Minimum ASCII Delete Sum for Two Strings

Given two stringss1, s2, find the lowest ASCII sum of deleted characters to make two strings equal.

Example 1:

Input:
 s1 = "sea", s2 = "eat"

Output:
 231

Explanation:
 Deleting "s" from "sea" adds the ASCII value of "s" (115) to the sum.
Deleting "t" from "eat" adds 116 to the sum.
At the end, both strings are equal, and 115 + 116 = 231 is the minimum sum possible to achieve this.

Example 2:

Input:
 s1 = "delete", s2 = "leet"

Output:
 403

Explanation:
 Deleting "dee" from "delete" to turn the string into "let",
adds 100[d]+101[e]+101[e] to the sum.  Deleting "e" from "leet" adds 101[e] to the sum.
At the end, both strings are equal to "let", and the answer is 100+101+101+101 = 403.
If instead we turned both strings into "lee" or "eet", we would get answers of 433 or 417, which are higher.

Note:

0<s1.length, s2.length<= 1000

All elements of each string will have an ASCII value in[97, 122]

.分析

2个序列比较的二维dp，注意初始化，dp[i][0]和dp[0][j]是累计和

class Solution:
    def minimumDeleteSum(self, s1: str, s2: str) -> int:
        n,m = len(s1),len(s2)
        f = [[float('inf')]*(m+1) for _ in range(n+1)]
        f[0][0] = 0
        for i in range(1,n+1):
            f[i][0] = f[i-1][0] + ord(s1[i-1])
            for j in range(1,m+1):
                f[0][j] = f[0][j-1] + ord(s2[j-1])
                if s1[i-1] == s2[j-1]:
                    f[i][j] = f[i-1][j-1]
                else:
                    f[i][j] = min(f[i-1][j] + ord(s1[i-1]), f[i][j-1] + ord(s2[j-1]))
        return f[n][m]