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</div><h2>SL Paper 2</h2><div class="specification">
<p>An ohmic conductor is connected to an ideal ammeter and to a power supply of output voltage V.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.57.33.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/04"></p>
<p>The following data are available for the conductor:</p>
<p> density of free electrons = 8.5 × 10<sup>22</sup> cm<sup>−3</sup></p>
<p> resistivity ρ = 1.7 × 10<sup>−8</sup> Ωm</p>
<p> dimensions w × h × l = 0.020 cm × 0.020 cm × 10 cm.</p>
<p> </p>
<p>The ammeter reading is 2.0 A.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the resistance of the conductor.</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>Calculate the drift speed <em>v </em>of the electrons in the conductor in cm s<sup>–1</sup>. State your answer to an appropriate number of significant figures.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about simple harmonic motion (SHM) and sound. <strong>Part 2 </strong>is about electric and magnetic fields.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Simple harmonic motion (SHM) and sound</p>
<p class="p1">The diagram shows a section of continuous track of a long-playing (LP) record. The stylus (needle) is placed in the track of the record.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_08.51.49.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/07_01"></p>
<p class="p1">As the LP record rotates, the stylus moves because of changes in the width and position of the track. These movements are converted into sound waves by an electrical system and a loudspeaker.</p>
<p class="p1">A recording of a single-frequency musical note is played. The graph shows the variation in horizontal acceleration of the stylus with horizontal displacement.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_08.53.18.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/07_02"></p>
</div>
<div class="specification">
<p class="p1">Sound is emitted from a loudspeaker which is outside a building. The loudspeaker emits a sound wave that has the same frequency as the recorded note.</p>
<p class="p1">A person standing at position 1 outside the building and a person standing at position 2 inside the building both hear the sound emitted by the loudspeaker.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_17.14.44.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/05_Part1.c"></p>
<p class="p1">A, B and C are wavefronts emitted by the loudspeaker.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Electric and magnetic fields</p>
<p class="p1">Electrical leads used in physics laboratories consist of a central conductor surrounded by an insulator.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the graph shows that the stylus undergoes simple harmonic motion.</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">(i) Using the graph on page 14, show that the frequency of the note being played is about 200 Hz.</p>
<p class="p1">(ii) On the graph on page 14, identify, with the letter P, the position of the stylus at which the kinetic energy is at a maximum.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Draw rays to show how the person at <strong>position 1 </strong>is able to hear the sound emitted by the loudspeaker.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The speed of sound in the air is \({\text{330 m}}\,{{\text{s}}^{ - 1}}\). Calculate the wavelength of the note.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>The walls of the room are designed to absorb sound. Explain how the person at <strong>position 2 </strong>is able to hear the sound emitted by the loudspeaker.</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 class="p1">The arrangement in (c) is changed and another loudspeaker is added. Both loudspeakers emit the same recorded note in phase with each other.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_08.22.26.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/05_Part1.d"></p>
<p class="p1">Outline why there are positions between the loudspeakers where the sound can only be heard faintly.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Distinguish between an insulator and a conductor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The diagram shows a current <em>I </em>in a vertical wire that passes through a hole in a horizontal piece of cardboard.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_08.39.08.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/05_Part2.f"></p>
<p class="p1">On the cardboard, draw the magnetic field pattern due to the current.</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 class="p1">(i) The diagram shows a length of copper wire that is horizontal in the magnetic field of the Earth.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_08.46.30.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/05_Part2.g"></p>
<p class="p1">The wire carries an electric current and the force on the wire is as shown. Identify, with an arrow, the direction of electron flow in the wire.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The horizontal component of the magnetic field of the Earth at the position of the wire is \({\text{40 }}\mu {\text{T}}\). The mass per unit length of the wire is \({\text{1.41}} \times {\text{1}}{{\text{0}}^{ - 4}}{\text{ kg}}\,{{\text{m}}^{ - 2}}\). The net force on the wire is zero. Determine the current in the wire.</p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the internal resistance of a cell.</p>
</div>
<div class="specification">
<p class="p1">A circuit is used to determine the internal resistance and emf of a cell. It consists of the cell, a variable resistor, an ideal ammeter and an ideal voltmeter. The diagram shows part of the circuit with the ammeter and voltmeter missing.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.22.20.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/02.b"></p>
<p class="p1">The variable resistor is set to \(1.5{\text{ }}\Omega \). When the cell converts 7.2 mJ of energy, 5.8 mC of charge moves completely around the circuit. The potential difference across the variable resistor is 0.55 V.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>electromotive force (emf )</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 class="p1">Draw on the diagram the positions of the ammeter and voltmeter.</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 class="p1">Show that the emf of the cell is 1.25 V.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the internal resistance of the cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the energy dissipated per second in the variable resistor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</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 kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>is about electrical circuits.</p>
<p class="p1"><strong>Part 1 </strong>Kinematics and Newton’s laws of motion</p>
<p class="p1">Cars I and B are on a straight race track. I is moving at a constant speed of \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and B is initially at rest. As I passes B, B starts to move with an acceleration of \({\text{3.2 m}}\,{{\text{s}}^{ - 2}}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.13.17.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06"></p>
<p class="p1">At a later time B passes I. You may assume that both cars are point particles.</p>
</div>
<div class="specification">
<p class="p1">A third car O with mass 930 kg joins the race. O collides with I from behind, moving along the same straight line as I. Before the collision the speed of I is \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and its mass is 850 kg. After the collision, I and O stick together and move in a straight line with an initial combined speed of \({\text{52 m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="specification">
<p>This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>Electrical circuits</p>
<p class="p1">The circuit shown is used to investigate how the power developed by a cell varies when the load resistance \(R\) changes.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.20.36.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_01"></p>
<p class="p1">The variable resistor is adjusted and a series of current and voltage readings are taken. The graph shows the variation with \(R\) of the power dissipated in the cell and the power dissipated in the variable resistor.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.22.40.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_02"></p>
</div>
<div class="specification">
<p class="p1">The cell has an internal resistance.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the time taken for B to pass I is approximately 28 s.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the distance travelled by B in this time.</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">B slows down while I remains at a constant speed. The driver in each car wears a seat belt. Using Newton’s laws of motion, explain the difference in the tension in the seat belts of the two cars.</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">Calculate the speed of O immediately before the collision.</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">The duration of the collision is 0.45 s. Determine the average force acting on O.</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 class="p1">An ammeter and a voltmeter are used to investigate the characteristics of a variable resistor of resistance \(R\). State how the resistance of the ammeter and of the voltmeter compare to \(R\) so that the readings of the instruments are reliable.</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 class="p1">Show that the current in the circuit is approximately 0.70 A when \(R = 0.80{\text{ }}\Omega \).</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 class="p1">Outline what is meant by the internal resistance of a cell.</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">Determine the internal resistance of the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the electromotive force (emf) of the cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</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 motion of a car. <strong>Part 2 </strong>is about electricity.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a car</p>
</div>
<div class="specification">
<p class="p1">A car is travelling along the straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
</div>
<div class="specification">
<p class="p1">A driver moves the car in a horizontal circular path of radius 200 m. Each of the four tyres will not grip the road if the frictional force between a tyre and the road becomes less than 1500 N.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Electricity</p>
</div>
<div class="specification">
<p class="p1">A lemon can be used to make an electric cell by pushing a copper rod and a zinc rod into the lemon.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_17.27.58.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d"></p>
<p class="p1">A student constructs a lemon cell and connects it in an electrical circuit with a variable resistor. The student measures the potential difference <em>V </em>across the lemon and the current <em>I </em>in the lemon.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A car accelerates uniformly along a straight horizontal road from an initial speed of \({\text{12 m}}\,{{\text{s}}^{ - 1}}\) to a final speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\) in a distance of 250 m. The mass of the car is 1200 kg. Determine the rate at which the engine is supplying kinetic energy to the car as it accelerates.</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">A car is travelling along a straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the total resistive force acting on the car when it is travelling at a constant speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>The mass of the car is 1200 kg. The resistive force \(F\) is related to the speed \(v\) by \(F \propto {v^2}\). Using your answer to (b)(i), determine the maximum theoretical acceleration of the car at a speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the maximum speed of the car at which it can continue to move in the circular path. Assume that the radius of the path is the same for each tyre.</p>
<p class="p1">(ii) While the car is travelling around the circle, the people in the car have the sensation that they are being thrown outwards. Outline how Newton’s first law of motion accounts for this sensation.</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 class="p1">(i) <span class="Apple-converted-space"> </span>Draw a circuit diagram of the experimental arrangement that will enable the student to collect the data for the graph.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the potential difference \(V\) across the lemon is given by</p>
<p class="p1">\[V = E - Ir\]</p>
<p class="p1">where \(E\) is the emf of the lemon cell and \(r\) is the internal resistance of the lemon cell.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>The graph shows how \(V\) varies with \(I\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_09.50.40.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d.iii"></p>
<p class="p2">Using the graph, estimate the emf of the lemon cell.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Determine the internal resistance of the lemon cell.</p>
<p class="p2">(v) <span class="Apple-converted-space"> </span>The lemon cell is used to supply energy to a digital clock that requires a current of \({\text{6.0 }}\mu {\text{A}}\). The clock runs for 16 hours. Calculate the charge that flows through the clock in this time.</p>
<div class="marks">[10]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A heater in an electric shower has a power of 8.5 kW when connected to a 240 V electrical supply. It is connected to the electrical supply by a copper cable.</p>
<p>The following data are available:</p>
<p style="padding-left: 120px;">Length of cable = 10 m<br>Cross-sectional area of cable = 6.0 mm<sup>2</sup><br>Resistivity of copper = 1.7 × 10<sup>–8</sup> Ω m</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the current in the copper cable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the resistance of the cable.</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>Explain, in terms of electrons, what happens to the resistance of the cable as the temperature of the cable increases.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The heater changes the temperature of the water by 35 K. The specific heat capacity of water is 4200 J kg<sup>–1</sup> K<sup>–1</sup>.</p>
<p>Determine the rate at which water flows through the shower. State an appropriate unit for your answer.</p>
<div class="marks">[4]</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 lightning discharge. <strong>Part 2 </strong>is about fuel for heating.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Lightning discharge</p>
</div>
<div class="specification">
<p class="p1">The magnitude of the electric field strength \(E\) between two infinite charged parallel plates is given by the expression</p>
<p class="p1">\[E = \frac{\sigma }{{{\varepsilon _0}}}\]</p>
<p class="p1">where \(\sigma \) is the charge per unit area on one of the plates.</p>
<p class="p1">A thundercloud carries a charge of magnitude 35 C spread over its base. The area of the base is \(1.2 \times {10^7}{\text{ }}{{\text{m}}^{\text{2}}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Fuel for heating</p>
</div>
<div class="specification">
<p class="p1">A room heater burns liquid fuel and the following data are available.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Density of liquid fuel}}}&{ = 8.0 \times {{10}^2}{\text{ kg}}\,{{\text{m}}^{ - 3}}} \\ {{\text{Energy produced by 1 }}{{\text{m}}^{\text{3}}}{\text{ of liquid fuel}}}&{ = 2.7 \times {{10}^{10}}{\text{ J}}} \\ {{\text{Rate at which fuel is consumed}}}&{ = 0.13{\text{ g}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Latent heat of vaporization of the fuel}}}&{ = 290{\text{ kJ}}\,{\text{k}}{{\text{g}}^{ - 1}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>electric field strength</em>.</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">A thundercloud can be modelled as a negatively charged plate that is parallel to the ground.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_07.24.35.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B2.Part1.b"></p>
<p class="p1">The magnitude of the charge on the plate increases due to processes in the atmosphere. Eventually a current discharges from the thundercloud to the ground.</p>
<p class="p1">On the diagram, draw the electric field pattern between the thundercloud base and the ground.</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>Determine the magnitude of the electric field between the base of the thundercloud and the ground.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State <strong>two </strong>assumptions made in (c)(i).</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>When the thundercloud discharges, the average discharge current is 1.8 kA. Estimate the discharge time.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>The potential difference between the thundercloud and the ground before discharge is \(2.5 \times {10^8}{\text{ V}}\). Determine the energy released in the discharge.</p>
<div class="marks">[12]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define the <em>energy density </em>of a fuel.</p>
<div class="marks">[1]</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>Use the data to calculate the power output of the room heater, ignoring the power required to convert the liquid fuel into a gas.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show why, in your calculation in (b)(i), the power required to convert the liquid fuel into a gas at its boiling point can be ignored.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State, in terms of molecular structure and their motion, <strong>two </strong>differences between a liquid and a gas.</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<br><hr><br><div class="specification">
<p>An electron moves in circular motion in a uniform magnetic field.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_18.05.11.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/05"></p>
<p>The velocity of the electron at point P is 6.8 × 10<sup>5</sup> m s<sup>–1</sup> in the direction shown.</p>
<p>The magnitude of the magnetic field is 8.5 T.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of the magnetic field.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in N, the magnitude of the magnetic force acting on the electron.</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>Explain why the electron moves at constant speed.</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>Explain why the electron moves on a circular path.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a potential divider circuit used to measure the emf <em>E </em>of a cell X. Both cells have negligible internal resistance.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_13.01.10.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/04"></p>
</div>
<div class="specification">
<p>AB is a wire of uniform cross-section and length 1.0 m. The resistance of wire AB is 80 Ω. When the length of AC is 0.35 m the current in cell X is zero.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the emf of a cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the resistance of the wire AC is 28 Ω.</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>Determine <em>E</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electric potential difference and electric circuits</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Ionized hydrogen atoms are accelerated from rest in the vacuum between two vertical parallel conducting plates. The potential difference between the plates is <em>V</em>. As a result of the acceleration each ion gains an energy of 1.9×10<sup>–18</sup>J.</p>
<p>Calculate the value of <em>V</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>The plates in (a) are replaced by a cell that has an emf of 12.0 V and internal resistance 5.00 Ω. A resistor of resistance <em>R</em> is connected in series with the cell. The energy transferred by the cell to an electron as it moves through the resistor is 1.44 ×10<sup>–18</sup> J.</p>
<p>(i) Define <em>resistance</em> of a resistor.</p>
<p>(ii) Describe what is meant by internal resistance.</p>
<p>(iii) Show that the value of <em>R</em> is 15.0 Ω.</p>
<p>(iv) Calculate the total power supplied by the cell.</p>
<p> </p>
<div class="marks">[8]</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 energy resources. <strong>Part 2 </strong>is about electric fields.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Energy resources</p>
</div>
<div class="specification">
<p class="p1">A photovoltaic panel is made up of a collection (array) of photovoltaic cells. The panel has a total area of \({\text{1.3 }}{{\text{m}}^{\text{2}}}\) and is mounted on the roof of a house. The maximum intensity of solar radiation at the location of the panel is \({\text{750 W}}\,{{\text{m}}^{ - 2}}\). The panel produces a power output of 210 W when the solar radiation is at its maximum intensity.</p>
</div>
<div class="specification">
<p class="p1">The owner of the house chooses between photovoltaic panels and solar heating panels to provide 4.2 kW of power to heat water. The solar heating panels have an efficiency of 70%. The maximum intensity of solar radiation at the location remains at \({\text{750 W}}\,{{\text{m}}^{ - 2}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Electric fields</p>
<p class="p1">An isolated metal sphere is placed in a vacuum. The sphere has a negative charge of magnitude 12 nC.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_10.12.42.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/06_Part2"></p>
</div>
<div class="specification">
<p class="p1">Outside the sphere, the electric field strength is equivalent to that of a point negative charge of magnitude 12 nC placed at the centre of the sphere. The radius \(r\)<em> </em>of the sphere is 25 mm.</p>
</div>
<div class="specification">
<p class="p1">An electron is initially at rest on the surface of the sphere.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The Sun is a renewable energy source whereas a fossil fuel is a non-renewable energy source. Outline the difference between renewable and non-renewable energy sources.</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">With reference to the energy transformations and the operation of the devices, distinguish between a photovoltaic cell and a solar heating panel.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the efficiency of the photovoltaic panel.</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">State <strong>two </strong>reasons why the intensity of solar radiation at the location of the panel is not constant.</p>
<p class="p1"> </p>
<p class="p1">1.</p>
<p class="p1"> </p>
<p class="p1">2.</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 class="p1">Calculate the minimum area of solar heating panel required to provide this power.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Comment on whether it is better to use a solar heating panel rather than an array of photovoltaic panels for the house. Do not consider the installation cost of the panels in your answer.</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">Using the diagram, draw the electric field pattern due to the charged sphere.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the magnitude of the electric field strength at the surface of the sphere is about \(2 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.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 of the electric field strength \(E\) with distance \(d\) from the centre of the sphere.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_14.39.55.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/06.g.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">g.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the initial acceleration of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the subsequent motion of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw the complete diagram of the circuit that uses a potential divider, ammeter, voltmeter and cell to measure the current-voltage characteristics for component X.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_05.46.50.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/A3.a"></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph shows the current-voltage characteristics for the component X.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-10_om_05.51.30.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/A3.b"></p>
<p class="p1">Component X is now connected across the terminals of a cell of emf 2.0 V and negligible internal resistance. Use the graph to show that the resistance of X is \({\text{0.83 }}\Omega \).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Gravitational fields and electric fields</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnitude of gravitational field strength <em>g</em> is defined from the equation shown below.</p>
<p>\[g = \frac{{{F_g}}}{m}\]</p>
<p>The magnitude of electric field strength <em>E</em> is defined from the equation shown below.</p>
<p>\[E = \frac{{{F_E}}}{q}\]</p>
<p>For each of these defining equations, state the meaning of the symbols</p>
<p>(i) <em>F</em><sub>g</sub>.</p>
<p>(ii) <em>F</em><sub>E</sub>.</p>
<p>(iii) <em>m</em>.</p>
<p>(iv) <em>q</em>.</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>In a simple model of the hydrogen atom, the electron is regarded as being in a circular orbit about the proton. The magnitude of the electric field strength at the electron due to the proton is <em>E</em><sub>p</sub>. The magnitude of the gravitational field strength at the electron due to the proton is <em>g</em><sub>p</sub>.</p>
<p>(i) Draw the electric field pattern of the proton alone.</p>
<p>(ii) Determine the order of magnitude of the ratio shown below.</p>
<p>\[\frac{{{E_p}}}{{{g_p}}}\]</p>
<div class="marks">[5]</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 electric charge and electric circuits. <strong>Part 2</strong> is about momentum.</p>
<p><strong>Part 1</strong> Electric charge and electric circuits</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Coulomb’s law.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a simple model of the hydrogen atom, the electron can be regarded as being in a circular orbit about the proton. The radius of the orbit is 2.0×10<sup>–10 </sup>m.</p>
<p>(i) Determine the magnitude of the electric force between the proton and the electron.</p>
<p>(ii) Calculate the magnitude of the electric field strength <em>E</em> and state the direction of the electric field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton.</p>
<p>(iii) The magnitude of the gravitational field due to the proton at a distance of 2.0×10<sup>–10</sup> m from the proton is <em>H.</em><br>Show that the ratio \(\frac{H}{E}\) is of the order 10<sup>–28</sup>C kg<sup>–1</sup>.</p>
<p>(iv) The orbital electron is transferred from its orbit to a point where the potential is zero. The gain in potential energy of the electron is 5.4×10<sup>–19</sup>J. Calculate the value of the potential difference through which the electron is moved.</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>An electric cell is a device that is used to transfer energy to electrons in a circuit. A particular circuit consists of a cell of emf <em>ε</em> and internal resistance <em>r</em> connected in series with a resistor of resistance 5.0 Ω.</p>
<p>(i) Define<em> emf of a cell.</em></p>
<p>(ii) The energy supplied by the cell to one electron in transferring it around the circuit is 5.1×10<sup>–19</sup>J. Show that the emf of the cell is 3.2V.</p>
<p>(iii) Each electron in the circuit transfers an energy of 4.0×10<sup>–19</sup> J to the 5.0 Ω resistor. Determine the value of the internal resistance <em>r.</em></p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electric motor</p>
<p>An electric motor is used to raise a load.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is negligible compared to the weight of the load.</p>
<p>(i) Draw a labelled free-body force diagram of the forces acting on the accelerating load. The dot below represents the load.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) The load has a mass of 350 kg and it takes 6.5 s to raise it from rest through a height of 8.0 m.</p>
<p>Determine the tension in the cable as the load is being raised.</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>The electric motor can be adjusted such that, after an initial acceleration, the load moves at constant speed. The motor is connected to a 450 V supply and with the load moving at constant speed, it takes the motor 15 s to raise the load through 7.0 m.</p>
<p>(i) Calculate the power delivered to the load by the motor.</p>
<p>(ii) The current in the motor is 30 A. Estimate the efficiency of the motor.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Electrical resistors can be made by forming a thin film of carbon on a layer of an insulating material.</p>
