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I can't understand what "optimally" means.

IIXXIIIIII if my turn is first how can i win if i and my friend knockdown all two pins which are adjacent to each other

II - my turn XX -skipped II - his turn II - myturn II -his turn

Here is Bowling Pins problem solution in Python Java C++ and c programming - https://programs.programmingoneonone.com/2021/07/hackerrank-bowling-pins-problem-solution.html

Hello! I've left my Java 8 solution here in case anyone has trouble.

Just keep in mind: - GrundyNumbers. - Minimum Excludant. - GrundyNumber of multiple games is the XOR of the grundy numbers of the games. - You only have to evaluate a state once.