olymmath

BALTIC-WAY 2003 Problem 18

    Every integer is coloured with exactly one of the colours BLUE, GREEN, RED, YELLOW. Can this be done in such a way that if a,b,c,da, b, c, d are not all 0 and have the same colour, then 3a−2b≠2c−3d3 a-2 b \neq 2 c-3 d ?

    Dataset text NuminaMath olympiads. Quoted with source.

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