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Grokking the Coding Interview Patterns in JavaScript

Solution: 01 Matrix

Explore how to solve the 01 Matrix problem by calculating distances from each cell to the nearest zero using dynamic programming. Understand the optimal substructure and overlapping subproblems concepts, implement a two-pass traversal for efficient computation, and learn to evaluate time and space complexity for an optimized algorithm.

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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:

  • 1≤1 \leq mat.row , mat.col≤50\leq 50

  • 1≤1 \leq mat.row * mat.col ≤2500\leq 2500

  • mat[i][j] ...