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A Sudoku may also be modelled as a constraint satisfaction problem. In his paper Sudoku as a Constraint Problem, [14] Helmut Simonis describes many reasoning algorithms based on constraints which can be applied to model and solve problems. Some constraint solvers include a method to model and solve Sudokus, and a program may require fewer than ...
A Sudoku whose regions are not (necessarily) square or rectangular is known as a Jigsaw Sudoku. In particular, an N × N square where N is prime can only be tiled with irregular N -ominoes . For small values of N the number of ways to tile the square (excluding symmetries) has been computed (sequence A172477 in the OEIS ). [ 10 ]
In other words, the subcollection {B, D, F} is an exact cover, since every element is contained in exactly one of the sets B = {1, 4}, D = {3, 5, 6}, or F = {2, 7}.There are no more selected rows at level 3, thus the algorithm moves to the next branch at level 2…
The world's first live TV Sudoku show, held on July 1, 2005, Sky One. The world's first live TV Sudoku show, Sudoku Live, was a puzzle contest first broadcast on July 1, 2005, on the British pay-television channel Sky One. It was presented by Carol Vorderman. Nine teams of nine players (with one celebrity in each team) representing geographical ...
Some of the better-known exact cover problems include tiling, the n queens problem, and Sudoku. The name dancing links, which was suggested by Donald Knuth, stems from the way the algorithm works, as iterations of the algorithm cause the links to "dance" with partner links so as to resemble an "exquisitely choreographed dance."
Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle is a book on the mathematics of Sudoku. It was written by Jason Rosenhouse and Laura Taalman , and published in 2011 by the Oxford University Press .
Sudoku calculators: The input is a Sudoku puzzle, the operations support solving the puzzle, such as selecting a digit as the solution for a cell, and the result is a solution of the entire puzzle. Poker calculators : A common feature of these is to calculate the odds of winning with a given Poker hand.
The popular Sudoku puzzles are a special case of Latin squares; any solution to a Sudoku puzzle is a Latin square. Sudoku imposes the additional restriction that nine particular 3×3 adjacent subsquares must also contain the digits 1–9 (in the standard version).
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