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| 1 | +<h2><a href="https://leetcode.com/problems/find-the-maximum-length-of-valid-subsequence-ii">Find the Maximum Length of Valid Subsequence II</a></h2> <img src='https://img.shields.io/badge/Difficulty-Medium-orange' alt='Difficulty: Medium' /><hr>You are given an integer array <code>nums</code> and a <strong>positive</strong> integer <code>k</code>. |
| 2 | +<p>A <span data-keyword="subsequence-array">subsequence</span> <code>sub</code> of <code>nums</code> with length <code>x</code> is called <strong>valid</strong> if it satisfies:</p> |
| 3 | + |
| 4 | +<ul> |
| 5 | + <li><code>(sub[0] + sub[1]) % k == (sub[1] + sub[2]) % k == ... == (sub[x - 2] + sub[x - 1]) % k.</code></li> |
| 6 | +</ul> |
| 7 | +Return the length of the <strong>longest</strong> <strong>valid</strong> subsequence of <code>nums</code>. |
| 8 | +<p> </p> |
| 9 | +<p><strong class="example">Example 1:</strong></p> |
| 10 | + |
| 11 | +<div class="example-block"> |
| 12 | +<p><strong>Input:</strong> <span class="example-io">nums = [1,2,3,4,5], k = 2</span></p> |
| 13 | + |
| 14 | +<p><strong>Output:</strong> <span class="example-io">5</span></p> |
| 15 | + |
| 16 | +<p><strong>Explanation:</strong></p> |
| 17 | + |
| 18 | +<p>The longest valid subsequence is <code>[1, 2, 3, 4, 5]</code>.</p> |
| 19 | +</div> |
| 20 | + |
| 21 | +<p><strong class="example">Example 2:</strong></p> |
| 22 | + |
| 23 | +<div class="example-block"> |
| 24 | +<p><strong>Input:</strong> <span class="example-io">nums = [1,4,2,3,1,4], k = 3</span></p> |
| 25 | + |
| 26 | +<p><strong>Output:</strong> <span class="example-io">4</span></p> |
| 27 | + |
| 28 | +<p><strong>Explanation:</strong></p> |
| 29 | + |
| 30 | +<p>The longest valid subsequence is <code>[1, 4, 1, 4]</code>.</p> |
| 31 | +</div> |
| 32 | + |
| 33 | +<p> </p> |
| 34 | +<p><strong>Constraints:</strong></p> |
| 35 | + |
| 36 | +<ul> |
| 37 | + <li><code>2 <= nums.length <= 10<sup>3</sup></code></li> |
| 38 | + <li><code>1 <= nums[i] <= 10<sup>7</sup></code></li> |
| 39 | + <li><code>1 <= k <= 10<sup>3</sup></code></li> |
| 40 | +</ul> |
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