Sudoku Solver

Expert

Finned X-Wing (Row)

A Row X-Wing with an extra "Fin" that allows for localized eliminations.

The Finned X-Wing (Row) is the horizontal counterpart to the Finned X-Wing (Col).

In this version, your Base is two Rows, and you are looking to eliminate candidates from the Columns.

The Setup

You are looking for a specific number (let's say 5). You find two rows where the 5 almost forms a perfect rectangle:

  • Row A: The 5 can only go in two spots (e.g., Column 1 and Column 7).
  • Row B: The 5 can go in Column 1 and Column 7... PLUS an extra spot (the Fin) right next to one of those corners.

The Fin Requirement: This extra spot must be inside the same 3x3 box as one of your X-Wing corners.

Interactive Example

1 2 3 4 5 6 7 8 9
8
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
6
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
8
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
4
1 2 3 4 5 6 7 8 9
2
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
6
1 2 3 4 5 6 7 8 9
5
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
3
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
2
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
8
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
3
1 2 3 4 5 6 7 8 9
5
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
4
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
4
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
2
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
8
1 2 3 4 5 6 7 8 9
6
1 2 3 4 5 6 7 8 9
2
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
4
1 2 3 4 5 6 7 8 9
9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
2
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
7
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9
1
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9

Click "Apply Logic" to see the strategy in action.

Real Example Explanation

In the interactive example above, look at the number 5:

  1. Row 2: The 5s are restricted to Column 1 and Column 7.
  2. Row 8: The 5s are in Column 1, Column 7... and an extra spot at R8C3 (Green).
  3. The Overlap Logic: Think of it as a backup plan.
    • If the Fin is FALSE: The X-Wing is perfect. You can delete 5s from the rest of Column 1.
    • If the Fin is TRUE: The 5 is in that little "fin" area (Box 7). You can delete all 5s in the rest of that Box.
  4. The Kill Zone: We delete the candidate from any cell that is "hit" by both the Column and the Fin's Box.
    • The cell R9C1 (Red) is in Column 1.
    • The cell R9C1 is also in Box 7.
    • Therefore, R9C1 cannot be a 5.

Why "Row" instead of "Column"?

It purely depends on where you spot the restriction first. It's like a flashlight:

  • If the Rows are the flashlights, they shine up and down the Columns. (Finned X-Wing Row)
  • If the Columns are the flashlights, they shine across the Rows. (Finned X-Wing Col)

Comparison Table

Strategy Base (Where you find it) Target (Where you delete)
X-Wing (Col) 2 Columns Entire Rows
Finned X-Wing (Col) 2 Columns Intersection of Row & Box
X-Wing (Row) 2 Rows Entire Columns
Finned X-Wing (Row) 2 Rows Intersection of Column & Box

Related Strategies