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| 1 | +<h2><a href="https://leetcode.com/problems/wiggle-subsequence">376. Wiggle Subsequence</a></h2><h3>Medium</h3><hr><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> |
| 2 | + |
| 3 | +<ul> |
| 4 | + <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> |
| 5 | + <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> |
| 6 | +</ul> |
| 7 | + |
| 8 | +<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> |
| 9 | + |
| 10 | +<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> |
| 11 | + |
| 12 | +<p> </p> |
| 13 | +<p><strong class="example">Example 1:</strong></p> |
| 14 | + |
| 15 | +<pre> |
| 16 | +<strong>Input:</strong> nums = [1,7,4,9,2,5] |
| 17 | +<strong>Output:</strong> 6 |
| 18 | +<strong>Explanation:</strong> The entire sequence is a wiggle sequence with differences (6, -3, 5, -7, 3). |
| 19 | +</pre> |
| 20 | + |
| 21 | +<p><strong class="example">Example 2:</strong></p> |
| 22 | + |
| 23 | +<pre> |
| 24 | +<strong>Input:</strong> nums = [1,17,5,10,13,15,10,5,16,8] |
| 25 | +<strong>Output:</strong> 7 |
| 26 | +<strong>Explanation:</strong> There are several subsequences that achieve this length. |
| 27 | +One is [1, 17, 10, 13, 10, 16, 8] with differences (16, -7, 3, -3, 6, -8). |
| 28 | +</pre> |
| 29 | + |
| 30 | +<p><strong class="example">Example 3:</strong></p> |
| 31 | + |
| 32 | +<pre> |
| 33 | +<strong>Input:</strong> nums = [1,2,3,4,5,6,7,8,9] |
| 34 | +<strong>Output:</strong> 2 |
| 35 | +</pre> |
| 36 | + |
| 37 | +<p> </p> |
| 38 | +<p><strong>Constraints:</strong></p> |
| 39 | + |
| 40 | +<ul> |
| 41 | + <li><code>1 <= nums.length <= 1000</code></li> |
| 42 | + <li><code>0 <= nums[i] <= 1000</code></li> |
| 43 | +</ul> |
| 44 | + |
| 45 | +<p> </p> |
| 46 | +<p><strong>Follow up:</strong> Could you solve this in <code>O(n)</code> time?</p> |
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