by kfc, Technology Review
Sudoku is a number puzzle consisting of a 9 x 9 grid in which some cells contain clues in the form of digits from 1 to 9. The solver’s jobs is to fill in the remaining cells so that each row, column and 3×3 box in the grid contains all nine digits. There’s another unwritten rule: the puzzle must have only one solution. So grids cannot contain just a few starting clues. It’s easy to see why. A grid with 7 clues cannot have a unique answer because the two missing digits can always be interchanged in any solution. A similar argument explains why grids with fewer clues must also have multiple solutions.
http://www.technologyreview.com/blog/arxiv/27469/?p1=blogs
Share on Facebook