"Lightbulb."

In 2010's Despicable Me, Gru (Steve Carell) plans to steal a superweapon from his rival super villain, Vector (Jason Segel).  However, all his attempts at stealing this weapon turn out to be massive failures. That is, until he has a moment of insight, as seen in this clip.  From here, he begins coordinating his nefarious plot.  This is quite similar to the moment of insight Andy has in The Shawshank Redemption. Both of these characters are attempting to solve a problem when they are struck by a "novel realization of the solution."  There was no warning that they were about to arrive at an answer.  Rather, both Andy and Gru were struck with solutions without even expecting it.