On a variant of the Erdős-Ginzburg-Ziv problem

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Département de Mathématiques, Université de Bretagne Occidentale, 6 avenue Victor Le Gorgeu, B.P. 809, 29285 Brest Cedex, France
Département de Mathématiques, Université de Saint-Etienne, 23 rue du Dr Paul Michelon, 42023 Saint-Etienne Cedex 2, France
Department of Mathematics, University of Helsinki, PL 4 (Yliopistonkatu 5), 00014 Helsingin Yliopisto, Finland

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