Welcome to DU! The truly grassroots left-of-center political community where regular people, not algorithms, drive the discussions and set the standards. Join the community: Create a free account Support DU (and get rid of ads!): Become a Star Member Latest Breaking News General Discussion The DU Lounge All Forums Issue Forums Culture Forums Alliance Forums Region Forums Support Forums Help & Search

n2doc

(47,953 posts)
Sat Jan 7, 2012, 04:47 PM Jan 2012

Mathematicians Solve Minimum Sudoku Problem

Sudoku fanatics have long claimed that the smallest number of starting clues a puzzle can contain is 17. Now a year-long calculation proves there are no 16-clue puzzles
KFC 01/06/2012

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.

But it's not so easy to see why a grid with 8 clues cannot have a unique solution, or indeed one with 9 or more clues.

more
http://www.technologyreview.com/blog/arxiv/27469/?p1=blogs

4 replies = new reply since forum marked as read
Highlight: NoneDon't highlight anything 5 newestHighlight 5 most recent replies
Mathematicians Solve Minimum Sudoku Problem (Original Post) n2doc Jan 2012 OP
I though this was minimum Sudoku caraher Jan 2012 #1
How about a 1x1 sudoku? BadgerKid Jan 2012 #2
You asshole... Glassunion Jan 2012 #3
You too, huh? Dead_Parrot Jan 2012 #4

Glassunion

(10,201 posts)
3. You asshole...
Mon Jan 9, 2012, 04:53 PM
Jan 2012

You had to put the puzzle up didn't you. Couldn't have just posted the text from the article could you.

Now I have to solve it... I thought I was over my addiction, but noooooo. Now I'm off the wagon doing this damn puzzle.

Damn it!!!

Latest Discussions»Culture Forums»Science»Mathematicians Solve Mini...