Why is one solution generally held to me more acceptable ...

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Why is one solution generally held to me more acceptable ...

Postby lunababy_moonchild » Mon Sep 26, 2005 9:22 pm

........than multiple solutions to the same puzzle ?

Luna
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Postby emm » Tue Sep 27, 2005 1:59 am

Good question! Why do we have to have monogamous puzzles?
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Re: Why is one solution generally held to me more acceptable

Postby tso » Tue Sep 27, 2005 2:25 am

lunababy_moonchild wrote:........than multiple solutions to the same puzzle ?

Luna




It's just convention. There no reason you can't make a puzzle that has 2 or more solutions. See http://forum.enjoysudoku.com/viewtopic.php?t=1490



There is no reason why you can't pose a puzzle in this form:

"Given that the digits 1-9 may not be repeated in the rows, columns or boxes, what digit must be in the center cell?"

... in which the Sudoku presented could have 1000's of solutions ... all of which have the same center cell.



There's no reason you couldn't present a puzzle in which there is a different solution for each of several different stipulations, say, the center cell is each of the 9 digits in turn. (This essentially turns the puzzle into nine separate puzzles, each with a unique answer.)

Crossword puzzles, lacking any additional stipulation, have a unique solution, but I've seen puzzles contructed that have two solutions -- probably much harder to construct than solve.


There's a genre of puzzle called "optimizers" in which the object is to find the *best* solution -- highest total, longest line, whatever -- and that ultimate solution may not be known and there may or may not be mutliple solutions that have the same value. These are popular in internet puzzle competitions.
http://www.otuzoyun.com/pqrst/
http://diogen.h1.ru/english/ipst.html

... and are the only puzzles allowed in the Internet Puzzle Design Tournament:

http://www.otuzoyun.com/puzzledesign/
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Postby dukuso » Tue Sep 27, 2005 6:52 am

the newspapers where the puzzle appears usually also
have to print the solution(s) in the same issue or in a subsequent
issue. With multiple solutions this is more complicated
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