</div>
<div class="specification">
<p>A carbon film resistor is made from a film of width 8.0 mm and of thickness 2.0 μm. The diagram shows the direction of charge flow through the resistor.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The resistance of the carbon film is 82 Ω. The resistivity of carbon is 4.1 x 10<sup>–5</sup> Ω m. Calculate the length <em>l</em> of the film.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The film must dissipate a power less than 1500 W from each square metre of its surface to avoid damage. Calculate the maximum allowable current for the resistor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State why knowledge of quantities such as resistivity is useful to scientists.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The current direction is now changed so that charge flows vertically through the film.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Deduce, without calculation, the change in the resistance.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a circuit diagram to show how you could measure the resistance of the carbon-film resistor using a potential divider arrangement to limit the potential difference across the resistor.</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 electric and magnetic fields.</p>
<p>A proton travelling to the right with horizontal speed 1.6×10<sup>4</sup>ms<sup>–1</sup> enters a uniform electric field of strength <em>E</em>. The electric field has magnitude 2.0×10<sup>3</sup>NC<sup>–1</sup> and is directed downwards.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnitude of the electric force acting on the proton when it is in the electric field.</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 uniform magnetic field is applied in the same region as the electric field. A second proton enters the field region with the same velocity as the proton in (a). This second proton continues to move horizontally.</p>
<p>(i) Determine the magnitude and direction of the magnetic field.</p>
<p>(ii) An alpha particle enters the field region at the same point as the second proton, moving with the same velocity. Explain whether or not the alpha particle will move in a straight line.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the properties of tungsten.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Tungsten is a conductor used as the filament of an electric lamp. The filament of the lamp is surrounded by glass which is an insulator.</p>
<p>Outline, in terms of their atomic structure, the difference between the electrical properties of tungsten and of glass.</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 tungsten filament lamp is marked 6.0 V, 15 W.</p>
<p>(i) Show that the resistance of the lamp at its working voltage is 2.4 Ω.</p>
<p>(ii) The length of the filament is 0.35 m and the resistivity of tungsten is 5.6×10<sup>–7 </sup>Ω m at its working voltage.</p>
<p>Calculate the cross-sectional area of the tungsten filament.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows part of a potential divider circuit used to measure the current-potential difference (<em>I</em>–<em>V</em>) characteristic of the bulb.</p>
<p><img 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/8e9p2wPfsJPwQIECBAgAABAgQIECBAgAABAgQIECCQvMDLkt+BDRAgQIAAAQIECBAgQIAAAQIECBAgQIBAr4DA1y8CAQIECBAgQIAAAQIECBAgQIAAAQIEKiIg8K1II22DAAECBAgQIECAAAECBAgQIECAAAECAl+/AwQIECBAgAABAgQIECBAgAABAgQIEKiIgMC3Io20DQIECBAgQIAAAQIECBAgQIAAAQIECAh8/Q4QIECAAAECBAgQIECAAAECBAgQIECgIgIC34o00jYIECBAgAABAgQIECBAgAABAgQIECAg8PU7QIAAAQIECBAgQIAAAQIECBAgQIAAgYoI7FfrPqZPnVbrEtcTIECAAAECBAgQIECAAAECBAgQIECAwG4KbNzUOeaVNQe+PXeu5QPGXIkLCRAgQIAAAQIECBAgQIAAAQIECBAgQCAnUOsDuI50yPEZECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXQGBb7q9UzkBAgQIECBAgAABAgQIECBAgAABAgRyAgLfHIcBAQIECBAgQIAAAQIECBAgQIAAAQIE0hUQ+KbbO5UTIECAAAECBAgQIECAAAECBAgQIEAgJyDwzXEYECBAgAABAgQIECBAgAABAgQIECBAIF0BgW+6vVM5AQIECBAgQIAAAQIECBAgQIAAAQIEcgIC3xyHAQECBAgQIECAAAECBAgQIECAAAECBNIVEPim2zuVEyBAgAABAgQIECBAgAABAgQIECBAICcg8M1xGBAgQIAAAQIECBAgQIAAAQIECBAgQCBdAYFvur1TOQECBAgQIECAAAECBAgQIECAAAECBHICAt8chwEBAgQIECBAgAABAgQIECBAgAABAgTSFRD4pts7lRMgQIAAAQIECBAgQIAAAQIECBAgQCAnIPDNcRgQIECAAAECBAgQIECAAAECBAgQIEAgXYH90i1d5QQIEKi2wPSp06q9QbsjkJDAxk2dCVWrVAIECBAgQIAAAQIEGllA4NvI3bd3AgRKLyBkKn2LFNgAAv7HlwZosi0SIECAAAECBAgQqJCAIx0q1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJCHwr1ExbIUCAAAECBAgQIECAAAECBAgQIECgsQUEvo3df7snQIAAAQIECBAgQIAAAQIECBAgQKBCAgLfCjXTVggQIECAAAECBAgQIECAAAECBAgQaGwBgW9j99/uCRAgQIAAAQIECBAgQIAAAQIECBCokIDAt0LNtBUCBAgQIECAAAECBAgQIECAAAECBBpbQODb2P23ewIECBAgQIAAAQIECBAgQIAAAQIEKiQg8K1QM22FAAECBAgQIECAAAECBAgQIECAAIHGFhD4Nnb/7Z4AAQIECBAgQIAAAQIECBAgQIAAgQoJ7FehvdgKAQIECBAgQGBYgelTpw373mhv1LN246bO0W7vfQIECBAgQIAAAQIECIybgMB33CjdiAABAgQIECi7wN4OX+sJistuqT4CBAgQIECAAAECBMop4EiHcvZFVQQIECBAgAABAgQIECBAgAABAgQIEKhZQOBbM5kFBAgQIECAAAECBAgQIECAAAECBAgQKKeAwLecfVEVAQIECBAgQIAAAQIECBAgQIAAAQIEahYQ+NZMZgEBAgQIECBAgAABAgQIECBAgAABAgTKKSDwLWdfVEWAAAECBAgQIECAAAECBAgQIECAAIGaBQS+NZNZQIAAAQIECBAgQIAAAQIECBAgQIAAgXIKCHzL2RdVESBAgAABAgQIECBAgAABAgQIECBAoGYBgW/NZBYQIECAAAECBAgQIECAAAECBAgQIECgnAIC33L2RVUECBAgQIAAAQIECBAgQIAAAQIECBCoWUDgWzOZBQQIECBAgAABAgQIECBAgAABAgQIECingMC3nH1RFQECBAgQIECAAAECBAgQIECAAAECBGoWEPjWTGYBAQIECBAgQIAAAQIECBAgQIAAAQIEyikg8C1nX1RFgAABAgQIECBAgAABAgQIECBAgACBmgUEvjWTWUCAAAECBAgQIECAAAECBAgQIECAAIFyCgh8y9kXVREgQIAAAQIECBAgQIAAAQIECBAgQKBmAYFvzWQWECBAgAABAgQIECBAgAABAgQIECBAoJwCAt9y9kVVBAgQIECAAAECBAgQIECAAAECBAgQqFlA4FszmQUECBAgQIAAAQIECBAgQIAAAQIECBAop4DAt5x9URUBAgQIECBAgAABAgQIECBAgAABAgRqFhD41kxmAQECBAgQIECAAAECBAgQIECAAAECBMopIPAtZ19URYAAAQIECBAgQIAAAQIECBAgQIAAgZoFBL41k1lAgAABAgQIECBAgAABAgQIECBAgACBcgoIfMvZF1URIECAAAECBAgQIECAAAECBAgQIECgZgGBb81kFhAgQIAAAQIECBAgQIAAAQIECBAgQKCcAgLfcvZFVQQIECBAgAABAgQIECBAgAABAgQIEKhZQOBbM5kFBAgQIECAAAECBAgQIECAAAECBAgQKKeAwLecfVEVAQIECBAgQIAAAQIECBAgQIAAAQIEahYQ+NZMZgEBAgQIECBAgAABAgQIECBAgAABAgTKKSDwLWdfVEWAAAECBAgQIECAAAECBAgQIECAAIGaBQS+NZNZQIAAAQIECBAgQIAAAQIECBAgQIAAgXIK7FfOslRFgACB6glMmDCh5k3Vumb79u01f4YFBAgQIECAAAECBAgQIECAQHUEBL7V6aWdECBQcgFhbMkbpDwCBAgQIECAAAECBAgQIFABAUc6VKCJtkCAAAECBAgQIECAAAECBAgQIECAAIEeAYGv3wMCBAgQIECAAAECBAgQIECAAAECBAhUREDgW5FG2gYBAgQIECBAgAABAgQIECBAgAABAgQEvn4HCBAgQIAAAQIECBAgQIAAAQIECBAgUBEBgW9FGmkbBAgQIECAAAECBAgQIECAAAECBAgQEPj6HSBAgAABAgQIECBAgAABAgQIECBAgEBFBAS+FWmkbRAgQIAAAQIECBAgQIAAAQIECBAgQEDg63eAAAECBAgQIECAAAECBAgQIECAAAECFREQ+FakkbZBgAABAgQIECBAgAABAgQIECBAgACB/RAQIECAwO4JTJgwYfcWlmjV9u3bS1SNUggQIECAAAECBAgQIECAAIF6BQS+9QpaT4BAwwrs6bC0J1De05/RsM2zcQIECBAgQIAAAQIECBAgUFEBRzpUtLG2RYAAAQIECBAgQIAAAQIECBAgQIBA4wkIfBuv53ZMgAABAgQIECBAgAABAgQIECBAgEBFBQS+FW2sbREgQIAAAQIECBAgQIAAAQIECBAg0HgCAt/G67kdEyBAgAABAgQIECBAgAABAgQIECBQUQGBb0Uba1sECBAgQIAAAQIECBAgQIAAAQIECDSegMC38XpuxwQIJCKwffv2RCpVJgECBAgQIECAAAECBAgQIFAWAYFvWTqhDgIECBAgQIAAAQIECBAgQIAAAQIECNQpIPCtE9ByAgQIECBAgAABAgQIECBAgAABAgQIlEVA4FuWTqiDAAECBAgQIECAAAECBAgQIECAAAECdQoIfOsEtJzAHhPY1hGrv3hlnHH4G2Jx+7Y99jFuTIAAAQIECBAgQIAAAQIECBAgUB2B/aqzFTshMJzAS7GpfVU8vOHp+PrNK+Pprp7rjo2PrlsRC6Y1D1m0LdZdcWosWLllyPzg4f5x9NX3x30Ljxg8Oej1hmg7fXYsXf/SoLmBl8N97sD73bGt44G4+84vx6dWro/eUmNyHDnwtr8JECBAgAABAgQIECBAgAABAgQIjCDgCd8RcLyVukBP0PupWHjcjJg5/5pY+pWt8cYr/iZuWvOD2LhpZUHY27PfiXHSjY/HhnW3xiUzpwwBmBKt77811m78yQhhb8+SI2LB1zpi7W0fiNbJA4HygXH02Utj1Y/uHOZz+z+q65G4/p1t8YPnX+wPe4eUYEiAAAECBAgQIECAAAECBAgQIEBgBAGB7wg43kpYoLszHr7qnDhl/meifetRMe/G1fHUE21xxcJ3x9yWSaNurGnarPjwrcvjo68/cOe1+78xzv/grJjatHNq+Ff7x9TWD8T1H3lzNGf/mnz2zfGVG8+NlomjLG4+Ka5/+uux/Pa746aZE4e//d5+Z+sDceNtG0b+1LFcM/IdvDtEYMKECUNmDAkQIECAAAECBAgQIECAAAECIwsIfEf28W6KAtsejxvnzI5FX82ORJj8trjp23fH9We3ZM/u1vjTdHjMueC4LK7t/3mpMzZu7jtkYWBq5L//I5776c+iq/nNcdmVrTV+/gFx0KT9R779Xnv399HR1hbf6x7pA8dyzUjrvUeAAAECBAgQIECAAAECBAgQIDAeAgLf8VB0j/IIdD8TbfMXxbL1v4noCXvvvCnmTtvd4LQpJp2xKOZPGYh8fxT/mJ2rO2LuOVii+yfx0APPxeQ586J10ihP9g5e1/v6j2La4f9ll9l9MdG9cUUsaRv56d6xXLMvaveZBAgQSFmgo6MjtmwZ6Uz5lHendgIECBAgQIAAAQIE9pSAwHdPybrvPhB4IdZ99L2x9IdZ2BuHxrxP/E0dYW9/+U1Hxay3T+sfdMXmBx6O9WNMfLvXPxzf2PyamH3e8TU+3bsP6Ib7yOxp6Zsv/Wx0jPRg81iuGe7+5gkQIEBgF4GeoPd/XHBBnDVnbvziF7/Y5X0TBAgQIECAAAECBAgQGElA4DuSjvcSEuiObdkXtP3PlT/Lau45M/fqWNx68DjUf0C0LFgUrQMP+W6+K75w38/HcN8X4pE7H4zNU1pj1owDxnB9+S7p7vxmXP3O/qelhylvLNcMs9Q0AQIECAwRGBz0Pv7Y94a8a0iAAAECBAgQIECAAIGxCQh8x+bkqrILbGuP669aFb3/4GvzMfHuRSeM31O1k06I8+cc2i+wLR795hOxdTSPrY/GV9f8KlovfUe01Hqaw7D3zkLtjtVx40UnxPSp03r/HHn6ldHW3jn6MRPZl9itu+2zsfj0GTvWTp96RBx/0dJou7cjtuU+c2t0LH9PnHjSJXFXz9EYvT8vxdNL/mrn2iPfFTd+frRrrox1RU8GF9ZyQiy84Y5Y1/lSrpKdg6ymez+f1f8XccbynuMleizu6t9Pzz6WR8e2n0Tb6UftrLHfqM/qDbG4Pb/L6FweZ+SuyUxPXx6bdn6oVwQIENgrAoLevcLsQwgQIECAAAECBAg0jIDAt2FaXeWNdsfWtffEfVv60sXmE+fFnOm7e25vkdPBceJ5p8aU/re61i6LL3X8vujC/rmXYuPqe+LRODZOffMhI1xXy1s9IezFcdqcy2LZ2s07FnatXxlL58+OM294fEhou+OSiP4vsVvwdytj24VrYsOm7MvnNrbHsvOPytxujaWXnROnXfHQoPWTomXhrfFYdt0zt50dfZL7x9FX/6/Y2LO2588zX4krLhntmhvipIEno/vL6e5cGe89fm58+pmD45w7OrJ7/TSeWrM05s34VbTfcm0seMv5ceNTO+P07s518eUbFsTxU/88zrrsk3FPbwD9h+xp7msyi4/2j7tiy9ovxBfWvjIWfO2fYtXVs2Lyju33PO19azy16fG4vnXI1/ZNWxj3bXosbprZMz8lWq9eFU99bWFM3bF237/Yvn37vi9CBQQI7DEBQe8eo3VjAgQIECBAgAABAg0tIPBt6PZXZfPPx3e/+WT0xb0T44S3HhbP3fvlaOsNCvuehO15ynPMT8MWsDS1vCM+2BsM9rzZGfff+diggHTIgu4fx723/ygOyY6CmF3zl7UNuVfv8Hfx4394X3zoielx2Zof9AWuWWDb9v6Z/cHmb+LpWxbFguXPFDzp+/NYfdn7er/ErnnmpbHkzOnR+8Bx07Q4+eM3xOWvPzD7hCwwXfnJuHXEELuortrmesLeS85bGv9+0Z1x743nRsvEnkqaYmLLuXH9HTfHvMlZOtzVEcvOfX+0bex50vfncf91H47rblnb9+R2/8d1P7Ms3vu5SfGZH23IwuKrorVn3eT/Hqe+/lXZFT1h9ZK47uyBJ7Kb4uDDDx31ae/m178zFs8/ZtTr+kvwFwECBOoSEPTWxWcxAQIECBAgQIAAAQKjCAh8RwHydgICW5+IBx8Z+Mf1t0X74mvi7henxsmXt/U+pbrxR6vj+rNnRPQ+DftXceJ7VsamMX7x2s7dHxKtF5zaH7BmAemae6J9a9FNsqMGvntv3J99WdtpbzmqL1zdeZPdftX03z4Yt996ZcxtmdR3jyywPenyz8UdVx+XnVjc8/Ob6PjSHfHItiE1dX4j7ljbZ9M06aB4Rd/qvn9vek0c85ev7p/5dbz4y/83+N1xft0T3i6Nh+LUuGTe4bu6TDw+zpnT/+V4XU/FP676cRZe/2nM/VLfU8D/fPOs/n2+FP/na1vi5JsuiWMmNmdh8cJY/sSG2PjEZwd9Qd/BcdJVV/cFyJEdRXH7mugYwrJjc72/OxEnXHBaTB+3ozd23N0LAgQI5AQEvTkOAwIECBAgQIAAAQIE9pDAfnvovm5LYK8JdP3v78f3Bs6KnXxetH3r43FS79Oj/SVMbIl5N7bFH8e8WJB9qduWb18Xl982I+5eeOSuweOwVWdPor7pzJg9ZVUs25x9WNd34tNtP4rZVx4z5B7PR/uKB2PrzGviopbx+rK2P4ojT35jTN0lkNw/ps+/Ni5/8OxY+sPsrN0tD8ZX174/TjrzT4fdRf6N5jjoVa/sn9oWz2z8t4ihxx7kF+z2qLvjH+PTWfDcPPPPY8bg3uy443+O1xx2aBbqbsieN+6KzQ88HOsvP6b//OOmeMVBB/U6d2VXTFlwebx7tCM7+gPke27Jzvvd/GDc/d350bLLl/j1H71xyLlx5xljNdtRsBcECBAYs8Bvf/vb+NAHPhjr2tvHvGbgwrPmzB14uU//7jnOxw8BAgQIECBAgAABAmkICHzT6JMqhxXoiv+7sTN7jrPvp/m1wwWK2VOfV34gWtdcFu1d2dOwN/593D/3lphby5ELTa+NMy88Jm5b8kRBKNlfwMATo9cflx0usBd+mg6PORccF5/84UNZTb+LDT/9Re+TsTuy4decEG/Ljm14+unD4sJzZvQ/JbsX6sp9RFf86w+eit6Th9deFn8x9bLcu4WDf38xtv0he2fHRgauaspC6gN3nR54e8ffB0RLdqRGa1tPv38W933uvlj4poX5p3gHjt54++UxY5fP2XEjLwgQIFC3wMtf/vK47hNLYtktX4w7br+9pvutWrM6WlpaalrjYgIECBAgQIAAAQIEGlvAkQ6N3f/K7X6XYwsG73DScXHqif1f3NX1ZDz4necHvzuG19kTtXPnxQkDX0S2+a74wn0/H7Tu99HRtizaJ50a588cry9rG3T7wpfZk8d/Nj36Pq0rnt/ws/zZwk1HxoLV62Pjs6vjimMGIujs2ImO+7Izji+OC5Y8WXjX8Z38XXQ++6+9t9z/7NvimZ4vfRvtzzO7fuFbzTVNOiXet+CI3mVdP1wV967Pf9Fe9/qH4xvjfPRGzTVaQIBAwwhMnjw5rv3Y38ZjTzwe77zwwobZt40SIECAAAECBAgQILD3BQS+e9/cJ+4zgUPiTW89tv8p123xve//S/ZUbI0/g0LEyKLVR1d8IzYOnA/b/ZN46IHnYsqcM+PEwmMLavysMV7eNPFVcVD/tV0vbM1O8x3uZ2t03Pv5WHx6Sxx37ePRffC8uG7xscNdPI7zv49fbu17Brt76y/j1+N455FvdUDMOOusaOkN6DfEbZ/7VmzdseCFeOTOB+P5mYvG8eiNHTf3ggABAsMKCH6HpfEGAQIECBAgQIAAAQLjJCDwHSdIt9lXAi+LA181cYxHFew8C3b3qx0cImZH+e54crQ7tt63LG57/nXxjrNeO4YjB3a/gpFWNh88KQ7c5YKXYlP7p2LhcW+I825/Lg770P3x46/dEIvmt8a0vXKUwW/jxRf6At+uf3k2nhsIyHepc/wnmqafFuf3P9XdtXZZfKmj/ynfrY/GV9f8Kk546146emM3tzZhwoTdXGkZAQJlFxD8lr1D6iNAgAABAgQIECCQroDAN93eqbxXYPCRBhGjPUHaPO2wOLx3XXP88aRXxO78H8DgEDGyLxnre3L0+fjuN7PjEU6cF3NG+0KxPda55jjkiEOj/9CK/k/ZGk/dcH6cMv8z8eifLIoVd3wiFrRO28uB9J/E9CP7q9rcHg8NOVphV44sPH/gvnik5sevd71TxJ/G7PefG1N63+qM++98LHsuO7v/d74Vj8axceqb99bRG0W1mSNAgECE4NdvAQECBAgQIECAAAEC4y2wO3nXeNfgfgTqEmiacXKcNqXvYN2xP0H6R3HEYa/ezeDzkGi94NSY3F911yPfivaHbo9Pr31lnHHBCXvny9oGiXVvezF+2TueFqe95ahBe8rO6m2/OT5wS0d2dMURMf9jF8cxe/GoiZ0l/qeYmIXrfT9ZQP7xFTuPwdh50c5X3c/Gmgf/NQ4cp//v1NTyjvjgzJ7AuSu2rLktVm1YH2tWPBmHZF/qNruWL+3bWaFXBAgQGHcBwe+4k7ohAQIECBAgQIAAgYYVGKdIpWH9bLwMAk1Hxay3T+urZJQnSLs6fxrP9lzZXM/TndlTxW86M2b3h8zR9VAsXnhrbJ5yapzzpoP3ssjvY/2322Nzz6dOaY1ZMw4Y9PnPR/uKB2NL78wr41UT+0LxQRfspZfZMRhvae1/yrbnGIzPxmXXfDM2FR7tkIXU310R3zr0jTFj3I6bGBTQdz0VX778mvjyD/9kSDi+lyh8DAECBEYREPyOAuRtAgQIECBAgAABAgRGFRD4jkrkgvILHBAtiy6PeZN7As2Bf2y/qOoX4p++9f14KTvltuWKD9f3dGfT6+KiS9886Ozg5pjy9pPHMaQsqr9grveL4jqzNw6NeX83P1pyIenOs3MjfhUvbht6RsK26Hz23wpuunPqZQe9Kv64d9gdv3zxN9lhCLv+jOWaphmz4x2vHzhd+Dfx9FcviVPmXBlt7Z0779ndGeuWXxXvet9P45Rhz0Eevo5dKxuYGRzQZ0/5rv9xbNklHB+41t8ECBAoh8BA8NvS0lKOglRBgAABAgQIECBAgEAyAgLfZFql0BEFJrbG4k+clR2zkAV6K5fE9e0vDLk8e3L0qTvi02t+Fs2v/+u4Yf6Rg44+GHLpmIZNMWnmvDijN2TOFjS/OT644HV13nO4D/5dPPPkT7KzZ4f+ZOfzfnJJ3Lb5kJh185diSevQp4unxDHHv6Z/0YZYdvGVsbqz58vTMouOu2Lx6efFp5/5j/73+4PULHR9+G+X7zg/t+k1h8cRvQ8Gd8XmNffGI9uyyLfnmqsujb/v/wK0sVwTTUfGu2/662gZ9JBx1/qVsTT74rgjpk6L6T1/prfGgiVr4oXT58dZw56D3BX/vvXX8YehFKONcwH9xGi99B1DwvHRbuB9AgQIECBAgAABAgQIECBAgEAaAgLfNPqkylEFsqc4W/8mVtz8tiz0/Vncs2hBLF7Z0R+Sbo2OldfEu85dFi+ceFXcedv8mJ57EnbUmxdfMPH4OGdO31ESzSeeEm8a1/NgXxYT/3xuzJvR81Rs9kTsLRfGaRfdEKs7tvbV0hu6zo8L2rrjzOV3xOfPnF4QNmdHKZx11s6QdcvX4yMnHZWFq4fFMRe3x2Efuzvu+dCJsX/vHbNA95az4ojp74xVR7fG8QPB7MT/Gn95dP+TuVvujAWvOywLZmfH5155dsxv6T8+YizXZJ/RNH1+tK28KloHQvK+nQz69+aY/JbrYsXSWfkvntv2eHzqHx7Mnszu+3npkdXxQG9wPWjpqC8HBfR1Hecx6ge5gAABAgQIECBAgAABAgQIECCwTwUmbM9+aqmg50m8jZt6/hFyPwTKKdDduS7uWLki2m5Z239+bRYkznx3LLjg3Hhn67SCYHT399G9cXmcc8qq+IuVa+KKgQB0929XsPKl2NS+Kh5+8jvx5R37yS6bPDMWXfS2mDXv7dEy4hex9TzNe09cf+0n4p71v8kWTonWiy+N9y2a3beue2Osvvhd8ZFvb47mGefFxz92WcxrmZSvY9tT0XbZh2Lp2uyk4OYZMW/J38bis1uGhLJjuGbgrts6YvVdd8UdN6+Mp/tPmWiecXZc/qH3xrtz/emKTcsviJlLnhxYOeTvY+Oj61bEgmkD6fSQt3cZ/jxWX3RaXBXXxGNfmrvXv1xvl3JMECCw1wX2xX+G2RefuddhfSABAgQIECBAgAABAntUoNb/XiHw3aPtcHMCBEojsHV1LDxuWRy+x8L50uxUIQQIDCNQ639IGuY2NU3vi8+sqUAXEyBAgAABAgQIECBQeoFa/3uFIx1K31IFEiBQv8Dvo6NtWbQf0hqzZvQfRVH/Td2BAAECBAgQIECAAAECBAgQIFA6AYFv6VqiIAIExl2g+yfx0AP/Fi0Xzo4Z43F+87gX6IYECBAgQIAAAQIECBAgQIAAgfEREPiOj6O7ECBQWoHsHOPv3hv3P39snD/38HE9w7m0W1YYAQIECBAgQIAAAQIECBAg0LACAt+Gbb2NE6igQM+X0L3nhJg+9Yg4/qIbYnXH1ujuvDcWX/VgvPqKD8fsSR7vrWDXbYkAAQIECBAgQIAAAQIECBAYJLDfoNdeEiBAIG2BPzwX//zI5t49bFn7xfhIz584MI6+eFl8ZeGRyT3dO2HChNi+fXvaPVE9AQIECBAgQIAAAQIECBAgsFcFPOG7V7l9GAECe1Sg+Q3x3s++K45u7vmU5pg8871x05p1cd+Vb4iJe/SD3ZwAAQIECBAgQIAAAQIECBAgUA4BT/iWow+qIEBgXAT2j6mzro37nr12XO7mJgQIECBAgAABAgQIECBAgACB1AQ84Ztax9RLgAABAgQIECBAgAABAgQIECBAgACBYQQEvsPAmCZAgAABAgQIECBAgAABAgQIECBAgEBqAgLf1DqmXgIECBAgQIAAAQIECBAgQIAAAQIECAwj4AzfYWBMEyBAYLwFJkyYUPMta12zffv2mj/DAgIECBAgQIAAAQIECBAgQKA6AgLf6vTSTggQKLmAMLbkDVIeAQIECBAgQIAAAQIECBCogIAjHSrQRFsgQIAAAQIECBAgQIAAAQIECBAgQIBAj4DA1+8BAQIECBAgQIAAAQIECBAgQIAAAQIEKiIg8K1II22DAAECBAgQIECAAAECBAgQIECAAAECAl+/AwQIECBAgAABAgQIECBAgAABAgQIEKiIgMC3Io20DQIECBAgQIAAAQIECBAgQIAAAQIECAh8/Q4QIECAAAECBAgQIECAAAECBAgQIECgIgIC34o00jYIECBAgAABAgQIECBAgAABAgQIECAg8PU7QIAAAQIECBAgQIAAAQIECBAgQIAAgYoICHwr0kjbIECAAAECBAgQIECAAAECBAgQIECAwH4ICBAgQGD3BCZMmLB7C0u0avv27SWqRikECBAgQIAAAQIECBAgQIBAvQIC33oFrSdAoGEFhKUN23obJ0CAAAECBAgQIECAAAECpRVwpENpW6MwAgQaXWD61GmNTmD/BAgQIECAAAECBAgQIECAQI0CAt8awVxOgAABAgQIECBAgAABAgQIECBAgACBsgoIfMvaGXURIECAAAECBAgQIECAAAECBAgQIECgRgGBb41gLidAgAABAgQIECBAgAABAgQIECBAgEBZBQS+Ze2MuggQIECAAAECBAgQIECAAAECBAgQIFCjgMC3RjCXEyBAgAABAgQIECBAgAABAgQIECBAoKwCAt+ydkZdBAgQIECAAAECBAgQIECAAAECBAgQqFFA4FsjmMsJECBAgAABAgQIECBAgAABAgQIECBQVgGBb1k7oy4CBAgQIECAAAECBAgQIECAAAECBAjUKCDwrRHM5QQIECBAgAABAgQIECBAgAABAgQIECirgMC3rJ1RFwECBAgQIECAAAECBAgQIECAAAECBGoUEPjWCOZyAgQIECBAgAABAgQIECBAgAABAgQIlFVA4FvWzqiLAAECBAgQIECAAAECBAgQIECAAAECNQoIfGsEczkBAgQIECBAgAABAgQIECBAgAABAgTKKiDwLWtn1EWAAAECBAgQIECAAAECBAgQIECAAIEaBQS+NYK5nAABAgQIECBAgAABAgQIECBAgAABAmUVEPiWtTPqIkCAAAECBAgQIECAAAECBAgQIECAQI0CAt8awVxOgAABAgQIECBAgAABAgQIECBAgACBsgoIfMvaGXURIECAAAECBAgQIECAAAECBAgQIECgRgGBb41gLidAgAABAgQIECBAgAABAgQIECBAgEBZBQS+Ze2MuggQIECAAAECBAgQIECAAAECBAgQIFCjgMC3RjCXEyBAgAABAgQIECBAgAABAgQIECBAoKwCAt+ydkZdBAgQIECAAAECBAgQIECAAAECBAgQqFFA4FsjmMsJECBAgAABAgQIECBAgAABAgQIECBQVgGBb1k7oy4CBAgQIECAAAECBAgQIECAAAECBAjUKCDwrRHM5QQIECBAgAABAgQIECBAgAABAgQIECirgMC3rJ1RFwECBAgQIECAAAECBAgQIECAAAECBGoUEPjWCOZyAgQIECBAgAABAgQIECBAgAABAgQIlFVA4FvWzqiLAAECBAgQIECAAAECBAgQIECAAAECNQoIfGsEczkBAgQIECBAgAABAgQIECBAgAABAgTKKiDwLWtn1EWAAAECBAgQIECAAAECBAgQIECAAIEaBfar8XqXEyBAgAABAgSSFZg+dVqytSucAAECBAgQIECAAAECYxEQ+I5FyTUECBAgQIBA8gIbN3Xu1h56QuLdXbtbH2gRAQIECBAgQIAAAQIE6hBwpEMdeJYSIECAAAECBAgQIECAAAECBAgQIECgTAIC3zJ1Qy0ECBAgQIAAAQIECBAgQIAAAQIECBCoQ0DgWweepQQIECBAgAABAgQIECBAgAABAgQIECiTgMC3TN1QCwECBAgQIECAAAECBAgQIECAAAECBOoQEPjWgWcpAQIECBAgQIAAAQIECBAgQIAAAQIEyiQg8C1TN9RCgAABAgQIECBAgAABAgQIECBAgACBOgQEvnXgWUqAAAECBAgQIECAAAECBAgQIECAAIEyCQh8y9QNtRAgQIAAAQIECBAgQIAAAQIECBAgQKAOAYFvHXiWEiBAgAABAgQIECBAgAABAgQIECBAoEwCAt8ydUMtBAgQIECAAAECBAgQIECAAAECBAgQqENA4FsHnqUECBAgQIAAAQIECBAgQIAAAQIECBAok4DAt0zdUAsBAgQIECBAgAABAgQIECBAgAABAgTqEBD41oFnKQECBAgQIECAAAECBAgQIECAAAECBMokIPAtUzfUQoAAAQIECBAgQIAAAQIECBAgQIAAgToEBL514FlKgAABAgQIECBAgAABAgQIECBAgACBMgkIfMvUDbUQIECAAAECBAgQIECAAAECBAgQIECgDgGBbx14lhIgQDT4UzcAADg1SURBVIAAAQIECBAgQIAAAQIECBAgQKBMAgLfMnVDLQQIECBAgAABAgQIECBAgAABAgQIEKhDQOBbB56lBAgQIECAAAECBAgQIECAAAECBAgQKJOAwLdM3VALAQIECBAgQIAAAQIECBAgQIAAAQIE6hAQ+NaBZykBAgQIECBAgAABAgQIECBAgAABAgTKJCDwLVM31EKAAAECBAgQIECAAAECBAgQIECAAIE6BAS+deBZSoAAAQIECBAgQIAAAQIECBAgQIAAgTIJCHzL1A21ECBAgAABAgQIECBAgAABAgQIECBAoA4BgW8deJYSIECAAAECBAgQIECAAAECBAgQIECgTAIC3zJ1Qy0ECBAgQIAAAQIECBAgQIAAAQIECBCoQ0DgWweepQQIECBAgAABAgQIECBAgAABAgQIECiTgMC3TN1QCwECBAgQIECAAAECBAgQIECAAAECBOoQEPjWgWcpAQIECBAgQIAAAQIECBAgQIAAAQIEyiQg8C1TN9RCgAABAgQIECBAgAABAgQIECBAgACBOgQEvnXgWUqAAAECBAgQIECAAAECBAgQIECAAIEyCQh8y9QNtRAgQIAAAQIECBAgQIAAAQIECBAgQKAOAYFvHXiWEiBAgAABAgQIECBAgAABAgQIECBAoEwCAt8ydUMtBAgQIECAAAECBAgQIECAAAECBAgQqENA4FsHnqUECBAgQIAAAQIECBAgQIAAAQIECBAok4DAt0zdUAsBAgQIECBAgAABAgQIECBAgAABAgTqEBD41oFnKQECBAgQIECAAAECBAgQIECAAAECBMokIPAtUzfUQoAAAQIECBAgQIAAAQIECBAgQIAAgToEBL514FlKgAABAgQIECBAgAABAgQIECBAgACBMgkIfMvUDbUQIECAAAECBAgQIECAAAECBAgQIECgDgGBbx14lhIgQIAAAQIECBAgQIAAAQIECBAgQKBMAgLfMnVDLQQIECBAgAABAgQIECBAgAABAgQIEKhDQOBbB56lBAgQIECAAAECBAgQIECAAAECBAgQKJOAwLdM3VALAQIECBAgQIAAAQIECBAgQIAAAQIE6hAQ+NaBZykBAgQIECBAgAABAgQIECBAgAABAgTKJCDwLVM31EKAAAECBAgQIECAAAECBAgQIECAAIE6BAS+deBZSoAAAQIECBAgQIAAAQIECBAgQIAAgTIJCHzL1A21ECBAgAABAgQIECBAgAABAgQIECBAoA4BgW8deJYSIECAAAECBAgQIECAAAECBAgQIECgTAIC3zJ1Qy0ECBAgQIAAAQIECBAgQIAAAQIECBCoQ0DgWweepQQIECBAgAABAgQIECBAgAABAgQIECiTgMC3TN1QCwECBAgQIECAAAECBAgQIECAAAECBOoQEPjWgWcpAQIECBAgQIAAAQIECBAgQIAAAQIEyiQg8C1TN9RCgAABAgQIECBAgAABAgQIECBAgACBOgQEvnXgWUqAAAECBAgQIECAAAECBAgQIECAAIEyCexXpmLUQoAAAQJ5gelTp+UnjAgQIECAAAECBAgQIECAAAECIwgIfEfA8RYBAgT2pcDGTZ378uN9NgECBAgQIECAAAECBAgQIJCggCMdEmyakgkQIECAAAECBAgQIECAAAECBAgQIFAkIPAtUjFHgAABAgQIECBAgAABAgQIECBAgACBBAUEvgk2TckECBAgQIAAAQIECBAgQIAAAQIECBAoEhD4FqmYI0CAAAECBAgQIECAAAECBAgQIECAQIICAt8Em6ZkAgQIECBAgAABAgQIECBAgAABAgQIFAkIfItUzBEgQIAAAQIECBAgQIAAAQIECBAgQCBBAYFvgk1TMgECBAgQIECAAAECBAgQIECAAAECBIoEBL5FKuYIECBAgAABAgQIECBAgAABAgQIECCQoIDAN8GmKZkAAQIECBAgQIAAAQIECBAgQIAAAQJFAgLfIhVzBAgQIECAAAECBAgQIECAAAECBAgQSFBA4Jtg05RMgAABAgQIECBAgAABAgQIECBAgACBIgGBb5GKOQIECBAgQIAAAQIECBAgQIAAAQIECCQoIPBNsGlKJkCAAAECBAgQIECAAAECBAgQIECAQJGAwLdIxRwBAgQIECBAgAABAgQIECBAgAABAgQSFBD4Jtg0JRMgQIAAAQIECBAgQIAAAQIECBAgQKBIQOBbpGKOAAECBAgQIECAAAECBAgQIECAAAECCQoIfBNsmpIJECBAgAABAgQIECBAgAABAgQIECBQJCDwLVIxR4AAAQIECBAgQIAAAQIECBAgQIAAgQQFBL4JNk3JBAgQIECAAAECBAgQIECAAAECBAgQKBIQ+BapmCNAgAABAgQIECBAgAABAgQIECBAgECCAgLfBJumZAIECBAgQIAAAQIECBAgQIAAAQIECBQJCHyLVMwRIECAAAECBAgQIECAAAECBAgQIEAgQQGBb4JNUzIBAgQIECBAgAABAgQIECBAgAABAgSKBAS+RSrmCBAgQIAAAQIECBAgQIAAAQIECBAgkKCAwDfBpimZAAECBAgQIECAAAECBAgQIECAAAECRQIC3yIVcwQIECBAgAABAgQIECBAgAABAgQIEEhQQOCbYNOUTIAAAQIECBAgQIAAAQIECBAgQIAAgSIBgW+RijkCBAgQIECAAAECBAgQIECAAAECBAgkKCDwTbBpSiZAgAABAgQIECBAgAABAgQIECBAgECRgMC3SMUcAQIECBAgQIAAAQIECBAgQIAAAQIEEhQQ+CbYNCUTIECAAAECBAgQIECAAAECBAgQIECgSEDgW6RijgABAgQIECBAgAABAgQIECBAgAABAgkKCHwTbJqSCRAgQIAAAQIECBAgQIAAAQIECBAgUCQg8C1SMUeAAAECBAgQIECAAAECBAgQIECAAIEEBQS+CTZNyQQIECBAgAABAgQIECBAgAABAgQIECgSEPgWqZgjQIAAAQIECBAgQIAAAQIECBAgQIBAggIC3wSbpmQCBAgQIECAAAECBAgQIECAAAECBAgUCQh8i1TMESBAgAABAgQIECBAgAABAgQIECBAIEEBgW+CTVMyAQIECBAgQIAAAQIECBAgQIAAAQIEigQEvkUq5ggQIECAAAECBAgQIECAAAECBAgQIJCggMA3waYpmQABAgQIECBAgAABAgQIECBAgAABAkUCAt8iFXMECBAgQIAAAQIECBAgQIAAAQIECBBIUEDgm2DTlEyAAAECBAgQIECAAAECBAgQIECAAIEiAYFvkYo5AgQIECBAgAABAgQIECBAgAABAgQIJCgg8E2waUomQIAAAQIECBAgQIAAAQIECBAgQIBAkYDAt0jFHAECBAgQIECAAAECBAgQIECAAAECBBIUEPgm2DQlEyBAgAABAgQIECBAgAABAgQIECBAoEhA4FukYo4AAQIECBAgQIAAAQIECBAgQIAAAQIJCgh8E2yakgkQIECAAAECBAgQIECAAAECBAgQIFAkIPAtUjFHgAABAgQIECBAgAABAgQIECBAgACBBAUEvgk2TckECBAgQIAAAQIECBAgQIAAAQIECBAoEhD4FqmYI0CAAAECBAgQIECAAAECBAgQIECAQIICAt8Em6ZkAgQIECBAgAABAgQIECBAgAABAgQIFAkIfItUzBEgQIAAAQIECBAgQIAAAQIECBAgQCBBAYFvgk1TMgECBAgQIECAAAECBAgQIECAAAECBIoEBL5FKuYIECBAgAABAgQIECBAgAABAgQIECCQoIDAN8GmKZkAAQIECBAgQIAAAQIECBAgQIAAAQJFAgLfIhVzBAgQIECAAAECBAgQIECAAAECBAgQSFBA4Jtg05RMgAABAgQIECBAgAABAgQIECBAgACBIgGBb5GKOQIECBAgQIAAAQIECBAgQIAAAQIECCQoIPBNsGlKJkCAAAECBAgQIECAAAECBAgQIECAQJGAwLdIxRwBAgQIECBAgAABAgQIECBAgAABAgQSFBD4Jtg0JRMgQIAAAQIECBAgQIAAAQIECBAgQKBIQOBbpGKOAAECBAgQIECAAAECBAgQIECAAAECCQoIfBNsmpIJECBAgAABAgQIECBAgAABAgQIECBQJCDwLVIxR4AAAQIECBAgQIAAAQIECBAgQIAAgQQFBL4JNk3JBAgQIECAAAECBAgQIECAAAECBAgQKBIQ+BapmCNAgAABAgQIECBAgAABAgQIECBAgECCAgLfBJumZAIECBAgQIAAAQIECBAgQIAAAQIECBQJCHyLVMwRIECAAAECBAgQIECAAAECBAgQIEAgQQGBb4JNUzIBAgQIECBAgAABAgQIECBAgAABAgSKBAS+RSrmCBAgQIAAAQIECBAgQIAAAQIECBAgkKCAwDfBpimZAAECBAgQIECAAAECBAgQIECAAAECRQIC3yIVcwQIECBAgAABAgQIECBAgAABAgQIEEhQQOCbYNOUTIAAAQIECBAgQIAAAQIECBAgQIAAgSIBgW+RijkCBAgQIECAAAECBAgQIECAAAECBAgkKCDwTbBpSiZAgAABAgQIECBAgAABAgQIECBAgECRgMC3SMUcAQIECBAgQIAAAQIECBAgQIAAAQIEEhQQ+CbYNCUTIECAAAECBAgQIECAAAECBAgQIECgSEDgW6RijgABAgQIECBAgAABAgQIECBAgAABAgkKCHwTbJqSCRAgQIAAAQIECBAgQIAAAQIECBAgUCQg8C1SMUeAAAECBAgQIECAAAECBAgQIECAAIEEBQS+CTZNyQQIECBAgAABAgQIECBAgAABAgQIECgSEPgWqZgjQIAAAQIECBAgQIAAAQIECBAgQIBAggIC3wSbpmQCBAgQIECAAAECBAgQIECAAAECBAgUCQh8i1TMESBAgAABAgQIECBAgAABAgQIECBAIEEBgW+CTVMyAQIECBAgQIAAAQIECBAgQIAAAQIEigQEvkUq5ggQIECAAAECBAgQIECAAAECBAgQIJCggMA3waYpmQABAgQIECBAgAABAgQIECBAgAABAkUCAt8iFXMECBAgQIAAAQIECBAgQIAAAQIECBBIUEDgm2DTlEyAAAECBAgQIECAAAECBAgQIECAAIEiAYFvkYo5AgQIECBAgAABAgQIECBAgAABAgQIJCgg8E2waUomQIAAAQIECBAgQIAAAQIECBAgQIBAkYDAt0jFHAECBAgQIECAAAECBAgQIECAAAECBBIUEPgm2DQlEyBAgAABAgQIECBAgAABAgQIECBAoEhA4FukYo4AAQIECBAgQIAAAQIECBAgQIAAAQIJCgh8E2yakgkQIECAAAECBAgQIECAAAECBAgQIFAkIPAtUjFHgAABAgQIECBAgAABAgQIECBAgACBBAUEvgk2TckECBAgQIAAAQIECBAgQIAAAQIECBAoEhD4FqmYI0CAAAECBAgQIECAAAECBAgQIECAQIICAt8Em6ZkAgQIECBAgAABAgQIECBAgAABAgQIFAkIfItUzBEgQIAAAQIECBAgQIAAAQIECBAgQCBBAYFvgk1TMgECBAgQIECAAAECBAgQIECAAAECBIoEBL5FKuYIECBAgAABAgQIECBAgAABAgQIECCQoIDAN8GmKZkAAQIECBAgQIAAAQIECBAgQIAAAQJFAgLfIhVzBAgQIECAAAECBAgQIECAAAECBAgQSFBA4Jtg05RMgAABAgQIECBAgAABAgQIECBAgACBIgGBb5GKOQIECBAgQIAAAQIECBAgQIAAAQIECCQoIPBNsGlKJkCAAAECBAgQIECAAAECBAgQIECAQJGAwLdIxRwBAgQIECBAgAABAgQIECBAgAABAgQSFBD4Jtg0JRMgQIAAAQIECBAgQIAAAQIECBAgQKBIQOBbpGKOAAECBAgQIECAAAECBAgQIECAAAECCQoIfBNsmpIJECBAgAABAgQIECBAgAABAgQIECBQJCDwLVIxR4AAAQIECBAgQIAAAQIECBAgQIAAgQQFBL4JNk3JBAgQIECAAAECBAgQIECAAAECBAgQKBIQ+BapmCNAgAABAgQIECBAgAABAgQIECBAgECCAgLfBJumZAIECBAgQIAAAQIECBAgQIAAAQIECBQJCHyLVMwRIECAAAECBAgQIECAAAECBAgQIEAgQQGBb4JNUzIBAgQIECBAgAABAgQIECBAgAABAgSKBAS+RSrmCBAgQIAAAQIECBAgQIAAAQIECBAgkKCAwDfBpimZAAECBAgQIECAAAECBAgQIECAAAECRQIC3yIVcwQIECBAgAABAgQIECBAgAABAgQIEEhQQOCbYNOUTIAAAQIECBAgQIAAAQIECBAgQIAAgSIBgW+RijkCBAgQIECAAAECBAgQIECAAAECBAgkKCDwTbBpSiZAgAABAgQIECBAgAABAgQIECBAgECRgMC3SMUcAQIECBAgQIAAAQIECBAgQIAAAQIEEhQQ+CbYNCUTIECAAAECBAgQIECAAAECBAgQIECgSEDgW6RijgABAgQIECBAgAABAgQIECBAgAABAgkKCHwTbJqSCRAgQIAAAQIECBAgQIAAAQIECBAgUCQg8C1SMUeAAAECBAgQIECAAAECBAgQIECAAIEEBQS+CTZNyQQIECBAgAABAgQIECBAgAABAgQIECgSEPgWqZgjQOD/t3MHpw0FQRQEETgQCecfo60AHui0WhrKx7H5O9Tc+mACBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJCL5LxYwAAQIECBAgQIAAAQIECBAgQIAAAQJBAcE3eDQrEyBAgAABAgQIECBAgAABAgQIECBAYAkIvkvFjAABAgQIECBAgAABAgQIECBAgAABAkEBwTd4NCsTIECAAAECBAgQIECAAAECBAgQIEBgCQi+S8WMAAECBAgQIECAAAECBAgQIECAAAECQQHBN3g0KxMgQIAAAQIECBAgQIAAAQIECBAgQGAJ/Kzhp9nv8/XpT/yeAAECBAgQIECAAAECBAgQIECAAAECBL4s8Ph7/3z5Tc8RIECAAAECBAgQIECAAAECBAgQIECAwAEB/9LhAKpPEiBAgAABAgQIECBAgAABAgQIECBA4IaA4HtD3ZsECBAgQIAAAQIECBAgQIAAAQIECBA4ICD4HkD1SQIECBAgQIAAAQIECBAgQIAAAQIECNwQEHxvqHuTAAECBAgQIECAAAECBAgQIECAAAECBwQE3wOoPkmAAAECBAgQIECAAAECBAgQIECAAIEbAoLvDXVvEiBAgAABAgQIECBAgAABAgQIECBA4ICA4HsA1ScJECBAgAABAgQIECBAgAABAgQIECBwQ0DwvaHuTQIECBAgQIAAAQIECBAgQIAAAQIECBwQEHwPoPokAQIECBAgQIAAAQIECBAgQIAAAQIEbggIvjfUvUmAAAECBAgQIECAAAECBAgQIECAAIEDAoLvAVSfJECAAAECBAgQIECAAAECBAgQIECAwA2Bfy7kZM3H0x6EAAAAAElFTkSuQmCC" alt></p>
<p>Draw the complete circuit showing the correct position of the bulb, ammeter and voltmeter.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><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>The diagram shows a pair of horizontal metal plates. Electrons can be deflected vertically using an electric field between the plates.</p>
<p><img 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" alt></p>
<p>(i) Label, on the diagram, the polarity of the metal plates which would cause an electron<br>positioned between the plates to accelerate upwards. </p>
<p>(ii) Draw the shape and direction of the electric field between the plates on the diagram.</p>
<p>(iii) Calculate the force on an electron between the plates when the electric field strength has a value of 2.5 × 10<sup>3</sup> NC<sup>–1</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial separation of the electrons is 5.0 mm. The electrons subsequently move apart in the directions shown.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>(i) Show that the initial electric force acting on each electron due to the other electron is approximately 9 × 10<sup>–24</sup>N.</p>
<p>(ii) Calculate the initial acceleration of one electron due to the force in (c)(i).</p>
<p>(iii) Discuss the motion of one electron after it begins to move.</p>
<p>(iv) The diagram shows Y as seen from X, at one instant. Y is moving into the plane of the paper. For this instant, draw on the diagram the shape and direction of the magnetic field produced by Y.</p>
<p><img src="data:image/png;base64,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" 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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Electrical resistance </span></p>
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<p>A resistor of resistance 1.5Ω is made from copper wire of radius 0.18mm. The resistivity of copper is 1.7×10<sup>–8</sup>Ωm. Determine the length of copper wire used to make the resistor.</p>
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<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
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<p>The manufacturer of the resistor in (a) guarantees that the resistance is within 10% of 1.5Ω, provided that the power dissipation in the resistor does not exceed 1.0W.</p>
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<p>(i) Suggest why the resistance of the resistor might be greater than 1.65Ω if the power dissipation in the resistor is greater than 1.0W.</p>
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<p>(ii) Show that, for a power dissipation of 1.0W, the current in a resistor of resistance 1.5Ω is 0.82A.</p>
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<p>(iii) The 1.5Ω resistor is connected in series with a variable resistor and battery of emf 6.0V and internal resistance 1.8Ω.</p>
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" 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<p>Estimate the resistance <em>R</em> of the variable resistor that will limit the current to 0.82A.</p>
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<div class="question_part_label">b.</div>
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<p>This question is about motion in a magnetic field.</p>
<p>An electron, that has been accelerated from rest by a potential difference of 250 V, enters a region of magnetic field of strength 0.12 T that is directed into the plane of the page.</p>
