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Set PA Puzzle 11

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Jan 27, 2009 11:45 am    Post subject: Set PA Puzzle 11 Reply with quote

This puzzle is not about the VH step.

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

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: Wed Jan 28, 2009 1:17 am    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 9      3      6     | 7      8      5     | 1      2      4     |
| 8      2      4     | 69     1      39    | 356    35679  35679 |
| 5      7      1     | 4      269    239   | 36     369    8     |
:---------------------+---------------------+---------------------:
| 7     B56     8     | 3      4      12    | 9      56     12    |
|W36     1     A239   | 5      7      289   | 4      368 2-[36]   |
| 4      59    A239   | 18     29     6     | 235    78     17    |
:---------------------+---------------------+---------------------:
| 1     B69    A39    | 2      5      7     | 8      4     W36    |
| 236    48     5     | 69     369    48    | 7      1      2369  |
| 236    48     7     | 18     369    148   | 2356   3569   23569 |
'---------------------'---------------------'---------------------'

ok, so skip the UR type 1... done...

notice how the 3's in box 4 in column 3 are strongly linked to the 3 in r7c3
(3)r56c3 = (3)r7c3 marked "A"
forms this w-wing on {6,3} which eliminates the 6 from r5c9.
(6=3)r5c1 - (3)r56c3 = (3)r7c3 - (3=6)r7c9; r5c9 <> 6

now the normal w-wing this time reversing the numbers using the strong link on 6 in column 2 marked "B"
w-wing {3,6} eliminates 3 from r5c9
(3=6)r4c2 - (6)r4c2 = (6)r7c2 - (6=3)r7c6; r5c9 <> 3
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