AC_7混合背包问题

 

 

代码：

/*混合背包问题*/
/*

*/
#include<iostream>
#include<cstring>
#include<algorithm>
#include<vector>
using namespace std;

const int N = 1010;
int f[N];

int n, m;
struct Thing
{
    int kind;
    int v, w;
};
vector<Thing>things;

int main()
{
    cin >> n >> m;
    for (int i = 0; i < n; i++)
    {
        int v, w, s;
        cin >> v >> w >> s;
        if (s < 0)
            things.push_back({ -1, v, w });
        else if (s == 0)
        {
            things.push_back({ 0, v, w });
        }
        else
        {
            for (int k = 1; k <= s; k *= 2)//分离  每一部分都是01背包问题
            {
                s -= k;
                things.push_back({ -1, v*k, w*k });
            }
            if (s>0)
            {
                things.push_back({ -1, v*s, w*s });
            }
        }
    }
    for (auto thing : things)
    {
        if (thing.kind < 0)//01背包
        {
            for (int j = m; j >= thing.v; j--)
            {
                f[j] = max(f[j], f[j - thing.v] + thing.w);
            }
        }
        else
        {
            for (int j = thing.v; j <= m; j++)//完全背包
            {
                f[j] = max(f[j], f[j - thing.v] + thing.w);
            }
        }
    }
    cout << f[m] << endl;
    return 0;
}
/*