Input (grade 12): He studied mathematics before switching to the Massachusetts Institute of Technology where he obtained dual bachelor's degrees in mathematics and physics in 1966 and a Ph. D. in particle physics in 1970.
Output (grade 10): He studied mathematics for some time before going to the Massachusetts Institute of Technology where he was awarded two bachelors degrees for mathematics and physics in 1966, and a Ph. D. in particle physics in 1970.