Which of the following are true and which are false? Explain your answers. a. Depth-first search always expands at least as many nodes as A * search with an admissible heuristic. b. h(n) = 0 is an admissible heuristic for the 8-puzzle. c. A * is of no use in robotics because percepts, states, and actions are continuous. d. Breadth-first search is complete even if zero-step costs are allowed. e. Assume that a rook can move on a chessboard any number of squares in a straight line, vertically or horizontally, but cannot jump over other pieces. Manhattan distance is an admissible heuristic for the problem of moving the rook from square A to square B in the smallest number of moves.
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Question: Which of the following are true and which are false? Explain your answers.
a. Depth-first search always expands at least as many nodes as A * search with an admissible heuristic.
b. h(n) = 0 is an admissible heuristic for the 8-puzzle.
c. A * is of no use in robotics because percepts, states, and actions are continuous.
d. Breadth-first search is complete even if zero-step costs are allowed.
e. Assume that a rook can move on a chessboard any number of squares in a straight line, vertically or horizontally, but cannot jump over other pieces. Manhattan distance is an admissible heuristic for the problem of moving the rook from square A to square B in the smallest number of moves.
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