uva 562 - Dividing coins

题目：http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=503

思路：裸的01背包

 

#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <iostream>
using namespace std;
#define maxn 50010
int dp[maxn];
int coin[110];
int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        int n;
        scanf("%d",&n);
        int total=0;
        for(int i=1;i<=n;i++)
        {
            scanf("%d",&coin[i]);
            total+=coin[i];
        }
        int half=total/2;
        memset(dp,0,sizeof(dp));
        for(int i=1;i<=n;i++)
            for(int j=half;j>=coin[i];j--)
                dp[j]=max(dp[j],dp[j-coin[i]]+coin[i]);
        half=dp[half];
        printf("%d\n",abs(2*half-total));
    }
    return 0;
}