Dynamic Programming Challenge: Maximum Non-Negative Product in a Matrix

Day 82: Navigating Negative Products 📉 Problem 1594: Maximum Non-Negative Product in a Matrix Today’s challenge was a classic Dynamic Programming problem with a twist: negative numbers. In multiplication, two negatives make a positive, which means the "worst" path could suddenly become the "best" one. The Strategy: • Dual DP Tables: Maintained both a max and a min DP table. Why? Because a very small negative number multiplied by another negative can result in a massive positive. • Path Dependency: For every cell, I tracked four potential products (from the top and from the left, using both previous max and min values). • The Result: Finalized the maximum non-negative product at the bottom-right corner, applying the modulo as required. This problem is a great reminder that DP isn't always about just finding the "local max." Sometimes, you have to keep track of the extremes to catch those unexpected flips. 🚀 #LeetCode #Java #DynamicProgramming #Algorithms #DailyCode

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