{ "data": { "question": { "questionId": "2526", "questionFrontendId": "2407", "categoryTitle": "Algorithms", "boundTopicId": 1809465, "title": "Longest Increasing Subsequence II", "titleSlug": "longest-increasing-subsequence-ii", "content": "
You are given an integer array nums
and an integer k
.
Find the longest subsequence of nums
that meets the following requirements:
k
.Return the length of the longest subsequence that meets the requirements.
\n\nA 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.
\n\n\n
Example 1:
\n\n\nInput: nums = [4,2,1,4,3,4,5,8,15], k = 3\nOutput: 5\nExplanation:\nThe longest subsequence that meets the requirements is [1,3,4,5,8].\nThe subsequence has a length of 5, so we return 5.\nNote that the subsequence [1,3,4,5,8,15] does not meet the requirements because 15 - 8 = 7 is larger than 3.\n\n\n
Example 2:
\n\n\nInput: nums = [7,4,5,1,8,12,4,7], k = 5\nOutput: 4\nExplanation:\nThe longest subsequence that meets the requirements is [4,5,8,12].\nThe subsequence has a length of 4, so we return 4.\n\n\n
Example 3:
\n\n\nInput: nums = [1,5], k = 1\nOutput: 1\nExplanation:\nThe longest subsequence that meets the requirements is [1].\nThe subsequence has a length of 1, so we return 1.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 105
1 <= nums[i], k <= 105
给你一个整数数组 nums
和一个整数 k
。
找到 nums
中满足以下要求的最长子序列:
k
。请你返回满足上述要求的 最长子序列 的长度。
\n\n子序列 是从一个数组中删除部分元素后,剩余元素不改变顺序得到的数组。
\n\n\n\n
示例 1:
\n\n输入:nums = [4,2,1,4,3,4,5,8,15], k = 3\n输出:5\n解释:\n满足要求的最长子序列是 [1,3,4,5,8] 。\n子序列长度为 5 ,所以我们返回 5 。\n注意子序列 [1,3,4,5,8,15] 不满足要求,因为 15 - 8 = 7 大于 3 。\n\n\n
示例 2:
\n\n输入:nums = [7,4,5,1,8,12,4,7], k = 5\n输出:4\n解释:\n满足要求的最长子序列是 [4,5,8,12] 。\n子序列长度为 4 ,所以我们返回 4 。\n\n\n
示例 3:
\n\n输入:nums = [1,5], k = 1\n输出:1\n解释:\n满足要求的最长子序列是 [1] 。\n子序列长度为 1 ,所以我们返回 1 。\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 105
1 <= nums[i], k <= 105
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