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Puzzle 11/05/28: ~ XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat May 28, 2011 5:55 pm    Post subject: Puzzle 11/05/28: ~ XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Sun May 29, 2011 8:11 am    Post subject: Reply with quote

Just to relax after the high flying discussions on the Eureka Forum Rolling Eyes ...
Quote:
If r2c4=9 Then r3c6=8, r37c45=37. Therefore r2c4=3.
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Marty R.



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

PostPosted: Mon May 30, 2011 4:48 am    Post subject: Reply with quote

Hidden UR (35); r5c3<>3
XY-Wing (135); r4c3, r5c7<>5
DP (37), boxes 28; all possibilities solve box 8 the same
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peterj



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

PostPosted: Mon May 30, 2011 7:49 am    Post subject: Reply with quote

JC (and Marty) nice UR move! An example of where mixing internal and external SIS can make it very clear...
Code:
ur(37)r37c45[(9)r7c4=(3)r2c4] ; r2c4<>9

I found an m-wing-like move..
Code:
m-wing-like(69) ; (6=1)r1c6=(1=9)r1c8 - r6c8=(9-6)r6c7=r6c5 ; r2c5<>6, r5c6<>6
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon May 30, 2011 3:26 pm    Post subject: Reply with quote

My solver also found r2c4<>9. However, I decided to see if I could find something my solver couldn't find.

Code:
 <29> DP r7c69,r8c29,r9c26

 (3)r7c9             - (3)r9c7
 (8)r9c6 - (8=3)r9c5 - (3)r9c7
 +--------------------------------------------------------------+
 |  8     3     69    |  2     4     16    |  7     19    5     |
 |  4     7     269   |  39    16    5     |  8     139   1239  |
 |  5     1     29    |  379   378   89    |  239   4     6     |
 |--------------------+--------------------+--------------------|
 |  7     6     135   |  4     9     13    |  35    2     8     |
 |  9     4     135   |  8     2     136   |  356   7     13    |
 |  2     8     13    |  5     16    7     |  369   139   4     |
 |--------------------+--------------------+--------------------|
 |  1     5     8     |  379   37   *29    |  4     6    *29+3  |
 |  3    *29    7     |  6     5     4     |  1     8    *29    |
 |  6    *29    4     |  1     38   *29+8  |  29-3  5     7     |
 +--------------------------------------------------------------+
 # 51 eliminations remain
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