127.0.0.1: Created page with "A '''Naked Subset''' is formed by '''N''' cells in a house with candidates for exactly '''N''' digits. '''N''' is the size of the subset, which must lie betwe..."

2021-10-24T15:48:03Z

Created page with "A '''Naked Subset''' is formed by '''N''' cells in a house with candidates for exactly '''N''' digits. '''N''' is the size of the subset, which must lie betwe..."

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A '''Naked Subset''' is formed by '''N''' [[cell]]s in a [[house]] with [[candidate]]s for exactly '''N''' [[digit]]s.

'''N''' is the size of the subset, which must lie between 2 and the number of unsolved cells in the house minus 2. Since every Naked Subset is complemented by a [[Hidden Subset]], the smallest of both sets will be no larger than 4 in a standard sized Sudoku.

An alternative name for Naked Subset is '''Number Chain''', but this term is not used very often.

== Names for Different Sizes ==
; [[Naked Pair]]
: Size 2

; [[Naked Triple]]
: Size 3

; [[Naked Quad]]
: Size 4

== Recognition ==
To recognize a '''Naked Subset''', you probably need [[pencilmark]]s, unless you have a very good memory. A naked pair is easy to locate because you only need to spot two cells with candidates for the same two digits. A naked triple is more difficult to recognize, because not all three cells need to contain candidates for all three digits. Subsequently, a naked quad is even more difficult to spot.

When all cells are located in an [[intersection]], spotting the subset is much easier. Because there are only 3 cells in an intersection, it is not possible to find Naked Quads in an intersection. The subset can cause eliminations in both intersecting houses. A size 2 is called a [[Locked Pair]] and size 3 is a [[Locked Triple]].

== See Also ==
* [[Hidden Subset]]

[[Category:Solving Techniques]]

Naked Subset - Revision history

127.0.0.1: Created page with "A '''Naked Subset''' is formed by '''N''' cells in a house with candidates for exactly '''N''' digits. '''N''' is the size of the subset, which must lie betwe..."