In this paper, we introduce and study the approximate string matching problem under non-overlapping inversion distance. Given a text t, a pattern p and a non-negative integer k, the goal of the problem is to find all locations in the text t that match the pattern p with at most k non-overlapping inversions. As a result, we use the dynamic programming approach to design an algorithm that solves this problem in O(nm2) time and O(m2) space, where n is the length of the text and m is the length of the pattern.
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