Triangular Tic-Tac-ToeLogic Level 2
Alice and Bob are playing Tic-Tac-Toe on the above triangular board. They play as in in normal Tic-Tac-Toe: taking turns, each player claims one square. The first to claim three squares in a row (vertically, horizontally, or diagonally) wins.
Alice plays first. Alice and Bob both want to win and play optimally. Which of the following is true?