HDU 2602Bone Collector（裸的01背包）

Posted 2020-10-31 kannyi

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

最裸的01背包，给你背包总量和物品数，以及物品的价值和体积，让你求背包装满后的最大价值

#include<bits/stdc++.h>
using namespace std;
int main()
{
    int t,N,V,i,j,w[1005],v[1005],dp[1005];
    cin>>t;
    while(t--)
    {
        memset(dp,0,sizeof dp);
        cin>>N>>V;
        for(i=1;i<=N;i++)
            scanf("%d",&v[i]);
        for(i=1;i<=N;i++)
            scanf("%d",&w[i]);
        for(i=1;i<=N;i++)        //每一个骨头
            for(j=V;j>=w[i];j--) //每个骨头的价值 
                dp[j]=max(dp[j],dp[j-w[i]]+v[i]); 
        
        cout<<dp[V]<<endl;
    }
    return 0;
}