Recognize this as a single-source shortest path problem on a directed graph with non-negative weights, so Dijkstra's algorithm is optimal. Use a priority queue to efficiently extract the minimum distance node and relax its outgoing edges. After computing distances, replace any infinite distances with -1 to indicate unreachable nodes.
Pro tip: Mention that if edge weights can be negative, Dijkstra fails and Bellman-Ford is needed, but since the problem implies non-negative weights, Dijkstra is the right choice. Also, discuss the time complexity O((n + m) log n) and how it compares to Bellman-Ford's O(nm).
Confirm that edge weights are non-negative and that the graph is directed. Ask about the expected input format and any constraints on n and m.
Select Dijkstra's algorithm because it efficiently finds shortest paths from a single source in graphs with non-negative weights. Mention that Bellman-Ford would be used if negative weights were present.
Initialize distances to infinity except the source (0). Use a min-heap to repeatedly extract the node with the smallest tentative distance and relax its outgoing edges.
After the algorithm completes, replace any remaining infinity distances with -1. Return the array of minimum times.
State the time complexity O((n + m) log n) and space complexity O(n + m). Discuss edge cases like disconnected graph, single node, or source with no outgoing edges.
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