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Set J Puzzle 58 -- modest VH+

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Tue Feb 10, 2009 4:25 pm Post subject: Set J Puzzle 58 -- modest VH+

Several extraneous steps possible.

Code:

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

Play this puzzle online at the Daily Sudoku site

===== ===== ===== ===== ===== ===== ===== ===== ===== Ratings are Accumulative

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

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Wed Feb 11, 2009 7:33 pm Post subject:

Code:

.------------------.------------------.------------------.
| 4 3 6 |*179 5 2 | 19 8 *179 |
| 5 1 9 | 4 6[78] 6[78] | 2 *67 3 |
| 7 8 2 | 169 16 3 | 4 5 169 |
:------------------+------------------+------------------:
| 18 9 158 | 2 4 678 | 156 3 167 |
| 6 4 158 | 3 [78]9 [78] | 159 17 2 |
| 3 2 7 | 5 69 1 | 8 4 69 |
:------------------+------------------+------------------:
| 18 7 4 | 168 126 9 | 3 126 5 |
| 9 5 3 |*167 *1267 4 | 16 126 8 |
| 2 6 18 | 18 3 5 | 7 9 4 |
'------------------'------------------'------------------'

the UR on {7,8}r25c56 says that if the 6 does not exist in r2c6, then the 7's in r2c5c5 cannot exist, therefore the 7 in r8c5 must exist.
in other words... there exists a strong inference on the 6 in r2c6
and the 7 in r8c5, because if both were false, then the deadly pattern is forced to exist which is a no no.

UR78[(6)r5c6 = (7)r8c5] - (7)r8c4 = (7)r1c4 - (7)r1c9 = (7)r2c8; r2c8 <> 6
done.

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