0300. Longest Increasing Subsequence

https://leetcode.com/problems/longest-increasing-subsequence

Description

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?