MathDB

087

Part of 1967 All Soviet Union Mathematical Olympiad

Problems(1)

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

Source:

6/20/2019
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.
combinatoricscombinatorial geometry