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| Time Limit: 5000MS | | Memory Limit: 65536K |
| Total Submissions: 25316 | | Accepted: 12489 |
Description
There are so many different religions in the world today that it is difficult to keep track of them all. You are interested in finding out how many different religions students in your university believe in.
You know that there are n students in your university (0 < n <= 50000). It is infeasible for you to ask every student their religious beliefs. Furthermore, many students are not comfortable expressing their beliefs. One way to avoid these problems is to ask m (0 <= m <= n(n-1)/2) pairs of students and ask them whether they believe in the same religion (e.g. they may know if they both attend the same church). From this data, you may not know what each person believes in, but you can get an idea of the upper bound of how many different religions can be possibly represented on campus. You may assume that each student subscribes to at most one religion.
Input
The input consists of a number of cases. Each case starts with a line specifying the integers n and m. The next m lines each consists of two integers i and j, specifying that students i and j believe in the same religion. The students are numbered 1 to n. The end of input is specified by a line in which n = m = 0.
Output
For each test case, print on a single line the case number (starting with 1) followed by the maximum number of different religions that the students in the university believe in.
Sample Input
10 91 21 31 41 51 61 71 81 91 1010 42 34 54 85 80 0
Sample Output
Case 1: 1Case 2: 7
Hint
Huge input, scanf is recommended.
题意：在一个大学里面有的学生信仰多少个不同的宗教，注意一点就是下面没出现的学生，视为他们各自信仰不同的宗教
并查集模板：
int father[MAX],rank[MAX];void init(int n){ for (int i=1;i<=n;i++){ father[i]=i; rank[i]=1; }}int find(int x){ if (x!=father[x]) father[x] = find(father[x]); //路径压缩 return father[x];}void Union(int x,int y){ int i=find(x); int j=find(y); if (i==j) return; if (rank[i] 本题代码：
#include #include using namespace std;int father[50000+1],rank[50000+1];void init(int n){ for (int i=1;i<=n;i++){ father[i]=i; rank[i]=1; }}int find(int x){ if (x!=father[x]) father[x] = find(father[x]); //路径压缩 return father[x];}void Union(int x,int y){ int i=find(x); int j=find(y); if (i==j) return; if (rank[i] >n>>m){ if (n==0&&m==0) break; init(n); for (int i=0;i >x>>y; Union(x,y); } int ans=0; for (int i=1;i<=n;i++){ if (i==father[i]) ans++; } cout<<"Case "< <<": "< <
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