## Rotate Image

### 描述

You are given an n × n 2D matrix representing an image.

Rotate the image by 90 degrees (clockwise).

Follow up: Could you do this in-place?

### 代码1

// Rotate Image
// 思路 1，时间复杂度O(n^2)，空间复杂度O(1)
public class Solution {
public void rotate(final int[][] matrix) {
final int n = matrix.length;

for (int i = 0; i < n; ++i)  // 沿着副对角线反转
for (int j = 0; j < n - i; ++j)
swap(matrix, i, j, n - 1 - j, n - 1 - i);

for (int i = 0; i < n / 2; ++i) // 沿着水平中线反转
for (int j = 0; j < n; ++j)
swap(matrix, i, j, n - 1 - i, j);
}
private static void swap(final int[][] matrix,
int i, int j, int p, int q) {
int tmp = matrix[i][j];
matrix[i][j] = matrix[p][q];
matrix[p][q] = tmp;
}
};

### 代码2

// Rotate Image
// 思路 2，时间复杂度O(n^2)，空间复杂度O(1)
public class Solution {
public void rotate(final int[][] matrix) {
final int n = matrix.length;

for (int i = 0; i < n / 2; ++i) // 沿着水平中线反转
for (int j = 0; j < n; ++j)
swap(matrix, i, j, n - 1 - i, j);

for (int i = 0; i < n; ++i)  // 沿着主对角线反转
for (int j = i + 1; j < n; ++j)
swap(matrix, i, j, j, i);
}
private static void swap(final int[][] matrix,
int i, int j, int p, int q) {
int tmp = matrix[i][j];
matrix[i][j] = matrix[p][q];
matrix[p][q] = tmp;
}
};