Triplets Dilemma

Advanced methods and approaches for solving Sudoku puzzles

Triplets Dilemma

Postby Cec » Sun Sep 04, 2005 2:00 am

Using the Simple Sudoku Puzzle Solver I reached the following scenario in two rows of a puzzle :
RowX [7][8][1] [349][3469][2] [ 369][349][5]
RowY [4][139][5] [8][1239][39] [7][6][12]
In rowX I identified a probable hidden triple [3,4 and 9] in columns 4,5 and 8 which would thus eliminate candidate 6 from column 5 leaving number 6 as the only remaining candidate in column 7. According to the Puzzle Solver this move was accepted as valid..

For rowY I again assumed that a hidden triple [1,3 and 9] occurred in columns 2,5 and 6 which would eliminate candidate 2 from column5 and thus leave number 2 as the only remaining candidate for column9. However, the Puzzle Solver rejected this move.

I would appreciate any explanation as to why this is so. I hope I'm correct in not needing to show the whole puzzle to illustrate my dilemma. Any comments explaining this scenario would be appreciated.

Regards Bonsai Cec
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Re: Triplets Dilemma

Postby angusj » Sun Sep 04, 2005 2:16 am

cecbevwr wrote:RowX [7][8][1] [349][3469][2] [ 369][349][5]
RowY [4][139][5] [8][1239][39] [7][6][12]


cecbevwr wrote:In rowX I identified a probable hidden triple [3,4 and 9] in columns 4,5 and 8

No, not a hidden triple because there's also a 3 in column 7.

cecbevwr wrote:For rowY I again assumed that a hidden triple [1,3 and 9] occurred in columns 2,5 and 6

Again, not a hidden triple because there's also a 1 in column 9.
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Postby PaulIQ164 » Sun Sep 04, 2005 12:31 pm

Yes, unfortunately neither is a triple. Presumably, the program accepted the first instance because, by chance, 6 does happen to be the number that goes in that cell.
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Triplets Dilemma

Postby Cec » Sun Sep 04, 2005 1:35 pm

Thanks Angusj and PaulIQ164. Yes, I recognise this now.
Regards, Bonsai Cec
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