Consider a scenario where you have a graph representing a network of cities connected by roads with tolls. Discuss the modifications needed to adapt Dijkstra's algorithm to find the shortest path while considering both distance and toll costs.
- Add toll costs to the edge weights
- Exclude edges with tolls from the graph
- Ignore toll costs and focus only on the distance
- Prioritize routes with the fewest toll booths
To adapt Dijkstra's algorithm for toll costs, you should add toll costs to the edge weights. This modification ensures that the algorithm considers both distance and toll costs when finding the shortest path, providing a more accurate representation of the actual travel expenses.
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