Swordfish Strategy

An extension of the X-Wing pattern to three rows and three columns. Essential for cracking hard and expert Sudoku puzzles.

Difficulty (After X-Wing)
Advanced
Pattern (Rows × columns)
3×3
Cover lines (3 rows + 3 columns)
6
Required for (Many expert puzzles)
Expert

What Is a Swordfish?

A Swordfish pattern occurs when you focus on a single candidate number and find three rows where that candidate appears in at most three cells per row, and the columns occupied by those cells collectively cover exactly three columns. The candidate must be placed once in each of those three rows, and those placements will occupy three of the column positions - meaning no other cell in those three columns can hold that candidate.

Unlike the X-Wing, where each base row must have exactly two candidate positions, a Swordfish row can have two or three positions. The critical requirement is that the total number of distinct columns used across all three rows is exactly three. This makes the pattern harder to spot but potentially more powerful in terms of eliminations.

The Swordfish belongs to the "fish" family of techniques - a generalization of the X-Wing concept. Understanding this family of patterns is key to advancing your solving skills. It extends upward to the Jellyfish (four rows, four columns). For definitions of key terms, visit our Sudoku glossary.

How to Apply the Swordfish: Step-by-Step

  1. Ensure thorough pencil marks - Complete all basic and intermediate eliminations first. Apply Naked Singles, Hidden Singles, Naked Pairs, Pointing Pairs, and Box-Line Reduction. Accurate pencil marks are absolutely essential for identifying Swordfish patterns.
  2. Select a candidate number - Choose a number (1-9) to examine. Look at its distribution across rows. The number should appear as a candidate in multiple rows to have a chance of forming a Swordfish.
  3. Identify qualifying rows - Find rows where your chosen candidate appears in two or three cells only. If a row has the candidate in four or more cells, it cannot be part of a Swordfish. You need at least three qualifying rows.
  4. Check column coverage - Take three qualifying rows and list the columns where the candidate appears. If those columns total exactly three distinct columns, you have a Swordfish. The columns are the "covering lines."
  5. Eliminate from covering columns - Remove the candidate from every cell in the three covering columns that is NOT in one of the three defining rows. This can produce significant eliminations, often revealing new singles or further patterns.

When to Use the Swordfish

The Swordfish should only be attempted after all intermediate techniques have been exhausted. If Naked Pairs, Hidden Pairs, Pointing Pairs, Box-Line Reduction, and X-Wings have not resolved the puzzle, it is time to look for Swordfish patterns.

Swordfish patterns appear primarily in hard and expert-level puzzles. They are rare in medium puzzles and essentially non-existent in easy ones. For a complete progression of techniques, visit our strategy guide or review how to play Sudoku.

Difficulty Level & Puzzle Types

Swordfish is classified as an advanced-level technique, bordering on expert. It is significantly harder to spot than the X-Wing and requires careful, systematic analysis of candidate distributions.

Easy

Never needed - basic techniques are sufficient

Medium

Extremely rare - intermediate techniques handle these

Hard

Occasionally needed when X-Wings are insufficient

Expert

Important technique - part of the advanced solver toolkit

Tips for Mastering the Swordfish

  1. Master the X-Wing first. The Swordfish is a natural extension, and understanding the simpler pattern makes the larger one intuitive.
  2. Use a systematic approach: for each candidate, list the columns it occupies in each row. Then look for three rows whose column sets combine to exactly three.
  3. Remember that rows in a Swordfish can have two or three candidate positions. Do not require exactly two per row as in X-Wing.
  4. After making eliminations, always re-scan for Naked Singles and Hidden Singles. Swordfish eliminations often cascade into simpler solves.

Frequently Asked Questions

What is a Swordfish pattern in Sudoku?

A Swordfish is an advanced elimination technique that extends the X-Wing concept to three rows and three columns. When a candidate number appears in at most three positions in each of three rows, and those positions collectively span exactly three columns, the candidate can be eliminated from all other cells in those three columns.

How does Swordfish differ from X-Wing?

An X-Wing uses two rows and two columns forming a rectangle. A Swordfish uses three rows and three columns. In a Swordfish, the candidate does not need to appear in exactly two cells per row - it can appear in two or three cells per row, as long as the total column coverage is exactly three columns.

Is the Swordfish pattern common in Sudoku puzzles?

Swordfish patterns are relatively rare compared to X-Wings. They typically appear in hard and expert-level puzzles. Many solvers go through dozens of puzzles before encountering one. When they do appear, however, they often break open an otherwise stuck puzzle.

Can a Swordfish use columns as the base instead of rows?

Yes, exactly like the X-Wing, the Swordfish works symmetrically. You can define it using three columns as the base lines, with the covering lines being three rows. The elimination logic is identical - just swap rows and columns throughout the process.

What should I try before looking for a Swordfish?

Always exhaust simpler techniques first: Naked Singles, Hidden Singles, Naked Pairs, Pointing Pairs, Box-Line Reduction, and X-Wings. Swordfish is a last-resort technique for situations where all simpler methods have stalled.

Related Techniques

Related Glossary Terms

View full glossary

Practice by Difficulty

See it in action: a Swordfish on the digit 5

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Track digit 5. Each marked cell shows where 5 could go. Look for three rows where 5 fits in only the same set of columns.

Step 1 of 4 — full interactive demo available with JavaScript enabled

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