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# Sudoku: XYZ-Wing Strategy and Techniques

The XYZ-Wing strategy is indeed an advanced solving technique in Sudoku puzzles. It is used to identify patterns of three cells and three candidate numbers that lead to deductions and solve other squares in the puzzle.

Here’s how the XYZ-Wing strategy works:

1. Analyze the puzzle: Examine the grid and identify three cells that have candidate numbers.
2. Identify the XYZ-Wing pattern: Look for a pattern where the three cells form a chain, with each cell having a different candidate number (XYZ). The chain follows a structure where one cell shares a common candidate with the second cell, and the second cell shares a common candidate with the third cell. However, there should be no direct common candidate between the first and third cells.
3. Examine relationships: Focus on the relationships between the XYZ numbers in the pattern. Consider how their presence or absence in certain cells affects other squares in the puzzle.
4. Create chains of eliminations: Based on the XYZ-Wing pattern, create chains of eliminations that lead to deductions. Start by considering implications from eliminating candidates in the first and third cells. This will help you eliminate candidates from other squares based on whether or not they have XYZ numbers.
5. Update the puzzle: After making deductions using XYZ-Wing, reassess your puzzle and look for additional opportunities to apply this strategy.

By leveraging this complex technique, you can uncover deductions that may not be apparent through simpler strategies. Remember that mastering XYZ-Wing requires practice and understanding of candidate number relationships.

## Sudoku Solver

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