Smallest number of zeros
Source: Problem 6 of Russian Regional Olympiad 2011 grade 10 day 2
September 1, 2011
algebra proposedalgebracombinatorics
Problem Statement
2011 numbers are written on a board. For any three numbers, their sum is also among numbers written on the board. What is the smallest number of zeros among all 2011 numbers?
(Author: I. Bogdanov)