Sudoku

A number-placement puzzle in which each row, column, and designated subgrid must contain every digit exactly once. Its clues constrain a completed grid without requiring arithmetic.

Sudoku grid: A square arrangement of cells partitioned into rows, columns, and equal-sized subgrids. Its rows, columns, and subgrids define the three constraints every completed Sudoku must satisfy.
Latin square: A square array in which each symbol occurs exactly once in every row and column. Sudoku adds subgrid constraints to the row-and-column structure of a Latin square.
Number Place: An 18-by-18 number puzzle published by Dell Magazines in the United States. This puzzle introduced the layout and rules that closely preceded modern Sudoku.
Sudoku solving strategy: A logical or computational technique used to infer placements or eliminate candidates in Sudoku. Strategies organize the deductions used to solve puzzles without arbitrary guessing.
Killer Sudoku: A Sudoku variant with outlined cages whose digits must sum to specified totals. Its arithmetic cage clues add a second kind of constraint to the standard Sudoku rules.
Candidate (Sudoku): A digit that remains possible in a particular unsolved Sudoku cell. Candidates record which digits survive the row, column, and subgrid constraints.
Constraint satisfaction problem: A problem defined by variables, possible values, and rules restricting which assignments are allowed. Sudoku is naturally represented as variables for cells constrained by units and clues.
方陣 (Latin square puzzle): A number-placement puzzle based on arranging symbols without repetition in rows and columns. Earlier Latin-square puzzles supplied a mathematical foundation for Sudoku's row-and-column rules.
Sudoku puzzle generation: The process of constructing a Sudoku puzzle with a chosen solution and clue pattern. Generation must preserve a valid solution while controlling difficulty and often ensuring uniqueness.
KenKen: A number-placement puzzle combining Latin-square rules with arithmetic constraints in cages. KenKen shares Sudoku's row-and-column uniqueness but replaces subgrids with arithmetic cages.

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