湖南中医药大学2017年集训队第四场选拔赛-Problem F: Virtual Friends

本文介绍了一个使用并查集算法解决的问题:通过跟踪在线建立的虚拟友谊关系来计算社交网络的规模。每形成一个新友谊,程序会输出该友谊涉及的两个人所在的社交网络总人数。

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Problem F: Problem C: Virtual Friends

Time Limit: 5 Sec Memory Limit: 128 MB
Submit: 106 Solved: 55
[Submit][Status][Web Board]
Description

Problem C: Virtual Friends

These days, you can do all sorts of things online. For example, you can use various websites to make virtual friends. For some people, growing their social network (their friends, their friends’ friends, their friends’ friends’ friends, and so on), has become an addictive hobby. Just as some people collect stamps, other people collect virtual friends.

Your task is to observe the interactions on such a website and keep track of the size of each person’s network.

Assume that every friendship is mutual. If Fred is Barney’s friend, then Barney is also Fred’s friend.

Input

The first line of input contains one integer specifying the number of test cases to follow. Each test case begins with a line containing an integer F, the number of friendships formed, which is no more than 100 000. Each of the following F lines contains the names of two people who have just become friends, separated by a space. A name is a string of 1 to 20 letters (uppercase or lowercase).

Output

Whenever a friendship is formed, print a line containing one integer, the number of people in the social network of the two people who have just become friends.

Sample Input

1
3
Fred Barney
Barney Betty
Betty Wilma
Sample Output

2
3
4

[分析]
就是挺中规中矩的一个并查集。见过这题,请教过大佬,这回做出来了,开心。
[代码]

#include <cstdio>  
#include <map> 
#include <string>  
using namespace std;

map<string, int>mp;
int n, dad[100006], sum[100006];

int getdad(int a)
{
    if (dad[a] == a)
        return a;
    else
    {
        dad[a] = getdad(dad[a]);
        return dad[a];
    }
}

int Merge(int a, int b)
{
    a = getdad(a);
    b = getdad(b);
    if (a!= b)
    {
        dad[a] = b;
        sum[b] += sum[a];
    }
    return sum[b];
}

int main()
{
    int t, n;
    char a[30], b[30];
    while (scanf("%d", &t) != EOF)
    {
        while (t--)
        {
            mp.clear();
            int num = 1;
            scanf("%d", &n);
            for (int i = 1; i<100005; i++)
            {
                dad[i] = i;
                sum[i] = 1;
            }
            for(int i=0;i<n;i++)
            {
                scanf("%s%s", a, b);
                if (!mp[a])mp[a] = num++;
                if (!mp[b])mp[b] = num++;
                printf("%d\n", Merge(mp[a], mp[b]));
            }
        }
    }
    return 0;
}
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