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Set H Puzzle 50

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Jan 10, 2009 12:35 am    Post subject: Set H Puzzle 50 Reply with quote

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

Play this puzzle online at the Daily Sudoku site

===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== =====

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, Remote Pair, UR Type 1, X-Wing, XY-Wing

Advanced: 2-String Kite, Empty Rectangle, Skyscraper, UR Type 2, XYZ-Wing

Extreme: finned X-Wing, M-Wing, W-Wing, XY-Chain

Extreme+: Swordfish, Jellyfish, (but mostly) Chain
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Marty R.



Joined: 12 Feb 2006
Posts: 5123
Location: Rochester, NY, USA

PostPosted: Sat Jan 10, 2009 8:24 pm    Post subject: Reply with quote

A three-stepper but the first step did nothing.

Quote:
XYZ-Wing (234), ER (8 ) and Type 4 UR (89)
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Jan 10, 2009 9:19 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 5      49     349   | 7      2      6     | 1      34     8     |
| 23     6      1     | 4      35     8     | 359    7      239   |
| 78     24     78    | 35     1      9     | 3456   234    2346  |
:---------------------+---------------------+---------------------:
| 4      7      28    | 35     9      135   | 38     6      123   |
| 9      3      6     | 2      8      14    | 7      14     5     |
| 28     1      5     | 6      34     7     | 3489 234(89)  2349  |
:---------------------+---------------------+---------------------:
| 1      459    3479  |U89     3456   345   | 2    34(89)   34679 |
| 237    8      23479 | 1      346    234   | 3469   5      34679 |
| 6      2459   2349  |U89     7      2345  | 3489 134(89)  1349  |
'---------------------'---------------------'---------------------'

notice the UR marked above on {8,9}

simply put... if candidate 8 and 9 do not exist in r6c8 then the UR is forced to exist...
therefore, any other candidates in r6c8 cannot exist, this eliminates the 2,3 and 4 from r6c8 and solves the puzzle.
-----

this alternative way of viewing the UR is, for my money, easier than noticing that the {1,3,4} naked triple in column 8 exists because of the UR.
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