42

Part of 1990 IMO Longlists

Problems(1)

Find n points such that the sum is maximal - ILL 1990 ITA1

Source:

n

p_1, p_2, \ldots, p_n

on the circumference of a unit circle, such that

\sum_{1\leq i< j \leq n} p_i p_j

inequalitiesgeometry unsolvedgeometry