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a) Consider the operation of the Minimax algorithm over the above search tree and indicate the value of each intermediate mode. b) Consider the operation of the Minimax algorithm with alpha-beta pruning over the above search tree. Indicate which nodes will not be consider by this algorithm (you can reuse the figure and mark them visibly or mention which intermediate and terminal nodes are not visited in text). Furthermore, indicate the alpha and beta values on each intermediate node that is visited. e) What action will the MAX player choose at the root state according to the exhaustive Minimax algorithm? What action will the MAX player choose at the root state according to the Minimax algorithm employing alpha-beta pruning? In general, is the best move computed by the two versions of the algorithm guaranteed to be the same or not?

a) Consider the operation of the Minimax algorithm over the above search tree and indicate the value of each intermediate mode. b) Consider the operation of the Minimax algorithm with alpha-beta pruning over the above search tree. Indicate which nodes will not be consider by this algorithm (you can reuse the figure and mark them visibly or mention which intermediate and terminal nodes are not visited in text). Furthermore, indicate the alpha and beta values on each intermediate node that is visited. e) What action will the MAX player choose at the root state according to the exhaustive Minimax algorithm? What action will the MAX player choose at the root state according to the Minimax algorithm employing alpha-beta pruning? In general, is the best move computed by the two versions of the algorithm guaranteed to be the same or not?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Two players, the MAX and the MIN are playing a game where there are only two possible actions, "left" and "right". The search tree for the game is shown in following figure. The leaf/terminals nodes, which are all at depth 4, contain the evaluation function at the corresponding state of the game. The MAX player is trying to maximize this evaluation function, while the MIN player is trying to minimize this evaluation function. MAX MIN MAX MIN MAX OOOO Figure 1: The adversarial search tre a) Consider the operation of the Minimax algorithm over the above search tree and indicate the value of each intermediate node. b) Consider the operation of the Minimax algorithm with alpha-beta pruning over the above search tree. Indicate which nodes will not be consider by this algorithm (you can rease the figure and mark them visibly or mention which intermediate and terminal nodes are not visited in text). Furthermore, indicate the alpha and beta values on each intermediate node that is visited. c) What action will the MAX player choose at the root state according to the exhaustive Minimax algorithm? What action will the MAX player choose at the root state according to the Minimax algorithm employing alpha-beta pruning? In general, is the best move computed by the two versions of the algorithm guaranteed to be the same or not?
Transcribed Image Text:Two players, the MAX and the MIN are playing a game where there are only two possible actions, "left" and "right". The search tree for the game is shown in following figure. The leaf/terminals nodes, which are all at depth 4, contain the evaluation function at the corresponding state of the game. The MAX player is trying to maximize this evaluation function, while the MIN player is trying to minimize this evaluation function. MAX MIN MAX MIN MAX OOOO Figure 1: The adversarial search tre a) Consider the operation of the Minimax algorithm over the above search tree and indicate the value of each intermediate node. b) Consider the operation of the Minimax algorithm with alpha-beta pruning over the above search tree. Indicate which nodes will not be consider by this algorithm (you can rease the figure and mark them visibly or mention which intermediate and terminal nodes are not visited in text). Furthermore, indicate the alpha and beta values on each intermediate node that is visited. c) What action will the MAX player choose at the root state according to the exhaustive Minimax algorithm? What action will the MAX player choose at the root state according to the Minimax algorithm employing alpha-beta pruning? In general, is the best move computed by the two versions of the algorithm guaranteed to be the same or not?
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