Treat the given digits as fixed clues.
Starting digits cannot be changed. Each clue removes that digit as a possibility from the rest of its row, column, and three-by-three box.
Use 1 through 9 once in every row.
A completed horizontal row contains each digit exactly once. Scan for a digit that has only one legal square left in a row.
“Only one digit is absent. Name it before you place it.”
Orion
Use 1 through 9 once in every column.
Vertical columns follow the same rule. A placement must satisfy its row and column at the same time.
Use 1 through 9 once in every 3 × 3 box.
The bold outlines divide the board into nine boxes. Each box independently contains all nine digits without repetition.
Use notes, then validate the solution.
Notes record candidates inside a square. Remove candidates as peers are solved. A full grid with no duplicates is checked automatically.