Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
11. Momentum & Impulse
Elastic Collisions
11. Momentum & Impulse
Elastic Collisions: Study with Video Lessons, Practice Problems & Examples
9PRACTICE PROBLEM
A spacecraft (mass = 720 kg ) traveling at 11.2skm in the + 𝑦 direction approaches Jupiter, which moves at 13.1skm in the - 𝑦 direction and has a mass of 1.90×1027 kg. During a gravity slingshot, the spacecraft curves around Jupiter, depicted by a dashed trajectory. Assuming only gravitational forces act and Jupiter's motion remains unaffected by the spacecraft, find the spacecraft's final speed after escaping Jupiter's gravity.
![Diagram showing a spacecraft's trajectory around Jupiter during a gravity slingshot.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA+wAAARTCAIAAAB+gD7xAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAOiISURBVHhe7N0JgFP1vff/jKCikmCtWjUBudWrJkC11WuCWKi9LIJL+7AUpN6nCmXxepWhoD5PqyDI9XlcKAO2f1kKbohQwKeCioBXC1ckabFVgYxabVkyuNQqk6ACIvP/nnN+kzmTnJzZMlnOeb+axu/3ZJnMMMvn/PI7v1NRV1fnAYDmSSaTsa3ReDwu9aTJlcZGAABQYIR4AE1LJBIb129YvXJldXW1sSUYDD77wjqjBgAABUaIB2Bn9cpVq1etjEVjqjd5b/cuVQEAgMIixAOwJvF97pw5NTU1qs+yacsrgUBANQAAoICOUf8FgHob12/oe1mf26dOtUnwoiaRUFULTRg3TvYQVAMAAFqOEA+gQSKRGD1y5MTx4+3juyG6NaqqlpD4/uKGjbKHIB/IOEAWAAC0FCEegPLI4iVXXznYcvq7pWQyqaqWmDtnjlHIB7pm8JC5c6qMFgAANB8hHoAWxyeMGzdr5sxUKqU2NUN1fKeqmk0ie8YY/7yqKtlzSLR2Zg4AAO7Ega2A28Xj8Yk/Hdec+TMZvF7v6zu2q6YZZFeh72V9LPcT5KkemD17wKCBqgcAALYYiQfcrnpnvBUJXrRo2F48snhJrofI9onjxzO1BgCAZmIkHoDntilTnl61WjXNEAwGw717RyKRcO+Iz+dTW20lEomrrxzcZO4fOnzYA7NnqwYAAORAiAegkYSdPhtrLn6/f9iIEcNGDG/F8vDN308IR8LzFy1q5r4BAADuRIgHoEkmk5Ljc82rkfg+afJkie+qb6FEItGvz+WqaYZgMLjstyvI8QAA5MKceAAaSczzf7PI6/Wqvp5suXPatM2vbml1gheBQOD+Bx/MfvJcqqurR/9oZOuWsAQAwA0YiQfQYPXKVbdPnaoafWbL/bNnt2LyjCUJ5bdNmfLiho2qbwrj8QAA5EKIB9DI3DlV86q0VWLunDbtxrFjjI15tHH9BonyzVzZhhwPAIAlQjyATPfMmDlsxPBQKKT6fEskEhN/Oq7J42gN7bQvAQBAWSPEAyiCZDJ5z4wZTa5XQ4IHAMASIR5A0divO3n/gw+25WhaAAAcjBAPoJgyDqU1eL3eu6ZPJ8EDAJALIR5AkWXkeEnwy367ov1m5AMA4ACsEw+gyIaNGH7/gw8aNQkeAIDmYCQecKxkMllGizM+snjJ6pUr7//lbBI8AABNIsQDzpRIJK6+cvCAQQPvmj6dddYBAHAYQjzgTJLgjYXYg8Egw9sAADgMc+IBB5o7pyp9KiUpRv9o5OqVq4wWAAA4ACPxgNPE4/FrBg9RjcnQ4cOYWgMAgDMQ4gFHSSaTV185uKamRvWNMbUGAABnYDoN4Chz51TlSvDCmFqzcf0G1QMAgPJEiAecIxaNPrpkiWpyC/ZgJB4AgPJGiAec47afTVFVbg/Mnh0IBFQDAADKEyEecAj7iTSGocOHDRg0UDWOsHH9hr6X9UkkEqoHAMAdOLAVcAJJsf36XK6aHPx+/7MvrHPM6jTJZPK2KVNe3LBR6nAkvGzFCmM7AABuwEg84AS3T2nGRJpfznZMgjcG4I0EL2LRGAvhAwBchRAPlD3Jr5JiVZPDDWPGhCMR1ZSzZDI5Ydy4iePHp1IptUl3z4wZcpNqAABwOqbTAOVNkmvfy/pkJNoMjplIs3H9htumTMn1yQ4dPuyB2bNVAwCAozESD5S3RxYvsU/wwhkTaeQzzR6AN3t61epYNKoaAAAcjZF4oIw153jW/gMHLFi0SDXlrDnvOQSDwWdfWKcaAACci5F4oIxV74x7vV7VWJFbHTPDxOfzTZo8WTU5VFdXP7K46dNdAQBQ7gjxQBkbMGjgsy+sGzp8mOqzSOp1zIo04saxY8KRsGpymDtnDke4AgAcjxAPlLdAIPDA7NnLVizPTrfBYFBSr2qc4s7p01WVQyqVmjunSjUAADgUc+IB51i9ctXcOXPS523Vk70TlpXMIBl9XlUTMX3Tlldk90Y1AAA4DiEecJRkMvnI4iWPLF48YNBAp663KJ/j1VcOTu+rWOIcrgAAZyPEAw5kTAp30mz4DBvXb5g4frxqcnDqGxEAAAhCPICyNHrkSPvz1LLcJADAwTiwFUBZavII1+rq6tUrV6kGAABnIcQDKEuhUMhmbU3D3DlzVAUAgLMQ4gGUq7umT7c511UwGHzgl848tBcAAEI8gHLl8/luHDtWNSZ+v//+Bx989oV1HNgKAHAqDmwFUMaSyWTfy/qkUimj9Xq9d02fPmzEcKMFAMCpGIkHUMZ8Pp+kdikkvt9aWbn51S0keACAGzASD6DsPbJ4iWR3B6+LDwBABkI8AAAAUGaYTgMAAACUGUI8UAbmzqlKJBKqAQAArkeIB0rd6pWr5lVV9etz+W1TphDlAQCAYE48UOr6XtanpqZGNR7P0OHDbhw7NhQKqR4AALgPI/FASVu9cpU5wYunV62+ZvCQ0SNHxqJRtQkAALgMI/FASdPDekw1WcKR8P2zZwcCAdUDAAB3YCQeKF2xaNQmwYvE3gQJHgAAFyLEA6VryeLFqsph0uTJqgIAAG7CdBqgRCUSiX59LleNFb/fv/nVLaoBAABuwkg8UKLmzpmjqhyGjRihKgAA4DKEeKAUJZPJjes3qMaK1+u9cewY1aAlVq9c1feyPqztAwAoa4R4oBRJ0EylUqqxMmzECJ/Ppxo0g+wXzZ1TdVHPXrdPnVpTU9Pk8QYAAJQy5sQDpSjjBE/ZNm15hXVpmimRSMydM2fj+g0Z+0V8DQEA5YuReKDkSNy0T/BDhw8jfTZHLBq9bcqUfn0uf3rV6ux3Npo86gAAgJLFSDxQcuxP8CSWrVgejkRUg9wu6tnLZlaS1+vd/OoWZiUBAMoRI/FAaUkkEvYJPhgMkuCbyX4BH8n3jyxeohoAAMoKIR4oLU3GyhvHjlUVmtLkAj6rV65UFQAAZYUQD5QW+1jp9XqHjRiuGjQlEAgMHT5MNVZqampWr1ylGgAAygchHighyWRy0uTJfr9f9VkYhm+p4U2dEmv1KgbjAQDlhwNbgVIUi0aXLF784oaNqq/Hqoit0OSBwmvXPR8KhVQDAEA5YCQeKEXhSGTBokUS2W+trEwPzPcfOIAE3wrDhjcxGP8IJ34CAJQbRuKBMrB65arVq1beOGbsgEED1Sa0RJMnz/rz9jdZaxIAUEYYiQfKwLARw5etWEGCbzX7tSYFh7cCAMoLI/EAnC+ZTH6717dUY8Xv929+dYtqAAAoeYzEA3A+n8/X5FqTG9dvUA0AACWPEA/AFZpcnXMVa00CAMoHIR6AK4RCoWAwqBorL27YmEwmVQMAQGkjxANwi1yD8X6//9bKyk1bXmGBGgBAueDAVgAuclHPXqlUSjXaevxhFu4EAJQjRuIBuIix1qTX671hzJhNW15h4U4AQJliJB6AiyQSidjW6LARw1UPAEB5IsQDAAAAZYbpNAAAAECZIcQDAAAAZYYQDxRNPB5XFQAAQEswJx4omot69pLrYSNGDBsxPBQKGRsBAACaRIgHimPj+g0Tx49XjccTDAYlzQ8YNDAQCKhNAAAAORDigeK4bcqUp1etVo1J/4EDBg4cJGmes4cCAIBcCPFAESSTyW/3+pZqrEiUX7BokWoAAAAa48BWoAg2rt+gqhyGD9dOLAoAAGCJEA8UwYYN61Vlxev1Dhg0UDUAAABZCPFAoSUSiRc3bFSNFRI8AACwR4gHCq3puTQjmEsDAADsEOKBQlu9cqWqrPj9/nAkohoUlexuzZ1TpRoAAEoJIR4oqEQiUV1drRorAwYNUhWKJB6P3zNj5kU9e00cP35eVVUymVQ3AABQMgjxQEE1OZdm2IjhqkJhyf7VI4uXXH3l4GsGD3l0yZJUKmVsX71ylVEAAFA6WCceKCjJiDYj8cFg8NkX1qkGhSJ7VqtWrcx1tDH/KACAEsRIPFA4Tc6lGcYhrcUQjUZt1guSfzL5h1MNAAClgRAPFM4ji5eoKgcWlyyKJqcwNfkPBwBAgRHigcLZuN7uHE/BYDAQCKgGBRQKhfx+v2qs2P/DAQBQeIR4oEDi8XhNTY1qrDCXpohuHDtWVVbkH07++VQDAEAJIMQDBdLkujTMpSmiJr/4jyxerCoAAEoAIR4okEmTK+cvXDh0+DCv16s2mTCXprjkix+OhFVjpcl9MAAACokQDxTOgEEDH5g9+/Ud27PTPHNpim7YcLt/glQqRY4HAJQO1okHikly4YYN6+X62RfWMRJfXMlk8tu9vqUaK7LfJftgqgEAoKgI8QCgTBg3zmbBeK/X+/qO7aoBAKComE4DAMrwpmbUrF65SjUAABQVIR4AlAGDBloedpy2YQMLxgMASgIhHgAa2K81+eKGjclkUjUAABQPIR4AGgwcOEhVObBGDQCgFBDiAaCB/YwauYmReABAKSDEA0Aj2TNqJLsPHT5s/sKFr+/YfuPYMWorAADFwxKTANBIPB6/ZvAQKSS7S6AfOHCQ/UR5AAAKjxAPAJnumTEzEomQ3QEAJYsQDwAAAJQZ5sQDAAAAZYYQDwAAAJQZptMAQN4kEomaRCJZm4zH49Imk8nq+E51095ETU2NUdsIBoO+Lj5Vh3r4fFod6R3R25DRAgBAiAfai+S5QCCgGjiOHtDj8Z1x+YeWpN7MjN52RsoPR3pLoA/1CJHsAcCdCPFAu9i4fsPE8eMlbw0bMSLcOxIKhdQNKFtaWN8psT0ei26V7J5KpdQNxeb3+4M95FusR6R3hEwPAC5BiAfaxW1Tpjy9arVq9Jg1YNCggYMGhiPavAiUCy2yb43G4zvlujAD7W0n32yy3xiJ9JZr3gsCAKcixAPtou9lfSwzn3H+oBvHjmVsvmQlk8mN6zdEo1tbF9wv8B/jPaHCf0pF4JRjPHXSdvCdUCFFneeY4Fkd5CZPndbKr1/t3lJIqxXadfKLuuqar7TW46n59GjNp1r91vtHUl/U1ez/at9+dVPzGYF+4MBBcs0IPQA4CSEeyL94/Sk/c5m/cCEnEio18q8m2X3j+vXV1dVqU1POOqXC//WK8D8f4z/lGCm0vN5JT+QS0I10rn6/6iG+rn41sNwhXn4fm+6mX9TdjCf0JPYflSj/1vtfpr44+oddh9/64MiBQ0e1OzRDOBIeoJ99luF5AHAAQjyQf3PnVM2rqlKNlT9vf5Nh0RIh2X31ylWS3Zsz6H6WRPbzKoIBuXS49LxjJFtrv0EzorbGyNyN2ryE+LqGR6lbUwePvvXBl3/UAv2Xb3345b7apkfrjUM1SPMAUNYI8UD+XX3lYJvR3P4DByxYtEg1KJJEIiHZffXKlU1m9wu6ei49ryJ8/jGX/nOF70QJ00YE16N2CYT4hlZTUbP/qz/uOiRp/o+7D7390ZfG1lxI8wBQvgjxQJ5JOuzX53LVWLn/wQeHjRiuGhSWMd999aqVsWhMbbLi/7rn0vM9A74t8f0Y34lattZSuxGaVQQv0RCvvx71cffVfiVRXi7/9Zcv7GfdyI7lwIGD+LYEgDJCiAfybPXKVbdPnaoaK5u2vMLAZ+HF4/FHFi+WBG+zNOQFXesGfMfT/9t1wa7SSRSWixapyzTEGx/XqN/66Mtn3vzspb98sS95RL/JgtfrHTZixI1jx/D9CQCljxAP5NmEceNe3LBRNVmCweCzL6xTDQpCgvsjSxbbDL1Ldh/23aP9v1Pn/7qegIV2LQlYLg4J8Rp9e/VHh5/Z8dnLtmm+/8ABY8aOZTlUAChlhHggz845u7uqrNxaWTlpcqVq0J6MmTNz58zJNevdf2rd0O9+Nezyo1p217KuZFz9ojVybbROC/Gqq6t468PDz+w88MzOz3LNtJEdzhvHjmWODQCUJkI8kE+SGieOH68aK2vXPc8K8e1N4vsji5c8snhxrpkzQ797ROJ7OHhUz7jaIjOy0W0hPn2fl/7yuaT5l9/73Ogz+P3+SZMnE+UBoNQQ4oF8umfGzEeXLFFNFslDm1/dohq0A/v47j+17obBh4d+96jvBOP3npFx3R7ijfvsSx6RKP/En5OWA/NEeQAoNYR4IJ9ynajVMHT4sAdmz1YN8so+vl8a/OqGKw8PuERfQ11L7fpWlV8J8fX30Ytn4geW/jn59seH9U2NEOUBoHQQ4oG84UStxbJ65ap7ZsywjO9D+x2+YfCXwW5f6SnZiLyE+Bz3MRV/TBx8OLZ/W81BvW+EKA8ApYAQD+TNI4uXzJo5UzVWOFFr3sWi0dt+NsXy3Y+h/Q7dOvyQ/7SjKrVrKdmIvIT4HPcxFcZfhm2Jg89UH1jz1gF9ayPhSFiiPCvYAECxEOKBvBk9cqTNOoacqDW/EonE7VOmWH7Btfg+4nP/qUc9ng5ab6R2LSUbkZcQn+M+pkL9ZdC37Eseuf+VT17+m8WRr0OHD7tr+nR2TQGg8Or/WgBom2QyaX8S0Eikt6rQNvKlnjunql+fy7O/4BLff/+rT+/79wPaADzy5Cxvx6rBpy/+wRkXn9VJbar39KrVfS/r88jinAdzAwDaCSPxQH5Isly9clU0ujXXmZ44UWte5Jo/c2noy1tHfBEOfal6of1uYyQ+fZParjrL+5gK9ZfB2GLauG3fwfu3fPLOPzIPew0Gg3fdPZ3ZNQBQMIR4IP82rt8QjUY3rl+fzposLtl2spt025Qp2ftI/tOO/uInnw34l6zVVLTfbYT49E1qu+os72Mq1F8GY0vWxjVvH7j/1U8OHM58u+OGMWMmTa5kdg0AFAAhHmhH8Xg8tjW6ccP6YKjHXdOnqa1oOdkvkgSfsf6M98S6G4YcvHWE9VmK9OhJiE/fpLarzvI+pkL9ZTC2WG1MHT46f9unT+7IXBFI9lcf+OVshuQBoL0R4gGUtFwD8P3/5fCdN3ymH72ag/a7jRCfvkltV53lfUyF+stgbLHcqBV1b318+IGtn772QeZKlAzJA0B7I8QDKF2xaHTCT8dlD8Dfd7Mxf+aokX2tab/bCPHpm9R21Vnex1SovwzGFsuNWqH/AanzPLkzOf9PtRmza4LB4P2/nB0KhVQPAMgrQjyAEnXPjJmPLslc9uQn2vyZL3wnGb+4CPGmVlOcEC/2pY5M2/yP7CH5O6dNu3HsGNUAAPKHEA+g5CQSiYk/HVddXa16nffEuodvOxDuYVp/hhBvbjVFC/HGRm1I/vXMIfn+Awc8MHs2U2sAIL/q/1oAQGnYuH7D1VcOzkjw/f/ly03/36eNEzxKzo9DvhXXnnnxNxotJ//iho3yDxqPx1UPAMgHRuIBlJC5c6rmVVWpRuc9se7OGz8f9j1tBnydPlxtwki8qdUUeSQ+Xc9/ff+CN2r1psH9Dz44bMRw1QAA2oYQD6AkWK5CE+z+1cO3pwLa6VclrRLi5X/pR5lvNWpRKiFeLm9/cnjyy39//7Mj+iZl6PBhD8yerRoAQBvU/7UAgOKJx+OjfzQyI8EP/d6htQ/U6gke5ef8U45bcfWZ3+t6oup1T69affWVg2WHTfUAgNZiJB5AkWWvI6lPofli2BUH1ciupoKReLmU0Uh8uniyOvnga5/qveL3++f/ZhGrTwJAWzASD6CYVq9cNXrkKHOC9592dNnM1LArDqseZe7HF3gX9j+987ENf25qampG/2ik7LypHgDQcoR4AEUzd07V7VOnqkYX7P7V2tnJ4D99pXo4wiXf6LR8yBnnnXyc6j0e2W2TnTfZhVM9AKCFCPEAiuO2KVMyFqIZesXhtb88UH8iJzjKWSd1XPSvp198+vGq18kuHDkeAFqHEA+gCCTBP71qtWp0vxjzxf23fKEaOJH3uGMWff8b13Q/SfU6yfHyzaAaAECzEeIBFFQymZwwblxGgr/vP7648epDqoGjzQh/feq3v6YanXwzkOMBoKU63H333aoE0BISRm/9j//4+O8fn3b6aZxSvpnkizb6RyP/EIupXl+IZvV9n/f99hF9KRN9rRW1sonU5nk1RmvcIS17SwZjnMK4j1ynC0P29uzaaIV5u1Gkr0Xe27Tm3JrW/Dvnuk8h9Pr68Wee1PH3NQ1vvFTHqxOJvQMHDVI9AKApLDEJtNLG9Rsmjh9v1H6/P9w7MnDgILkm0OdiJPjq6mrV6wl+2azPtcNYtd9DxhmdJJnrC8NrSy4eNcV4rWWJyXJcYlK7W0OtX/T25cQX0//4jwNfNpwHgFNBAUDzEeKBVrpnxsxHlyxRjUkwGBwwaNCAQQNZBtvMOsH/5+fB7vpCNNrvIUK89oHcE+Ll8vanh8dt+ogcDwCtUP/XAkALbVy/XlWNSU6dV1XFmhtm1gn+3s+D/9SQ3uBC55983KK+jZaQZ348ADQTIR5ojUQiUVNToxorkUhEVdDetZiRleC/YDF4CHI8ALQOIR5ojdjWJk42OWDQQFW5XsZqkvUJnjF4KJY5/p4ZM1UDALBCiAdaIxrdqior4UhYVa5nleCZRYNM53c5btF3G+X4R5csYU4aANggxAOtsXH9BlVZCUd6q8rdHlm8pFGCP0kS/MHgN0nwsKDl+Msb5XjO5woANgjxQIvF4/FUKqUaK8ylERK/Zs1smBFBgkeTJMdP7dXoPFD3zJghP26qAQCYEOKBFrOfEO/1ellcUoLX7VOnqkY3/xeHSfBo0rXdTrr7219Xjccje8ujfzSSHA8A2QjxQIs1MSG+t9vXpUkkEhK8VKO7r/JQuBdr0aBZrul20vjzu6hGz/G3/2xKMplUPQBAR4gHWsx+JD7i7gnxErYm/nScebrRL8Z/Oaz/EdUAzTDh/C5Xdz1JNfq5F1h0EgAyEOKBlolFo/YT4l0+Ep+xJPzQf/3qxh+Q4NFiMy76+sVfP141Hs+LGzay6CQAmBHigZaJ2g7D+/1+N0+Iz1iOJvjNuvt/RoJHK82+5LTzfMepRl900n5VKABwFUI80DIxJsTnEItGzcvR+E+ve/K+w6oBWs577DF3X3RK544Nf6dumzKFg1wBwECIB1omFo2pyoprJ8Qnk8kJPx2nGm1BSc/8aV/6TqpTPdAq5/mOu/vCRovVcJArABgI8UALxKJ2c2mEa0fiJ45rdDDrnROOBL9JgkcefO+ME8b/c8NiNdXV1ffMmKEaAHAxQjzQAvGddm/l+/3+QCCgGjeZO6fK/AbF0AFHhw1gQUnkjYT475zScJDr06tWMzkeAAjxQAvcOHbMn7e/ef+DDw4dPkwiu9paz53D8PF4fF5VlWr0g1nvnMDBrMiz2d85NWNyfCKRUA0AuFJFXR1veQOtJDEitjUajW6V65qaGgn3w0YMV7e5QzKZvPrKwfK5G633JM+y+78KnvOVR36xaL9a5LrC4znqqZOLFMZGo64vjF9BxnaPvl3urF0bD9RKndbWqQempZ/KivbYDnpxjFZr99TvbLQa+ehGq22v01r9ojX6nbVWC476azQeZWzUW+0G+RWqPbL+mY2bhF40buv0p9Ko7cZD9NbYKFeN7qZfzM+sff3SjzLfatTCeD2NPm59rbarzvI+psL4Z1FbLDdqhf4HxLzRXKcL48+MqvWLTStX6dp4taque+2TQxNiH2n30IUj4WUrVqgGANyHEA/khwR6n0717nDPjJmPLlmiGo/nvilfDRsgv1IkW9fnLy2bSmukbWNjOnnrhfEryNiuIikhXqfdJP8xPbP29Us/ynyrUQsnh3gpF75Tu/C9hqNa75w27caxY1QDAC5T/9cCQNsEAgG3JfhYNGpO8P0vqxs2UM/fQPsYf26X87zHqkY7GGMOk2oAuBYhHkBrJJPJ237WcCZ870me+6eS4NHuHryoYXK8tuLklIZvQgBwFUI8gNaYO6cqPRVe3H/bV77Oqgbaz1kndBx/TsNbXrFo7JHFDW8HAYB7EOIBtFjGRJqhA+sG9NGmLAMFMLqb9ztfa1hxkkk1ANyJEA+gxe65u+FsO96TPHfeRIJHQd0dOsU8qYbTPwFwIUI8gJZ5ZPGS6upq1Xg899/uYSINCuysTh1Hd234tntxw0ZO/wTAbQjxAFogmUzOnTNHNR7PpRd6BvRRNVBI4/+py3mdG1aquWfGDPnmVA0AuADrxANogdumTHl61WqjPu5Yz+hr9GF4tbJ3hbGYt1ar3ytSVOg3pbcI060NDxF6q/3XtCVdajdl/7Yynt+G8YSma41piXSRud3YmC60a/3upkelbxXpjULVov7OplsbLXKf+xnUSvB63UB9CnptaPyoNP1rlH6puobacnvjZ6gvGv2zGCwK/V5N3rNFrfzX+m76f9I36cW+L448+8Hn+ibNrZWVkyZXqgYAnI4QD6C5YtHo6JGjVAOUGK/X++wL6wKBgOoBwNGYTgOguYyJND5v/VAxUDI6H1ORSqXMc70AwNkI8QCaZeP6DbFoTIpkirfvUHIOHNW+LZ9etToejxtbAMDZmE4DoFn6XtYnfXYn/zc8w66s0CYmG78/tF8jcqlomM6sfq8Yc9b1W9UWYbq14SFCb7X/mrakS+2m7N9WxvPbMJ7QdK1JTw233G5sTBfatX5306PSt4r0RqFqUX9n063MiW9WK/+1vpv+n/RN9YW2uc7zVE3qwFfGJk84El62YoVRA4CDEeIBNG31ylW3T52qGo/nyaoO4Qvlv0flf1qMqpP/HNWCphRa3JRrI38bIVtaY7ux0ajri4ZwJk9iBEop5Np4oFbqtLZRDtakn8qK9tgOenGMVmv31O9stBo91Gqttl1Lz1IYT2jcWWu1tyv112g8ytiot9oN8itUe2T9Mxs3Cb1o3NbpT6VR242H6K2xUa4a3U2/mJ9Z+/qlH2W+1aiF8Xoafdz6Wm1XneV9TIXxz6K2WG7UCv0PiHmjuU4X6ayfvti0cpWujVeraq3UvkeM1ijkO0Kvn/3gsxl/+VS7g27ZiuXhSEQ1AOBQTKcB0DTzVOOhVx4TvkjPjkBpuPobJ32nS6NzuKoKAJyLEA804Zyzu1995eB7ZszcuH6DOxeiXr1yVXoijbj1Rn14Gygl47v6VKUtoxSLRaOqAQCHYjoNYCd7UcVgMBju3TsSiYR7R3y+htzgYObZ8EOvPOb+/91Rnx6jz2PQZjXUMZ2m/pmNm4ReNG6ZTtNwsWnlKl0br1bVWql9jxitUdRPpzE2Ttj+9z8lD2l3Y2Y8ABdgJB6wE92aOZ5XXV396JIlE8eP/3avb00YN05tda7MYfgxDMOjRDEYD8BVCPGAnVh0q6qsuGEkvtFs+MEdAmfoQ79A6bm4y/Hf8TEzHoBbEOIBO/GddmtORyK9VeVQWcPwHVUFlKTxAQbjAbgFIR7IKR6Pp1Ip1VgJ93b4MnaPLF6sKmMY/kyG4VHSLvYd/x1vw2D8qpUrVQUAjkOIB3KKZU2IN/P7/YFAQDVOFItGq6urVaMNwx+rKqCEXXdGZ1XpJ3BNJBKqAQBnIcQDOUVtJ8QHe4RU5VBLTMPwl36bYXiUh35fO+HM4xoOv35k8RJVAYCzEOKBnOxH4p09IT6RSLy4YaNqPJ5JYxmGR9kY52+YGb965Up3nt4BgOMR4gFrkmLdPCF+9cpVqvJ4/GdUhL/NypIoG/2+dkLnDuqvm/wUb1y/wagBwEkI8YA1+2F4r9cbCjl5Oo35kNZJPz1OVUA58HY45uqvn6iaxt/MAOAYhHjAmv2EeMcPw6ffhfB2rhjQj5UlUWau+0bD4a3V1dXxuN1asQBQjgjxgDX7kfhQqIeqnGjDhvWq8ngkwfs6c0grysyZx3X8TueGtSYZjAfgPIR4wEIymTSf5ChbxLkj8RmHtN44krk0KEvmGTVMiwfgPIR4wIL9MLwIRxwb4s1xx3/mMaHz+C2BsnT1108yH95qPlYbAByAP8+Ahajt2drDkbCqnGi16SSXN45iGB5lrF+XTqpqPEkMpeOKvv3O7f5Plhd1DwA5EOIBC7Gttke1OneF+Hg8bj5L64DvsTw8ytio07yq8nhe3LCx/RaM3/LKlowA2uTlJ9dfrx4MAK1CiAcs+Lr4vN6GP/8ZHLy4pHnKQf9+xwbO5FcEyth5Jxx7hunsrcyMB+Ak/IUGLCxbseL1HdvXrnv+zmnThg4f5vf71Q06B68vuXF9w5SDgawsifLXz3eCqtpzRk2fy/v8bu2aUaOvU72trt263XbHHY8tXap6AGiVirq6OlUCyC2RSFTvjEej0WSy9oHZs9VWZ4nH49cMHqIaj+fP/+XzeSs8R4965NfE0TpP3VGPp05v5b/aRo/nqPxPK7SbZEuFvr1Cr2WjPIdcG62x3dho1PWF8SvI2O7Rt2vPJtfGA7VSp7V16oFp6aeyoj1WH4WtO0artXvqdzZajXx0o9W212mtftEa/c5aq4106K/ReJSxUW+1G+RXqPbI+mc2bhJ60bit059Ko7YbD9FbY6NcNbqbfjE/s/b1Sz/KfKtRC+P1NPq49bXarjrL+5gK459FbbHcqBX6HxDzRnOdLow/M6rWLzatXKVr49WqWiu17xGjNQr5jkjX9du1b5/6jVK/8/mX//bOh9pjdX/e/qbP51NNO1jw8PwH7rtPNVYkwUvc79Kli+pd74q+/fbu2aOaxt7d9TdVAbDCSDzQLIFAYMCggXdNn+bUBC/Mkw369ztWS/BAmdNm1BxbuBk1TQ7GD7lqCAk+j3Zs355xsIFxkb0pdQ/AuQjxAJRGc2k4pBVO0a9Lw4wa+zMxt50E9K7duqnGSs+evVSFfKitba+DlYHSR4gHoNHmC5nWpQlfzIR4OMTVXztJVQU5trVbt66qsuJjGD6vck3FAdyAEA9AYz6/VfC8DqxLA8c4r9Ox5rM+xWzPAoECe3nzpnd3/c3you5hq7a2VlWA+/B3GoDGvHDHgO9xjic4Sj+v6axPLDTpIDt2bFcV4D6sTgNAc1HPXqlUyqh7BjuelJ5FXL+yiFoeRC+NK4u64b/1rUF7bEXmRtFoQ8ZD1H9NjCcxs7hTY8biLRmPSi/MklZ/h4btubcIbaNqGz1T5gfKuDnjGdJybTfot9Zvb7jd4p4i+1NryT2F7cNVmXEf24doMv7KZN9f5HhO9V/zrek6V2G1/R9Hvtp96IjRBYPBZ19YZ9Tt4SfXX7/llS2qyfLY0qV9Lu+jGrTZD6+5dsd2ixx/2x13TLhpomoAhyLEA8hcXBJwtnZdaJIQXzAS3yXEq6YxQjzcgOk0ANSE+BNPzBpIBpzlxArtm9x8BAhaoba2dsHD82V3xbyqo7SysZCT1Jc/9ZSq2sG6557P/hyNi2wvwBKW8iHu/PnPMz607LTY7CLCbRiJB+CZMG7cixs2qgZwuhvGjLlr+jTV5FurR+Iloqkqt1Gjr5t1772qqWf/EQ1du3V7efMm1dTbu2fPFX37qSY3ecHp88tKRn/gvvuWL7NLz5Yv0kyyqf0zGOzftZBnkOdRTUuYP51s8gnKM9ufsStt8FVDJkyc2LOX3bKhzfxkf7d2jfE8TX6FeZMBaYR4AI0mxN97V+fuXSs82ila9V8Oci2/JvRrbXLx0aPpjVqrXRm1cfJU41rfoj1a/m9slNbYLhvlGbTR0PqHq9K03fgQ6funyasw7pCWfogV7bH6m43mU7SKhrb+PvrTaqUU6kMY96xv008l26VOt3UV+qO0UqPd36jSD9c7oX0q9e98Nt7ecGe5ktb4iAbzrfpDss7YWk/V8itd6vQzpF+tTi9U1/AaGr8Yo87YUt9qT679J71F/wOS3mi+Ngqh1frjMm7K1RrX9YX233Qr5B/cqI1C/8ZUd6i/GCf8rb9D+lL3+meHF3yk1hRv12nxzgvx6Q+67rnnb7n5ZmOjPflwjy99IteS+W0M8fIytmx5pTnPYMkmxMtztmLHwD5VN/OTfe2N17t06dKcrzAhHmmEeMDtzBPivZ0rXt/8dS0HSVg3fjnoRZ2W6fVYpLXyX+NWuZsWj/SbZIvEQf1aq+vzl2qN7cZGo64vjI9ibFcJVQq5Nh6olTqttQjxmVtMtMfqp+o0Urt2T/3O5kyvbU+HeGn1i9bod9ZaLXnrr9F4lLFRb7UbjNCsb9dbvRZ60bit059Ko7YbD9FbY6NcNbqbfjE/s/b1Sz/KfKtRi/oQX9+ablLbVWd5H1Nh/LOoLZYbtaI+Q2u1eXvGRv1xqtYvNq1cpWvj1apaK7XvEaM1CvmOSNf127Vvn/qNproudeRo/7fe155E997uXarKt1aH+Nra2oXzm5inkWuQWx4lj7WZymIZ4oUx8Gz/WCM1PnDffS2aQyIf8Xdr1+Q6Pa2k1eVPLbPf97D8WsleRxvXhs8V4i3/4eT1j5840QjNO7Zvly+C5Wu2f/OhyU9WPoqEePnyNucdAEI80ur/WgBwq+qdcVV5PKHzOccTnMnb4ZgzjtV36nQluFq8JDnJZ3JRfUtIqnts6ROqaQn5oE0+Vu4jAbdFCV5I1LYZ1R581RCb/ZnCy5Xg5SuTTsw9e/WS12w5eUZ2hGzyt/HJNjnrpjkJHjAjxANuZz4RffiSY1UFOM7FJx6vKvm2L9VjW0eNvk5VLSQZ0T4m2rB/rORLI+AauxmvvfG6cTKmWffem2vCjEGb95J7+FmMum60qprNfHIom30AeZ3pu2Vcsofh059ghvFW890f+vWvVNWY7ORYLnaZNmFizuFz4/0QKeQrLF9V43XaDO0DBkI84HbmkfjIJZzmCY71z8c37KPG4ztVVWIkxtknYxttGdhu8rESZ1/avGnCTRPlFRpbZH/jd2vX2L/a5U8tU5WVrt26qqp4tLkuVnPW5dO0nLUin2+ur5X9UHqTn6zxFU7vxUnx0K9/bdSAJUI8oMTjDVnWVaqrq1Xl8QSZTgPnOq9TQ4g377uWmm6tjbY+n/UE9Oawf6wk18eWPpGO72nGyLFqrEhEtpltn/2EhXd/juRt85bIZX0uV1VjW17ZYjMY3+Qn+9Cvf5Vxn8FXDSmdGUcoQYR4QJNIJK4ZPOSinr1Gjxw5d05VLBpNJtVCFs5mnhnsP7ODz6sfKAk40XdM02lqampc8jOeFxMmNgzAZ5CUaTMVR0iOV1XpWb7sqVyHyfbsmfOTsvl81z3fyk9W8rrlexqDh1ylKiALIR7QGMNyqVQqFo3Nq6oaPXLUt3t96+orB982ZcrqlascPEif2JtQlccTOKvhsD/Akcwzaqrd+uZbK0jEVJWVwUPsbt2xw26meHHZnC7qstxD4DZvlVjOzGmOPjlG90eNvi49m9+4WE7ygTsR4gFN1Gqpiurq6qdXrb596tRZM2aoTY6TSDSE+PC/cFQrHO5M0wI18RKeUVNSunbrZj8VxH7Kx47tO1RVYnZs355r9kvPXr1sPmWbwwBqa2vtD2/NxeY5gVwI8YCm2vYot3Ckt6ocJ2ZamiZ0PiEeDneeaSTevAeLtrCPvK0LtQVgs3JOkweh2mTuvXv2qgpoZ4R4QBOLxlRlJRQKqcpxzNNp/EyngdP9c6eG9Zfsd93RIvYDyW08PVM7sZnnY//Og7C5w56S/GThSIR4oOnTvoR7R1TlODU1NariTE9wAfN0GvMeLNrIfujaZoGaIrIZMu/atYnJLV26+FSVZe9eQjwKhBAPNDE11u/3+3w5f1+XNfMBuwzDww3M02nMe7BoI/uh69raUlwIyOb9gQfuu+/c7v9kc7GZilOaeyxwJEI80MRpXxw8DJ8yLbHH0jRwiTM6mo5tZYGaPGly/kkJaqe0nSTEo1AI8YAnZnsC9lCoh6ocx3zmeUbi4RJnHtswbcy8H4u2aMt5poqC8XI4ACEebpdMJu3fVXfwSLxZwE+IhyucxSqTaGq8fNa992aszt78y2NLl6pnAdoZIR5uZz8MLxy8NI15HhHTaeASZ5qm03DSVtfyleH8HyADIR5uZz8pNhwJq8qJmBMPF+rcoeEPXyLBkt6FYLOWS7E0dSQuk21QBgjxcDvz2Y6yBZ07IV4kS3LJCKBdNVqghvM9FURpHvZq86qSSUI8ygAhHm5nPyk2EnHyhPjq6mpVeTzhf2k4CQ4AtIjN4uiSle1PBVUsNq+KEzahLBDi4WrxeDyVSqnGSrCHYyfEA+50ZseG1WnK7sDWkp3mYfPCipLgmzOU3rNXT1VleTX3MvBA6SDEw9WqmzrNUyAQUA0ARzCftNV+H74Elewa5DZnP+1zeR9VFVBz9nZsTssqD9+xfbtqgFJFiIer2R/V6uxh+Fi0YVme8CXMpQFKhe00D7sjcYs1k9s+8vbs2UtVBdScED/kqiGqsmJzTlagRBDi4WqBQMBm/RkHn+YJQMmyOeBy7549ueKpbF++7CnV5JV8UFXlYDP5RD6XwbZZuS1slom0eWcgTXaWevbKuYOxcP785uwJGCTx/+T661UDFAohHq5249gxy1aseG/3rmUrlt85bdrQ4cOCwaC6zeOJuOM0T4DbnGFaKt7+7biisD/76brnnldVY/ahs8kgbs9+bsmOHTlvHT9xoqraQbfcb1nIC25OBB913XWqyiIPv/PnP1eNrQUPz5cET45H4RHiAU04EpFA/8Ds2c++sO7P29+UTH9rZaVsVDcDcBDzsa3msyWUCPtJ5AuswvoD990nUVI17cB+bkmudwC6dOkyanTOlCzsZwc1ueNhP1En+1XJ101ytnmHRF6ezeQl2V+65eab7XeN5A7yxTda+SrZ5H77nYo27mXBnQjxQCafzyfxfdLkStUDQAH17NXLfkbNrTffnE6iEjR/eM21zUnw9qPp9pY/lXOijnzoXPH0tjvusPlEhP1Lslm20nCZ7d6OecdGXqHU3+/bT3L2LTf/h/kF337HHaqyIl/eiy+8SB6b8VJli+T1K/r2M78xou205B7at98RavKTBbIR4gGXSuxtOM2N38/pWoESYj+ALXFQgvu53f9JLreYAv1jS5cahaUF81s/VC97DpZjzPJK0uPQGeRTsP8sxLrnracGGZ5/7nn70esmR/rltRlfJQniUhvPJp+L+TUPvmrIhJuamPMj909/wY2LbMkY6e/ardtjS5+wmWRv/8nKs9l/skA2QjzgUgnTuSoDZxHigRIy6rrr7MewM0iC/N3aNfbzcJo/Zm9JUuZPrr/ePPAsT5VrFrgk41n33qsaK5L+M2a2ZJO0/ZPr/838EbNNmDixRV8oIV+l2xqPvkvbZI63J8/5eO4E35xPVhJ8k58skIEQDwBAgXTp4lOVLQnl9iHYTBKzJHhJkE3Oq5Yc+UAbZs9LGL3l5pvNo9HqhsYkEz/061+rxooRauVa9bnJC5aPaPOC5Qs1z/ZjZZCv6mNLl2bnfnnNzf+CZ5DHynPmmlvf0k+2mUfTAoIQDwBAgTR/2FiiuU00NEhwl7gsF+Npiz4fY9To617evKmNo9ot1efyPk1+oYTx2mym38hNr73xeotevMT3lj4EyKOKuro6VQJwk7lzquZVVRn1rTd1nnRTZ8/ROk/dUY/8TpDro3oh9KLOuMlTp7fyX+NWuZvUxk2ypULfXqHXslEeLNdGa2w3Nhp1fWF8FGO7R9+uPZtcGw/USp3W1qkHpqWfyor2WH2aUN0xWq3dU7+z0Wrkoxuttr1Oa/WL1uh31lptpEN/jcajjI16q90gv0K1R9Y/s3GT0IvGbZ3+VBq13XiI3hob5arR3fSL+Zm1r1/6UeZbjVoYr6fRx62v1XbVWd7HVBj/LGqL5Uat0P+AmDea63Rh/JlRtX6xaeUqXRuvVtVaqX2PGK1RyHdEuq7frn371G801dpz1X2l2pv2fvzng4e0J/R4lq1Ynt91qOyHXd/d9TdVNduCh+cnk9pxmarX9wTGT5woCd5+/kyLyPPnGlmXfDxh4kTZQ9i7d0/2ki/yMgYP0VaCL3qWXffc83saz3cXsi/Us2cvCegtmnVjPNWr8g+Z9U9pPGG3bt2kUJuAIiHEAy5FiK/Pr4T4+vuYCuOfRW2x3KgV+h8Q80ZznS6MPzOq1i82rVyla+PVqlorte8RozWKkgzxP7zm2lyznyUNv7x5k2pKjH2IL9mXDbhZ/V8LAC6WTEm0AZAHNnNaevbqqSoAaDNCPOBS5vPRVr/1paoAtE0yd4jv0+dyVQFAmxHiAQDIjx25z/bfpalFzQGgRQjxAAB3OXD0qKryzeaQ1ttszwwKAC1FiAcAuMtfDjfMH8vjUa07tm9fmOOsqIOvGsIwPID8IsQDANBWW7Rz+vyb5VwaYzV31QBAnhDiAZfyBwKq8njiHNgKtJZxos2fXH+9ZYLvc3mf361do5oSlkzmPB7X5lBdAEVEiIfrJHSqcbGAKcSnDrDEJNwile8J8Qvmz1/33POqacw4yb9qSpvNbH7ZObHcPwFQXIR4uM4ji5f063N538v6TBg3bu6cqlg0mkwm1W0AnO4vh8wT4sOqaoNR141Wlcngq4bYn+S/pOzYvj3XCaoMueb6AygiQjxcpzq+U65rampe3LBxXlXV6JGjvt3rW+lM76pBer/fryqPJ7HvK1UBaIk+l/fp2q2bajyeCTdNlPj+0K9/bd5YyhY8PP+H11yrmhzkPnf+/Of2QR9AgRHi4TqxaExVJulMX+OmEB/o2jCjpqaGEA9XeP/Lhm91r8+nqrYZdd11EuVvu+OOd3f9Ta7LJb6Ln1x//QP33acaW8uXPSVZX65VD6DYCPFwl3g8rqocgqGQqlwmmWqvlbOBkvL+l0dU5fGEQj1U1TYTbpr42NKlcq16AGh/hHi4S/VOuxDv9/t9eRqZKwvhSG9Vye7N2w3JBnCw1FEO424g+x7v7vpb8y+sdg+UDkI83MV+JD7Yw6XD8IB7vGM6sDXSO29negKAAiPEw11iW7eqykrENDLtBiHT3KHYHw+rCnC0A/leYhIAioIQD3eprq5WlZWQy0bifV0a5g4xJx4u0XiJSUbiAZQrQjxcJBaNqioHt/1FN3++1cyJhwuYl6YBgLJGiIeLxG2Pag0Gg6pyE6/XqyqWiocLmJemycuZngCgWAjxcJG4fpqnXNx5VKt5BlENIR5OZz6q1R9oOE8CAJQdQjxcxH59yXytGF1ezDkmuo1jW+Fw5uk0gUBXVQFAGSLEw0U4qjWbedclUcOxrXA41pcE4BiEeLgFR7VaMu+6VL/dkG8AR/rz54dUxXQaAGWOEA+34KhWS0HTUvHV77BADZzsnYMNu6lerzdAiAdQzgjxcAuOarXk8/n8fr9qPJ7YNgbj4VjmFeLdOX0OgJMQ4uEWHNWai3kHJs5q8XAu80h82GWnZwbgPIR4uIVEVZs5M24eljPvwBDi4WDmo1pDpolkAFCOKurq6lQJuEMsGo3vjMfjO6t3xtPr1by3e5dRuJB8QUaPHGXU/jM7bH7ua566o56jRz3GLwe9qDtap2301Omt/Ne4Ve4mtXGTbKnQt1fotWyUB8u10RrbjY1GXV8YH8XY7tG3a88m18YDtVKntXXqgWnpp7KiPbaDXhyj1do99TsbrUY+utFq2+u0Vr9ojX5nrdVGOvTXaDzK2Ki32g3yK1R7ZP0zGzcJvWjc1ulPpVHbjYforbFRrhrdTb+Yn1n7+qUfZb7VqIXxehp93PpabVed5X1MhfHPorZYbtQK/Q+IeaO5ThfGnxlV6xebVq7StfFqVa2V2veI0RqFfEek6/rt2rdP/UZTrT1XeGeN9iS6TVteYU48gLJGiIfbSYRN7E0MGzFc9a50ztndVSXh5tmvBc6sIMTrt8qFEJ9jo1bof0DMG811ujD+zKhav9i0cpWujVeraq3UvkeM1ihaEuL/dODQTbs+1p5Edlb9/s2vbjFqAChT9X8tALcKRyIuT/DCfP55jm2FI732WcPikmFWiAdQ/gjxADxB07T46GuEeDjQnz5vOCFxhKNaAZQ/QjwAyTQNA5OMxMOR/sRIPABnIcQD8AwYNFBVHk/N+0cT+46qBnCETcmDqtInxHNIKwAHIMQjP96acpeqUJ7M0+I3/r5h4gHgAEyIB+A8hHjkwcfrX/pg1ZqDiX2qRxkaMHCQqrRp8awWD0fZlPxCVR7PQNO3OgCUL0I88kASvFxLlDdalCPz8OSLjMTDQd4/fOSDL79SDSPxAJyCEI+2OpjY9/GGl6VILF5qbEE5CoVCfr9fNdqMGg5vhUOYJ8SHI2Gfz6caAChnhHi01QcrnzGKgzXv749uM2qUI/MI5YZNhHg4xLOffqaqxtPGAKCsEeLRVukQL8w1yo55rjAj8XCG1FdH/3Kw4ZvZvBATAJQ1Qjza5OP1Lx2seV81+uT4I8mUalBuJN94vV6jTh2o28hgPMrfptqGQ1qDwSCLSwJwDEI82iSx5ElV1WNmfFkzj1Nu+D1r1KDsLf/4gKo8nmEjRqgKAMpfRV1dnSqBFjqY2BftM1g19Tr5z4y8+oJqUG42rt8wcfx4oz7xhIrf/PJEj/yKkF8T+rXHU+c5qp8HKt1qV0Z91FNXUX+tb9F+tcj/jY3SGttlozyD1Pqt2sNVadpufIj0/dPkVRh3SEs/xIr2WH2cou6Y+ufR79zQ1t9Hf1qtlEJ9COOe9W36qWS71Om2rkJ/lFZqtPsbVfrheie0T6V+0KTx9oY7y5W0xkc0mG/VH1Kn2vpLmqrlV7rU6WdIv1qdXqiu4TU0fjFGnbGlvtWeXPtPeov+ByS90XxtFEKr9cdl3JSrNa7rC+2/6VbIP7hRG4X+januUH+p0799jDv84/BXd+7+RO81m7a8wkg8AMcgxKP13ppyl7G4ZIYLHpx5xogfqAbl5qKevVIp5kTBaYLB4LMvrFMNAJQ/ptOglY4kU7kWhrdM9kWRSCSSyaRq0DzGjBqf1zQeDJQ/5tIAcBhCPFrpg5XPHEk1TDY12x/dViJrTa5euerbvb7V97I+E8aNmzunKhaNkumbdOPYsXKdTPEeHRyFdWkAOAzTadBK0cuuNK9Lk+GM4ddeMPse1RTP6JEjY9GYaup5vd5Qj1A40lv+qIdCIbUVJrLbU1NTY9RnB4454zRj5rfxu0K/Vr82suqG/9a3Bu2xFZkbRaMNGQ9R/zUxnsTM4k6NGTPIMx5lmgWu1N+hYXvuLULbqNpGz5T5gTJuzniGtFzbDfqt9dsbbre4p8j+1FpyT2H7cFVm3Mf2IZqMvzLZ9xc5nlP913xrus5V1Le7D375jy+NCfKe/gMHLFi0yKgBwBkI8WiND1Y+89bUaarJIbJlXafAWaopEvvp3fMXLmRwztIji5fMmjnTqP1nHLP5/51Yd9Q4YFA/sFV+Z0it/eo4qh8+aNykH9KqbZfQaRzJKo+Wa6M1thsbjbq+MH4FGdtVYNWDl3qgVuq01uLA1swtJtpjO+iFfiSrdk/9zubjXLXt6QNbpdUvWqPfWWu1tyv112g8ytiot9oNxoGk+na91WuhF43bOv2pNGq78RC9NTbKVaO76RfzM2tfv/SjzLcatag/sLW+Nd2ktqvO8j6mwvhnUVssN2pF/XGlWm3enrFRf5yq9YtNK1fp2ni1qtZK7XvEaI1CviPSdf127dunzpP68ugPtn9w4Cv9e4kfdgBOxHQatEZicebKktl2zXlYVUWSSCTsD9AM9mAY3tqwEcNV5fHUfHB042bWmkSZ2bT/i3SC93q9JHgAzkOIR4vtj247UP22anL7eP1LxT3xU00ioSor8nedxeZy8fl8Q4cPU43Hs+o5QjzKzKJ9DUe/GId5AIDDEOLRYs0cYj+SOlDcEz9Ft0ZVZSXEMLyt4aalPF7cfCTxfp1qgJL3WurQ+4e/Uk3jd5YAwDEI8WiZFq08IyG+iIPx8fhOVVkJR3qrClbCkYjf71eNxzNv8WFVASVvUU3DMHz/gQN4zw2AIxHi0TItmule3MH46p1xVVnh73qTJk2erCqPZ+N/f5U8wGA8ysD7h478KXVINR7PGObSAHAoQjxa4GBiX0sXgC/iYHx6kURLHNXapGEjhnu9XqNOHah79LfMjEcZWGgahg8Gg+FIRDUA4CyEeLRAKxacKdZgfCxqNyFesEJ8c5iPCHzktwzGo9S9f+jIcx9/rhoOaQXgaIR4NNfBxL4PVq1RTUsUZTA+bjuXJhwJqwq2bhw7xjwYv/r5hoMFgRK0MNEwDO/3+zmkFYCDEeLRXO/OuF9VLVSUwXj7o1qDoR6qgi2fz2deYPvR3xLiUbreP3Tk2b83DMObD+oAAOchxKNZ9ke3fbzhZdW0XOEH4zmqNV/MSajmg7p5j5DjUaIW7m0Yhvd6vQzDA3A2QjyapY2nXy38YHx1dbWqrLBIfPPJDo/5xE/6zHhVA6VDG4b/iNnwAFyEEI+mtWht+FwKORgfj9sNwwsWrGgR82B86jPPoysZjEfJWbin0TD8jWPHqAYAHIoQj6a1cRjeUMjBePu5NMFgUFVonkAgcMOYhkj0yEoG41Fa3j/YaBhedjt9Pp9qAMChCPFowsfrX2r7MLxhV9X8g4l9qmlP9iPx/q5MiG+xSZMrG5ap+cwz79GjRg2Ugrv/8qmq9EVpGIYH4AaEeDSh1YvSWMrLoH5z2Ay3h1iapuV8Pp95kvGjq44mPlA1UFyv1R76U23DKVpZlAaAS1TU1XH2FuSUWLz03ZkPqCZPLlqx+OTIJappZ7FoNL4znkgkquM7Y9GYsXHZiuXMiW+FZDLZ97I+qZQ6sOHSCyuWVXk8Rz0e+R1SJ/856qmr0Aq51mrZKPeSa6M1thsbjbq+MH4FGds9+nbt2eTaeKBW6rS2Tj0wLf1UVrTHdtCLY7Rau6d+Z6PVyEc3Wm17ndbqF63R76y12kiH/hqNRxkb9Va7QX6Fao+sf2bjJqEXjds6/ak0arvxEL01NspVo7vpF/Mza1+/9KPMtxq1MF5Po49bX6vtqrO8j6kw/lnUFsuNWqH/ATFvNNfpwvgzo2r9YtPKVbo2Xq2qtVL7HjFao5DviDrPtdH33z+kjtOQvfdnX1hn1ADgbIR45HQkmYpeduWRVJ6nP0uClxyvmsKKx+M1exPh3hHmy7bO6pWrbp86VTUez5NzKsLf0tMVIV49s3GT0IvGLSG+4WLTylW6Nl6tqrVS+x4x2voQv2zvgV++t1+7SccuOgD3qP9rAWTZNefhvCd4oS05v/4l1RRWKBQaMGggCb7Vho0Ybp6ndPv/1XMVUCSpI0cX7m5YlKb/wAEkeADuQYiHtQPxtxNLnlRNvr074/4Cn/sJ+XLX3dNV5fHUfOiZ9xg5HkUz+939B47o79vo7pre8M0JAI5HiIe1/B7PmuFgzfsFPvcT8iUciZjP/TTvcQ9HuKIoXvv00LMfNCwreWtlJWdiBuAqhHhYyOOykrkUbLlJ5N1d06enl5sUt7fj7h5gLXXk6N3Vn6hGX1Zy0uRK1QCAOxDikelIMvXWlLtU054K81GQdz6fz7yK3x/e9DzytH54JVAoC/+afP/gEdV4PA/8craqAMA1CPHI1E7Hs2Yr4hGuaKMbx44JR8Kq0SbVVCQ+JMejQF779NBTexsOquF4VgDuRIhHI+16PGu2t6bcxRGuZepO00GEqc88t9/PLxMUgjaRZkfDRBqv1/vAbIbhAbgRf3fRyFs/K+gUlyOpAwU7hyvyKxQK3VrZMAv5D29WMKkGBbDw3cYTaWbPZtFYAO5EiEcDydMHqt9WTaEkljzZ3gfRop1MmlxpXjb+P+cfU/0eOR7t6PcfffHUnkYTaQYMGqgaAHAZztgK5UD87W2Df6SawurkP/OSF1Z29DUseIJyEY/HR/9oZCqlctWJnTzBb9Z10E6T2vgXi/Z7RvJ91m+bRhsyHqL+a2I8iZnFnRrT76+fDNUkfbLStPo7NGzPvUVoG1Xb6JkyP1DGzRnPkJZru0G/tX57w+0W9xTZn1pL7ilsH67KjPvYPkST8Vcm+/4ix3Oq/+r/+arOs2P/Ibk2eL3eza9uYRgegGsR4qFsu/JHhR+GTwuM+fG5029XDcrKI4uXzJo5UzVAocxfuJBheABuxnQaaFoxkaajt/MZw6+Vi+rrnTrwCrmoptmYVFO+jJVqTjwxaxAaaAedj9G+024YM4YED8DlGImHttTj6yPHqqYZjJh+xogfSC3pf1fVfGO7oXvlxO6TbzqSTH2w8pkPVq5p/r6B7BVEXn2BSTXlKJlM9glHPv+84fSZQPsJBoPLfruCiTQAXI4Q73aStrddOeJgzfuqz61z8PwzRlwr2d2cs3OFeNV4PAcT+/Q0/0xzPoTsG/RcVKUalJWX/+u/fjqmYVfw7DPrfjHhyEmd5NdLhcdzVJsVrc0Xl2u58ai+Ueit8Ruo0XYpZEv6/mny68q4Q1r6IVa0x+pvNtYdU/88+p0b2vr76E+rlVKoD2Hcs75NP5Vslzrd1lXoj9JKjXZ/o0o/XO+E9qnUv/PZeHvDneVKWuMjGsy36g+pU239JU3V8itd6vQzpF+tTi9U1/AaGr8Yo87YUt+qPxcNW/Q/IOmN5mujEFqtPy7jplytcV1fyH8/PvjVrDc/+aJ+LvxJJ520fNXKUChktADgWoR4t9sxrvLjDS+rxkon/5kS3OXSKXCW2mTSZIhP01agX7z04/Uv2Z9J6txptwXGXq8alJW5c6rmVTXsg/WPHJ0/7bAeKCXEy0WK+hCvUqZeGL+CjO0qoaZDvNxBK3VaaxHiM7eYaI/VjrFVqV27p35nc6bXtqdDvLT6RWv0O2utlrz112g8ytiot9oNRmjWt+utXgu9aNzW6U+lUduNh+itsVGuGt1Nv5ifWfv6pR9lvtWoRX2Ir29NN6ntqrO8j6kw/lnUFsuNWtE4xGfU6SId4tMXm1au0nWdJ/nl0QlbP3oneVi/k+b+Bx8cNmK4agDAxTrcfffdqoT7SKrOdWqnjt7Op1975QWz7/nm/6o8ufe/5Jrlsj+6LWMu+8mRS+T+qjE57rRTTx30/W7/PrZz6Pyjhw5//t4udUNjn2x6Ve4md1Z9S5xzdveN69dv2rTpr+/9tULPNrzhXkiR3pF4fKd88Y32rwnt3yDcK53I9H8STbo2bxTm7UJqozAYrfn+IntLBiMQG/eR63RhyN6eXRutMG83ivS1yHub1pxb05p/51z3KS33bv9k698PqkafCj/x3y3GCADAhRiJd69ca0pq892HXytJWvW2mj8Sn+FIMvXx+pcSi5/MnjTfuhUnY9Ho6JGjVFPP6/WGeoSC8v9QiNG7Akgmk1dfObimpkb1Hs99k48M6/8lI/FSMBLfcLFp5aq+XvB27cJ3avWbNcFg8NkX1qkGAFyv/q8FXEYy9Os/GqMaXefg+Rc8OPPy7a/0XFTVzATfFpLRzxjxg0te+G1ky7pzp90mwV3d4PEcrHl/x7iGU4E2U3xnXFUmqVQqFo09umTJ6lUr1Sa0J5/PN/83i2TfSfUez6yFHav/yu8ZtNjavZ+ZE7x8Uy377QrVAAAI8a71+o/GGnPTJT13r5woSVrydMZBq4XRKXBWYOz1kVdfuGTdbwNjftzR21k27o9ue2vKXcYdmimRSKjKij8QUBXaWSgUemD2bNXIftRnntH/6zhyPFrk7drDD+78VDX1CZ7ZcQBgxl9WN5J8fDBRI4lZcrOk5+6Tb7I8aLXAOofOP3f67Zfv2NJz4Zwzhl/7wao1H6x8Rt3WDNXxnaqyEgr1UBXa34BBA++cNk01Wo6vuH3O8cnP9IkfQFMkwY9/9aMDX+qzqnR3TZ/OcjQAkIEQ7zoHE/tOHXiFZGVJzJKb1dZScuqg718w+57Lt7+i+uaJRWOqshLqQQIoqBvHjhk6fJhqZBfrb8f8+H+T49G01JdHp/zhY3OCv7WykgNaACAbId51OgXOKsCU97YzJs2rpin2c2lEkGG8gntg9uxwJKwaleM7keNhQxL8uFc+ev/zI6r3eGRXcNLkFh8hAwBuQIiHE1RbHdWa5vf7mU1bFPMXLQoGg6rRc/ysRcepBmjMSPDv1DYsCd9/4ADz8RUAADNCPJwgHrcL8YGuHNVaHLLvtOy3K8w5/umXOt5e1Uk1QD0twf93owQv3zYkeACwQYiHE8Rtj2oNR3qrCgUnOf7+X842Lzr59EvH3j6XHI8GWoLfnJngWY4GAOwR4uEENXvt5sSzrkVxyddfAlnjHN+RHA+DluA3keABoMUI8XCC6upqVVnxM52m2HLk+BNUA7ciwQNAqxHiUfZi0aiqcmAkvhRY5fhjR//iRNarcS0twf+eBA8ArUSIR9lL2M6lkVigKhRbdo7/w84OP76THO9G+z47QoIHgLYgxKPs2S9NE+Q0T6UkO8dX7yLHu87b+w+P2vDBO/tJ8ADQeoR4lL1q26VpAoGuqkJpsMzx/SZ0rv5bB6OFs2376OC4lz4yn5OVBA8ArUCIR9mL257pKdI7oiqUDMnxm1/dYp7plPq8YvRdnTfGjlU9HGrN3z4b/zIJHgDygBCPsmf/598fYGmaUiT/ahLdMnL8Tfed+Mizx6sejjM9+o+7Y/9QjW7o8GEkeABoHUI8yt7mV7f8efuby1Ysv3PatBvGjAlHwuoGj8fr9QYI8aXKyPES41Sv+88lnW5/6CTVwClSh4+Oe/HDtX/7TPU6+ad/YPZsEjwAtE5FXV2dKoGW2zXn4V1V81Wj6145sfvkm1RTPIlEokb+vzcxbMRwtQml6rYpU55etVo1umD3rx6+/bPA6Uc8Db+fKjyeo3V1Gce/HvVkbjHRHqvPs687Rqu1e+p3NlpNhb5dWm17ndbqF63R76y12kiH/mvSeJSxUW+1G+RXqPbI+mc2bhJ60bit059Ko7YbD9FbY6NcNbqbfjE/s9za8CjzrUYtjNfT6OPW12q76izvYyrUXwZji+VGrdD/gJg3muv64u1PDk3e9PH7nx3RNymyy33j2DGqAQC0HCPxcKZAIBCOREjwZeGB2bPvf/BB1eiqd3W4Zqo3tpMp8mVvzXsHfrrxI3OC93q98xcuJMEDQBsR4gEUn+xuLVux3LxkTerzih9P9877LWd1LVepw0envfqP6Vv/YT6M1e/3L/vtigGDBqoeANBahHgAJSEciTz7wjrzoa5i3soTRk/3Jf7Ob6oy8/Ynh3+6/sO17x1QvS4cCcs/cYgzKANAPvCnEUCpCAQC2Ye6/iHe8ZqpXTb+gak1ZePJePKnGz5859OGczmJWysrl61gIRoAyBtCPIASIiHPmCKfMbXmpgc6T7zfy4ldS9y+A0d++sKHD/7x0wOHG6bQGJPgJ02uVD0AIB8I8QBKjjZFvvEq8uLFPx537e1dONq1ZD25MzlyzfuvfXBQ9TpjCg2T4AEg7wjxAEpRKBSSHH/DmEZrmNT8/ZjrZ3hveqAzQ/IlRRuAf/7DB//QaABeGFNoOFcDALQHQjyAEuXz+e6aPm3+woXmqTXixT8e972bT37695zbtSTM/9P+kf8vcwDe7/evXfc8U2gAoP0Q4gGUtAGDBm5+dUv/gQNUr0t9XnHH/3fSj+/uUr2ro9qEgtv2/sGRT7+/4M+1GQPwN4wZwyo0ANDeCPEASp3P51uwaFH2kPwf4sdee0eXWY+dxOyaAtuXOnLX7z/+6bMfvvNJoyVotGXgVyy/a/o0VqEBgPZGiAdQHowh+YwFKMVjz3f63n987dHnO6ke7Sl16Oj8bft/tHrf2ncarQEvbq2sfPaFdeFIRPUAgPZEiAdQNowFKJetWO73+9UmXerziv987CSJ8kyUb1dr3j4w+MnE/Nf2Z8yfCUfCxgx4BuABoGAI8QDKTDgS2fzqllsrKzNm19T8/Zg7Hu784xm+WJxlKPPsmbcOXLk0Me3ljzPiu/wT3P/gg8tWrGAGPAAUGCEeQFmaNLnScnbNH+LHXj/DR5TPFy2+P5GY9tLH76eOqE31ZD9K/gmGjRiuegBAARHiAZQrY3bN2nXPhyNhtameFuVn+n48s/PTm45Tm9BCz1QfuPKxxLT/sojvsu+0acsrzJ8BgCLqcPfdd6sSaLn90W1yUY3u5MglJ/f+F9W0m3g8Puk//iMajVbHqyv0hUkIE6512mmnDRsxItI7kkjsrUnUqK26mr8f8+K2Y5/edKzvpDr/aXXHq6H59FI2RiHX5iKjNlph3m4U6WuR9zatObemNf/Oue6jHbq6ZFvtpGc/Wv+XzzImzwjZX5IdpxvHjuUnDgCKq6Kurk6VQMvtmvPwrqr5qtF1r5zYffJNqmk3q1euun3qVNXUk3gRDPUIBALh3hFm6LqTfGPMnTOnpqZRlDd4T6wb2vfIjVd+6T/V41G/9iq0ou4YT50WZOu0Vr9ojVwbrfZ2pf5rUu4m18ZGvdVukF+h2iNVFFY3Cb1o3NbpT6VR242H6K2xUa4a3U2/mJ9Zbm14lPlWoxbG62n0cetrtV11Vvd566PDS/+UXFOdueyMQX6+Jk2ezOIzAFAimE6DshSPx1VlEovGHl2yZNbMmY8sXqw2wWWGjRi++dUt9z/4YDAYVJvqpT6veOyFY79XeeJNc47f+FoHtRX60PszOw+MWfnBj57cZ5ngJb4vW7F82YoVJHgAKB2EeJSl6vhOVVkJBLqqCq4kUf7ZF9ZJ7syeKy9efK3Dv1cd/50JJ8xaemz1Hlf/Dnzro8N3vvDxoN8k7trw8bbEQbXVpP/AAcR3AChNTKdBmxRrOs1FPXulUinVZNHTG5kDmng8/sjixU+vWq36LBd0qxt2+dEB3zl6ljbNpkK7CO1ar504nUay+zPbP3v53S/2JTOPWDV4vd4BgwZOmjw5EAioTQCAEkOIR5sUJcQnk8lv9/qWaqxs2vIK4QNmiURi9cpVq1eutJwub7iga93Qy+sGfLtOnzQv4Vgir1ycE+Lf+vBLye4v/SVndhd+v//GsWOHjRjOcasAUOII8WiTooT4WDQ6euQo1WTxer2v79iuGqCxjes3rFq18sUNG1Vvxf91T/9v14Uv8PS/SEJweYf41BdH/7jn0EvvfCHXNtldDB0+bPiIEbyFBQDlghCPNilKiH9ksXb0qmqy6AfhrVANYCWRSEiaf2TxYpuBecOl53nC51fI9aXnd1ChWUXkkg7xf9x9SLvsObRtzyHjhlyCweCNY8cOGDSQoXcAKC+EeLRJUUL8PTNmPrpkiWqy3DBmzF3Tp6kGsBWPx1evXLVx/fom07y49DxJ8xXBwDHBQIX/6/r6NiUT4ms+/eqtD7/84+7Db33wZZPBXUh2HzZihGR3Jp4BQJkixKNNihLiR48cGYvGVJPlzmnTbhw7RjVA8xhpPrZ1a3V1tdpky3uCR9L8pecd4z9FLhWX/rPK9HqwFkbmbtTmMcSnvjj61vtHavZ/JZFdvxw5cCjzrEy59O3X7557/5PsDgDljhCPNilKiGdpGrQfY6ZNNLo1tjVq822WzXtCxQV+LdAHvl7hPeGYoF87h9QFZx3jO0FidytDfM0nX+3br6XzP/z1S7l+6/0vkwfrJLUfONj639v9Bw5YsGiRagAAZYsQjzYpfIhvcmmaP29/k9m9yItYVMJ8NCaBPvc7P83k7SQR33SGqUa/d/UQb9C3v/X+kVQbYrq9YDD47AvrVAMAKFuEeLRJ4UM8S9OgKOLxeGxrNB7fWb0z3swpNwUm6TzYIxSJ9D7+hE6Tbv4PtdXKe7t3qQoAULYI8WiTwod4lqZBKZCdyfjOeCKRqJb/7Iy3aOJNXpx2fKdAIPDda66W60DXQMYUsnPO7q4qK0w5AwAHIMSjTQof4lmaBqVJYr1cR7dq17HoVrlO1ibbPmYfDAZ9XXxen++s5Of7o9su8HQ8wVPRzaPNzLH5Wbv6ysE2H5qDvwHAAQjxaJPCh3iWpkE5MiJ+M0lkD4VCqqnXop+126ZMeXrVatVkYV8XABygfhkEoEzEd8ZVZSXUIzP6AKUgHIk0/5Kd4FsqFOqhKivV8Z2qAgCULUI8ykkikbCffBxsc/oBHMB+b7bti+0AAIqOEI9yEggE/rz9zWUrlt85bdoNY8aEI2Gv16tu05emYXFJQISbOm41Hrd7RwsAUPoI8SgzEtMloNw4VpvUu2zFitd3bE/H+rumT1d3AlzP7/erykq17bQ0AEDpI8Sj7KVj/bARw9UmwPWCtjNqEomEqgAA5YkQDwAOZH9sq7EIJgCgfBHiAcCBIr3tpsXbr/IEACh9hHgAcCB/IKAqK6lUihk1AFDWCPEA4ECBQMC8dlO2GkI8AJQzQjwAOFOu1eIl3IcjYdUAAMoTIR4AnCkc6W0Ufr+//8ABt1ZWLluxfNOWV17fsX3ZihVNriUPAChlhHgAcKZhI4ZLan9v967Nr25ZsGjRpMmVEtwDtnPlAQDlghAPAM4keZ3hdgBwKkI8AAAAUGYI8QAAAECZIcQDAAAAZYYQDwAAAJQZQjwAAABQZgjxAAAAQJkhxKMMJJPJe2bMfGTxklg0KrXaCgAA4FaEeJSB6nj80SVLZs2cOXrkqG/3+tZFPXuNHjnytilT5s6pklifSCTU/QAAANyBEI8yEN8ZV5UulUrForGnV62eV1Ulsf72KVPUDQAAAO5AiEcZsB9rD4Z6qAoAAMAdCPEoA9Xxnaqy4vP5VAUAAOAOhHiUgcReu5H4SO+IqgAAANyBEI8yUFNToyor/kBAVQAAAO5AiEepi0WjqsohQIgHAAAuQ4hHqbOfSxOOhFUFoHlkx/iRxUvumTFz9MiR55zdXa7VDQCA8kGIR6mzX5qGuTRAk+SHaO6cqgnjxvW9rI+e2kfNmjnz0SVLYtGY3GpcAwDKCyEepS4W3aoqK4FAV1UByCEQCMyrqnpxw8Zch5fE441OxQAAKH2EeJQ6lqYB2s7v96vKSo3tTxkAoAQR4lHqWJoGaLtgj5CqrDASDwBlhxCPksbSNEBehGxPbGw/aQ0AUIII8ShpydqkqqwEg0FVAbAVCtmNxNtPWgMAlCBCPEqa/bv8/q4MwwPNYj+dpqamJpm022EGAJQaQjxKWjy+U1VW7GcIAEhrcuJZNdPiAaCsEOJR0uwXzbCfIQDAzP7MaPGdhHgAKCeEeJS0u+6efmtl5dDhwyzzB9NpgOYL2r5zZf+uFwCg1BDiUdLCkcikyZUPzJ69bMWK93bv2rTllWUrlt85bdoNY8ZIrGckHmg++xk1NbanRgYAlBpCPMqJpBCJ9TeOHXPX9GkS69VWAM0Qsj22NRaNqQoAUA4I8QDgCrIDrKocOOUTAJQRQjwAuIXf71eVFfvjyAEAJYUQDwBuYb9aPCPxAFBGCPEA4Bb2p1aIRbeqCgBQ8gjxAOAW9gs62a9BCQAoKYR4AHAL83SaYDDYf+CAWysrl61YvmnLK+/t3nXX9GnqNgBAySPEA4BbBAKB+x98UFK7RPZnX1i3YNGiSZMrw5GI/RLyAIASRIgHABcZNmJ4k2tNAgBKHyEeAAAAKDOEeAAAAKDMEOIBAACAMkOIBwAAAMoMIR4AAAAoM4R4AAAAoMwQ4lGK4vF4LBpVDQAAABojxKMU3f6zKaNHjjrn7O4X9ew1euTIe2bMnDunSmJ9IpFQ9wAAAHAxQjxKUXV1tVGkUqlYNPbokiXzqqok1vfrc7kke6I8AABwOUI8Sk6TGZ1TxAMAAJcjxKPk1NiGeL/fryoAAAC3IsSj5ES32h3SGujKMDwAAHA7QjxKTjKZVJWVcKS3qgAAANyKEI+SUx3fqSorPp9PVQAAAG5FiEfJie+Mq8pKqEdIVQDyJxaNPrJ4yT0zZo4eOfKinr3s3xADABQdIR6lRaJDKpVSjZVgiBAP5IGk9rlzqiSy972szzlndx89ctSsmTMfXbIkFo3Jz2B13G5fGgBQdIR4lBb76OD1eplOA+TF3Dlz5lVVSWSvqalRm0zs3xADABQdIR6lJbHXbn1J5tIA+RIM9VCVFU6pBgAljhCP0mIfHfyc5gnIE/uTptkfXw4AKDpCPEpLLLpVVVYCga6qAtA29u9rxaIxVQEAShIhHqUlWWu3Jkakd0RVANqmyWPEmVEDAKWMEI/SUl1drSorXo5qBfLE5/N5vV7VWKkhxANACSPEo4TEm1rVLsT6kkD+2M+oiW6NqgoAUHoI8SghKdvzywSDQVUByIdwpLeqrCQSe1UFACg9hHiUlv4DB+QK674uzKUB8qmJBWpYKh4AShghHiUkHIksWLTo2RfWvbd716YtryxbsfzWysobxowJR8J+v99+1BBASwW62oZ42wNUAADFRYhHiQoEApLpJ02uvGv6tGUrVmx+dYvU6jYA+SA/YqrKocnDVAAAxUKIBwD3sj/UpMb2DMoAgCIixAOAe/ltZ9QwEg8AJYsQDwDuFQr1UJWVeHynqgAAJYYQDwDuZX/uBRaoAYCSRYgHAPeyn05TU1OjKgBAiSHEA4B7ZYzEB4PB/gMH3FpZOX/hwk1bXnlv9y51AwCgxBDiAcDV7pw2TSL72nXPS2R/9oV1CxYtmjS5csCggfanggIAFBchHgBc7caxYySy20+OBwCUGkI8AAAAUGYI8QAAAECZIcQDAAAAZYYQDwAAAJQZQjwAAABQZgjxAAAAQJkhxAMAAABlhhCP4ovH4+ec3b3vZX1Gjxw5d07VI4uXxKLRRCKhbgYAAEBjhHgUX81eLa/X1NTEorF5VVWzZs4cPXJUvz6XS7KXWH/PjJnG3QAAAGAgxKP44vG4qrJIrE8k9qoGAAAAOkI8is8+podCPVQFAAAAHSEexVdjO/09EAioCgAAADpCPIovvjPndBoR6EqIBwAAaIQQjyJLJpOpVEo1VoKhkKoAAACgI8SjyKpzH9UqvF6vz+dTDYDCikWjq1eumjunavTIkaz6CgAlhRCPIkvo60vmEurBMDxQIPF4PB3Z+17WR1/jddTtU6fOq6qKRWP2x64AAAqMEI8isx/e83NUK1Aos2bMaIjsNTVqa73o1qiqAAAlgBCPIovHd6rKSiDQVVUA2lnQdjlXztgAACWFEI8iSyWTqrIS4qhWoFDsl3NlOg0AlBRCPIosFo2pyoqvC0e1AgVifwiK/Y8qAKDACPEopibXuwhHIqoC0M6a/HFjgRoAKB2EeBST/Rv0fr9fVQAKwv6Hjhk1AFA6CPEoJs7VCpQU+x86FqgBgNJBiEcxJW2ParVfKwNA3oUjvVVlhQVqAKB0EOJRTPbrS3KuVqDAWKAGAMoFIR7FtGDRovd271q77vllK5bfWlk5dPiwcCTs9XqNWyO9OaoVKCj76TQsUAMApYMQj+ILhULhSGTS5MoHZs9etmLF6zu2S7KXWB9kkXigsFigBgDKBSEeJUrCBNNpgMJjgRoAKAuEeABAAxaoAYCyQIgHADRggRoAKAuEeABAAxaoAYCyQIgHADRggRoAKAuEeABAg+wFaoLBYP+BA26trJy/cOHadc+rrQCAoiLEAwAaGTp8WDqyv7d717MvrFuwaNGkyZUDBg0MsfArAJQGQjwAoJEHZs8msgNAiSPEAwAAAGWGEA8AAACUGUI8AAAAUGYI8QAAAECZIcQDQLs4mNj3+sixicVLjyRTalPpkRcpr/CtKXepHgBQJgjxANAuOgXOOnf67bvmPPxKr8t3jKv8YOUz6oYSIPsV8npkHyPaZ7C8wsDY69UNAIAyQYgHgPbSOXS+5HgpPt7w8ltTp73Ss89bU+7aH91m3FoUH69/SV6D7FfI6zFeSc/fzJXXadwKACgXhHgUQTwenzBu3Nw5VatXropFo8lkUt0AOM4ZI34QGPNjoz6SOvDBqjXa+PdlV7474/6DiX3G9gI4EH9bPqLsRewYP1leg9rq8Zw77baTI5eoBgBQPirq6upUCbTcrjkP76qarxpd98qJ3SffpJocJL7Pq6pSTb1wJOz1+UKhHpHekewTvwNlTYK75QB85+D5Z4y49tRB3+8UOEttyqF1P2uyn/Dx+pcSi5cerHlfbTI5Y/i1F8y+RzUAgLLCSDyKwHLoPRaNvbhho4T76Nao2gQ4Rc9FVR29nVVjcqD67XdnPhDtM9iYNJ+vQ2CNKe/brvyRPLM8v2WCl/0HY6oPAKAcEeJRBNXxnaqyEggEVAU4RUeft+dv5qrGijFpPnrZlW9Nuevj9S+prS0nj5X9AWPKu+whqK1WLvjlPfKqVAMAKDeEeBRBYm9CVVYCXQnxcKCTI5ekJ8fnYkya3zF+sjFp/kDcLoWbyT21w1X1Ke+yP6C25nbutNs4mBUAyhohHkVQU1OjKivBUEhVgLOcO/32zsFmReeDNe8nljy5bfCPtl35I21Ge45DYGX7rjkPS+KXe0r6l30AdYMtbXeCNSUBoMwR4lFo8XhcVTn4fD5VAY5zwS9bdiBpetK8eUkZw74nV2qrvFfNt5zynktHb+eeizIPKwcAlB1CPAotZbugZDgSVhXgRNrK8dNuU01LZA/GH/77P1TVEhfMbutU+Fg0unrlqrlz2BMAgGIixKPQ7Bef8TIMD6cLjL2+WEuznzrwilMHfV81zZOO7KNHjux7WZ9zzu4+euSo26dOnVdVxRkeAKCICPEoNPs//KFQD1UBzlWU1dk7eju39ONe1LNXOrLHorGMo1mqm5oaBwBoP4R4FBrrSwKdAmd1r5yomkI5d/rtLZ1IE+phd5R5fCchHgCKhhCPQmN9SUB0n3xTM1eqyYuTI5ecMeIHqmm2oO07Y4mE3c8yAKBdEeJRaKwvCRjOvbtwJ0xt3QQe+3fG7N9VAwC0K0I8Cor1JYE0bXR8+LWqaU/dKyd2CpylmpZgOg0AlCxCPAqK9SUBM22eurezatpHJ/+Z3SffpJoWsn9nLJWSH2gWqAGA4iDEo6BYXxIw6+jztjphN9MFv5ylqpbz+Xxer92xsCxQAwDFQohHQbG+JJAhMPb69jvC9eTIJW1ck54ZNQBQmgjxKCjWlwSytd8Rrm1fkJ4FagC0yJ0///m53f8p12Xvnj3qfq4hn7L5K3DLzTerG9qMEI+CunP69PsffPDWysr+Awdkz4BnfUm408mRS04deIVq8icw5setO57VjAVqgLTly566+MKLjCj2k+uvV1tbqLa2dsHD8+Uiz5AOdsZFnty4Sd21IPLyScHG8889ryrdkCFXqarNKurq6lQJtNyuOQ/vqmr066Z75cQWzfFNJpPV8Xhib0IMGzGcwXh3SqUOeb3Hq8aVDib2RfsMVk0+dPR2jrz6QkvP7pQtFo2OHjlKNVm8Xu/rO7arBnCudc89v2D+/B3bG77bR42+bta996qmGeSxW17ZsnD+fAnxapOtCTdNvO2OO1TTPtr+SeUin+kD991nfua0lzdv6tqtm2rc4Yq+/dLvP8jnLl8Bo247RuJRZD6fLxyJSHyfNLmSBO9aS5e9vm2b3QkEHK9T4KzAmB+rJh9kX7rtCV74bX8qU6mUqsrQ8mVPpUdAm3PJHqRs5jNIoFEPQBmSJCr/9LfcfLNlJG0OeaDEuB9ec63k2mYmeLHg4fnm8Jdfbf+k7PW5vM+se/9TNe4mP/7mf8RR112nqnwgxAMovmfWVD+ztlo1bqXF7jwtN9nJf2ZgbH7eFm9y1zoWtVtyCihfkr0k5kr4buNu2I7tO7Kz+OCrhjy2dOm7u/4ml5c3bxo12iLbyaP+5/X/ppo8ydcn1aSevXp16dJFNS627vnnVKUbctUQVeUDIR5AkW3bVvP++6mXXn4vlTqkNrlSR583X8k7v8tW2p/AIbG3XI9tldj00K9/3Zx39iWOzLr3Xolcqq8nz/C7tWv6XN5H9VnkyeVD2NwBpam2tvaB++67om+/dY1nM+fLhJsmmr8x5PtEvsFko9GaSebO1xT59v6ksvlcH+Lla27+asu/eH6nEhHiARSZMQZ/4MDhl17+q7HFtSTEt30wvpP/zDNG/EA1+WA/o6asF6gZfNWQx5c+YT9eKLc+tvQJy4FSIflewr3lH2bZKBFfPoTqUSYkNBsHmKo+3+Qbw3Ky+/iJEy2/FV/d8oqq2qC9PylYkgRvnkA1OH+HtBoI8QCKKZU6tKZ+Is2Ty143Ctfq6POeO72ty0225exOlgKBrqqyEotuVVV5ypWo0nr26tnkrADLea6z7r2X6QTlZfmyp67o2++B++5TffuYMNFixF3Id8tlVm/a7NmzV1WtUphPCpaWP/WUqvR/37zv0hPiARSTeSr82+98/Pbbf1eNW50x4ged/GeqpuXafnanbJHeEVWZBIPBcCR8a2XljWPGqk1lS/6y2qTt2lq7U9QZsh8uz8ksmrKzYP588+R12bv73do1eV8ixibJtcdeX2E+KWTbsX27+bhh+98zrUOIB1BMS59sNPq+dNkbqnKxtsxoz+9seIM/EJC83n/gAIns8xcuXLvu+fd273r2hXXLVqyYNLlywKCB6n5lS/6y5potI5qzfEf2kiO3E5LKUHqMXL4fXnvj9Qk3TezZq5dctzF7ybMZB7Aal5Y+Wxs/ejt9UmjSuucbHXuQ33VpDIR4AEVjHNKqGt2atdUuP7xVtHowvj2G4UUgEJC8vmDRIiOyh0IhdYODDB5i9zZ3kzk+mWwU4iUt5ffwNRSG/MP1ubzPY0uXZkyFKtgBmtl7g8L+m7NJRf+k7C14eH7GkqzZF2N11y2vbMnYbr6Yp/sbRwOnz2All1tuvjnX4bxyT3n+9D3lIlvM71202vJlDXNpZMdJLqrJTX7VyEeXV2t+PemLvE65VS7pZybEAyiapVaT4FlrUrRuQL09huFdQv6+2sTujBG1bOa/1iLvh6+hYCTsFnEe1KtWyz62fVHC4n5ShZHeP7nz5z83jgEw7xFJgpdkLBfV62SvwLhnxmqbxho+GT/ULZV1SGsT/4hyf/mgxskEcu1vyOuUW7U71C9bSYgHUBz79iVf/r3FcjQZE2zcqRWD8e00DO8eNm92Z5w1PYP8ZTX/tZa05PjAhPYgqTF7JP62O+5w9rs6E26amGt9JyHb06u7yo/Vy5s35TqiQO65d88eCcE24VvCsSRgo5biJ9dfbzPiLjsDzZlKl8vzjZeHH5V7wp6QjyU7GK0Y/ifEAygOy2F48f77qWfWMBjf4mF1huHbyCZ5yx9Xmz/ny59apird+In8Q6DF5BssnS/TJODKRTXOJT96lrvQEnwzToMlSf2hX//acl6K/JD+z+v/rcnYbUyVkcQshdqU24L5rVyRUz6EeTTd/pBW+XfP3vGQf/f0QRS5zgUmCPEAiiCVOmST1NOLTrpZiwbjOwfPZxi+jewnreaaUZPx11qeIdfOwBV9+6Xntsqj1NaCM0//zZhFgGKRDPfDa67NGIafde+9bl5DRj59uaimMcsfsTt//nP5sZKbHqs/D26u/R/5Uhs/s/LlNe75u7VrLN8KkLtlvzfSHBnv3Q3JPb9Onj97d0JemPmf3ng7wvKbgRAPoAieWVt94MBh1WTZ9lrNtm01qnGx5p+zKTD2x6pCG9jMW801oyZje3ssQOFa5t2eVlyKuKfUTJLdJcBdfOFFEkDVJl32CLTjZewkSxC3+fR9PutR7cFXDTHP/pfUaxn3JTd36dJFgns65cu+d64dhh3bd6iqJZq/PLzl5B/L0QR5tdnbCfEAiqDJie8c3iqaeQLXvJ+i1bVsjiCURGj5Tv1C0xvuXbt1K/fglV7QIyNWIo+21K+yIl/kBxoffykkXEqgtBwYdirZk0n/cBnxOtfbWTbkgdlBfNR1o1XVmOT7jEAsH9EyOrdiV1D+fc2PGp/j3F42ck0Kkq+M8daBcZCAIMQDKLRn1lRnrCyZbc3a6n37mj7JjrN19Hklx6smN2bD54skJ5v0kD2jZnnjIxEdMAzfuskDyKMfXnOt7Eo1Z8a2M8hnmj4YQH4AJadahukmyf5z9rzzrt2szzZtOTRueedW/ESkl44xtGJxoeVPPdXMnQdCPAohkUjEotF4PK56uNvDC2KqsvXwgj+oysWaHGLv6O186qDvqwZtdlmfy1WVJXtGTcab5vbD8C9v3mSMosmliOOs6RnDcsnYY2nyoEAUhgRHybUS5c2HWziSfJrpBC/ZXRJ8q380LOfYZMd6g+X2XHduEfm3M/+ryY+Y/WdkOWogCf6Kvv2asyNHiEchbFy/YfTIUdcMHnLO2d37XtZn9MiRt02ZMndOlWyXcK/uBHfIPsFTLpz4SXQKnHXG8GtVY0WbcuPzqgZtZhPEM2bUbHlli7kdP3FiXkJAEXGca2FIbkvvR8ll1r33Wh6CKXHwlptvtpwz7QDys/PDa64159Su3brm/SeoRbsEXbvmYdc641jYJk8ZIbsuud79k90bY86VzQ8mIR6FkEw2zIuoqamJRWNPr1o9r6pq4vjxEu7vmTFT3QYXaOYwvCHXMpSuYj+jpjnzbdB8EiNsjkIzz6hp/pvm8mfYmAOdvqT/KmfflH4bPeMsklf07WdsF9mPMnYnJBKlJ7XLwzPGceXW9P2Nizkgyksyz++Xm9J3k6dSW3VyTyNepC/SZozi5/pY5lcoF+POuZjfu2jFpYhvd7SI7Dfedscd8slaTiORf+uMr225M45XlgSf8XnJt6sD9ljMvxbsf5mk2R8CIV8T+QGUi2WUJ8SjEGLRraqy4vP5VAWn27atZttrLVh2ZumTrzMY3zmUc/nIM4ZfyzB83vVpxoya2tpac+CQHGbzZ1j+SFsuDyfkplxj//NyrIctssdu9+7ZK+FYwnR6FFD+5Gcshi0PkQeqpjG5m6QE8whiLvKcck/z0wppJZOZvyDZH0uePOMVwky+fx769a8sh6Lli6Yqp5PPtJlzwUuT7JaYo7Yk+Oa8tyD/9I8vfcL+SAB5Wvm5k5++jB8fQjyKL9I7oio4XYuG4cWBA4cZjBeBMdYrSDIM3x5s/vSmZ9RkDBlOaGoBCptZOrkOh9WG8XIveZmx5IX8dZctxgi0+d35jFSUa2dDMrc80PwipTaeTS7ppTDko6RH92W3RG4yjx/fqS/UbdQi42PJKzFeYa79GciXy3IlEwlwThqMN95gSX9TmUlCvb+c91gyjn1vci5NmvzT/27tmiZ/NOSnT/aWzT9lhHgUQixqF928jMS7Q0uH4Q0MxotTB30/+8RPJ0cu6Rw6XzXIH0nPlzW1Ro35kNYmj10TNgNyeblJ/vynx+bn/frX5ltzrXDfUhIl0wlePmXjw8knbt6ByTjDZTfTch+S6Y2HyHWTXy7XyjU9unWrlZcy+Uwf+vWvVWNS1pNqzK9cvslz/WvmYuxLy8+yzQ++JPhbbv4P1RDiUQDmCfGWQqGQquBoLR2GNzAYb8hepsb+gFe0hc0ZFiUTy59q82DY+InFX+LT/F68JADzTkj2ypits/ypZapqvIZPo4+Ve4fBfNRgerK76lEv15wKR85BGnzVEMsp42U6qUa++c3/TK1ecFai/GtvvD4r90T5Hdu3p/cWCPFod9W2K0t6vczodYXWDcMbGIwXGTNnOno7l9QJnuI61ZQ/+xk15vHmPpf3ael4WwF0M/35z1ceetU02Tdjn0FVetbMNfHDZnAxF8efsRW3W406l+mkmucbH+lunpzWCvJw2dc13rzKtmXLK0ZBiEe7S+xNqMpKqAfD8K7QumF4A4PxoqPPax56L26Cj0Wjq1eumjunavTIkVdfOfics7tfM3jIrBkz1M2OYDlGaDCnw+ZPey0k85rZeRnElU/Z/Dw/abxyjtqq27tnr6qApnTt1s1yInjZTaqRnw7z21