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Another creative remote pair

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sat Mar 01, 2008 4:41 pm    Post subject: Another creative remote pair Reply with quote

Code:
Puzzle: MM022908
+-------+-------+-------+
| . . . | . 6 2 | . . 5 |
| . . . | . 9 . | . 4 . |
| . 2 . | 1 . 5 | . 7 . |
+-------+-------+-------+
| 4 . . | 9 . . | . . . |
| . 6 7 | . . . | 2 3 . |
| . . . | . . 3 | . . 7 |
+-------+-------+-------+
| . 5 . | 2 . 6 | . 1 . |
| . 9 . | . 1 . | . . . |
| 6 . . | 7 8 . | . . . |
+-------+-------+-------+


Enjoy! Keith

(It is the competition puzzle from http://www.sudoku.org.uk )
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Sat Mar 01, 2008 5:21 pm    Post subject: pairs Reply with quote

Swordfish 8, skyscraper 9.

Earl
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Sat Mar 01, 2008 6:05 pm    Post subject: Reply with quote

Wow, you look for swordfish before skyscraper (which alone solves it) ?

Of course in the moment i prefer the remote pair solution Smile
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sat Mar 01, 2008 6:23 pm    Post subject: Reply with quote

ravel wrote:
Of course in the moment i prefer the remote pair solution Smile

After basics:
Code:
+----------------+----------------+----------------+
|13-8-9 7   4    | 38   6    2    | 138  89c   5    |
| 1358 18   56   | 38   9    7    | 1368 4    2    |
| 38   2    69   | 1    4    5    | 38   7    69   |
+----------------+----------------+----------------+
| 4    3    2    | 9    7    18   | 68   5    16   |
| 89a  6    7    | 4    5    18   | 2    3    19   |
| 1589 18   59   | 6    2    3    | 4    89b  7    |
+----------------+----------------+----------------+
| 7    5    8    | 2    3    6    | 9    1    4    |
| 2    9    3    | 5    1    4    | 7    6    8    |
| 6    4    1    | 7    8    9    | 5    2    3    |
+----------------+----------------+----------------+

a and b must have the same value (they share the same unsolved peers. R6C123). Thus a and c are a remote pair, and you can take out <89> in R1C1.

Keith
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Sat Mar 01, 2008 6:38 pm    Post subject: Reply with quote

ravel wrote:
Wow, you look for swordfish before skyscraper (which alone solves it) ?


Maybe check 8 before checking 9?

I know I do, unless I happen to spot something real obvious Smile

The remote pair solution is, of course, very elegant, even if it has that faint touch of (xy-)chains (and even grouped not quite xy-chains, for that matter), doesn't it Laughing ?
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Mar 02, 2008 9:06 am    Post subject: Reply with quote

nataraj wrote:
ravel wrote:
Wow, you look for swordfish before skyscraper (which alone solves it) ?


Maybe check 8 before checking 9?

I know I do, unless I happen to spot something real obvious Smile

The remote pair solution is, of course, very elegant, even if it has that faint touch of (xy-)chains (and even grouped not quite xy-chains, for that matter), doesn't it Laughing ?

Nataraj,

With pencil and paper, I look for opportunities in the cells with the fewest unsolved candidates. With software, I might look through 1 - 9 in that order.

I don't think the remote pair has a "faint touch". It follows on the discussion we have been having about W-wings, M-wings, etc. Of course, it all comes down to finding chains by recognizing a pattern. Which is, simply, a systematic way to find chains.

Pretty cool Cool and, in my mind, absolutely legal.

Keith
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