Question: In this question, we develop a shortest path algorithm for a specific type of graph. In a grid graphthere are n = k nodes labeled

In this question, we develop a shortest path algorithm for a specific type of graph. In a grid graphthere are n = k nodes labeled vi,j where i and j range between 1 and k. For each i < k there isa "down" edge of length di,j from Vi,j to Vi+1,j. For each j < k there is an "across" edge of lengthai,j from vi,j to Vi,j+1. For example, a possible graph for n =9 is

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