Longest Increasing Subsequence (LeetCode)

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Longest Increasing Subsequence
Classic programming interview question asked by top tech companies.

Programming Language:
Python

Solution:
Time Complexity: O(n^2)

Problem Description:
Given an unsorted array of integers, find the length of longest increasing subsequence.

Example:

Input: [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.
Note:

There may be more than one LIS combination, it is only necessary for you to return the length.
Your algorithm should run in O(n2) complexity.
Follow up: Could you improve it to O(n log n) time complexity?
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