The sets {x+n : n in Z} where x in R are almost entirely sets comprised of only noncomputable elements. We don’t even need AoC to choose an element from each:

The sets {x+n : n in Z} where x in R are almost entirely sets comprised of only noncomputable elements. We don’t even need AoC to choose an element from each: pick the smallest positive element (the element in (0,1]). There is nothing special about noncomputable set elements.