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Q1)True or False? Justify your answer. Assume cost is always non-negative. a) 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. b) A* tree search is optimal if the heuristic is consistent. c) The Euclidean distance is an admissible heuristic for Pacman path-planning problems. d) Azeroheuristicisconsistent. e) The sum of several admissible heuristics is still an admissible heuristic. f) The admissibility of a heuristic for A* search implies consistency as well.
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