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Problems
Contests
National and Regional Contests
PEN Problems
PEN R Problems
6
6
Part of
PEN R Problems
Problems
(1)
R 6
Source:
5/25/2007
Let
R
R
R
be a convex region symmetrical about the origin with area greater than
4
4
4
. Show that
R
R
R
must contain a lattice point different from the origin.
geometry
The Geometry of Numbers