olymmath

USAMO 2007 Problem 2

  • Day 1

A square grid on the Euclidean plane consists of all points (m,n)(m,n) , where mm and nn 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 55 ?

Dataset text AI-MO AoPS. Quoted with source.

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