LeetCode Day 1: Longest Common Prefix (Sorting + Character Comparison)

🧠 LEETCODE CONSISTENCY SERIES 🚀 Day 1️⃣1️⃣ of 365 Days 🔁 📘 Topic: Strings 🧩 Problem: Longest Common Prefix (LeetCode #14) ⏱ Time Taken: ~15 minutes 🔹 Approach: Sorting + Character Comparison 🧠 After sorting the array of strings, only the first and last strings need to be compared. Any common prefix shared by all strings must also be common between these two. 🧩 Step-by-Step Algorithm 🔍 🧱 Step 1: Initialization / Setup Sort the list of strings lexicographically. This groups similar prefixes together. 🧵 Step 2: Starting State / Base Case Store the first and last strings from the sorted list. Initialize an empty string prefix to store the result. 🔁 Step 3: Main Loop / Traversal Iterate character-by-character up to the minimum length of the first and last strings. ⚖️ Step 4: Key Logic / Condition Check If characters at the same index match, add them to prefix. Stop the loop as soon as a mismatch is found. 🎯 Step 5: Termination Condition Loop ends on the first mismatch or when one string ends. 🏁 Step 6: Return Result Return the accumulated prefix. 🧠 Why This Works 💡 Sorting ensures the maximum possible difference appears between first and last strings. If these two share a prefix, all middle strings must share it too. Avoids unnecessary comparisons with every string. ⏱ Time Complexity ⌛ Best Case: O(n log n) Average Case: O(n log n) Worst Case: O(n log n) (Sorting dominates the complexity) 💾 Space Complexity 📦 O(1) (Ignoring input sorting space) Only a few variables are used for comparison. 🚀 What I Learned Today 📚 Sorting can simplify string comparison problems. Comparing just two extreme elements can be enough. Clean logic often beats brute force. 📌 Next Goal 🎯 Explore vertical scanning and Trie-based solutions for this problem. Consistency > Motivation 💪 🔗 GitHub: https://lnkd.in/dRGB_B8Z #DSA #LeetCode #Python #ProblemSolving #365DaysOfCode #CodingJourney 🚀

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