Longest Increasing Subsequence
Detailed guide and Python implementation for the 'Longest Increasing Subsequence' problem.
Problem Statement
Given an integer array nums, return the length of the longest strictly increasing subsequence.
Write a function lengthOfLIS(nums: List[int]) -> int.
- •1 <= len(nums) <= 2500
- •-10^4 <= nums[i] <= 10^4
Examples
nums = [10,9,2,5,3,7,101,18]
4
The longest increasing subsequence is [2,3,7,101], therefore the length is 4.
nums = [0,1,0,3,2,3]
4
The longest increasing subsequence is [0,1,2,3], length is 4.
nums = [7,7,7,7,7,7,7]
1
The longest increasing subsequence is [7], length is 1.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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