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rooks on a 3n x 3n chessboard

Source: 4-th Hungary-Israel Binational Mathematical Competition 1993

May 26, 2007
combinatorics unsolvedcombinatorics

Problem Statement

Find the largest possible number of rooks that can be placed on a 3n×3n3n \times 3n chessboard so that each rook is attacked by at most one rook.