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Set XY_03 Puzzle 030

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Jul 30, 2009 3:41 pm    Post subject: Set XY_03 Puzzle 030 Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Jul 30, 2009 7:00 pm    Post subject: Reply with quote

DP #1 {solves it.}
Code:
.------------------.------------------.------------------.
| 3     2     1    | 7     45    45   | 9     8     6    |
| 9     8     4    |*13   *13    6    | 5     7     2    |
| 6     5     7    | 8     9     2    | 3     4     1    |
:------------------+------------------+------------------:
| 2     7     9    |*13    48   *13   | 6     5     48   |
| 48    6     3    | 25    7     458  | 1     29    489  |
| 48    1     5    | 26    2468  9    | 248   3     7    |
:------------------+------------------+------------------:
| 1     3     6    | 4     258   58   | 7     29    589  |
| 5     49    2    | 69    368   7    | 48    1     348  |
| 7     49    8    | 259  *1235 *13   | 24    6     345  |
'------------------'------------------'------------------'

the BUGlite marked {1,3} r249c456, in order to avoid the DP you can eliminate 13 from r9c5.

or you can think of the 3 in r8c5 and r9c9 as having to be there to avoid the DP, neither can both be false. and that eliminates the 3 in r8c9.

either solve the puzzle.
------
DP #2 {doesn't solve it.}

Code:
.------------------.------------------.------------------.
| 3     2     1    | 7     45    45   | 9     8     6    |
| 9     8     4    | 13    13    6    | 5     7     2    |
| 6     5     7    | 8     9     2    | 3     4     1    |
:------------------+------------------+------------------:
| 2     7     9    | 13   *48    13   | 6     5    *48   |
|*48    6     3    | 25    7     458  | 1     29   *489  |
|*48    1     5    | 26   *2468  9    | 248   3     7    |
:------------------+------------------+------------------:
| 1     3     6    | 4     258   58   | 7     29    589  |
| 5     49    2    | 69    368   7    | 48    1     348  |
| 7     49    8    | 259   1235  13   | 24    6     345  |
'------------------'------------------'------------------'

the 48 BUGlite, r456c159... in order to avoid the DP, either the (26) pair r6c45 is true or if not then the 9 in r9c9 has to be true.

BUG48[(26)r6c45 = (9)r5c9] - (9=2)r5c8; r6c7 <> 2

leads to a BUG+2 grid (interestingly still contains the DP #1 mentioned above) with a easy to see w-wing {4,8} eliminates 8 from r8c5.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Fri Jul 31, 2009 12:03 am    Post subject: Reply with quote

I used three steps
Quote:
Skyscraper 2
kite 8
w-wing 59 with 24 extension to link 9's
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