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)
28. Magnetic Fields and Forces
Magnetic Force on Current-Carrying Wire
28. Magnetic Fields and Forces
Magnetic Force on Current-Carrying Wire: Study with Video Lessons, Practice Problems & Examples
9PRACTICE PROBLEM
A solenoid is used in a laboratory experiment. It is 25.0 cm long with 800 loops of wire and carries a 6.0 A current. A U-shaped copper wire carrying a 3.0-A current is placed inside the solenoid. The U-shaped wire has a side of length 10.0 cm and is perpendicular to the solenoid's magnetic field as shown. Given μ0 =4π×10−7 T⋅m/A, what is the net force on the U-shaped wire?
![Diagram showing a U-shaped wire in a solenoid's magnetic field with current directions labeled.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA7oAAAKWCAIAAADof3LDAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFwQSURBVHhe7d0LfFTVvff/hEgCyMxgW89fzJCj/Ws1XIo9cgioVfRwETCpLyDIrQWFFigFkap5XoiKijxPvKCFYoIlFWy4SEpempRLgKNoxSQc9UiBRKynWkig/8f2HDKDQIIw/wV7OQ6Z2Wv2zOyZ2Tvzeb+mdv12ksnOhcl31vz2Wuk+ny8NCefzeLzTZzsr1skaAAAAltRJ/j8S6OzBxuODhmT0cssaAAAAVkVcTrTWikpP4WSf19tl+jR5CAAAAFZFM0ZCfbmgSMRlMejkzu5Ru1s7CAAAAMtidjlBzjU1t4zI17KykFU4RhsAAADAyojLiSBScsvw/LMNH8taxOXxY+UIAAAAFkZcji+fx3Ni+uwvFxT5vF55KC0to/f1ndzZsgAAAICFEZfj6Ext/fFBQ9p27JL117rMuFeOAAAAYG1c6hcXPo/n1LLlp8vWyvpilx38IN3plAUAAAAsjNll87XV7Dw+aIheVs4cPpSsDAAAYBfEZTOda2o+MX32iRk/D+xUbidzPGtiAAAA2AbNGKY5vXrNqWXLFUFZSHc4Lmv4UBYAAACwPGaXTXCmtr5lRP7JJ55WZ2Uh885hcgQAAAA7YHY5Jueamk8+viR47Qs9ru1VGX1yZQEAAADLIy5HyefxnF69RtzCzij7sfE1AACA7dCMEY3Wisrjg4acemGF8awsZI4YKkcAAACwCWaXI9NWs/Pk4qfPNTXLOhI9anezmR8AAIC9EJeNOlNbf2rZ8q/q9so6Qhm9r3fVVMsCAAAANkEzRngiKHsKJ3vHT4k6KwtZhWPlCAAAAPbB7LJKjDPKgdj4GgAAwI6YXQ7NlBllPza+BgAAsCnicnttNTtNDMqazuxOAgAAYE80Y3yjtaLy1LLl0a16ocDG1wAAAPbF7PL5DUdESj4+eMiXC4pMz8oCG18DAADYV0rPLotwLIJya0WlrOPDsam88+A8WQAAAMBWUjQui4jcummzid3JetKdji7Tp8kCAAAAtnLJ4LzUisvnmppFShZZOR5NFwAAAOhguj4wN1XisojIZ7bvbNuxS9YAAABAOCIud/xL/c7U1muX8ZGVAQAAEKmOH5c7D85z1VRduqw4o/f18hAAAABgTMr1Lp9e/Urrpkqf1ysPAQAAADpSqHc5kM/jaavZJXLz2YaP5aG4YWUMAAAA+0q5lTHaOVNb31ZRGe91l13bqzL65MoCAAAAtpLScVkT7w6NrMIxly4rlgUAAABshbgs+TwekZhPl60xfUnmdIfjsoYPZQEAAABbIS6311pReWrZcnNDc/fVL2WOGCYLAAAA2EfHX0guUlmFY3rU7jZ34bm2TfFtjwYAAECcMLuscqa2/tSy5V/V7ZV1DC47+EG60ykLAAAA2ASzyyqdB+c5K9Y5NpVfMmigPBStthr2FAQAALAfZpeNirGnOaP39a6aalkAAADAJojLkYklNPeo3d3JnS0LAAAA2AHNGJHRLgQ8vx2iwyEPGda6abMcAQAAwCaYXY6Sz+M5tWz56bK1sjagkztbRG1ZAAAAwA6IyzE519R84oGHjS+dwYbYAAAA9kIzRkw6ubOdFeu6r37JYFNyawX9GAAAAHbC7LI5fB7P6dVrTr2wQtY62BAbAADAXphdNke609l1wbwetbvVKzT7vN62mp2yAAAAgOURl82k9WZcuqxYsW7GGfYrAQAAsA+aMeLC5/F8+UBR247QyZgNsQEAAOyC2eW4EGm4e1lJ99UvhZxmZkNsAAAAuyAux1HmiGE96kJ0M7NfCQAAgF0Ql+Mr3el0Vqzr9vgjsr7gq7q90W2jDQAAgAQjLidClxnTzm9Q0vt6WaeltW1nfQwAAAAbIC4nSEafXGfFuqzCMVp5umyNNgAAAICVEZcTJ93pvHRZsdaYca6p+ezBRu04AAAALIu4nGhdZkxzbCpPdzjYEBsAAMD6iMtJ0HlwnmtH9bkjXO0HAABgdWxTkjQ+j4fNSgAAACyOuAwAAADoohkDAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0JXu8/nkEGa45qqr5QgAAMAAh8OR27u3GDidzt59ejvEf3v3FkdEqb0Dkou4bDLiMgAAMEV2drYIzXmDBwlankZSEJdNRlwGAACmE9F52IjhY8eNIzcnHnHZZMRlAAAQPyI3jy0cN2bcOLfbLQ8hzojLJiMuAwCABBg6bNi90+/LGzRI1ogb4rLJiMsAACBhBubl3f/AfEJzXBGXTUZcBgAACSZC8zPPP0d7Rpyw7jIAAIC97a2vH3LLD5c8+aTH45GHYB7iMgAASL5Lv+WSI0RrzW9fyR85qr6uTtYwCXEZAAAkX3r/nl9md5UFotXc3Dx5wsQlTz4pa5iBuAwAAJLv88wvT7i7yQKx0aaZm5qaZI3YEJcBAECSnfp/upzs9FXrtzK/6pohDyE2jY2NNGaYhZUxAABAko0tLare90cxmHvH+OcL52sHU0djQ4N2iZ5It01HmoS99fXam2JX/NyzY8eNkwWiQlwGAADJ9Nd/HLt20Vht7Ora/YtlO7RxihPRWdx21uxobGyUh6I1b/798+an3JMQE2UsXrxYDgEAABJuxZub3vnzf2rj1q/a/vnbV/Tv9T2tTGVutztv0KBJUyaPGTfO6XQ2HWnyer3ybRGqr6sXHz5sxHBZI0LMLgMAgGS6fMHwllMnZJGW9n33Ne8/8qosEGDnjh2vlP026j6NMWPHPvP8c7JAJLjUDwAAJM2rtVsCs7Lwp6ZP3/7kQ1kgwLDhw9e/tnHdxg0D8/LkoUhUbt78ym9/KwtEgmYMAACQNGNL/1e7uCwcP+W9Z8AwWeBibrd7bOG4bLe7vraura1NHjXmj2+/Iz6wd+/esoYxzC4DAIDkePuTDw//999kEaB63x//+o9jskAoY8eNe3vPu9Puu1fWhhU9+FBjQ4MsYAxxGQAAJMdTfyiToyBP6r8JGqfTueixx0peXuVwOOQhYybdM4EdTCJCXAYAAEnw9icf+hfECPa7uq1MMBsxbPjw6m1bc3NzZW2A1+ud/dOfyQIGEJcBAEASKKaWNUwwG+R2u9e9tnHMWLl2tRGNjY3LX3xRFgiHheQAAECivf3Jh8Ne+IUs9P3fZTt6dO0uC4Tz8C8frNy8WRYGVG/dkstlfwYwuwwAABIt7NSy5pebmAGNwDPPPxfRHLOI13IEJeIyAABIKHXXciA6mCMVUWKmJcMg4jIAAEgog1PLGjqYIyUS89BhRletfqXst6ySERZxGQAAJI7xqWUNE8xREInZ4FoZXq93+QtMMIdBXAYAAIkzfe0SOTJsQQV5LjJOp7PkNy8bXI+5cvNmJpjViMsAACBBXq3dEnIbP7XqfX98+5MPZQFj3G73M88/J4twmGBWIy4DAIBEOH7qxC8rfiWLCP2SCebIDRs+3GATMxPMasRlAACQCCv+/bWWUydkEaE/NX36au0WWcCwZ55/zmBLBhPMCsRlAAAQd3/9x7GntsS0xsUvK351PNq0nbKcTue8B+bLQmnnjh0ej0cWuBhxGQAAxF0UV/i103LqxFN/WC0LGHbvffdlZ2fLQp/X6xWJWRa4GHEZAADE16u1WyJaPE7Pijc3cc1fFAxOMK8p+60c4WLEZQAAEEexXOEXjGv+ojB23DgjE8yNjY1c8BcScRkAAMTR9LVPRX2FX7A/NX0a0aaA0BjvYJYjBCAuAwCAeKna9071vj/KwiRPbSnb1/RnWcCYYcOHG1kiY2cNcTkE4jIAAIiLv/7jmPoKv5xvXTH3jvF/XrJZ1hf8xyNrfzxolKtrd1mHMn3tU6ySERGn0ykSsyz07a2vlyMEIC4DAIC4EFk5ZBuGiMIiEO984NefPl35fOH8f/52T/mGC/q7ry2buuiLZTt+P+v/iHeTRy92oSWDVTIiM2xE+Lgs1NfVyRG+lu7z+eQQAADAJE/9oSx4oeX8/j/8Uf9bfzJ4tKy/ljn7JjlKS2sreU+OLjh+6kTVR2+/Wrs1eG0NkacL+t8qCxjwg37f93q9stAxb/798+YbanROHcRlAABgsrc/+XDYC7+QRVra993XiIgsbj10WiwUcdnvr/849sa+d5b/+2uH//tv2hFX1+67Fqzs775WKxHWrJ/+bNfOnbLQMTAvb/1rG2WBC4jLAADATPua/jx02ZyWUydyvnXF1PMpeVS7dotgRuKyn7j/V2u3vFq7VXwKEcR3LXhJL4Wjnc2//33Rgw/JQofD4fjP/X+SBS4gLgMAANMcP3ViXEmRyMfz/u0e4/O+EcVlv6p977zx0TvHT3k3zyqWh6DU2NCQP6p9J0ywD/+0z+l0ygLEZQAAkHTRxWVE4ZqrrpYjfes2bsgbNEgWYGUMAACA1DEwL0+O9LG3XzvEZQAAgFThdrvlSF8zcflixGUAAIBU4e4VPi6jHeIyAAAAvtFwsEGOcAFxGQAAIFUYuYbP4/HIES4gLgMAAAC6iMsAAACALuIyAAAAoIu4nDTnmprlCAAAAFZFXE6OM7X13umzZAEAAACrIi4nQWtFpXf8lMwRw2QNAAAAqyIuJ5TP4/lyQZG4iXHW+LHaQQAAAFgWcTlxzjU1ewont1ZUinFG7+s7ubO14wAAALAs4nKCtNXsbBmef7bhY63sMuNebQAAAAArIy7HndaAcWLGz31erzyUlpY5YqgcAQAAwMKIy/F19mBjy4gCrQHDL3P40HSnUxYAAACwMOJyHJ1atrzlzoLg9ZUzx4+RIwAAgATKdrvlSN/e+no5wgXE5bi4MKmcf+qFFbIOkO5wsIQcAABICreBuIx2iMsm83k8JxcvabmzwH9VXzuZd5KVAQAAbIO4bKYztfUtIwpOl62VdShdpk+TIwAAAFgecdkc55qaT0yf7R0/JbhTOVAnd3ZGn1xZAAAAwPKIyyY4f0nf8Py2HbtkrY/14wAAAOyFuByTtpqdxwcPOfXCisA1lRXYnQQAAMBeiMtROlNb7ymcfGLGz9XdF4HY+BoAAMB2iMsRE/n4ywVF3vFTvqrbKw8Zk1U4Vo4AAABgE8TlCGiLxB0fPKTdLn0GZbE7CQAAgN0Qlw0RQfnUsuXHBw1RLxKnwMbXAAAAdkRcDsMflI1fzxdSZ3YnAQAAsCHisi6zgrKQ7nBkFdKJAQAAYD/E5RBMDMoaNr4GAACwKeLyRc41NZsblDWZTC0DAADYE3FZ0paHi2jPEYM6ubM7D86TBQAAAGyFuCw3HIl6ebiw2PgaAADAvlI3Lvs8HpGPRUqOYsORiLA7CQAAgH2l+3w+OUwZ55qaT69+pXVTpblNFyGld+uW8f2+sgAAAKF85zufyVFa2t//frUcIT72/edHrW2tstCRm5vrYL+IC7LGj02tuNxaUdm6aXNc55IBAECkrrjrcjlKS/vbH76QI8ACuj4wNyWaMc4ebDy5eMn/9P6XLxcUkZUBAABgXMePyyIrn1jw8OmytQlovQAAAEAH0/HjckafXFdNdY/a3V2mT013OORRAAAAwIBUWRmjkzu72+JFlzV8eOmy4ksGDZRHAQAAAKVUXBlDSNjiGOndunVf87IsAABAKJe++oAcpaV9+ZMX5AjxseSJJz9ubJSFjkceezS3d29ZpLaMXu4Ujcsan8fTVrPr1LLlIj3LQ3HQffVLmSOGyQIAAATJnH2THKWltZW8J0eIj0n3TNhbXy8LHes2bsgbNEgWKS91tykR0p3OrMIxPWp3i0Qbvw6Ntk1x2SwQAAAACZDScdkvc8QwZ8U6x6ZykZ7lIfO07djl83hkAQAAAFshLn+j8+C8S5cV96jdbXpobqvZJUcAAACwFeJye53c2f7QbNbCc6dXvyJHAAAAsBXicmgyNNft7vrA3NhD89mGj+N6NSEAAADihLisku50dl0wT4Tm2NszWjdtliMAAADYB3E5PBGaY+9pbq1gfQwAAAD7IS4b5e9pzhw+VB6KxLmm5rMHwywJDgAAAKshLkdGhObuZSWOTeVRrNPcWkE/BgAAgM0Ql6PReXCes2LdpcuKRXqWhwxoZb8SAAAAuyEuRy/rwo6AxpfO8Hm9bTU7ZQEAAJAMbrdbjvTV19XJEYjLseu6YJ5rR7XBhuYz7FcCAACSyt0rfFxGIOKyCfwNzWF7M1orKtkQGwAAwEaIy6bpPDhP682QtQ42xAYAALAR4rLJzvdmbK9SrJvBfiUAAAA2Qlw2X0afXGfFum6PPxLyEsCv6vayITYAAIBdEJfjpcuMaa4d1SGnmdu2sz4GAACAPRCX46iTO9tZsS64m/l02Ro5AgAAgLURl+NO62YOXDSDDbEBAADsgricCBl9cl01VYFrM7MhNgAAgC0QlxMk3ensXlbS7fFHtJLl5JCaDh364o0qXloJY1VJ6TVXXR3y1tLSIt8JAJAoxOWEOn/93/aqdIfjXFMzG2Ij1YigfN9PK/91QJjdfHDgwH45uljffv1cLpcsAACJQlxOtIw+uT3qdmf0vp4NsZFSnnnunccW78q+0nnllU55CDoO7D8gRxfrldNLjgAACURcToJ0p9NZsS7dGWJVZqDjOXrUM37ChnXr94lxQUGudhB6Wlpajhw+LIuL9e3bT44AAAlEXE4OkZi7LV4kC6DjeqOqsXDChkOf/F0rf5RPXA7jvXf3yFGQm2+5WY4AAAlEXAYQF15v6/wFWx5bvOvEiTbtyO1DvutwZGlj6NFrXBb69mN2GQCSgLgMwHxvVDXeOXrNW7v/IusLRFyWI+jbozO7TFYGgGQhLgMw09Gjnuk/rQycVNZ07575IxqXw2lpaTmwP/TsMp0YAJAsxGUA5vB6W0tW1Y+8a+37HzTLQwHuuP3/lSPoc7lcn37+WcjbQ0VF8p0AIDbZbrcc6aurrZMjEJcBmEK7pK901V5ZB6ETAwAswm0gLiMQcRlATN5/v1nrvjh2zCsPBenZ03HH7cRlAIAtEZcBRElrU57+s8qQ3ReByMoAAPsiLgOImAjKjz6+S69NORjLLQMA7Iu4DCAC/qBcVd0oD4Vz3fe+c911l8sCF7s7v+Caq64Oe5s7Z478AABAwhGXARhy6NAXkQZlDRtf61EsG9dOTk6OHAEAEo64DCAM7WK+8RM3RhqUNXewJoYObdm4FStXht2CpG9f9igBgKQhLgMIzett1TbnM3Ixn57bh3z3yiudskAoI0ePWrL0aVnouIk9SgAgedJ9Pp8cAsAFR496ytd/JLJyu535onDVVZd959