Solved LeetCode Problem #852 with Java and Binary Search

🚀 Day 58 of #100DaysOfCode 🚀 Today, I solved LeetCode Problem #852 – Peak Index in a Mountain Array 🏔️ 📘 Problem Statement: Given an integer array that first increases and then decreases (a “mountain array”), find the index of the peak element — the point where the sequence changes from increasing to decreasing. 💻 Language: Java ⚡ Runtime: 0 ms — Beats 100.00% ⚡ 📉 Memory: 56.29 MB — Beats 60.76% 🧠 Concept Used: 🔹 Binary Search Optimization – Instead of linearly scanning the array, I applied binary search to achieve O(log n) time complexity. 🔹 This approach identifies the peak by checking midpoints and adjusting the search range efficiently. 🧩 Approach: 1️⃣ Initialize low = 0 and high = arr.length - 1. 2️⃣ Use binary search: ➡️ If arr[mid] < arr[mid + 1], the peak lies to the right → move low = mid + 1. ➡️ Else, the peak is at mid or to the left → move high = mid. 3️⃣ Return low when low == high — the index of the peak. ✅ Complexity: Time: O(log n) Space: O(1) ✨ Takeaway: Binary Search isn’t just for finding numbers — it’s a pattern for optimizing any “search in sorted behavior” scenario. Learning to spot monotonic trends in problems can turn O(n) solutions into O(log n) ones! #100DaysOfCode #LeetCode #Java #ProblemSolving #Algorithms #BinarySearch #DataStructures #CodingChallenge #CleanCode #SoftwareEngineering #TechLearning

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