Give a dynamic programming algorithm within the given timecomplexity for the conditions on the array:
![Given an array A - [ai,a2,...,an] of integers, we say that a subsequenceaai is (monotonically) increasing if for every is < t](https://media.cheggcdn.com/media%2F48b%2F48b4d070-a555-498b-ba35-0a1738566fee%2FphpJuw5kZ.png)
Given an array A – [ai,a2,…,an] of integers, we say that a subsequenceaai is (monotonically) increasing if for every is < t, we have ai. 〈 ai. Given an array A of size n, we want to compute the length of the longest increasing subsequence (LIS) in A. For instance, if A 9,5,2,8,7,3, 1,6,4) the length of the LIS is 3,
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