In high school, I won those "Mathletes" competitions for all grade levels a few years in a row-- not really due to any innate mathematical talent, but really just an OCD ability to lock into problems and solve them systematically. At the same time, I'm one of the biggest art-farts you'll ever meet. I think composing music really offers me the ideal balance between analytical thinking and intuition. I use techniques that might seem incredibly technical and tiresome to most (right now I'm writing a piece of music that has a section containing all possible all-interval tetrachords bootstapped together in dyads-- it took me weeks to figure out how), but I use artistic intuition to figure out how to form the "raw material" into gestures that are musically meaningful. Or I have an idea for some broad artistic effect, and then have to figure out what techniques I can use to realize it-- basically, a flash of inspiration becomes an exercise in problem-solving.