Mastering Java & DSA through LeetCode: Prefix Sum + DFS

Mastering Java & DSA Through LeetCode Day 34 Today I solved a Medium-level Tree problem that strengthened my understanding of Prefix Sum + DFS — a powerful pattern used in many interview questions. LeetCode Problem: 437. Path Sum III Problem Summary: Given a binary tree and a target sum, we need to find the number of paths where the sum of node values equals the target. The path must go downward (parent → child), but it doesn’t need to start from the root. Key Insight: Instead of checking all possible paths (which is inefficient), we use: Prefix Sum HashMap to store frequencies DFS traversal This helps reduce time complexity from O(n²) → O(n) ⚡ Approach: Maintain a running sum while traversing the tree Check if (currentSum - target) exists in the map Use backtracking to maintain correct state What I Learned: How prefix sum works in trees (not just arrays!) Optimizing brute-force solutions Importance of hashmap in reducing complexity Consistency Update: Day 34 of solving DSA problems daily 💪 Small steps every day = big results over time #LeetCode #Java #DSA #CodingJourney #100DaysOfCode #SoftwareEngineering #PlacementPreparation #CodingInterview

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