/r/DZqohSv36GLeP2juqFtCyvqfNjeatbxbbXXfcE3ZcL0jUgZq7AOZgQrOqvypNTpoJ0ysZMmqxzVv5xf05FN5wW6R9T/Wdx77Z62ePVFLKgJjNkON9KkuNbp2xXAEmuhyjup5iQACCCCAAALXuUCcQyUaq7R59kjfvdOA8f8UvHe5prUpSsufr+VTbjNba7Vv+2HZM034i/l7rD6/59dSv2+pZN20iPOD2cc1/OItves1E2o+MCbKHhfXBMYLBBBAIKECJCgSynmdV9Zcq4PrXjIXoUCc3ve0dfMvHRc4s6+5Rq/uOKKWvhD1r6l0r2MIR0qWJm7cqtK/zw3pSeFsf6r6jVuubRunqL+zi6E5x76Nr/my/L6jmt7U888dbR2LtbNV2SN6eb8jHl8lPZU7ZbbG9vP3ovCe/FfNsRMmg6Zr66cT9AMTS6YzFt2kPvcvM8t2pplaGlS1+adBI+smwMRZ1yqPY8o994L2tiCZchu2qbrRWTDacr4G8AMBBBBAAAEEbliB+IZKeI97tP5Qva/V1r3LdzceNXNNuD1uUd6zW8y910A1eBZoRvEbgfuTBlV7lpkeqxt0ZuAMlW5fo4mZPdwqcNkWX8wuFbEJAQQQSIjAZ/5kHrHWZH1Dbj1q6mpjPZTynSLgVV1ZgUavOBbm7D1059J92lv0OVUuuk+Fngthyg3Tk5XbzLKiwcEdZr0r1VXs0r+9tVPrPScDF1STmBg9U4UFU/Vofmawt4Kv1sYI5whdBjOWssGQm2srtWXjD7Q2EE9q7hQ9MW+uZgZi8VYs1qA5Z/TAgod1zz2Tlee7iEcysuaaLNeJ1YP1720amThyi3Vo/wypTXO7vrw2EjzBNsX8jEkyYybjgO4jwDWs+7zXtBSBpAo07FbR8AWq6DtXu95erMGtvhAJE43Vg2LBPD1rkhSpuTO04fnFGtNmgsG69/LIs61MpYHEhnWvM3/6VD0yabCsr1uifsQbc9QnoCACCCAgXw8xyyGa/AEJCj4xCCCAAALdSoAERbd6u2ksAggggAACCHSyQCz3Xgzx6OQ3i9MjgAACCCCAAAIIIIAAAggggIBEgoJPAQIIIIAAAggggAACCCCAAAIIdLoACYpOfwsIAAEEEEAAAQQQQAABBBBAAAEESFDwGUAAAQQQQAABBBBAAAEEEEAAgU4XIEHR6W8BASCAAAIIIIAAAggggAACCCCAAAkKPgMIIIAAAggggAACCCCAAAIIINDpAiQoOv0tIAAEEEAAAQQQQAABBBBAAAEEECBBwWcAAQQQQAABBBBAAAEEEEAAAQQ6XYAERae/BQSAAAIIIIAAAggggAACCCCAAAIkKPgMIIAAAggggAACCCCAAAIIIIBApwvc1J4IsvpntudwjkUAAQQQQKDTBLiGdRo9J0YAAQQQQAABBFwF6EHhysJGBBBAAAEEEEAAAQQQQAABBBBIpsBn/mQeyTwh50IAAQQQQAABBBBAAAEEEEAAAQScAvSgcIrwGgEEEEAAAQQQQAABBBBAAAEEki5AgiLp5JwQAQQQQAABBBBAAAEEEEAAAQScAiQonCK8RgABBBBAAAEEEEAAAQQQQACBpAuQoEg6OSdEAAEEEEAAAQQQQAABBBBAAAGnAAkKpwivEUAAAQQQQAABBBBAAAEEEEAg6QIkKJJOzgkRQAABBBBAAAEEEEAAAQQQQMApQILCKcJrBBBAAAEEEEAAAQQQQAABBBBIugAJiqSTc0IEEEAAAQQQQAABBBBAAAEEEHAKkKBwivAaAQQQQAABBBBAAAEEEEAAAQSSLkCCIunknBABBBBAAAEEEEAAAQQQQAABBJwCJCicIrxGAAEEEEAAAQQQQAABBBBAAIGkC/w/z/YGNp567G4AAAAASUVORK5CYII=" alt></p>
<p>Determine the energy released in the reaction in (b).</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts.<strong> Part 1</strong> is about renewable energy. <strong>Part 2</strong> is about nuclear energy and radioactivity.</p>
<p><strong>Part 1</strong> Renewable energy</p>
<p>A small coastal community decides to use a wind farm consisting of five identical wind turbines to generate part of its energy. At the proposed site, the average wind speed is 8.5ms<sup>–1</sup> and the density of air is 1.3kgm<sup>–3</sup>. The maximum power required from the wind farm is 0.75 MW. Each turbine has an efficiency of 30%.</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Nuclear energy and radioactivity</p>
<p>The graph shows the variation of binding energy per nucleon with nucleon number. The position for uranium-235 (U-235) is shown.</p>
<p><img 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X3rv/2/5F/4R4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgMGgE3jBoRmqgBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECLQICHr8IBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFBJiDgGWQNM1wCBAgQIECAAAECBAgQIECAAAECBAgQIECAgIDH7wABAgQIECBAgAABAgQIECBAgAABAgQIECBAYJAJCHgGWcMMlwABAgQIECBAgAABAgQIECBAgAABAgQIECAg4PE7QIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAYZAICnkHWMMMlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBzWE8GI46t72sXzBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECByCwfeeOPh1tBk+fuOxMgAABAgQIECBAgAABAgQIECBAgAABAgQIEDj0Aj3O4CkMsa/JUeE43wkQIECAAAECBAgQIECAAAECBAgQIECAAAECBIoL9HclNTN4invaSoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoWwEBT9m2xsAIECBAgAABAgQIECBAgAABAgQIECBAgAABAsUFBDzFXWwlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJStgICnbFtjYAQIECBAgAABAgQIECBAgAABAgQIECBAgACB4gICnuIuthIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEylZAwFO2rTEwAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBxAQFPcRdbCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJlKyDgKdvWGBgBAgQIECBAgAABAgQIECBAgAABAgQIECBAoLiAgKe4i60ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIVEPCUbWsMjAABAgQIECBAgAABAgQIECBAgAABAgQIECBQXEDAU9zFVgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2QoIeMq2NQZGgAABAgQIECBAgAABAgQIECBAgAABAgQIECguIOAp7mIrAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBsBQQ8ZdsaAyNAgAABAgQIECBAgAABAgQIECBAgAABAgQIFBcQ8BR3sZUAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgULYCAp6ybY2BESBAgAABAgQIECBAgAABAgQIECBAgAABAgSKCwh4irvYSoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoWwEBT9m2xsAIECBAgAABAgQIECBAgAABAgQIECBAgAABAsUFBDzFXWwlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJStgICnbFtjYAQIECBAgAABAgQIECBAgAABAgQIECBAgACB4gICnuIuthIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEylZAwFO2rTEwAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBxAQFPcRdbCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJlKyDgKdvWGBgBAgQIECBAgAABAgQIECBAgAABAgQIECBAoLiAgKe4i60ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIVEPCUbWsMjAABAgQIECBAgAABAgQIECBAgAABAgQIECBQXEDAU9zFVgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2QoIeMq2NQZGgAABAgQIECBAgAABAgQIECBAgAABAgQIECguIOAp7mIrAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBsBQQ8ZdsaAyNAgAABAgQIECBAgAABAgQIECBAgAABAgQIFBcQ8BR3sZUAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgULYCAp6ybY2BESBAgAABAgQIECBAgAABAgQIECBAgAABAgSKCwh4irvYSoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoWwEBT9m2xsAIECBAgAABAgQIECBAgAABAgQIECBAgAABAsUFBDzFXWwlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJStgICnbFtjYAQIECBAgAABAgQIECBAgAABAgQIECBAgACB4gICnuIuthIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEylZAwFO2rTEwAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBxAQFPcRdbCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJlKyDgKdvWGBgBAgQIECBAgAABAgQIECBAgAABAgQIECBAoLiAgKe4i60ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIVEPCUbWsMjAABAgQIECBAgAABAgQIECBAgAABAgQIECBQXEDAU9zFVgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2QoIeMq2NQZGgAABAgQIECBAgAABAgQIECBAgAABAgQIECguIOAp7mIrAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBsBQQ8ZdsaAyNAgAABAgQIECBAgAABAgQIECBAgAABAgQIFBcQ8BR3sZUAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgULYCAp6ybY2BESBAgAABAgQIECBAgAABAgQIECBAgAABAgSKCwh4irvYSoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoWwEBT9m2xsAIECBAgAABAgQIECBAgAABAgQIECBAgAABAsUFBDzFXWwlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJStgICnbFtjYAQIECBAgAABAgQIECBAgAABAgQIECBAgACB4gICnuIuthIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEylZAwFO2rTEwAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBxAQFPcRdbCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJlKyDgKdvWGBgBAgQIECBAgAABAgQIECBAgAABAgQIECBAoLiAgKe4i60ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIVEPCUbWsMjAABAgQIECBAgAABAgQIECBAgAABAgQIECBQXEDAU9zFVgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2QoIeMq2NQZGgAABAgQIECBAgAABAgQIECBAgAABAgQIECguIOAp7mIrAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBsBQQ8ZdsaAyNAgAABAgT6KvDaa6/19RD7EyBAgAABAgQIECBAgAABAgQGpYCAZ1C2zaAJECBAgACBrgK7d++OD511Vjz15FNdn/IzAQIECBAgQIAAAQIECBAgQCB1AgKe1LVUQQQIECBAIJsC//Iv/xKvvvJqPP/8lmwCqJoAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIECBAgAABAgQIECBAgAABAgQIEMiUgIAnU+1WLAECBAgQIECAAAECBAgQIECAAAECBAgQIJAGAQFPGrqoBgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBTAgKeTLVbsQQIECBAgAABAgQIECBAgAABAgQIECBAgEAaBAQ8aeiiGggQIECAAAECBAgQIECAAAECBAgQIECAAIFMCQh4MtVuxRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJpEBDwpKGLaiBAgAABAgQIECBAgAABAgQIECBAgAABAgQyJSDgyVS7FUuAAAECBAgQIECAAAECBAgQIECAAAECBAikQUDAk4YuqoEAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIlICAJ1PtViwBAgQIECBAgAABAgQIECBAgAABAgQIECCQBgEBTxq6qAYCBAgQIECAAAECBAgQIECAAAECBAgQIEAgUwICnky1W7EECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAGgQEPGnoohoIECBAgAABAgQIECBAgAABAgQIECBAgACBTAkIeDLVbsUSIECAAAECBAgQIECAAAECBAgQIECAAAECaRAQ8KShi2ogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiUg4MlUuxVLgAABAgQIECBAgAABAgQIECBAgAABAgQIpEFAwJOGLqqBAAECBAgQIECAAAECBAgQIECAAAECBAgQyJSAgCdT7VYsAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAYBAU8auqgGAgQIECBAgAABAgQIECBAgAABAgQIECBAIFMCAp5MtVuxBAgQIECAAAECBAgQIECAAAECBAgQIECAQBoEBDxp6KIaCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwJCHgy1W7FEiBAgAABAgQIECBAgAABAgQIECBAgAABAmkQEPCkoYtqIECAAAECBAgQIECAAAECBAgQIECAAAECBDIlIODJVLsVS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECKRBQMCThi6qgQABAgQIDLBAc8OCOPv46hhx8vTY0NTHkzc2xJqlX4kZF42MEblzFL5OnxwLl/5tbNixr48ntDsBAgQIECBAgAABAgQIECBAgEBXgcO6bvAzAQIECBAgkHGBxr+LRZ9fEbv6zLAvdq5bENd95u54tlgotHt9LJmT+1oStbNvj1vrRkVVn6/hAAIECBAgQIAAAQIECBAgQIAAgZyAGTx+DwgQIECAAIF2gebtsWbatFiyeW/7tl49ao7G+pvjiroS4U6nc+yK+jlXxuSlW6K503Y/ECBAgAABAgQIECBAgAABAgQI9FZAwNNbKfsRIECAAIG0CyQzdxaOGxdTH+v73J1o/nnc+RcPxO6CUeXImDB7eazfviO278x9/SweWPTHUTusMr/H3mhY+MV4aI+Ip0DmOwECBAgQIECAAAECBAgQIECgLwICnr5o2ZcAAQIECKRSIJl907A06s77VD9m7uRAmmPPg0ti+a78umzDPhK3PnZ/zK8bHcdXFMCGRs2l0+Nr990SYwshT9PT8cgTvyrs4DsBAgQIECBAgAABAgQIECBAgEAfBAQ8fcCyKwECBAgQSJ1AY0OsmjY+Th83N+p3twY0le8cGe8oTLTpVcG/ih987+nIHx3Dx306Lq4eUvTIiupLY87UD0Xr6Rvjqe9tjD1F97SRAAECBAgQIECAAAECBAgQIECgOwEBT3c6niNAgAABAmkW2LE0Lnn3+JixcnM+nDkyTv34V+PR1dfFO9tm3vQCoPlf4oXn/z2/Y3VccO4pUfrwihj6ofPizHyA1PTko/EDy7T1AtkuBAgQIECAAAECBAgQIECAAIHOAgKezh5+IkCAAAEC2RQYNiY+u/yhWD33wx2WVeslxUvPxI8Ly7MNeXec9q7Duz9w6Olx/llVrfs0PRs//fu93e/vWQIECBAgQIAAAQIECBAgQIAAgf0EDttviw0ECBAgQIBAdgSSYGfK1M/G1ZfWRD5y6XPtTTteiG2Fo046Iap7XN7t8DhqaGEJt8bYsv3XEbX9vXrhwr4TIECAAAECBAgQIECAAAECBLIlIODJVr9VS4AAAQIE2gWq6+LBjXXtP/frUXP89tVXozl/7JCTT4g/6PE8vxfVJ7412Wt38tUcr76yt+X40su69XhCOxAgQIAAAQIECBAgQIAAAQIEMidgibbMtVzBBAgQIEBgIAX+K/a+0pi/h09/ztsU/7rnt/Ff/TnUMQQIECBAgAABAgQIECBAgACBDAsIeDLcfKUTIECAAIFDI/CGOPLoquhxJbdDMzhXJUCAAAECBAgQIECAAAECBAgMCgFLtA2KNhkkAQIECBBIk0BFvOmooyK3JFtTibJee+212Lat7c4+JfbqvHnr81s7b/ATAQIECBAgQIAAAQIECBAgQCDFAgKeFDdXaQQIECBAoDwFOt+3p9gYr/vTP4sN9fXFnupxW0PDz3vcxw4ECBAgQIAAAQIECBAgQIAAgcEuIOAZ7B00fgIECBAgMOgEer5vz4yZM+P0M07vU2Uv73o57r3nnnjHO97Rp+PsTIAAAQIECBAgQIAAAQIECBAYjAICnsHYNWMmQIAAAQJlI9B+P51Sy611P9TKePPQN0XXmwKecOIJkfvqy7+GhoaWgOeNb/zvfTnMvgQIECBAgAABAgQIECBAgACBQSnQ9e8pg7IIgyZAgAABAgQOlUD7/XRyI9i35YV4ucehNMWrr/xbfq+KOOroI1vux9PjYXYgQIAAAQIECBAgQIAAAQIECBBoExDwtFF4QIAAAQIECPRHoLL6hDixcOArr8SrzYUfSn1vjB1bf51/sipOHvGWUjvaToAAAQIECBAgQIAAAQIECBAgUEJAwFMCxmYCBAgQIECglwJve098YHhl6867NsWml3pYrK35X+KF5/89f/K3xgnVv9fLC9mNAAECBAgQIECAAAECBAgQIECgICDgKUj4ToAAAQIECPRPoGJEnPaBofljt8Sjj2+P0pN4mqPxB6vjoV35EGj4qBj1tnw41L+rO4oAAQIECBAgQIAAAQIECBAgkEkBAU8m265oAgQIECAwkAJHRs15o2NYyyn3RsPCL8Rd2/cVv0Bjfcyf9UDsbnm2MoZfeE6MrCi+q60ECBAgQIAAAQIECBAgQIAAAQKlBQQ8pW08Q4AAAQIECPRKoCKqzr40Li4s09a0Mead99GYsXRD7GybyrMnGlYviLrzPhurdudn71R+KP5s8rtDvtMrZDsRIECAAAECBAgQIECAAAECBDoJHNbpJz8QIECAAAECBPojUPHuuPrmy+KhSfe1zs5p2hyr5kxKvkqdLJn1M+3P4+Kh4p1SQrYTIECAAAECBAgQIECAAAECBLoTMIOnOx3PESBAgAABAr0USGbx1N4Qi2ePzS/V1t1hw6N29l2xrO5ks3e6Y/IcAQIECBAgQIAAAQIECBAgQKAbATN4usHxFAECBAgQINAXgaFRU3dn/GhCQ6xZ9cP46XeWxqrNe9tPMGxMTLnqQ3HaOZfF6Ooh7ds9IkCAAAECBAgQIECAAAECBAgQ6LOAgKfPZA4gQIAAAQIpF6gcHfO37Ij5/S2zqibG1+W+/qT/5+jvtR1HgAABAgQIECBAgAABAgQIEMiIgCXaMtJoZRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLpERDwpKeXKiFAgAABAgQIECBAgAABAgQIECBAgAABAgQyIiDgyUijlUmAAAECBAgQIECAAAECBAgQIECAAAECBAikR0DAk55eqoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIiICAJyONViYBAgQIECBAgAABAgQIECBAgAABAgQIECCQHgEBT3p6qRICBAgQIECAAAECBAgQIECAAAECBAgQIEAgIwICnow0WpkECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAegQEPOnppUoIECBAgAABAgQIECBAgAABAgQIECBAgACBjAgIeDLSaGUSIECAAAECBAgQIECAAAECBAgQIECAAAEC6REQ8KSnlyohQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMiIg4MlIo5VJgAABAgQIECBAgAABAgQIECBAgAABAgQIpEdAwJOeXqqEAAECBAgQIECAAAECBAgQIECAAAECBAgQyIiAgCcjjVYmAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkB4BAU96eqkSAgQIECBAgAABAgQIECBAgAABAgQIECBAICMCAp6MNFqZBAgQIECAAAECBAgQIECAAAECBAgQIECAQHoEBDzp6aVKCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgYwICHgy0mhlEiBAgAABAgQIECBAgAABAgQIECBAgAABAukREPCkp5cqIUCAAAECBAgQIECAAAECBAgQIECAAAECBDIiIODJSKOVSYAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRHQMCTnl6qhAABAgQIECBAgAABAgQIECBAgAABAgQIEMiIgIAnI41WJgECBAgQIECAAAECBAgQIECAAAECBAgQIJAeAQFPenqpEgIECBAgQIAAAQIECBAgQIAAAQIECBAgQCAjAgKejDRamQQIECBAgAABAgQIECBAgAABAgQIECBAgEB6BAQ86emlSggQIECAAAECBAgQIECAAAECBAgQIECAAIGMCAh4MtJoZRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLpERDwpKeXKiFAgAABAgQIECBAgAABAgQIECBAgAABAgQyInBYRupUJgECBAgQIDCIBV577bW48lOfimc2PdNjFf/6m3/tcR87ECBAgAABAgQIECBAgAABAgQGu4AZPIO9g8ZPgAABAgQIECBAgAABAgQIECBAgAABAgQIZE7ADJ7MtVzBBAgQIEBg8AkcccQRsWr16m4H3tDQEJeNGx9vPubN3e7nSQIECBAgQIAAAQIECBAgQIBAGgTM4ElDF9VAgAABAgQIECBAgAABAgQIECBAgAABAgQIZEpAwJOpdiuWAAECBAgQIECAAAECBAgQIECAAAECBAgQSIOAgCcNXVQDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkCkBAU+m2q1YAgQIECBAgAABAgQIECBAgAABAgQIECBAIA0CAp40dFENBAgQIECAAAECBAgQIECAAAECBAgQIECAQKYEBDyZardiCