Usually proposed problems are deductive, that is to say, they ask for any construction satisfying a property class P. Indeed all solutions are pairwise analogous, since they have the common property class P.
The converse question would be to ask for those constructions that do not satisfy a certain property class P; therefore any solution must be creative and non-analogous to those satisfying P.
It is worth noticing that creativity is the main skill of intelligent systems.
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