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Given a matrix A, return the transpose of A.

The transpose of a matrix is the matrix flipped over it's main diagonal, switching the row and column indices of the matrix.

 

Example 1:

Input: [[1,2,3],[4,5,6],[7,8,9]]
Output: [[1,4,7],[2,5,8],[3,6,9]]

Example 2:

Input: [[1,2,3],[4,5,6]]
Output: [[1,4],[2,5],[3,6]]

 

Note:

  1. 1 <= A.length <= 1000
  2. 1 <= A[0].length <= 1000

 

 

 

 class Solution {  
 public:  
   vector<vector<int>> transpose(vector<vector<int>>& A) {  
     int M = A.size(), N=A[0].size();  
     vector<vector<int>>B(N,vector<int>(M,0));  
     for (int j = 0 ; j<N;j++)  
     for (int i = 0 ; i<M;i++)  
       B[j][i] = A[i][j];  
     return B;  
   }  
 };  
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