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73. Set Matrix Zeroes

Medium

Description

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:

Example_1_img

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

Example 2:

Example_2_img

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?

Solutions

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