Mastering Prefix Sum & Suffix Sum in Java for DSA

🚀 Mastering Prefix Sum & Suffix Sum in Java (DSA) Understanding Prefix Sum and Suffix Sum is a game-changer in Data Structures & Algorithms. These concepts help optimize problems that involve range sums and reduce time complexity significantly. 🔹 What is Prefix Sum? Prefix Sum is an array where each element at index `i` stores the sum of elements from index `0` to `i`. 👉 Formula: prefix[i] = prefix[i-1] + arr[i] 👉 Java Example: int[] arr = {1, 2, 3, 4, 5}; int n = arr.length; int[] prefix = new int[n]; prefix[0] = arr[0]; for(int i = 1; i < n; i++) { prefix[i] = prefix[i - 1] + arr[i]; } // Output: [1, 3, 6, 10, 15] 🔹 What is Suffix Sum ? Suffix Sum is an array where each element at index `i` stores the sum from index `i` to the end of the array. 👉 Formula: suffix[i] = suffix[i+1] + arr[i] 👉 Java Example: int[] arr = {1, 2, 3, 4, 5}; int n = arr.length; int[] suffix = new int[n]; suffix[n - 1] = arr[n - 1]; for(int i = n - 2; i >= 0; i--) { suffix[i] = suffix[i + 1] + arr[i]; } // Output: [15, 14, 12, 9, 5] 💡 Why is this important? ✔ Reduces time complexity from O(n²) → O(n) ✔ Used in range sum queries ✔ Helps in solving problems like equilibrium index, subarray sums, etc. Pro Tip: Once you understand prefix sums, try solving problems like: Subarray Sum Equals K Pivot Index Range Sum Query ✨ Consistency in DSA is the key. Small concepts like these build strong problem-solving foundations. #DSA #Java #Programming #Coding #SoftwareEngineering #SDET #Learning

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