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Solution: Nim Game

Understand how to solve the Nim Game by applying game theory and math patterns. Learn to determine if you can win by checking if the number of stones is a multiple of four, allowing you to play optimally and secure victory. This lesson explains the core concept and efficient solution.

Statement

You and a friend are playing a game called the Nim Game with a heap of stones. The rules are as follows:

  • There is a single heap containing n stones.

  • You and your friend take alternating turns, with you going first.

  • On each turn, the current player must remove between ...