24 bday problems

As is tradition, the prize pool has increased (to $300 this year).

I have collapsed first and second place into a winner-takes-all arrangement (c'est la vie).

Furthermore, there are additional changes to the structure of this Game:

1. you must now pass the problem set to be awarded the prize money
2. you may submit your solutions to the problem set at any point in the future – hopefully your children are smart enough to solve these problems
3. if you plagiarise work, I reserve the right to ban you from all subsequent competitions — grim trigger

4. the problem set will now be courteously supported by my JavaScript $\LaTeX$ engine and a PDF will be generated as an artifact of the site;

   • the problems can be found here or as a PDF here
   • my solutions will be available from the start of 2026; by viewing them you forfeit the prize money (obviously)
5. Good luck!