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Problem 3: Suppose that you are trying to find a max flow in a directed graph. However, instead of having capacities on the edges, you

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Problem 3: Suppose that you are trying to find a max flow in a directed graph. However, instead of having capacities on the edges, you have capac- ities on the nodes. (Can you think of a real-life application for this kind of problem?) Show how to find a max flow in such a case. Hint: like we did in class, think about how to modify the graph, rather than the algorithm

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