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Putnam 1992 B1

Source: Putnam 1992

July 18, 2022
PutnamAverageset theory

Problem Statement

Let SS be a set of nn distinct real numbers. Let ASA_{S} be the set of numbers that occur as averages of two distinct elements of SS. For a given n≥2n \geq 2, what is the smallest possible number of elements in ASA_{S}?
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