KMP string matching: find a pattern in O(n+m) using the prefix-function failure links.
KMP matches a pattern in linear time by precomputing a failure function that skips redundant comparisons rather than backtracking the text. The signal is what the prefix function actually holds and why the text pointer never moves backward. 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.
KMP matches a pattern in linear time by precomputing a failure function that skips redundant comparisons rather than backtracking the text. The signal is what the prefix function actually holds and why the text pointer never moves backward. 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.
