#include<iostream>
#include<cstdio>
#include<cstdlib>
using namespace std;

struct goodinfo
{
float p; //物品效益
float v; //物品价值
float w; //物品重量
float X; //物品该放的数量
int flag; //物品编号
}; //物品信息结构体

void Insertionsort(goodinfo goods[],int n)
{
int j,i;
for(j=2;j<=n;j++)
{
goods[0]=goods[j];
i=j-1;
while (goods[0].p>goods[i].p)
{
goods[i+1]=goods[i];
i--;
}
goods[i+1]=goods[0];
}
} //按物品效益,重量比值做升序排列

void bag(goodinfo goods[],float M,int n)
{
float cu;
int i,j;
for(i=1;i<=n;i++) goods[i].X=0;
cu=M; //背包剩余容量
for(i=1;i<n;i++)
{
if(goods[i].w>cu)//当该物品重量大与剩余容量跳出
break;
goods[i].X=1;
cu=cu-goods[i].w;//确定背包新的剩余容量
}
if(i<=n)
goods[i].X=cu/goods[i].w;//该物品所要放的量
//按物品编号做降序排列
for(j=2;j<=n;j++)
{
goods[0]=goods[j];
i=j-1;
while(goods[0].flag<goods[i].flag)
{
goods[i+1]=goods[i];
i--;
}
goods[i+1]=goods[0];
}
double sum=0.0;
cout<<"最优解为:(";
for(i=1;i<=n;i++)
{
if(i==1)
cout<<goods[i].X;
else
cout<<","<<goods[i].X;
if(goods[i].X!=0)
sum+=goods[i].X*goods[i].v;
}
cout<<")"<<endl;
cout<<"最优解值为:"<<sum<<endl;
}
int main()
{
cout<<"|---------运用贪心法解背包问题---------|"<<endl;
cout<<"|--------------------------------------|"<<endl;
int i,n;
float M;
goodinfo *goods; //定义一个指针
cout<<"请输入物品的总数量:";
while(cin>>n)
{
goods=new struct goodinfo [n+1];
cout<<"请输入背包的最大容量:";
cin>>M;
cout<<endl;
cout<<"请输入"<<n<<"个背包的重量(空格分割):"<<endl;
for(i=1;i<=n;i++)
{
goods[i].flag=i;
cin>>goods[i].w;
}
cout<<"请输入"<<n<<"个背包的价值(空格分割):"<<endl;
for(i=1;i<=n;i++)
{
cin>>goods[i].v;
goods[i].p=goods[i].v/goods[i].w; //得出物品的效益,重量比
}
Insertionsort(goods,n);
bag(goods,M,n);
}
return 0;
}