olymmath

Putnam 1968 A4

  • Session A

Given nn points on the sphere {(x,y,z):x2+y2+z2=1}\{(x, y, z): x^2 + y^2 + z^2 = 1\}, find the upper bound of the sum of the squares of the distances between them in terms of nn.

Dataset text Putnam-AXIOM. Quoted with source.

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