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- Knuth's_Algorithm_X abstract "Donald Knuth's Algorithm X is a recursive, nondeterministic, depth-first, backtracking algorithm that finds all solutions to the exact cover problem represented by a matrix A consisting of 0s and 1s. The goal is to select a subset of the rows so that the digit 1 appears in each column exactly once.Algorithm X functions as follows:The nondeterministic choice of r means that the algorithm essentially clones itself into independent subalgorithms; each subalgorithm inherits the current matrix A, but reduces it with respect to a different row r.If column c is entirely zero, there are no subalgorithms and the process terminates unsuccessfully.The subalgorithms form a search tree in a natural way, with the original problem at the root and with level k containing each subalgorithm that corresponds to k chosen rows.Backtracking is the process of traversing the tree in preorder, depth first.Any systematic rule for choosing column c in this procedure will find all solutions, but some rules work much better than others.To reduce the number of iterations, Knuth suggests that the column choosing algorithm select a column with the lowest number of 1s in it.".
- Knuth's_Algorithm_X wikiPageExternalLink srcview.aspx?dir=Sudoku&file=ExactCover.cs.
- Knuth's_Algorithm_X wikiPageExternalLink polycube-solver.
- Knuth's_Algorithm_X wikiPageExternalLink dancing-color.ps.gz.
- Knuth's_Algorithm_X wikiPageID "3626542".
- Knuth's_Algorithm_X wikiPageRevisionID "495309363".
- Knuth's_Algorithm_X hasPhotoCollection Knuth's_Algorithm_X.
- Knuth's_Algorithm_X subject Category:Donald_Knuth.
- Knuth's_Algorithm_X subject Category:Search_algorithms.
- Knuth's_Algorithm_X type Abstraction100002137.
- Knuth's_Algorithm_X type Act100030358.
- Knuth's_Algorithm_X type Activity100407535.
- Knuth's_Algorithm_X type Algorithm105847438.
- Knuth's_Algorithm_X type Event100029378.
- Knuth's_Algorithm_X type Procedure101023820.
- Knuth's_Algorithm_X type PsychologicalFeature100023100.
- Knuth's_Algorithm_X type Rule105846932.
- Knuth's_Algorithm_X type SearchAlgorithms.
- Knuth's_Algorithm_X type YagoPermanentlyLocatedEntity.
- Knuth's_Algorithm_X comment "Donald Knuth's Algorithm X is a recursive, nondeterministic, depth-first, backtracking algorithm that finds all solutions to the exact cover problem represented by a matrix A consisting of 0s and 1s.".
- Knuth's_Algorithm_X label "Algorithme X de Knuth".
- Knuth's_Algorithm_X label "Knuth's Algorithm X".
- Knuth's_Algorithm_X sameAs Algorithme_X_de_Knuth.
- Knuth's_Algorithm_X sameAs m.09qv19.
- Knuth's_Algorithm_X sameAs Q6424025.
- Knuth's_Algorithm_X sameAs Q6424025.
- Knuth's_Algorithm_X sameAs Knuth's_Algorithm_X.
- Knuth's_Algorithm_X wasDerivedFrom Knuth's_Algorithm_X?oldid=495309363.
- Knuth's_Algorithm_X isPrimaryTopicOf Knuth's_Algorithm_X.