C2 根本不知道
used to emphasize that you do not know something
  "Is she going to stay?" "I haven't the faintest idea." “她要留下来吗?我一点儿也不知道。” 
 I don't have the faintest idea what you're talking about! 我根本不知道你在说什么! 
 Neither of them had the faintest idea of how to be a parent.
 As to what I'm going to do now, I haven't the faintest idea.
 I don't think Steve had the faintest idea about what was happening around him.
 See also: faint adjective (SLIGHT)