A2owAtIl8cy69PenoVIR7tLpGwC/H+QEBVcK62DMMbGIwX5uBelENa4/F438v6SGQfPXLU7VOnzquqikVj1dXV6tadjjqbW3PSuUSQNo63OU9e9hkcxvyWwp0//7naaiXXV8/81orDyE+Q5XtZ5TWpJmOXw2Y+XktNuMnuBBSEeLS7eHynqqwEAtZnRYaT3P/gZlW11oEDh+9/8L9V41YnRy4xDm/VisBZxsZCCgQCNTU5d8ZSqVSTB8CUEQkWTY6lNbkojVOlJ7VnX9irsZcxczqDec5SmnwfZr8vtCBrJX65lEXqzf70LVc+lbuV0aSajJM327yPlyH9b2fzzkPPXj1VlYUQj3Ynf9hVZYWjWh3vmTXVb7/zsWraYM3a6n37nJMRW8cYgC/WIa1NntLB/gCYsmOfR1v0p7rAksmGnGS//nQz+RrvzzDc3mrypbOJa+m5zmaW606Wr9razF/jNpNqzHNUWqFF36jmn5oW2fLKFvPuU+v2YzNWdjLbkzVFLR3rCfFod/Zvsvu6sL6kw7VlNnyGhxf8QVVudeqg7xf3kNZwJKwqK/YHwJQdm2XahUSrJofqmyMv+TjZ+FF7TJHCZhiv+eQzNe8MmM9o035sxvubc8m1uEdLyb+I5Qh3q/dkHsg6wa3BciJ4O03ZyvsnZSnj29JguTHX55hx8gHD3r0Wr9xyo+XHEpafpuVGy6fNkHHyZvvfG7nIpynfGKoxydhDMKSn6xDi0e5SqZSqrIQjnOnJySTBv/++3TdAi6xZW71tW5vm1pe7ToGzev5mrmqKwf4gFvsDYMqOxFabIJivaCX52LwzYD4wdMeO5p7ix5za5U9+o2Psmj091/wyshcmN0cT8+SBNPOpoAzZY67laGGOIVL5ZFt9DqYfXnPtgofnp1OjEeDkC2i0afIvkus0rm3UHp9UBvmkLGOx5Xe1fI6WM+PlGczLohss9yEtl9LPtbdpOW3J8s5N7q/KKzR/28tn0er3vowTJ5ufTXbqbs36rpAPkX4PkBCP9hWLRlUF90mlDi19Ms+ryuRxXL9MnRy5RFXFYH8QSyy6VVVOkWuxZ0nweYxW5sHyBfNVtrvz5z83j8tmj8aZSSYz/vZnhB75Y5+RjcxjkxkZq2fPhvAhSc4Ic/K0RriUTzm9SyMvRtJGOu3JfSSVyrV5LXlhfv6Mj1X65LOTUCWfu1yrTVmMLG5zBxuS2i++8CJjPvQVfftlP4l8tR9r6mz8LdXen1SaZN/s8G2wfHL5jsqeNGKQ15z+ZtO/vW+2/FmQO2QcNCyvIdcclfvvuy8jnVsO+QvZmOsjGuTb3vy93cblqvSv283pifLyqjJ/SHv1mmc6SVZFXV2dKoGW2zXn4V1VjX5IuldO7D654dQnG9dvmDh+vGqyhCPhZStWqAaOc/+Dm59c9oZq8mfO7Ku+f8U3VYPCkt3y0SNHqSaL3+/f/GoTA1flRZKBZBrVmLy8eVNLZ2vIn2RVeTyPLV1qztbyl1tiimrqyfNPmDjRnEtuM52WVZif0JJ8iIyzt8pegfkJ5UM8vvQJ8ycin6yRlszSzyM3STLLFWgyXl6TH6s0yWvOntPSfLPuvTf7LRrJeVu2vNL8p5Uv9fiJE3OtEW6QHJw9+yLXt2V7fFI2LL+fM8gTmo9nld0Ym6BskM/uf17/b/Z3k+9V+eGSIuPbz1L6x1BebUamz/ZujnOTmR8r/3Avbd7Uot37Jn+KzeRbIuPgAUbi0b7sz//ibeo4OZSvffuS7ZHghewbsNxksdj/zNqsXVOmevbqlT0UOviqIW0Mo10aHwskSeKhX/86/YHkyeVPtUSWjOnsEtpyjY8aWSRNXqEkJMko5jwhUSMj1kgeklSkGt1jS58wZ0fjhaWfR16hvCp5beavidxkvFrzAy0/lgQ11biM8c8hKVC+kvK1kovl9498teUm+YK/9sbr9gkeJUJ2a83pX/6hW5TghXxXyD+38V0hF7W1MeMmuWf2HRiJR5s0ORJ/z4yZjy5Zopost1ZWTppcqRo4y9hxT7dxbXgbEydcetMEuyMs0X7OObu7qqysXfc8S05ZMg+5yZ/tlv6xz2YztA+gADL2qwv/Y8hIPNpXIBAIR8J+v1/1jcmtqoKzvPTyX9svwYulT77OcpPFEgwGVWWlxlkL1OSLeWJr127d2p7gARSdeZKS/FwXfkeaEI/2dePYMctWrNj86pb3du/atOWVZSuW3zlt2q2VlZLs5RLoSoh3oFTqUNvP7mSPcz8Vkd/2x9Z+Bp1rrTOtOJHrYFkAZSTjkNai/FwT4lE4+qh8RGL9pMmVkuzlwvqSjrR02et5XFYyl5d//1eXLzdZLKFQD1VZsT9DszstX/ZU+hjEnr165WW6c8aaFbnWwwbQTp5vvDz8kGKc+o0QDyCf3n777/MLdUqmO6dv5AjXwrOfBWd/hmYX2rtnz53168QNvmrI79auMba3UcZiIxlrOwJoV/ITbX57re0Hu7cOIR5APhVylsv776dYNr7w7GfBxaL8izQif9p79uo1avR1Et8fMi3w3BbZywtueWWLa9d+AQovYy86fQrVAmN1GrRJk6vTwFWWLnv9gYJPVf/tU6POP/801aAg7Beo2bTlFY5ZB+Bg5oXtu3Tp8tobeT6tYTMxEg8gP/btSz48vwijsHdNf1FVKJRc600ZahIsUAPAsba8ssV8zqkWnQkrvwjxAPJDwvSBA4dVU0Bvv/Mxk2oKLNeMGgn34Qjr9wNwsnWND2kdPKQIh7QaCPEA8mDpstfbdWF4e/MX/OHtt/+uGrS/oL5ATTAY7D9wwK2VlfMXLly2Yvl7u3dtfnULq04BcLCMQ1p7Wp3UuWAI8QDaqnUTaa743jfnzLY4GGjm3f0vudhutoalu6a/yEo1BXPX9GkS2Z99Yd2CRYsmTa4cMGggwR2AG2QsD1/EYXjBga1oEw5shfjRqKfefudj1TRFAvq11wS/f8U3vd7jpb3wOw8Z29Pe+NMtci07Bi/9/q9Ln2zBkvM/Hn3h7VP7qgYAAEdjJB5Amzy8INacBH/mmd7bpn533bM/Wbxo6A+uDRoJ3sZZZ/muH33RC8/d8NunRkk679z5OHVDbk8ue+Oll/+qGgAAHI0QD6D1tm2rsT+1k4RvieASxCWOSyiXaK5uaLbzzz/t9ql9t2yeMGf2VddeE1Rbc7hr+sZ9+zjZEADA+QjxAFoplTo06WfPqiaLBG6J3RK+JYLnZR3371/xzXtm9H9l0/iZd/e/4nvfVFsbO3DgcOXPGq0bAACAIxHiAbTS2HFPZ68pKfFaQrZEbQncErvV1vzxeo//wbXBql9ete7Zn9w29bvnn3equqHe2+98fP+Dm1UDAIBDEeIBtMZd0180T4WXMG1MeZd43Zwp721nTJr/7fLrjEnzZ57pVTfok+OfWVOtGgAAnIgQD6DFJCKvWaulZInOxpR3CdOtm/Ledsak+Reeu8GYNG8cAnv/g5tZOR4A4GCEeAAts21bjURkY8q7ROd8TXlvO2PSvLykmXf3/5dLAmPGPc3K8QAAp2KdeLRJrnXiY9Ho6JGjjBOwhyO9fT5fqEfIK9ehkHE3lK+33/77WWf58jVhJtc68W0nCV4uRXlzAACA9sZIPNpRLBqTy7yqqlkzZ0qmv2bwkHPO7t73sj73zJip7oEydP75pxVgynvbyYskwQMAnIoQj3YR3RpVVZaamppEYq9qAAAA0HKEeLSLZNLuhDuhUA9VAQAAoOUI8WgX1fGdqrLi8zHJAQAAoPUI8WgXyVrbkfgeHN4KAADQeoR4tIvqartT7fgDAVUBAACg5QjxyL9EIqGqHAKEeMBxYtHoxvUb5s6pmjBu3OiRI885u7tsUbcBAPKNEI/8q7EN8X6/X1UAytwji5dIXu97WR+J7KNHjpo4fvy8qqoXN2yMRWNya2JvE/vzAIBWI8Qj/+z/cge6MgwPOEQ8vlPyek1Njeoba/JNOQBAqxHikX/2f7mDrC8JOEUg0FVVVmLRraoCAOQbIR75F2d9ScAdIr0jqrJiv0oVAKAtCPHIv1QTZ3pifUnAIby2++T2q1QBANqCEI/8i++Mq8qKrwsj8YBDNLlPHo/b/TYAALQaIR75l0qlVGUlyEg84CDBYFBVVuzflwMAtBohHnnW5HoUzIkHnMT+vbXoVpaKB4B2QYhHQYUjYVUBcIRwpLeqrCQSe1UFAMgrQjzyzP5MTwAcxv4EzPxCAIB2QohHnoUjkfd271q2Yvn8hQtvray8YcyYcCScPkur/aAdgLJjf/o2+8PcAQCtVlFXV6dKoOV2zXl4V9V81ei6V07sPvkm1TRmTJe3H7eD21z4nYdUVe+NP92iKpSDZDL57V7fUo2VP29/kyNhACDvGIlH4Uh8J8EDDiMB3ev1qsZKNatMAkA7IMQDANok1MNu3djEXqbFA0D+EeIBAG3it32HrcllZwEArUCIBwC0SSDQVVVW4vGdqgIA5A8hHgDQJpHeEVVZ4aStANAeCPEAgDbxmhafCQaD4Uj41srK+x98cNmK5X/e/uayFSvUbQCA/GGJSbRJi5aYBLKxxKQzxKJRP8tPAUABMRIPAGircCRCggeAQiLEAwAAAGWGEA8AAACUGUI8AAAAUGYI8QAAAECZIcQDAAAAZYYQDwAAAJQZQjwAAABQZgjxyLO/vvdeLBpNcqJ1AACAdsMZW9Em2WdsXeM59IznoFGHI2H9urdc3zh2jM90bnbAwBlbAQBoBUbi0Y5i0Zhc5lVVyYUEDwAAkC+EeAAAAKDMEOJRCMa8GgAAAOQFIR6F4GUuDQAAQP4Q4lEIoVAPVQEAAKDNCPEoBI5qBdwpHo/HotG5c6pumzJl9cpVaisAoM1YYhJtYr/EZNqyFcvDkYhqABOWmHSSZDIpSV2uY9Gtib2JmpoadYMuHAkvW7FCNQCAtmEkHoXAnHjADarj8VkzZ86rqopFYxkJXiRrOQccAOQNIR6FEAqFVAXAufyBgKqsVFdXqwoA0GaEeLQ7r9erKgCOFrAN8SIej6sKANA2hHi0u1APhuEBtwgGg6qykkoyowYA8oMQj3Zn/w47ACfxdbE7ACa6NaoqAEDbEOLR7gKBrqoC4HThSG9VWUkyEg8AeUKIR7trcposAMew/3mvju9UFQCgbQjxaHeBroR4wC3sf97jOzmwFQDygxCPdseceMA9grbryaZSKVUBANqGEI92x3QawD18TZ3ZLRbl2FYAyANCPPLs1spJ7+3etWzFcrncWlkpF3UDAHcIR8KqssJ5WwEgLwjxaBfhSEQukyZXykVtAuAOXtvBeM73BAB5QYgHAORTKNRDVVbiLFADAPlAiAcA5FPI/thWlooHgHwgxAMA8sn+pK2xaExVAIA2IMQDAPIpHImoKgfO2woAbUeIBwDkmdfrVZXO7/eHI+FbKyvvnDZt2YrlaisAoA0q6urqVAm03K45D++qmq8aXffKid0n36QaoCkXfuchVdV740+3qApla/XKVYlEItI74vX57KfIAwBah5F4AECeDRsxfNLkynAkQoIHgHZCiAcAAADKDCEeAAAAKDOEeAAAAKDMEOIBAACAMkOIBwAAAMoMIR4AAAAoM4R4AAAAoMwQ4tF6SZ1qAAAAUCiEeLTe6pWrHl3yiGrqVcfjsWg0kUioHgAAAPlGiEfrWQ7Db9ywcfTIUf36XD53TpXaBAAAgLwixKP14vGdqgIAAEABEeLReinbCfGhUEhVAAAAyKuKuro6VQItdFHPXt9PfXmt53jV69Z4Dj3jOSjFshXLw5GIsRHI5cLvPKSqem/86RZVtc3yZU/d+fOfq6YZ+lze57GlS1Wja+YzyKPksaoBAKAgGIlH66VSKVVZIcEDAAC0E0I8Wikej6sKKEmjRl/30K9/3bVbN9Xn1rNXr1n33psxDC/kGX63do3NKLs8uXwIhuFbKpFIxKLRjes3qB4A0HJMp0Eryd/g0SNH/cDTyXI6TTgSXrZihdoE5NZ+02kMe/fs+eE119bW1qo+S5cuXV7avEmuVW/lir795HlUU08SvER8+wcimUxWx+OJvZLbJbhvTdYmq6urjZv8fv/mV7cYNQCgpRiJRyvFdzISjzIgUXv8xImqsdKzV88mg/io665Tlcmse+8lwduTBP/tXt+Svf3bp06dV1UVi8bSCV7U1NSoCgDQcoR4tJL9uVrDkd6qAopt1OjrbNJ2bW3TZx3Ofvjgq4Ywi6ZJPp9PVTnEolFVAQBaiBCPVmKReJQLieCSuVWTJXueTLbs2Ti333GHqmArHAmrykqyGXtQAABLhHi0kv0i8ZHeLE2DEjJ4yFWqyiIBfcf27arJIZlsFOJll6A5x8tCeG0H4zk+HgBajRCPVmJOPMpIn8v72MyoWff886rKYfmyp1SlG3XdaFWhKaFQD1VZSST2qgoA0EKEeLQSi8SjvIwabXFwqmHLK3ZrpMit5uk0sj/AbPjmCwQCqrJSk0ioCgDQQoR4tAZvgqPsDB6Sc1r8ju3bbWbUrHv+OVXpxk+8SVVohkBXuxDPG3oA0GqEeLSG/YR4+0PZgKLo2auXzUT2XIPxtbW15rk08gwMw7dIMBRSlRX7N/QAADYI8WgNxs9QjiyXezfkmhafMRt+gu2S88jGKpMA0E4I8WgN+cPs9XpVk4VF4lGabAbRc82oWf5UQ4jv0qWLzcR65MIqkwDQHgjxaI1hI4a/vmP7e7t3XffjzGU6jjvuOFUBJaZnr15yUU2W7Bk165573ryKvP2ZX5ELq0wCQHsgxKNNTjvtNFXVm/jvN02aXKkaoMTYHN6aPaNm+VPLVMUwfBuwyiQAtAdCPAAXGZL71K07tm83j7tLbR6bH3zVEJuV5mEjZHtsK6tMAkDrEOIBuEjXbt1sZtQ8/1zDYLx5NrzgkNZW83WxnU7DUfIA0CqEeADu0pwZNRkrSw6+aojN8pSwZ3/qt1QqlbRdshYAYIkQD8BdbKa2p2fUrHvuefNZWkddl3kAN1rEZjErUc2xrQDQcoR4AO7SpUsXm7UmjRk15rk0PXv14gRPbRTqYTEtXpJ9OBIeOnyYP2B3VlcAgCVCPADXGTzkKlVlWff881te2WJeM97mFFFopmCoh5HXb62snL9w4bIVy9/bvev1HduXrVjxwOzZAUI8ALRcRV1dnSqBlts15+FdVfNVo+teObH75JtUAzTlwu88pKp6b/zpFlW1m9ra2osvvEg1WQZfNWRd/RGuXbt1e3nzJqMGAKB0MBIPwHW6dOkiSV01WdIJXjAMDwAoTYR4AG7Up8/lqsqNEzwBAEoWIR6AGzXn5E2S4DnBEwCgNBHi0SYHDx5UFVBWJJ1f1tSaM8ylAQCULEI82uS3K1eqqt6mzZtVBZS2IbnXqBGjRl/HCZ4AACWLEI/Wmzlr1m79zDhmm//7v9944w3VACXMfkaNzTKUAAAUHSEerfTMmjX3zJqlmsaGjRixf/9+1QAlLNcaNX0u78MJngAApYwQj9bYvXv32HHjpFj/Re3UT/dOS9Zs7JCSQi6yZfeePTNz5HugpOQabh913WhVAQBQkgjxaJl7ZsycMG5c3+99r7a2VtoPv/ryjcOf/6DbKT/959NP8x0rtWyR7Q/96lfPrFmjPwIoXX0u75M9o6Zrt242q8gDAFAKCPFomY3r169cvXrf+++r3uP5if+0oWecIsX/Pb+bt2MHY6MYO24ck2pQ+l574/WMc7KyKA0AoPQR4tEy7/71vdTnn6vG47mg8wm/ONdv1L6OHe47v2E1j9raWmPKDVDiFsyfrypO8AQAKBOEeLRANBr9hz6LxuDt2OHhHv+kGl3/U7v8xH+aajyeNWvXMqkGJW7vnj3Llz2lGo9n/MSJnOAJAFD6CPFogVsmTTpaV6caj+e+87v5Ox2nmnq3dD/DvHHK1KlMqkEpYxgeAFCOCPForpmzZr1uWgD+J/7T+p9qMWDp69jh/5om1bBSDUrZlle2MAwPAChHhHg0yxtvvGFeFd48FT5b+OTO5nz/0K9+xWlcUZoeuO8+VTEMDwAoK4R4NMsY0yGq3sYHsFrKWKnmZ1OnqgoooJ9cf/253f9JLhdfeJHaZLLg4fk7tm9XDcPwhRWLRjeu3zB3TtVtU6aMHjnyop69zjm7u7oNANAMhHg0TSL4m2++qRqP55azzwh2PkE1OWSsVCMPZ1INiqi2ttY8bUase+558zB8127dJtw0UTVoN+m8PnrkqInjx8+rqnp61epYNJZKpeTWZDJp3A0A0CRCPJqwafPmh371K9V4PJee3PmGQMP6Mzb6n9pF7qwaj2feQw/t3r1bNUDBLZjfMO4u8f2Wm282asNDv274Jkf7ie+MG3ndUnU8rioAQFMI8bCzf//+sT/9qWqaN5HGLGPZeCbVoIj27tnzw2uuNWbXLHi4YUUacdsdd/Ts1Us1aE+hHiFVWUnsTagKANAUQjzszJw1a/eeParJsaakDbnzLWefoRp92XiOcEWpGTX6OibSFIw/EFCVlUSCEA8AzUWIR04ZE2n6n9rFck1JexnLxpvH9YGikwQ/6957VYP2Fwh0VZWVeHynqgAATSHEI6eMiTTm1d9bhGXjUZokvpPgCywUsptOk+LAVgBoNkI8rGVPpPGZloxskYxl4+c99BDncEVhDB5yVfbS77LltjvueHfX31gVvvB8XXyqshKLxlQFAGhKRZ3pLPqA4Y033rgkHFaNviLN0gvPVU2r1Bw8fEWsYd2J/3n99Yt/8xvVwN0u/M5Dqqr3xp9uURWcyH49+D9vf9Pnswv6AAADI/GwYF5GpqUr0ljKOML18aVLZT9BNQDcxOv1qsoKq0wCQDMR4pFp3kMPbf7v/1aNfmqnFq1Ik8tPAqdxDlcArDIJAHlBiEcj+/fvNx942vxTOzXJ17HDL87xq8bjkf2EZ9asUQ0A12CVSQDIC0I8Ghk7blxtba1qPB5z7G67oWecckHnE1Tj8UxhMB5wH1aZBIC8IMSjwabNm9esXasafSJN0JS588K8V7B7z57Hn3hCNQDcgVUmASAvCPFoYF4Y3t/puJ/kaSKNWfjkzpee3Fk1+sx4lpsEXIVVJgEgLwjxUDIWhv/FOf5WLwxvz7zWTW1t7TzTSWEBOF44ElFVDkkG4wGgGQjx0OzevXveQw3LdV/a+PRM+eXvdNz/+MYpquHcT4D7sMokALQdIR6amffcYz6ete0Lw9u7tXvDmvEMxgNuY7/KpJeTPQFAM3DGVmjHs/YfOFA1+vGst5hCdjt5aNcHD+3+QDUez7tvv3322WerBm7CGVtd6LYpU55etVqKcCQskT0U6hEQXQPBUIjTtQJAMxHi4fnXAQPSZ3fydzrumYvPb6fZ8GbJI19dEYunjnxltP/z+usX/+Y3Rg1XIcS7UCKRkLBOXgeAtmA6jds9/sQTGednLUCCF/JRbvA3rH7z+NKlu3fvVg0ARwsEAiR4AGgjRuJdbf/+/Zdceml6UZpLT+689MJzjboAGIwHAABoHUbiXW3er35lXlbylrPbfSq8GYPxAAAArUOId6/9+/ebl5X8H984JWw6DVNh/CRwmtc0e2fmPfeoCgAAALkR4t1rytSp6WUlJUmbl30sGAbjAQAAWoEQ71KSlSUxq8bjkSTt73ScagqLwXgAAICWIsS71M+mTlWVPgwvSVo1BcdgPAAAQEsR4t1o0+bNa9auVY3H84tz/IVZVjKXjMH4uaaZ+gAAAMhGiHcj85QVf6fjhp5ximqKJHMw/okn9u/frxoAAABkIcS7zqbNmzPO7qSqojIPxtfW1s771a+MGgAAANkI8a5jHoa/oPMJRR+GN2QMxs976CEG4wEAAHIhxLvL4088YR6G/8U5flWVAPPBtbW1tfJSVQMAAIDGKurq6lQJFzj3vPPSp2i99OTOSy8816hLxB1v7fl/H35i1Gd36/buO+8YNQAAAMwYiXeRx594Ip3gRYnMhjczn3BKXiqD8QAAAJYI8S5ing1/6cmdwyd3Vk3J8Hc67n98o2GOPmtNAgAAWGI6jVs8/sQTY8eNU43H88SF55ZgiBex/Qf+7Y13VePxvLhhQ7++fVUDwNHi8XgqmYxujSaTyURi74JFi9QNAIAshHi3KPHZ8GbXv/HuH/YfMOprr7lm9cqVRg3AYebOqZK8Xh3fmdibqKmpUVvrvbd7l6oAAFkI8a5QLsPwhqc/+OR/vd0wd//dt98+++yzVQPAQc45u7uqrKxd93woFFINAKAx5sS7QunPhjcbesYp/k7HqYaZ8YBzBYNBVVlJJZOqAgBkIcQ73zNr1pT4ojTZfmI68dPjTzzBiZ8AR/J18anKSnRrVFUAgCyEeOebZxrJLv1heMPQM07xduxg1LW1tWvWrjVqAE4SjvRWlZUkI/EAkBsh3uE2bd5sPkVrWQzDC1/HDv2/3kU1jacDAXAMn89uJL46vlNVAIAshHiHK6/Z8GYZJ36SvRHVAHCKUA+741YTexOqAgBkIcQ7WcYw/A2miealz9/pONnrUI3H8/jjj6sKgFP4AwFVWcledBIAkEaIdzJz8JVM3P/UhgkqZWGo6eytjy9dunv3btUAcISAbYgXiQSD8QBgjRDvWBJ5Jfiqpnxmw5tlrDX52BNPqAqAU9ivMllDiAeAHAjxjmWeDS9RWAKxaspKo8F4ZtQAjmO/ymR8Z1xVAIDGCPHOtH///mdMyzKal10vL+Z9j9179jyzZo1qADgCq0wCQOsQ4p1p3q9+VVtba9Tejh3KdBheZEzlf5wZNYCbxKJbVQUAaIwQ70zmmSdDv3GKr/7ESeXIPKNmzdq1nL0VcJJI74iqrCRrGYkHAGuEeAd6/Ikndu/ZoxqP54ZAuc6lMfQ/tYv58FYG4wEn8dqf76m6WlUAgMYI8Q70mGkY/n98o9ECL2XKfPbWeQ89pCoA5S8Usjvfk2CVSQCwRIh3mjfeeMN8gqfynQ1vZn4zYfeePfI5qgZA+fP7/aqywiqTAGCJEO805oHqCzqfEDad9LR8+RufvZXBeMBJAl0bnfIpGAyGI+Ebxoy5tbJy2YrlwaaG6gHAnSrq6upUifK3f//+085oOKnT/z2/mzNG4sXTH3zyv95WE/27dOny8YcfGjWAcrdx/YZEIhHqEfIHNGorAMAWId5RZs6adc+sWUbt7djhtT69jNoBkke+uiIWTx35ymhX/fa3P7j2WqMGAABwG6bTOMqjjz6qKo/nhrI9wZMlX8cO5sNbWaMGAAC4GSHeOZ5Zs2av6Qgwx0ykSRtgOusTC8YDAAA3I8Q7x/wFC1SVtba6M2R8UpLjVQUAAOAyhHiH2L1794v/9V+qaXyWUycxz6iZyxo1AADArQjxDvGYaY64v9Nx/U0zT5zEPEfozTfflF0X1QAAALgJId4hHjedpbXm4OFrX3v70cTfk/VruThGsPMJ5hk1z6xZoyoAAAA3YYlJJ5AsO/xHP1JNY/1P7dL/613k2texg9pU5v59599e/LjWqM/55jffiseNGgAAwD0I8U6we/fuuQ899NCvfqV6Kxd0PmHoN04Jn9w52PkEtal8JI989Yf9BzZ+XPviP2rTS8Ub3n377bPPPls1AAAA7kCId4g33njjknBYNba8+oLrRpov8UAf239AsnusVrtWm7LMfuCBW2+5RTUAAADuQIh3iE2bN/cfONCoL/SdeJH3pBf/UVtz8LCxJRcJ9JLjw11UoC/6qpTVB75Ql8++sAnuaf/z+uun3XUXI/EAAMBtCPEOYQ7xl57ceemF50ohafjpDz5pTpo3GJk+eNIJvo4d5Enkul2H6uXlGfNkEgcP1xw63JzUnuHLgwdVBQAA4CaEeIewDPFpEpdj+w9Imm9FUDaSvRRGuJfC3+m4jDF7uUP6wFnJ5fLhjNqQqt+i3fSZVkibMbW9SfIRL+3SecCpXf5959/UJkI8AABwK0K8Q9iHeLPmTDQvEbL/ED65s2R38/G452163SgEIR4AALgTId4hmh/izSTQV9fPQX+r8fB5sciLD56kTdCX4G45R58QDwAAQIh3iNaF+AyS5msOHpZrY5J6Kya9tIgxUcd//HGBTsfJa5br5hxZS4gHXCWZTFbH416fLxQKqU0AAEK8Y+QlxFuSWC+ZPj2vXcRqM+fhZMzMkRegqnrhLmqLpHbJ7s3M65YI8YBTxePxVDIZ3xmX4B6Lbk3WJqurq42bgsHgsy+sM2oAgCDEO0T7hfhSQ4gHHCmRSPTrc7lqrLy3e5eqAAAezzHqv0A5aOZamQDKTiAQUFUOkvJVBQAgxDvGG2+8oSqPx398kc/Z1H4SphDf97vfVRUAR/D7/aqyUkOIBwATQrxD7K+tVZXHEyj2iVcBoBUCXe0G4+M746oCABDiAQAlIhjqoSoryWRSVQAAQjwAoET4fD5VWYnHd6oKAECIBwCUiEjviKqspBiJBwATQjxa5qOvTood6rr8s2/9Yv+Ayk+H/PDvP864jP74R3LTvFTvtV9csOPLb6iHAUDbxKIxVQEACPFoJsnuiw9cLKl9/Cc//D/Jvss/77Xzy9N3Hfmautnk87pj5aaXDn5T7n/n/v6S6f9Psp+0n9VxuC0AO+GI3Ui8YFo8AKQR4tEEyd+/2D9AsvvaLy6wTO32JNPHDgXmpXqP+8cPJdbLzoC6AQCyeL1eVVmpjrNADQAohHjkFDvUddwnP5T8vfPL09WmNpA0L7sBsjMgT0iUB2Ap1COkKivJWkbiAUAhxMOChOxf7B/wf5J9/94Oafulg9+s/PSq5Z99S/UtkTrylaoAOJHf9rytcUbiAaAeId4hzGds9XbsoKpWWfvFBRKy8zL6nsvndccu/7xX5adDWjokX33gC1V5PP369VMVAKcIBLqqykoisVdVAOB6hHiH2L9/v6o8nmDnE1TVQp/VHTcv1XvxgYslZKtN7WnXka/J3kLskN3fbACuErAdia9JJFQFAK5HiIciCf4X+/u/dPCbqs/Ne/yX1/SqmfKv1QtHx35fuXHbHevMl2U3vjJ76J/GX/6Xi7t9oh6Qm+wt/J9k3+Z8UABuEOhqF+ITewnxAKAQ4qExEnyTi89IdpeA/nLli9OHvHndJbu+0/WTzscfUbfVO+/0VL9//nB8n3cXXKdFfMn6Z3VpmANjaV6qNzkegAiG7A5srampURUAuB4hHs1K8BLf1970e8nuEtDVpmaQiC9Zf83E39991Zv2UZ4cD0D4fD5VNeb1esORcP+BA1gqHgAMFXV1dapEOfvXAQM2//d/G/UTF54bPrmzUTeHfYA+7/Tk1P7V3+na9NyYJi3ccu7CV/5ZNVb+t29z+Hi7A9ce2vXBQ7s/MOq77rxz2p13GjUAx7hnxszq+M5gqIcE+khv7fRPTZ4ECgBciBDvEK0O8Wu/uGDxgYtVk0Wf+x7PnjPTau985J369MX7aq0PvT2x4suqrz13eofPVJ+FEA8AACCYTuNqfzvyNZsEP/7yv0wf8mYeE7w47/TUshtfOe906zfEP687dm7qMtUAAAAgB0K8q/3mwCWqyjLlX6vH93lXNXklewULR8dy5fidX57O5HgAAAB7hHj3kqyc64xO1/Sque6SXappB0aOz3Woq+xafFZ3nGoaS3LGVgAAAEK8Y+zevVtVHo+veWdsferzb6mqsfNOT04f8qZq2o3k+AeHvqaaxj6vO3bt5xeoprHqz0xnbO3bV1UAAAAuQ4h3iN179qiqeWdsjR3q+vevTlJNY3df1e4J3nDe6anxl/9FNY2t+cI6xAMAAEAQ4l3qpUPW886v6VUj2Vo17W98n3ctJ9V8XncsM+MBAAByIcS70Wd1x8UOWZ/bPNfQePvJ9RFjh7uqCgAAAI0R4t1ox+FvqKqxa3rVnOmzO69qe7i6Z433+C9VYyK7GbkObwUAAHA5Qrwb7cixKM33/vlDVRXW9877SFWN/e3I11QFAAAAE0K8G/31yCmqaqxfsUJ8jo+b6x0DAAAAlyPEu5Hl8vAXd/tEVQV3cbd/qKqxv33FSDwAAIAFQjyUXKdeKoDOxx+x/OgHjjInHgAAwAIh3nVyTTQ/s8vnqiqGM61CfPZL5YytAAAAghDvBObTtXqbOl1rGS358nndsaqq99aBhqx/4beszzgLAADgeIR4J9hlCvHNOV2rM5x88smqAgAAcBlCvOucVHFYVQBQ8pLJZCwaXb1y1dw5VbdNmTJ65MiLeva6Z8ZMdTMAuBUh3nX+qeOnqmrs/doTVVUMqYMdVWXS41jr9eMBON7G9RuuvnLwOWd3/3avb40eOer2qVPnVVU9vWp1LBpLpVLV8Z3qfgDgVoR4NzqxwuIMqW9/6FVVMbzzkU9VAODx+Lr4qqurVZMlWZtUFQC4FSHejSwH4yVGHzhkMRxeAH/aa33yqV7HFufkUwCKzh8IqMqKTb4HAJcgxLvRNztan9fptT1fV1Vh/f4d6zOznt7hgKoAuEzANsSLRCKhKgBwJUK8G/XMMdd87Xa/qgrr93+xDvE9GYkHXMzvt/uNVEOIB+BuhHg3Ch+/13JavITp95OFXqHyT3tP2Vdr8UG7d/z09A6fqQaA+wS62g3GJ/YS4gG4GiHepSLH71VVYwtf+WdVFcqCHB/xXzv9VVUAXCkY6qEqK0ynAeByhHgnMJ+x1dfUGVsN388Rkddu97/zUeGWqdn0l2+8tsf6qNbwcZm7GbH9DVPkv8XpWgGn8/nsFq2Ks8okAHcjxDtBozO2ntSs+TA9j/0w1yrsdz/3rcIsUyMf5e7neqmmMdnHsJ9Lc3KXLqoC4FChUEhVVlJJVpkE4GqEePe67qQ3VdXYOx/5Zv+X3d/OfJny9MWpQ8eqprFRJ1q/NgDu4etiOxK/M64qAHAlQrx72QzGr93u/+V/BVXTPmY8/61cE2muOeEtDmkFEI5EVGUllUqpCgBciRDvapO8r1ouUyOWbevefjleEnyu5Szl9Yw6abtqACC3WDSqKgBwH0K8q53e4bOfdt6mmiyS4yVt53d+vDzbhKfCNgvS/7zLppMqDqsGgLuFI2FVAQAaI8S73fc7/TXXSjVC0vboRy7/017reS8tJc8jz5ZrFo0YdeJ2TvAEIM1ru0BNdCsj8QDcixAPz63erbkmx4t9tSeMXxae8fy32nIeKHns1Ke/I89jeV4ng+xLjMpxrC0AdwrZLhWfZIEaAC5GiIfm5102de/4qWqsrN3uv+bh70mUb+mo/Ka/fEMeJY/9/V++oTZZkb0I2ZdQDQDo7JeKr2apeAAuRoiH5qSKw/958os24/EGifLjl4Wvna+l+Wd35DwtlGyXW+U+cs8pT3/HZga84fud/vqfJ29UDQDUC/UoxHK3AFCOKurq6lSJsvWzqVMf+tWvjPqWs8+4pfsZRt0K81K9Xzr4TdU028XdPpHr1MGO73xkN2xm6ZoT3hrb+TXV2Hpo1wcP7f7AqG/5j//45YMPGjUAp4rH49cMHiKF1+uVQO/1+UKhHgHRNeDX/hMw7gYALkSId4J/HTBg83//t1E/ceG54ZM7G3XrSIj/zYFLPq+zPg1THp1Y8eUk79bw8XtV3xRziL/rzjun3XmnUQNwsFg0ar9gPAC4E9NpkOn7nf5a9bXnmpxa00bh4xPyUZqf4AG4EwkeACwR4mHh9A6f/efJG2ed/OJp7XDmVHlOeeb/7dvEaVkBAABahxCPnHoe++GiU35nvwBlixhL0Mhzshg8AABAWxDi0QRj6ZiFp/zumhPeat3AvDxKHivPIM9jc2IpAAAANBMhHs1yeofPxnZ+bdEpv5Msfqt3q4TyHsd+dGLFl+rmxmS73Cr3kXvK/eVR8lgmzwAAAOQLq9M4QX5Xp2mFvx352md1x51UcfifbM8Y1UasTgMAAGBgJB55INm957EftmuCBwAAQBohHgAAACgzhHgn2F9bqypHi9UeUJXHc+G3vqUqAAAA9yHEO8Gbb76pKo+n8BPii+Lkk09WFQAAgPsQ4gEAAIAyQ4gHAAAAygwhHgAAACgzhHgAAACgzBDiAQAAgDJDiAcAlJ94PB6LRh9ZvGTunKpEIqG2AoBrVNTV1akSZevYTp1U5fG80+8iVTnO9W+8+4f9aqn4Fzds6Ne3r1EDcLyN6zdIak8k9tYkEvGd8VQqpW7QzV+4cMCggaoBAHdgJB4AUOpWrVo5r6rq6VWrY9FYRoIXku9VBQCuQYgve/v371eV01Uf+EJVHk/3s89WFQAXCIV6qMpKMplUFQC4BiG+7L1hOl3rpY4+XWvqyFeq8njOJsQDbhIIBFRlpTq+U1UA4BqEeABAqQt0tQvxib0c2ArAdQjxAIBS57cdia+pqVEVALgGIR4AUOrsp9MIVpkE4DaEeABAGQgGg6qyUkOIB+AyhHgAQBnwdfGpygrT4gG4DSEeAFAGgrarTDKdBoDbEOIBAGXA57MbiY+zyiQAlyHEAwDKQCgUUpWVFOd7AuAyhPiy55IztppP13p2t26qAuAa9nPi4zvjqgIAdyDElz3zGVuDJ52gKsdJcrpWwN3CkYiqrKRSKVUBgDsQ4h3F17GDqgDAZeJxBuMBuAghHgBQHsKRsKqsMC0egKsQ4gEAThDdGlUVALgAIR4AUB7Ckd6qqhcMBsOR8A1jxtxaWTlg0EC1FQBcoKKurk6VKE8zZ826Z9Yso77l7DNu6X6GUTtMbP+Bf3vjXaPu+93v/tfGjUYNwD1i0Wh0azQgugb82n8C6gYAcB9G4gEA5SEciUyaXDlsxHApSPAAXI4QDwAAAJQZQjwAAABQZgjxKA/mM7Z252RPAADA3Qjx5W337t2bNm1SjccT7OzYM7amzGds7d5dVQAAAK5EiC9jb7zxxsWXXvr2O++o3uPxcsZWAAAAFyDElytJ8P86cGBtbe2HH36oNgEAAMAdCPFlaf/+/WPGjZMEr3oAAAC4CSG+/EiC/9eBA998803VAwAAwGUI8eVnytSp5gR/Ygf+EQEAANyF/Fdmxv70p48vXaoaj+eCzifIRTUAAABwB0J8OZn30EPmBO/t2GHphed2rKhQvWs8/vjjqgIAAHAlQnzZePyJJ6bcdptq6hO8z5VrSu7+/9u7H/goynvf45s/hARCQluoaCDgkVsggHjrH1AoiMV6gQtaKVUsFutfNMX+E+lFzinnlHJFarUiBezpOSIUOLenrcIVTltbCxIFi7emIGhLK0nA0qJtEv5DIPeXPA/Dk5nZ2f+bmcnn/dqXPs/u7OzsZpf9zrO/eaa29l8WLNAdAACAjocQHwzV1dV33XOP7rT63uCLQ3xqJ6c9R8+fsVV8c8GCzVu26A4AAEAHQ4gPADUlvO60enRA+fDuxar9ev0R1RAhjvWNxhlblSlTp9bX1+sOAABAR0KI9zvJqZJWzSnhZ/XtdXOvD+tOWx2qukZeE9uvEwA6uMbGxt27d+sOAIRaTnNzs27Cf5xTwn/6gg8vGliuO60+tvlN3YpEfj/mMt0KnenVe83fHCyPL1784KxZugOgw9i+bZv8d9trLf/dvu211v9ul/+WlZVtebVKGgAQboR4X/vk9ddveeUV3YlExvUo/d7gi3XnnA4Y4nsU5L9/qkm1xY7t24cNG6Y7AMKusbHxvw+9VHfc/LFmn24BQHhRTuNfd919t5ngBxYXPTqgzRh8h/WVfhfqViuK44EOpaSkRLei2L9/v24BQHgR4n3qXxYsMKeELyss6LATSjqVF3Wee0mZ7rTOOElxPNChDBo0SLfcHCDEA+gACPF+9NyqVd805kHvlp/3vcEXk+BNd/TuOa5Hqe5EIus3bHhqyRLdARB2JaVeg/G73+LYVgDhR4j3nc1btpjjyuqkTh1qSvg4PTqgvKywQHcika/Nnl1dXa07AEJtUMVg3XLT2NioWwAQXoR4f5EYOmXqVN1p9cglZSR4VyWtP1DoTiuK44EOwrssfvfut3QLAMKLEO8jNTU1n/zUp8wp4R8dUB5tSviO5sCJU7plTIcvuzcUxwMdUEVFhW65OcxIPIAOgBDvF/X19Te3PanTpy/4cMwEv92YOt2sLQkfM8SbP01QHA90QNTEAwAh3i9intQppnCHeA8UxwMdzfARI3TLzeHDh3ULAMKLEO8Ld919t5ngBxYXPdL/fJUIvFEcD8Bm924G4wGEHCG+/UmCN6eElwTPlPCJchbHf+2hh3QHQBgNHzFct9xQFg8g9Ajx7ey5VavMBN8tP28ZU8InxVYcL6+qvLa6A6CDoSweQOgR4tuTpEznlPAdtrQ9dY8OKJfXUHcika8+9BDF8UBYDR9xtW65Yap4AKFHiG83ki8lZepOq0UDypkSPhW24viGhoY777mH4nigA9q+7TXdAoCQIsS3D0nwzinhzWoQJGd49+JZfXvpTiTyu9/9juJ4IJRGXO01QQ0AhB4hvh3U19ffec89ZoKfUdaTkzqly6x+va7qXqw7FMcDHdL2bdt1CwBCihCfbZLgnVPCM6GkN/NMT2bVezTfG3wxxfFAuHlPFe89dw0AhEBOc3OzbiIrpkydun7DBt2JRK7qXrx6WH/dSdyz+w8t/OMB1XaeH+onB//29Xdqdactc6zaaXip162Dios8krTcmvbZdbbXH7m9eq9qx/mKmXcRl1566S9//vPu3bvrPoDgu6Rvv0GDBpWUlqiDXFWBzYBIflND45Hd7/S44briigGtCwJACBHisyrtU8Iv2XdwSc1B1Z7Vt9esfufLwcWct2t/+pe/6Y4/yFP2eL5lnQt6G5PzWE8niRAvzBdHfH769B/867/qDoDgO7H/vYM/ekEa9dt2WP+19PvyzH5fuV93ACB0CPHZ89SSJV+bPVt3WstCXh5ekeKgtXeIH7t9t1mIEjgvXD5ATdeTXIgX06v3vl5/RHcikR98//ufv/123QEQcPueWLbvyeW649DrM5MHPv5N3QGA0KEmPkueW7XKluBTHIOPSeJ7oBO82HPkuG4ly1kcX1NTozsAAq6w90W65ebE/vd0CwDCiJH4bKiurr5ieJujrKwx5hSZI/FlhQUvD69QbWEWxA8sLlp/+fna0MamMx75+LDnrWJ7w/mxbSdz5DtFM8p6qkN+kx6JF87i+Ddef113AARZ/bYdb95yl+44FJZdOOLV/9IdAAgdQnzGuU4Jn64JJQ+cODV2+/mzi5sVNWZBvJWG251Eat1yIzsA+0+csjbbyusvvd/wwFvv2q6Mn604ftYXv/idb39bdwAE1on9720bOV533Fxbw7RUAEKLcprMUhNKmgl+7iVlaZwSvqyw4NMXnF/bswcONTadUe09R8+Ppg/3nIsmm2RLPC6yB3JH7556UaOc5ikjgidBVjvQ+N1jydNPv7B+ve4ACCzvchpBRQ2AECPEZ5AzwUvgNkNqWjxoHMx6uOnMyv2HpCFR/m2jJCYtpTvZYW6qPJ0DJ049u/+Q+VzuKEvmBVzWtjj+rnvuoTgeCIHCsgt1yw0hHkCIEeIzaMrUqeZJncb1KLXN454WroPxZlG7LCAX3QmCq4zfDX5/9IRZCSM3ycuoO4mQV2DRgPMvvuxZ3Tx1qu4ACKzCPl6Fgifq9Gk0ACB8CPGZctfdd2955RXdaT209FEjRKaXczDePLr0Ks8zN/lQWefzuxzfqzkoz0h3IpFHLkm+sl/S/wxjFF/2r7760EO6AyCYvE/nxEg8gBAjxGeEpMP0ntTJW1lhway+53P8swcObfl7o+4EqpZGMc/3VH34mG61Hp6b4nN5pH8ZxfFAmOSXdNMtN4R4ACFGiE+/51atknSoO61Twi8aUJ7RKeHFjN49rZrvw01ndh/241GtcTLLaSzy7GynskoOxfFAmDASD6DDIsSn2Qvr10su1J1zJ3XKwli47CSYR3yeNmYODdxIvOsGP3JJWVp2hCiOB8Ikv7REt9wceett3QKA0CHEp1N1dbWZ4IVEz6xlaHMw3uI6qu1zEtZtT2RgcVEa5+WkOB4IDe+R+KbDaTv3HAD4DSE+bWpqajJ3Uqd42AbjlUFdAzYMr9j2fFI5ntUVxfFAOHjXxIsju9/RLQAIF0J8etTX1988daptSvhsJnhlVr9ettkkA1cQr5j7HgO7FmXiWTiL4+WPqDsAgqN4kOdgfONh3QKAcCHEp4E6qZM5Jbwk+ExMCR8Pc5oaEbiCeMUsf7+gcyfdSitncfwUiuOBAMov9RqMpyweQFgR4tPgaw89ZCb4gcVF