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Set NNP_2 Puzzle 51 -- VH+

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Fri Feb 20, 2009 8:44 am Post subject: Set NNP_2 Puzzle 51 -- VH+

Code:

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

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, finned/Sashimi X-Wing

Advanced: Multiple Colors, Swordfish, M-Wing, W-Wing, XY-Chain

Extreme: Jellyfish, (but mostly) Chain

wapati

Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.

Posted: Fri Feb 20, 2009 5:07 pm Post subject:

I am seeing four steps unless you don't use UR-2. An x-wing and 2 xy-wings get around the UR. A kite, xyz-wing and xy-wing get you to the UR.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Fri Feb 20, 2009 8:39 pm Post subject:

Code:

.------------------.------------------.------------------.
| 1 *6-9 3 |U479 5 U479 |*26 *27 8 |
| 69 4 8 | 1279 27 1279 | 5 3 *67 |
| 5 7 2 | 3 8 6 | 4 1 9 |
:------------------+------------------+------------------:
| 378 123 9 | 6 4 1278 | 28 *257 *57 |
| 678 26 5 | 279 3 2789 | 1 2479 467 |
| 678 126 4 | 1279 27 5 | 268 279 3 |
:------------------+------------------+------------------:
| 2 8 6 |U457 9 U47 | 3 *45 1 |
| 39 39 1 | 245 6 24 | 7 8 45 |
| 4 5 7 | 8 1 3 | 9 6 2 |
'------------------'------------------'------------------'

the UR on {4,7} tells us that neither the 9's in r1c46 nor the 5 in r7c4 can both be false... we can use that.

UR47[(9)r1c46 = (5)r7c4] - (5)r7c8 = (5)r4c8 - (5=7)r4c9 - (7)r2c9 = (7-2)r1c8 = (2-6)r1c7 = (6)r1c2; r1c2 <> 9

singles left.

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