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Solving Techniques 10
XYZ-Wing

The XYZ-Wing is different from XY, in that three numbers are used. It is like the diagram below. When a problem turns out like this, a 3 will be entered somewhere.

If a 3 is entered in A2, then it can’t be in the cells marked X, as shown below.

If a 3 is entered in A5, then it can’t be in the cells marked X, as shown below.

If a 3 is entered in B3, then it can’t be in the cells marked X, as shown below.

As you can see below, in the overlapping areas, X, a 3 can’t be entered.

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Below is another XYZ wing, but not using [123] candidates, but rather a combination of three types of candidates, [12][23] and [13].

If a 3 is entered in B3, it can’t be entered in the cells marked X, as shown below.

If a 3 is entered in A5, it can’t be entered in the cells marked X, as shown below.

Hence, in the overlapping areas marked X, a 3 can’t be entered, as shown below. There are more X’s than in the previous example.

The numbers can also be further apart, as shown below. As in the previous examples, 3’s can’t be entered where the X’s are.

They can also be close together, as shown below. In this case, the common number is [1], so 1 can’t be entered in the cells with X’s.

This technique is an application of the XY-wing technique, so it seems to be easy to learn.

Names of cells in Sudoku

A1A2A3A4A5A6A7A8A9
B1B2B3B4B5B6B7B8B9
C1C2C3C4C5C6C7C8C9
D1D2D3D4D5D6D7D8D9
E1E2E3E4E5E6E7E8E9
F1F2F3F4F5F6F7F8F9
G1G2G3G4G5G6G7G8G9
H1H2H3H4H5H6H7H8H9
I1I2I3I4I5I6I7I8I9

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