You are given the state of a Tic-Tac-Toe game represented as follows: X O X O...
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You are given the state of a Tic-Tac-Toe game represented as follows: X O X O X The game is played on a 3x3 board. 'X' represents Player 1, and 'O' represents Player 2. An empty cell is represented by a space. a) Draw the initial game state and expand the game tree by considering all possible moves for both Player 1 (X) and Player 2 ('0'). Assign utility values to the terminal states (Player 1 wins [+1]. Player 1 loses [-1], or draw [0]). b) Use the minimax algorithm to propagate values up the tree, assuming that both players play optimally. c) What is the best move for Player 2 (O) based on the minimax values at the root of the tree. Provide the final game tree with minimax values and indicate the best move for Player 2 You are given the state of a Tic-Tac-Toe game represented as follows: X O X O X The game is played on a 3x3 board. 'X' represents Player 1, and 'O' represents Player 2. An empty cell is represented by a space. a) Draw the initial game state and expand the game tree by considering all possible moves for both Player 1 (X) and Player 2 ('0'). Assign utility values to the terminal states (Player 1 wins [+1]. Player 1 loses [-1], or draw [0]). b) Use the minimax algorithm to propagate values up the tree, assuming that both players play optimally. c) What is the best move for Player 2 (O) based on the minimax values at the root of the tree. Provide the final game tree with minimax values and indicate the best move for Player 2
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