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Sudoku candidate notation: write only the digits that can still fit

Small notes inside an empty cell record the digits that can still fit. Each possible digit is called a candidate. The notes are useful only when they match the current grid.

Concise definition

Definition

Learn what candidate notes mean, how to write them, and when to remove a candidate after a placement.

One visible proof

After every placement, remove that digit from candidate notes in the same row, column, and 3×3 box.

  1. 1. Check the rowRemove digits already used in the row.
  2. 2. Check the column and boxKeep only digits absent from all three places.
  3. 3. Update after a placementIf a nearby cell receives 6, change {2,6,8} to {2,8}.
6
The outlined cell lists {2,6,8}. A 6 in the same column removes candidate 6.

A 6 placed in the same column means the outlined cell can no longer contain 6. Candidates 2 and 8 remain possible.

Editorial method

A reference verified by Doku.su

Doku.su checks every placement or elimination in this example with its deterministic Sudoku engine. Illustrative candidates are labelled when they do not represent a complete puzzle state.

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