Hamming Distance & Early-Exit Optimization in LeetCode

#100DaysOfLeetcode journey 🚀 🚀 Day 72/100 — Hamming Distance & Early-Exit Optimization! Today’s Problem: 2452. Words Within Two Edits of Dictionary 🔹 The Goal: Given a set of query words and a dictionary, identify which queries can be transformed into any dictionary word using a maximum of two character replacements. 🔹 The Insight: This is a classic "String Similarity" problem. Since all words are guaranteed to have the same length, the number of edits required is simply the Hamming Distance—the count of positions where characters differ. 🔹 The Logic: Exhaustive Comparison: For each query, we check it against the dictionary entries until we find a match within the 2-edit threshold. The Early Break (Pruning): This is the key optimization. While comparing two words character by character, if the difference count (diff) exceeds 2, we immediately stop and move to the next dictionary word. Short-Circuiting: Once a query word is validated against any dictionary word, we add it to our results and immediately move to the next query, avoiding unnecessary comparisons. ✨ Achievement: Day 72! Moving into the final 30 days of the challenge. Today’s solution highlights how simple logic—like breaking a loop early when a threshold is breached—can significantly improve the performance of $O(N \cdot M)$ algorithms without the complexity of more advanced data structures like Tries. 🔍 Steps followed: ✔ Hamming Distance Logic: Calculated positional differences for equal-length strings. ✔ Threshold Gating: Implemented a diff > 2 check to prune redundant character comparisons. ✔ Order Preservation: Ensured the results followed the original query sequence. 🔧 The Stats: Time Complexity: $O(Q \cdot D \cdot L)$ (where $Q$ is queries, $D$ is dictionary size, and $L$ is word length) Space Complexity: $O(1)$ auxiliary space. 72 days down! The logic is getting sharper, and the finish line is coming into focus. Let’s keep pushing! 🛠️ #Java #DSA #LeetCode #CodingJourney #100DaysOfCode #SoftwareEngineer #InternshipBound #Programming #StringAlgorithms #Optimization #Algorithms #Day72

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