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.



 


Example 1:



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


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]]


 


Constraints:




  • m == matrix.length

  • n == matrix[0].length

  • 1 <= m, n <= 200

  • -231 <= matrix[i][j] <= 231 - 1



 


Follow up:




  • A straightforward solution using O(mn) space is probably a bad idea.

  • A simple improvement uses O(m + n) space, but still not the best solution.

  • Could you devise a constant space solution?


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