use a wide range of computer algorithms to solve Sudokus, study their properties, and make new puzzles, including Sudokus with interesting symmetries and...
15 KB (1,945 words) - 08:11, 28 February 2025
Backtracking (redirect from Applications of backtracking algorithms)
Algorithms to complete a sudoku See Sudoku solving algorithms. Gurari, Eitan (1999). "CIS 680: DATA STRUCTURES: Chapter 19: Backtracking Algorithms"...
15 KB (1,986 words) - 14:56, 21 September 2024
general problem of solving Sudoku puzzles on n2×n2 grids of n×n blocks is known to be NP-complete. Many Sudoku solving algorithms, such as brute force-backtracking...
27 KB (3,043 words) - 10:59, 12 June 2025
methods for sudoku codes. Some algorithms are very specific developments for Sudoku codes. Several methods are described in sudoku solving algorithms. Another...
18 KB (2,927 words) - 06:01, 22 July 2023
trees for better performance, solving sudoku puzzles, hyperparameter optimization, and causal inference. In a genetic algorithm, a population of candidate...
69 KB (8,221 words) - 21:33, 24 May 2025
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...
21 KB (2,295 words) - 14:32, 13 March 2025
example, 4 and 7. KenKen Sudoku Mathematics of Sudoku Sudoku solving algorithms "The Math Behind Sudoku: Introduction to Sudoku". Cornell University. Retrieved...
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Dancing Links (category Sudoku)
occupied. If a diagonal is occupied, it can be occupied only once. Sudoku solving algorithms Knuth, Donald E. (2000). "Dancing links". Millennial Perspectives...
8 KB (1,035 words) - 02:12, 28 April 2025
Constraint satisfaction problem (redirect from Algorithms for solving constraint satisfaction problems)
inference Eight queens puzzle Map coloring problem Maximum cut problem Sudoku, crosswords, futoshiki, Kakuro (Cross Sums), Numbrix/Hidato, Zebra Puzzle...
29 KB (3,364 words) - 17:29, 24 May 2025
generalized Sudoku is in NP (quickly verifiable), but may or may not be in P (quickly solvable). (It is necessary to consider a generalized version of Sudoku, as...
63 KB (7,784 words) - 06:53, 25 April 2025
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within...
11 KB (1,453 words) - 16:18, 10 February 2025
Exact cover (section Sudoku)
using Dancing Links. Main articles: Sudoku, Mathematics of Sudoku, Sudoku solving algorithms The problem in Sudoku is to assign numbers (or digits, values...
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Graph coloring (redirect from Algorithms for graph coloring)
these algorithms are sometimes called sequential coloring algorithms. The maximum (worst) number of colors that can be obtained by the greedy algorithm, by...
70 KB (8,459 words) - 05:58, 16 May 2025
Rubik's Cube (redirect from Algorithms for solving Rubik's Cubes)
end-state. Each method of solving the Cube employs its own set of algorithms, together with descriptions of what effect the algorithm has, and when it can...
99 KB (10,369 words) - 19:04, 17 June 2025
Speedcubing (redirect from World's fastest rubix solver)
the top side is solved in 1 of 57 algorithms, and finally PLL (Permutation of the Last Layer) where you do 1 of 21 algorithms to solve the rest of the...
42 KB (4,388 words) - 03:06, 12 June 2025
former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles...
87 KB (9,997 words) - 00:26, 1 June 2025
Gear Cube (section Solving steps)
as necessary). Solving the Gear Cube is based more on the observations the solver makes. There are only two algorithms needed to solve the cube, so finding...
11 KB (1,520 words) - 04:54, 15 February 2025
Megaminx (section Top 5 solvers by single solve)
disturbing the solved lower layers. These "algorithms" are similar to those used on a Rubik's Cube and thus familiar to those experienced in solving one, with...
20 KB (2,660 words) - 16:32, 4 June 2025
NP-completeness (section Solving NP-complete problems)
approaches like Genetic algorithms may be. Restriction: By restricting the structure of the input (e.g., to planar graphs), faster algorithms are usually possible...
30 KB (3,618 words) - 08:25, 21 May 2025
Tower of Hanoi (redirect from Frame-Stewart algorithm)
peg B if the number of disks is odd and peg C if it is even. The key to solving a problem recursively is to recognize that it can be broken down into a...
50 KB (7,075 words) - 01:19, 17 June 2025
Ariadne's thread (logic) (category Problem solving methods)
example Solving Sudoku Step-by-step guide by Michael Mepham; includes history of Ariadne's thread and demonstration of application Constructing Sudoku A flow...
7 KB (967 words) - 00:51, 11 January 2025
nullify all negative values within the support. Sudoku Solver - A Sudoku solver based on Difference Map algorithm. Elser, V.; Rankenburg, I.; Thibault, P. (9...
13 KB (1,660 words) - 16:30, 16 June 2025
Pyraminx (section Top 5 solvers by single solve)
three edges are solved first, and a set of algorithms, also called LL (last layer) algorithms, are used to solve the remainder of the puzzle. 2) Top First...
10 KB (1,057 words) - 01:53, 5 June 2025
Combination puzzle (redirect from Sudoku Cube)
in some other way. The Sudoku Cube or Sudokube is a variation on a Rubik's Cube in which the aim is to solve one or more Sudoku puzzles on the sides or...
32 KB (1,394 words) - 17:35, 10 May 2025
Pocket Cube (section Top 5 solvers by single solve)
require more algorithms. These algorithms designed for solving a 2×2×2 cube are often significantly shorter and faster than the algorithms one would use...
14 KB (1,642 words) - 15:00, 8 June 2025
Verbal arithmetic (section Solving cryptarithms)
Alphametics can be combined with other number puzzles such as Sudoku and Kakuro to create cryptic Sudoku and Kakuro. Anton Pavlis constructed an alphametic in...
10 KB (1,444 words) - 23:51, 25 February 2025
CFOP method (section Minimizing algorithms learnt)
If the solver is particularly advanced, they can skip separately solving the first F2L pair after the cross by solving an X-cross (solving the cross...
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Solving the puzzle means to reach a designated "final configuration", a singular configuration, or one of a collection of configurations. To solve the...
13 KB (1,646 words) - 08:35, 9 March 2025
Dennis (2015). "A critical analysis of the harmony search algorithm—How not to solve sudoku". Operations Research Perspectives. 2: 97–105. doi:10.1016/j...
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Monotone dualization (category Quasi-polynomial time algorithms)
Tugemann, Bastian; Civario, Gilles (2014), "There is no 16-clue Sudoku: solving the Sudoku minimum number of clues problem via hitting set enumeration",...
24 KB (3,363 words) - 23:17, 24 May 2025