olymmath

JBMO-SL 2010 C2

A 9×79 \times 7 rectangle is tiled with pieces of two types, shown in the picture below.

Find the possible values of the number of the 2×22 \times 2 pieces which can be used in such a tiling.

Dataset text NuminaMath olympiads. Quoted with source.

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0 \text{ or } 3

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