Shortest two disjoint paths; two sources and two destinations?

This may be reduced to the shortest edge-disjoint paths problem.

Do BFS (breadth first search) traversal from a1 -> a2 and remove the path and compute BFS b1 -> b2. Now reset the graph and do same with b1->b2 first and remove path and then a1->a2. Whatever sum is minumum is the answer.

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