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A VH+

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Tue Mar 10, 2009 6:32 pm    Post subject: A VH+ Reply with quote
An interesting one ...
Code:
Puzzle: M5125103sh(9)
+-------+-------+-------+
| . . . | 7 3 6 | 8 . . |
| 6 . . | 2 . . | . 3 7 |
| . . . | . . . | . 1 2 |
+-------+-------+-------+
| . . 6 | . . 8 | . 9 . |
| . 1 . | . . . | . 8 . |
| . 9 . | 6 . . | 1 . . |
+-------+-------+-------+
| 7 . . | . . . | . . . |
| . 8 1 | . . 7 | . . 3 |
| . 5 3 | 1 4 9 | . . . |
+-------+-------+-------+
Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Tue Mar 10, 2009 7:12 pm    Post subject: Reply with quote
2 w-wings
{4,5} r56c19

{2,8} r67c35

Last edited by storm_norm on Wed Mar 11, 2009 1:37 am; edited 2 times in total
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Tue Mar 10, 2009 8:04 pm    Post subject: Reply with quote
Since we were talking about pincer transport:

After basics:
Code:
+----------------+----------------+----------------+
| 1    2    5    | 7    3    6    | 8    4    9    |
| 6    4    89   | 2    89   1    | 5    3    7    |
| 89   3    7    | 48@  589  45#  | 6    1    2    |
+----------------+----------------+----------------+
| 34-5 7    6    | 34@  1    8    | 2    9    45%   |
| 45&  1    24   | 9    7    245* | 3    8    6    |
| 3458 9    248  | 6    25   2345 | 1    7    45   |
+----------------+----------------+----------------+
| 7    6    49   | 38   28   23   | 49   5    1    |
| 49   8    1    | 5    6    7    | 49   2    3    |
| 2    5    3    | 1    4    9    | 7    6    8    |
+----------------+----------------+----------------+

The cells @ are a strong link on <4>, making the W-wing whose pincers #% eliminate <5>. One, or both, of #% are <5>.

Now, if # is <5>, * (in C6) is not <5>, and & (in R5) is <5>. So, %& are also pincers, making the elimination shown.

My original solution was similar to Norm's, but in three steps: There is an XYZ-wing that takes out <5> in R6C6. Then, Norm's first W-wing. That opens the %& W-wing without pincer transport.

Keith
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
PostPosted: Tue Mar 10, 2009 11:48 pm    Post subject: vh Reply with quote
An xyz-wing (245) eliminates <5> in R6C6, then an xy-chain eliminates the <5> in R6C9 to finish off the puzzle.

Earl
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