hdu1171 Big Event in HDU（DP）

最新推荐文章于 2021-01-15 16:19:09 发布

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最新推荐文章于 2021-01-15 16:19:09 发布

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分类专栏： DP

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本文介绍了一个关于设施平均分配的问题，并提供了一种利用01背包算法解决该问题的方法。具体而言，通过将设施的价值和数量输入到01背包问题中，找到价值最接近平分的解决方案。

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题意：给出每个物体的价值和物体的数量，如何分使得A,B所得价值最接近并且A的价值不能小于B

思路：将总和平分后，就是一道01背包题了

#include <stdio.h>
#include <string.h>
#include <algorithm>
using namespace std;

int val[5005];
int dp[255555];

int main()
{
    int n,i,j,a,b,l,sum;
    while(~scanf("%d",&n),n>0)
    {
        memset(val,0,sizeof(val));
        memset(dp,0,sizeof(dp));
        l = 0;
        sum = 0;
        for(i = 0;i<n;i++)
        {
            scanf("%d%d",&a,&b);
            while(b--)
            {
                val[l++] = a;
                sum+=a;
            }
        }
        for(i = 0;i<l;i++)
        {
            for(j = sum/2;j>=val[i];j--)
            {
                dp[j] = max(dp[j],dp[j-val[i]]+val[i]);
            }
        }
        printf("%d %d\n",sum-dp[sum/2],dp[sum/2]);
    }

    return 0;
}

Description

Nowadays, we all know that Computer College is the biggest department in HDU. But, maybe you don't know that Computer College had ever been split into Computer College and Software College in 2002.
The splitting is absolutely a big event in HDU! At the same time, it is a trouble thing too. All facilities must go halves. First, all facilities are assessed, and two facilities are thought to be same if they have the same value. It is assumed that there is N (0<N<1000) kinds of facilities (different value, different kinds).

Input

Input contains multiple test cases. Each test case starts with a number N (0 < N <= 50 -- the total number of different facilities). The next N lines contain an integer V (0<V<=50 --value of facility) and an integer M (0<M<=100 --corresponding number of the facilities) each. You can assume that all V are different.
A test case starting with a negative integer terminates input and this test case is not to be processed.

Output

For each case, print one line containing two integers A and B which denote the value of Computer College and Software College will get respectively. A and B should be as equal as possible. At the same time, you should guarantee that A is not less than B.

Sample Input