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Mathematician claims breakthrough in Sudoku puzzle

A sudoku puzzle needs at least 17 clues to be solvable.

“An Irish mathematician has used a complex algorithm and millions of hours of supercomputing time to solve an important open problem in the mathematics of Sudoku, the game popularized in Japan that involves filling in a 9X9 grid of squares with the numbers 1–9 according to certain rules. Gary McGuire of University College Dublin shows in a proof posted online that the minimum number of clues — or starting digits — needed to complete a puzzle is 17; puzzles with 16 or fewer clues do not have a unique solution. Most newspaper puzzles have around 25 clues, with the difficulty of the puzzle decreasing as more clues are given.”  Read more…

(source: Gary McGuire et al., via Nature)

    • #science
    • #mathematics
    • #proof
    • #Sudoku
  • 1 year ago
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