Set Matrix Zeroes

Set Matrix Zeroes

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.

Examples

Example 1:

Input: matrix = [[1,1,1],[1,0,1],[1,1,1]]
Output: [[1,0,1],[0,0,0],[1,0,1]]
Explanation: matrix[1][1] is 0, so row 1 and column 1 are set to 0.

Example 2:

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]]
Explanation: matrix[0][0] and matrix[0][3] are 0, so row 0,
column 0, and column 3 are all set to 0.

Constraints

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

Follow-up

• A straightforward solution using O(m * n) space is not optimal.
• A simple improvement uses O(m + n) space, but can you do it with O(1) extra space?

Expected Complexity

• Time: O(m * n)
• Space: O(1)