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Grokking the Coding Interview Patterns

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

Explore how to determine the minimum total cost to create at least one valid path in a grid where each cell points to a direction. Understand the use of 0-1 BFS and cost grid to efficiently find the least costly path from top-left to bottom-right. Learn to handle directional constraints and optimize traversal with a deque data structure.

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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 ...