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TT2008 Junior A-Level - P1

Source:

September 4, 2010
combinatorics unsolvedcombinatorics

Problem Statement

100100 Queens are placed on a 100×100100 \times 100 chessboard so that no two attack each other. Prove that each of four 50×5050 \times 50 corners of the board contains at least one Queen.
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