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Longest Increasing Subsequence (LIS): the O(n log n) patience-sorting trick.

LIS has an obvious O(n²) DP and a clever O(n log n) solution that surprises people. The signal is the patience-sorting/binary-search approach maintaining 'tails'. Here is both.

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

LIS has an obvious O(n²) DP and a clever O(n log n) solution that surprises people. The signal is the patience-sorting/binary-search approach maintaining 'tails'. Here is both.

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