Spiral Matrix — LeetCode 54 Python Solution

MediumArrayMatrixSimulation
Problem
#54
Reading time
3 min

The problem

Given an m x n matrix, return all elements of the matrix in spiral order.

Example

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

Python solution

Python
class Solution:
    def spiralOrder(self, matrix: List[List[int]]) -> List[int]:
        m, n = len(matrix), len(matrix[0])
        dirs = (0, 1, 0, -1, 0)
        vis = [[False] * n for _ in range(m)]
        i = j = k = 0
        ans = []
        for _ in range(m * n):
            ans.append(matrix[i][j])
            vis[i][j] = True
            x, y = i + dirs[k], j + dirs[k + 1]
            if x < 0 or x >= m or y < 0 or y >= n or vis[x][y]:
                k = (k + 1) % 4
            i += dirs[k]
            j += dirs[k + 1]
        return ans

Complexity

MeasureComplexity
TimeO(m \times n)
SpaceO(m \times n) auxiliary

Pattern: Matrix and Grid

Treat a 2-D grid as a graph whose neighbours are the four adjacent cells. LeetCode 54. Spiral Matrix is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Matrix.

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, Grind 75 and Top Interview 150.

Frequently asked questions

How hard is LeetCode 54. Spiral Matrix?
LeetCode 54. Spiral Matrix is rated Medium on LeetCode.
What is the time complexity of LeetCode 54. Spiral Matrix?
The Python solution on this page runs in O(m \times n).
What is the space complexity of LeetCode 54. Spiral Matrix?
The Python solution on this page uses O(m \times n) auxiliary space.
What topics does LeetCode 54. Spiral Matrix cover?
LeetCode 54. Spiral Matrix is tagged Array, Matrix and Simulation on LeetCode.

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