Yogesh ..’s Post

Day 71/100 | #100DaysOfDSA 🧩🚀 Today’s problem: Maximum Subarray Min-Product A powerful problem combining prefix sums and monotonic stack. Problem idea: For every subarray, calculate (minimum element × sum of subarray) and find the maximum value. Key idea: Monotonic stack + prefix sum optimization. Why? • Brute force would be too slow (O(n²)) • Need to efficiently find range where each element is minimum • Prefix sum helps compute subarray sum in O(1) How it works: • Build prefix sum array • Use monotonic increasing stack • For each element, find its left & right boundary • Treat each element as the minimum of a subarray • Compute subarray sum using prefix • Multiply with element → track maximum Time Complexity: O(n) Space Complexity: O(n) Big takeaway: Monotonic stack helps solve “nearest smaller element” problems efficiently, which unlocks many advanced patterns. 🔥 Day 71 done. 🚀 #100DaysOfCode #LeetCode #DSA #Algorithms #MonotonicStack #PrefixSum #Java #CodingJourney #ProblemSolving #InterviewPrep #TechCommunity

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