547. Friend Circles

/*
There are N students in a class. Some of them are friends, while some are not. Their friendship is transitive in nature. For example, if A is a direct friend of B, and B is a direct friend of C, then A is an indirect friend of C. And we defined a friend circle is a group of students who are direct or indirect friends.

Given a N*N matrix M representing the friend relationship between students in the class. If M[i][j] = 1, then the ith and jth students are direct friends with each other, otherwise not. And you have to output the total number of friend circles among all the students.

Example 1:
Input: 
[[1,1,0],
 [1,1,0],
 [0,0,1]]
Output: 2
Explanation:The 0th and 1st students are direct friends, so they are in a friend circle. 
The 2nd student himself is in a friend circle. So return 2.
Example 2:
Input: 
[[1,1,0],
 [1,1,1],
 [0,1,1]]
Output: 1
Explanation:The 0th and 1st students are direct friends, the 1st and 2nd students are direct friends, 
so the 0th and 2nd students are indirect friends. All of them are in the same friend circle, so return 1.
Note:
N is in range [1,200].
M[i][i] = 1 for all students.
If M[i][j] = 1, then M[j][i] = 1.
判断一个班的学生存在多少个朋友圈，任何两个朋友圈的同学没有任何直接或间接的朋友；
可以采用DFS进行遍历，对每一位同学以及涉及的朋友进行打标从而区分不同的朋友圈。
*/

class Solution {
public:
    int findCircleNum(vector<vector<int>>& M) {
        vector<int> visited(M.size(),0);
        int res=0;
        for(int i=0;i<M.size();i++){
            if(visited[i]==0){
                res++;
                dfs(M,visited,i);
            }
        }
        return res;
    }
    void dfs(vector<vector<int>>& M,vector<int>& visited,int ith){
        for(int i=0;i<M.size();i++){
            if(M[ith][i]==1 && visited[i]==0){
                visited[i]=1;
                dfs(M,visited,i);
            }
        }
    }
};