Hdu2602 Bone Collector （01背包）

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

 

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int t,n,W;
ll v[1005];
int w[1005];
ll dp[1005][1005];
int main()
{
    cin>>t;
    while(t--){
        cin>>n>>W;
        for(int i=0;i<n;i++) cin>>v[i];
        for(int i=0;i<n;i++) cin>>w[i];
        for(int i=0;i<n;i++){
            for(int j=0;j<=W;j++){
                if(j<w[i]) dp[i+1][j]=dp[i][j];
                else dp[i+1][j]=max(dp[i][j],dp[i][j-w[i]]+v[i]);
            }
        }
        cout<<dp[n][W]<<endl;
    }
    return 0;
}