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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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 Posted: Tue May 11, 2010 10:55 am Post subject: On your bike! |
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On your bike!
| Code: | +-------+-------+-------+
| 7 . 6 | . 1 . | . . . |
| . . 3 | 6 . 2 | . . . |
| 1 . . | . 3 . | . 9 . |
+-------+-------+-------+
| . . . | . . 1 | . . 7 |
| 9 . 2 | . 7 . | 8 . 3 |
| 4 . . | 2 . . | . . . |
+-------+-------+-------+
| . 4 . | . 5 . | . . 9 |
| . . . | 8 . 3 | 7 . . |
| . . . | . 2 . | 6 . 8 |
+-------+-------+-------+
5th May Astraware Diabolical |
A solution
| Quote: | xy-cycle (7=5)r3c4-(5=2)r3c7-(2=1)r7c7-(1=7)r7c4-r3c4; r3c26<>5, r4c7<>2, r7c38<>1
You can extend this cycle with the strong link (2)r1c9=r8c9 to make more eliminations but not fewer steps.
xy-wing(258) r3c2; r2c79<>5 |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Tue May 11, 2010 12:00 pm Post subject: |
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Lovely bit of cycling Peter but I am still hunting ANPs
| Quote: | OK ANP time perhaps?
There is an ANP 46+9 at r5c5 and r8c5 which shows r8c5<>9
If ANP is false then r8c5 <> 9 and puzzle solved
If ANP true then there is a chain which collapses the 49 naked pair and tells us:
(49-6)r8c5=(6)r7c6-(6=45)r5c46-(4=9)r4c5-(9)r8c5 so r8c5<> 9 and puzzle is solved |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue May 11, 2010 12:23 pm Post subject: |
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Peter, I duplicated your two steps.
Ted |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue May 11, 2010 12:34 pm Post subject: |
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| Mogulmeister wrote: | Lovely bit of cycling Peter but I am still hunting ANPs
| Quote: | OK ANP time perhaps?
There is an ANP 46+9 at r5c5 and r8c5 which shows r8c5<>9
If ANP is false then r8c5 <> 9 and puzzle solved
If ANP true then there is a chain which collapses the 49 naked pair and tells us:
(49-6)r8c5=(6)r7c6-(6=45)r5c46-(4=9)r4c5-(9)r8c5 so r8c5<> 9 and puzzle is solved |
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Wonderful ANP. Nice to have another on this forum that enjoys using them. I find lots of potential patterns, and enjoy checking them out.
Ted |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue May 11, 2010 1:29 pm Post subject: |
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| Mogulmeister wrote: | hunting ANPs
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You bagged a nice one.  |
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ronk
Joined: 07 May 2006
Posts: 398
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| Posted: Tue May 11, 2010 1:45 pm Post subject: |
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| tlanglet wrote: | | Mogulmeister wrote: | There is an ANP 46+9 at r5c5 and r8c5 which shows r8c5<>9
If ANP is false then r8c5 <> 9 and puzzle solved
If ANP true then there is a chain which collapses the 49 naked pair and tells us:
(49-6)r8c5=(6)r7c6-(6=45)r5c46-(4=9)r4c5-(9)r8c5 so r8c5<> 9 and puzzle is solved |
Wonderful ANP. Nice to have another on this forum that enjoys using them. I find lots of potential patterns, and enjoy checking them out. |
An ANP is apparently an ALS limited to two cells. For an "ANP deduction", can the ALS appear anywhere in the chain, or must it be at one end?
Since this elimination is in one of the "ANP" cells (r8c5), is this really even an ANP deduction?
[edit: 'ANP' was typo 'AHP' - 4 places]
Last edited by ronk on Tue May 11, 2010 3:49 pm; edited 1 time in total |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Tue May 11, 2010 3:37 pm Post subject: |
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Are we talking "Hidden" or "Naked" ?
We've been using "Almost Naked" because the pairs are naked except for the extra candidate.
What I am wrestling with is how they can be called "almost" hidden. Surely a pair is either hidden or it isn't ? |
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ronk
Joined: 07 May 2006
Posts: 398
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| Posted: Tue May 11, 2010 3:45 pm Post subject: |
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| Mogulmeister wrote: | | Are we talking "Hidden" or "Naked" ? |
Sorry, I should have written ANP rather than AHP. (earlier post corrected) |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Tue May 11, 2010 4:41 pm Post subject: |
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| ronk wrote: | | An ANP is apparently an ALS limited to two cells. |
Not necessarily an ALS. |
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ronk
Joined: 07 May 2006
Posts: 398
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| Posted: Tue May 11, 2010 5:25 pm Post subject: |
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That looks like AALS to me and then, to be consistent, that would make it an AANP, wouldn't it? 
Seriously, I'd call your deduction an "almost ALS xy-wing." |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue May 11, 2010 5:39 pm Post subject: |
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I think the folks with the white jacket just arrived in response to the call by my wife when she heard me screaming about hierarchical "almosts", embedded "almosts", almost "Almosts" .........
However, I convinced her that scotch was a better solution to my state of mind.
Bottoms Up!!!
Ted |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue May 11, 2010 5:58 pm Post subject: |
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If a naked pair is a "Locked Set" wouldn't an Almost Naked Pair be an Almost Locked Set (ALS)? This stuff is getting scary  |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Tue May 11, 2010 7:10 pm Post subject: |
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| Ronk wrote: | | I'd call your deduction an "almost ALS xy-wing. |
Lets call it a "bifurcated mogul field" and have done with it! 
Cheers Ted - I too am off for a pint.
Ronk - it is always a privilege to have a visit from Sudoku Royalty!
Danny - there needs to be a move called a "daj" verb/noun.
Suggested meanings on a postcard please! |
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