(Uninformed and Informed Search) For the graph and the heuristic function given below, use the different search algorithms to find the path from the starting node/initial state to H (final node/goal state). Also, show the order in which the nodes are expanded as well as the contents of the fringe after each expansion. Note: When there is a tie for expansion, use the following priority order: A > B > C > D > E > F > G > H.
Heuristic function: h(A) = 19, h(B) = 20, h(C) = 11, h(D) = 13, h(E) = 6, h(F) = 8, h(G) = 2, h(H) = 0.
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DFS BFS Uniform Cost Search Greedy Best-First Search