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Set XY_03 Puzzle 003

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sun May 17, 2009 4:37 pm    Post subject: Set XY_03 Puzzle 003 Reply with quote
Code:
 +-----------------------+
 | . . . | . 4 . | . . . |
 | . 4 . | 8 . 5 | . . . |
 | . . 5 | 2 3 6 | . . . |
 |-------+-------+-------|
 | . 9 1 | . 6 . | 2 5 . |
 | 5 . 6 | 7 . 9 | 4 . . |
 | . 2 8 | . 5 4 | . . 6 |
 |-------+-------+-------|
 | . . . | 5 9 . | 1 . . |
 | . . . | 6 . . | . . 5 |
 | . . . | . . 3 | . 9 2 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Mon May 18, 2009 7:12 am    Post subject: Reply with quote
Code:
.---------------------.---------------------.---------------------.
| 12368  1678   23    | 9      4      17    | 5      12678  138   |
| 12369  4      239   | 8      17     5     | 367    1267   139   |
| 189    178    5     | 2      3      6     | 78     1478   1489  |
:---------------------+---------------------+---------------------:
| 4      9      1     | 3      6      8     | 2      5      7     |
| 5      3      6     | 7      2      9     | 4      18     18    |
| 7      2      8     | 1      5      4     | 9      3      6     |
:---------------------+---------------------+---------------------:
| 23     68     234   | 5      9      27    | 1      4678   348   |
| 239    18     2349  | 6      178    127   | 378    478    5     |
| 168    5      7     | 4      18     3     | 68     9      2     |
'---------------------'---------------------'---------------------'

1...m-wing...(8=6)r9c7 - (6)r9c1 = (6-8)r7c2 = (8)r7c89; r8c78 <> 8

2...ER on 8... r3c7 = r9c7 - r9c1 = r78c2; r3c2 <> 8

3...extended w-wing {1,8} with grouped strong link on 1
(8=1)r9c5 - (1)r8c56 = (1)r8c2 - (1=7)r3c2 - (7=8)r3c7; r9c7 <> 8

4... xy-wing {1,3,7} removes 7 from r2c5 to finish it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Wed May 20, 2009 12:42 am    Post subject: Reply with quote
Norm,

That's an impressive move with the M-Wing. I saw the wing but couldn't find a way to extend it. Here's my grid after the M-Wing and ER:

Code:

+-----------------+-----------+----------------+
| 12368 1678 23   | 9 4   17  | 5   12678 138  |
| 12369 4    239  | 8 17  5   | 367 1267  139  |
| 189   17   5    | 2 3   6   | 78  1478  1489 |
+-----------------+-----------+----------------+
| 4     9    1    | 3 6   8   | 2   5     7    |
| 5     3    6    | 7 2   9   | 4   18    18   |
| 7     2    8    | 1 5   4   | 9   3     6    |
+-----------------+-----------+----------------+
| 23    68   234  | 5 9   27  | 1   4678  348  |
| 239   18   2349 | 6 178 127 | 37  47    5    |
| 168   5    7    | 4 18  3   | 68  9     2    |
+-----------------+-----------+----------------+

Play this puzzle online at the Daily Sudoku site

I can't see the W-Wing on 18. But I have an unrelated question.

Note the flightless XY-Wing on 178, pivoted in r3c2. Can the 8 pincer in r3c7 be transported to a grouped pincer in r7c89 (same as the M-Wing), thus taking out the 8 from r7c2?
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed May 20, 2009 1:17 am    Post subject: Reply with quote
Marty R. wrote:
Norm,

That's an impressive move with the M-Wing. I saw the wing but couldn't find a way to extend it. Here's my grid after the M-Wing and ER:

Code:

+-----------------+-----------+----------------+
| 12368 1678 23   | 9 4   17  | 5   12678 138  |
| 12369 4    239  | 8 17  5   | 367 1267  139  |
| 189   17   5    | 2 3   6   | 78  1478  1489 |
+-----------------+-----------+----------------+
| 4     9    1    | 3 6   8   | 2   5     7    |
| 5     3    6    | 7 2   9   | 4   18    18   |
| 7     2    8    | 1 5   4   | 9   3     6    |
+-----------------+-----------+----------------+
| 23    68   234  | 5 9   27  | 1   4678  348  |
| 239   18   2349 | 6 178 127 | 37  47    5    |
| 168   5    7    | 4 18  3   | 68  9     2    |
+-----------------+-----------+----------------+

Play this puzzle online at the Daily Sudoku site

I can't see the W-Wing on 18. But I have an unrelated question.

Note the flightless XY-Wing on 178, pivoted in r3c2. Can the 8 pincer in r3c7 be transported to a grouped pincer in r7c89 (same as the M-Wing), thus taking out the 8 from r7c2?

yes Idea
also impressive.

your chain would look like this.
(8=1)r8c2 - (1=7)r3c2 - (7=8)r3c7 - (8)r9c7 = (8)r7c89; r7c2 <> 8
flightless wing in blue
extension in red
once you establish that the either 8 on the end of the flightless wing can be true, then the 8's in box 9 become a nice "ER" extension.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Wed May 20, 2009 3:47 am    Post subject: Reply with quote
Thanks Norm. That wing finished it off.
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