Matrix Transformation: Generate, Transpose, and Rotate

You are given two positive integers N and M. Your task is to perform a series of matrix manipulations as described below:

• Generate the original matrix: Create a matrix of size N × M where each element at row i and column j (0-indexed) is computed by the formula: $$a_{ij} = 3i - 2j$$.
• Transpose the matrix: Swap the rows and columns of the original matrix.
• Rotate the transposed matrix 90 degrees clockwise: First, compute the transpose of the transposed matrix, then reverse each row of the result.

You need to output the three matrices: the original matrix, its transpose, and the rotated matrix, in the specified format.

inputFormat

The input contains a single line with two space-separated positive integers N and M (where N, M > 0), representing the number of rows and columns of the matrix respectively.

outputFormat

Output three sections:

1. The first section begins with the line Original Matrix: followed by N lines where each line contains M space-separated integers representing a row of the original matrix.
2. The second section begins with the line Transposed Matrix: followed by the transposed matrix rows (each row on a new line with space-separated integers).
3. The third section begins with the line Rotated Matrix: followed by the rotated matrix rows.

See the sample test cases for clarification.

## sample

3 3

Original Matrix:
0 -2 -4
3 1 -1
6 4 2
Transposed Matrix:
0 3 6
-2 1 4
-4 -1 2
Rotated Matrix:
-4 -2 0
-1 1 3
2 4 6

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