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BALKAN-SL 2016 C3

The plane is divided into unit squares by means of two sets of parallel lines. The unit squares are coloured in 1201 colours so that no rectangle of perimeter 100 contains two squares of the same colour. Show that no rectangle of size 1×12011 \times 1201 contains two squares of the same colour.

Dataset text NuminaMath olympiads. Quoted with source.

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