class Solution:
def minDistance(self, word1: str, word2: str) -> int:
## 这题居然没做过 难以置信
n = len(word1)
m = len(word2)
dp = [[float("inf")] * (m + 1) for _ in range(n + 1)]
for i in range(n + 1):
dp[i][0] = i
for j in range( m + 1):
dp[0][j] = j
for i in range(1, n + 1):
for j in range(1, m + 1):
if word1[i-1] == word2[j-1]:
dp[i][j] = dp[i-1][j-1]
else:
dp[i][j] = min(dp[i-1][j],dp[i][j-1],dp[i-1][j-1]) + 1
return dp[n][m]