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TOP > Techniques > WXYZ Wing
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.
Names of cells in Sudoku
| A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 | A9 |
| B1 | B2 | B3 | B4 | B5 | B6 | B7 | B8 | B9 |
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 |
| D1 | D2 | D3 | D4 | D5 | D6 | D7 | D8 | D9 |
| E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 |
| F1 | F2 | F3 | F4 | F5 | F6 | F7 | F8 | F9 |
| G1 | G2 | G3 | G4 | G5 | G6 | G7 | G8 | G9 |
| H1 | H2 | H3 | H4 | H5 | H6 | H7 | H8 | H9 |
| I1 | I2 | I3 | I4 | I5 | I6 | I7 | I8 | I9 |
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