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgTQIHJaGItRAgAABAgQIECBAgAABAgQIECBAYNAK7Fgal4yeG8/mChgyMZY9uyBGV/almsbYMO38mLxyd3LQsJiw/JGYX1vVlxN0u2/zjg1x7+Mb48dfvyvqdze171s5MibccEm87/0Xxfiaoe3bu3vU2BBrVj0aj3Q615Fx6sS6+Mj7/yguu7Qmejfy30XDgnFx2R1bu7tap+eGTFweP184OvpE2+kMfiBAgEB5CQh4yqsfRkOAAAECBAgQIECAAAECBAgQIECgPASad8Tjn7surv3m5ugQ67SPrWlzrJqffMW8WDRmaixeNClqqiran+/0aF/sXLcgrvvM3fHsfifbG8+u/GLL1233fDoW//X0OKd6SKej9/9hV2z60Uv7b7aFAAECGRKwRFuGmq1UAgQIECBAgAABAgQIECBAgAABAr0SaN4ea675ZEwpFe50OklT7F4/Ny6ftDy2N3d6Iv9DczTW3xxX1BULdzrv37T57phy7pWxbPu+zk90/WnPL+Inv+xhn67H+JkAAQIpExDwpKyhysmqwNZYdtEpMeL46uTrjJhR33gAELlp3WcM0LkOYBilDs1NW2+pM6n15OmxodOnfsp87KVqsp0AAQIECBAgQIAAAQIECJSVwL7YvvymmPXYrvyoKmPYmKvjpuX1sXXnjtje8vXLWL98VkwYeWTbyJueuTUm3bYp9st49jwUU6fcF7kF5HL/KkdOjJkdz7W9PpbNnhinFtZOa9oYt039RomwqPUczS9ti62FvwkM/+N4YHthXKW/P2d5tlY8/0uAQGoEBDypaaVCCBAgQIAAAQIECBAgQIAAAQIECAyAQPNzsfqeTfll2ZL741xzTzz89ZlxZW11tC/ANiSOr62L+WvXxq3nDs9ftCl2LVsSD+3pGPEk98pJttXnw5jKkdfGinvnxuSO56qojtF1c+Pub13bFvI0PfNArN78uxLFJDOC/nF7/Cr/bOUfnhhvax9YiWNsJkCAQPoEBDzp66mKCBAgQIAAAQIECBAgQIAAAQIECPRboHnz4/HwrnwiM/yK+PyNZ0RVqbNVjIjx866P2rbZN8/GT/9+b/vezb+Mdd/Zkf/5pJj0hWtiVNH79FRE1ajL45NnFa70Uvz4Z4UZRO2na320Nzb/5Nl8ADUkTj79XTG06y5+JkCAQAYEDstAjUokQKBPAlUxeuHfxfaFfTqoTHYezGMvE0LDIECAAAECBAgQIECAAIGMC3SeHTPkA++Ld/U0O2bo6XF+EszUr88tGd8YW7b/OqK2NajpHBbVxtiRh3fje3gcNXRIN88Xnvp1bN+Su1bu39viA+8tzCBq3eJ/CRAgkBUBAU9WOq1OAgQIECBAgAABAgQIECBAgAABAj0KVMTQS++MLZf2uGOHHUoHMxU10+MHO6d32Le7h7+LV/fsy+8wJI45+ojiO+/5Rfzkl/n9Ko+LE972xuL72UqAAIGUCwh4Ut5g5REgQIAAAQIECBAgQIAAAQIECBA4uAIdZ9RUxckj3tKPy+2LnavnxaKWWUDJ4cPOj4+PObboeZpf2hZb8yvIxbEjorqqMRpWr4l137s3lqwvLOuW3DtoYl1cfN5H4pMd7/dT9Iw2EiBAYHAKCHgGZ9+MmgABAgQIECBAgAABAgQIECBAgEB5CHSaUXNqvO9/HdmHcSVLwjV8J+6/76740srN+fvqHBcT5l4fo4veq6fzEnKVR++KFeNGx9rNHe7703L1vfHsyi8mX1+JZWOmxuJFk6Km6Pn6MFS7EiBAoMwE3lBm4zEcAgQGTCD3AunBWDLt4jj5+OoY0fI1Mi6Z9pW4q35HNJe8TmNsmHZGfv8zYkZ9YU3bwgFbY9lFp3R5vvVayxZMjg+2XSu55okXx4yv/W1s2FGYXl04R6nvxc5zUnzwqnk9jLlwvnIbe3WcfNH0WLK6IVmBOPevo93EWLaj8HGjwvj78b15R2xYviQWXnVmvif5XvfavuOYCv0u1od+9HMgx3by9NiQcDXv2BDLOv5O5+pcuiF27vcLXbyGXvVjz5qoO7Hw38z/joUNv+uxMc0NC+Lswu/+Hy2Ihv3G0+Mp7ECAAAECBAgQIECAAIFBKvCb2LDgy1Hf8ha3MoaNmxC1Q3u6aU9Satt7rxNi1LjrY2Eh3Bk2NmauXR3za48p4bE3Nv/k2XwQFNG0+btFwp2OhzbF7vVz4/JP3h6bGr1Z6yjjMQECg19AwDP4e6gCAkUE9kTD0mvigo4vkFr2av30yi2TauOdF30hHu918FLkEoVNyR/xH581Pk5PrjXvjvWxu7A9971pc6ya/7mYPHps/PHq7d2ESsm+Jc+TeyF2Z9wy6eK4dNb3Yud/dbzAAT4uec2BGnuOYGUsvOGjccFVS6OhcSAHn0xdX/eFuOTk2ph88/wOU9DzJm3274tLcm69fQ07ICYHaWyN62L25VNiXuFFf67UpM4HN74aR3Z879BNDb3qx9Dz4jOTT8pD7oiHH/tl97+78bvY/Fh9tC4CUBnDLzwnRnYcT/5MvhEgQIAAAQIECBAgQCB9AsmH6+q/FDetfLG1tMpRceWUM6OqN4X+dk/8psjnHivfclQ0/+NL+Q9KFjtRx+Xgcs/nlmKbFcs2/DK279zR/vXzNXHrjIlxamXrOZo2L4k/nVvfzXmLXcs2AgQIlLeAgKe8+2N0BPoh8O+xZcVNce2cdZ3Dli5natp8d0y5/ObYcECfXmmMpz43KaZ8szCFustF2n7cFetu+EwsKjUTonl7rLnmkz2cJwmnvjkjblyyuYc/trddtIcHr+fYcyHVrXHttPvjhd4GLd2OPrcu8dS4ou7ueLbIi+HOh+bcrosrrlnZi5BnIEwO1tj+Ob4/Z06s2t214Ko488Onx9BC0b36XeqpH4fHyHNrY3jLOZti13cej83d9a35l7HuOzvyI6iOC849JeQ7hYb4ToAAAQIECBAgQIBAegWScGfT7fHpKffl//6QLKu25MsxecSQXpXctOOF2DZsTEyZPStmXjMmhuWPav1gXvJB0osWFZ9x03E5uOSd29hFa2P1wroYXd3lulU1Mf6P58bd37o2H/Ik7wVX3hZ3lvrbRK9GbScCBAiUl4CAp7z6YTQEBkAg+YP++o3Ji6tkWvSYP45b1/6s7dMrWzcsj5kTRybP5P/tfiBuOqBPr+yL3btzi4/lPi1zY/fXSpYnW7740dhTuHbb932xfflNMeuxwk0Qi4/7ppYXe3ujYeV34x/ajj2QBwMx9ubY8+CCDmOPqBw5MWYur4+t+U8N5cxbx568kHzs7lj1XG+XqytdW/P2b8SNM77bFuDlrjlt0ZrY1OGTSu3XzZ0nd+1b4sblW3oIxw7c5KCNbd8PY9WDySfCkhf/n23zfSE2rf1KfKbtppsD14+KkefEBcPz/6Xsqo91m0sv09a8+fF4eFc+eBpeG2NHHl66eZ4hQIAAAQIECBAgQIBAKgTy4c7HFuc/eJj8XeCaeTGj5LJq+xddWbsgntu4LKbV1cXk6cviRzt/GeuX/2nUDmt9L9a0eXFcMWl5bO/6gbuh42PptsJMnafia5eO6OZDdhVRNeqT8WfjjssPoDerNOw/VlsIECBQrgICnnLtjHEROCCB3Aure+Lhr0+P8TVtcxuionp0TF64PFZcU5MPeZI//K9dHg9sP5DQofBpmc8WudayuGNi4UVUEjM8vy1e6vrCrPm5WH3PpvzauUm4M/GrRcd95fQl8fDyy9s+0XNAPG0HH+jYfx5f/9IT7WM/d0E8unZBTK6tbntxmTO/cvriWLHoIwM09n+Oh+b+TTS05Am5Pn8zNn57QUy5tKbTFPjW6yZmqwufVErCsYVfjIf2dG1AG0b+wYGYHOyxnRRT7vhy/Hmbb/JCveaP2m+S2TyA/ag4JcZeWJ036e4NwG/iyfseyS/PdmTUfOpiy7N1/ZXyMwECBAgQIECAAAECh1ig471XC/cb7fr9lLhk6dZejrNYuLMk7p5+Rqf3pb08WYfdhsTxtdfH11ZMjZrCsmrPrIilP/hNh3368/DoGPn+k9r+DrLrR8/EP/XnNI4hQIBAGQoIeMqwKYZE4IAFhl8Rn7+x1AuroTHqxrlx43uObL1M06b4xgPP9TCzo/SIKt/zyZh6SalPyxwTZ11+fn6pq+Qc//pKdL0NTafZD8Mui1tm1ZZ4QZj8Mb/2plh8TeHeKKXH1NtnBnzsCy+N44uuzZW8SL30L+KWDmFXb8e43357NsYjT+ZmTSX/uu1zbofcJ5Wuic8X7ifT9HQ88sSvck+U/HdAJgd5bNHD7Jj9fpcOqB+HR83kKVHb8qaim2Xa9jwV31xbWGv69Pj4+BPbwr2SyJ4gQIAAAQIECBAgQIDAgAt0vS/NgF8gf8LcPVdviU93mrkzEOFO+3grRlwRswvvY+PF+M6jv8h/sLJ9n749St4bv31EHFs4aOsLsaPr6t+F53wnQIDAIBMQ8AyyhhkugZ4FqqL2+k9ETdGgIX90xYkx7orT2z698qutL/bzJoOVcez731Mi1Gi9VkXV0XFUyUF3uTn9uEvjrKruBt7x3iglT9rLJ17vsXcJu3o5ys67JUuQPfFoPNXyQrQyhl94Ti9mi3Q0a4wf/+T5bl4YH4jJwR9b9/X29XepF/0Yenqcf1b+1qBFl2nrWHOyPN9Z58XZQ7v7/e3cTT8RIECAAAECBAgQIECgTeBNQ+OY/KyVtm1l92BPNCz90w73g82vAHHAM3e6Fnp4vOu0d0fhjjr7trwQL3fdpY8/d/+3iT6ezO4ECBAoI4HDymgshkKAwIAIvCVOfHv+j9Ilz1f49Mq6lqWlmn70k9jcND5G9/nF5O/FSSf8jwOYsfB/o3HPb/Oj7N25Kt71vjhjyNdi1YGsKtdyxd5dryRhEont2Prr13ns/xEvvfBiPqBJZpXccVmcdEfpERZ7pvWF8eg4vtiTcSAmB3tsFXHU0Ud287t2MPpxbJz94dOicv26xLx1mbYbakZ1GMOv4gffezrfj6o488OnR/uCiEWBbSRAgAABAgQIECBAgEBxgTcdFS2fF8t9oG9fcn+Z5D6fo6v78Ca96eV4YWvhjfJb44Tq3+twnZNi8rd/GZM7bOnzw8ZNseyG62Le+vz9cytHxsf+5va4eWz7EuV9PufreEBz4yvxauF6bz46qnzkvaDhOwECg1zA/50N8gYaPoH9BX4/jq7q+UXgwHx6ZUgMPepAbijfcQp5L89V+QdxwkmFz/HsX33vt/TyeiVP+Fq88pvCi+denuuAx94xECs5sO6f6HYqei/rKHqFgz22ohftsPFg9KMihn7ovDiz5T+nIsu0dVySrvK0OP9DbRP+O4wrow+bd8SG5V+JGReNjBHHd1jb+/TJsXDp38aGHYX/djLqo2wCBAgQIECAAAECXQUq/zDe98HChzW3xU+e6dt9Z5p/8dP4u8LL7CHJa/DhPf9doOsQiv+c3G+nYWnUnXd5e7gz7CNx62P3x5xehTtNsXPpxLb3BSdftSb2FL9Qh63N8dtXX21bSr7ymKGRX2Q+2ad/52v8x+1RWLC88g9PjLdZfKGDt4cECAxmAQHPYO6esRMgQIDAwRUYel58prD2865H4v62m3t2XJ6tMoaNmxC1lmdLepF/8/fB/x2Tb/5irNq8t3N/dq+PJXM+F5NHj426pZv6uTRk51P6iQABAgQIECBAgEA6BKqi+qS35EtpjKdWPBzbm3tb2W/iyfseaVmhI3dE5QffHyMHJN9JXt9vuj0+PXFu1O9uvWlN5chrY+Wjt8f46t5+8LIy3vreUW335m168tH4wZ6eCuu4WkKylPhJx3W4V29l/MGI6rbl23p1vuZtsXbFRqsv9PbXyX4ECAwqAUu0Dap2GSyB3gj8W11HDH0AAEAASURBVLzSmHvh1f2rufKYnvyWGHFy8gmlzbuT8e6LPa/+Lvle+MRSiVqb98Yrr/T0YrDEsQO6+Yg4+pjcC9rcR6R6OfZOU+b7M5j/HlVD35QcmPMaEqfOfigerDupPyc6CMcc6rEdrH7k72F0x9bkzdKL8eCKp2Jq7fhkKbaObziq4+LLP9jTb+5BMC+3U+bf/LXdbLW78e2K+jlXJktErIz7607usOxdd8d4jgABAgQIECBAgECaBZL3HpddFjXL5kZD8pa+6Zlb45PX/H6suGNit/e9zb0f3bn65rhp5Yt5nOPikivOHJDlo5u3L4/Jba/vkw+2nXtLL8azf48qRp4TFwz/eixJlp2Lpidi0YL6qF04tsR7qFw982LR+sbWE1WOik9c9s5O7xkq33NOXDhsbazKhU5NG+PeZT+N2pL3AUrO9+BX465n8h8+G3Z+fHyM1Rf275ItBAgMVgEzeAZr54ybQEmBX8e2f8y/ECq5T/KH2LKYnlwIBXIDbYwf/+T5/CdqSg482e3F2ParXIB1qP91/nRVb8beacp8v4b/xnjbCcflo7t9sWXjL3oxtb1fF+rHQYd6bAevH61vRloD08Knw5obvhF/XXjDMbw2xo48kKUK+8Fdjoc0/zzu/LMl8Wz+P8/KkRNj5vL62LozWT+85euF2LR2UUwZMzw/+r3RsPALcdf2wjoS5ViUMREgQIAAAQIECBB4/QQqRlwSnx13XP6CTbH7sekx5oO5ZY4fjIbGLh90bFkWeUksvGpsjLnhuy0fA8wdWPmeK6Lu7GMOfNDNW+KuqV9pCZtazzs17u0xbCpx2Yp3x9U3XxbDWp5O6lp5Q3x62ldjTUPHxdpyqwE8GEumfTTOa6vnyKiZ9vm4ckSX2UJVZ0bdVaPy7433xrN3TEnOt7TLUtDFzndcTJh7fYyusj5biU7ZTIDAIBQQ8AzCphkyge4Fkqnc39vY/R/+y2Z6cn52RL6gfWvvi+90O1V7X2xfsyqeKod8J7qM/cl18cOuL7g7Nep3sfmx+rYp852e6vUPFVH19hFR+KxR05OrYm2PfxxPlhJbfXWcnL8PSu/WO+71gDrseKjHdhD7UXFKjL2wurXWpqfjkSdein/62aZ8Lytj+IXnxEjvD6J58+PxcO4Tebl/lafHjV/6Qkyu7XjD1eR3pGZ8TLtzacx8T34F7aZN8Y0HnmtbW7v1YP9LgAABAgQIECBAIKsCx8ToeV+PW88tfCgqcWhZ5vj6uOzdJ7Tdx6blPpcjapNlkefHkvW72rByy6etWD4pRhzw+5PkfeSDX4zbCrNekis0PTM3zk2WRut0j82O99vs+viipbGzbWTJe4HaG+LL19S0hzIrb4up497b4XwnxKhx18fClZvzH/zMzRi6KW6bVGzG/5AYMemWmNvmlIQ8K+cmS0Gf0s35joxTr5kXM2oHIPxqq8sDAgQIHHoBAc+h74EREBhwgab1fxlTlm4p8UfTPbHptlntL9QO8c3hO86OaJmqPXN17OzywaRWoNzyT1+NGxYW1s0dcLY+n7DT2Hc/EDdN627sd8QXlm3t8zW6HlAx8uL4RNsfxzfGbdd/NTZ1EyzlptRPmbEu/wJ54Kbqdx1X7udDPbaD14/Do2bylKhtmcTz77H1hb+PpzduyxNUxwXnntJpuYBiNunf1tQh9EoWEBx3dXyq66fsCggVJ8a4K07Pv7Fril0/eib+qfCc7wQIECBAgAABAgSyLlAxIsbfcW8su3ZMfsZLb0CS8OLjX41H194QowZkdkrHJal7c/3e7DM0Rk1fGvfNHtuLuoZH7ez74uE7u1meLu+05OMj8+8tuhlD5ciYsPCeuLvkMm7dHOspAgQIlLmAgKfMG2R4BPonkCx9NGdiXNppinJuevKaZPr2JTHxjob8H/xz053/PC4+lDeH7zpVO5mCft646bGsfkd7QNXYEGsWTIkLLl3ctvxT/1wG+Kj9xn5TXHH1vLjrYI49+eP4Zdd+pO0FcdPmxTHxtPEx42tdpuznzL42PS49r3X95lzlAzZVvxTjoR7bwezH0NPj/LNy94dKAokHFsTtT7Yug1g5ZkpcVWN5tpzLq6/8W/43Y0iceOIfdPMmqyKGvue0OLnU75HtBAgQIECAAAECBLIuUFEdo29cFj/6+Zq4dfasmDaxWIiRzHAZc3XMnP2leODnDfHg3A/3cK+ePqA2PR8//VFPS7/34Xxtuw6Nmro783VdHbXDOt87OLfM87SWep6IpXWjStyjp+1kyacMq+OcuQ/FcxuWx02zuznf02ti/sSans/X4dQeEiBAYLAIHDZYBmqcBAj0VqAmpsyujofmrGmdopxMUy7+r7vpzsWPODhbC1O1t8QV+eCpafPKmDcp+drvgsmYL7kw3vHomqgvi9t25MZ+fdwy8ccxueWGlslawuvvjFtyX/uNfaA25K75F3Hv7B1xwZz8bKamzbFq/vUtXyWvMuwjMXfRJwZgqn7JKyRPHOqxHcx+HBtnf/i0qFyfzIb6ze78+tZVceaHTx+Qm5d2pzo4nquMo47+/fxQ98W2bS8nkc9JJUOeph0vRGEO1OCozygJECBAgAABAgQIHAKBqpoYX1eTXLgupix8Ha9fOTrmb9kR8w/WJfN1ja+bOSBXqKgeHVfW5b4G5nwDMignIUCAwOskYAbP6wTtMgReP4HD4uhz/jJWLGqf5bH/tXPTt2+PFf29QeL+JzzALb2Zqp0LpG6JFfM/UmZ/UM+tkXxX9DwtPJliPjX5RFGXe0P2Dy5Zb7jurnh06afj1M4feCp6usqRn44l990a46sH5OJFr9G+8VCP7WD1I5l1MmZCXNLxE2aHeHnDdvNyeFQZb60dGzX538du76eV3Kz1nsWPRGtGm8wivPDMeGs5lGAMBAgQIECAAAECBAgQIECAAIFBJiDgGWQNM1wCvRMYEsdfens8vHZRTBnT4eaMkYQM18yKW9duGNjp270bVA97tU7VfjI3tXrGxM7BxbAxMWXR/d2vv9vD2Q/q0y3TwtfExrVfipnXdFknObfW74y/imUb1sXSqwdytkfS47Gfjwe31Meyv5jRpc+5anO9nhE3La+P5779+TjndQl3CsqHeGwHqx9VH4yPjqsuFBmVZ50XZx/K5Q3bRlIeDypGXBKfHXdc62Ca1sWsK2d1XmoxeaZ5x4ZYNnN6+z3Akplln51wonsYlUcLjYIAAQIECBAgQIAAAQIECBAYZAL/7f8l/7ob84jjW/+YtX3nju528xwBAgQI9CTQtCFmnDopVuWmLlSOjVs33hHjBQQ9qR285/vaj2TmybIJE2PeM3uTMR0XE5avivm1xxy88Q3GMzfviA1fmhM3LV6fX8audBG5mWWL/3r6gIaPDQ0Ncdm48ck65LNicl1d6Yt7hgABAgQIECBAgAABAgQIECBQRgL9zWHM4CmjJhoKAQKDS6Cpfnq8MwnBc/8HPOKPFkRDc/fjb/7FT+PvCvcOOnZEVFdVdH+AZ/skcLD70bz5ofhGS7iTDGv4+fHRs4U7+zWo5WawC2Lx7LExbL8n2zdUjrw2Vtx704CGO+1n94gAAQIECBAgQIAAAQIECBAgkA2Bw7JRpioJECAw8AJvOOroeHNy2l25U+96JO7/waSoKTWjI5n9cddfrWjdN7n1/PALz4mR8p0BbcrB7cdv4sn7Hsn3L7lvzKcu1r/9utccjQ3LY+o1t0b97qb9nu24oWnz4ph42pPxsb+5PW4eW110ibYXtr0QTzyxoeNhPT5+edfLLfv8x3/83x73tQMBAgQIECBAgAABAgQIECBAYLALCHgGeweNnwCBQyZQUf2eOGNYZaxq+WP2i7FqyuSIG66Mj37swqhpm52zJxpWfyvuv2dJrNqcW9or+Vc5Kj5x2TuL/lG7dQf/2x+BgexHc2Nj/K6qKo7MDaSw7NjKF1uH5b4xRdvTvH15TJ44Nxpasp3KGDbmqrjh2skxvmZo2/65e/Dcu3JFLLsjWcKtaXN8q+6TsWfR3fHVS0fs99/D/HnzYkN9fduxfXnwD//wD33Z3b4ECBAgQIAAAQIECBAgQIAAgUEp4B48g7JtBk2AQHkI7IvtS6+MC+ZsjO7nK3QcbTL7Y/bKuL/u5P3+oN1xL4/7IzCA/dixNC4ZPTee3W8Y+rcfSW5Dp/sTJeHOxK/GwwvHRlXxnaOx/nNxwaT7Wu/TU+J+VK+99lps27at6BlKbdz6/NaYNWOGe/CUArKdAAECBAgQIECAAAECBAgQKEuB/t6DxwyesmynQREgMDgEhsSIusVx3+8vii/Mvi+e7SnlqRzZ7ZJUg6Pmch7lAPbjTUPjmMqk1k49TYKLc2+K2yYJ57r+FnS6P1Hlh+KG6bUlwp3ckRVRVXtt3DDmkZi6vjExfjoeeeJXMf7S/9nptEcccUTU1NR02uYHAgQIECBAgAABAgQIECBAgACBdoE3tD/0iAABAgT6LjA0apJlqR58ek3cOvvPY8LIlkW9Opwmt1TV1THzL5bH+i0PxZwS9xvpcICHByQwQP2o+l9x/ujh7SMZNiamLLo/Hr5zYhzv3kntLi2Pknvv/OP2+FV+a+VZ58XZQ3tCOjbO/vBpyd2ocv8a48c/eb5zlpY/l28ECBAgQIAAAQIECBAgQIAAAQKlBczgKW3jGQIECPReoKomxtflvv4k5vf+KHseLIED7UfFiBh/51Mx/mCNL1Xn/a/Y+0pjW0BTMfSoeFOP9VXEm446qmWZwtwkqX1bXoiXY3Qc3+NxdiBAgAABAgQIECBAgAABAgQIECgImMFTkPCdAAECBAgQ6IfAG+LIo6vys3GS2/HseTV+2+NZmuO3r74azfn9Ko8ZGl3nvvV4CjsQIECAAAECBAgQIECAAAECBDIuIODJ+C+A8gkQIECAwIEJJPfUefuIODZ/kqbnt8VLheSm5Il/FT/43tP5WT+VcexJx3Vzz56SJ/EEAQIECBAgQIAAAQIECBAgQCDTAgKeTLdf8QQIECBA4MAFKkaeExcMb72jTuxaEXOWb2mbnbP/2ZN79tQvjkXrG/NPVccF557Sslzb/vvaQoAAAQIECBAgQIAAAQIECBAgUEpAwFNKxnYCBAgQIECgdwIV746rb74shrXsvTca5lwUZ101L5atbohCjNPyVGNDrFkwJS6YdF/sbtlQGcMm3hhX1xzeu+vYiwABAgQIECBAgAABAgQIECBAoE3gsLZHHhAgQIAAAQIE+iWQLNNWe0N8+ZotccUdDcnSa02xe/2dMS/3dUPpE1aOnBJfnlVrebbSRJ4hQIAAAQIECBAgUHYCr732Wnz7oW/Htq1bW8Z24kknxUUXXxRHHHFE2Y3VgAgQIJB2AQFP2jusPgIECBAg8LoIDI1R05fGfUfPjGvnrMvP0Cl14WTmzpipsXjRpKipqii1k+0ECBAgQIAAAQIECJSZwBc+/5dx7z337Deqz82eHRdedFHcMneOoGc/HRsIECBw8AQEPAfP1pkJECBAgEDGBIZGTd2d8aMJyVJsq34YP/3O0li1eW+7QeXImHDDJfG+918U42uGtm/3iAABAgQIECBAgACBshcYM3p07Nyxs+Q4v/Ptb8emTT+LR77/fSFPSSVPECBAYGAFBDwD6+lsBAgQIECAQFVNjK/Lff1JzKdBgAABAgQIECBAgMCgF5h249Ruw51Cgf/88j/Hn193fdy5bGlhk+8ECBAgcBAF3nAQz+3UBAgQIECAAAECBAgQIECAAAECBAgMYoHdu3fH6gce6HUF6x9/PHLH+EeAAAECB19AwHPwjV2BAAECZSiwNZZddEqMOL46+TojZtQ3luEYDYkAAQIECBAgQIAAAQIEDrXAqvtX9nkIS+74Wp+PcQABAgQI9F1AwNN3M0cQIECAAAECBAgQIECAAAECBAgQyITAK6+80uc6//7vf97nYxxAgAABAn0XEPD03cwRBAgQIECAAAECBAgQIECAAAECBAiUEPjPpv8s8YzNBAgQIDCQAgKegdR0LgIECBAgQIAAAQIECBAgQIAAAQIpEjj66KP7XM2o9763z8c4gAABAgT6LiDg6buZIwgQIECAAAECBAgQIECAAAECBAhkQmDCRyf2uc4r/s//6fMxDiBAgACBvgsIePpu5ggCBAgQIECAAAECBAgQIECAAAECmRAYNmxYvPe03s/IefuIEXHCiSdkwkaRBAgQONQCAp5D3QHXJ0CAAAECBAgQIECAAAECBAgQIFDGAl+/665485vf3OMI3/jGN8Y3Vvxtj/vZgQABAgQGRkDAMzCOzkIgxQJbY9lFp8SI46uTr4mxbEdTUmtzNDY8GEumXRwnt2zPPXdSfPCqebFsdUM09kWjeUdsWL4kFl51Zv4auXMlXydeHDO+9rexYce+bs7WYWwnT48NydCad2yIZR3HlTvP0g2xs7mb0+z3VIfzHn9GzKjPVdRa87IFk+ODbTX3Y5xt59vvou0bdiyNSwrXyNfV/mSXR6X8Tp8cC5c+GA2NfSq8y8k7/FjqOr3qU4fz5B42NsSapV+JGReNLNLzu2JNw54uB3T9caD70/X8fiZAgAABAgQIECBAgACBjgJHHHFErH9iQ5z0h3/YcXOnx7mZO/U/eCJyM378I0CAAIHXR+Cw1+cyrkKAQHoE9sXO1bPiihu+G7s7FdUUu9ffGfOSr9vu+XQs/uvpcU71kE57dP4hOc+6BXHdZ+6OZ3OZUdd/TZtj1fzc18I49ePz4/a/+nAcX9F1py4/N66L2Zd/Nlbt7nDC5DwPbnw1ptZ12bcvPybhxuOz/jKu/ebm6HDm1jO0jXNJjF10d3z10hHR0zD7cunS+/bgt3t9LJmTfC28Kz72N7fHzWOr+zmuHq7TVn9v+rQnGpbOjGvnrOvyu5OvsnCu+FLcO3FWfH7WhKip6oVmWfandOc8Q4AAAQIECBAgQIAAgcEokAt5Hvn+o/HjH/84Vn7r/njuuedaynjnO98ZEz/20fjABz4wGMsyZgIECAxqAQHPoG6fwRN4vQX+M155enFcN7truNN5HE2b744pl/9HLHv0r2J00T/Q50KiqUVCos7naf1pbzz7zeviin99LVbcMbGbkOef4/tz5nQOd1pOUBVnfvj0GFrs1L3a1hhPfW5Sct6e5iXtinU3fCYWvX1tTKs5vFdn7v9O+2L70ivjgjkb9w+cup40CU2+VXdlNC9fFfNrj+n6bA8/D2SffhMbpk2IyStf7OGauaeTnq+cGZdveTlW3HtdjCr6O1Q4TTn2pzA23wkQIECAAAECBAgQIJA+gVyQI8xJX19VRIDA4BSwRNvg7JtREzhEAjvioS/e2zLjpnLkxJi5vD627twR25OvrRuWx8yJI6OyMLLdD8RNc+uLLtfWvP0bceOM9pAod65pi9bEpvy5Cue76Zox0TqxO5kd9NgtcePyLclCaSX+7fthrHowCQ+GjYnPto3rhdi09ivxmTHHljioN5v3xe6WcOfIOHXijXHr2p+11FsYY6eaY2ssX/xo9LTAWG+u2t0+Ob/pCzuEO5UjY8Ls5bF+e2svtu/8WTyw8PI4ta0ZL8aqWV+KDX1crm3g+pQLpP40rukY7iR9mtKp57+M9cu/EFPGDG8r/f+zdzfgdZb1wcD/M2T2QssCEelmB40BVqZkhr5VxPHRAJUvhX4xkMmktFYcbiryVXBOJ6UfoExxUApF3ZBJKR9zfLyUpiB+VFiJljlKaQy4OoNYSCl6dcuVve85yTlp0uYk5yRPk/Pxy3Udc87z3Pf9/O/fffOA55/7fjo3Lo+/yjGHegtF8Y3Prti8I0CAAAECBAgQIECAAAECBAgQILD3BCR49p6tlgmUoUBHKtnRFROmL4mH710S85p2bftVVTct5i1dGXdc1JhJ8qSSMnddF7e0/HY3h/+K+xf9Q7R073WWSppc9K1Y/y9LYsGsxqjpUzLd3gWXL48HVl+cSVTsiJalX4r7t+VM8aRqHx4LbvpKfLo3rqqoafzT/Lb56nPtPd9OTG2/dm+sXvqXMbNx11qgnj7fGjedfUhvlc7nno+fDxZib8nhvunrl2pjwhmx7JFvx+L50/qsbqqNxrMXxeqHF0ZjNsnT/lB8a+1LBVy073VGOE4dT8SK2zb0rjaqbrg47np4eVzWb8zHxaSm8+Oy2+6Lu/rNoWticfPLQ8RdTOMzRKhOEyBAgAABAgQIECBAgAABAgQIEEhIQIInIUjNEKgYgQmz44tLZ/VJJvTteW1M+cyi+MxR4zMH2+KBR57tv+pm2/p46LuZ7c4mnhef+8x7+yV2+rYWqafG1Ey5KD437/Cew51PxUOPDZKkmNgUJzckvz1a9VHnx6Vn5Xq2zoFx3LmnRu+6k1+/Eh3/278XiX7q65eSa7r0ypiZ41lHVfWnx4eOy6bNOuIHP3quN8kyZEx9rzOiceqKbWtXxX3Z5yJVnxyLbh9s27XUHLr8xlh0YjbuF+O+O54YdFVUUY3PkLAKECBAgAABAgQIECBAgAABAgQIEEhGQIInGUetEKgQgeqYOGNWHDfYM1GqDosZ5x3du4pn6/efjv/s1Ul92f/Yw/FE9+qdVFsfOCkaqnpP5nizbzRMb8okUAZLUuTbXo7L5DxcHQe956gcCa2eSlU1B8T+Oesne6LzJz+KH3T7pdqtnhqnnjDY9nN/EDNva+ndUu6nS6ft2kJv0LCSHKf/jp9veTGTWEqN0bwFcWbtUIP+B3Hmxef0Js0GXxVVXOMzKKuTBAgQIECAAAECBAgQIECAAAECBBIU2CfBtjRFgEDZC9TF6dOPSK2rGeynKmqPmhqTY008ky62eUu0pRISk7q3Cuv7ZX9nbL1pdhx+02Bt7Xlu56Yt8YtIbUe2x6mq2P+A8UPEtkelPA68KQ4/9Pf3Qrt5XHqPIp3xi9RzdnZmjx9UH3WDJduy5Qr+neQ4dUTb5l9lIsjfsurgw+Lw1JzZmk5mvdQabannBzUOmBjKv82CGVQgQIAAAQIECBAgQIAAAQIECBAgUMQCVvAU8eAIjUDxCfxeHFCTfajLcKL7n+jY9tpwKu6qk0kY7Tqwt9+Ni9r9k9/2LZGoD0itHBo82zbMyyQ5Tq/HKy9nU1IFWO63f/Tmczo74pXXcu17V0Cbw9RQjQABAgQIECBAgAABAgQIECBAgEAxCkjwFOOoiIkAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgMIiALdoGwXGKAIHdBbbHKx3pPbMGX8XT1fFKvJqt+pYDoqY3lfy7UVO7X+pMe+o1Lo686v64b/7h2ZJ+FyrwSsq5K7X9XeKreJIcpzfHAQeOS/UsvYpnZ2x79bep3zVD9/S1V2Nbqm/dP9U1ccB+vZNo6LpKECBAgAABAgQIECBAgAABAgQIEKgAAd+YVcAg6yKB5AR+Fc//rGOI5rqi42et8VKmVPUfHRYH9yYg3hgHH3pIJj20Mzat//fYNkRr5Xc6m+TI3bPOti3x/ICnq+Nt9XWp1FjmJ/NsmuzHAX+3rYizJtVFfffr7Lg1/UCkIX+SHKeaqDv8rZkr/ib1SKZfRjZvkzuMrtj22MPxRDbUvfasodwROEOAAAECBAgQIECAAAECBAgQIECg2AUkeIp9hMRHoKgEOuKJOx6I1sG+oe96Pu69Y330fDdfE8eednTU9vahKmreXh8HZT53fndV3NuafT5Lb6Hd3qS+7F/90ZicSVJMvvCeEkwKZVexpLs2VJLj5fjewz/qXu+yG0T3x+o/eU8ck11A1flUPPRYNpU2UOmU3dNPxabsqYlTYsrB2crZgwP9TnKc+iaLOmPrrcvj/t6lOQNdO33spXj8wacycyi1XqxfkjBXHccJECBAgAABAgQIECBAgAABAgQIVJaABE9ljbfeEhixQOfTX41LrvthDLyOZ1tsuG5hXPf0jp7rVE+NU0/IpnN6DlU1nBkfPmp8z4fO9XHdp74WGzpyZ4y6WlfGgivWZL7sPyTOOu/YPgmjEXdnlBrYN/avza67SSU57l0d3x2wz6nVT81fjqvvejF3XLVHx6nHZbc464jmZdfGPW0DJ8m62lbHVcsey9hVx8QPnBQNvaupcl8ifSa5caqK2hPnxFkTMomlzjWx8IIbBhnz1BxacnEsXJudYaU65oP7OkuAAAECBAgQIECAAAECBAgQIEBgpAISPCMVVJ9AxQnsiGduWhAfuWxFrOtNLKQSEy33xNILz4qzb2rJJBTGR+Nln44za3fLKFQdFrMvPiMmZNw6N94YZ0+dGVfcfF+09E16dLTEPTdfHrNOWRQtma26qo86L+Yff2AJio+PhvccuevJRe13xkXnfzZWtezaoK6rbV3cvmRBnD73zmivPjAmHJhrpc0fxJkLPx6N2dPt/xqXTv+zuGLFunihN0+2LVpWL4mPnXt1rGnP4E2YHX+74F2x22jktkxynGqOjfkXTuntf/eYn7Iglq5u6ZMo3BkvNH9ztzmUWr1TsmOem9YZAgQIECBAgAABAgQIECBAgAABAkkI7JNEI9ogQKBSBMbHHze8NZ7f2BrP3LUo5qVeA/9Ux4TpV8d1cycPkFBIbf/V9Dfxzava4vRrMlu5dW6MVYs/1f0auL3U0QlnxKLrPxz1eWcocrY0BidSq1jOWhBzv/xYLN/ak3Dp3HhnXDEj9dojmnRibGGc/J0rY+nLmeTMbmWq6j8c1y3eGOdd8q/Rnj6X9rtmbuq1W8Hej4fEnEWfimk1heAlOU7jon7+V+Km5+ek5kxmdVL72lh+SfrVG+Qeb6obLo47Vs4t0THfozsOECBAgAABAgQIECBAgAABAgQIEEhUwAqeRDk1RqDcBd4U7/jEsrjxQw29qzH27PH4OPJDN8QdN50dk3LmE9Jf+N8eD6/4SByZXYmyZ0O9R6obPhLL71wWM+uy25z1niqdN1VT4pJ//GKcnN2qbMDIJ0bTVbfHrfP/eIDEWN8K42LSrGVxRz5+1Q1xzorb45qm4ax8SnKcDoxpS1fH3Ved3Lt6q2+P+r9PzaGzr407v/nJmFJQUqp/Kz4RIECAAAECBAgQIECAAAECBAgQKGcBK3jKeXT1jcDeEKiqi5MWfTsePumuuOuOFbF87daeq6QSCXMumRPvf//smJZXIiaVpDj5c3HfpvNj3Tceiae+/0+72upuMZXsuOjP45ip0+P8prohEh57o6PJt1lVd3bc/P2pqf7+a/zf+1bEqo2ZZxVFOqGxIM4/95yY2VibuvDmPC7e12/39lLVJ5wYCy48I06e84FoHFGSpO91RjpOtdE4/5b4/pzU9nurvhdPfqevQTbmE2LqSfnOoTyYFCkrgS3Pb4kdr2f/udmza5ufy+efnT3rOUKAAAECBAgQIECAAAECBAgQKEWB3/l/qZ/BAq+fVNd9uvWFtsGKOUeAQNkKbI5bP3hmXLtxZ6qHE2LOyodicVNN2fZWxwgQKE6BdHLn/SefnFdwf3bOObFo8bV5lVWIAAECBAgQIECAAAECBAgQIDDWAsPNw1jBM9Yj5/oECBAgQIDAkAKHHnZo/OUnPhH/8dOf5iy7ffv2eHrDhnjbxIk5yzhBgAABAgQIECBAgAABAgQIECgXAQmechlJ/SBAgAABAmUu8OlLPj1oD1taWmL2jJnxxjf+7qDlnCRAgAABAgQIECBAgAABAgQIlIPAG8qhE/pAgAABAgQIECBAgAABAgQIECBAgAABAgQIEKgkAQmeShptfSVAgAABAgQIECBAgAABAgQIECBAgAABAgTKQkCCpyyGUScIECBAgAABAgQIECBAgAABAgQIECBAgACBShKQ4Kmk0dZXAgQIECBAgAABAgQIECBAgAABAgQIECBAoCwE9imLXugEAQJ7UeDwmPcvz8a8vXgFTRMgQIAAAQIECBAgQIAAAQIECBAgQIBAYQJW8BTmpTQBAgQIECBAgAABAgQIECBAgAABAgQIECBAYMwFJHjGfAgEQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoTECCpzAvpQkQIECAAAECBAgQIECAAAECBAgQIECAAAECYy4gwTPmQyAAAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBhAhI8hXkpTYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAYcwEJnjEfAgEQIECAAAECBAgQIECAAAECBAgQIECAAAECBAoTkOApzEtpAgQIECBAgAABAgQIECBAgAABAgQIECBAgMCYC0jwjPkQCIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUJiABE9hXkoTIECAAAECBAgQIECAAAECBAgQIECAAAECBMZcQIJnzIdAAAQIjJpA14ZY+qeHR/2kw+P4JRuiq6ALd8YLK85O1a3r//rTJdFSWEOpq3bFttUfjcn92joizlqxuaCI8i/822hZ8v5dcQ8r5uzV+sc++cJ7Ylv2lN8ECBAgQIAAAQIECBAgQIAAAQIECIyagATPqFG7EAECYy3QtfHReGBrZyqMujh9+hFRlURAW5tjzcbfFtjSS/H4g09FOpLR+dk3GqY3xcTsxYYVc7Zy39hr4tjTjo7a7Cm/CRAgQIAAAQIECBAgQIAAAQIECBAYNQEJnlGjdiECBMZWoDP+8982xNZ0EOPeFVPfuW9C4bTFA488W9hqoG3r46HvdiR0/fyaqWo4KU6fWJ0pPIyYs5fpG/uEU+NDJx6UPeM3AQIECBAgQIAAAQIECBAgQIAAAQKjKCDBM4rYLkWAwFgKvBxPr3++O4Dq970nGrK5jmGGNO74E+N93W10xtbvPBob896mLbXF2WMPxxPdy3dqYsKEccOMoMBqVe+KCz91QvR0u9CYs9fqG3t1TJwxK46rSWQdVPYCfhMgQIAAAQIECBAgQIAAAQIECBAgkKeABE+eUIoRIFDiAr0rTxLaVuyg4+K042p6UAra8qzPFmcTp8eZ78u0sdd5q6L2hFPi2Gxia+tD8e3HXy7sql0/jtu+/Fhma7kEt7krLAqlCRAgQIAAAQIECBAgQIAAAQIECBBICUjwmAYECFSAQJ+VJ9VT49QTkthW7PfjhNOmZlbEFLDlWW+iKbUC5gMnxVGjuQCm9ug4NZuUihfjvjueiG0FjP6uZxhFVB81O2Y1JLXNXQFBKEqAAAECBAgQIECAAAECBAgQIECAQLeABI+JQIBABQj8d/x8y4s9K0+OmBpH1SaRVdmnz4qYfLc865NoivQKmHdEEpHkP4AHRdN5p8aETIXO7z4cj2/Ld2+538bGR5p7nmEUqVVQ550e9aMbfP7dVJIAAQIECBAgQIAAAQIECBAgQIBABQhI8FTAIOsigYoX6Ho21nynLcWQWjXzvqPiD5MC6bsiJq9t2vpuz9YUJxe6AqarLdatXB5LLzw26ifV7XoddmZccfM/xbq2nUP0rCpqjp8VZ07M7NPW+VQ89NhLQ9TJnO41TH1ObBVUfpdWigABAgQIECBAgAABAgQIECBAgACBPQUkePY0cYQAgTIT2LW1WNLPjTkoji9km7bdtmdryHsFzM54Yc3n46zJTTHvC4tj+dqt/Ueoc2OsWvzZmDft3XHWwgfjhcEW5VQdESd/oC5TvyOeeHB9Htu0pVYe3bc8Vm7tTNVLJcnmLYgzE1kF1b8bPhEgQIAAAQIECBAgQIAAAQIECBAgkL+ABE/+VkoSIFCSAn22Fps4jFUzg/a5qoBt2nbfnu2IPLdnSyV3Vl8a583/ejyTzq8M+rMjnvnWJ+O8i+4aJMmzbzTMnh2N2UU8eW3T1mflUffWcvnGPmiwTpa5QFfburj95svjrMP6rDab1BBnXfbVuL25LQbLQ5Y5je4RIECAAAECBAgQIECAAAECBBIRkOBJhFEjBAgUr0BHtG3+VXd41X90WByc96qZPHuU9zZtfZIkBSSaulr/MT5zxb9Geyac6oaz47Lr74kNL7RFa+a1ed3KuPqiEzPP1umM9ke+GJ9ZuSnnF+hV9afHh46r6Wkxn23aelcepaoUEHuegoqVm0BqK8FHF54Z75g2N764+K7dEpOpJORdX4ovzn1/HPfRwRKR5YaiPwQIECBAgAABAgQIECBAgACB5AUkeJI31SIBAsUk0JucqIljTzs6ahOPLc9t2nrjSG1x9oGTIr/t2f4r7l/0D9HSvXJnfBx50bdi/b8siQWzGiOTnunuTVXdtLjg8uXxwOqL48julTk7omXpl+L+bbnWSPSNeaht2vquPKqJpk99OBqTTpIlPiYaHDOBrta456LzY8G3NsbgC87Sicir47wr10THmAXrwgQIECBAgAABAgQIECBAgACB0haQ4Cnt8RM9AQKDCvRJTlRPjVNPOGjQ0sM7mc82bX3jmBIfnv2O/LZn600KpSKbeF587jPv7ZfY6R9vVdRMuSg+N+/wnsODrszpG3NE59rlcVvLb/s3l/3U9eO47cuP9XxZv9cMsxfzu7QFdkbryqtj4SOZZ0RVN8ScK/4ubl33bGa12ZbYcO/1seDEiZluppI8d10Ti5tfLu1ui54AAQIECBAgQIAAAQIECBAgMEYCEjxjBO+yBAiMhsCO2PijZ7qTE9XHnRLH1+6lpSd9t2l7qTXaOnZfObNre7bq4+bEjPpxeXS+T1Io8l31k3q+zvSm6Pn6vCN+8KPncq+iqD0lPp5NBkVbPPDIswNu6da18dF4YGt6LUZ1TJgxJ5r2lmEeIooUucC2B2Px0vWZOTc+Gi9bEtd87M9jWl12vqeSkI0z47Jbvh7LpmeTPC/GfXc8EduKvGvCI0CAAAECBAgQIECAAAECBAgUo4AETzGOipgIEEhGILVd1FM/SH91XB0HHX7IIKtfRnq5PlueDbRypnclTiHbxP13/HzLi5kvyztj602z4/BJfR9WP/D7w2fcHJn1E7Fz05b4Rc6u9U0Gpdr/zqOxcfe8VPw2Nj7SnGmvLs4893170TBnoE6UhMBvo+XW5dGc2Zet+qhPxJK5kwdeqVZVH2dedEYmEZlaQfbdh+PxnNsJlkTnBUmAAAECBAgQIECAAAECBAgQGBMBCZ4xYXdRAgRGQ2DX6pO6OH36EQN/2ZxIIH23PNv9mTZ9VuIUtMXZ/0THttdGFt3mLdE2yINQqhpOitMndj+0J2Jrc6zZuNs2bV3PxprvtPXEMLEpTm7Yd2TxqF2+An3nSioNeOx5p0f9IAvm+s29zmfiyZ/sKF8bPSNAgAABAgQIECBAgAABAgQI7CUBCZ69BKtZAgTGWqDP6pPRSE702aat/4qEvtuz7cVt4obDXfWuuPBTJ6TWN6V/dt+mLZWYum95rOzeni213dZfnBkNg3xhP5zLq1NGAh0vxvMvZbKJ46bHhz74B4N3rmpKXPa9zZln8/wwFjfVDF7eWQIECBAgQIAAAQIECBAgQIAAgT0E9tnjiAMECBAoC4GtseH7P0/1JN/n14y005lt2tauic7MNm0zZ6W+5B7W9mzpWH43amr3S/1uT73GxZFX3R/3zT88fSLBn+zKozWprbUy27R9Zko0didydiWmovro+NDMw/biCqgEu6SpMRHo/MmP4gfZ7dne955oyCwMG5NgXJQAAQIECBAgQIAAAQIECBAgUCECVvBUyEDrJoGKE9j27/GjZ3emuv2mOPzQ3x+F5EQ2WZKWzm7TNtzt2dJtvDEOPvSQzOqanbFp/b/vnQfR91l51G+btt7EVCpFdlyRrTxK8/gpIoHO+EVrW6T/aev/vKud8ULzP8Xyy86Myb3Pjzo83nfhtXHr6pbUPyV+CBAgQIAAAQIECBAgQIAAAQIERiIgwTMSPXUJEChSgZEkVkbQpdpj40MzDuluoGebtv+Kxx98KtILGwpPklRFzdvr46BMOJ3fXRX3tvZ8hZ47wlS/V3+098v0yRfek0dS6KBoOu/UmNDdaHabtj5+cXjMvfiUqM19UWcqXqAzXn1le0ahKvY/YHxUdfwwln7w3XHi3M/G0rs2dv8z0FOgM9rX3hLXXjIzjv7g9bGho6vi9QAQIECAAAECBAgQIECAAAECBIYrIMEzXDn1CBAoYoFd24sVnlgZSbcOjOPOPTUmpptIb9P2yLp48vvpdQqph86fdnTBSZKqhjPjw0eN7wmoc31c96mvDfqFeFfrylhwRWqLuO4ah8RZ5x2bxzVTiaTjZ8WZE9N7amW2aeva5Rej8fyinh7635IV+J/o2Pbaruhf+X4sPX9BLN+4Y9exAd51brwxzj7ls7FOkmcAHYcIECBAgAABAgQIECBAgAABAkMLSPAMbaQEAQKlJtD1y9jy3G9SUY+LyUe/M48kR3IdrGo4KU7vTpaktmn7+5tiXXrRTfXUOPWE7FqcAq5VdVjMvviMzOqaVPol/YX41Jlxxc33RUvfL8U7WuKemy+PWacsipbsc1COOi/mH39gfherOiJO/kBdT9mtzbGm+dF46LvpxNRoPb8ovzCVKgWBnfHMTV/oSe5UN8ScK74cd/94S7S+0Nbz+vE9seyKs+PI7DN62u+Oqxc1266tFIZWjAQIECBAgAABAgQIECBAgEDRCexTdBEJiAABAiMU6Nr4aDywNZ3pqItj/k/3epoRtlhA9UyyZPlNm6OzvT1+nao6/FVEqdU1TX8T37yqLU6/Zn3PypzOjbFq8ae6XzmjmnBGLLr+w1FflbPEbif2jYbpTTExFfPWaIvVn70xtnfvK3dC/PW8d43C84t2C8fH0hdIzcFldy6LmXXj+velpjFmfqwhmg6vitPn3hntqVndftd1ccu574vLGvftV/bBBx6Me1av7ndsqA/bt/dsFffrl9P/5PkhQIAAAQIECBAgQIAAAQIECJS3gARPeY+v3hGoQIHfxsZHmlOJitTPmGwv1jdZkg5ieNuzpWv2/IyL+vm3x8OTlsQnP/71eCazQid7dvff1Q0fiRv//vI4afcv1ncvuNvnqsYPx1+f+M9x6dqO+HX7y91nh5+Y2q1xHytMoCaaLr1yz+ROr0I6cXlxXHLiQ93zLVJJxQceeTYuaZzSL5n41JNPxrrm5t5ahbx57bU+W8YVUlFZAgQIECBAgAABAgQIECBAgEAJCUjwlNBgCZUAgTwEup6NNd9pSxUcu+3FerZpuy2Wp1cRDXd7tn5dHReTTv5c3Lfp/Fj3jUfiqe//Uyxf253CypSaGE0X/XkcM3V6nN9U1+9L8n7NDPrhoDj+tKlRvbbQZ/gM2qiTFSHwu1FTu1+qp+09vR03PT70wT8Youd951tnvLT5xdQ2bVP6baf4uc//baRfhfy0tLTE7Bkz4+31by+kmrIECBAgQIAAAQIECBAgQIAAgZIUkOApyWETNAECOQWqpsRl39scl+UsMNwT1TFp/l3ROj+P+nnHUBPTlv4wWpfm0Wa6SFVdTJu7oPuVfP+qonbWLbFpVp6xKEagV6A69j/g93o/xeGHRl32GTu7ju72rir223//7mRkelFa58vbYkfqd+1upXwkQIAAAQIECBAgQIAAAQIECBDILfCG3KecIUCAAAECBAgMJVAdb6uvi96n7bzySrzaNVQd5wkQIECAAAECBAgQIECAAAECBEYqIMEzUkH1CRAgQIBAhQtU/8l74pjsqp2XWqOtY6gMT1e89uqrkS01bvKh8bYKN9R9AgQIECBAgAABAgQIECBAgEChAhI8hYopT4AAAQIECPQXqD06Tj2upudY52Px97f+uDd5079g9tNL8fiDT0V6e7aImjjmPX+UemqWHwIECBAgQIAAAQIECBAgQIAAgUIEJHgK0VKWAAECBAgQGEDgoDj+tKmZJE1nbL31mrh+w7YByqUPdUVH841x/dqOnvPVU+PUEw7KUdZhAgQIECBAgAABAgQIECBAgACBXAISPLlkHCdAgAABAgTyFKiK2rM+HZ85anxP+c6WWH7O3Lhixbp4IbsPW/pMR0vcs2RBnD73zmjvLjk+Gi/7dJxZW9VTz/8SIECAAAECBAgQIECAAAECBAjkLbBP3iUVJECAAAECBAjkEqiaHBdcf3X827lXx5r21OZrnRtj1TVzU69cFapjwvSr47q5k0N6J5eR4wQIECBAgAABAgQIECBAgACB3AJW8OS2cYYAAQIECBAoQKCq7uy4+eE748oTJw5Ra3wc+aEb4o6bzo5JsjtDWDlNgAABAgQIECBAgAABAgQIEBhYwAqegV0cJUCAAAECBIYjUDMl5t22Jk5qvjsefeqxuP2mtZnt2NKNTYymi86PU6fPjJmNtcNpXR0CBAgQIECAAAECBAgQIECAAIGMgASPqUCAAAECBAgkLDAuJjX9ecxLvy5PuGnNESBAgAABAgQIECBAgAABAgQIdAvYos1EIECAAAECBAgQIECAAAECBAgQIECAAAECBAiUmIAET4kNmHAJECBAgAABAgQIECBAgAABAgQIECBAgAABAhI85gABAgQIECBAgAABAgQIECBAgAABAgQIECBAoMQEJHhKbMCES4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBCQ4DEHCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIlJiDBU2IDJlwCBAgQIECAAAECBAgQIECAAAECBAgQIECAgASPOUCAAAECBAgQIECAAAECBAgQIECAAAECBAgQKDEBCZ4SGzDhEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQkeMwBAgQIECBAgAABAgQIECBAgAABAgQIECBAgECJCUjwlNiACZcAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgIMFjDhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIESkxAgqfEBky4BAgQIECAAAECBAgQIECAAAECBAgQIECAAAEJHnOAAAECBAgQIECAAAECBAgQIECAAAECBAgQIFBiAhI8JTZgwiVAgAABAgQIECBAgAABAgQIECBAgAABAgQISPCYAwQIECBAgAABAgQIECBAgAABAgQIECBAgACBEhOQ4CmxARMuAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQECCxxwgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJSYgARPiQ2YcAkQIECAAAECBAgQIECAAAECBAgQIECAAAECEjzmAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgxAQkeEpswIRLgAABAgQIECBAgAABAgQIECBAgAABAgQIEJDgMQcIECBAgAABAgQIECBAgAABAgQIECBAgAABAiUmIMFTYgMmXAIECBAgQIAAAQIECBAgQIAAAQIECBAgQICABI85QIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoMQEJnhIbMOESIECAAAECBAgQIECAAAECBAgQIECAAAECBCR4zAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQIkJSPCU2IAJlwABAgQIECBAgAABAgQIECBAgAABAgQIECCwDwICBAgQIECAQCkIfPufvx07dryWM9RfbP1F97n//u//yVnGCQIECBAgQIAAAQIECBAgQIBAuQhI8JTLSOoHAQIECBAoY4Etz2+JhVdckVcP/+M//iOvcgoRIECAAAECBAgQIECAAAECBEpZQIKnlEdP7AQIECBAoEIEDj3s0Pi/a9bEjtd35Ozx5uc2dyeBGhvflbOMEwQIECBAgAABAgQIECBAgACBchGQ4CmXkdQPAgQIECBQ5gLpJI8fAgQIECBAgAABAgQIECBAgACBHoE3gCBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECgtAQme0hov0RIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEQoLHJCBAgAABAgQIECBAgAABAgQIECBAgAABAgQIlJiABE+JDZhwCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQISPOYAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDEBCR4SmzAhEuAAAECBAgQIECAAAECBAgQIECAAAECBAgQkOAxBwgQIECAAAECBAgQIECAAAECBAgQIECAAAECJSYgwVNiAyZcAgQIECBAgAABAgQIECBAgAABAgQIECBAgIAEjzlAgAABAgQIECBAgAABAgQIECBAgAABAgQIECgxAQmeEhsw4RIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEJHjMAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAiQlI8JTYgAmXAAECBAgQIECAAAECBAgQIECAAAECBAgQICDBYw4QIECAAAECBAgQIECAAAECBAgQIECAAAECBEpMQIKnxAZMuAQIECBAgAABAgQIECBAgAABAgQIECBAgAABCR5zgAABAgQIECBAgAABAgQIECBAgAABAgQIECBQYgISPCU2YMIlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECEjwmAMECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgRITkOApsQETLgECBAgQIECAAAECBAgQIECAAAECBAgQIEBAgsccIECAAAECBAgQIECAAAECBAgQIECAAAECBAiUmIAET4kNmHAJECBAgAABAgQIECBAgAABAgQIECBAgAABAhI85gABAgQIECBAgAABAgQIECBAgAABAgQIECBAoMQEJHhKbMCES4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBCQ4DEHCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIlJiDBU2IDJlwCBAgQIFCaAl3R0bww3jepLuonvTeuaO4ozW6ImgABAgQIECBAgAABAgQIECBQJAISPEUyEMIgQIAAAQLlLNDVujLmLbgz2su5k/pGgAABAgQIECBAgAABAgQIEBhFAQmeUcR2KQIECBAgUJECXZvi9ku/Gi2dFdl7nSZAgAABAgQIECBAgAABAgQI7BUBCZ69wqpRAgQIECBAoEdgZ7Su/Hxc9/QOIAQIECBAgAABAgQIECBAgAABAgkKSPAkiKkpAgQIECBAoK9A+rk7X4jzr1kfFu/0dfGeAAECBAgQIECAAAECBAgQIDByAQmekRtqgQABAgQIEBhIoKM5Fi+8u+e5OxNOjjknHjhQKccIECBAgAABAgQIECBAgAABAgSGISDBMww0VQgQIECAAIGhBF6OdYuuiVXtqbU71UfHlXd8Id5fWzVUJecJECBAgAABAgQIECBAgAABAgTyFJDgyRNKMQIECBAgQCBfgdRzd1b8VVx014upCuOj8bLPxQX14/KtrBwBAgQIECBAgAABAgQIECBAgEAeAhI8eSApQoAAAQIECOQv0NX6j3H50p7n7lQf9YlYMndyWLuTv5+SBAgQIECAAAECBAgQIECAAIF8BCR48lFShgABAgQIEMhPoGtT3H7pV6MltTNbemu2zyz7cNTL7uRnpxQBAgQIECBAgAABAgQIECBAoAABCZ4CsBQlQIAAAQIEBhNIPXfnyo/FtU/vSBU6JOYs/0rMszXbYGDOESBAgAABAgQIECBAgAABAgSGLSDBM2w6FQkQIECAAIFdAl3R0fzluLr7uTvVMeHsq+KKpgN3nfaOAAECBAgQIECAAAECBAgQIEAgUYF9Em1NYwQIECBAgEBlCnQ0x+KFd0d7uvcTZscXFzZFzQgkXn/99Xj++ecLamHzc5sLKq8wAQIECBAgQIAAAQIECBAgQKCUBSR4Snn0xE6AAAECBIpBIPXcnVvnXhKr2lMP3qlujAVfuySm1YzswTsX/MVfxNMbnh5W737W+rNh1VOJAAECBAgQIECAAAECBAgQIFBKAhI8pTRaYiVAgAABAkUnsDNaV34+rut+7s74aLxsUVwypXbEUV4w98L4vd8rbA3Q9u3bU0mhDfG2iRNHfH0NECDDJ/FRAABAAElEQVRAgAABAgQIECBAgAABAgSKXUCCp9hHSHwECBAgQKCIBbpa/zEuX7o+Umt3ovqoT8SSuZNjZGt3ejp72umnRfpVyE9LS0vMnjEz3vjG3y2kmrIECBAgQIAAAQIECBAgQIAAgZIUkOApyWETNAECBAgQKAaBzvjP5jXRks7upH46n14U0+sX9XwY9H/bY9XcxliVLdOwMNb+y/yYlP3sNwECBAgQIECAAAECBAgQIECAwJACbxiyhAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJFJSDBU1TDIRgCBAgQIECAAAECBAgQIECAAAECBAgQIECAwNACtmgb2kgJAgQIECBAYECB6pg0/65onT/gyd0OdsS6y06NeXe1p45PiDkrH4rFTTW7lfGRAAECBAgQIECAAAECBAgQIEAgXwErePKVUo4AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCQCEjxFMhDCIECAAAECBAgQIECAAAECBAgQIECAAAECBAjkKyDBk6+UcgQIECBAgAABAgQIECBAgAABAgQIECBAgACBIhGQ4CmSgRAGAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBfAQmefKWUI0CAAAECBAgQIECAAAECBAgQIECAAAECBAgUicA+RRKHMAgQIECAAIGyFqiJaUt/GK1Ly7qTOkeAAAECBAgQIECAAAECBAgQGDUBK3hGjdqFCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCEjwJOOoFQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIDAqAlI8IwatQsRIECAAAECBAgQIECAAAECBAgQIECAAAECBJIRkOBJxlErBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFRE5DgGTVqFyJAgAABAgQIECBAgAABAgQIECBAgAABAgQIJCMgwZOMo1YIECBAgAABAgQIECBAgAABAgQIECBAgAABAqMmIMEzatQuRIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBIRkCCJxlHrRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIERk1AgmfUqF2IAAECBAgQIECAAAECBAgQIECAAAECBAgQIJCMgARPMo5aIUCAAAECBAgQIECAAAECBAgQIECAAAECBAiMmoAEz6hRuxABAgQIECBAgAABAgQIECBAgAABAgQIECBAIBkBCZ5kHLVCgAABAgQIECBAgAABAgQIECBAgAABAgQIEBg1AQmeUaN2IQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAMgISPMk4aoUAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgMGoCEjyjRu1CBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFkBCR4knHUCgECBAgQIECAAAECBAgQIECAAAECBAgQIEBg1AQkeEaN2oUIECBAgAABAgQIECBAgAABAgQIECBAgAABAskISPAk46gVAgQIECBAgAABAgQIECBAgAABAgQIECBAgMCoCUjwjBq1CxEgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEkhGQ4EnGUSsECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgVETkOAZNWoXIkCAAAECBAgQIECAAAECBAgQIECAAAECBAgkIyDBk4yjVggQIECAAAECBAgQIECAAAECBAgQIECAAAECoyYgwTNq1C5EgAABAgQIECBAgAABAgQIECBAgAABAgQIEEhGQIInGUetECBAgAABAgQIECBAgAABAgQIECBAgAABAgRGTUCCZ9SoXYgAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyABE8yjlohQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECIyawD6jdiUXIkCAAAECBAgMU+D111+Pz332s7F9+2s5W9i+fXv3uV+//OucZZwgQIAAAQIECBAgQIAAAQIECJSLgARPuYykfhAgQIAAgTIWSCd4Hn/88Xj1lVeH7OVrr+VOAg1ZWQECBAgQIECAAAECBAgQIECAQIkISPCUyEAJkwABAgQIVLLAhAkT4t+efnpQgpaWlpg9Y2a8vf7tg5ZzkgABAgQIECBAgAABAgQIECBQDgKewVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlIAET0UNt84SIECAAAECBAgQIECAAAECBAgQIECAAAEC5SAgwVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlIAET0UNt84SIECAAAECBAgQIECAAAECBAgQIECAAAEC5SAgwVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlIAET0UNt84SIECAAAECBAgQIECAAAECBAgQIECAAAEC5SAgwVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlIAET0UNt84SIECAAAECBAgQIECAAAECBAgQIECAAAEC5SAgwVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlIAET0UNt84SIECAAAECBAgQIECAAAECBAgQIECAAAEC5SAgwVMOo6gPBAgQIECAAAECBAgQIECAAAECBAgQIECAQEUJSPBU1HDrLAECBAgQIECAAAECBAgQIECAAAECBAgQIFAOAhI85TCK+kCAAAECBAgQIECAAAECBAgQIECAAAECBAhUlMA+FdVbnSVAgAABAgT2ukBX27r45qPr4we33R7N7Z27rlfdEHMuOSve/Z4PxszG2l3HvSNAgAABAgQIECBAgAABAgQIEChYQIKnYDIVCBAgQIAAgQEFutri0c9+Mi7+1sbok9bZVbRzY6xanHrFtXH9iZfGjdfPjcaaql3nvSNAgAABAgQIECBAgAABAgQIEMhbwBZteVMpSIAAAQIECOQU6GqNey46PxbkSu70q9gZ7WsXxblzV0ZrV78TPhAgQIAAAQIECBAgQIAAAQIECOQpIMGTJ5RiBAgQIECAQC6BndG68upY+MjWTIHqmHDiR+Pqlc2x+YW2aO1+PRtrVy6MOQ3jexvpfHpZzL1uQ8jx9JJ4Q4AAAQIECBAgQIAAAQIECBDIW0CCJ28qBQkQIECAAIEBBbp+Gqu/sSGzLdv4OPKib8QDt10ZFzTVxa4N2MbFpKb5sfjee2PZ9ImZZjpj663L4/5tUjwDujpIgAABAgQIECBAgAABAgQIEBhEQIJnEBynCBAgQIAAgaEFujY+Gg9szTx1Z+J58bnPvDdqclWrqo+Z134qmqozBTqfiSd/siNXaccJECBAgAABAgQIECBAgAABAgRyCEjw5IBxmAABAgQIEMhHoCs6ftYaL2WKjjvm3fHOXct2Bm6g9ug49bhsCqgjNrX+auByjhIgQIAAAQIECBAgQIAAAQIECOQU2CfnGScIECBAgAABAkMKVEXtrFti06whC/YpsG/sXzuuz2dvCRAgQIAAAQIECBAgQIAAAQIEChWwgqdQMeUJECBAgACBEQr8Klo3dWTaqInJ9W8dYXuqEyBAgAABAgQIECBAgAABAgQqT0CCp/LGXI8JECBAgMDYCmz79/jRszt7Yqg+Mt79J+PHNh5XJ0CAAAECBAgQIECAAAECBAiUoIAETwkOmpAJECBAgEDpCrwc65Z8JZo70z2ojgkz5kRT7VAP7Snd3oqcAAECBAgQIECAAAECBAgQILC3BCR49pasdgkQIECAAIHdBLqio/nLcfVdL/Ycr54SFyw4Nmp2K+UjAQIECBAgQIAAAQIECBAgQIDA0AISPEMbKUGAAAECBAiMWCCV3NlwQ3xkwZ3R3t3WITFn+VdiXv24EbesAQIECBAgQIAAAQIECBAgQIBAJQrsU4md1mcCBAgQIEBgNAUyyZ1zboxnurdmGx9HXnRtXNF0YM4gtjy/JR57bF3O8wOd+MXWXwx02DECBAgQIECAAAECBAgQIECAQFkKSPCU5bDqFAECBAgQKBaBgZI7y+Prl7930K3ZFl97baxrbh5WJ579j2eHVU8lAgQIECBAgAABAgQIECBAgEApCUjwlNJoiZUAAQIECJSUwM54Yc2S+OTHv95n5c7QyZ10F2/4yt/HP995Z0G9Ta/g+eY3vhFH/PERBdVTmAABAgQIECBAgAABAgQIECBQigISPKU4amImQIAAAQJFL7AtWlZcGRdfsybzzJ2JcfL1X4+vzaqPqjxif/Ob3xzz5s/Po+SuIi0tLd0Jnl1HvCNAgAABAgQIECBAgAABAgQIlK+ABE/5jq2eESBAgACBsRHo2BC3XvLJuHbt1p7rVzfEOf9wQ3zh5Lq8kjtjE7SrEiBAgAABAgQIECBAgAABAgRKS0CCp7TGS7QECBAgQKCIBVLP22lZGZdetCya2zt74pxwRiy7c1nMrBtXxHELjQABAgQIECBAgAABAgQIECBQegISPKU3ZiImQIAAAQJFKJBK7my4IT5yzo2Z5+1EVDdcHHd885MxpSafTdmKsEtCIkCAAAECBAgQIECAAAECBAgUsYAETxEPjtAIECBAgECpCHS1rox5vcmd6pgw/Ytxx01nxyS5nVIZQnESIECAAAECBAgQIECAAAECJSbwhhKLV7gECBAgQIBAsQl0bYrbL/1qtGR2Zas+6tL4puROsY2SeAgQIECAAAECBAgQIECAAIEyE7CCp8wGVHcIECBAgMDoCnTFtvu+FNc9vaP3sp1PL4rp9Yt6Pw/5pmFhrP2X+TFpyIIKECBAgAABAgQIECBAgAABAgQIZAWs4MlK+E2AAAECBAgMQ+ClePzBpyKzeGcY9VUhQIAAAQIECBAgQIAAAQIECBAYjoAEz3DU1CFAgAABAgR6BDqfiye/30GDAAECBAgQIECAAAECBAgQIEBglAVs0TbK4C5HgAABAgTKSqB6Wize1BaLy6pTOkOAAAECBAgQIECAAAECBAgQKH4BK3iKf4xESIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDoJyDB04/DBwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA8QtI8BT/GImQAAECBAgQIECAAAECBAgQIECAAAECBAgQINBPQIKnH4cPBAgQIECAAAECBAgQIECAAAECBAgQIECAAIHiF5DgKf4xEiEBAgQIECBAgAABAgQIECBAgAABAgQIECBAoJ+ABE8/Dh8IECBAgAABAgQIECBAgAABAgQIECBAgAABAsUvIMFT/GMkQgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAPwEJnn4cPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEil9Agqf4x0iEBAgQIECAAAECBAgQIECAAAECBAgQIECAAIF+AhI8/Th8IECAAAECBAgQIECAAAECBAgQIECAAAECBAgUv4AET/GPkQgJECBAgAABAgQIECBAgAABAgQIECBAgAABAv0EJHj6cfhAgAABAgQIECBAgAABAgQIECBAgAABAgQIECh+AQme4h8jERIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE+glI8PTj8IEAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUPwCEjzFP0YiJECAAAECBAgQIECAAAECBAgQIECAAAECBAj0E5Dg6cfhAwECBAgQIECAAAECBAgQIECAAAECBAgQIECg+AUkeIp/jERIgAABAgQIECBAgAABAgQIECBAgAABAgQIEOgnIMHTj8MHAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDxC0jwFP8YiZAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0E9Agqcfhw8ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgeIXkOAp/jESIQECBAgQIECAAAECBAgQIECAAAECBAgQIECgn4AETz8OHwgQIECAAAECBAgQIECAAAECBAgQIECAAAECxS8gwVP8YyRCAgQIECBAgAABAgQIECBAgAABAgQIECBAgEA/AQmefhw+ECBAgAABAgQIECBAgAABAgQIECBAgAABAgSKX0CCp/jHSIQECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgX4CEjz9OHwgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBS/gARP8Y+RCAkQIECAAAECBAgQIECAAAECBAgQIECAAAEC/QT26ffJBwIECBAgQIBAEQq0t7fHGaedFq++8uqQ0f2s9WdDllGAAAECBAgQIECAAAECBAgQIFDqAhI8pT6C4idAgAABAhUg8OY3vzmOP/742L79tZy93b59ezy9YUPst99+Ocs4QYAAAQIECBAgQIAAAQIECBAoFwEJnnIZSf0gQIAAAQJlLJBO8Fz/5S8P2sOWlpaYPWNmvOXAtwxazkkCBAgQIECAAAECBAgQIECAQDkIeAZPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFECEjwVNdw6S4AAAQIECBAgQIAAAQIECBAgQIAAAQIECJSDgARPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFECEjwVNdw6S4AAAQIECBAgQIAAAQIECBAgQIAAAQIECJSDgARPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFECEjwVNdw6S4AAAQIECBAgQIAAAQIECBAgQIAAAQIECJSDgARPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFECEjwVNdw6S4AAAQIECBAgQIAAAQIECBAgQIAAAQIECJSDgARPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFECEjwVNdw6S4AAAQIECBAgQIAAAQIECBAgQIAAAQIECJSDgARPOYyiPhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVJSDBU1HDrbMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAOQhI8JTDKOoDAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFEC+1RUb3WWAAECBAgQ2PsCHS1xz6rvxZPfWRGrNu7Ydb0JJ8aCC0+IqSfNjml143Yd944AAQIECBAgQIAAAQIECBAgQKBgAQmegslUIECAAAECBAYW2BkvrFkSn/z41+OZzgFKtK+N5dekX8uj6aobYtn8KVEzQDGHCBAgQIAAAQIECBAgQIAAAQIEhhawRdvQRkoQIECAAAECQwp0RUfzF+K8+TmSO/3qb43may6IeSs2RVe/4z4QIECAAAECBAgQIECAAAECBAjkKyDBk6+UcgQIECBAgEBuga4fxy1/c3e0Z0tUN8Scq1bG2ta2aH0h/fq3uPv6j0XThOpMiR3RsvRLcf82KZ4smd8ECBAgQIAAAQIECBAgQIAAgUIEJHgK0VKWAAECBAgQGECgK7bdtzxWbs3syzbhjFj2yLdj8fxpMakqW7w2GmddHjff+cU4OZvk6XwqHnrspWwBvwkQIECAAAECBAgQIECAAAECBAoQkOApAEtRAgQIECBAYCCBl+LxB5+KnvROdUyc8ZE4s27cQAWjqm5WXHPpCdGzjqcjnnhwfWwbsKSDBAgQIECAAAECBAgQIECAAAECgwlI8Aym4xwBAgQIECAwtEDXL2PLc7/JlKuL06cfEb0Ld/aoXRW1J5wSx2Z2auv87sPxuG3a9lBygAABAgQIECBAgAABAgQIECAwlIAEz1BCzhMgQIAAAQKDC/z86fhBdnu2ce+Kqe/cd/DytUfHqcfV9JTpfCae/MmOwcs7S4AAAQIECBAgQIAAAQIECBAgsIeABM8eJA4QIECAAAEChQh0tm2J57MVDj806jKrc7KH9vy9b+xfm93CrSM2tf5qzyKOECBAgAABAgQIECBAgAABAgQIDCogwTMoj5MECBAgQIDA4AJd8dqrr0ZXptC4yYfG2wavkDr7pqg77A8zpbri1Vd29NYfsqoCBAgQIECAAAECBAgQIECAAAEC3QISPCYCAQIECBAgMAKB/40dr3RE57Bb6Ixfb3st/nfY9VUkQIAAAQIECBAgQIAAAQIECFSmgARPZY67XhMgQIAAgTEUeEOMP6AmhtzJbQwjdGkCBAgQIECAAAECBAgQIECAQLELSPAU+wiJjwABAgQIlJ1AVey3//5RVXb90iECBAgQIECAAAECBAgQIECAwOgJ7DN6l3IlAgQIECBAgEBaoP9zewYyefCBB+Oe1asHOpXz2Pbt27vPrbxtZaz/4fqc5ZwgkJTAb37zm2hvb4/6+vqkmtQOgUEFWltbY8KECfGmN71p0HJOEkhCwD0uCUVtFCLgHleIlrIjFajUe9zv/d5+8fm/+7t485vfPFJC9QkQKBIBCZ4iGQhhECBAgACByhEY+rk9Tz35ZKxrbh4WyUupL9zTLz8ERkvg5y++OFqXch0CYb6ZBKMtYM6NtnhlX898q+zxH4veV9qc2/+A/eP111+X4BmLyeaaBPaSgATPXoLVLAECBAgQqAyBXc/T6RxWh6vjLbX7xe57xn7u838b6VchPy0tLTF7xsy48qqFMW/+/EKqKktgWALz5l7YnYhsfaFtWPVVIlCIgHtcIVrKJiHgHpeEojbyFXCPy1dKuaQEsve4u++9JxobG5NqVjsECBAYdYHdv08Z9QBckAABAgQIEChlgf7P09m5aUv8YsjudMarr/RspxapJ/Hsf8B4z+MZ0kwBAgQIECBAgAABAgQIECBAgEB/AQme/h4+ESBAgAABAgUKVNcdGodl67zySrzalf2Q63dHtG3+VeZkTUyuf2uugo4TIECAAAECBAgQIECAAAECBAjkEJDgyQHjMAECBAgQIJCnwMFHxTETq3sKb90QG34+xGZtXb+MLc/9JtP4H8ahdR4Wnqe0YgQIECBAgAABAgQIECBAgACBXgEJnl4KbwgQIECAAIFhCVTVx9RjajNVN8XDj7ZG7kU8XdHx+Oq4f2smCTRxSkw5OJMcGtbFVSJAgAABAgQIECBAgAABAgQIVKaABE9ljrteEyBAgACBBAXGR+Mp02JCd4s7omXp5+P21p0Dt9/RHIsX3h3t3WerY+IHToqGqoGLOkqAAAECBAgQIECAAAECBAgQIJBbQIInt40zBAgQIECAQF4CVVFz/Kw4M7tNW+f6uPaUP4srVqyLF3qX8myLltVLYv4pfxmr2jOrd6pPiL+e966Q38kLWSECBAgQIECAAAECBAgQIECAQD+Bffp98oEAAQIECBAgMByBqnfFR78wO+6fe2fP6pzOjbHqmrmpV67GUqt+Lvt0nFkrvZNLyHECBAgQIECAAAECBAgQIECAwGACVvAMpuMcAQIECBAgkKdAahVP0yVx41UnZ7ZqG6zaxGi66va4df5kq3cGY3KOAAECBAgQIECAAAECBAgQIDCIgBU8g+A4RYAAAQIECBQiUBuN82+J789piXtWfS+e/M6KWLVxx64GJpwYCy48IaaeNDum1Y3bddw7AgQIECBAgAABAgQIECBAgACBggUkeAomU4EAAQIECBAYVKCmMWbOT78+EYsHLegkAQIECBAgQIAAAQIECBAgQIDAcAVs0TZcOfUIECBAgAABAgQIECBAgAABAgQIECBAgAABAmMkIMEzRvAuS4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAYroAt2oYrpx4BAgQIECBQVAKNjY1x5VUL45xzzy2quARTvgJXXHllzJw1q3w7qGdFJZC+x/3lJz4RJ5wwrajiEkz5CqTvcX/8jneUbwf1rKgE3OOKajgqIpjsPS499/wQIECglAV+5/+lfgbrQP2kuu7TrS+0DVbMOQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgQIFhpuHsUVbgdCKEyBAgAABAgQIECBAgAABAgQIECBAgAABAgTGWkCCZ6xHwPUJECBAgAABAgQIECBAgAABAgQIECBAgAABAgUKSPAUCKY4AQIECBAgQIAAAQIECBAgQIAAAQIECBAgQGCsBSR4xnoEXJ8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUKCABE+BYIoTIECAAAECBAgQIECAAAECBAgQIECAAAECBMZaQIJnrEfA9QkQIECAAAECBAgQIECAAAECBAgQIECAAAECBQpI8BQIpjgBAgQIECBAgAABAgQIECBAgAABAgQIECBAYKwFJHjGegRcnwABAgQIECBAgAABAgQIECBAgAABAgQIECBQoMA+BZZXnAABAgQIECBQPAIdLXHPqu/Fk99ZEas27tgV14QTY8GFJ8TUk2bHtLpxu457RyCnwG+jZcmMmH3T5pwldj8x7uyV8eOl06J69xPZz+ZnVqJif3e1LImmGTfH1nFnx63PLIlpOSfLAERJz5+k2xsgZIfGXmB4c879b+xHrjQi6GpbF998dH384Lbbo7m9c1fQ1Q0x55Kz4t3v+WDMbKzddXyod0nel5Jsa6i4nR81geTmnPvcqA2aCxEgMOoCv/P/Uj+DXbV+Ul336dYX2gYr5hwBAgQIECBAYBQFdsYLa5bEJz/+9Ximz/cLewYwMZquuiGWzZ8SNXuedIRAH4HNcesHz4xrN+7sc2zwt7kTPObn4HIVcrbjh7H0/AWxPJ18LijBk/T8Sbq9Chm/UuzmsOec+18pDveoxtzVFo9+9pNx8bc2xqD/2ZX6k4cJJ14aN14/NxprqgYJMcn7UpJtDRKyU6MrkPicc58b3QF0NQIEhiMw3DyMLdqGo60OAQIECBAgMIYCXdHR/IU4b/5QyZ10iFuj+ZoLYt6KTdE1hhG7dAkIbPv3+NGz+Sd3cvfI/MxtU0Fnulrjnssu60nuFNTtpOdP0u0V1BmFR1Ng2HMuFaT732iOVOldKz23Ljo/FgyZ3El3rTPa1y6Kc+eujNac/+GV5H0pybZKb2jKNuLE51xKyn2ubKeLjhEgECHBYxYQIECAAAECpSXQ9eO45W/ujvZs1OltQa5aGWtb2yK94rj1hX+Lu6//WDRNyO6FtCNaln4p7t+W85uGbEt+V7BA18+fj83ZP0ue+LG4u3c+ZefVnr9/OtD2bOZnBc+iTNfTqyhmzIhLH9lauEXS8yfp9grvkRqjITCSOZeKz/1vNAapVK+xM1pXXh0Le+9n6RU6H42rVzbH5u7/5kr/u/HZWLtyYcxpGN/byc6nl8Xc6zYM/Mc1Sd6XkmyrN3pvxlZgL8y5VIfc58Z2VF2dAIG9KyDBs3d9tU6AAAECBAgkKtAV2+5bHiu3Zr6Jn3BGLHvk27F4/rSY1LsTSG00zro8br7zi3FyNsnT+VQ89NhLiUaisXISSP0F8M9aIztDqv/osDi4dz4V0k/zsxCt8iubmkctK2L+KX8xjJU7aY2k50/S7ZXfiJV+j0Y653rmnftf6c+EvdaDrp/G6m9syGzLNj6OvOgb8cBtV8YFTXWx61+T42JS0/xYfO+9sWz6xEwonbH11uUD/HFNkvelJNvaa4IaLlQg8TmXDsB/5xU6DMoTIFBaAhI8pTVeoiVAgAABAhUu8FI8/uBTmS8aqmPijI/EmXXjBjSpqpsV11x6Qmo3+PRPRzzx4PrYNmBJBwnsiI0/eiYzr8bF5KPfGQU8IroPn/nZB6Oy3qYe7r3qsplx9IxFvQ8er35HQ/xxdiFhXhpJz5+k28urEwqNlkAicy4drPvfaA1ZKV6na+Oj8UD2j2omnhef+8x7cz/TsKo+Zl77qWjK3vc6n4knf5J6Blm/nyTvS0m21S9IH8ZQIPk5l+6M+9wYDqlLEyAwCgISPKOA7BIECBAgQIBAQgJdv4wtz/0m01hdnD79iD5/Qbr7Naqi9oRT4tjMFw2d3304HrdN2+5IPncL/CpaN3VkLA6OY/5P9i+QC+QxPwsEK5PibSvirHfNjCvuyj58PPVX7h/6Wjy8+pPxjl1/4j50Z5OeP0m3N3QPlBgtgaTmXHe87n+jNWyld53+qx7GHfPueOdQ97Tao+PU42oyXe2ITa2/6t/tJO9LSbbVP0qfxkxgL8y57r64z43ZkLowAQKjIiDBMyrMLkKAAAECBAgkIvDzp+MH2b8kHfeumPrOfQdvtu8XDQP+Jeng1Z2tEIG+D96tPiQOPfiNw+u4+Tk8t3KqNeHE+MuV98fqRaf12TYyzw4mPX+Sbi/Pbig2ygIjmXPpUN3/RnnASulyqT+UmXVLbMo8a2fA587t0Z19Y//agVdWdxdN8r6UZFt79MOBsRHYC3Mu3RH3ubEZTlclQGDUBCR4Ro3ahQgQIECAAIGRCnS2bYnns40cfmjUZbcByR7b43ffLxoG+EvSPco7UIkC/R68e1B91NV0RMvqFbH0wmOjflJd5tUQZ1321bi9uW3gh0an4MzPSpw9mT6nvmRfcP09sWH9rfHpfs+myN8k6fmTdHv590TJURFIYM6l43T/G5XRqqCL9F0pUROT69/ar+9J3peSbKtfkD6UmMDgcy7dGfe5EhtS4RIgULDAPgXXUIEAAQIECBAgMCYCXfHaq6/2frk+bvKh8bYh43hT1B32h6lS7alXV7z6yo7u+kPtMDJkswqUkUD/7UCqD9gad8yYFvdu3P25ATvimbu+lHp9NW498dK48fq50VjTdyaZn2U0KQrrSt38uG/9/MLq7FE66fmTdHt7BOzAWAokMufSHXD/G8thLMtr91spcWS8+0/G9+lmkvelJNvqE6K3pScw6JxLd8d9rvQGVcQECBQqYAVPoWLKEyBAgAABAmMk8L+x45WO6Bz21Tvj19tei/8ddn0Vy1Og74N3U6twNv7rAMmdvj3vjPa1i+Lc82+IDR1dfU6Yn30wvC1YIOn5k3R7BXdIhZIQcP8riWEqmSBfjnVLvhLN3f+hVh0TZsyJptq+fwiR5H0pybZKBligewgMNefSFdzn9mBzgACBshOQ4Cm7IdUhAgQIECBAYJfAG2L8ATUx5E5uuyp4V3ECfbf2SHd+fBx59sK4dd2z0Zp57kD37x/fE8uuODuOzEymzo3L468WNUfHiLzMzxHxVXzlpOdP0u1V/ACVAID7XwkMUomEmFol0fzluPquF3virZ4SFyw4NmpGHH2S96Uk2xpxxzQwYoF855z73IipNUCAQNELSPAU/RAJkAABAgQIEBi+QFXst//+0ffvR4fflpplKdB3a4+YGCdff2+sXjo/ptXt9pDomsaY+bFF8fV/vjiT5Emt5Lnruril5bcjYDE/R4CnaurOluz9Len2DFHRC7j/Ff0QlUaAqS/aN9wQH1lwZ/eGuBGHxJzlX4l59bv9e3RYnUnyvpRkW8PqjEqJCRQw59znElPXEAECxSsgwVO8YyMyAgQIECBAYMQC/fdoH3FzGig/gdqZseL5tsxqnSfi5ln1gyQEq6Jmyvnx1zMOyTi0xQOPPNv9XKfhwZifw3NTq0cg6fmTdHvGqegF3P+KfoiKP8DMF+3n3BjPdG/NlloFe9G1cUXTgQmFnuR9Kcm2EuqeZoYhUOCcc58bhrEqBAiUmoAET6mNmHgJECBAgACBAgRGukd7AZdStEIEDoiG9xye2favM7Z+/+n4z2H33PwcNp2KKYGk50/S7Rmk8hNw/yu/MR1Jjwb6on15fP3y9yawNVs2riTvS0m2lY3P79EVGI055z43umPqagQIJCEgwZOEojYIECBAgACBURAY6d7p1fGW2v3Cf/yMwlCV9SVSq3jeXh8HZfu4eUu0df/VsvmZJfF7OAJJz5+k2xtOn9QpPwH3v/Ib0+H2aGe8sOaL8ZF+K3eGSu4keV9Ksq3hGqg3ugLDmXPDidB9bjhq6hAgMLYCvuMYW39XJ0CAAAECBPIW6L93+s5NW+IXQ9btjFdf2Z4pVRX7HzB+kO23hmxMAQLdAlU1B8T+e1iYn3uQOFCAQNLzJ+n2CuiKomUt4P5X1sObZ+e2RcuKv4rz5n89sy1b5vl1Q67cSfK+lGRbeXZbsTEUGO6cG17I7nPDc1OLAIGxE5DgGTt7VyZAgAABAgQKFKiuOzQOy9Z55ZV4tSv7Idfvjmjb/KvMyZqYXP/WXAUdJ5C3QFdHau5lS7/lgKjJ/Be1+ZlF8Xs4AknPn6TbG06f1Ck/Afe/8hvTgnrUsSFuvfCsmH3NmmhPV6xuiHNWfDO+Nujz63ZdIcn7UpJt7YrQu6ITGOGcG05/3OeGo6YOAQJjKSDBM5b6rk2AAAECBAgUJnDwUXHMxOqeOls3xIafd++NlbuNrl/Glud+kzn/h3Fo3Ztyl3WmAgU644UVZ0f9pLru1+QL74ltQyqk9n//WWu8lClX/UeHxcFVmQ/m55B6CgwikPT8Sbq9QUJ3qhQF3P9KcdTGLubUv/taVsT8U86Na9du7Qljwhmx7JFvxzUn1+W/OjrJ+1KSbY0drCvnFEhizrnP5eR1ggCBshKQ4Cmr4dQZAgQIECBQ5gJV9TH1mNpMJzfFw4+2Ru5FPKn/Y/j46rh/ayYJNHFKTDk4kxwqcybdy1egOt5WXxfjMsU7v/twPL4t94zqLtb1fNx7x/romVU1cexpR0d2Rob5mS+8cgMJJD1/km5voJgdK2EB978SHrxRDj3131MbboiPnL0omtt7/u1X3XBx3PXwDTGzLvtv0DxDSvK+lGRbeYav2GgJJDXn3OdGa8RchwCBsRWQ4Blbf1cnQIAAAQIEChIYH42nTIsJ3XV2RMvSz8ftrTsHbqGjORYvvLtnC5GojokfOCkasistBq7x/9u7Hygry/tO4L+cyXQ5aUlHqZVNOZEJ0ZLdOhvk0GizpgLi0RoDQSFRN56I0AmJm8YiiGA2f05AQU1yElNCBiExNbYgiI1JiASwMaYYa+Ysbk8sSgdb24616Gzc5ridM5t973Dv5c5l7p15h3fmZZgP54xz732f+/ye9/M83ON5vzzv9eoYFGg87+K4YmIx+OveH/dt+kl01XRIvuB351diy09fO9pi4mVxzewzK1pbnxUYHqYWyHr9ZN1f6hPyhpNcwOffST5BJ8nweg5tjsUfvKf4fTuNMfGSdbHroWUxvWko/1OV5edSln2dJNiG0SuQ5ZrzOWdRESAwFgQEPGNhlp0jAQIECBA4ZQQaoun3r4y5pdu0JRfkb7/0A7GybV8cLm+8SL6Idfu65DYiH4ttxX9pGo0XxR8tfufgbyFyyng5kQEFmi6MJTdMTyLAwp/X4pkNrfHhFW2xr6MyOCzcJmRnbFzxgbh02SPF0PCsWLD2ppjZ5wKX9TmgtwZ1BLJeP1n3V2foDo1OAZ9/o3PeRnLUPc/GluVfjvbiZujG85bHfRsWxuShZDu9487ycynLvkYSVa26AlmvOZ9zdbkdJEDg1BB4wy+TP/VOpXBP8sKfQ4c76jVzjAABAgQIECAwQgLJxfa9n4zLFz1QvNA+UNnkX3iu3hp/vmSqgGcgqrF6vOdQ7Fj64Vj+aPF7BQZ0GB/nLt0YX7/lgmg6rq31eRzJWH2he1+sPHdRbCtkheMWxqZn1sXMAe8SmfX6ybq/sTqZo+S8h7LmfP6NksnNY5g9cWT70nj3st3F25IOYQwtq2LPXyyJyX3emuXnUpZ99RmkJ7kIDNOa8zmXy2wqSoBAeoGh5jB28KS39g4CBAgQIEAgV4HkX2zOWhb3rJ5TvFVbvcFMilmrt8Qm4U49JMeS+/jP33BfbLympbiTpw5JY0ssWP+NGuFO4X3WZx09hwYUyHr9ZN3fgCegwWgT8Pk32mZsBMf7Uvzld58aerhTc6RZfi5l2VfNATswYgLDtOZ8zo3YDCpEgEA+Anbw5OOuKgECBAgQIJCFQFd77Nj2o/jJt9ti24Hi96IU+p04O1pvuChmXHxVzEz7BcBZjEsfo1agp2Nf3PeD/fHje7eUv0y6cDKNLQvjpisuiN9dcEVM63Nbtjqnan3WwRkDh4aym6KSJev1k3V/lWP1+OQQOME15/Pv5JjGk2YUletpqIPqdwdPRWdZfi5l2VfFED0cQYERWHM+50ZwPpUiQCC1wFB38Ah4UlN7AwECBAgQIECAAAECBAgQIECAAAECBAgQIEAgG4GhBjxu0ZaNv14IECBAgAABAgQIECBAgAABAgQIECBAgAABAiMmIOAZMWqFCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLZCAh4snHUCwECBAgQIECAAAECBAgQIECAAAECBAgQIEBgxAQEPCNGrRABAgQIECBAgAABAgQIECBAgAABAgQIECBAIBsBAU82jnohQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECIyYgIBnxKgVIkCAAAECBAgQIECAAAECBAgQIECAAAECBAhkIyDgycZRLwQIECBAgAABAgQIECBAgAABAgQIECBAgACBERMQ8IwYtUIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgWwEBDzZOOqFAAECBAgQIECAAAECBAgQIECAAAECBAgQIDBiAgKeEaNWiAABAgQIECBAgAABAgQIECBAgAABAgQIECCQjYCAJxtHvRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIERkxAwDNi1AoRIECAAAECBAgQIECAAAECBAgQIECAAAECBLIREPBk46gXAgQIECBAgAABAgQIECBAgAABAgQIECBAgMCICQh4RoxaIQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBANgICnmwc9UKAAAECBAgQIECAAAECBAgQIECAAAECBAgQGDEBAc+IUStEgAABAgQIECBAgAABAgQIECBAgAABAgQIEMhGQMCTjaNeCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIjJiDgGTFqhQgQIECAAAECBAgQIECAAAECBAgQIECAAAEC2QgIeLJx1AsBAgQIECBAgAABAgQIECBAgAABAgQIECBAYMQEBDwjRq0QAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCAbAQFPNo56IUCAAAECBAgQIECAAAECBAgQIECAAAECBAiMmICAZ8SoFSJAgAABAgQIECBAgAABAgQIECBAgAABAgQIZCMg4MnGUS8ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgRETEPCMGLVCBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFsBAQ82TjqhQABAgQIECBAgAABAieRwMHY9L53xJTJzcnPBbFyb9dJNDZDGR0C1tDomCejJECAAAECBMaygIBnLM++cydAgAABAgQIECBAgAABAgQIECBAgAABAgRGpYCAZ1ROm0ETIECAAAECBAgQIECAAAECBAgQIECAAAECY1lAwDOWZ9+5EyBAgAABAgQIECBAgAABAgQIECBAgAABAqNSQMAzKqfNoAkQIECAAAECBAgQIECAAAECBAgQIECAAIGxLCDgGcuz79wJECBAgAABAgQIECBAgAABAgQIECBAgACBUSkg4BmV02bQBAgQIECAAAECBAgQIECAAAECBAgQIECAwFgWEPCM5dl37gQIECBAgAABAgTGrMDB2PS+d8SUyc3JzwWxcm9XItETXe07Y9O6xfHu3tcLx5Kfs+fGyq/+aezreL2GVn991WhaeLmjLeaV+p96S+zrrtO2cKinI/Zt3hjrb7iwON7iuM5fHOvbdkZ7V88AHQzicK0aA557jb672mNH25dj5fta+o65t78tsaP9SI03Fl7uz3Ooc1OnzHGHsqzbX1/HFTz2woBroiv2rbjgqGXFmunp2Bdb+qzXc+LdN9weW/Z2JKu58s/rcXjvfVVrqCXmrfjKAHNR2Ufh8dF52LhibkwtreHJhX6+3E/N6vdWPT+hNVfhW/QoWGyqHFdhrbXti8N9IaoG4SkBAgQIECBAYHQLCHhG9/wZPQECBAgQIECAAAECWQgkF5t/sGp+nP/+m+L2DXuis7LP7gOx7Y5PxuKZc+Ij2w9VXTivbJj14+Si/O7PxLyps2LxZ++IjXte7Fugc09sXHNTXDVjfqzeXX1Bv2/T2s8GqFE+99+Neau+O4iL5Ueive0P493vnB/L13w+th14rW/p3v4+G8vfPzMJBf5scOFUXnOTV92+YjWeJfO2/b/He2Yuis/1Wa/d0bnna/G5RXPjynV/FYXYshAQ/mDVB+LSRZ+qWkOvxTNb7+qdi6vanh3Eui7M7dK4PPk7sn7rgTiWSxb6+XxSc1b85/d9Jn5QMwgtnUrWay7pt2t3rL66NW6vHFey1nbufzXGN5Tq+k2AAAECBAgQOPUEBDyn3pw6IwIECBAgQIAAAQIEUgl0xeOfXBSt36q8aN1fBy/G7mUfjbvbf9HfwYxfez0OtV0fly75ejxz7Ep6/zWSC9l/tuT6WL335f6P13y1EBIsj2sHUyOSi/jf+kRcu3RrnZDn5WSXyZVx1ZrdfQOyfusXQoFb4+rrvhhP192BlNfc5FW3X6yqF38Rhx5M5m3ZI3WcE98Nn46vtSe7v269foC1/Vq0r/mjAdb1v8Wz998WNw4wt90Hvh6tV3829tWc06zXXIHmn+L7a9bEts7qvyhNceEfnB8TqvQ8JUCAAAECBAicSgICnlNpNp0LAQIECBAgQIAAAQJDEHg9OjsLex3Gx7kLb447H/rrOHS4o/fn4L7NcevClmgs93owNt+zK+rdYKzc9AQe9Bz6Ztyyfv+xXRKNLbFg9ebYc+jouA4d/ut4cP3VcW55YC/EtlVfqHNh/fjBFGrcvPJYSNDYsjBW3L0jni6ee8GgcP63LZ0dE3vfnuwOefRzcfPm/nZ7FAKpj8fSrS8cKzRxdrT26e9nsWfzZ6J19qRym+4DG+Pja/ce3WlSfrXyQV5zk1fdynOv8bjnydjy+e8n4U5hva6KTft+VlyvBd+Px6yJpUWRrNWl18TKwpxUr59De2PTjaV5LdTpiO88+rM6u3iSwGjP/qRmY0yc/ZH6f0c6H4zbasxptmuu6PP6j2LbzuQck/X2sc1742Dv+n0+nn7oy/HR2WfWQPQyAQIECBAgQODUEBDwnBrz6CwIECBAgAABAgQIEDghgUkx5+6HYvv6j8X8acf+zX9D88xYvH5TbFh4Vrn37r99Lv5+WL/X45/i4bV/Eu2lDQkT3xt3PvrncceSmTG5fLupCTFt4drYvmtVTCtdz+/8Xnxrz0vlcdZ/UFkjCQqWfiv2/8W6aL1yWjRVvLFw/tffsjG+s/3GYpiU7PZY//l4+EgVQNfj0Xbv0+VAqrHlxti6a2Os6NPfuJg867pYce/O2Lp0WjE0S0KjrWvijrq7j/Kam7zqVkxAfw+7X47Ol8fFtNVbk/W6JGY2jyu2Kvh+PO5YflE5kOzu7Ix/bTw/bt1VtX4ammPmzV+Ke5aeU3xvd7z4xE/jH/qrV36tsE6+Ed+595Z+/o5sjvsr5/ShzfHgoervrMp4zZXHVXhwTrRu+FL88azmOPpXpCGapv3XmNZU/gvTp7UnBAgQIECAAIFTRUDAc6rMpPMgQIAAAQIECBAgQGDIAo3nXRfL500pXhyu7uaMeM/Vl0V538m/vhJd/6+6TYbPj+yP7/2w99tTkk6bYtbyW2N++SJ+3zoNUy6Pa95TimS64sdP/m05ZOnbsupZZY1J18anbr6gT7DTt3VysXz60vjU4mIY0P1UfO+xyiCpJ47s2RY7S7fIapwTa7d8IqbXvLg+Iabfck+snV0a9wux8/7Ha+6Kymtu8qrb177Gs2TOVi+a2s96bYgJF10aF5ZCvyTqmbT45rh+SikEquzvTfE7M94Z5SOvvBKvVuV2la2j7jpJ5vTmtXHzeeOPvqX76fjmg3/Td0dQpmuuz8giJs2KOS1vqnrRUwIECBAgQIDAqS8g4Dn159gZEiBAgAABAgQIECBQV6AxznzXeRW7Y45v3NB0epx2/MvD8kr3/3wyflzavdM4Iy67qN5tpt4S8+9tL99S7m/Wzyzv3qg9uCSQeWxXPN5bIwkArrg4Wgbc6PCmaLlkVjHkqg6S/m/8/fMvFIOlQqDQGnMnDNThW2LujR8sh2a1d0XlNTd51a09a8eODDBnbz4tjvE3x+WXvKOfIOhob43Nb4+zSx3XDS6ToPGmD8W0etPacHa8/9rzyzuzXjr4QsWt97Jec6VBF34P4FHZ1GMCBAgQIECAwCkm8MZT7HycDgECBAgQIECAAAECBFIK/Gqc8/b/WPMieMrOTrB5d/xj8j075ZtbnTklmmvuhBlqqcpAJrk114ar4pwN6fp6/dnn4x8juWVc79u6ouPgvxQ7GLxlw1vPjnOSnSYvFoKmlw5FR1dPTDuWTKTur/iGjH4N/jwyKpiim4Y47fTxg1yvvx6nN5W386SoUd30N+Pst5V2XFUfKz1Pdnq9bUqcGbvjxeSl7ieejAPd82Nmb/ms11ypZuF3Go/K93lMgAABAgQIEBj9AnbwjP45dAYECBAgQIAAAQIECJyQwLiYcNpJenun05OdQ/V2TQzpvP89uo78fEjvLL/p4PPRUdplFP8nXnm5FEmlsKzcadLdFa/8vL/73qXorzy4LB7kVXcwY2+KqVN+czANM2wzuKCo9k63rNdchqemKwIECBAgQIDAKBYQ8IziyTN0AgQIECBAgAABAgQIECBAgAABAgQIECBAYGwKuEXb2Jx3Z02AAAECBAgQIECAwGgQKH7x/eRMd/H8SjRNeHNy9p3Jz7g4d/XDsXPJOSeg8Wtx+hnjkvcXdvG8Hkde/UXye6DbeSVNfv5qHOlJfhf+NDbF6W/27w+PYpyM//3f8UpXYctW/du99XS9Eq+Whv8bp0dTeUqzXnOlIn4TIECAAAECBMa2QPl/t8Y2g7MnQIAAAQIECBAgQIBAFgKlgKN2X90dz8dzNQ83xm9NaU5il+Kf4nfTlJ72+7ujLeZNbo4pvT8LY9Oxe6f12zziP8Rb335W8VL96/Hs/v8VR2q0HNzLTdF8TumWYf8WB5//5yjlNrXf3xNHHtsVj5du8zYs3zVUu/rIHMaEMgAAEA1JREFUHjnRNTGyo+2/2r/Ec3/X1f+h8qs90fV3h+Kl4vPG3z473loOJrNec+WiHhAgQIAAAQIExrSAgGdMT7+TJ0CAAAECBAgQIEDgxAVKO1gKPQ0UcLwcP9r1ZO9el1p1G//Lu+L3Shslup+K7z1WumTe3zuSoOSnT8WzpUOTpsf0t5beXHqx+ndDNL1tSpxZfLn7h9vioUOl79Cpblt6ntTZ/ocxtRgkTb1hR0UoVHnxvjte3LQxHi5vzSm9v/r3S/GX330qSvlO3zCguu1ofJ7tmshfoCse/+7+ijnvZ0Q9z8VD9+8vzmlTXPgH58eEcrOs11y5Yw8IECBAgAABAmNaQMAzpqffyRMgQIAAAQIECBAgcOICb4rTJpT23CQBx0Pb44dd/e1hSXY47P1C3Lb1hfolJ5wfl72ndIuzrth75+2xo6P/AKanY3usvvOx4kX1xph0xcXRUt41UbtMQ8vc+NB544826N4fd930lXi63zEfbdJzaHO0rtxdrHNWzLv2wj4X7yfMXhDzJhaDpe7dser6L9bp70g8ve7GWLWntCOkur/a4x49RzJeEyfBiXfv+XS0tj1bY3dWMqd3rYq7fvra0ZE2zojLLipFiEdfynbNnQQghkCAAAECBAgQOAkEBDwnwSQYAgECBAgQIECAAAECo1lgfLS869xj307S+UAsve6Tsa392I3Pejr2xZZ1rXH5ogeis/GMmHhGvV02b4m5qz4a00pNOh+J5Zd8IFa27YvD5dzoSLRvXxcfufq22N1Z3Acz8ar4dOs7YxD5TkTD2XHVje+NiUX27gP3xMIZ82PlV3dGe2XQ09UeO756S1x56dpoL5ZpPO/aWPL7Z/SdsKYLY8kN08sGvf1d2hrrt7dHKcYpfD/P4b33xfob5sXCDe3Hdu/011/f3kfhs6zXxMlA8Fq0r1kYV65oi33lwDEJLdt3VM3p+Ji24o9j7oSqlZj1mjsZSIyBAAECBAgQIJCzwBtzrq88AQIECBAgQIAAAQIERrlAQ0yY1xqLvvBYbHzxaArSfeCBWPn+5Oe4Mytc/F4Vc759a6x/uXSDsuMaRcOUD8VddxyIa5c9Ep2Fw90HYtuaRcnP8W2PvnJWLFh7U8xsqrqoXqt5EgM1zfofcd/qjrh8TfG2WoUad9zU+1PzbRPfG2vv/lBMOa7MuJiy5Eux4bkFsbi0Q6lzT2xcVvip2Vs0ttwY929e1E9/td8zOo5kvybyPe9p0bq6OR5esyOe2bo2meO1NYbTGBMvuS3uWjS1n6Ax6zVXYwheJkCAAAECBAiMIQE7eMbQZDtVAgQIECBAgAABAgSGSaBheiz75udiTuk2Zf2WmRSzVm+JTUv+Uz8Xv6vfMC4mX3ln3N/24Ti3tJOnuknpeWNLfLBtS6yZVbWrpnS85u9CKLMldg2mRtJHY8uHY+MDd8b85tLt6Ko7PiNmrt8eD66eU94ZVN3i2PPxce7C2+OB+z4R0wcdSh1796h4lPmayPOs3xinX/zpuP/uY7u+jh9NMqfXfDHu37AwJh8XAJZaZ73mSv36TYAAAQIECBAYmwJ28IzNeXfWBAgQIECAAAECBAhkLNDQvDC++sSM2PeNR+L7O9ti24Hi95FEIcxojeuu/mDMn1b42vmDg6ychDxzPhU7n72unz6TLibOjtYb3htzFlwR04YcklTWeDSeeuJPY+OeFyvGl4RSS/9b/N6MS+K6Wc2DCKYmxLQlX4snFiS3dtv2o/jJtysdSmO+KGZcfFXMrBkUVZQf5Q+zXxN5ghRCxy/Gd942M752zxcq1klhjVwXl10yv7i+Bxpj1mtuoHqOEyBAgAABAgROXYE3/DL5U+/0pkxu7j186HBHvWaOESBAgAABAgQIECBAgAABAgQIECBAgAABAgQIpBQYag7jFm0poTUnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECOQtIODJewbUJ0CAAAECBAgQIECAAAECBAgQIECAAAECBAikFBDwpATTnAABAgQIECBAgAABAgQIECBAgAABAgQIECCQt4CAJ+8ZUJ8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkFJAwJMSTHMCBAgQIECAAAECBAgQIECAAAECBAgQIECAQN4CAp68Z0B9AgQIECBAgAABAgQIECBAgAABAgQIECBAgEBKAQFPSjDNCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJ5Cwh48p4B9QkQIECAAAECBAgQIECAAAECBAgQIECAAAECKQUEPCnBNCdAgAABAgQIECBAgAABAgQIECBAgAABAgQI5C0g4Ml7BtQnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKQUEPCkBNOcAAECBAgQIECAAAECBAgQIECAAAECBAgQIJC3gIAn7xlQnwABAgQIECBAgAABAgQIECBAgAABAgQIECCQUkDAkxJMcwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA3gICnrxnQH0CBAgQIECAAAECBAgQIECAAAECBAgQIECAQEoBAU9KMM0JECBAgAABAgQIECBAgAABAgQIECBAgAABAnkLCHjyngH1CRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIpBQQ8KcE0J0CAAAECBAgQIECAAAECBAgQIECAAAECBAjkLSDgyXsG1CdAgAABAgQIECBAgAABAgQIECBAgAABAgQIpBQQ8KQE05wAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkLeAgCfvGVCfAAECBAgQIECAAAECBAgQIECAAAECBAgQIJBSQMCTEkxzAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDeAgKevGdAfQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBASgEBT0owzQkQIECAAAECBAgQIECAAAECBAgQIECAAAECeQsIePKeAfUJECBAgAABAgQIECBAgAABAgQIECBAgAABAikFBDwpwTQnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECOQtIODJewbUJ0CAAAECBAgQIECAAAECBAgQIECAAAECBAikFBDwpATTnAABAgQIECBAgAABAgQIECBAgAABAgQIECCQt4CAJ+8ZUJ8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkFJAwJMSTHMCBAgQIECAAAECBAgQIECAAAECBAgQIECAQN4CAp68Z0B9AgQIECBAgAABAgQIECBAgAABAgQIECBAgEBKAQFPSjDNCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJ5Cwh48p4B9QkQIECAAAECBAgQIECAAAECBAgQIECAAAECKQUEPCnBNCdAgAABAgQIECBAgAABAgQIECBAgAABAgQI5C0g4Ml7BtQnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKQUEPCkBNOcAAECBAgQIECAAAECBAgQIECAAAECBAgQIJC3gIAn7xlQnwABAgQIECBAgAABAgQIECBAgAABAgQIECCQUkDAkxJMcwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA3gICnrxnQH0CBAgQIECAAAECBAgQIECAAAECBAgQIECAQEoBAU9KMM0JECBAgAABAgQIECBAgAABAgQIECBAgAABAnkLCHjyngH1CRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIpBQQ8KcE0J0CAAAECBAgQIECAAAECBAgQIECAAAECBAjkLSDgyXsG1CdAgAABAgQIECBAgAABAgQIECBAgAABAgQIpBQQ8KQE05wAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkLeAgCfvGVCfAAECBAgQIECAAAECBAgQIECAAAECBAgQIJBSQMCTEkxzAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDeAgKevGdAfQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBASgEBT0owzQkQIECAAAECBAgQIECAAAECBAgQIECAAAECeQsIePKeAfUJECBAgAABAgQIECBAgAABAgQIECBAgAABAikFBDwpwTQnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECOQtIODJewbUJ0CAAAECBAgQIECAAAECBAgQIECAAAECBAikFBDwpATTnAABAgQIECBAgAABAgQIECBAgAABAgQIECCQt4CAJ+8ZUJ8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkFJAwJMSTHMCBAgQIECAAAECBAgQIECAAAECBAgQIECAQN4CAp68Z0B9AgQIECBAgAABAgQIECBAgAABAgQIECBAgEBKAQFPSjDNCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJ5Cwh48p4B9QkQIECAAAECBAgQIECAAAECBAgQIECAAAECKQUEPCnBNCdAgAABAgQIECBAgAABAgQIECBAgAABAgQI5C0g4Ml7BtQnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKQUEPCkBNOcAAECBAgQIECAAAECBAgQIECAAAECBAgQIJC3gIAn7xlQnwABAgQIECBAgAABAgQIECBAgAABAgQIECCQUkDAkxJMcwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA3gICnrxnQH0CBAgQIECAAAECBAgQIECAAAECBAgQIECAQEoBAU9KMM0JECBAgAABAgQIECBAgAABAgQIECBAgAABAnkLCHjyngH1CRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIpBQQ8KcE0J0CAAAECBAgQIECAAAECBAgQIECAAAECBAjkLSDgyXsG1CdAgAABAgQIECBAgAABAgQIECBAgAABAgQIpBQQ8KQE05wAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkLeAgCfvGVCfAAECBAgQIECAAAECBAgQIECAAAECBAgQIJBSQMCTEkxzAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDeAgKevGdAfQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBASgEBT0owzQkQIECAAAECBAgQIECAAAECBAgQIECAAAECeQu8cbADmDK5ebBNtSNAgAABAgQIECBAgAABAgQIECBAgAABAgQIEBhGATt4hhFX1wQIECBAgAABAgQIECBAgAABAgQIECBAgACB4RB4wy+TP8PRsT4JECBAgAABAgQIECBAgAABAgQIECBAgAABAgSGR8AOnuFx1SsBAgQIECBAgAABAgQIECBAgAABAgQIECBAYNgEBDzDRqtjAgQIECBAgAABAgQIECBAgAABAgQIECBAgMDwCAh4hsdVrwQIECBAgAABAgQIECBAgAABAgQIECBAgACBYRMQ8AwbrY4JECBAgAABAgQIECBAgAABAgQIECBAgAABAsMjIOAZHle9EiBAgAABAgQIECBAgAABAgQIECBAgAABAgSGTeD/AzowDykLNM4qAAAAAElFTkSuQmCC" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Determine the diameter that will be required for the turbine blades to achieve the maximum power of 0.75 MW.</p>
<p>(ii) State <strong>one</strong> reason why, in practice, a diameter larger than your answer to (a)(i) is required.</p>
<p>(iii) Outline why the individual turbines should not be placed close to each other.</p>
<p>(iv) Some members of the community propose that the wind farm should be located at sea rather than on land. Evaluate this proposal.</p>
<div class="marks">[8]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Currently, a nearby coal-fired power station generates energy for the community. Less coal will be burnt at the power station if the wind farm is constructed.</p>
<p>(i) The energy density of coal is 35 MJ kg<sup>–1</sup>. Estimate the minimum mass of coal that can be saved every hour when the wind farm is producing its full output.</p>
<p>(ii) One advantage of the reduction in coal consumption is that less carbon dioxide will be released into the atmosphere. State <strong>one</strong> other advantage and <strong>one</strong> disadvantage of constructing the wind farm.</p>
<p>(iii) Suggest the likely effect on the Earth’s temperature of a reduction in the concentration of atmospheric greenhouse gases.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the binding energy of a nucleus.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the axes, sketch a graph showing the variation of nucleon number with the binding energy per nucleon.</p>
<p>(ii) Explain, with reference to your graph, why energy is released during fission of U-235.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>U-235 \(\left( {{}_{92}^{235}{\rm{U}}} \right)\) can undergo alpha decay to form an isotope of thorium (Th).</p>
<p>(i) State the nuclear equation for this decay.</p>
<p>(ii) Define the term <em>radioactive half-life</em>.</p>
<p>(iii) A sample of rock contains a mass of 5.6 mg of U-235 at the present day. The half-life of U-235 is 7.0\( \times \)10<sup>8</sup> years. Calculate the initial mass of the U-235 if the rock sample was formed 2.1\( \times \)10<sup>9</sup> years ago.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nucleus of phosphorus-32 \(\left( {{}_{15}^{32}{\rm{P}}} \right)\) decays by beta minus (<em>β</em><sup>−</sup>) decay into a nucleus of sulfur-32 \(\left( {{}_{16}^{32}{\rm{S}}} \right)\). The binding energy per nucleon of \({{}_{15}^{32}{\rm{P}}}\) is 8.398 MeV and for \({{}_{16}^{32}{\rm{S}}}\) it is 8.450 MeV.</p>
<p>Determine the energy released in this decay.</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 graph shows the variation with time <em>t</em> of the activity A of a sample containing phosphorus-32 \(\left( {{}_{15}^{32}{\rm{P}}} \right)\).</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Determine the half-life of \({{}_{15}^{32}{\rm{P}}}\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Quarks were hypothesized long before their existence was experimentally verified. Discuss the reasons why physicists developed a theory that involved quarks.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Nuclear fusion</p>
<p>The diagram shows the variation of nuclear binding energy per nucleon with nucleon number for some of the lighter nuclides.</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) Outline, with reference to mass defect, what is meant by the term nuclear binding energy.</p>
<p>(ii) Label, with the letter <strong>S</strong>, the region on the graph where nuclei are most stable.</p>
<address>(iii) Show that the energy released when two \({}_1^2{\rm{H}}\) nuclei fuse to make a \({}_2^4{\rm{He}}\) nucleus is approximately 4pJ.</address>
<p> </p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In one nuclear reaction two deuterons (hydrogen-2) fuse to form tritium (hydrogen-3) and another particle. The tritium undergoes <em>β<sup>-</sup></em> decay to form an isotope of helium.</p>
<p>(i) Identify the missing particles to complete the equations.</p>
<p><img 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" alt></p>
<p>(ii) Explain which of these reactions is more likely to occur at high temperatures.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about electric fields and radioactive decay. <strong>Part 2</strong> is about change of phase.</p>
<p><strong>Part 1</strong> Electric fields and radioactive decay</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Change of phase</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A simple model of the proton is that of a sphere of radius 1.0×10<sup>–15</sup>m with charge concentrated at the centre of the sphere. Estimate the magnitude of the field strength at the surface of the proton.</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>Protons travelling with a speed of 3.9×10<sup>6</sup>ms<sup>–1</sup> enter the region between two charged parallel plates X and Y. Plate X is positively charged and plate Y is connected to earth.</p>
<p><img 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u/nF+Tr+9773hPaikd4ECBAgAABAgQIEKiSwB9UaT92Q4AAAQIECBAgQKBdQMD0h0CAAAECBAgQIFBVAQGzqpx2RoAAAQIECBAgIGD6GyBAgAABAgQIEKiqgIBZVU47I0CAAAECBAgQEDD9DRAgQIAAAQIECFRVQMCsKqedESBAgAABAgQICJj+BggQIECAAAECBKoqIGBWldPOCBAgQIAAAQIEBEx/AwQIECBAgAABAlUVEDCrymlnBAgQIECAAAECAqa/AQIECBAgQIAAgaoKCJhV5bQzAgQIECBAgAABAbOCv4GaSZMrGG1oNQSYV0Oxsn0wr8zrSEfzPlLByrdnXrmZLQhUKiBgVipmPAECBAgQIECAQFkBAbMsj5UECBAgQIAAAQKVCgiYlYoZT4AAAQIECBAgUFZAwCzLYyUBAgQIECBAgEClAgJmpWLGEyBAgAABAgQIlBUQMMvyWEmAAAECBAgQIFCpgIBZqZjxBAgQIECAAAECZQUEzLI8VhIgQIAAAQIECFQqcEJb8ah0o5E4vpo33m3Y3TgSiap+TMyrTjrgDqtl7m98QOr2AdXyLu2MOfPBCRhFIA0BAbOCPpT+Y+F/5CsAq8JQ5lVArHAXzCsEO8LhvI8QcAibMx8Cmk0IVCjgEnmFYIYTIECAAAECBAiUFxAwy/tYS4AAAQIECBAgUKGAgFkhmOEECBAgQIAAAQLlBQTM8j7WEiBAgAABAgQIVCggYFYIZjgBAgQIECBAgEB5AQGzvI+1BAgQIECAAAECFQoImBWCGU6AAAECBAgQIFBeQMAs72MtAQIECBAgQIBAhQJutF4hmOEECBAgQIAAAQLlBZzBLO9jLQECBAgQIECAQIUCAmaFYIYTIECAAAECBAiUFzix/Oq+17bULYs3zt8UB/pe3W3pm+La7RtjweTRXcsG2nbMnA3x1JppcWiLrk29IECAAAECBAgQyEDgCD6DuSfqt3w1vvbFdbF55/6ehzp6Slzy+c/EP8yYHKN6rul41xrNOz4TH7xkbTzdUlo0Ns6csyI+sWJ2TB3X9xZ97sZCAgQIECBAgACB5ASO4BL5+Jh68aJYvXVr3Pz2k3oe2OveFZf3Gy5LQ0fFuDe+Ld7ymuI8ZSmMrv96bFlziXDZU9E7AgQIECBAgECWAkcQMDuOd1RNzLrj7p4h88d18e2GchfQizOY39kSX3/hNTFj9W1lznRmaapoAgQIECBAgMBxLXDkAbPEVwqZa/4uZk/s+ORkyxNxyzVfiobWvm1bG7fE8hWPxIQr1sTqi2v6uYze97aWEiBAgAABAgQIpC1wBJ/B7H1gxVnJuo/HO+ffG03tq8bG1Os2xdcuP6NngGz+fqyZtzA2nHhlPLT58qipwkcuayZN7l2M9wQIECBA4JgLNOxuPOY1KIDAsRCoYsAslf9ibF86OxZs+snBYxl9blz7zbtiQc2YjmPrWP/YW6L2m5+KaUf4hR7BsoPVEwECBAgkLSBoJt0exQ2DQHUukXcVNiGmrbiun0vlB6Jh/VVxxdZXx8LbFx9xuOya0gsCBAgQIECAAIGkBKocMItjGzc9lq98b0zsOMyWJz8Xyzb8KPbsuD0Wr/lRvGHpylh89vikEBRDgAABAgQIECBQPYEqXyLvLKz3pfIJMXFcca/MaZ+Nh9bMiHGdw47w2SXyIwS0OQECBAgcFQGXyI8Ks0kSEqj+Gcz2g+t9qfzFaGo+LxYvm161cJmQoVIIECBAgAABAgS6CQxTwCxm6HWpPIpbF33l/mejnzsXdStp8C/9P8LBWxlJgAABAsdGwH+rjo27WY+twJB+i3xwJbdE877uPyG5P+rXfDLumt79W+WD21O5Uf7FLadjHQECBAgQIEDg6AsM2xnM1oYvxZLl34nXXnFVXDTIG7Af/cM3IwECBAgQIECAQLUFhidgNj8a1829LX4x7fq4ZclVcf1h3yrfVdVL5dVGsT8CBAgQIECAAIGhC1Q/YLbuitr5i2NzXBQ3rLk4Jo0aVXwc8+q4Yc4pHVV2XCov+1vlQz8gWxIgQIAAAQIECBxbgSoHzD2x45YVccvTfxrXbvy7bjdT7/2t8vK/VX5sScxOgAABAgQIECBwJAJVDJil3yK/Na66Y29cuO6z3X4esqO8Xt8qP3gDdpfKj6R5tiVAgAABAgQIpChQtYDZ2rAhFix8MCZcsSqWT5/Qx7G6VN4HikUECBAgQIAAgREnUJWA2dq4KRbNvTn+95lXxq1L3lzmZuqHXypfNfcfYntzNe+OOeJ65IAIECBAgAABAlkJHGHALC6L16+PD73/+ni0aXLM//jcqBk1wPEXl8qvueZtMbpzWNO9ccW8z8QOIbNTxDMBAgQIECBAIGuBIQbMUrB8INYtnRXnXrQy6ppaCoTfxfPP/2Lg2w+17o7vfOvHUdqi89Gyc23MnbciausaB96+cyPPBAgQIECAAAECSQqc0FY8Kqvsmah9z8xYtfNAP5tNjNkbHonV08f1Wt8Su9fPjQtu/EGv5b3ejpkTtU/fFNO6TnH2Wu8tAQIECBAgQIBA0gJDCJhJH4/iCBAgQIAAAQIEjrHAEC+RH+OqTU+AAAECBAgQIJCsgICZbGsURoAAAQIECBDIU0DAzLNvqiZAgAABAgQIJCsgYCbbGoURIECAAAECBPIUEDDz7JuqCRAgQIAAAQLJCgiYybZGYQQIECBAgACBPAUEzDz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQQMPPsm6oJECBAgAABAskKCJjJtkZhBAgQIECAAIE8BQTMPPumagIECBAgQIBAsgICZrKtURgBAgQIECBAIE8BATPPvqmaAAECBAgQIJCsgICZbGsURoAAAQIECBDIU0DAzLNvqiZAgAABAgQIJCsgYCbbGoURIECAAAECBPIUEDDz7JuqCRAgQIAAAQLJCgiYybZGYQQIECBAgACBPAUEzDz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQQMPPsm6oJECBAgAABAskKCJjJtkZhBAgQIECAAIE8BQTMPPumagIECBAgQIBAsgICZrKtURgBAgQIECCQlcCeb8SaDc9kVfJwFStgDpes/RIgQIAAAQLHkcDvor62Nr7XehwdcplDFTDL4FhFgAABAgSOF4Gmpqaor68/Xg636sfZ2rAxbqx19rITVsDslPBMgAABAgSOY4Gbb7op3nvRrJj2538eDz/08HEsMYRDb/5+3Hr156K+ZQjbjtBNBMwR2liHRYAAAQIEKhH4zW9+2z78pz/5aVy5aJGgOUi81saH47p5C2Pdzv2D3OL4GCZgHh99dpQECBAgQKAigWMSNJvr4/71q+Lyc8+L5XXN7fW2Nm6P2qUz44xJk6Om+OeM9yyL2rrGKP9Rxz1Rv+X2WP6e/xoXri9dtm6N5vqvFu+nFPs4Pf7ssvVR39x7Dwdid92XY123uQ6OXRW1W+rjYDXdCYs51v9tnD9tUXy1K1weiKdv/Mv2Oku11pyxLLb3eVaz0rm6zdvaGNs3lIymdBxbaV3n8ZaOr5j3tJmxfP322N37EHvs5nDXdaXjbN0VtSu+HLu7jR3SyzYPAgQIECBA4LgXuOzS+W1/fMqkfv952/nntz304EPD4PT7tn1Pbm37p2ve0/YnXfOf27Zs26/b9v3wlraZp/ZV05ltM1d/r21fr2p+/3xd24bVl7W9pWs/Z7TN/MKP2/Ztu7bbstL+3ti24L6fHdp63w/b1s9/a9sfn3NZ263bnm/7ffua/9vWuO22tgXnnNZu8ifvvqXth/sOrjm04cFX/2/b0rbXt89Zmu/feq/u+X6oc+17sm3LYcdWzPX759q2XF7U3nXMnV6ntb3lmn85zKjYoMP1rW0Lbv6XtsbOQyr2v6mzB+/+Qltjz6orfucM5pBiuY0IECBAgMDxJTBsZzRbHovV77861mzaGd1P9v3+mdpY8JEfx/nr6uKZ3Y3R0FAXtR++ICa2s++Pp+9YGAvW7+p2JvPn8fUbPhY33LEtmrq1pnXXuvjQ2vHx2aeeiR1bV8T0iaMjJr413nHWqw+OKp2xm39prHrspLh249r42PTJMap9zZiYNP3q+Kd7b4gZxTYtO9fG3HmfiR2HnfnsNtlAL4c818/j/sXz45pexxat/xq1s/9bPFJzddz31HPRsPu52LHlw3FmcYhRaDZt3Rx1e3qdxmx9Kr7wkXWx6/yrY/WSGTHp4MFGjJsas9fUxh1zThnoKAa1XsAcFJNBBAgQIECAQEmg6kFz9LRYvasIkLu/GzdfMK4DuSm23v1CfOBL3QLfqMkxbcnauOe6c6M9P8X+qL/znnisK/D955h1Z317yPpft87oGHMg/vWfm+Ivbl4UZ48bXWSoy2P9E89EwxOfi1mTxxRzHYiGDZ+MW548EBMvmh/vrSkt6/kYNfniuPGat7Xvr2XnurhqZV0fl8t7btP3uyOZq/PYfhT3XXF6x+6Ly/G33hN7r/tKrF82K6aOKyXFUTHu7CviEws6xrT8IB7577/sUU7rzm/HQy90j/LdV0+Iacuuiukndl82tNcC5tDcbEWAAAECBI5rgaoHzZgQZ517WofpxJi98lMdIbA785iomb8k5p90MGJG0yPxlW09A1QpZL3iVa/qOAs5Ok5asCQu7SM4tu+1+fFYf+eO4lzfy+P15/xpdMbb7jOW9jf+woUdc5bOCm6I+xoO9BwymHdVmetl8YY3vTEOxuAxcebS1bH07PG9Zu8+5kC8uPelHuv/fd/e+HWxpOWxzbG1r+MYf26845yxPbYZyhsBcyhqtiFAgAABAgTaBboHzccfe3z4VUa9Lma8e3LHPP8nnnnuF90uk/eeflS86tVjO8Jm73WtsWfb5nigqXQ277Q456wJvQccet99zpan4sG6nx5aN6hXR3Ou8gX9wateHX9YGtLyRKz6q/fF8k29v8BUnC1ddklMKr+bAddW4STogHMMy4DSt6Q8CBAgQIAAgTQESkHzg/PmFZeoG4e5oI4zdHc8U1zgbolf7/lt/HsxY+dHCQc/+f7Y+T+f7vG5z/63/Q9x8qmnFJfJnynGH4hnn/1Z8Xx6x2X4/rc6tOZoznVo1r5ejZoyM/76rI2x6snitkotO2Pz0lmx+bYLYuE1i+JvL57az1ncvvZUflm2AXP4/4DLw1lLgAABAgRGksCC+ZfF9rq6IR/Sm//sLbF4yZIhb1/JhqMnn1qcc4x4upKNDhv7q2jYdfjNhw4b1r7g0GX30vnOA7uei5/FtArO8h3Nufo+gq6lo86IBRvuilj80Vi17YWDi5u2xbrFxT83XxCLVl4XH+n6olPXVhW/cIm8YjIbECBAgAABAp0CpWB539b748sbN8bUqVM7F2f2/JvY29zfF18OHkpnqC29Gz1hfAz9U4pHc65+2jDu7Fhw56OxbUPxhZ7St+o7H0XQvH3+zLh4xcNl76HZObzcs4BZTsc6AgQIECBAoE+BNILl6PjD8a+IoYWZ/xivntD5rfFfxbPPD/Zs5uh4zemnVHgp+WjO1We7+lh48DZM65/4ftx364e6Bc3iFlBfWR5LNnS/BVQfmw+waGg9GWCnVhMgQIAAAQIjUyCFYNnavDf2tfO+PE4/9bVD+PxlaePu31of6MtCxW8Bdc05Od759tdVOOfRnKvSv7vxMfXiZbH+u9+KdR+Y0vG50uIWUF/8euzsdQvNSvYsYFaiZSwBAgQIEDhOBVIIlgfpi599fL4h2m9ONPEd8YELXjPEjoyOP5o+I6a2XyFuiRe2bul2T83eu+w250nTY8aUl/UeMMD7ozlX+VJa6j4Vi7b8/PBBxX1G/2LlHbGy816kv94bzaVvTw3xIWAOEc5mBAgQIEDgeBA4NsGyOXY1/Kof3l/Gdx7+QfEt7rEx9bJ5cX77Dcb7GVrcwGjf3v393sZoVM2Fseiijl+uaXowbt/8bD9j9xbfOC99g7yY829mxpReX1nvuvVPmfmqNVd/Rzr45S/Fdx9+ovj18r4e3c60nn5qTO728cy+RpdbJmCW07GOAAECBAgcpwLHJlh2Yhe/UnPn3bG961d6OpcXZxLr1sat25pj9FlXxk3zzxjgUvWh2xh17qHnc/HLNStWxcIppa/sFJeF13wy7urj5uOtDQ/E7Vt/HhPffn3c0seco04+LU7vfSa0tTG+veLquK3+dx1TVmOu1vjtvn0dIbjzdkk9j6jnu77HtGz7+1jY42c2O7dqKQL5b4o3RZB+93nxR52Lh/AsYA4BzSYECBAgQGCkCbzyla9oP6RjGyw7VccUvzn+SFwx7+Oxub7zXNueqN/08fjgwntjz5QPx8YN86Om15nE9q2bvx+f/swjxd0qDz4OPHZ/fKOx813n/rs9j3tzLP7H1XFJKWSWbj4+98NxW11jV4jbXffp+NDc2+IX026IjXfMOfTb3d12EeNeH+ecWQqpxaPp3ljwxlOjpmZmrH3lnJg/tdvl9COdq/XZ2LrxieJM6sFHn8fW2hDf+Or3Bjj+IkzfOCcuXnp73N/D94b4ZO0v4swPrO4zSHdMO6inE9qKx6BGGkSAAAECBAiMWIGmpqZ4af9Lcepppx6jY2yJ3evnxgU3/qCYv/ipyA1fjvftuy8+f/OdUdf+azvF7YGmzImr/+aSeF+fNwTvvn1fh/CmuHb7xljQ73XfIsBu+Wp87YvrYvPO4ibk7Y+xceachTHv/ZfErKm9f5Kx1xzNO6K2896So6fE7Bv/PpbP6e/G5ZXONcCxTVkR2/75gxFdfr1qK71tH3N5/JfiM5gf3XdZfPasf4t7vv1EfO/Ouzp8R8fECy6NBXMviXlVuA+mgNlHDywiQIAAAQIEjrZA9xBVCpiPxOrpff86+NGuzHyVC7hEXrmZLQgQIECAAAECBMoICJhlcKwiQIAAAQIECBCoXEDArNzMFgQIECBAgAABAmUEBMwyOFYRIECAAAECR0ug8xY5pfkOxJ59nbf3OVrzm6eaAgJmNTXtiwABAgQIEBiSQGvjg7Fua2PHts3x+BfvjR2H3QdzSLu20TEQ8C3yY4BuSgIECBAgQKBDoHF9XDhtZTzdH0jH7XUm9bfe8iQFBMwk26IoAgQIECBAgEC+Ai6R59s7lRMgQIAAAQIEkhQQMJNsi6IIECBAgAABAvkKCJj59k7lBAgQIECAAIEkBQTMJNuiKAIECBAgQIBAvgICZr69UzkBAgQIECBAIEkBATPJtiiKAAECBAgQIJCvgICZb+9UToAAAQIECBBIUkDATLItiiJAgAABAgQI5CsgYObbO5UTIECAAAECBJIUEDCTbIuiCBAgQIAAAQL5CgiY+fZO5QQIECBAgACBJAUEzCTboigCBAgQIECAQL4CAma+vVM5AQIECBAgQCBJAQEzybYoigABAgQIECCQr4CAmW/vVE6AAAECBAgQSFJAwEyyLYoiQIAAAQIECOQrIGDm2zuVEyBAgAABAgSSFBAwk2yLoggQIECAAAEC+QoImPn2TuUECBAgQIAAgSQFBMwk26IoAgQIECBAgEC+AgJmvr1TOQECBAgQIEAgSQEBM8m2KIoAAQIECBAgkK+AgJlv71ROgAABAgQIEEhSQMBMsi2KIkCAAAECBAjkKyBg5ts7lRMgQIAAAQIEkhQQMJNsi6IIECBAgAABAvkKCJj59k7lBAgQIECAAIEkBQTMJNuiKAIECBAgQIBAvgICZr69UzkBAgQIECBAIEkBATPJtiiKAAECBAgQIJCvgICZb+9UToAAAQIECBBIUkDATLItiiJAgAABAgQI5CsgYObbO5UTIECAAAECBJIUEDCTbIuiCBAgQIAAAQL5CgiY+fZO5QQIECBAgACBJAUEzCTboigCBAgQIECAQL4CAma+vVM5AQIECBAgQCBJAQEzybYoigABAgQIECCQr4CAmW/vVE6AAAECBAgQSFJAwEyyLYoiQIAAAQIECOQrIGDm2zuVEyBAgAABAgSSFBAwk2yLoggQIECAAAEC+QoImPn2TuUECBAgQIAAgSQFBMwk26IoAgQIECBAgEC+AidWXnpzbF/6jliwqan8pmPmRO3TN8W00b2HPRO175kZq3Ye6L3i4Pt+t+t7uKUECBAgQIAAAQJpCZzQVjwqL6k1muu/Hl9Y++lYt+2FbpuPjokXXBNrb50fU8eN6rb88JetjZti0fuvj0ebWtpXjp4yJ5Z89ENx6fTJUX7Lw/dlCQECBAgQIECAQDoCQ7xEPirGTZ0VS79wd9z89pO6Hc34OG/u7AHDZWmDUZPfFQsvmly8KkLp22+Kb269KRYIl90svSRAgAABAgQI5CkwxIDZcbCjamLWmjWxcMrYjgVN8cDazdHQOgiM1h/Ho99ojNFnXRP33DEnJjltOQg0QwgQIECAAAEC6QscWcAsHd+4N8fiT18ZUzs+a9ny5Odi2YZdUT5jHoiGDbfEhl+eHUtu/uuoES7T/0tRIQECBAgQIEBgkAJHHjCLiUbVXBiLLjqlY8r9Ub/mk3FXQz9f4ilGtTZ8KZat+VG8Yekn4tKaMYMs1TACBAgQIECAAIEcBKoSMCMmxLQV18XsiZ2nMXfEXesej+Y+BV6Mx9ZtjPrx74pFs0/zhZ4+jSwkQIAAAQIECOQrUKWAWQCMmx7LV743JrZbtETTphtjdd2LvWSKb5/XfTqu3xQxe+XVMW2Ab5r32thbAgQIEBjhAi+99FLU19d3/TPCD9fhERixAkO8TVF/Hi8W98icXdwj8ycHB0x8f9R+81OHgmTzo7H8r66Kx8//bDy0ZkaM6283lhMgQIDAcSfw8EMPx4rly2P//v1dxz527Nj43O23x3nnn9e1zAsCBNIXqHLALA64PUQuis3t97csbkE05/aOMFl8sWf9pfHONWNj5RN3xKzx1flmT82k0q2OPAgQIECAQJoCDbsb0yxMVQSGUaB6l8g7i+znUvmhL/Z8LGYKl51angkQIEBghAs4ETLCG+zw+hSo/hnM9ml6Xyo/N6b/px/F4ydeGQ9tvrxqtyXyL22fPbWQAAECBBITcBYzsYYoZ9gFqn8Gs73kXt8qb3oi6na+NuZ/fG7VwuWwy5iAAAECBAgQIEBgSALDFDCLWsadF5dfdnbxQ5AdjynvjTlTX9b5zjMBAgQIECBAgMAIFRi+gBlj4uSak4f1PpcuOYzQv0qHRYAAAQIECGQtcGLW1RfFC5m5d1D9BAgQiHj8scfjg/Pm9Unx8pe/PO5/4IE49bRT+1xvIQEC6QkM4xnM9A5WRQQIECCQpkDpPpd333NPnHTSST0KPPmUk4XLHiLeEMhDIPszmHkwq5IAAQIEBhIohczv/I/H47lnn4u/nDEjvvXoo85aDoRmPYFEBZzBTLQxyiJAgMDxKtB5Kbzz+Xh1cNwEchYQMHPuntoJECBAgAABAgkKDGPAbImfNTTGgc6D3rs39rV2vvFMgAABAgQIECAwUgWGKWC2RnP93XHjnU8dcnvhwfj8hh3RfGiJVwQIECBAgAABAiNQoMo/Fdkc25e+IxZsaipPNWZO1D59U0zrugt7+eHWEiBAgMDxJVD6KWC3oTu+eu5oR5ZAlQPmyMJxNAQIECBwbAQEzGPjblYC1RIYpkvk1SrPfggQIECAAAECBHITEDBz65h6CRAgQIAAAQKJCwiYiTdIeQQIECBAgACB3AQEzNw6pl4CBAgQIECAQOICAmbiDVIeAQIECBAgQCA3AQEzt46plwABAgQIECCQuICAmXiDlEeAAAECBAgQyE1AwMytY+olQIAAAQIECCQuIGAm3iDlESBAgAABAgRyExAwc+uYegkQIECAAAECiQsImIk3SHkECBAgQIAAgdwEBMzcOqZeAgQIECBAgEDiAgJm4g1SHgECBAgQIEAgNwEBM7eOqZcAAQIECBAgkLiAgJl4g5RHgAABAgQIEMhNQMDMrWPqJUCAAAECBAgkLiBgJt4g5REgQIAAAQIEchMQMHPrmHoJECBAgAABAokLCJiJN0h5BAgQIECAAIHcBATM3DqmXgIECBAgQIBA4gICZuINUh4BAgQIECBAIDcBATO3jqmXAAECBAgQIJC4gICZeIOUR4AAAQIECBDITUDAzK1j6iVAgAABAgQIJC4gYCbeIOURIECAAAECBHITEDBz65h6CRAgQIAAAQKJCwiYiTdIeQQIECBAgACB3AQEzNw6pl4CBAgQIECAQOICAmbiDVIeAQIECBAgQCA3AQEzt46plwABAgQIECCQuICAmXiDlEeAAAECBAgQyE1AwMytY+olQIAAAQIECCQuIGAm3iDlESBAgAABAgRyExAwc+uYegkQIECAAAECiQsImIk3SHkECBAgQIAAgdwEBMzcOqZeAgQIECBAgEDiAgJm4g1SHgECBAgQIEAgNwEBM7eOqZcAAQIECBAgkLiAgJl4g5RHgAABAgQIEMhNQMDMrWPqJUCAAAECBAgkLiBgJt4g5REgQIAAAQIEchMQMHPrmHoJECBAgAABAokLCJiJN0h5BAgQIECAAIHcBATM3DqmXgIECBAgQIBA4gIntBWPxGtUHgECBAhUIFAzaXIFow0dToGG3Y3DuXv7JpCsgICZbGsURoAAAQIECBDIU8Al8jz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQ4Mc+yVU2AAAECwyVQM2nycO06q/027G7Mql7FEkhJ4IS24pFSQWohQIAAAQIECBDIW8Al8rz7p3oCBAgQIECAQHICAmZyLVEQAQIECBAgQCBvAQEz7/6pngABAgQIECCQnICAmVxLFESAAAECBAgQyFtAwMy7f6onQIAAAQIECCQnIGAm1xIFESBAgAABAgTyFhAw8+6f6gkQIECAAAECyQkImMm1REEECBAgQIAAgbwFBMy8+6d6AgQIECBAgEByAgJmci1REAECBAgQIEAgbwEBM+/+qZ4AAQIECBAgkJyAgJlcSxREgAABAgQIEMhbQMDMu3+qJ0CAAAECBAgkJyBgJtcSBREgQIAAAQIE8hY4Me/yVU+AAAECOQjUTJo87GU27G4c9jlMQIDA4AROaCsegxtqFAECBAgQIECAAIGBBVwiH9jICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWOD/A7EeeW0UtE6iAAAAAElFTkSuQmCC" alt></p>
<p>A uniform magnetic field also exists in the region between the plates. The direction of the field is such that the protons pass between the plates without deflection.</p>
<p>(i) State the direction of the magnetic field.</p>
<p>(ii) The magnitude of the magnetic field strength is 2.3×10<sup>–4</sup>T. Determine the magnitude of the electric field strength between the plates, stating an appropriate unit for your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Protons can be produced by the bombardment of nitrogen-14 nuclei with alpha particles. The nuclear reaction equation for this process is given below.</p>
<p>\[{}_7^{14}{\rm{N}} + {}_2^4{\rm{He}} \to {\rm{X}} + {}_1^1{\rm{H}}\]</p>
<p>Identify the proton number and nucleon number for the nucleus X.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The following data are available for the reaction in (d).</p>
<p style="padding-left: 30px;">Rest mass of nitrogen-14 nucleus =14.0031 u<br>Rest mass of alpha particle =4.0026 u<br>Rest mass of X nucleus =16.9991 u<br>Rest mass of proton =1.0073 u</p>
<p>Show that the minimum kinetic energy that the alpha particle must have in order for the reaction to take place is about 0.7 Me V.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nucleus of another isotope of the element X in (d) decays with a half-life \({T_{\frac{1}{2}}}\) to a nucleus of an isotope of fluorine-19 (F-19).</p>
<p>(i) Define the terms <em>isotope</em> and <em>half-life</em>.</p>
<p>(ii) Using the axes below, sketch a graph to show how the number of atoms <em>N</em> in a sample of X varies with time <em>t</em>, from <em>t</em>=0 to \(t = 3{T_{\frac{1}{2}}}\). There are <em>N</em><sub>0</sub> atoms in the sample at <em>t</em>=0.</p>
<p><img 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" alt></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Water at constant pressure boils at constant temperature. Outline, in terms of the energy of the molecules, the reason for this.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In an experiment to measure the specific latent heat of vaporization of water, steam at 100°C was passed into water in an insulated container. The following data are available.</p>
<p style="padding-left: 30px;">Initial mass of water in container = 0.300kg<br>Final mass of water in container = 0.312kg<br>Initial temperature of water in container = 15.2°C<br>Final temperature of water in container = 34.6°C<br>Specific heat capacity of water = 4.18×10<sup>3</sup>Jkg<sup>–1</sup>K<sup>–1</sup></p>
<p>Show that the data give a value of about 1.8×10<sup>6</sup>Jkg<sup>–1</sup> for the specific latent heat of vaporization <em>L</em> of water.</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why, other than measurement or calculation error, the accepted value of <em>L</em> is greater than that given in (h).</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about nuclear reactions and radioactive decay. <strong>Part 2</strong> is about thermal concepts.</p>
<p><strong>Part 1</strong> Nuclear reactions and radioactive decay</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Momentum</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The isotope tritium (hydrogen-3) has a radioactive half-life of 12 days. </p>
<p>(i) State what is meant by the term isotope.</p>
<p>(ii) Define <em>radioactive half-life.</em></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Tritium may be produced by bombarding a nucleus of the isotope lithium-7 with a high-energy neutron. The reaction equation for this interaction is</p>
<p style="text-align: center;">\[{}_3^7{\rm{Li}} + {}_0^1{\rm{n}} \to {}_1^3{\rm{H}} + {}_Z^4{\rm{X}} + {}_0^1{\rm{n}}\]</p>
<p>(i) Identify the proton number <em>Z</em> of X.</p>
<p>(ii) Use the following data to show that the minimum energy that a neutron must have to initiate the reaction in (b)(i) is about 2.5 MeV.</p>
