Sudoku solving algorithms

Sudoku solving algorithms

A standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box. A Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. 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.

Comment
enA standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box. A Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. 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.
Depiction
Sudoku Puzzle by L2G-20050714 standardized layout.svg
Sudoku puzzle hard for brute force.svg
Sudoku solved by bactracking.gif
Has abstract
enA standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box. A Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. 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. There are several computer algorithms that will solve 9×9 puzzles (n=9) in fractions of a second, but combinatorial explosion occurs as n increases, creating limits to the properties of Sudokus that can be constructed, analyzed, and solved as n increases.
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Sudoku solving algorithms
Label
enSudoku solving algorithms
Link from a Wikipage to an external page
www.ams.org/notices/200904/rtx090400460p.pdf
gsf.cococlyde.org/download/sudoku
diuf.unifr.ch/pai/people/juillera/Sudoku/Sudoku.html
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Backtracking
Bijection
Breadth-first search
Brute force search
Category:Abstract strategy games
Category:Search algorithms
Category:Sudoku
Combinatorial explosion
Composition of relations
Constraint satisfaction problem
Dancing Links
Degree of difficulty
Depth-first search
Exact cover
File:Sudoku Puzzle by L2G-20050714 standardized layout.svg
File:Sudoku puzzle hard for brute force.svg
File:Sudoku solved by bactracking.gif
Function (mathematics)
Genetic algorithm
Glossary of Sudoku
Hitting set
Index set
Integer linear programming
Knuth's Algorithm X
Mathematics of Sudoku
Partial function
Partial permutation
Permutation
Restriction (mathematics)
Set complement
Simplex algorithm
Simulated annealing
Sudoku
Tabu search
SameAs
2ZfK4
Algoritmo de sudoku
Algoritmos para la resolución de sudokus
m.0273ncg
Q2756506
Sudoku solving algorithms
Алгоритми за решавање судокуа
الگوریتم‌های حل سودوکو
Subject
Category:Abstract strategy games
Category:Search algorithms
Category:Sudoku
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Sudoku Puzzle by L2G-20050714 standardized layout.svg?width=300
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