1872. Stone Game VIII

Alice and Bob take turns playing a game, with Alice starting first. There are n stones arranged in a row. On each player's turn, while the number of stones is more than one, they will do the following: - Choose an integer x > 1, and remove the leftmost x stones from the row. - Add the sum of the removed stones' values to the player's score. - Place a new stone, whose value is equal to that