Longest Increasing Subsequence

IF
AlgoAxiomStaff Engineers
JSTS
Medium20 mins

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

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.

Examples

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

Explanation: The longest increasing subsequence is [0,1,2,3].

Example 3:

Input: nums = [7,7,7,7,7,7,7]

Output: 1

Explanation: All elements are the same, so the longest strictly increasing subsequence has length 1.

Constraints

  • 1 <= nums.length <= 2500
  • -10^4 <= nums[i] <= 10^4
Source: Dynamic Programming pattern — AlgoAxiom
JavaScript
Test Case 1
root = [1, 2, 3]
Test Case 2
root = [1, 2, 3, 4, 5]
Idle