Angadveer Singh’s Post

View profile for Angadveer Singh

Undergraduate Computer Science Student | Python, C++, C | Web Development | Aspiring Game Developer

📅 Day 79 of 100 – #100DaysOfDSA 🧠 Problem Statement Given a collection of candidate numbers (candidates) that may contain duplicates, and a target number (target), find all unique combinations in candidates where the numbers sum to target. Each number in candidates may only be used once in the combination. 💡 Intuition This problem is a variation of the Combination Sum, solved using Backtracking, but with two crucial differences: Unique Combinations: The input array may contain duplicates, but the final combinations must be unique (e.g., if the input is [1, 1, 2], we don't want to list [1, 2] twice). Use Each Once: Each number in the combination must come from a unique index in the input array. Our approach: 1. Preprocessing: Sort the input candidates array. This groups duplicate numbers together. 2. Base Case: If target == 0, we found a valid unique combination, so we add a copy of the current combination (temp) to the result list (res) and return. 3. Loop and Pruning: We iterate from i = idx up to the end of the array. 4. Duplicate Skip: Crucial Step—If i > idx (not the first element in the current recursive call) AND candidates[i] == candidates[i - 1], we skip the current element. This prevents generating combinations that are identical to ones already generated using the previous duplicate number. 5. Value Pruning: If candidates[i] > target, we can stop the loop (break) because, due to sorting, all subsequent numbers will also be too large. 6. Recursive Step: Add candidates[i] to temp. Recurse with the next index (i + 1) and the reduced target: target - candidates[i]. Passing i + 1 enforces the rule that each number is used at most once. 7. Backtrack: Remove the element from temp. ✅ Complexity Analysis Time Complexity: O(2^n * n) Space Complexity: O(n) 🌟 The Journey Continues Day 79! We mastered the Combination Sum II problem. This solution highlights how sorting and a well-placed skip condition are essential modifications to the standard backtracking. If you're on a similar coding journey, let's connect and share our progress! 🚀 . . . #100DaysOfCode #Day79 #100DaysOfDSA #StriversA2ZDSA #Java #CodingJourney #DSA #ProblemSolving #DailyCode #CodeNewbie #LearningByDoing #CodingCommunity #Backtracking #CombinationSum #Recursion

  • graphical user interface, text, application

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