# Walk a Matrix

You are given a `matrix`

represented by an `r x c`

two-dimensional array of integers.
Starting at the root `matrix[row = 0][column = 0]`

and walking from the perimeter of the matrix towards the center,
you want to touch each element once in the matrix by traversing it clockwise in spiral order.
Return a 1-dimensional array of all the elements from the matrix in the order you visited them.

**Write a function walkMatrix that takes an r x c 2D array and returns a 1D array of all the elements in the matrix printed in clockwise order.**

Note: Do not consider the result array when calculating your space complexity.

```
// Input
const matrix = [
[0, 1, 2, 3],
[11, 12, 13, 4],
[10, 15, 14, 5],
[9, 8, 7, 6],
];
// Output: walkMatrix(matrix)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15];
```

## Breakdown

Table of Contents

### Validate My Answer

You can do this in linear time

*O(n)*and only need to visit each cell once.You may be tempted to use an additional data structure which would add an additional linear

*O(n)*space. Based on the board dimensions and location, you can actually solve this with constant space*O(1)*.Ensure you handle your indexes well and don't have off-by-one when tracking or let them bleed into cells you have already visited.

Does your solution handle any board dimension

`r x c`

? The input can be a square, vertical rectangle, or horizontal rectangle.Does your solution handle an empty matrix

`[[]]`

`0 x 0`

input?Does your solution handle a

`1 x c`

and`r x 1`

input correctly without repeating values?

Table of Contents

Test Results

Run your code and see results here...

### Walk a Matrix

You are given a `matrix`

represented by an `r x c`

two-dimensional array of integers.
Starting at the root `matrix[row = 0][column = 0]`

and walking from the perimeter of the matrix towards the center,
you want to touch each element once in the matrix by traversing it clockwise in spiral order.
Return a 1-dimensional array of all the elements from the matrix in the order you visited them.

**Write a function walkMatrix that takes an r x c 2D array and returns a 1D array of all the elements in the matrix printed in clockwise order.**

Note: Do not consider the result array when calculating your space complexity.

```
// Input
const matrix = [
[0, 1, 2, 3],
[11, 12, 13, 4],
[10, 15, 14, 5],
[9, 8, 7, 6],
];
// Output: walkMatrix(matrix)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15];
```