vdZNGhFeTnxrJt4TVXXS1HQfr26/d6dZUsgA4qc/ZNcpSW1lbynhwhPurr6iZPmCgLHQPz8ta/tlEWKY+4DOAbIiJXVTdGPZecymbNHDh7Zp4sIqeIyyNHj1qxcqUsgA6KuJxIxOVI0YwBQFr06Ob/XfwWWTk6Ho9HjiJ35PBhOQqFxmUASC7iMgBpyVNj6/b8/MnFQwfcmC0PwTCnM/oW7QP7D8hRKDfTuAwASUUzBoAQzGpfHvpv10y85/uy6NCuvNIR9UWNq0pKny0ulsXFXC7XB/s+kgXQcdGMkUg0Y0SKuAxAl9fb+uZbfylZVX/smFceilDPno7tW6bJAjrmzpmzbctWWVyM6/yQIojLiURcjhTNGAB0ORxZPyrIFXn3hedHR9ehIXL2++/TDB3Ge+/ukaMgdGIAQNIRlwGEd8ft3y37zZiyl8dEEZrfiGpzk9RxYP/+lpYWWQThOj8ASDriMgCjBgzIjiI0v/nWf8kRQlFf58cGJQCQdMRlAJGJNDSfONH25lt/kQWCHDmiu4pcr5wcl8slCwAwSbbbLUf69tbXyxGIywCi4w/N133vO/KQvir6MfTt0W9c7tuvrxwBgHncBuIyAhGXAURPhOZNGyc+uXhoz54OeSiUt3b/xettlQUCtLS0HNi/XxZBaFwGACsgLgOI1Y8Kcis2Tpw1c2D37pnyUBD6MUJSrIkhsCwGAFgBcRmACRyOrNkz80Rovn3Id+Whi61bz14bIRxWb3/dj9llAEg+4jIA01x5pfPFZaNfeH50cG/GoU/+fvSoRxb42oED+p0YZGUAsAbiMgCT3XH7dys2Tpw8qb+sv8YCzMHYoAQArI+4DMB8DkfWww/eWvbymMBp5jeqiMsXYYMSALAF4jKAeBkwIDuwm/nYMe+hQ19oYwjqDUpYRQ4ALIK4DCCOHI6sF5eNfnLxUG3RjPL1+7TjEBQblLhcrl45ObIAACQVcRlA3P2oIPe3vznfmMGG2IEUG5Sw9zUAWAdxGUAiXHfd5RUbJ15/3eUswKxhgxIAsAviMoAEcTiyyn4zJvtK1f5/qSNc4zJxGQCsgrgMIKGuu+5yOUptiqllgev8AMA6iMsAkASKDUoEl8slRwCAZCMuA0ASKDYoAQBYCnEZABJNvUGJoFg0AwCQYMRlAEi0I4ePyJGORQsXrioplQUAIKmIywCQaOrGZeHI4cPPFhdfc9XV6isCASA62dnZcqSvvq5OjlIecRkAEs1gr4XL5WJFOQDxkO12yxEMSPf5fHIIAACQDJmzb5KjtLS2kvfkCHEz6Z4Je+vrZaFj3cYNeYMGySK1MbsMAAAA6CIuAwAAALqIywAAAIAu4jIAAACgi7gMAAAA6CIuAwAAALqIywAAAIAu4nLStNXslCMAAABYFXE5OU4tWy5usgAAAIBVEZcTzefxfLmg6NQLK7rMuFceAgAAgFURlxPq7MFGT+Hk1opKMc4cMVQ7CAAAAMsiLidOW81OkZXPNnwsxpnDh6Y7ndpxAAAAWBZxORF8Hs/JxUtOzPi5z+vVjmSOH6MNAAAAYGXE5bjTGjBOl62VdVpausOROWKYLAAAAGBhxOX4Or16TcudBVoDhl/mnWRlAAAAeyAux8u5pmZP4eSTTzwt6wBdpk+TIwAAgIRzu91ypK++rk6OUh5xOS7OTyoPz/+qbq+sA3RyZ2f0yZUFAABAwrl7hY/L8CMum+zswcaWEfknn3jaf1VfO1mFXOQHAABgG8Rl02jLXwR3KreTNX6sHAEAAMDyiMvmaKvZ2TKiIHD5i5Ayel/fyZ0tCwAAAFgecTlW2iV9J2b8XAzkIX1ZhUwtAwAA2AlxOXpa98XxwUNCXtIXUha7kwAAANgKcTlKp5YtPz5oSNjui0BsfA0AAGA7xOWItVZUHh885NQLK/TWvtDTmd1JAAAA7Ia4HIEztfUtI/K/XFBkpE25nXSHgyXkAAAAbIe4bIgIyp7Cyd7xU9SLxCmw8TUAAIAdEZfD8Adl49fzhZTJ1DIAAIANEZd1mRWUhU7u7M6D82QBAAAA+yAuh2BiUNZkjhgqRwAAALAV4vJFWisqzQ3Kmi4z7pUjAAAA2Apx+Tyfx6MtD/flgiJzg7LAxtcAAAD2lepx+VxTs7bhSHTLwxnBxtcAAAD2lbpx+UxtvYjI0W04EhGWkAMAALCvdJ/PJ4epwefxtNXsOr36lahXUAYAAOa64q7L5Sgt7W9/+EKOAAvo+sDcFJpdPnuw8fx08oW+C7IyAAAAjOj4cdnn8ZxevaZlRH7LnQWtFZVx7bsAAABAB5MKcdl7rqlJ/FfWAAAAgGEdPy53cmd3W7yoR+3u7qtfyhzOdiEAAACIQAr1LmeOGNa9rETk5vMt2yyEDAAAAANSbmUMv7aanadXrzF9U5Jglx38IN3plAUAAAiSOfsmORJ/oEvekyPETX1d3eQJE2WhY2Be3vrXNsoitaXQ7HI7mSOGOSvW9ajdnVU4Rh6Kj7aaXXIEAAAAu0nduKzp5M6+dFnxZQc/6PrA3HSHQx411enVr8gRAAAA7CbV47Im3ensumBej7rdIjqb3tZ8tuHjOG2vDQAAgHgjLn9DhOaswjE9as0Pza2bNssRAAAAbIW4HII/NF8yaKA8FJvWiko5AgAAgK0Ql3WJ0OysWOfYVB57aD7X1Hz2YKMsAAAAYB/E5TA6D84ToTn29ozTZWvkCAAAAPZBXDYk9p7mtu075QgAAAD2QVyOgBaauz3+SBRLzvm83rYaEjMAAIDNEJcj1mXGtB5153fSlrVhbZu44A8AAMBmiMvRkOs0R7gjYNuOXT6PRxYAAACwA+Jy9LQdAR2byjN6Xy8PhcOG2AAAIOmy3W450tfY0CBHKY+4HKvOg/NcNdUGG5rZrwQAACSd20Bc9nq9cpTyiMvm0Bqaw/ZmfFW3lw2xAQAAbIS4bJp0p1PrzVAvNseKcgAAADaS7vP55BAm8Xk8p1evOfXCCllfTITpHrW7ZQEAANLS3vnzf8pRWtqt1/5AjhBP11x1tRzp+/Tzz+Qo/srXfzRl0g2ysBjicrycPdh4YsHDZxs+lnUA1/aqjD65sgAAAEg4S8Xlo0c9I+9au+0PU6+80ikPWQnNGPEiArGrpjrk8sytFVzwBwAAIL1R3Sj+W77+I620GuJyfHVdMC+4m7mV/UoAAAC+9kbV+bis/deCiMtxd2GluarM4UNlzYbYAAAAX3vzrb8cO3Z+0boTJ9qsmZiJy4mQ7nR2Lyvp9vgjsk5LO8N+JZHzsCciAAAdTtWFTgxN4Ng6iMuJ02XGNNf2Kq0xo7Wikg2xIzX5ngn1dXWyAAAA9nf0qOet3X+RRVra+x80Hzr0hSwsg7icUBeu/6u6ZNBAMWZD7EjlDR40ecLE5S++KGsAAGBzJav2ytHXytfvkyPLIC4nWrrT6axYl1U45gz7lURo2n33if8uf/FX+SNHMc0MAIDdeb2tb771X7L4WlV1ozguC2sgLifHpcuKO985TBYwxu125+aeX6+6sbFx8oSJD//ywaamJu1NAADAdsrXf3TiRJssAlhtRTnictJkFY6RIxg2pnCcHKWlVW7ePOSWHxKaAQCwqfJ1oWOxOG6pCWbiMuxk7Lhv4rKG0AwAgB29UdUYcmpZEMctNcHMJtgwzYL75//5z5/IIm6ajjR5vedXZwyW2zv31ttue6ioSNYAAEBH0jfBvnP0Gm255ZB69nRs3zJNFsnG7DJM861vf8vhcMb7dskll8jPFyQ3t/cNP/iBLAAAgFW9UdWoyMqCeKt1tixhdhl20tTUNOSWH8riaw6H497p940ZN87tdstDAABA6babb2lubpaFjuqtW3J795aFqdRTyxrrTDAzuww72bljhxxdIILyvPn3v73n3Xnz55OVAQAwLtvA38047acbdmpZY50JZuIy7KSy4vdydH4Z5nu1oOx0OuUhAABgeSWr6uUonGeee8cKS2QQl2EbjQ0NjY3nn2UOzMur3rpl0WOPEZQBWMGqktIb+99wzVVXazcxlm8wT0tLi/gszxYX+z+L/3OJ4xvXb5DvlzzWP0NYRPn6j4xMLWssskQGvcuwjSVPPrnmt6888tij917Y3g8Akk4EwZdLS0VSlPUFI0ePWrFypSxiJoLmxg0bDuzfL2sdLpfroaKiCZMmyjqBrH+GCGnSPRP21oeZ5V23cUPeoEGyMIPX23rn6DV668eF1L175vYt0xyOLFknA7PLsI2Ggw3VW7eQlQFYgQjKN/a/4dni4nZZWejbt58cxWbPu3vuzi9YtHBh2CQqiNMQ7zl3zhxZJ4T1zxBWo7eNn4J4f+PNG3FCXIZtlP7m5ThdnwsAximCsubmW26WoxiI+586ZYqRGBpo25atCcuj1j9DWM3Rox69bfzU1q3fJz5WFslAXIZt0KkMILnCBmXB5XL17Rfr7LKIoeJzyeJiDxUVffr5Z+L2enVVyE8k8qjex5rI+mcIC3rmuT9GOrXs9+jju+QoGYjLAACEYSQoa3rl5MhRVMT9351fsOfdPbIOIO5ZBNCZs2dppUiia8t/J9K5VgYKbqc2kfXPENb0/vvNb+3+iywi9/4HzeIeZJFwxGUAAHQZD8qaGDsx5s2Zo9fesGLlr9tN1ookGvLKOXGq8VuJwvpnCGt65rl35Chaix7fmaxF5YjLAACEEGlQ1sRynZ/4XCFnbYWHiopCNjY4nSHmboVtW7fKkamsf4awppJV9Yc++bssonXsmDdZi8qxkBzMdHd+QaSXfYR08y0333TzLdog5OMvAMSPCMpRdwu89c7b0fVjKK6BEw+Dr1dXyeJiio/6YN9HIRshomb9M0REEraQ3NGjnsIJG6LuWm5n04YJ1113uSwShdllmEb8aTElKwt73t3zbHGxuIn8fc1VV4vBkcOH5dsAIG7Eg0/IGWWRgB8qKvJ35eoR4S+6rCw+3TPFxbIIIj61HAVx6sfNA/sPyJEZrH+GsKxHH99lVlYWnnnuj3KUQMRlmEb8nfj088/C/jmJwqqS0ttvvU38AZM1AMRHTk6vdkF55OhRr1dXvfXO2+LBLWxivinaxuWXS0v1JgVuvuXm6PqhzZq/0Fj/DGFN5es/ev8DMy/RE/eW+JYM4jJMJv6cxGnTJhGap06ZIgsAiINeOTn+RzARAdeWl69YuTKwJUyvE1cTXeOyiKHi8U0WQSZMnCRHoSTmlTfrnyGs6ehRT0lpmH6Pnj0dA27MlkVamhiLI7LQ8exzfzx06AtZJARxGeYL+wfjg30faaty+m/iiMjZYecn9ry7R/GQDQCxmzlrlsjHIiWLrBzppGl011qsKtV9WBPxfeToUbKI0JEjpuVU65+hgvirIW5aa1/w7dniYu0d9C5hjIL2p+r2W29r94nCfooD+/eLD5w6ZUrgB86dM8e+q4jMX7BFrw2je/fMgvzcTRsmbN8ybcCAgLg8IFscEccnT+ov3kceDZLgZZi51A/mE/+wFy1cKIsgiitCBMVFIRqXy/XmO29zdQiApBAPUOJhShZBorh27cjhwyJXySJI2PYPka70GtUmTJq4ZOlSWcTA+mcYkvhLtHHDhkj7PcSfJ/9zHiMXr7f7iyYCsfhiFR8lnlqIZ2KyCCA+RJ2nLzyF+3V0nfF64n2pX8mq+tJVe2UR4PYh3xVB+Y7bvyvri99z1syBs2fmaWPhzbf+8tbuv1RVN8o6gMjTDz94qyzijNllmK9d51876tka8VCifvQUd674WwUAcfWeMtBE8UxeRDo5CmVUuInbBEzQWv8M2xFB+cb+NyxauDDSrCx+fP6sLP7WGPnwwL9oIu+G3RU85JSQeEaht/OLn7jbuXN+IQs7EDG3XVa+7nvfeXLx0Hff/tmLy0YHZmU18Z5PPXH+o8THBvZsCOvW7xOfRRZxRlyG+TweVVwO26oxYdJE9Z+cxD/4AoAgIpQgiyCRdm5oFK+zi+gWdjYxAZ3B1j9DP/HTEYFVBOXgH9PM2bO0PsC33nlb7ycVeKWm+DMk3nnJ0qX+AB3SyFHy2YJiV/B2RGIOTMYiPevNvrcjErPBT2GQ2+2WI30NDQ1yFImjRz2PPr5TG/fs6Zg1c+C2P0zdtHHijwpyHY4s7XhExEeJjy37zRhxPw89+EN/c7P4LIlpYiYuw3zq59a9cnrJkT711eWHuXAEQDIoppaFXr0ifqFcJCdF/vZHMQXFWmxRTHUHs/4Z+ok/PXpztGvLyx8qKtI+ncj3y1euDPmpg2dzLrSLPC2LIOJOtDAtsrJ6bridjRvWawPxgRG9XvqyfhN5FNy9wsdlr8cjR4Z5va3zF2wRg8mT+mutybNn5l15pVN7a4zE/UyZdIO/uVnE6Ecf35WArf6IyzCf+sFR/Uxdo34M9SibPQAgTg4cUM0F9O3XV44M27r1fKrQE3a6WgRZRZZVL+JhkPXPUCOy8tQpPw45k71i5cp25yn+xISclAn55Sj+Zml3MnfOHH9W9s9hi4Cu+EOmPe9atHCh/wO19Qq1yW/FZxTfTPWElBUcOvT3WTPz9rwz8+EHb43ffiLinsX9i9wsPtd/vG/mQnUhEZdhMvEvWfHgGPWipIEUi94DQPwoZhANzgW0o+6EDnuH6tlu9byDQdY/Q0GkZJGVQ/7pEfk15MIdOUE9JFH8BPv27fdscbE2PSw+XORd/xy2SN4/m6V7BaQ41VUlpf4uFxHo/esV9srJman/gUJLS8TTvQk2YEC28dbk2InPlYBPR1yGydQvSBlclFQRuIXghzkASABFG24UcwHqPoewE7eCujMt9lUUrH+GmrlzfhHyPMX9i/wqi4sFT2zr/QQVs7kHDshmYvGJApfU0KjDt79feW15ebtAb8q8EsxFXIbJ1NfhGXzufuTwETkKJYoGQQCIkfqlM4NzAYHCtHYYuEP1PeQYuFBEzfpnKIjAqpdoFdO0wZek6305ir9H/nnlV8t/F130D24UEcyadIeJiMswmaJxWTDS23fk8GF1b1bIV9YAIK7UL51F8aqX+g6NTDEqWh1E5Ip97tb6Zyj+XugtKyHu3L9BY7CHioo+vXi3LL3Vo9WJX1i+cmXILyTsZTbiHEL+OVO8iCG4XOZcM4eIEJdhphblVQh9jS1KulV5mbB4Is4zbwCJp45Nkb6AHvujpXq2O/Ykav0zFBTbDU6YqJuVI6L4JggiZOs1pagbUcQ3UC+gH1a/vmrG9w2RIi7DTOqrOow0uonHVvVCOXqNaAAQV4oX5Q3OBQRSzyAaebRUT/0auQc165+h+HuhWIVNMbUcEfVaT4rr+dRbECj+likCusjKTBglBXEZZoq90S3k8vJ+4rm4+LMkCwBIFPVUaxTJTx0lY28Ljn2NNuuf4cb1G/T+XowcPcqUWKmeIBdZWfFZFN9A8Quj+J1RfN+iWKwQpiAuw0zhLoIOc1WHf0WekMTDH1PLAJJC/dJZFMkv3FXR4VNR7K/mqVn/DLdt1f17IdKoHMVG/ZxBMYGtfn41YeIkOQpFMZ9t5FkK4oG4DDOpr+pQTAwfOb9qpmoHUfGotGLlSlkAQGKp5wKiSH7ql/jD9qeqZz3Vj7cGWfwMxV8NRR4164pw5USvqgNH/VRB0ekuvmmKNpjYn2OkLBEwrrnq6pA3xS+qH3EZplE/OOo9Omxcv2HRwoW333qb3pN48XgkgvKSpUtlDQAJp4hN0SU/RSQyctWgetYz0usOQ7L4GSouClcH2YgoGtbVyVXxC6NuFFHnbK7zi5reT8TgbwtxGaZRPzhu27K13fM57Saysn9no2AzZ8968523zZonAIDoKEJMFMmv5QJZBDGyJp0ijQmxv2Rv/TNU3L9ZU7DiO6CYwFZ/CYo/iOrvnuLrMvFpQArSe7UkbJuohrgM06ivAo7UQ0VFH+z7SPyXRwcAyaV+6SyKFZfVK/KGjZLiZNRzkLEvCmH9M1Tcf+xZXKP+EtRPk+KRs+nEiJr4hdR7tcTgbwtxGaZRzy5H5PXqqpmzZxGUAViBootXiCKchVtYN8x0l4hxivguQlXsD54WP0MRfRT3b3C+MCzFRK96QTdFVhYUOVt8UVHnbCgonvkYfBJCXIY51P/II3V3fsHcOXMUnXMAkDDqNSJib8NtJ2wn9J4978