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Set H Puzzle 3

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Wed Dec 24, 2008 6:42 pm    Post subject: Set H Puzzle 3 Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Wed Dec 24, 2008 8:10 pm    Post subject: Reply with quote

I worked very hard and long on this one. I had to redo basics after most deletions, due to either other basic deletions or VH technique deletions. It only required me five steps as follows:
Quote:
a Type 2 UR <56>, skyscraper <1>, xy-wing <168>, kite <6> and xy-wing <159>

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5176
Location: Rochester, NY, USA

PostPosted: Thu Dec 25, 2008 1:37 am    Post subject: Reply with quote

I also used five steps, a couple in common with Ted.

Quote:
Type 4 UR (78 )
Type 2 UR (56)
XYZ-Wing (156)
Coloring (1)
XY-Wing (168)
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Dec 25, 2008 7:50 am    Post subject: Reply with quote

Code:
.------------------.------------------.------------------.
| 2     1     9    | 8     7     4    | 56    3     56   |
| 4     3     8    | 56    1     56   | 9     7     2    |
| 5     6     7    | 9     3     2    | 4     8     1    |
:------------------+------------------+------------------:
| 16    8     2    | 7     4569  1569 | 156   1469  3    |
| 9     5     16   | 34    2     136  | 78    146   78   |
| 7     4     3    | 156   569   8    | 2     169   56   |
:------------------+------------------+------------------:
| 168   29    5    | 24    4689  7    | 3     16    48   |
| 3     7     4    | 156   568   156  | 168   2     9    |
| 168   29    16   | 234   4689  1369 | 1678  5     478  |
'------------------'------------------'------------------'

w-wing grouped link... (6=1)r4c1 - (1)r4c7 = (1)r456c8 - (1=6)r7c8; r7c1 <> 6

the resulting intersection of 6's in block 9 removes 6 from r9c7...

opens up a UR infered xy-wing (again). using the 78UR in r59c79 makes this inference 78URr59c79[(4)r9c9 = (1)r9c7]...

you can make this xy-wing...

(1=8)r7c1 - (8=4)r7c9 - 78UR[(4)r9c9 = (1)r9c7]; r9c13 <> 1.

singles.
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