{ "data": { "question": { "questionId": "1753", "questionFrontendId": "1631", "categoryTitle": "Algorithms", "boundTopicId": 456144, "title": "Path With Minimum Effort", "titleSlug": "path-with-minimum-effort", "content": "

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.

\r\n\r\n

A route's effort is the maximum absolute difference in heights between two consecutive cells of the route.

\r\n\r\n

Return the minimum effort required to travel from the top-left cell to the bottom-right cell.

\r\n\r\n

 

\r\n

Example 1:

\r\n\r\n

\"\"

\r\n\r\n
\r\nInput: heights = [[1,2,2],[3,8,2],[5,3,5]]\r\nOutput: 2\r\nExplanation: The route of [1,3,5,3,5] has a maximum absolute difference of 2 in consecutive cells.\r\nThis is better than the route of [1,2,2,2,5], where the maximum absolute difference is 3.\r\n
\r\n\r\n

Example 2:

\r\n\r\n

\"\"

\r\n\r\n
\r\nInput: heights = [[1,2,3],[3,8,4],[5,3,5]]\r\nOutput: 1\r\nExplanation: 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].\r\n
\r\n\r\n

Example 3:

\r\n\"\"\r\n
\r\nInput: 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]]\r\nOutput: 0\r\nExplanation: This route does not require any effort.\r\n
\r\n\r\n

 

\r\n

Constraints:

\r\n\r\n", "translatedTitle": "最小体力消耗路径", "translatedContent": "

你准备参加一场远足活动。给你一个二维 rows x columns 的地图 heights ,其中 heights[row][col] 表示格子 (row, col) 的高度。一开始你在最左上角的格子 (0, 0) ,且你希望去最右下角的格子 (rows-1, columns-1) (注意下标从 0 开始编号)。你每次可以往  四个方向之一移动,你想要找到耗费 体力 最小的一条路径。

\n\n

一条路径耗费的 体力值 是路径上相邻格子之间 高度差绝对值 的 最大值 决定的。

\n\n

请你返回从左上角走到右下角的最小 体力消耗值 。

\n\n

 

\n\n

示例 1:

\n\n

\"\"

\n\n
\n输入:heights = [[1,2,2],[3,8,2],[5,3,5]]\n输出:2\n解释:路径 [1,3,5,3,5] 连续格子的差值绝对值最大为 2 。\n这条路径比路径 [1,2,2,2,5] 更优,因为另一条路径差值最大值为 3 。\n
\n\n

示例 2:

\n\n

\"\"

\n\n
\n输入:heights = [[1,2,3],[3,8,4],[5,3,5]]\n输出:1\n解释:路径 [1,2,3,4,5] 的相邻格子差值绝对值最大为 1 ,比路径 [1,3,5,3,5] 更优。\n
\n\n

示例 3:

\n\"\"\n
\n输入: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]]\n输出:0\n解释:上图所示路径不需要消耗任何体力。\n
\n\n

 

\n\n

提示:

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