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Vowels Game in a String

Alice and Bob are playing a game on a string.

Alice and Bob are playing a game on a string.

You are given a string s, Alice and Bob will take turns playing the following game where Alice starts first:

The first player who cannot make a move on their turn loses the game. We assume that both Alice and Bob play optimally.

Return true if Alice wins the game, and false otherwise.

The English vowels are: a, e, i, o, and u.

Vowels Game in a String diagram

Example 1

Input: s = "leetcoder"

Output: true

Explanation: Alice can win the game as follows:

Example 2

Input: s = "bbcd"

Output: false

Explanation: There is no valid play for Alice in her first turn, so Alice loses the game.

Constraints

  • 1 <= s.length <= 10^5
  • s consists only of lowercase English letters.

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