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Solution: 01 Matrix

Understand how to apply dynamic programming to solve the 01 Matrix problem by calculating the distance of each cell to the nearest zero. Explore an optimized approach that leverages subproblem solutions to achieve efficient time and space complexity. This lesson guides you through the problem constraints, naive and optimized solutions, and the logic behind dynamic programming steps.

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.col103\leq 10^3

  • 11 \leq mat.row * mat.col 104\leq 10^4 ...