MathDB

3

Part of 2016 Azerbaijan Junior Mathematical Olympiad

Problems(1)

combinatorics problem

Source:

1/23/2016
6565 distinct natural numbers not exceeding 20162016 are given. Prove that among these numbers we can find four a,b,c,da,b,c,d such that a+b−c−da+b-c-d is divisible by 2016.2016.
combinatorics