leetcode-problemset/leetcode-cn/originData/find-the-minimum-and-maximum-number-of-nodes-between-critical-points.json

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        "question": {
            "questionId": "2182",
            "questionFrontendId": "2058",
            "categoryTitle": "Algorithms",
            "boundTopicId": 1072341,
            "title": "Find the Minimum and Maximum Number of Nodes Between Critical Points",
            "titleSlug": "find-the-minimum-and-maximum-number-of-nodes-between-critical-points",
            "content": "<p>A <strong>critical point</strong> in a linked list is defined as <strong>either</strong> a <strong>local maxima</strong> or a <strong>local minima</strong>.</p>\n\n<p>A node is a <strong>local maxima</strong> if the current node has a value <strong>strictly greater</strong> than the previous node and the next node.</p>\n\n<p>A node is a <strong>local minima</strong> if the current node has a value <strong>strictly smaller</strong> than the previous node and the next node.</p>\n\n<p>Note that a node can only be a local maxima/minima if there exists <strong>both</strong> a previous node and a next node.</p>\n\n<p>Given a linked list <code>head</code>, return <em>an array of length 2 containing </em><code>[minDistance, maxDistance]</code><em> where </em><code>minDistance</code><em> is the <strong>minimum distance</strong> between <strong>any&nbsp;two distinct</strong> critical points and </em><code>maxDistance</code><em> is the <strong>maximum distance</strong> between <strong>any&nbsp;two distinct</strong> critical points. If there are <strong>fewer</strong> than two critical points, return </em><code>[-1, -1]</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/13/a1.png\" style=\"width: 148px; height: 55px;\" />\n<pre>\n<strong>Input:</strong> head = [3,1]\n<strong>Output:</strong> [-1,-1]\n<strong>Explanation:</strong> There are no critical points in [3,1].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/13/a2.png\" style=\"width: 624px; height: 46px;\" />\n<pre>\n<strong>Input:</strong> head = [5,3,1,2,5,1,2]\n<strong>Output:</strong> [1,3]\n<strong>Explanation:</strong> There are three critical points:\n- [5,3,<strong><u>1</u></strong>,2,5,1,2]: The third node is a local minima because 1 is less than 3 and 2.\n- [5,3,1,2,<u><strong>5</strong></u>,1,2]: The fifth node is a local maxima because 5 is greater than 2 and 1.\n- [5,3,1,2,5,<u><strong>1</strong></u>,2]: The sixth node is a local minima because 1 is less than 5 and 2.\nThe minimum distance is between the fifth and the sixth node. minDistance = 6 - 5 = 1.\nThe maximum distance is between the third and the sixth node. maxDistance = 6 - 3 = 3.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/14/a5.png\" style=\"width: 624px; height: 39px;\" />\n<pre>\n<strong>Input:</strong> head = [1,3,2,2,3,2,2,2,7]\n<strong>Output:</strong> [3,3]\n<strong>Explanation:</strong> There are two critical points:\n- [1,<u><strong>3</strong></u>,2,2,3,2,2,2,7]: The second node is a local maxima because 3 is greater than 1 and 2.\n- [1,3,2,2,<u><strong>3</strong></u>,2,2,2,7]: The fifth node is a local maxima because 3 is greater than 2 and 2.\nBoth the minimum and maximum distances are between the second and the fifth node.\nThus, minDistance and maxDistance is 5 - 2 = 3.\nNote that the last node is not considered a local maxima because it does not have a next node.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the list is in the range <code>[2, 10<sup>5</sup>]</code>.</li>\n\t<li><code>1 &lt;= Node.val &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "找出临界点之间的最小和最大距离",
            "translatedContent": "<p>链表中的 <strong>临界点</strong> 定义为一个 <strong>局部极大值点</strong> <strong>或</strong> <strong>局部极小值点 。</strong></p>\n\n<p>如果当前节点的值 <strong>严格大于</strong> 前一个节点和后一个节点，那么这个节点就是一个<strong>&nbsp; 局部极大值点</strong> 。</p>\n\n<p>如果当前节点的值 <strong>严格小于</strong> 前一个节点和后一个节点，那么这个节点就是一个<strong>&nbsp; 局部极小值点</strong> 。</p>\n\n<p>注意：节点只有在同时存在前一个节点和后一个节点的情况下，才能成为一个 <strong>局部极大值点 / 极小值点</strong> 。</p>\n\n<p>给你一个链表 <code>head</code> ，返回一个长度为 2 的数组<em> </em><code>[minDistance, maxDistance]</code> ，其中<em> </em><code>minDistance</code><em> </em>是任意两个不同临界点之间的最小距离，<code>maxDistance</code> 是任意两个不同临界点之间的最大距离。如果临界点少于两个，则返回 <code>[-1，-1]</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/13/a1.png\" style=\"width: 148px; height: 55px;\" /></p>\n\n<pre>\n<strong>输入：</strong>head = [3,1]\n<strong>输出：</strong>[-1,-1]\n<strong>解释：</strong>链表 [3,1] 中不存在临界点。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/13/a2.png\" style=\"width: 624px; height: 46px;\" /></p>\n\n<pre>\n<strong>输入：</strong>head = [5,3,1,2,5,1,2]\n<strong>输出：</strong>[1,3]\n<strong>解释：</strong>存在三个临界点：\n- [5,3,<em><strong>1</strong></em>,2,5,1,2]：第三个节点是一个局部极小值点，因为 1 比 3 和 2 小。\n- [5,3,1,2,<em><strong>5</strong></em>,1,2]：第五个节点是一个局部极大值点，因为 5 比 2 和 1 大。\n- [5,3,1,2,5,<em><strong>1</strong></em>,2]：第六个节点是一个局部极小值点，因为 1 比 5 和 2 小。\n第五个节点和第六个节点之间距离最小。minDistance = 6 - 5 = 1 。\n第三个节点和第六个节点之间距离最大。maxDistance = 6 - 3 = 3 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/14/a5.png\" style=\"width: 624px; height: 39px;\" /></p>\n\n<pre>\n<strong>输入：</strong>head = [1,3,2,2,3,2,2,2,7]\n<strong>输出：</strong>[3,3]\n<strong>解释：</strong>存在两个临界点：\n- [1,<em><strong>3</strong></em>,2,2,3,2,2,2,7]：第二个节点是一个局部极大值点，因为 3 比 1 和 2 大。\n- [1,3,2,2,<em><strong>3</strong></em>,2,2,2,7]：第五个节点是一个局部极大值点，因为 3 比 2 和 2 大。\n最小和最大距离都存在于第二个节点和第五个节点之间。\n因此，minDistance 和 maxDistance 是 5 - 2 = 3 。\n注意，最后一个节点不算一个局部极大值点，因为它之后就没有节点了。\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/13/a4.png\" style=\"width: 345px; height: 52px;\" /></p>\n\n<pre>\n<strong>输入：</strong>head = [2,3,3,2]\n<strong>输出：</strong>[-1,-1]\n<strong>解释：</strong>链表 [2,3,3,2] 中不存在临界点。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li>链表中节点的数量在范围 <code>[2, 10<sup>5</sup>]</code> 内</li>\n\t<li><code>1 &lt;= Node.val &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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