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Solution: 01 Matrix

Explore an optimized dynamic programming approach to solve the 01 Matrix problem. Learn to calculate the shortest distance from each cell to the nearest zero by leveraging optimal substructure and overlapping subproblems. Understand the two-pass matrix traversal technique, analyze time and space complexities, and implement an efficient solution suitable for coding interviews.

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] ...