olymmath

RU-ALLRUSSIAN 1963 Problem 7

    (a) A 6×66 \times 6 board is tiled with 2×12 \times 1 dominos. Prove that we can always divide the board into two rectangles each of which is tiled separately (with no domino crossing the dividing line).

    #(b) Is this true for an 8×88 \times 8 board?

    Dataset text NuminaMath olympiads. Quoted with source.

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