<p style="text-align: center;"><img 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CwRoJlaAstmSYAEqkWAn82vVrw5WhIgAUsEeGZqCSybJQESqBYBmmm14s3RkgAJWCJAM7UEls2SAAlUi8AkM7XxMatqIeVoSYAENBOw5XEeM7XViWaw1EYCJFA9Aja8zmOm1UPKEZMACZBAOgRopulwZCskQAIVJ0AzrXgCcPgkQALpEKCZpsORrZAACVScAM204gnA4ZMACaRDgGaaDke2QgIkUHEC/Gx+xROAwycBEkiHAM9M0+HIVkiABCpOwKqZjoyMmNOnT0ciHhgYiNyf5c6xsTGDf1ElSZ2o49Pel4Qf4qClJMmJJHWyGg/yN44f6sTlTVZ60U+cXtRJkjdZaU4yp5LUyUpvWD9WzXTnjh1m1cqVoYa6tWurufGGG8K0Zb59aGjIfG7RotBkRJJiP+ppKeAHjmEF+xAHLeXAz38emRO9vb3m+qVLQ3Mm63FgErddcaWBrqACI0WOHz58OGh3LtsQ77ic2HjXXbloC+q0iPMuaBymZrGMj4/XVixf7vzDa3fp2tJVm9PWVhseHnZvzv11T09PoC7ohF7s11REF3j6C7aBv5+9v17W62G6wthnrc/fH3Sdd86MSbGX/A5i728jy/UoXWHss9QX1FdY7CW/05x3iKWN4jFTdJJ2RxJY96RGQDUaqQD2B9ZGQKWvNJaizz2ptU4aGa9fn5+51NOyhD63oUpeu5lr0QodQfr8zDXphRZ/DkheY3uaxYbPQZ91M0UnElgYKgKq2UglaBJY91L2aVxK4oGv9kkj/ERnd3d3YXICExF6JZdlLBqXMu+KlBPu+WbrSrDQZopEQ2ABBwPp7+/XmHuTNO3bu9fRi2URCgwVfMEZvItQOjs6CpUTMFIwhu4iFJl3RcoJ2/POlplafQDlvkl7/333O6vXzJ9ncPM77im/+9g8XuNh0/c3bjSr1qxxlkmekOah093nww89bMAXRXi792t7jYc6PYcOmRtXLC9ETiBn9+7ZY5Ysvc78aMfO0IdSmjgjD2ZeeKHzrwg5UcR5NxFv919XW46Nywz8ZcSZk1x6uO+hujVoeC2XzHKvRi49sF1rkUtm8BX92Ka1+Jm69WvULHkrTKEf80VyRKNmN1O/fo16JW+FqT9H0tJsy+es3zNFQMVIBYYEVqOh+gMqmm0FVtpvZumeNNKOjEMmv2zXsAxjGTQODXolX/0sMQ6thhrEMmwcGhhLvoKpu4TlirtOva8Laabbt22bZKQycAksDFVLCQuo6LMRWGm70WXQpJG2ZDyIg5YSxzBqPHmMQfLUb6SiBff/cbLQ19cnm3JfIt5hJypx48lDvOSp30hFS1zOSL2ky0zMFGLQUVoFEAAqrCCwmh7uYGLETQrs1/QADfzAMayAf1iShh1jc3tcTqBvPOQZHR21KSNx29ABPVEFjDXlBBhH5UTV512aHufOC37RycTdY74gARIggcYJZPY0v3GJPJIESIAE9BOgmeqPERWSAAkUgADNtABBokQSIAH9BDxmit+StvF70voxUCEJkEBVCNjyOY+ZVgUmx0kCJEACaROgmaZNlO2RAAlUkgDNtJJh56BJgATSJkAzTZso2yMBEqgkAZppJcPOQZNA+QjgW712bN9u5l59tfMgvfVjHzff/h/fTuX3udB23Dfd0UzLl1McEQlUjgCM7kvLlpm/XftN88rxl53xnxobM/f/4z+aT82eY44cOdIUk+HhYfMXl17mmHWYqXrM9PjgiaY65MEkQAIkkAeBv7nlFnP4l88Gdv3vb7xhvvKlL3vOLBvxOrQDsw4zVY+ZQkkjnQSOgBtJgARIIAMC+ELpg0/+IrKnf3v9dfPzf/5np06zHhdmqmdGKuBOEiABElBO4OTJk+att95yVOJ37X7/+99PUvy73//e3HvvveY//lDvkksuMdOnT59Ur54NYqrf3XCnWXXbasNvjaqHHuuSAAnkQmBsbMz89re/Nb/5zW/Ma6+9Zt58803zwgsvOFoeeughc+zYsQld73rnf5l4LS/OPPNPzJl/8sdzx7dNmWKmTJkiu5tatkxtMV9ctoxm2hRFHkwCJJAqATzoefXVVx3DfPrpp82pU6ecM8rW1lYze/Zs8653vct8+MMfdvq86KKLnOXvfvc7s+Tzi83p8fFILd/6zrfN0i9+MbJO2M6BgQEz79NzPbthoouXfMHcdPNNZtq0aeaPVm3MxOfym72n4OmRKyRAAiQQQKC/v98MDg4aLPG0HZfhCxYsMLgEh2Hi9Xve8x5zzz33BBzt3TTzzy4MfQAlNefNn++8lO8fadTn/CYq7XvMVDZySQIkQAJpEsDbiXApfvToUefy/M4773TM8uqrrzYXXHCBmTt3biLTDNN018aN5r/Pm29wH9Nf3v72t5v/+b+2OmeP/n31rn/pK1+ZOBP1H+u5Z9qsY/sb5zoJkEB1CeCME5fqTz31lHPW2d7ebq666irz0Y9+1HzoQx8yLS0tqcLBfdUN69eb//3jn0y0+7HWT5jOtWvNrFmzJrY14nNoGwWX82GFZhpGhttJgATqIgDD+dWvfmWefPJJ09nZaWybZ5Q4nAmHmXUjZhrVl+zjZb6Q4JIESKBuAjDQZ5991vz0pz91zj7XrVtn2trazOjoaORZXN0d1XlAmJHW2Uxd1WmmdeFiZRIgAbeB4sHRsmXLzE033WTuvvvu0LPBKlCjmVYhyhwjCTRJAJfNhw8fNvfdd59zBrpp0ybHQC+++OImWy7P4Z6Pkzb6VoHy4OBISIAE3ATwEGnz5s1m6tSp5sEHHzRf/vKXzfj4uLn55ptNkY3Uhtd5HkC5IfI1CZBANQngLBRP4Lds2eIAwGU83jAf9SS7mqS8o6aZenlwjQQqSwD3Qnfu3GkeeOABxzyvu+66Qp99Zh1I3jPNmjj7IwFlBHApj08fHThwwHmY9Oijj/IstIEYee6ZNnB85CG9vb2e7xAMqvzEE08Ebc5lGz5/i6/ziirYj3paShw/XLIhDloKtMQxxhNinCVpKNAR98XC2nIi6bw7dOiQue2225x/l112mfP+UNwLzfpyPsm8Qww0zbug3PSYKd7MKm9oDapc77ZXXn7ZrFq5MtRQt3ZtNXv37Km3WWv1cWP9+qVLQyc7Jg32o56WAn7gGFRgpOCPOGgp0BLFGEZw6y23aJHr6ICesD9IkhP4cg4t5eBTT0XOu9WrVpuvfvWrRj7SuW/fPrNo0aLc3tYUN+/A/toFC1Obd2n73ETca65y3jkzaviXZuna0lVbsXx5bXx83NNs2HZPpRxWenp6anPa2mrDw8Oe3rGO7divqYAr+IKnu4Rtd9fJ6zW0BjEOY5+XTuk3LPay3c9ejstrKbH3z7uDBw/WZs2aVTv33HNrP/vZz/KSF9hvWOyxHZ6U5ryz4XMYlHGPzFYnfuP0r7s1aHjtD6xMmjQDmuY4ZfLIpPavp9lXWm1Bq9tQ/czT6ietdvw5IOvCPK1+0mpHcgCGevTo0dqCBQscI130V3816cQmrT6bbcefA1hP20ih0ZbPZWKmGIAYqCwRbM1FAuteatYrk0f4ap3kbobQCEPdt3evx1jddTS9FgMVvdoZw0T//OKLnTPRVStXBV4hauILLTLfwNiGkaKPwpspBrFk8WJnIKOjo9piGKhHAoplEQq4IlHAuSils6PD2qSxwUDOlqBba0EebNq0qdba2lrbtWtXre2qqwo17/BHCnlsa97ZMlPPA6iJG6kWXuAhybSzzjKr1qwx31y7NvShlIWuG2oSDxa+v3GjoxdLrGsueNgEruALzmEPpTSNAQ8Weg4dMjeuWG46b79dPWPkAHRCL3SHPZTKizFyYM+ePeYzn/mMIwHf3vT6qdfNn110kblm/rxCzDsw/e769YWZd55Yu/+62nJs/KVx3wz3r7s1aHgtl3M4C0GRSw9s11jcl/jQ51/XqNnPFDnhvoeqTbPkBHSiyLrkSN56n3vuOee+6OrVq2tDQ0OOHPc8k5xwz8O8Nfv7B0t4kDD154i/fqPrtnzO+j1Td0Ddgw/b7q6Tx+uwSWIrsM2OUSaJTHJpL2y77M9zGcYSY9BoqJITfsayXSZ/HkxxSb9u3Trnkh5P66UEzS/JCY2GCoZuI5VxhOWK7G9kiX5sFI+Zpt3B9m3bPGek/vYl4P7tea3HTQ4bgW12rJgY/kkubcrkQRy0lDiGGAsMVct9deiAnjDGkjN9fX2ZI37sscccE73//vs9T+ij5p3kBPJGSwG7ICMVfXE5I/XyXlo1U0BA8KJKd3d31O5M9/X399fiJgX2o56WEscP/BEHLQVaYEBRBWPSZKZxjDGeLHMCl/Ht7e3Ov2PHjk1CGTfvkBO2Hu5MEpNgQxHnXdCw+EUnnjvIXCEB3QTwgOnaa681u3fvdj61pFtttdTxi06qFW+OtqAE8B0Ba9ascdQPDQ2Z6dOnF3Qk5ZXteWuUtc+slpcfR0YC1gk8/vjjztud5s2b5/wcMo20OeS2fI5nps3FhUeTgDUCeN/oXXfdZZ555hmzfft25/flrXXGhpsm4Dkzbbo1NkACJJAKgeHhYfOFL3zBaWvXrl000lSo2m2EZ6Z2+bJ1EqibAC7rr7nmGvPYY4+ZuXPn1n08D8iHAM00H+7slQQmEXBf1vMh0yQ86jfwMl99iCiwCgRwWf/1r3/dGSou6/mQqXhRp5kWL2ZUXDICfX19zntG8bS+o6Mjt2+8LxnWzIfDy/zMkbNDEvgjAbwJ/4477jA/+MEP+Eugf8Ri/dXxwROp98FPQKWOlA2SQDICmzdvNvhBRCx5WZ+MmeZaPDPVHB1qKyUBPGhy3x9taWkp5TirNijeM61axDneXAnIg6ZZs2Y5n2aikeYajlQ7p5mmipONkUA4ARgpflL5qquuMvh9epZyEfBc5uMzqyg2bs6WCxtHQwL1ERAjxcdDr7jiivoOZu1UCdjyOY+ZpqqYjZEACTgEDh06ZK688kpz8OBBGmmJc4JmWuLgcmj5E4CR3nrrrea5557jW5/yD4dVBTRTq3jZeJUJiJHivaR861P5M4EPoMofY44wBwI00hyg59wlzTTnALD78hGgkZYvpklGRDNNQol1SCAhARppQlAlrEYzLWFQOaR8CNBI8+HeSK823v7Jz+Y3EgkeQwI+AjRSH5AKrtJMKxh0DjldAnhD/vvf/36+/SldrIVrjZf5hQsZBWsiIJ9swhvyL774Yk3SqCVjAjTTjIGzu/IQECPlR0TLE9NmRuK5zLf1mdVmBPJYEtBIQL5GD19asmzZMo0SqSmEgC2fs3pm2tvba5B0UQVfjqulDAwMmCNHjkTKwX7U01Li+IE/4qClQMvIyEikHIxpbGwssk5WO6HDnxNipPgaPRgpxqMpJ+LmHfQ/uG9fVghj+ynivAsalFUzfeXll82qlStDDXVr11azd8+eIF25bBsfHzfXLlgYaj5IUuxHPS0F/MAxqGDSgD/ioKlcv3RpqKFiLH//ne9okmtuveUWT0788Ic/dPTha/RgpBiPppyImneSE/g5aS0lybxDDKZOnapFcrCOmqucd86MGv6lWbq2dNVWLF9eGx8f9zQbtt1TKYeVnp4ehwGW7hK23V0nj9fgCr7g6S5h29118noNlnPa2mrDw8MeCRhD0HZPpRxWoBO6oHv37t21BQsWOPns3p6DrMgug+aX5ETQfIxsLIOdYfMrLFeakWTD56DHuEXZ6sQfWP+6W4OG1/7A+tc1aHRrkEkCrij+dXddLa/9kwTaNRqp8IJxtn7847WZM2fWhoaGnD8EYrBSR9vSPc8kJzQaqXDzzzN/jki9Zpe2fC4TM8XgJbCyRHA1Fwks9AI+1jUXmSzCF0vtRSbLhvXrVRspOMJAZ82a5Rjqvr17J85UtTOWfICJajZS4eied7b+uBbeTAFryeLFjjGNjo4KO9VLMdIiGBNAgisSBZyLUjo7OtT/scIfqvb2ducS3z3Zi8AY2mFKyIuizTv80bJRbJmp1QdQ7ru0eLAw7ayzzKo1a8w31+3UnkwAABNnSURBVK4NfSjlPibP13jY9N316x29WGJdc8GDBXAFX3AOeyilaQzQ2HPokPnexrtM5+23hz6Uylsz3kd67rnnmksvvdTRCb0/+fGP1OcEuG3etMnMvPDCQs07sAXjlX9zayEYT+SnDef3tymXGnJp71/31897Xc4+sETxr+etz9+/+xIf+/zr/voa1pED7ss4MHava9AIDXjghLPS48ePey7tNT98Enb+eeZfl3palv4c0D7v/Nw890z9O9NYDwtg2PY0+mymjbAAhm1vpq80jg0zzrDtafTZbBuIfZBx+idTs/00e/yxY8dqra2ttV/+8pceI5V2NRtq2PwK2y5jymsZFnut8y6Ik1Uz3b5tW+RNbwlskLA8tvX19UXev5PAop6WgocK4BhUxFARBy0FWoKMVPTJpMr7/h7YwUj3798faKSiVwxVU04Ucd7F5QTuc2piLPF3L62aKSYGkjKqdHd3R+3OdF9/f39swBBQ1NNS4viBP+KgpUALDCiqgHHeZrpu3brapk2bHB1xkxjj0ZQTRZx3SXJCE+Og/OVn8yfuHvMFCfx/Avh00JYtW8yuXbtMS0sLsZSMgK3P5vPXSUuWKBxOcwTwTVBr1641+EVRGmlzLKt2dGZvjaoaWI63mAS+9a1vmW984xv8aeZihi9X1TTTXPGzc00EcDaKsmjRIk2yqKUgBHiZX5BAUaZdAri8v/baa83Q0JDdjth6aQnwzLS0oeXA6iGAy/vdu3fz8r4eaKzrIUAz9eDgShUJ8PK+ilFPf8y8zE+fKVssEAFe3hcoWMqlet5nqlwr5ZFA6gRuu+02c9lll/GhU+pkq9cgL/OrF3OO+A8E8Ob8/v5+GikzIhUCPDNNBSMbKRoBfGVhW1ub2b59u7nggguKJp96FRLgmanCoFCSfQL4UbyFCxfSSO2jrkwPngdQtj6zWhmaHGghCOCh0wMPPGAeffTRQuilyHQJ2PI5npmmGye2VgACd999t/OR0WnTphVALSUWhQDNtCiRos5UCBw6dIgPnVIhyUb8BGimfiJcLzWBO++806xevbrUY+Tg8iFAM82HO3vNgQA+6YQn91dccUUOvbPLshPwPIAq+2A5vuoSwFuh7rjjDuetUNWlwJHbJMAzU5t02bYaAo888oiZPXs23wqlJiLlE8Iz0/LFlCPyEZCzUr4VygeGq6kS4CegUsXJxjQSwHtK33jjDXPzzTdrlEdNJSFAMy1JIDmMYAJjY2PmrLPOMqOjo4bvKw1mxK3pEOA903Q4shWlBHbu3Gk2bdpEI1UanzLJ4plpmaLJsXgIyJeZ4F4pz0o9aLhigYDnzBSfWZXPrVroi02SQKYE8AR/2bJlNNJMqevvzJbPecxUPwYqJIFkBOQJ/ty5c5MdwFok0CQBmmmTAHm4TgJ8X6nOuJRZlVUz7e3tNSMjI6H8cPbw4L59ofuz3jEwMGCOHDkS2S32o56WAn7gGFawD3HQUuJyAjqfeOIJg6fwzRS8Haq9vb2ZJpxjoQN6ogpyXFNOgHFcTnDeRUW0sX1WzfSVl1821y9dGmioCPaqlSsNfjpCS5k6daq59ZZbQs0HSYr9qKelgB84Bk0eYYw4aCphOQGNW7u2mr179piWlpaGJeOboVDS+gb9v//OdxxdQYJgpBjP+Ph40O5ctiHecTnxr//6f3PRFtRpEedd0DhMzVXOO2dGDf/SLF1bumpz2tpqw8PDE82Oj4/XVixf7vzDa00FOqG3p6fHIwvr/nF4KuS0EsZStoO/thLGElqRF83mRHt7e+3gwYOpDVtyws9StvtzJbWOm2goiKXmnAhjGZYrTaBxPC5tn4Me62aKThBYMSIJaBqTphmgUcf6A2sjoFH917vPz1TW/ZO/3nZt1vczDZr8jfR/7NixWmtrayOHRh4jOSFMZV2jkcpA3EyLkBN+pv4ckXE1u7Rx0ghNnveZytuijg+eCDyLbWYjLt9+8uMfmZkXXug0893vfa+pS7lmtCQ5Vi7fFv/1Ekf3th07zNlnn53k0FzqyCW9dP6Rj3zUfG3512RV5RK3TTpvv93Mmz/fDA4OmjRyYvPmzeZ973uflV8clZyA3kf27zfr/uEfzOWXX66SrYjCvHv++aPOahFyQhjbnHfWfK5Zl096PP4y4uwUfxX6+/uTHpZrvX179zp6sSxCGR0ddfSCM3gXoXR2dKSWExizMaYGDrYKzpaQw9BdhCLzrkg5UbR5J3lg9QGU/HWUsyacla5as8bceMMNgQ+lpL6GJc6avr9xo9m2a6ezxLrmAsbfXLvW4etwDnkopWkMOGs6deqU2XrvPankxFNPPWXWrVtn7U36OGvCmfT3Nt5leg4dCn0opYWxzDuc5eFf2EMpLXqho2jzzsNOXNXWEn8Z/Q+bcC9H7qHa6reZdv33avz3cppp28axwlju58m65vvS7vt5YOJn3ginBQsW1J577rlGDo09xp8Dsi7MYxvIuILkgFufn3nGkmK78+eAMMb2IhTPA6i0BUtAgyY1AqvRUP0BFSZaAyuM3ZMGmmV7EHsZU17LsEkdxj6JTjx4gpnaKGGxl+1+9jY01NOmxD5IVxj7etq3UTcs9sK4CIbqMdO0n3JtWL8+8q0uCCwMVUvp6+uLNHgJLOppKTDLoEkDfTKpEActZfu2bZE5IZOq3vuemzZtqt1///2pDxM6kKNhkxk5gRh0d3en3nejDSLeYTmBNsVQG20/7eOynndp+5zwsPo0H/eY8G09UW/AxidHzj//fM+th7xW5FM3Ud8wlKROlvrj+OG+GTRreSdCkpxIUsfP+JJLLjE2vh0qCT/Uwb+ovPHrtbkOfnHxjssbm/r8bSeZU0nq+NsNW7f1NN+qmYYNhttJIE0C+MTTfffdZ+655540m2VbJSVgy0wzeZpf0phwWEoIPPnkk+bzn/+8EjWUUVUC/EG9qka+JOPG5XVnZ6eqz8aXBC2HUScBnpnWCYzVdRE4fPiw897SqPvyuhRTTVkJ0EzLGtmKjAuX+G1tbRUZLYepmQAv8zVHh9oiCfASPxIPd2ZMwPM0P+O+2R0JNEUAT/FxZtrR0dFUOzyYBNIgwMv8NCiyjVwIwEg/8YlP5NI3OyUBPwGemfqJcL0wBM444wwzOjqq5s3yhQFHoVYI8MzUClY2aptAX1+f8xtPWj51ZHu8bF8/AY+Z4pMB8ukA/dKpsMoEjh49aubNm1dlBBx7gwRs+ZzHTBvUxsNIIHMCe/bsMfg8PgsJaCFAM9USCepITABfevHrX//aTJ8+PfExrEgCtgnQTG0TZvupE3j22WfNwoULU2+XDZJAMwRops3Q47G5EICZ8lNPuaBnpxEEaKYRcLhLJ4F9+/aZmTNn6hRHVZUlQDOtbOiLOfDh4WHnp5z5lqhixq/MqmmmZY5uCcf24osvmquvvrqEI+OQik7A80UnxwdPFH081F9yArhfyo+QljzIlodny+d4Zmo5cGw+XQLPPPOMufDCC9NtlK2RQAoEaKYpQGQT2RDg+0uz4cxeGiNAM22MG4/KgcDJkyfN7Nmzc+iZXZJAPAGPmdr6zGq8DNYggXgCr7zyirnsssviK7IGCUQQsPX9Ix4zjeifu0ggdwJPP/20+eAHP5i7DgooPgEbhkozLX5eVGYEBw4cMB/4wAcqM14OtFgEaKbFildl1eLhEwrfrF/ZFFA/cJqp+hBRIAjw4RPzQDsBa2ba29tr8C+q7Ni+3YyMjERVyXRfEs1J6mQp+s4NGwx+pTOsgC84aynQ0khe4OHTRRddlPkwkvDTlhNx8wr5grzRUpLwS5I3eY/Hmpni3lbn7beHTpytXVvND++917S0tOTNYKL/OM0IOsak6b7dO97xTrNq5cpAQ4URXL90qfngeedNjDHvF9By/Reui8yLnp6eSZfzL730knnve9+buXzcVoAe5GtQQU5gPFOnTg3ands2xD3oRAVGinxB3mgpcfNOvELTvAtkV3OV886ZUcO/tMrw8HBtTltbraenx9Nk15YuZzv2aythmjEGjEWjZvBcsXx5bXx8fAJn2DgmKuT4AiyRZ0F54R+HyGxvb68dO3ZMVjNdgit0gbO7hI3DXSev10FzLGwceWl09xuWr0HjcB/XyOu0fU40GHlha+mHZANO2tr9mjUbqYwdXMWI/Pqljqal34jc+oN0GmM8fyyC6tjc5jciv36bfTfatnuu+fU32qbN4/x569Zvs9+02rZuphAqkDo7OtSe3fmBiuYiBVQMKehqwD8+DetiSMgL+UMQpGt0dLTW2toatCvTbWJI0Bt0Zp2pmISdSf4GnVknbCLTajLviuQVAigTM0VnG9avdxJw39690rf6JbRi0hRFMxIRepcsXpzrWVw9gRVj6u7uDj0Ml/erV68O3Z/lDugEY+guQsEfAPxxhWbkRxFKEb0CXK09gHLfoMUN5Ef27zfbdu0039+4MfThg/uYvF/jwQK0FkWzPGyC3rbZc0IfSuXN1d0/8uLUqVNm6733mK+13xCaF4ODgyoe+iEnoBN6Hd0hD6XcY8zztTxsWvzXS8yqNWuch5FBD6Xy1Ojvu4heMTEG918q/PXCvzSLXGbIX0U5jcclntYCbe6HTdo1B+mTS36cmWgsfn1yyR+UF7t3767hX57Fr08u+TEOjSVIn38uatPt1xeU12loTtvjRJPnMj9tM/XDkU5tQZL2m1n6jVTa0qo5Shf4R92LlLFlvQzT5Tcs0bVu3brawYMHZTXzZZiuIMPKXFxAh1G6wuZkQDOZbgrTFZXfjQpM2+dEhzUzxb0l99mddChLgYSlltLX15dIM+ppKXEPm5CkuAelpWzfti3S4MW43HmB+6V5vS0KOjD5oCuoiHFF3fMNOs7mNsQbcQ8rYlxh+7PentQr0pp3tsz0DICTa375JpU0vtY/yWepUQdv2tfyxv2kmsFLy2fEcQ/s7LPPlhAGLpPUCTzQwkZoAbuomPvrLFy40GzevNlMnz7dgqLoJnHfEXkRxRh18K9IOTEwMGDOP//86MFntDfreZemz7kRWTNTdyd8TQLNEDjjjDNwBdVMEzyWBCYI2DLTTJ7mT4yCL0igTgI442MhgSIQoJkWIUoV1jg0NGTa29srTIBDLwoBmmlRIlVhne9+97srPHoOvSgEznQLTePBk7s9viaBZgmMj4832wSPJwEPAVs+xzNTD2auaCPAH9HTFhHqCSNAMw0jw+0kQAIkUAcBmmkdsFiVBEiABMIIeMwU77+S92CFHcDtJJAlgTfffDPL7thXBQjY8jiPmVaAI4dYMAIvvPBCLr/9VDBMlFsnARuGSjOtMwisTgIkQAJBBDxvjZIKbtcOehuBe78cI0vWN5G3SorOB3H2jyEqH9Ko/+k5nzRTpkyRFJu0zFpPveOF4Khj/PpZ3xti23y8vTW+VveZaVRSBMkoWv2i6fUzt63f3x/X4wnYjom29uOIFE1v3Hhkv+eLTmQjlySghcBtt93mfJz0ggsu0CKJOkggkEDdZ6aBrXAjCVgi8Pjjj5u33nrLUutslgTSI0AzTY8lW0qZAH5z6dUTg+bxxx5LuWU2RwLpE+BlfvpM2WJKBOZdc415+ul/Mf/1ve81/6fvucgvlE6pSzZDAg0T4Jlpw+h4oE0COCsdHho2b3vbFOdb7Pfs3m2zO7ZNAk0T4Jlp0wjZgA0COCsdONY/0fQ73vlO0/MvT/PsdIIIX2gjwDNTbRGhHiNnpW4U//7GG4Znp24ifK2NAM9MtUWEeoz/rFSQ8OxUSHCpkQDPTDVGpcKacFY6+MqJQAI8Ow3Ewo1KCAR+nFSJNsqoIIGXXnrJfPLTn54Y+WP795tr5s+fWH/11VcnXvMFCWgiwMt8TdGglkkE8NHDoM9mT6rIDSSQMwFe5uccAHZPAiRQDgI003LEkaMgARLImQDNNOcAsHsSIIFyEKCZliOOHAUJkEDOBGimOQeA3ZMACZSDAM20HHHkKEiABHImQDPNOQDsngRIoBwEaKbliCNHQQIkkDMBmmnOAWD3JEAC5SBAMy1HHDkKEiCBnAnQTHMOALsnARIoBwGaaTniyFGQAAnkTIBmmnMA2D0JkEA5CNBMyxHHUo5iYGDAGZcsSzlIDqo0BGimpQlleQbyzDPPmE/NnmMWX/s5Z1BY/vlHZ5n9//RP5RkkR1I6Avw+09KFtNgDOnDggLnpxq+Zt956a9JApkyZYm5dtdJ89cYbJ+3jBhLImwDNNO8IsP8JAqdPnzZXXv4X5t9ef31im/9Fy9QW8+TBg2batGn+XVwngVwJ8DI/V/zs3E2gv7/f/Mfp0+5Nk16fHj9tHtm/f9J2biCBvAnQTPOOAPufIDB44kTg5f1EhT+8eP755/2buE4CuROgmeYeAgoQAv/5T/9UXkYuZ8w4N3I/d5JAHgRopnlQZ5+BBGbOnGlwTzSq4CHUrItnRVXhPhLIhQDNNBfs7DSIwNlnn20++5d/GbRrYttHLp5lLr/88ol1viABLQRoploiQR0Ogb/9u78zn5r7aYMzUHfBGevHWj9h7tq40b2Zr0lADQG+NUpNKCjETaC3t9c8uG+feXXwVTPtrLPMZz8738z55CdNS0v0bQB3G3xNAlkSoJlmSZt9kQAJlJbA/wMeO2b544umpgAAAABJRU5ErkJggg==" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron’s path while in the region of magnetic field is a quarter circle. Show that the</p>
<p>(i) speed of the electron after acceleration is 9.4×10<sup>6</sup>ms<sup>−1</sup>.</p>
<p>(ii) radius of the path is 4.5×10<sup>−4</sup>m.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the momentum of the electron as it enters and leaves the region of magnetic field. The magnitude of the initial momentum and of the final momentum is 8.6×10<sup>−24</sup>Ns.</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 an arrow to indicate the vector representing the change in the momentum of the electron.</p>
<p style="text-align: left;">(ii) Show that the magnitude of the change in the momentum of the electron is 1.2×10<sup>−23</sup>Ns.</p>
<p style="text-align: left;">(iii) The time the electron spends in the region of magnetic field is 7.5 ×10<sup>−11</sup>s. Estimate the magnitude of the average force on the electron.</p>
<div class="marks">[3]</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 a lighting system. <strong>Part 2</strong> is about a satellite.</p>
<p><strong>Part 1</strong> Lighting system</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Ohm’s law.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A lighting system is designed so that additional lamps can be added in parallel.</p>
<p><img 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" alt></p>
<p>The diagram shows three 6V, 9W lamps connected in parallel to a supply of emf 6.0V and negligible internal resistance. A fuse in the circuit melts if the current in the circuit exceeds 13A.</p>
<p>(i) Determine the maximum number of lamps that can be connected in parallel in the circuit without melting the fuse.</p>
<p>(ii) Calculate the resistance of a lamp when operating at its normal brightness.</p>
<p>(iii) By mistake, a lamp rated at 12V, 9W is connected in parallel with three lamps rated at 6V, 9W. Estimate the resistance of the circuit stating any assumption that you make.</p>
<div class="marks">[8]</div>
<div class="question_part_label">b.</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>A cable consisting of many copper wires is used to transfer electrical energy from a generator to an electrical load. The copper wires are protected by an insulator.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The cable consists of 32 copper wires each of length 35 km. Each wire has a resistance of 64 Ω. The resistivity of copper is 1.7 x 10<sup>–8</sup> Ω m.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The copper wires and insulator are both exposed to an electric field. Discuss, with reference to charge carriers, why there is a significant electric current only in the copper wires.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the radius of each <strong>wire</strong>.</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>There is a current of 730 A in the cable. Show that the power loss in 1 m of the cable is about 30 W.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When the current is switched on in the cable the initial rate of rise of temperature of the cable is 35 mK s<sup>–1</sup>. The specific heat capacity of copper is 390 J kg<sup>–1</sup> K<sup>–1</sup>. Determine the mass of a length of one metre of the cable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about magnetic fields.</p>
<p>A long straight vertical conductor carries an electric current. The conductor passes through a hole in a horizontal piece of paper.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State how a magnetic field arises.</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 diagram below, sketch the magnetic field pattern around the long straight current-carrying conductor. The direction of the current is into the plane of the paper.</p>
<p><img 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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The long straight conductor is formed into a coil consisting of two separate turns, X and Y. The coil hangs with its axis vertical.</p>
<p>Assume that the turns of the coil each behave as a long straight conductor.</p>
<p>(i) Explain why, when there is a current in the coil, the separation of X and Y decreases.</p>
<p>(ii) The current in the coil is 15 A and the circumference of one turn is 0.48m. In order to restore X and Y to their original separation, a mass of 2.8×10<sup>–4</sup> kg is suspended from turn Y. Estimate the magnetic field strength at X due to Y.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The graph shows how current <em>I</em> varies with potential difference <em>V</em> for a resistor R and a non-ohmic component T.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State how the resistance of T varies with the current going through T.</p>
<p>(ii) Deduce, without a numerical calculation, whether R <strong>or</strong> T has the greater resistance at <em>I</em>=0.40 A.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Components R and T are placed in a circuit. Both meters are ideal.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Slider Z of the potentiometer is moved from Y to X.</p>
<p>(i) State what happens to the magnitude of the current in the ammeter.</p>
<p>(ii) Estimate, with an explanation, the voltmeter reading when the ammeter reads 0.20 A.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>In an experiment a student constructs the circuit shown in the diagram. The ammeter and the voltmeter are assumed to be ideal.</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by an ideal voltmeter.</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 student adjusts the variable resistor and takes readings from the ammeter and voltmeter. The graph shows the variation of the voltmeter reading <em>V</em> with the ammeter reading <em>I</em>.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">Use the graph to determine</p>
<p style="text-align: left;">(i) the electromotive force (emf) of the cell.</p>
<p style="text-align: left;">(ii) the internal resistance of the cell.</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>A connecting wire in the circuit has a radius of 1.2mm and the current in it is 3.5A. The number of electrons per unit volume of the wire is 2.4×10<sup>28</sup>m<sup>−3</sup>. Show that the drift speed of the electrons in the wire is 2.0×10<sup>−4</sup>ms<sup>−1</sup>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a cross-sectional view of the connecting wire in (c).</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The wire which carries a current of 3.5A into the page, is placed in a region of uniform magnetic field of flux density 0.25T. The field is directed at right angles to the wire.</p>
<p style="text-align: left;">Determine the magnitude <strong>and</strong> direction of the magnetic force on one of the charge carriers in the wire.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about electric circuits.<strong> Part 2</strong> is about the energy balance of the Earth.</p>
<p><strong>Part 1</strong> Electric circuits</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define</p>
<p>(i) <em>electromotive force</em> (emf ) of a battery.</p>
<p>(ii) <em>electrical resistance</em> of a conductor.</p>
<p> </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 style="text-align: left;">A battery of emf <em>ε</em> and negligible internal resistance is connected in series to two resistors. The current in the circuit is <em>I</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) State an equation giving the total power delivered by the battery.</p>
<p style="text-align: left;">(ii) The potential difference across resistor <em>R</em><sub>1</sub> is <em>V</em><sub>1</sub> and that across resistor <em>R</em><sub>2</sub> is <em>V</em><sub>2</sub>. Using the law of the conservation of energy, deduce the equation below.</p>
<p style="text-align: center;"><em>ε</em> =<em>V</em><sub>1</sub> +<em>V</em><sub>2</sub></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the<em> I</em>-<em>V</em> characteristics of two conductors, X and Y.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p>On the axes below, sketch graphs to show the variation with potential difference<em> V</em> of the resistance of conductor X (label this graph X) and conductor Y (label this graph Y). You do not need to put any numbers on the vertical axis.</p>
<p style="text-align: center;"><img 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" alt></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>The conductors in (c) are connected in series to a battery of emf <em>ε</em> and negligible internal resistance.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The power dissipated in each of the two resistors is the same.</p>
<p style="text-align: left;">Using the graph given in (c),</p>
<p style="text-align: left;">(i) determine the emf of the battery.</p>
<p style="text-align: left;">(ii) calculate the total power dissipated in the circuit.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electric current and resistance</p>
<p>The graph below shows how the current <em>I</em> in a tungsten filament lamp varies with potential difference <em>V</em> across the lamp.</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) Define the electrical <em>resistance</em> of a component.</p>
<p>(ii) Explain whether or not the filament obeys Ohm’s law.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate the resistance of the filament lamp when the potential difference across it is 2.8 V.</p>
<p>(ii) The length of the filament in a lamp is 0.40 m. The resistivity of tungsten when the potential difference across it is 2.8 V is 5.8×10<sup>–7</sup>Ω m. Calculate the radius of the filament.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two identical filament lamps are connected in series with a cell of emf 6.0 V and negligible internal resistance. Using the graph on page 26, calculate the total power dissipated in the circuit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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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" 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>A company designs a spring system for loading ice blocks onto a truck. The ice block is placed in a holder H in front of the spring and an electric motor compresses the spring by pushing H to the left. When the spring is released the ice block is accelerated towards a<br>ramp ABC. When the spring is fully decompressed, the ice block loses contact with the spring at A. The mass of the ice block is 55 kg.</p>
<p style="text-align: center;"><img 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" alt></p>
<p>Assume that the surface of the ramp is frictionless and that the masses of the spring and the holder are negligible compared to the mass of the ice block.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) The block arrives at C with a speed of 0.90ms<sup>−1</sup>. Show that the elastic energy stored in the spring is 670J.</p>
<p>(ii) Calculate the speed of the block at A.</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>Describe the motion of the block</p>
<p>(i) from A to B with reference to Newton's first law.</p>
<p>(ii) from B to C with reference to Newton's second law.</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>On the axes, sketch a graph to show how the displacement of the block varies with time from A to C. (You do not have to put numbers on the axes.)</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The spring decompression takes 0.42s. Determine the average force that the spring exerts on the block.</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>The electric motor is connected to a source of potential difference 120V and draws a current of 6.8A. The motor takes 1.5s to compress the spring.</p>
<p>Estimate the efficiency of the motor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about simple harmonic motion (SHM) and waves. <strong>Part 2</strong> is about voltage–current (<em>V</em>–<em>I</em>) characteristics.</p>
<p><strong>Part 1</strong> Simple harmonic motion (SHM) and waves</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Voltage–current (<em>V</em>–<em>I</em>) characteristics</p>
<p>The graph shows the voltage–current (<em>V</em>–<em>I</em>) characteristics, at constant temperature, of two electrical components X and Y.</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>A particle P moves with simple harmonic motion. State, with reference to the motion of P, what is meant by simple harmonic motion.</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>Use the graph opposite to determine for the motion of P the</p>
<p>(i) period.</p>
<p>(ii) amplitude.</p>
<p>(iii) displacement of P from equilibrium at <em>t</em>=0.2s.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The particle P in (b) is a particle in medium M<sub>1</sub> through which a transverse wave is travelling.</p>
<p>(i) Describe, in terms of energy propagation, what is meant by a transverse wave.</p>
<p>(ii) The speed of the wave through the medium is 0.40ms<sup>–1</sup>. Calculate, using your answer to (b)(i), the wavelength of the wave.</p>
<p>(iii) The wave travels into another medium M<sub>2</sub>. The refractive index of M<sub>2</sub> relative to M<sub>1</sub> is 1.8. Calculate the wavelength of the wave in M<sub>2</sub>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to the graph and to Ohm’s law, whether or not each component is ohmic.</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>Components X and Y are connected in parallel. The parallel combination is then connected in series with a variable resistor R and a cell of emf 8.0V and negligible internal resistance.</p>
<p><img 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uvc/9z7mh2Fn/BDgAABAgQIEGhigd9r4rmbOgECBAgQIECgV0Ag8kYgQCD3Am3jxud+jiZIgEB1AgJRdX6OJkCAAAECBHIgIBDloIimQIAAAQIECFQnIBBV5+doAgQIECBAIAcCAlEOimgKBAgQIECAQHUCAlF1fo4mQIAAAQIEciAgEOWgiKZAgAABAgQIVCcgEFXn52gCBAgQIEAgBwICUQ6KaAoECBAgQIBAdQICUXV+jiZAgAABAgRyICAQ5aCIpkCAAAECBAhUJyAQVefnaAIECBAgQCAHAgJRDopoCgQIECBAgEB1AgJRdX6OJkCAAAECBHIgIBDloIimQIAAAQIECFQnIBBV5+doAgQIECBAIAcCAlEOimgKBAgQIECAQHUCAlF1fo4mQIAAAQIEciAgEOWgiKZAgAABAgQIVCcgEFXn52gCBAgQIEAgBwICUQ6KaAoECBAgQIBAdQICUXV+jiZAgAABAgRyICAQ5aCIpkCAAAECBAhUJyAQVefnaAIECBAgQCAHAgJRDopoCgQIECBAgEB1AgJRdX6OJkCAAAECBHIgIBDloIimQIAAAQIECFQnIBBV5+doAgQIECBAIAcCAlEOimgKBAgQIECAQHUCAlF1fo4mQIAAAQIEciAgEOWgiKZAgAABAgQIVCcgEFXn52gCBAgQIEAgBwICUQ6KaAoECBAgQIBAdQICUXV+jiZAgAABAgRyICAQ5aCIpkCAAAECBAhUJyAQVefnaAIECBAgQCAHAgJRDopoCgQIECBAgEB1AgJRdX6OJkCAAAECBHIgIBDloIimQIBAcgJt48Yn15meCBBITEAgSoxaRwQIECBAgEBaBQSitFbGuAgQIECAAIHEBASixKh1RIAAAQIECKRVQCBKa2WMiwABAgQIEEhMQCBKjFpHBAgQIECAQFoFBKK0Vsa4CBAgQIAAgcQEBKLEqHVEgAABAgQIpFVAIEprZYyLAAECBAgQSExAIEqMWkcECBAgQIBAWgUEorRWxrgIECBAgACBxAQEosSodUSAAAECBAikVUAgSmtljIsAAQIECBBITEAgSoxaRwQIECBAgEBaBQSitFbGuAgQIECAAIHEBASixKh1RIAAAQIECKRVQCBKa2WMiwABAgQIEEhMQCBKjFpHBAgQIECAQFoFBKK0Vsa4CBAgQIAAgcQE9kuspybpqG3c+CaZqWkSaF4B/86bt/Zmnl6Bjk2dVQ1OIKqKr/zB1RalfKu2EiAwUoFaBxj/xkdaCccRqI9ALf6NO2VWn9polQABAgQIEMiQgECUoWIZKgECBAgQIFAfAYGoPq5aJUCAAAECBDIkIBBlqFiGSoAAAQIECNRHQCCqj6tWCRAgQIAAgQwJCEQZKpahEiBAgAABAvUREIjq46pVAgQIECBAIEMCAlGGimWoBAgQIECAQH0EBKL6uGqVAAECBAgQyJCAQJShYhkqAQIECBAgUB8Bgag+rlolQIAAAQIEMiQgEGWoWIZKgAABAgQI1EdAIKqPq1YJECBAgACBDAkIRBkqlqESIECAAAEC9REQiOrjqlUCBAgQIEAgQwICUYaKZagECBAgQIBAfQQEovq4apUAAQIECBDIkIBAlKFiGSoBAgQIECBQHwGBqD6uWiVAgAABAgQyJCAQZahYhkqAQOMFOjZ1Nn4QRkCAQM0FBKKak2qQAAECBAgQyJqAQJS1ihkvAQIECBAgUHMBgajmpBokQIAAAQIEsiYgEGWtYsZLgAABAgQI1FxAIKo5qQYJECBAgACBrAkIRFmrmPESIECAAAECNRcQiGpOqkECBAgQIEAgawICUdYqZrwECBAgQIBAzQUEopqTapAAAQIECBDImoBAlLWKGS8BAgQIECBQcwGBqOakGiRAgAABAgSyJiAQZa1ixkuAAAECBAjUXEAgqjmpBgkQIECAAIGsCQhEWauY8RIgQIAAAQI1FxCIak6qQQIECBAgQCBrAgJR1ipmvAQIECBAgEDNBQSimpNqkAABAgQIEMiagECUtYoZLwECBAgQIFBzAYGo5qQaJECAAAECBLImIBBlrWLGS4AAAQIECNRcQCCqOakGCRAgQIAAgawJCERZq5jxEiBAgAABAjUXEIhqTqpBAgQIECBAIGsCAlHWKma8BAgQIECAQM0FBKKak2qQAAECBAgQyJqAQJS1ihkvAQIECBAgUHMBgajmpBokQIAAAQIEsiYgEGWtYsZLgAABAgQI1FxAIKo5qQYJECBAgACBrAkIRFmrmPESIECAAAECNRcQiGpOqkECBAgQIEAgawICUdYqZrwECBAgQIBAzQUEopqTapAAAQIECBDImoBAlLWKGS8BAgQIECBQcwGBqOakGiRAgAABAgSyJiAQZa1ixkuAAAECBAjUXEAgqjmpBgkQIECAAIGsCQhEWauY8RIgULFAx6bOio9xAAECzSUgEDVXvc2WAAECBAgQKCMgEJVBsYkAAQIECBBoLgGBqLnqbbYECBAgQIBAGQGBqAyKTQQIECBAgEBzCQhEzVVvsyVAgAABAgTKCAhEZVBsIkCAAAECBJpLQCBqrnqbLQECBAgQIFBGYL8y22wiQIBAAwS2RvtjX401TzwQy57a3Nf/qGg9/oK44JST4qwzJ8XYWo2qpzPWrfh8fGbJyniuu9joITH14kviQ/NOj0ljW4bopSvWXXFyzFm5ZR/7jY7Dr/5arJ77xkH2eTGWv/f0uGnj9jKvHx1XrXsw5owfVeY1mwgQqJeAT4jqJatdAgSGL9D1o1jy3ilx1qLH49VjPhFPdXRG8WKKHR3fjuuP6YrHF50Rx7z3tljf1TP8NgfZs6dzZVz0F++JOV/YFqet/ElvPy+uuype94OPxVknXRzL27cOcmRp89iYsuRH8eK6e2L+8YeUNvb9LgSrv7mnMP7n9xGGiru+Meb8XXs8teLDMbW1FHz2j8Nn3hSPPvsVYWiAqqcEEhHY4aemAm84bFxN29MYgdwL/O75HfdOP3zHGw57144rn/p1men+bse2p67a8c7Cv603Tb9nx8u/K7PLMDf97ucP75j35xN3vGHCOTvuffn/7XnUvz22Y86EceVf23PP3c92jb1wXGF8b3jTFTvW/vful4d+9Lsd//bo3B1vOmzijnde/p0d24Y+wB4ECJQRqMXfXp8QJRI7dUKAQHmBnuj63gNx34bfFM5anRxnv+vgMru1xNh3nRmnHzIqujc8Go9t/G2ZfYaxqeeFuG/h9bGmcKardfrsOKtt9J4HHXRSfGhO4RRX9zNx6+Vfio7hfBjVMjGmzzomSp/xxPbCp1qbe8/B7dn2oM/+K3758i+ie9S7Y+GVU2t3SnDQ/rxAgMBgAgLRYDK2EyCQgMB/ReeP10fvapwDD4wDBlu+07J/HHhg8cVfxg9/UlpfVMnw+gWvOCiOPenoMuHjtXHEiVMLq4kKmWjD5+Lm1f9nGB20xEHT5sXsQljb+fNsfGnlxhhOlurdv+f5WPP1XxYC2oyYetBgkx/GMOxCgEDVAgJR1YQaIEBg5AL/HV1b/33n4c//ODZsHSRK9PwmXn11kNeG1fmvYu2D39wZvEYdHm//3/uXParlbW+Pd/R+cNQVa2//UrQPp8uWt8QJfzW+r73u2Pz1J2PjcI4rHNGz8cn4xuZD4/Rz/6JMQCs7RBsJEKiTgEBUJ1jNEiAwHIH/EWMP+oOdOxZOVX35qy+V/3Sl6xfx0q8Kp6JGHRmnTT10OA3vuc/WZ+Kb3+/aue31bTF+sG+SjfrTmPDGvlNpm9fGmmGdnnttTJozL6aWPiTa/FB8blifLr0S3//KN2PzIVPjhCNeu+d4PSNAIHEBgShxch0SILBbYPdpqojfRPsNc2P+Yx0DQtErse6Wz8ba7v1j0hXXxQUD1/7sbmyQRz2x9bvfiqdLS3v2dWouXhdtby59uf/X8dLP+0LUIC3v2nzQsXHe9MP6nnbF0088E0N9Vy22Ph1fXvV/Y+ol749JzpbtovSAQKMEBKJGyeuXAIFegZZJs+NjM0thYnOsWTg9zrzlR7EzimyN9bfMi4tXvhqHX7wsls99c1SeHfoWLvd5j37zhPjTQe37fWJVGMEP/+FnUcpRgx7S+8LBcdy5J/euPyo+7X5qWXyhfV+Lv7dHx1cfiafj6Dj53a/fd9NeJUAgEQGBKBFmnRAgMLjAwTHlpi/E0hNL1/T5TTx39/lx6l/fFY/cODdmLe+JM+/9Wjx25TtGuM6m3zqlwQfR98qoOODAP9y1V8/WbdG3wmnXtsEetEx6f3zk+NKnS53xta/8oC/UlTmi56fx2P3PxusLp9pOt5i6DJBNBJIXEIiSN9cjAQIDBVra4oy7v9gvFHXHlu/cGovu+c+YvfIrccMJ40fwyVCpk19HxwulU1+jY+LEP939NfnSLoP87n5la