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Found problems: 1

2007 USAMO, 2
Tags: combinatorial geometry , geometry , soddy , combinatorics
A square grid on the Euclidean plane consists of all points $(m,n)$, where $m$ and $n$ are integers. Is it possible to cover all grid points by an infinite family of discs with non-overlapping interiors if each disc in the family has radius at least $5$?