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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Nov 22, 2008 1:26 am Post subject: VH: Set B Puzzle 1 |
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Code: | +-----------------------+
| . . 9 | . . . | . . 2 |
| . 5 . | 9 7 . | . . 6 |
| 8 . 2 | . . 6 | . . . |
|-------+-------+-------|
| . 4 . | 1 . . | 5 . 7 |
| . 7 . | . 9 . | . . . |
| . . 8 | . . . | 1 . . |
|-------+-------+-------|
| . . . | 5 . 9 | 7 . 4 |
| . . . | . . . | . . 3 |
| 4 9 . | 8 . . | 2 1 . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sat Nov 22, 2008 5:06 am Post subject: |
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More wings than a Buffalo chicken!
Keith |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Nov 22, 2008 5:17 am Post subject: |
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keith wrote: | More wings than a Buffalo chicken! |
But just one was needed, which was the first one I saw.
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Sat Nov 22, 2008 11:57 am Post subject: |
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A fun puzzle.
Quick during basics,
surprisingly many decoys (wings and transportations that looked like they might solve the puzzle but then didn't)
and an "elegant" (right, dan/arkietech ?) solution (which I missed first time around, cause I stupidly forgot to cross out a candidate 5 in the r8c1 pencil marks, which prevented me from finding the w-wing...)
Thanks Danny, keep those puzzles coming! |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Nov 22, 2008 12:27 pm Post subject: |
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nataraj wrote: | surprisingly many decoys (wings and transportations that looked like they might solve the puzzle but then didn't)
and an "elegant" (right, dan/arkietech ?) solution (which I missed first time around, cause I stupidly forgot to cross out a candidate 5 in the r8c1 pencil marks, which prevented me from finding the w-wing...)
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Right on A gem that needs to be looked at for a while. |
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cgordon
Joined: 04 May 2007 Posts: 769 Location: ontario, canada
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Posted: Sat Nov 22, 2008 3:33 pm Post subject: |
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I'm not a wing nut. I have trouble finding them - even using recommended techniques. So I gave up, went back the Forum, and saw it was wingable. I certainly didn't finish with one wing as did Marty - it took me about 7 or 8 incl. an x-wing and xyz wing.
This one should be required reading for a wing licence. |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Nov 22, 2008 6:47 pm Post subject: |
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After some study this is the best I could do Code: | *-----------------------------------------------------------*
| 7 6 9 | 3 8 1 | 4 5 2 |
| 1 5 4 | 9 7 2 | 38 38 6 |
| 8 3 2 | 4 5 6 | 9 7 1 |
|-------------------+-------------------+-------------------|
| 9 4 C36 | 1 B23 8 | 5 236 7 |
| 35-6 7 1 |A26 9 45 | 36 2346 8 |
| 356 2 8 | 67 34 457 | 1 346 9 |
|-------------------+-------------------+-------------------|
| 236 18 36 | 5 12 9 | 7 68 4 |
| 26 18 5 | 27 124 47 | 68 9 3 |
| 4 9 7 | 8 6 3 | 2 1 5 |
*-----------------------------------------------------------*
xy-wing starts it
*-----------------------------------------------------------*
| 7 6 9 | 3 8 1 | 4 5 2 |
| 1 5 4 | 9 7 2 |G38 38 6 |
| 8 3 2 | 4 5 6 | 9 7 1 |
|-------------------+-------------------+-------------------|
| 9 4 36 | 1 23 8 | 5 236 7 |
|A35 7 1 | 26 9 B45 | 6-3 2346 8 |
| 356 2 8 | 67 34 457 | 1 346 9 |
|-------------------+-------------------+-------------------|
| 236 18 36 | 5 12 9 | 7 68 4 |
|E26 18 5 |D27 124 C47 |F68 9 3 |
| 4 9 7 | 8 6 3 | 2 1 5 |
*-----------------------------------------------------------*
xy-chain finishes it off |
Edit: added omitted cell in chain
Last edited by arkietech on Sat Nov 22, 2008 11:53 pm; edited 1 time in total |
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Sat Nov 22, 2008 6:58 pm Post subject: |
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dan, the w-wing Marty mentioned:
(2)r8c1=r5c4 (via SL (6) in col 7)
does the job in one step. |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Nov 22, 2008 7:22 pm Post subject: |
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nataraj wrote: | dan, the w-wing Marty mentioned:
(2)r8c1=r5c4 (via SL (6) in col 7)
does the job in one step. | Elegent |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Nov 22, 2008 10:08 pm Post subject: |
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cgordon wrote: | I'm not a wing nut. I have trouble finding them - even using recommended techniques. So I gave up, went back the Forum, and saw it was wingable. I certainly didn't finish with one wing as did Marty - it took me about 7 or 8 incl. an x-wing and xyz wing.
This one should be required reading for a wing license. |
I am a terrible manual solver ... unless I have a solver to help me by highlighting candidates and pairs. Then, I jump up to mediocre (sic?) status.
I agree that this puzzle can be very taxing. There are three XY-Wings present after basics. Together, they crack the puzzle. However, performing them individually leads to additional XY-Wings being exposed, along with eliminations from other techniques, that might distract you.
Code: | XY-Wing [r5c4]/[r4c5]+[r5c7] <> 3 [r4c8]
XY-Wing [r4c5]/[r4c3]+[r5c4] <> 6 [r5c1]
XY-Wing [r8c4]/[r6c4]+[r8c1] <> 6 [r6c1]
*-----------------------------------------------------------*
| 7 6 9 | 3 8 1 | 4 5 2 |
| 1 5 4 | 9 7 2 | 38 38 6 |
| 8 3 2 | 4 5 6 | 9 7 1 |
|-------------------+-------------------+-------------------|
| 9 4 36 | 1 23 8 | 5 236 7 |
| 356 7 1 | 26 9 45 | 36 2346 8 |
| 356 2 8 | 67 34 457 | 1 346 9 |
|-------------------+-------------------+-------------------|
| 236 18 36 | 5 12 9 | 7 68 4 |
| 26 18 5 | 27 124 47 | 68 9 3 |
| 4 9 7 | 8 6 3 | 2 1 5 |
*-----------------------------------------------------------*
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Dan (arkietech): You forgot to include [r8c1] in your XY-Chain -- what fun you must have had running it down! |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Sat Nov 22, 2008 11:24 pm Post subject: |
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Yes, this was a fun puzzle that had lots of wings. I initially solved it using only xy-wings most including the digit <2>, but I then worked it out using other techniques.
Ted |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Nov 22, 2008 11:57 pm Post subject: |
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daj95376 wrote: | [Dan (arkietech): You forgot to include [r8c1] in your XY-Chain -- what fun you must have had running it down! |
Oops! Thanks I fixed it in the original post. |
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