+FE3nB/Xh9TZ50crb27F8a/6pFYW3aRePEbb4/F1wqLqU898S1VzGu447IfAQLDERCIhqNkHwIE6i9QDEX3PBxLd33KUuzyxVg2832xZP2QK3LqP74he9h9vaTeXbu/G59Z/uyA9VDFV3Z+423r8fPiwkkWUw/JagcCCQkIRAlB64YAgSEECvcXe3LxxXHtK2fEzUveF4eXvrXV3R7LzpwWF+212HqI9hrxcstb48zzj+r7BGqQr+D3fuMt4thTjilcEckPAQJpERCI0lIJ4yDQzALFe5lNPz3mrX1r3PnA4pgx85Px2HduiRN23eeruNj6g2W+gTYctDFx4MEDrko96GH/GZ0v/fOuV/e9AHvXbv0ejI62M2bEsaUwt9dX8H8b7cuXxdqDTo7zjreYuh+chwQaLiAQNbwEBkCgyQUKt9RYPnteLNt4YMy48ZKY0neNoJbxM+Pz37o/5h1RuohiIRQtuibu6yh3h/h9GY6N8W98Xd8O2+Oll/5lmN8cGxV/VLhGUsX/kSzdAqS3x8JX8B/8xu7bgPRdmfqQ6WfGcYNdC2lfU/EaAQJ1E6j433rdRqJhAgSaUKBwjaDVn4pbB7uX2dh3xBUPLNsdior3GbvxiaGv8bOH5P+MQycctmsh9b6/Ofbb2La1FLh+P9444Y9HsOi5cG2ls86KSX2fEu2+/1pxrstixa+OjPef9dYRtLvHpDwhQKDGAgJRjUE1R4BAJQIdser+p3s/sRn9zrfH28pdZKg3FN0WM/pOn3X/4B9i4/AuDtQ3kML9xiYfHW/ue7bPb471/Gu8/LP/7NtzYvz55HI3mx16fi1tp8Z5x5W+gv9irLjzW4UQ96v43hM/jjhuRkyv+OKSQ/dpDwIEqhMQiKrzczQBAtUIdP9LvPxi8ROZIb4OP/Yv4uzppfuFjaDDQ4+N0yb3nXrb1z3TSrcIKXQxavIJMeXQ0mKgSvvs/xX8woUav/+tWLvm/vjMU38Y02YdazF1pZz2J5CAgECUALIuCBAYROD3/iAO/KNi6Bhqbc9r421HH1mITYWfPzowxlb6X66WiTF91jE7T5t1/yJe/uV/lR1Qzy9fihd7P30aG8fOOjXayn1iVfbIgRsHfgV/TSyae0/hvmUnx9nvGtmnTgN78JwAgdoKVPqfldr2rjUCBJpboN+d4rf/8B/jnwa9S3xP/Pu2bYVr+oyKQ/7qL+OIioNK4bTZtEvjst5PiQa7ivRvY+N31sbmQkVGTf5QLJr2J9XVpuXIuPCSd+9au1RodYRjr24YjiZAYHgCAtHwnOxFgEBdBAp3ip932c71QZsfjBtWvFDmQoaFjrvWxtKl343u1rPiY/OOLLsguadzZVx0zBujbdwRMW3XvdD6DbrlzXHB0gWFxc7Fq0iviEcHfFutp6PQ//IXC7nlmLhs6fur+HSo1GchhB0/I6aVLh0w6t3xkTnlx146wm8CBBonIBA1zl7PBAgUBcaeEDd85frCNYe2F+52PzPOvOKhaO8qfVS0PTatvTcWfWBhrH7drFj2lY/u+lr+nnjd8c9PPhprthTPdxXuhXbf6mgvs/C6pW12LH/ob+LwKHxb7ZJb4snO4vqlwq002u+Ni2YtjfaDToirVt4Zc2q16Lnf2qdRx50U73Lfsj3L5hmBFAm8ZkfhJ0XjSXQobeOqWKSZ4Eg7NnUm2JuuCDRIoHCl6nX3Px7fXn1vPLJx9x3ERh0xMy6ZdlK85/wpMW4fp8qKnxDNP/eaQigaHYdfvCy+uI+bwfZ0rosHVj4Yy+9+KrYUp9t6fMz761kxc4g+RiLT03FvnH3So/H2laviCrfqGAmhYwgMKVD8e17t38qmD0TVAg5ZpSp3qEWRqxyCwwkQIECAQKoFavG30imzVJfY4AgQIECAAIEkBASiJJT1QYAAAQIECKRaQCBKdXkMjgABAgQIEEhCQCBKQlkfBAgQIECAQKoFBKJUl8fgCBAgQIAAgSQEBKIklPVBgAABAgQIpFpAIEp1eQyOAAECBAgQSEJAIEpCWR8ECBAgQIBAqgUEolSXx+AIECBAgACBJAQEoiSU9UGAAAECBAikWkAgSnV5DI4AAQIECBBIQkAgSkJZHwQIECBAgECqBQSiVJfH4AgQIECAAIEkBASiJJT1QYAAAQIECKRaQCBKdXkMjgABAgQIEEhCQCBKQlkfBAgQIECAQKoFBKJUl8fgCBAgQIAAgSQEBKIklPVBgAABAgQIpFpAIEp1eQyOAAECBAgQSEJgvyQ60QeB/gJbtmyJDes39G465dRT+r/kMQECBAgQaIiAQNQQ9ubq9OWXXo7169fHP/7DM7Fx48b4ecfPewHuuOuu5oIwWwIECBBIrYBAlNrSZHdg7e3tsf4nP4lnfvRMPPtse2x7ddtekzngwAPiuHcdt9d2GwgQIECAQCMEBKJGqOeoz//4j/+I9g3t8bOfvdAbgNatXTus2Z03630xZsyYYe1rJwIECBAgUG8Bgajewjlrv7T+54UXXogf/fAHu9YCVTrN82adV+kh9idAgAABAnUTEIjqRpufhh9+6OF44fnn4+///uld63+qmd0Hzj8/Wltbq2nCsQQIECBAoKYCAlFNOfPZWDEMPXD//TWb3HunnV6ztjREgAABAgRqIeA6RLVQzHkb1338YzFl6tSazHLyUZNj0qRJNWlLIwQIECBAoFYCAlGtJHPezqc/+5kohplqfy6YfWG1TTieAAECBAjUXEAgqjlpPhssfiPspptvieLX5Uf684a2N4QLMY5Uz3EECBAgUE8Bgaieujlre8LECXHvF74w4lmdfc45Iz7WgQQIECBAoJ4CAlE9dXPYdnH9z0ivMH3OuefmUMSUCBAgQCAPAgJRHqqY8ByKp72KX52v5Ke4vwsxViJmXwIECBBIUkAgSlI7R33Net/7Yr9Rw79qw7yLL8rR7E2FAAECBPImIBDlraIJzOeJbzwR7znhhN5PfN7yZ382ZI/Fr+y7EOOQTHYgQIAAgQYKCEQNxM9i15+67VOxYP783q/gf+Ob34zlK74w5DfPzv/gB7M4VWMmQIAAgSYSEIiaqNjVTLV4E9eFl1wSd91xR0ybPi3uK1y5uvipT/F/Dz28ctCmi1+1P/a4Ywd93QsECBAgQCANAgJRGqqQ8jEUb+h6QWFR9OpVq2P+ggVx2+2377FAuvh1/MG+eXbJpQtTPjvDI0CAAAECEQKRd8E+BV5+6eU47ZRTeu9qXww9ly68tOz+xW+eFcNS/5/iRRyPe9dx/Td5TIAAAQIEUikgEKWyLOkYVGnxdHE0316zZsirTBfDUvF0WunnvFnv2+OTpNJ2vwkQIECAQNoEBKK0VSQl4+m/ePrxJ56I4mmx4fx8/JOf3HXPs/NmnTecQ+xDgAABAgQaLjD8C8k0fKgGkIRAcfH0ddde27teqPhpTzHgVHJBxeK+xVNrj3/9675qn0TB9EGAAAECNREQiGrCmI9Giouni1+p37B+Q+96oMHWCw012+I3z+bMnTvUbl4nQIAAAQKpERCIUlOKxg6kuHj6nLNnxrZXt/V+wuOu9I2th94JECBAIFkBa4iS9U5lb5Uunk7lJAyKAAECBAhUISAQVYGXh0NHung6D3M3BwIECBAgUBIQiEoSTfZ7sCtPNxmD6RIgQIAAgV4Ba4ia8I1Qq8XTTUhnygQIECCQUwGBKKeFHWxaFk8PJmM7AQIECDSzgFNmTVR9i6ebqNimSoAAAQIVCQhEFXFld2eLp7NbOyMnQIAAgfoLCET1N25oDxZPN5Rf5wQIECCQEQFriDJSqJEM0+Lpkag5hgABAgSaUUAgymnVLZ7OaWFNiwABAgTqIuCUWV1YG9uoxdON9dc7AQIECGRPQCDKXs32OWKLp/fJ40UCBAgQIFBWQCAqy5K9jRZPZ69mRkyAAAEC6RGwhig9tRjxSCyeHjGdAwkQIECAQK+AQJTxN4LF0xkvoOETIECAQCoEnDJLRRlGNgiLp0fm5igCBAgQIDBQQCAaKJKR5xZPZ6RQhkmAAAECmRAQiDJRpt2DtHh6t4VHBAgQIECgVgLWENVKMoF2LJ5OAFkXBAgQINCUAgJRRspu8XRGCmWYBAgQIJBJAafMMlA2i6czUCRDJECAAIFMCwhEGSjfgvnzY/JRk+PxJ56ICRMnZGDEhkiAAAECBLIlIBCltF6lxdPF4U2bPi3uu//+aG1tTeloDYsAAQIECGRbwBqiFNav/+Lp4vBuu/32FI7SkAgQIECAQH4EfEKUsloWF0+fdsopsWH9hrjjrrtSNjrDIUCAAAEC+RQQiFJUV4unU1QMQyFAgACBphIQiFJSbleeTkkhDIMAAQIEmlJAIGpw2UuLp++64w6LpxtcC90TIECAQPMKWFTdwNr3Xzw9f8GCuHThpQ0cja4JECBAgEDzCghEDaq9K083CF63BAgQIECgjIBTZmVQ6r3J4ul6C2ufAAECBAhUJiAQVeZV9d4WT1dNqAECBAgQIFBzAafMak5avsHi4unrrr02Vq9a3bt4+uOf/GSMGTOm/M4j3Nq99so4cvbK2D7c41uPj3kX/nkc3PaX8YGp46NluMfZjwABAgQI5EzAJ0QJFLS4ePqC88/vDUPFxdPFK0/XOgwVpzFq6i3x002d0fHso3HV8Yf0m9n+cfjMy2Lpqp9ER/H1Tc/HUysWx4zX/WMsu+HGuH721Hjrez8eT3YOO0r1a9tDAgQIECCQfQGBqM41HHjl6US+STb2qDh/1jtjdGluo0+Oj9wwP86YdFDfltExburcuHnVqlh64s7g1L3xizHv3E/Euq6e0lF+EyBAgACBphEQiOpY6kYunh41fkJMHGpuLW1xxpKPxozWUTv33PJoXHPj2uga6jivEyBAgACBnAkIRHUqaGYWT489Ot5zXOmTo+7Y8ndPRnt3nVA0S4AAAQIEUiogENW4MNm78vTvx/iJ/2u3wvbCGqPNEtFuEI8IECBAoBkEfMushlV25ekaYmqKAAECBAgkKCAQ1Qg7u1eefiU2PPPSboVDjoqjDu1bU7R7q0cECBAgQCDXAk6Z1aC8jVw8Xe3wezq+EV/+fmkZ9f4x6fzT4wgXJKqW1fEECBAgkDEBgajKgmVm8XSZefZ0roz5s5b2LaIeFa0nXhO3zn6zCzSWsbKJAAECBPIt4JTZCOubxJWnRzi0IQ7ria72r8ej33k87rv7qdhS3HvUETHjho/FopmTYuwQR3uZAAECBAjkUUAgGkFVM7d4evvKmDNx5V4zHXXEzLjqby+KC9y2Yy8bGwgQIECguQScMquw3g258nSFY9xr99EzY/lLO2/Z8Z2rj4nSkunu538ZcdgfO0W2F5gNBAgQINBsAgJRBRXP8uLpndMcHW2zr4vLJu+/82n3M3HrJXfFerfrqOBdYFcCBAgQyKOAQDTMqmZ58fQeU2x5c1ywdEFM6vuYqHvjsviw23XsQeQJAQIECDSfgEA0RM2zd+XpISZUeLml7f1x682nRWvvroXbday8IW5e+8rQB9qDAAECBAjkVEAg2kdhi4unLzj//Fi9anXMX7Agbrv99hgzZsw+jsjKS4W73Z/50bh+5mF9A/5FPLL4dne6z0r5jJMAAQIEai4gEA1CmsnF04PMpfzmg2PK4qvd6b48jq0ECBAg0GQCAlGZgmd/8XSZSZXbNHZqLLrxLKfOytnYRoAAAQJNJSAQDSh3bhZPD5hX+actMXbqJXueOpv34Vjesb387rYSIECAAIGcCghEfYXN2+Lpnq5XY1vpTduzLbb9e0/p2YDfhVNnN30+rur3VfybZhVCUfvWAft5SoAAAQIE8isgEBVqm7vF013r4747H4/Npfdt4XpDD9z27dg0WCYa8FX82LImbpo+Lebecm98VTAqKfpNgAABAjkWeM2Owk+O57fPqbWNGx/fXrMmzjl7Zmx7dVvccdddccqpp+zzmKRfLI6xY1PnsLrtXntlHDl7Zez7hNfRcdW6B2PO+NL1qktNb4+Oey+IU294JrpLm0q/i1e6fu6WmDLwkNLrfhMgQIAAgQYKVPK3crBhNn0gKsIccOAB8dDDK2PCxAmDOTVsey2K3LDB65gAAQIECCQgUIu/lU17yqy4eLr4M/moyfH4E0+kMgwl8B7SBQECBAgQIFAQaLq73RcXT1937bW9F1ssvgPuu//+nFxs0fuZAAECBAgQGKlAU31CNHDxdBEtH1eeHmn5HUeAAAECBAgUBZomEOX/ytPe0AQIECBAgMBIBZoiEDXNladH+i5wHAECBAgQaHKB3Aei5rrydJO/m02fAAECBAiMUCC3gShvV54eYX0dRoAAAQIECAxDIJffMisunl4wf35sWL8h5i9YEJcuvHQYFHYhQIAAAQIEmlUgd4GouHg6zVeebtY3mnkTIECAAIE0C+TqlJnF02l+qxkbAQIECBBIr0BuApHF0+l9kxkZAQIECBBIu0DmA5HF02l/ixkfAQIECBBIv0Cm1xBZPJ3+N5gREiBAgACBLAhkNhBZPJ2Ft5cxEiBAgACBbAhk8pSZxdPZeHMZJQECBAgQyIpA5gLRx6/7WO81hiYfNTkef+KJmDBxQlasjZMAAQIECBBIqUBmAlFx8fSc2RfGA/ffH9OmT4v7Cr9bW1tTympYBAgQIECAQJYEMrGGqLhe6KpFV7rydJbeWcZKgAABAgQyJJD6QNTe3h5zL7wwtr26Le6466445dRTMsRrqAQIECBAgEAWBFJ9yqy4ePqs6Wf0On57zRphKAvvKGMkQIAAAQIZFEjtJ0TFxdPF9ULFxdPF9UJjxozJIK8hEyBAgAABAlkQSN0nRP0XT3/g/POFoSy8i4yRAAECBAhkXCBVnxD1Xzx91dWLY87cuRnnNXwCBAgQIEAgCwKpCUSlxdNFNIuns/DWMUYCBAgQIJAfgVScMuu/ePqhh1daPJ2f95eZECBAgACBTAg0/BMii6cz8T4xSAIECBAgkGuBhn1CZPF0rt9XJkeAAAECBDIl0JBPiCyeztR7xGAJECBAgEDuBRIPRBZP5/49ZYIECBAgQCBzAomeMrN4OnPvDwMmQIAAAQJNIZDYJ0QWTzfF+8kkCRAgQIBAJgXq/gmRxdOZfF8YNAECBAgQaCqBun5CZPF0U72XTJYAAQIECGRWoG6ByOLpzL4nDJwAAQIECDSdQF1OmVk83XTvIxMmQIAAAQKZFqj5J0QWT2f6/WDwBAgQIECgKQVq9gmRxdNN+f4xaQIECBAgkAuBmnxCZPF0Lt4LJkGAAAECBJpWoOpAZPF00753TJwAAQIECORGoKpTZhZP5+Z9YCIECBAgQKCpBUb8CZHF0039vjF5AgQIECCQK4GKPyGyeDpX9TcZAgQIECBAoCBQ0SdEFk97zxAgkAWB7rVXxpGzV8b2IQd7dFy17sGYM37Urj2HOnb0zBXx7JIpsfuIXYd6QIBAhgVes6PwM5zxF8PQOWfP7N31E5+8Pk459ZThHJbqfdrGjU/1+EqD69jUWXroNwECwxbYGu2PPRQP378sHtn4mz2PGnVEnPO5T8cnThgfLXu+0vesJ7rWfzo+eM6d8Vx3cdP+cfjMxXHd4hkxaWz5I8o2YyMBAokIFP+eV/u3ctifEI3Zf0wccMABcffnl8WEiRMSmWC9O6kWr9z4alGUcu3aRoBApQIHxaQz58ekaSfF2y/+YFz+nc27G3jLaTF30DBU3K0lxh757njn65fFc796yxDhaXezHhEgkF2BYa8ham1tjTVPPZWbMJTdkhk5AQIVCbS0xRl3fzGWnnjI7sOeXxtPduzrhFrhE6LvPRZf2/z6OOHmT+3jk6TdTXpEgEC2BYYdiLI9TaMnQKCpBYqhaMlHY0Zr38qf7mfi1su/FB095VV6Oh+LRYu/GQdfvCRuPrNtkNNq5Y+1lQCBbAoIRNmsm1ETIFCpwNipsejGs6K177juDXfElSteiL0yUdeP4raPXB/f/ZMPxW2XvSPGVtqP/QkQyKSAQJTJshk0AQKVCxTWBU29JK6feVjfob+J9iUfj/v2OHX2Sqy78apY9uvT4u4Vs6PN+unKmR1BIKMCAlFGC2fYBAiMRODgmLL46kFOnW2Pjns/HBevOjDm3bUwpvg22UiAHUMgswICUWZLZ+AECIxIoOyps5/G1vV3xcIlP423XXFjLDzqoBE17SACBLIrMOzrEGV3ismO3Nfuk/XWG4GRCRROjV0xI+as/MXOw0cdHK1jC9cqmvLZ+MaSE6wbGhmqowg0TKAWf3t9QtSw8umYAIHGCQw8dfZKbOk6NhZeOVUYalxR9EygoQICUUP5dU6AQMMEBpw6i8JX8b/81Zf2/tZZwwaoYwIEkhQQiJLU1hcBAikS6I6ubf1v6VHuW2cpGq6hECBQVwGBqK68GidAIK0CPR1fissWfS/++OIPx/RhXrAxrXMxLgIEqhcQiKo31AIBAlkT6FoTV8/6VPzrlGvi1ss+HNcM54KNWZuj8RIgUJGAQFQRl50JEMi8QM8LsXz2wngkpsf1S86McS3DuWBj5mdtAgQIDCEgEA0B5GUCBPIksDXW37o4bn3urXHVgx/td/HFgd862/e9zvIkYi4ECOwUEIi8EwgQaBKBwh3s194WH7771Zi27LMxp230nvMe8K2zQe91tudRnhEgkBMBgSgnhTQNAgT2LdDTsSLmzHu8cAf7m2LR1IPL7OzUWRkUmwg0jYBA1DSlNlECzSvQ07ky5s9aGv90+IIh7mC/96mzm2Z9ItZ19TQvnpkTaBIBgahJCm2aBJpToHCarP3euOjca2LNlvEx+9pZQ9/BvnDq7PLL3x2jSmBbvhIXf+DTsV4oKon4TSCXAgJRLstqUgSaXaAYhFbHsivOiGOm3xhrt3QXQH4bP//5vw59JeqeTfG9bz8fxSNKP90b74xZH1gcy9d2Dn186SC/CRDIlICbu9a4XLW4wVyNh6Q5Ak0m8GIsf+/pcdPG7YPMuzVmrPhm3Dx17IDXu2PTvbPi+Bt+PGD7gKejZ8by526JKbs+QhrwuqcECCQuUIu/vQJRjctWi6LUeEiaI0CAAAECuRaoxd9ep8xy/RYxOQIECBAgQGA4AgLRcJTsQ4AAAQIECORaQCDKdXlNjgABAgQIEBiOgEA0HCX7ECBAgAABArkWEIhyXV6TI0CAAAECBIYjIBANR8k+BAgQIECAQK4FBKJcl9fkCBAgQIAAgeEI7DecnexDgED2BYrX6fBDoFqBjk2d1TbheAKpFBCIUlkWgyJQHwF/zOrj2iytCtXNUunmnKdTZs1Zd7MmQIAAAQIE+gkIRP0wPCRAgAABAgSaU0Agas66mzUBAgQIECDQT0Ag6ofhIQECBAgQINCcAgJRc9bdrAkQIECAAIF+AgJRPwwPCRAgQIAAgeYUEIias+5mTYAAAQIECPQTEIj6YXhIgAABAgQINKeAQNScdTdrAgQIECBAoJ+AQNQPw0MCBAgQIECgOQUEouasu1kTIECAAAEC/QQEon4YHhIgQIAAAQLNKSAQNWfdzZoAAQIECBDoJyAQ9cPwkAABAgQIEGhOAYGoOetu1gQIECBAgEA/AYGoH4aHBAgQIECAQHMKCETNWXezJkCAAAECBPoJCET9MDwkQIAAAQIEmlNgv+actlmnVaBt3Pi0Ds24CBAoCPg3Wr+3Qcemzvo1ruUhBQSiIYnskLSA/yjUR9wfsvq4Nlur/n3Wp+L+fdbHtZJWnTKrRMu+BAgQIECAQC4FBKJcltWkCBAgQIAAgUoEBKJKtOxLgAABAgQI5FJAIMplWU2KAAECBAgQqERAIKpEy74ECBAgQIBALgUEolyW1aQIECBAgACBSgQEokq07EuAAAECBAjkUkAgymVZTYoAAQIECBCoREAgqkTLvgQIECBAgEAuBQSiXJbVpAgQIECAAIFKBASiSrTsS4AAAQIECORSQCDKZVlNigABAgQIEKhEQCCqRMu+BAgQIECAQC4FBKJcltWkCBAgQIAAgUoEBKJKtOxLgAABAgQI5FJAIMplWU2KAAECBAgQqERAIKpEy74ECBAgQIBALgUEolyW1aQIECBAgACBSgT2q2Rn+xIgkG2BtnHjsz0BoydAgECdBASiOsFqlkDaBDo2daZtSMZDgACB1Ag4ZZaaUhgIAQIECBAg0CgBgahR8volQIAAAQIEUiMgEKWmFAZCgAABAgQINEpAIGqUvH4JECBAgACB1AgIRKkphYEQIECAAAECjRIQiBolr18CBAgQIEAgNQICUWpKYSAECBAgQIBAowQEokbJ65cAAQIECBBIjYBAlJpSGAgBAgQIECDQKAGBqFHy+iVAgAABAgRSIyAQpaYUBkKAAAECBAg0SkAgapS8fgkQIECAAIHUCAhEqSmFgRAgQIAAAQKNEhCIGiWvXwIECBAgQCA1AgJRakphIAQIECBAgECjBASiRsnrlwABAgQIEEiNgECUmlIYCAECBAgQINAogf0a1XGe+20bNz7P0zM3AgQIECCQOwGBqMYl7djUWeMWm6s5YbK56m22BAjsFvDfv90WjXgkEDVCXZ8ECBAgQGCAgP9DPQAk4afWECUMrjsCBAgQIEAgfQICUfpqYkQECBAgQIBAwgICUcLguiNAgAABAgTSJyAQpa8mRkSAAAECBAgkLCAQJQyuOwIECBAgQCB9AgJR+mpiRAQIECBAgEDCAgJRwuC6I0CAAAECBNInIBClryZGRIAAAQIECCQsIBAlDK47AgQIECBAIH0CAlH6amJEBAgQIECAQMICAlHC4LojQIAAAQIE0icgEKWvJkZEgAABAgQIJCwgECUMrjsCBAgQIEAgfQICUfpqYkQECBAgQIBAwgICUcLguiNAgAABAgTSJyAQpa8mRkSAAAECBAgkLCAQJQyuOwIECBAgQCB9Avulb0hGRIBAPQTaxo2vR7PabDKBjk2dTTZj020WAYGoWSptngQKAv6YeRtUIyBUV6Pn2LQLOGWW9goZHwECBAgQIFB3AYGo7sQ6IECAAAECBNIuIBClvULGR4AAAQIECNRdQCCqO7EOCBAgQIAAgbQLCERpr5DxESBAgAABAnUXEIjqTqwDAgQIECBAIO0CAlHaK2R8BAgQIECAQN0FBKK6E+uAAAECBAgQSLuAQJT2ChkfAQIECBAgUHcBgajuxDogQIAAAQIE0i4gEKW9QsZHgAABAgQI1F1AIKo7sQ4IECBAgACBtAsIRGmvkPERIECAAAECdRcQiOpOrAMCBAgQIEAg7QICUdorZHwECBAgQIBA3QUEoroT64AAAQIECBBIu4BAlPYKGR8BAgQIECBQdwGBqO7EOiBAgAABAgTSLrBf2gdofM0n0DZufPNN2owJZETAv8+MFMowKxYQiComc0A9BTo2ddaz+aZu2x+ypi5/zSbv32jNKDWUMgGnzFJWEMMhQIAAAQIEkhcQiJI31yMBAgQIECCQMgGBKGUFMRwCBAgQIEAgeQGBKHlzPRIgQIAAAQIpExCIUlYQwyFAgAABAgSSFxCIkjfXIwECBAgQIJAyAYEoZQUxHAIECBAgQCB5AYEoeXM9EiBAgAABAikTEIhSVhDDIUCAAAECBJIXEIiSN9cjAQIECBAgkDIBgShlBTEcAgQIECBAIHkBgSh5cz0SIECAAAECKRMQiFJWEMMhQIAAAQIEkhcQiJI31yMBAgQIECCQMgGBKGUFMRwCBAgQIEAgeQGBKHlzPRIgQIAAAQIpExCIUlYQwyFAgAABAgSSFxCIkjfXIwECBAgQIJAygf1SNh7DIUCgjgJt48bXsXVNEyBAILsCr9lR+Mnu8I2cAAECBAgQIFC9gFNm1RtqgQABAgQIEMi4gECU8QIaPgECBAgQIFC9gEBUvaEWCBAgQIAAgYwLCEQZL6DhEyBAgAABAtULCETVG2qBAAECBAgQyLiAQJTxAho+AQIECBAgUL2AQFS9oRYIECBAgACBjAsIRBkvoOETIECAAAEC1QsIRNUbaoEAAQIECBDIuIBAlPECGj4BAgQIECBQvYBAVL2hFggQIECAAIGMCwhEGS+g4RMgQIAAAQLVCwhE1RtqgQABAgQIEMi4wH4ZH7/hEyBAoIxAV6y74uSYs3JLmdf6bRo9M5Y/d0tMGdVvW+/DF2P5e0+PmzZuH/jCzueDHld+d1sJEEi/wGt2FH7SP0wjJECAQKUCPdHV/rW4587bY9lTm/sdPCpaj7887rxtdkwa29Jv+94PezpXxvxzr4k1W7p7Xxx1xMy47G8vigumjo99H7l3W7YQIJBuAafM0l0foyNAYMQCLTF20hlxxT1fjKUnHtKvlYPi2FkzhgxDxQNaxp8W86aPLzwqhKgTb4lvrbol5ghD/Sw9JJAfAYEoP7U0EwIEygm0tMUZS5bEvCP273t1S6y+85Ho6Cm384BtPc/Hmq93xqjJl8cDd8+McT4WGgDkKYH8CAhE+amlmRAgMJjA2HfEwtsXxKS+tULdG+6IK1e8EPvORNujY8WtseJXR8VlS98fbcLQYLq2E8iFgECUizKaBAECQwm0tE2L+dMP69vtN9G+5ONxX8cgi6YLe/V0fCmuXPLTeNsV18UFbaOHat7rBAhkXEAgyngBDZ8AgeEKHBxTFl8dM1pLHxOtj/uWPR1dZQ9/Jb6/7MFoP+i0mD9jogXUZY1sJJAvAYEoX/U0GwIE9iUwdmosuvGsaO3dpzu2rLwhbl77yoAjCt9OW3t7XLMyYsaNl8SUIb6JNuBgTwkQyKiAQJTRwhk2AQIjESh882zqJXH9zNKps1/EI4tvj3Vd/VYTda2Nmxeviph5dSyaevBIOnEMAQIZFBCIMlg0QyZAoBqBAafOtjwa19y4tu/UWWEh9SMrYvXWY2PhlVNjbDXdOJYAgUwJCESZKpfBEiBQE4FBTp3tXkh9aZx+kK+V1cRaIwQyIuBK1RkplGESIFBrgVcKt/eYUbi9xy92Ntx6TEx93U/j6f0WxDcemetr9rXm1h6BlAsIRCkvkOERIFBHga41seik+fFI3605It4Y81atiismvbaOnWqaAIE0CjhllsaqGBMBAskIjD025l54VOHGHH0/R5wVM4WhkobfBJpKQCBqqnKbLAECewqMjkPbDnWdoT1RPCPQlAICUVOW3aQJECBAgACB/gICUX8NjwkQIECAAIGmFBCImrLsJk2AAAECBAj0FxCI+mt4TIAAAQIECDSlgEDUlGU3aQIECBAgQKC/gEDUX8NjAgSaTKA7/qWjM7aXZv3qq7Gt323NSpv9JkAg/wICUf5rbIYECJQVKNzVvv2LccMXnt396ubH43Mr1vfd12z3Zo8IEMi/gCtV57/GZkiAwB4CXYVbdpxcuGXHlj227vVk9MxY/twtMWXXVRv32sMGAgRyJCAQ5aiYpkKAAAECBAiMTMAps5G5OYoAAQIECBDIkYBAlKNimgoBAgQIECAwMgGBaGRujiJAgAABAgRyJCAQ5aiYpkKAAAECBAiMTEAgGpmbowgQIECAAIEcCQhEOSqmqRAgQIAAAQIjExCIRubmKAIECBAgQCBHAgJRjoppKgQIECBAgMDIBP4/muG53rn966QAAAAASUVORK5CYII=" alt></p>
<p>The resistance of R is adjusted until the currents in X and Y are equal.</p>
<p>(i) Using the graph, calculate the resistance of the parallel combination of X and Y.</p>
<p>(ii) Using your answer to (e)(i), determine the resistance of R.</p>
<p>(iii) Determine the power delivered by the cell to the circuit.</p>
<div class="marks">[8]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about alternative energy supplies.</p>
<p>A small island community requires a peak power of 850 kW. Two systems are available for supplying the energy: using wind power or photovoltaic cells.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Outline, with reference to the energy conversions in the machine, the main features of a conventional horizontal-axis wind generator.</p>
<p style="text-align: left;">(ii) The mean wind speed on the island is 8.0 ms<sup>–1</sup>. Show that the maximum power available from a wind generator of blade length 45 m is approximately 2 MW.<br> Density of air = 1.2 kg m<sup>-3</sup></p>
<p style="text-align: left;">(iii) The efficiency of the generator is 24%. Deduce the number of these generators that would be required to provide the islanders with enough power to meet their energy requirements.</p>
<p style="text-align: left;"> </p>
<p style="text-align: left;"> </p>
<p style="text-align: left;"> </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>The graph below shows how the wind speed varies with height above the land and above the sea.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABI0AAAH1CAYAAAB7gQ4/AAAgAElEQVR4AezdDXhU5Z3//89m+dP80sgSBRvSn0hCIFUDSJQCwipiYAWqxLCguIqhgvWpgWCRbgV50t8WqCIoSgULRCoUSgiCoBAQuKhIowEhlMbwJKyQCppsSHOxbnb8X2cyczIzmZlMyMxkHt5cl1fu+zzc9/d+nTn7+51v73Off/juu+++E/8QQAABBBBAAAEEEEAAAQQQQAABBBBwEIhxKFNEAAEEEEAAAQQQQAABBBBAAAEEEEDAKkDSiB8CAggggAACCCCAAAIIIIAAAggggEAjAZJGjUjYgAACCCCAAAIIIIAAAggggAACCCBA0ojfAAIIIIAAAggggAACCCCAAAIIIIBAIwGSRo1I2IAAAggggAACCCCAAAIIIIAAAgggQNKI3wACCCCAAAIIIIAAAggggAACCCCAQCMBkkaNSNiAAAIIIIAAAggggAACCCCAAAIIIEDSiN8AAggggAACCCCAAAIIIIAAAggggEAjAZJGjUjYgAACCCCAAAIIIIAAAggggAACCCBA0ojfAAIIIIAAAggggAACCCCAAAIIIIBAIwGSRo1I2IAAAggggAACCCCAAAIIIIAAAgggQNKI3wACCCCAAAIIIIAAAggggAACCCCAQCMBkkaNSNiAAAIIIIAAAggggAACCCCAAAIIIEDSiN8AAggggAACCCCAAAIIIIAAAggggEAjAZJGjUjYgAACCCCAAAIIIIAAAggggAACCCBA0ojfAAIIIIAAAggggAACCCCAAAIIIIBAIwGSRo1I2IAAAggggAACCCCAAAIIIIAAAgggQNKI3wACCCCAAAIIIIAAAggggAACCCCAQCMBkkaNSNiAAAIIIIAAAggggAACCCCAAAIIIEDSiN8AAggggAACCCCAAAIIIIAAAggggEAjAZJGjUjYgAACCCCAAAIIIIAAAggggAACCCBA0ojfAAIIIIAAAggggAACCLSiQLXKdxdq1fSRSu29UCV1rRiKX7t2GNeEQlX4tW0aQwABBIIj0CY43dALAggggAACCCCAAAIIINAgYKko0daP9ujd6Yu1q9a2PWFQwwFhWrKO6/0CvTHr9yqzjyHTXuAvAgggEF4CzDQKr+tFtAgggAACCCCAAAIIRIDARe197VUdqPrfCBiLwxAsZXr7qWU6bnHYRhEBBBAIYwFmGoXxxSN0BBBAAAEEEEAAAQTCU6CDBr2wQoNkUXXKJQ3MyZd9slF4jscWdUyaHtnwhiSLfpryj5EzrrC+KASPAAItEWCmUUv0OBcBBBBAAAEEEEAAAQRaIBCjdj/qrX4taCE0T41RXLv2ahuawREVAggg4LMASSOfqTgQAQQQQAABBBBAAAEEEPBNoE1SsjJ8O5SjEEAAgZAVIGkUspeGwBBAAAEEEEAAAQQQQAABBBBAAIHWEyBp1Hr29IwAAggggAACCCCAAAIIIIAAAgiErABJo5C9NASGAAIIIIAAAggggAACCCCAAAIItJ4ASaPWs6dnBBBAAAEEEEAAAQQQ8FngW1WUvK9NK6drRJdkpZr/9ddjC/+gLSUV8v6l+/rzNy6cqJ69F6qkztaxpUIlm3+nGcNusrU5UjPeLlaF98bqT7ae+we9MqG/GU/PCQu1qclYfB40ByIQGAHjt1u4UI/daL+XjPtovXaXV0uWMq2auVkVHnu2qKZ8rzYVOJ6frNQbJ+qVgvdVUvGtxzOllt7HXppmV0AESBoFhJVGEUAAAQQQQAABBBBAwG8Clgp9svgpDc1+QjP2/Ugvl57Q8dOn9PnH6zTroWu1a9EvNTn7Pj2+8qhqXDutKddu68NtmgZmP6Gpi4pUazvGUrFTs0bcpTE/n6s1x+xbD2vNjBw9uqi4cVtm28ZDc6FmGOe+fkQdntyoz0+f0vHTn2nD2DZ676H79Phre/SleTwFBEJIoOaoVj12n3K2/B89tqvMei8dP71Hc+74H+3M7a/UlLs198v/9RBwtcpWPqVB8z6VuozV0r8Yv/sy7St4UWOv/0ivTXlCYwY/pVeL3SRxW3Ife4iGzYEXIGkUeGN6QAABBBBAAAEEEEAAgSsW+Fbn3p2nn75cpNq4cVr88oNKi69/jIlJ7KOHns3T2Dij8QrtmvUf2lB+2aGni9r961/onRP2hJB91/+qumy1Hv/Zh0qeVqhD1oRPmfatn6bB1rZqVbZokUtb9nMly7l39ezIPK3R41q3fo4eykhUfUTt1O2un2tp0TS1KShUWcMplBAIEYEqlSx7XnM/GqrFLz+mWxPb2uJqq8SMBzX7rRc11HoPuAu3SiULx2v0vgH6/SuTNNL83dvOXbFYD90QJ9UWadHop7S4pMqhkZbcxw7NUAy6AEmjoJPTIQIIIIAAAggggAACCPgsYDmlHSu2188O+l57tYtzeYRpl667sjvbmjur4186zjXqoEEvbNKbU5/T0k0z1cPeaeUS5S6Unvn9HD0yqJvirdvbKrFPjqY+O8B21EEV/umLxq+8Wc5o89x52l6boadffFgZtgSWvWnjb0zS3coz23HcQxmBVhaoPqSNy0okd/eS19+uRTUlb2vGIumnT/7ETNw6jiYmcYD+7f7etk0lem12ocrtr3m26D527IVysAVc/i9usLunPwQQQAABBBBAAAEEEEDAi4Dl76o84zpTyPH4WLW75vu2DZf0tyrHmUYNx8Vc1V4d7VWXGUv2zVKsknveovbWDbU6cfy8yytqxmyJhZqxrULqdY9G3Fx/ZMP59pJjO/Zt/EUgBARqq/Q343aq3Ke9hx1nAtlji1W37Aka+//Z67a/lnJtmL1UZQkDdXtPT7/7Nrqq/dUNJ35Wor98ZVs8zE/3cUPjlIIlQNIoWNL0gwACCCCAAAIIIIAAAs0XaJOqYZPuVpwSNXjSUHVv0/wmrGd06KwbE2znephl4dpybUWVuf6RdZ/DbIn2g3oq2cvTVMxVCbrOtUHqCLS2QFx7/cD6+lmJXntoqvu1h+I7KfXaf3SK1HJivwo/q5UqF2tMqn3xbNe/3TRw8maH847r1DlbEtdf97FD6xSDI3Cl/yc3ONHRCwIIIIAAAggggAACCES5QDul5byhwzmuDMZXmHZp/54NmrnomOvOgNTNB2clKCP5Wnl7mHKa2RSQaGgUgSsQiE/RrXckao0xW8669lCRlmXmau6TY3WPfY2imDQ9MjvNofE6fXW0REeMLQm5WlecpwxvP36HMxuKoXMfN8REyRcBL7lxX07nGAQQQAABBBBAAAEEEEAgiALWz9z/TjOG9dbQ149JvZ/Q4kk3BCEAhwfnIPRGFwgERCCms+6Z+UL9gtW2DmqLFuuZ7P7qPmy6Vu0ud3kl0zioTpeqvvFvOK12H/t3GNHQGkmjaLjKjBEBBBBAAAEEEEAAgbAXqFb5zlf1WHp/5Wz6u+5cvF+Hl+fpvkHd1S4oY7usc6eOB6UnOkEgkAIxiXdp1vpCvTkpU04fSjv2e83NGarbJizVJxXfOoRQp0uVtqRR5SmdvWhbp8jhCN+LrX0f+x4pR9YLkDTil4AAAggggAACCCCAAAIhLWCp2K9XJ/yLhj36jvTsFn20/Oca3C04qSL3MJUqOfWVWvLo7L5dtiIQJIH4bhqc91t9tGOFZjzU06nT2qJ5emD8Au12ShzZD/lMn/zV3QLa9v2e/4befew5VvY0CJA0arCghAACCCCAAAIIIIAAAqEmUHNUb0+fokVFFYobNk2zxt2k+FaJsY2uSmj4MlTV0TO62Cpx0CkC/hKIUXy3QXrkhY06tONNPZ2Z2NDwseXKfe0jVVu3xCopOdW274w2/WGfzlkaDvVUspTv0JZy20LYIXMfe4qW7Z4ESBp5kmE7Am4FqlW+u1Crpo9Uau+FKvHL/7xkLOL4vjYVGu/m36TULsZXCDL0WOF/uo2gYaNFNeV7tXHhRPW0npOs1Bsn6pXCElX48H/EG9qhhAACCCCAAAIIhKqARdWfrNNLRRXGCrzq9y+3KqnVnmDa6gdduja8zvPRQf212sf/T9eFKl3y8dBQvRLEFSECFZs1a2WZnH+ORvJoiCYv/0DvzTK+VFj/r/a9gzpufd5po2tvylAP+/Zt8/TCu2dc2nD1qdKhbScU/4O2kkLpPnaNk3pTAq32f3KbCoz9CISOgJEo2mxLzvTSsJw8zV192A/hGcmid6yLOA7MfkLP/Gq/rpn4ol5auV2HTpfozaz/66WPapUXztb9Q57Q8q9HaEPpCR0/fUKHNo2RtjylgSNe9DCd1EuT7EIAAQQQQAABBEJOoFbHDxY7f/a+1WKMUbuMOzXSfKL+oxa89ambRYPdBHimkqSRGxY2tYbA/+rcxv064Zw1sgXSTmnj/l1zhznMOLLtienaX1m97D/+Cm2f/HPN2X3OQ+LIopqyLVr+9Y+U0c5IOYTSfdwa5uHdJ0mj8L5+RB9wgTpVFL6q/NP/o5jkTP3UccpmS/quKdOm6aM1MPs5rTmWqrFz12lf6TJNzs7SyEHdmphyXa2yldM0anK+zg57UcvmZKlbvHEr1/8vBLlzpmnoF8s1weN7yC0JnHMRQAABBBBAAIHWEqjUx58ct70u0xCDpeKI/nS00rbhv3Wh6u8eHmQbzrniUrt+GvfsANvptSpb9IJ+4+7B2XJOu99YoV32jv67StW1bp/S7UfwF4HgCXy2We8d8rAuUczVuq57Qn0snRN0lT1jEJOsIeOHmrOQpMNanTNKjy8sVInj2kc15dpdsEhT7tuo7iNvdrNIfQjcx8GTjoie7D+BiBgMg0DA/wJtlJj1nObmZGtk1v16+skxat/CTqwLwE3O0TPGbKW4uzXjg7c19+E+SvTpbrSopmSVpsx6X7UaoGem3N1oinZM0t3KM/4/M8Z7yLO3+vS+cQuHxOkIIIAAAggggMAVC1guVemCx7PjlNq7j/mgWrv63/WLxfvrX8U3PtlduFCP/2yT/jfxWlsLtTpx/Lxq9K0qildr1V6HVYcuntFfzNySj0mcRq+Vxarbv/67Zpj/Q6L9wXmHymvqk0KWimKtfv5ZrWv/Y91uH1dtvibc/7xWLHxCoxu9GmQ/iL8IBEugRK89t8T9mwmWb3T2c+NG6ayxeT9RN/MZpa2S7p2qxY84LppdoV2L8jSmX5ptiY1kpaYP1YQpy/Xl6Cf1wM32Jyc/3sfBIqIfU8D8CZhbKCCAgEeBNknJyvC4t+kdloqdmjN+gnUhR2vCaOM8PZLWjC9/WMq1YfZSlRld9crUbV1j3XQaq64DMq3vHNf69L6xmybYhAACCCCAAAIIBEPAck57V2/UEXtfleu0dPVRh1e+YtTu9kcdXpep0K6XH9TAlGSlptylGZ8ka+rvX9BPM292SCyNV0aXO/T80d4adXsHW8vVKnv/A31s76d2u94pOObQj22H5Zz2bdotcw7GZxv1+70ur+DE36RHXlnukDgyHpwf07D0rtYH5+79crTmmkmaP/YmtbH3Z/sbkzpRr45LEw9hLjBUgy9wbLkmDH7KeT3UmnLtWjRXM7Zdq7GvvKlpg+z3j/0HnKRBM3+rtVMyzfutceBxSntksd6aeZfD/yjur/u4cW9sCbwA//cq8Mb0gEC9QE2xFo/P1epjtZIy9PTq/2hewshYQG7vO3rpM+P8OPW4r7+6eriDY5J76g7rrNIKbV+xy8M7y1wYBBBAAAEEEECgtQRqVLJwuFJTBmjCKse1Iiu0a9ZPdHOX4XqlpKY+uJjOGrkgX29OcnhQveHfNGNlof7wgvGafhu1u3WMnrHN/onLzNVLBRu1NMf4ypqx1ECuUrv00gjrTG37eO392D8+4ikeYybRAHV3jMdowkgcLf9A21bOd/rilNH3AiOuvD625QYSNXjSfC3f8ZmOb3tBj9yT4fAgbY+FvwgEU+AflTTrfX1+cr/WzRuh60+9oaFGEtb4sE76OK3VUC3e8bbmZqW5XzIjJlG35i7R9oI3tMDxnlSc0h6aoVcKdmrzbMeEkW1sLbqPg+lDX64C//Ddd99957qROgIIeBCoKNRj/fLq309PyNW64jxluP5PSG5PrVLJwkc1ZlGJNeGTNmmlw/9nwu0JbjZe1O7pozRh9Zn66aIrN2iua/bfPKs5x5onUUAAAQQQQAABBBBAAAEEEEDAFPAwT8HcTwEBBFosYKxD9LZmWBNGRs7oXzX10VvcZ+699VVdqp0FRsLI+HedUn8Ybyu7+xOrdtd837bjokpPfx24BSHddc82BBBAAAEEEEAAAQQQQACBsBcgaRT2l5ABhLyA4zpExmtlzz6o262fnmxe5HXHD2qb8Waa9d/Van+VtylOsUpKTrUdW6sj+47pK1uNPwgggAACCCCAAAIIIIAAAgj4IkDSyBcljkHgigUc1yEyGumtrAHXX8Hih3W6eOZUw6KMCcm6roO3pJFLwJ+e0rk6l21UEUAAAQQQQAABBBBAAAEEEPAiQNLICw67EGi5wDcqKdotc4KQ8cWzH5zV7sICrZo+suHTlF2S1XPCQm3cXd74Kx7WIOp0qeqbZoTTRh06J8v+kUtVntLZi2SNmgHIoQgggAACCCCAAAIIIIBA1AuQNIr6nwAAARVwWodI0mezNWrKFlW276FRL2zS8dMndGjHCs14qKdqixZrak6W7p9eqPIai0tYdbpU6ZA06pygq7h7XYyoIoAAAggggAACCCCAAAII+FOgGe+3+LNb2kIgOgQsfzutUnOaUaIGz1qul62ff7WPP0bx3QbpkTkpav/1/XpmW4XKVj+nyf94ld6a6eZTlfbTOrYnaWS34C8CCCCAAAIIIIAAAggggEBABEgaBYSVRhGoF7BcqtRZE6OrBgzo6v6raTGddc+MafpgT56219aqbNXrWjvyFk3OMF8wM1vxrWBRbXWVvvXtYOtRd9452O3RZ0+dsm6/LjnZ7X42IoAAAggggAACCCCAAAIIBEbgww93BaZhH1vlBRcfoTgMgeYLuCxeLe9fPItJGqgx2Z1t3ZTodwWHVO2p0wtVuuT6BpvTsRbVVlU2rKUUl6B/iuN2dyKiggACCCCAAAIIIIAAAggg4FWAmUZeediJgB8Fmvzi2dXKyBykuNX51mRP7XsHdXzWIGVY79JYJSWnSjpWH9CZyvqkka95oO+1V7smkkaeMtipXepnGHna70ehFjdlny1FrC2mbNQAto1I/LIhnFyNAYdTvMTql59oo0bCyZXfbKPL57cN/A78RtmooXCyDadYDehwipdYG90aftsQjrZ+G/wVNuTrI+cVNs9pCESzQIzi2icozmeCGMX/MFld3R7v8jU0t8c4bnT52totyUoiRewIRBkBBBBAAAEEEEAAAQQQQKAJAZJGTQCxG4ErF3BJAvnw2fuYq9qro4cO26T21jB7BqrJthy/thanHgNv0LUe2mUzAggggAACCCCAAAIIIIAAAu4ESBq5U2EbAn4SiPlBF6XbEz36RlWX6nxvuXOC8xfS2qXrLnPNo+M6de6yl7aqdPZohW1/b2UNuF7c7F642IUAAggggAACCCCAAAIIINBIgOfIRiRsQMCPAk6JnoMq/NMX8rp+tdl1nHrc119dne5Q25pH1mO+0J7DX3puq/q4Pvmosr61Xpm6rWus2TIFBBBAAAEEEEAAAQQQQAABBHwRcHok9eUEjkEAgeYIdNDtj4xXD+sptTqycb9OeMka1Z07pRLrse5mB8Wo3e0P6plextSlWh3Zd0xfeQjF8rfTKq01diZq6PjBLsknDyexGQEEEEAAAQQQQAABBBBAAAEHAZJGDhgUEQiEQEy3LM2YlFHf9Geb9d6hKg/dVOnwnn2qUpzSJk3SqG5uZgfFdNOomY8rzWih6I/6oNzdK2pVOrRls45Iihs2TdPv7cyraR7E2YwAAggggAACCCCAAAIIIOBZgKSRZxv2IOAngfbKmLRQLw1LlFSi1557WyU1rtONLKopeVszFpUoLvPf9fLEWxTvtvcYxWc8rLnWJNRBrdtyRDVOx1lUU7ZFS5eVSDdM0OKZw5XEXe4kRAUBBBBAAAEEEEAAAQQQQMA3AR4nfXPiKAQkS4U+WfeePrZbVO7Wxi1lLkkb+06XvzGdNXLBSr30UE/p2MvKmbxEu8qr6w+yVKikcJGmPLRUemihNrzyoNLivd2aRhJqidZOuU1nF+VqyuL9qrDmoKpVvnOJptw3Qx/fNk1rV0zVoMS2LoFQRQABBBBAAAEEEEAAAQQQQMA3gTa+HcZRCESxQEWhHuuXp12NCA5rzeS7tWaypIRcrSvOU4a3Oyo+TSNfeFs3Zn6g91a/rMeGvGxrMVGDJ03Wvat3anhGom+vksUk6tbcJdo+sEgfFPxaA1MOW9uKy8zV7Ne36+VB3TzMVGo0CDYggAACCCCAAAIIIIAAAggg4FbA2yOu2xPYiEDUCSRm6c3TWX4adjt1GzRak43/WtxiWyVmDNcjxn8vtLgxGkAAAQQQQAABBBBAAAEEEEDAScDbOzBOB1JBAAEEEEAAAQQQQAABBBBAAAEEEIgeAZJG0XOtGSkCCCCAAAIIIIAAAggggAACCCDgswCvp/lMxYEIIIAAAggggAACCCAQ6gKvvvqajh4t1V133aXMzMxQD5f4EEAAgZAWIGkU0peH4BBAAAEEEEAAAQQQQMBXgcuXL6ugoMB6eFnZ57r22mt9PZXjEEAAAQTcCPB6mhsUNiGAAAIIIIAAAggggED4CRw5csQp6J49ezrVqSCAAAIINE+ApFHzvDgaAQQQQAABBBBAAAEEQlTg448PmJH17ftjJSQkmHUKCCCAAALNFyBp1HwzzkAAAQQQQAABBBBAAIEQE3B8Nc0IbdiwYSEWIeEggAAC4SdA0ij8rhkRI4AAAggggAACCCCAgIvAgQMNs4yMXbya5gJEFYEACmzdulWVlZUB7IGmW0uApFFrydMvAggggAACCCCAAAII+E1g27ZtZlu8mmZSUEAgKAILFvxG+/fvD0pfdBJcAZJGwfWmNwQQQAABBBBAAAEEEPCzgDHD4cCBP5ut8mqaSUEBgYAJuM4s6ty5c8D6ouHWEyBp1Hr29IwAAggggAACCCCAAAJ+EDh8+LBTK7ya5sRBBYGACHz55ZdO7aampjrVqUSGAEmjyLiOjAIBBBBAAAEEEEAAgagV4NW0qL30DLwVBY4dO2b2npbWXbGxsWadQuQIkDSKnGvJSBBAAAEEEEAAAQQQiDoBXk2LukvOgENEoLy83IzkppvSzTKFyBIgaRRZ15PRIIAAAggggAACCCAQVQKui+/yalpUXX4G24oCO3YUmb337NnDLFOILAGSRpF1PRkNAggggAACCCCAAAJRJfDuu++a483OzlZCQoJZp4AAAoEROHnypFPD1113nVOdSuQIkDSKnGvJSBBAAAEEEEAAAQQQiCqB8+fPq6zsc3PM/fr1NcsUEEAgcAJnz551ajwlJcWpTiVyBEgaRc61ZCQIIIAAAggggAACCESVwL59+5zG26MHr8g4gVBBIEAChw8fCVDLNBtqAiSNQu2KEA8CCCCAAAIIIIAAAgj4JLB+/XrzuHHjxvH1JlODAgKBFTh6tDSwHdB6yAiQNAqZS0Eg4SFQrfLdhVo1faRSey9USZ0/ov5W5wrz1LNLcjPbtKimfK82LpxYf65x/o0T9UphiSos/oiLNhBAAAEEEEAAgdAVKC0t1YULF80A+/S51SxTQACBwAkYXyx0fC00cD3RcigIkDQKhatADCEuYCSKNtuSM700LCdPc1cf9lvMlnNb9cKvClXbrBarVV44W/cPeULLvx6hDaUndPz0CR3aNEba8pQGjnhRuyu+bVaLHIwAAggggAACCISTQHHxJ2a4HTt2UHo6n/w2QSggEECBL7/8MoCt03SoCZA0CrUrQjwhJlCnisJXlX/6fxSTnKmfZib6Nz7LGW2eO0/bm5UxqlbZymkaNTlfZ4e9qGVzstQt3riVYxTfbYhy50zT0C+Wa8L4BSSO/Hu1aA0BBBBAAAEEQkTg8uXLys/PN6MZPXq0WaaAAAKBFTh27FhgO6D1kBIgaRRSl4NgQk+gjRKzntPcnGyNzLpfTz85Ru39FqRF1Xvf0oxtFc1o0aKaklWaMut91WqAnplyt5Jc7uKYpLuV9+wA6dhy5c7eqnO8qtYMXw5FAAEEEEAAgXAQOHLEeRHegQMHhkPYxIhARAh8+umnETEOBuGbgMvjpm8ncRQC0SrQJilZGf4afM2n+t28zer60P263dc2LeXaMHupyozje2Xqtq6xbs6MVdcBmTK+HVK7bZ5eePeMyBu5YWITAggggAACCIStwI4dO8zY09K6q1OnTmadAgIIBE7AmOV34MCfA9cBLYecAEmjkLskBBQdAlUqWfZrvabxmvHIj9XGp0EbM5Pe0UufGe+yxanHff3V1cMdHJPcU3ckGI1WaPuKXTpB1sgnYQ5CAAEEEEAAgdAXMBbh3bGjyAx07NixZpkCAggEVuDcuXOB7YDWQ07AwyNnyMVJQAhEkIDxitnbmrFIevrFh5Vxla+34TcqKdptWzC7g9K7XCOPZ7bprJtHdK43+2yF8vc2fFkkgiAZCgIIIIAAAghEocD+/fudRt2zZ0+nOhUEEAicwF//+lezcWMBev5FvoDHZ87IHzojRKCVBGo+1fLnVkiTfqkJGc1YIam6VDsLztiCvk6pP4z3MoBYtbvm+7b9F1V6+mteUfOixS4EEEAAAQQQCB+Bd9991ww2OztbCQnW6dXmNgoIIBA4gUOHDpmN//M/+7zIhnkOhfATIGkUfteMiMNaoOG1tLkTb5G3tI/rMOuOH9Q28ytrV6v9Vd5eaotVUnKqrYlaHdl3TF+5NkgdAQQQQAABBBAIM4HS0lKVlX1uRt2vX1+zTAEBBAIv4PhqaNeuKYHvkB5aXcDbU2erB0cACESWgMNraQUPKyO+OTnbOl08c0pVdiw1b5QAACAASURBVJCEZF3XoRm376endK5OSmzGKfau+IsAAggggAACCISKQHHxJ2Yoxqsxffr0MesUEEAgsAInT5506uBHP/qRU51KZAo056k1MgUYFQLBErjS19Ks8dXpUtU3zYi0jTp0Tpb58lvlKZ29WNeM8zkUAQQQQAABBBAILQHjq035+flmUMOGDTfLFBBAIPACjusZGb2lpDDTKPDqrd8D8w5a/xoQQVQINLyWtq6Zr6XV89TpUqVD0qhzgnxePzsqfBkkAggggAACCES6wIEDB5yGePfd/+JUp4IAAoEVcFzPaMiQzMB2RushI/AP33333XchEw2BIBDqAhWFeqxfnnYZcSbkal1xnjKaTL0ar6Ut0f3ZuzWk4C1Ndl382qc2a1SycIzGLDpWL5S5UPuWZynRi1ddyUL1y15se6XtHr308csa6eX9tDvvHOy2tbOnTlm3X5ec7HY/GxFAAAEEEEAAAQQQQAABBAIj8OGH1qfPwDTuQ6tNPu760AaHIICANwHztbTfNu9rad7abHKfRbXVVfq2yeM4AAEEEEAAAQQQQAABBBBAAAH3AiSN3LuwFQE/CbT0tTQPYVyo0iWLlOhxVTKLaqsqZX5sLS5B/xTn8WBrJ54y2Kld6mcYedrvIcJW2WyfLUWs/ufH1v+mRovh5Bpu8YaTLbEG5v7iNxtZritWrHRaz2jbtq2KjY31aZDcYz4xNfugcHI1BhdO8YZirFu3btWCBb8xfyf2//92KMZqBummEE7x2mN1M4ygbvL+FBnUUOgMgUgTcPha2ovN/Vqaq0WskpJTGzaeqbQmjRo2NFH6Xnu1ayJp1EQL7EYAAQQQQAABBFpFwFgA20gS2f+NGzfO54SR/Rz+IoBAywRYz6hlfuF8NjONwvnqEXtoC1jKtWH2CmmSP15La/gaWpVPo3b52totyUribvdJjoMQQAABBBBAILQEjhw5ogsXLppB3XHH7WaZAgIIBEdgx44is6Obb77ZLFOIfAEeIyP/GjPCVhKoO7RVr35WqarPxujmRT4GUblYY1IX2w6+QU8XrNPkjHhrvU1qbw2Lk9YY75xVntLZi3XK8LiwtePX1uLUY+ANutbHEDgMAQQQQAABBBAIJYENGzaY4aSldecz36YGBQSCI3Dy5Emnjn70ox851alEtgCvp0X29WV0kSTQLl13ZXe2jei4Tp277GV0VTp7tMK2v7eyBlwvbnYvXOxCAAEEEEAAgZAUOH/+vA4c+LMZ29ixY80yBQQQCI7AX//6V6eOUlJSnOpUIluAmUaRfX0ZXSsKtMnI0yen85qOoKJQj/XLk/VDigm5Wlecpwy3d+bVysgcpLjV+arVF9pz+EvlZqS5TwZVH9cnH1XW990rU7d19W2hyKaD5QgEEEAAAQQQQCB4Au+//4FTZ3379nWqU0EAgcALOK5nlJ2dHfgO6SGkBJh8EFKXg2AQ8CYQo3a3P6hnesVJqtWRfcf0lYfDLX87rVLrp9MSNXT8YHXlTvcgxWYEEEAAAQQQCFUBFsAO1StDXNEkYNyHjusZ9ezZI5qGz1gl95MUkEEAgRAViOmmUTMfV5oRXtEf9UG5u1fUqnRoy2YdkRQ3bJqm39uZGz1ELydhIYAAAggggIBngQMHDrAAtmce9iAQFIHjx4879dO9e3enOpXIF2D+QeRfY0YYUQIxis94WHMnZUg6qHVbjqjGaXwW1ZRt0dJlJdINE7R45nAlcZc7CVFBAAEEEEAAgfAQWLNmjRlo374/ZgFsU4MCAsETOHbsmNlZx44d1KlTJ7NOIToEeJyMjuvMKP0hYKnQJ+ve08f2tip3a+OWMpekjX1nIP+2V8akJVo75TadXZSrKYv3q8Ji9Fet8p1LNOW+Gfr4tmlau2KqBiW2DWQgtI0AAggggAACCAREwPhaU1nZ52bbo0aNMssUEEAgeAKffvqp2dk///PtZplC9Ai4XW43eobPSBHwQcBxoWqnww9rzeS7tWayJK8LWDud5J9KTKJuzV2i7QOL9EHBrzUw5bC13bjMXM1+fbteHtRN8f7piVYQQAABBBBAAIGgC7z33lazT2N2Q48erKNiglBAIEgClZWVTl8v7NePheiDRB9S3ZA0CqnLQTAhKZCYpTdPZwUutCtuv60SM4brEeO/FwIXHi0jgAACCCCAAALBFDAeVAsKCswuR48erdhYvgRrglBAIEgCrusZpaamBqlnugklAV5PC6WrQSwIIIAAAggggAACCES5wP79+50EMjMznepUEEAgOAKlpUfNjtLSuishIcGsU4geAZJG0XOtGSkCCCCAAAIIIIAAAiEvsHLlSjPGIUMyeVA1NSggEFyBbdsaXhO96667gts5vYWMAEmjkLkUBIIAAggggAACCCCAQHQLFBcX68KFiybCvffea5YpIIBA8ATOnz/vdC/ecMMNweucnkJKgKRRSF0OgkEAAQQQQAABBBBAIHoFNmzYYA7eeB0mPT3drFNAAIHgCRw8eNCpM+5FJ46oqpA0iqrLzWARQAABBBBAAAEEEAhNgZMnTzp9qWns2LGhGShRIRAFAnv37jVHabwmyr/oFSBpFL3XnpEjgAACCCCAAAIIIBAyAu+917B+SseOHdS3L5/3DpmLQyBRJXD58mWnBO6AAQOiavwM1lmApJGzBzUEEEAAAQQQQAABBBAIskBlZaUKCgrMXocNG67Y2FizTgEBBIIncOTIEafOunfv7lSnEl0CJI2i63ozWgQQQAABBBBAAAEEQk6gqKjIKaasrJFOdSoIIBA8gdLSo2ZnxtpinTp1MusUok+ApFH0XXNGjAACCCCAAAIIIIBAyAgYr8KsX7/ejCc7O1sJCQlmnQICCARXYNu2hldF+/btF9zO6S3kBEgahdwlISAEEEAAAQQQQAABBKJH4MCBA06f9h4xYnj0DJ6RIhBiAufPn3e6H/v0uTXEIiScYAuQNAq2OP0hgAACCCCAAAIIIICAKbBmzRqz3Lfvj5WSkmLWKSCAQHAFDh486NRhenq6U51K9AmQNIq+a86IEUAAAQQQQAABBBAICYHi4mKVlX1uxjJq1CizTAEBBIIvsHfvXrNT41VR/iFA0ojfAAIIIIAAAggggAACCLSKwIYNG8x+jQV3+/TpY9YpIIBAcAWMrxgeOPBns9OePXuYZQrRK0DSKHqvPSNHAAEEEEAAAQQQQKDVBE6ePOn0gHrvvfe2Wix0jAAC0vHjx50Yevbs6VSnEp0CJI2i87ozagQQQAABBBBAAAEEWlVg7dq1Zv8dO3bQ4MGDzToFBBAIvsDHHx8wOzXWF+MrhiZHVBdIGkX15WfwCCCAAAIIIIAAAggEX8B4DWbHjiKz45ycHMXGxpp1CgggEFyBy5cvq6CgwOz0lltuMcsUoluApFF0X39GjwACCCCAAAIIIIBA0AUKCzc59dm/f3+nOhUEEAiugOuraQMHDgxuAPQWsgIkjUL20hAYAggggAACCCCAAAKRJ2DMMsrPzzcHNm7cOF6DMTUoINA6AsXFn5gdG4vSd+rUyaxTiG4BkkbRff0ZPQIIIIAAAggggAACQRVwnWWUlTUyqP3TGQIINBbYtm2rubFv335mmQICJI34DSDQLIFqle8u1KrpI5Xae6FK6ppzssO5XZKVav3vJo2Y/jtt2l2umuY0ZT3Wopryvdq4cKJ62tu7caJeKSxRhaXZjXECAggggAACCCAQcAFj3RTHWUbZ2dnMMgq4Oh0g4F2gtLRUFy5cNA/q0+dWs0wBgTYQIIBAUwJGsmePSg++q5mLilRrPzxhkL3U9N+ao1o1eYLmFlW4HFurstVz9cxqKS5zmn73wk91a2Jbl2PcVatVXviSJk/+o/TQi9pQ+lt1i5dqyndq+bynNPC3P9HyFVM1yKe23LXPNgQQQAABBBBAwP8Cu3btcmp0xIjhTnUqCCAQfIFjx46ZnRpfMkxPTzfrFBBgphG/AQS8CtSpovBV5Z/+H8UkZ+qnmYlej3a703JGm6a6Sxg5H11bNE8PjP+tSmqamiZUrbKV0zRqcr7ODntRy+ZkqVu8cSvHKL7bEOXOmaahXyzXhPELtLviW+dOqCGAAAIIIIAAAq0kYMwyWrlypdn7kCGZSklJMesUEECgdQR27txpdjxsGIlcE4OCVYCkET8EBLwKtFFi1nOam5OtkVn36+knx6i91+Ndd36rc+8u1IxtFYrLzNWCldt16PQpHTf+O7lf617J1eA4h3OOLdWMZZ96eVXNopqSVZoy633VaoCemXK3klzu4piku5X37ADp2HLlzt6qc03loBy6p4gAAggggAACCARKwJhl5PgKzAMPPBCormgXAQR8FDh//rzKyj43j+bVNJOCgk3A5XETFwQQ8CbQJilZGd4OcN1nOaUdK0rUb9YWfbQ8T/cN6qZ4+zExicrIytPSXcv10A32zFGtypZt0SfVHjI9lnJtmL1UZUYbvTJ1W9dYe2sOf2PVdUCmekiq3TZPL7x7Rh5acziHIgIIIIAAAgggEDgBZhkFzpaWEWiJwL59+5xOT01NdapTQYCkEb8BBAIoYDmxX1uS8jRr3E0NySKX/mIS79QvXnxcafbttbu1s+Qbe83hr0XVe9/RS58ZqyrFqcd9/dXVwx0ck9xTdyQYp1Zo+4pdOkHWyMGRIgIIIIAAAggEW4BZRsEWpz8EfBNwfDXNWJg+Ntbd/yjtW1scFZkCHh45I3OwjAqB4ArU6aujlfqJm1fInOOIUfzNQzWml3220SX9reqy8yHW2jcqKdptW4i7g9K7XCOPN3Cbzrp5ROf6Nj5bofy9DV9DcNMwmxBAAAEEEEAAgYAJuM4ySkvrzlpGAdOmYQR8F3B9Na1fv76+n8yRUSPg8ZkzagQYKAIBEzDWQ8rTI918yNbH/FA9Bl1viyRRN3Z2s3JSdal2FpyxHXOdUn9ovujmZgSxanfN923bL6r09Ne8ouZGiU0IIIAAAgggEHgB11lGjz76aOA7pQcEEGhSwPXVtB49jAUu+IeAswBJI2cPagiEgECqkpMaJ5rqjh/UNuPNNOu/q9X+qjb2ipu/sUpKtr+PXKsj+47pKzdHsQkBBBBAAAEEEAi0gOMX04xZRn369Al0l7SPAAI+CPBqmg9IHOL57RZsEEAgmAJVOnu0or7DXhm68VrXhFCdLp45pSp7SAnJuq6D6zH2nW7+fnpK5+rcbGcTAggggAACCCAQQIHi4mKnL6YxyyiA2DSNQDMEeDWtGVhRfug/fPfdd99FuQHDR8B3gYpCPdYvT7uMMxJyta44TxnNyN147Kh6t2b0G681tZ01duUGzR3UweXQyypfOUHDZv2pfrsPfdeVLFS/7MW2RNM9eunjlzUy0XOwd9452KXP+urZU6esheuSk93uZyMCCCCAAAIIIIAAAggggEBgBD780Pr0GZjGfWiV19N8QOIQBAIrYFF1yYfaZLx61mu8xt3umjAyeq/TpUqHL6p1TtBV3L2BvSy0jgACCCCAAAIIIIAAAghEuYDnaQdRDsPwEQiagOU/9eEftqtWGXp6Zpa6+ZIM6tje70kjTxns1C71M4w87Q+akw8d2WdLEasPWM08BNtmgvl4eDi5GkMKp3iJ1ccfYTMPCydXfrPNvLjNONyX34HxxbRx48aZr6YZaxktXbq0Gb3471Bf4vVfby1riVhb5uftbGwbdIxX0x588N/MDfPnz7vitcbCydUYcDjFa4/VvFCtVCBp1ErwdItAvYBF1Xvf0oxt1UqbtFgTMtx8Ne2KqCyqra7St1d0LichgAACCCCAAAItE+CLaS3z42wEAinAV9MCqRt5bfsypyHyRs2IEAgVgZpP9bt5f5SGvahlk/oo3te4LlTpksXbwRbVVlXK/NhaXIL+KY7b3ZsY+xBAAAEEEEDAPwLGLCO+mOYfS1pBIBACfDUtEKqR2yZPkZF7bRlZqAtYzmjT1Fy9pse1csG9SvJ6N8YqKTm1YURnKptIGjUcai19r73akTRyQaGKAAIIIIAAAoEQYJZRIFRpEwH/CJw8eVJlZZ+bjfXr19csU0DAnYDXx1R3J7ANAQT8IVCtsvz/0IzTP9HyFT9TRnxTt2IbdeicLN9fXqvTpSqHhbNvSVYSL6P648LRBgIIIIAAAgh4EXCdZdS374+veK0UL92wCwEErlBgz5695pkdO3bg/jQ1KHgSaOpJ1dN5bEcAgSsW+FYVu1/VlPnSM6/8XIMS2/rUUpvU3hoWZzu08pTOXqzzcp7j19bi1GPgDbrWy9HsQgABBBBAAAEE/CHgOsvoscce80eztIEAAn4S2LZtq9nSsGHDzTIFBDwJkDTyJMN2BAIiYFFN2To9n/efGrNxnh5Ja+d7L+3SdVd2Z9vxx3Xq3GUv51bp7NEK2/7eyhpwvbjZvXCxCwEEEEAAAQRaLOA6y2jIkEylpKS0uF0aQAAB/wiUlpaaXzQ0WuzT51b/NEwrES3Ac2REX14GF1oCRsLoHU25b72SFs7Qw81JGFkHcrUyMgepfrLRF9pz+Et5XAu7+rg++aiyfvi9MnVb19jQoiAaBBBAAAEEEIg4gTVr1jo9kD7wwAMRN0YGhEA4CxQXf2KGb7yalp6ebtYpIOBJgKSRJxm2I+BXAYeE0etv6PlBSd5n/tQU69WFe1XtFEOM2t3+oJ7pZaSNanVk3zF95bS/oWL522mVWj+dlqih4werK3d6Aw4lBBBAAAEEEPC7QGVlpfLz8812mWVkUlBAICQEjJmAjvfo6NGjQyIuggh9AR4lQ/8aEWHYCzQnYfStKkre0YzRv9JXvW9Uo5fXYrpp1MzHlWaYFP1RH5S7e0WtSoe2bNYRSXHDpmn6vZ29J6jC3pcBIIAAAggggEBrCxQWbnIKgVlGThxUEGh1gSNHjKeDhn8DBw5sqFBCwIsA31PygsMuBFouYE8YzdAuY+ZPzgCt9qXRuHFannG1myNjFJ/xsOZO2q0xiw5q3ZYjGpXXR/HmkUZ/W7R0WYl0wwQtnjlcSaSGTR0KCCCAAAIIIOB/gfPnzzvNYBg3bhxrGfmfmRYRaJHAjh07zPPT0rqrU6dOZp0CAt4EeJz0psM+BBwFLBX6ZN17+ti+rXK3Nm4pU4293ujvt6ooflNT7rMljBrt97whLvtOZbTzdHu2V8akJVo75TadXZSrKYv3q8K6uFG1yncusfb38W3TtHbFVJ+/zOY5EvYggAACCCCAAALeBVasWOF0QFbWSKc6FQQQaF0B4/XRHTuKzCDuvfdes0wBgaYEmGnUlBD7Eago1GP98rSrkcRhrZl8t9ZMlpSQq3XFecpwvKMqtur50fPcnNeoIZcNnTUyM73xq2mOR8Uk6tbcJdo+sEgfFPxaA1MOW/fGZeZq9uvb9fKgbg6zjxxPpIwAAggggAACCPhP4OTJk04Po8Yso4SEBP91QEsIINBigcOH658V7A3179/fXuQvAk0KOD7iNnkwByAQlQKJWXrzdFbzh36l5/ncU1slZgzXI8Z/L/h8EgcigAACCCCAAAJ+E1i7dq3ZlvE1JmYZmRwUEAgZgTVr1pixGIvUk9g1OSj4IODp/RcfTuUQBBBAAAEEEEAAAQQQiFaB4uJip1lGOTk5PIxG64+BcYesgLHmWFnZ52Z8Q4YMMcsUEPBFgKSRL0ocgwACCCCAAAIIIIAAAk4Cb731llk3ZhkNHjzYrFNAAIHQEHj//Q+cAunRo4dTnQoCTQmQNGpKiP0IIIAAAggggAACCCDQSMBx9sLUqVMVGxvb6Bg2IIBA6wlcvnxZ27ZtNQMw1hzjPjU5KPgoQNLIRygOQwABBBBAAAEEEEAAgcYCxue7+/Tp03gHWxBAoFUFjhw5ogsXLpox3HHH7WaZAgK+CpA08lWK4xBAAAEEEEAAAQQQQKCRwNNPP91oGxsQQKD1BXbs2GEGYSR3U1JSzDoFBHwVIGnkqxTHIYAAAggggAACCCAQ5QKVlZVOAsaXmNLT0522UUEAgdYXMO7VHTuKzEDuvfdes0wBgeYIkDRqjhbHIoAAAggggAACCCAQxQJvvPGG0+jHjx/vVKeCAAKhIVBU1JAwMiLq379/aARGFGEnQNIo7C4ZASOAAAIIIIAAAgggEHyBkydPOs1cMBbV7dSpU/ADoUcEEGhSYOfOneYx2dnZSkhIMOsUEGiOAEmj5mhxLAIIIIAAAggggAACUSowf/58p5GPHfuAU50KAgiEhkBpaakcv27Yr1/f0AiMKMJSgKRRWF42gkYAAQQQQAABBBBAIHgCe/bscXoINXrm093B86cnBJoj8OGHu83DO3bswNcNTQ0KVyJA0uhK1DgHAQQQQAABBBBAAIEoEbh8+bKWLFkSJaNlmAiEt4CxAHZBQYE5iNGjR5tlCghciQBJoytR4xwEEEAAAQQQQAABBKJEYM2atbpw4WKUjJZhIhDeAvv373caQGZmplOdCgLNFSBp1FwxjkcAAQQQQAABBBBAIEoEzp8/r/z8fHO0Q4bwAGpiUEAgBAXeffddMyrjfmUBbJODwhUKkDS6QjhOQwABBBBAAAEEEEAg0gVWrFjhNMTx48c71akggEDoCBQXFzutPTZkyJDQCY5IwlaApFHYXjoCRwABBBBAAAEEEEAgcALGA+iOHUVmB08++YQ6depk1ikggEBoCezYscMMiAWwTQoKLRQgadRCQE6PNoFqle8u1KrpI5Xae6FK6po7fotqyvdq48KJ6tklWanGfzdO1CuFJaqwtGZbze2b4xFAAAEEEEAgkgWMxa8XLFhgDtF4AL3nnnvMOgUEEAgtAWMBbMckb05OTmgFSDRhK0DSKGwvHYEHT8BIFG22JXp6aVhOnuauPnwF3VervHC27h/yhJZ/PUIbSk/o+OkTOrRpjLTlKQ0c8aJ2V3zrY7v+bMvHLjkMAQQQQAABBKJGYPPmzU6LX0+dOlWxsbFRM34GikC4CRQVNcwKNGLv379/uA2BeENUgKRRiF4YwgoVgTpVFL6q/NP/o5jkTP00M/EKA6tW2cppGjU5X2eHvahlc7LULd64/WIU322IcudM09AvlmvC+AU+JI782dYVDofTEEAAAQQQQCBiBYzFr19//Q1zfMZiun369DHrFBBAILQEjJmB69evN4PKzs5mAWxTg0JLBUgatVSQ8yNcoI0Ss57T3Jxsjcy6X08/OUbtmz1ii2pKVmnKrPdVqwF6ZsrdSnK582KS7lbeswOkY8uVO3urznl8Vc2fbTV7IJyAAAIIIIAAAlEgwOLXUXCRGWJECRw5csRpZuCIEcMjanwMpnUFXB5dWzcYekcg1AXaJCUro7lBWsq1YfZSlRnn9crUbV3dTe2OVdcBmeohqXbbPL3w7hm5zRv5s63mjoPjEUAAAQQQQCDiBfbs2eO0LgqLX0f8JWeAESDw1ltvmaNIS+uulJQUs04BgZYKkDRqqSDnI+BVwKLqve/opc9qJcWpx3391dXDXReT3FN3JBiNVWj7il060Shr5M+2vAbNTgQQQAABBBCIQgHjFZclS5aYI2fxa5OCAgIhK3Dy5EmVlX1uxjd27FizTAEBfwh4eHz1R9O0gQAC0jcqKdotI2UkdVB6l2vk8aZr01k3j+hcj/bZCuXvvegC6M+2XJqmigACCCCAAAJRL7BmzVqnV1yef/55Fr+O+l8FAKEu8N57W80QjURv3759zToFBPwh4PH51R+N0wYCUS9QXaqdBWdsDNcp9YfxXkhi1e6a79v2X1Tp6a+dX1HzZ1teomAXAggggAACCESfgDFbIT8/3xy4sfh1enq6WaeAAAKhJ1BZWamCggIzsGHDhpPoNTUo+EuApJG/JGkHATcCdccPalv9NCNJV6v9VW3cHGXfFKuk5FRbpVZH9h3TV/ZdkvzZlkOzFBFAAAEEEEAAAc2fP99J4YknnnCqU0EAgdATKCoqcgoqK2ukU50KAv4QIGnkD0XaQMCtQJ0unjmlKvu+hGRd18Fb0sh+oO3vp6d0rs6+zZ9t2dvkLwIIIIAAAgggIG3dutVpTZSpU3/B57r5YSAQ4gLGGmTr1683o8zOzua+NTUo+FOApJE/NWkLASeBOl2q+sZpi/dKG3XonKz29oMqT+nsRXvWyJ9t2TvgLwIIIIAAAghEu8D58+e1YMFvTAbjy0vDh/O5bhOEAgIhKnDgwAGnNchGjOC+DdFLFfZhkTQK+0vIAEJXoE6XKh2SRp0TdNUV33H+bCt0xYgMAQQQQAABBIIrsGLFCqcOn332Wac6FQQQCE2BNWvWmIEZyd6UlBSzTgEBfwpc8SOsP4OgLQSiQqBj+xYkjVyE/NmWS9NUEUAAAQQQQCA6BPbs2aMdOxrWRHnyySd48IyOS88ow1yguLjY6ZXSRx99NMxHRPihLNCMBVZCeRjEhkAkCFhUW12lb/0ylOa3deedg7323NR+rycHeSexBg4c28DYhpOrIRBO8RIrv1l+s77/Bl5//Q0Z//n6L5zuL34Hvl7V5h/H76D5Zr6e4avts89O87XJgB3na6wBC6CZDYdbvM0cnl8PZ6aRXzlpDAEvAheqdMniZb8sqq2qlPmxtbgE/VOch1vUn215C4l9CCCAAAIIIIAAAggggAACUSvATKOovfQMPPACsUpKTpV0rL6rM5X1SSMPeaBG8XyvvdqZSSN/ttWoJ+uGDz/c5XZHapdkr/vdntRKG+3/i4GnsbRSWG67DadYjQGEU7zE6vYn55eN2PqFsVEjuDYi8dsGbN1TGq+lzZo129xpfHXp5z9/2qw3VQgnV2Ms4RQvsTb167vy/ZFi++qrr6mgoMAK0bFjB+Xn5ys2NvbKYVp4Zji5GkMNp3jtsbbwErX4dF8fX1vcEQ0gEH0CLl9DaxLA5QtptyQryUzr+rOtJgPhAAQQQAABBBCIUAHjM91LliwxR2c8dE6cOMGsU0AAgdAVqKysNBNGRpTDJbca4QAAIABJREFUhg1v1YRR6EoRmT8FSBr5U5O2EHARaJPaW8PibBsrT+nsxTqXIxyrjl9Ii1OPgTfoWofd/mzLoVmKCCCAAAIIIBBFAsuWLXf6TPfUqVN56Iyi689Qw1ugsHCT0wCyskY61akgEAgBkkaBUKVNBOwC7dJ1V3ZnW+24Tp27bN/j5m+Vzh6tsG3vrawB18vpBvVnW256ZxMCCCCAAAIIRLZAaWmp0yyFIUMy1adPn8geNKNDIEIEjFlGxqto9n/jxo1TQkKCvcpfBAIm4PRMGrBeaBiBqBW4WhmZg1Q/2egL7Tn8pTyuhV19XJ98VFkv1StTt3V1fTfZn21F7QVh4AgggAACCESlgPFa2pw5c8yxG6+lPfHEE2adAgIIhLbA/v37nQK8447bnepUEAiUAEmjQMnSLgJWgRi1u/1BPdPLSBvV6si+Y/rKg4zlb6dVav10WqKGjh+sro3uTn+25SEINiOAAAIIIIBARAq4vpb21FNPMUshIq80g4pEASPpu3LlSnNoxizBlJQUs04BgUAKNHosDWRntI1AVArEdNOomY8rzRh80R/1Qbm7V9SqdGjLZh2RFDdsmqbf29n51TQ7nD/bsrfJXwQQQAABBBCIaIHi4uJGr6XdcccdET1mBodAJAns2rXLaS2yBx54IJKGx1hCXICkUYhfIMKLBIEYxWc8rLmTMiQd1LotR1TjNCyLasq2aOmyEumGCVo8c7iSPN6Z/mzLKQgqCCCAAAIIIBCBAsY6KAsWLDBHxmtpJgUFBMJCgFlGYXGZIjpIj4+mET1qBofAlQhYKvTJuvf0sf3cyt3auKXMJQFk3+n6t70yJi3R2im36eyiXE1ZvF8V1sWNqlW+c4mm3DdDH982TWtXTNWgxLauJ7vU/dmWS9NUEUAAAQQQQCCiBN544w2nGQrG19JYPDeiLjGDiXAB11lGQ4YMifARM7xQE2gTagERDwIhJ1BRqMf65WlXo8AOa83ku7VmsqSEXK0rzlOGtzsqJlG35i7R9oFF+qDg1xqYctjaYlxmrma/vl0vD+qm+EZ9eNjgz7Y8dMFmBBBAAAEEEAhvgT179mjHjiJzENnZ2XwtzdSggEB4CLz77rtmoGlp3bmHTQ0KwRLw9ogbrBjoB4HQFkjM0puns/wUY1slZgzXI8Z/L7S0SX+21dJYOB8BBBBAAAEEQkng/PnzWrJkiRmS8VraxIkTzDoFBBAIfQFjPbKyss/NQB999FGzTAGBYAnwelqwpOkHAQQQQAABBBBAAIEgCSxatMjptbTnn39esbGxQeqdbhBAwB8Cb731ltkMs4xMCgpBFiBpFGRwukMAAQQQQAABBBBAIJACW7du1YEDfza7GDdunNLT0806BQQQCA8BZhmFx3WK9ChJGkX6FWZ8CCCAAAIIIIAAAlEjcPLkSS1Y8BtzvMbshLFj+Ty3CUIBgTAUYJZRGF60CAqZpFEEXUyGggACCCCAAAIIIBC9AsanuefPn+8E8Oyzz/JampMIFQTCT4C1jMLvmkVSxCSNIulqMhYEEEAAAQQQQACBqBVYs2at06K5U6f+QikpKVHrwcARiAQBZhlFwlUM7zGQNArv60f0CCCAAAIIIIAAAgjI+MpSfn6+KdG37481fPhws04BAQTCQ8C4lx3/McvIUYNyawiQNGoNdfpEAAEEEEAAAQQQQMBPApWVlVqwYIHZWseOHTRp0iSzTgEBBMJHgC+mhc+1ipZISRpFy5VmnAgggAACCCCAAAIRKTBv3jxduHDRHNvUqVPVqVMns04BAQTCQ2DPnj1Or5gyyyg8rlukR0nSKNKvMONDAAEEEEAAAQQQiFiB9evX68CBP5vjy87OVp8+fcw6BQQQCA8BYyH7JUuWOAXLvezEQaWVBEgatRI83SKAAAIIIIAAAggg0BKBkydP6vXX3zCbMBbMnThxglmngAAC4SOwa9cupxmD4RM5kUa6AEmjSL/CjA8BBBBAAAEEEEAg4gSMWQm//OUvncY1c+ZMxcbGOm2jggACoS9g3M8rV64M/UCJMCoFSBpF5WVn0AgggAACCCCAAALhLPDyyy87zUqYOvUXrGMUzheU2KNagFlGUX35Q37wJI1C/hIRIAIIIIAAAggggAACDQJbt27Vjh1F5oYhQzI1fPhws04BAQTCR8B1lpFxP/MPgVASIGkUSleDWBBAAAEEEEAAAQQQ8CJgrGO0YMFvzCM6duygKVOmmHUKCCAQXgJr1qx1mjX4wAMPhNcAiDbiBUgaRfwlZoAIIIAAAggggAACkSDgbh2jX//616xjFAkXlzFEpUBlZaXy8/PNsRuzjFJSUsw6BQRCQYCkUShcBWJAAAEEEEAAAQQQQKAJAXfrGPGA2QQauxEIYYHCwk1O0THLyImDSogIeEkafauKkq1aNX2kUnsvVEldK0dcc1SrJvRXapf+emzxflVYAh1PiI3fy3At5St1X5eHtKr8spej2IUAAggggAACCCAQrgLr169nHaNwvXjEjYAbAeNVU8dZRuPGjWOWkRsnNrW+QJtGIdSUa/f2LXpn+mLtqrXtTRjU6LBgb6j7fLteLaqwdrvr5TUaMaaPRiY2Dr/FcYXo+D2P67JO/KlIR3plan5XPrHq2Yk9CCCAAAIIIIBAeAqUlpbq9dffMINnHSOTggICYSuwdu1ap9izskY61akgECoCLjONalSy7Hm9c8KeLQqVMKU23Yfq55mJkhI1eMpY9b02AAkjhe74PV4Jyxf6aONf1OO+/urqcjU9nsOO1hMwkpKFv9OMYTcptUuy7b/+emzhH7Rpd7lqmhWZRTXle7Vx4UT1tLd140S9UlgShJl4zQqUgxFAAAEEEEDgCgWMNU/mzJnjdPaiRYtYx8hJhAoC4SVgJIIdv4D45JNPKCEhIbwGQbRRI+CSZohXRt4avTn1OS3dNFM9Qokh/iY9sny/jp/erzdz+yvRJXL/hBrI8V9W+Tvr/f6an+XEfhWW36GcockKCIl/YGlF36qieKke+/FQ5W75L9364k59fvqUjhv/lebrwYQjejMnS/dPL1R5jS/vXlarvHC27h/yhJZ/PUIbSk/o+OkTOrRpjLTlKQ0c8aJ2V3yLOwIIIIAAAgiEsYCx8PW8efOcvqw0a9ZMderUKYxHRegIIPDaa6+ZCMbMwXvuucesU0Ag1AQ85hliftBF6XGhFm7w4vH7+Ks/Vv6r/+nnAdS/mnYie6TuTGrr57Zpzn8CFtWU/FaPjp6nj2+bq/WvTNLIjMSGJF98Nw3KeV7LXhmqs6vzNGrquzrnNW9UrbKV0zRqcr7ODntRy+ZkqVu8cSvHKL7bEOXOmaahXyzXhPELSBz57yLSEgIIIIAAAkEXMD7FfeDAn81+s7Ozdccdd5h1CgggEH4Ce/bsUVnZ52bgOTk5zBw0NSiEooDHpJHi2uma74ViyEGKya/j/1bndm3SJn+vU219Ne1vGpmZrnZBYqGbKxCwlGvD7KUqU2eNfOhupVkTPK7ttFXSvY/rmV5xqt22UG/sveh6gK1uJKBWacqs91WrAXpmyt1KcrmLY5LuVt6zA6Rjy5U7e2sTCSgP3bAZAQQQQAABBFpVwHiwdFwkt2/fH2vixAmtGhOdI4BAywSM2YNLliwxG0lL667hw4ebdQoIhKKAy+NmKIYY/jFZzm3VC78qlL9Xiqp/Ne023ZVxdfgjRfAI6g5t1aufGVe/l279UXvPI435vtp3NDK1Z7SpqFTV7o40E1BGc5m6ze3i57HqOiDT+npp7bZ5euHdM/I6ccldP2xDAAEEEEAAgVYTML6qNGvWbLN/4/WVSZMmMRvBFKGAQHgKbN682el100cffTQ8B0LUUSVA0ijQl7vmqN5+fp62+ztjJPuraXcqox2XMdCX8crbr9PFM6dUZW3gG1VdqvOpqdqKKjdJRouq976jl6wJqDivi5/HJPfUHda19Cq0fcUunSBr5JM7ByGAAAIIINDaAsbC17/85S+dwnj++edZx8hJhAoC4Sdg3NuOX0EcMiRTffr0Cb+BEHHUCZBtCOAlt1Ts16uTJ2huUYX/e+HVNP+bBqTFGMW1T1D98mAHtW7LEc9fSLP8XVUX/ltSnHoMvEHXNornG5UU7bYlkzoovcs1DesiuR7bprNuHtG5futnK5Tv8XU31xOpI4AAAggggEBrCrgufD116i+Unp7emiHRNwII+EHgjTfecGrlgQcecKpTQSBUBZqfNLJUqKRwoR670fa58GZ94rv+E+GbChzONz4VbrRR8L5KvH7tqVrluwu1avpIpU4oVJNpGOPT5q79dKn/tPmWkoorf13Hp/EbX7aaqXv6PahFjgmjysUak2r/zHqyb+Pw8Mvxz6tpjp9sz9WmCvssGMN6vV6Z0N/2SfibNGL6O42vj2Gx2fHz8YZvYePjPIwhOjbHKP6HyepqHWytyhb9WstL6ucduY7fek2NWURxQ91/Da+6VDsLzthOu06pP4x3bcKhHqt213zfVr+o0tNfX/lv3qFViggggAACCCAQWAHHha+NmQisdxJYb1pHIBgCxiunO3YUmV2NGzdOKSkpZp0CAqEs0KykkaVip2aNuEtjJi/WLvvrVrVFem3yw3p0UbHnGRRWAeOLT09p0LxPpS5jtfQvxufGy7Sv4EWNvf4jvTblCY0Z/JReLXZO6FgqSrTFmvzppWE5eZq7+nATng2fNp+wrEojNn1W/1nzk/u1dkq6Pl70S03O7q/uRrLK8T8fElG+j7+dumXN1nvG59SPb9DT1teEJCXkat1x22fWjX3Ls5TYxGjc727hq2lGQq3QSPb00M1DHtHURUUNr0LVlGnT9Ic1LOdZvWYmvGpVtvo5jRk8TZvO1X/G3bT4+VytOWb/MVRo16I8jRn/W5X49Nl496OLtK0xXQcrZ5j9SpfotYf+XavKXFYsMl5jnPdbHVGihv6/PN3j5mt4dccPapudWler/VVtvFDFKik51ba/Vkf2HdNXXo5mFwIIIIAAAgiEloCx8PWUKVNCKyiiQQCBKxKYP3++eZ6xRllW1kizTgGBUBfwMWn0v6ouW63Hf/ahkqcV6pCR8DASPuunabD1vRtjBsUibSj39HmwKpUsHK/R+wbo906fG2+rxIwHNXvFYj10Q5xUW6RFo5/SYnMmxn9q8/QFOvDF3/Sl+bDsjbTh0+a7lKWX3npOI7vZvisWk6hbcxdo5aQMs4G4YQu196QtieM1gdPS8Ztd+qdQ/bHy55+9wq+m1ahk2fN6p/y8/vaFC+qlUq2aulSnbp2pfVaXEzq0Y6HGGtfG+FdbqBmvf6T/qtipOT/7o9r/7G33xx1bqrl/LGdmi/1qx3TWPTOmaaiNUbXva+6/PKxZu8/VG1nOafeCX2lu0bUa+8pKzc/q7Oa1M8e1kYwEZLKu6+AtaWTv3Pb301M6Z59I5rKLKgIIIIAAAgi0rkBpaalTACx87cRBBYGwFti6davKyj43x5CTk6OEBPusAnMzBQRCVsC3pFHlEuUulJ75/Rw9Mqib6l+KaavEPjmaanza2/rvoAr/9IWbRIGRyHlbMxZJP33yJ24/Nx6TOED/dn9vWzslem12ocqtC/f+X41cvkZz8/6f1qwcZ1sXxnaYuz8OX5aKyx6pOxvN1mivjEd/rrH2HMi2P2rHCU+JLocOWjR+h3b8UrSouuRDbdKgK/xqWrwy8tbozanPaemmmdYvbNWH9ZlWrirRTTPnaXJWhhKtv4wYxXe7V1On/atpX1vwonJeOamf/HaRy3FZmr14qq29Wh3ZuJ/Flx2ud0zSvZq/ca4tyWrsOKzVOaP0+MJ3tOr5JzThzzfrpR1va25Wmu3+cjjZWqzTpapvXDd6qbdRh87JMr/VVnlKZy+SNfICxi4EEEAAAQRaReD8+fOaM2eOU98sfO3EQQWBsBW4fPmyVq5cacafltadV05NDQrhIuBb0ihunBa//KCbhE+sknveYnswrdXZyr83ThrZEzkJA3V7T/MR1sWnja5q7/DZ+M9K9JevHB9wHdeFcTnVoWquCSOp7TXtzESHwyFSu1Tdeps9s/sX/enoRafdbistGb/bBluysX4xZGW3/KtpDV/YMuLppZynx+nWxLYuwcWoXcadGmnOkrlBOZPHuzlOivlBF6Xbjys/pS95Rc3BMkbxaQ/qZafEkfE633Oau/p6vbRiRsOsOIezGop1ulTpkDTqnKCrfLt7G5qghAACCCCAAAIhJWA8UC5atMjpE9wsfB1Sl4hgEGiRwJo1a53u76effrpF7XEyAq0h4Nv7Ld9rr3ZxTT+hVh09o4vKcFqnpyGRYywCvdjHMR7XqXOXpcSGhX5jrmqvjl7PrtNXR0t0xOsxxs72uu6mRKmosskjzQNaMH6zDX8VrIshSyNfT5ftxTt/tey5nbh2uuZ7xutpng+x7nE8rrZS/1Vrkdo1/btpotUI2m1PHElT7pvRsC6YNuuZ8QnS4meaSBw5UHRs7/ek0Z13DnbooHGxqf2Nz2i9LcQaOHtsA2MbTq6GQDjFS6z8ZsPtN7tgwW9k/BcO/8Lp/gq330E42YZTrK39O/j5z3ObdWuHk204xdrav4Nm/QhC4GDfkkZXHKhDIsdYBLo4TxkB7rHpUNvoqgSHWU1NnxBCRzS8mrY4I1zHEEKcrRCKpeKAVixYpi+zf6UZ2tKwsPuxfD0z8pzOrJqrp/okulnTqLnBWlRbXaX6Zcubey7HI4AAAggggAACCCCAAAIIICAFOIXT3HVYWnJJYhTXPsH6SpoxIcbdrKf61h1f87lRA27q0JJOg3yu/dW02cpgBk+Q7VvanUU1Ze9oyn3/oS9HL9ZbM+9SYsz96pc6TaNnvV8/icu6EPxX+nrlG3p+UJL3xNGFKl2yyLb2lLvYLKqtqmyYHBaXoH9qYrbghx/ucteQ9SuDxg5P+92e1Eob7f8LB7H6/wJg639To8Vwcg23eMPJllgDc3+F8m92z549mjVrtjlwY+HrCxfql0zg/w0zWfxW4B7zG6VTQ+HkagQezHhd73HjtdPhw4c7+XmrBDNWb3H4si+cYjXGE07x2mP15ToE8pgAvzvkkKAJ+EK8MWp360/0U/uXvj46qL9WW1fTdvG7rOqv/16/rVembusa67I/hKv2V9Myg/hqWghzhE9o9oTRDO26/nHNnXqnLdnTTmk5i7R95QSlmYM5rNVPLtDmc65zhGKVlJxqHqUzldakUcOGJko+vmLZRCvsRgABBBBAAIEWChhfSnNNGBnrGvEPAQQiQ6CyslJLliwxB2Msfj14sPdlIMyDKSAQggIBTho5jvgzffLXKscN/i/H99KYnw2tXwC79o9a8NanqnHpxXJun9YVnJGUoadnZqlbEAVcQmlmteHVtLt4Na2Zdq18eM2nWj75P7SrtrPGThurjHjHH11bJQ6aqrfWT2v4slptoWbM3apzTjlPl6+hNTkkl1l+tyQrKcDzCpsMiQMQQAABBBCIcgF3X0qbOnWqOnXqFOUyDB+ByBFYvfr35sxBY1TG4texsWE0USFyLgUj8ZOA49Orn5p0bMZxdsQZbfrDPpcHYcdjG8qW8h3aUn65YYPPpbZKypqtDa+MU5pqVbYoV1MW71eF9eHbopryQs189Dltr+2ph1a+qtwMT19z87nDIB5ofzWt5V9NC2LQdCWLqj/Zot8dM16a7KVbf+TuN9dWiX1+qjmvN8w4qt22S8VOXxCU2qT21jD71+manLnnMMtPceox8AZdy9VAAAEEEEAAgVYTMGYfTJo0yelhctasmerTp0+rxUTHCCDgX4GTJ0+qoKDAbHTIkEylp6ebdQoIhKNAgJNGbXTtTRnqYZOp3TZPL7x7Rk4TKBqpVenQthOK/4Hrp98bHehhQzt1y3xQjz10j8Y+P0pa+qAGpiQrtUtX3TzyPV0z8SWt+3i9ZjW1ZoyH1lttM6+mtRp9yzquT/ZZPzyXkKzrOnia7mPMOHpKcydl2LqzfUHQsfN26boru7Pn/Y7Hqkpnj1bYtvRW1oDrva+R5HQuFQQQQAABBBDwp8Dly5c1b948p4TRuHHjdMcdd/izG9pCAIFWFDDu8/nz55sRGGuVPfHEE2adAgL/P3v3Ah1lde///3NSls1JkQOKNsRjJJCYqlw0SlGgEjB4AC9AOFi1yKWC9YIEQgF/aiSAnhJTwaDgBTQY8VLRGIQCchNYVKVoRMDSGASEFqOgyS+k+XP4ZY3/tSeZYSZzyUwyk8zlzVpxnst+9rP3a88kPt/Zl3AVCHLQSIrpfp1G9rZ1j6jQxmkPat624x4CR2bul7Va/v0vmj3Rs6XiIz0zbYEOZ87T/N/+Xi/+7bAOHmn4+dsyTcscqrT45gak2qqZGZrWVvItv+9p/d+KUz5m01FX3nyLPcjqetF5SstIrx9+qa+1fe8/PXyOJFUf1CcfVtZnEW5zd7lWnCMIIIAAAgiEtcDChQu1a9df7XUwvQ8mTpxg32cDAQTCX2Dr1q0qK/vSXpEJEyaoU6dO9n02EAhXgaAHjRSTpCETG+YZsirt1coJo3XvohKVVjhM9ltTrm3FBcoe9a4uHXGlOjRH1HJUa+Zmq+DDjkqKtwWqmpNRkK753ypV13rvZ+X+zgxNc+8SDkc76/IBl9cX1If2jzm3oy6wpk5WUkLjsc8x6nD9nZphDcLWat/OA/rOA4Hl2yPab+3eFK8bJw5W9+B/0j2UhMMIIIAAAghEt0Bh4Qpt2rTZjtC37y+VnZ1t32cDAQTCX8DMV5af/0d7Rczn3J/V0uwXsoFACAp4fpSsrdb3/9tQYh8edq0pG5YBd67nOUq4daYWj+/lcLhCWwum67ZrU63LeSd3TVJyjxs1KXu5/jnmft1+peu8L5ZTVTphy+HTwzpeZ9uxvVpUveMl5ayvkGpLNKOfQ94mf3c/wx7VytIK9701AlX/dhcq6eqGCHPtRr1efMA6Obe1R9R9edrmdoU3W50aXoM1NM2xjvpBVadcUBsVxOwGOp2bW0TUoVh1759R33uodpu2lP7gpXYWVf/9M30sKW5spgbFuxnKFpOi0XPurV9tbfPbet/t3F9V2rN2jfaZfIbN1qO3JjI0zYs6pxBAAAEEEAiWwKpVq1RUVGTP3gxXyc3NZVJcuwgbCESGQOMVEO+5557IqBi1QEDy8CxpqdAnK17TamtPBUkOwQ4nNctx7Vy9TfY10T5/V6/tcDP0LCZB6XNe0JvZGQ1Da5xyadiJU+r4xXppzg0Ny5E7pLEc146V71ofgq1HK7fpvZ2u94np0FkXO1zW5OaB15SbOUpTShrNsxTQ+l+oPjcPbKh3hbbm3qwruybp0msX6Ptf36XrO3iO29WXv2FoWspEjbu+c5NV8j1BtcqK/3S2jfWZ3lr5l4ZJwx1zqVbZymV6uWGkk0y6VzaovKZxjylf0znmHR3bMSmZWpA7VHE6qjfyXtA2xx52jgQ1n+rlvLdVe9kkLZ7Sz0Nvuxi1T7urYe6jz/TW2n2NVgisH+L5/LJSyeQzZ7gSmnqLOZaBbQQQQAABBBAIiMDu3bu1dOlz9rxMwMg8WLKKkp2EDQQiQmD79u1Ow0/vv/8+devWLSLqRiUQMAKNHifrVFEyVcndrtPtCzfLFjOSbMGONN1T8g9JNSpdNFzJ3fpr0it7HSTN0LP+urTrVK2uaNRrJSZe10xdoo3Fzyk/yzF4FKfUsTl6uniL1sxtHDBq6j7D9XRpTcP9zcP0A/rTphc1JSPeoUxNbVZo48MvaYe1x08w6t+wottL2Q1Lqpv6ztHyTa/6OBm3GZr2obqPui5AQ4wa6ti1t27K3eDQxrUqe2WSddLwaxaVqs7Wxu7SrZyuYT26K3lSiSrkJb+GdPX5NdUOkXy+g1In5GmVCRwdWK5Jgx/Q0yWlDgG6apVvW6GcMRP08kUP6s3CmUr3Ou9WR6VlLdGb2f10zGmFwGqVb1mi7FE5+rjfbB/yiWRz6oYAAggggEDbCZiA0axZs50KsGDBAnXp0sXpGDsIIBDeAmZVxCVLltgrkZp6qW655Rb7PhsIRIJAo/Ev7RQ/crEOjlzcZN3Spq/TwelNJmuU4BzFpw3VKPPj07Xt5fd9LN/qbyfu1Fv7H1Ba+0YxMafSWFRTvlOb1r6qOQW7tedgrdLT2gep/h2UcsODevFvDzqVwLedzkp/fJPSfUvsQ6ogtLGP7xkfChfBSUzg6DntGVqqdR9u13sPj9aAabbqmkDiDN0zu0Sz01PU3nbY26stCDtgs94vXqAB3eqDt3EZUzV36UYt9DUfb/fgHAIIIIAAAgj4LVA/t0m+03VPPplHzwMnEXYQiAyB5557zmlVxClTptCbMDKallo4CDQKGjmcCcNNS8UH+uO0P+vyJ55rImBkKhej9inXa1TWz1W9bYoOVp+WfHtcD0MZihwqAjHxabo50/z4FDVtotgmCDtc483P400k5TQCCCCAAAIIBF3ABIyysrKcHiJzc+eoT58+Qb83N0AAgdYVMMPSHCe5z8zMVI8ePVq3ENwNgVYQiJygkXXltEdVfPUftDPNdSJtj5YxP1PHC7oq+SKf+nd4zIYTCCCAAAIIIIAAAtErYIapNA4YjRs3TgMHDoxeFGqOQIQKNB6WZuYsmzx5UoTWlmpFu4C38VthZHNGx99bZF057ZzzO3iZbNu1Spbjn2jrRb/RqJTGy5u7puUIAggggAACCCCAAAKNBU6fPq28vDynHkYmYDRx4oTGSdlHAIEIEGg8LO2xxx5jWFoEtCtVcC8QIUGj77R77XbrpM5Vy5bptbJq97VtdNRSsUXz7vuLBv/O00pVjS5gFwEEEEAAAQQQQAABBwETMMrNzXVaPWnIkAwCRg5GbCIQSQIMS4uk1qQuvghESNDoQvUdO1qppsa1GzT/v67TTY++rNUlO9wsDW8mwN6h1Sse1S2D31bSkzmAHYo4AAAgAElEQVQakXCOL1akQQABBBBAAAEEEEDALuAuYNS37y+VnZ1tT8MGAghEjgDD0iKnLamJ7wIRMqfROYpPn6mXVp2vx8bnaWttrcpWzteMlZ4gzGpVj2j+1v9WmtelzT1dz3EEEEAAAQQQQACBaBdYtmy5Uw8jEzAyvY5iY5n2INrfG9Q/MgUYlhaZ7UqtvAtESNDIVPIcxfe5Vy/+7U6Vb9uuvx3ZpRdzX1OZY/0v+41yftdXl1wxUOkpHRzPsI0AAggggAACCCCAgM8ChYUrVFxcbE+fmnopASO7BhsIRJ4Aw9Iir02pkW8CERQ0slW4g1LSb1GKbtGICaxDblPhFQEEEEAAAQQQQCAwAiZgVFRUZM/MrJw0Z84cehjZRdhAILIEvvnmGy1ZssReKVZLs1OwEQUCETKnURS0FFVEAAEEEEAAAQQQaHMBdwGjgoICdenSpc3LRgEQQCA4AuYzfuLESXvmrJZmp2AjCgQIGkVBI1NFBBBAAAEEEEAAgZYLEDBquSE5IBBuAuvWrXOau2zcuHHq0aNHuFWD8iLQbAGCRs2m40IEEEAAAQQQQACBaBEgYBQtLU09ETgrcOjQIeXn/9F+wMxddscdt9v32UAgGgQIGkVDK1NHBBBAAAEEEEAAgWYL7N6922kOI5ORGZ7CkLRmk3IhAiEvcPr0aT355JNO5Zw1axZzlzmJsBMNAgSNoqGVqSMCCCCAAAIIIIBAswRMwGjWrNlO1z75ZB7DU5xE2EEg8gTeeONNlZV9aa/Y/fffp27dutn32UAgWgQIGkVLS1NPBBBAAAEEEEAAAb8EPAWM+vTp41c+JEYAgfAS2L9/v1Pvwr59f6kxY8aEVyUoLQIBEiBoFCBIskEAAQQQQAABBBCIHAECRpHTltQEAX8EKisrNW/ePPslF1zQWVlZWfZ9NhCINgGCRtHW4tQXAQQQQAABBBBAwKsAASOvPJxEIKIF8vLydOLESXsdH3jgAeYvs2uwEY0CBI2isdWpc4gJnFFF6QatLnlZOcOuUHLXJCV3TdM9Jf9oopwW1ZTv0LuLJquX9ZokJV8+WU+XlKrC0sSlnEYAAQQQQAABtwIEjNyycBCBqBBYtWqVdu36q72umZmZGjhwoH2fDQSiUYCgUTS2OnUOEQETLHpdOcOu0oDM+zTj4Y90/uQn9NSKjdpzpFQvjvxPL+WsVnnJXP16yH1a/v1Nemf/Vzp45CvtWX2btPYBDbjpCW2rOOPlek4hgAACCCCAQGMBAkaNRdhHIHoEDh06pKVLn7NXODX1Uk2ePMm+zwYC0SrQLlorTr0RaFOBmjKtXjBLM1buldRLd8x/VA/8po/ifQrjVqtsxWyNyd0gDVukDfNGKqHhuvYpQzR13r/0ZcZ0TZooLS+cqfT4c9q0qtwcAQQQQACBcBDYvn27cnPnOhXVrJLGpNdOJOwgEJECp0+f1kMPPeRUtzlz5ig2NtbpGDsIRKOAT4+o0QhDnREIloCl4iM9M21CfcAobqhy3n9V8+/yNWBkUU3pK8rO3aBa9deM7KH2gJGtvDEJQzV9Vn/pwHJNnbtOxxmqZqPhFQEEEEAAAbcChYUrCBi5leEgAtEhsHDhQqd5jGbO/D3zGEVH01NLHwQIGvmARBIEAiVgqdiieRMnqWBzhWQCRu/maXxqB9+zt5TrnbnPq8xc0TtD/bq7+/YjVt37Z6inpNr1eXr8vaMibuQ7MSkRQAABBKJLwASMioqKnCpNDyMnDnYQiGiBdevWadOmzfY6DhmSoeHDh9v32UAg2gUIGkX7O4D6t55AzW4tnjhVKw/USkrTlJV/8C9gJIuqd7yupz4318ep56jr1N3DJzgmqZcGdjJVq9DGwq36iqhR67Uzd0IAAQQQCBsBAkZh01QUFIGgCOzfv1/5+X+0533BBZ2VnZ1t32cDAQQkD4+c0CCAQGAFqlS6bIGetQaM4pSa9ZAmpXX08xY/qHTzNpmQkdRZPbqe7/kD3C5RV96UWJ//54Uq2nF22VA/b0pyBBBAAAEEIlKAgFFENiuVQsBngcrKSs2bN88p/YIFC5jHyEmEHQQIGvEeQKAVBMw8RK8qp6C0/l5x/62Zd1+t9v7euXq/thQfbbjqYiVf5C2HWHU4/2cNaU9q/5HvGaLmrzfpEUAAAQQiVqBxwMj0Lnj99deY9DpiW5yKIeAqkJeX5zSPUW7uHHXr1s01IUcQiHIBehpF+RuA6reCgOM8RGZY2aw7dX0H/z96dQc/0/r6bkaSzlPHc70tfhirhKTkhsrVat/OA/quFarKLRBAAAEEEAhlAdsKSY5zGJmAUUFBAZPehnLDUTYEAixgAse7dv3VnmtmZqYGDhxo32cDAQTOCvj/5Hr2WrYQQKBJAcd5iEziqzSy/yWeh5V5zK9OJ48eVpXtfKckXdzZW9DIlrDh9dPDOl7X6Bi7CCCAAAIIRJGACRjl5uY6PSgSMIqiNwBVRaBBYPfu3U6T36emXqrJkyfhgwACHgQIGnmA4TACgRFwnIeoYcWznx/TtpJivfLoCCV3TbL/9Jq0SO9uK1eN2xvX6VTVD27PuD/YTp0Tk2SfNanysI6dJGrk3oqjCCCAAAKRLkDAKNJbmPoh4LtAfn6+PbEJHM+ZM4d5jOwibCDgKkDQyNWEIwgETsBpHiJJn8/V6Oy1quzYU6MfX62DR77Snk2FyhnbS7WbF2vmhJH69aMlKq9pvNxZnU5VOgSNEjvpXD69gWsnckIAAQQQiGiBadOmOfUw6tv3lwxJi+gWp3IIeBY4ceLsAjEzZ85kaKpnKs4gYBXwY3wLYggg4K+A5dsj2m+fhyheg3OXa+GEKxwmwY5R+5R0jZ/XTR2//7VmrK9Q2cpHNO0n5+qlOTco3lNg6IKOBI38bQzSI4AAAghErUBZ2Zf2upuAkRmmFhsbaz/GBgIIRJ/AuHHjmPw++pqdGjdDwNMjaTOy4hIEEGgsYDlVqWP2g93Vv393h4CR/YQUk6hbcmbrxjhzrFZlryzVm3vsMxg5JPR106La6iqd8TU56RBAAAEEEIgwgUOHDrnUiICRCwkHEIgKATPxteM/87tg4sQJjofYRgABDwL/9uOPP/7o4RyHEUCgRQJ1qijJ1oBpaxpyuUVPfbxQI+I9dfA7qW2PjtaklUet6ePGFmrn4+nqYN2rUemi23RbwYH6vHrP0fp3JyjFY9i30b3jxmn5x3OU7mXVtkGDBjeU0/nl2OHD1gMXJyU5n2APAQQQQAABBBBAAAEEEEAgqAIffLA1qPk3lbnHR86mLuQ8Agj4KdDkimfnKS0jXdbORqa/0Z8/00H73NWxSkhKPnvDo5U61Xjao7NnXbd+2lEd4vi4u8JwBAEEEEAAAQQQQAABBBBAwJOApy4PntJzHAEEfBaIUVzHTtYgkH1aI6/Xxqj9RUnqLmmfS7qzq6H5Nmit0WprVycpoYlPu6cItlnhzfzzdN6lqG14wNZbirIGvhGwDbypyTGcXMOtvOFkS1kD9/kyQ1CKiopcMuTvggtJiw6E03vWVDScyktZW/TWdLq4srJSv/vd7+Q48bVJwO8DJ6YW74TTe9ZUNpzKaytrixuphRnQ9aCFgFyOgGeBs0Egaxoflr2PObejLvCQYbvkqzTM1g2pybwcV1uLU88Bl+lCD/lyGAEEEEAAgXAXOH36tDwFjMK9bpQfAQT8FzC/E/Ly8lwCRv7nxBUIIEDQiPcAAkEUiPl5V/WwBXr0g6pO2cebNX3XxE7OK6R16KEbMhMbrjuow8dPe8mjSse+qGg4f5VG9r9EfNi9cHEKAQQQQCBsBczDoVkNzbGH0QUXdNaTT+aFbZ0oOAIItExg2bLl2rXrr/ZMMjMz7dtsIICAfwI8R/rnRWoE/BNwCvR8ppK/fC3fpiKKU89R16m70yfUcc6jr7V97z8951V9UJ98WFlf1t4Z6tedZYX9azhSI4AAAgiEg8A333yjadOmOT0cmoBRQUEBS2mHQwNSRgSCILBq1SoVFxfbczYrpU2ePMm+zwYCCPgn4PRI6t+lpEYAgaYFOuv68RPV05qwVvve/UhfeYka1R0/rFJrWne9g2LU4fo7NaO36bpUq307D+g7DwWwfHtE+60TKcXrxomDGwWfPFzEYQQQQAABBMJIwASMsrKyVFb2pb3UqamXWgNGXbp0sR9jAwEEokdg9+7dWrr0OXuFTRB59uzZio3lC1Q7ChsI+ClA0MhPMJIj4K9ATMpI5WSl1V/2+Rr9eY+nqayrtHf7TlUpTqlZWRqd4uaPW0yKRs+5V6kmt81v6/1yd0PUqrRn7RrrZNpxw2br0VsTGZrmb6ORHgEEEEAgpAXMg+Gdd/7Gab4S05vg6aefFgGjkG46CodA0AT279+vWbNmO+Vveh126tTJ6Rg7CCDgnwBBI/+8SI1AMwQ6Ki1rkZ4aFi+pVM8+8qpKaxp3N7KopvRV5RSUKi7j/2jh5KvV3u2dYtQ+7S7NtwahPtNba/epximdRTVla/X8slLpsklaPGe4EviUOwmxgwACCCAQ3gJm6EnjB8Nx48ZZ5zWiN0F4ty2lR6C5Aqbn4bx585wuN/OaEUR2ImEHgWYJ8DjZLDYuQsBPgZhEjchfoafG9pIOLNSEaUu0tby6PhNLhUpLCpQ99nlp7CK98/SdSm3v7aNpglBL9GZ2Px0rmKrsxR+pwhqDqlb5liXKHpWjj/vN1puFM5Uef46fBSU5AggggAACoSlgWyHNceiJKen999+niRMnMPwkNJuNUiEQdAHzu8EMVT1x4qT9XjNn/p55zewabCDQMoF2LbucqxFAwGeB9qka8firujzjff155ULdM2Rhw6XxGpw1Tbeu3KLhafG+DSWLidc1U5do44DNer94gQZ022vNKy5jquYu3aiF6Skeeir5XFoSIoAAAgggEDICthXSHFdDMoUzPQn69OkTMuWkIAgg0LoCtt8NjgEj0/Nw+PDhrVsQ7oZABAsQNIrgxqVqoSjQQSnpYzTN/LS4eOcoPm24xpufx1ucGRkggAACCCAQkgK2Ca8dHwrN5LYLFixQt27dQrLMFAoBBFpHIDc312n1RDO3mel5yD8EEAicAEGjwFmSEwIIIIAAAggggEAABcyE143nLzIPhWYoCnOVBBCarBAIQ4HCwhUuASMTROIfAggEVoCgUWA9yQ0BBBBAAAEEEEAgAAJmwuvG8xcNGZKh7Oxs5i8KgC9ZIBDOAiZgVFRUZK+C6X1oAkZMhm8nYQOBgAkQNAoYJRkhgAACCCCAAAIItFTAzFGycOFCbdq02SkrM08Jw06cSNhBICoFtm/f7hIwKigoIGAUle8GKt0aAgSNWkOZeyCAAAIIIIAAAgg0KWDmL5o7d67Kyr50SsuE104c7CAQtQJmyGpu7lx7/U0PIxMwYriqnYQNBAIuQNAo4KRkiAACCCCAAAIIIOCvgHkYzM/Pd1o2mwdCfxVJj0DkCrib42zmzJkEjCK3yalZiAgQNAqRhqAYCCCAAAIIIIBAtAq4m7/ITHjNHCXR+o6g3gg4Cxw6dMhlUnx6IDobsYdAsAQIGgVLlnwRQAABBBBAAAEEvAowf5FXHk4igIAkM2z1oYcecrLIzZ2jPn36OB1jBwEEgiNA0Cg4ruSKAAIIIIAAAggg4EXAPAhmZWU5DUczyek94AWNUwhEmYC73xNmUvyBAwdGmQTVRaDtBGLa7tbcGQEEEEAAAQQQQCAaBczqR3fe+RungJGZv+j111+j90A0viGoMwJuBDwFjFhF0Q0WhxAIogA9jYKIS9YIIIAAAggggAACZwXMcLRly5aruLj47EFJQ4ZkKDs7myWznVTYQSB6BQgYRW/bU/PQEyBoFHptQokQQAABBBBAAIGIEzAPgXPnzlVZ2ZdOdbv//vs0ZswYp2PsIIBA9AoQMIretqfmoSlA0Cg024VSIYAAAggggAACESNglsrOz893GY722GOPqUePHhFTTyqCAAItEzC9EU1w+cSJk/aMTE9EhqTZOdhAoNUFCBq1Ojk3RAABBBBAAAEEokPA03C0vn1/qdmzZ6tTp07RAUEtEUCgSQHz+yI3N9epN6L5XWGGrvIPAQTaToCgUdvZc2cEEEAAAQQQQCBiBTwNRzMrH9FrIGKbnYoh0CwBW8Bo166/2q83ASMTRIqNjbUfYwMBBFpfgKBR65tzRwQQQAABBBBAIKIFzOpoublznepoVkdjOJoTCTsIICCJgBFvAwRCW4CgUWi3D6VDAAEEEEAAAQTCRoDhaGHTVBQUgZAQqKysVF5enuhhFBLNQSEQcCtA0MgtCwcRQAABBBBAAAEE/BE4dOiQHnroIacJbM31rI7mjyJpEYgeAXerpDEkLXran5qGjwBBo/BpK0qKAAIIIIAAAgiEpMCqVau0dOlzTmVjOJoTBzsIIOAgQMDIAYNNBEJcgKBRiDcQxUMAAQQQQAABBEJVwDz4FRQUOA0tMWU1S2SbFY+YwDZUW45yIdB2AgSM2s6eOyPQHIGY5lzENQggEEiBMzpeMl29uiYp+apFKq3zNW+Lasp36N1Fk+uvNddfPllPl5SqwuJrHqRDAAEEEECgeQJmsuusrCyXgNHMmb/Xww8/TMCoeaxchUBECxAwiujmpXIRKkDQKEIblmqFj4Dl+Do9/nCJav0qcrXKS+bq10Pu0/Lvb9I7+7/SwSNfac/q26S1D2jATU9oW8UZv3IkMQIIIIAAAr4K/M///I91dbQTJ07aL0lNvVSvv/6ahg8fbj/GBgIIIGATcBcwGjdunHJzcwky25B4RSAEBRieFoKNQpGiSMByVGvm52mjXxGjapWtmK0xuRukYYu0Yd5IJTSEf9unDNHUef/SlxnTNWmitLxwptLjz4kiUKqKAAIIINAaAps2bXa6jZns+pZbbuHBz0mFHQQQsAns3r1b+fn5ThPlm4DRxIkTbEl4RQCBEBWgp1GINgzFigYBi6p3vKSc9RV+VNaimtJXlJ27QbXqrxnZQ+0BI1smMQlDNX1Wf+nAck2du07HGapmo+EVAQQQQKCZAqdPn9YzzzzrcrWZ7PqZZxZrzJgxBIxcdDiAAAJGwASMZs2aTcCItwMCYSpA0ChMG45iR4BAzad6OW+Nuo/9ta73tTqWcr0z93mVmfS9M9Sve6ybK2PVvX+GekqqXZ+nx987KuJGbpg4hAACCCDgk8D+/ftlegQUFxc7pc/MzFRRUZF69OjhdJwdBBBAwCZgCxjZ9s0rPYwcNdhGIPQFCBqFfhtRwogUqFLpsgV6VhOVM/6X8m2cqOmZ9Lqe+tyMZYtTz1HXqbuHT3BMUi8N7GTgKrSxcKu+ImoUke8iKoUAAggEU8DWu+jBB6c69RAw98zNnaMHH5xC76JgNgB5IxDmAqtWrbL2MHKshpkonyFpjiJsIxD6Ah4eOUO/4JQQgfAVMEPMXlVOgTTlibuUdq6vH8MfVLp5W8OE2Z3Vo+v58nhlu0RdeVNiPdHnhSracXai0vB1o+QIIIAAAq0l4Kl3ke3+AwcOtG3yigACCLgIFBau0NKlzzkdf/LJPCbKdxJhB4HwEPD4zBkexaeUCIShQM2nWv5IoZT1kCaldfS9AtX7taX4aEP6i5V8UXsv18aqw/k/azh/UvuPfM8QNS9anEIAAQQQqBfw1LvIzF1kehfxDwEEEPAmYH6HmNUVzdBVx38mYNSnTx/HQ2wjgECYCPg2KiZMKkMxEQh9gbPD0t6afLW8hX0a16Xu4Gdab19l7Tx1PNfbxzdWCUnJkg6YmY20b+cBfTchVfGNM2UfAQQQQACBBgHTu2jevHkuQ9GGDMnQfffdp06drOOe8UIAAQTcCpiAUW5urnbt+qv9vAk4L1iwQN26dbMfYwMBBMJLwNtTZ3jVhNIiEPICDsPSiu9SWnt/OvrV6eTRw6qy1bFTki7u7MfH99PDOl4nxftxie1WvCKAAAIIRLZAZWWlVq58zWWia/Ow98ADD4ihaJHd/tQOgUAIfPPNN5o7d67Kyr60Z2d+hxQUFKhLly72Y2wggED4CfAIGX5tRonDVcA+LO0F/4alWetbp1NVP/hR83bqnJgkM/jNGmiqPKxjJ+uURtTID0OSIoAAApEvsH37di1ZsoTeRZHf1NQQgaAJHDp0SA899JDT75G+fX+p2bNn00MxaOpkjEDrCRA0aj1r7hTVAs0fllbPVqdTlQ5Bo8RO8nn+7Kh2p/IIIIAAAu4ETK+AwsJCbdq02ek0vYucONhBAAEfBO6+e5JTKhMwMsPUYmNjnY6zgwAC4SlA0Cg8241Sh5VAS4aleajoBR0JGnmg4TACCCCAgHeBdevWKT//jy6JMjMzNXbsb+gZ4CLDAQQQ8FVg3LhxuuOO2wkY+QpGOgTCQODffvzxxx/DoJwUEYHwFajZrafH/E6bbnxBf5rex3Xy64oS3XPtdG01New0VW/tnq40l3BujUoX3abbCszE1pIyFmnn8pFeJra2qHrbXA2YUKT6ubNv0VMfL9QIL8PTBg0aXJ83/0UAAQQQQAABBBBAAAEEEAgJgQ8+sD4ptllZXB5N26wk3BiBiBRo6bA0DygnqnTKIsV7nEvbotqqyoaAkaS4TvqPOI+JPdyEwwgggAACCCCAAAIIIIAAAtEsQNAomlufugdZIJDD0mKVkJQsqaGn0dFKa9BIvsaBftpRHZoIGnmKYCd3TbI6HTxyOMheLc/e1lvKU11afofA5RBOZTW1DqfyUtbAvU8b54RtY5HA7AfT1dNE16mpl2rWrFl+L4MdzLIGRtM5l3AqL2V1brtA7mEbGE0zF1pWVpbThNcm55deWu7375LAlMi/XHgf+Ofla+pwcjV1Cqfy2srqa1sEKx1Bo2DJki8ClnK9M7dQymrOammN+Rqthtb4tMt+o9XWrk5SAp92FyUOIIAAApEqYFYzevHFF7Vr11+dqmgmup4wYYKGDx/udJwdBBBAwJvA7t27NWvWbLdJunXr5vY4BxFAIDIEeIyMjHakFiEoULdnnZ75vFJVn9+mKwt8LGDlYt2WvLgh8WWaUvyWpqW1t+63S75Kw+KkN8wkRZWHdexkndI8zlHkuNpanHoOuEwX+lgEkiGAAAIIhK/A6dOn9cYbb6qoqMilEkOGZOi+++5jomsXGQ4ggIA3gVWrVmnp0ueckpjfJ41XX3RKwA4CCESMAEGjiGlKKhLxAh166IbMRL2x8qikgzp8/LQUXx9Qcq17lY59UdFw+CqN7H+JzyPZXPPiCAIIIIBAOAh4G4o2ZcoU9ejRIxyqQRkRQCBEBEwQeuHChS7Bofvvv09jxoxxOR4ixaYYCCAQYAGCRgEGJTsEbALt0qbrkyPTbbueX31aPc1cfp7SMtIVt9KsiPa1tu/9p6ampboPBlUf1CcfVtbfs3eG+nWP9Xx/ziCAAAIIhLWAGYr25JNPqqzsS5d6zJz5ew0ePJjlr11kOIAAAt4EPM1f9OSTeerTp4+3SzmHAAIRJuDrNLoRVm2qg0A4CsSow/V3akbvOEm12rfzgL7zUA3Lt0e03wxjU7xunDhY3fmke5DiMAIIIBC+ApWVlXrmmWd1992TXAJGZuhIcfE71rmLYmP54iB8W5mSI9D6Amb+ojvv/I3ThNdmPrTXX3+NgFHrNwd3RKDNBehp1OZNQAEQ8EMgJkWj59yrtzIXqmzz23q/fKjGpzR+GKjSnrVrtE9S3LDZevTWRPe9kfy4LUkRQAABBEJHwAwZ2bp1q/Lz/+hSKLMqGkPRXFg4gAACPgh4mhOtb99fKjc3lx6LPhiSBIFIFCBoFImtSp0iWCBG7dPu0vysbbqt4DO9tXafRk/vo7MzG1lUU7ZWzy8rlS6bpMVzhiuBXkYR/H6gagggEG0CpgdAfn6+Uw8AY2BbFY2haNH2jqC+CARGwAxHKygocFlx0TZ/UWDuQi4IIBCOAgSNwrHVKHOUC3RUWtYSvfmTHP124VRl/2Sh5k25TvEx1Srf8oryH1yoj/vN1puP/1bXxJ8T5VZUHwEEEIgMAW/zFo0bN04jR45gVbTIaGpqgUCrC7gLRptA9MyZMxmO1uqtwQ0RCD0Bgkah1yaUCIGmBWLidc3UJdo4YLPeL16gAd32Wq+Jy5iquUs3amF6ikPvo6azIwUCCCCAQGgKmG//CwsL3a5SZOYtuv3229WtW7fQLDylQgCBkBYww9HWrFmjpUufcyqnGY6WlZWlLl26OB1nBwEEolOAoFF0tju1DiWB+JF68cjIZpToHMWnDdd48/N4My7nEgQQQACBkBUwk1yXlKxWUVGRSxnNvEV33303PQBcZDiAAAK+CngajmZ6Lt5xx+3MX+QrJOkQiAIBgkZR0MhUEQEEEEAAAQTCQ8DbJNfMWxQebUgpEQh1AXfD0UyZc3PnaODAgaFefMqHAAKtLEDQqJXBuR0CCCCAAAIIIOBOYN26dVqxYoXLJNcmLd/+uxPjGAII+CNggtLLli1XcXGx02Wm9+KcOXMYjuakwg4CCNgECBrZJHhFAAEEEEAAAQTaUCA//48udzfzFt13331Mcu0iwwEEEPBHwNNk+gSk/VEkLQLRKUDQKDrbnVojgAACCCCAQBsLmCEiL730kttSMMm1WxYOIoBAMwRML8bGQWlWR2sGJJcgEKUCBI2itOGpNgIIIIAAAgi0jYAtWFRW9qVLAcwwkSlTpqhHjx4u5ziAAAII+CPgabJrszra7Nmz6cHoDyZpEYhiAYJGUdz4VB0BBBBAAAEEWk/ADA958cUXtWvXX93e9Mkn81gRza0MBxFAwF+B7du3a8mSJS5zpM2c+XsNHz7c3+xIjwACUSxA0CiKG5+qI4AAAggggEDwBUyw6M0339SmTZtdbmaGiJw4cdJ6vE+fPi7nOYAAAgj4I1BZWannnnvO5feN6cU4a9YsdevWzZ/sSIsAAgiIoBFvAgQQQAABBDexqSMAACAASURBVBBAIAgCTQWLJkyYoMGDB2vYML71DwI/WSIQdQKeehcx2XXUvRWoMAIBFSBoFFBOMkMAAQQQQACBaBfwNmeR6VlkCxbFxsZGOxX1RwCBAAh46l1kft889thjzJEWAGOyQCCaBQgaRXPrU3cEEEAAAQQQCJgAwaKAUZIRAgj4KOCpd1FmZqYmT54kgtM+QpIMAQQ8ChA08kjDCQQQQAABBBBAoGkBgkVNG