leetcode-problemset/leetcode-cn/originData/longest-subsequence-with-decreasing-adjacent-difference.json

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            "categoryTitle": "Algorithms",
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            "title": "Longest Subsequence With Decreasing Adjacent Difference",
            "titleSlug": "longest-subsequence-with-decreasing-adjacent-difference",
            "content": "<p>You are given an array of integers <code>nums</code>.</p>\n\n<p>Your task is to find the length of the <strong>longest</strong> <span data-keyword=\"subsequence-array\">subsequence</span> <code>seq</code> of <code>nums</code>, such that the <strong>absolute differences</strong> between<em> consecutive</em> elements form a <strong>non-increasing sequence</strong> of integers. In other words, for a subsequence <code>seq<sub>0</sub></code>, <code>seq<sub>1</sub></code>, <code>seq<sub>2</sub></code>, ..., <code>seq<sub>m</sub></code> of <code>nums</code>, <code>|seq<sub>1</sub> - seq<sub>0</sub>| &gt;= |seq<sub>2</sub> - seq<sub>1</sub>| &gt;= ... &gt;= |seq<sub>m</sub> - seq<sub>m - 1</sub>|</code>.</p>\n\n<p>Return the length of such a subsequence.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [16,6,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong>&nbsp;</p>\n\n<p>The longest subsequence is <code>[16, 6, 3]</code> with the absolute adjacent differences <code>[10, 3]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [6,5,3,4,2,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The longest subsequence is <code>[6, 4, 2, 1]</code> with the absolute adjacent differences <code>[2, 2, 1]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [10,20,10,19,10,20]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong>&nbsp;</p>\n\n<p>The longest subsequence is <code>[10, 20, 10, 19, 10]</code> with the absolute adjacent differences <code>[10, 10, 9, 9]</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 300</code></li>\n</ul>\n",
            "translatedTitle": "最长相邻绝对差递减子序列",
            "translatedContent": "<p>给你一个整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>你的任务是找到 <code>nums</code>&nbsp;中的 <strong>最长 <span data-keyword=\"subsequence-array\">子序列</span></strong>&nbsp;<code>seq</code>&nbsp;，这个子序列中相邻元素的 <strong>绝对差</strong>&nbsp;构成一个 <strong>非递增</strong>&nbsp;整数序列。换句话说，<code>nums</code>&nbsp;中的序列&nbsp;<code>seq<sub>0</sub></code>, <code>seq<sub>1</sub></code>, <code>seq<sub>2</sub></code>, ..., <code>seq<sub>m</sub></code>&nbsp;满足&nbsp;<code>|seq<sub>1</sub> - seq<sub>0</sub>| &gt;= |seq<sub>2</sub> - seq<sub>1</sub>| &gt;= ... &gt;= |seq<sub>m</sub> - seq<sub>m - 1</sub>|</code>&nbsp;。</p>\n\n<p>请你返回这个子序列的长度。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">nums = [16,6,3]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>3</span></p>\n\n<p><b>解释：</b></p>\n\n<p>最长子序列是&nbsp;<code>[16, 6, 3]</code>&nbsp;，相邻绝对差值为&nbsp;<code>[10, 3]</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [6,5,3,4,2,1]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>4</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>最长子序列是&nbsp;<code>[6, 4, 2, 1]</code>&nbsp;，相邻绝对差值为&nbsp;<code>[2, 2, 1]</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [10,20,10,19,10,20]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>5</span></p>\n\n<p><b>解释：</b></p>\n\n<p>最长子序列是&nbsp;<code>[10, 20, 10, 19, 10]</code>&nbsp;，相邻绝对差值为&nbsp;<code>[10, 10, 9, 9]</code>&nbsp;。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 300</code></li>\n</ul>\n",
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