杭电 HDU ACM 1213 How Many Tables

How Many Tables

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 17049    Accepted Submission(s): 8349

Problem Description

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.

 

Input

The 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.

 

Output

For each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks.

 

Sample Input

25 31 22 34 55 12 5

 

Sample Output

24

 

Author

Ignatius.L

 

Source

杭电ACM省赛集训队选拔赛之热身赛

 

改用了非递归形式的路径压缩，即先循环找到根节点，然后把路径上所有结点设置为根节点值。 注意到每个集合的代表元素就是根结点，然后放入set求大小就行了。

#include<iostream>#include<set>using namespace std;const int T=1003;int F[T];int Find(int x){    int t,r,k;    r=x;    while(F[r]!=r)    {        r=F[r];    }    k=x;    while(k!=r)    {        t=F[k];        F[k]=r;        k=t;    }    return r;}void union_set(int x,int y){    int tx=Find(x);    int ty=Find(y);    if(tx!=ty)    {        F[tx]=ty;    }}int main(){    int t;    cin>>t;    while(t--)    {        set<int>dic;        int n,m;        cin>>n>>m;        for(int i=1;i<=n;i++)            F[i]=i;            for(int k=0;k<m;k++)            {                int a,b;                cin>>a>>b;                union_set(a,b);            }        for(int j=1;j<=n;j++)        {            //cout<<"Find(j)="<<Find(j)<<endl;            dic.insert(Find(j));        }        cout<<dic.size()<<endl;    }    return 0;}