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Another creative remote pair

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keith

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

Posted: Sat Mar 01, 2008 4:41 pm Post subject: Another creative remote pair

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 )

Earl

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

Posted: Sat Mar 01, 2008 5:21 pm Post subject: pairs

Swordfish 8, skyscraper 9. Earl

ravel

Joined: 21 Apr 2006
Posts: 536

Posted: Sat Mar 01, 2008 6:05 pm Post subject:

Wow, you look for swordfish before skyscraper (which alone solves it) ? Of course in the moment i prefer the remote pair solution

keith

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

Posted: Sat Mar 01, 2008 6:23 pm Post subject:

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

nataraj

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

Posted: Sat Mar 01, 2008 6:38 pm Post subject:

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

keith

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

Posted: Sun Mar 02, 2008 9:06 am Post subject:

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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