function ALPHA-BETA-SEARCH(game, player game.TO-MOVE(state) value, move+MAX-VALUE(game, state, -, +00) return move function MAX-VALUE(game, state, a, 3)...
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function ALPHA-BETA-SEARCH(game, player game.TO-MOVE(state) value, move+MAX-VALUE(game, state, -∞, +00) return move function MAX-VALUE(game, state, a, 3) returns a (utility, move) pair if game.IS-TERMINAL(state) then return game.UTILITY(state, player), null 1118 for each a in game.ACTIONS(state) do v2, a2-MIN-VALUE(game, game.RESULT(state, a), a, 3) if v2 y then v, move-v2, a a MAX(a, v) if v 28 then return , move return v, move state) returns an action. function MIN-VALUE(game, state, a, 3) returns a (utility, move) pair if game.IS-TERMINAL(state) then return game.UTILITY(state, player), null 14+00 for each a in game.ACTIONS(state) do v2, a2+MAX-VALUE(game, game.RESULT(state, a), a, ß) if v2 < v then v, move+v2, a B-MIN(B, v) if va then return v, move return v, move a = the value of the best node (highest value) we have found so far at any choice point along the path for MAX B = the value of the best node (lowest value) we have found so far at any choice point along the path for MIN Problem: Calculate the minimax values for the non-leaf nodes in the search tree below. Also, identify the nodes (or sub-tree) that will be pruned. Assume: 1) that MAX plays first at node A followed by MIN, and 2) actions are taken in alphabetical order. Clearly show ALL updates of alpha, beta, and v at each note. A E B (4) (5) (6) H (3) M N (4) (7) (9) D (3) K (8) function ALPHA-BETA-SEARCH(game, player game.TO-MOVE(state) value, move+MAX-VALUE(game, state, -∞, +00) return move function MAX-VALUE(game, state, a, 3) returns a (utility, move) pair if game.IS-TERMINAL(state) then return game.UTILITY(state, player), null 1118 for each a in game.ACTIONS(state) do v2, a2-MIN-VALUE(game, game.RESULT(state, a), a, 3) if v2 y then v, move-v2, a a MAX(a, v) if v 28 then return , move return v, move state) returns an action. function MIN-VALUE(game, state, a, 3) returns a (utility, move) pair if game.IS-TERMINAL(state) then return game.UTILITY(state, player), null 14+00 for each a in game.ACTIONS(state) do v2, a2+MAX-VALUE(game, game.RESULT(state, a), a, ß) if v2 < v then v, move+v2, a B-MIN(B, v) if va then return v, move return v, move a = the value of the best node (highest value) we have found so far at any choice point along the path for MAX B = the value of the best node (lowest value) we have found so far at any choice point along the path for MIN Problem: Calculate the minimax values for the non-leaf nodes in the search tree below. Also, identify the nodes (or sub-tree) that will be pruned. Assume: 1) that MAX plays first at node A followed by MIN, and 2) actions are taken in alphabetical order. Clearly show ALL updates of alpha, beta, and v at each note. A E B (4) (5) (6) H (3) M N (4) (7) (9) D (3) K (8)
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To solve this problem well follow the AlphaBeta pruning process as defined in the pseudocode provided Well walk through the tree from left to right ap... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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