> I don't want to hire engineers who can only mimic.

How is a binary search not mimicry? Probably only 1 in a million people could figure out how to do it if they didn't already know how it is done elsewhere. The only reason most people know how binary search works is because they were taught it somewhere along the line.

Ask an interviewee how to Voronoi diagram the surface of a sphere or something. Then you'll see how things look when people don't do mimicry. You don't get original ideas by asking first-semester programming puzzles.