More is better (并查集)

本文介绍了一个算法问题,旨在通过一系列直接朋友关系确定最大可能保留的男孩数量。输入包含直接朋友对的数量及其编号,输出则是根据这些关系能形成的最大团队规模。

摘要生成于 C知道 ,由 DeepSeek-R1 满血版支持, 前往体验 >

Mr Wang wants some boys to help him with a project. Because the project is rather complex, the more boys come, the better it will be. Of course there are certain requirements. 

Mr Wang selected a room big enough to hold the boys. The boy who are not been chosen has to leave the room immediately. There are 10000000 boys in the room numbered from 1 to 10000000 at the very beginning. After Mr Wang's selection any two of them who are still in this room should be friends (direct or indirect), or there is only one boy left. Given all the direct friend-pairs, you should decide the best way. 
InputThe first line of the input contains an integer n (0 ≤ n ≤ 100 000) - the number of direct friend-pairs. The following n lines each contains a pair of numbers A and B separated by a single space that suggests A and B are direct friends. (A ≠ B, 1 ≤ A, B ≤ 10000000)OutputThe output in one line contains exactly one integer equals to the maximum number of boys Mr Wang may keep. 
Sample Input
4
1 2
3 4
5 6
1 6
4
1 2
3 4
5 6
7 8
Sample Output
4
2


        
  
Hint
A and B are friends(direct or indirect), B and C are friends(direct or indirect), 
then A and C are also friends(indirect).

 In the first sample {1,2,5,6} is the result.
In the second sample {1,2},{3,4},{5,6},{7,8} are four kinds of answers.
 
        
 
#include <iostream>
using namespace std;
int t,a,b;
int mmax,maxx;
int cnt[10000002];
int num[10000000];
void init (){
    for(int i=1;i<=10000000;i++){
        cnt[i]=1;
        num[i]=i;
    }
    return;
}
int getdad(int v){
    if(v==num[v])
        return num[v];
    else{
        num[v]=getdad(num[v]);
        return num[v];
    }
}
void merg(int a, int b){
    int f1=getdad(a);
    int f2=getdad(b);
    if(f1!=f2){
        num[f2]=f1;
        cnt[f1]=cnt[f1]+cnt[f2];
    }
    return;
}
int main(){
    while(scanf("%d",&t)!=EOF){
    //cin>>t;
        if(t==0){
            cout<<1<<endl;
            continue;
        }
        mmax=-1;maxx=-1;
        init();
    for(int i=0;i<t;i++){
        cin>>a>>b;
        if(mmax<a)
            mmax=a;
        if(mmax<b)
            mmax=b;
        merg(a,b);
    }
    for(int i=1;i<=mmax;i++){
        if(cnt[i]>maxx)
            maxx=cnt[i];
    }
    cout<<maxx<<endl;
    }
    return 0;
}

评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值