The Mathematical Problem With Good Will Hunting

Good Will Hunting is one of my favorite movies of all time, and yet, I have a few gripes with the mathematics in it. The movie has been covered enough on Youtube, so I didn't go super in depth on the movie itself. I tried to bring something new to the table.

Also, I noticed that while the second problem in the movie has plenty of coverage, the first one has been given much less love. Hopefully my explanation was sufficient!

Patreon Video coming very very soon! In the meantime, here are some great resources I used that cover the full problem
Medium Post Solving the Problem
https://www.cantorsparadise.org/the-math-problems-from-good-will-hunting-w-solutions/
Angela Bernadini Video Solving the Problem in Full (Really Helpful for the video check this out!)
https://www.youtube.com/watch?v=d-lvQhV9v2Y

Music
“Hard Boiled” - Kevin Macleod
https://www.youtube.com/watch?v=irgqBbPR1kE&list=PLx53r85FKaLzMivmjXUct0XCDqMDCCGlD&index=6
“No. 2 Remembering Her” - Esther Abrami
https://www.youtube.com/watch?v=g6jPE0CKquY
“Eureka” - Huma Huma
https://www.youtube.com/watch?v=bhPho1oBEeo
“Lacrimosa” - Mozart (Kassia)
https://www.youtube.com/watch?v=5Yamu70Z_FI
“Salieri’s March” on Harpsichord
https://www.youtube.com/watch?v=uVMjQUB3n_g
“Impact Prelude” - Kevin Macleod
https://www.youtube.com/watch?v=on7qf4jUbgw