[Solved]1 25 Optional Two Required Ford Fulkerson Max Flow Programming Write Program Java Implemen Q37193804

Please use Java to solve it.

1. (25: optional after two required) [Ford-Fulkerson max-flow programming] Write a program in Java that implements the Ford-Fulkerson maximum flow algorithm shown below, and run it against the flow network shown below. Make a random choice of an augmenting path at each iteration. Your program code should maintain the structure of the algorithm and should include at least Max-Flow and Augment as separate routines. For convenience, a residual graph Gr can be created offline and provided as an input to Max-Flow. The flow network G and the residual network Gr can be represented in any data structure (e.g., adjacency list, adjacency matrix, edge list). Your program should output the augmenting path and the augmented flow amount each time augmented flow is added to the flow network. It is okay to look up Ford-Fulkerson Java code in another source (e.g., book, Internet) as long as you cite the source clearly. Augment(f, P) b <- bottleneck (P) foreach e E P ( if (e E E) f (e) <- f (e) + b else f (e) <- f (e) -b return f Max-Flow (G, Gf, s, t) while (there exists an augmenting path P in G) f’ < Augment (f, P) update Gf according to change from f to f’ return f 10 15 15 10 source s 10 tsink 15 4 10 15 capacity 30 4 Show transcribed image text 1. (25: optional after two required) [Ford-Fulkerson max-flow programming] Write a program in Java that implements the Ford-Fulkerson maximum flow algorithm shown below, and run it against the flow network shown below. Make a random choice of an augmenting path at each iteration. Your program code should maintain the structure of the algorithm and should include at least Max-Flow and Augment as separate routines. For convenience, a residual graph Gr can be created offline and provided as an input to Max-Flow. The flow network G and the residual network Gr can be represented in any data structure (e.g., adjacency list, adjacency matrix, edge list). Your program should output the augmenting path and the augmented flow amount each time augmented flow is added to the flow network. It is okay to look up Ford-Fulkerson Java code in another source (e.g., book, Internet) as long as you cite the source clearly. Augment(f, P) b

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Answer to 1. (25: optional after two required) [Ford-Fulkerson max-flow programming] Write a program in Java that implements the F… . . .