RU-ALLRUSSIAN 1967 Problem 4
(a) Can you arrange the numbers 0, 1, ..., 9 on the circumference of a circle, so that the difference between every pair of adjacent numbers is 3, 4 or 5? For example, we can arrange the numbers 0, 1, ..., 6 thus: 0, 3, 6, 2, 5, 1, 4.
(b) What about the numbers 0, 1, ..., 13?
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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