【leetcode刷题笔记】Rotate Image

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

Rotate the image by 90 degrees (clockwise).

Follow up:
Could you do this in-place?


 

题解:

如果要原地算法的话,就只能用交换实现了。首先把matrix[i][j]和matrix[j][i]交换,然后把整个矩阵左右翻转,如下图所示:

1 2 3                   1 4 7                      7 4 1

4 5 6                   2 5 8                      8 5 2

7 8 9                   3 6 9                      9 6 3

JAVA代码:

 1 public class Solution {

 2     public void rotate(int[][] matrix) {

 3         int n = matrix.length;

 4         for(int i = 0;i < n;i++){

 5             for(int j = i+1;j < n;j++){

 6                 int temp = matrix[i][j];

 7                 matrix[i][j] = matrix[j][i];

 8                 matrix[j][i] = temp;

 9             }

10             for(int j = 0;j < n/2;j++){

11                 int temp = matrix[i][j];

12                 matrix[i][j] = matrix[i][n-j-1];

13                 matrix[i][n-j-1] = temp;

14             }

15         }

16     }

17 }

 

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