latin square การใช้

• The more recent KenKen puzzles are also examples of Latin squares.
• A valid Sudoku solution grid is also a Latin square ..
• This is roughly times the number of 9? Latin squares.
• Such an arrangement would form a Graeco-Latin square.
• For example, the orthogonal array representation of the following Latin square is:
• This formula for the number of Latin squares is,
• In TAOCP Vol 4A there is some stuff about pairs of latin squares.
• The rest of the article references stuff related to Latin square and Sudoku.
• Hence the Latin square cannot represent a group.
• Orthogonal arrays generalize the idea of mutually orthogonal latin squares in a tabular form.
• The reasoning is this : A Latin square is the multiplication table of a quasigroup.
• :The minimum number of transversals of a Latin square is also an open problem.
• See small Latin squares and quasigroups.
• A Graeco-Latin square can therefore be decomposed into two " orthogonal " Latin squares.
• A Graeco-Latin square can therefore be decomposed into two " orthogonal " Latin squares.
• Every column and row includes all six numbers-so this subset forms a Latin square.
• Another type of operation is easiest to explain using the orthogonal array representation of the Latin square.
• For each, the number of Latin squares altogether is times the number of reduced Latin squares.
• For each, the number of Latin squares altogether is times the number of reduced Latin squares.
• Since this applies to Latin squares in general, most variants of Sudoku have the same maximum.