pRKCNHjZajuEn6GarTfNjTM0hxfad6YRDF5JEI2Yqcrf6rZ9bTgBSkbnGRIyXiMsyhftFq5uxZ7bYbFTet10Lvid22LVtvv/U2xbpyAJAYivRjejtp2Gu5WpR7c4iTiffFHlY4Q0WsNPFiOMXfNfVEryKcqZ9cqXO2WU8DUpDeN9b4t5S4DHOEWXG5V4jHL/GPX8ToteXlilUv5s6ZQ2IGkETql85Mn/DLia3PQb3qgiksfoZhT88g8UNXfBXqV/ATn7Ojk+12y5G+hoMNcmRbin/CBjsxBOIyzKH4Ry6oX7eaMGmiYv+RRQsX0pUBIFlMb1xWCzs5unHDejkKZab+nsxmscIZKoKs06Qsrr4aR/FNUPdVqy8MjTpnR8dtIC57PB45si3x9Kzdi9v+m/G9z4jLMIfiH7mRl5BEYtabbxCPO6tKdbcvAYC4Ul+VYXx2KpDL5ZSjICFfi/MTUUwR48QDqVmtCNY/Qz1mTV0rGtbVHTjq51eKSWL1fHYUC7DARMRlmED9j9zIS0jioUfxbhvXb1DcPwDET7iXzqKZ84s6Mm7coLtKvXgU1Zu4FY+f7Ra899/09lJN8BlGSpFWzXo1UpF61c+R1FeVKc9cdf1iPJoxYBxxGSYw5cVKxYOIoP4UABAnqtfHo730Sjzc6T3iKR4JRepVbOr0s1mz9DKuIkHqfQkJPsNIKe6npcWE5gHxhSheVXA6VX+tFJPr6r7EqHM2EoC4DBOoV1ky5SUksyYMAMA49Utn6vSjpjdZqPh0zxYX671VxKmZs3UnbqMLcIk8w0gpTlv9I/NbVVI6dcoUWQRRPEcSFLPL4lMrcra6j0XxY2IJuaQjLsMEin/kgsGXkIw8wAFAIm3bqlqZJ5YJv0iv3BIhTG/iVpzGipW/lkUoetOW6jnLRJ5hpMQd6s2LC+r1lMTfmrlz5ohkL/5y6SVmxUSv+lPHKWfH4zq/Duzu/IJ2TUchb+LXQH6AAcRlxCrMP3LDLyGp27YAIMGOHD6saC0QYnmSr7cLdMigdiHh/UIWQZavXKluctDLcOoe3ESeYRRGjtJdvHlVaanej0b8QO8IWNFfJOaQmSnqDUrUa6pGnbMN/hmFoM4kgSJ66Zu4jFhF/WQ6UNjf71he9ASASIlHpJ9M+bFe6tKI1BV1n5gIQCHzqHhEbXef4hymTvmx3idasnSp+mFWfKDeV6Ges0zYGUZnlP5eJ+JMxPkEzjGLWLyqpPTG/jcsWrgw8LshTizkwv+Kv2uKyCuo+4/lKBR1zoZx4vf2088/W7FypfobLkQ0Z09cRqyi2KAkmPq1M/HbH/b3HgBiJIKUCFXiNnfOnLvzC/Tyn594/9tvve3Z4mK99SXUHioqCp41FPc5d84v/B1uG9dvEGeiN5uwtrxcbw7YT3GddNhpiMScYXR65eQomqHF+Ygfov9l96lTpgT3VY8cPUqcXvAXKD623XsGUmcsRc5WP2dQ5GxB/VYEEz/cJUufloWOiBYbIS4jVup/xgZnhbdt3SJHobCADoD48Xc63tj/BhGqxE39BL4dkZXFh/iTmbgZTM8iqC1fuVIWAURcE/FOuyu9fZr69uv3enWVkVlbvYdo8dnDNkgk5gyjJtJ81DMpS5YuXRHqSxP8zwRCivoqQ/Xkkfp1WvGcRPyOhX3+hkDq3w3x1uBnSgrEZcRK8Y9c/C4aeSwTf5nUD08TJk6SIwAwlcg3IuXIwiTGM6J4z7Xl5bIwTMREkUQNJkW9R1eD0xAJOMNYrFj560g/y8jRo956523FnLdirSf1c4w45WyNeA6mvZQha8Qm0sVGiMuIifofuZGHY/Hhzyj//YsH67jOTwBIZepZvehEFODE45tIbwYf5UQM/WDfR8ZXZFM8GTDeuBnXM4yRCK8ilxv8dCIii+i/Itx1h4r2FfUfNXXOVvxWqHN2IIP9jRDUk/GRLjaS7vP55BCInPYqpCyCiMdN9aOY+G2eO+cXiqkd8RAjHgrDvmIIAHYnHglFbHpP/O/i8CRy6k0335KTkzNS/+K2xLDyGYonBhvXbzhwYH+7Rhrt3MQgYQneRurr6iZPCNNZPjAvb/1rG2URNyWr6ktX7dXGs2YOnD0zTxvHQvwmKJaKi/TVD+IyYjJ1ypR2j5uBxJN4xaOn1oylfgVqbXm5wSkNAABgXMeOy4rpPJfL9cG+j2RhDM0YiN6Rw4cVWVkI+bqVeMInfomDF/RpR/w2k5UBAEAUFOsQRPGSNXEZ0VMsSq8RmVi7dDrwNvfCdkrqSWWRkl+P8yXVAACgo4p6Ub+QiMuIxrYtWxULbcZCPOdbsnTp2vJy+pUBAEAURD5RzMpFep2fQFxGxFZdWMPf9Kw8YdLEFStXqtf3AQAApsh2u+VIX2NDgxzZimJ5EyGKzRyIy4iYKdsLuVyuh4qKtJuIyJ9+/tmSpUuTft03AAApwm0gLnu9XjmyFcWifr1yckQCkYVhrIwBAACQiq656mo50vfp55/JUdyYvjKGol905OhRehs6KjC7DAAAgA6iRblVZxSNywJxGQAAAB2EeqvO6BbdIi4DAACggzis3v46ks38/IjLAAAA6CAUCxJEl5UF4jIAAAA6CHM3KNEQlwEAANARmL5BiYa4DAAAgI5AvUFJ33595ShCxGUAAAB0BIoNSlwuV6+cHFlEiLgMAACAjmCPfuNyFHtf+xGXk6a1olKOAAAAEJt4bFCiIS4nx8nFS1o3bZYFAAAAYhOucZm4bB8+j+fE9Nmny9ZmjR8rDwEAkNqe2lLmv8lDQIQUU8tC1Nf5CcTlhDp7sNFTOLltxy4xzhwxVDsIAECKe+oPZf6bPARESLFBieByueQocsTlxGmtqBRZ+WzDx2KcVTgm3enUjgMAACBGig1KYkRcTgSfx/PlgiJx83m92pHOTC0DAACYRL1BiaBYNCMs4nLcnT3Y2DKiIHAdjHSHI3PEMFkAAAAkQ3Z2thzpa2xokCNrO3L4iBzpWLRw4aqSUllEiLgcX6eWLW+5s+BcU7OsL8gaP0aOAAAAkiTb7ZYjfR6PR46sTd24LBw5fPjZ4uJrrrpafUVgSMTleLkwqZx/6oUVsg6QVciaGAAAAKYx2GvhcrmiWFGOuBwX2qSydlVfO53c2Rl9cmUBAACAmL1eXfXp55+FvX2w7yP5AZEgLpvsTG293qSyJquQTgwAAADbIC6bxufxnFy8xDt+SshJZT92JwEAALAR4rI5Wisqjw8acrpsrax1ZPS+vpM7/FWoAAAAsAjicqzO1NZ7CicHrqms0GXGvXIEAAAAOyAuR+9cU7NIyd7xU76q2ysPhcPG1wAAAPZCXI6Gz+M5v/bF8PzAzUfCyhw+lI2vAQAA7IW4HDGtTfnUCyuMdF8EymR3EgAAALshLkfgfFAePMRgm3I7bHwNAABgR8RlQ/zX87Xbztq4zDvJygAAAPZDXA5DC8oRXc8XUpfp0+QIAAAA9kFc1mVWUBbY+BoAAMCmiMshtFZUmhWUNawfBwAAYFPE5Yv4L+YzKyhr2J0EAADApojL52nrKGtBOeqL+fSw8TUAAIB9pXpc1nbm09ZRNj0oa7IKx8oRAACAZbjdbjnS19DQIEcpLHXjclvNTk/h5OODh7RWVEaxjrJxWexOAgAArMfdK3xc9no8cpTC0n0+nxymBp/H07qp8nTZmjjNJQMAgEhdcdflcpSW9rc/fCFHSA1rLs1b2y1PG089WT/ty3ptbBFdH5ibQrPLZ2rrv1xQ9D99bjz5xNNkZQAAABjR8eOySMbaZXze8VNaKyrlUQAAAFjAFWc9/c8039D5f8R/xVgetZKUmF1OdzrlCAAAAFZy5+nGF49vfuHo78R/xVgetZKOH5c7ubO7zJjWo3a3Y1N5ViFX3QEAACACKdS73Hlw3qXLii87+EG3xx9hIWQAAAAYkXIrY/idqa1vXb2mbccuWceNCOh0gwAAoJA5+yY5SktrK3lPjhBny198cfmLv5KFjnnz7583f74sUlUKzS6303lwXveykh61u7tMn5rucMijcdC6iesLAQAA7Cp147Kmkzu72+JFPep2x69Do7VisxwBAADAblI9LmvSnU7tcsBLlxWbHprPNnzMMs8AAAA2RVy+SFbhGBGau69+6ZJBA+UhM5xe/YocAQAAwFaIyyFkjhjmrFjn2FRuVmhuq4n7BYUAAACIB+Kyrs6D88wKzeeams/UWmsDdAAAABhBXA7DrNDcxv7bAAAANkRcNkQLzd1XvxT1hYBt23fKEQAAAOyDuByBzBHDol49w+f1ttWQmAEAAGyGuByxrMIxrpqqrg/MjXRzkzb2KwEAAJaR7XbLkb6Ggw1ylMKIy9FIdzq7LpjXo263iM7ykAFtO3b5PB5ZAAAAJJXbQFz2EF2Iy7EQofnSZcWu7VXGrwJkRTkAAAB7IS7HKqNPrrNincjNRnoz2K8EAADAXojL5ji/HWDd7i7Tp8paBxtiAwAA2Atx2TTpTme3xYtc26syel8vD4XSummzHAEAAMDyiMsmy+iT66qp7vrAXFkHaWW/EgAAAPsgLsdF1wXz9KaZzzU1nz3YKAsAAABYG3E5XhTTzKfL1sgRAAAArI24HF8hp5nZEBsAAMAuiMtxp600F7ihCRtiAwAA2AVxORG0DU0C12Y+w34lAAAAdkBcTpyswjHOinVaY0ZrRSUbYgMAAFgfcTmhtMaMzOFDxZgNsQEAAKyPuJxo6U5n97KSrg/MZb8SAAAA6yMuJ0fXBfOyxo+VBQAAAKyKuJw0gWtlAAAAwJqIywAAAIAu4jIAAEAqyna75UhfY0ODHKUw4jIAAEAqchuIy16vV45SGHEZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAgRWVnZ8uRvsaGBjlKVcRlAACAFJXtdsuRPo/HI0epirgMAAAA6CIuAwAAALqIywAAAIAu4jIAAACgi7gMAAAA6CIuAwAAALqIywAAAIAu4jIAAACgi7gMAAAA6CIuAwAAALqIywAAAIAu4jIAAACgi7gMAAAA6CIuAwAAALqIywAAAIAu4jIAAACgi7gMAACQotxutxzpa2hokKNURVwGAABIUe5e4eOy1+ORo1RFXAYAAAB0EZcBAAAAXcRlAAAAQBdxGQAAANBFXAYAAAB0EZcBAAAAXcRlAAAAQBdxOTl8Ho+ncLIsAAAAYFXE5SQ4e7CxZURBhoGFwQEAAJBcxOVEa62o9BROPtfU3GX6NHkIAAAAVkVcTqiTi5d8uaDI5/V2cmdn9MmVRwEAAGBVxOUEOdfU3DIi/3TZWq3MKhyjDQAAAGBlxOVEaKvZ2TI8/2zDx7IWcXn8WDkCAACAhRGX48vn8ZyYPvvEjJ/7vF55KC0to/f1ndzZsgAAAICFEZfj6ExtfcuIgrYdu2T9tS4z7pUjAAAAWBtxOS58Hs/JxUu846eca2qWhwJkjhgqRwAAALA24rL5zncqjyjwX9XXTubwoelOpywAAACSJ9sdfheIhoMNcpSqiMtm8ncqh5xU1nS+c5gcAQAAJJXbQFz2eDxylKqIy6Y5vXrN8UFDgjuVA6U7HCwhBwAAYCPEZRNcuKQv/+QTTwcufxFSJlPLAAAAtkJcjsm5puYvFxR5x08JXFNZIZOpZQAAAFshLkfJ5/GcWra8ZXh+a0WlPBROJ3d258F5sgAAAIAdEJejISJyy4iCUy+sCNt9EYj14wAAAGyHuByZM7X1xwcP+XJBkWLtCz3sTgIAAGA7xGWjRFD2FE7W23kkLDa+BgAAsCPicnj+oPxV3V55KHJZhWPlCAAAAPZBXFYxJShrssazJgYAAID9EJdDMzEoC2x8DQAAYFPE5fbMDcoaNr4GAACwKeLyN1orKo8PHmJuUBbSHQ6WkAMAALAp4rLccCTq5eHCyrxzGJ0YAAAANpXScVnbwvr4oCGnXlgRj6Cs6czUMgAAgG2l+3w+OUwlbTU7T69eY27TRUjpTkeX6dNkAQAAQnH9eaMcpaW1XDtBjhB/zU1Nm3+/WRY6st3ZY8eNk0XquWRwXmrF5XNNza2bNrdWVMZvLhkAAETqirsul6O0tL/94Qs5Aiyg6wNzU6UZo61m54nps48Pjm/fBQAAADqYjh+Xzx5s/J/e/3Jixs/bduyShwAAAABjOn5czuiT26Nu96XLijN6Xy8PAQAAAMakRDNGutOZVTjGVVPt2l4lBukOh3wDAAAAoJSKK2P4PJ62ml2nli1PQBMzK2MAABAWK2Mk0fIXfyVH+ubNv1+OUk/KrYzRzpna+tbVa+Ld0+zaXpXRJ1cWAAAgSObsm+QoLa2t5D05QkJcc9XVcqTv088/k6OUlNLblHQenNe9rKRH7e4u06fGr0PjdNkaOQIAAIDdpHRc1nRyZ3dbvKhH3e7z6+q5s+VR87Rt3ylHAAAAsBvispTudHZdMK9H7fk1NMwNzT6vt62GxAwAAGBLxOX2sgrHmB6a2zZVyhEAAABshbgcmrmhuW3HLp/HIwsAAADYB3FZxcTQ3FbDnoIAAAD2Q1wOz5TQfHr1K3IEAAAA+yAuGxVjaD7b8HECdkUBAACAuYjLkRGh2VVT1fWBuVGs08yKcgAAALZDXI6YXHKubreIzvKQMexXAgAAYDvE5SiJ0HzpsmLX9qpLBg2Uh8I519R89mCjLAAAAGAHxOWYZPTJdVas6776JYMNza0Vm+UIAAAAdkBcNkHmiGFaQ7Os9bWyXwkAALCS7OzwU36NDQ1ylJKIy+bw76Gt7s1gQ2wAAGAp2W63HOnzpPZua8RlM3VyZzsr1nV7/BHFuhln2K8EAADAPojL5usyY1qPut2Zw4fK+mKtFZVsiB21G/vfcM1VV7e7PVtcLN8MAABgNuJyXKQ7nd3LSrqvfinkNDMbYkfnwP79LS0tsgjQq1eOHHVc4mtfVVIqbosWLmz3bEG7aW+V751A2udtdzJ35xeIg+Kc5Tsl1p5397Q7H/8tKd8iAIDdpft8PjlEHJxraj7xwMNf1e2V9QWXDBrorFgnCxi2bcvWuXPmyCLA69VVffv1k0UHcuTw4a1btr4n0t+7e+QhA2bOnvVQUZEs4uZ8fC8tFT8RWeu4+Zablyxd2isnoc9nbr/1NvGtk8XFxHdGfH9kAcBKMmffJEdpaW0l78kREmLSPRP21tfLQse6jRvyBg2SRephdjm+/N3Msr5ApGc2xI7CgQMhZitdLlfHy8qrSkpv7H+DiH3PFhdHlJUF8bF35xeEnIY3y6KFC8WnCJuVBXHy4j0TOc28cf0GvawMAEB0iMuJ0GXGNNf2qsC1mdkQOwohg+NNt9wsRx2FCJciJQfnXfHE4KGiog/2ffTp55+J2+vVVSNHj5Jvu5i4B5FoZWEqcc8ixItIKuuvzZw9y39W7eaSxRcydcqPExNhxedSN7J7PHF8FgE9R496xE0WAGBDxOUEyeiT66qp8l//x34lkRJJKOQkZd++HW1q+cjhI3IUoG+/fiKJilQqQrP/yIqVK/US87YtWyOdlg5L3GHI4Lu2vNzf/iHOasnSpdrYT/zsnknI5Zgixwc/zQikfivixOHIuu+nlYcOfSFrALAb4nLiaNf/aY0ZZxs+ZkPsiLynE/5yEtsXmwDBPSe9cnLWlv8uZAfwzFm6nbjv7XlXjswgnqtMnTIlOG6KoHzzxRP8ogw+VRHfQz7bMZHI8ayRYk0iLv/rAPf4iRvfqOJBD4AtEZcTrcuMaY5N5ekOBxPMERk5epT2cn+7m970qn0FzwovWbrUP6ncTt9+/fTeZGI8FUl06pQfyyKASMYhr5zLyeklRwFMn+1uZ1Vp+FUvmF1OltuHfFf897HFux59fJfX26odBAC7IC4nQefBec6KdeeOcLUf2hN5rl3MFZG03fRtO06duGyiRQsXhgyawX0XmpAT4du2hr80MGoiiwd2VOs9ifIQl5Pkjtu/27Pn+VU1q6obCydsoDEDgL0Ql5Mjo0/upS/wwjHaC+45+dms2XKkI95X0a0qKQ05MTxh0sSQsVhPXM/z5dISObrwBGPCxEmygGWIxKwNjh3zjp+4sWRVmFWrAMA6iMtJk+50yhHwtcMXZ0qRR9VTy4qOC1PW12tpaXlZp8lhwsSJchQk5FS0OBinxLxx/YbAQK9YdrqlhfUZkuZH+blydEHpqr3jmWYGYBPEZVjUqqC94oJvHe/SLv+KbNrtrXfelm/QoWgINmXNEJGVQ2ZfEeIVcTzBPQ+BXcsTJk1UnFjIrwWJcd11l2v9GH6HPvm7Ns1MNzMAiyMuw6KMLJHb8VaRi5Te8he9cnJivwhShEu9XaNHjhotR6EcDrUWnqB3PBbiDP2T1i6XS7FUCJJuyuQb5ChA6aq9hRM2vPnWX2QNANZDXIZFPVRUpNiJQ9Px9iiJiGJx5YfN2Ac7eDsSjUil6p9LvNup/USgD+wV+dmsWRG1UyPB7riwPkawY8e8D/xyy/SfVrKbCQBrIi7DukLueeEngpHeGmoGHdi/v113Ryy3G/uHmDmLHxFJ9bbumzl7linr6+l1LYtnKYrvvKKd2uUyuV8/cPtDcUoTJum2U2sSluMR0pVXOgfc+M3mpu28/0HzyLvWPvPcO/RmALAa4jIsTWQgvfnCvv36ylG0Duw/IEdmSORUt8iIc+f8ImQnroiMimvdjNu2ZWvI+xdGKTsxQu5KqInx6U07IvsGzn+Lr9rc+0c8FFx8wV+wdev33Tl6DQ3NQCI5Daw90NDQIEcpibgMq9ObEYy9cfnIETPnGhPWSL3n3T135xeEnMQVkVExHx+RPfqbAqqfGATvSuhnbqdE4OS6uOewU8uwAv9ycgonTrSVrtorQjO7AAKJ4fGE74Pq3bu3HKUk4jIsTfHquXqFNSMUy0pEIQHbcYuIPHfOnKlTpgR/W/r26/d6dVXIPfais21L6F1FxCdST+K2WwvPz9ysLH52gT8+473a9GMkl8ORFXaCWSNC82OLdxGaAVgBcRmWpuiXiDF+tQTtnxej+DVjrCopFbfbb73t7vyC4BQr8uuKlStFVlYsoBYp8Z3R68QYOSpMV3TwTiuakDtjRy1wDUHxxMmUXm0khrYhtkHHjnn9oZn2DADJQlyGpem9sh92jjMsc2cZYz+fYCIRahcRioG4BZ/wzNmzREoOu35IFBTz7mG3TdHL2Sam+Y3rNwQ+1Qm78SEs5Y7bv9u9e6YsjPGHZnqaASQFcRmWpvfKfuydGCK9BW4IEuNNZFZ5v+YJ2ysigqniurpYKPqP1alXcc69epnTjCG+6nb7kkT0yxCPtZ8RqR8VGOrHaMff0/zo47tYcg4w0d768JvSG7kcsANL9/l8cghYz439bwg5W7lk6dKOfWmX+KoNrkwn8utDRUWxP38IpPdtF59L/cRg7pw5ek3PZrWLrCopDezEeOudt4Pbco4cPnz7rbfJ4mJry8vN/V75HTr0hdfbJgsoHT7S8sRT/y6LaA24MXvypBuMXDsIW8icfZMcpaW1lbwnR4g/j8fzL9/vLwt9n37+mRylJOIyrOvA/v135xfI4mJmZS+7EOF14/oN27Zu1eu3FonZrOv8FFlTfAr1KnV6Odvlcn2w7yNZxECcm/iV8H8KvfNJSlye/tPK9z9olgUSpWdPx48Kcn+Un3vllSk99dUBEJeTpb6ubvKE8NNPKR6XacaAdeld5yeyV0plZUF8yVqnsl5afba4WG9aN1KKyyvVi+UpGpfNug5yVWmp/1OI78nPIt/yOrgF3CwnT56UIyTQsWPe0lV7R961duq03x09+nd5FIBhIi7Lkb6BeXlylKqIy7AuvXWRE7khiNWI0Kw3i7xo4UK9tBoRvX5xQb01jKJx2ZRFqUUcD9yXRGRl0y+vjEW3bt3kCIl13fe+8+Tiob9eMf7KK78jDwEwrOFg+P1H3G63HKUqmjFgXXqbcYRtCejYRCbWa2s2pSXj2eLiVSUhtr8O21AR78blqVOmhL38Maz4db0/89w7hw4xu2lIa9vZ/fv/JosYFOTnTpnU/7rrLpc17IxmjGT5Qb/ve71eWeh45LFH773vPlmkJOIyLEoRClesXJni6+zqPZEIeymeEYsWLgycxPW7+Zab15aXyyKI4udlylmJIC7iuCxiYMozCsSofP1Hzz73R1lETutXnjLpBocjSx6Clfz1H8emr11ScMOtPxk8ukfX7vJoONHFZfG5Xq3d+lHTJ5tnfXMFMIxrbGjIHzVaFvrWbdyQN2iQLFISzRiwKEWPaYzNGCLYaesZm3LTy4hx5XKFvqpJ70LAiOh959XTw3q7kwhhdzYx4pmA1TBgd1XRbtSn9V1s3zJt9sw8srJl/fO3ez4/fv6DFb/6pwXDx5YWvVq75fipE/JtJhF3KO52wNM/uXbR2OVvvrascL58AyK0+fe/lyOlFM/KAnEZFqX3snuvnJwYO1YVwS4K6nbejsTpVH3bt27dIkdBYm9+WFVSGhji15aX+1e81rvJd4X1HDr0xaFPIu5aGXBjdtnLYzZtnBjdms1IsP7ua1f/5BExqN73xxmvPn3tI2Omr11Ste8d7a2xEHciIrgI4uJu/9T0qTjy+1n/RwR07a2I1M6aHXKkj+v8BOIyLEp/P79Y46liD44opM4aHTn6u463tLTodS2LrBzj0xtx5y8H7Ety8y03x7ISnMdjwtWQiMUb1ZFNLWtBuew3YwYMyJaHYAc/GTz6x4PkK0stp078rm7ruNL/dc0jY35Z8eK+pj9rx40THyIC9+ULhos7ERFcHk1Le67w/tu+9y+yQITq6+qam8MvfzlocKpPLQvEZViU3hxw7GssKFZ+iIIpaz5ESm+tt+ANO0zUK6eXHAUJ2eusmRn5Wm/tiKwsErMsYt7yOvCukBRvvvUXOQqHoGx3z4+f/333NbK44PB//23Fm5v+9empA57+yfI3X/vrP47JN+gQ7yDitQjZ4kNE4BaxW77hgvz+P5x3xz2yQOQ2VxjqxBg2fLgcpTDiMqxIZBq9WBP7HhPmNmMkflU7xfLGpnSG6GVuRRbfuCF0XJ4waWKMCf7I4cOBy3QYn1q21Bpz8BNZ+dixMNfgCwTljqFH1+5lUx+VxcX+1PTpgxW/unbR2JDNzaIUYVprTRbxWoRs+YYALv07hxFNTU2VmzfLQl92dnZu796ySGHEZViRItHGGL8UWTMKIpPFGMvmzpkTeOGgkWv1FIupiSwpRwG2bdka+Cn8N73P1atX6O+w3lcqzifk1YHi/WNf76/dFX4TJk6So3CcOmdr4k8fUXhrd5ip5Z49HU8uHkpQ7jD6u699rvB+WYSiNTf/04KL5i9FKcK01pqsp2zqIuPLbiBYpbGL/IaNYGr5POIyrEi/cblfjPFU3EO7a8JiucW+sXO7JwZHDh+RI316U7niOxPyojq95hO9Jx6KHuWQXi4tkaOLiawc4w9LBPHAlmhxb7EvIOghLieP19v65lv/JYsg3btnzpo5cPuWaVzM18HMu+OeW6/9gSxMMveO8QX9b5UFIufxeF4p+60slMaOGydHqY24DCvSm/iMvRPDUoKnusNehthujYhAelO5Ie9T8cTjpltuNh5zN67fEHK2WwT32BfEePbiqWVT+l5aWjxyhIR7862/nDjRJouLFeTnasvDyRodS9nURS7zZoJzvnXFo3fNkAWisuSJJ8NuTSLkCnRiXEBchhXpXcqmXsvMdoK/TJE+Fd0CIl63S5B+I0eP0ounITtbFE889CZxg5/DiOAe8nzEnS9ZulQW0RLfinafMaKrKvWeVOgdRwKE7MTo2dNR9vKYp54YyjrKHdg/f7unidfkLRs/nzaMWDQ2NBjpWhamTU/pnfwCEZdhOcFzrn4xvrhvNUeOtI9u4gvXC8R73t0zdcqPZXGxvv366cVTkQ5DfjPV0TPkchbtZpHF3c6d84vgOxdZWbH5n0Ehg7jxn35wsvcTJ6x4K+LH620Njsta9wVtyqng0bumt1slIzr5/X9IG0aMHv7lg3Kk5HA46MTwIy7DckK+uK8Jzpe2FvIr3bh+w9QpUwJ7drX9n8XBkMH3Qjz9nV6U1JunV6+h0SsnJ7i1Q+RX/4Jx4pRCbsQ9cvSo2LOyXhA3vmD2tq2hF4HW6DV/I67aLbd83fe+s2nDBLovUsrzMe+95+ranQ38YrT8xRcbGw2tfX4vU8sB