(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]

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

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Write Programs in Python:1. Recursive Power MethodDesign a function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised, and the exponent. Assume the exponent is a non-negative integer.2. Ackermann's FunctionAckermann's Function is a recursive mathematical algorithm that can be used to test how well a system optimizes its performance of recursion. Design a function ackermann(m, n), which solves Ackermann's function. Use the followin

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Floyd-Warshall Algorithm For Using Dynamic Programming | Simplilearn