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Consider the road network in IISER where each junction is a node and the road connecting each node as an edge. Assume that there are

Consider the road network in IISER where each junction is a node and

the road connecting each node as an edge. Assume that there are n nodes

and m edges. Cost to travel each edge is cij

.

We need find the shortest

path from one node to another. Formulate the shortest path problem as

an optimization problem with corresponding constraints.

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