MathDB
Regional Olympiad in Mexico.

Source: OMM

July 31, 2013
invariantalgorithmrotationcombinatorics unsolvedcombinatorics

Problem Statement

A board of 2n2n x 2n2n is colored chess style, a movement is the changing of colors of a 22 x 22 square. For what integers nn is possible to complete the board with one color using a finite number of movements?