"Shifting Letters Challenge: A Prefix-Sum Logic Trick"

🔍 Day 30 | Shift Happens (and That’s Beautiful) Today’s LeetCode challenge was #848 – Shifting Letters 🌀 At first glance, it looks like a simple “shift characters” task — but under the hood, it’s a neat example of prefix-sum logic meets modular arithmetic. 💡 The Problem: For each index i, shift the first i+1 letters by shifts[i] times — wrapping around from 'z' to 'a'. 🧠 The Trick: If we start from the end of the string and move backward, we can keep a cumulative shift sum that already accounts for all later shifts. This avoids repeatedly looping over the prefix and keeps our time complexity O(n) instead of O(n²). ⚙️ Approach: Traverse from right to left Keep adding each shift to a running total (totalShift) Apply totalShift % 26 to shift the current character efficiently Update the string using a StringBuilder 💨 Why It’s Optimal: ✅ Single pass — linear time ✅ Constant extra space ✅ Clean and scalable even for large inputs (up to 10⁵ length! Sometimes the cleanest solutions come from flipping your perspective — literally shifting your direction Shishir chaurasiya and PrepInsta #LeetCode #CodingChallenge #Java #Algorithms #ProblemSolving #LearningEveryday

  • graphical user interface, application

Make an Excel sheet, track your progress daily, and remember one word — consistency is the key to success Sushmitha S

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