Binary search on the answer: turn an optimization into a monotonic feasibility check.
Binary search on the answer cracks minimize-the-maximum and capacity problems by guessing the result and testing feasibility with a monotone predicate. The signal is spotting monotonicity and writing a clean feasibility function. 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.
Binary search on the answer cracks minimize-the-maximum and capacity problems by guessing the result and testing feasibility with a monotone predicate. The signal is spotting monotonicity and writing a clean feasibility function. 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.