An optimization version of the Galactic Shortest-Path problem in the homework isdescribed as follows. Let G = (V, E) be a connected undirected graph in which each edge e \in Ehas an integer length l(e) >= 0 and an integer risk r(e) >= 0 Suppose s is the source node andt is the destination node. For any s - t path in G, its total length (resp., risk) is the sum of thelengths (resp., risks) of all its edges. An s-t path is said to be safe if its total risk is at mosta given positive integer R. The goal is to find a shortest safe s-t path if there is any. Give anO (ER)-time dynamic programming algorithm for solving this problem

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