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A Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. [1] Players and investigators use a wide range of computer algorithms to solve Sudokus, study their properties, and make new puzzles, including Sudokus with interesting symmetries and other properties.
The Dancing Links algorithm solving a polycube puzzle In computer science , dancing links ( DLX ) is a technique for adding and deleting a node from a circular doubly linked list . It is particularly useful for efficiently implementing backtracking algorithms, such as Knuth's Algorithm X for the exact cover problem . [ 1 ]
Backtracking is an important tool for solving constraint satisfaction problems, [2] such as crosswords, verbal arithmetic, Sudoku, and many other puzzles. It is often the most convenient technique for parsing , [ 3 ] for the knapsack problem and other combinatorial optimization problems.
LDPC decoding is a common use-case for belief propagation, with slight modifications this approach can be used for solving Sudoku codes. [4] The constraint satisfaction using a tanner graph is shown in the figure on the right. denotes the entries of the sudoku in row-scan order.
A 24-clue automorphic Sudoku with translational symmetry. Mathematics can be used to study Sudoku puzzles to answer questions such as "How many filled Sudoku grids are there?", "What is the minimal number of clues in a valid puzzle?" and "In what ways can Sudoku grids be symmetric?" through the use of combinatorics and group theory.
Pages in category "Sudoku solvers" The following 4 pages are in this category, out of 4 total. This list may not reflect recent changes. A. Australia national sudoku ...
And the video by Simon Anthony, former UK team member World Sudoku championships. They are very reliable and verifiable sources. — Preceding unsigned comment added by PedroContipelli (talk • contribs) 20:16, 3 July 2023 (UTC) Outside of very limited exceptions which do not apply here, we don't use self published sources on Wikipedia.
The Sudoku graph contains as a subgraph the rook's graph, which is defined in the same way using only the rows and columns (but not the blocks) of the Sudoku board. The 20-regular 81-vertex Sudoku graph should be distinguished from a different 20-regular graph on 81 vertices, the Brouwer–Haemers graph , which has smaller cliques (of size 3 ...