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g3301_3400.s3360_stone_removal_game.readme.md Maven / Gradle / Ivy

3360\. Stone Removal Game

Easy

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

*   Alice starts by removing **exactly** 10 stones on her first turn.
*   For each subsequent turn, each player removes **exactly** 1 fewer stone than the previous opponent.

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

**Explanation:**

*   Alice removes 10 stones on her first turn, leaving 2 stones for Bob.
*   Bob cannot remove 9 stones, so Alice wins.

**Example 2:**

**Input:** n = 1

**Output:** false

**Explanation:**

*   Alice cannot remove 10 stones, so Alice loses.

**Constraints:**

*   `1 <= n <= 50`