You are given an n x n 2D matrix representing an image. Write a program to rotate the image by 90 degrees (clockwise).

Problem Note

  • You have to rotate the image in-place, which means you have to modify the input 2D matrix directly.

Example 1

Input: 
[
  [1,2,3],
  [4,5,6],
  [7,8,9]
]
Output: Rotate the input matrix in-place such that it becomes:
[
  [7,4,1],
  [8,5,2],
  [9,6,3]
]

Example 2

Input:
[
  [ 5, 1, 9,11],
  [ 2, 4, 8,10],
  [13, 3, 6, 7],
  [15,14,12,16]
]
Output: Rotate the input matrix in-place such that it becomes:
[
  [15,13, 2, 5],
  [14, 3, 4, 1],
  [12, 6, 8, 9],
  [16, 7,10,11]
]