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旋转图像

Rotate Image

专题
Algorithmic Programming / 算法编程
难度
L3
来源
Citadel

题目详情

问题:旋转图像

考察:数组

来源:Citadel

链接:https://www.jointaro.com/interviews/questions/rotate-image/

You are given an n x n 2D matrix representing an image, rotate the image by 90 degrees (clockwise).

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:

Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [[7,4,1],[8,5,2],[9,6,3]]

Example 2:

Input: matrix = [[5,1,9,11],[2,4,8,10],[13,3,6,7],[15,14,12,16]]
Output: [[15,13,2,5],[14,3,4,1],[12,6,8,9],[16,7,10,11]]

 

Constraints:

  • n == matrix.length == matrix[i].length
  • 1 <= n <= 20
  • -1000 <= matrix[i][j] <= 1000
解析

思路:原地旋转矩阵可以先沿主对角线转置,再反转每一行;等价于顺时针旋转 90 度。

复杂度:时间 O(n^2),额外空间 O(1)。