set of integers with property
Source: Yugoslav TST 1976 P2
May 29, 2021
number theorycombinatorics
Problem Statement
Assume that positive integers satisfy the following: If we remove any of these integers, the remaining integers can be partitioned in two groups of numbers in each, such that the sum of the numbers in one group is equal to the sum of the numbers in the other. Prove that all of these numbers must be equal.