Ubiquitous Religions
Time Limit: 5000MS Memory Limit: 65536K
Total Submissions: 20197 Accepted: 9920
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 9
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
10 4
2 3
4 5
4 8
5 8
0 0
Sample Output
Case 1: 1
Case 2: 7這是一道水題,基本就直接套模板就行了,不需要被別的什麼東西,尼瑪,結果就這樣一個破題,因為模板敲錯了,結果就wa了半天,,最後被小bb一眼看出了錯誤,接著才過,下面是代碼:
#include <cstdio> #include <cstring> #include <iostream> #include <algorithm> using namespace std; const int maxn=10000000; int pre[maxn]; int find(int v){ return pre[v]==v?v:find(pre[v]); } void join(int a,int b){ int f1=find(a),f2=find(b); if(f1!=f2) pre[f1]=f2; } int main(){ int n,m; int count; for(count=1;;count++){ cin>>n>>m; if(n==0&&m==0) break; for(int i=1;i<=n;i++){ pre[i]=i; } int max=n; for(int i=1;i<=m;i++){ int a,b; cin>>a>>b; if(find(a)!=find(b)) max=max-1; join(a,b); } printf("Case %d: ",count); printf("%d\n",max); } return 0; }