Spiral Matrix
Given an m x n matrix, return all elements in spiral order.
Output space-separated.
Example:
1,2,3 4,5,6 7,8,9
1 2 3 6 9 8 7 4 5
- We start at the top row and move right, printing elements in order: 1, 2, 3
- Then, we move down to the next row and print the last element of the current column: 6
- Next, we move left along the bottom row, printing elements in reverse order: 9, 8, 7
- Finally, we move up the first column, printing the remaining element: 4, 5, resulting in the spiral order: 1 2 3 6 9 8 7 4 5
Constraints:
- 1 <= m, n <= 10
- -100 <= matrix[i][j] <= 100
Background Knowledge
The Spiral Matrix problem involves traversing a 2D matrix in a spiral order, which means starting from the top-left corner and moving in a clockwise direction. To understand this problem, it's essential to have a good grasp of matrix operations and array indexing. In a 2D matrix, each element is identified by its row and column index, typically represented as (i, j), where i is the row index and j is the column index.
The concept of spiral order is crucial in this problem. It involves traversing the matrix in a specific pattern, where we move right, then down, then left, and finally up, repeating this process until all elements are visited. This pattern requires careful management of the matrix boundaries and the current position. Understanding how to update the boundaries and the current position is vital to solving this problem.
To tackle this problem, it's also helpful to have experience with looping constructs, such as for loops or while loops, and conditional statements, like if statements. These constructs will be used to control the flow of the traversal and to handle the different directions of the spiral.
Algorithm/Approach
The general approach to solving the Spiral Matrix problem involves using a boundary-based approach. This means we'll maintain four boundaries: top, bottom, left, and right, which represent the current limits of the matrix. We'll then use a loop to traverse the matrix in a spiral order, updating the boundaries and the current position at each step.
Continue the full explanation
You're reading the free preview. Unlock the complete walkthrough, the code editor, test runner and reference solution with Premium.
Editor locked
The code editor is locked for Pro problems. It is only available for free problems. Please upgrade to gain access to the code editor for all problems.