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  2. Sudoku solving algorithms - Wikipedia

    en.wikipedia.org/wiki/Sudoku_solving_algorithms

    A Sudoku may also be modelled as a constraint satisfaction problem. In his paper Sudoku as a Constraint Problem, [14] Helmut Simonis describes many reasoning algorithms based on constraints which can be applied to model and solve problems. Some constraint solvers include a method to model and solve Sudokus, and a program may require fewer than ...

  3. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.

  4. Sudoku - Wikipedia

    en.wikipedia.org/wiki/Sudoku

    The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [26] Many Sudoku solving algorithms , such as brute force -backtracking and dancing links can solve most 9×9 puzzles efficiently, but combinatorial explosion occurs as n increases, creating practical limits to the properties of Sudokus ...

  5. Taking Sudoku Seriously - Wikipedia

    en.wikipedia.org/wiki/Taking_Sudoku_Seriously

    After an introductory chapter on Sudoku and its deductive puzzle-solving techniques [1] (also touching on Euler tours and Hamiltonian cycles), [5] the book has eight more chapters and an epilogue. Chapters two and three discuss Latin squares , the thirty-six officers problem , Leonhard Euler 's incorrect conjecture on Graeco-Latin squares , and ...

  6. Puzzle solutions for Thursday, Nov. 14, 2024

    www.aol.com/news/puzzle-solutions-thursday-nov...

    SUDOKU. Play the USA TODAY Sudoku Game.. JUMBLE. Jumbles: VINYL GULCH RADISH OPAQUE. Answer: The pharaoh commissioned an artist to decorate his tomb. The result was — “HIRE-O-GLYPHICS”

  7. Puzzle solutions for Sunday, Sept. 29

    www.aol.com/puzzle-solutions-sunday-sept-29...

    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local ... Online Crossword & Sudoku Puzzle Answers for 09/29/2024 - USA TODAY. Show ...

  8. Puzzle solutions for Tuesday, Jan. 7, 2025

    www.aol.com/news/puzzle-solutions-tuesday-jan-7...

    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers. Puzzle solutions for Tuesday, Jan. 7, 2025 Skip to main content

  9. Backtracking - Wikipedia

    en.wikipedia.org/wiki/Backtracking

    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.