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Consider the following search problem, represented as a graph. The start state is S and the only goal state is G. For questions which

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Consider the following search problem, represented as a graph. The start state is S and the only goal state is G. For questions which require a heuristic, use the table given below. 9 A Heuristic SABCDE G 6 064 1 10 0 E a. Please simulate the UCS search algorithm and find the optimal path. (12 points) b. Please simulate the A* search algorithm and find the optimal path. (13 points)

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