I’ve been itching to discuss this puzzle from another angle.
I'm STILL trying to refine my AIC technique, as it seems simpler to me than some of the ‘fishy’ solutions you guys use. I’ve had some success but sometimes it STILL seems to mysteriously backfire on me:
This is the ilquerceto puzzle post:
http://forum.enjoysudoku.com/viewtopic.php?t=5364&view=next- Code: Select all
.---------------------.---------------------.---------------------.
| 3 9 1 | 67 67 2 | 8 5 4 |
| 4 2 5 | 8 1 9 | 7 3 6 |
| 7 6 8 | 3 5 4 | 9 12 12 |
:---------------------+---------------------+---------------------:
| 6 7 23 | 25 29 8 | 1235 4 1259 |
| 129 5 4 | 267 3 167 | 126 8 129 |
| 129 8 23 | 4 269 156 | 12356 126 7 |
:---------------------+---------------------+---------------------:
| 125* 13 6 | 9 27 357 | 4 127 8 |
| 8 13 9 | 2567 4 3567 | 1256 1267 125 |
| 25 4 7 | 1 8 56 | 256 9 3 |
'---------------------'---------------------'---------------------'
With locked ‘1’ candidates in box 3, r7c1<>1.
In the referenced post udosuk suggested eliminating ‘1’ candidates in box 6. Therefore I tried this Alternating Inference Chain (AIC)
- Code: Select all
.---------------------.---------------------.---------------------.
| 3 9 1 | 67 67 2 | 8 5 4 |
| 4 2 5 | 8 1 9 | 7 3 6 |
| 7 6 8 | 3 5 4 | 9 12* 12* |
:---------------------+---------------------+---------------------:
| 6 7 23 | 25 29 8 | 1235 4 259-1 |
| 129 5 4 | 267 3 167 | 126 8 29-1 |
| 129 8 23 | 4 269 156 | 12356 126 7 |
:---------------------+---------------------+---------------------:
| 25 13* 6 | 9 27 357 | 4 127* 8 |
| 8 13 9 | 2567 4 3567 | 1256 1267 25-1 |
| 25 4 7 | 1 8 56 | 256 9 3 |
'---------------------'---------------------'---------------------'
(1)r7c2=r7c8-r3c8=r3c9=>r458c9<>1
this does not agree with the solution, as r4c9=1 is the correct answer.
What did I do wrong?