7ZXghTkS3y0/zzYwHxRmKf/xs2d1K91sxfFbXnnlXxYs0B0AAdF9xBW65Wbf7j26BQDhQohP1V133+2cEl532oN5rtaADsMLc6p488RVaTerXy+zOP6bCxZs3rJFdwAEwZ/++EfdcvPBb8+PsABAmBDiU/LcqlVmgu+Wn7ds8MVpmQkxaWaIHx60c7VabD8gHDhxSrfSTf5YiwaUm8XxU6ZOpTgeCJB3O+frlquj5/9JBIAwIcQnTxK8c0r4di9fOXDyfN4N7ki8MAfI92csxAt5lczZbyiOB4KlS5cuuuWm9OAh3QKAcCHEJ6m6uto2ufj3Bl/sh9BsFp8EOsSbFTXmzwuZcHOvD3/6gvNTCVEcDwTIP0z8lG4BQEdCiE+GJHjnlPB+mMzRDLvBPapVMWeZPNx0RrcyxjZzPMXxQFB0K/E6aauo37ZDtwAgRAjxCauvr5/Sdkr4WX17ZX9KeFfhOKpVMfdAtjdk/LSLFMcDAVVRUfFOpEl33Bw9elS3ACBEcpqbm3UTcXBOCW9jzo3o5H2kqcRuM0TayK0xD5ldsu/gkpqDqj2jrOcj/dN8otNs2l5/5Pbqvaotr2p25vz5ycG/ff2dWt2JREZ/4hO//MUvdAeAXz37sY/3Oxn197r8z/zPUY9/S3cAICwI8YmZMnXq+g0bdMdPBrZG/D1HjluVJ48OKPfJ7wPJOXDi1Njtu3UnEvn9mMt0K8PmvF3707/8TXcikX+cN++f5s3THQC+9PjIT16+/33dcTg76frrnv627gBAWFBOk4C77r7bnwlevH3k+Ov1R8za8UAXxAvb9jdmvixecRbHV1dX6w4AXyr6iNeAxbHf7tQtAAgRRuLj9cL69U8tWVLf0OBRS+MrWRu6zpzJb7wjOye601a3/Dzvon/vyiXvqqeS/Lzp1XutPaK+5eU7Xn+9e/fuqgvAb37wta9f8p+bdMehoVfPG7e/pDsAEBaE+HSqr6+vjh7xY9/qOeK75ZVXdCsOZYUFLw+v0J3AkiSd0dO1xm/ypEk//tGPdAeAz7zw3adLv/N93XFzbQ2/pwEIG0J8SGzesuVnP//54m/rus+sHQmaUd/ae2DlAb+cqOXxxYsfnDVLdwD4yfZt247fcp/uuBm1c2t+STfdAYBQoCY+JMaMHl1YWKg7sYpJgiLmbDzZ9LXZsymOB/yprHfv4xGvAakju9/RLQAIC0biw+OT119vldwEfWoaxZzw0TbbY01Nzb6aGt1xSKVyyeOwB4rjAd9a0XfwgEi+7jj8w3cXlt80UXcAIBQI8eFx+VVXWelz1bD+fjiDbIrMqeKZsh2Ah+UDLh94Iuopn9pxqvjGxsbtr20be/XV1PMASC/KacLDHD8O+ulanWqij7sDwNEeXj+Rnfr7+XNsZ43E9+8+8eSdw0d1fvL71PMASDtCfEjYMq6vqsmTZv6YUFN7/kSqAGCT3+ujuuXm2Dt/0K2sUPF92oiRhU9+/4vHcj5aMbD7iCv0bQCQJoT4kDALxL0nQQeA8Cnu11e33HykMEs/Tqr4ftOIkUefXDH7aO6ASH5ecdf+33hY3wwA6UOID4n6+nrdCpduxk8KVNQAiOa6W6fqlpuTe9/VrYwx4/s/Hc29JqLPOT3oOwuohgeQCYT4kDAnYwnH/JKKWdzvMR0NgA7u4isv160omhoP61YG/PhH/+mM76L7iCt63HCd7gBAWhHiAQBhUFh2oW65ydChpRLfJw+/+p2H/tEW35WBj39TtwAg3QjxIbF582bdikTKCu1fJAAQeoV9ynTLzYm6A7qVJhLfPzXimqqH5n314DFnfBf9vjyzsPdFugMA6UaID6EwhfiyzuefCydMBeDBOzGf2P+ebqXMiu9f+fORyZHO+tq2Ci7q1fuu6boDABlAiIev9TZ2SOob2mGmZwBBkYUQb4vvRZEcfYPDx+bP4XhWABlFiA8JAi6ADi6jIX77tm1Trr8hnvguOJ4VQBYQ4kPCPF2reY4kAOggMlQTL/H9tltu+Y9b7rj793+OGd+Vfl+5X7cAIGMI8QCANPjFz34ul/379+t+1hVXDNAtNycO/Fm34qbi+9JbPj9l2+4447vo9ZnJnJ8VQBYQ4kPi0ksv1S354qk/olsAkC3Drx7x+9nfeHHkDd8YcuU/Trll5dJlEoL1bVkRswY9/ooaM77fGSn6SCLflQzDA8gOQnxI9Ot7/pTjL70fnvr4xqYzugXA30pKSm7f+rOm0pKxh099csfbfR9b/vtb7l7Yd9D86/7Hd7701ewM0hcP8hyMjyPEpxLfBdNKAsgaQnxIjBk9WrcikZ/85W+hyb4vfXB+h8R8jgB8SHJ85e9e299Xn3SpTyTvmkjBtX/888ef/2XTvQ+pQfpHP3/nyqXLdu/erZZJr/xSr8H4I2+9rVtuZB/jvnvuSTq+i7zirkwrCSBrcpqbm3UTQVZfX9+zVy/diUQ+fcGHFw0s153A2l5/5PbqvboTiRw6eLB79+66A8DHvj/+0/9t9590x01d5IxcTl3S96IRV108ZtTwq0fIDoC+LQV7//mx/f/2Q91x6Pflma61LhLfv/vEE2/95wvTIoWy46GvTVy09QNAJhDiw+OrDz205OmndScSeXRA+c29Pqw7wTT5jXfePnJctUd/4hO//MUvVBuA/313yrRhO+Iabj8eaa6NnHmvW5eijw+9oDXQV1RU6NsStO+JZfueXK47Dj0+NXbI95/UnVZWfL8x0nlAJF9fm5S84q5Xv/Yz5oYHkDWE+PCor6/vP2BAgzFhfKBz/Jy3a3/6l7/pTiTy0s9/TjkNECzx53hTXeTMO5Gm/Ev6SaD/+A3jBlVUxD9I//7PfrXr3q/ojkP3EVdc9h8/UO00xneFYXgAWUaID4kz+/acePabm7e8cuOrh/RVrWb17TWr3/kym6CwJXiG4YGASi7HW45Hmt+ONB3v8eHcwR/7b5MmDBpc4T1IX79tx5u33KU7Dvndikftqkp7fBfBHYZfvGjRimUuv128Uf1maWmp7gDwJUJ8GJx88d9PrPyWaq+tOzrrt39XbeWq7sWLBpSXFRbovr81Np35+ju15gQ78kXyxuuv9zWm3wEQICnmeFNd5MyfCnKb+1zkMUj/677DdMtN9Ze/8PyTS26NFKYrvivBHYZft2btvLlzdcewcvXqkaNG6g4AXyLEB1vz0cYTzy44tfknut/KmeO75efdUdbT/0Py2+uPSII/cOKU7rfasX37sGFe38oAfC6NOd5iG6QffvWI3r17y/UxQnykaVha47sIdDV81daqGdNdZtSZPWfOfffP1B0AvkSIDzBJ8Efnf+5MzR7dN0iOf2RXQ+Pps7rfqqywYFbfXv6skpfg/tS+g2YJjSjplPvM//rSlLn/W/cBBNbT100Y8scDupMBapC+8GOXDDnU0PUvH+hrsyLQ1fB1tbVjR4/RHYMkeMnxugPAl5gnPqjO7Ntz5OFJrgleTOvTdf01PQeXdNL9VhKUv/5O7djtu5fsO+ifieRlq+a83bJVtgTfpyhPnsK4N3906tc/1lcBCKzPP7/urdIuupMBfSJ5Y07lDN/1pywn+LDODW/OkQDAnwjxgSQJ/uj8284e8hrWGlLaafO1Fzw8oKSkU5u/soTmJTUHr6ja+cBb7/7kYLudFkoeVx59evVeZ3wX43sV/fraC+QpSPv49+aQ44GgU+dzzWiObxd97r6daSUBtAvKaYJHJfjmY4d1P5a/fLzX/37pwOqtf9Z9h3E9Sq8qLb6+R2kWDn6VXYjt9Ude+qDBPHTV1Kco71tDu0/oVaT75xQ9sKjg2im6AyCYGhsb/2342MuONel+wIVgbvho5TTUxAP+R4gPGI86eFedKj7SadBHpFHz/olv/fRdjygvJMQPKi4a1LXoqu7F0ijJT/7MhSZJ7Sq7v97Q0tDXOpR0yp35D8UPD4g6IXSX2cs6XXm97gAIprd+s+PNz95V1uaAnaDqfefn+n/jYd0JpmghfsnSpeMnTtAdAL5EiA+SRBN8bvfOhZ9sMzOjRPnVr/x51dY/175/Ql8VXbf8PInyZZ0LehcWqLa63jXf7zlyXFXmHG46I21pbG84ItdYp1z1UN6jULL7+JL80raVPzY5Xbp1nb8mr98g3QcQTKHJ8SOqNhX2vkh3gmnTixtnVVbqjoF54gH/I8QHyfGlD9tmk/RWOLpPbk97XYqy4Y1DG/7f++vfONR4vN1+1y4pyp98ec8v3tDn0vLisw0nT7xUo2+ITnJ88eINuT1bJpIDEFw/XfGvhQufKork6H4A9frM5IGPf1N3AmvFsuWLFy3SnXPGT5ywZOlS3QHgV4T4wDDP6BSPvIuKO18de4hoy9t/f2VP/fr/d2hn7RF9VYYNLS8ePfBDky7vIf/VV7U6VX2oaW+b6e1d5fUd1HX+D3O6xnsadgD+9MJ3ny74zjPBzfFXbPo/xRUDdCewbpo0edfOnbpzzvMb1g8ZOlR3APgVIT4Y1ISSuhOfwnF9c0s76058VKCvfu94zdGcnW95Vc8npKQof1jfluB+qcT3QR8q7eJ+ppXm02dPbPqT/Ff3oysYc3NR5WO6AyCwHp/2+ctfrdadQOk+4orL/uMHuhNYrmd6YoZ4ICgI8QHQfLRRErz3hJI2eT27dB6dfM3J2Sv+e/MFH/3drvcaGk68UvVHueZ3O1va6tatr/5JNUzlfT4kF9W+dHCvDx36c3mPwr49C4eVd4uW2p1O7TjYVNOoO54KZzzSeeIXdAdAYC2a+Onhu1z+SfG5Ic880eOG63QnsJzD8CNHjVy5erXuACmTHUV5j+3atXPTixv1Va36lJffOm3akKFD5S2nr0LiCPEBcOLZBSc3Pqs78Sm4old+3xQKToqKzoy+JpKf5MnJc96tyd39tu4kIs7KeEFxPBAOjY2Nq0bdMLjhmO4HQWHZhSNe/S/dCSxnNbwkqpWrV3E8K1JXV1u78cWNzsMtnORdN3vOHKJ8cgjxftf01vaj//w53Ylb0eT+OZ4zvcTUfHHfsxUDdSchTU15W16NHI89KY2r45vebT52Wnc85Vdc1XX+Gt0BEFj79+//r9ET+/vlLNKxDfz2v/SaeqPupMm6NWvnzZ2rO3FwDpnHuQa5lwpMM6ZPr9papa4UjMEjXWZVVtrG3WNiStPkcMZWvzvx7ALdiltezy4pJniR825Nzgf2E6nGQ+6YdIIXeRcV61YsTbtf50yuQAj07t17yPefqIsEI8XnFXcNQSGNkMhuHb163/0zSfBIl107d+nWObfeNu2N6jf37ntX/usa1mX/s662VncQN0K8r0lIjX9WeEu0aSUTlfvGbxON4zmNh3N/v1d3kpLbPYGDcWUPp/loXDX0APxsxCevK/nqzOORAPwyfOFnb8rEKVol5SxZurRPebnuRyfJe8HChc7MLWt4fsN6j7IEWbk8hLnAytWrpCtXciQrMkfemfKOVWVa8l95v1l7j5aGhoaNCQ7eQxDife3kj57SrUTk9eiiWyk63ZS747eRprgnkm9qyt32um4nK7dLJ92KQ/Oxw4keLQDAn2780herx1yhOz7W+y77dC7pMn7ihOdilaTLrZK8JRXpflutRe2rXfcE5EqJ+LZB0Na1raaMARl138yZunXO+Akub7lXq7bqFuJGiPevU7/+cUIz0mRCy8h6tX0KYXeS4F97XXK/7iYrJ5GReHHqxX9nMB4Ih68/928vX+Droyq7j7gio6dolajtPSg+ZOgQ75Qvbp3mEvGtoVAgm2TH0rlX6RyJF7W1dbqFuBHi/Su5YXiRrnIaJefgX3Or7fVtNpL18361Wf6r+ylItJqfwXggTL720v99vZN/i2p635nwNAOJGj9xgkfabmiIPWbhvLus06PMBkivl7ds3rvvXXV5fsN6fa2hvLyPbiE1hHifOv2bX7T7MLwlZ/+BnP3v6Y5Dzl/+2lJFk/IYfNJOc3grEBYlJSWjVzzpz4NcC8suzMIhrRLBo1XLCOfZVZ0aGhp065yHKXmHnzjfomLI0CG6hbgR4n3Kb8E0t3qn60B77u63W+rm05fg4zljq43s7cg+j+4ACLgRn7wu997bfXiQa9qnlYzGtWLYEjPHNza2SUiyS+BaJQ+0lzq3ypkhQ1xqbOCNEO9HzUcbT//mJd1JXBI5OB45juL43OpdLRNKplVz/UndSkTT64R4IDw+98icHZd9THd8I2sh3rWM2LJpY4xJPNatWatbrcZPmKhbgD/s2uWyI+rxAxSiIcT7UYrjysnl4JhyGg/n/OGPuqMS/P70F/ycje9MTzaMxAMh86VV//ZacQJzVWVaj0+NzeghrTauB6cq3jPxVW2tMmsVRo4aSTU8/MY8y5gye84cDrxOAiHej5pSi6TJ5eB45L67T804mbv77UwkeHE2qT2Q5mOHz+xLeEJ9AL5VUlJy44+e809xfK/PTNatrPBI3nW1tR4VNevWtjmP9b0z79ctwB8kwdvewEOGDr3vfvs0lIgHId6Pmt7arltJSS4Hx+V0U07dgZwP/pb2KhrL2feP6VaCmt7aplsAQqGioiLy4N1+KI7P71ac5bO0SqxxnYZPiVZRI/nePN29rIFh+OCSpLti2fLLh13Wv9/F6jJjeqbOUZBNzyxfplutSltO//S07iBBhHjfObNvT/OxlOZqTDoHxyPnL381i2rSq/nY6aT3QM4yEg+Ezu1f+7IfiuOzVg1v8ji8NVpFje16j5oc+NziRYtumjRZ/us6kUsSxo4eY+0MJHGR/UO9otTITqatlmbl6lUceJ00QrzvnNm3W7eSJTlY0rDupFvLMPwHf9OddGuqSf60TWcP7dctACHih+L4zJ2l1cOE6CdSjVZR88zy5brVet4ojhQMqBXLlstFtWfPmbN337tmtYk1Nj9v7lx9VUDIDoltm1euXu3xixNiIsT7Tlqmh08lDbejpn2phHi/TKsPII3avTi+eNCAbB7SapEU7lEM46yoWbdmrTlqyzB8cJk7Yyq+qygvkVfa6Rqbzz5J8ObGL1i4kHKvFBHifedMOmq7Y6bhU9WHzh46rjv+IDseqfyAQIgHwqqiouLInbe2V3F877syfpbWaK4ZOUq3HJwVNevWnp9Z0vuMUfCzXTt3WknXOWGLxzHNPrfpxY3mARuyW8JbNHWE+HCSNOwxGH9qx8GmvX/XnSw62+BV53N69we6BQBt3f+Nea98rLfuZFeWD2k1eaQcW0WNbcaPe2fOZMK+gDJPhFTi+CM6J2cMBNkteWzRIt2JRMZPnMB0NGmR09zsu7PidXBHZk86U5OGYzRzunQqGn+x7hhOVR9SCb5wdJ/cnkXqyuw4uWX/mUPH8vt/qGBYT33VOaf3fJB6iC/9P3t1C0Do7N+/f821E646naP7WdHrM5MHPv5N3WkPsyorzfFLk8Sg2XPmqPa8uXPNczy9vGVz2g8WlN2GjS9uXLd2re0YR9mGkaNGDhk6VK4fO3qMvraVZLUlS5dK7ly3do31LNQQrOs+hnqIV+UO56KqLCY7JB6Bb8Wy5bt27TRfopaDAaZNU5ukr2olS27auNHa1ZFbx0+IGiVlMdmGZ5Yvb1OhdNu0Pn3K1V3692vz9SoPKq+585la64/zqcnDPVhZaS1jkaezcvVquV5uNTfJohbQHf+RF3/xuRAvT/xXWzazk5kWhHjfafhsf91KWaeKj3Qa9BHdaXX20PETW/RefvZDvJXU8/uWFFzRS10pmo+dPr7pXd1JASEeCLdf/PSFxi/P+0gWf0Me8swT7TgSLySaRzt+UQVHaUiqu3zYZepKIVlzwcKFupMmHpsh5OHUjwaSfWdVftFK+ZJQa9vOeqnIlj+/Yb0Z42QZib/O8KpI4Jbldecc22PZWJskPLKvrHnl6lW2QClx0zqu1MZ8zWdMv93aJZAMXVJaanumKsTH/9Sce0EWWf81I0dZOdjJ5yFe3p/W62/u2yBFlNOEWdMf/n62oc2MjSd3HNQtCfQZm8EmGqsKv6mm0aznOfnae7oFANFd/+kbd4+7WncyL/vTwzuNnzgh2pilZD4VIs0xeHHfzDQnJHkgK8GrFLt337tysVKyRSKpOamOROG62joJqdZBmYqs0MyjEnBnnRt+luerVi5RT90q5Gna8rGsQTK0/Ffa8vrIym0PYZH7zpg+XSVI2Ty18dbK5VZbMjYTvLUxEpHVNRZ5UPPQYdl4eaay8jeq35SXSF+b4FOTO8qt5rNQ16grJfhKw3zNpa1uVQvoa/1HnqO5B+V8MZE0Qrzv5PYs062UNZ8+e8pI7af3fGCWpKdyFGnqrOIZ2aq0nJ0qja8bAN/60hPffrlbge5kWLsneCFh8ZpYc9SYh7RKQjJDZFqYB9FKcrXW7zq7SEnJ+V2O1ni9SqKztGVJM7xKcnUOjcualyxdqtqSWdUdlV27zlf8C3OeE1mt2gz5r3N7zIwuS6qNN1cuu0BqZ0BI2rYSvLkxrie+tb3OS5Y+LdfIU3bdiYr/qYVPQ0ObI/TkJdItpIwQ7zvpDaOSj1WOl0Df9Ic2B7M2nzqrW9ly9qixC3H67Jn3jsglXcezEuKBjqCkpGTCvy7JzoyT7TI9vNOECRN1y6GlSN3IoMI1bqaRrSZeDYE7h+SVIUOHmInNTNgSwV91VJjYpsaXu+tW6/K61ToMr8a2lfHGvdT2WJu0q7W0Xd0kW2JugNm29lI2bXxRNYS5MbKwWq2qpXGSlVuZ3hogN4tG4nxqoWS9eupi2/lBKgjx4ddSu1LTeLr6r5Kb9VWtmttW2mRa87HTtrH/pr315g8FKcrrV6FbAEJt+IgRBz/7PzM942Rh2YXFFQN0p115V9SsMOYUl7RkZtN0kQBqbYA84tjRY+bNnWurb4mHLb3VntsZsEKeOVTvwfxlQA1+646DmfXN3CzMXwyssXDzSfXpk0DWdE4joyT61DLHJ2dsRXoR4n0nt2f6p1FrmVPSMePk2foTupUVZxzT0p85dMy2X5GKHEbigQ5j9uJHt13QXXcyww+1NBZzsNnGTFfjo4/Zp0KC8lPnSkGUdWvWzqqslFxopuSYPNJ2Qurqzj9l73WaS8qmmqnULLNRszrKK2kOiqdra4HMIcT7Ts5Hkw/xOV26yUV3YpEAnc2y+DMZPols/uARugWgA7jl2eXvRJp0JwN6Tb1Rt3wgnnQuUTtaWUvqRo4a+Ub1m2Z9iJDUO2P6dNthtamQFa5Ytlwulw+7THJ2PGsuLS3RrRS4FrREG1xPThJPDYiJEO87+RXDdStBeX0HdZ2/Jq/fIN2Pg3N0PEPOHjp+5tAx3ckA2XVJ6IkDCLqKioqzd07LUFGNf2ppFMnQMQeG0z4pjY1swOw5c5xRft7cueavAcmp2lp106TJY0ePWbxokVwyUSZuzuViu0SrdE+LLDw1P5PdFevXD+uS0A848ECI9538wcmEeEmxXef/UILs2UMH9FVxOPPeEd3KsNN7Mns21k5XXq9bADqM+78xL0NFNb6qpVG8R9klYXuU3KSRivK2Wd7NInUPtvxafq5EftOLG2dMn76rdbpMa1dBsnW0OnLzoWuN85s6mUvGTM+2offU90xEok8NSAgh3o/yK67Srfi0Jvg1OV1bflVMNMSnsSo9mqaaxowOw4v8qwjxQEd0y7PLfxtJf1mgr2pplPETvDL6vTNnmoE104YMHRpP6Y5tbkFbLLaONDVPyC+7B/fdr59LY6N77B4y5Pz8jLJOj3RuLumcDMdGHtSc+dGsp09aok8tc6zZ/ZO7MKWMPxHi/Sg/wXHlwjvmJV1MYp50KRPONpw8Xf1X3ckM2YdhJB7omCoqKgrvvC29RTV+q6VRJF96BKnMVcMLNbFJEmXctoTtOp+9LGOFe7nGfI7RBvivaVtcZNswWdusykrVNpeULXE+haqtVTOmn59I1NxTkoVtuwcrli03p69pjDW0n8RTi8l84rt27tItdFSEeD/qlMi4cqcrxxVcO0V3Etf0h79nbjBe1nxqx8FMD/an8vQBBF3ai2p8WEujmKcINUmCN7NdhsybO9cKwbt27rTa8tC2SdAtEoKtszLJ8maGtupJJNpaGy+RV6VkuYsEcSsBCzNPy/L3GgcALF60yFqzNG6aNFlWotZjW1I2RoK4assK5Y6S4CXHWyXa8kpaUVsWePDcNsh/ZXtkeXNCT3OTzE21JPHUhHmTc7XmbwvyV1CFOrJma78FHQoh3o9ye/aOs6Imp0u3ogce052kSMLO0GC8rPnklrr4z8YqT1meju4komDiHboFoENK70w1PqylUUZGmQM+04e0WiQEqwMTJShb0XPBwoXmGLON5Es1H4vcV1/VcnLTpWbhivkzgoRRWVjuUldbt3L1an1tazGMCqzKfffPNO9lbZh6FFm/dYSALGkeiStBXC0pDyGBXjbj+Q3rrRdWMveSpU9byVvCvfoVQv4rT0TWuXL1KnWTPH3zhwVh7R6YEn1qMVcr22C+dPKHkHXKmhvlnm13BtAREOJ9qlN8o8sFE7+gSuFTcXr3B2fTfeKnRBO80m3p5ry+idUFdbpyXCZm1gcQIBUVFY2fnZSWohp/1tIokt7MAKdIqvPI0Glx67Rps+fMsT20JF258uUtmz0OqJUNM7ct2l3kSnNPQBpyjWRrube6RkhClcBqzmoid5GwbqZkdcdfua1fQrMZ5YUsI2uQR7E9L+nKGuQu5pbLo8hjycXK9w9WVpo7FaJlnN6R4xN9avGsVnYkzOcieyCyYfIErW1Dx5HT3JzZk94haYcrx3gfpZrbs0xSr+6c0/DZ/rqViJwunQrH9c3plJ6duuZjp0++9l6iCT6nS7eSZ38rjeNLHz61+Sfqypi6fuOHyc3nAyBMGhsbvzVq3PiUxyN63/m5/t94WHeQOEmckjtVW/KlOeQMIL0YifevzlMf1K0oYi4Qv5bYvaUuLcXrZxtOnnipJtEEL5qPHVaNosrH4hyP73TlOBI8AFFSUnLzM0+lXlTj21oaALAhxPtXwbVTcnuW6Y6D3JTeAzoldp+u/muKOb6pplESfNIraXpru2p0nf/DeOrjC++Yp1sAOrzhI0a8e/VlupOU/G7Fvq2lAQAbQryveYTUNA7DWySCpzIef2rHQbnoTmpyupYUVcY4YFdeAarhAZjmPrPsvwqSrxH17bw0AWLOgG6bJx5AehHifa3Tldd3unKc7hgyNzP62fqTLQekJlhXKrn/xC9rZB9A99NBnqDHFD25Pcs6T2BSGgBtlJSUDPry/R9EkhyJ6PGpsbqFpNTV1pozoO/audM8FBVAehHi/a7wjnnOwhKPSWmSm6XR1JLjN9fFn8hbiuA3/SmJIviYCu/4R91yKHrgsdSn5QEQPjMq73+top/uJIiR+BSNHT3GNrX5jOnTzenhAaQRId7vcnv2dhaWFFx7s245JH3qVlNz60ma4jlPU0sFzub0HBHrJM/FdTC+84Q7OJ4VQDR3Pr7ot5HTuhM3huFTZztXv7qYs0ACSCNCfAB0uvL6gjHnU3vWZkZXR6l6lNbIApk+Iatzvvy8voMycTwAgNCoqKg4MX1KotPGE+IBBAshPhgK75hnzbqY71kNnzd4hG6lQ8vUk1FKa1SC1500yf2ofTaegmunmAVC0i6qpJAGQAyVc2b/urRQd+LT/eordQsAgoAQHwwSW7s8vEwirFy8Z5ZMvSbeRpXW2HL82UPH057ghesvDGblTMvOTDrqhQCEW0lJybjFC+oiZ3Q/luJBAwp7X6Q7ABAEhPjAkIDbdf6amHPD5/Wr0K20MnO8xPqTr3mdSjY50eaiyavQIb5gzM3pnRofQIhdf8Onqisu1p1Yul99hW4BQEAQ4oMkr9+gmKc3ytwRn5LjVX28NDJRBx+tEEjtlkjEjzlzPACY7nx80auRU7rjiXlpAAQOIT6ErOr5tFM5/sx7R3Q/raLNfC+7JfKMusxervsAEJ+Kioqc6Z+JeYRrfrfi7iMYiQcQMIT4EMrcYLyaQl530iq3Z5lHsXvX+T/kYFYASaicM3tzgW5HwyGtAIKIEB9C3tPXpChDE0p6zxpJggeQnJKSkisX/pP3OVwZhgcQRIT4EMofPDztc9RklGxttFoaAEjRlKmfealvT91xQ0E8gCAixIdTsGZxKbxjHmPtADLnjscWvhNp0p22CssuZHJJAEFEiA+ngol36Jbv5fUdxMSRADJq+IgR73zict1pi4J4AAFFiA+n3J69o0277jdMHAkgC7766MKXIi2T5NpQEA8goAjxodV56pd0y8eKHljEGVgBZEHv3r27Tp/qnG6SgngAAUWID638wcM7XTlOd3yJM7ACyCbndJPFgwbklwRpGgAAsBDiw6zlgFG/TlPDGVgBZFlJScmFD9xpTjfZ/WpqaQAEFSE+zHJ79vaef729cAZWAO3iC3fdueVDRbpDQTyAICPEh1zniV/w2xGukuA5AyuAdlFSUjL6kYfrImdUl6lpAAQXIT78usxeLrlZd9qb7FGQ4AG0o5ZzP/UolkZh2YUUxAMILkJ8+EliLqp8zA/F8QVjbu46fw0JHkD7mvz1hz7o+SGG4QEEWk5zs32+LYTSmX17js6/rfnYYd3Pus5THyz0ZYE+gA7ozXX/2SuvU6+pN+o+AAQNIb4Daa8cn9OlW1HlY52uvF73AQAAkBpCfMfSfLTx6PzPnanZo/uZl9d3kCR4zugEAACQRoT4Dkdy/IlnF5za/BPdz6SCMTe3zFVPETwAAEBaEeI7qFO//rFE+YyW1hTOeKTzxC/oDgAAANKHEN9xnT20//jSh5t2v6776ZPbs6xlXktKaAAAADKDEN/RnXzx30/+6Kk0Dsl3unJc0QOPUUIDAACQOYR4pHNInhIaAACALCDEQzv9m19IlE96SD6nS7cus5fnDx6u+wAAAMgYQjzOaz7aePx7D5/+zUu6HzfmkQQAAMgmQjzsEh2SlwTfdf4PKYIHAADIGkI8XMQ/JF8w5uaiysd0BwAAAFlBiEdUJ1/89xMrv6U7bkjwAAAA7YIQDy8epTX5FVd1nb9GdwAAAJBFhHjEcGbfnqPzb7PleOrgAQAA2lGu/j8QRV4/yettRtxzunQrquR0TgAAAO2GEI/YJMcXPbBIdyKRzlMfZDZJAACAdkSIR1wKrp1SMOZmaeT2LOOcrAAAAO2LEI94Fd4xL6dLt85TH9R9AAAAtBMObEUCmt7anj94uO4AAACgnRDiAQAAgIChnAYAAAAIGEI8AAAAEDCEeAAAACBgCPEAAABAwBDiAQAAgIAhxAMAAAABQ4gHAAAAAoYQDwAAAAQMIR4AAAAIGEI8AAAAEDCEeAAAACBgCPEAAABAwBDiAQAAgIAhxAMAAAABQ4gHAAAAAoYQDwAAAAQMIR4AAAAIGEI8AAAAEDCEeAAAACBgCPEAAABAwBDiAQAAgIDJaW5u1k0AITVv7tx1a9bqjsPLWzb3KS/XnY6hrrZ27OgxuhOJjJ84YcnSpboDAEAQMBKPwJN4evmwy/r3u1guM6ZP19emLEOrdaraWrVi2XK5qMeyXdRNelGkycYXN+pWqwkTJuoWAAABwUg8AmzTixtXLF++a+dO3Y9Ebr1t2oKFC3UnWRlarY3sJFRVbZXH0v1Y7rt/5uw5c3QncbKrsHjRIvNJWTrgSPzY0WPqamtVW567vAKqDQBAUOSs/eGaeXPn6l4cRo4auXL1at1pJVkknjXIveS+ugOkRsKoRFIJprp/ToppO0OrtVmxbLk8iu4kYsjQoUuWPp104JZnd9Okybpj6GghXv6+5k8rsmskO0i6AwBAQFBOg4Cpq62dVVkpYdQZtVORodW6WrfWpTxdouTefe+qi7RLS0v1DQZJ4QntctvIPoDrajuaTRtf1K1WEyZO0C0AAIIj99bbpi1ZujSecThJAAsWLrQNwwtZw/Mb1nuMssvK5SEYhkeKGhoaFi9aNHb0mPhLUOKRodXGT4K1fILMwWBpr1y9yjVwyz5GKrsZJR0+xMuf2/xDy79LHepXCABAaLSMxI+fOOG5KInBIrdKqpC8rvttSb6XcO/6XShXSkCRh9B9ICkrli2/fNhlaT/EM0OrTcjsOXPkE6Q758g19850r/F4tWqrbiFxkuAlx+uO/OvHIa0AgGDS5TQStb2PmRsydEjMH+JvneYS8RcsXBjzjoCHdWvWjh09Jrkicg8ZWm2i5NMRbd842o9XWSj4CTGzlklefMYXAAABdb4mXr7MPNJ2Q0OjbkXnvLuskyoapGjF8uXWRCJC9jaf37Dee58zHhlabaI8QmS0EnZzIBkJ2bVzp1x0J9Y/egAA+Nn5EC9fZtFGBIX5zReNM1s8nPVIhPC571xVibw/36h+8777Z0q6lf+mGL8ytNp4vLxls3UMq/ekN64l7OTOpG3a2OawB9cfDwEACIQ2s9OMn+D1y3LMHN/Y2CbESzbiiDGkTt5II1snNrWVZqV4jGaGVptejW6D7n3K++hWZqyIctop82JN0Vi1tcp2k3kxDzaoq61VRyBYt86qrIx2MLEsKQ9hLSkXucb85SQ564zT1so+m1x0x5P80yePLltrbo91ke2UW+VirhwAgExrE+LlK80jdtsGsZxs32EcMYZ0ydBJBjK02nRpaKU7hpEjR+mW71l7R/PmzlVHIJjPSBK8JGO56H4r2StQS9pK/9UMQqkEZcchrbGr4eUu8qA3TZosjx5tf0O2U25tWaDtzJUAAGRUmxAvPH5ftp2o3Ea+ycwvSMlGfo5HgP+96nYAq8TiTB+L2TrBpftkU0KuN6ealY/5y1s2R9skWbiutlZCsEf4lnAsCVi1pTFj+nSPEXfZGYintM/VxrYh+9bo1YOKPJbsYKQ+/A8AQCbYQ7xH8pYvM4+vz3Vr1+hWq3tn3q9bAJJS5TaV5Ow57ueBSi/5d8B1f16Cr0R2W/yVpL5k6VLX0hT5R+Pz02+PGbtVqYwkZmnoq6JbsTyZ+UBl/eZQesxDWmV3wrnjIbs31sEMztcBAIBssod47zrRaBU1ti9IWQPD8P6hKnrNWmTznPPwp4a25yRSJHq2Y3BcsHChx2G4rh/5eXPnyj8OctPK1atV9pUcrG9r66ZJk9Xzlb0UteTzG9a7/hogi7lWGXmz/ZA4wbPYT9bv3J2QDTMnL1K/SGR/OiMAABR7iBcepaLRKmps1zPng38sXrRIVfQmkXucxo4eY+0JJHGRPKdXhFicfzKVGnUn82x77JLCvfcfSkrcB7Zlx8M89kBSr2vclydb2vbMtUNaTxGt2ja7du7SrbglND28a/GP6+iGbK3HqAcAAJnjEuInRP96kxDm+sv4M8YP3BI1+JXZJ1a0Tpqh2mqA0xwHtcbm582dq6+CP8inzJYjJXcuWfp0FgppFHnbWJ90la2T+21N7usM4rdOu0232pK3qC0Qy4O6RuRE9wartlaZd4l2Klxv0YqC5MVRPx1YxwkAAJAFLiFeUrjHF7azokbShjlkyDC8f5g7Vyq+qyiv0kZaxuaRCbMqv6hb5zwVpeg8EyTBLz53pKn8ayAhNemHlv15545HtCkyXUfHXRdO9K1rmzfGY5zCw7q1a/kpCQDgHy4hXlwTfQ47Z0WN7XdqhuF9YtfOnVbWcQapaMOKaHcSoG1h0SxHyTR5dCvBS3aPVpgeJ9caG+e7UXG9PtrC8ZNPgXl0gbySMZ+R66stf5Sxo8c4a+UBAGgX7iHeI4jLN5mZ/6q2Vpnde2fOTP1LF2lRV1unW24nMLJNwg2fWLdmrS0mZi3Bywf5pkmTzUfvU94nEx/nhPYK+vRJfhdCsR0IG8/5K2TvJdprLns4qgKNTxAAoH25h3j55vY48MusqEnid2rZDZCg4DxEUq5U+wOygO0mdToY+daUhnWlLB/tV3WVhKwl5SJ39P7SleXNlctFjbrZRqxlJepb3LpI17aMSW6SlZgzw8hFEoBcKbfaNlIuqhLadpfWNWnq1TNPZilLqrWZ5JUxJ/20XlI1L408C7PSRh7UWpv3xDUvb9msyn+Tu6QyptsRyLvFdnxCdhK8+jBKgre9kyX+qjdkoJn/Rnn/y2ZasHChx9tVXhb5pMiFKA8AaC/uIV54nBXSqqhpSYrGd/ytt02LmdJkeUkMEnwlVuqrzmlNwy2TTshKbD/il5eXS8KWr0zzZ3FZXmKHmeOlrWKxJCG5VV/bSu5ou7tFgovaJNutsoXWJilqG2yJWbqyGa5ZR22h/Ne2syELqxqk++6faTvsT5aUUO68i1BPQW2qGR1kSfVAut+65bKSaPFC7QM414/2JX81Wyl8NqtoopG3lvOjGiDy6TY/CJLg4/xtQf79eW71Ku+DAWTN8lGSfxb4NAEAsi9qiPf4tpMvdTViZ0uu98Wa80HuaA00ynekNazrrN6R705zUF9yZ11tnZoFQh2UqcgKJWToTiTyYGWl6sqWy2KysDyEuTPgPE2MrGHG9NtVTLHuZT6ERb6qrZSvDg+VlVvf8fK81EossiVW3JcXU5aXizOT2fZ85F73zmw5oYw8hL6qlcQF2QAVR6y1mcvIX8TaPFmh3Go+C3WNulL2HKRhvubSVreqBfS1yCJJgZLgzbeQ/CGyluDVJ9H1Ty8b9ljb/eFgsR2IH08tjUU+NfJvju2T6CSfO9mFtn38AQDItKghXhLtNdEzhPpqNA9plcBhhlFX5kGxt047H14XLFzozCvmIXGt8VqPismS5teqfIM6h8FkAbVCeYiH2yZd28ISvq1rrHvJf23bI+nZishyk5rpRVZu7reYewiyvJXgZbElS5eqtuuJbMuN+TckT6uVy39dX09zbbKMOVK4a1fUqh74nLwP1Y6xks0Eb5FHtN5aJnnnu/7QFAjmlstnJ4lXVe30yj8O0QY1hCR454RCAABkVNQQLzxOaihxXL4dzcEn13jqwTZfm6QW+aZ0DskrQ4YOMb9BzW9iieCvOupGzLJXua9utWo0QrxsgBrbVsx7qe2xNsmsLzen7jH3c6yUL8wyXPMnBdlytdqXt2zWV7VlHsZn/VKh+61sRx2Yz865M4NAkP09880jSTr7CV6Rj4D5KbAEtKjGtoefyuy3EuXfqH7To1Be9sGCu6sDAAgirxAvX+fRBp/kG90ceJbMEU/skABqrVDWMHb0mHlz55rxJU6279Hac/HCSt4eY2Ym85cBWafHvcz9BHPw27yLxAVrMNV8UglNrxFtG6z0H/PH/YxSR0AmfQliEMw0eauYJWESE11jdNY8PMdlyFne20EsqtnY9rD7aGME8ZM1yK61+q3Mqapqq24BAJB5XiFeeOQJM5DFWWkqQfmptr/Xr1uzdlZlpURDc0Q8pjgzekx1deefgsc65Zma43kzjJlh5KKvbaVmdbQtn66tRfjIW8U6SkTIHpp30Fxxbjojq1gr7eRD6rqjKDsbwRppls+guS/tMSSRKHl9XF8i8yB4AAAyLVaIjyOdy7d+/ENcI0eNfKP6TdtQlkQZScZpjAiyKkk5snsgcUf2EPS1nkpLS3QrBWZ2tzjnaE+FvFby1OSi5qAMVq6CzazKL1rvGUmZ0YZ4La9mZaxXPs6uP6wFq6jG9tHwKA5Mgvyl2DkHALSvGCFevstjflfFnJTGRlY4e84cZ5R3TvCSBMkZEm1lVdJIolAnHlapuvOS+u/1Hqq2Vt00abKaYlIurjsMaF/WSLl5ifaulj+iVX8le8K2yUZtZCXW9EQivQnS+V5y3RhZLEBFNbYzSSdUpGT97Tx2km0H2wAAkGUxQrzwDqaJfjtaVJR/fsN6M46YReoebJmj/FyJvGRcq8xAtmrJ0qUqW6trnMyHrjXOb2pjG0qPmZ5ty6dl8FJ2SGZMn64yn3rpZC9Inprrz/rwP/lTWu9VIW8S8/RezovsvGVop1Q0NDTq1jkeRTWpb0ZC+5+NjcnsrMrejvm5S3rv2jkprcX5LwaxHgCQTbFD/PgJXhn93pkp/aw8ZOjQeL5fbSHDFovVd+e6NWutcU1ZpyR4tXfhkRiGDDl/iKqsM9qS8gTNg1ljlu/bljcr75NmjoDKno/1a35yESdpHr9CxHORaKhXlDL5Y7nuHSUUEJ0ytFqnFGckTPqVNGdnsrheGe2DGe0XM9f3ueuVrg8nXF9k1ytjfqZsZ5L2/kfMgzzTxW4/Pth2EpT0VuwAAOAtdoiXPOqRGBIa4lJzmyRRxi3fl+Z3uev89OYs6WY69xg4vKZtsZBtw+RBZ1VWqrYZAsxHt8iS5gO1WX7NWlsQWdF2SkHnOKiNbImVGOTJmn+OOH+7cDKfeBAPyHsmyhCpvLDWvlwSMrRaG3kDOCNgFtg+RxbXMwzIO8S1Ml7W4LoH4rpz6/rWirYb7JwrVrgu7L0jLVtofr7kWZg71YmSP9aMtid7lk/0g+f+ZbDIoyT3myQAAMmJHeJFtPmVJcGbWTBO8+bOteKyBCOrLauyTYJukW9luZfKH7K8dRdh/ehvzuS4aeOLamH56rUNpKnrFXnEe42CflnSWrM0bpo0We6uvrzlmVrRWZKQVdkiZAG1pDmXvLm8PKJ85avQJv+VuC8PZP5Mb26S2bbIqqzXWdagNkmWlFWp1Sq2+5o3mW3F3M+R56KejqzZ2m/xJ9lOCVWykWYtio2qqvJYwClDq3Ulf6ZouwrxM08QFicJvtGG/12fl7xnotWYyctlfgScb0WLLCOfXN1pJZsRrUblsUWLbOk86qh/6+fI9SYhb2Pzs5DQWVpdtb50LUfJq4v1b5FFdhJs824BAJBpOc3NzboZnXwTS4LRHcPLWzabo8IxjR09Jtr3rrAKYBRJFa4/ZJvMu8iaZSNtX65CUn5dXa2VziVe2w7aM3cqTJKbzUm75UWQDBRt++VRbMfptgad253bI2SdsmaVy+WhzZQjr+dzq1c5X9WW3O+IWRId5HElTqmurNA6r608rjy6FbOEcwvl5TIXUEaOGilxxNpn8Ilof6M4yavt+pNR2lfr+qa1fUzSsqeU6EdPYqj1PonG9tHw/rQqajNiLilvqpWrV0vD9m53ZZ2tVjbYlumd9rod8WLeUd7Jv9qyOdH3syR13YqDfKysoQQAALImrpF4yYXO36MliSYUI8St06bJt51tVfL9KldKGjATvI08kPlYrneRBZ7fsN4MVdJW5eO630pihC3NSHCRnQHzjrIqWb9895vrl82WR7Rtv7UltkcRspisQW41t1weRR5LLipVSNSwZRoJQxKJdMcg65HttFaltlCenTkiK8FdcrmKLw9WVtoCunM3QBK/udmSnGTDJEIlmniQENf9ukSZbyqY5G1vRn/5CCfxfpZ9gzeq35SPmLroa9tSN8mS0RYAACCj4hqJbxfmoKY1kgcAHmw7q9a4PgAAIRPXSDwABIJZH9WnvJwEDwAIK0I8gJCwHdIa7Yh8AABCwL8h3pwBPeYkjACwse308NFmuwIAIAR8GuLramvNGdBtB6sBgE1D2+nhkzjyHgCAAPFpiHdOWjdj+vRUZgMEEG62fx84fyoAINz8OzsNAMTP3PMvLS19o/pN1QYAIJQ4sBVA4FVtrTJ/uzNP+wAAQCgR4gEE3qa2h7SOn8AhrQCAkCPEAwg22yGtQ9zOMA0AQMgQ4gEEm216eIbhAQAdAQe2AgAAAAHDSDwAAAAQMIR4AAAAIGAI8QAAAEDAEOIBAACAgCHEAwAAAAFDiAcAAAAChhAPAAAABAwhHgAAAAgYQjwAAAAQKJHI/wdgTh4EoS6+ngAAAABJRU5ErkJggg==)
A spacecraft (mass = 720 kg ) traveling at 11.2skm in the + 𝑦 direction approaches Jupiter, which moves at 13.1skm in the - 𝑦 direction and has a mass of 1.90×1027 kg. During a gravity slingshot, the spacecraft curves around Jupiter, depicted by a dashed trajectory. Assuming only gravitational forces act and Jupiter's motion remains unaffected by the spacecraft, find the spacecraft's final speed after escaping Jupiter's gravity.