Bone Collector

Problem Description

Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …
The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the maximum of the total value the bone collector can get ?

 

Input

The first line contain a integer T , the number of cases.
Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third line contain N integers representing the volume of each bone.

 

Output

One integer per line representing the maximum of the total value (this number will be less than 2³¹).

 

Sample Input

1
5 10
1 2 3 4 5
5 4 3 2 1

 

Sample Output

14
/*简单背包问题*/
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
int main()
{
	int test,n,v,i,j;
	int a[1100],s[1100],dp[1100];
	scanf("%d",&test);
	while(test--){
		memset(dp,0,sizeof(dp));
	scanf("%d %d",&n,&v);
	for(i=1;i<=n;i++)
	{
		scanf("%d",&a[i]);
	}
	for(i=1;i<=n;i++)
	{
		scanf("%d",&s[i]);
	}
	for(i=1;i<=n;i++)
	{
		for(j=v;j>=s[i];j--)
		{
			dp[j]=max(dp[j],dp[j-s[i]]+a[i]);
		}
	}
	printf("%d\n",dp[v]);}
	return 0;
}