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Longest Increasing Subsequence

The Longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order.

We are going to implement this algorithm in 4 different ways.

1. Using recursive method.
2. Optimized recursive method.
3. Dynamic programming.
4 Dynamic programming with binary search.

Lets start with the algorithm.

1. Using recursive method.

2. Optimized recursive method.

3. Dynamic programming.

4 Dynamic programming with binary search.

Output :

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