what does Princeton want?

<p>This question, perhaps, has been asked way too many times, but here I am asking this anyway. I'm an international student with average (2030) SAT score. I have a perfect GPA (unweighted), and perfect SAT subject test scores (math2, chemistry) so far; I'll write physics this month and am hoping another perfect score. I have decent ECs. I'm a swimming coach. I've also been invited by NASA to present a project I submitted in an international conference. I play decent piano as well, though without any formal training. What are my chances for getting into Princeton? </p>