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ASU 087 All Soviet Union MO 1967 0,1,...,9 around a circle

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June 20, 2019
combinatoricscombinatorial geometry

Problem Statement

a) Can you pose the numbers 0,1,...,90,1,...,9 on the circumference in such a way, that the difference between every two neighbours would be either 33 or 44 or 55?
b) The same question, but about the numbers 0,1,...,130,1,...,13.
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