Two solutions

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Two solutions

Postby Javier Cia » Fri Jan 13, 2006 10:31 pm

Here is a sudoku, very hard, from sudoku web page, with two different solutions.
Is this correct? Any comments?
Thanks
Javier
First the puzzle, then the solutions
[/code]
. 4 . | . 1 . | . . 9|
. . . | . . . | . 1 . |
9 . . | . . . | 4 . 5 |
------+-----+------+
. . 4 | . . 6 | . 8 . |
. . . | 3 8 9 | . . . |
. 5 . | 4 . . | 6 . . |
------+-----+------+
5 . 8 | . . 2| . . 1 |
. . . | . . .| . . . |
7 . . | . 6 . | . 3 . |
-----+------+-----+

first solution

3 4 5 | 6 1 7 | 8 2 9 |
2 8 6 | 9 4 5 | 3 1 7 |
9 7 1 | 8 2 3 | 4 6 5 |
-------+-------+------+
1 9 4 | 2 5 6 | 7 8 3 |
6 2 7 | 3 8 9 | 1 5 4 |
8 5 3 | 4 7 1 | 6 9 2 |
-------+-------+------+
5 6 8 | 7 3 2 | 9 4 1 |
4 3 2 | 1 9 8 | 5 7 6 |
7 1 9 | 5 6 4 | 2 3 8 |
-------+-------+------+

second solution

2 4 5 | 6 1 3 | 8 7 9 |
6 8 7 | 9 4 5 | 3 1 2 |
9 3 1 | 8 2 7 | 4 6 5 |
------+-------+-------+
3 9 4 | 2 5 6 | 1 8 7 |
1 7 6 | 3 8 9 | 2 5 4 |
8 5 2 | 4 7 1 | 6 9 3 |
------+-------+-------+
5 6 8 | 7 3 2 | 9 4 1 |
4 1 3 | 5 9 8 | 7 2 6 |
7 2 9 | 1 6 4 | 5 3 8 |
------+-------+------+
Code: Select all
Javier Cia
 
Posts: 10
Joined: 02 January 2006

Postby Chessmaster » Fri Jan 13, 2006 10:40 pm

it is right enless i missed somthing.
Chessmaster
 
Posts: 191
Joined: 21 December 2005

Postby CathyW » Fri Jan 13, 2006 11:16 pm

Simple Sudoku says this puzzle has 62 solutions!!
CathyW
 
Posts: 316
Joined: 20 June 2005

Postby Javier Cia » Fri Jan 13, 2006 11:40 pm

I have read that a good and genuine sudoku should only have one solution
Javier Cia
 
Posts: 10
Joined: 02 January 2006

Re: Two solutions

Postby QBasicMac » Sat Jan 14, 2006 12:49 am

Javier Cia wrote:from sudoku web page


Which web page? URL, please.

Thanks,

Mac

P.S. I'm betting this is the actual puzzle
Code: Select all
-4-  -1-  --9
---  ---  -1-
9--  8--  4-5

--4  --6  -8-
---  389  ---
-5-  4--  6--

5-8  --2  --1
-1-  ---  ---
7--  -6-  -3-
QBasicMac
 
Posts: 441
Joined: 13 July 2005

Did you have to use trial and error to get the solutions?

Postby vz » Sat Jan 14, 2006 2:57 pm

What did you do after applying the usual logical techniques? I couldn't get solve after usual things including Swordfish, XWing, Color PAirs, naked triples, etc.

ps. I don't mind if a puzzle has 2 solutions as long as it can be solved logically without trial and error. Thanks
vz
 
Posts: 4
Joined: 14 January 2006

Re: Did you have to use trial and error to get the solutions

Postby tso » Sat Jan 14, 2006 6:58 pm

vz wrote:What did you do after applying the usual logical techniques? I couldn't get solve after usual things including Swordfish, XWing, Color PAirs, naked triples, etc.

ps. I don't mind if a puzzle has 2 solutions as long as it can be solved logically without trial and error. Thanks


Read my reply here.
tso
 
Posts: 798
Joined: 22 June 2005


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