For every positive integer U, show that there is an instance of the maximum flowproblem with edge capacities in {1,2,..., U} and a choice of augmenting pathsso that the Ford-Fulkerson algorithm runs for at least U iterations before termi-nating. The number of vertices and edges in your networks should be boundedabove by constant, independent of U. (This shows that the algorithm is onlyp̈seudopolynomial.)̈[Hint: use a network similar to the examples discussed in lecture.]

TechAly Code on Instagram: "⚡ Edmonds-Karp Algorithm (DSA) ⚡ The Edmonds-Karp algorithm is an implementation of the Ford-Fulkerson method to solve the Maximum Flow Problem in a flow network. 🔹 How it works: 1️⃣ Start with zero flow in the network. 2️⃣ Use Breadth-First Search (BFS) to find the shortest augmenting path from source (S) to sink (T). 3️⃣ Add flow along this path equal to the minimum residual capacity (bottleneck). 4️⃣ Update the residual graph (reduce forward edge capacity, increas