5. For the following game tree, each player maximizes their respective utility. Let x, y respectively denotes the top and bottom values in a node. Player 1 uses the utility function U1(x, y) = x. Both players know that Player 2 uses the utility function U2(x, y) = x -y. DA P1 P2 P2 P2 1 7 1 2 10 A. Fill in the rectangles in the figure above with pair of values returned by each max node. B. You want to save computation time by using pruning in your game tree search. On the game tree above, put an 'X' on branches that do not need to be explored or simply write 'None'. Assume that branches are explored from left to right. 53

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