Difference between revisions of "2007 USAMO Problems/Problem 2"
Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
+ | |||
+ | A square grid on the Euclidean plane consists of all points <math>(m,n)</math>, where <math>m</math> and <math>n</math> 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? | ||
== Solution == | == Solution == | ||
− | |||
{{USAMO newbox|year=2007|num-b=1|num-a=3}} | {{USAMO newbox|year=2007|num-b=1|num-a=3}} |
Revision as of 16:57, 25 April 2007
Problem
A square grid on the Euclidean plane consists of all points , where and 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?
Solution
2007 USAMO (Problems • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |