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The edit distance (also: Levenshtein distance) between two strings measures the number of insertions and deletions it takes to convert one string to another.

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Why is the running time of edit distance with memoization $O(mn)$?

I understand without memoization it is going to be $O(3^{\max\,\{m,n\}})$ because every call results in extra three calls: thus we end up having a call tree with three children for each node, with hei …
Sandesh Kobal's user avatar