MathDB
sum of products of 4 numbers at vertices of a cube, with 1 or -1 assigned

Source: Polish second round 1994 p4

January 19, 2020
cubecombinatoricscombinatorial geometry

Problem Statement

Each vertex of a cube is assigned 11 or āˆ’1-1. Each face is assigned the product of the four numbers at its vertices. Determine all possible values that can be obtained as the sum of all the 1414 assigned numbers.