"Dynamic Tracking for Maximum Product Subarray"

🚀 Day 63 – Tackling Fluctuating Products with Dynamic Tracking! 🧩 Problem: 152. Maximum Product Subarray The task is to find the contiguous subarray that produces the maximum product — a classic challenge because negative numbers can flip the result unpredictably. 🧠 Approach To handle the unpredictable effect of negatives, I used a dual-tracking dynamic approach: 👉 I maintained maxProduct and minProduct at each step. 👉 A negative number can turn a large positive into a large negative — or turn a large negative into a new maximum. 👉 So whenever I encountered a negative value, I swapped the current max and min to keep their roles correct. Then: maxProduct = max(current number, current × maxProduct) minProduct = min(current number, current × minProduct) The global result tracks the highest maxProduct seen so far. 🔗 Problem Link: https://lnkd.in/gFS48h5c 🔗 GitHub Link: https://lnkd.in/gCe-A-Ev 💡 Reflection This problem reinforced how crucial it is to understand behavior under change. A single negative value can invert the entire outcome so tracking both extremes becomes essential. It’s a good reminder that elegant solutions often come from recognizing patterns, not just applying formulas. Thinking dynamically and adapting per element turned a chaotic problem into a predictable one. #LeetCode #Arrays #DynamicProgramming #TwoPointers #Java #Day63 #CodingJourney #100DaysChallenge #ProblemSolving #LearningEveryday #CleanCode

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