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.[citation needed] 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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use a wide range of computer algorithms to solveSudokus, study their properties, and make new puzzles, including Sudokus with interesting symmetries and...
Futoshiki Glossary of Sudoku Hashiwokakero Hidato KenKen List of Nikoli puzzle types Logic puzzle Nonogram Str8ts Sudokusolvingalgorithms Grossman, Lev (March...
trees for better performance, solvingsudoku puzzles, hyperparameter optimization, causal inference, etc. In a genetic algorithm, a population of candidate...
example, 4 and 7. KenKen Sudoku Mathematics of SudokuSudokusolvingalgorithms "The Math Behind Sudoku: Introduction to Sudoku". Cornell University. Retrieved...
methods for sudoku codes. Some algorithms are very specific developments for Sudoku codes. Several methods are described in sudokusolvingalgorithms. Another...
inference Eight queens puzzle Map coloring problem Maximum cut problem Sudoku, crosswords, futoshiki, Kakuro (Cross Sums), Numbrix/Hidato and many other...
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within...
using Dancing Links. Main articles: Sudoku, Mathematics of Sudoku, Sudokusolvingalgorithms The problem in Sudoku is to assign numbers (or digits, values...
occupied. If a diagonal is occupied, it can be occupied only once. Sudokusolvingalgorithms Knuth, Donald E. (2000). "Dancing links". Millennial Perspectives...
all known algorithms for finding solutions take, for difficult examples, time that grows exponentially as the grid gets bigger. So, Sudoku is in NP (quickly...
who focus specifically on solving these puzzles at high speeds, or more generally as "cubers". The essential aspect of solving these puzzles typically involves...
these algorithms are sometimes called sequential coloring algorithms. The maximum (worst) number of colors that can be obtained by the greedy algorithm, by...
former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles...
was developing the OLL and PLL algorithms, which together allowed any last layer position to be solved with two algorithms and was significantly faster...
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...
colours. The aim is to solveSudoku puzzles on all of the sides. The toy was created in 2006 by Jay Horowitz in Sebring, Ohio. The Sudoku Cube was invented...
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...
Dennis (2015). "A critical analysis of the harmony search algorithm—How not to solvesudoku". Operations Research Perspectives. 2: 97–105. doi:10.1016/j...
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...
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...
as constraint satisfaction problems are the eight queens puzzle, the Sudokusolving problem and many other logic puzzles, the Boolean satisfiability problem...
algorithms – i.e. performing any algorithm X followed by a superflip algorithm yields exactly the same position as performing the superflip algorithm...
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