International student - any kind of suggestion greatly appreciated

<p>Hello everyone,</p>

<p>I’m currently studying mathematics and physics (1st year both, I’m actually studing at two universities) with a plan of continuing my studies in the U.S. after gaining B.Sc. here. My top choices are Harvard, Princeton (great for physics as far as I know) and MIT. Getting admitted there would be a lifelong dream coming true.</p>

<p>I need a list of all possible things that could boost my chances, and that have been shown to be useful. Is winning a medal at the IMC (International Mathematics Competition) or Vojtech (another math contest) something important? </p>

<p>I’m willing to work as hard as it takes, doesn’t matter :). All i want is to either get admitted to harvard or be able to say: “I didn’t make it, but I’ve done anything that was in my power”.</p>

<p>So basically, I’m looking forward to answers.
Thank you VERY much in advance. :D</p>