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hdu 1213 

How Many Tables

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
2
5 3
1 2
2 3
4 5
 
5 1
2 5
 
Sample Output
2
4
이 문제는 주인이 밥을 살 때 서로 아는 (간접적으로) 한 테이블에 배치해야 한다는 뜻이다. 모두 몇 개의 테이블을 차려야 하는지 물어보는 것이 가장 간단한 병문집에 속한다.

 1 #include<stdio.h>

 2  #include<string.h>

 3  int bin[200001];

 4  int find(int x)

 5  {

 6      int r=x;

 7      while(bin[r]!=r)

 8      r=bin[r];

 9      return r;

10  }

11  void merge(int x,int y)

12  {

13      int fx=find(x);

14      int fy=find(y);

15      if(fx!=fy)

16      bin[fx]=fy;

17  }

18  int main()

19  {

20      int n,i,m,h,k,count,j,a,b;

21      scanf("%d",&h);

22      for(k=1;k<=h;k++)

23      {

24          scanf("%d",&n);

25          for(i=1;i<=n;i++)

26          {

27              bin[i]=i;

28          }

29          for(scanf("%d",&m);m>0;m--)

30          {

31              scanf("%d %d",&a,&b);

32              merge(a,b);

33          }

34          for(count=0,i=1;i<=n;i++)

35          {

36              if(bin[i]==i)

37              count++;

38          }

39          printf("%d
",count);

40      }

41      return 0;

42  }

43