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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.
Some hobbyists have developed computer programs that will solve Sudoku puzzles using a backtracking algorithm, which is a type of brute force search. [3] Backtracking is a depth-first search (in contrast to a breadth-first search), because it will completely explore one branch to a possible solution before moving to another branch.
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 that can be constructed, analyzed, and solved as n increases. A Sudoku puzzle can be expressed as a graph coloring ...
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”
SUDOKU. Play the USA TODAY Sudoku Game.. JUMBLE. Jumbles: FORTY HUTCH HAGGLE CHILLY. Answer: He’d planned to cut the tree so it ended up away from the house, but his plans — FELL THROUGH
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 ...