MathDB
numbers 1-8 at vertices of cube - All-Russian MO 2003 Regional (R4) 8.5

Source:

September 17, 2024
combinatoricscombinatorial geometryabsolute value

Problem Statement

Numbers from1 1 to 88 were written at the vertices of the cube, and on each edge the absolute value of the difference between the numbers at its ends.. What is the smallest number of different numbers that can be written on the edges?