48. Rotate Image.py

'''
You are given an n x n 2D matrix representing an image.
Rotate the image by 90 degrees (clockwise).

Note:
You have to rotate the image in-place, which means you have to modify the input 2D matrix directly. 
DO NOT allocate another 2D matrix and do the rotation.

Example 1:
Given input matrix = 
[
  [1,2,3],
  [4,5,6],
  [7,8,9]
],

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

Example 2:
Given input matrix =
[
  [ 5, 1, 9,11],
  [ 2, 4, 8,10],
  [13, 3, 6, 7],
  [15,14,12,16]
], 

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]
]
'''

class Solution:
    def rotate(self, matrix):
        """
        Do not return anything, modify matrix in-place instead.
        """
        l = len(matrix)
        if l==1 or l==0:
            return
        for i in range(l//2):
            for j in range(i,l-1):
                matrix[i][j],matrix[j][l-1] = matrix[j][l-1], matrix[i][j]
                matrix[i][j],matrix[l-1][l-1-j+i] = matrix[l-1][l-1-j+i], matrix[i][j]
                matrix[i][j],matrix[l-1-j+i][i] = matrix[l-1-j+i][i], matrix[i][j]
            l-=1
        return