#include <iostream>
using namespace std;
#define N 4
int w[N];
int v[N];
int x[N];
int n,c;
int SumWeight = 0;
int SumValue = 0;
int OptimalValue = 0;
int OptimalSolution[N];
void backtracking(int t)
{
if(t>n)
{
if(SumValue>OptimalValue)
{
OptimalValue = SumValue;
for(int i=1; i<=n; ++i)
OptimalSolution[i] = x[i];
}
}
else
{
for(int i=0; i<=1; ++i)
{
x[t]=i;
if(i==0)
{
backtrack(t+1);
}
else
{
if((SumWeight+w[t])<=c)
{
SumWeight += w[t];
SumValue += v[t];
backtrack(t+1);
SumWeight -= w[t];
SumValue -= v[t];
}
}
}
}
}
int main()
{
cout<<"请输入物品的个数:"<<endl;
cin>>n;
cout<<"请输入每个物品的重量及价值(如5 4):"<<endl;
for(int i = 1; i <= n; i++)
{
cin>>w[i]>>v[i];
}
cout<<"请输入背包的限制容量:"<<endl;
cin>>c;
backtrack(1);
cout<<"最优价值是:"<<OptimalValue<<endl;
cout<<"(";
for(int i=1;i<=n;i++)
cout<<OptimalSolution[i]<<" ";
cout<<")";
return 0;
}