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Killer Pairs - Sounds good, but what are they?

 
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mhparker
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Joined: 20 Jan 2007
Posts: 345
Location: Germany

PostPosted: Thu Jan 25, 2007 11:28 pm    Post subject: Killer Pairs - Sounds good, but what are they? Reply with quote

I'm having difficulty finding out exactly what a "killer pair" is. I've searched for the term (together with "sudoku") on Google, but one gets surprisingly few hits, and sifting through those mostly takes you to references found in walkthroughs on this site. There's also nothing in Sudopedia on this.

Any help here would be much appreciated!
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mhparker
Grandmaster
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Joined: 20 Jan 2007
Posts: 345
Location: Germany

PostPosted: Mon Jan 29, 2007 12:51 pm    Post subject: Reply with quote

Finally managed to find the answer. It's basically an extension of the well-known "naked pair" technique for normal Sudoku. That is, if two cages (or one cage and a single cell) within a "house" (row, column or nonet) must contain either the value A or B, then these candidates can be removed from all other cells within the house.

JC's got a good description, see "Killer Naked Subset Removal" under:

http://jcbonsai.free.fr/sudoku/JSudokuUserGuide/killerSolvers.html

Unfortunately, JC's page doesn't use the abbreviate phrase "killer pair" like SumoCue does, which explains why Google didn't find it.
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