cutting up cube into unit cubes
Source: Mongolia MO 2000 Grade 10 P3
April 22, 2021
geometry3D geometrycombinatorics
Problem Statement
A cube of side is cut into unit cubes, and m of these cubes are marked so that the centers of any three marked cubes do not form a right-angled triangle with legs parallel to sides of the cube. Find the maximum possible value of .