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Grokking the Coding Interview Patterns in Python

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

Explore how to solve the problem of finding the minimum cost to make at least one valid path in a grid with directional signs. This lesson helps you understand using graph theory and 0-1 BFS to calculate the least costly path from the top-left cell to the bottom-right cell by modifying directions efficiently.

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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 ...