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Longest Common Subsequence (LCS) and the 2D DP family.

LCS is the template 2D-sequence DP behind diff tools and bioinformatics. The signal is reconstructing the match/mismatch recurrence cold and not confusing subsequence (gaps allowed) with substring (contiguous). Here is the answer.

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

LCS is the template 2D-sequence DP behind diff tools and bioinformatics. The signal is reconstructing the match/mismatch recurrence cold and not confusing subsequence (gaps allowed) with substring (contiguous). Here is the answer.

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