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Putnam 2016 B3

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December 4, 2016
PutnamPutnam 2016Putnam geometrycombinatorial geometry

Problem Statement

Suppose that SS is a finite set of points in the plane such that the area of triangle △ABC\triangle ABC is at most 11 whenever A,B,A,B, and CC are in S.S. Show that there exists a triangle of area 44 that (together with its interior) covers the set S.S.
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