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Puzzle 10/07/10: XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sat Jul 10, 2010 4:17 am    Post subject: Puzzle 10/07/10: XY Reply with quote
Code:
 +-----------------------+
 | 7 . . | . 5 . | 3 1 . |
 | . . . | . . 8 | . . . |
 | . . 9 | . . . | 6 8 2 |
 |-------+-------+-------|
 | . . . | . . 3 | . 6 . |
 | 1 . . | . 8 . | . . . |
 | . 3 . | 1 . 7 | . 2 . |
 |-------+-------+-------|
 | 3 . 8 | . . . | 2 . . |
 | 2 . 6 | 5 . 1 | . . 8 |
 | . . 1 | . . . | . 5 . |
 +-----------------------+

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Code:
 after basics
 +-----------------------------------------------------+
 |  7    8    24   |  269  5    69   |  3    1    49   |
 |  46   26   3    |  29   1    8    |  5    479  479  |
 |  5    1    9    |  3    7    4    |  6    8    2    |
 |-----------------+-----------------+-----------------|
 |  8    49   57   |  49   2    3    |  1    6    57   |
 |  1    26   247  |  469  8    5    |  49   479  3    |
 |  469  3    45   |  1    69   7    |  8    2    459  |
 |-----------------+-----------------+-----------------|
 |  3    5    8    |  7    469  69   |  2    49   1    |
 |  2    479  6    |  5    49   1    |  479  3    8    |
 |  49   479  1    |  8    3    2    |  479  5    6    |
 +-----------------------------------------------------+
 # 44 eliminations remain
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Jul 10, 2010 4:41 am    Post subject: Reply with quote
Assuming I did it correctly..................

Quote:
Almost xy-wing 2-69 with vertex r2c4 plus transport (6)r1c6-r7c6=r7c5-r6c5=(6)r5c4; r5c2<>6

Ted
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Jul 10, 2010 1:22 pm    Post subject: Reply with quote
Here is an alternate solution using a AUR and ADP. Three AURs are in r89c27: (47), (49), & (79). Looking at each possibility separately, we have the following.

AUR47: (9) is required in one of four cells r89c27
(9)r89c2-(9=4)r4c2 & (9)r89c7-(9=4)r5c7 which form pincers so r5c3<>4 plus transport (4)r4c2-r89c2=(4)r9c1; r9c7<>4

AUR79: (4) is required in one of four cells r89c27
(4)r89c2-(4=9)r4c2 & (4)r89c7-(4=9)r5c7 which form pincers to transport (9)r4c2-r89c2=(9)r9c1; r9c7<>9

AUR49: (7) is required in one of four cells r8927but not deletions are possible.
However by looking outside the AUR cells the row implications are (49)r8c5 & r9c1
(4)r8c5=(4)r9c1; r8c2<>4 plus transport (4)r8c5-r7c5=(4)r7c8; r9c7<>4
(9)r8c5=(9)r9c1; r8c2<>9 plus transport (9)r8c5-r7c56=(9)r7c8; r9c7<>9
In summary, the deletions provided are:
(4): r5c3, r8c2 & r9c7
(9): r8c2 & r9c7

To complete the puzzle: (9=6)r6c5-ADP49[(6)r7c5=(7)r5c8]r578c578-(7=2)r5c3-r1c3=r2c2-(2=9)r2c4; r45c4<>9

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Jul 11, 2010 10:07 pm    Post subject: Reply with quote
M-Wing (49)
W-Wing (49)
XY-Wing (459), flightless with pincer transport
Type 1 UR (47)
BUG+2
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