2018 numbers on a circle, labeled with an integer, > sum of 2 preceding, max
Source: 49th Austrian Mathematical Olympiad National Competition (Final Round, part 2) 1st June 2018 p5
May 25, 2019
combinatoricsnumber theory
Problem Statement
On a circle points are marked. Each of these points is labeled with an integer.
Let each number be larger than the sum of the preceding two numbers in clockwise order.
Determine the maximal number of positive integers that can occur in such a configuration of integers.(Proposed by Walther Janous)