Optimizing Strings + Arrays with Sorting and Boundary Comparison

🚀 Day 43 of #100DaysOfCode Today’s problem focused on Strings + Arrays with a clean optimization trick — 🧵 Longest Common Prefix 📌 Problem Summary Given an array of strings, the goal is to find the longest prefix shared by all strings. If no common prefix exists, return an empty string. At first glance, it feels like a brute-force string comparison problem — but there’s a smarter way 💡 🧠 My Approach: Sorting + Boundary Comparison Key insight: After sorting the array of strings lexicographically: The first and last strings will be the most different The common prefix of the entire array must be the common prefix of just these two strings Steps: Sort the array Compare characters of the first and last strings Stop when characters mismatch Extract the prefix till that point This avoids unnecessary comparisons across all strings and keeps the solution elegant and efficient ✨ ⚙️ Complexity Analysis ⏱ Time: O(n log n + m) 💾 Space: O(1) (ignoring sort internals) (n = number of strings, m = length of shortest string) 🔥 Key Learning Sorting can simplify problems that seem comparison-heavy Often, extreme cases (first & last) reveal global properties Clean logic > brute force ✅ Solution accepted successfully with fast runtime, keeping the momentum strong 💪 Onward to Day 44 — consistency builds mastery 🚀 #100DaysOfCode #LeetCode #Strings #Arrays #Java #DSA #ProblemSolving #CodingJourney #Consistency

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