Junk-Mail Filter

Junk-Mail Filter
Submit: 160   Accepted:47
Time Limit: 2000MS  Memory Limit: 65536K
Description
Recognizing junk mails is a tough task. The method used here consists of two steps:
1) Extract the common characteristics from the incoming email.
2) Use a filter matching the set of common characteristics extracted to determine whether the email is a spam.

We want to extract the set of common characteristics from the N sample junk emails available at the moment, and thus having a handy data-analyzing tool would be helpful. The tool should support the following kinds of operations:

a) “M X Y”, meaning that we think that the characteristics of spam X and Y are the same. Note that the relationship defined here is transitive, so
relationships (other than the one between X and Y) need to be created if they are not present at the moment.

b) “S X”, meaning that we think spam X had been misidentified. Your tool should remove all relationships that spam X has when this command is received; after that, spam X will become an isolated node in the relationship graph.

Initially no relationships exist between any pair of the junk emails, so the number of distinct characteristics at that time is N.
Please help us keep track of any necessary information to solve our problem.

Input
There are multiple test cases in the input file.
Each test case starts with two integers, N and M (1 ≤ N ≤ 10^5 , 1 ≤ M ≤ 10^6), the number of email samples and the number of operations. M lines follow, each line is one of the two formats described above.
Two successive test cases are separated by a blank line. A case with N = 0 and M = 0 indicates the end of the input file, and should not be processed by your program.

Output
For each test case, please print a single integer, the number of distinct common characteristics, to the console. Follow the format as indicated in the sample below.


Sample Input

5 6
M 0 1
M 1 2
M 1 3
S 1
M 1 2
S 3

3 1
M 1 2

0 0


Sample Output

Case #1: 3
Case #2: 2

并查集，但是要注意拆点的情况(注意如何初始化)

#include<iostream>

#include<algorithm>

using namespace std;

#define inf 1000000000

#define maxn 2100

int n,m;

int fat[2300000],CN;

int a[1000005];

int find(int x)

{

       if(x!=fat[x])

              fat[x]=find(fat[x]);

       return fat[x];

}

int main()

{

       int i,j,cas=1,x,y,p1,p2;

       char s[10];

       while(scanf("%d%d",&n,&m),n|m)

       {
              /* 这里初始化时并没有让每个点指向自身，而是指向i+n, 这样初始化是为了拆分时的操作 */
              for(i=0;i<n;i++)

                     fat[i]=i+n;

              for(i=n;i<=n+m+n;i++)

                     fat[i]=i;

              CN=n+n;

              for(i=0;i<m;i++)

              {

                     scanf("%s",s);

                     if(s[0]=='M')

                     {

                            scanf("%d%d",&x,&y);

                            p1=find(x);

                            p2=find(y);

                            if(p1!=p2)

                            {

                                   fat[p1]=p2;

                            }

                     }
                     /* 如果要拆分该点，直接让它指向一个新节点就可以了，初始化就是为了这一步拆分不会影响到集合中的其他节点 */
                     else if(s[0]=='S')

                     {

                            scanf("%d",&x);

                            fat[x]=CN++;

                     }

              }

              for(i=0;i<n;i++)

                     a[i]=find(i);

              sort(a,a+n);

              int ans=1;

              for(i=1;i<n;i++)

              {

                     if(a[i]!=a[i-1])

                            ans++;

              }

              printf("Case #%d: %d\n",cas++,ans);

       }

       return 0;

}

原文链接
http://hi.baidu.com/aconly/blog/item/91062962008e81690c33faa1.html