Problem Q

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

题意：给出袋子的最大容量，和每个物品的价值和体积，求最多能装多少价值的物品；

解题思路：最基本的01背包问题；

感悟:今晚心情很不好。。。

代码：

#include
#include
#include
#define maxn 1010
using namespace std;
int main()
{
    //freopen("in.txt","r",stdin);
    long long t,n,v,date[maxn],V[maxn],dp[maxn];
    scanf("%lld",&t);
    while(t--)
    {
        memset(dp,0,sizeof dp);
        scanf("%lld%lld",&n,&v);
        for(int i=1;i<=n;i++)
            scanf("%lld",&date[i]);
        for(int i=1;i<=n;i++)
            scanf("%lld",&V[i]);
        for(int i=1;i<=n;i++)
            for(int j=v;j>=V[i];j--)
            {
                dp[j]=max(dp[j],dp[j-V[i]]+date[i]);
            }
        printf("%d ",dp[v]);
    }
}