Set Matrix Zeroes

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

You must do it in place.

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Example 1

Before:         After:
[ 1, 1, 1 ]    [ 1, 0, 1 ]
[ 1, 0, 1 ]    [ 0, 0, 0 ]
[ 1, 1, 1 ]    [ 1, 0, 1 ]

Input: matrix = [[1,1,1],[1,0,1],[1,1,1]]
Output: [[1,0,1],[0,0,0],[1,0,1]]
Explanation: The zero at (1,1) zeroes out row 1 and column 1.

Example 2

Before:              After:
[ 0, 1, 2, 0 ]    [ 0, 0, 0, 0 ]
[ 3, 4, 5, 2 ]    [ 0, 4, 5, 0 ]
[ 1, 3, 1, 5 ]    [ 0, 3, 1, 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]]
Explanation: Zeros at (0,0) and (0,3) zero out row 0, column 0, and column 3.

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Constraints

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