To play Sudoku, fill the 9x9 grid so that every row, every column and each of the nine 3x3 boxes holds the digits 1 to 9 with no repeats. That single rule is the whole game. You start with some cells already filled, and you work out the rest by logic. Open the Sudoku board and you can try the method below on a live puzzle.
The one rule, three ways
Every empty cell answers to three constraints at once:
- Its row already contains some of the digits 1 to 9. Those are out.
- Its column contains some too. Also out.
- Its 3x3 box contains some. Out as well.
Whatever digit is not banned by any of the three can legally go in that cell. When only one digit survives all three checks, you have found a forced move.
A scanning method that works
The fastest way in for a beginner is to hunt one digit at a time.
Pick a digit that already appears several times on the board, say the 5. Look at each 3x3 box that is still missing a 5. The rows and columns that already contain a 5 cut through that box and forbid those cells. Often this leaves only one open cell in the box, and that is where the 5 must go. Work through every box for the 5, then move to the next digit.
This is called cross-hatching, and on an easy grid it solves most of the board on its own.
When scanning stalls, pencil in notes
Harder puzzles reach a point where no single cell is forced by scanning. This is where notes earn their keep. In each empty cell, pencil in every digit that is still legal there. The Sudoku board has a Notes mode for exactly this.
Once the candidates are written down, two simple patterns clear cells:
- A cell with only one candidate left is forced.
- A digit that can go in only one cell of a row, column or box is forced there, even if that cell has other candidates pencilled in.
Filling a forced cell removes that digit from its row, column and box, which often forces the next cell. The grid unwinds from there.
A few habits that help
- Always work the constraint with the fewest blanks first. A box with one empty cell is a free move.
- Update your notes the moment you place a digit. Stale notes lead to mistakes.
- If you are stuck, switch from scanning by digit to scanning by cell, looking for the cell with the fewest candidates.
Once these feel natural, the named techniques in Sudoku solving techniques are the next step up to Hard and Expert grids. To put the method into practice now, open the Sudoku board and start on Easy with notes turned on.