A game of debt
Source: 2024 Nepal TST, P4 and The Golden Digits Contest, April 2024, P1
April 21, 2024
combinatoricsgeometrygame
Problem Statement
Vlad draws 100 rays in the Euclidean plane. David then draws a line and pays Vlad one pound for each ray that intersects. Naturally, David wants to pay as little as possible. What is the largest amount of money that Vlad can get from David?Proposed by Vlad Spătaru