You are given an m $\times$ n integer matrix grid, where both m and n are even integers, and an integer k.

The matrix is composed of concentric rectangular layers. Rotate each layer of the matrix cyclically in the counterclockwise direction by k positions.

Return the modified grid after performing the rotations.

Constraints:

• m == grid.length

• n == grid[i].length

• $2 \leq$ m, n $\leq 50$

• Both m and n are even integers.

• $1 \leq$ grid[i][j] $\leq 5000$

• $1 \leq$ k $\leq 10^9$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.