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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Mon Aug 15, 2005 6:09 pm Post subject: Sky One publicity gaffe |
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Hi, I'm new here. If my question has been answered before, I apologise.
See [url]http://www.sudoku.org.uk/blunder.htm[/url].
The article says that this puzzle has 1905 solutions. But I think there are 1906. Did anyone on this forum check this?
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| Merri
| Joined: 02 Aug 2005 | Posts: 44 | : | | Items |
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Posted: Mon Aug 15, 2005 6:18 pm Post subject: |
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1905 is perfectly correct. |
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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Mon Aug 15, 2005 7:18 pm Post subject: |
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Hmm.. My solver says 1906, but of course it may be full of bugs, I don't know. How many solutions does this one have you think:
..1..47..
...7...38
6..9.845.
4.9......
.7.....1.
......3.9
.521.7..4
78...9...
..68..5..
Cyobiz |
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| Merri
| Joined: 02 Aug 2005 | Posts: 44 | : | | Items |
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Posted: Mon Aug 15, 2005 7:22 pm Post subject: |
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Three it tells me there to be. If you want, you can see my topic below and get my program from there and do comparisons. |
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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Mon Aug 15, 2005 8:10 pm Post subject: |
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I found 9 solutions..
It is awfully difficult to check that they are all different, but I think they are.
831654792 | 821534796 | 831254796
945712638 | 945716238 | 945716238
627938451 | 637928451 | 627938451
419385276 | 419385627 | 419385672
273496815 | 573492815 | 573492815
568271349 | 268671349 | 268671349
352167984 | 352167984 | 352167984
784529163 | 784259163 | 784529163
196843527 | 196843572 | 196843527
831654792 | 821534796 | 831524796
945712638 | 945716238 | 945716238
627938451 | 637928451 | 627938451
419386275 | 419385672 | 419385627
273495816 | 573492815 | 573492815
568271349 | 268671349 | 268671349
352167984 | 352167984 | 352167984
784529163 | 784259163 | 784259163
196843527 | 196843527 | 196843572
831654792 | 831254796 | 831524796
945712638 | 945716238 | 945716238
627938451 | 627938451 | 627938451
469381275 | 419385627 | 419385672
273495816 | 573492815 | 573492815
518276349 | 268671349 | 268671349
352167984 | 352167984 | 352167984
784529163 | 784529163 | 784259163
196843527 | 196843572 | 196843527
Now how to be sure about the "Sky publicity stunt" number of solutions...
Cyobiz |
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| Merri
| Joined: 02 Aug 2005 | Posts: 44 | : | | Items |
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Posted: Mon Aug 15, 2005 8:21 pm Post subject: |
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There are atleast two exact same solutions: the third and the ninth. Six and eight seem to match too.
Urgh, thinking typo |
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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Mon Aug 15, 2005 8:34 pm Post subject: |
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How do you count them?
1 2 3
4 5 6
7 8 9 ?
In that case the third and the ninth are different. The eighth row in 3 and 9 is respectively
7 8 4 5 2 9 1 6 3
7 8 4 2 5 9 1 6 3
interchanging 2 and 5.
Cyobiz |
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| Merri
| Joined: 02 Aug 2005 | Posts: 44 | : | | Items |
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Posted: Mon Aug 15, 2005 8:57 pm Post subject: |
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Number blindness caught me and should be sleeping already. The results seem to be valid. Counter is a late addition to my program at the moment, however it has given correct results this far. At the moment I have no idea where it could be missing a testable number, thus missing a possible solution.
Last edited by Merri on Mon Aug 15, 2005 8:58 pm; edited 1 time in total |
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| Simes
| Joined: 08 Apr 2005 | Posts: 71 | : | Location: North Yorkshire, UK | Items |
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Posted: Mon Aug 15, 2005 8:58 pm Post subject: |
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My solver says 1905... and it'll show you the lot too if you want to see them.
Follow the link below.
Simes _________________ Simes
www.sadmansoftware.com/sudoku |
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| Merri
| Joined: 02 Aug 2005 | Posts: 44 | : | | Items |
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Posted: Mon Aug 15, 2005 9:09 pm Post subject: |
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cyobiz: you have invalid sudokus there. Second, third, fifth, sixth, eight and ninth have numbers 5 in the each end of the middle row.
573492815 |
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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Tue Aug 16, 2005 9:11 am Post subject: |
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(...)
Right, so my solver reallyis full of bugs. Thanks... back to the drawing board..
Amazing; in my calculation of the sky sudoku there was ONE invalid result, raising the total to 1906. That one also had a double 5 in a row.. |
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| cyobiz
| Joined: 15 Aug 2005 | Posts: 6 | : | | Items |
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Posted: Tue Aug 16, 2005 10:50 am Post subject: |
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I found the bug. One step which was little bit too greedy. Thanks, Merri. I should have thought of testing the solutions for 'validity' first; I only checked them for 'being different'. |
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