MathDB
Hunter rabbit makes a comeback

Source: India IMOTC 2024 Day 1 Problem 1

May 31, 2024
combinatoricsindiacombinatorial geometry

Problem Statement

A sleeping rabbit lies in the interior of a convex 20242024-gon. A hunter picks three vertices of the polygon and he lays a trap which covers the interior and the boundary of the triangular region determined by them. Determine the minimum number of times he needs to do this to guarantee that the rabbit will be trapped.
Proposed by Anant Mudgal and Rohan Goyal