127.0.0.1: Created page with "
''The name '''Subset Exclusion''' is not commonly used in the Sudoku community. This article is created as a bridge between '''Aligned Pair Exclusion''' and ''..."

2021-10-25T17:13:15Z

Created page with "<blockquote>''The name '''Subset Exclusion''' is not commonly used in the Sudoku community. This article is created as a bridge between '''Aligned Pair Exclusion''' and ''..."

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<blockquote>''The name '''Subset Exclusion''' is not commonly used in the Sudoku community. This article is created as a bridge between '''[[Aligned Pair Exclusion]]''' and '''[[Death Blossom]]'''.''</blockquote>

'''[[Aligned Pair Exclusion]]''' can be extended to '''[[Aligned Triple Exclusion]]''' and so on. In fact, the set of cells to be enumerated does not need to be aligned at all. Lacking a better name, let us call the resultant technique '''Subset Exclusion'''.

== Example ==

{| cellspacing="8" cellpadding="0"
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[[Image:SubsetExclusion.png]]
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We can enumerate the possible combinations of the blue [[cell]]s as in [[Aligned Pair Exclusion]]. The following list shows the possible combinations, from top to bottom:

5+2+4
5+2+6
5+6+4
5+7+4*
5+7+6*
5+9+4*
5+9+6*
7+2+4
7+2+6
7+6+4
7+9+4
7+9+6

The starred combinations are those that causes any of the yellow cells to have no [[candidate]]s at all, so these combinations can be removed from the list. As a result, we find that 7 can be [[eliminate]]d from '''r2c4'''.
|}

== Death Blossom ==

The '''[[Death Blossom]]''' technique is actually an instance of '''Subset Exclusion''' where all but one of the cells to be enumerated falls neatly into [[Almost Locked Set]]s.

{{debate}}
[[Category:Solving Techniques]]

Subset Exclusion - Revision history

127.0.0.1: Created page with "''The name '''Subset Exclusion''' is not commonly used in the Sudoku community. This article is created as a bridge between '''Aligned Pair Exclusion''' and ''..."

127.0.0.1: Created page with "
''The name '''Subset Exclusion''' is not commonly used in the Sudoku community. This article is created as a bridge between '''Aligned Pair Exclusion''' and ''..."