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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Fri Oct 30, 2009 11:00 pm Post subject: MM 1573 10-30-09 |
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003069000024805000900030006500010780000000000071090004400000001000706420000180900
| Code: |
+-------+-------+-------+
| . . 3 | . 6 9 | . . . |
| . 2 4 | 8 . 5 | . . . |
| 9 . . | . 3 . | . . 6 |
+-------+-------+-------+
| 5 . . | . 1 . | 7 8 . |
| . . . | . . . | . . . |
| . 7 1 | . 9 . | . . 4 |
+-------+-------+-------+
| 4 . . | . . . | . . 1 |
| . . . | 7 . 6 | 4 2 . |
| . . . | 1 8 . | 9 . . |
+-------+-------+-------+
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open in draw/play
open in andrew stuarts online solver |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sat Oct 31, 2009 2:22 am Post subject: |
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| Code: | *-----------------------------------------------------------*
|*78 1 3 | 24 6 9 | 25-8 457 257 |
| 6 2 4 | 8 7 5 | 1 9 3 |
| 9 5-8 57-8 | 24 3 1 |*28 47 6 |
|-------------------+-------------------+-------------------|
| 5 4 6 | 3 1 2 | 7 8 9 |
| 238 9 28 | 56 4 7 | 2356 1 25 |
|b23 7 1 | 56 9 8 |c23 56 4 |
|-------------------+-------------------+-------------------|
| 4 58 578 | 9 2 3 | 56 567 1 |
| 1 3 9 | 7 5 6 | 4 2 8 |
|a27 6 257 | 1 8 4 | 9 3 57 |
*-----------------------------------------------------------*
(8=7)r1c1-(7=2)r9c1-(2=3)r6c1-(3=2)r6c7-(2=8)r3c7
=> r1c7,r3c23<>8;
singles
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sat Oct 31, 2009 11:31 pm Post subject: |
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A fun puzzle 
I noticed the DP 56 marked @.
| Code: |
*-----------------------------------------------------------*
| 78 1 3 | 24 6 9 | 258 457 257 |
| 6 2 4 | 8 7 5 | 1 9 3 |
| 9 58 578 | 24 3 1 | 28 47 6 |
|-------------------+-------------------+-------------------|
| 5 4 6 | 3 1 2 | 7 8 9 |
| 238 9 28 | 56@ 4 7 | 2356@ 1 25 |
| 23 7 1 | 56@ 9 8 | 23 56@ 4 |
|-------------------+-------------------+-------------------|
| 4 58 578 | 9 2 3 | 56@ 567@ 1 |
| 1 3 9 | 7 5 6 | 4 2 8 |
| 27 6 257 | 1 8 4 | 9 3 57 | |
To prevent the deadly DP either r5c7=23 or r7c8=7 to form the following chain. Please excuse the notation because it is suspect.
(5=7)r9c9 - DP56[(7)r7c8 = (23)r5c7] = (23)r56c7 - (2=5)r5c9; r1c9<>5,
I then needed a useless xy-wing -578 with pincer transport plus a xy-wing 2-47 to complete the puzzle.
Ted |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sat Oct 31, 2009 11:53 pm Post subject: |
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ted,
that was nice.
I like those kind of eliminations. |
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Myth Jellies
Joined: 27 Jun 2006
Posts: 64
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| Posted: Mon Nov 02, 2009 7:27 am Post subject: |
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Actually, Ted, your deadly pattern is really like a type 6 UR. Note that the sixes are locked in the pattern. Thus if r6c8 was 5 then both of the deadly pattern avoidance cells would have to be 6 and the deadly pattern could not be avoided.
BUG(5&6#6)r5c47|r6c48|r7c78
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(2|3)r5c7 - (6)r5c7 = (6)r6c8
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(7)r7c8 - (6)r7c8 = (6)r6c8
or, if you prefer...
(6)r6c8 = (6-2|3)r5c7 =BUG= (7-6)r7c8 = (6)r6c8 => r6c8 <> 5 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Nov 02, 2009 3:08 pm Post subject: |
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It seems that sometimes the most obvious is the hardest to see. For me, this is a good example of having rushed to find a more complicated solution and not taking the time to fully evaluate the global nature of the code.
Thanks for the comments Myth.
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Mon Nov 02, 2009 4:22 pm Post subject: |
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Ted: Nice Solution!
Myth Jellies: Thanks for illustrating how a locked/cyclic pattern for a digit influences a DP!
A slight variance on Myth Jellies' explanation:
If I color the <6>-cycle using Blue/Green, then the <56+23>,<56+7> cells are colored Green.
Setting any Blue cell to <5> would then force the DP.
| Code: | +---------------------------------------------------------------+
| 78 1 3 | 24 6 9 | 258 457 257 |
| 6 2 4 | 8 7 5 | 1 9 3 |
| 9 58 578 | 24 3 1 | 28 47 6 |
|--------------------+--------------------+---------------------|
| 5 4 6 | 3 1 2 | 7 8 9 |
| 238 9 28 | @56B 4 7 | @56G+23 1 25 |
| 23 7 1 | @56G 9 8 | 23 @56B 4 |
|--------------------+--------------------+---------------------|
| 4 58 578 | 9 2 3 | @56B @56G+7 1 |
| 1 3 9 | 7 5 6 | 4 2 8 |
| 27 6 257 | 1 8 4 | 9 3 57 |
+---------------------------------------------------------------+
# 36 eliminations remain
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