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Set XY_03 Puzzle 018

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Jun 17, 2009 9:50 pm    Post subject: Set XY_03 Puzzle 018 Reply with quote
This should be easier than puzzle #016.

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed Jun 17, 2009 11:56 pm    Post subject: Reply with quote
Code:
.------------------.------------------.------------------.
| 5     17    178  | 6     128   28   | 9     4     3    |
| 123   6     138  | 48    9     348  | 1258  7     158  |
| 123   4     9    | 5    *1378 *378  | 128   6     18   |
:------------------+------------------+------------------:
| 6     2     4    | 1     38    38   | 7     5     9    |
| 7     8     5    | 2     6     9    | 3     1     4    |
| 13    9     13   | 47   *57    457  | 6     8     2    |
:------------------+------------------+------------------:
| 4     157   127  | 9     2578  6    | 158   3     1578 |
| 9     3     6    | 78    578   1    | 4     2     578  |
| 8     157   127  | 3     4    *257  | 15    9     6    |
'------------------'------------------'------------------'

the w-wing {5,7} is true if the 2 in r9c6 is false, the w-wing would eliminate the 5 in r6c6.

or

if the w-wing is false, then the 2 is true in r9c6, leads to.
r9c6=2, => r1c6=8, => r3c4=4, => r6c4 <>4, r6c6=4; r6c6 <> 5

both ways the 5 in r6c6 can't exist.

[w-wing{(5=7)r6c5 - (7)r3c5 = (7)r3c6 - (7=5)r9c6] = (2)r9c6 - (2=8)r1c6 - (8=4)r3c4 - (4)r6c4 = (4)r6c6; r6c6 <> 5
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Thu Jun 18, 2009 12:00 am    Post subject: Reply with quote
The xyz-wing 348 sets up a w-wing 75 to solve it.
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