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Puzzle 11/08/07: ~ Advanced

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Aug 07, 2011 5:18 pm    Post subject: Puzzle 11/08/07: ~ Advanced Reply with quote

Code:
 +-----------------------+
 | 9 . 1 | . . 6 | . . 7 |
 | . 3 . | . . 2 | . 6 . |
 | 2 . 6 | . . . | . 9 . |
 |-------+-------+-------|
 | . . . | . . . | . 1 . |
 | . . . | . . 5 | 9 4 6 |
 | 4 6 . | . 7 . | . 5 . |
 |-------+-------+-------|
 | . . . | . 6 . | 5 2 . |
 | . 4 5 | 3 2 9 | 6 . . |
 | 6 . . | . 4 . | . . . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Tue Aug 09, 2011 7:20 am    Post subject: Reply with quote

1. 3s: r6c6=r3c6-r3c9=r1c8-r9c8=r9c7 =>r6c7<>3
Code:
*-----------------------------------------------------------*
 | 9    *58    1     | 4    *58    6     | 2     3     7     |
 | 578   3     4     | 789  *58+9  2     | 1     6    *58    |
 | 2    *58+7  6     | 78    1     3     | 4     9    *58    |
 |-------------------+-------------------+-------------------|
 | 358   2589  389   | 6     389   4     | 7     1     23    |
 | 1     278   378   | 28    38    5     | 9     4     6     |
 | 4     6     39    | 29    7     1     | 8     5     23    |
 |-------------------+-------------------+-------------------|
 | 378   789   3789  | 1     6     78    | 5     2     4     |
 | 78    4     5     | 3     2     9     | 6     78    1     |
 | 6     1     2     | 5     4     78    | 3     78    9     |
 *-----------------------------------------------------------*

2. BUG-Lite (58)[(9)r2c5=(7)r3c2]-(7=289)r356c4 =>r2c4<>9


(Another BUG-Lite in band 3 ineffective.)
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Tue Aug 09, 2011 12:35 pm    Post subject: Reply with quote

Luke451 wrote:
Code:
*-----------------------------------------------------------*
 | 9    *58    1     | 4    *58    6     | 2     3     7     |
 | 578   3     4     | 789  *58+9  2     | 1     6    *58    |
 | 2    *58+7  6     |@78    1     3     | 4     9    *58    |
 |-------------------+-------------------+-------------------|
 | 358   2589  389   | 6     389   4     | 7     1     23    |
 | 1     278   378   | 28    38    5     | 9     4     6     |
 | 4     6     39    | 29    7     1     | 8     5     23    |
 |-------------------+-------------------+-------------------|
 | 378   789   3789  | 1     6     78    | 5     2     4     |
 | 78    4     5     | 3     2     9     | 6     78    1     |
 | 6     1     2     | 5     4     78    | 3     78    9     |
 *-----------------------------------------------------------*

2. BUG-Lite (58 )[(9)r2c5=(7)r3c2]-(7=289)r356c4 =>r2c4<>9

After staring at that a while, I noticed ... BUG-Lite (58 )[(9)r2c5 = (7)r3c2] - (7=58)r1c5,r3c4 ==> r2c5<>58

The AIC doesn't look any simpler, but it uses only one cell more than the BUG-Lite itself. It's a BUG-Lite equivalent to the UR+2kd pattern, probably named by Mike Barker. The 'k' in the name is for keith, who first posted this UR pattern. My search for keith's original post was not successful.
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Tue Aug 09, 2011 3:32 pm    Post subject: Reply with quote

ronk wrote:
The AIC doesn't look any simpler, but it uses only one cell more than the BUG-Lite itself.

That's squeaky clean. Not to mention cannibalic.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Tue Aug 09, 2011 4:13 pm    Post subject: Reply with quote

Luke, Ronk, nice work on the BUG-Lites...

For the record I had empty-rectangle practise..
Code:
er(3) c6, b6 ; r3c9<>3
er(8) r1, b5 ; r5c2<>8
xy-wing(28-7) r5c4, r3c4, r5c2 ; r3c2<>7
xy-wing(29-3) r4c2, r6c3, r4c9 ; r6c9<>3
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Marty R.



Joined: 12 Feb 2006
Posts: 5126
Location: Rochester, NY, USA

PostPosted: Tue Aug 09, 2011 7:50 pm    Post subject: Reply with quote

Multi-coloring; r6c7<>3
W-Wing (58), SL 5 in r3; r2c1<>8
XY-Wing (287); r1c2<>7
XY-Wing (392); r4c9<>2
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