UVA 562 Dividing coins (01背包)

//平分硬币问题

//对sum/2进行01背包,sum-2*dp[sum/2]

 

#include <iostream>
#include <cstring>
#include <algorithm>
using namespace std;

int value[100000],dp[100000];

int main()
{
    int n,m,sum,sum1;
    cin>>n;
    while(n--)
    {
        cin>>m;
        sum=0;
        for(int i=1;i<=m;i++)
        {
            cin>>value[i];
            sum+=value[i];
        }
        sum1=sum/2;
        memset(dp,0,sizeof(dp));
        for(int i=1;i<=m;i++)
         for(int j=sum1;j>=value[i];j--)
          dp[j]=max(dp[j],dp[j-value[i]]+value[i]);
        cout<<sum-2*dp[sum1]<<endl;
    }
    return 0;
}