0n0+nxwC1iBiWeDaYe2IGDdzdqxL+VqBiIOxb6Ad9rsR8pspsrWRixQXLVzoz8dhiftcsnRp7JfiiSD+THGxXsuEkZ+++vdH02F+i2xk/IQN/s38Zs0cSFBOTdPXLvldnerZrNqjo6c/etd0WSByjQ0N+aNGy0LJ4XC8veddp9Mp65RHXIblhJy2bGdteXkHuOxPhMKtW7Zu27o1ivYAEfgmGNgwT28OeMXKlbJQEnFZhGZZ6BDn8LNZs0xJn0aSbt9+/V6vrpLFxcTHinuQRTiK+4Hpjh71jLxrrRj07OlY8sQwui9S1l//cWzA01Pb7TZiUM63rvj06UpZIHIejyd/5Cgj2/gJ8+bfP28+E/nfoBkD1mKwtdSU/TiSrldOjkiZIrR9+vln4gmASMDipvc0QGuQEDft/cUHhs3KQshvpvFr5kQiF59LfNLgNCzOUxwXp/3Bvo/MmqlV9OH4KZ4mRbTBdQd4umUj5evPv5ox4Mbsio0TycqpLJZr/paNJ73FZNZPf2YwK2dnZ0+7j06MizC7DACIrztHr7nj9u8+/CBXaOH8jn0Dlvwk5EZ9Crde+4NdCwy9JoaQHv7lgwZXwxCKn3uWi/zaYXYZABBHR496Zs/MIytD06Nr98ci7z+mZTkWEWXlgXl5ZOVgzC4DAICEuuaRMcYnmPP7/3DzLKOXJaCdiLKyw+Go3rbV7XbLGl9jdhkAACRURI3ILB4XtYiysjDvgflk5ZCIywAAIKEK+t9667U/kIXSjweN+udv95QFDPN4PJPumRBRVh6Yl3cvV/jpIC4DAIBEM9iOHEWjM86vrzxy1N76elkb4HA4Sn/zsiwQhLgMAAAS7bbv/UvYCWamlqOw/MUX80eNNrhmnN/61zayKYkCcRkAACTBvH8LswYzU8sR0SaVl7/4K1kbVvzcs7m9e8sCoRCXAQBAEhT0vzXnW1fIIghTy8Y1NTU9/MsH80eNbmxslIcMmzf/flaOC4u4DAAAkkMxf/yTwaPkCPpEUF7y5JP5I0dFdFWf35ixY9ns2gjWXQYAAEkTcg1mtvELq76ubnPF76NLyRqRlZ95/jlZQInZZQAAkDRTB4+WowBh25pTVmNDw5Inn7zt5lsmT5hIVk4YZpcBAEDSHD914tpHxrScOiHrtLScb13x6dOVskh5TU1NzU1N9XV1DQcbxH+9Xq98Qwzmzb+fHoyIEJdNNumeCXIEAAAM+I9L//HXrC9lkZbW/+Rl1552yCKFeT2eKC7dC6v4uWe5ti9SxGWTXXPV1XIEAAAM+KprxtEh/6SNO33lu3L3/+105pxWwkTZ2dmlv3mZNeOiQO8yAABIpktOnc367zZt3PX/O01Wjoehw4ZVb9tKVo4OcRkAACRZ96aT2sDx+TddGTCFw+F45LFHS3/zMvv2RY24DAAAkuzS5lOdfZ0yvWcyPWfkIZhhYF5e9bat9953n6wRFeIyAABIvqvaLnV8xtSyabKzs0teXrX+tY1ut1seQrSIywAAIPmcn5/s+n9bZYEYOByOefPvr962ddjw4fIQYsPKGCZjZQwAAJAUIijfO/2+affdR5uyuYjLJiMuAwCABMvNzZ02/T4WVI4T4rLJiMsAACAxsrOzh40YPu2++2hQjivissmIywAAIK4G5uWJlDxo0CDWUU4M4rLJiMsAAMBEDodDxOLefXpnu93i//MGDZJvQKIQl01WX1cnRwAAADEQ+ZguCysgLgMAAAC6WHcZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxOXk8Hk8JxcvkQUAAACsiricBCIrewon+zxeWQMAAMCqiMuJdvZg4/FBQ842fNx5xFB5CAAAAFZFXE6o06vXtNxZ4PN6O7mzM0cMk0cBAABgVcTlBPF5PCemzz75xNNamcnUMgAAgB0QlxPh7MHGlhEFbTt2yTotLatwrBwBAADAwojLcXdq2fKWOwvONTXLOi0to/f1GX1yZQEAAAALIy7H0YVJ5fxTL6yQ9deYWgYAALAL4nK8aJPKZxs+lnWAzDu5yA8AAMAeiMvm05tU1lwyaGAnd7YsAAAAYG3EZTP5PB7FpLImazydGAAAALaR7vP55BCxOVNb/+WCosBL+kK67OAH6U6nLAAAAGBtzC6bQETkE9Nne8dPCZuVswrHkJUBAABshLgcE9l9MTw/cE1lBTa+BgAAsBeaMaLXWlEpsnLYGWW/dIfjsoYPZQEAAAA7YHY5Gmdq6z2Fk410KgfKGj9GjgAAAGATzC5H5nyb8gMPf1W3V9aRcG2vYjM/AAAAeyEuGyWC8qlly1srKmUdoU7u7B61u2UBAAAAm6AZIzwRlL9cUHR88JCos7LQZfo0OQIAAIB9MLusEuOMcqAetbvZzA8AAMB2iMuhmRiUhYze17tqqmUBAAAA+6AZoz1TWi/a6TLjXjkCAACArTC7/I0ztfWtq9cY3HAkImx8DQAAYFPE5fNaKypbN22Obnm4sDKHD+1eViILAAAA2EpKx2Wfx9O6qfJ02Zpzkew2Eqnuq1/KHDFMFgAAALCVFI3L2pV8bdt3+rxeeSg+0rt1677mZVkAAADAVjJ6uVMuLse17wIAAAAdSdcH5qZKXD57sLG1YnPrpsp4TycDAACgwxBxueMvJCeCcsuI/JY7C06XrSUrAwAAICIdPy5n9Ml1lJV2mT413eGQhwAAAABjUqt3mcZlAAAAGJdCvcuBzjU1n179SmL6mNO7dcv4fl9ZAAAAwFayxo9N0YXkNK0VlaeWLY/rosuCa3tVRp9cWQAAAMBWOn7vskJW4Zgetbsdm8ozhw+Vh+KgtWKzHAEAAMBuUnp2OZC2cUlrRaWszdPJnS1CuSwAAABgK8Tli/g8ntOr14ibuW3N7IMNAABgUyndjBEs3ensumBej7rd56+CNG/huTM1u+QIAAAAtsLssi4TZ5pF8hYRXGRxWQMAAMAmmF3WZeJMswjcbUwwAwAA2BBxOQyzQvOZ7TvlCAAAAPZBM0YEYmzPuOzgB/RjAAAA2AuzyxHQZppdO6qzCsfIQ5Fo3WT+KnUAAACIK2aXo3T2YOOXi5d8VbdX1gZk9L7eVVMtCwAAANgBcTkmbTU7Ty5+2vg22j1qd3dyZ8sCAAAAlkczRkwyRwwTCdj4VYCnV78iRwAAALADZpfNca6p+eTjS9p2hFktjg2xAQAA7IXZZXOIHNy9rMSxqVzdayFS9ZnaelkAAADA8ojLZuo8OM9VU9X1gbmyDqWtgvUxAAAAbINmjLg4e7DxxIKHzzZ8LOsA6Q7HZQ0fygIAAADWxuxyXGT0yXXVVIecZvZ5va1MMAMAANgEcTmOzu9psr0qo/f1sv4aG2IDAADYBc0YcefzeE4tW366bK2sL2BDbAAAAFtgdjnuRCzutnhR99UvBa7N3FYTZsk5AAAAWAFxOUEyRwxz7aj2N2awXwkAAIAtEJcTp5M721VTnVU4RozPNnxsfOtsAAAAJAtxOdEuXVYsbmLQummzdgQAAACWRVxOgqzCMa7tVW01rI8BAABgdayMkTTnmprVO2YDAAAg6YjLAAAAgC6aMQAAAABdxGUAAABAF3EZAAAA0EVcBgAAAHQRlwEAAABdxGUAAABAF3EZAAAA0JGW9v8Dex1Dqy6YzEwAAAAASUVORK5CYII=)
A solenoid is used in a laboratory experiment. It is 25.0 cm long with 800 loops of wire and carries a 6.0 A current. A U-shaped copper wire carrying a 3.0-A current is placed inside the solenoid. The U-shaped wire has a side of length 10.0 cm and is perpendicular to the solenoid's magnetic field as shown. Given μ0 =4π×10−7 T⋅m/A, what is the net force on the U-shaped wire?