Simple deterministic O(n log n) algorithm finding a solution of Erdős-Ginzburg-Ziv theorem

08/16/2022

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by   Seokhwan Choi, et al.

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Erdős-Ginzburg-Ziv theorem is a famous theorem in additive number theory, which states any sequence of 2n-1 integers contains a subsequence of n elements, with their sum being a multiple of n. In this article, we provide an algorithm finding a solution of Erdős-Ginzburg-Ziv theorem in 𝒪(n log n) time. This is the first known deterministic 𝒪(n log n) time algorithm finding a solution of Erdős-Ginzburg-Ziv theorem.