Matrix Column Sums

Return list of column sums. Example: [[1,2,3],[4,5,6]] => [5,7,9]

Your task

Implement this function:

def matrix_column_sums(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, 5, 6]]

Output

[5, 7, 9]