I mean, it also illustrates how training and systematic reasoning can improve these things. Whether explicitly or implicitly, I picked up certain skills and pro

I mean, it also illustrates how training and systematic reasoning can improve these things. Whether explicitly or implicitly, I picked up certain skills and procedures for problem solving (from programming and math contests) that I now use by default. Trying a bunch of examples, coming up with a hypothesis, trying to disprove it, testing edge cases… This doesn't mean I always use these—at the very least, I have to explicitly jump into "problem solving" mode—but it means they can be useful. It's still a meaningful difference, and could very well apply to lots of things beyond this kind of puzzle.