MathDB
Poland 2017 P4

Source:

April 4, 2017
set theorycombinatorics

Problem Statement

Prove that the set of positive integers Z+\mathbb Z^+ can be represented as a sum of five pairwise distinct subsets with the following property: each 55-tuple of numbers of form (n,2n,3n,4n,5n)(n,2n,3n,4n,5n), where nāˆˆZ+n\in\mathbb Z^+, contains exactly one number from each of these five subsets.
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