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Problem: 01 Matrix

Medium
30 min
Explore how to apply dynamic programming to calculate the minimum distance from each cell in a binary matrix to the closest zero. This lesson guides you through understanding the problem constraints and implementing an efficient solution.

Statement

Given an m×nm \times n binary matrix, mat, find the distance from each cell to the nearest 00. The distance between two adjacent cells is 11. Cells to the left, right, above, and below the current cell will be considered adjacent.

Constraints:

  • 11 \leq mat.row , mat.col50\leq 50

  • 11 \leq mat.row * mat.col 2500\leq 2500

  • mat[i][j] {0,1}\in \{0, 1\}

  • There is at least one 00 in mat.

Problem
Ask
Submissions

Problem: 01 Matrix

Medium
30 min
Explore how to apply dynamic programming to calculate the minimum distance from each cell in a binary matrix to the closest zero. This lesson guides you through understanding the problem constraints and implementing an efficient solution.

Statement

Given an m×nm \times n binary matrix, mat, find the distance from each cell to the nearest 00. The distance between two adjacent cells is 11. Cells to the left, right, above, and below the current cell will be considered adjacent.

Constraints:

  • 11 \leq mat.row , mat.col50\leq 50

  • 11 \leq mat.row * mat.col 2500\leq 2500

  • mat[i][j] {0,1}\in \{0, 1\}

  • There is at least one 00 in mat.