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Putnam
1979 Putnam
B5
B5
Part of
1979 Putnam
Problems
(1)
Putnam 1979 B5
Source:
4/8/2022
In the plane, let
C
C
C
be a closed convex set that contains
(
0
,
0
)
(0,0)
(
0
,
0
)
but no other point with integer coordinates. Suppose that
A
(
C
)
A(C)
A
(
C
)
, the area of
C
C
C
, is equally distributed among the four quadrants. Prove that
A
(
C
)
≤
4.
A(C) \leq 4.
A
(
C
)
≤
4.
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