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The technique map

Sudoku technique map

A map of the main families of standard 9 × 9 Sudoku reasoning. Follow a learning path, compare ideas, or jump into an available guide.

A useful starting path

  1. 1.Candidates
  2. 2.Naked single
  3. 3.Hidden single
  4. 4.Locked candidates
  5. 5.Naked pair
  6. 6.Hidden pair

55 techniques shown.

Read the position

Understand a unit, its peers and the difference between a candidate and a proven answer.

Place a digit

Either one cell has only one choice, or one digit has only one place in a unit.

Connect a box and a line

Confined positions let you eliminate candidates across an intersection.

Reserve cells and digits

Naked subsets look at cells. Hidden subsets look at positions for digits.

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Track one digit across units

Fish relate sets of candidate positions across rows and columns; advanced variants add further structure.

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Connect small candidate sets

Wings use linked possibilities to identify a candidate that cannot survive.

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Recognise single-digit patterns

These patterns provide approachable examples of linked candidate reasoning.

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Follow implications

Learn strong and weak links, then follow how one candidate implies another.

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Combine almost-locked sets

Extend subset reasoning with links between sets. This branch needs careful candidate bookkeeping.

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Reason with a uniqueness premise

These techniques have an extra premise: the puzzle must have a unique solution. Do not assume this for arbitrary input.

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Explore further methods

A reference branch for advanced reasoning and computational approaches, not a claim of current game support.

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Distinguish a mistake from a limit

A duplicate, a puzzle with no solution, multiple solutions and a stalled logical path are different conditions.

Related research

Where singles stop working in our 512-puzzle catalog →

See how a locked-candidates deduction helps solve the first Hard puzzle in our catalog.

References

HoDoKu and SudokuWiki