> problem's phrasing is much closer to the modulo implementation But I take the problem description as only describing a specification of what output is wanted

> problem's phrasing is much closer to the modulo implementation But I take the problem description as only describing a specification of what output is wanted, I don't think it's intended as a guidelines of how it should be implemented internally. If teams I've been on ever implemented things as some of our clients imagined they would work (which we had to sit through while trying to coerce some coherent requirements from them) we'd have been in a world of hurt :)