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04 March 2009 @ 08:57 am
KenKen for 3/4/09 - The Great Divide  
Aside from one of the initial KenKen releases in the London Times (#18 I believe, which had a long outer border 44+ in ~14 cells), the next largest region I've ever seen in a KenKen is a 5 (one time) and then some 4's in some tough ones but mostly just 3 and 2 and 1. This may come from the fact the first 2 books were hand-written and then the rest were computer-generated with a not yet interesting puzzle generator that doesn't like taking things to a different level (or at least is scared of pentominoes).

I find a lot of the potential logical interest in KenKen would come from exploring larger shapes that interact with others in different ways. A commenter suggested no operations made a harder puzzle. Well, in this grid, there is one large operation but it is certainly not what's going on there in a now record 16 cell region.

This is a Wednesday, 6x6 Mediumer puzzle (if Easy and Hard aren't acceptable descriptions for KenKen elsewhere, then Medium isn't an acceptable description for me here).




Rules: Same as normal KenKen, fill one to six in each row/column so each digit is used exactly once. The numbers in the upper-left of each bolded region indicate the value for some operation (+,-,*,/) applied within each cell of that region but the identity of the operation is left as an exercise for the reader.
 
 
( Read 18 commentsLeave a comment )
(Anonymous) on March 4th, 2009 11:12 pm (UTC)
Vaguely entertaining, much more so than anything I've seen in the Times here - although having to look up prime factorisations to kick start everything seems a teeny bit artificial.

On the other hand, if you do that by hand, your title 'The Great Divide' becomes excellent - reflecting accurately how you solve the puzzle whilst underlining a long and cumbersome calculation!

Tom.C
motrismotris on March 4th, 2009 11:17 pm (UTC)
You don't. This is why I had the wrong value there initially. Take away that big number and let me mark it like this: "its odd and its a multiplication region". The value is immaterial.

My solution involved identifying lots of obviously even cells to figure out the forced identities of the two non-divide corners (the only odds not in the great divide). I don't like factorization problems at all. Thanks for pointing out the alternate meaning to the title though. That explains why no one else commented I had the / as a \ when I first posted it. I'd not concerned that possibility, but then I just wanted to write a themed puzzle where odds and evens were identifiable quickly and then you got down to business.
(Anonymous) on March 4th, 2009 11:17 pm (UTC)
p.s. the one flaw with leaving the operations blank is that division and subtraction are not associative. On t'other hand, I've seen some truly evil puzzles which have been made of only 2-cages. Maybe something for Friday - though I think it'd be tougher to add a notably human touch (as opposed to something a computer could generically generate) to something like that...