Chance me: HS Junior looking at Yale REA [CT resident, 4.0 UW, 1560 SAT, 35 ACT, Applied Math, <$30K]

Chance Me / Match Me
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except that those schools kinda suck (no offense)

Chance me for Harvard REA [4.0 UW, 1580 SAT, Math major, needs aid]. Should I apply early elsewhere?