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Puzzle 10/10/28: B XY

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Wed Oct 27, 2010 11:16 pm Post subject: Puzzle 10/10/28: B XY

Code:

+-----------------------+
| 1 . . | . . . | . . 6 |
| . 7 . | . . . | 3 . . |
| . . 2 | . 3 . | . . . |
|-------+-------+-------|
| . . . | . 7 . | . 3 1 |
| . . 6 | 1 9 . | 5 . . |
| . . . | . . 4 | 6 9 . |
|-------+-------+-------|
| . 4 . | . 2 9 | . 6 . |
| . . . | 4 . 6 | 9 7 3 |
| 3 . . | 7 . . | . 4 8 |
+-----------------------+

Play this puzzle online at the Daily Sudoku site

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Thu Oct 28, 2010 8:26 am Post subject:

sis on 8's in row 3 can solve this puzzle.

Code:

+------------------+---------------+-------------------+
| 1 359 35 | 259 4 7(8) | 7(8) 25 6 |
| 459 7 48 | 259 6 (18) | 3 1258 29 |
| 6 59(8) 2 | 59 3 7(18) | 47(8) 5(1-8) 49 |
+------------------+---------------+-------------------+
| 59 59 4(8) | 6 7 2 | 4-8 3 1 |
| 47 2(8) 6 | 1 9 3 | 5 28 47 |
| 27 13 13 | 8 5 4 | 6 9 27 |
+------------------+---------------+-------------------+
| 8 4 7 | 3 2 9 | 1 6 5 |
| 25 125 15 | 4 8 6 | 9 7 3 |
| 3 6 9 | 7 1 5 | 2 4 8 |
+------------------+---------------+-------------------+

looks like this.
kraken row 3 on 8's... r4c7 <> 8

(8)r3c2 - (8)r5c2 = (8)r4c3
||
(8)r3c6 - (8)r1c6 = (8)r1c7
||
(8)r3c7
||
(8)r3c8 - (1)r3c8 = (1)r3c6 - (1=8)r2c6 - (8)r1c6 = (8)r1c7

also note that the part in red eliminates the 8 in r3c8

tlanglet

Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

Posted: Thu Oct 28, 2010 1:25 pm Post subject:

Chasing more ADPs...............

Quote:

Type 4 UR(78)r13c67 x-wing overlay 7; r3c67<>8
internal SIS r3c6=1,r3c7=8: (8=1)r2c6-AUR(78)r13c67[(1)r3c6=(4)r3c7]-(4=8)r4c7-r4c3=(8)r2c3; r2c8<>8
This step demonstrates that it is possible to get additional deletions to standard Type "n" URs but the entire step is not necessary to complete this puzzle.

BUG-Lite+2 (135)r168c23 internal SIS r1c2=9,r8c2=2
BUG-Lite(135)r168c23[(9)r1c2=(2)r8c2]-(2=5)r8c1-(5=9)r4c1; r4c2<>9

No more useful ADPs, but a short extension of the vertex of a potential xy-wing does the trick: (8=9)r3c2-(9=3)r1c2-(3=5)r1c3-(5=2)r1c8-(2=8)r5c8; r5c2<>8

As an alternate one step solution.....

Flightless w-wing (25)r1c8,r8c1 SL (5)r18c3 plus transport (2)r8c1-r6c1=(2)r5c2;r5c8<>2

Ted

Last edited by tlanglet on Thu Oct 28, 2010 2:05 pm; edited 1 time in total

tlanglet

Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

Posted: Thu Oct 28, 2010 1:36 pm Post subject:

storm_norm wrote:

sis on 8's in row 3 can solve this puzzle.

looks like this.
kraken row 3 on 8's... r4c7 <> 8

(8)r3c2 - (8)r5c2 = (8)r4c3
||
(8)r3c6 - (8)r1c6 = (8)r1c7
||
(8)r3c7
||
(8)r3c8 - (1)r3c8 = (1)r3c6 - (1=8)r2c6 - (8)r1c6 = (8)r1c7

also note that the part in red eliminates the 8 in r3c8

Norm, I truly enjoy your "uncommon" pattern steps Exclamation

Ted

peterj

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

Posted: Thu Oct 28, 2010 6:53 pm Post subject:

I initially had an xy-chain ... but that's not good enough to keep up with Ted and Norm! So an ADP move...

Quote:

6-cell ADP(59) r2c14|r3c24|r4c12 ; r2c9<>2
(2)r2c4
||
(4)r2c1 - (4=7)r5c1 - (7=2)r6c1 - (2=5)r8c1 - r8c3=r1c3 - (5=2)r1c8
||
(8)3c2 - r5c2=(8-2)r5c8=r6c9

Marty R.

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

Posted: Fri Oct 29, 2010 12:23 am Post subject:

W-Wing (28); r6c123<>8 (move probably not needed) DP (13-15-35) boxes 147; r8c2<>2 due to invalidity

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