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Given the usual 3-blocks world (calculate heuristic as the number of misplaces blocks from the goal state configuration, and in the case of a tie,

Given the usual 3-blocks world (calculate heuristic as the number of misplaces blocks from the goal state configuration, and in the case of a tie, select the node with the lower alphabet), starting at state 13 with a goal of getting to state 17, give the number of expansions and the expansion order for each search tree specified below:

- A. B. C. D. E. F. G. H.

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- A. B. C. D. E. F. G. H.

A*

A.

4 expansions, 13, 9, 8, 16

B.

5 expansions, 13, 9, 8, 10, 16

C.

6 expansions, 13, 9, 14, 8, 10, 16

D.

6 expansions, 13, 9, 8, 10, 14, 16

E.

7 expansions, 13, 9, 8, 10, 15, 14, 16

F.

8 expansions, 13, 9, 14, 8, 10, 4, 15, 16

G.

10 expansions, 13, 9, 8, 4, 3, 2, 1, 5, 6, 16

H.

13 expansions, 13, 9, 8, 4, 3, 2, 1, 5, 6, 7, 14, 15, 16

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