Only one right answer?

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Only one right answer?

Postby maybroda » Thu Aug 10, 2006 6:55 am

I am relatively new to Suduku and am really enjoying it. I have one question though...Can someone tell me if there is only one correct answer to a puzzle. I have been working through some puzzles and I understand the rules of only one number 1-9 per column, row and 3x3 square. When I complete the puzzle I have followed those rules and I consistently find that my completed puzzle is different than the one that is supplied in the answer book. Am I missing something and doing something wrong or is it possible to have more than one way of completing a puzzle. Thank-you for your help and I look forward to a response because this is driving me crazy!
Kori
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Postby ravel » Thu Aug 10, 2006 7:18 am

If a puzzle has more than one solution and that is not explicitley pointed out, then its a shame, because normally you cant solve it without guessing.
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Postby lunababy_moonchild » Thu Aug 10, 2006 7:19 am

It very much depends on whose puzzles you are doing. You don't mention the book so it's difficult to say if the puzzles have more than one answer.

Pappocom's puzzles have only one answer and they can be found in the Times Books and books by Wayne Gould. Nikoli's puzzles have only one answer and they can be found in a variety of books.

It would be more helpful if you could at least name the book you are working from.

Luna
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Postby udosuk » Thu Aug 10, 2006 7:32 am

Sudoku - puzzles with a single unique solution.

Pseudoku - puzzles with multiple solutions.
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Postby ab » Thu Aug 10, 2006 10:32 am

Why not post one (or two) of your puzzles to this forum and see how many solutions other people find. it may be that the puzzle book you are using is not a good source of puzzles.

Alternatively put some of the puzzles into some of the software available for solving them. here's a link to the software I produced:
http://uk.geocities.com/aidan_001/software.html
The brute force solver will tell you if a puzzle is not unique.
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Postby Smythe Dakota » Fri Aug 11, 2006 2:42 am

My wife bought me some Sudoku software at Walgreens, for about $2.00 I think, that has zillions of bugs. There are around 700 puzzles, about 20% of which seem to have dual solutions. In these, the duality invariably forms a rectangle -- for example, there might be two ways to fill in the final four cells at r5c5, r5c9, r6c5, r6c9.

Bill Smythe
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Postby ab » Fri Aug 11, 2006 1:39 pm

add it to the hall of shame thread Bill:
http://forum.enjoysudoku.com/viewtopic.php?t=3071
and then go and download my software for free:)
all the puzzles it produces have unique solutions. If you feel the need to reward me for my efforts, go and buy one of my sudoku t-shirts.
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Postby Smythe Dakota » Sat Aug 12, 2006 4:15 pm

The $2 price tag for the Walgreens software hardly merits putting it into the Hall of Shame -- what would one expect for that price?

If there's a dual solution (for the last 4 cells only), what's the big deal? It still provides hours of entertainment, for us casual solvers anyway, considering the number of puzzles provided.

A dual solution, though, could really throw a monkey wrench into anybody using uniqueness methods to solve a puzzle. Such a person might rule out a "valid" solution (if a dual solution can be regarded as valid) and eventually conclude there is NO solution.

Bill Smythe
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Postby ab » Sun Aug 13, 2006 7:10 pm

Smythe Dakota wrote:The $2 price tag for the Walgreens software hardly merits putting it into the Hall of Shame -- what would one expect for that price?

I disagree strongly. They are asking you for money for something of a poor quality. i am offering you a similar product for free only the quality is much higher.
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