XYZ-Wing

XYZ-Wing is similar to XY Wing, except that the cell which contained the possibility of XY also has a third possibility of Z. Take a look at the image. Cells which are buddy to ALL 3 marked cells are highlighted in yellow.


Since Z is common in all 3 marked cells and has to be in one of these 3 marked cells, it is eliminated from all the buddy cells to these 3 marked cells. Lets take a look at the example below.


Cells, R4C2, R4C4 and R6C4 form an XYZ-Wing with R4C being the cell with possiblity XYZ. Here the value of Z is 2. Cell R4C6 is highlighted since it is buddy to all the 3 marked cells. (same row as R4C2 and R4C4, and same box as R6C4. Since the number 2 has to be in one of the three marked cells, it is eliminated from R4C6.


Normally, an XYZ wing looks very similar to Naked Triplets. The big difference being that in Naked Triplets
all three possibilities are removed from the Buddy Cells, whereas in the XYZ Wing, only the common number is eliminated.

2 comments:

  1. can there be xyz wing with candidates xyz, xy , xy?

    ReplyDelete
  2. No, For XYZ Wing to be used, the combination has to be always be in the form of XYZ, XZ, and YZ.

    ReplyDelete