<p style="text-align: center;">Rest mass of lithium-7 nucleus = 7.0160 u<br>Rest mass of tritium nucleus = 3.0161 u<br>Rest mass of X nucleus = 4.0026 u<br><br><br></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 style="text-align: left;">Assuming that the lithium-7 nucleus in (b) is at rest, suggest why, in terms of conservation of momentum, the neutron initiating the reaction must have an energy greater than 2.5 MeV.</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>Define<em> linear momentum.</em></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align: left;">A nucleus of tritium decays to a nucleus of helium-3. Identify the particles X and Y in the nuclear reaction equation for this decay.</p>
<p style="text-align: center;">\[{}_1^3{\rm{H}} \to {}_2^3{\rm{He}} + {\rm{X}} + {\rm{Y}}\]</p>
<p style="text-align: center;"> </p>
<p style="text-align: left;">X:</p>
<p style="text-align: left;">Y:</p>
<p style="text-align: left;"> </p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A sample of tritium has an activity of 8.0×10<sup>4</sup> Bq at time<em> t</em>=0. The half-life of tritium is 12 days.</p>
<p>(i) Using the axes below, construct a graph to show how the activity of the sample varies with time from <em>t</em>=0 to<em> t</em>=48 days.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) Use the graph to determine the activity of the sample after 30 days.</p>
<p>(iii) The activity of a radioactive sample is proportional to the number of atoms in the sample. The sample of tritium initially consists of 1.2×10<sup>11</sup> tritium atoms. Determine, using your answer to (e)(ii) the number of tritium atoms remaining after 30 days.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Simple harmonic oscillations</p>
<p>A longitudinal wave travels through a medium from left to right.</p>
<p>Graph 1 shows the variation with time <em>t</em> of the displacement <em>x</em> of a particle P in the medium.</p>
<p><strong>Graph 1</strong></p>
<p><strong><img src="data:image/png;base64,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" alt></strong></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For particle P,</p>
<p>(i) state how graph 1 shows that its oscillations are not damped.</p>
<p>(ii) calculate the magnitude of its maximum acceleration.</p>
<p>(iii) calculate its speed at <em>t</em>=0.12 s.</p>
<p>(iv) state its direction of motion at <em>t</em>=0.12 s.</p>
<p style="text-align: left;"> </p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Graph 2 shows the variation with position <em>d</em> of the displacement <em>x</em> of particles in the medium at a particular instant of time.</p>
<p><strong>Graph 2</strong></p>
<p><strong><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></strong></p>
<p> </p>
<p>Determine for the longitudinal wave, using graph 1 and graph 2,</p>
<p>(i) the frequency.</p>
<p>(ii) the speed.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><strong>Graph 2</strong> – reproduced to assist with answering (c)(i).</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(c) The diagram shows the equilibrium positions of six particles in the medium.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) On the diagram above, draw crosses to indicate the positions of these six particles at the instant of time when the displacement is given by graph 2.</p>
<p style="text-align: left;">(ii) On the diagram above, label with the letter C a particle that is at the centre of a compression.</p>
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<div class="question_part_label">c.</div>
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<p><strong>Part 2</strong> Unified atomic mass unit and a nuclear reaction</p>
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<p>Define the term <em>unified atomic mass unit</em>.</p>
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<div class="question_part_label">a.</div>
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<div class="column">The mass of a nucleus of rutherfordium-254 is 254.1001u. Calculate the mass in GeVc<sup>–2</sup>.</div>
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<div class="question_part_label">b.</div>
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<div class="column">In 1919, Rutherford produced the first artificial nuclear transmutation by bombarding nitrogen with \(\alpha \)-particles. The reaction is represented by the following equation. <br>
<p>\[\alpha + {}_7^{14}{\rm{N}} \to {}_8^{17}{\rm{O}} + {\rm{X}}\]</p>
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<p>(i) Identify <strong>X</strong>.</p>
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<p>(ii) The following data are available for the reaction.</p>
<p> Rest mass of \(\alpha \) = 3.7428 GeVc<sup>–2<br></sup> Rest mass of \({}_7^{14}{\rm{N}}\) = 13.0942 GeVc<sup>–2</sup> <br> Rest mass of \({}_8^{17}{\rm{O}} + {\rm{X}}\) = 16.8383 GeVc<sup>–2</sup></p>
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<p>The initial kinetic energy of the \(\alpha \)-particle is 7.68 MeV. Determine the sum of the kinetic energies of the oxygen nucleus and<strong> X</strong>. (Assume that the nitrogen nucleus is stationary.)<em><br></em></p>
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<div class="question_part_label">c.</div>
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<p>The reaction in (c) produces oxygen (O-17). Other isotopes of oxygen include O-19 which is radioactive with a half-life of 30 s.</p>
<p>(i) State what is meant by the term isotopes.</p>
<p>(i) Define the term <em>radioactive half-life</em>.</p>
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<div class="question_part_label">d.</div>
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<p>A nucleus of the isotope O-19 decays to a stable nucleus of fluorine. The half-life of O-19 is 30 s. At time <em>t</em>=0, a sample of O-19 contains a large number <em>N</em><sub>0</sub> nuclei of O-19.</p>
<p>On the grid below, draw a graph to show the variation with time <em>t</em> of the number <em>N</em> of O-19 nuclei remaining in the sample. You should consider a time of <em>t</em>=0 to <em>t</em>=120s.</p>
<p> </p>
<p><img 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" 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<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
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<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about nuclear reactions. <strong>Part 2</strong> is about thermal energy transfer.</p>
<p><strong>Part 1</strong> Nuclear reactions</p>
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<p><strong>Part 2</strong> Thermal energy transfer</p>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the term <em>unified atomic mass unit.</em></p>
<p>(ii) The mass of a nucleus of einsteinium-255 is 255.09 u. Calculate the mass in MeVc<sup>–2</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>When particle X collides with a stationary nucleus of calcium-40 (Ca-40), a nucleus of potassium (K-40) and a proton are produced.</p>
<p>\[{}_{20}^{40}{\rm{Ca + X}} \to {}_{19}^{40}{\rm{K + }}{}_1^1{\rm{p}}\]</p>
<p>The following data are available for the reaction.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Identify particle X.</p>
<p>(ii) Suggest why this reaction can only occur if the initial kinetic energy of particle X is greater than a minimum value.</p>
<p>(iii) Before the reaction occurs, particle X has kinetic energy 8.326 MeV. Determine the total combined kinetic energy of the potassium nucleus and the proton.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Potassium-38 decays with a half-life of eight minutes.</p>
<p>(i) Define the term <em>radioactive half-life</em>.</p>
<p>(ii) A sample of potassium-38 has an initial activity of 24×10<sup>12</sup>Bq. On the axes below, draw a graph to show the variation with time of the activity of the sample.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABVoAAAKICAYAAACBlkFNAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxtpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MTM3MDwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj42NDg8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KzEpwPAAAQABJREFUeAHs3Ql8VNX5//FvhCCF4j8KKlqqxCjuaGoV/RWrAlYQcAHFFQrIUtS2+gMBl7pQtYiitCKKrEqtC7IoILgQu2irtopFWy0ak1qqWIPkJ4VSQpz/nMjNTDCTWc5JcubO575eMXfm3vPc53mfeZFXHm/OzYtEN7Ehg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" alt></p>
<p>(iii) Determine the activity of the sample after 2 hours.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the <em>specific latent heat</em> of fusion of a substance.</p>
<p>(ii) Explain, in terms of the molecular model of matter, the relative magnitudes of the specific latent heat of vaporization of water and the specific latent heat of fusion of water.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A piece of ice is placed into a beaker of water and melts completely.</p>
<p>The following data are available.</p>
<p style="padding-left: 30px;">Initial mass of ice = 0.020 kg<br>Initial mass of water = 0.25 kg<br>Initial temperature of ice = 0°C<br>Initial temperature of water = 80°C<br>Specific latent heat of fusion of ice = 3.3×10<sup>5</sup>J kg<sup>–1</sup><br>Specific heat capacity of water = 4200 J kg<sup>–1</sup>K<sup>–1</sup></p>
<p>(i) Determine the final temperature of the water.</p>
<p>(ii) State <strong>two</strong> assumptions that you made in your answer to part (f)(i).</p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about kinematics and gravitation. <strong>Part 2</strong> is about radioactivity.</p>
<p><strong>Part 1</strong> Kinematics and gravitation</p>
<p>A ball is released near the surface of the Moon at time <em>t</em>=0. The point of release is on a straight line between the centre of Earth and the centre of the Moon. The graph below shows the variation with time <em>t</em> of the displacement s of the ball from the point of release.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Radioactivity</p>
<p>Two isotopes of calcium are calcium-40 \(\left( {\frac{{40}}{{20}}{\rm{Ca}}} \right)\) and calcium-47 \(\left( {\frac{{47}}{{20}}{\rm{Ca}}} \right)\). Calcium-40 is stable and calcium-47 is radioactive with a half-life of 4.5 days.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the significance of the negative values of <em>s</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the graph to</p>
<p>(i) estimate the velocity of the ball at <em>t</em> \( = \) 0.80 s.</p>
<p>(ii) calculate a value for the acceleration of free fall close to the surface of the Moon.</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>The following data are available.</p>
<p style="padding-left: 30px;">Mass of the ball <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 0.20 kg</p>
<p style="padding-left: 30px;">Mean radius of the Moon <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 1.74 \( \times \) 10<sup>6</sup> m</p>
<p style="padding-left: 30px;">Mean orbital radius of the Moon about the centre of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 3.84 \( \times \) 10<sup>8</sup> m</p>
<p style="padding-left: 30px;">Mass of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 5.97 \( \times \) 10<sup>24</sup> kg</p>
<p>Show that Earth has no significant effect on the acceleration of the ball.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of an identical ball when it falls 3.0 m from rest close to the surface of Earth. Ignore air resistance.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the graph, the variation with time<em> t</em> of the displacement<em> s</em> from the point of release of the ball when the ball is dropped close to the surface of Earth. (For this sketch take the direction towards the Earth as being negative.)</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, in terms of the number of nucleons and the forces between them, why calcium-40 is stable and calcium-47 is radioactive.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage of a sample of calcium-47 that decays in 27 days.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nuclear equation for the decay of calcium-47 into scandium-47 \(\left( {{}_{21}^{47}{\rm{Sc}}} \right)\) is given by</p>
<p>\[{}_{20}^{47}{\rm{Ca}} \to {}_{21}^{47}{\rm{Sc + }}{}_{ - 1}^0{\rm{e + X}}\]</p>
<p>(i) Identify X.</p>
<p>(ii) The following data are available.</p>
<p style="padding-left: 30px;">Mass of calcium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95455 u<br>Mass of scandium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95241 u</p>
<p>Using the data, determine the maximum kinetic energy, in MeV, of the products in the decay of calcium-47.</p>
<p>(iii) State why the kinetic energy will be less than your value in (h)(ii).</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br>