list with an even number of integers
Source: Argentina 1998 OMA L3 p1
May 13, 2024
combinatoricsnumber theory
Problem Statement
Jorge writes a list with an even number of integers, not all equal to (there may be repeated numbers). Show that Martin can cross out a number from the list, of his choice, so that it is impossible for Jorge to separate the remaining numbers into two groups in such a way that the sum of all the numbers in one group is equal to the sum of all the others. numbers from the other group.