Question: The shortest path problem with negative arc cost can be solved by generic label correcting algorithm. Some people point out that (1) the generic label

The shortest path problem with negative arc cost can be solved by generic label correcting algorithm. Some people point out that (1) the generic label correcting algorithm is in fact an exponential time algorithm, and (2) hence the shortest path problem with negative arc cost is NP-hard.

Please comment on the above two points, true or false, with short explanation.

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