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That's not a bad proposal collegealum; it's certainly a worthy recommendation. However, I'm going to have to disagree with you on this (I myself have participated in various mathematical and physics olympiads).
Some USAMO qualifiers probably can't handle the MIT/Caltech curriculum because of the pure virtue that not all USAMO qualifiers are mathematically motivated. Some qualifiers qualify on a whim - taking the AMC series tests out of superficial interest. Some qualifiers absolutely despise mathematics altogether.
Also, let us not point out the fact that a large number of USAMO qualifiers are recent immigrants from Asia. A lot of qualifiers I've met have pretty bad writing and communication skills. Some qualifiers I know are only good at mathematics - they don't really excel in any other areas.
I don't think these types would fit into the MIT/Caltech environments well.
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