[Reincarnate]

I never took AIME/Putnam/etc because my high school sucked (I had never even heard of the Putnam until I had already gotten into college) but that shit def. looks hardasfuc.

EDIT: Actually, looking at this 2011 exam, this doesn't look horrible (though in HS I would have had a very different opinion). It's basically like having one shot at solving a couple tough conceptual PE problems and getting them all right. Incredibly hard, still.