## One solution only?

Everything about Sudoku that doesn't fit in one of the other sections

### One solution only?

Just finished a puzzle published in spanish magazine"Hola" dated Sept 8,05 and found no less than 4 perfectly valid solutions.
Who said there was only one sokution per puzzle?
Dan
Fleury

Posts: 6
Joined: 26 September 2005

If there's more than one solution, that must mean the puzzle came from a bad source (in fact, a very bad source - a monkey with a dartboard, perhaps). If you post the puzzle, we can check your assessment and share in your righteous indignation. Go on - it'll be fun!
PaulIQ164

Posts: 533
Joined: 16 July 2005

### ONE SOLUTION ONLY?

FINE, HERE WE GO, TIGER

PLENTY OF CLUES (30) AND 4 SOLUTIONS

7 - - l - - - l 2 - -
4 5 - l 1 2 8l 3 - -
- - - l - - - l 1 4 -

-============
- 4 - l 2 8 7l - 3 -
- - 3 l - 4 - l - 2 8
- 8 - l - - - l - - -

============
9 - - l - - 6 l - - -
8 1 7l - - 2 l 9 6 4
- - - l - - 4 l - - -
Fleury

Posts: 6
Joined: 26 September 2005

That is a joke, i have already found 8 solutions and i wm sure that there are more.

I am using my assistant spreadsheet and i am just guessing all the numbers and i haven't failed yet

8 work out of eight attempts and each attenpt uses about 5 guesses

what a farse.

I haven't got time to fully analyse it now but i will tomorrow and try to work out how many solutions there actually are.

I recon upwards of 200.

Does this magazine have a website?
Pi

Posts: 389
Joined: 27 May 2005

158 solutions. Get your money back!
Moschopulus

Posts: 256
Joined: 16 July 2005

### One solution only

He, he, I seem to have wet your appetite!
158 solutions I cannot believe it. How can you assess that so precisely?

Here is another one which was published in a book (spanish again) about Sudoku and rated "diabolical". I have found 2 solutions, by hand. I am curious to know how many Moshopulus would find

1 - - l - - - l - - 4
2 4 5l - - - l 7 - 8
- 3 -l 5 - - l - - -
============
9 - - l - - 3 l 1 - -
- - - l 8 - 7 l - - -
- - 7 l 6 - - l - - 2
=============
- - - l - - 9 l - 4 -
4 - 2 l - - - l 6 5 3
3 - - l - - - l - - 9
Fleury

Posts: 6
Joined: 26 September 2005

The real question is whether multiple solutions Sudokus should be absolutely ruled out or whether they could just be an extension of the game

For my money, if I find puzzles that tell me upfront: "there are 2... or 3 or 4 solutions to this puzzle", I'll try to find them all and enjoy the exercise. I agree though that 158 may be on the high side.

Opinions?

Dan
Fleury

Posts: 6
Joined: 26 September 2005

### Re: One solution only

Fleury wrote:I have found 2 solutions, by hand. I am curious to know how many Moshopulus would find

He would find only 1, so what are your 2 solutions?

S
simes

Posts: 324
Joined: 11 March 2005
Location: UK

Simes, what a peremptory affirmation

Let's split the work. Why don't you submit your "unique"solution and I will be more than happy to complement it with a second .

Dan
Fleury

Posts: 6
Joined: 26 September 2005

The given puzzle has only one solution, as simes asserts, so I think it's a fair assumption that Moschopulus will only be able to find one...

Here it is:

Code: Select all
`1 6 9  7 8 2  5 3 4  2 4 5  9 3 1  7 6 8  7 3 8  5 4 6  9 2 1  9 8 4  2 5 3  1 7 6  6 2 3  8 1 7  4 9 5  5 1 7  6 9 4  3 8 2  8 5 1  3 6 9  2 4 7  4 9 2  1 7 8  6 5 3  3 7 6  4 2 5  8 1 9`

Cheers

Gordon
gfroyle

Posts: 214
Joined: 21 June 2005

Fleury wrote:Simes, what a peremptory affirmation

Sorry, it was a little curt of me. But, as gfroyle points out, the puzzle only has one solution.

So, do you still want to post the other one?

S
simes

Posts: 324
Joined: 11 March 2005
Location: UK

Fleury wrote:The real question is whether multiple solutions Sudokus should be absolutely ruled out or whether they could just be an extension of the game
Can somebody think of a better name for puzzles where you have to fill in the grid so that every row, every column, and every 3x3 box contains the digits 1 through 9 and that have more than one solution than sudoku?
evert

Posts: 186
Joined: 26 August 2005

sodoFU
nj3h

Posts: 47
Joined: 07 July 2005

The name sudoku means "single number", or I have also seen "number singly" and "the number must occur once only" and "the number must be single" as translations.

If we can find out the Japanese for "married number" or "many numbers" or "more than one number" then maybe we'll get a name.
Moschopulus

Posts: 256
Joined: 16 July 2005

I agree that that puzzle has only on esulotion, although it shouldn;t be classed as a difficult puzzle as no advanced techniques are required to solve it

I asume that the reason that the puzzle originally posted had so many solutions was because a clue number had been missed out

As for getting a new name i disagree, the alone in sudoku sureley referes to there only being one of each digit in each row collum and mini grid
Pi

Posts: 389
Joined: 27 May 2005

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