How to Solve Longest Subsequence With Decreasing Adjacent Difference Problem
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Longest Subsequence With Decreasing Adjacent Difference
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 s...
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Understanding the Longest Subsequence With Decreasing Adjacent Difference Problem
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Problem Statement
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.
Longest Subsequence With Decreasing Adjacent Difference
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Examples
nums = [16,6,3]3The longest subsequence is [16, 6, 3] with the absolute adjacent differences [10, 3].
nums = [6,5,3,4,2,1]4The longest subsequence is [6, 4, 2, 1] with the absolute adjacent differences [2, 2, 1].
nums = [10,20,10,19,10,20]5The longest subsequence is [10, 20, 10, 19, 10] with the absolute adjacent differences [10, 10, 9, 9].
Constraints
2 <= nums.length <= 1041 <= nums[i] <= 300How Interview Coder Helps with Leetcode Problems
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