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.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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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.

Note: All 5 quires are written perfectly and well explained with proper

logic.

1. 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. Breadth-first search is complete whenever the branching factor is finite, even if zero step costs
are allowed.
d. 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; then 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.
Transcribed Image Text:1. 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. Breadth-first search is complete whenever the branching factor is finite, even if zero step costs are allowed. d. 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; then 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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