Mock AIME 2 2006-2007 Problems/Problem 15
A cube is composed of unit cubes. The faces of unit cubes are colored red. An arrangement of the cubes is Intriguing if there is exactly red unit cube in every rectangular box composed of unit cubes. Determine the number of Intriguing colorings.
4everwise did not write this problem. The souce cannot be revealed at this moment, as the contest is still running.