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Solving Techniques 18
WXYZ Wing

In a pattern like the one below, the red Z can be removed as a candidate.

For an example, please look below. The [9] comes up in all cells. This [9] is the [Z].

If the lower left [19] cell is a [9], obviously a [9] can’t be entered in the other cells of this box.

If the lower left [19] cell is a [1], then a [9] has to be entered somewhere in the upper line, and it can’t be in the place indicated on the diagram.

The WXYZ Wing is a technique which uses a combination of four cells and four candidate numbers to eliminate candidates from other cells.

WXYZ Wing 2

This pattern is also a WXYZ wing. “Which number?” You might ask. It is the [5]. Lets examine together.

If, in the diagram below, the [59] in the center box is a [5], the [5]’s from the same box and same line will be eliminated as candidates.

If, in the diagram below, the [59] in the center box is a [9], either one of the right hand box’s blue cells will become a 5.

Therefore, the X’s, which apply in both cases, can be eliminated as candidates.

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WXYZ Wing 3

This pattern is also an WXYZ wing. It is quite a distorted pattern. The [4] will be [Z]. Lets examine together.

If, in the diagram below, the left box’s [14] cell is a [4], then the [4]’s in the same row can be eliminated as candidates.

If, in the diagram below, the left box’s [14] cell is a [1], the blue cell in the right box will be a [4].

しTherefore, the X’s, which apply in both cases, can be eliminated as candidates.

WXYZ Wing 4

Here we have a distorted pattern again. There are a variety of patterns, so it’s good to look for four cells and four numbers.

If, in the diagram below, the left box’s [29] cell is a [9], then the [9]’s in the same row can be eliminated as candidates.

If, in the diagram below, the left box’s [29] cell is a [2], then the [9] would be one of the two cells in the center box.

Therefore, the X’s, which apply in both cases, can be eliminated as candidates.

reference: sudokuwiki.org

Names of cells in Sudoku

A1A2A3A4A5A6A7A8A9
B1B2B3B4B5B6B7B8B9
C1C2C3C4C5C6C7C8C9
D1D2D3D4D5D6D7D8D9
E1E2E3E4E5E6E7E8E9
F1F2F3F4F5F6F7F8F9
G1G2G3G4G5G6G7G8G9
H1H2H3H4H5H6H7H8H9
I1I2I3I4I5I6I7I8I9

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