You are given an $$$n \times n$$$ 2D matrix representing an image. Rotate the image by $$$90^\circ$$$ in the clockwise direction.
You must perform the rotation in-place, which means you must modify the original matrix directly. You must not allocate another 2D matrix to perform the rotation.
The first line contains a single integer $$$n$$$ ($$$1 \le n \le 100$$$) — the size of the matrix.
Each of the next $$$n$$$ lines contains $$$n$$$ integers $$$a_{i,1}, a_{i,2}, \dots, a_{i,n}$$$ ($$$-10^9 \le a_{i,j} \le 10^9$$$) — the elements of the matrix.
Print $$$n$$$ lines, each containing $$$n$$$ integers, the matrix rotated by $$$90^\circ$$$ clockwise.
Input:
3 1 2 3 4 5 6 7 8 9
Output:
7 4 1 8 5 2 9 6 3
In the given example, it is visible that the given matrix has been converted to the 90 degrees clockwise direction.