30-Day Coding Sprint: Maximum Product Subarray Optimization

Day 4 of 30-day Coding Sprint Today was a deep dive into Maximum Product Subarray—a classic problem that looks simple until you hit zeros and negative numbers. Today's progress on Leetcode: 152. Maximum Product Subarray - The Brute Force: Nesting loops to check every single subarray. At O(N^3) (or O(N^2) with optimization), it's too much for large datasets. - The Observation: Unlike sums, products are volatile. A single zero resets everything, and a negative number can turn a tiny product into a maximum (or vice versa). - The Optimal Strategy (Prefix & Suffix): By calculating products from both the front (Prefix) and the back (Suffix), you naturally handle the "even vs. odd" negative number count. The Zero Reset: Whenever a product hits 0, I reset to 1 to start a fresh subarray. Result: Clean O(N) time complexity with O(1) space. #30DaysOfCode #DSASprint #LeetCode #JavaScript #Algorithms #Optimization #Consistency

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