#300

Longest Increasing Subsequence

Medium
ArrayBinary SearchDP

Given an integer array `nums`, return *the length of the longest **strictly increasing subsequence***.

Examples

Example 1
Input: nums = [10,9,2,5,3,7,101,18]
Output: 4
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
  • -10^4 <= nums[i] <= 10^4
Code Editor