How to Solve Longest Increasing Subsequence I I Problem
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Longest Increasing Subsequence II
You are given an integer array nums and an integer k. Find the longest subsequence of nums that meets the following requirements: The subsequence is strictly increasing and The difference between adja...
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Understanding the Longest Increasing Subsequence I I Problem
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Problem Statement
You are given an integer array nums and an integer k. Find the longest subsequence of nums that meets the following requirements: The subsequence is strictly increasing and The difference between adjacent elements in the subsequence is at most k. Return the length of the longest subsequence that meets the requirements. A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.
Longest Increasing Subsequence II
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Examples
nums = [4,2,1,4,3,4,5,8,15], k = 3
5
The longest subsequence that meets the requirements is [1,3,4,5,8]. The subsequence has a length of 5, so we return 5. Note that the subsequence [1,3,4,5,8,15] does not meet the requirements because 15 - 8 = 7 is larger than 3.
nums = [7,4,5,1,8,12,4,7], k = 5
4
The longest subsequence that meets the requirements is [4,5,8,12]. The subsequence has a length of 4, so we return 4.
nums = [1,5], k = 1
1
The longest subsequence that meets the requirements is [1]. The subsequence has a length of 1, so we return 1.
Constraints
1 <= nums.length <= 105
1 <= nums[i], k <= 105
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