(A) Give the search tree that results from running Depth First Search on the following graph, with source 0. Assume that adjacency lists are ordered from smallest to largest. {(0, 1),(0, 2),(0, 4),(1, 0),(1, 3),(1, 4),(2, 0),(2, 4),(2, 5),(3, 1),(4, 0),(4, 1),(4, 2),(4, 5),(4, 6), (5, 2),(5, 4),(6, 4),(6, 7),(6, 8),(6, 9),(7, 6),(7, 8),(7, 9),(8, 6),(8, 7),(9, 6),(9, 7)} (B) List the vertices encountered, ordered by starting time, when running DFS on the graph above. (C) List the vertices encountered, ordered by finish time, when running DFS on the graph above. (D) Give the search tree that results from running Breadth First Search, with source 0, on the graph above. (E) List the vertices in the order visited by BFS.

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Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.