<p>HYPSM are going to be reaches for everyone, and more so for internationals. Your stats look fine, but nothing incredibly outstanding for HYPSM (I am talking about RSI, IMO, IPhO, unique stuff/combination of ECs and all that).</p>
<p>As a rule of thumb, take the overall admissions rate of top private universities and half that number to get the international admissions rate.</p>