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Regional Olympiad - FBH 2017 Grade 10 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2017

September 19, 2018
arithmetic meanSetsnumber theorycombinatorics

Problem Statement

Let SS be a set of nn distinct real numbers, and ASA_S set of arithemtic means of two distinct numbers from SS. For given n≥2n \geq 2 find minimal number of elements in ASA_S
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