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Model the problem as a graph where each bus route is a node, and edges connect routes that share at least one stop. Then perform BFS from all routes containing the source stop to find the minimum number of routes (buses) to reach any route containing the destination stop. Return the number of buses as the BFS level + 1 (or 0 if source equals destination).
Pro tip: Clarify edge cases upfront: if source equals destination, answer is 0; if no route contains source or destination, return -1. Also mention that precomputing stop-to-routes mapping optimizes the BFS.
Confirm the problem details: each bus route is a set of stops, you can transfer between routes at shared stops, and you want the minimum number of buses. Ask about edge cases like source == destination or unreachable stops.
Represent each bus route as a node. Connect two route nodes if they share at least one stop. This transforms the problem into finding the shortest path in an unweighted graph.
Create a hash map from each stop to the list of routes that include it. This allows efficient lookup of which routes are reachable from a given stop.
Start BFS from all routes containing the source stop. For each route, explore all its stops, and for each stop, enqueue all unvisited routes that contain that stop. Track the number of buses (BFS levels). Stop when a route containing the destination is found.
If source == destination, return 0. If BFS exhausts without reaching destination, return -1. Otherwise, return the number of buses taken (BFS level + 1).
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