[kuangbin带你飞]专题五并查集 C - How Many Tables

客官°小女子只卖身不卖艺 2023-08-17 15:41 62阅读 0赞

# C - How Many Tables #

题目链接：[https://vjudge.net/contest/66964\#problem/C][https_vjudge.net_contest_66964_problem_C]

题目：

Today is Ignatius' birthday. He invites a lot of friends. Now it's dinner time. Ignatius wants to know how many tables he needs at least. You have to notice that not all the friends know each other, and all the friends do not want to stay with strangers.  
  
One important rule for this problem is that if I tell you A knows B, and B knows C, that means A, B, C know each other, so they can stay in one table.  
  
For example: If I tell you A knows B, B knows C, and D knows E, so A, B, C can stay in one table, and D, E have to stay in the other one. So Ignatius needs 2 tables at least.

InputThe input starts with an integer T(1<=T<=25) which indicate the number of test cases. Then T test cases follow. Each test case starts with two integers N and M(1<=N,M<=1000). N indicates the number of friends, the friends are marked from 1 to N. Then M lines follow. Each line consists of two integers A and B(A!=B), that means friend A and friend B know each other. There will be a blank line between two cases.  
OutputFor each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks.  
Sample Input

2
    5 3
    1 2
    2 3
    4 5
    
    5 1
    2 5

Sample Output

2
    4
    题意：说有n个人要来参加生日聚会，认识的人坐在一个桌上，如果A->B，B->C,那么ABC坐在一个桌上，求有多少个桌子
    思路：找每个人的“爸爸”即可，看有多少个“爸爸”就是有多少个桌子辽，用set存储“爸爸”即可，输出st.size(),即就是答案，注意下标从1开始，一开始俺从0开始俺就WA了一发

//
    // Created by hy on 2019/7/23.
    //
    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <queue>
    #include<set>using namespace std;
    const int maxn=3e4+10;
    int father[maxn];
    int find(int x)
    {
        if(x==father[x])
            return x;
        return father[x]=find(father[x]);
    }
    void merge(int x,int y)
    {
        int xx=find(x);
        int yy=find(y);
        if(xx!=yy)
            father[xx]=yy;
    }
    int main()
    {
        int T;
        scanf("%d",&T);
        while(T--)
        {
            int n,m;
            scanf("%d%d",&n,&m);
            for(int i=1;i<=n;i++)
                father[i]=i;
            int x,y;
            for(int i=0;i<m;i++)
            {
                scanf("%d%d",&x,&y);
                merge(x,y);
            }
            set<int>st;
            for(int i=1;i<=n;i++)
            {
                int cun=find(i);
                st.insert(cun);
            }
            printf("%d\n",st.size());
        }
        return 0;
    }

转载于:https://www.cnblogs.com/Vampire6/p/11234208.html

[https_vjudge.net_contest_66964_problem_C]: https://vjudge.net/contest/66964#problem/C