Longest Palindromic Substring (expand around center).
This classic has a tidy O(n^2) expand-around-center solution that outdoes the naive O(n^3). Interviewers look for expanding from every center and handling odd and even lengths separately. The answer follows.
Updated Sep 2026 · Grounded in real GenAI, LLM, and AI/ML engineering interview loops and written to a senior-engineer editorial bar.
This classic has a tidy O(n^2) expand-around-center solution that outdoes the naive O(n^3). Interviewers look for expanding from every center and handling odd and even lengths separately. The answer follows.
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.