Rotate Image — LeetCode 48 Python Solution

MediumArrayMathMatrix
Problem
#48
Reading time
2 min

The problem

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.

Example

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

Python solution

Python
class Solution:
    def rotate(self, matrix: List[List[int]]) -> None:
        n = len(matrix)
        for i in range(n >> 1):
            for j in range(n):
                matrix[i][j], matrix[n - i - 1][j] = matrix[n - i - 1][j], matrix[i][j]
        for i in range(n):
            for j in range(i):
                matrix[i][j], matrix[j][i] = matrix[j][i], matrix[i][j]

Complexity

MeasureComplexity
TimeO(n^2), where n is the side length of the matrix
SpaceO(1) auxiliary

Pattern: Matrix and Grid

Treat a 2-D grid as a graph whose neighbours are the four adjacent cells. LeetCode 48. Rotate Image is filed here because LeetCode tags it Matrix, which is the vocabulary this hub collects.

The matrix and grid guide has the Python template for the pattern and the 216 LeetCode problems that use it.

Related problems

On study lists

This problem is on Blind 75, NeetCode 150 and Top Interview 150.

Frequently asked questions

How hard is LeetCode 48. Rotate Image?
LeetCode 48. Rotate Image is rated Medium on LeetCode.
What is the time complexity of LeetCode 48. Rotate Image?
The Python solution on this page runs in O(n^2), where n is the side length of the matrix.
What is the space complexity of LeetCode 48. Rotate Image?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 48. Rotate Image cover?
LeetCode 48. Rotate Image is tagged Array, Math and Matrix on LeetCode.

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