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Breakdown of bulk-boundary correspondence in non-Hermitian(NH)topological systems with generalized inver?sion symmetries is a controversial issue.The non-Bloch topological invariants determine the existence of edge states,but fail to describe the number and distribution of defective edge states in non-Hermitian topological systems.The state-dependent topological invariants,instead of a global topological invariant,are developed to accurately characterize the bulk-boundary correspondence of the NH systems,which is very different from their Hermitian counterparts.At the same time,we obtain the accurate phase diagram of the one-dimensional non-Hermitian Su-Schrieffer-Heeger model with a generalized inversion symmetry from the state-dependent topo?logical invariants.Therefore,these results will be helpful for understanding the exotic topological properties of various non-Hermitian systems.