Max Dot Product with 0 Insertions – DP Trick Nobody Explains Properly | GFG Medium Solved

Max Dot Product with 0 Insertions — GeeksforGeeks Medium Problem, Fully Explained! In this video, we solve the "Max Dot Product with 0 Insertions" problem step by step. We're given two arrays a[] and b[] where b is shorter than a, and we can insert any number of zeros into b to make it the same length as a. The goal is to maximize the dot product after the insertion. 🔍 What you'll learn in this video: Why this problem is actually a variation of LCS / subsequence matching How to define the DP state correctly Full dry run with examples Time & Space complexity analysis: O(n*m) Clean, optimized code walkthrough 💡 Problem Statement: Given two arrays a[] and b[] of positive integers of size n and m (m ≤ n), insert zeros into b so its length becomes n, and maximize the dot product of a and the new b. ✅ Approach: 2D Dynamic Programming (similar to LCS-style DP) ✅ Time Complexity: O(n*m) ✅ Space Complexity: O(n*m) (optimizable to O(m)) 📌 Practice this problem here: https://www.geeksforgeeks.org/problem... ⏱️ Timestamps: 0:00 Intro 0:30 Problem Explanation with Examples 2:00 Intuition Building 4:00 DP State Definition 6:00 Dry Run 9:00 Code Walkthrough 12:00 Complexity Analysis 👉 If this helped you, please LIKE, SHARE & SUBSCRIBE for more DSA content! 👉 Drop your doubts in the comments — I reply to every single one! #DSA #DynamicProgramming #CodingInterview #GeeksforGeeks #LeetCode #PlacementPrep --- Tags/Keywords: dsa, dynamic programming, dp, geeksforgeeks, gfg, max dot product, coding interview, placement preparation, java dsa, c++ dsa, python dsa, faang interview, lcs problem, subsequence dp, array problems, competitive programming