MathDB
0573 combo geo 5th edition Round 7 p3

Source:

May 6, 2021
combinatorics5th edition

Problem Statement

Given is a square of sides 37×373\sqrt7 \times 3\sqrt7. Find the minimal positive integer nn such that no matter how we put nn unit disks inside the given square, without overlapping, there exists a line that intersects 44 disks.