[LeetCode]—Permutations 求全排列

Permutations

 

Given a collection of numbers, return all possible permutations.

For example,
[1,2,3] have the following permutations:
[1,2,3][1,3,2][2,1,3][2,3,1][3,1,2], and [3,2,1].

分析:

          解法一:使用STL中next_permutations函数,如果需要自己实现见:[LeetCode]—Next Permutation (全排列字典序)

          解法二:采用DFS深搜的办法,并用一个数组标记该元素是否被访问过。

    

class Solution {
public:
    vector<vector<int> > permute(vector<int> &num) {
        vector<vector<int> > res;
        vector<int> cur;
        int count;
        int n=num.size();
        if(n<=1){
            res.push_back(num);
            return res;
        }
        int *bit=new int[n];    //表示该元素是否被访问过
        memset(bit,0,sizeof(int)*n);
        
        DFS(res,cur,num,0,bit);
        return  res;
    }
private:
   void DFS(vector<vector<int> > &res,vector<int> &cur,vector<int> &num,int count,int *bit){
       int n=num.size();
       if(count==n){
            res.push_back(cur);
            return;
       }
       for(int i=0;i<n;i++){
          if(!bit[i]){
             cur.push_back(num[i]);
             bit[i]=1;
             DFS(res,cur,num,count+1,bit);
             bit[i]=0;
             cur.pop_back();
          }
       }
    }
};


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