Multisource shortest paths.Develop an API and implementation that uses Dijkstra’s algorithm to solve the multisourceshortest-paths problem on edge-weighted digraphs with positive edge weights: given a setof sources, find a shortest-paths forest that enables implementation of a method that returns to clients the shortest path from any source to each vertex. Hint: Add a dummy vertex with a zero-weight edge to each source, or initialize the priority queue with all sources, with their distTo[] entries set to 0.
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