Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 3, Problem 16E
a.
Explanation of Solution
Formulation:
- Initial state: one arbitrarily selected piece (say a straight piece).
- Successor function: for any open peg, add any piece type from remaining types.
- For a curved piece, add “in either orientation”; for a fork, add “in either orientation” and connect “at either hole”...
b.
Explanation of Solution
Search
- All solutions are at the same depth, so depth-first search would be appropriate.
- The space is very large, so uniform-cost...
c.
Explanation of Solution
Reasons for not removing any one of the “fork” pieces:
- A solution has no open pegs or holes, so every peg is in a hole, so there must be equal numbers of pegs and holes. Removing a fork violates this property.
- There are two other “proofs” that are acceptable:
- a similar argument to the effect that there must be an even number of “ends”...
d.
Explanation of Solution
Upper bound:
- The maximum possible number of open pegs is 3.
- Pretending each piece is unique, any piece can be added to a peg, giving at most 12 + (2 · 16) + (2 · 2) + (2 · 2 · 2) = 56 choices per peg...
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Chapter 3 Solutions
Artificial Intelligence: A Modern Approach
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