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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Sat May 02, 2009 2:33 pm Post subject: Puzzle NR_006 |
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| Code: | +-----------------------+
| 2 . . | 8 . 3 | 5 . . |
| . . 8 | . 1 2 | . . 7 |
| . 4 3 | . . . | 8 . . |
|-------+-------+-------|
| 6 . . | 2 . . | 1 5 . |
| . 2 . | . . . | . . . |
| 8 1 . | . . 4 | . 2 . |
|-------+-------+-------|
| 5 . 2 | 1 . . | 3 . . |
| . . . | 3 . 7 | . . . |
| . 7 . | . . . | . . 5 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sat May 02, 2009 3:26 pm Post subject: |
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After playing with several dead ends I wound up with: | Quote: | skyscraper 8
w-wing 89 by 8
x-wing 4
skyscraper 6 |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun May 03, 2009 5:29 am Post subject: |
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Dan,
you would think we were working on different puzzles because my path doesn't resemble yours at all.
| Code: | .---------------------.---------------------.---------------------.
| 2 6 17 | 8 479 3 | 5 149 149 |
| 9 5 8 | 46 1 2 | 46 3 7 |
| 17 4 3 | 679 679 5 | 8 169 2 |
:---------------------+---------------------+---------------------:
| 6 3 479 | 2 789 89 | 1 5 489 |
| 47 2 4579 | 5679 36789 1 | 4679 4689 34689 |
| 8 1 579 | 5679 3679 4 | 679 2 369 |
:---------------------+---------------------+---------------------:
| 5 89 2 | 1 489 689 | 3 7 4689 |
| 14 89 146 | 3 5 7 | 2 14689 14689 |
| 3 7 146 | 49 2 689 | 469 14689 5 |
'---------------------'---------------------'---------------------' |
ER 1 removes 1 from r3c8
then there is a xyz-wing {4,8,9} in box 8 removes 9 from r7c6
both are present above.
leads too this UR deduction on {3,6} r56c59
the x-wing overlay on 3's helps create a strong inference on the 6 in r3c5
and the group of 6's in r78c9...
| Code: | .---------------------.---------------------.---------------------.
| 2 6 7 | 8 49 3 | 5 149 149 |
| 9 5 8 | 46 1 2 |E46 3 7 |
| 1 4 3 | 7 C69 5 | 8 D69 2 |
:---------------------+---------------------+---------------------:
| 6 3 49 | 2 7 89 | 1 5 48 |
| 7 2 45 | 56 X368 1 | 9 468 X3468 |
| 8 1 59 | 569 X36 4 | 7 2 X36 |
:---------------------+---------------------+---------------------:
| 5 89 2 | 1 48 68 | 3 7 A4689 |
| 4 89 16 | 3 5 7 | 2 1689 B1689 |
| 3 7 16 | 49 2 689 |F4-6 14689 5 |
'---------------------'---------------------'---------------------' |
can make this chain
UR36[(6)AB = (6)C] - (6)D = (6)E; F is not 6 |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sun May 03, 2009 12:55 pm Post subject: |
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| storm_norm wrote: | you would think we were working on different puzzles because my path doesn't resemble yours at all.
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oops  I left off a beginning er 1 that you found. I found it on an early list before I got lost.
I like your approach better. You are good with ur's. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun May 03, 2009 3:28 pm Post subject: |
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| storm_norm wrote: | leads too this UR deduction on {3,6} r56c59
the x-wing overlay on 3's helps create a strong inference on the 6 in r3c5
and the group of 6's in r78c9...
| Code: | .---------------------.---------------------.---------------------.
| 2 6 7 | 8 49 3 | 5 149 149 |
| 9 5 8 | 46 1 2 |E46 3 7 |
| 1 4 3 | 7 C69 5 | 8 D69 2 |
:---------------------+---------------------+---------------------:
| 6 3 49 | 2 7 89 | 1 5 48 |
| 7 2 45 | 56 X368 1 | 9 468 X3468 |
| 8 1 59 | 569 X36 4 | 7 2 X36 |
:---------------------+---------------------+---------------------:
| 5 89 2 | 1 48 68 | 3 7 A4689 |
| 4 89 16 | 3 5 7 | 2 1689 B1689 |
| 3 7 16 | 49 2 689 |F4-6 14689 5 |
'---------------------'---------------------'---------------------' |
can make this chain
UR36[(6)AB = (6)C] - (6)D = (6)E; F is not 6 |
If you perform
<36> UR Type 4 [r56c59] => [r5c59]<>6
then you are left with
Skyscraper [r25c4] => [r3c8]<>6 |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun May 03, 2009 6:47 pm Post subject: |
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Danny,
nice! |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun May 03, 2009 7:09 pm Post subject: |
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| storm_norm wrote: | | Danny, nice! |
Thanks ... and ... just to be clear ... I like your impressive UR chain solutions, too! |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun May 03, 2009 8:48 pm Post subject: |
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| Quote: | | I like your approach better. You are good with ur's. |
and...
| Quote: | | I like your impressive UR chain solutions, too! |
thanx 
IMO, the UR deductions are interesting if they can at least match the destructive power of the more commonly known moves such as w-wings, m-wings, skyscrapers, etc... or even the more common UR moves.
and...
regarding the puzzle by Danny, "Set XY_02 Puzzle 103"
in that particular puzzle there is another three step solution involving a UR deduction which circumvents the moves already posted. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sun May 03, 2009 10:20 pm Post subject: |
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Norm, your overall insight and use of UR is something special. Danny, you also had a great move.
I started with a skyscraper on <1>, which had the identical result as the already posted ER1.
I then used a xy-wing 489 because my cleanup deleted the xyz-wing 489, but the result was the same again. Finally, I missed Danny's skyscraper on <6> and used a kite <6> which set up a Type 1 UR 36 that completed the puzzle.
I also found several longer paths; one had nine steps. Overall, a great puzzle.
Ted |
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