hdu 1213How Many Tables

How Many Tables

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 27633    Accepted Submission(s): 13716

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

 

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#include<iostream>#include<math.h>#include<memory.h>using namespace std;int a[1001];int find(int t){if(t!=a[t])a[t]=find(a[t]);return a[t];}int main(){int n,m,t;cin>>t;while(t--){  cin>>n>>m;   int num,x,y;//记录还需要的路的数目    for(int i=0;i<=n;i++)//并查集初始化        a[i]=i;    num=n;//最坏的情况下需要的路的数目    for(int i=0;i<m;i++){cin>>x>>y;x=find(x);//找x的祖先 y=find(y);//找y的祖先 if(x!=y)//x和y的祖先不相同增加一条路 {a[y]=x;// num--;} }  cout<<num<<endl; }}