Make Columns and Rows Zeros

Statement

Given a two-dimensional array, if any element within the array is zero, set its whole row and column zero.

Examples

For example, consider the matrix below:

Assuming the matrix starts from (0,0).

There are two zeros in the input matrix at positions (1,1) and (2,3). The output of this should be a matrix in which the first and second rows are zero and the first and third columns are zero. Below is the expected output matrix:

Sample input

[ [5, 4, 3, 9],
  [2, 0, 7, 6],
  [1, 3, 4, 0],
  [9, 8, 3, 4] ]

Expected output

[ [5, 0, 3, 0],
  [0, 0, 0, 0],
  [0, 0, 0, 0],