Will anyone post an interesting math/algorithms koan/problem/exercise in the comments of this that I'll spend 30+min on?

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round five!

Unfinished questions from before and recursively before still count

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Prove that it is impossible to color a 2020*2020 square board with two colors such that

All unit squares on the boundary have the same color.
Every 2*2 square has two colors and no 2*2 square is colored like a mini chess board.

oh fuck me this shouldn't have taken multiple hours. i swear i'm good at math.

https://codeforces.com/gym/102586/problem/I

https://open.kattis.com/problems/distinctivecharacter

predicted YES

You have an arbitrarily large checkers board with a horizontal line across the middle separating the top half from the bottom half. You can place as many checkers as you like anywhere in the bottom half to start. Now you may move the checkers by jumping one over another up down left or right and removing the jumped checker (ie peg solitaire rules). How far above the line can you get a checker?

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Will an AI solve any important mathematical conjecture before January 1st, 2030?

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Will someone find an efficient algorithm for calculating DIscrete Logarithms on a classical computer?

By the start of 2026, will the Clay Mathematics Institute award its monetary prize for the solution of another Millennium Prize Problem?

Will anyone post an interesting math/algorithms koan/problem/exercise in the comments of this that I'll spend 30+min on?

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Will the next Millennium Prize Problem be solved by an amateur?

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Will an AI solve any important mathematical conjecture before January 1st, 2030?

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Will someone find an efficient algorithm for calculating DIscrete Logarithms on a classical computer?

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By the start of 2026, will the Clay Mathematics Institute award its monetary prize for the solution of another Millennium Prize Problem?