01-matrix

01-matrix


Given an m x n binary matrix mat, return the distance of the nearest 0 for each cell.



The distance between two adjacent cells is 1.



 


Example 1:



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


Example 2:



Input: mat = [[0,0,0],[0,1,0],[1,1,1]]
Output: [[0,0,0],[0,1,0],[1,2,1]]


 


Constraints:




  • m == mat.length

  • n == mat[i].length

  • 1 <= m, n <= 104

  • 1 <= m * n <= 104

  • mat[i][j] is either 0 or 1.

  • There is at least one 0 in mat.


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