ASU 236 All Soviet Union MO 1977 numbers assigned to points, line sums 0
Source:
July 6, 2019
combinatoricscombinatorial geometryalgebra
Problem Statement
Given several points, not all lying on one straight line. Some number is assigned to every point. It is known, that if a straight line contains two or more points, than the sum of the assigned to those points equals zero. Prove that all the numbers equal to zero.