The origins of the Xy-Wing strategy can be traced back to the work of Japanese mathematician Tetsuya Miyamoto. This allows the player to make deductions and narrow down the possible solutions. The strategy works by using the two candidates to eliminate other candidates in the same row, column, or box. ![]() The Xy-Wing strategy is based on the concept of a “ wing”, which is a set of three cells that share two candidates. Since then, it has become a staple of the game, allowing players to solve puzzles more quickly and efficiently. It is a relatively recent development, having been first described in 2006 by Thomas Snyder. The Xy-Wing strategy is a powerful and popular technique used in the game of Sudoku. Exploring the Origins of the Xy-Wing Strategy With practice, this strategy can be mastered and used to solve even the most difficult puzzles. This eliminates the possibility of the two solutions in the wing cells being correct, allowing the puzzle to be solved more quickly and efficiently.īy using the Xy-Wing strategy, Sudoku puzzles can be solved more quickly and efficiently. This is because the Xy-Wing cell has already been determined to contain one of the two possible solutions, so the other solution must be incorrect. Once the Xy-Wing cell has been identified, the two possible solutions in the wing cells can be eliminated. This fourth cell is referred to as the “Xy-Wing” cell. Once the wing and pivot cells have been identified, the next step is to look for a fourth cell that is connected to both the wing and pivot cells and contains the other possible solution. This third cell is referred to as the “pivot” cell. Next, look for a third cell that is connected to both of the wing cells and contains one of the two possible solutions. These two cells are referred to as the “wing” cells. To use the Xy-Wing strategy, the first step is to identify a pair of cells that contain the same two possible solutions. This strategy can be used to identify and eliminate potential solutions in a Sudoku puzzle, allowing the puzzle to be solved more quickly and efficiently. It is a relatively advanced technique, but with practice, it can be mastered. The Xy-Wing strategy is a powerful tool for solving Sudoku puzzles. ![]() How to Use the Xy-Wing Strategy to Solve Sudoku Puzzles With practice, the Xy-Wing Strategy can be used to solve even the most challenging Sudoku puzzles. This technique can be used to solve puzzles of any size and difficulty level. The strategy is based on the observation that certain patterns of numbers can be used to eliminate other numbers from the puzzle. It is a relatively advanced technique that can be used to solve difficult puzzles. This is because the alignment between A3 and B9 means they both see six common cells.The Xy-Wing Strategy is a powerful and versatile technique used in the game of Sudoku. This example starting with the hinge at A8 removes four 8’s from the first two rows. Either way the far corner at G1 can’t be a 4. Here is a classic Y-Wing beginning with the hinge at C4. BC and AC can see all the cells marked with a C where elimination can occur. A is a locked pair because they share the same row. In Figure 2 B is a locked pair because they share the same box. If our A, B and C are aligned more closely they can 'see' a great deal more cells than just the corner of the rectangle they make. It’s impossible for a C to live there and if C resides there it can be evicted. The cell marked with a cross can be 'seen' by both Cs - the cell is a confluence of both BC and AC. So whatever happens, C is certain in one of those two cells marked AC or BC. AC/BC is a complimentary pair, meaning they will both be either true or false. ![]() If AB turns out to be B then C is certain to occur in the top right. If the solution to that cell turns out to be A then C will definitely occur in the lower left corner. C is the common candidate between AC and BC. The bottom left cell marked AC is also bi-value and so is BC. B also only exists twice in its row.ĪB is a bi-value cell (it only has two candidates). That is the candidate number represented by A only exists twice in the column. Let’s look at Figure 19.1 for the theory.Ī is a conjugate pair and so is B. The forth corner is where the candidate can be removed but it leads us to much more as we'll see in a minute. The name derives from the fact that it looks like an X-Wing - but with three corners, not four. ![]() This is an excellent candidate eliminator (and is also known as XY-Wing).
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