HDU 1789 Doing Homework again

本文介绍了一种算法,用于根据截止日期和减分情况为学生安排作业顺序,以最小化最终测试成绩的减分。通过排序和替换算法,确保在截止日期前完成尽可能多的高价值作业。

Doing Homework again

Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 9936 Accepted Submission(s): 5803


Problem Description
Ignatius has just come back school from the 30th ACM/ICPC. Now he has a lot of homework to do. Every teacher gives him a deadline of handing in the homework. If Ignatius hands in the homework after the deadline, the teacher will reduce his score of the final test. And now we assume that doing everyone homework always takes one day. So Ignatius wants you to help him to arrange the order of doing homework to minimize the reduced score.

Input
The input contains several test cases. The first line of the input is a single integer T that is the number of test cases. T test cases follow.
Each test case start with a positive integer N(1<=N<=1000) which indicate the number of homework.. Then 2 lines follow. The first line contains N integers that indicate the deadlines of the subjects, and the next line contains N integers that indicate the reduced scores.

Output
For each test case, you should output the smallest total reduced score, one line per test case.

Sample Input
3 3 3 3 3 10 5 1 3 1 3 1 6 2 3 7 1 4 6 4 2 4 3 3 2 1 7 6 5 4

Sample Output
0 3 5

先对分数进行排序,如果分数一样,就按日期从小到大排,如果同一天有不同的分数,那么就往前找,被挤出来的就是要被加进去的罚分

#include<iostream>
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
const int MAXN=1010;

struct Node
{
    int d,s;
}node[MAXN];

int vis[10000];

bool cmp(Node a,Node b)
{
    if(a.s==b.s)
    {
        return a.d<b.d;
    }
    return a.s>b.s;
}

int main()
{
    int T;
    int n;
    int j;
    scanf("%d",&T);
    while(T--)
    {
        scanf("%d",&n);
        for(int i=0;i<n;i++) scanf("%d",&node[i].d);
        for(int i=0;i<n;i++) scanf("%d",&node[i].s);
        sort(node,node+n,cmp);
        memset(vis,0,sizeof(vis));
        int ans=0;
        for(int i=0;i<n;i++)
        {
            for(j=node[i].d;j>0;j--)        //排完序后,从截止日期往前找,找到没被占用的空间然后进行替代,最后被挤下来的就是最小的
            {
                if(!vis[j])
                {                   
                    vis[j]=1;
                    break;
                }
            }
            if(j==0)
              ans+=node[i].s;
        }
        printf("%d\n",ans);
    }
    return 0;
}


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