Sudoku

How to Solve Hard Sudoku — A Step-by-Step Approach

6 min read  ·  Burmly

Hard Sudoku puzzles are designed to resist the techniques that work on easy and medium. If you're applying the same strategies and hitting walls, it's not that you're bad at Sudoku — you're missing one or two tools that unlock the rest.

First: make sure you've exhausted the basics

Before reaching for advanced techniques, confirm you've done all of these:

Most people who feel "stuck" on a hard puzzle haven't fully completed their candidate lists. Adding candidates often immediately reveals a naked or hidden single they missed.

The sequence when you're genuinely stuck

Apply these in order. Each one either places a digit or eliminates candidates, which may unlock the simpler techniques again.

1. Naked pairs and triples

Two cells in the same unit with identical two-candidate sets. Eliminate those digits from the rest of the unit. Full explanation →

2. Hidden pairs

Two digits that only appear in two cells within a unit — even if those cells have other candidates. Remove everything else from those two cells. Full explanation →

3. Pointing pairs

A digit confined to one row or column within a box. Eliminate it from the rest of that line outside the box. Full explanation →

4. X-Wing

A digit that appears in exactly two cells in each of two rows, sharing the same two columns. Eliminate from those columns everywhere else. Full explanation →

5. Swordfish

The three-row version of X-Wing. Rarely needed but decisive when it appears. Full explanation →

What "hard" actually means

Different puzzle generators define hard differently. Some "hard" puzzles need only naked pairs. Others require X-Wing or Swordfish. The common denominator: you will need candidates in every cell, and you will need to scan systematically rather than reactively.

The biggest mistake on hard puzzles: trying to solve by intuition or trail-and-error instead of building and eliminating candidates methodically. Hard puzzles are designed to be logically solvable — every step has a reason.

If nothing from this list works

Truly expert-level puzzles sometimes require techniques beyond Swordfish: Y-Wing, XYZ-Wing, chains. At that point you're solving at a competition level. Our hard puzzles are designed to be solvable with the techniques above — if you're stuck after applying all of them, start the candidate markup from scratch. A missed elimination early on cascades through everything after it.

Practice on hard puzzles

Play Hard Sudoku →