Princeton University?

The problem with Princeton is that about 40% of admissions are legacies, 20% are recruited athletes, 10% are "underrepresented minorities", and 10% are international students. With rounding, 22% of a recent cl were regular applicants. As you are an immigrant, you will not qualify as an international student, so unless you can be recruited as a swimmer, your chance of admision is well under 5% even though you have excellent qualifications.