leetcode/1753_path-with-minimum-effort/README.md

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2022-04-28 23:50:33 +00:00
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._
**Example 1:**
![](https://assets.leetcode.com/uploads/2020/10/04/ex1.png)
Input: heights = [[1,2,2],[3,8,2],[5,3,5]]
Output: 2
Explanation: The 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.
**Example 2:**
![](https://assets.leetcode.com/uploads/2020/10/04/ex2.png)
Input: heights = [[1,2,3],[3,8,4],[5,3,5]]
Output: 1
Explanation: The 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].
**Example 3:**
![](https://assets.leetcode.com/uploads/2020/10/04/ex3.png)
Input: 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]]
Output: 0
Explanation: This route does not require any effort.
**Constraints:**
* `rows == heights.length`
* `columns == heights[i].length`
* `1 <= rows, columns <= 100`
* `1 <= heights[i][j] <= 106`
https://leetcode.com/problems/path-with-minimum-effort/