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March 31 VH
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Wed Mar 31, 2010 2:19 am    Post subject: March 31 VH Reply with quote

The old reliable does it again.

Solution: 126 xy-wing

Early Earl
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed Mar 31, 2010 3:29 am    Post subject: Reply with quote

Here is a one step solution that is not the "old reliable"; a hidden pair.

hp56[(56)r79c1 = (2)r7c1]r79c1 - r7c89 = r8c7 - (2=6)r2c7 - r2c6 = r3c6; r3c1<>6.

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Wed Mar 31, 2010 4:47 am    Post subject: Reply with quote

tlanglet wrote:
Here is a one step solution that is not the "old reliable"; a hidden pair.

hp56[(56)r79c1 = (2)r7c1]r79c1 - r7c89 = r8c7 - (2=6)r2c7 - r2c6 = r3c6; r3c1<>6.

Ted

If you're saying that a hidden pair is a one-stepper, then I think you're saying it required no more than basics, which is what I found.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Wed Mar 31, 2010 6:03 am    Post subject: Reply with quote

A little more than basics is needed.

After basics:
Code:


+--------------------------+--------------------------+--------------------------+
| 4       3       16       | 9       7       2        | 8       15      56       |
| 7       5       126      | 3       8       16       | 26      4       9        |
| 26      8       9        | 15      4       156      | 7       12      3        |
+--------------------------+--------------------------+--------------------------+
| 89      1       4        | 58      2       3        | 59      6       7        |
| 3       2       5        | 67      69      79       | 1       8       4        |
| 89      6       7        | 4       1       58       | 3       259     25       |
+--------------------------+--------------------------+--------------------------+
| 256     7       3        | 18      69      18       | 4       259     256      |
| 1       4       26       | 67      5       79       | 269     3       8        |
| 56      9       8        | 2       3       4        | 56      7       1        |
+--------------------------+--------------------------+--------------------------+


Starting from top left, the first cell that I looked at (r1c2) directly led to the solution: xy-wing. Going to get the second coffee now.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Wed Mar 31, 2010 9:05 am    Post subject: Reply with quote

I saw the xy-wing but searched longer and quickly found a nice 5-link xy-chain which is also a one-stepper...

Quote:

(1=6)r1c3-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=1)r2c6; r1c3<>1


Seeing it has remote pairs on the end is this a special case of a W-wing?
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Wed Mar 31, 2010 1:12 pm    Post subject: Reply with quote

peterj wrote:
I saw the xy-wing but searched longer and quickly found a nice 5-link xy-chain which is also a one-stepper...


Laughing Laughing I was not aware that there was a contest for the LONGEST chain ... Wink

But while I'm at it, might as well enter this beauty - it has 10 links (and of course it also solves the puzzle ...)

(6)r2c7-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6)r2c7; r2c7<>6

beautiful, just beautiful ...

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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Mar 31, 2010 3:46 pm    Post subject: Reply with quote

I like the way your chain "eats" part of itself! Smile
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania

PostPosted: Wed Mar 31, 2010 3:49 pm    Post subject: Reply with quote

W-Wing 26 in r23c17 with a strong link 6 in row 9 eliminaing 2 in r3c8 solves the puzzle.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Wed Mar 31, 2010 4:42 pm    Post subject: Reply with quote

Mogulmeister wrote:
I like the way your chain "eats" part of itself! Smile


yea, me too ...
At first I went like "Hey, is this possible? A chain that removes part of the chain itself?" but it is a valid chain alright. Weird, though.

Reminds me of those monstrous lobster-like beasts ("Dum-a chum", "dod-a-chock") with huge claws in the first chapter of Stephen King's "Drawing of the Three". Click-click, pincers waving, snap, eat, snap ... oops it's eaten itself Smile

xy-wings never do that ... how boring Wink
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Mar 31, 2010 5:04 pm    Post subject: Reply with quote

You're in the home of psychiatry there...I was just wondering if your chain could stand in for a Rorschach ink blot test.

Is it a crab ? A gun ? A dancer (landscape view) ?

Either way, style points for sure.

(My apologies to all who feel these observations are just too flippant)
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Wed Mar 31, 2010 7:59 pm    Post subject: Reply with quote

If there's such a thing as "chain envy", I've got it...
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Wed Mar 31, 2010 8:11 pm    Post subject: Reply with quote

Psychology, Vienna, Freud, Rohrschach test, chain envy ...

peterj and Mogulmeister, say no more ...

Laughing I never imagined what depths of interpretation could lurk in a simple daily "very hard" .


oops Embarassed did it again ... ok what I meant to say is "in a very difficult"
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Mar 31, 2010 10:11 pm    Post subject: Reply with quote

nataraj wrote:
Laughing Laughing I was not aware that there was a contest for the LONGEST chain ... Wink

But while I'm at it, might as well enter this beauty - it has 10 links (and of course it also solves the puzzle ...)

(6)r2c7-(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6)r2c7; r2c7<>6

Alternately a lasso: 14 bivalue cells (core from nataraj + extension)

(6=5)r1c9-(5=1)r1c8-(1=2)r3c8-(2=6)r2c7-(6=5)r9c7-(5=9)r4c7-(9=8)r4c1-(8=5)r4c4-(5=1)r3c4-(1=6)r2c6-(6=2)r2c7-(2=1)r3c8-(1=5)r1c8-(5=6)r1c9; => r1c9=6
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Apr 01, 2010 6:34 am    Post subject: Reply with quote

ja, aber wo ist das Diagramm?

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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Thu Apr 01, 2010 6:10 pm    Post subject: Reply with quote

looking for a diagram ?

like this one, maybe ? Twisted Evil



...

Aaaahhh ... a LASSO diagram ...

sorry. we don't carry these here Smile
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Apr 01, 2010 8:01 pm    Post subject: Reply with quote

nataraj wrote:
Psychology, Vienna, Freud, Rohrschach test, chain envy ...

peterj and Mogulmeister, say no more ...

Laughing I never imagined what depths of interpretation could lurk in a simple daily "very hard" .


oops Embarassed did it again ... ok what I meant to say is "in a very difficult"

Or, as Freud is reputed to have said, "Sometimes a cigar is only a cigar".

Keith
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Thu Apr 01, 2010 8:29 pm    Post subject: Reply with quote

keith wrote:

Or, as Freud is reputed to have said, "Sometimes a cigar is only a cigar".

Keith


Thanks, Keith. That's reassuring. If even old Siegmund said a thing like that, we can safely go on discussing our sudoku techniques.

Honi soit qui mal y pense.
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Wendy W



Joined: 04 Feb 2008
Posts: 144

PostPosted: Fri Apr 02, 2010 12:21 am    Post subject: Reply with quote

I don't know what it was about this puzzle, but I started it literally five times and kept messing up. *Finally* got it with two X-wings (2 and 7) and an XY-wing (126) but it was a bear.
I should add that I live on a one-lane gravel road.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Apr 02, 2010 2:19 am    Post subject: Reply with quote

nataraj,

Thank you. This kind of exchange puts a smile on my face for days.

Given my passion and preoccupation, I think my wife may not agree:
Quote:
"Sometimes, a Sudoku is only a Sudoku."

Best wishes,

Keith


Last edited by keith on Fri Apr 02, 2010 4:08 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Apr 02, 2010 3:53 pm    Post subject: Reply with quote

Only a cigar/sudoku ?

Remember that cigars finally did for Freud.

Has anyone died of a sudoku related illness yet ?
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