Q2. Consider the following search problem, represented as a graph. The start state is S and the only goal state is G. The required heuristic is also given below. Heuristic E SAB|C|D| E|G 6 16 4 1 10 0 Perform UCS, GBFS and A* on the graph. Show that in Greedy Best First Search (GBFS), smaller numbers of nodes are expanded; however, GBFS does not show optimality. Show a path that UCS expands but A* does not.

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