给你两个单词 word1
和 word2
, 请返回将 word1
转换成 word2
所使用的最少操作数
你可以对一个单词进行如下三种操作:
- 插入一个字符
- 删除一个字符
- 替换一个字符
示例 1:
输入:word1 = "horse", word2 = "ros"
输出:3
解释:
horse -> rorse (将 'h' 替换为 'r')
rorse -> rose (删除 'r')
rose -> ros (删除 'e')
示例 2:
输入:word1 = "intention", word2 = "execution"
输出:5
解释:
intention -> inention (删除 't')
inention -> enention (将 'i' 替换为 'e')
enention -> exention (将 'n' 替换为 'x')
exention -> exection (将 'n' 替换为 'c')
exection -> execution (插入 'u')
提示:
0 <= word1.length, word2.length <= 500
word1
和word2
由小写英文字母组成
class Solution:
def minDistance(self, word1: str, word2: str) -> int:
dp = [[0] * (len(word2) + 1) for _ in range(len(word1) + 1)]
for j in range(len(word2) + 1):
dp[0][j] = j
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 word2[j - 1] == word1[i - 1]:
dp[i][j] = min(dp[i - 1][j - 1], dp[i - 1][j] + 1, dp[i][j - 1] + 1)
else:
dp[i][j] = min(dp[i - 1][j - 1] + 1, dp[i - 1][j] + 1, dp[i][j - 1] + 1)
return dp[-1][-1]