(21.) Skyscrapers


It’s been a long time since I’ve last posted here, and I assure you I’ve been feeling guilty about it. University has been keeping me busy, and I sort of lost interest in pen-and-paper puzzles for a while, but in the past few months I’ve been trying to get back into it. Most of the puzzles I’ve made since I last posted were gifts for friends and family, and I haven’t yet decided whether I’m going to put them here.

Anyways, given that today is Finnish Independence Day, I made a puzzle to honour it. I thought I’d make a larger-than-usual Skyscrapers puzzle to challenge myself, since so far the largest Skyscrapers I’ve made have been 6×6-sized. Forcing uniqueness turned out to be a real chore.

021 Skyscrapers

Regular Skyscrapers rules.

(4.) Unique Sets

I noticed I forgot to specify a rule yesterday: the rule that numbers may not repeat within a region. I did correct it soon enough after posting the puzzle, though.

A version without a no-repeats rule could well be interesting as well: then, there’s a choice on how to interpret regions with repeated numbers.

  • The choice faithful to the name would be to ignore repeated numbers: for example. a region with {1, 1, blank} would have the same set as a region with just {1}.The example puzzle on the rules page actually solves under these rules as well (as does yesterday’s puzzle, unsurprisingly).
  • The other choice would be to consider them distinct: that is, the regions would be multisets. This would probably be the less interesting variant, but it could work well in sparser puzzles.

Anyways, today’s puzzle operates under the no-repeats rule.

004 Unique Sets 2

Standard Unique Sets rules.