2 out of 2003 such their sum is not a divisor of the sum of other elements.
Source: 2003 Romania JBMO TST 3.3
June 1, 2020
number theorydivisorSumdividescombinatorics
Problem Statement
A set of positive integers is given. Show that one can find two elements such that their sum is not a divisor of the sum of the other elements.