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[leetcode]Rotate Image

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?

CC上的原题,大概还记得,时间复杂度O(n ^ 2),空间O(1)。

算法思路:

每一次转置相映成环的四个点。这四个点的坐标与n有关,可通过归纳法求出四个对应点的坐标关系

代码如下:

 1 public class Solution { 2     public void rotate(int[][] matrix) { 3         if(matrix == null || matrix.length == 0 ) return ; 4         int n = matrix.length; 5         int tem = 0; 6         for(int i = 0; i < n >> 1; i++){ 7             for(int j = i; j < n - i - 1; j++){ 8                 tem = matrix[i][j]; 9                 matrix[i][j] = matrix[n - 1 - j][i];10                 matrix[n - 1 - j][i] = matrix[n - 1 - i][n - 1- j];11                 matrix[n - 1 - i][n - 1 - j] = matrix[j][n - 1 - i];12                 matrix[j][n - 1 - i] = tem;13             }14         }15     }16 }

这四个坐标的对应关系真心蛋疼.....