Practice Problem

Rotate Image

Difficulty: Medium

Rotate an n x n 2D matrix by 90 degrees clockwise in-place, without allocating another matrix.

Rotate Image

You are given an n x n 2D matrix representing an image. Rotate the image by 90 degrees clockwise.

You must rotate the image in-place, meaning you must modify the input 2D matrix directly. Do not allocate another 2D matrix for the rotation.

Examples

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]]

Example 3:

Input: matrix = [[1]]
Output: [[1]]

Constraints

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

Expected Complexity

  • Time: O(n^2)
  • Space: O(1)
MEDIUM
Arrays
Matrix Algorithms
Matrix Traversal
Rotate Matrix
In-Place
Intermediate

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