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Wireless sensor networks have posed a number of challenging problems such as localization, deployment and tracking, etc. One of the interesting problems is the calculation of the coverage path for sensor networks. In this paper, we design a localized algorithm to solve the worst coverage problem first introduced by Meguerdichian et al. All nodes cooperate to construct the worst coverage path with their one-hop neighbors information. Also, the correctness of the algorithm is proved under the diminishing model formally.