Find longest increasing subsequence (LIS) (Tabulation)

Given an array of size n, find the length of the longest increasing subsequence (LIS), in which the elements of the subsequence are sorted in increasing order.

Hint

Building upon understanding of Find longest increasing subsequence (LIS) (Memoization). Tabulation essentially reconstructs the cache.

Start with the foundation – the base cases, which are the simplest solutions. Then, layer by layer, use the results of the previous layers to calculate the solutions for the next level. This way, we systematically build up the entire solution, avoiding redundant calculations and ensuring efficiency. It is like building a pyramid.

The underlying calculation logic remains fundamentally identical to the original recursive approach, albeit executed in reverse order.

• Python
• Javascript
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