You’ve filled in all the “Naked Singles.” You’ve scanned for “Hidden Pairs.” But you’re still stuck. The grid is a sea of “pencil marks” (candidates), and no obvious moves are left.
This is the exact moment where you transition from a beginner to an advanced solver. And the key that unlocks that next level is a technique called the X-Wing.
It might sound complex, but the logic is surprisingly simple. This 5-minute guide, complete with clear diagrams, will show you exactly what the X-Wing is, how to spot it, and how to use it to break open those “impossible” puzzles.
In short, the X-Wing is a pattern of four numbers.
It gets its name because when you draw lines to connect the four cells, it often looks like the letter ‘X’.
The X-Wing pattern occurs when a specific candidate (let’s say, the number ‘5’) appears in:
Here’s the logic. Look at our diagram above.
In Row 2, the ‘5’ must go in either C3 or C7. There are no other options in that row.
In Row 6, the ‘5’ must go in either C3 or C7.
Now, think about the columns.
Do you see the pattern? No matter what, one of those ‘5s’ will be in Column 3, and the other will be in Column 7.
This means we have locked the ‘5’ to those two rows (R2 and R6) for those two columns (C3 and C7).
Because we know the ‘5s’ for Column 3 and Column 7 are guaranteed to be in those four boxes, we can make a powerful move:
We can confidently eliminate ‘5’ as a candidate from every other cell in Column 3 and Column 7.
Let’s walk through it on a real puzzle.
Step 1: Scan for “Paired Candidates”
Look at your grid, with all candidates (pencil marks) filled in. Scan one row at a time. Are there any rows where a number appears only twice?
In our example, we scan Row 3 and find that the number ‘8’ appears only two times: in C2 and C8.
Step 2: Find the “Partner” Row
Now, keep scanning. Do you see another row where the ‘8’ also appears only twice?
Yes! In Row 7, the ‘8’ appears only in C2 and C8.
Step 3: Check for Alignment
This is the magic.
They are aligned perfectly. We have an X-Wing.
Step 4: The Elimination (The Payoff!)
We now know that for Column 2 and Column 8, the ‘8’ must live in Row 3 or Row 7.
This allows us to look at Column 2 and Column 8 and eliminate ‘8’ from every other cell in those columns.
Look at Diagram 4 again. By eliminating the ‘8’ from R5C2, we might have left only one candidate in that cell (a “Naked Single”). By eliminating the ‘8’ from R1C8, we may have unlocked another move.
This is the power of the X-Wing. It doesn’t solve the puzzle outright, but it “breaks the dam” and triggers a cascade of simpler moves that were impossible just a minute ago.
A Quick Note: Column X-Wings
This exact same logic works for columns, too! If you find a candidate that appears only twice in Column A, and twice in Column B, and they are aligned in the same two rows, you can eliminate that candidate from the rest of those two rows.
Congratulations! You’ve just learned one of the most powerful and satisfying techniques in Sudoku. It may seem tricky at first, but after you find your first one, you’ll start seeing them everywhere.
The X-Wing is just the beginning. It’s part of a family of “fish” patterns (like the Swordfish and Jellyfish) that advanced solvers use.
Your Next Step:
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