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Puzzle 11/07/31: ~ XY (very difficult!)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Jul 31, 2011 5:46 pm    Post subject: Puzzle 11/07/31: ~ XY (very difficult!) Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sun Jul 31, 2011 9:15 pm    Post subject: Reply with quote

Code:
*--------------------------------------------------------------------*
 | 7      8      6      | 235    235    9      | 4      1      23     |
 | 4      3      25     | 6      27     1      | 257    8      9      |
 | 19     25     19     | 8      237    4      | 2357   2357   6      |
 |----------------------+----------------------+----------------------|
 | 125    7      125    | 9      46     3      | 25     46     8      |
 | 259    6      259    | 24     8      57     | 2357   23457  1      |
 | 3      4      8      | 1      26     57     | 9      2567   27     |
 |----------------------+----------------------+----------------------|
 | 8      9      34     | 347    1      2      | 6      37     5      |
 | 6      25     34     | 3457   345    8      | 1      9      2347   |
 | 25     1      7      | 345    9      6      | 8      23     234    |
 *--------------------------------------------------------------------*


I started looking at 2s, and never stopped until the puzzle was solved.

Flightless m-wing: (2=5)r2c3-r3c2=(5=2)r8c2=r8c9-r1c9=r1c45; r2c5<>2
6-cell RP(25)r4c7+r2c7+r2c3+r3c2+r8c2+r9c1; r4c1<>25
coloring(2);r6c9<>2
Multi-coloring (2); r1c9<>2
xy-wing(24-5)r5c41+r9c4; r9c1<>5=2

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5124
Location: Rochester, NY, USA

PostPosted: Mon Aug 01, 2011 4:35 am    Post subject: Reply with quote

XY-Wing (275); r6c8<>5
AIC; r4c1<>2 + transport; r6c9<>2
XY-Chain; r8c9<>3
XY-Wing (452); r5c1<>2
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peterj



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

PostPosted: Mon Aug 01, 2011 11:08 am    Post subject: Reply with quote

Digits 2 and 5 were certainly where the action was!
It would be a stretch to call this move a flightless s-wing with extended transport...
Code:
(2)r1c4=r5c4 - r6c5=r6c89 - (2=5)r4c7 - (5)r56c8=r3c8 - r3c2=r8c2 - r8c5=r1c5 ; r1c5<>2, r1c4<>5
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Mon Aug 01, 2011 1:00 pm    Post subject: Reply with quote

peterj wrote:
It would be a stretch to call this move a flightless s-wing with extended transport...
Code:
(2)r1c4=r5c4 - r6c5=r6c89 - (2=5)r4c7 - (5)r56c8=r3c8 - r3c2=r8c2 - r8c5=r1c5 ; r1c5<>2, r1c4<>5

Not a stretch, even extended s-wing would be OK in my opinion. Do we use different names for a remote pair of four cells and one with six cells?

Nice find ... whatever the name.
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Mon Aug 01, 2011 2:00 pm    Post subject: Reply with quote

Peter, very nice find indeed Exclamation

Ron, I try to stay out of terminology issues and do not usually post names except for the basic patterns. I also provide more info about a basic pattern such, as "6-cell RP(25)r4c7+r2c7+r2c3+r3c2+r8c2+r9c1; r4c1<>25". Hopefully, if I provide sufficient detail, a move is then understandable and the name is irrelevant.

Ted
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