PAT甲级【2019年3月考题】——A1158 TelefraudDetection【25】

Telefraud（电信诈骗） remains a common and persistent problem in our society. In some cases, unsuspecting victims lose their entire life savings. To stop this crime, you are supposed to write a program to detect those suspects from a huge amount of phone call records.

A person must be detected as a suspect if he/she makes more than K short phone calls to different people everyday, but no more than 20% of these people would call back. And more, if two suspects are calling each other, we say they might belong to the same gang. A makes a short phone call to B means that the total duration of the calls from A to B is no more than 5 minutes.

Input Specification:
Each input file contains one test case. For each case, the first line gives 3 positive integers K (≤500, the threshold（阈值） of the amount of short phone calls), N (≤103 10^310
3
​​ )​​ , the number of different phone numbers), and M (≤105 10^510
5
​​ )​​ , the number of phone call records). Then M lines of one day’s records are given, each in the format:

caller receiver duration
where caller and receiver are numbered from 1 to N, and duration is no more than 1440 minutes in a day.

Output Specification:
Print in each line all the detected suspects in a gang, in ascending order of their numbers. The gangs are printed in ascending order of their first members. The numbers in a line must be separated by exactly 1 space, and there must be no extra space at the beginning or the end of the line.

If no one is detected, output None instead.

Sample Input 1:
5 15 31
1 4 2
1 5 2
1 5 4
1 7 5
1 8 3
1 9 1
1 6 5
1 15 2
1 15 5
3 2 2
3 5 15
3 13 1
3 12 1
3 14 1
3 10 2
3 11 5
5 2 1
5 3 10
5 1 1
5 7 2
5 6 1
5 13 4
5 15 1
11 10 5
12 14 1
6 1 1
6 9 2
6 10 5
6 11 2
6 12 1
6 13 1
Sample Output 1:
3 5
6
Note: In sample 1, although 1 had 9 records, but there were 7 distinct receivers, among which 5 and 15 both had conversations lasted more than 5 minutes in total. Hence 1 had made 5 short phone calls and didn’t exceed the threshold 5, and therefore is not a suspect.

Sample Input 2:
5 7 8
1 2 1
1 3 1
1 4 1
1 5 1
1 6 1
1 7 1
2 1 1
3 1 1
Sample Output 2:
None

【声明】

　　由于此题还未上PAT官网题库，故没有测试集，仅仅是通过了样例，若发现错误，感谢留言指正。

Solution：　　

　　判断电话诈骗分子，当一个人与>k个不同的人打短时间【<= 5分钟】通话，且这些人中只有不超过20%的人给回了电话，那么这个人就是诈骗犯；

　　当相互有通话的诈骗犯是认为同一组；

　　输出按组内升序，组间按第一个组员升序的格式输出。　

　　使用邻接矩阵记录通过时间【累计通话时间】，然后分别记录每个人满足要求的打出的电话人数以及回电话的人数，最后将相互通话的嫌疑犯视为一组。

　　注重细节哦。

　　

 #include <iostream>
 #include <vector>
 #include <map>
 using namespace std;
 int main()
 {
     int k, n, m, t;
     cin >> k >> n >> m;
     vector<int>call(n + , ), back(n + , );//短电话打出去的记录和这些人打回进来的记录
     vector<vector<int>>v(n + , vector<int>(n + , ));//电话记录,记住记录的是累计的通话时间
     while (m--)
     {
         int a, b, c;
         cin >> a >> b >> c;
         v[a][b] += c;//算累加通话时间的
     }
     for (int i =; i <= n; ++i)
     {
         for (int j = ; j <= n; ++j)
         {
             if (v[i][j]> && v[i][j] <= )//这通话时间算是短电话
             {
                 ++call[i];//计算i打出去的人数
                 if (v[j][i] > )//这是j回给了i的
                     ++back[i];//计算回给i的人数
             }
         }
     }
     vector<int>suspect, team(n + , );//统计诈骗犯的人数和初始化他们的团队号
     for (int i = ; i <= n; ++i)
     {
         if (call[i] > k && call[i] >= back[i]*)//打出去的人数大于阈值k，回电话的人数不多于打出去的20%,注意
         {
             team[i] = i;//用来算同谋的
             suspect.push_back(i);
         }
     }
     for (int i = ; i < suspect.size(); ++i)//这里虽然是双重循环，但是诈骗犯的数量级很小的，所以这里应该不会超时间的，当然，超了的话，就用DFS即可
         for (int j = i + ; j < suspect.size(); ++j)
             if (v[suspect[i]][suspect[j]] >  && v[suspect[j]][suspect[i]] > )//这两个诈骗人相互打过电话
                 team[suspect[j]] = team[suspect[i]];
     map<int, vector<int>>res;
     for (int i = ; i <= n; ++i)
         if (team[i] > )
             res[team[i]].push_back(i);//将属于同一伙的诈骗犯放一组
     if (suspect.size() == )
         printf("None");
     else
     {
         for (auto ptr = res.begin(); ptr != res.end(); ++ptr)
         {
             for (int i = ; i < ptr->second.size(); ++i)//由于遍历是从小到大的，所以不用排序
                 printf("%s%d", i ==  ? "" : " ", ptr->second[i]);
             printf("\n");
         }
     }
     return ;
 }