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In the following minimax game tree, are maximising nodes, and are minimising nodes. Note that there are two unspecified leaves nodes, which are marked as

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In the following minimax game tree, are maximising nodes, and are minimising nodes. Note that there are two unspecified leaves nodes, which are marked as x and y. (a) Assuming that y=0, for which values of x will the minimax value of the topmost node be x ? Give the reason for your answer. (3 marks) (b) Assuming that x=0, for which values of y will the minimax value of the topmost node be y ? Give the reason for your answer. ( 3 marks) (c) For which values of x and y will minimax with pruning not consider branch a ? (In other words: For which values of x and y will branch a be pruned away?) ( 4 marks)

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