class Solution {
public:
/**
* min edit cost
* @param str1 string字符串 the string
* @param str2 string字符串 the string
* @param ic int整型 insert cost
* @param dc int整型 delete cost
* @param rc int整型 replace cost
* @return int整型
*/
int minEditCost(string str1, string str2, int ic, int dc, int rc) {
// write code here
int m = str1.length(), n = str2.length();
if(m ==0 || n == 0){
int res = min(ic, dc)*max(m, n);
}
vector<vector<int>> dp(m+1, vector<int>(n+1, 0));
for(int i=1; i<n; i++){
dp[0][i] = dp[0][i-1] + ic;
}
for(int i=1; i<m; i++){
dp[i][0] = dp[i-1][0] + dc;
}
for(int i=1; i<=m; i++){
for(int j=1; j<=n; j++){
if(str1[i-1] == str2[j-1]){
dp[i][j] = dp[i-1][j-1];
}
else{
dp[i][j] = min(dp[i-1][j-1] + rc,
min(dp[i][j-1] + ic,
dp[i-1][j] + dc));
}
}
}
return dp[m][n];
}
};