mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-10-12 17:05:15 +08:00
175 lines
20 KiB
JSON
175 lines
20 KiB
JSON
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"title": "山脉数组的峰顶索引",
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"translatedContent": "<p>符合下列属性的数组 <code>arr</code> 称为 <strong>山峰数组</strong>（<strong>山脉数组）</strong> ：</p>\n\n<ul>\n\t<li><code>arr.length >= 3</code></li>\n\t<li>存在 <code>i</code>（<code>0 < i < arr.length - 1</code>）使得：\n\t<ul>\n\t\t<li><code>arr[0] < arr[1] < ... arr[i-1] < arr[i] </code></li>\n\t\t<li><code>arr[i] > arr[i+1] > ... > arr[arr.length - 1]</code></li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>给定由整数组成的山峰数组 <code>arr</code> ，返回任何满足 <code>arr[0] < arr[1] < ... arr[i - 1] < arr[i] > arr[i + 1] > ... > arr[arr.length - 1]</code> 的下标 <code>i</code> ，即山峰顶部。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [0,1,0]\n<strong>输出：</strong>1\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [1,3,5,4,2]\n<strong>输出：2</strong>\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [0,10,5,2]\n<strong>输出：</strong>1\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [3,4,5,1]\n<strong>输出：</strong>2\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre>\n<strong>输入：</strong>arr = [24,69,100,99,79,78,67,36,26,19]\n<strong>输出：</strong>2\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= arr.length <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= arr[i] <= 10<sup>6</sup></code></li>\n\t<li>题目数据保证 <code>arr</code> 是一个山脉数组</li>\n</ul>\n\n<p> </p>\n\n<p><strong>进阶：</strong>很容易想到时间复杂度 <code>O(n)</code> 的解决方案，你可以设计一个 <code>O(log(n))</code> 的解决方案吗？</p>\n\n<p> </p>\n\n<p><meta charset=\"UTF-8\" />注意：本题与主站 852 题相同：<a href=\"https://leetcode-cn.com/problems/peak-index-in-a-mountain-array/\">https://leetcode-cn.com/problems/peak-index-in-a-mountain-array/</a></p>\n",
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