What are my chances to these top universities ??

<p>I am an international student here in USA. I am freshman this year, and I want to apply to some universities are need-blind and full-need for all applicants</p>

<p>Amherst College[2]
Dartmouth College [3]
Harvard University
MIT
Princeton University[4]
Yale University
..... But I am not sure whether I can get admitted or not :S
Here is my profile:
I am from Azerbaijan, and I am seventeen(Will be 18 in December 30)
TOEFL Score 99 ... R:23 L:26 S:23 W:27
SAT 1 Score 1820 ... CR:490 M:740 W:590
SAT 2 Score I have exam in October, Math level 2 and Physics ... I think I can get (800,750+)
My major is Computer Science.
My GPA in high school was 5 out of five
I got full scholarship from my school (10 and 11 grades) because of my accomplishments like:
International Math Olympiad - 2009, 2010, 2011 - Silver, Silver, Bronze
Balkan Math Olympiad - 2010, 2011 - Bronze, Bronze
National Math Olympiad 2009, 2010, 2011 - Gold, Gold, Gold
Asian Pacific Math Olympiad - 2010,2011 - Silver, Bronze
I am going to participate at this Putnam Math Exam (December 3rd, contest between US and Canadian universities)
I believe that I can get an excellent recommendation letter from my maths professor
And I think that's all :S
Thanks in advance
P.S: if you know some other universities in US which can give full scholarship for International Students, please tell me :)</p>