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#Xyz wing sudoku strategy how to#
#Xyz wing sudoku strategy plus#

This is a Type 1 WXYZ-Wing (marked yellow) which leads to the elimination of 4 from the blue cell.

One of the XYZ cells may appear in the same line as WZ, in which case the XYZ cell may also have W as a candidate.

The WXYZ and WZ cells belong to the same line. Similar to the X Wing strategy, Y Wings involves identifying a particular pattern of candidates in the grid but unlike X Wing, it only involves three different.

One of the XYZ cells may appear in the same box as WZ, in which case the XYZ cell may also have W as a candidate.

Each of the four cells may contain a subset of the candidates as shown, e.g.

The WXYZ and WZ cells belong to the same box.

The WXYZ and the two XYZ cells form an almost locked set.

We can perform the same eliminations for Z on the starred cells so long: Then the ALS-XZ rule can be applied with W being the restricted common, so Z can be eliminated from the starred cells. Put another way, observe that there are two almost locked sets: (a) WXYZ, XZ and YZ and (b) WZ. While in our example we identified an X Wing by finding two pencil marked 5s in the same locations across two rows, X Wings can also be formed across columns.

If the WZ is Z, then obviously Z can also be eliminated from the starred cells. Once you’ve identified an X Wing, you can then eliminate all other candidates of the same value along the corresponding rows or columns.

If the WZ is W, then the WXYZ (which becomes XYZ), XZ and YZ cells form a naked subset, and so Z can be eliminated from the starred cells.

The idea from the extended form of the WXYZ-Wing comes from the following observation: In all possible options for the pivot cell, Z will be eliminated from the starred cells. Similar to the XYZ-Wing, the pivot has the candidates WXYZ. Hidden Unique Rectangle Strategy XYZ-Wing Strategy Utilities Sudoku Solver - Unique or Multiple Solution Finder Evaluate Sudoku Puzzle Difficulty - How easy or hard is it Thonkys Sudoku. The Legend of Zelda: Tears of the Kingdom Guide.

Seeing the extension of XYZ-Wing to WXYZ-Wing, one can further extend the technique to VWXYZ-Wing, UVWXYZ-Wing and so on. Learn Sudoku strategies from basic to advanced. Thanks to this elimination, the digit 6 in the third row can only be placed in the R3C7 cell.Ĭopyright (C) Sudoku Solver sudokusolver.The WXYZ-Wing is an extension of the XYZ-Wing, and is sometimes called XYZW-Wing. Hence the digit 6 can be eliminated from the cells that see simultaneously the cells R2C1, R1C2 and R7C1, i.e. The X-Wing strategy is about reducing potential numbers. But sometimes you’ll need something more advanced like these 5 advanced sudoku techniques. So one of the three cells forming the XYZ-Wing will have the digit 6. The basic and intermediate techniques and strategies you’re already using will allow you to complete many sudoku puzzles.

#Xyz wing sudoku strategy how to#

This quick Sudoku lesson explains how to recognize the X. If R2C1 is not set to 4 or 7, then it can only get the digit 6. X-wing patterns appear often and can be used as a Sudoku solving strategy to eliminate candidates. If the R2C1 cell is set to 7, then the R7C1 cell will be set to 6.

If the R2C1 cell is set to 4, then the R1C2 cell will be set to 6. In the sudoku diagram below, the XYZ-Wing is formed by the R2C1 cell (pivot) and the R1C2 and R7C1 cells (pincers, X = 4, Y = 7, Z = 6).

A very common and well-known 'human' solving.

#Xyz wing sudoku strategy plus#

A thorough examination of the logic behind it, plus numerous examples. Thus, the Z digit can be eliminated from the cells that see three cells forming the XYZ-Wing simultaneously. Explanation and demonstration of the XYZ-Wing Solving Technique in Sudoku. Therefore, either the Z digit is placed in the pivot or in the pincers if the pivot has an X or Y digit. XYZ-WingThe XYZ-Wing technique is an extension of the XY-Wing technique.