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0-1 Knapsack Problem PART 1 | Top Down DP/Memoization | Java | Data Structures, Top Down Dynamic Programming - Software Engineering Interview/Placement/Leetcode Questions - MAANG/FAANG, Facebook, Google, Amazon, Microsoft, Netflix SIMILAR PROBLEMS FOR PRACTICE: 1. Given an array, find if there exists a subset which sums upto a number k http://www.techiedelight.com/subset-s... 2. Given an array arr[] of size N, check if it can be partitioned into two parts such that the sum of elements in both parts is the same - https://practice.geeksforgeeks.org/pr... WHAT IS COVERED IN THIS VIDEO: 1. Understand the problem 2. Initial Approach 1 - Why picking up ones with maximum value first doesn't work 3. Initial Approach 2 - Why picking up ones with least weight first doesn't work 4. Initial Approach 3 - Iterating through all combinations and then choosing one with maximum value is expensive 5. Initial Approach 4 - Thinking and applying direct recursion on problem doesn't work 4. Thinking through Include/Exclude Technique and deriving the recursive relation 5. Writing Recursive Relation into Algorithm 6. Identifying Base/Terminating conditions 7. Converting the Recursion algorithm into Top Down Dynamic Programming Algorithm - Dealing with Overlapping problems 8. Time and Space complexity analysis 9. Code walkthrough 10. Extension - Returning the items included in Knapsack- How to solve it This problem uses a very common problem-solving technique - Include/Exclude technique. Once a candidate becomes comfortable with this technique, he can use this to solve a lot of similar problems. This problem is an example where direct recursion on the problem doesn't work. We have to solve a subproblem using Recursion and Dynamic Programming and then derive our final answer. Link for full code repository - https://github.com/prateekgoyal511/ds... Linkedin - / prateek-goyal-54b32927 Telegram - https://t.me/betterSoftEng Quora space - https://datastructuresandalgo.quora.com Playlists:- 1.GENERAL - • Time Complexity and Space Complexity | Dat... 2. ARRAYS - • Data Structures | Arrays | Subarray with g... 3. STRINGS - • Reverse words in a String | Java | Data St... 4. RECURSION - • DSA | Recursion 5. RECURSION AND DYNAMIC PROGRAMMING - • Permutations of a given String | Java | Da... 6. BACKTRACKING - • DSA | Backtracking 7. HEAP - • Kth Smallest Element in Array | Java | Dat... 8. ALL SUBSEQUENCE PROBLEMS - • DSA | All Subsequence Problems 9. ALL PALINDROME PROBLEMS - • DSA | All Palindrome Questions 10. ALL COINS PROBLEMS - • All Coins Problems 11. BINARY SEARCH PROBLEMS - • DSA | Binary Search Problems If you feel that the content is useful, please SUBSCRIBE!