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Many Sudokus have been found with 17 clues, although finding them is not a trivial task. [2] [3] A 2014 paper by Gary McGuire, Bastian Tugemann, and Gilles Civario proved that the minimum number of clues in any proper Sudoku is 17 through an exhaustive computer search based on hitting set enumeration.
Under the name "Mini Sudoku", a 6×6 variant with 3×2 regions appears in the American newspaper USA Today and elsewhere. The object is the same as that of standard Sudoku, but the puzzle only uses the numbers 1 through 6.
Sudoku. Completely fill the 9x9 grid, using the values 1 through 9 only once in each 3x3 section of the puzzle. By Masque Publishing
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.
Each row, column, or block of the Sudoku puzzle forms a clique in the Sudoku graph, whose size equals the number of symbols used to solve the puzzle. A graph coloring of the Sudoku graph using this number of colors (the minimum possible number of colors for this graph) can be interpreted as a solution to the puzzle.
During six years of yearly follow-ups, 509 participants were diagnosed with dementia and 1,760 developed cognitive decline without a dementia diagnosis.
The American economy expanded at a healthy 2.8% annual pace from July through September on strong consumer spending and a surge in exports, the government said Wednesday, leaving unchanged its ...
Thomas Snyder has contributed puzzles to various puzzle-related publications including GAMES Magazine and Wired.He has also written puzzles for events including the World Sudoku Championship, U.S. Puzzle Championship, the MIT Mystery Hunt, Gen Con, and the Microsoft Puzzle Picnic.
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