题目链接:完全背包问题
初版(时间复杂度拉满)
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 1010;
int n, m;
int v[N], w[N];
int f[N][N];
int main()
{
cin >> n >> m;
for(int i = 1; i <= n; i ++) cin >> v[i] >> w[i];
for(int i = 1; i <= n; i++)
for(int j = 0; j <= m; j ++)
for(int k = 0; k * v[i] <= j; k ++)
f[i][j] = max(f[i][j], f[i - 1][j - k * v[i]] + k * w[i]);
cout << f[n][m] << endl;
return 0;
}
改良版
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 1010;
int n, m;
int v[N], w[N];
int f[N][N];
int main()
{
cin >> n >> m;
for(int i = 1; i <= n; i++) cin >> v[i] >> w[i];
for(int i = 1; i <= n; i++)
for(int j = 0; j <= m; j++)
{
f[i][j] = f[i - 1][j];
if(j >= v[i])
f[i][j] = max(f[i][j], f[i][j - v[i]] + w[i]);
}
cout << f[n][m] << endl;
return 0;
}
最终版
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 1010;
int n, m;
int v[N], w[N];
int f[N];
int main()
{
cin >> n >> m;
for(int i = 1; i <= n; i++) cin >> v[i] >> w[i];
for(int i = 1; i <= n; i++)
for(int j = v[i]; j <= m; j++)
f[j] = max(f[j], f[j - v[i]] + w[i]);
cout << f[m] << endl;
return 0;
}