Question: A verter-and-edge-weighted graph is a directed graph G (V,E) where each vertex u ? V has a cost c(e) and every edge ? ? E

A verter-and-edge-weighted graph is a directed graph G (V,E) where each vertex u ? V has a cost c(e) and every edge ? ? E has a weight w(e). The length of a path in G is the sum of the weights of the edges in the path and the cost of the vertices in the path. In the Single-Source Shortest Path (SSSP) problem on vertex-and-edge-weighted graphs, we are given G and a source vertex s and we want to determine the minimum length of a path from s to u for every u V. (Note that the minimum length of a path from s to s is c(s).) Solve the SSSP problem on vertex-and-edge-weighted graphs in the special case where all the weights and the costs are positive integers
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