IMO,
If one if 14 years old and staying up until 1 and getting up at 5 to do school work, then there is something seriously wrong. Then again, if I had that much work, I probably wouldn't be spending that much time on the internet, either.
By the way, it's the Hopkins CTY/CAA program has some really terrific courses/programs. I attended one of the camps at one point, and was later a TA.