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| Ruud Site Admin
| Joined: 17 Sep 2005 | Posts: 708 | : | Location: Netherlands | Items |
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Posted: Thu Dec 29, 2005 7:37 pm Post subject: Is this a BUG? |
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Hi,
I know this discussion has largely been held on the players forum, but most participants also visit this forum, so here is my question:
I found the following Sudoku while I was generating new ones with both horizontal and vertical symmetry:
Code: | . 5 .|. . .|. 4 .
. . 1|. 9 .|8 . .
2 7 .|. . .|. 1 6
-----+-----+-----
. . .|5 . 8|. . .
8 . .|. . .|. . 2
. . .|7 . 4|. . .
-----+-----+-----
4 6 .|. . .|. 3 5
. . 7|. 3 .|4 . .
. 3 .|. . .|. 9 . |
After a very easy opening, this sudoku requires crowbar techniques. When I tested a candidate, it came to his pattern:
Code: | .------------.------------.------------.
| 69 5 69 | 8 7 1 | 2 4 3 |
| 3 4 1 | 26 9 26 | 8 5 7 |
| 2 7 8 | 34 45 35 | 9 1 6 |
:------------+------------+------------:
| 7 9 3 | 5 2 8 | 1 6 4 |
| 8 1 4 | 39 6 39 | 5 7 2 |
| 56 2 56 | 7 1 4 | 3 8 9 |
:------------+------------+------------:
| 4 6 29 | 1 8 29 | 7 3 5 |
| 59 8 7 | 69 3 569| 4 2 1 |
| 1 3 25 | 24 45 7 | 6 9 8 |
'------------'------------'------------' |
I noticed that there is only one cell with 3 candidates left. This reminded me of the Bivalue Universal Grave (BUG) discussion I've seen on the players forum.
I have a few questions, before coding this into Sudo Cue:
When this happens (all unbound cells have 2 candidates except one with 3 candidates), is it always a BUG situation, or do I need to perform additional tests?
In this case, candidate 9 in R8C6 does solve the Sudoku. I read I can pick it because it has 3 entries in cel, row, column and box. Is this always the case, or are there also other variations of the BUG pattern?
Ruud. _________________ Meet me at sudocue.net |
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| Carcul
| Joined: 29 Dec 2005 | Posts: 50 | : | Location: Coimbra, Portugal | Items |
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Posted: Thu Dec 29, 2005 9:27 pm Post subject: |
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Hi Ruud.
When you have a grid with all non assigned cells with two candidates, except one with three candidates, you can always immediatly apply the BUG principle. This is the most simple application of the BUG principle. However, there are other variations, for example in a grid with more than one cell with three candidates or even one (or more) cells with four candidates. You can see these examples in the players forum in the thread entitled "The BUG principle".
Regards, Carcul |
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