An inverse problem about minimal zero-sum sequences over finite cyclic groups

Among the possible approaches we choose one with a strong emphasis on unsplittable sequences-intriguing objects generalizing the longest minimal zero-sum sequences over an abelian group. The unsplittable sequences over Cn with lengths in [⌊n/3⌋+3,⌊n/2⌋+1] prove capable of capturing the essence of our setting and deserve an explicit description.