Array Deletion Game

Alice and Bob are playing a game with an array $A$ of length $2\cdot N$. The game consists of $N$ rounds. In each round: 1. Alice chooses **any** element from the current array, adds its value to her score, and removes it from the array. 2. Bob then removes the **leftmost** element of the remaining array (without affecting any score). This continues until the array is empty. Determine the **maxi