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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Tue Apr 06, 2010 4:42 pm Post subject: Puzzle 10/04/06 ___ Chain |
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For those who like a chain after basics ... plus non-chain step(s).
| Code: | +-----------------------+
| 6 . 3 | . 4 . | . 9 . |
| . 2 . | 9 1 . | 5 . . |
| 9 . . | 5 . . | . . 8 |
|-------+-------+-------|
| . 3 8 | 7 9 . | . . . |
| 2 1 . | 3 5 . | 8 . 7 |
| . . . | . . . | 3 . . |
|-------+-------+-------|
| . 8 . | . 7 4 | . . . |
| 1 . . | . . . | . . . |
| . . 2 | . 8 . | . . 5 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Tue Apr 06, 2010 6:13 pm Post subject: |
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Normally I find xy-chain ok - but I couldn't see one that helped after basics...
But after a fishy cycle I had an xy-chain "wrap"...
| Quote: | Fishy cycle (7)r1c6=r1c7-r8c7=r8c3-r2c3=r3c2; r3c67<>7
xy-chain (4=7)r2c3-(7=3)r2c6-(3=2)r3c6-(2=4)r3c7-(4=7)r3c2-(7=4)r2c3; forces 4 in r2c3
xy-wing(236); r1c9<>2 |
Where did I go wrong! |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue Apr 06, 2010 8:46 pm Post subject: |
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Lots of fun -- The Texas Two Step: | Quote: | (1)r9c7=(1-7)r1c7=r1c6-(7=3)r2c6-r2c9=(3-1)r7c9=(1)r9c7; r9c7=1
xy-wing 723 removes 7's from r8c7 and r2c8 |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Tue Apr 06, 2010 9:06 pm Post subject: |
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| I need to broaden my definition of "chain"! |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Apr 07, 2010 12:47 am Post subject: |
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| peterj wrote: | Normally I find xy-chain ok - but I couldn't see one that helped after basics...
Where did I go wrong! |
Peter: The "chain" puzzles aren't meant to be solved with XY-Chains. That's why you needed the Fishy Cycle to expose one.
Regards, Danny
BTW: It's still a nice solution! |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Wed Apr 07, 2010 8:42 am Post subject: |
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Danny, thanks - I'll keep that in mind. Chain covers a lot of possibilities.
Thanks for posting these puzzles.
Peter |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Apr 07, 2010 10:20 pm Post subject: |
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| Looking at the implications of a 26 UR, r8c7<>7. After that cleanup, an XY-Wing (362) finishes it. |
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