Simon's Trick! | 2026 USAJMO Problem 1

#mathematics #olympiad #math My thoughts and my solution to the 2026 USAJMO Problem 1. This is my first USAJMO solution, so please let me know if I did anything wrong! The actual solution begins at 2:10. The USAJMO is part of the American Mathematics Competitions run by the Mathematical Association of America. Like if you want to see my formal write-up, and subscribe for more math resources!