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Set J Puzzle 47 -- busy VH+

dailysudoku.com Forum Index -> Puzzles by daj

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sat Feb 07, 2009 10:26 pm Post subject: Set J Puzzle 47 -- busy VH+

Bonus points given if you find (grouped) 2-String Kite.

Code:

+-----------------------+
| 2 . . | . . 6 | . . . |
| . 6 . | 3 . 9 | . . . |
| . . 7 | 4 2 . | . 6 . |
|-------+-------+-------|
| . 1 3 | . 4 5 | 2 . . |
| . . 2 | 6 1 . | 4 . . |
| 6 7 . | 2 . 3 | . 9 . |
|-------+-------+-------|
| . . . | 7 6 . | . . . |
| . . 9 | . . 2 | . . 1 |
| . . . | . . . | . 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 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: Mon Feb 09, 2009 2:43 am Post subject:

here we go.
three steps.
ER on 1 is present below

Code:

.---------------------.---------------------.---------------------.
| 2 34589 158 | 18 57 6 | 35789 145 489 |
| 145 6 158 | 3 57 9 | 578 1245 248 |
|E1359 3589 7 | 4 2 E18 | 3589 6 89 |
:---------------------+---------------------+---------------------:
| 8 1 3 | 9 4 5 | 2 7 6 |
| 59 59 2 | 6 1 7 | 4 8 3 |
| 6 7 4 | 2 8 3 | 1 9 5 |
:---------------------+---------------------+---------------------:
|E1345 3458 E158 | 7 6 -148 | 589 245 2489 |
| 7 458 9 | 58 3 2 | 6 45 1 |
|E145 2 6 | 158 9 148 | 58 3 7 |
'---------------------'---------------------'---------------------'

------------------
then...

Code:

.---------------------.---------------------.---------------------.
| 2 *34589 158 | 18 57 6 |*35789 145 *489 |
|*145 6 158 | 3 57 9 | 578 1245 248 |
|U1359 U3589 7 | 4 2 18 |*3589 6 *89 |
:---------------------+---------------------+---------------------:
| 8 1 3 | 9 4 5 | 2 7 6 |
|U59 U59 2 | 6 1 7 | 4 8 3 |
| 6 7 4 | 2 8 3 | 1 9 5 |
:---------------------+---------------------+---------------------:
| 1345 3458 158 | 7 6 48 | 589 245 2489 |
| 7 458 9 | 58 3 2 | 6 45 1 |
|*45 2 6 | 158 9 148 |-58 3 7 |
'---------------------'---------------------'---------------------'

notice the UR cells marked on {5,9}. the UR says that in order to avoid the deadly pattern, both the 5 in r3c7 and the 9's in r3c79 can't all be false.
in other words, UR59[(5)r3c7 = (9)r3c79]... which can be extended to eliminate the 5 in r9c7...
UR59[(5)r3c7 = (9)r3c79] - (9)r1c79 = (9-4)r1c2 = (4)r2c1 - (4=5)r9c1; r9c7 <> 5
---------------------

Code:

.---------------------.---------------------.---------------------.
| 2 34589 158 | 18 57 6 | 3579 145 489 |
| 14 6 18 | 3 57 9 | 57 124 248 |
| 1359 3589 7 | 4 2 18 | 359 6 89 |
:---------------------+---------------------+---------------------:
| 8 1 3 | 9 4 5 | 2 7 6 |
| 59 59 2 | 6 1 7 | 4 8 3 |
| 6 7 4 | 2 8 3 | 1 9 5 |
:---------------------+---------------------+---------------------:
| 1345 3458 158 | 7 6 48 | 59 245 249 |
| 7 -458 9 |W58 3 2 | 6 W45 1 |
|W45 2 6 |W15 9 14 | 8 3 7 |
'---------------------'---------------------'---------------------'

the above marked W-wing on {4,5} removes 4 from r8c2 and finishes it.

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