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Grokking the Coding Interview Patterns in Go

Solution: 01 Matrix

Explore how to solve the matrix distance to nearest zero problem using dynamic programming. Learn to optimize time complexity by applying memoization and overlapping subproblems principles. Understand how traversing the matrix twice ensures correct distance calculations while maintaining constant space usage.

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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] ...