  To any Young diagram we can associate the multiset of residues of all its
nodes. This paper is concerned with the inverse problem: given a multiset of
elements of Z/eZ, does it comes from a Young diagram? We give a full solution
in level one and a partial answer in higher levels for Young multidiagrams,
using Fayers's notions of core block and weight of a multipartition. We apply
the result in level one to study a shift operation on partitions.
