Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 3, Problem 4E
Explanation of Solution
Formulation for a planar map:
- The goal state has the numbers in a certain order, which is measured as starting at the upper left corner, then proceeding left to right, and when we reach the end of a row, going down to the leftmost square in the row below.
- For any other configuration besides the goal, whenever a tile with a greater number on it precedes a tile with smaller number, the two tiles are said to be inverted.
Proposition:
- For a given puzzle configuration, let “N” denote the sum of the total number of inversions and the row number of the empty square.
- “Nmod2” is invariant under any legal move.
- After a legal move an odd “N” remains odd whereas an even “N” remains even.
- The goal state with no inversions and empty square in the first row, has “N=1”, and can only be reached from starting states with even “N”...
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Chapter 3 Solutions
Artificial Intelligence: A Modern Approach
Ch. 3 - Explain why problem formulation must follow goal...Ch. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11E
Ch. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Trace the operation of A search applied to the...Ch. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 31ECh. 3 - Prob. 32E
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