How to Solve Shortest Path in a Grid with Obstacles Elimination Problem
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Shortest Path in a Grid with Obstacles Elimination
You are given an m x n integer matrix grid where each cell is either 0 (empty) or 1 (obstacle). You can move up, down, left, or right from and to an empty cell in one step. Return the minimum number o...
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Understanding the Shortest Path in a Grid with Obstacles Elimination Problem
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Problem Statement
You are given an m x n integer matrix grid where each cell is either 0 (empty) or 1 (obstacle). You can move up, down, left, or right from and to an empty cell in one step. Return the minimum number of steps to walk from the upper left corner (0, 0) to the lower right corner (m - 1, n - 1) given that you can eliminate at most k obstacles. If it is not possible to find such walk return -1.
Shortest Path in a Grid with Obstacles Elimination
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Examples
grid = [[0,0,0],[1,1,0],[0,0,0],[0,1,1],[0,0,0]], k = 16The shortest path without eliminating any obstacle is 10. The shortest path with one obstacle elimination at position (3,2) is 6. Such path is (0,0) -> (0,1) -> (0,2) -> (1,2) -> (2,2) -> (3,2) -> (4,2).
grid = [[0,1,1],[1,1,1],[1,0,0]], k = 1-1We need to eliminate at least two obstacles to find such a walk.
Constraints
m == grid.lengthn == grid[i].length1 <= m, n <= 401 <= k <= m * ngrid[i][j] is either 0 or 1.grid[0][0] == grid[m - 1][n - 1] == 0How Interview Coder Helps with Leetcode Problems
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