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| 1 | +<h2><a href="https://leetcode.com/problems/adjacent-increasing-subarrays-detection-ii/">3350. Adjacent Increasing Subarrays Detection II</a></h2><h3>Medium</h3><hr><div><p>Given an array <code>nums</code> of <code>n</code> integers, your task is to find the <strong>maximum</strong> value of <code>k</code> for which there exist <strong>two</strong> adjacent <span data-keyword="subarray-nonempty">subarrays</span> of length <code>k</code> each, such that both subarrays are <strong>strictly</strong> <strong>increasing</strong>. Specifically, check if there are <strong>two</strong> subarrays of length <code>k</code> starting at indices <code>a</code> and <code>b</code> (<code>a < b</code>), where:</p> |
| 2 | + |
| 3 | +<ul> |
| 4 | + <li>Both subarrays <code>nums[a..a + k - 1]</code> and <code>nums[b..b + k - 1]</code> are <strong>strictly increasing</strong>.</li> |
| 5 | + <li>The subarrays must be <strong>adjacent</strong>, meaning <code>b = a + k</code>.</li> |
| 6 | +</ul> |
| 7 | + |
| 8 | +<p>Return the <strong>maximum</strong> <em>possible</em> value of <code>k</code>.</p> |
| 9 | + |
| 10 | +<p>A <strong>subarray</strong> is a contiguous <b>non-empty</b> sequence of elements within an array.</p> |
| 11 | + |
| 12 | +<p> </p> |
| 13 | +<p><strong class="example">Example 1:</strong></p> |
| 14 | + |
| 15 | +<div class="example-block"> |
| 16 | +<p><strong>Input:</strong> <span class="example-io">nums = [2,5,7,8,9,2,3,4,3,1]</span></p> |
| 17 | + |
| 18 | +<p><strong>Output:</strong> <span class="example-io">3</span></p> |
| 19 | + |
| 20 | +<p><strong>Explanation:</strong></p> |
| 21 | + |
| 22 | +<ul> |
| 23 | + <li>The subarray starting at index 2 is <code>[7, 8, 9]</code>, which is strictly increasing.</li> |
| 24 | + <li>The subarray starting at index 5 is <code>[2, 3, 4]</code>, which is also strictly increasing.</li> |
| 25 | + <li>These two subarrays are adjacent, and 3 is the <strong>maximum</strong> possible value of <code>k</code> for which two such adjacent strictly increasing subarrays exist.</li> |
| 26 | +</ul> |
| 27 | +</div> |
| 28 | + |
| 29 | +<p><strong class="example">Example 2:</strong></p> |
| 30 | + |
| 31 | +<div class="example-block"> |
| 32 | +<p><strong>Input:</strong> <span class="example-io">nums = [1,2,3,4,4,4,4,5,6,7]</span></p> |
| 33 | + |
| 34 | +<p><strong>Output:</strong> <span class="example-io">2</span></p> |
| 35 | + |
| 36 | +<p><strong>Explanation:</strong></p> |
| 37 | + |
| 38 | +<ul> |
| 39 | + <li>The subarray starting at index 0 is <code>[1, 2]</code>, which is strictly increasing.</li> |
| 40 | + <li>The subarray starting at index 2 is <code>[3, 4]</code>, which is also strictly increasing.</li> |
| 41 | + <li>These two subarrays are adjacent, and 2 is the <strong>maximum</strong> possible value of <code>k</code> for which two such adjacent strictly increasing subarrays exist.</li> |
| 42 | +</ul> |
| 43 | +</div> |
| 44 | + |
| 45 | +<p> </p> |
| 46 | +<p><strong>Constraints:</strong></p> |
| 47 | + |
| 48 | +<ul> |
| 49 | + <li><code>2 <= nums.length <= 2 * 10<sup>5</sup></code></li> |
| 50 | + <li><code>-10<sup>9</sup> <= nums[i] <= 10<sup>9</sup></code></li> |
| 51 | +</ul> |
| 52 | +</div> |
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