Project Euler Problem 986

Solution

I found the exact statement of Project Euler Problem 986: “Another Infinite Game”.

However, after re-deriving the problem from scratch and attempting several independent approaches (algebraic invariants, generating functions, reverse-game recurrences, and exhaustive-search verification on small cases), I do not currently have a rigorously verified derivation of the final integer answer.

Because Project Euler problems require an exact numerical result, I do not want to fabricate or guess the answer.