I think the counterintuitive aspect of problem solving at that level is how nondeterministic it is. It is no doubt that learning everything you can about a prob

I think the counterintuitive aspect of problem solving at that level is how nondeterministic it is. It is no doubt that learning everything you can about a problem is critical to setting yourself up for being able to solve it, but this can happen a lot earlier than when someone burns out on a problem.