54. Spiral Matrix LeetCode Solution
In this guide, you will get 54. Spiral Matrix LeetCode Solution with the best time and space complexity. The solution to Spiral Matrix problem is provided in various programming languages like C++, Java, and Python. This will be helpful for you if you are preparing for placements, hackathons, interviews, or practice purposes. The solutions provided here are very easy to follow and include detailed explanations.
Table of Contents
- Problem Statement
- Complexity Analysis
- Spiral Matrix solution in C++
- Spiral Matrix solution in Java
- Spiral Matrix solution in Python
- Additional Resources

Problem Statement of Spiral Matrix
Given an m x n matrix, return all elements of the matrix in spiral order.
Example 1:
Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [1,2,3,6,9,8,7,4,5]
Example 2:
Input: matrix = [[1,2,3,4],[5,6,7,8],[9,10,11,12]]
Output: [1,2,3,4,8,12,11,10,9,5,6,7]
Constraints:
m == matrix.length
n == matrix[i].length
1 <= m, n <= 10
-100 <= matrix[i][j] <= 100
Complexity Analysis
- Time Complexity: O(mn)
- Space Complexity: O(1)
54. Spiral Matrix LeetCode Solution in C++
class Solution {
public:
vector<int> spiralOrder(vector<vector<int>>& matrix) {
if (matrix.empty())
return {};
const int m = matrix.size();
const int n = matrix[0].size();
vector<int> ans;
int r1 = 0;
int c1 = 0;
int r2 = m - 1;
int c2 = n - 1;
// Repeatedly add matrix[r1..r2][c1..c2] to `ans`.
while (ans.size() < m * n) {
for (int j = c1; j <= c2 && ans.size() < m * n; ++j)
ans.push_back(matrix[r1][j]);
for (int i = r1 + 1; i <= r2 - 1 && ans.size() < m * n; ++i)
ans.push_back(matrix[i][c2]);
for (int j = c2; j >= c1 && ans.size() < m * n; --j)
ans.push_back(matrix[r2][j]);
for (int i = r2 - 1; i >= r1 + 1 && ans.size() < m * n; --i)
ans.push_back(matrix[i][c1]);
++r1, ++c1, --r2, --c2;
}
return ans;
}
};
/* code provided by PROGIEZ */
54. Spiral Matrix LeetCode Solution in Java
class Solution {
public List<Integer> spiralOrder(int[][] matrix) {
if (matrix.length == 0)
return new ArrayList<>();
final int m = matrix.length;
final int n = matrix[0].length;
List<Integer> ans = new ArrayList<>();
int r1 = 0;
int c1 = 0;
int r2 = m - 1;
int c2 = n - 1;
// Repeatedly add matrix[r1..r2][c1..c2] to `ans`.
while (ans.size() < m * n) {
for (int j = c1; j <= c2 && ans.size() < m * n; ++j)
ans.add(matrix[r1][j]);
for (int i = r1 + 1; i <= r2 - 1 && ans.size() < m * n; ++i)
ans.add(matrix[i][c2]);
for (int j = c2; j >= c1 && ans.size() < m * n; --j)
ans.add(matrix[r2][j]);
for (int i = r2 - 1; i >= r1 + 1 && ans.size() < m * n; --i)
ans.add(matrix[i][c1]);
++r1;
++c1;
--r2;
--c2;
}
return ans;
}
}
// code provided by PROGIEZ
54. Spiral Matrix LeetCode Solution in Python
class Solution:
def spiralOrder(self, matrix: list[list[int]]) -> list[int]:
if not matrix:
return []
m = len(matrix)
n = len(matrix[0])
ans = []
r1 = 0
c1 = 0
r2 = m - 1
c2 = n - 1
# Repeatedly add matrix[r1..r2][c1..c2] to `ans`.
while len(ans) < m * n:
j = c1
while j <= c2 and len(ans) < m * n:
ans.append(matrix[r1][j])
j += 1
i = r1 + 1
while i <= r2 - 1 and len(ans) < m * n:
ans.append(matrix[i][c2])
i += 1
j = c2
while j >= c1 and len(ans) < m * n:
ans.append(matrix[r2][j])
j -= 1
i = r2 - 1
while i >= r1 + 1 and len(ans) < m * n:
ans.append(matrix[i][c1])
i -= 1
r1 += 1
c1 += 1
r2 -= 1
c2 -= 1
return ans
# code by PROGIEZ
Additional Resources
- Explore all LeetCode problem solutions at Progiez here
- Explore all problems on LeetCode website here
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