01背包问题

01背包问题，并打印出路径

#include<iostream>
#include<stdlib.h>
using namespace std;
#define MAX 100

int f[MAX][MAX];
int Path[MAX][MAX];

int main()
{
	int Weight[] = {0,2,3,1,4,6,5};  
	int Value[] =  {0,5,6,5,1,19,7};
	int nCapacity = 10;

	//memset(f[0],-1,sizeof(f[0]));

	for(int i = 1;i<=6;i++)
	{
		for(int j=1;j<=nCapacity;j++)
		{
			if(j >= Weight[i] && f[i-1][j-Weight[i]]+Value[i] > f[i-1][j])
			{
				f[i][j] = f[i-1][j-Weight[i]]+Value[i];
				Path[i][j] = 1;
			}
			else
				f[i][j] = f[i-1][j];

			cout<<f[i][j]<<" ";
		}
		cout<<endl;
	}
	int i=6,j=nCapacity;
	while(i>0 && j>0)
	{
		if(Path[i][j]==1)
		{
			cout<<Value[i]<<" ";
			j -= Weight[i];
		}
		i--;
	}

	return 0;
}