How to Solve Minimum Cost to Make at Least One Valid Path in a Grid Problem
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Minimum Cost to Make at Least One Valid Path in a Grid
Given an m x n grid. Each cell of the grid has a sign pointing to the next cell you should visit if you are currently in this cell. The sign of grid[i][j] can be: 1 which means go to the cell to the r...
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Understanding the Minimum Cost to Make at Least One Valid Path in a Grid Problem
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Problem Statement
Given an m x n grid. Each cell of the grid has a sign pointing to the next cell you should visit if you are currently in this cell. The sign of grid[i][j] can be: 1 which means go to the cell to the right. (i.e go from grid[i][j] to grid[i][j + 1]) 2 which means go to the cell to the left. (i.e go from grid[i][j] to grid[i][j - 1]) 3 which means go to the lower cell. (i.e go from grid[i][j] to grid[i + 1][j]) 4 which means go to the upper cell. (i.e go from grid[i][j] to grid[i - 1][j]) Notice that there could be some signs on the cells of the grid that point outside the grid. You will initially start at the upper left cell (0, 0). A valid path in the grid is a path that starts from the upper left cell (0, 0) and ends at the bottom-right cell (m - 1, n - 1) following the signs on the grid. The valid path does not have to be the shortest. You can modify the sign on a cell with cost = 1. You can modify the sign on a cell one time only. Return the minimum cost to make the grid have at least one valid path.
Minimum Cost to Make at Least One Valid Path in a Grid
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grid = [[1,1,1,1],[2,2,2,2],[1,1,1,1],[2,2,2,2]]3You will start at point (0, 0). The path to (3, 3) is as follows. (0, 0) --> (0, 1) --> (0, 2) --> (0, 3) change the arrow to down with cost = 1 --> (1, 3) --> (1, 2) --> (1, 1) --> (1, 0) change the arrow to down with cost = 1 --> (2, 0) --> (2, 1) --> (2, 2) --> (2, 3) change the arrow to down with cost = 1 --> (3, 3) The total cost = 3.
grid = [[1,1,3],[3,2,2],[1,1,4]]0You can follow the path from (0, 0) to (2, 2).
grid = [[1,2],[4,3]]1Constraints
m == grid.lengthn == grid[i].length1 <= m, n <= 1001 <= grid[i][j] <= 4How Interview Coder Helps with Leetcode Problems
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