MathDB

081

Part of 1966 All Russian Mathematical Olympiad

Problems(1)

ASU 081 All Russian MO 1966 100 points on plane, family circles

Source:

6/19/2019
Given 100100 points on the plane. Prove that you can cover them with a family of circles with the sum of their diameters less than 100100 and the distance between any two of the circles more than one.
combinatoricscombinatorial geometry