numbers on 1000 arcs - All-Russian MO 2001 Regional (R4) 10.8
Source:
September 26, 2024
combinatoricscombinatorial geometry
Problem Statement
There are a thousand non-intersecting arcs on a circle, and on each of them contains two natural numbers. Sum of numbers of each arc is divided by the product of the numbers of the arc following it clockwise arrow. What is the largest possible value of the largest number written?