Dynamic Programming Solutions for Subsequence Problems: Longest Increasing Subsequence, Longest Continuous Increasing Subsequence, and Longest Common Subarray

Longest Increasing Subsequence (LIS) Problem: Given an unsorted array, find the length of the longest increasing subsequence. Dynamic Programming Approach: Define DP array: Let lis[i] represent the length of the longest increasing subsequence ending at index i. Transition: For each i, iterate through all j < i, and if nums[i] > nums[j], ...

Posted on Sun, 21 Jun 2026 16:25:59 +0000 by cryp7