How to Solve Path With Minimum Effort Problem
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Path With Minimum Effort
You are a hiker preparing for an upcoming hike. You are given heights, a 2D array of size rows x columns, where heights[row][col] represents the height of cell (row, col). You are situated in the top-...
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Understanding the Path With Minimum Effort Problem
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Problem Statement
You are a hiker preparing for an upcoming hike. You are given heights, a 2D array of size rows x columns, where heights[row][col] represents the height of cell (row, col). You are situated in the top-left cell, (0, 0), and you hope to travel to the bottom-right cell, (rows-1, columns-1) (i.e., 0-indexed). You can move up, down, left, or right, and you wish to find a route that requires the minimum effort. A route's effort is the maximum absolute difference in heights between two consecutive cells of the route. Return the minimum effort required to travel from the top-left cell to the bottom-right cell.
Path With Minimum Effort
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Examples
heights = [[1,2,2],[3,8,2],[5,3,5]]2The route of [1,3,5,3,5] has a maximum absolute difference of 2 in consecutive cells. This is better than the route of [1,2,2,2,5], where the maximum absolute difference is 3.
heights = [[1,2,3],[3,8,4],[5,3,5]]1The route of [1,2,3,4,5] has a maximum absolute difference of 1 in consecutive cells, which is better than route [1,3,5,3,5].
heights = [[1,2,1,1,1],[1,2,1,2,1],[1,2,1,2,1],[1,2,1,2,1],[1,1,1,2,1]]0This route does not require any effort.
Constraints
rows == heights.lengthcolumns == heights[i].length1 <= rows, columns <= 1001 <= heights[i][j] <= 106How Interview Coder Helps with Leetcode Problems
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