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To find SPT for an edge-weighted digraph with negative edge weights, can we add a positive constant edge weight to each edge and make every

To find SPT for an edge-weighted digraph with negative edge weights, can we add a positive constant edge weight to each edge and make every edge weight to be positive, and then use Dijkstras algorithm to find the SPT? If so, please explain why. If not, please give a digraph example.

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