HPMS are high reaches, but they are for everyone and you are a competitive applicant so you have a shot at at least one I’d say. Cornell, Penn, Columbia are low reaches. Wash U and CMU are high matches and Case, U Rochester and SUNY are matches. Best of luck!
Take a look at my thread if you could please 
http://talk.collegeconfidential.com/what-my-chances/1743297-ecs-will-chance-back.html#latest