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 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]
]

Solution:

1 2 3    7 8 9    7 4 1 
4 5 6 -> 4 5 6 -> 8 5 2
7 8 9    1 2 3    9 6 3

先将每一行反转, 然后在沿着对角线反转.

class Solution {
 public:
  void rotate(vector<vector<int>>& matrix) {
    reverse(matrix.begin(), matrix.end());
    for (int i = 0; i < matrix.size()-1; i++) {
      for (int j = i+1; j < matrix.size(); j++) {
        swap(matrix[i][j], matrix[j][i]);
      }
    }
  }
};