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Grokking the Coding Interview Patterns

Solution: Nim Game

Understand the Nim Game strategy by using mathematical patterns. Learn how to check if the first player can win by analyzing the stone heap size with modulo operations and optimal moves.

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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 ...