i need detailed explanation of this, as a text file thank you.

Problem 2. Consider an s-t flow network G = (V, E). Assume that every edge e has an integer capacity c(e) > 0. There may be several st minimum (capacity) cuts in G. Let us say that an s-t minimum (capacity) cut (S, T) is thin if the number of edges that (S,T) cuts is less than or equal to the number of edges that every other minimum cut (S,T) cuts Design an algorithm that finds a thin minimum cut (S, T). Prove its correctness Answer. Given source node s and sink node t, we can compute maximum flow and capacity of minimum cut in network G = (V, E) using Ford-Fulkerson Algorithm