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01 Matrix

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

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

The distance between two cells sharing a common edge is 1.

01 Matrix diagram

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 <= 10^4
  • 1 <= m * n <= 10^4
  • mat[i][j] is either 0 or 1.
  • There is at least one 0 in mat.

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