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Puzzle 11/08/17: ~ XY (difficult!)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Aug 17, 2011 2:04 pm    Post subject: Puzzle 11/08/17: ~ XY (difficult!) Reply with quote
Code:
 +-----------------------+
 | 8 5 . | . . . | . . . |
 | 1 9 . | . 7 . | . . 3 |
 | . . 7 | 5 . . | . 2 . |
 |-------+-------+-------|
 | . . 5 | 8 6 . | . 9 2 |
 | . 2 . | 7 5 . | . . . |
 | . . . | . . 2 | 5 3 7 |
 |-------+-------+-------|
 | . . . | . . 7 | 3 4 5 |
 | . . 8 | 3 . 4 | 9 1 . |
 | . 3 . | 6 . 5 | 2 . 8 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Aug 18, 2011 5:02 am    Post subject: Reply with quote
A tough slog.

Multi-coloring (1); r1c9<>1
XY-Wing (491), pivot r1c9; r5c6<>1
XY-Chain, 6 in r3c2 proves 4 in r6c5; r3c5<>4
XYZ-Wing (349); r1c4<>9
Type 4 UR (24); r12c3<>4
XY-Wing (264), flightless with transport; r4c2<>4
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Thu Aug 18, 2011 7:57 am    Post subject: Reply with quote
Fun puzzle with lots of moves and paths to try...

First two could be combined as an 'almost' if desired.. final move perhaps a bit "extreme" but effective!
Code:
colouring/x-chain(1) (1)r3c7=r4c7 - r4c2=r7c2 - r7c4=r9c5 ; r3c5<>1
xy-wing(19-4) r1c96, r5c9 ; r5c6<>1
xy-wing with big als pivot! ; (4=1)r4c7 - als(13468)r3c1267[(1)r3c7=(3)r3c1] - (3=4)r5c1 ; r4c2<>4, r5c9<>4
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