ASU 065 All Russian MO 1965 quasi-rounding n numbers
Source:
June 19, 2019
combinatoricsalgebra
Problem Statement
Quasi-rounding is a substitution one of the two closest integers instead of the given number. Given numbers. Prove that you can quasi-round them in such a way, that a sum of every subset of quasi-rounded numbers will deviate from the sum of the same subset of initial numbers not greater than .