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Puzzle 11/08/07: A XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Aug 07, 2011 5:18 pm    Post subject: Puzzle 11/08/07: A XY Reply with quote

Code:
 +-----------------------+
 | 8 . 1 | 4 . 6 | 5 . . |
 | . 9 . | . . . | . . 8 |
 | 6 . 3 | . . . | . . . |
 |-------+-------+-------|
 | 9 . . | 7 1 . | 4 8 5 |
 | . . . | 6 . 9 | 7 . . |
 | 4 . . | . 8 3 | 9 1 . |
 |-------+-------+-------|
 | 1 . . | 3 6 4 | . . 9 |
 | . . . | 2 . 1 | . . . |
 | . 6 . | 9 . . | 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: Tue Aug 09, 2011 4:19 am    Post subject: Reply with quote

At least in the spirit of xy:
Code:
*--------------------------------------------------------------------*
 | 8      27     1      | 4      239    6      | 5      2379   237    |
 | 27     9      45     | 1      23     57     | 26     23467  8      |
 | 6      45     3      | 8      29     57     | 1      2479   247    |
 |----------------------+----------------------+----------------------|
 | 9      3      6      | 7      1      2      | 4      8      5      |
 | 5      1      8      | 6      4      9      | 7      23     23     |
 | 4      27     27     | 5      8      3      | 9      1      6      |
 |----------------------+----------------------+----------------------|
 | 1      58     257    | 3      6      4      | 28     257    9      |
 | 3      458    9      | 2      57     1      | 68     4567   47     |
 | 27     6      2457   | 9      57     8      | 3      2457   1      |
 *--------------------------------------------------------------------*

1. (8)r8c7=r7c7-(8=5)r7c2-(5=4)r3c2-r3c89=(4-6)r2c8=(6)r2c7 =>r8c7<>6
2. w-wing (57)r2c6,r7c3 =>r2c3<>5 (works as xy as well)

Combining 'em:

(6)r2c8=(6-2)r2c7=r7c7-(2)r7c3=w-wing(57)-(5=4)r2c3 =>r2c8<>4, ste
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Marty R.



Joined: 12 Feb 2006
Posts: 5064
Location: Rochester, NY, USA

PostPosted: Tue Aug 09, 2011 4:55 am    Post subject: Reply with quote

I played an X-Wing on 4, Skyscraper on 2 and Multi-coloring on 7, not knowing to what extent, if any, these contributed to the solution. Overlapping URs, Type 1 on 23 and Type 4 on 29 set r1c8<>23 and r1c5<>2. These exposed an XY-Wing on 239; r1c8, r2c5<>9.
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