You are given an array of integers nums.
Your task is to find the length of the longest subsequence seq of nums, such that the absolute differences between consecutive elements form a non-increasing sequence of integers. In other words, for a subsequence seq0, seq1, seq2, ..., seqm of nums, |seq1 - seq0| >= |seq2 - seq1| >= ... >= |seqm - seqm - 1|.
Return the length of such a subsequence.
\n\n\n
Example 1:
\n\nInput: nums = [16,6,3]
\n\nOutput: 3
\n\nExplanation:
\n\nThe longest subsequence is [16, 6, 3] with the absolute adjacent differences [10, 3].
Example 2:
\n\nInput: nums = [6,5,3,4,2,1]
\n\nOutput: 4
\n\nExplanation:
\n\nThe longest subsequence is [6, 4, 2, 1] with the absolute adjacent differences [2, 2, 1].
Example 3:
\n\nInput: nums = [10,20,10,19,10,20]
\n\nOutput: 5
\n\nExplanation:
\n\nThe longest subsequence is [10, 20, 10, 19, 10] with the absolute adjacent differences [10, 10, 9, 9].
\n
Constraints:
\n\n2 <= nums.length <= 1041 <= nums[i] <= 300给你一个整数数组 nums 。
你的任务是找到 nums 中的 最长 子序列 seq ，这个子序列中相邻元素的 绝对差 构成一个 非递增 整数序列。换句话说，nums 中的序列 seq0, seq1, seq2, ..., seqm 满足 |seq1 - seq0| >= |seq2 - seq1| >= ... >= |seqm - seqm - 1| 。
请你返回这个子序列的长度。
\n\n\n\n
示例 1：
\n\n输入：nums = [16,6,3]
\n\n输出：3
\n\n解释：
\n\n最长子序列是 [16, 6, 3] ，相邻绝对差值为 [10, 3] 。
示例 2：
\n\n输入：nums = [6,5,3,4,2,1]
\n\n输出：4
\n\n解释：
\n\n最长子序列是 [6, 4, 2, 1] ，相邻绝对差值为 [2, 2, 1] 。
示例 3：
\n\n输入：nums = [10,20,10,19,10,20]
\n\n输出：5
\n\n解释：
\n\n最长子序列是 [10, 20, 10, 19, 10] ，相邻绝对差值为 [10, 10, 9, 9] 。
\n\n
提示：
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