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Vanhegan Extreme May 10

 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Tue May 11, 2010 1:13 pm    Post subject: Vanhegan Extreme May 10 Reply with quote
Code:

+-------+-------+-------+
| . . 5 | 9 . . | 8 3 . |
| . . . | . . 1 | . . 2 |
| 9 4 . | . . . | . . . |
+-------+-------+-------+
| 8 . . | . 3 . | 6 7 . |
| . . 3 | . . . | 9 . . |
| . 7 2 | . 9 . | . . 8 |
+-------+-------+-------+
| . . . | . . . | . 6 3 |
| 4 . . | 6 . . | . . . |
| . 6 9 | . . 5 | 4 . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site


For fun, I tried to complete this puzzle using only ANPs but was not completely successful since I used a different step to complete the puzzle. My steps were:

ANP(38=2)r8c6|r9c4 - (2=38)r3c46 - (8=7)r3c3 - (7=3)r2c1 - r9c1 = (3)r9c4; r9c4<>2

Then, another deletion using the same ANP:
ANP(38=2)r8c6|r9c4 - (2=3)r9c1 - (3=7)r2c1 - (7=8)r3c3 - r3c6 = (8)r8c6; r7c45|r89c5<>8

ANP(23=5)r8c2|r9c1 - r8c78 = r7c7 - (5=7)r2c7 - (7=3)r2c1 - (3=2)r9c1; r7c12<>2

Flightless xy-wing -378 with vertex 78 in r3c3 plus transport: (3)r3c6 - r8c6 = (3)r9c4; r9c1<>3

Ted

Last edited by tlanglet on Tue May 11, 2010 3:23 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue May 11, 2010 2:04 pm    Post subject: Reply with quote
Looking at the 38s and attendant strong links made me test a few AIC things and:

(3)r8c2c=(3-8)r2c2=r3c3-(8=3)r3c6-r8c6=(3)r8c2

r8c2 = 3.

However I suspect the skyscraper on 3s is easier to spot (if less fun) ! Smile

Last edited by Mogulmeister on Tue May 11, 2010 2:36 pm; edited 2 times in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue May 11, 2010 2:32 pm    Post subject: Reply with quote
Ted wrote:
ANP(38=2)r8c6|r9c4 - (2=38)r3c46 - (8=7)r3c3 - (7=3)r2c1 - r9c1 = (3)r9c4; r9c2<>2

Didn't you mean r9c4 <> 2 ? Its a nice ANP that "collapses" itself.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue May 11, 2010 3:09 pm    Post subject: Reply with quote
Am I right in assuming you didn't allow "basics/clean-up" after your first ANP ? If you had, the 2nd one wasn't needed. The 3rd was very nice and instead of the final "non-ANP step", what about.........(tongue in cheek)

ANP(15=8)r38c8-(8=3)r8c6-(3=8)r3c6-(8=7)r3c3-(7=3)r2c1-(3=2)r9c1-(2=1)r9c5-(1=8)r9c8 !!!

So if ANP true or false r9c8 = 8 and puzzle solved and your original goal achieved. Wonderful workout. Smile

Laughing
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Tue May 11, 2010 3:25 pm    Post subject: Reply with quote
Mogulmeister wrote:
Ted wrote:
ANP(38=2)r8c6|r9c4 - (2=38)r3c46 - (8=7)r3c3 - (7=3)r2c1 - r9c1 = (3)r9c4; r9c2<>2

Didn't you mean r9c4 <> 2 ? Its a nice ANP that "collapses" itself.


MM, thanks for the flag. I have edited my post.

Ted
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Tue May 11, 2010 3:36 pm    Post subject: Reply with quote
Mogulmeister wrote:
Am I right in assuming you didn't allow "basics/clean-up" after your first ANP ? If you had, the 2nd one wasn't needed. The 3rd was very nice and instead of the final "non-ANP step", what about.........(tongue in cheek)

ANP(15=8)r38c8-(8=3)r8c6-(3=8)r3c6-(8=7)r3c3-(7=3)r2c1-(3=2)r9c1-(2=1)r9c5-(1=8)r9c8 !!!

So if ANP true or false r9c8 = 8 and puzzle solved and your original goal achieved. Wonderful workout. Smile

Laughing


MM,

Yes, I skipped cleanup after the first ANP because I thought that essentially the same path would give me additional deletions (and it did), and I never even "saw" the (38 ) pair in box 8.

You additional ANP is beautiful:!: I played with that posibility, but never spotted your path.

Thanks for all the feedback.

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue May 11, 2010 3:40 pm    Post subject: Reply with quote
I share your interest in these constructs - I am amazed at how varied their deployment is.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Tue May 11, 2010 5:12 pm    Post subject: Reply with quote
w-wing 38 in b12 is all you need on this one. ANP could stand for "a nice puzzle" along with "almost naked pair" Very Happy
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Tue May 11, 2010 5:23 pm    Post subject: Reply with quote
arkietech wrote:
w-wing 38 in b12 is all you need on this one. ANP could stand for "a nice puzzle" along with "almost naked pair" Very Happy


I did not play the Vanhegan puzzles very ofter when Danny was posting. However in the past it was not usual for an Extreme to break with one VH+ move.

Good find.

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue May 11, 2010 7:21 pm    Post subject: Reply with quote
What was nice about this was the discipline of trying to do it using only one technique. A sort of ANP boot camp!
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
PostPosted: Tue May 11, 2010 7:47 pm    Post subject: Reply with quote
Why not just call any bi-value cell an "Almost Naked Single" and have even more fun ?

I am sure even the "easy" puzzles could be solved with that innovative technique Wink
----

Maybe someone can even spot the elusive Finned Almost Remote Triple (I have to say that so far it's not been of much use but provides a great acronym Twisted Evil ) ...
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
PostPosted: Tue May 11, 2010 8:07 pm    Post subject: Reply with quote
shame on me, I've been too narrow in my thinking.
Of course, ALL unsolved cells can be viewed as "Almost Singles", not only the bi-value ones!

Oh, all those unlimited possibilities in doing a whole puzzle using only ASCs (Almost Solved Cells) Smile
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Wed May 12, 2010 3:38 am    Post subject: Reply with quote
......or a BFS.....(Beaujolais Fuelled Solver) Laughing
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