2d dp

Edit distance is the archetypal 2D string DP, powering spell-check, diff, and fuzzy matching. What interviewers watch for: naming the subproblem and the insert/delete/replace recurrence. Here is the answer.

LCS is the template 2D-sequence DP behind diff tools and bioinformatics. Interviewers look for rebuilding the match/mismatch recurrence from memory and not mixing up subsequence (gaps allowed) with substring (contiguous). The answer follows.

The textbook grid DP where each cell depends on three neighbors at once. What interviewers want is the min-of-three recurrence, plus the reason it has to be min. The answer follows.