Set Matrix Zeroes

Medium

LeetCode ↗

Arrays Hash Tables Matrix Traversal

Problem

Given an m x n integer matrix matrix, if an element is 0, set its entire row and column to 0's.

You must do it in place.

Constraints

m == matrix.length
n == matrix[0].length
1 <= m, n <= 200
-2^31 <= matrix[i][j] <= 2^31 - 1

Examples

Input: matrix = [[1,1,1],[1,0,1],[1,1,1]]

Output: [[1,0,1],[0,0,0],[1,0,1]]

The element at position (1,1) is 0, so its entire row (row 1) and column (column 1) are set to 0.

Input: matrix = [[0,1,2,0],[3,4,5,2],[1,3,1,5]]

Output: [[0,0,0,0],[0,4,5,0],[0,3,1,0]]

Zeroes at positions (0,0) and (0,3) cause row 0 and columns 0 and 3 to be zeroed. The middle elements remain unchanged where rows and columns don't intersect with zeroes.

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