Floyd-Warshall: all-pairs shortest paths with a three-loop dynamic program.
Floyd-Warshall computes shortest paths between every pair of nodes in O(V cubed) with a compact three-line triple loop. The signal is the intermediate-node DP order and why k has to be the outer loop. Here is the answer.
Updated Sep 2026 · Grounded in real GenAI, LLM, and AI/ML engineering interview loops and written to a senior-engineer editorial bar.
Floyd-Warshall computes shortest paths between every pair of nodes in O(V cubed) with a compact three-line triple loop. The signal is the intermediate-node DP order and why k has to be the outer loop. Here is the answer.
Lead with where the obvious approach breaks, because that is the judgment they are screening for — most candidates jump straight to the happy path and lose the room.
Then walk the failure back through the pipeline in order, naming the one metric the customer's exec sponsor actually cares about before you propose the fix.
