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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Fri Apr 16, 2010 7:50 am Post subject: Puzzle 10/04/16 (B) |
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Code: | +-----------------------+
| . 3 . | 6 . 4 | . . 5 |
| 4 9 . | . . 2 | . . 6 |
| . . 7 | 9 . . | . . . |
|-------+-------+-------|
| 3 . 2 | 4 . 8 | . . 9 |
| . . . | . . . | . . 8 |
| 8 7 . | 1 . 9 | 6 . 2 |
|-------+-------+-------|
| . . . | . . 6 | 8 . 4 |
| . . . | . . . | . . . |
| 6 8 . | 2 4 7 | 9 . 1 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site
Hint wrote: | XYZ-Wing possible.
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Fri Apr 16, 2010 2:57 pm Post subject: |
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An "almost BBDBer".
Quote: | Flightless xy-wing1-25 with vertex in r8c1 plus transport: (2)r7c2 - r7c8 = (2)r8c7; r1c7<>2,
Kraken xyz-wing235 with vertex in r7c8
(2)r7c8 - (2=5)r7c2 - r9c3 = (5)r9c8; r8c7<>5,
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(3)r7c8 - (3=5)r9c8; r8c7<>5,
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(5)r7c8; r8c7<>5.
type 1 UR17 in r12c57; r2c5<>17,
x-wing3 in r58c67; r8c3<>3,
coloring on 5. |
Ted |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Apr 17, 2010 9:07 pm Post subject: |
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I used seven steps, all of them assorted wings except the last step, a Type 1 UR. |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sat Apr 17, 2010 9:40 pm Post subject: |
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I took Dannys hint ... three steps with a decisive xy-chain
Quote: | x-wing(3)
xyz-wing(135); r7c34<>5
xy-chain: (5=4)r6c3-(4=3)r6c8-(3=2)r7c8-(2=5)r7c2; r45c2,r8c3<>5 |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sun Apr 18, 2010 4:39 am Post subject: |
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Well this is one of the weirdest things I have come across since I have been doing this game and has taken a little time and is, I will admit, UGLY:
I was looking at various chains to see if there was a shorter solve path or a Dan style 1 step and I couldn't really find one quckly. So, I used as my starting point the number 2 as there are strong links everywhere for this number.
I looked at the strong link between 2s at r7c8 and r2c8.
1)If r7c8 is not 2 then r3c8 is 2
2)If r7c8 is 2 then r3c8 is {1,4,8}.
So I looked at what happens in each of these remaining cases:
Set to (248=1)r3c8-(1=5)r3c6-r3c1=r8c1-(5=2)r7c2-r7c8=(2)r3c8
Set to (128=4)r3c8-r3c7=r5c7-(4=15)r45c2-(5=2)r7c2-r7c8=(2)r3c8
Set to (124=8)r3c8-(8=15)r3c6-(5)r3c1=r8c1-(5=2)r7c2-r7c8=(2)r3c8
So perhaps I am going mad but r3c8 is 2 whatever you do and if so that solves the puzzle!
Last edited by Mogulmeister on Sun Apr 18, 2010 2:07 pm; edited 1 time in total |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Sun Apr 18, 2010 7:05 am Post subject: |
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Mogulmeister,
I plugged it all into xsudo and it works.
basically, you shown that with each candidate in r3c8 set to true, the 2 is true in r3c8 all four times.
or, you can view it as proving that the 1,4,8 don't belong in that cell.
Last edited by storm_norm on Sun Apr 18, 2010 7:19 am; edited 2 times in total |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sun Apr 18, 2010 7:09 am Post subject: |
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Thanks Norm - I can now get out of this "special" waistcoat. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sun Apr 18, 2010 11:33 am Post subject: |
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Danny,
Have you encountered this kind of thing before ? |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Sun Apr 18, 2010 2:23 pm Post subject: |
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Mogulmeister, your move is fantastic
Finding "non-standard/unique" steps is a special pleasure of playing Sudoku.
Great move..............
Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Apr 18, 2010 3:40 pm Post subject: |
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Mogulmeister wrote: | Danny,
Have you encountered this kind of thing before ? |
Mogulmeister,
Yes, I've seen this previously. If the Players' Forums was up, I'd point you to a thread on forcing chains by Jeff. You have an example of a network with four streams (from one cell) and a common assignment in each stream.
Code: | stream #1) r3c8=2 r3c8=2
stream #2) r3c8=1 ... r7c2=2 r7c8<>2 r3c8=2
stream #3) r3c8=4 ... r7c2=2 r7c8<>2 r3c8=2
stream #4) r3c8=8 ... r7c2=2 r7c8<>2 r3c8=2
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It can be turned into a common elimination by shortening your streams.
Code: | stream #1) r3c8=2 r7c8<>2
stream #2) r3c8=1 ... r7c2=2 r7c8<>2
stream #3) r3c8=4 ... r7c2=2 r7c8<>2
stream #4) r3c8=8 ... r7c2=2 r7c8<>2
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Regards, Danny |
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