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Puzzle 11/08/07: ~ Advanced

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Aug 07, 2011 5:18 pm Post subject: Puzzle 11/08/07: ~ Advanced

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

Luke451

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

Posted: Tue Aug 09, 2011 7:20 am Post subject:

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.)

ronk

Joined: 07 May 2006
Posts: 398

Posted: Tue Aug 09, 2011 12:35 pm Post subject:

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.

Luke451

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

Posted: Tue Aug 09, 2011 3:32 pm Post subject:

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.

peterj

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

Posted: Tue Aug 09, 2011 4:13 pm Post subject:

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

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Tue Aug 09, 2011 7:50 pm Post subject:

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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