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An easy diificult

 
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JV



Joined: 09 Jan 2011
Posts: 24
Location: Devon, England
PostPosted: Sun Feb 27, 2011 9:40 am    Post subject: An easy diificult Reply with quote
Menneske 1499018, rating 727
Code:

+-------------------+-----------------+-----------------+
| 148    1348  2    | 13789 5    134  | 3689 36789 4789 |
| 468    7     36   | 389   3489 2    | 1    5     489  |
| 1458   13458 9    | 1378  6    134  | 38   378   2    |
+-------------------+-----------------+-----------------+
| 3      156   4    | 1258  278  156  | 5689 6789  1789 |
| 2      156   8    | 135   37   9    | 356  4     17   |
| 1567   9     1567 | 4     38   1356 | 2    368   18   |
+-------------------+-----------------+-----------------+
| 14689  2     136  | 369   349  7    | 489  189   5    |
| 4589   3458  35   | 2359  1    345  | 7    289   6    |
| 145679 1456  1567 | 2569  249  8    | 49   129   3    |
+-------------------+-----------------+-----------------+

Play this puzzle online at the Daily Sudoku site

I'm posting this partly in support of a comment to Keith that Menneske ratings don't always match with difficulty. (I think it's one reason why I like these puzzles.) It would be perverse to use DPs here, & so I'm not bothering to post the original.)
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JV



Joined: 09 Jan 2011
Posts: 24
Location: Devon, England
PostPosted: Wed Mar 09, 2011 11:36 pm    Post subject: Reply with quote
I noticed some discussion of xy-loops fairly recently, & so speaking of the devil .... I suspect that people would find this puzzle boring: if you see the xy-loop, that's just about it. If you don't, it's probably dauntingly difficult.

Three questions.

I think that the loop does 6 deletions. Is that right?

It's easy to see in this case that you could accomplish the deletions with three separate chains. Is it always the case that you can split a loop like this?

As a matter of terminology, what exactly is a nice loop? And, come to that, what's the difference between loops & rings?
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