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python/TangDou/LanQiaoBei/LanQiao14STEMA202208/5_dp.cpp

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2025-08-30 18:35:01 +08:00
#include <bits/stdc++.h>
using namespace std;
const int N = 2010;
char a[N], b[N];
int al, bl;
int f[N][N];
int main() {
cin >> a + 1 >> b + 1;
al = strlen(a + 1), bl = strlen(b + 1);
//初始化
for (int i = 1; i <= bl; i++) f[0][i] = i;
for (int i = 1; i <= al; i++) f[i][0] = i;
for (int i = 1; i <= al; i++)
for (int j = 1; j <= bl; j++) {
//增加删除
f[i][j] = min(f[i - 1][j] + 1, f[i][j - 1] + 1);
//修改
if (a[i] == b[j])
f[i][j] = min(f[i][j], f[i - 1][j - 1]);
else
f[i][j] = min(f[i][j], f[i - 1][j - 1] + 1);
}
printf("%d\n", f[al][bl]);
return 0;
}