Maximum Non Negative Product in a Matrix | Recursion | Memo | Bottom Up | Leetcode 1594 |DP On Grids

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Published on January 2, 2025 11:30:34 AM ● Video Link: https://www.youtube.com/watch?v=l2_da8_l1jw

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iPad PDF NOTES - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/iPad PDF Notes/Leetcode-1594-Maximum Non Negative Product in a Matrix.pdf
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Minimum Path Sum Video -    • Minimum Path Sum | Recursion | Bottom...  

This is the 33rd Video of our Playlist "DP Concepts & Qns" by codestorywithMIK

We already covered the introduction of DP On Grids in video-29 and video-30 of this playlist.
Video-29 - Part-1 -    • Introduction | DP On Grids | Part 1 |...  
Video-30 - Part-2 -    • Introduction | DP On Grids | Part 2 |...  

Today we will be solving a very good problem based on Grid DP - Maximum Non Negative Product in a Matrix | Recursion | Memo | Bottom Up | Leetcode 1594 | DP On Grids | codestorywithMIK
We will solve it using Recursion and Memoization and then we will convert that to Bottom Up.
I will explain the reason behind everything which needs to be known for clearly understanding the solution. It might be a lengthy video,
but for beginners I have added minute details which made it lengthy.


I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.

Problem Name : Maximum Non Negative Product in a Matrix | Recursion | Memo | Bottom Up | Leetcode 1594 | DP On Grids | codestorywithMIK
Company Tags : will update later
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/DP/DP on Grids/Maximum Non Negative Product in a Matrix.cpp
Leetcode Link : https://leetcode.com/problems/maximum-non-negative-product-in-a-matrix/description/


My DP Concepts Playlist :    • Roadmap for DP | How to Start DP ? | ...  
My Graph Concepts Playlist :    • Graph Concepts & Qns - 1 : Graph will...  
My Segment Tree Concepts Playlist :    • Segment Tree | Introduction | Basics ...  
My Recursion Concepts Playlist :    • Introduction | Recursion Concepts And...  
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Video Summary :
Approach 1: Recursion + Memoization
This approach uses recursion to explore all paths from the top-left to the bottom-right cell while memoizing the results for each cell to avoid redundant calculations. It calculates the maximum and minimum products by considering the paths from below and to the right.

Approach 2: Bottom-Up Dynamic Programming
This approach iteratively fills a DP table starting from the top-left cell, computing the maximum and minimum products by considering the cells above and to the left. It avoids recursion and directly computes the result in a more efficient, iterative manner.


✨ Timelines✨
00:00 - Introduction
0:10 - Motivation
1:26 - Solve Minimum Path Sum
2:11 - Problem Explanation
4:42 - Thought Process + Tree Diagram
9:47 - What we could do wrong
22:20 - Recursion & Memoization
32:35 - Coding Recursion & Memoization
45:09 - Understanding Bottom Up
59:32 - Coding bottom up

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