5ECAQQCK0DvosB6khsCCHgWIGjk2YYzCCCAAAIIIICAW4HTp09r69ateu+991RW9qVLGoahuZBwAAEEAiSwbt065ef/0SU3ehe5kHAAAQQCIEDQKACIZIEAAggggAAC0SFgCxatWLHCvuqZY83NCkW33nqrdYJrhoU4yrCNAAItFTCT67/44ovateuvTlkxd5ETBzsIIBBgAYJGAQYlOwQQQAABBBCIPAEzFKSkZLWKiorcVs4Ei+6++2716dPH7XkOIoAAAs0VMMHqNWvWaOnS51yyYGU0FxIOIIBAgAUIGgUYlOwQQAABBBBAIHIEzDf7f/7zOhUXF7utFMEitywcRACBAAmYOdPy8/Ndejaa3z2zZs1St27dAnQnskEAAQTcCxA0cu/CUQQQQAABBBCIYgHzoPbOO++4DAOxkQwZkqHbb7+dBzYbCK8IIBBQgW+++UaFhYXatGmzS74zZ/6eIbAuKhxAAIFgCRA0CpYs+SKAAAIIIIBAWAnY5ivyNLm1qYwZCjJw4PUEi8KqZSksAuEncOedv3EptAlWT5w4UV26dHE5xwEEEEAgWAIEjYIlS74IIIAAAgggEBYC5hv9DRve1/r161yGgJgKmElmhw0brpEjR6hTp05hUScKiQAC4Sdgeji6+2d+B82cOZM509zhcAwBBIIuQNAo6MTcAAGbQLXKt23Vh5sLNX/l3oaDcUodO0P3ZPxKN6SnqL0tqU+vFtWU79Smta9qTsFm1Zpr4jI05X/u0+23pik+xqdMSIQAAghErYB5QNu0aZPb4R8GhZXQovatQcURaFUBT6uimULcf/99uuWWW8RqjK3aJNwMAQQcBAgaOWCwiUDQBGq+0CvTJmn+5opGt6hV2cr5mrHSxHtm6+XHf6tr4s9plMbdbrXKS57StGlvS2Of0Dv7X1BKe6mmfIuW5z2gAS/crOWFM5XuU17u8ucYAgggEJkCZhW0jz76SN6GoJkhIEOGDOFb/ch8C1ArBEJGwPw+WrnyNbcT7TMULWSaiYIgEPUCBI2i/i0AQNAFLEe1eqa7gJHznWs35+n2f/4/vbXqAaW199ZNqFplK2ZrTO4GadgibZg3UgkNydunDNHUef/SlxnTNWmiCBw5E7OHAAJRLGC+yd++fYeKioo8KjBfkUcaTiCAQAAFbPOn5ef/0WOuDz/8sMdznEAAAQRaU4CgUWtqc68oFDij4+8tUs76CsVlTNXcsTdriG0YmqVCpe+9oecfXqyt1rFlkg48r5xl1+pP0/t4GKpmUU3pK8rO3aBa9VdO9lB7wMiGG5MwVNNnva2Nucs1de4V2rDkbFDJloZXBBBAIFoEtm/frjfeeENlZV+6rbJtCNp1113HfEVuhTiIAAKBFDC/k5YsWeJ2/jSzKpq3QFIgy0FeCCCAgK8CBI18lSIdAs0RsBzWpsJSXZu7VgsnXOEcCIqJV9rI6Xr+2l6aN3GqVh4wkaNalS1bq0/uvlrpHdz0NrKU6525z6vMlKV3hvp1j3VTqlh175+hnvqL9q3P0+PvpenZkYlyk5ubazmEAAIIhL+A6VVk+5ebO9e26fTKEDQnDnYQQCDIAmYOtZdeesltADszM1Njx/7GGrgmaBTkhiB7BBDwW4Cgkd9kXICA7wKWrz7S2oTpKhjXKGDkkEVM/CD9/ol7tTtzYX0wqHabtpQ+qPT0zg6pzKZF1Tte11Ofm+BSnHqOuk7dPUSCYpJ6aWAnaV9lhTYWbtVXt05Qioe0jW7CLgIIIBCWAma4x65du7z2KrKtgjZ06H+xZHVYtjKFRiD8BLxNcm2C17fffru6desWfhWjxAggEDUCBI2ipqmpaOsL1Om7Lyp1c/btLkPInMsSo/ZX3qjbej+v+daA0Cl9W3XaOYl17weVbt5Wv0qaOqtH1/M99x5ql6grb0qUVh6VPi9U0Y6bNd8lCOXmFhxCAAEEwkxg//79+uCDbW4nkrVVpW/fX2r06NHq2bMnKxDZUHhFAIGgCphg0Ztvvul2dUYzLPbuu+9msv2gtgCZI4BAoAQIGgVKknwQcBFop/iR0zXe5bibAzEXqWf6JdLnByTF6/LEjq6JqvdrS/HRhuMXK/mi9q5p7Edi1eH8nzXsndT+I9/Los6eg0z269hAAAEEQl/gm2++0c6dO7Vq1Sq384I41uD111+jV5EjCNsIIBBUAW/BItPb8YEHHtDAgQODWgYyRwABBAIpQNAokJrkhUBABJKVlOA6V1Hdwc+03jZhts5Tx3O9fXxjlZCUbGbWts6TtG/nAX03IVXxASkfmSCAAAKtL2CWpt67d6/Wr1+vXbv+6rEAtl5Fs2bNtqbp0qWLx7ScQAABBAIl0FSwaMKECRo8eDC9HQMFTj4IINBqAt6eOlutENwIAQSqdOyLinqG3mm6/MLGH806nTx6WFU2qE5Jurhz4zS2k25ePz2s43VSvB+XuMmFQwgggECrCph5ivbt26ePP97ldfiZ+fZ+zJgxysjIYAW0Vm0hboYAAt6CRUbHrIhGsIj3CQIIhLMAj5Dh3HqUPXIEqg/qkw8rJSXqjuk3u5m0uk6nqn7wo77t1DkxSWaQmzXQVHlYx07WKY2okR+GJEUAgbYSMPMU7d79idavX+d1+JlZcWjQoHT16NGjrYrKfRFAIEoFmgoWjRs3TiNHjiCQHaXvD6qNQCQJEDSKpNakLmEqYFF16QdabYae9Z6ocdc3XjXNVKtOpyodgkaJnXQuq6GFaXtTbAQQcCdgHsC2b9/RZKDIDD8bNmyY+vbtyzAPd5AcQwCBoAoQLAoqL5kjgEAICvzbjz/++GMIlosiIRA9ApajWv3ArzVjfYKmFL+kaWluJsFWjUoX3abbCswcRZIyFmnn8pFe5yiqK12kazMXNwxpu0VPfbxQI7z0NBo0aHD0mFNTBBBAAAEEEEAAAQQQQCAMBD74YGublpKeRm3Kz80RsKh6x0vKWV+t1KzFmuQ2YNQcJYtqq6t0pjmXcg0CCCCAAAIIIIAAAggggAACkgga8TZAoC0Faj7Vy3lvS8Oe0LKsPmrva1lOVOmURYr3OETNotqqStkXW4vrpP+I85jYeldPEezkrknW8wePHPa1dG2WztZbylNd2qxgbm4cTmU1xQ+n8lJWN2+4AB1qrq2vcxSZCa2HDRuuPn2uafE8Rc0ta4Co/MqGsvrF5VdibP3i8jlxOLmaSvlbXrNa40cffaQVK1a4nVfN/K4K1mpo/pbV50YLQsJwKmtz3gdBIPM5y3CyDaeyhuv7wOc3TpASEjQKEizZItCkgBmWNnOqntW9eiv/ViV4jenEKiEpWVLD8LSjldagkbxe41CCn3ZUhyaCRg6p2UQAAQRaJGBWPTt48KBPk1kHMlDUokJzMQIIRL3AN998ow0b3ldRUZFbi2AGi9zekIMIIIBACAgQNAqBRqAI0ShQrbKiPyjnyM1aXvg7pbVvKvrTaDW0JskarbZ2dZIS+LQ3qUYCBBBovoD5Zt4Eij7+eJeKi4u9ZkSgyCsPJxFAoJUFdu/erU2bNmnTps1u75yaeqnuvvtu9enTx+15DiKAAAKRLMBjZCS3LnULUYEzqtj2jLKflGa8+6DS48/xqZztkq/SsDjpDTPmrPKwjp2sU5rHia0dV1uLU88Bl+lCn+5CIgQQQMB3AfOt/GeffaYdO3Zo166/er2QQJFXHk4igEArC9iGoL333nsqK/vS7d2HDMnQrbfe2uLhsm4z5yACCCAQJgIEjcKkoShmpAhYVFP2lh6b/g/d9m6exqd28L1iHXrohsxEvbHyqKSDOnz8tBTvaRakKh37oqIh76s0sv8lPo9k871ApEQAgWgVKCxcoV27Pvb4oGVzMd/O9+17bUDmKLLlySsCCCDQEgEzx9oHH2zz2iNy3LhxGjr0v9SlS5eW3IprEUAAgYgQIGgUEc1IJcJDwASMXlf2qFVKWPqc7vInYGSt4HlKy0hX3Moi1eprbd/7T01NS3UfDKo+qE8+rKxn6Z2hft1jw4OIUiKAQMgJ2HoT7dmzx142T/N9mAR9+/5SV199tQYMGMADl12MDQQQCAWBe++912Ow2wS5Ta+iwYMHKzaW/28KhfaiDAggEBoCBI1Cox0oRcQLOAeMHktPcB/ssTnU7NYzy/4/jZ9+vc72RYpRh+vv1Izeb2v+57Xat/OAvpuQqnjbNQ6vlm+PaL916bR43ThxsLo3NWWSw7VsIoBAdAvY5ibav/8LrV+/zu3KQY2FMjMz1atXT/Xq1UudOnVqfJp9BBBAoE0EbL2KbDd3NwzNDEEbMmQI8xXZkHhFAAEEGgkQNGoEwi4CgRfwJ2B0RhWlb2vJI4XS7DccAkYNpYpJ0eg59+qtzIUq2/y23i8fqvEpjb8Nq9KetWu0T1LcsNl69NZE7wGqwFeYHBFAIIwEbCudHThwQFu2bPH4LbxjlRyHnSUnJ/OtvCMO2wgg0KYCpnfkzp07tWrVKo9BbzPH2pgxY5SRkUGgu01bi5sjgEA4CBA0CodWooxhLGALGOVoq+n5M6G/VvpSm7hxWp52npuUMWqfdpfmZ23TbQWf6a21+zR6eh+dndnI3G+tnl9WKl02SYvnDFcCvYzcOHIIgegVcAwSffrpp01OYG2TMt/G21YWev75522HeUUAAQTaXMD0kNy7d6/Wr1/v9XearVdRz549CXa3eatRAAQQCBcBgkbh0lKUMwwFzqhi98t6bHxefcDIjxrEZQ5SWgdP0Z6OSstaojd/kqPfLpyq7J8s1Lwp1yk+plrlW15R/oML9XG/2Xrz8d/qGh9XZvOjaCRFAIEwE2hukMg2N9Fll11mXznIFjQKMwKKiwACEShgfrft27dPmzZtsge03VXT9Co6ceKk9dTDDz/sLgnHEEAAAQS8CBA08oLDKQRaJFCxTo+NydNWvzNJ1IiMHq5D0xzziYnXNVOXaOOAzXq/eIEGdNtrPRuXMVVzl27UwvQUh95HjheyjQACkS5ghmb84x//kJmTyJcVzmwetiFnPXpcITPkjLmJbDK8IoBAqAjYAkUff7zL6+pnprxmrrVBg9KtQe9BgwaHShUoBwIIIBB2AgSNwq7JKHDYCMSP1ItHRgaxuOcoPm24xpufx4N4G7JGAIGQFTAPUMePH9ff//53mdXNzI/tG/WmCm2+ff/Vr65nAuumoDiPAAJtKuBPoMj0kBw9erQYftamTcbNEUAgwgQIGkVYg1IdBBBAAIHIFTh06JCOHTumQ4cO+9WLyIg49iT6z//8T3Xp0iVyoagZAgiEtYBtjqK//OUvXoeemUqa32133HEHqzeGdYtTeAQQCGUBgkah3DqUDQEEEEAgagUcA0RlZX/3OrmrOyTbnERdu3ZluJk7II4hgEBICdhWPfNlgn4TKLrhhhs0YMAAAuAh1YoUBgEEIlGAoFEktip1QgABBBAIK4H9+/fr6NGj+uqrQ/rii/0+LXvvWEEz1OzKK6+0/vziF79QQkICKwM5ArGNAAIhJ2AbdmbmX1u/fl2TQ2sJFIVcE1IgBBCIEgGCRlHS0FQTAQQQQKBtBcxwC/Nj5h/69tvv9M03x+0FevDBqfZtXzbMstEpKSkyvYgYauaLGGkQQCAUBEwPStOTyJfeRKa8psfksGHDGHoWCo1HGRBAIGoFCBpFbdNTcQQQQACBQAvYJqb+/vvvdeLECWvPoVOnqpuck8NbOWwBogsvvFCXXnopQzG8YXEOAQRCSsAEiWwT9W/atNmnsplVz669ti/Dan3SIhECCCAQfAGCRsE35g4IIIAAAhEkYB6CzD8zIfW//vWvgASGTH6OQ8wuuOACehBF0HuGqiAQDQImaH7w4EHrUFuzkqOvQSLbsLPLLrtMPXr0iAYq6ogAAgiElQBBo7BqLgqLAAIIIBAMAVsPIZN3bW2t9aHHbNuGkVVXV/s9EbW3cpreQ126JKioqMiazMznERsb6+0SziGAAAIhJ7B9+3brao7+TNZvAuS/+tX19CYKudakQAgggIB7AYJG7l04igACCCAQ4QKDBg0Oag3Nt+eJiYnWuYfM0LKLL77YZYJqW9CIgFFQm4LMEUCghQK21Ry/++47lZeX23PLzZ1r3/a0YQsS9erVkyG2npA4jgACCISwAEGjEG4cioYAAgggENoCpseQ+WdWLjP/zMpl//7v/868Q1YN/oMAAuEkYOtxaZuTzQwxM6s6lpV96Vc1CBL5xUViBBBAIOQFCBqFfBNRQAQQQACB1hawzS9k7muGkf385xfqZz/7mbW3kDnWrVu31i4S90MAAQRaLGCbk81MTm3+ffXVIbV0sn6zwtnVV19tXc0xOTlZnTp1anE5yQABBBBAIHQECBqFTltQEgQQQACBVhSYOfP31p5BtlvSQ8gmwSsCCESqwN13T2pR1UyAKDX1F/b52D74YGuL8uNiBBBAAIHQFyBoFPptRAkRQAABBIIgMHz48CDkSpYIIIBA+AuY4NBFF/2nunfvZp2b7fzzz3cadmubjy38a0oNEEAAAQSaEiBo1JQQ5xFAAAEEEEAAAQQQiCABxyG4zMkWQQ1LVRBAAIEgCBA0CgIqWSKAAAIIIIAAAgggEGoCDCcLtRahPAgggEDoC8SEfhEpIQIIIIAAAggggAACCCCAAAIIIIBAawsQNGptce6HAAIIIIAAAggggAACCCCAAAIIhIEAQaMwaCSKiAACCCCAAAIIIIAAAggggAACCLS2AEGj1hbnfggggAACCCCAAAIIIIAAAggggEAYCBA0CoNGoogIuBewqKZ8h95dNFm9uiYp2fxcPllPl5SqwuL+Co4igAACCCCAAAIIIIAAAggg4KsAQSNfpUiHQEgJVKu8ZK5+PeQ+Lf/+Jr2z/ysdPPKV9qy+TVr7gAbc9IS2VZwJqRJTGAQQQAABBBBAAAEEEEAAgfASIGgUXu1FaRGQVK2yFbM1elqRjg17QsvmjVRKe/NRjlH7lCGaOm+2bvx6uSZNzCdwxPsFAQQQQAABBBBAAAEEEECg2QIEjZpNx4UItIWARTWlryg7d4Nq1V8zsocqodGnOCZhqKbP6i8dWK6pc9fpOEPV2qKhuCcCCCCAAAIIIIAAAgggEPYCjR43w74+VACByBawlOuduc+rzNSyd4b6dY91U99Yde+foZ6Satfn6fH3joq4kRsmDiGAAAIIIIAAAggggAACCHgVIGjklYeTCISSgEXVO17XU5/XSopTz1HXqbuHT3BMUi8N7GTKXqGNhVv1FVGjUGpIyoIAAggggAACCCCAAAIIhIWAh0fOsCg7hUQgygR+UOnmbTIhI6mzenQ9Xx4/wO0SdeVNifU+nxeqaMfJKLOiuggggAACCCCAAAIIIIAAAi0V8PjM2dKMuR4BBAIsUL1fW4qPNmR6sZIvau/lBrHqcP7PGs6f1P4j3zNEzYsWpxBAAAEEEEAAAQQQQAABBFwFCBq5mnAEgZAUqDv4mdbXdzOSdJ46ntvOSzljlZCU3HC+Vvt2HtB3XlJzCgEEEEAAAQQQQAABBBBAAIHGAgSNGouwj0BICtTp5NHDqrKVrVOSLu7sLWhkS9jw+ulhHa9rdIxdBBBAAAEEEEAAAQQQQAABBLwIEDTygsMpBEJHoE6nqn7wozjt1DkxSR1tV1Qe1rGTRI1sHLwigAACCCCAAAIIIIAAAgg0LeBHV4WmMyMFAggES6BOpyodgkaJnXRugEO+yV2TvBa+qfNeL27lk5Q1eODYBsc2nFyNQDiVl7Lyng2X9+zFSfV/h8PhPRtOZTXtH07lpayB/51lM7XlPGjQYNtmyL9S1uA1UTjZBk/Bt5wD/Njp201JhQACLRS4oGPAg0YtLBGXI4AAAggggAACCCCAAAIIRJgAPY0irEGpDgL1AhbVVlfpjB8cB48cdpva9o2np/NuL2qjg7ZvDD74YGsblcD324ZTWU2twqm8lNX396G/KbH1V8y39Lj65tScVOFoG05/b8OhrOZ9Y3sfhEN5KWtzPum+XWOz5f8TffPyNVU4uZo6hVN5bWX1tS2ClY6eRsGSJV8EgilwokqnLN5uYFFtVaXsi63FddJ/xPFx9ybGOQQQQAABBBBAAAEEEEAAAWcBniKdPdhDIEQFYpWQlHy2bEcrmwganU1q3fppR3UgaNQIhV0EEEAAAQQQQAABBBBAAAFvAgSNvOlwDoGQEWi0GlqT5Wq02trVSUpgMGqTaiRAAAEEEEAAAQQQQAABBBA4K0DQ6KwFWwiEtEC75Ks0LK6hiJWHdexknZfyOq62FqeeAy7ThV5ScwoBBBBAAAEEEEAAAQQQQACBxgIEjRqLsI9AqAp06KEbMhMbSndQh4+f9lLSKh37oqLh/FUa2f8S8WH3wsUpBBBAAAEEEEAAAQQQQAABFwGeI11IOIBAqAqcp7SMdNV3Nvpa2/f+Ux7nwq4+qE8+rKyvSO8M9eseG6qVolwIIIAAAggggAACCCCAAAIhKkDQKEQbhmIh4CoQow7X36kZvU3YqFb7dh7Qd66JrEcs3x7RfuvSafG6ceJgdeeT7kGKwwgggAACCCCAAAIIIIAAAp4EeJT0JMNxBEJRICZFo+fcq1RTts1v6/1yd0PUqrRn7RrtkxQ3bLYevTWRoWmh2JaUCQEEEEAAAQQQQAABBBAIcYF/+/HHH38M8TJSPAQQcBKoUumiu3Vbwd+VmrVCf5reR+3t5y2qKXtd2aNytPWSSVpeOFPp8efYz7KBAAIIIIAAAggggAACCCCAgK8C9DTyVYp0CISMQEelZS3Rm9n9dKxgqrIXf6QK6+RG1SrfssQaMPq432y9ScAoZFqMgiCAAAIIIIAAAggggAAC4ShAT6NwbDXKjIBV4IwqSjfr/eIXNH/lXuuRuIypmjv2Zg1JT3HofQQXAggggAACCCCAAAIIIIAAAv4LEDTy34wrEEAAAQQQQAABBBBAAAEEEEAAgYgXYHhaxDcxFUQAAQQQQAABBBBAAAEEEEAAAQT8FyBo5L8ZVyCAAAIIIIAAAggggAACCCCAAAIRL0DQKOKbmAoigAACCCCAAAIIIIAAAggggAAC/gsQNPLfjCsQiEIBM+n2Bq0ueVk5w65QctckJXdN0z0l/4hCC6qMQAsEasq1zelzZD5L1+meRX/S6m3lqmlB1lyKQPQIVKt8W4leeXSEkq9apNI6f2tuUU35Dr27aLJ6Wf+eJSn58sl6uqS0YTVSf/MjPQKRJtCSz5jDtbbPV9crdNOjL/N3LtLeJtSnBQIOn5Nm/R1zd+szOl4yvf7vWsDyrL9PO3e34xgCCCBQL2CCRW9rySNP6I0DtVJchqY8/oSeOu8K3cAKbbxJEPBD4Iwqdr+sx8bn6eN+UzX/iS2amxYv6zc3JpD09ivKnzBPL459Qk8/dKtS2vOdjh+4JI0KAfM/2Nu1/7P3NKdgs2ptde6Ubtvy8bVa5SVPadq0t6WxT+id/S8opb1UU75Fy/Me0IAXbtbywplKjz/Hx/xIhkCkCATgM1bzhV6ZNknzN1c0QqlV2cr5mrHS/K/kbL38+G91DZ+xRkbsRr5AAD5jXpAsx9fp8YdLzv599JLW31P8X6m/YqRHIFoEasq0+tExGpD5iN44kKw75r+lnfuXaVrmSI0gYBQt7wLqGRABi2pKX9DdY0zAaL5WPZ2lEbaAkcm/fYrSJzymZU/fqGMrp2v0zPd03BKQG5MJAhEiUKeKkmdUdOT/KSYpQ7/NiG9mvapVtmK2Rk8r0rFhT2jZvJENAdoYtU8ZoqnzZuvGr5dr0sR8bas408x7cBkC4SgQgM+Y5ahWz3QXMHL2qN2cp9snvqDSGv7QOcuwF9kCAfiMeQOyHNWa+XnaaP9GxVti/8/R08h/M65AIOIFLBUfacmj2Sow3xTFDVXOu3kan9oh4utNBREIioClXO/MfV5lStQdY4cq1W0vonOUcOu9mlG4UfPXL9JzOwZofnrnoBSHTBEIP4F2ih/5iOY3FLwu8bhWbl6sKr8qYoK3ryg7d4Nq1V852UOV0Oir05iEoZo+621tzF2uqXOv0IYlI13S+HVLEiMQNgIt/Yyd0fH3FilnfYXiMqZq7tibNcT2BaOlQqXvvaHnH16srbYH2gPPK2fZtfrT9D5qHzZGFBSBlgi09DPm7d4WVe94yfr585aqJeca/blsSVZciwACkSBgqdiieRMnETCKhMakDiEhULdnnZ753Pyfcm9d84uOnssU8zN1vOCnko5q9eb9qvackjMIRLVAu4QkpfkrYA/emo9ihvp1j3WTQ6y6989QT0m16/P0+HtHRV8IN0wcingBvz9jlsPaVFiqa3PX6sPl0zXKFjAyUjHxShs5Xc9vXa6xl8U12NWqbNlafVLNJyzi30xU0K2A358xt7k0HKz5VC/nrVH3sb/W9d7SteAcQaMW4HEpAhEnULNbiydO1Uozf5HSNGXlH+hhFHGNTIVaV6BOJ48ebugR8YOqTvk2Y29tRVVQxqS3bt25GwKhImC+hX1dT1mDt3HqOeo6dffwf8AxSb00sJMpd4U2Fm7VVzzThkojUo4QFrB89ZHWJkxX7rgrPPYciokfpN8/ca9SbfWo3aYtpT/Y9nhFAIFmCVSpdNkCPauJyhn/SwVrGJmHP5nNKjEXIYBAWAs0/NKxBozilJr1kCaleekVEdZ1pfAItJZAjOI6dlL9d6uf6a21+zyvkGb5l6pO/K+kOPUccJkubK0ieAuKeQAAIABJREFUch8EIl7gB5Vu3tYQiO2sHl3Pr5+E3l292yXqypsS6898XqiiHSfdpeIYAgjYBer03ReVutnNkE97EutGjNpfeaNu623rbXRK31addk7CHgII+CFghl2/qpwCacoTdynt3OCFdoKXsx/VJSkCCLS1gO2XTml9QeL+WzPvvtrjt0VtXVruj0D4CMSo/UVJ6m4tcK3KChZoean7mVjMN7UlpidE3I2acGOS54fa8Kk8JUUgNASq92tL8dGGslys5Iu8zaISqw7n/6wh7UntP/I9Q9RCoxUpRcgKmLlapmt8irshn40KHXOReqZf0nAwXpcn8uVkIyF2EfBdoOZTLX+kUGqFL/oJGvneLKREIHIFHOd6ML0cZt2p6zvw6yFyG5yataZATPfBmjDMttpTqZ4d+3/0SlmjGYtqvtCreS9on+J14/9M1y0JLPfdmm3EvSJboO7gZ1pvm4BX56njud468McqISm5AaRW+3Ye0HeRzUPtEGgjgWQlJfgQaGqj0nFbBEJb4OywtPmTg/9FP0+Fof1uoHQItIKA41wP5nZXaWT/S+jl0Ary3CJKBGISdUvObN1o65Ffu0Hz/+su5W47Xt+DwXJc2/If1vzNF+qOp1foyZGJfP6i5K1BNVtDwHFeMUmdknRxZ29Bo0Zl+vSwjvs2FVmjC9lFAAFXgSod+6Ki/nDvNF1+oR+fRdfMOIJAlArYRog0DEtzuypvYGn4pAbWk9wQCEMBx7keGlaV+fkxbSvZp68/eUXzV+6118llGVX7GTYQQMCbQEzCrXry3RrVjcppWHJ4r1ZOGK3jWQ+q//d/0vxPr9RTm2ZoREoHb9lwDgEE/Bao06kqfybbbafOiUkyg2asA0krD+vYyTqlxfO/zH7TcwECjQWqD+qTDyslJeqO6Tcrhe4LjYXYR6BpAfuwtBdabf5ZPqpNNwspEIhsAae5HiR9Plejs9eqsmNPjX58tQ4e+Up7NhUqZ2wv1W5erJkTRurXj5aovIYlZSL7jUHtAisQo/apd2rhu/M12NbjSBXaWvCI5q+8RE8V5hAwCiw4uSHQIFCnU5UOQaPETgriXKGoI4CARwGLqks/0GozVLT3RI27vrPHlJxAAAFPAq07LM1WCoJGNgleEYhSAcu3R7TfPtdDvAbnrtWHy6drVHpKw0TYMWqfkq7x857RU9Z5WWpVtvIRTcv/QBXEjaL0XUO1myfgLnBkclqjGRPna3V5o3mOmncTrkIAAW8CF3QkaOTNh3MIBEvA8g998KeNqlWapswZSS+jYDmTbwQLtP6wNBsmQSObBK8IRKmA5VSljtnr3l39+3d3v2qa07wstSp7Zane3ON+FSh7dmwggICTgKVilwrzl+mfmQ9be+/ZTx4o0owRM/TM7gpWarKjsIFAWwhYVFtdpTNtcWvuiUDECpj5M19SzvpqpbbCSk8Ry0jFolvAPiztoVYblmYDJ2hkk+AVgagUaDRBaBOrysQkDNBtmYkNUqV6uXiP6BsRlW8cKu23gEU1ZSt17+BJ2nDRY3pp3mSNf/xV/Tl3qOyj1Wo3q2DM7zTPNkG23/fgAgQQaFLgRJVOee0la1FtVaXsHXDjOuk/4vjf5SZdSYCAN4GaT/Vy3tvSsCe0LKuP+y8nvV3POQSiXqBthqXZ2PkraJPgFQEEfFhV5jylZaTbH3Jr//yZDrKqDO8cBJoQMAGj15VtJsG+5F7NnzlI8da/vh2UOqFAG1dMUqo9h71aeX++1hynn4OdhA0EWiQQq4Sk5LM5HK1sImh0Nql166cd1YGgUSMUdhHwQ8ByVKtnTtWzulcr8m9VAk+ffuCRFAEj0HbD0mz+fGxtErwiEJUCMYrr2MkeBGqaIEbtL0pS96YTkgIBBGwCpjvxtD9oa22i7ph9h9KclkY9R/HpM/XSqtlnJ8iuLVHO/HU67rU3hC1zXhFAwLvA2dXQvKeznW202trVSUpg4TQbDq8I+ClQrbKiPyjnyM1aXvi7Rn///MyK5AhEq4ClXO/MLZTacGgnfwaj9c1HvRGwCpwNAu0z+z4sLRxzbkddgB4CCPgoYFH1J2v18gHrcjG65hdmIe/G/85RfJ/fat7S7/XPCctVJql2/Vbt/u5mjWCZ78ZY7CPgt0C75Ks0LE56w3wMm/w757jaWpx6DrhMF/p9Ry5AAAHpjCq2PaPsJ6UZ7z6o9PhzQEEAgWYI1O1Zp2c+r1TV57fpygIfM6hcrNuSFzckvkxTit/StLT2Pl7smoyeRq4mHEEgqgRift5VPeyTqvygqlN+jDdj6eKoeq9Q2eYI/KDSzdvq50fplKSLO3v6rsb0OHpA87PSGm5yUIePn27ODbkGAQQaC3TooRvs8/E19dmq0rEvKhpyuEoj+18i/me5MSj7CDQlYIZlv6XHpv9Dt72bp/GpHZq6gPMIIBDCAvwdDOHGoWgItIqA0/9Mf6aSv3zt4+pNceo56jp157dIqzQTNwlXgdP6vxWnfCx8R1158y3q6WNqkiGAgK8CjvPxfa3te//p+e9c9UF98mFlfca9M9Sve6yvNyEdAghYBWzz+K1SwqIc3UXAiPcFAi0SaJc2XZ8cOayDTf18vEiDbXfqNFVvHbRds65FvYxMljzu2WB5RSBqBTrr+vETGx5Ua7Xv3Y/0lZe5VOqOH1ap1YpvYKP2LUPF/RDorMsHXF6f/n+rVF3r5cNl/ijbh38mKymBh1U/oEmKgBeBGHW4/k7N6G261dZq384D+s5Dasu3R7TfunRavG6cOJgvRjw4cRgB9wIOAaOlz+mx9ATvD5s1u/XMoh2sxOsek6MIhIwAQaOQaQoKgkDbCcSkjFSObVjM52v05z1VHgpTpb3bd6pKcUrNytLoFB5qPUBxGIEGgVh1759RH5St3aYtpT94kbGo+u+f6WNJcWMzNYj5jLxYcQoBPwViUjR6zr31KxVuflvvl7sb/lmlPWvXyMzxFzdsth69NdH7A6+fRSA5ApEt4E/A6IwqSl9XzpiH9d1Vl4vBa5H9zqB24S9A0Cj825AaIBAAgY5Ky1qkp4bFSyrVs4+8qtKaxj0ibMs9liou4/9o4eSr1fzp1AJQZLJAIEwEYlIytSB3qOJ0VG/kvaBtFWfcl7zmU72c97ZqL5ukxVP68T/R7pU4ikAzBWLUPu2uhnnDPtNba/epxikn88C7Vs8vK5XMZ3DOcJYGd/JhBwFvAraAUY621u7Vygn9dWnXJCV7/EnVgMxH9MbX/XRD2nneMuYcAgiEgABBoxBoBIqAQEgIxCRqRP4KPTW2l3RgoSZMW6Kt5dX1RbNUqLSkQNljn5fGLtI7T9+pVKdlw0OiBhQCgRAV6KDUCXlaZQJHB5Zr0uAH9HRJqSrscdlqlW9boZwxE/TyRQ/qzcKZrDIToi1JsUJAwFKhT976s7VHnrU0ldv07tqyRgEgT+U0X5As0ZvZ/XSsYKqyF3/U8DmsVvmWJcoelaOP+83mM+iJj+PRIeD3Z+yMKna/aP38bLUO7fSdKS5zkNI68DjquxgpI0LA789Y29f633788ccf274YlAABBEJHwDzAvq8/r1yoZzfbVpCJ1+Csabp14EANT4unu37oNBYlCTMBS0Wp1n24Xe89ulhn/+c6TqljZ+iejF/phvQUevCFWZtS3FYSqCjRPddO11ZvtzMTf+6erjRPixTarzVDYzbr/eIXNH/lXuvRuIypmjv2Zg3hM2hXYiPKBJr7GfPlOreUibpjxTuan97Z7VkOIhBxAr58Vnz+O+ZGxzH/luTjJmuCRm5QOIQAAggggAACCCCAAAIIIIAAAghEuwD9AaP9HUD9EUAAAQQQQAABBBBAAAEEEEAAATcCBI3coHAIAQQQQAABBBBAAAEEEEAAAQQQiHYBgkbR/g6g/ggggAACCCCAAAIIIIAAAggggIAbAYJGblA4hAACCCCAAAIIIIAAAggggAACCES7AEGjaH8HUH8EEEAAAQQQQAABBBBAAAEEEEDAjQBBIzcoHEIAAQQQQAABBBBAAAEEEEAAAQSiXYCgUbS/A6g/AggggAACCCCAAAIIIIAAAggg4EaAoJEbFA4hgAACCCCAAAIIIIAAAggggAAC0S5A0Cja3wHUHwEEEEAAAQQQQAABBBBAAAEEEHAjQNDIDQqHEEAAAQQQQAABBBBAAAEEEEAAgWgXIGgU7e8A6o8AAggggAACCCCAAAIIIIAAAgi4ESBo5AaFQwgggAACCCCAAAIIIIAAAggggEC0CxA0ivZ3APVHAAEEEEAAAQQQQAABBBBAAAEE3AgQNHKDwiEEEEAAAQQQQAABBBBAAAEEEEAg2gUIGkX7O4D6I4AAAggggAACCCCAAAIIIIAAAm4ECBq5QeEQAggggAACCCCAAAIIIIAAAgggEO0CBI2i/R1A/RFAAAEEEEAAAQQQQAABBBBAAAE3AgSN3KBwCAEEEEAAAQQQQAABBBBAAAEEEIh2AYJG0f4OoP4IIIAAAggggAACCCCAAAIIIICAGwGCRm5QOIQAAggggAACCCCAAAIItK3AGVWUbtDq4kW65/KxeqX8dNsWh7sjgEBUCrSLylpTaQQQQAABBBBAAAEEEEAgZAVOq3xFroosnfXtH5doa21/9Q/ZslIwBBCIZAGCRpHcutQNAQQQQAABBBBAAAEEwlAgVikTFmi+Tqs8Zo+25oZhFSgyAghEhADD0yKiGakEAggggAACCCCAAAIIIIAAAgggEFgBgkaB9SQ3BBBAAAEEEEAgMgRqvtArk65TctfrdM/ij1RhCYVqVat8W4leeXSEkieVqCIUihTxZQiuuaV8hUZ1Zb6eiH8bUUEEEAhbAYanhW3TUXAEEEAAAQQQQCB4AnVfbtQzm+vDMlsXvqGbbuujEfFt87+OlopSrdtQrOdyX1OZrcoZtg1egyHQOuan9dVfNmtf7ww92T02GNUgTwQQQACBFgrQ06iFgFyOAAIIIIAAAghEokC7S2/UgxnxkuI1OPsO9b2wbQJGspTp1QeW6WBI9HSKxJZ2U6fWMrd8rQ/f/Zt6jrpO3XkqcdMQHEIAAQTaXqCN/vq3fcUpAQIIIIAAAggggIAXgfZXaPzyjzTeS5JWORWTqvHvPCfJot92+4kGTChSbavcOIpv0krmlq8+Ukn5QE24MUnEjKL4/UbVEUAgpAUIGoV081A4BBBAAAEEEEAAgXqBGMV16KhzJIJGrfaWCKZ5/dC0rzInaVCCadUI/mcp0yujMjX/cx/CnXHjtPzjOUrvQBgtgt8RVA2BsBIgaBRWzUVhEUAAAQQQQACB6BVol5CkNElbo5eg1WseNHPr0LRvNWJ6D3Vo9Vq18g1Nz63VX7R9r71Wrja3QwCByBAghB0Z7UgtEEAAAQQQQAABBBAIG4H6oWn9dEPaeWFTZgqKAAIIRKMAQaNobHXqjAACCCCAAAIIIIBAmwnYhqYNUhrDsNqsFbgxAggg4IsAQSNflEiDAAIIIIAAAggggAACgRGwDU3LiIKhaYERIxcEEECgzQQIGrUZPTdGAAEEEEAg0gQsqinfoXcXTVavrlO1uqKuoYLVKt+2Sk9Puk7JXZOU3PUK3fTo6yqtOOMMYKlQ6ZqXlTPsioZ01+meRSWu6Zyvsq6qZe67uniR7rnc5N/wc/lkPV28wYfrz6iidINWr3hUN9mutb6a+/9Ja0sr5Hm19/prrXW+apFKbVV2qcsI5by6WxWeM3KpVf2Bf2j1pLSzdXIqn824ThUlUz2kSVKyY7msmbrLc7ieLq1pVAbTbiV65dERSp5UoopGZ+t3g1B/q92fHN4vSeo1aZFWe20Ht4XzftDcp8TxPfP/t3c2UFFcWR7/b6+b8bDIwsRR1t2oBJDFiB/E7CHRY1CRqKsBycRE4wGMGI1JFM2o66qAwZndJDMgHSdxFING1B2MgF9rogjE49dEbcGPKILLqCN01BFsSG000m9PdVdVVxXd0FBN0+D1HE6/qnrvvvt+71K213vv4/d7F0orTQBfuDh1n50122PCM/gfKydhf3h9C0oroSZqXyHr70377VfreP5XiP/dcwNzAYD21LTOeteodrBdNqSS4fDSDFNpKoYODMWktOMAjiN9QiiCYragss3vEYeT0AMiQASIQOsEGP0hAkSACBABIkAEiIAWAg1XWUnBZrZq4mAWOGCg8PMeK6z9ibGGK6xw5cuy++LzgSwwNJkV3npgmbmptoilKsbL+k3Us7MNTQ40vM+u5Mxnz87JYIVna5m11wNWe3a7TZ/QJKb/VnymEtNUy05nJbGwAQNZ2Jxt7IowT1Ptt2ybpHcEm5tzkTXIh/Jr3p3B5obK9Byewc7+xJjjtQxmkzO+VcqRy3TYvs+uFukVc4XNL2C31EiasbajtzRHE2u4ss0iM2yOnh25et/2pPYs26de25wCViv1YIx1yPqbWMPVAuu+TVzJtkn7Ka4/gs1dmcwmizam1kmuX2vthotsy5wIFjbnM3a61mqDjKnsRpLP6/UNK8xZaZub14F/LrMfm+2LNjGYTU4pYrXqfVLoptF+mdbxbmQurfv/2NWcN1jYyhJmszrpYcuNTn3XqFRrkw2pxtIlESACRKALEaBIo9b9atSDCBABIkAEiAARcEigEYZNKdhRWYvvr6uOk264iK1LN6B6ZCqO/W81qv58DWWHMzEj1MsqjSvE6k9P4L7xCD6Y9yV8522z3+/yBqR/WWkn2qcehszZePXYKGxftwgx4f6wfrF5Av7hM7EmR49Z/FxcEbJefQd6Q71qFQ9Rs/dDvJlRBM4rHvqMmQjxtkrQ+T+HWcsWY4ZFVSOK0/4Tuyt/FMbfRel//Qo7rqnWiyaYKnIxf14JApYXouzP/JorcGzXcoyzyOFQkZUlk6NSx+GlD4LHz0Pab2IhkAOe9IWgqm2Udwhi/n0V3hX5IhCjRgXC29ZD1tLBS/cIdxCL9A/mYVyweH7VX7Bv1cf40/XvcUu9PGl0x6zfXLMXy2IWYyfmI2/XB5gl7Se//vewoWg5euQXokLSo72NeovNpp+Ihj7jLYz0F497F+xm868RLYEG8KgM2dMT8H7adtXc9/DdF7/Br2+PxZZTFaji9/viIWxcFCXsE4eKrQsxJ+u0g4gjrfardTzgPuayvTKdwhcf3URMm1PTOvNdI9Pf0myjDamH0zURIAJEoCsR6EIOLlKVCBABIkAEiAAR8GACTVdzWKwYBTJgDItduVkWxSEq3sTul6RYInsskRmhUSx2+UY7/RhTyHs5h11VRGw0sYazejZ5QBzLPFsnCld9WiMapAgQtYymK2zLy0J0lBAlpBRwh5WsHCNESY1hq0ruKB8zlY6qaCVbZ7keg1lszhUhIsrWw6nW/RK2SoxsCk1hJfcVQAQRzs7VWrSHap+kqBulpoo90rL+puuscH4EC2zLfjrQSamhnSuRo9095/sLDJvJf8BuFSTbbHeAo0gua/QPH71mtXFbRJ1NG632q3U8b7xuZC4tXLArh/YrdWyxobS7jn7X2FGl3TZkRxbdIgJEgAh4OAGKNOpKHj7SlQgQASJABIiABxPQBQzFi36igsOQ+G68LIpDvK+DT/hYxIiRHFwoEpNn2+kH6PoOxBCxX2U1bjXKCnmYK7F7zQZU+I3GmKG+onDVZw/08pUd511uwHe3xaJDfB2XH1B3w2E4DYCe8Hny7wWZDfi+Xow0sk2j6+WLX4iXqmgl8TYvJ2Dos7BqyeFaVa2DyBPbCLstn+GYNjfc+ogrxRHDPTvdeiIw+pdCpAyHCwUncU2GTRrQaiFiHbz/KQCB0gD7Ddesn4/4ysTqg0Zg2FT823BH+ynnaF8fp+5y9fie3/a6Yzh6Xh19xkvoieC4JMz4O7W0J9Cnf3+IcUkYNg9L45+xE8nlg5D4ZLw/TDBe7hC2HKpWRspptV+t4+Fm5hLKezAUlQJx2k5Nc+u7RtJd1mi3DclkUJMIEAEi0EUI9OgiepKaRIAIEAEiQASIQHch4OWDJ38GoCV/Db9WeT+uDvc5MyAcz20ppFvOC9BjepDeSTJVqK75EfAXErZ6BGHSoon4PK0MEYuiMag934p698dgP6C4DsDPfOHj1fr/x3HGesvSxYQwJ5UH4IvhU6YiLMuAC7iBPUUXsTQyEko5ZnDGm5AyBcv34UBZLJLDlY4YsRDxonCZU02liMIhpHomXbpi/eZqHM45ZGHiGzkUAS0g1PXyw1MA7Ll6JJ1aa3j5oi/vz+EMWD9rKf52azreeU5MbRQGe/8jgvo0tCzpF77o5UhX3QC8MG0EUM4XMBacd/EhCBb6a7VfrePhbuYiSdNFHMkHYj5106lp8neIqIO9T3k/1bvGXne4yobsCqebRIAIEAHPItCer0eetQLShggQASJABIgAEXjMCDzC7Uu84wSA30LknV6M8HZ9o/FBSOJnOJ+oxsefhlWMk9/sRmrWZfXDTr3WBT6P2GFeuFDOgcvNRkFCBBKCe8p0uocz+XvxKDQIXperwMGAz/PL8Ga43Ln0I64d/wYP5y7ASMEJJxPg9qbNAeKH8IA+aGkrnXJktbYC76cx8kV/7OQjmyz1roqwKWoh0hfMwFSxjpIuBAlrQlqT1MLznggcFYUwHLfa6Y06NPARXxankVb71ToecDtzCykzTIYS7EEk9C04K1uA6jmP3GJDnrNc0oQIEIHHm4Cj/x95vKnQ6okAESACRIAIEAEPJvAIDfX2UrM0qmw5dvxzrJ40AtGfXgZGvA39olCNQl08XIxgsYg9h8Lj1xVpT+bK/cjKfwErduql9CguvwQGkyxHzZKaBkyfEmYntcrF+rYqTuYAabWvizro+mNq6lprkXRBJFekx/txz2PQpFXYWlrZvvRBlXqK9Mq6aty8K6ZGarVf7eMlp6tK5469dE1qWsfq6KR0N9mQk9pQNyJABIhAhxIgp1GH4iXhRIAIEAEiQASIgOsJPEJDneA0UvxjvL0zmVB55BO8NeR5JO75AWP1J3E+ezGmRQ5SpX61V74rx7VUs0iMIJqCkb4B1vQofmruEPKK/yI4l8wwHd2B3+FFvBAoj1BypY5tkfUjaqqr2jLAJX11/uORtqtQdtKZIPbydqQnRuOFpA04Y3yobS4x5amZFK32q3V85zCHmJrW5lPTmgH0iBtusSGPWCkpQQSIwONOgJxGj7sF0PqJABEgAkSACHRpAuU4c6X9FW7MxpP4JOklTJqzA1i2Hyey35MdP++ZYHT9RmN6XH+rcuVFOHFNKNBtOcr8JyGCSO5cMuJQTrFQEJuP9jiBwGnPI9DjvgXWwVB9G2I8TofT9w7GuMV/wInDOVg9a6hiOq7oQ7w++2OUanUciVL9AvBUb3uJd9rsF9A63l3Mbalp47t6apq4p/ynO21IPi+1iQARIAJuJOBxXxfcuHaaiggQASJABIgAEeiSBHqiX0CQoPkN7PnjMdTIsq8cLclceRj7K2UnoDVewrZVS5BVZITXpOVIs3sSliNpnXn/5wiPioT1bC4xRe0haor34GBcEqYJNY7sOpcs0R59ETtqgLW8TmcuwzJ3D/TysxXjrr90A3fdqpMO3sGRSFhbgLLDG/FulL9t9svZWLj+BEy2O+1vPRuAfpLPSKv9ah3fGcy7UWpaMytwkw01m5duEAEiQATcQ4CcRu7hTLMQASJABIgAESACLiPQA32eCUeYII87+CHW7r2hqO3TfKp6lB28Bu++4oHpZpjO5OF3RUa+mjYiXhqJfl3mW5EOPuFjEWPxGnG48NEOHK2/hsM5FzFJkfqjdC7l7S9HDV+IODjKQ1LT+F16An0HBgoOMAAnzuGKvP5S84203blTby0ubbvjXMu4D2lbKlT2wv/DfwKSs7/GgbSJkj7cgXOoam/o090b+I4/VQ9eCBsdij6SdlrtV+v4TmDezVLT4C4bkmyGGkSACBCBziPQZb4edR4impkIEAEiQASIABHwNALiKWJWvYw4lPwePiitUTkCRK3NaKzYj+y//gvCpdPCOFSdO2055l3s1aU+fYZgvJiixh3Cjt9uRB7eQPyY3rJl6OAzZqZQEJtDxaZ1SNtahpjFU6Sj32WdO6kpd4Dx9Ze+xMebzzpXiFo8kazNmjehpuCkkK6nHuyDkPgVSJ8kizhSd3Hq2gzTlXM4xff1ikZidIAiskur/Wob727m3TE1zR025JShUSciQASIQIcTIKdRhyOmCYgAESACRIAIEAGXE9AFYMLsaCkiBDiP3MRXMD+zEAZ5HZrGSpTmZ2HJtAIMihnuoLB1HU6dqWqWhmQ2XsDxS5ZQEQAPcKf+BwdOKZevzgmBvTEmYbYQbWVEce4pDJg9rnmdIvlpa9wpFP9pODyupoxPBOKXjRLWzKEiay1+a88BaK5B6Wc5KBbpPKiHiXMiL1HsL/8s34cDZQ5qYel+jqcG+Vl79/dDL0fflluMirKmY3HwQsjcmRjfT4xwE5TQar9ax7uVeTdNTXOFDcltktpEgAgQAQ8l4OivQQ9Vl9QiAkSACBABIkAEPJYAZ8JfH4ja3UN9gzN5Pe3t9wT6vbwU+gR5AWMjirMWY3pECIIGBlh/hkQjaUk2br26AK8P9xWVs6QMBY14TnI6cbkr8Cv9SRh5H4TZCENhJubP24MmfzGpiMO1qlo04iGMp3Ox9ahQeUdKQeL9Sk46MdqbViXTnm8qok28ojF93D8rolms3eUFsQGvuLGyaCuVQNWluaEed8R7Z6tRY287XbL+ngj+5QqsluoJiQ7Aw6hstDqFzMbTyE1Zhjzff8UYUSfuCyS9loKczLfxarN0M7GTo08D1q/8vf1C1+Z7uHmVdxb2x4yWorIUp9LJ5zGj0bATH+fegFfUCmTMfRbe8seWtlb71Trejcw7IjXNre+aZpsn3HCBDTkSTfeJABEgAh5EgJxGHrQZpAoRIAJEgAgQga5LwISK/D9kSGTsAAAD2UlEQVRiDyeu4Bzyco9bnTDiLcunCRW5m/C5GMCDc8jb+pXkHLB1daKfrh8iU/+A/14SJTl/bOPFlhdCEvTYnDoe/opvPXzq1hxZGpIRxRkzMfrpAAQ9PR6rzwRg6fa1eDNquCSby52N8IEvIuXSCLxiSQMzoeKrr60pSPx0fJpY/uXmqVXmGhzbUwoprqW8ANuPOkqlE/V24lOKIvJC2LKZGCOl3inH2gpi90eMouaRsp/iylyDo7kFuCDerCvF3mNqnV24fu9nkLAuW+Y44h2Ab2HSkECL829QRCJ2PrkIH814BlI9aUE3XdBcfBIfYsdhJirv4PNyNpLGvYN1hQabnTZWojgrHasP9sGMdRuxPFKe7qeSE+yH6//xGuZn2pxbFofjthS8FpeBm1Hp2LVuJkK8FYZnE6LJfnmvoRb750/+cgdzITUteLYqddKGoe2tTnjXOFJSqw05kkv3iQARIAIeROBvGGPMg/QhVYgAESACRIAIEIEuReARjIVLMDp5n0OtfRftxqnFg3A+czqmZ1122A9RmTiWPQVwSl64zHnwEEZDMU5+sxupWUVCnSIvhMx6H2/HTcbkcH/HDgXeSbDpIySL40LfwOrlCXglMtgaHdJ4CVuTk5DOn7AWtRDpC2Zganhv3G5RRz+MW7cXG2N9YWhxzaF4Nz8PyeHN41AcQ1I+MVduwSsTihB7OBsJwqlpyh78lRmm0jUYvQDQn0pFpAPnknVcoxM678DrN1Ja2HMt6zehsvRrHMjNwHpLkXJYuK+ZNQUT+D0xFuKtiA+BRUswc8pLiAz2ab7c1u7wRYy/GoSU+H9A2YFTuF51QGY3/hjXguxHhkxExOmtDsCoTBxd2x+nd36G1aL98DFsUQsh6duaLpbnGuzXJeM7kvldlK6agayg9did2A7HnoKfJ7xrBIU02JBiSXRBBIgAEegCBMhp1AU2iVQkAkSACBABIkAEiAAR6HwCaqfRsexYaC2Z3fmrIg2IABEgAkSACDgm4CBe1vEAekIEiAARIAJEgAgQASJABIgAESACRIAIEAEi0P0JkNOo++8xrZAIEAEiQASIABEgAkSACBABIkAEiAARIAJtJkBOozYjowFEgAgQASJABIgAESACRIAIEAEiQASIABHo/gTIadT995hWSASIABEgAkSACBABIkAEiAARIAJEgAgQgTYTIKdRm5HRACJABIgAESACRIAIEAEiQASIABEgAkSACHR/AuQ06v57TCskAkSACBABIkAEiAAR0Eqg8RK2f5qHelFOUQ5+X1iBRvGaPokAESACRIAIdEMC/w+iYia+aTEDQQAAAABJRU5ErkJggg==" alt></p>
<p> </p>
<p>(i) Suggest why, for any given height, the mean wind speed above the sea is greater than the mean wind speed above the land.</p>
<p>(ii) There is a choice of mounting the wind generators either 60m above the land or 60m above the sea.</p>
<p>Calculate the ratio</p>
<p style="text-align: center;">\[\frac{{{\rm{power available from a land - based generator}}}}{{{\rm{power available from a sea - based generator}}}}\]</p>
<p>at a height of 60m.</p>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between photovoltaic cells and solar heating panels.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows 12 photovoltaic cells connected in series and in parallel to form a module to provide electrical power.</p>
<p><img 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" alt></p>
<p> </p>
<p>Each cell in the module has an emf of 0.75V and an internal resistance of 1.8Ω.</p>
<p>(i) Calculate the emf of the module.</p>
<p>(ii) Determine the internal resistance of the module.</p>
<p>(iii) The diagram below shows the module connected to a load resistor of resistance 2.2Ω.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p> </p>
<p>Calculate the power dissipated in the load resistor.</p>
<p>(iv) Discuss the benefits of having cells combined in series and parallel within the module.</p>
<div class="marks">[8]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The intensity of the Sun’s radiation at the position of the Earth’s orbit (the solar constant) is approximately 1.4×10<sup>3</sup>Wm<sup>–2</sup>.</p>
<p>(i) Explain why the average solar power per square metre arriving at the Earth is 3.5×10<sup>2</sup> W.</p>
<p>(ii) State why the solar constant is an approximate value.</p>
<p>(iii) Photovoltaic cells are approximately 20% efficient. Estimate the minimum area needed to supply an average power of 850kW over a 24 hour period.</p>
<p> </p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about momentum. <strong>Part 2</strong> is about electric point charges.</p>
<p><strong>Part 1</strong> Momentum</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Electric point charges</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of linear momentum.</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 toy car crashes into a wall and rebounds at right angles to the wall, as shown in the plan view.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The graph shows the variation with time of the force acting on the car due to the wall during the collision.</p>
<p><img 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" alt>The kinetic energy of the car is unchanged after the collision. The mass of the car is 0.80 kg.</p>
<p>(i) Determine the initial momentum of the car.</p>
<p>(ii) Estimate the average acceleration of the car before it rebounds.</p>
<p>(iii) On the axes, draw a graph to show how the momentum of the car varies during the impact. You are not required to give values on the y-axis.</p>
<h4><img 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" alt></h4>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two identical toy cars, A and B are dropped from the same height onto a solid floor without rebounding. Car A is unprotected whilst car B is in a box with protective packaging around the toy. Explain why car B is less likely to be damaged when dropped.</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>Define <em>electric field strength</em> at a point in an electric field.</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>Six point charges of equal magnitude <em>Q</em> are held at the corners of a hexagon with the signs of the charges as shown. Each side of the hexagon has a length <em>a</em>.</p>
