MathDB
among any k positive integers, one may select even number with sum s, n|s

Source: 2022 NZMO - New Zealand Maths Olympiad Round 1 p6

October 8, 2022
number theorydivisibleSum

Problem Statement

Let a positive integer nn be given. Determine, in terms of nn, the least positive integer kk such that among any kk positive integers, it is always possible to select a positive even number of them having sum divisible by nn.
Back to ProblemsView on AoPS