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Suppose you are given a graph in which each vertex has a cost. The cost of a path from v to w is the sum

Suppose you are given a graph in which each vertex has a cost. The cost of a path from v to w is the sum of the costs of the interior vertices along the path (the costs of v and w are not included in the sum).

Design an algorithm to solve the all-pairs shortest path problem on this type of graph.

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