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There has been some interest recently in determining the longest distance onecan sail for on the earth without hitting land, as well as in the converseproblem of determining the longest distance one could drive for on the earthwithout encountering a major body of water. In its basic form, this is anoptimisation problem, rendered chaotic by the presence of islands and lakes,and indeed the fractal nature of the coasts. In this paper we present amethodology for calculating the two paths using the branch-and-bound algorithm.

Longest Straight Line Paths on Water or Land on the Earth