leetcode-problemset/leetcode-cn/originData/wiggle-subsequence.json

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            "title": "Wiggle Subsequence",
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            "content": "<p>A <strong>wiggle sequence</strong> is a sequence where the differences between successive numbers strictly alternate between positive and negative. The first difference (if one exists) may be either positive or negative. A sequence with one element and a sequence with two non-equal elements are trivially wiggle sequences.</p>\n\n<ul>\n\t<li>For example, <code>[1, 7, 4, 9, 2, 5]</code> is a <strong>wiggle sequence</strong> because the differences <code>(6, -3, 5, -7, 3)</code> alternate between positive and negative.</li>\n\t<li>In contrast, <code>[1, 4, 7, 2, 5]</code> and <code>[1, 7, 4, 5, 5]</code> are not wiggle sequences. The first is not because its first two differences are positive, and the second is not because its last difference is zero.</li>\n</ul>\n\n<p>A <strong>subsequence</strong> is obtained by deleting some elements (possibly zero) from the original sequence, leaving the remaining elements in their original order.</p>\n\n<p>Given an integer array <code>nums</code>, return <em>the length of the longest <strong>wiggle subsequence</strong> of </em><code>nums</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,7,4,9,2,5]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The entire sequence is a wiggle sequence with differences (6, -3, 5, -7, 3).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,17,5,10,13,15,10,5,16,8]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> There are several subsequences that achieve this length.\nOne is [1, 17, 10, 13, 10, 16, 8] with differences (16, -7, 3, -3, 6, -8).\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4,5,6,7,8,9]\n<strong>Output:</strong> 2\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong> Could you solve this in <code>O(n)</code> time?</p>\n",
            "translatedTitle": "摆动序列",
            "translatedContent": "<p>如果连续数字之间的差严格地在正数和负数之间交替，则数字序列称为<strong> 摆动序列 。</strong>第一个差（如果存在的话）可能是正数或负数。仅有一个元素或者含两个不等元素的序列也视作摆动序列。</p>\n\n<ul>\n\t<li>\n\t<p>例如， <code>[1, 7, 4, 9, 2, 5]</code> 是一个 <strong>摆动序列</strong> ，因为差值 <code>(6, -3, 5, -7, 3)</code> 是正负交替出现的。</p>\n\t</li>\n\t<li>相反，<code>[1, 4, 7, 2, 5]</code> 和 <code>[1, 7, 4, 5, 5]</code> 不是摆动序列，第一个序列是因为它的前两个差值都是正数，第二个序列是因为它的最后一个差值为零。</li>\n</ul>\n\n<p><strong>子序列</strong> 可以通过从原始序列中删除一些（也可以不删除）元素来获得，剩下的元素保持其原始顺序。</p>\n\n<p>给你一个整数数组 <code>nums</code> ，返回 <code>nums</code> 中作为 <strong>摆动序列 </strong>的 <strong>最长子序列的长度</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,7,4,9,2,5]\n<strong>输出：</strong>6\n<strong>解释：</strong>整个序列均为摆动序列，各元素之间的差值为 (6, -3, 5, -7, 3) 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,17,5,10,13,15,10,5,16,8]\n<strong>输出：</strong>7\n<strong>解释：</strong>这个序列包含几个长度为 7 摆动序列。\n其中一个是 [1, 17, 10, 13, 10, 16, 8] ，各元素之间的差值为 (16, -7, 3, -3, 6, -8) 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,2,3,4,5,6,7,8,9]\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>1 <= nums.length <= 1000</code></li>\n\t<li><code>0 <= nums[i] <= 1000</code></li>\n</ul>\n\n<p> </p>\n\n<p><strong>进阶：</strong>你能否用 <code>O(n)</code><em> </em>时间复杂度完成此题?</p>\n",
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