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Grokking the Coding Interview Patterns in Go

Solution: Minimum Cost to Make at Least One Valid Path in a Grid

Explore how to determine the minimum cost to modify directional signs in a grid to form at least one valid path from the top-left to the bottom-right cell. This lesson helps you understand and implement 0-1 BFS to efficiently solve pathfinding problems with directional constraints while managing costs.

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Statement

You are given an m×nm \times n grid, where each cell contains a directional sign indicating which neighboring cell to move to next. The sign in a cell grid[i][j] can be:

  • 1: Move right, i.e., from grid[i][j] to grid[i][j + 1].

  • 2 ...