MathDB
Putnam 1979 B5

Source:

April 8, 2022
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Problem Statement

In the plane, let CC be a closed convex set that contains (0,0)(0,0) but no other point with integer coordinates. Suppose that A(C)A(C), the area of CC, is equally distributed among the four quadrants. Prove that A(C)≤4.A(C) \leq 4.
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