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Matrix Zeroing

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Given a matrix of size m x n, modify the matrix such that if an element is 0, its entire row and column are set to 0. The changes should be made in-place, i.e. directly to the original matrix.

Input

  • matrix: number[][]: A 2D array matrix of size m x n

Examples

Input: matrix = [[1,2,0],[4,0,6],[7,8,9]]
Output: [[0,0,0],[0,0,0],[7,0,0]]
Explanation: The elements at (row 0, column 2) and (row 1, column 1) are 0, so their corresponding rows and columns are set to 0.
Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [[1,2,3],[4,5,6],[7,8,9]]
Explanation: There are no zeroes in the matrix, so no changes are made.
Input: matrix = [[1,2],[3,4],[5,0],[7,8]]
Output: [[1,0],[3,0],[0,0],[7,0]]
Explanation: The element at (row 2, column 1) is 0, so its corresponding rows and columns are set to 0.

Constraints

  • 1 <= m, n <= 100
  • -1000 <= matrix[row][col] <= 1000
  • Challenge: Use only O(1) extra space

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    Matrix Zeroing | Algorithms Interview Questions with Solutions