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| == Problem Description == Solitaire is a single player game played on a 7x7 board with 2x2 corners omitted. Each position is either full (containing a peg / marble) or empty. With 'O' representing full positions and '.' representing an empty position, a possible board configuration is: |
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| == Problem Description == | [[attachment:board1.txt]] |
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| Solitaire is a single player game played on a 7x7 board with 2x2 corners omitted. Each position is either full (containing a peg / marble) or empty. With 'O' representing full positions and '.' representing an empty position, a possible board configuration is: |
Each turn the player must jump a peg over an existing peg and removed the 'jumped' peg. For example, numbering the board from the top left, moving peg (4,2) down would give the following board configuration: |
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| .OO <<BR>> .OO <<BR>> O.OOOOO <<BR>> OOO.OOO <<BR>> OOOOOOO <<BR>> O.O <<BR>> OOO |
[[attachment:board2.txt]] |
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| Each turn the player must jump a peg over an existing peg and removed the 'jumped' peg. For example, numbering the board from the top left, moving peg (4,2) down would give the following board configuration: .OO <<BR>> ..O <<BR>> O.O.OOO <<BR>> OOOOOOO <<BR>> OOOOOOO <<BR>> O.O <<BR>> OOO The task is, given an initial board configuration, find a sequence of the given number of moves. |
The task is, given an initial board configuration, find a sequence of the given number of moves. |
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Thirty two facts giving the initial board configuration, each of which is either: |
Thirty two facts giving the initial board configuration, each of which is either: |
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| A number of time facts, giving the number of moves that must be found. These are given as a range of consecutive, ascending integers, starting at 1. |
A number of time facts, giving the number of moves that must be found. These are given as a range of consecutive, ascending integers, starting at 1. |
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The input facts plus a number of move facts equal to the number of time facts. Each move fact is of the form: |
The input facts plus a number of move facts equal to the number of time facts. Each move fact is of the form: |
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| indicating that to get to time step T from time step T-1 (the initial conditions are regarded to be time step 0), the peg in position (X,Y) is moved in direction D (up, down, left or right). |
indicating that to get to time step T from time step T-1 (the initial conditions are regarded to be time step 0), the peg in position (X,Y) is moved in direction D (up, down, left or right). |
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Generally the fewer pegs remaining on the board, the harder it is to make a move. Thus instances starting with a full or a nearly full board and conduct 27-31 moves are the most difficult. |
Generally the fewer pegs remaining on the board, the harder it is to make a move. Thus instances starting with a full or a nearly full board and conduct 27-31 moves are the most difficult. |
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| * University of Kentucky, USA | * University of Kentucky, USA |
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| * Kodak Research Labs, USA | * Kodak Research Labs, USA |
Soitaire
Problem Description
Solitaire is a single player game played on a 7x7 board with 2x2 corners omitted. Each position is either full (containing a peg / marble) or empty. With 'O' representing full positions and '.' representing an empty position, a possible board configuration is:
Each turn the player must jump a peg over an existing peg and removed the 'jumped' peg. For example, numbering the board from the top left, moving peg (4,2) down would give the following board configuration:
The task is, given an initial board configuration, find a sequence of the given number of moves.
Input Format
Thirty two facts giving the initial board configuration, each of which is either:
full(X,Y).
or
empty(X,Y).
indicating that position (X,Y) is either full or empty.
A number of time facts, giving the number of moves that must be found. These are given as a range of consecutive, ascending integers, starting at 1.
Output Format
The input facts plus a number of move facts equal to the number of time facts. Each move fact is of the form:
move(T,D,X,Y).
indicating that to get to time step T from time step T-1 (the initial conditions are regarded to be time step 0), the peg in position (X,Y) is moved in direction D (up, down, left or right).
Calibration
Generally the fewer pegs remaining on the board, the harder it is to make a move. Thus instances starting with a full or a nearly full board and conduct 27-31 moves are the most difficult.
Comment
This problem took part in the Second ASP Competition and was proposed by Martin Brain.
Author(s)
- Yuliya Lierler
- University of Kentucky, USA
- Marcello Balduccini
- Kodak Research Labs, USA