Package g2401_2500.s2407_longest_increasing_subsequence_ii

Class Solution

java.lang.Object
g2401_2500.s2407_longest_increasing_subsequence_ii.Solution
public class Solution extends java.lang.Object
2407 - Longest Increasing Subsequence II.

Hard

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.

Example 1:

Input: nums = [4,2,1,4,3,4,5,8,15], k = 3

Output: 5

Explanation:

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.

Example 2:

Input: nums = [7,4,5,1,8,12,4,7], k = 5

Output: 4

Explanation:

The longest subsequence that meets the requirements is [4,5,8,12].

The subsequence has a length of 4, so we return 4.

Example 3:

Input: nums = [1,5], k = 1

Output: 1

Explanation: 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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    lengthOfLIS(int[] nums, int k)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • lengthOfLIS

      public int lengthOfLIS(int[] nums, int k)