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. Any 5 visible to all three cells must be removed, in this case in B1. Learn Sudoku strategies from basic to advanced. The cell in the center is called the pivot. 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. An XY-Wing is a solving technique that uses a short chain of 3 cells. This is why it’s known as a candidate eliminator strategy. If that's a 4 then B3 and B6 become a naked pair of 5/7 each. Y Wings are a fairly advanced Sudoku solving technique that allows you to eliminate candidates in particular rows or columns of the grid. We can reason this way: If B6 contains a 7 then B3 and A1 become a naked pair of 4/5 - and the naked pair rule applies.Ī similar logic allies to A1. In this example the candidate number is 5 and B3 is the Hinge. It follows therefore that one or other of the three cells must contain the common number and hence any extraneous cell (there can only be two of them!) that "sees" all three cells of the XYZ-Wing cannot have that number as its true value. More precisely an XYZ-Wing has three cells that contain only 3 different numbers between them, but which fall outside the confines of one row/column/box, with one of the cells (the 'apex' or 'hinge') being able to see the other two those other two having only one number in common and the apex having all three numbers as candidates.” Download scientific diagram R.XY W (XY-Wing technique) and R.XY Z W (XYZ-Wing technique) from publication: Overlapping Alldierent Constraints. (Perhaps it would have been better to call it the ABC-Wing strategy but we’d be swimming against the tide)īut we have to be careful about the way the three cells are aligned. The outer cells in the formation will be XZ and YZ, Z being the common number. It gets its name from the three numbers X, Y and Z that are required in the hinge. Thanks to this elimination, the digit 6 in the third row can only be placed in the R3C7 cell.Ĭopyright (C) Sudoku Solver sudokusolver.This extends Y-Wings which have three bi-value cells to bi-tri-bi, in other words the hinge contains three candidates, not two. The X-Wing strategy is a pattern that occurs when two rows or columns have only two cells that could contain the same number. Hence the digit 6 can be eliminated from the cells that see simultaneously the cells R2C1, R1C2 and R7C1, i.e. Each of the wings must share one candidate with the first cell, (thats part of sharing a unit) but of different values. So one of the three cells forming the XYZ-Wing will have the digit 6. If R2C1 is not set to 4 or 7, then it can only get the digit 6. 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). Thus, the Z digit can be eliminated from the cells that see three cells forming the XYZ-Wing simultaneously. The basic principle of this technique is simple. This extends Y-Wings which have three bi-value cells to bi-tri-bi, in other words the hinge contains three candidates, not two. These cells must be aligned by column and row, forming a square or rectangle when connected. To be able to apply this technique, the player must find 2 rows or 2 columns where a single digit is a candidate in only two cells of each. Therefore, either the Z digit is placed in the pivot or in the pincers if the pivot has an X or Y digit. Requirements to apply the Sudoku X-Wing strategy. XYZ-WingThe XYZ-Wing technique is an extension of the XY-Wing technique.
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