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Hi, I'm not sure how to do this, any help is appreciated thank you! Bottleneck Capacities: the Maximum Capacity Augmenting Path Algorithm. Suppose, in the

Hi, I'm not sure how to do this, any help is appreciated thank you!
Bottleneck Capacities: the Maximum Capacity Augmenting Path Algorithm. Suppose, in the tth iteration, the maximum capacity augmenting path algo- rithm uses a path with bottleneck capacity Ut in the residual graph Gft. Is it always the case that the Ut are weakly decreasing, that is, ui > U2 > U3 > ...? Either prove this is true or present a counterexample

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