34. Edit Distance

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Example 1:

Input: word1 = "horse", word2 = "ros"

Output: 3

Explanation: horse -> rorse (replace 'h' with 'r') rorse -> rose (remove 'r') rose -> ros (remove 'e') The minimum edit distance between "horse" and "ros" is 3 (replace 'h' with 'r', remove 'r', remove 'e').

Example 2:

Input: word1 = "intention", word2 = "execution"

Output: 5

Explanation: intention -> inention (remove 't') inention -> enention (replace 'i' with 'e') enention -> exention (replace 'n' with 'x') exention -> exection (replace 'n' with 'c') exection -> execution (insert 'u') The minimum edit distance between "intention" and "execution" is 5.

Example 3:

Input: word1 = "", word2 = "abc"

Output: 3

Explanation: The minimum edit distance between "" and "abc" is 3 (insert 'a', insert 'b', insert 'c').

Example 4:

Input: word1 = "abc", word2 = ""

Output: 3

Explanation: The minimum edit distance between "abc" and "" is 3 (delete 'a', delete 'b', delete 'c').

Example 5:

Input: word1 = "abc", word2 = "abc"

Output: 0

Explanation: The minimum edit distance between "abc" and "abc" is 0 (no operations needed).

Constraints:

Time Complexity

O(mn)

Space Complexity

O(mn)

34. Edit Distance

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Example 1:

Example 2:

Example 3:

Example 4:

Example 5:

Constraints:

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