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For the network below, the number on each arc (edge) denotes maximum flow capacity on the arc. source 2 2 2 sink (a) Use

For the network below, the number on each arc (edge) denotes maximum flow capacity on the arc. source 2 2 2 sink (a) Use flow augmenting paths from the source to the sink to find the maximum total flow. Clearly show the working of each flow augmenting step. (b) After finding the maximum flow, find a cut of minimum flow capacity.

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