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Set N Puzzle 8 -- VH

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Thu Jan 29, 2009 6:57 pm    Post subject: Set N Puzzle 8 -- VH Reply with quote

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

Play this puzzle online at the Daily Sudoku site

===== ===== ===== ===== ===== ===== ===== ===== ===== Ratings

Can be solved using steps from ...

Basics: Naked/Hidden Single, Naked Pair/Triple, Locked Candidate 1/2

Basics+: Naked Quad, Hidden Pair/Triple/Quad

VH: BUG+1, UR Type 1, X-Wing, XY-Wing, XYZ-Wing

VH+: 2-String Kite, Empty Rectangle, Remote Pair, Skyscraper, Colors, UR Type 2

Advanced: finned/Sashimi X-Wing, Multiple Colors, Swordfish, M-Wing, W-Wing, XY-Chain

Extreme: Jellyfish, (but mostly) Chain
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Jan 30, 2009 7:08 am    Post subject: Reply with quote

Code:
.------------------------.------------------------.------------------------.
| 9       347     247    | 45      6       8      | 245     1       37     |
| 5       1       47     | 9       2       3      | 8       47      6      |
| 28      348     6      | 45      1       7      | 2459    245     39     |
:------------------------+------------------------+------------------------:
| 18      6       18     | 3       4       5      | 7       9       2      |
| 7       5       3      | 1       9       2      | 6       8       4      |
| 4       2       9      | 8       7       6      | 1       3       5      |
:------------------------+------------------------+------------------------:
| 6       9       157    | 2       8       4      | 3       57      17     |
| 3       48      248    | 7       5       1      | 249     6       89     |
| 128     478     124578 | 6       3       9      | 245     2457    178    |
'------------------------'------------------------'------------------------'

I did not see a xyz-wing and therefore this route is longer than necessary.
x-wing 2
xy-wing {4,5,7}
chain...(4=7)r2c3 - (7)r2c8 = (7-3)r9c1 = (3)r1c2; r1c2 <> 4
m-wing{4,5}... (4=5)r9c7 - (5)r1c7 = (5-4)r1c4 = (4)r1c3; r9c3 <> 4
extend that same m-wing...
(4=5)r9c7 - (5)r1c7 = (5-4)r1c4 = (4)r1c3 - (4=7)r2c3 - (7)r79c3 = (7)r9c2; r9c2 <> 4
xy-wing {2,4,5}
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