Question: 4) Please answer full question showing detailed work for thumbs up. In the game of chess, assume a rook can move on the chessboard any

4) Please answer full question showing detailed work for thumbs up.

In the game of chess, assume a rook can move on the chessboard any number of squares in a straight line, vertically or horizontally, but cannot jump over other pieces. Is the Manhattan distance an admissible heuristic for the problem of moving the rook from square A to square B in the smallest number of moves? If yes, explain why, if not why not.

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