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Stone Removal Game

Alice and Bob are playing a game where they take turns removing stones from a pile, with Alice going first.

Alice and Bob are playing a game where they take turns removing stones from a pile, with Alice going first.

The player who cannot make a move loses the game.

Given a positive integer n, return true if Alice wins the game and false otherwise.

Example 1

Input: n = 12

Output: true

Example 2

Input: n = 1

Output: false

Constraints

  • 1 <= n <= 50

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