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Puzzle 10/07/14: XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Jul 14, 2010 8:48 am    Post subject: Puzzle 10/07/14: XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  4     89    1     |  235   39    25    |  57    578   6     |
 |  89    5     2     |  46    69    7     |  14    18    3     |
 |  7     6     3     |  45    8     1     |  459   2     49    |
 |--------------------+--------------------+--------------------|
 |  23    34    9     |  8     5     6     |  1247  17    47    |
 |  1     7     5     |  9     2     4     |  3     6     8     |
 |  28    48    6     |  1     7     3     |  24    9     5     |
 |--------------------+--------------------+--------------------|
 |  359   39    8     |  2357  4     25    |  6     57    1     |
 |  56    2     4     |  567   1     8     |  579   3     79    |
 |  356   1     7     |  356   36    9     |  8     4     2     |
 +--------------------------------------------------------------+
 # 46 eliminations remain
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed Jul 14, 2010 5:39 pm    Post subject: Reply with quote

Truly, I was only trying to extend the vertex of a potential xy-wing but I found this long horrible contradiction chain:

(4)r3c4-(4=6)r2c4-(6=9)r2c5-(9=8)r2c1-(8=2)r6c1-(2=3)r4c1-(3=4)r4c2-(4)r4c9=(4)r3c9-(4)r3c4; r3c4<>4

I will try to find a pattern solution later....

Ted
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed Jul 14, 2010 7:50 pm    Post subject: Reply with quote

I also lucked out on my first more using a pattern.........

Quote:
xy-wing 14-8 with vertex (14)r2c7 and pseudocell (48)r6c17; r2c1<>8


Still another solution attempting to extend the vertex of a potential xy-wing 24-7.
Quote:
(7=4)r4c9-(4=2)r6c7-(2=8)r6c1-r2c1=(8-1)r2c8=(1)r4c8; r4c8<>7

Ted
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Marty R.



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

PostPosted: Fri Jul 16, 2010 1:33 am    Post subject: Reply with quote

W-Wing (57)
M-Wing (39)
UR (56), boxes 78, either DP killer solves box 9 the same way
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