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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Wed Dec 08, 2010 6:15 pm Post subject: Krampus Edition - "?" #2 |
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Code: | *-----------*
|..7|361|...|
|..2|8..|..1|
|6.5|...|...|
|---+---+---|
|.8.|.25|...|
|.7.|...|.2.|
|...|73.|.9.|
|---+---+---|
|...|...|5.4|
|3..|..7|2..|
|...|298|6..|
*-----------* |
Code: | 007361000002800001605000000080025000070000020000730090000000504300007200000298600 |
(c) Helmut Saueregger |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Thu Dec 09, 2010 8:19 am Post subject: |
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Code: | +----------------------+--------------+----------------+
| 8 49 7 | 3 6 1 | 49 5 2 |
| -9(4) 3 2 | 8 5 9(4) | 7 6 1 |
| 6 1 5 | 49 7 2 | 3489 34 38 |
+----------------------+--------------+----------------+
| 14(9) 8 14(369) | 149 2 5 | 134 347 367 |
| 145(9) 7 14(369) | 149 8 469 | 134 2 356 |
| 1245 245 14(6) | 7 3 (46) | 148 9 568 |
+----------------------+--------------+----------------+
| 279 29 89 | 6 1 3 | 5 78 4 |
| 3 6 18 | 5 4 7 | 2 18 9 |
| 1457 45 14 | 2 9 8 | 6 137 37 |
+----------------------+--------------+----------------+ |
one step
(9)R45C1 = (39-6)R45C3 = (6)R6C3 - (6=4)R6C6 - (4)R2C6 = (4)R2C1; R2C1 <> 9 |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Thu Dec 09, 2010 4:11 pm Post subject: |
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One step AIC: (3=7)r9c9-r9c1=(7-2)r7c1=(2-9)r7c2=r1c2-(9=4)r1c7-(4=3)r3c8; r3c9,r9c8<>3
Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Thu Dec 09, 2010 9:31 pm Post subject: |
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There are several reasonable ways to crack this puzzle in one step. I decided to take the unreasonable approach. First, I tried my best to find a DP containing <49+?>, but I failed. Then, I happened to examine just <9>.
Code: | Kraken Skyscraper r24c1 on <9> => r5c6<>9
now comes the Kraken network
( r4c3=9 r5c3=3 ) r6c3=6 r6c6=4 r2c6=9 => r5c6<>9
+-----------------------------------------------------------------------+
| 8 49 7 | 3 6 1 | 49 5 2 |
| *49 3 2 | 8 5 *49 | 7 6 1 |
| 6 1 5 | 49 7 2 | 3489 34 38 |
|-----------------------+-----------------------+-----------------------|
| *149 8 #13469 | *149 2 5 | 134 347 367 |
| 1459 7 13469 | 149 8 46-9 | 134 2 356 |
| 1245 245 146 | 7 3 46 | 148 9 568 |
|-----------------------+-----------------------+-----------------------|
| 279 29 89 | 6 1 3 | 5 78 4 |
| 3 6 18 | 5 4 7 | 2 18 9 |
| 1457 45 14 | 2 9 8 | 6 137 37 |
+-----------------------------------------------------------------------+
# 66 eliminations remain
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Regards, Danny
An alternate perspective based on a forcing chain:
Code: |
(6)r6c3 - (6=4)r6c6 - (4=9)r2c6 => r5c6<>9
(6)r6c3 = hp(36-149)r45c3 = (9)r45c1 - r2c1 = ( 9)r2c6 => r5c6<>9
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Last edited by daj95376 on Thu Dec 09, 2010 9:49 pm; edited 1 time in total |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Thu Dec 09, 2010 9:37 pm Post subject: |
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Danny, yep - unreasonable!
But I think a Kraken move starting with an almost-turbot move or a broken wing is an underused play - and no more unreasonable than starting with a DP IMHO. |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Thu Dec 09, 2010 9:51 pm Post subject: |
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Peter, in case you missed my alterate perspective ... look up ^^^^^.
It's even more unrealistic than my Kraken Skyscraper. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Fri Dec 10, 2010 2:37 am Post subject: |
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daj95376 wrote: | There are several reasonable ways to crack this puzzle in one step. I decided to take the unreasonable approach. First, I tried my best to find a DP containing <49>, but I failed. Then, I happened to examine just <9>.
Code: | Kraken Skyscraper r24c1 on <9> => r5c6<9> r5c6<9> r5c6<9> r5c6<>9
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Danny,
I love your Kraken skyscraper
I don't really care what they are called: almost, finned, Kraken etc... but working with variations on standard patterns is one of my greatest pleasures in playing sudoku. In this case you found a chain that was not obvious but it did the job in short order. Great and rewarding!
Ted |
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