Given an image represented by an N x N matrix, where each pixel in the image is 4 bytes, write a method to rotate the image by 90 degrees. Can you do this in place?

 

Example 1:


Given matrix = 

[

  [1,2,3],

  [4,5,6],

  [7,8,9]

],



Rotate the matrix in place. It becomes:

[

  [7,4,1],

  [8,5,2],

  [9,6,3]

]

Example 2:


Given matrix =

[

  [ 5, 1, 9,11],

  [ 2, 4, 8,10],

  [13, 3, 6, 7],

  [15,14,12,16]

], 



Rotate the matrix in place. It becomes:

[

  [15,13, 2, 5],

  [14, 3, 4, 1],

  [12, 6, 8, 9],

  [16, 7,10,11]

]