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Puzzle 11/07/29: ~ XY (difficult?)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Thu Jul 28, 2011 7:24 pm    Post subject: Puzzle 11/07/29: ~ XY (difficult?) Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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Luke451



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

PostPosted: Thu Jul 28, 2011 9:09 pm    Post subject: Reply with quote

Won't even look for a one-shot because I simply cannot resist the little pattern in the first step.

Code:
*-----------------------------------------------------------*
 | 18    48    14    | 2     7     9     | 3     5     6     |
 | 5     3     9     | 14    146   146   | 8     7     2     |
 | 2     7     6     | 3     5     8     | 9     1     4     |
 |-------------------+-------------------+-------------------|
 | 18    489   14    | 7     3     456   | 46    2     59    |
 | 6     2     3     | 149   8     15    | 147   49    1579  |
 | 7     49    5     | 149   146   2     | 146   3     8     |
 |-------------------+-------------------+-------------------|
 | 4     16    7     | 8     2     3     | 5     69    19    |
 | 3     5     2     | 6     9     14    | 147   8     17    |
 | 9     16    8     | 5     14    7     | 2     46    3     |
 *-----------------------------------------------------------*

Quote:
(148)BUG-Lite r14c123 =>r4c2=9
Any one of the available w-wings mops up.
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Marty R.



Joined: 12 Feb 2006
Posts: 5160
Location: Rochester, NY, USA

PostPosted: Fri Jul 29, 2011 4:56 am    Post subject: Reply with quote

Same as Luke; this type of solution was not expected.
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tlanglet



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

PostPosted: Fri Jul 29, 2011 10:06 pm    Post subject: Reply with quote

I also initially found the BUG-Lite, so I made a second pass and found a xy-wing with a two fins.

aaxy-wing(46-1)b5q38+r8c6 with two fins: (5)r4c6 and (4)r6c5; r5c6, r9c5<>1
xy-wing (46-1) b5q38+r8c6;
||
(5)r4c6-(5=9)r4c9-(9=1)r7c9-r8c79=r8c6;
||
(4)r6c5-(4=9)r6c2-r4c2=r4c9-(9=1)r7c9-r8c79=r8c6;

Ted
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