MathDB

Each of the points

G

and

H

lying from different sides of the plane of hexagon

ABCDEF

is connected with all vertices of the hexagon. Is it possible to mark 18 segments thus formed by the numbers

1, 2, 3, \ldots, 18

and arrange some real numbers at points

A, B, C, D, E, F, G, H

so that each segment is marked with the difference of the numbers at its ends?
Proposed by A. Golovanov

Problem Statement