HDU 1074 Doing Homework //超详细解释

分手后的思念是犯贱 2022-08-11 00:50 144阅读 0赞

# Doing Homework #

**Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)  
Total Submission(s): 5187 Accepted Submission(s): 2155**

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, 1 day for 1 point. And as you know, doing homework always takes a long time. 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 which is the number of test cases. T test cases follow.  
Each test case start with a positive integer N(1<=N<=15) which indicate the number of homework. Then N lines follow. Each line contains a string S(the subject's name, each string will at most has 100 characters) and two integers D(the deadline of the subject), C(how many days will it take Ignatius to finish this subject's homework).  
  
Note: All the subject names are given in the alphabet increasing order. So you may process the problem much easier.

Output

For each test case, you should output the smallest total reduced score, then give out the order of the subjects, one subject in a line. If there are more than one orders, you should output the alphabet smallest one.

Sample Input

2
    3
    Computer 3 3
    English 20 1
    Math 3 2
    3
    Computer 3 3
    English 6 3
    Math 6 3

Sample Output

2
    Computer
    Math
    English
    3
    Computer
    English
    Math
    
    
       
        
        
         
         
          Hint
        
         
    In the second test case, both Computer->English->Math and Computer->Math->English leads to reduce 3 points, but the 
    word "English" appears earlier than the word "Math", so we choose the first order. That is so-called alphabet order.

Author

Ignatius.L

#include <stdio.h>
    #include <string.h>
    
    #define M 1<<16
    
    struct node
    {
        char name[200];
        int deadtime;       //规定时间
        int needtime;       //需要时间
    } course[20];
    struct node1
    {
        int reduce;     //扣除分数
        int cost;       //总共需要的时间
        int pre;        //上一状态
    } dp[M];
    bool visit[M];  //记录状态
    
    void output(int n);
    
    int main()
    {
        int t, n;
        int i, j;
    
        scanf("%d", &t);
        while(t--)
        {
            scanf("%d", &n);
            for(i=0; i<n; i++)
                scanf("%s%d%d", course[i].name, &course[i].deadtime, &course[i].needtime);
    
            memset(visit, false, sizeof(visit));//初始化，dp[0]代表完成0项作业
            dp[0].cost = dp[0].reduce = 0;
            dp[0].pre = -1;
            visit[0] = true;
    
            int all = (1<<n)-1; 
    
            for(i=0; i<all; i++)        //访问所以状态，all对应的二进制是n个1
            {
                for(j=0; j<n; j++)
                {
                    int num = 1<<j;
                    if((i&num) == 0)    //当这个作业没有被完成时
                    {
                        int now = num|i;       //现在对应的状态
    
                        int cost = dp[i].cost + course[j].needtime; //当前状态需要的时间
                        int reduce = cost - course[j].deadtime;     //当前状态扣除的分数
    
                        if(reduce < 0)reduce = 0;   //扣除的分数不能为负
                        reduce += dp[i].reduce;     //当前状态扣除的分数
    
                        dp[now].cost = cost;
    
                        if(visit[now]==true)    //当前状态没有被访问
                        {
                            if(dp[now].reduce > reduce)//如果此时状态扣除的分数 比 原来扣除的分数少 更新
                            {
                                dp[now].reduce = reduce;
                                dp[now].pre = i;
                            }
                            else if(dp[now].reduce == reduce)   //当扣除分数相同时，选字典序小的
                            {
                                if(dp[now].pre > i)
                                    dp[now].pre = i;
                            }
                        }
                        else    //没有被访问过
                        {
                            visit[now] = true;
                            dp[now].reduce = reduce;
                            dp[now].pre = i;
                        }
    
                    }
                }
            }
            printf("%d\n", dp[all].reduce);
            output(all);
        }
        return 0;
    }
    void output(int n)//递归输出名字
    {
        int last = n^dp[n].pre;     //n与dp[n].pre对应的二进制位只有一位是不同的
        int num=0;
    
        last>>=1;       //因为存course时是从0开始存的
        while(last)
        {
            last>>=1;
            num++;      //num表示1所在的位置，既是对应的第几项作业
        }
        if(dp[n].pre != 0)
            output(dp[n].pre);
        printf("%s\n", course[num].name);
    }