Question: Define the edit distance between two strings X and Y of length n and m, respectively, to be the number of edits that it takes

Define the edit distance between two strings X and Y of length n and m, respectively, to be the number of edits that it takes to change X into Y. An edit consists of a character insertion, a character deletion, or a character replacement. For example, the strings "algorithm" and "rhythm" have edit distance 6. Design an O(nm)-time algorithm for computing the edit distance between X and Y.

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