B- Imagine you are trying to solve the following puzzle using the A* search algorithm. The puzzle involves two-digit numbers from 10 to 99. There are two legal actions: you can add 1 to any digit except 9 and you can subtract 1 from any digit except 0. (E.g., 10 can be changed, in one step, to 20 and 11, while 99 can be changed to 89 and 98). There is one restriction: you can never create the number 55. All actions have cost 100. The task is to find the shortest solution path from a given start number to a given goal number. Design and justify an admissible heuristic function for this puzzle.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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B- Imagine you are trying to solve the following puzzle using the A* search algorithm. The
puzzle involves two-digit numbers from 10 to 99. There are two legal actions: you can
add 1 to any digit except 9 and you can subtract 1 from any digit except 0. (E.g., 10 can
be changed, in one step, to 20 and 11, while 99 can be changed to 89 and 98). There is
one restriction: you can never create the number 55. All actions have cost 100. The task is
to find the shortest solution path from a given start number to a given goal number.
Design and justify an admissible heuristic function for this puzzle.
Transcribed Image Text:B- Imagine you are trying to solve the following puzzle using the A* search algorithm. The puzzle involves two-digit numbers from 10 to 99. There are two legal actions: you can add 1 to any digit except 9 and you can subtract 1 from any digit except 0. (E.g., 10 can be changed, in one step, to 20 and 11, while 99 can be changed to 89 and 98). There is one restriction: you can never create the number 55. All actions have cost 100. The task is to find the shortest solution path from a given start number to a given goal number. Design and justify an admissible heuristic function for this puzzle.
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