MathDB
numbers 1-n on the circumference of a circle

Source: Eotvos 1928 p2

September 10, 2024
combinatorics

Problem Statement

Put the numbers 1,2,3,...,n1,2,3,...,n on the circumference of a circle in such a way that the difference between neighboring numbers is at most 22. Prove that there is just one solution (if regard is paid only to the order in which the numbers are arranged).