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Puzzle 10/03/22 (B)

dailysudoku.com Forum Index -> Puzzles by daj

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Mon Mar 22, 2010 3:02 pm Post subject: Puzzle 10/03/22 (B)

Code:

+-----------------------+
| 8 . . | . . . | . . . |
| . 2 1 | . . 9 | . 7 . |
| . 9 7 | . 8 . | . . 4 |
|-------+-------+-------|
| . . . | 5 . . | . . . |
| . . 8 | . 6 . | . 3 7 |
| . 6 . | . . . | 5 . . |
|-------+-------+-------|
| . . . | . . 8 | 2 . 6 |
| . 8 . | . 1 . | . 5 . |
| . . 6 | . 4 . | 1 . 8 |
+-----------------------+

Play this puzzle online at the Daily Sudoku site

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Mon Mar 22, 2010 10:07 pm Post subject:

Code:

+----------------------+--------------------+-------------+
| 8 34 345 | 12467 25 12567 | 9 126 12 |
| 46 2 1 | 46 3 9 | 8 7 5 |
| 56 9 7 | 126 8 1256 | 3 126 4 |
+----------------------+--------------------+-------------+
| 123479 1347 2349 | 5 279 34 | 6 8 129 |
| 29 5 8 | 129 6 12 | 4 3 7 |
| 123479 6 2349 | 8 279 34 | 5 12 129 |
+----------------------+--------------------+-------------+
| 1359(7) 13(7) 359 | -9(37) 59 8 | 2 4 6 |
| 249 8 249 | 269 1 26 | 7 5 3 |
| 25-37 (37) 6 | 27(3) 4 257 | 1 9 8 |
+----------------------+--------------------+-------------+

m-ring
(7=3)r9c2 - (3)r9c4 = (3-7)r7c4 = (7)r7c12
r9c1 <> 3,7
r7c4 <> 9

xy-wing {2,5,9} finishes removes 9 from r46c3 and r7c1

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Wed Mar 24, 2010 3:33 pm Post subject:

I used an X-Wing (5), ER (9) and XY-Wing (259). I don't know what an M-Ring is. I can see how the 37 M-Wing eliminates the 3 from r9c1, but not the rest.

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Thu Mar 25, 2010 6:48 pm Post subject:

Marty R. wrote:

I don't know what an M-Ring is. I can see how the 37 M-Wing eliminates the 3 from r9c1, but not the rest.

An M-Ring is an M-Wing where the chain also forms a continuous loop. Strmckr provides a reference here. Because it's a continuous loop, additional eliminations are possible -- especially in the third cell of the chain because the loop always forced it to be a bivalue. This explains Norm's elimination r7c4<>9.

The continuous loop occurs in the green link that I added to Norm's chain.

(7=3)r9c2 - (3)r9c4 = (3-7)r7c4 = (7)r7c12 - (7)r9c2

Regards, Danny

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