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Grokking the Coding Interview Patterns in C++

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

Explore how to determine the minimum total cost to ensure at least one valid path exists in a grid where each cell points in a direction. Learn to apply a 0-1 BFS technique to efficiently modify directions at minimal cost. This lesson teaches you to implement an algorithm that navigates grid constraints, updates costs, and prioritizes optimal paths to solve complex pathfinding problems.

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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 ...