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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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 Posted: Tue Apr 08, 2008 4:23 pm Post subject: VH from Austria |
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Sometimes, when this site is dry (not in the "other" category, of course) there is a puzzle from an unexpected source. From the newspaper:
| Code: |
+-----------+-----------+-----------+
| 6 . . | . 2 . | 3 . . |
| . . . | . . 6 | . . 4 |
| . . 9 | 5 4 . | 2 . . |
+-----------+-----------+-----------+
| . . 4 | . 8 9 | . 2 . |
| 9 . 3 | 1 . . | . . . |
| . 7 . | 3 . . | . . . |
+-----------+-----------+-----------+
| 3 . 8 | . . . | 5 . 1 |
| . . . | 6 . . | . . . |
| . 1 . | . . . | 9 . . |
+-----------+-----------+-----------+
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play online at dailysudoku.com
Needs an xy-wing, and then?
I solved it using two "26" cells as pincers. I guess that was a generalized w-wing then (or maybe one of these remote naked pairs?)
Last edited by nataraj on Fri Apr 11, 2008 2:58 pm; edited 1 time in total |
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Tue Apr 08, 2008 6:04 pm Post subject: |
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| After basics there is a 6-cell xy-chain {42-26-62-24-47-74} with pincer ends at R7C4 and R8C7 that kills the <4> in R7C8 and solves the puzzle. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Apr 08, 2008 8:23 pm Post subject: |
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| whoa... how about an xy-wing, and 3 xy-chains?? I guess I did it the long way. |
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Victor
Joined: 29 Sep 2005
Posts: 207
Location: NI
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| Posted: Tue Apr 08, 2008 10:08 pm Post subject: |
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I seem to have met several XY-loops recently. There's one here, *d: you get 3 eliminations for the price of one.
| Code: |
+-----------+----------+-------------+
| 6 4 5 | 8 2 1 | 3 79 79 |
| 2 3 1 | 9 7 6 | 8 5 4 |
| 7 8 9 | 5 4 3 | 2 1 6 |
+-----------+----------+-------------+
| 1 5 4 | 7 8 9 | 6 2 3 |
| 9 26 3 | 1 56 24 | 47 478 578 |
| 8 7 26 | 3 56 24 | 1 49 59 |
+-----------+----------+-------------+
| 3 26* 8 | 24 9 7 | 5 46* 1 |
| 45 9 27* | 6 1 58 | 47* 3 2-78|
| 45 1 67-2| 24 3 58 | 9 678-4 278 |
+-----------+----------+-------------+
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But it's not as efficient as Johan's - probably same number of moves in total as Norm's.
PS 1. Can't make sense of the statement about 26s - can you explain please?
PS 2. Nice 'peaceful' puzzle: thanks. I'll post one in return. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Apr 09, 2008 5:16 am Post subject: |
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| Victor wrote: |
PS 1. Can't make sense of the statement about 26s - can you explain please?
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This is the position after basics:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 6 4 5 | 8 2 1 | 3 79 79 |
| 2 3 1 | 9 7 6 | 8 5 4 |
| 7 8 9 | 5 4 3 | 2 1 6 |
+--------------------------+--------------------------+--------------------------+
| 1 5 4 | 7 8 9 | 6 2 3 |
| 9 26 3 | 1 56 24 | 47 478 578 |
| 8 7 26 | 3 56 24 | 1 49 59 |
+--------------------------+--------------------------+--------------------------+
| 3 26 8 | 24 9 7 | 5 46 1 |
| 45 9 27 | 6 1 58 | 47 3 278 |
| 45 1 267 | 24 3 58 | 9 4678 278 |
+--------------------------+--------------------------+--------------------------+
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The xy-wing I mentioned (27-49-79 in box 6 / col 8.) is not essential for the solution, but ...
{2,6} in cell r6c3 and r7c2, connected via -65-59-94-46- remove 2 from r5c2 and r89c3. |
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ravel
Joined: 21 Apr 2006
Posts: 536
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| Posted: Wed Apr 09, 2008 10:43 am Post subject: |
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| Code: | *---------------------------------------------*
| 6 4 5 | 8 2 1 | 3 79 79 |
| 2 3 1 | 9 7 6 | 8 5 4 |
| 7 8 9 | 5 4 3 | 2 1 6 |
|--------------+-------------+----------------|
| 1 5 4 | 7 8 9 | 6 2 3 |
| 9 @26 3 | 1 56 #24 |*47 *48 578 |
| 8 7 26 | 3 56 24 | 1 &49 59 |
|--------------+-------------+----------------|
| 3 @26 8 |#24 9 7 | 5 -46 1 |
| 45 9 27 | 6 1 58 | 47 3 278 |
| 45 1 267 | 24 3 58 | 9 4678 278 |
*---------------------------------------------*
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w-wing 24 with strong link for 2 in c2, one of r5c6 and r7c4 must be 4.
Transport r5c6=4 to r6c8=4 => r7c8<>4 |
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sheryl
Joined: 24 Sep 2007
Posts: 64
Location: New York
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| Posted: Wed Apr 09, 2008 1:10 pm Post subject: |
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| i don't know. Mine worked with a few kites, a sky scraper and dot grids?? |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Apr 09, 2008 7:04 pm Post subject: |
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| sheryl wrote: | | i don't know. Mine worked with a few kites, a sky scraper and dot grids?? |
I suspect you must have been lucky somewhere. There are no useable kites or skyscrapers in the grid after basics. Not as far as I can see, at least.
Mabe if you could point out one of your eliminations, we might be able to verify. |
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