MathDB
0141 combo geo 1st edition Round 4 p1

Source:

May 9, 2021
combinatoricsgeometry1st edition

Problem Statement

Given are 40044004 distinct points, which lie in the interior of a convex polygon of area 11. Prove that there exists a convex polygon of area 12003\frac{1}{2003}, included in the given polygon, such that it does not contain any of the given points in its interior.
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