huimeich / leetcode-solution

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72. Edit Distance #258

Open huimeich opened 5 years ago

huimeich commented 5 years ago

Given two words word1 and word2, find the minimum number of operations required to convert word1 to word2.

You have the following 3 operations permitted on a word:

Insert a character Delete a character Replace a character Example 1:

Input: word1 = "horse", word2 = "ros" Output: 3 Explanation: horse -> rorse (replace 'h' with 'r') rorse -> rose (remove 'r') rose -> ros (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')

huimeich commented 5 years ago
def minDistance(self, word1: str, word2: str) -> int:
    dp = [[0 for j in range(len(word2) + 1)] for i in range(len(word1) + 1)]
    for i in range(len(word2) + 1):
        dp[0][i] = i
    for i in range(len(word1) + 1):
        dp[i][0] = i
    for i in range(1, len(word1) + 1):
        for j in range(1, len(word2) + 1):
            if word1[i - 1] == word2[j - 1]:
                dp[i][j] = min(dp[i - 1][j - 1], dp[i - 1][j] + 1, dp[i][j - 1] + 1)
            else:
                dp[i][j] = 1 + min(dp[i - 1][j - 1], dp[i - 1][j], dp[i][j - 1])
    return dp[len(word1)][len(word2)]