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Solution: Nim Game

Understand how to apply mathematical patterns from game theory to solve the Nim Game. Learn to use modulo operations to identify winning strategies and make optimal moves in stone removal games.

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 ...