MathDB
0522 combo geo 5th edition Round 2 p2

Source:

May 6, 2021
combinatorics5th edition

Problem Statement

Suppose that {Dn}n1\{D_n\}_{n\ge 1} is an finite sequence of disks in the plane whose total area is less than 11. Prove that it is possible to rearrange the disks so that they are disjoint from each other and all contained inside a disk of area 44.