Subarray Sums Divisible by K | Prefix Sum + HashMap Explained | LeetCode 974 | DSA Pattern
Автор: Vandana Codes
Загружено: 2026-02-18
Просмотров: 24
Описание:
Subarray Sums Divisible by K | Prefix Sum + HashMap Explained | LeetCode 974 | DSA Pattern
Subarray Sums Divisible by K | Prefix Sum + HashMap Explained | LeetCode 974 | DSA Pattern
📌 Description
In this video, we solve Subarray Sums Divisible by K (LeetCode 974) using the powerful Prefix Sum + HashMap pattern.
This problem is frequently asked in coding interviews at top tech companies and is a must-know concept for mastering subarray problems.
🚀 What You’ll Learn:
✅ Naive O(n²) approach
✅ How Prefix Sum works
✅ Why equal remainders mean divisible subarrays
✅ Transition from brute force → optimal solution
✅ O(n) time complexity solution
✅ Clean C++ implementation
💡 Key Concept:
If two prefix sums have the same remainder when divided by k, the subarray between them is divisible by k.
This trick helps reduce the time complexity from O(n²) → O(n).
🧠 Related Problems You Should Practice:
Subarray Sum Equals K (LeetCode 560)
Binary Subarrays With Sum (LeetCode 930)
Continuous Subarray Sum (LeetCode 523)
If you're preparing for coding interviews or improving your DSA pattern recognition, this video will strengthen your Prefix Sum understanding.
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