Transpose Matrix

Return transpose of a 2D matrix. Example: [[1,2],[3,4]] => [[1,3],[2,4]]

Your task

Implement this function:

def transpose(matrix: list) -> list:

Write the function only — the arguments are read for you and the return value is printed automatically.

Arguments arrive as one Python literal per line, in this order: matrix.

Example

Input

[[1, 2], [3, 4]]

Output

[[1, 3], [2, 4]]