The input to this problem is a sequence of n points p1;


; pn in the Euclidean plane. You are to nd the shortest routes for two taxis to service these requests in order. The two taxis start at the origin p1. If a taxi visits a point pi before pj then it must be the case that i < j. Each point must be visited by one of the two taxis. The cost of a routing is the total distance traveled by the rst taxi plus the total distance traveled by the second taxi. Design an ecient dynamic programming algorithm to nd the minimum cost routing such that each point is covered by one of the two taxis

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