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Science of Chess - Achtung! Einstellung!

water jugs problem generalized.

while there was the first problem solution, that could also work in the second problem, but was not the only solution (ok, one faster, but first, another solution), there might have been a scheme of solution, or method of finding the solution , that could have been an abstraction level, that one solver would first have thought about, that would give the second solution more easily as one changes the gamut of finite volumes available.

that one individual would have been slow solving in both cases, but might have solves a string of similar problems, similar at another level. that of the family of problem with finite size and gamut of those, within working memory juggling capacity for all.