(a) Run the Floyd-Warshall algorithm on the weighted, directed graph given in Figure 4. Show the matrix D^(k) that result for EACH iteration of the outer loop. [15 points]12123-42-1710-854563Figure 4(b) Use Johnson's algorithm to find the shortest paths between all pairs of vertices in Figure 4. Show the values of h and wh computed by the algorithm in a tabular form. [15 points]

How would you modify the Floyd-Warshall algorithm on a weighted, directed graph G = (V,E) to solve the following problems? Carefully justify your answer in each case:a) Find the number of shortest paths between each pair of vertices.b) Find the number of simple paths of even length and of odd length between each pair of vertices.

Floyd Warshall Algorithm | All Pairs Shortest Path | Dynamic Programming - SlideServe

Floyd-Warshall Algorithm For Using Dynamic Programming | Simplilearn