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Set XY_03 Puzzle 1

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri May 01, 2009 3:22 pm    Post subject: Set XY_03 Puzzle 1 Reply with quote
Normally, I discard XY puzzles that need fish in their solutions. However, I discovered that some puzzles are still interesting even if the advanced fish eliminations are known. So ...

You'll Need wrote:
[r1c4]<>7 to get around the advanced fish

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Sat May 02, 2009 3:50 am    Post subject: Reply with quote
Code:
.------------------.------------------.------------------.
| 3     1579  19   | 157   17    2    | 4     8     6    |
| 17    157   8    | 6     4     1357 | 39    27    2379 |
| 4     6     2    | 8     9     37   | 5     1     37   |
:------------------+------------------+------------------:
| 6     1379  5    | 1237  137   8    | 39    27    4    |
| 27    8     4    | 237   5     9    | 1     6     237  |
| 127   1379  139  | 1237  6     4    | 8     5     2379 |
:------------------+------------------+------------------:
| 5     4     7    | 9     8     6    | 2     3     1    |
| 9     13    6    | 135   2     15   | 7     4     8    |
| 8     2     13   | 4     137   17   | 6     9     5    |
'------------------'------------------'------------------'

naming that tune in two notes

(3=9)r2c7 - (9=3)r4c7 - (3)r4c5 = (3)r9c5 - (3=1)r9c3 - (1=7)r9c6 - (7=3)r3c6; r2c6 <> 3
some dust settles
w-wing {1,3} strong link on 3 in box 8, removes 1 from r4c2
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat May 02, 2009 2:07 pm    Post subject: Reply with quote
My initial pass at this puzzle was basically a "brute force club" approach that ignored any advanced fish but required nine steps. Reviewing that solution suggested the following three step solution:
Quote:
skyscraper 3 r9c35,
ER 7 with hinge in box1 and strong link in col8,
xy-wing 139 with pivot 19 in r4c2; transport 3 in r4c7 => r5c9 => r5c4; r8c4<>3

Ted Very Happy
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