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Java-based LeetCode algorithm problem solutions, regularly updated
300\. Longest Increasing Subsequence
Medium
Given an integer array `nums`, return the length of the longest strictly increasing subsequence.
A **subsequence** is a sequence that can be derived from an array by deleting some or no elements without changing the order of the remaining elements. For example, `[3,6,2,7]` is a subsequence of the array `[0,3,1,6,2,2,7]`.
**Example 1:**
**Input:** nums = [10,9,2,5,3,7,101,18]
**Output:** 4
**Explanation:** The longest increasing subsequence is [2,3,7,101], therefore the length is 4.
**Example 2:**
**Input:** nums = [0,1,0,3,2,3]
**Output:** 4
**Example 3:**
**Input:** nums = [7,7,7,7,7,7,7]
**Output:** 1
**Constraints:**
* `1 <= nums.length <= 2500`
* -104 <= nums[i] <= 104
**Follow up:** Can you come up with an algorithm that runs in `O(n log(n))` time complexity?