mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
208 lines
25 KiB
JSON
208 lines
25 KiB
JSON
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"title": "Path With Minimum Effort",
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"content": "<p>You are a hiker preparing for an upcoming hike. You are given <code>heights</code>, a 2D array of size <code>rows x columns</code>, where <code>heights[row][col]</code> represents the height of cell <code>(row, col)</code>. You are situated in the top-left cell, <code>(0, 0)</code>, and you hope to travel to the bottom-right cell, <code>(rows-1, columns-1)</code> (i.e., <strong>0-indexed</strong>). You can move <strong>up</strong>, <strong>down</strong>, <strong>left</strong>, or <strong>right</strong>, and you wish to find a route that requires the minimum <strong>effort</strong>.</p>\r\n\r\n<p>A route's <strong>effort</strong> is the <strong>maximum absolute difference</strong><strong> </strong>in heights between two consecutive cells of the route.</p>\r\n\r\n<p>Return <em>the minimum <strong>effort</strong> required to travel from the top-left cell to the bottom-right cell.</em></p>\r\n\r\n<p> </p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/10/04/ex1.png\" style=\"width: 300px; height: 300px;\" /></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> heights = [[1,2,2],[3,8,2],[5,3,5]]\r\n<strong>Output:</strong> 2\r\n<strong>Explanation:</strong> 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</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/10/04/ex2.png\" style=\"width: 300px; height: 300px;\" /></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> heights = [[1,2,3],[3,8,4],[5,3,5]]\r\n<strong>Output:</strong> 1\r\n<strong>Explanation:</strong> 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</pre>\r\n\r\n<p><strong class=\"example\">Example 3:</strong></p>\r\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/10/04/ex3.png\" style=\"width: 300px; height: 300px;\" />\r\n<pre>\r\n<strong>Input:</strong> 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\n<strong>Output:</strong> 0\r\n<strong>Explanation:</strong> This route does not require any effort.\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>rows == heights.length</code></li>\r\n\t<li><code>columns == heights[i].length</code></li>\r\n\t<li><code>1 <= rows, columns <= 100</code></li>\r\n\t<li><code>1 <= heights[i][j] <= 10<sup>6</sup></code></li>\r\n</ul>",
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"translatedTitle": "最小体力消耗路径",
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"translatedContent": "<p>你准备参加一场远足活动。给你一个二维 <code>rows x columns</code> 的地图 <code>heights</code> ，其中 <code>heights[row][col]</code> 表示格子 <code>(row, col)</code> 的高度。一开始你在最左上角的格子 <code>(0, 0)</code> ，且你希望去最右下角的格子 <code>(rows-1, columns-1)</code> （注意下标从 <strong>0</strong> 开始编号）。你每次可以往 <strong>上</strong>，<strong>下</strong>，<strong>左</strong>，<strong>右</strong> 四个方向之一移动，你想要找到耗费 <strong>体力</strong> 最小的一条路径。</p>\n\n<p>一条路径耗费的 <strong>体力值</strong> 是路径上相邻格子之间 <strong>高度差绝对值</strong> 的 <strong>最大值</strong> 决定的。</p>\n\n<p>请你返回从左上角走到右下角的最小<strong> 体力消耗值</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/25/ex1.png\" style=\"width: 300px; height: 300px;\" /></p>\n\n<pre>\n<b>输入：</b>heights = [[1,2,2],[3,8,2],[5,3,5]]\n<b>输出：</b>2\n<b>解释：</b>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</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/25/ex2.png\" style=\"width: 300px; height: 300px;\" /></p>\n\n<pre>\n<b>输入：</b>heights = [[1,2,3],[3,8,4],[5,3,5]]\n<b>输出：</b>1\n<b>解释：</b>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</pre>\n\n<p><strong>示例 3：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/25/ex3.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<b>输入：</b>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<b>输出：</b>0\n<b>解释：</b>上图所示路径不需要消耗任何体力。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>rows == heights.length</code></li>\n\t<li><code>columns == heights[i].length</code></li>\n\t<li><code>1 <= rows, columns <= 100</code></li>\n\t<li><code>1 <= heights[i][j] <= 10<sup>6</sup></code></li>\n</ul>\n",
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