Multiple solutions

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one solution

Postby jayal » Sat Apr 23, 2005 10:26 am

IJ wrote "one of these reductions will come back and resolve one half of the original pair"

some of the posts are way over my head but maybe someone can throw some light (logic?) on this


can't recall where i got this from but it has at least three solutions

xxx 9xx xxx
xxx 87x x35
x14 xxx xxx

13x x2x 9xx
6xx xxx xx8
xx7 x1x x53

xxx xxx 12x
24x x8x xxx
xxx xxx xxx

box 2 - row 3 - cells 4 5 6 - have choices
3.5 - 3.5.6 - 3.6
box 5 - row 5 - cells 4 5 6 - have choices
3.4.5 - 3.5 - 3.4
box 8 - row 7 - cells 4 5 6 - have choices
3.4 - 3.6 - 3.4.6 -- this also has the option of a 3 & 4 swap between rows 5 & 7

confused? how d'you think i feel?
jayal
 
Posts: 15
Joined: 18 April 2005

Postby Animator » Sat Apr 23, 2005 11:04 am

If you don't recall where it came from then it might have multiple solutions...

It is possible to have Sudoku puzzles with mutiple solutions...

What is impossible is that Sudoku puzzles generated by the Sudoku-program (available at http://www.WayneGouldPuzzles.com/) generates a puzzle with multiple solutions... (but there are other programs and persons generating there own puzzles, which might generate puzzles with multiple solutions...)
Animator
 
Posts: 469
Joined: 08 April 2005

Postby Sue De Coq » Sat Apr 23, 2005 5:54 pm

jayal,

According to my calculations, your puzzle has 68 distinct solutions! (I won't bore you with a complete list). Its lack of symmetry suggests that the puzzle is a work-in-progress and that the composer should have added a few more clues before he published.
Sue De Coq
 
Posts: 93
Joined: 01 April 2005


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