MathDB
ASU 367 All Soviet Union MO 1983 2m+1 integers with abs.value <=2m-1

Source:

July 28, 2019
combinatoricsnumber theory

Problem Statement

Given (2m+1)(2m+1) different integers, each absolute value is not greater than (2māˆ’1)(2m-1). Prove that it is possible to choose three numbers among them, with their sum equal to zero.