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ural 1005 Stone Pile

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1005. Stone Pile

Time limit: 1.0 second
Memory limit: 64 MB
You have a number of stones with known weights w1, …, wn. Write a program that will rearrange the stones into two piles such that weight difference between the piles is minimal.

Input

Input contains the number of stones n (1 ≤ n ≤ 20) and weights of the stones w1, …, wn (integers, 1 ≤ wi ≤ 100000) delimited by white spaces.

Output

Your program should output a number representing the minimal possible weight difference between stone piles.

Sample

input output
5
5 8 13 27 14
3
Problem Source: USU Championship 1997




题意:把一堆东西分成两堆,使其差值最小
转为01背包。。
#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <algorithm>
#include <queue>
#include <map>
#include <vector>
using namespace std;
int dp[1000005];  //数组必须开到100W以上
int main()
{
    int n,i,j;
    int a[25];
    scanf("%d",&n);
    memset(dp,0,sizeof(dp));
    int ans=0;
    for(i=0; i<n; i++)
    {
        scanf("%d",&a[i]);
        ans+=a[i];
    }
    int sum=ans/2;
    for(i=0; i<n; i++)
    {
        for(j=sum; j>=a[i]; j--)
        {
            dp[j]=max(dp[j],dp[j-a[i]]+a[i]);
        }
    }
    printf("%d\n",ans-dp[sum]*2);
    return 0;
}



ural 1005 Stone Pile

原文:http://blog.csdn.net/sky_miange/article/details/44599345

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