which of the following tic - tac - toe configurations has a child that is a leaf if x plays next?
which of the following tic - tac - toe configurations has a child that is a leaf if x plays next?
Answer
Explanation:
Step1: Understand leaf - state in tic - tac - toe
A leaf state in tic - tac - toe is a terminal state (win, lose, or draw). We check each configuration for a move by X that leads to a terminal state.
Step2: Analyze first configuration
In the first configuration, if X plays in the empty cell, it doesn't lead to an immediate win, loss, or draw for either side.
Step3: Analyze second configuration
If X plays in the empty cell in the second configuration, it doesn't lead to a terminal state.
Step4: Analyze third configuration
In the third configuration, all cells are filled, so it is already a terminal state (a draw). But we are looking for a move by X to create a terminal state. Since it's already terminal, this is not what we want.
Step5: Analyze fourth configuration
If X plays in the empty cell in the fourth configuration, X will win. So, making this move by X creates a terminal state (a win for X), and the resulting state is a leaf.