Matrix Operations

You are given a task to perform one of three matrix operations based on the input command. The operations are as follows:

• Create Matrix: Given two positive integers \(r\) and \(c\), create an \(r \times c\) matrix initialized with zeros.
• Transpose Matrix: Given a matrix of size \(r \times c\), compute its transpose (an \(c \times r\) matrix). The transpose of a matrix \(A=[a_{ij}]\) is defined by \(A^T=[a_{ji}]\).
• Flatten Matrix: Given a matrix, output the flattened version of the matrix in row-major order as a single line.

The program reads the operation code and the relevant matrix data from standard input and prints the result to standard output.

Input Operation Codes:

• 1: Create Matrix
• 2: Transpose Matrix
• 3: Flatten Matrix

inputFormat

The input begins with a single integer representing the operation code.

• If the operation code is 1 (Create Matrix):
• The next line contains two space-separated integers \(r\) and \(c\), representing the number of rows and columns.
• If the operation code is 2 (Transpose Matrix) or 3 (Flatten Matrix):
• The next line contains two space-separated integers \(r\) and \(c\).
• Then follow \(r\) lines, each containing \(c\) space-separated integers representing the matrix rows.

All input is provided via stdin.

outputFormat

For operation 1 (Create Matrix) and 2 (Transpose Matrix):

• Print the resulting matrix with each row on a new line and the elements separated by a single space.

For operation 3 (Flatten Matrix):

• Print the flattened matrix as a single line with the elements separated by a single space.

All output must be printed to stdout.

## sample

1
2 3

0 0 0
0 0 0

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