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Binary search on the answer: turn an optimization into a monotonic feasibility check.

Binary search on the answer solves minimize-the-maximum and capacity problems by guessing the result and checking feasibility in a monotone predicate. The signal is spotting monotonicity and writing a clean feasibility function. Here is the answer.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

Binary search on the answer solves minimize-the-maximum and capacity problems by guessing the result and checking feasibility in a monotone predicate. The signal is spotting monotonicity and writing a clean feasibility function. Here is the answer.

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