48 Rotate Image

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 NOTallocate 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]
]

首先沿着副对角线翻转一次，然后沿着水平中线翻转一次。

或者，首先沿着水平中线翻转一次，然后沿着主对角线翻转一次。

class Solution {
    public void rotate(int[][] matrix) {
        int n = matrix.length;
        
        // swap based on the horizontal line
        for (int i = 0; i < n / 2; i++) {
            for (int j = 0; j < n; j++) {
                swap(matrix, i, j, n - 1 - i, j);
            }
        }
        
        // swap based on the main diagonal
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                swap(matrix, i, j, j, i);
            }
        }
    }
    
    private void swap(int[][] num, int i, int j, int p, int q) {
        int tmp = num[i][j];
        num[i][j] = num[p][q];
        num[p][q] = tmp;
    }
}