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Here is an interesting puzzle genre.
It is called Kjarposko.
You can read more about it at here.
You can also try the daily problem here.

Note: I do not create this puzzle genre.

Hi!

Interesting. We currently have a genre in the pipeline which is essentially the same, although our implementation gives a bit less freedom, because of extra constraints on which subsets of numbers can be given.

If we would want to drop all constraints (like in Kjarposko there is some hidden constraint, since at some point things could become too cluttered with all the lines), I guess it would best look like something like this:

Code:

 A B C  sum
 +   +   3
 + +     5
   + +   4

But Kjarposko and the genre in the pipeline might be more suitable for sparse objects.