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, ) 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)