| View previous topic :: View next topic |
| Author |
Message |
Bud
Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida
|
 Posted: Thu Oct 21, 2010 6:50 pm Post subject: Extended M-Ring Example |
 |
|
The extended M-Ring in the example has forcing path cells denoted by *. These paths are: (2)r3c7-r9c7=(2)r9c5 and (8)r3c7-r13c9=(8)r7c9-r9c78=(8)r9c5. This proves that r3c7=r9c5 = 28 => r3c7<>1. If these 2 cells=2 or if r9c7=2, then r8c7<>2. If these two cells=8 or if r9c78 & r13c9=8, then r23c8<>8. This M-Ring differs from the examplars in Strmckr's post in that the latter has forcing paths which are only 3 cells long whereas in this example the 8 digit has a path which is 5 cells long (counting grouped cells as one). The fact that the 8 digit has an extended path is why I have called it an extended M-Wing. As long as either or both of these paths have an odd number of cells they will work the same as a normal M-Ring.
Extended M-Ring Pattern Example | Code: |
+--------------------+-------------------+------------------+
| 2 56 569 | 689 5789 1 | 4 3 789* |
| 1389 134 1349 | 2389 23789 29 | 6 17-89 5 |
| 13589 1356 7 | 4 3589 569 | 28* 1-89 1289*|
+--------------------+-------------------+------------------+
| 3579 3457 3459 | 1 6 8 | 3579 2 79 |
| 6 137 13 | 29 259 259 | 378 178 4 |
| 159 8 2 | 7 4 3 | 59 1569 169 |
+--------------------+-------------------+------------------+
| 35 2356 356 | 23689 2389 7 | 1 4 2689*|
| 4 12367 8 | 2369 1239 269 |-2579 5679 2679 |
| 17 9 16 | 5 -128* 4 | 278* 678* 3 |
+--------------------+-------------------+------------------+ |
The original puzzle is yesterdays daily tough at sudoku.com.au. I used an AIC to eliminate 9 from r3c7 and basic moves to reach this point in the puzzle. |
|
| Back to top |
|
 |
strmckr
Joined: 18 Aug 2009
Posts: 66
|
| Posted: Fri Oct 22, 2010 1:37 am Post subject: |
|
|
nice extension  defiantly fits
also seen as a
Grouped Continuous Nice Loop: 1/2/8 8= r9c5 =2= r9c7 -2- r3c7 -8- r13c9 =8= r7c9 -8- r7c45 =8= r9c5 =2 => r9c5<>1, r8c7<>2, r23c8<>8 |
|
| Back to top |
|
|
|
|
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
|
Powered by phpBB © 2001, 2005 phpBB Group
|
FAQ
Search
Memberlist
Usergroups
Register
Profile
Log in to check your private messages
Log in