<p><img 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/uc8oeGIxwECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgQIKvKmA93IrAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAuIIDwF4EAAQIECBAgQIAAAQIECBAgQIAAAQIECBAouIAAouCkbkiAAAECBAgQIECAAAECBAgQIECAAAECBAgIIPwdIECAAAECBAgQIECAAAECBAgQIECAAAECBAouIIAoOKkbEiBAgAABAgQIECBAgAABAgQIECBAgAABAgIIfwcIECBAgAABAgQIECBAgAABAgQIECBAgACBggsIIApO6oYECBAgQIAAAQIECBAgQIAAAQIECBAgQICAAMLfAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDgAgKIgpO6IQECBAgQIECAAAECBAgQIECAAAECBAgQICCA8HeAAAECBAgQIECAAAECBAgQIECAAAECBAgQKLjAqc29Y+8zezb3VOcRIECAAAECBAgQIECAAAECBAgQIECAAAECZSSwfdfOFu/GNyBaTOYCAgQIECBAgAABAgQIECBAgAABAgQIECBA4GQCzf4GROONWpNyNF7rTwIECBAgQIAAAQIECBAgQIAAAQIECBAgQCAdgbZMR/INiHT6rFICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikIyCASKdXKiVAgAABAgQIECBAgAABAgQIECBAgAABAskICCCSaZVCCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAOgICiHR6pVICBAgQIECAAAECBAgQIECAAAECBAgQIJCMgAAimVYplAABAgQIECBAgAABAgQIECBAgAABAgQIpCMggEinVyolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCAggkmmVQgkQIECAAAECBAgQIECAAAECBAgQIECAQDoCAoh0eqVSAgQIECBAgAABAgQIECBAgAABAgQIECCQjIAAIplWKZQAAQIECBAgQIAAAQIECBAgQIAAAQIECKQjIIBIp1cqJUCAAAECBAgQIECAAAECBAgQIECAAAECyQgIIJJplUIJECBAgAABAgQIECBAgAABAgQIECBAgEA6AgKIdHqlUgIECBAgQIAAAQIECBAgQIAAAQIECBAgkIyAACKZVimUAAECBAgQIECAAAECBAgQIECAAAECBAikI3BqOqWqlAABAgQIECBAgACB5goc2LkpVn37qfju578YtfX7D1/WuW9cPX5IfPgjn44rqs84/LqfCBAgQIAAAQIECBAgUGCBU/7QcDTnnr3P7Jmftn3Xzuac7hwCBAgQIECAAAECBDpC4MDO2HTvzJh+3+NRf8L1T4sPfmZO/P1dg+LMTic80ZsECBAgQIAAAQIECFSwQFuyAd+AqOC/OLZOgAABAgQIECBQZgIHtsfDNf8pJn7rpWZs7NX40QN/F5/9XefYMO/S6NaMK5xCgAABAgQIECBAgACBlgh4BkRLtJxLgAABAgQIECBAoGQFXovtX5geU5vChx4xsOaOWLHpuci+xXzwn23x9Lp7Y9I1faNzvo/9Uf/g8vjKziNGNJXs/hRGgAABAgQIECBAgEBqAr4BkVrH1EuAAAECBAgQIEDgWAK7N8aceU/FwSihR1y64Eux6MrecfR0pU7RrXpIjO773vj1d4fF0peys/8ltu38vxE9fQfiWKxeI0CAAAECBAgQIECg9QK+AdF6O1cSIECAAAECBAgQKBGBhm8/PPxQbMnTh85Rdc2tMecN4cMRpXY6LU4//eho4oh3/UiAAAECBAgQIECAAIGCCPgGREEY3YQAAQIECBAgQIBARwp0id4jV8ePRzajhuwh1V/4fHzjudcOnfze6NPz3zXjQqcQIECAAAECBAgQIECgZQICiJZ5OZsAAQIECBAgQIBACQvsjrqvfi2efuXf4pWn/imWPt6Mh1F36Rm9exx8IkQJb0xpBAgQIECAAAECBAgkKCCASLBpSiZAgAABAgQIECBwtMBrsat2ccycujhq61v4QOmz+0RP+cPRnH4jQIAAAQIECBAgQKAgAgKIgjC6CQECBAgQIECAAIGOEjgQe2vvjM9evzrqT1RC575x9fi/ij6dfn/EtyM6R48/7xfvPdF13iNAgAABAgQIECBAgEArBQQQrYRzGQECBAgQIECAAIGSENhbG3OmfuVw+FB1SYz+3MVx/seuigE9uxyjxJ/Hw08tOfT6v4uz+/xxeBz1MZi8RIAAAQIECBAgQIBAmwUEEG0mdAMCBAgQIECAAAECHSewf+u34+uNY5eqhsWKb94VA7qdIFLY/VQ8unnvoYL/KM7q1a3jircyAQIECBAgQIAAAQJlLfCmst6dzREgQIAAAQIECBAoa4H98bPtO+O1Q3vscuGl8RcnCh/i5dg09x+jtvExEV0+FOf/f28rayGbI0CAAAECBAgQIECg4wQEEB1nb2UCBAgQIECAAAECBRU4sG1b/PTA8W65O+qWT4vpD754+AQPoD5s4ScCBAgQIECAAAECBAouIIAoOKkbEiBAgAABAgQIECiWQOd475+dFz0OLbd/68IYP2V5bNrZ+J2IhjcO7IxNX1gYN396QFw187HDz4poeKvLOX3iT4pVqnUIECBAgAABAgQIEKg4Ac+AqLiW2zABAgQIECBAgEA5CXTqe1n8Tb/7Y/bWVxu29Wr86MFZMaLhHwcBAgQIECBAgAABAgQ6WsA3IDq6A9YnQIAAAQIECBAg0BaBTufEiC8sjdF9TzvJXXrEwBuWxaPLr4kuh848sHtP/J+TXOVtAgQIECBAgAABAgQItFbANyBaK+c6AgQIECBAgAABAqUi0O2jMWndI3H+yjXxwLIvRm1941OmIzr3vSZu/NQH4+yPXRUDenaJA3Vb450Ndb/U8M/+n7yQPzPijE6lshF1ECBAgAABAgQIECBQTgKn/KHhaM6Gep/ZMz9t+66dzTndOQQIECBAgAABAgQIECBAgAABAgQIECBAgEDiAm3JBoxgSrz5yidAgAABAgQIECBAgAABAgQIECBAgAABAqUoIIAoxa6oiQABAgQIECBAgAABAgQIECBAgAABAgQIJC4ggEi8gconQIAAAQIECFSCwMYNG+PqK6+M7E8HgfYWyP6u3XHb7VFfX9/eS7k/AQIECBAgQIAAgbIWEECUdXttjgABAgQIECCQtkAWOFx6ySUxbuzY2Lt3b5x99tlpb0j1SQj85Sc+EatWrow/v+CjgogkOqZIAgQIECBAgACBUhUQQJRqZ9RFgAABAgQIEKhggSODh4xh4aJF8djjj0efs/pUsIqtF0tgxMiR8Z2nvhfXDR8uiCgWunUIECBAgAABAgTKUuCUPzQczdlZW5503Zz7O4cAAQIECBAgQIBAFjzce8+C2LF9R/Tq3StuvGl8DBo8CAyBDhPIxjAtXbwkDyKyIrJQYnTNmKiqquqwmixMgAABAgQIECBAoJgCbckGBBDF7JS1CBAgQIAAAQIEjikgeDgmixdLSEAQUULNUAoBAgQIECBAgEBRBQQQReW2GAECBAgQIECAQKEEBA+FknSfYgkIIoolbR0CBAgQIECAAIFSERBAlEon1EGAAAECBAgQINAsAcFDs5icVMICgogSbo7SCBAgQIAAAQIECioggCgop5sRIECAAAECBAi0l4Dgob1k3bejBAQRHSVvXQIECBAgQIAAgWIJCCCKJW0dAgQIECBAgACBVgkIHlrF5qKEBAQRCTVLqQQIECBAgAABAi0SEEC0iMvJBAgQIECAAAECxRRo/B+rxVzTWgRKReBLq1ZF/wv7l0o56iBAgAABAgQIECDQYoHG/0+3fdfOFl/7phZf4QICBAgQIECAAAECBAgQOKlA99O7n/QcJxAgQIAAAQIECBAoZ4FTy3lz9kaAAAECBAgQINDxAtmnZIyn6fg+qKB9BY4cM5YFD2NqamLosGHRtWvX9l3Y3QkQIECAAAECBAiUsMApf2g4mlNfW75m0Zz7O4cAAQIECBAgQKD8BQQR5d/jStuh4KHSOm6/BAgQIECAAIHKE2hLNiCAqLy/L3ZMgAABAgQIEOhwAUFEh7dAAW0UEDy0EdDlBAgQIECAAAECyQgIIJJplUIJECBAgAABAgSOFBBEHKnh5xQEBA8pdEmNBAgQIECAAAEChRQQQBRS070IECBAgAABAgSKLiCIKDq5BVsoIHhoIZjTCRAgQIAAAQIEykZAAFE2rbQRAgQIECBAgEBlCwgiKrv/pbh7wUMpdkVNBAgQIECAAAECxRQQQBRT21oECBAgQIAAAQLtLiCIaHdiC5xEQPBwEiBvEyBAgAABAgQIVIyAAKJiWm2jBAgQIECAAIHKEnh9EPGlVaui/4X9KwvBbosuMOL6z8Wm2trofnr3GFNTE0OHDYuuXbsWvQ4LEiBAgAABAgQIECgFgbYEEKeWwgbUQIAAAQIECBAgQOBYAlVVVXHbHbfH6Jox8cD9D0TX0/xL4GM5ea2wAv/hAx+ICz56geChsKzuRoAAAQIECBAgUIECp/yh4WjOvtuScjTn/s4hQIAAAQIECBAgQIAAAQIECBAgQIAAAQIESkugLdnAm0prK6ohQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEykFAAFEOXbQHAgQIECBAgAABAgQIECBAgAABAgQIECBQYgICiBJriHIIECBAgAABAgQIECBAgAABAgQIECBAgEA5CAggyqGL9kCAAAECBAgQIECAAAECBAgQIECAAAECBEpMQABRYg1RDgECBAgQIECAAAECBAgQIECAAAECBAgQKAcBAUQ5dNEeCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAiQkIIEqsIcohQIAAAQIECBAgQIAAAQIECBAgQIAAAQLlICCAKIcu2gMBAgQIECBAgAABAgQIECBAgAABAgQIECgxAQFEiTVEOQQIECBAgAABAgQIECBAgAABAgQIECBAoBwEBBDl0EV7IECAAAECBAgQIECAAAECBAgQIECAAAECJSYggCixhiiHAAECBAgQIECAAAECBAgQIECAAAECBAiUg4AAohy6aA8ECBAgQIAAAQIECBAgQIAAAQIECBAgQKDEBAQQJdYQ5RAgQIAAAQIECBAgQIAAAQIECBAgQIAAgXIQOLUcNmEPBAgQIECAAAECZSBwYGdsWvnt2P7yf48vLn486o/cUue+cfX4v4o+7/qzuOrK6uh25Ht+JkCAAAECBAgQIECAAIGSFDjlDw1HcyrrfWbP/LTtu3Y253TnECBAgAABAgQIEGiewN66eHjpoljw+tDheFdXXRJjZ02L/zKwZ3Q63jleJ1DOAsK6cu6uvREgQIAAAQIESk6gLdmAAKLk2qkgAgQIECBAgEClCLwWux6bG3/3t1+KH+1v6Z5Piw9+Zk78/V2D4kwpREvxnJ+qgLAu1c6pmwABAgQIECCQtEBbAgjPgEi69YonQIAAAQIECLSnwP7YtfyayP7HZvbPByZtihbnBMctryF8+OrE+OzI14UPDd9uGD3trlix6bnIvnl78J9t8fS6e2NKzSVR1XS/V+NHD/xdfHbKY7G36TU/EChXgSysuyOGnH9FTGzuN4UyivrHY9H1l8WVUzfGrgPlamNfBAgQIECAAAECpSwggCjl7qiNAAECBAgQIFCWAofCh/HfOPych+wZD/MejqefWhGTRv51DOjZ5Yidd4pu1UNixOQVsXnTohja97RD7+2P+gdnxpzal484148Eyk1AWFduHbUfAgQIECBAgEAlCQggKqnb9kqAAAECBAgQKAGBA9u/HBNuPiJ8qLo0pjz4hZhzzckfLt2p56CYuWpBXF3V+dBOXoyHpt4bm/b6eHcJtFYJBRcQ1hWc1A0JECBAgAABAgSKKiCAKCq3xQgQIECAAAECFS5w4MfxxYkLo65xllPnC2LK/f8YI6rPaD5Mt4Fx86yrDo9jqn80Hnj8l82/3pkEEhEQ1iXSKGUSIECAAAECBAgcV0AAcVwabxAgQIAAAQIECBRW4EDsfXJVfHHrq4due1pUT7ot/nPvI8ctNWfFhpFMF10Zl/Vo/BbE3tiy8anY3ZxLnUMgFQFhXSqdUicBAgQIECBAgMAJBAQQJ8DxFgECBAgQIECAQCEFfhm19z96+LkPPT4b064/Jzq1ZolO58aln+rZdOX+n7wQPzWFqcnDD6kLCOtS76D6CRAgQIAAAQIEDgoIIPxNIECAAAECBAgQKI7A7qfi0c17D63VLQbe+DdR3ar0IbvFW+Lf93lfNH4HIn71Suz9fXG2YRUC7S8grGt/YysQIECAAAECBAgUQ+DUYixiDQIECBAgQIAAgVIVeD5WfPqymP3sayct8LUHr49zHjzOaV2uiRU/mhsDmhKB1593IHY/8c3Y0vTsh/Pjkxe/+/UnteD3TvH27t3zb0803rIFFzuVQGkLtEtY93zk/11pDOtaHf6VNp3qCBAgQIAAAQIESkvANyBKqx+qIUCAAAECBAiUqcBv46fbXjz4L0CzHZ57fvQ7w78BLdNm21abBNovrGtTWS4mQIAAAQIECBAg0AoBAUQr0FxCgAABAgQIECDQUoG9sfP5/910UZdz+sSfNP3Wmh/2x8+274yTf2+jNfd2DYGOFBDWdaS+tQkQIECAAAECBAorYARTYT3djQABAgQIECCQmMDZMeJrz8WIY1a9P3Yt/2xcMvMH+btdrvlCPDNvwOHnLhzzmuO9uC9eebkxLugSZ531J628T+P9/2/sfOFfGn+JOLtP9Dzu+KfDp/mJQOkLCOtKv0cqJECAAAECBAgQaK6Ab0A0V8p5BAgQIECAAAECpSNwYHv84Lu7D9XTOXr8eb94b+lUpxICbRAQ1rUBz6UECBAgQIAAAQIlJuAbECXWEOUQIECAAAECBMpToGuc/q4uDVvLvgVxIPa88mrDf0b+EOmW7/dA7H3yq/HIS42Pn+4Zgz9+bivv1fLVXVGBAvs3xc0fvD4eavwST5sIquLqLzwacwZ2a9Ndmn2xsK7ZVE4kQIAAAQIECBAovIBvQBTe1B0JECBAgAABAgTeINAtep79R4de3R+/fP7F2PuGc5r5woEX4iv3fSPqG0/vMTAu7fu2xt/8SSBxgcawLtvG4bCudZsS1rXOzVUECBAgQIAAAQKFEhBAFErSfQgQIECAAAECBE4g8Jb4933e1/Tch/2bvxlP7s6+A3Hs48D2L8aYUXPj4brGMUuN52X/QnVVfHHrq4de6BYDb/ybqO7U+L4/CaQuIKxLvYPqJ0CAAAECBAgQOCxgBNNhCz8RIECAAAECBAi0m0CnOOPiT0T/zo9FbTY5af8TsWBubQycd2m8cRDNb+LZr6yJx771fMM/34hvLfhSLLqydz5i6cDOr8bNU7/S9O2Hzv3+Nm4e8p52q9qNCeQCnQfEnB/vjDlF4WgM656P/L8qeVh3WVxxxrFTtiysGzv3f8fHa0bEFdVnHFGhsO4IDD8SIECAAAECBAh0kIBvQHQQvGUJECBAgAABAhUncEb/+Mzl7zu07f1R/+DMmFP78hsZ9n4n1q7beej1l+Kx8ZfHlXO/F7t3Phhjh02Px+oPPfuh8wUxYf7fRO9j/3vZN97XKwSSEGgM6w4VeyisO/bIssawbklMvHxIjPnq9vzZKtmVwrokmq1IAgQIECBAgEDZC5zyh4ajObvsfWbP/LTtuxr/z2BzrnIOAQIECBAgQIAAgcMCB7Yvj2s/MSvqGp8fHT1i4LS/j/kjzzvimxANn9yu+3qsXf3FuPfBZ/NPgR++w6GfOlfH6DXLY9J5R37i+w1neYFAogIvx6ZJV8eIB188VP/7Gh5c/VDDg6vfdfR+9j4WN39ibDzUGMrFafHBmqXx+Wv+Jaa9Lqyb8s0vxoje2YPgHQQIECBAgAABAgRaJtCWbEAA0TJrZxMgQIAAAQIECLRJ4LXY9dWJ8dnxRzxEuuF+nfteEzcOHxrXXll9OIg4sDM23Tszpt/3eNPIpXxp4UObOuDiNASEdWn0SZUECBAgQIAAgUoQEEBUQpftkQABAgQIECBQNgLHDiGat72qhk+CP9rwSfA3Pjmiedc7i0AqAsf+74mwLpX+qZMAAQIECBAgUD4CAojy6aWdECBAgAABAgQqRuDAzsfiH2bcGYsef6lle/YNiJZ5OTthgWOHEM3bkLCueU7OIkCAAAECBAgQOJlAWwIID6E+ma73CRAgQIAAAQIE2kWgU89L46bPb4ntzzwc86dNjUnX9I3OR63U8HyImptjyoKH4+ldz8W3pl1w8P39dbH0ygExZNKaqNt74Kgr/EKgvAS6xJlXLozNm5bF2Et6tHBr9fHQ6Otj3tO7W3id0wkQIECAAAECBAgUTsAzIApn6U4ECBAgQIAAAQLtKvD6B/OeHaPXrYtJ1W9r11XdnEDJCOyti4cf+h/x8gvfeN0D2rOw7q/jI30+HFddeW7sXv6fY/DMpw49wL3hwdTXTI3bpl4d1d06lcxWFEKAAAECBAgQIJCOQFu+ASGASKfPKiVAgAABAgQIEDiwPR6u+U8x8VsvRedLFsR3Pn9FnEGFAIHXCQjrXgfiVwIECBAgQIAAgTYItCWAMIKpDfAuJUCAAAECBAgQKLJAp95xxbL18WDNFTHqhk8IH4rMb7lUBN4VA2Z/PuZ//ODYps6XjI7P+aZQKs1TJwECBAgQIECgrAR8A6Ks2mkzBAgQIECAAAECBAgQaBTYHU/PnRVPfvyuuEkA0YjiTwIECBAgQIAAgRYKtOUbEKe2cC2nEyBAgAABAgQIECBAgEASAmfEeZMXxHlJ1KpIAgQIECBAgACBchQwgqkcu2pPBAgQIECAAAECBAgQIECAAAECBAgQIECggwUEEB3cAMsTIECAAAECBAgQIECAAAECBAgQIECAAIFyFDCCqRy7ak8ECBAgQIAAgQ4UqK+vjyefeDK+973vxq9e/lVTJe9+9x/Fhz9yQQz+q8HRtWvXptf9QKCcBDZu2Bg/+P73Y/v27fH73/8+39qpp54af9H/L+LiiwdEn7P6lNN27YUAAQIECBAgQIDACQU8hPqEPN4kQIAAAQIECBBorsC+ffti2dJlsWjhwvySbt1Pj27duzVdXv+LX8Rr//qv8fa3vz3GjrshRowc2fSeHwikLpAFD/Pnzo2f/vSn+VbO7NWraUuvvfZa1P/85/nvF118ccyaMzuqqqqa3vcDAQIECBAgQIAAgVIWaMtDqAUQpdxZtREgQIAAAQIEEhHY9sK2GDViRLz44otxzrn/IT7y0f8YZ7zznW+o/uc//1k89d3vxK4dO+JPP/ShWPVPX/ZtiDcoeSE1gVtvuSXu//I/NQRup8ef9+8f7z/n3Dds4dVXX40fP/e/YssTm+Lt73hHzJw1KwYNHvSG87xAgAABAgQIECBAoNQEBBCl1hH1ECBAgAABAgQqSCAbuTToE5+Mf/vtb+OTf/WpOLPn4U9+H4/h2R8+E9/+r9+MD/btG//0wP1CiONBeb3kBRrDhz+t7hf9L7oo3vzmt5yw5t2/+lU8su7h2LvnlfjSqlXR/8L+JzzfmwQIECBAgAABAgQ6WqAtAcSbOrp46xMgQIAAAQIECKQtMPXmKfHrvXvjmmGfbVb4kO22759+KAZ/+rL40bPPxvRp09IGUH3FCqxdszb/5kMWPlxy6cdPGj5kUNk3g/56+PDo8ta3xn8ZNy6y0WUOAgQIECBAgAABAuUqIIAo187aFwECBAgQIECgCALZ3Psnn3gi+jc8XPdYI5dOVEI2pubDF3w0vv7I16Kuru5Ep3qPQMkJZMHB3NkNz3J4z3vy8KElBWbfkhhy5VXx61//OhbMv7sllzqXAAECBAgQIECAQFICAoik2qVYAgQIECBAgEBpCaxYvjyfe3/+hz/SqsI+fMEF8daGT4Kv/NKXWnW9iwh0lMCGb2zIA4SLB17SqhLe854/ieybE6tWrvQtiFYJuogAAQIECBAgQCAFAQFECl1SIwECBAgQIECgBAWyZz/88Jln4uz3v7/V1WWfBD+74ZsQ2bcgHARSEnh048Y8fMuChNYevfv0yS+t2+obQK01dB0BAgQIECBAgEBpCwggSrs/qiNAgAABAgQIlKzAL37xi7y2Xof+JWprC+3x3vfml257YVtrb+E6AkUX2LJ5c7zvzDPbtG7jA9t/8pMft+k+LiZAgAABAgQIECBQqgICiFLtjLoIECBAgAABAiUu8PxPns8rfEvDtxjacpz29rfnl7+679W23Ma1BIou8PZ3vKPoa1qQAAECBAgQIECAQEoCp6ZUrFoJECBAgAABAgRKR+C0004raDFXXX5FQe/nZgQIECBAgAABAgQIECDQsQICiI71tzoBAgQIECBAIFmBP37PH+e1//bfftumPfzq5Zfz60eOGhXvfNc723QvFxMolsDf33Nv/J9f/7pNy/1bG/+706bFXUyAAAECBAgQIECgCAICiCIgW4IAAQIECBAgUI4CZ511Vr6tHdu2RVsexPvST38a2Sibm6dOKUcmeypTgX/+53+OLZv/W5t29/Of/Sy//v3vP6dN93ExAQIECBAgQIAAgVIV8AyIUu2MuggQIECAAAECJS7QtWvX6H/hhfHsD5+J1n6S+9VXX40fP/e/YsiQISW+W+UROFrg4x//y9i755XYtXPH0W+04LetT/+PPHyr7lfdgqucSoAAAQIECBAgQCAdAQFEOr1SKQECBAgQIECg5AQ+N2JEvPav/xo/fOaZVtW25YlN+XWfHnJZq653EYGOErjwogvjHQ3f3Kn99rdbFcBlwcWuHTti7A1jIwvzHAQIECBAgAABAgTKUUAAUY5dtScCBAgQIECAQJEE+l/YPy66+OLIgoSf/Pi5Fq2anZ99+2HsuHFRXe0T4C3Cc3KHC2ShwT8sXJh/C2LLk0+2qJ7dv/pVbPzG1+Md3brF0GHDWnStkwkQIECAAAECBAikJCCASKlbaiVAgAABAgQIlKDAP963MD7Yt29s+Noj+Tim5pT4g+//9/z8DzUED6NGj2rOJc4hUHICWQB33fDh8cO6rbHx619r1jchfv7zn8Xa1ffHmzt3jgcfesi3H0quqwoiQIAAAQIECBAopMApf2g4mnPD3mf2zE/bvmtnc053DgECBAgQIECAQAUJ7Nu3L6656uqGb0H8OM7s1Sv6nfdncWbPXm8QyL718J0tW/JPjWffnMjCC+Nn3sDkhcQE7llwTyxq+DZEl7e+Nf7iwovinHPPjTe/+S1H7SL71sMzDUFFFla89W1vi/WPPBJ9zupz1Dl+IUCAAAECBAgQIFCKAm3JBgQQpdhRNREgQIAAAQIEEhQYcf3n4qnvfS9OPfXUyB4unR1ZGNF4ZPPusyObmz95ypS4dui1jW/5k0DyAnV1dTHhxpti165d+V6q3vOe6NKlS/5z/S9+kT8rJfvlne98Z/zuwO/iyYYgTviW8/gPAgQIECBAgACBEhdoSwBxaonvTXkECBAgQIAAAQIJCGzcsDE21dbGlGlT85n2m5/cHD/4/vdj586d8bvf/a7h0+BvjsGDB8f5558f2dgaB4FyE8ieY/J4w7NQtr2wLZ5o+POp7z0Vr732WrzpTW+KD/1p3/jwRy5oeF7KRfGLhjDiqsuviGVLl8VN428qNwb7IUCAAAECBAgQIHCUgG9AHMXhFwIECBAgQIAAgZYKZOOXLr/ssvyydQ1jZXyqu6WCzq80gfE33hjr162P//rYY8YwVVrz7ZcAAQIECBAgkKBAW74B4SHUCTZcyQQIECBAgACBUhJYs3p17Ni+I2697XbhQyk1Ri0lKzBx8uS8tjmzZ5dsjQojQIAAAQIECBAgUAgBAUQhFN2DAAECBAgQIFChAvX19bFk8eIYMHCg0UoV+nfAtlsuUFVVlY8ry8aWbdm8peU3cAUBAgQIECBAgACBRAQEEIk0SpkECBAgQIAAgVIUWLp4Sex5ZU/c3PBQaQcBAs0XGDpsWPTq3SvuvOP25l/kTAIECBAgQIAAAQKJCQggEmuYcgkQIECAAAECpSJQV1cXq1aujOuGDzfHvlSaoo5kBLJnpdx40/h8fNmK5cuTqVuhBAgQIECAAAECBFoiIIBoiZZzCRAgQIAAAQIEmgRmzZgR3U/vHuMnTmh6zQ8ECDRfYNDgQfn4smyMWfYwdwcBAgQIECBAgACBchMQQJRbR+2HAAECBAgQIFAEgY0bNsbWp7fGmJoaD54ugrclyldg7Lgb8jFmC+bfXb6btDMCBAgQIECAAIGKFRBAVGzrbZwAAQIECBAg0DqB7JPat94yPZ9fP2LkyNbdxFUECOQC1dXV+RizbJxZNtbMQYAAAQIECBAgQKCcBAQQ5dRNeyFAgAABAgQIFEFgzerV+Se2593tE9tF4LZEBQiMrhmTjzNbtPC+CtitLRIgQIAAAQIECFSSgACikrptrwQIECBAgACBNgrU19fH7Jmz8rn12Se3HQQItF2gqqoqH2e2qbY2svFmDgIECBAgQIAAAQLlIiCAKJdO2gcBAgQIECBAoAgC8+fOzVeZMWtmEVazBIHKEcjGmfXq3SvuvWeBB1JXTtvtlAABAgQIECBQ9gICiLJvsQ0SIECAAAECBAojkM2nX79ufYwdNy6yT2w7CBAorMCtt90eO7bviGzMmYMAAQIECBAgQIBAOQgIIMqhi/ZAgAABAgQIECiCwKQJE/I59aNGjyrCapYgUHkC/S/sn483W7J4cWTjzhwECBAgQIAAAQIEUhcQQKTeQfUTIECAAAECBIogsHbN2vyT2RMnTY6uXbsWcMXXYvvyYXHOmT2jd/7PX8a8ut8U8P5uRSAtgZunTMkf8t447iyt6lVLgAABAgQIECBA4GgBAcTRHn4jQIAAAQIECBB4ncC+ffti/ry50e+8fnHt0Gtf924bfz3wP+OrK5+O/U232RkbvvVcHGj63Q8EKkugz1l98jFn2bizbOyZgwABAgQIECBAgEDKAgKIlLundgIECBAgQIBAEQSWLV2WfyJ76vTpBV/twLPfjg0vHY4foiGKeGnF0nhktwii4NhumIxANuas++ndY9aMGcnUrFACBAgQIECAAAECxxIQQBxLxWsECBAgQIAAAQK5wLYXtsWihQtjyOVDorq6usAqP49H7lsTL+V3PTsGXvK+g/ff/4N49IlfFngttyOQjkA25iwbd7b16a2xccPGdApXKQECBAgQIECAAIHXCQggXgfiVwIECBAgQIAAgcMCc2bPzn+ZOHny4RcL9dPup+LRzXsP3q3HwBjzt5+MHvlve6P23i9HnS9BFErafRIUyMad9erdK269ZXpkY9AcBAgQIECAAAECBFIUEECk2DU1EyBAgAABAgSKILBl85bYVFsbU6ZNjaqqqgKv2PDw6Ycfii359KXO0eNTH4sPfehjMbhH54PrvFQbjz3rYdQFRne7xATm3X13Pv4sG4PmIECAAAECBAgQIJCigAAixa6pmQABAgQIECBQBIE777g9/wT20GHDCr/aUQ+f7hmDP35udOr0gbhy+HlxMIJ4Pr5w3zdjd+FXdkcCyQhkY88GDByYj0Grr69Ppm6FEiBAgAABAgQIEGgUEEA0SviTAAECBAgQIECgSWDF8uWxY/uOuPGm8ZHNoy/0cdTDpxvGL13a920NS3SJ3ldcHf0PfQli/+aHYt321wq9tPsRSEpgxqyZeb3Tp05Lqm7FEiBAgAABAgQIEMgEBBD+HhAgQIAAAQIECBwlkM2bX7J4cf7J60GDBx31XmF+eTk2r3700MOnD45f6tvp0J3PuCA+eWG3g7/sfzq+/JX/GR4FURh1d0lTIBt/lo1By8ah1dXVpbkJVRMgQIAAAQIECFSsgACiYltv4wQIECBAgACBYwssmH9w7vzYcTcc+4S2vrp7Szyw7sVDdzk0fqnpnu+Oiwadf2gM0/54ad1XY/NeEUQTjx8qUiAbg9b99O4xacKEity/TRMgQIAAAQIECKQrIIBIt3cqJ0CAAAECBAgUXCD7hPWqlSvjuuHDI5s/X/jjQOx+4puHHj4d0fmS0fG56mz8UuPRKc4YMjqub3wYdf2j8cDjv2x8058EKlIgG4N2510z8rFoa9esrUgDmyZAgAABAgQIEEhTQACRZt9UTYAAAQIECBBoF4FFC+/LP2k9umZMu9w/DjwTn7/3idif371b9B90QZzx+pU6nRuXfqrnoVf3xpb7N8R2X4J4vZLfK0wgG4fW77x+MX/e3MjGpDkIECBAgAABAgQIpCAggEihS2okQIAAAQIECBRBYOOGjfmc+TE1NZHNnW+P46iHT3c+Pz558buPsczbou9VV0V148Oot34lvvrsb45xnpcIVJbA1OnTY88reyIbk+YgQIAAAQIECBAgkIKAACKFLqmRAAECBAgQINDOAtknqu+9Z0H06t0rRowc2U6r/Sae/Vbt4YdPjxgdl53R+PTpo5fs1HtwfKbxYdSxMx5Z/Z3Ye/QpfiNQcQLZWLQhlw/Jx6Rte2Fbxe3fhgkQIECAAAECBNITODW9klVMgAABAgQIECBQaIE1q1fn8+W/tGpVoW99+H67vxn//4rnD/3e8IDpxVfF2YsPv338n/ZH/bqHonbywLjiOIHF8a/1DoHyEpg4eXI8+eSTMWf27Fjxhc+X1+bshgABAgQIECBAoOwEfAOi7FpqQwQIECBAgACBlgnU19fHksWLY8DAgdH/wv4tu7jZZx/98OlmX9Z44v6n4oGHXwiPgmgE8WelCmTj0bIxaZtqa2PL5i2VymDfBAgQIECAAAECiQgIIBJplDIJECBAgAABAu0lMH/u3Hyu/M1TprTXEhEHXoh19z916OHTrVnm1ahb+Ug8K4FoDZ5rykxg6LBh+bi0O++4vcx2ZjsECBAgQIAAAQLlJiCAKLeO2g8BAgQIECBAoAUCdXV1sX7d+rhu+PDoc1afFlzZslMPPPtIfHnrqwcv6nxpzH96W2zftfOk/zy/bkz0aFzqpUdj7ZMvN/7mTwIVK9C1a9e48abx+di0FcuXV6yDjRMgQIAAAQIECJS+gACi9HukQgIECBAgQIBAuwnMmjEjup/ePcZPnNBua0Qc+fDpiM4XfiIuauazHDr1/VgM7tH5UG0vxvr7t8TudqzUrQmkIjBo8KB8bFo2Pi0bo+YgQIAAAQIECBAgUIoCAohS7IqaCBAgQIAAAQJFENi4YWNsfXprTLGbLPQAAEAASURBVJw0ObJPVLfbsfc7sXbdzkO37xb9B10QZzR3sU4fis/deHE0RhD7H18an6/7TXOvdh6BshYYO+6GfHza0sVLynqfNkeAAAECBAgQIJCugAAi3d6pnAABAgQIECDQaoF9+/bFrbdMz+fIXzv02lbf5+QXNjx8+vGHYn39/oOndj4/Pnnxu09+WdMZneKMiz8R/RsTiNgZG771nIdRN/n4oZIFqqur8/Fpq1aujGycmoMAAQIECBAgQIBAqQkIIEqtI+ohQIAAAQIECBRBYM3q1fknp+fdfXc7r/bLeHLjDw49fLpz9BgxOi5r5vilpsLO6B+fufx9h37dHy+tWBqP7PY06iYfP1S0QDY+LRujtmjhfRXtYPMECBAgQIAAAQKlKSCAKM2+qIoAAQIECBAg0G4C2bz42TNn5fPjs09Qt+dxoO7L8Q+P7z20RM8Y/PFzo1OLF3xXXDjsk4cfRr3/B/HoE79s8V1cQKAcBbLxaWNqamJTbW1kY9UcBAgQIECAAAECBEpJQABRSt1QCwECBAgQIECgCALTp07LV5kxa2Y7r3b0w6ejx8C4tO/bWrXm0Q+j3hu193456nwJolWWLio/gREjR+bj1LKxatl4NQcBAgQIECBAgACBUhEQQJRKJ9RBgAABAgQIECiCQDYnPvuk9Nhx46Kqqqp9Vzzq4dMN45c+9bHo2/KvPxyssdMH4srh5zU9jDpeqo3HnvUw6vZtoLunJHDrbbfnY9Wy8WoOAgQIECBAgAABAqUicMofGo7mFNP7zJ75adt37WzO6c4hQIAAAQIECBAoQYFLL7kk9uzZE09s3hzZ6BYHAQLlIzDi+s/lAeN3nvpe+weM5cNmJwQIECBAgAABAicRaEs24BsQJ8H1NgECBAgQIECgXATWrlkbO7bviDvvmiF8KJem2geBIwQax6rNnzv3iFf9SIAAAQIECBAgQKDjBAQQHWdvZQIECBAgQIBA0QSyufDz582Nfuf1i0GDBxVtXQsRIFA8gWysWjZebf269ZGNW3MQIECAAAECBAgQ6GgBAURHd8D6BAgQIECAAIEiCCyYf3c+H37q9OlFWM0SBAh0lMCo0aOi++ndY9aMGR1VgnUJECBAgAABAgQINAkIIJoo/ECAAAECBAgQKE+BbS9si1UrV8aQy4dEdXV1eW7SrggQyAWyZ7tMnDQ5tj69NbKxaw4CBAgQIECAAAECHSkggOhIfWsTIECAAAECBIogMGf27PwT0RMnTy7CapYgQKCjBa4dem306t0rH7uWjV9zECBAgAABAgQIEOgoAQFER8lblwABAgQIECBQBIEtm7fEptraGFNTE9l8eAcBApUhMO/ug2PXli1dVhkbtksCBAgQIECAAIGSFBBAlGRbFEWAAAECBAgQKIzAnXfcnn8SeuiwYYW5obsQIJCEQDZuLRu7tmjhwqivr0+iZkUSIECAAAECBAiUn4AAovx6akcECBAgQIAAgVxgxfLlsWP7jrjxpvGRzYV3ECBQWQKNY9emT51WWRu3WwIECBAgQIAAgZIREECUTCsUQoAAAQIECBAonED2ieclixfHgIEDY9DgQYW7sTsRIJCMQDZ2bcq0qfkYtrq6umTqVigBAgQIECBAgED5CAggyqeXdkKAAAECBAgQaBJYunhJ7HllT4wdd0PTa34gQKDyBLLxa91P7x6TJkyovM3bMQECBAgQIECAQIcLCCA6vAUKIECAAAECBAgUViD7pPOqlSvjuuHDI5sD7yBAoHIFsvFrd941Ix/Hlo1lcxAgQIAAAQIECBAopoAAopja1iJAgAABAgQIFEFg0cL78k88j5/oE89F4LYEgZIXyMaw9TuvXz6Wbd++fSVfrwIJECBAgAABAgTKR0AAUT69tBMCBAgQIECAQGzcsDGf9z6mpsaDp/19IECgSWDq9On5WLYF8+9ues0PBAgQIECAAAECBNpbQADR3sLuT4AAAQIECBAokkD2yeZ771kQvXr3ihEjRxZpVcsQIJCCQDaOLRvLlo1n2/bCthRKViMBAgQIECBAgEAZCAggyqCJtkCAAAECBAgQyATWrF6dz3m/9bbbgRAgQOANAqNrxuTj2ebMnv2G97xAgAABAgQIECBAoD0EBBDtoeqeBAgQIECAAIEiC9TX18fsmbNiwMCB0f/C/kVe3XIECKQgUFVVFdl4tk21tbFl85YUSlYjAQIECBAgQIBA4gICiMQbqHwCBAgQIECAQCYwf+7cHOLmKVOAECBA4LgCQ4cNy8e03XnH7eGB1Mdl8gYBAgQIECBAgECBBAQQBYJ0GwIECBAgQIBARwnU1dXF+nXrY+y4cdHnrD4dVYZ1CRBIQKBr165x403j83Ft2dg2BwECBAgQIECAAIH2FBBAtKeuexMgQIAAAQIEiiAwa8aMfK77qNGjirCaJQgQSF1g0OBB+bi2JYsXRza+zUGAAAECBAgQIECgvQQEEO0l674ECBAgQIAAgSIIbNywMbY+vTUmTpoc2SebHQQIEGiOQDaubc8re2Lp4iXNOd05BAgQIECAAAECBFolIIBoFZuLCBAgQIAAAQIdL5DNb7/1lun5PPdrh17b8QWpgACBZASycW3XDR8eq1aujGyMm4MAAQIECBAgQIBAewgIINpD1T0JECBAgAABAkUQWLZ0Wf4J5nl3312E1SxBgEC5CYyfOCEf35aNcXMQIECAAAECBAgQaA8BAUR7qLonAQIECBAgQKCdBbK57YsWLsznuFdXV7fzam5PgEA5CmRj28bU1ORj3LJxbg4CBAgQIECAAAEChRYQQBRa1P0IECBAgAABAkUQmD51Wr7KjFkzi7CaJQgQKFeBESNH5mPcsnFu2Vg3BwECBAgQIECAAIFCCgggCqnpXgQIECBAgACBIghk89o31dbGlGlTo6qqqggrWoIAgXIWyMa4ZQ+kXrN6dTlv094IECBAgAABAgQ6QEAA0QHoliRAgAABAgQItEVg0oSDc9uHDhvWltu4lgABArlANsZtwMCBMXvmrMjGuzkIECBAgAABAgQIFEpAAFEoSfchQIAAAQIECBRBYMXy5bFj+464864Zkc1vdxAgQKAQAo3j3ObPnVuI27kHAQIECBAgQIAAgVxAAOEvAgECBAgQIEAgEYFsPvuSxYuj33n9YtDgQYlUrUwCBFIQyMa5jR03LtavWx/ZmDcHAQIECBAgQIAAgUIICCAKoegeBAgQIECAAIEiCCyYf3BO+9Tp04uwmiUIEKg0gVGjR0X307tHNubNQYAAAQIECBAgQKAQAgKIQii6BwECBAgQIECgnQW2vbAtVq1cGdcNHx7ZvHYHAQIECi2QjXWbOGlyPuZt7Zq1hb69+xEgQIAAAQIECFSggACiAptuywQIECBAgEB6AnNmz84/mTy6Zkx6xauYAIFkBK4dem0+5m3+vLmRjX1zECBAgAABAgQIEGiLgACiLXquJUCAAAECBAgUQWDL5i2xqbY2xtTURDan3UGAAIH2FMjGvO15ZU8sW7qsPZdxbwIECBAgQIAAgQoQEEBUQJNtkQABAgQIEEhXIPsE8p133B69eveKocOGpbsRlRMgkIxANuZtyOVDYtHChVFfX59M3QolQIAAAQIECBAoPQEBROn1REUECBAgQIAAgSaBNatX5/PYb7xpfGTz2R0ECBAohsDEyZPzZaZPnVaM5axBgAABAgQIECBQpgICiDJtrG0RIECAAAEC6QtknzxesnhxDBg4MAYNHpT+huyAAIFkBLJxb1OmTc3Hv2Vj4BwECBAgQIAAAQIEWiMggGiNmmsIECBAgAABAkUQWLp4ST6H/eYpU4qwmiUIECBwtEA29q376d3zMXBHv+M3AgQIECBAgAABAs0TEEA0z8lZBAgQIECAAIGiCtTV1cWqlSvjuuHDo89ZfYq6tsUIECCQCWRj3+68a0Y+Bm7F8uVQCBAgQIAAAQIECLRYQADRYjIXECBAgAABAgTaX2DRwvvyTx6Pnzih/RezAgECBI4jkI1/y8bAZePg9u3bd5yzvEyAAAECBAgQIEDg2AICiGO7eJUAAQIECBAg0GECGzdszOeuj6mp8eDpDuuChQkQaBQYO+6GfBzcgvl3N77kTwIECBAgQIAAAQLNEhBANIvJSQQIECBAgACB4ghknzC+9Zbp0at3rxgxcmRxFrUKAQIETiBQXV2dj4PLxsJte2HbCc70FgECBAgQIECAAIGjBQQQR3v4jQABAgQIECDQoQJrVq/OP2l86223d2gdFidAgMCRAqNrxuRj4ebMnn3ky34mQIAAAQIECBAgcEIBAcQJebxJgAABAgQIECieQH19fcyeOSuft97/wv7FW9hKBAgQOIlAVVVVZGPhNtXWRjYmzkGAAAECBAgQIECgOQICiOYoOYcAAQIECBAgUASB+XPn5qvMmDWzCKtZggABAi0TyMbCZePh7r1ngQdSt4zO2QQIECBAgACBihUQQFRs622cAAECBAgQKCWBurq6WL9ufYwdNy6yTxo7CBAgUIoC2Xi4Hdt3RDYuzkGAAAECBAgQIEDgZAICiJMJeZ8AAQIECBAgUASBWTNm5PPVR40eVYTVLEGAAIHWCWTj4QYMHBhLFi+ObGycgwABAgQIECBAgMCJBAQQJ9LxHgECBAgQIECgCAJr16yNrU9vjYmTJkfXrl2LsKIlCBAg0HqBm6dMiT2v7InGsXGtv5MrCRAgQIAAAQIEyl1AAFHuHbY/AgQIECBAoKQF9u3bF/Pnzc3nql879NqSrlVxBAgQyAT6nNUnrhs+PB8bl42PcxAgQIAAAQIECBA4noAA4ngyXidAgAABAgQIFEFg2dJl+SeJ5919dxFWswQBAgQKIzB+4oR8bFw2Ps5BgAABAgQIECBA4HgCAojjyXidAAECBAgQINDOAtn89EULF8aQy4dEdXV1O6/m9gQIECicQDYuLhsbl42P27hhY+Fu7E4ECBAgQIAAAQJlJSCAKKt22gwBAgQIECCQksD0qdPycidOnpxS2WolQIBALpCNjevVu1fcesv0yMbJOQgQIECAAAECBAi8XkAA8XoRvxMgQIAAAQIEiiCwZfOW2FRbG1OmTY2qqqoirGgJAgQIFF4gGx+XPZB6zerVhb+5OxIgQIAAAQIECCQvIIBIvoU2QIAAAQIECKQocOcdt+fz04cOG5Zi+WomQIBALpCNjxswcGDMnjkrsrFyDgIECBAgQIAAAQJHCgggjtTwMwECBAgQIECgCAIrli+PHdt3xJ13zYhsjrqDAAECKQvMmDUzL79xrFzKe1E7AQIECBAgQIBAYQUEEIX1dDcCBAgQIECAwAkFsjnpSxYvzj8xPGjwoBOe600CBAikIJCNkRs7blw+Vq6uri6FktVIgAABAgQIECBQJAEBRJGgLUOAAAECBAgQyAQWzD84L33suBuAECBAoGwERo0elY+VmzRhQtnsyUYIECBAgAABAgTaLiCAaLuhOxAgQIAAAQIEmiWw7YVtsWrlyrhu+PDI5qY7CBAgUC4C2Ti5bKxcNl5u7Zq15bIt+yBAgAABAgQIEGijgACijYAuJ0CAAAECBAg0V2DO7Nn5J4RH14xp7iXOI0CAQDIC2Vi5fuf1i/nz5kY2bs5BgAABAgQIECBAQADh7wABAgQIECBAoAgCGzdszOejj6mpiWxeuoMAAQLlKDB1+vTY88qeWLZ0WTluz54IECBAgAABAgRaKCCAaCGY0wkQIECAAAECLRXIPgl87z0LolfvXjF02LCWXu58AgQIJCOQjZcbcvmQWLRwYWRj5xwECBAgQIAAAQKVLSCAqOz+2z0BAgQIECBQBIE1q1fnc9Fvve32yOakOwgQIFDOAhMnT863l42dcxAgQIAAAQIECFS2gACisvtv9wQIECBAgEA7C9TX18eSxYtjwMCB0f/C/u28mtsTIECg4wWyMXNTpk3Nx85t2byl4wtSAQECBAgQIECAQIcJCCA6jN7CBAgQIECAQCUILF28JJ+HfvOUKZWwXXskQIBALpCNm8vGzt15x+1ECBAgQIAAAQIEKlhAAFHBzbd1AgQIECBAoH0F6urqYtXKlXHd8OHR56w+7buYuxMgQKCEBLJxczfeND4fP7di+fISqkwpBAgQIECAAAECxRQQQBRT21oECBAgQIBARQnMmjEjup/ePcZPnFBR+7ZZAgQIZAKDBg/Kx89lY+j27dsHhQABAgQIECBAoAIFBBAV2HRbJkCAAAECBNpfYOOGjbH16a0xpqbGg6fbn9sKBAiUqMDYcTfkY+gWzL+7RCtUFgECBAgQIECAQHsKCCDaU9e9CRAgQIAAgYoUyD7pe+st0/P55yNGjqxIA5smQIBAJlBdXZ2PocvG0WVj6RwECBAgQIAAAQKVJSCAqKx+2y0BAgQIECBQBIE1q1fnn/idd7dP/BaB2xIECJS4QDaGLhtHt2jhfSVeqfIIECBAgAABAgQKLSCAKLSo+xEgQIAAAQIVLVBfXx+zZ87K555nn/x1ECBAoNIFsgdSZ+PoNtXWRjaezkGAAAECBAgQIFA5AgKIyum1nRIgQIAAAQJFEJg/d26+yoxZM4uwmiUIECCQhkA2jq5X715x7z0LPJA6jZapkgABAgQIECBQEAEBREEY3YQAAQIECBAgEPl88/Xr1sfYceOiqqoKCQECBAgcIXDrbbfHju07IhtT5yBAgAABAgQIEKgMAQFEZfTZLgkQIECAAIEiCEyacHDO+ajRo4qwmiUIECCQlkD/C/vn4+myMXXZuDoHAQIECBAgQIBA+QsIIMq/x3ZIgAABAgQIFEFg7Zq1+Sd7J06aHNm8cwcBAgQIvFHg5ilT8hcbx9W98QyvECBAgAABAgQIlJOAAKKcumkvBAgQIECAQIcI7Nu3L+bPmxv9zusX1w69tkNqsCgBAgRSEOhzVp98TF02rq6uri6FktVIgAABAgQIECDQBgEBRBvwXEqAAAECBAgQyASWLV0We17ZE1OnTwdCgAABAicRyMbUdT+9e8yaMeMkZ3qbAAECBAgQIEAgdQEBROodVD8BAgQIECDQoQLbXtgWixYujCGXD4nq6uoOrcXiBAgQSEEgG1OXjavb+vTW2LhhYwolq5EAAQIECBAgQKCVAgKIVsK5jAABAgQIECCQCcyZPTuHmDh5MhACBAgQaKZANq6uV+9ecest0yMbY+cgQIAAAQIECBAoTwEBRHn21a4IECBAgACBIghs2bwlNtXWxpRpU6OqqqoIK1qCAAEC5SMw7+678/F12Rg7BwECBAgQIECAQHkKCCDKs692RYAAAQIECBRB4M47bs8/wTt02LAirGYJAgQIlJdANrZuwMCB+Ri7+vr68tqc3RAgQIAAAQIECOQCAgh/EQgQIECAAAECrRBYsXx57Ni+I268aXxk88wdBAgQINBygRmzZuYXTZ86reUXu4IAAQIECBAgQKDkBQQQJd8iBRIgQIAAAQKlJpDNK1+yeHH+yd1BgweVWnnqIUCAQDIC2fi6bIxdNs6urq4umboVSoAAAQIECBAg0DwBAUTznJxFgAABAgQIEGgSWDD/4NzyseNuaHrNDwQIECDQOoFsjF3307vHpAkTWncDVxEgQIAAAQIECJSsgACiZFujMAIECBAgQKAUBbJP6K5auTKuGz48svnlDgIECBBom0A2xu7Ou2bkY+3Wrlnbtpu5mgABAgQIECBAoKQEBBAl1Q7FECBAgAABAqUusGjhffkndUfXjCn1UtVHgACBZASycXb9zusX8+fNjWzMnYMAAQIECBAgQKA8BAQQ5dFHuyBAgAABAgSKILBxw8Z8TvmYmprI5pY7CBAgQKBwAlOnT489r+yJbMydgwABAgQIECBAoDwEBBDl0Ue7IECAAAECBNpZIPtE7r33LIhevXvFiJEj23k1tydAgEDlCWRj7YZcPiQfc/f/2LsTOCuv8mDgT0QMbSGBRNtpjIYtMdHP1CFurYWEibEpuJAVMBq+KgSQ8NXIvpiFsC/Gr4QCARPBKpAVlxBrmiEBrflqw2hSGzVsiUkcGwmY0Iqh1G/OC0PAsMx65733/s/vh3Pn3vc95zn/c8fR+8x5zuanNpcfgBkTIECAAAECBEpQQAKiBBfVlAgQIECAAIGWF1i9alVWn/z6G25s+c71SIAAAQKZwLgJE7Iyd7NnzSJCgAABAgQIECBQAgISECWwiKZAgAABAgQItK5AbW1tLFm8OPpWVUXvPr1bdzC9EyBAoIwFUnm7VOZufXV1bNywsYwlTJ0AAQIECBAgUBoCEhClsY5mQYAAAQIECLSiwLw5c7K65BMnTWrFUXRNgAABAklg0ODBWbm7aTfd6EBqbwkCBAgQIECAQJELSEAU+QIKnwABAgQIEGhdgZqamlh739q4esiQ6Hlmz9YdTO8ECBAgEB07dozrPjcmK3uXyt9pBAgQIECAAAECxSsgAVG8aydyAgQIECBAoAACM6dPz+qRjxk3tgCjGYIAAQIEkkC//v2ysnep/F0qg6cRIECAAAECBAgUp4AERHGum6gJECBAgACBAgisu39dbHpsU4wbPyH7i9wCDGkIAgQIEDggkMre7XxxZyxdvIQJAQIECBAgQIBAkQpIQBTpwgmbAAECBAgQaF2B3bt3x/Wfn5rVIR84aGDrDqZ3AgQIEHiNQCp7l8rfrVyxIlI5PI0AAQIECBAgQKD4BCQgim/NREyAAAECBAgUQCDVHU9/eTt3/vwCjGYIAgQIEDiSQCp/1+WULrFo4a1HetlzBAgQIECAAAECOReQgMj5AgmPAAECBAgQKLxAqjc+a8bMrP54ZWVl4QMwIgECBAhkAulA6hEjR8b66upIZfE0AgQIECBAgACB4hKQgCiu9RItAQIECBAgUACBqZOnZKNMnzmjAKMZggABAgSOJTB02LCsHF4qi5fK42kECBAgQIAAAQLFIyABUTxrJVICBAgQIECgAAKpznj6S9tRo0dHRUVFAUY0BAECBAgcT+D6G27MyuKl8ngaAQIECBAgQIBA8QhIQBTPWomUAAECBAgQKIDA+LH7641fM/yaAoxmCAIECBBoiEDvPr2zsnipPF4qk6cRIECAAAECBAgUh4AERHGskygJECBAgACBAgisWb0mtm7ZGtNunh6p7rhGgAABAvkRqC+LN2/OnPwEJRICBAgQIECAAIFjCkhAHJPHiwQIECBAgEC5CKS64vPmzole5/WKfv37lcu0zZMAAQJFI5DK4qXyeGvvWxupXJ5GgAABAgQIECCQfwEJiPyvkQgJECBAgACBAggsmDc/qy8+eerUAoxmCAIECBBoikAqj9fllC4xc/r0ptzuHgIECBAgQIAAgQILSEAUGNxwBAgQIECAQP4ENj+1OVauWBEDLhkQlZWV+QtQRAQIECCQCaTyeOPGT4hNj22KVDZPI0CAAAECBAgQyLeABES+10d0BAgQIECAQAEEZs+alf1F7bgJEwowmiEIECBAoDkCAwcNjO49umdl81L5PI0AAQIECBAgQCC/AhIQ+V0bkREgQIAAAQIFENi4YWOsr66OESNHRqovrhEgQIBA/gXmzt9fNu+2pbflP1gREiBAgAABAgTKWEACoowX39QJECBAgACBiGk33Zj9Je2gwYNxECBAgECRCKRyeals3qKFC6O2trZIohYmAQIECBAgQKD8BF5fflM2YwIECBAgQKAgAvu2xfoV/xRbXvh/ccfih+Kwj4fanxtXjPlw9HzTu+Pyyyqjc0ECeu0gy5cti61btsbCRYsi1RXXCBAgQKB4BFLZvLX3rY2pk6fE8tu/VDyBt1SkRfB7tqWmqh8CBAgQIECgeAVO+F1da0j4Pbp2yy7bsn1bQy53DQECBAgQIFCuArtq4t6li2LB7ycdjuZRcWGMmjkl/raqW7Q72jWt8Hz6i9kP9+sX73pXZXl+cNUKprokQIBAoQVSInnWjJlx9333RtoVURatSH7PlsVamCQBAgQIECgTgebkBiQgyuRNYpoECBAgQKD1BfbE9gfnxGc/8+V4Ym9jR+sU7/z47Pjizf2ia4GyEDfdcGOsXLGivD60auyyuJ7AkQS2LYsBfWfGE0d67ajPnR5VIz8R7+v53jbd9XTU8LxQtALpEOoL+vSJLl26xIMPPVS082hY4MX1e7Zhc3IVAQIECBAgUAwCzUlAOAOiGFZYjAQIECBAoEUE9sb2ZVdG+h8O6d87xq+PRucJjhpH3Yci94yLq4b9XvKhbnfD8Ck3x/L1T0baRbn/3+Z47L5bYtLIC+PVI59fjie+9tm4atKDseuoY7TcCzU1NVny4eohQ8rnL2Zbjk9PBJog8GxUL54ds8ZcGue9/5pYXrOjCX24hcBrBVL5vGk3T8/K6aXdEG3b/J5tW3+jEyBAgAABAnkUkIDI46qIiQABAgQIFJXAgeTDmG+9es5DOuNh7r3x2KPLY/ywT0Tfbh0OmVG76Fw5IIZOWB4b1i+KQed2OvDa3qi9c0bMrn7hkGtb5+GihbdGl1O6xJhxY1tnAL0SIHB0gdoHY9aV18byLXuOfo1XCDRCoF//ftG3qiqWLF4caUdE6bXi+z1bemtgRgQIECBAgEBTBRxC3VQ59xEgQIAAAQKZwL4tX4mxEw9JPlRcFJMWz4qhlaceV6hdt34xY2X72HfxqLirNu3HeDrumnxL/NW3b46+nZtWi2nd/eviO9/5x9jw8CPx61//+mAM7zz33Ohz/vlRUVER66urY9KUyQ6ePqjjQakIpA9fNzyyIb79wAN1Xx+Jl19++eDU/vwDfxEf+chH4/wL9v8cHHyhOQ86XBnLn5gTfdsfu5N929bXHUb/xZh/5+P7d17tfTTmj/tK9L1rWPRo2o/6sQf0atkJjBp9bVx+yaUxe+asSP99/8C6dbFxw4bDHHrXlWr667qzf/p/uH9R/fd/3n7PHobqGwIECBAgQIDAcQQkII4D5GUCBAgQIEDgGAL7fhJ3jFsYNfW1nNq/PyZ99e9iaI9Ddzwc4/70UueqmDjz8tj4qVX7d1DUPhBfe+ja6HvZace58fCXN27YGDd8/vPx9NNPR4c/+IPoWldm6tzKXtlFv92zJ5555ulYtHBh9v3JnTvH0GHDDu/AdwSKXCD9DIweNeqwpMOhU/r+9/450r/UUgKukD8D7br1jaFzz43KU4fFVYtrsiTE3k1fjWWPDIjZVW86NEyPCTRJIB1A/f4///NYs3p1rPra16Jzl1Piz+p+B5x08slZfy/VJaSfeOLfsqTE7FmzYuKkSTFw0MAmjVXQm3L0e7ag8zYYAQIECBAgUDICEhAls5QmQoAAAQIECi2wL3Y9sjLu2FT/F9adonL8DfE3jUk+ZCHXlWQ6/7L42Ol3x9JnUyZjV2xc92jsuOzSOP4eiv1zTrse0gevKfHQ/6Mfi7edfc4RMXb86lfxyMPVsX3r1ris7i9lV3xlZVH9FewRJ+VJAnUCX1jwhYMJtoaAzJoxM7678btx698vKuDPwKlx3tgp8alvDj7ws/58fP8Hz8S+ugSETRANWTXXHEvg+roE9KPf/35UnHZaXFB1YZx22puPePnzzz8XD1c/FJMnTowf//jf6s6PuPmI1+Xjydb9PRt1v2c1AgQIECBAgEBrCzgDorWF9U+AAAECBEpW4JdR/dUHXj334fSrYsqnzm7aB4ntzomLPtLtoNTenz4Vz+w7+O0xH9QnH9KHTkOHjzhq8iF1cuob3xiXXn5lfPCvLo4f1h1EPeSTVx+zby8SKAaBdPBu/e6exsSbytNc+5lRjbml+de26xHv+Yv61OLeePZ7m+Lnze9VD2UucNMNN8ZXv/IP2Y6Hj3/i6qMmHxJTSkyka9LuiHRPSlzkt7Xu79n8zltkBAgQIECAQCkJSECU0mqaCwECBAgQKKTAjkfjgQ27DozYOaqu+2RUNvnPmE+Mt/Y8Iw6Wkf/Vi7Hrf44/mdra2mznQ0o+XH7lwHjDG048/k11V5z7Z+86mIRIH95qBIpVoKYukZZ2MzS1pSSEn4Gm6rkvDwKp9NjKFSuyhMKFF32owSGla+uTECmRncvWyr9nczlnQREgQIAAAQIlJ6AEU8ktqQkRIECAQLkLLP/oOTHr8T3HZdhz56fi7DuPctlxD5bdFzse/nZsTBWTUmv/nvjrC/5k/+Mm/We7OKlLl2z3RH2XDekm1fFO7SMfu6TByYf6flMSYvNTP8s+vP3wRz6SHU5d/5qvBIpFYMH8+XHCCSfE7373uyaHvPD//l0MGjy4QKWY/it27nj1v5/av+nU6NTkyN1IIOLG66/Pznvoff75jeZISYint2+PeXPmRL/+/Rp4/89ieV2pv3L5PdtAFJcRIECAAAECBI4qYAfEUWm8QIAAAQIECBxd4LfxzOans4Nks2vOeU/0OrXJ2x+OPswxXkm7H7759W9kf8HaqVPTPsI8/4KqbIRHHn7kGCN5iUA+BTY/tTk7VLo5yYc0s927d8f937q/MJPc9eP4lx//54Gx2sefnHVGdC7MyEYpQYG0+2F7XQLhA717NzoJXc+R7n3mmWcif7sg2v73bL2RrwQIECBAgACB5ghIQDRHz70ECBAgQKBsBXbFtp/9x8HZdzi7Z7z54HdNebA3ntuyLV79u+jj97HpsU3ZRe+qq+Pd1JbOhEjlmx5Yl9PyG02dmPvKQuCxxx5rsXl+77vfbbG+jtrRvi1x7/hpcVdt/T6nbtH/Q+c07dyYow7ihXIS+MEPfpBNt1v37k2e9tvOPie79wf/8i9N7qN1bmz737OtMy+9EiBAgAABAuUmoARTua24+RIgQIBAyQsM/caTMfSIs9wb25ddFRfO2P+BTYcrb48fzu376rkLR7znaE/ujhdfqE8XdIgzz3xzE/up7/8/Y9tThxxFe1bP6HbwQIj6aw7/+vzzz2VPpCRCc9pb33pGpDr4GoFiE/jJk0+2WMg1m/Yn9Fqsw0M72rct1q/4Vvzj2mVx1+MvH3ilfVRcOTauqfzDQ6/0mECjBP7tiSeyJHJDz/85Wudd6xIYW7ZsOdrLv/f8WVEqv2d/b2K+JUCAAAECBAi0ioAERKuw6pQAAQIECBBolEDdX0b/4J93HLilfZz+gV7xluN08OS//3tW9/s4lx335RM7dDjuNS4gkEeBn//8kKRdMwN8/vnnm9bDnjtj6Jl3Nv7eistj+uQq5ZcaL+eOQwReeeWV6NBC/x3+P//zP4f0XIIPj/B7tgRnaUoECBAgQIBADgWUYMrhogiJAAECBAjkX6BjnPKm+g/u98XOF1+OfU0Oel/seuSe+PqzjSvL8ubT3xK7dr7Y5FHdSIBAWwjU7Xy48P/E8lXXR9/OhT03pi1ma8zWFXjd60r5/862/u/Z1l0dvRMgQIAAAQIE9guU8v9is8YECBAgQIBAqwl0jm5n/fGB3vfGL3/2dOxq6lj7noq7b/1W1Nbff3pVXHTu8cuynHTS/oOnX3nlt/V3NunrC7/8Zbz1rW9t0r1uItCWAm9/xztabPj3vu99LdbXaztKSYdrYtKU62Pefd+P733puujbrT6B+dqrPUOgoQJvetMbo/YXv2jo5Ue9bs+ePXWHWL/hqK+3zQtt/3u2beZtVAIECBAgQKDUBCQgSm1FzYcAAQIECBRE4MR4a88zDp77sHfDt+ORHUffA7Fvyx0x4po5cW9NfZml+iDT7oeVccem+rrwnaPquk9GZQP+MPq8d78762Tb1q31nTXp6/bt26LXeU0/yLpJg7qJQAsInH322S3Qy/4umtxXhytj+VPbYkvdz9HR//2sLukwKYYO+5u4tPLUFotZRwTe+773x57f/CZ2/OpXTcZ4+eWXo7auBNlffOAvmtxH69zY9r9nW2deeiVAgAABAgTKTUACotxW3HwJECBAgECLCLSLUy+4OHrXHxS99+FYMKf6KLsg/isev3t1PPidJTHukgEx4p4tB8s17dt2T0ycfPfB3Q/te30mJg44rUERVlZWxsknnxw//rcnGnT9kS766U+ezD68uvCDFx3pZc8RyLVAn/P7xB/90R+1SIwfHfCxFulHJwQKKXD+Bednw/2wpumHqP/Lo9/P+vjwRz5SyNAbMFbb/55tQJAuIUCAAAECBAgcV0AC4rhELiBAgAABAgSOKHBq7/j4JWcceGlv1N45I2ZXv/DaS3d9L9bct+3A88/Gg2MuicvmfD92bLszRg2eGg/WHjj7of37Y+y8T0aPBux+qB/kM9eOiu11OyAe/9EP659q8NdUuumhB78TXbt2jX79+zX4PhcSyItAx44d4/989m+bFc4JJ5wQf173l98poacRKDaBioqKuHrIkPhRXQLi+eefa3T4aedEuvf8Cy6I1FfuWg5+z+bOREAECBAgQIBA0Qmc8Lu61pCoe3Ttll2WtlZrBAgQIECAAIEksG/Lshh48cyoqT8/Ok6PqilfjHnDzovOB4nqyizVfDPWrLojbrnz8Th46cHX6x60r4zhq5fF+PMaX57l0gGXxI9++MMY8qmhceob33hor0d9nJIPd9+5Jiu7cfd99/rw9ahSXsi7wO7du6P/xX8dzz33XDTwf9a/Zkr/+OCD0fPMnq95/qhPbFsWA/rOjGzvUSrB9MSc6Fu/G+qoN3mBQOsIpJ+BPh/4y/jtK6/EwMFXNfj3QCq99JUv356d/fDAP347nwmIOrI8/J5tnZXTKwECBAgQIFBMAs3JDdgBUUwrLVYCBAgQIJAzgXY9PhnzZ384Xv270Wejesbl8f6PToil99QcKMnULjpXDojhs74Yi6+98JBrD0ymGcmH1MPfL1kcJ3fuHCtuX96gnRDpL17rkw8LFy2SfMjZe0o4jRNIuyC+dMcd0alTp0i7GRrb0s9Ao5IPjR3A9QRaWSD9DNx5993xhvbt6xLdX43t245/LlDaLZGSD+n8iL9buDC3yYdEl4ffs628hLonQIAAAQIESlzADogSX2DTI0CAAAECrS+wJ7bfMy6uGvOtg2c5NHzMirji9gdidtWr+yUafu+rV9bW1sZnRozMdkJ07nJKfKB37zjtzadnH8rWX5U+lNqyeXNWbqNDhw4xb8ECpZfqcXwteoHNT22Oz/7t38aT//7vDZpL+tD21r//++jdp3eDrj/sIjsgDuPwTT4E0s/A1Z/4RPzyl7+Mrt27xzv+1zujW93XN7zhxCzAtPPt+bqdQpse+9esdF86Q+hLX76jSJLQbf97Nh+rLAoCBAgQIECgrQSaswNCAqKtVs24BAgQIECgxAT2bXsw/u/0abHooWcbN7Nm7oA4dLDly5bFV7/yD/HMM88c+vRhj9MHUtvqzo34Xt3Bo7ms+X1YtL4h0HCBVIpm9apVcevfLYxUXuZoLdXMHz5yRNPf/xIQR6P1fBsKpPf/x+oOkn7p1y/Ff//3f8dLL710xGhOOumkGHDJJTFm3NhIibhiann4PVtMXmIlQIAAAQIEWk5AAqLlLPVEgAABAgQINFdgV03ce9e/xgtPfev3znyoOx9i5CfifT3fG5dfdk7sWPY30X/GowfOhOgU77xyctww+Yqo7NyIU6iPEmtNTU089q//etirp5325uhzfp9IH1J94P1/Hn2rqmL57V867BrfECgVgSP9DLztbWdHZa/K5n/oKgFRKm+TkppHSkDPmjEzUlmxfv37xcYNG+OnP/3JYXNssZ+Bw3ptg29y8Hu2DWZtSAIECBAgQKANBSQg2hDf0AQIECBAgEBTBV6I9eOviKF3Pn2gg7Ni+H33xfjKP2xqhw2+r/6Dqi+vXNm0EjQNHsmFBEpQQAKiBBe1uKeUyvB9uF+/eNe7KiWWD1vKtvs9e1gYviFAgAABAgSKXqA5CQiHUBf98psAAQIECBAoVoE3Rd9ZX4p5Hzo9m0D7C4fHpwuQfEiDDRo8OLqc0iWm3XRjNrb/IECAAIHiFVi6eEnsfHFnTJw0qXgn0SqRt93v2VaZjk4JECBAgACBohSQgCjKZRM0AQIECBAoEYF2PeLS29bGnSMvjWuuvThOLdC0Ut3vaTdPj61btkbaDaERINAIgW7DYu32bbEl/fvJnOjbvhH3upRACwukcmMrV6yIdLZJzzN7tnDvJdBdG/2eLQE5UyBAgAABAgRaSMAh1C0EqRsCBAgQIECg+ASGfurT8cMf1sTDGzY0vy5+8U1fxAQIECh6Af89XvRLaAIECBAgQIBAEQgowVQEiyREAgQIECBAIH8Co0Zfm5XtWDBvfv6CExEBAgQIHFNg3f3rYn11dYwYOVIS+ZhSXiRAgAABAgQItJ2AEkxtZ29kAgQIECBAoI0FKisrs7IdqXzH5qc2t3E0hidAgACBhgrs3r07rv/81Ojeo3sMHTasobe5jgABAgQIECBAoMACEhAFBjccAQIECBAgkC+B4SNHZAdSz541K1+BiYYAAQIEjiqwetWqbAfb9TfceNRrvECAAAECBAgQIND2AhIQbb8GIiBAgAABAgTaUKCioiIr35HKeKRyHhoBAgQI5FugtrY2Zs2YGX2rqqJ3n975DlZ0BAgQIECAAIEyF5CAKPM3gOkTIECAAAECEYMGD87KeNzyhQWRynpoBAgQIJBfgXlz5mTBTZ85I79BiowAAQIECBAgQCATkIDwRiBAgAABAgTKXqBjx46Rynhs3bI1UlkPjQABAgTyKVBTUxNr71sbo0aPjrSDTSNAgAABAgQIEMi3gAREvtdHdAQIECBAgECBBFIZj1TOY8nixZHKe2gECBAgkD+BmdOnZ+f2XDP8mvwFJyICBAgQIECAAIHXCEhAvIbEEwQIECBAgEC5CkycNCk71LS+vEe5Opg3AQIE8iiwZvWa2PTYphg3fkKknWsaAQIECBAgQIBA/gUkIPK/RiIkQIAAAQIECiTQ88yecfWQIVl5j1TmQyNAgACBfAik83nmzZ2TndczcNDAfAQlCgIECBAgQIAAgeMKSEAcl8gFBAgQIECAQDkJjBk3Nivvkcp8aAQIECCQD4Hblt6W7VCbO39+PgISBQECBAgQIECAQIMEJCAaxOQiAgQIECBAoFwEUlmPVN4jlflYd/+6cpm2eRIgQCC3AulcnkULF8aASwZEZWVlbuMUGAECBAgQIECAwGsFJCBea+IZAgQIECBAoMwFUnmP7j26x/Wfnxqp7IdGgAABAm0nMHXylGzwcRMmtF0QRiZAgAABAgQIEGiSgAREk9jcRIAAAQIECJS6QCrzsfPFnbF61apSn6r5ESBAILcCGzdsjPXV1TFpyuSoqKjIbZwCI0CAAAECBAgQOLKABMSRXTxLgAABAgQIlLlAKvPRt6oqZs2YGan8h0aAAAEChReYdtON2bk8gwYPLvzgRiRAgAABAgQIEGi2gAREswl1QIAAAQIECJSqwPSZM7Kp1Zf/KNV5mhcBAgTyKLB82bLYumVrTLt5eqTzeTQCBAgQIECAAIHiE5CAKL41EzEBAgQIECBQIIFU7mPU6NFZ+Y+ampoCjWoYAgQIEEjn7yxZvDjbidavfz8gBAgQIECAAAECRSogAVGkCydsAgQIECBAoDAC1wy/Jiv/MX7s2MIMaBQCBAgQiAXz9p/DM2r0tTQIECBAgAABAgSKWEACoogXT+gECBAgQIBA6wuksh+p/EcqA7Jm9ZrWH9AIBAgQKHOBzU9tjpUrVsTVQ4ZEOo9HI0CAAAECBAgQKF4BCYjiXTuREyBAgAABAgUSSOU/ep3XK+bNnROpLIhGgAABAq0nMHvWrGzn2fCRI1pvED0TIECAAAECBAgUREACoiDMBiFAgAABAgSKXWDy1Kmx88WdcdvS24p9KuInQIBAbgXW3b8uO3dnxMiRkc7h0QgQIECAAAECBIpbQAKiuNdP9AQIECBAgECBBFIZkAGXDIhFCxdGKg+iESBAgEDLCqQdZrd8YUF079E9Bg0e3LKd640AAQIECBAgQKBNBCQg2oTdoAQIECBAgEAxCoybMCELO5UH0QgQIECgZQVWr1qVnbdz/Q03Rjp/RyNAgAABAgQIECh+AQmI4l9DMyBAgAABAgQKJJDKgUyaMjkrD7Jxw8YCjWoYAgQIlL5AbW1tLFm8OPpWVUXvPr1Lf8JmSIAAAQIECBAoEwEJiDJZaNMkQIAAAQIEWkYglQVJ5UGm3XRjy3SoFwIECBCIpYuXZOfsTJw0iQYBAgQIECBAgEAJCUhAlNBimgoBAgQIECDQ+gKpLMh1nxuTlQlZvmxZ6w9oBAIECJS4QE1NTaxcsSKuHjIkep7Zs8Rna3oECBAgQIAAgfISkIAor/U2WwIECBAgQKAFBPr175eVCUnlQlLZEI0AAQIEmi4wc/r06HJKlxgzbmzTO3EnAQIECBAgQIBALgUkIHK5LIIiQIAAAQIE8i4wavS1WbmQVDZEI0CAAIGmCay7f11semxTjBg50sHTTSN0FwECBAgQIEAg1wISELleHsERIECAAAECeRWorKzMyoWksiGpfIhGgAABAo0T2L17d1z/+anZuTpDhw1r3M2uJkCAAAECBAgQKAoBCYiiWCZBEiBAgAABAnkUGD5yRFY2ZNHCW/MYnpgIECCQa4HVq1ZlO8nmzp+f6zgFR4AAAQIECBAg0HQBCYim27mTAAECBAgQKHOBioqKrGzI+urqSGVENAIECBBomEA6P2fWjJnZeTppR5lGgAABAgQIECBQmgISEKW5rmZFgAABAgQIFEgglQ3p3qN73PKFBZHKiWgECBAgcHyBeXPmZBdNnznj+Be7ggABAgQIECBAoGgFJCCKdukEToAAAQIECORF4PobboytW7ZGKieiESBAgMCxBdK5OWvvWxujRo+OtJNMI0CAAAECBAgQKF0BCYjSXVszI0CAAAECBAok0LtP76yMSConksqKaAQIECBwdIHxY8dm5+dcM/yao1/kFQIECBAgQIAAgZIQkIAoiWU0CQIECBAgQKCtBSZOmpSFUF9WpK3jMT4BAgTyKLBm9Zpsx9i48ROiY8eOeQxRTAQIECBAgAABAi0oIAHRgpi6IkCAAAECBMpXoOeZPbNyIqmsSCovohEgQIDA4QLpnJx5c+dEr/N6xcBBAw9/0XcECBAgQIAAAQIlKSABUZLLalIECBAgQIBAWwikciJdTukSM6dPb4vhjUmAAIFcC9y29LbY+eLOmDx1aq7jFBwBAgQIECBAgEDLCUhAtJylnggQIECAAIEyF0jlRFJZkU2PbYp1968rcw3TJ0CAwKsCm5/aHIsWLowBlwyIysrKV1/wiAABAgQIECBAoKQFJCBKenlNjgABAgQIECi0QCor0r1H97j+81MjlRvRCBAgQCBi9qxZGcO4CRNwECBAgAABAgQIlJGABEQZLbapEiBAgAABAoURmDt/flZmJJUb0QgQIFDuAhs3bIz11dUxacrkqKioKHcO8ydAgAABAgQIlJWABERZLbfJEiBAgAABAoUQSOVF+lZVZeVGamtrCzGkMQgQIJBbgWk33ZjtDBs0eHBuYxQYAQIECBAgQIBA6whIQLSOq14JECBAgACBMheYPnNGJjB18pQylzB9AgTKWWD5smWxdcvWuO5zYyKdk6MRIECAAAECBAiUl4AERHmtt9kSIECAAAECBRJIZUZSuZFUdqSmpqZAoxqGAAEC+RFI5+AsWbw42xHWr3+//AQmEgIECBAgQIAAgYIJSEAUjNpABAgQIECAQLkJpHIjXU7pEuPHji23qZsvAQIEYsG8/efhjBp9LQ0CBAgQIECAAIEyFZCAKNOFN20CBAgQIECg9QVSuZFpN0/Pyo+sWb2m9Qc0AgECBHIikHZ+rVyxIq4eMiTSuTgaAQIECBAgQIBAeQpIQJTnups1AQIECBAgUCCBVHak13m9Yt7cOZHKkWgECBAoB4FFC2/NdoANHzmiHKZrjgQIECBAgAABAkcRkIA4CoynCRAgQIAAAQItJTB56tTY+eLOrBxJS/WpHwIECORVYN3967Lzb0aMHBnpPByNAAECBAgQIECgfAUkIMp37c2cAAECBAgQKJBAKj8y4JIBWTmSzU9tLtCohiFAgEDhBdJOr1u+sCC69+geQ4cNK3wARiRAgAABAgQIEMiVgARErpZDMAQIECBAgECpCoybMCErRzJ71qxSnaJ5ESBAIFavWpWde3P9DTfSIECAAAECBAgQIBASEN4EBAgQIECAAIECCKQyJKkcyfrq6ti4YWMBRjQEAQIECitQW1sbSxYvjr5VVdG7T+/CDm40AgQIECBAgACBXApIQORyWQRFgAABAgQIlKLAoMGDs7Ik02660YHUpbjA5kSgzAXmzZmTnXczcdKkMpcwfQIECBAgQIAAgXoBCYh6CV8JECBAgAABAq0s0LFjx7juc2Oy8iSpTIlGgACBUhGoqamJtfetjauHDImeZ/YslWmZBwECBAgQIECAQDMFJCCaCeh2AgQIECBAgEBjBPr175eVJ0llSlK5Eo0AAQKlIDBz+vTsnJsx48aWwnTMgQABAgQIECBAoIUEJCBaCFI3BAgQIECAAIGGCqTyJDtf3BlLFy9p6C2uI0CAQG4F1t2/LjY9tinGjZ8QaaeXRoAAAQIECBAgQKBeQAKiXsJXAgQIECBAgECBBFJ5klSmZOWKFZHKlmgECBAoVoHdu3fH9Z+fmp1vM3DQwGKdhrgJECBAgAABAgRaSUACopVgdUuAAAECBAgQOJZAKlPS5ZQusWjhrce6zGsECBDItUA6zybt6Jo7f36u4xQcAQIECBAgQIBA2whIQLSNu1EJECBAgACBMhdIZUpGjBwZ66urI5Uv0QgQIFBsAukcm1kzZmbn2lRWVhZb+OIlQIAAAQIECBAogIAERAGQDUGAAAECBAgQOJLA0GHDsrIlqXxJKmOiESBAoJgEpk6ekoU7feaMYgpbrAQIECBAgAABAgUUkIAoILahCBAgQIAAAQK/L3D9DTdm5UtSGRONAAECxSKQzq9JO7hGjR4dFRUVxRK2OAkQIECAAAECBAosIAFRYHDDESBAgAABAgQOFejdp3dWviSVMUnlTDQCBAgUg8D4sfvPsblm+DXFEK4YCRAgQIAAAQIE2khAAqKN4A1LgAABAgQIEKgXqC9fMm/OnPqnfCVAgEBuBdasXhNbt2yNaTdPj3SejUaAAAECBAgQIEDgaAISEEeT8TwBAgQIECBAoEACqXxJKmOy9r61kcqaaAQIEMirQDqvZt7cOdHrvF7Rr3+/vIYpLgIECBAgQIAAgZwISEDkZCGEQYAAAQIECJS3QCpj0uWULjFz+vTyhjB7AgRyLbBg3vzs3JrJU6fmOk7BESBAgAABAgQI5ENAAiIf6yAKAgQIECBAoMwFUhmTceMnxKbHNkUqb6IRIEAgbwKbn9ocK1esiAGXDIjKysq8hSceAgQIECBAgACBHApIQORwUYREgAABAgQIlKfAwEEDo3uP7ll5k1TmRCNAgECeBGbPmpXt1Bo3YUKewhILAQIECBAgQIBAjgUkIHK8OEIjQIAAAQIEyk9g7vz95U1uW3pb+U3ejAkQyK3Axg0bY311dYwYOTLSuTUaAQIECBAgQIAAgYYISEA0RMk1BAgQIECAAIECCaSyJqm8yaKFC6O2trZAoxqGAAECxxaYdtON2Q6tQYMHH/tCrxIgQIAAAQIECBA4REAC4hAMDwkQIECAAAECeRCoL28ydfKUPIQjBgIEylxg+bJlsXXL1rjuc2MinVejESBAgAABAgQIEGiogAREQ6VcR4AAAQIECBAokEAqbzJpyuSs3ElNTU2BRjUMAQIEXiuQdmItWbw4+lZVRb/+/V57gWcIECBAgAABAgQIHENAAuIYOF4iQIAAAQIECLSVQCpz0uWULjF+7Ni2CsG4BAgQiKWLl8TOF3fGqNFnkZmhAABAAElEQVTX0iBAgAABAgQIECDQaAEJiEaTuYEAAQIECBAg0PoCqczJtJunZ2VPUvkTjQABAoUWSDuwVq5YEVcPGRLpfBqNAAECBAgQIECAQGMFJCAaK+Z6AgQIECBAgECBBFK5k17n9crKn+zevbtAoxqGAAEC+wUWLbw124k1ZpydWN4TBAgQIECAAAECTROQgGiam7sIECBAgAABAgURmDx1alb+ZMG8+QUZzyAECBBIAuvuX5edQzNi5EgHT3tLECBAgAABAgQINFlAAqLJdG4kQIAAAQIECLS+QCp7ksqfpDIom5/a3PoDGoEAgbIXSDuubvnCgujeo3sMHTas7D0AECBAgAABAgQINF1AAqLpdu4kQIAAAQIECBREYPjIEVkZlNmzZhVkPIMQIFDeAqtXrcrOn7n+hhvLG8LsCRAgQIAAAQIEmi0gAdFsQh0QIECAAAECBFpXoKKiIlIZlPXV1VlZlNYdTe8ECJSzQG1tbcyaMTP6VlVF7z69y5nC3AkQIECAAAECBFpAQAKiBRB1QYAAAQIECBBobYFBgwdn5VBSWRQHUre2tv4JlK/AvDlzsslPnDSpfBHMnAABAgQIECBAoMUEJCBajFJHBAgQIECAAIHWE+jYsWOkcihbt2yNVB5FI0CAQEsL1NTUxNr71sao0aOj55k9W7p7/REgQIAAAQIECJShgAREGS66KRMgQIAAAQLFKZDKoaSyKEsWL45UJkUjQIBASwrMnD49O2/mmuHXtGS3+iJAgAABAgQIEChjAQmIMl58UydAgAABAgSKTyCVRdn54s5YunhJ8QUvYgIEciuwZvWa2PTYphg3fkKkHVcaAQIECBAgQIAAgZYQkIBoCUV9ECBAgAABAgQKJJDKolw9ZEisXLEiUrkUjQABAs0VSOfKzJs7JztnZuCggc3tzv0ECBAgQIAAAQIEDgpIQByk8IAAAQIECBAgUBwCY8aNzcqkpHIpGgECBJorcNvS27KdVXPnz29uV+4nQIAAAQIECBAgcJiABMRhHL4hQIAAAQIECORfIJVHGTFyZFYuZd396/IfsAgJEMitQDpPZtHChdn5MpWVlbmNU2AECBAgQIAAAQLFKSABUZzrJmoCBAgQIECgzAWGDhuWlUu5/vNTI5VP0QgQINAUgamTp2S3TZ85oym3u4cAAQIECBAgQIDAMQUkII7J40UCBAgQIECAQH4FUrmUdCD16lWr8hukyAgQyK1AOkdmfXV1TJoyOSoqKnIbp8AIECBAgAABAgSKV0AConjXTuQECBAgQIBAmQukcil9q6pi1oyZkcqoaAQIEGiMwPix+8+TGTR4cGNucy0BAgQIECBAgACBBgtIQDSYyoUECBAgQIAAgfwJ1JdNmTdnTv6CExEBArkVWL5sWWzdsjWm3Tw90rkyGgECBAgQIECAAIHWEJCAaA1VfRIgQIAAAQIECiSQyqaMGj061t63NlI5FY0AAQLHE0jnxixZvDh6ndcr+vXvd7zLvU6AAAECBAgQIECgyQISEE2mcyMBAgQIECBAIB8C1wy/Jrqc0iVSORWNAAECxxNYMG//+TGTp0493qVeJ0CAAAECBAgQINAsAQmIZvG5mQABAgQIECDQ9gKpfMq48ROyciprVq9p+4BEQIBAbgU2P7U5Vq5YEVcPGRLpHBmNAAECBAgQIECAQGsKSEC0pq6+CRAgQIAAAQIFEhg4aGBWTmXe3DmRyqtoBAgQOJLA7Fmzsh1Tw0eOONLLniNAgAABAgQIECDQogISEC3KqTMCBAgQIECAQNsJpHIqO1/cGbctva3tgjAyAQK5Fdi4YWOsr66OESNHRjo/RiNAgAABAgQIECDQ2gISEK0trH8CBAgQIECAQIEEUjmVAZcMiEULF0ZtbW2BRjUMAQLFIJB2Rk276cbo3qN7DBo8uBhCFiMBAgQIECBAgEAJCEhAlMAimgIBAgQIECBAoF5g3IQJ2cOpk6fUP+UrAQIEYvWqVdk5Mdd9bkykc2M0AgQIECBAgAABAoUQkIAohLIxCBAgQIAAAQIFEkhlVSZNmZyVWUnlVjQCBAikHVFLFi+OvlVV0a9/PyAECBAgQIAAAQIECiYgAVEwagMRIECAAAECBAojkMqrdDmlS1ZupTAjGoUAgTwLLF28JDsfZuKkSXkOU2wECBAgQIAAAQIlKCABUYKLakoECBAgQIBAeQuk8irTbp6elVtZvmxZeWOYPYEyF6ipqYmVK1bE1UOGRM8ze5a5hukTIECAAAECBAgUWkACotDixiNAgAABAgQIFEAglVlJ5VZS2ZV0+KxGgEB5CixaeGu2I2rMuLHlCWDWBAgQIECAAAECbSogAdGm/AYnQIAAAQIECLSewKjR12ZlVxbMm996g+iZAIHcCqy7f112HsyIkSMdPJ3bVRIYAQIECBAgQKC0BSQgSnt9zY4AAQIECBAoY4HKysqs7Eoqv5LKsGgECJSPQNr5dP3np0b3Ht1j6LBh5TNxMyVAgAABAgQIEMiVgARErpZDMAQIECBAgACBlhUYPnJEVn4llWHRCBAoH4HVq1ZlO6Cuv+HG8pm0mRIgQIAAAQIECOROQAIid0siIAIECBAgQIBAywlUVFREKr+yvro6UjkWjQCB0heora2NWTNmZufA9O7Tu/QnbIYECBAgQIAAAQK5FZCAyO3SCIwAAQIECBAg0DICqfxKKsNyyxcWOJC6ZUj1QiDXAvPmzMnimz5zRq7jFBwBAgQIECBAgEDpC0hAlP4amyEBAgQIECBAIFIZlq1btkYqy6IRIFC6Aum8l7X3rY1Ro0dH2gGlESBAgAABAgQIEGhLAQmIttQ3NgECBAgQIECgQAKpDEvfqqpYsnhxpPIsGgECpSkwfuzY7NyXa4ZfU5oTNCsCBAgQIECAAIGiEpCAKKrlEiwBAgQIECBAoOkCEydNyg6lrS/P0vSe3EmAQB4F1qxek+10Gjd+QnTs2DGPIYqJAAECBAgQIECgzAQkIMpswU2XAAECBAgQKF+Bnmf2jKuHDMnKs6QyLRoBAqUjsHv37pg3d070Oq9XDBw0sHQmZiYECBAgQIAAAQJFLSABUdTLJ3gCBAgQIECAQOMExozbX55l5vTpjbvR1QQI5FrgtqW3ZTucJk+dmus4BUeAAAECBAgQIFBeAhIQ5bXeZkuAAAECBAiUuUAqy5LKs2x6bFOsu39dmWuYPoHSEEjnuixauDAGXDIgKisrS2NSZkGAAAECBAgQIFASAif8rq41ZCY9unbLLtuyfVtDLncNAQIECBAgQIBAjgUuuvDC2LlzZzy8YUOr1orfWz0h3vWpO2NPQy3anxtXjPlwvO2sD8bVVd2iXUPvcx2BMhYY+qlPx/rq6vjeo9+PioqKMpYwdQIECBAgQIAAgdYQaE5uwA6I1lgRfRIgQIAAAQIEci4wd/78rFzL6lWr8hXp3sfjrtkzY/qn/ir6fHpZ1Ozal6/4REMgZwIbN2zMkg+TpkyWfMjZ2giHAAECBAgQIEAgQgLCu4AAAQIECBAgUIYCqUxL36qqmDVjZqTyLflre6P2oZkx+OovxmOSEPlbHhHlRmDaTTdGl1O6xKDBg3MTk0AIECBAgAABAgQI1AtIQNRL+EqAAAECBAgQKDOB6TNnZDOeOnlKYWZ+7uR4qK6cZyrpeeR/T8ZDt98c4688N9ofiGjv40vjc0t/GPZBFGaJjFJcAsuXLYutW7bGtJunt2opteJSES0BAgQIECBAgECeBCQg8rQaYiFAgAABAgQIFFAg1YofNXp0Vr6lpqamgCMfbagO0bXqEzF87u3x1ZGVB5IQe+PZb/5TPC4DcTQ0z5epwO7du2PJ4sXZTqZ+/fuVqYJpEyBAgAABAgQI5F1AAiLvKyQ+AgQIECBAgEArClwz/JqsfMv4sWNbcZTGdn1qnDf0E9G7fhvEs4/FY8/sbWwnridQ0gIL5u0/x2XU6GtLep4mR4AAAQIECBAgUNwCEhDFvX6iJ0CAAAECBAg0S6Bjx45Z+ZZUxmXN6jXN6qtFbz6pS5zarkV71BmBkhHY/NTmWLliRVw9ZEik81w0AgQIECBAgAABAnkVkIDI68qIiwABAgQIECBQIIFUvqXXeb1i3tw5kcq65KK9tDN21JddOv28OO+t9dshchGdIAi0qcDsWbOynUvDR45o0zgMToAAAQIECBAgQOB4AhIQxxPyOgECBAgQIECgDAQmT50aO1/cGbctvS0Hs90TW+69KzZmVZfax+kf+WCcazdEDtZFCHkQWHf/uuzclhEjR0Y6x0UjQIAAAQIECBAgkGcBCYg8r47YCBAgQIAAAQIFEkhlXAZcMiAWLVwYqbxL27R9satmbSwdPzD6z3g0Uv6h/bnD4wvD3xXyD22zIkbNl0DaoXTLFxZE9x7dY9DgwfkKTjQECBAgQIAAAQIEjiDw+iM85ykCBAgQIECAAIEyFBg3YUKsvW9tpPIuy2//UssLPD4zLuw6s4H9dop3fnx2fPHmftFV9qGBZi4rdYHVq1ZFOq/lyytXRjq/RSNAgAABAgQIECCQdwE7IPK+QuIjQIAAAQIECBRIIJVzmTRlclbeZeOGjQUa9WjD7IkXfvlEbHp8x9Eu8DyBshKora2NJYsXR9+qqujdp3dZzd1kCRAgQIAAAQIEildAAqJ4107kBAgQIECAAIEWF0hlXVJ5l2k33djifTeuw71R+9CSGFdXFmrEPVui/jzqxvXhagKlI7B08ZLsnJaJkyaVzqTMhAABAgQIECBAoOQFJCBKfolNkAABAgQIECDQcIFU1uW6z43JyrwsX7as4Tc25MpzJ8dD27fFlmP8+9n622PqlGuiqqL9gR6fjQfHfDqmVL/QkBFcQ6AkBWpqamLlihVx9ZAh0fPMniU5R5MiQIAAAQIECBAoTQEJiNJcV7MiQIAAAQIECDRZoF//flmZl1TuJZV9KWRr161v/M2wSbHs24viioNJiKfjrutvjxrbIAq5FMbKkcDM6dOjyyldYsy4sTmKSigECBAgQIAAAQIEji8gAXF8I1cQIECAAAECBMpOYNToa7NyL6nsS5u0zlUxbtwFUb8PIp6tjgcf/682CcWgBNpSYN3962LTY5tixMiRDp5uy4UwNgECBAgQIECAQJMEJCCaxOYmAgQIECBAgEBpC1RWVmblXlLZl1T+pfCtXZx6wcXR+2AG4j/iqa27Ch+GEQm0ocDu3bvj+s9Pzc5lGTpsWBtGYmgCBAgQIECAAAECTROQgGiam7sIECBAgAABAiUvkMq9pLIvixbe2jZzPalLnNqufug98cKLu+u/8ZVAWQisXrUq24k0d/78spivSRIgQIAAAQIECJSegARE6a2pGREgQIAAAQIEWkQgHUidyr6sr66OVAam4O2lnbHj4LkPnePsHn9c8BAMSKCtBNL5K7NmzMzOY0k7kjQCBAgQIECAAAECxSggAVGMqyZmAgQIECBAgECBBFLZl+49usctX1gQqRxM4dq+2PHwt2Pj3voR3xI9u/1R/Te+Eih5gamTp2RznD5zRsnP1QQJECBAgAABAgRKV0AConTX1swIECBAgAABAi0icP0NN8bWLVsjlYMpWNtVHfPmPRz1+Yf2vS6Kvm89eCBEwcIwEIG2EEjnrqSdR6NGj46Kioq2CMGYBAgQIECAAAECBFpEQAKiRRh1QoAAAQIECBAoXYHefXpnZWBSOZhUFqZV266auHfZrBh28ai4q7Y+/XBGDLh2QPQ4eB5Eq0agcwJtLjB+7P7zV64Zfk2bxyIAAgQIECBAgAABAs0ReH1zbnYvAQIECBAgQIBAeQhMnDQp+4vseXPmxIJbbmnapB+fGRd2ndnIe9tHxZVTYmLVmxp5n8sJFKfAmtVrsh1HCxctinQOi0aAAAECBAgQIECgmAXsgCjm1RM7AQIECBAgQKBAAj3P7JmVg1l739pI5WEK006Pqimr4v65F0XnwgxoFAJtKpDOWZk3d070Oq9X9Ovfr01jMTgBAgQIECBAgACBlhCwA6IlFPVBgAABAgQIECgDgVQO5mtf/YeYOX163HXPPa00407xziuHxYfPfEucd8VHorKzukutBK3bHArctvS22Pnizlj2pS/lMDohESBAgAABAgQIEGi8gARE483cQYAAAQIECBAoS4FUDmbc+AkxeeLEWHf/ugb9hXb7qjnx4+1zytLLpAk0RmDzU5tj0cKFMeCSAVFZWdmYW11LgAABAgQIECBAILcCSjDldmkERoAAAQIECBDIn8DAQQOje4/ucf3np0YqF6MRINAyArNnzco6GjdhQst0qBcCBAgQIECAAAECORCQgMjBIgiBAAECBAgQIFBMAnPnz8/KxKRyMRoBAs0X2LhhY3bI+6Qpk6OioqL5HeqBAAECBAgQIECAQE4EJCByshDCIECAAAECBAgUi0AqD9O3qiorF1NbW1ssYYuTQG4Fpt10Y7azaNDgwbmNUWAECBAgQIAAAQIEmiIgAdEUNfcQIECAAAECBMpcYPrMGZnA1MlTylzC9Ak0T2D5smWxdcvWuO5zYyKds6IRIECAAAECBAgQKCUBCYhSWk1zIUCAAAECBAgUSCCViUnlYtZXV0dNTU2BRjUMgdISSOeoLFm8ONtR1K9/v9KanNkQIECAAAECBAgQqBOQgPA2IECAAAECBAgQaJJAKhfT5ZQuMX7s2Cbd7yYC5S6wYN7+81RGjb623CnMnwABAgQIECBAoEQFJCBKdGFNiwABAgQIECDQ2gKpXMy0m6dn5WPWrF7T2sPpn0BJCaSdQytXrIirhwyJdK6KRoAAAQIECBAgQKAUBSQgSnFVzYkAAQIECBAgUCCBVDam13m9Yt7cOZHKyWgECDRMYNHCW7MdRMNHjmjYDa4iQIAAAQIECBAgUIQCEhBFuGhCJkCAAAECBAjkSWDy1Kmx88WdkcrJaAQIHF9g3f3rsvNTRowcGek8FY0AAQIECBAgQIBAqQqc8Lu61pDJ9ejaLbtsy/ZtDbncNQQIECBAgAABAmUkMOa662LtfWvjHx98MJv1N77xjdjwyCPxxOOPH1T4wF/+ZbyrrtTMx6/6uA9dD6p4UEoCaRfQ/d+6Px5Yty4e/9GP4te//nU2vbe+9a1xQd++UXXhhVHZqzIu+djHsucffOihUpq+uRAgQIAAAQIECJSoQHNyAxIQJfqmMC0CBAgQIECAQCEFamtro9/FF8fr270+duzYkQ3dtXv3+OM//pM4sUOH+O2ePfHMM09H7fPPZ69d9clPxPgJEyKdI6ERKAWB5cuWRSqr9NJLL0XnLqfEGV27xkknn5xN7efpvf+LX8Se3/ymruzSKXU7hl6ML69cGb379C6FqZsDAQIECBAgQIBAiQs0JwHx+hK3MT0CBAgQIECAAIECCOx+eXe88ttX4te/+XX0vqBvnH3O26NTp06vGfnll1+Of3n0+/HVr/xDfHfDxrht+fLoeWbP11znCQLFIpB2PQz55NXxw7pDpVPSrd9HPxannfbmw8J/z3vfF6+88tv4yZNP1r3vH8leSz8LGgECBAgQIECAAIFSF7ADotRX2PwIECBAgAABAq0ssPmpzXHFZZfFK3v3xsDBV8Wpb3zjcUfcvm1rPPCtb8YbTjwxNnx3o50QxxVzQV4FLrvk0iz5kBJvKdFwvJYSEXffuSbbDbRw0aJIB7lrBAgQIECAAAECBPIs0JwdEA6hzvPKio0AAQIECBAgUAQC48eNi72NSD6kKXXt1j0+dtnl8etdu+L/XDu6CGYpRAKvFUhll9LOhw/+1cUNSj6kHt7whhPj8isHRsVpp8WUyZMjlS/TCBAgQIAAAQIECJSqgAREqa6seREgQIAAAQIECiCw7v518aMf/jA+0Of8Bu18ODSkVKYm/dX4Iw8/HDV1H+JqBIpJICUOZs2YmZVdOvfP3tWo0FMS4q8u7hcv1R1S/fd1uyA0AgQIECBAgAABAqUqIAFRqitrXgQIECBAgACBAgjMnzs3O3C3sR/A1of2Z+96V3T4gz+IFV/+cv1TvhIoCoFHHt5/lsP7/+IDTYo3lSr7s8pe2Xko6RwJjQABAgQIECBAgEApCkhAlOKqmhMBAgQIECBAoAAC6S/An3766Xj3e9/b5NHSX4K/7exz4ptf/0aT+3AjgbYQeGDduiz59vsHTjcmlnPe8Y7s8g2PbGjMba4lQIAAAQIECBAgUDQCEhBFs1QCJUCAAAECBAjkS+AXv/hFFtAb3/SmZgV2+lvekt2vDFOzGN1cYIGNGzbEWW97W7NGrU9ePP/8c83qx80ECBAgQIAAAQIE8irw+rwGJi4CBAgQIECAAIF8C/zspz/LAuzU6aRmBdrppP33X37Jpc3qx80ECi1wYocOhR7SeAQIECBAgAABAgSKSkACoqiWS7AECBAgQIAAgfwIdOrUKQvm5ZdfivrHzYnu6iFD4s2nv7k5XbiXQMEE0gHUGgECBAgQIECAAAECxxaQgDi2j1cJECBAgAABAgSOIvCnp/1p9sorv/3tUa5o2NO/euGF7MLhI0dERUVFw25yFYE2Fvj7WxfFC7/8ZbOieOWV5v3sNGtwNxMgQIAAAQIECBAogIAzIAqAbAgCBAgQIECAQCkKnHnmmdm0tmze3KzpPfvMM3HSySdLPjRL0c2FFuhzwfmxffu2Zg27bevW7P7z3v3uZvXjZgIECBAgQIAAAQJ5FZCAyOvKiIsAAQIECBAgkHOBjh07xkc+9tH42U+ejKb+JffLL78cP3ny32PAgAE5n63wCBwu8KEP/VXs+c1v4qd17/+mth//2xNxcl3yrbKysqlduI8AAQIECBAgQIBArgUkIHK9PIIjQIAAAQIECORbYMj//t/xm7oPYTc+8kiTAn3wHx/I7kvllzQCxSTQr3+/OOOMM+KhB7/TpATc4z/6YWyv2wHxmWtHFdO0xUqAAAECBAgQIECgUQISEI3icjEBAgQIECBAgMChAukvt6/65CfiRzWbGv2X4OmD2/QB7KQpk5VfOhTV46IRWPDFW7JdEHffuaZRSYgdv/pVfG/DI/HOc8+NQYMHF818BUqAAAECBAgQIECgsQISEI0Vcz0BAgQIECBAgMBhAuMnTIh31SUi7v/G1+O7dR+qHq+lck0p+ZCSFil5MXTYsOPd4nUCuRRICbiFixZF7fPPR0pCpJJix2upZNOdq74abzjxxJi/YEGkUmYaAQIECBAgQIAAgVIVOOF3da0hk+vRtVt22ZZmHrTWkLFcQ4AAAQIECBAgUFwCu3fvjqlTpsQ3v/6N6NzllPhA795x2ptPj06dOh2cSP15Dz/4f49mfzWekg/Tbr754OseEChWgXX3r4vRo/aXUvqzyl51Cbleceob33hwOinplg6cTmc+pF0/aedDSj70PLPnwWs8IECAAAECBAgQIJBXgebkBiQg8rqq4iJAgAABAgQIFKFA+iB2/ty58fTTT2fRd/iDP4iKP/3T7EPX+ul07do1bpw2LXr36V3/lK8Eil5g81ObY+aMGfHIww8fnEvFaafVJdv2xK6dL2bPnVR34PSoujMfUtklOx8OMnlAgAABAgQIECCQcwEJiJwvkPAIECBAgAABAuUmkD6Mffjh9fHcs8/Fz3/+83j7O94RJ53UKS64oK+/+i63N0OZzbe2trYuCfFIPPfcc/HvP/5xnHzySXHO298eb3vb2ZJuZfZeMF0CBAgQIECAQKkISECUykqaBwECBAgQIECAAAECBAgQIECAAAECBAgQyJFAcxIQDqHO0UIKhQABAgQIECBAgAABAgQIECBAgAABAgQIlIqABESprKR5ECBAgAABAgQIECBAgAABAgQIECBAgACBHAlIQORoMYRCgAABAgQIECBAgAABAgQIECBAgAABAgRKRUAColRW0jwIECBAgAABAgQIECBAgAABAgQIECBAgECOBCQgcrQYQiFAgAABAgQIECBAgAABAgQIECBAgAABAqUiIAFRKitpHgQIECBAgAABAgQIECBAgAABAgQIECBAIEcCEhA5WgyhECBAgAABAgQIECBAgAABAgQIECBAgACBUhGQgCiVlTQPAgQIECBAgAABAgQIECBAgAABAgQIECCQIwEJiBwthlAIECBAgAABAgQIECBAgAABAgQIECBAgECpCEhAlMpKmgcBAgQIECBAgAABAgQIECBAgAABAgQIEMiRgAREjhZDKAQIECBAgAABAgQIECBAgAABAgQIECBAoFQEXl8qEzEPAgQIECBAgACBEhDYty3Wr/in2PLC/4s7Fj8UtYdOqf25ccWYD0fPN707Lr+sMjof+prHBEpBwPu/FFbRHAgQIECAAAECBA4ROOF3de2Q74/6sEfXbtlrW7ZvO+o1XiBAgAABAgQIECDQJIFdNXHv0kWx4PeTDkfrrOLCGDVzSvxtVbdod7RrPE+gWAS8/4tlpcRJgAABAgQIEChLgebkBiQgyvItY9IECBAgQIAAgbwI7IntD86Jz37my/HE3sbG1Cne+fHZ8cWb+0VXWYjG4rk+FwLe/7lYBkEQIECAAAECBAgcU6A5CQglmI5J60UCBAgQIECAAIHWE6j78PWecXHVmG8dXmqpbnfD8E9fEO/54OXRt1uHA8Pvi10134y7v/OtQ0ozvRxPfO2zcdV/t4/7516kJFPrLZSeW0XA+79VWHVKgAABAgQIECCQKwE7IHK1HIIhQIAAAQIECJSLwBE+fE1nPMy4MSZeeezzHfZtWxfX/+3EWP34ywewzogrbr8rZle9qVzwzLPoBbz/i34JTYAAAQIECBAgUEYCzdkB8boycjJVAgQIECBAgACBnAjs2/KVGDvxkJ0PFRfFpDtvj9nHST6k8Nt16xczVi6IKyraH5jN03HX5Fti/a59OZmdMAgcW8D7/9g+XiVAgAABAgQIECgdAQmI0llLMyFAgAABAgQIFIfAvp/EHeMWRk39mQ/t3x+Tvvp3MbTy1IbH37kqJs68PCrq76h9IL720C/rv/OVQH4FvP/zuzYiI0CAAAECBAgQaHEBCYgWJ9UhAQIECBAgQIDA0QXqznJ4ZGXcsam+fFKnqBx/Q/xNj/qzHo5+5+GvtIvO518WHzu9fhfErti47tHYcfhFviOQMwHv/5wtiHAIECBAgAABAgRaWUACopWBdU+AAAECBAgQIHCowC+j+qsPvHro9OlXxZRPnR3tDr2koY/bnRMXfaTbwav3/vSpeEYVpoMeHuRRwPs/j6siJgIECBAgQIAAgdYTkIBoPVs9EyBAgAABAgQI/L7AjkfjgQ27DjzbOaqu+2RUNin7kLo4Md7a84yo3wMRv3oxdv3P7w/oewI5EvD+z9FiCIUAAQIECBAgQKAQAhIQhVA2BgECBAgQIECAQJ3Avtjx8Ldj48GzH94Tf33BnzRDpl2c1KVL03ZPNGNUtxJomoD3f9Pc3EWAAAECBAgQIFDMAhIQxbx6YidAgAABAgQIFJXAb+OZzU9Hff4hznlP9Dq1ydsfimrmgiUQ4f3vXUCAAAECBAgQIFB+AhIQ5bfmZkyAAAECBAgQaCOBXbHtZ/9xcOwOZ/eMNx/8rikP9sZzW7bFnqbc6h4CBRfw/i84uQEJECBAgAABAgTaXEACos2XQAAECBAgQIAAgXIR2B0vvlCfLugQZ5755lfPb2gSwX/Gtqd+/uqdZ/WMbgcPhHj1aY8I5EPA+z8f6yAKAgQIECBAgACBQgq8vpCDGYsAAQIECBAgQCBnAnvXx8R3firuqs8LNCu8irji9gdidlXnZvXS4Jv3bYkf/POOA5e3j9M/0Cve0uCbXVj2AsX83k+L5/1f9m9hAAQIECBAgACBYhCwA6IYVkmMBAgQIECAAIGSEOgYp7ypw4GZ7IudL75cdyx1U9u+2PXIPfH1Z+tPlOgW/T90jgOpm8rpvgIIeP8XANkQBAgQIECAAAECOROQgMjZggiHAAECBAgQIFC6Ap2j21l/fGB6e+OXP3s6djV1svueirtv/VbU1t9/elVcdO4f1n/nK4EcCnj/53BRhESAAAECBAgQINDKAkowtTKw7gkQIECAAAECuRZo3zdm/2RbzC5IkCfGW3ueUXfuw88i7VvYu+Hb8ciOj8Wlp7Y74uj7ttwRo+b8R3xo5NC4tPLUQ65Jux9Wxh2bXj7wXOeouu6TUXnkbg65z0MChwgU9L2fxvX+P0TfQwIECBAgQIAAgTIRsAOiTBbaNAkQIECAAAECbS/QLk694OLoXX9Q9N6HY8Gc6qPsgvivePzu1fHgd5bEuEsGxIh7thws17Rv2z0xcfLdB3c/tO/1mZg44LS2n54ICBxTwPv/mDxeJECAAAECBAgQKEkBCYiSXFaTIkCAAAECBAjkVODU3vHxS844ENzeqL1zRsyufuG1we76Xqy5b9uB55+NB8dcEpfN+X7s2HZnjBo8NR6sPXD2Q/v3x9h5n4wedj+81tAz+RPw/s/fmoiIAAECBAgQIECgVQVO+F1da8gIPbp2yy7bsr3+/wg25C7XECBAgAABAgQIEDhcYN+WZTHw4plRU39+dJweVVO+GPOGnRedD15aV2ap5puxZtUdccudj2clmw6+VP+gfWUMX70sxp93aHmm+hd9JZBPAe//fK6LqAgQIECAAAECBI4u0JzcgB0QR3f1CgECBAgQIECAQCsItOvxyZg/+8NRcbDvZ6N6xuXx/o9OiKX31BwoydQuOlcOiOGzvhiLr73wkGsP3CT5cFDPg+IS8P4vrvUSLQECBAgQIECAQPME7IBonp+7CRAgQIAAAQIEmiSwJ7bfMy6uGvOtg2c5NLybirji9gdidtWr+yUafq8rCeRBwPs/D6sgBgIECBAgQIAAgYYJ2AHRMCdXESBAgAABAgQI5EagQ3S9bGFsWH9bjLrw9EZGVRt3Df9UzH1sRyPvczmBvAh4/+dlJcRBgAABAgQIECDQugJ2QLSur94JECBAgAABAgQaIrCrJu6961/jhae+9XtnPtSdDzHyE/G+nu+Nyy87J3Ys+5voP+PRA2dCdIp3Xjk5bph8RVR2dgp1Q5hdk1MB7/+cLoywCBAgQIAAAQIEkkBzdkBIQHgPESBAgAABAgQIFJHAC7F+/BUx9M6nD8R8Vgy/774YX/mHRTQHoRJoqoD3f1Pl3EeAAAECBAgQINB0geYkIBxC3XR3dxIgQIAAAQIECBRc4E3Rd9aXYt6H9pdtan/h8Pi05EPBV8GAbSXg/d9W8sYlQIAAAQIECBBomsDrm3abuwgQIECAAAECBAi0kUC7HnHpbWvjjDkz45EPXRyntlEYhiXQJgLe/23CblACBAgQIECAAIGmCSjB1DQ3dxEgQIAAAQIECBAgQIAAAQIECBAgQIAAgZIXUIKp5JfYBAkQIECAAAECBAgQIECAAAECBAgQIECAQHEJKMFUXOslWgIECBAgQIAAAQINEti3bX2s/KdH45+/dEdU1+599Z7258YVYwbEe9/30bi0UgGrV2E8IkCAAAECBAgQIECgpQWUYGppUf0RIECAAAECBAgQaEuBfdti/S0zYuqtD0XtMePoFO/8+Oz44s39omu7Y17oRQIECBAgQIAAAQIEyligOSWY7IAo4zeOqRMgQIAAAQIECJSYwL4tce/I/x3jvvNsAyb2cjzxtc/GVf/dPu6fe1F0bsAdLiFAgAABAgQIECBAgEBjBF7XmItdS4AAAQIECBAgQIBAXgX2xJbbp8bkg8mH06Nq5E2xfP2TsWX7tgP/Nsdj990S4688N9pn09gbtXcui7u3HVKiKa/TExcBAgQIECBAgAABAkUnYAdE0S2ZgAkQIECAAAECBAgcQWDHupg999HYn0o4PS5a8OVYdFmPOLy6UrvoXDkghp/7lvj1Pw+Opc+mq38em7f9Z0Q3eyCOoOopAgQIECBAgAABAgSaIWAHRDPw3EqAAAECBAgQIEAgHwJ1ux/uvSs2ZtmH9lFx5fUx+zXJh0MibdcpTjnl8NTEIa96SIAAAQIECBAgQIAAgRYRsAOiRRh1QoAAAQIECBAgQKAtBTpEj2Gr4ifDGhBDOqT69i/Ft57cc+Dit0TPbn/UgBtdQoAAAQIECBAgQIAAgcYJSEA0zsvVBAgQIECAAAECBHIssCNq7vlGPPbiK/Hio/8QSx9qwGHUHbpFj9P3nwiR44kJjQABAgQIECBAgACBIhSQgCjCRRMyAQIECBAgQIAAgcMF9sT26sUxY/LiqK5t5IHSZ/WMbvIPh3P6jgABAgQIECBAgACBFhGQgGgRRp0QIECAAAECBAgQaCuBfbGrelpc9alVUXusENqfG1eM+XD0bPc/h+yOaB+nf6BXvOVY93mNAAECBAgQIECAAAECTRSQgGginNsIECBAgAABAgQI5EJgV3XMnnz3q8mHigtj+KcviPd88PLo263DEUJ8Pu59dMmB5/8ozur5p+E46iMweYoAAQIECBAgQIAAgWYLSEA0m1AHBAgQIECAAAECBNpOYO+mf4pv1pddqhgcy799c/TtfIyUwo5H44ENuw4E/MdxZvfObRe8kQkQIECAAAECBAgQKGmB15X07EyOAAECBAgQIECAQEkL7I3ntmyLPQfm2KHPRfGXx0o+xAuxfs7fRXX9MREd3hXv+V9/WNJCJkeAAAECBAgQIECAQNsJSEC0nb2RCRAgQIAAAQIECLSowL7Nm+OZfUfrckfULJsSU+98+tULHED9qoVHBAgQIECAAAECBAi0uIAERIuT6pAAAQIECBAgQIBAoQTax1vefV6cfmC4vZsWxphJy2L9tvo9EXUv7NsW629fGBM/2jcun/Hgq2dF1L3U4eye8eZChWocAgQIECBAgAABAgTKTsAZEGW35CZMgAABAgQIECBQSgLtzv1YfLLXV2PWppfrpvVyPHHnzBha908jQIAAAQIECBAgQIBAWwvYAdHWK2B8AgQIECBAgAABAs0RaHd2DL19aQw/t9Nxejk9qq69LR5YdmV0OHDlvh0746Xj3OVlAgQIECBAgAABAgQINFXADoimyrmPAAECBAgQIECAQF4EOv95jL/v6/GeFavja7fdEdW19adMR7Q/98q47iPvjLM+eHn07dYh9tVsijfWxf1s3b+9P30qOzPi1HZ5mYg4CBAgQIAAAQIECBAoJYETflfXGjKhHl27ZZdt2b6tIZe7hgABAgQIECBAgAABAgQIECBAgAABAgQIEChygebkBpRgKvLFFz4BAgQIECBAgAABAgQIECBAgAABAgQIEMijgAREHldFTAQIECBAgAABAgQIECBAgAABAgQIECBAoMgFJCCKfAGFT4AAAQIECBAoB4F196+LoZ/6dKSvGoHWFhhz3XVx0w03Rm1tbWsPpX8CBAgQIECAAAECJS0gAVHSy2tyBAgQIECAAIHiFkgJh4suvDBGjxoVTz+9Pc4666zinpDoi0LgnLe/PVauWBEfeP+fS0QUxYoJkgABAgQIECBAIK8CEhB5XRlxESBAgAABAgTKWODQxENiWLhoUTz40EPR88yeZaxi6oUSGDpsWHzv0e/H1UOGSEQUCt04BAgQIECAAAECJSlwwu/qWkNm1pyTrhvSv2sIECBAgAABAgQIpMTDLV9YEFu3bI3uPbrHdZ8bE/369wNDoM0EUhmmpYuXZImIFERKSgwfOSIqKiraLCYDEyBAgAABAgQIECikQHNyAxIQhVwpYxEgQIAAAQIECBxRQOLhiCyezJGARESOFkMoBAgQIECAAAECBRWQgCgot8EIECBAgAABAgRaSkDioaUk9VMoAYmIQkkbhwABAgQIECBAIC8CEhB5WQlxECBAgAABAgQINEhA4qFBTC7KsYBERI4XR2gECBAgQIAAAQItKiAB0aKcOiNAgAABAgQIEGgtAYmH1pLVb1sJSES0lbxxCRAgQIAAAQIECiUgAVEoaeMQIECAAAECBAg0SUDioUlsbioiAYmIIlosoRIgQIAAAQIECDRKQAKiUVwuJkCAAAECBAgQKKRA/f9YLeSYxiKQF4Evr1wZvfv0zks44iBAgAABAgQIECDQaIH6/0+3Zfu2Rt/7ukbf4QYCBAgQIECAAAECBAgQOK5Al1O6HPcaFxAgQIAAAQIECBAoZYHXl/LkzI0AAQIECBAgQKDtBdJfyShP0/brIILWFaipqYlFC2+N9dXVkRIPI0aOjEGDB0fHjh1bd2C9EyBAgAABAgQIEMixwAm/q2sNia852ywa0r9rCBAgQIAAAQIESl9AIqL017jcZijxUG4rbr4ECBAgQIAAgfITaE5uQAKi/N4vZkyAAAECBAgQaHMBiYg2XwIBNFNA4qGZgG4nQIAAAQIECBAoGgEJiKJZKoESIECAAAECBAgcKiARcaiGx8UgIPFQDKskRgIECBAgQIAAgZYUkIBoSU19ESBAgAABAgQIFFxAIqLg5AZspIDEQyPBXE6AAAECBAgQIFAyAhIQJbOUJkKAAAECBAgQKG8BiYjyXv88zl7iIY+rIiYCBAgQIECAAIFCCkhAFFLbWAQIECBAgAABAq0uIBHR6sQGOI6AxMNxgLxMgAABAgQIECBQNgISEGWz1CZKgAABAgQIECgvgd9PRHx55cro3ad3eSGYbcEFxlx3Xay9b210OaVLjBg5MgYNHhwdO3YseBwGJECAAAECBAgQIJAHAQmIPKyCGAgQIECAAAECBFpNICUivvbVr0Xfqr5RWVnZauPomEAS+MKCL8RJJ3WSePB2IECAAAECBAgQIFAnIAHhbUCAAAECBAgQIECAAAECBAgQIECAAAECBAi0uEBzEhCva/FodEiAAAECBAgQIECAAAECBAgQIECAAAECBAiUvYAERNm/BQAQIECAAAECBAgQIECAAAECBAgQIECAAIGWF5CAaHlTPRIgQIAAAQIECBAgQIAAAQIECBAgQIAAgbIXkIAo+7cAAAIECBAgQIAAAQIECBAgQOD/t28HpxEDQBAEObhAzlz+MdpOQTDsp8tve4RK+2tMgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIG8MGhwAABxpJREFUECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2AsIEHtTiwQIECBAgAABAgQIECBAgAABAgQIECBAIC8gQORPAAABAgQIECBAgAABAgQIECBAgAABAgQIENgLCBB7U4sECBAgQIAAAQIECBAgQIAAAQIECBAgQCAvIEDkTwAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYCwgQe1OLBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyBA5E8AAAECBAgQIECAAAECBAgQIECAAAECBAgQ2Au8n05+Pz9P/8TvEyBAgAABAgQIECBAgAABAgQIECBAgAABAjEB/wER++BelwABAgQIECBAgAABAgQIECBAgAABAgQIXAi8fv9/Lh7kGQQIECBAgAABAgQIECBAgAABAgQIECBAgEBHwH9AdL61NyVAgAABAgQIECBAgAABAgQIECBAgAABAmcCAsQZtQcRIECAAAECBAgQIECAAAECBAgQIECAAIGOgADR+dbelAABAgQIECBAgAABAgQIECBAgAABAgQInAkIEGfUHkSAAAECBAgQIECAAAECBAgQIECAAAECBDoCAkTnW3tTAgQIECBAgAABAgQIECBAgAABAgQIECBwJiBAnFF7EAECBAgQIECAAAECBAgQIECAAAECBAgQ6AgIEJ1v7U0JECBAgAABAgQIECBAgAABAgQIECBAgMCZgABxRu1BBAgQIECAAAECBAgQIECAAAECBAgQIECgIyBAdL61NyVAgAABAgQIECBAgAABAgQIECBAgAABAmcCAsQZtQcRIECAAAECBAgQIECAAAECBAgQIECAAIGOgADR+dbelAABAgQIECBAgAABAgQIECBAgAABAgQInAkIEGfUHkSAAAECBAgQIECAAAECBAgQIECAAAECBDoCAkTnW3tTAgQIECBAgAABAgQIECBAgAABAgQIECBwJiBAnFF7EAECBAgQIECAAAECBAgQIECAAAECBAgQ6AgIEJ1v7U0JECBAgAABAgQIECBAgAABAgQIECBAgMCZwB9Odj3yF28z2wAAAABJRU5ErkJggg==" alt></p>
<p>P is at the centre of the hexagon.</p>
<p>(i) Show, using Coulomb’s law, that the magnitude of the electric field strength at point P due to <strong>one</strong> of the point charges is</p>
<p>\[\frac{{kQ}}{{{a^2}}}\]</p>
<p>(ii) On the diagram, draw arrows to represent the direction of the field at P due to point charge A (label this direction A) and point charge B (label this direction B).</p>
<p>(iii) The magnitude of <em>Q</em> is 3.2 μC and length <em>a</em> is 0.15 m. Determine the magnitude and the direction of the electric field strength at point P due to all six charges.</p>
<div class="marks">[8]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about simple harmonic motion (SHM). <strong>Part 2</strong> is about current electricity.</p>
<p><strong>Part 1</strong> Simple harmonic motion (SHM)</p>
<p>An object is placed on a frictionless surface. The object is attached by a spring fixed at one end and oscillates at the end of the spring with simple harmonic motion (SHM).</p>
<h4><img 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" alt></h4>
<p>The tension <em>F</em> in the spring is given by <em>F = k x</em> where <em>x</em> is the extension of the spring and<em> k</em> is a constant.</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Current electricity</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that \({\omega ^2} = \frac{k}{m}\).</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>One cycle of the variation of displacement with time is shown for two separate mass–spring systems, A and B.</p>
<p><img 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" alt></p>
<p>(i) Calculate the frequency of the oscillation of A.</p>
<p>(ii) The springs used in A and B are identical. Show that the mass in A is equal to the mass in B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation of the potential energy of A with displacement.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>On the axes,</p>
<p>(i) draw a graph to show the variation of kinetic energy with displacement for the mass in A. Label this A.</p>
<p>(ii) sketch a graph to show the variation of kinetic energy with displacement for the mass in B. Label this B.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A 24 Ω resistor is made from a conducting wire.</p>
<p>(i) The diameter of the wire is 0.30 mm and the wire has a resistivity of 1.7\( \times \)10<sup>–8</sup>Ωm. Calculate the length of the wire.</p>
<p>(ii) On the axes, draw a graph to show how the resistance of the wire in (d)(i) varies with the diameter of the wire when the length is constant. The data point for the diameter of 0.30 mm has already been plotted for you.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The 24 Ω resistor is covered in an insulating material. Explain the reasons for the differences between the electrical properties of the insulating material and the electrical properties of the wire.</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>An electric circuit consists of a supply connected to a 24Ω resistor in parallel with a variable resistor of resistance <em>R</em>. The supply has an emf of 12V and an internal resistance of 11Ω.</p>
<p><img 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" alt></p>
<p>Power supplies deliver maximum power to an external circuit when the resistance of the external circuit equals the internal resistance of the power supply.</p>
<p>(i) Determine the value of <em>R</em> for this circuit at which maximum power is delivered to the external circuit.</p>
<p>(ii) Calculate the reading on the voltmeter for the value of <em>R</em> you determined in (f)(i).</p>
<p>(iii) Calculate the total power dissipated in the circuit when the maximum power is being delivered to the external circuit.</p>
<div class="marks">[8]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. Part 1 is about a thermistor circuit. Part 2 is about vibrations and waves.</p>
<p><strong>Part 1</strong> Thermistor circuit<br>The circuit shows a negative temperature coefficient (NTC) thermistor X and a 100 kΩ fixed resistor R connected across a battery.</p>
<p><img src="data:image/png;base64,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" alt><br>The battery has an electromotive force (emf) of 12.0 V and negligible internal resistance.</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Vibrations and waves</p>
<p>The cone and dust cap D of a loudspeaker L vibrates with a frequency of 1.25 kHz with simple harmonic motion (SHM).</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define <em>electromotive force (emf)</em>.</p>
<p>(ii) State how the emf of the battery can be measured.</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 below shows the variation with temperature <em>T</em> of the resistance <em>R</em><sub>X</sub> of the thermistor.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Determine the temperature of X when the potential difference across R is 4.5V.</p>
<p>(ii) State the range of temperatures for which the change in the resistance of the thermistor is most sensitive to changes in temperature.</p>
<p>(iii) State and explain the effect of a decrease in temperature on the ratio</p>
<p>\[\frac{{{\rm{voltage across X}}}}{{{\rm{voltage across R}}}}\].</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>Define <em>simple harmonic motion (SHM)</em>.</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>D has mass 6.5 \( \times \) 10<sup>−3</sup> kg and vibrates with amplitude 0.85 mm.</p>
<p>(i) Calculate the maximum acceleration of D.</p>
<p>(ii) Determine the total energy of D.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The sound waves from the loudspeaker travel in air with speed 330 ms<sup>−1</sup>.</p>
<p>(i) Calculate the wavelength of the sound waves.</p>
<p>(ii) Describe the characteristics of sound waves in air.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second loudspeaker S emits the same frequency as L but vibrates out of phase with L. The graph below shows the variation with time <em>t</em> of the displacement <em>x</em> of the waves emitted by S and L.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Deduce the relationship between the phase of L and the phase of S.</p>
<p>(ii) On the graph, sketch the variation with <em>t</em> of <em>x</em> for the wave formed by the superposition of the two waves.</p>
<div class="marks">[6]</div>
<div class="question_part_label">f.</div>
</div>
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