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(188) 1

Part of 1988 Tournament Of Towns

Problems(1)

TOT 188 1988 Autumn J1 , -1 or 1 on eeach vertex of cube, sum of 14 numbers=0

Source:

5/20/2020
One of the numbers 11 or āˆ’1-1 is assigned to each vertex of a cube. To each face of the cube is assigned the integer which is the product of the four integers at the vertices of the face. Is it possible that the sum of the 1414 assigned integers is 00?
(G. Galperin)
combinatoricscube