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Most Profitable Path in a Tree 2467 - Python | Soumil Speaks

📌 Most Profitable Path in a Tree | LeetCode | Graph DFS Solution

🔥 Problem Statement:
Alice and Bob play a game on an undirected tree, where they move towards opposite directions:

Alice moves towards a leaf node to maximize her profit.
Bob moves towards the root node (0).
Each node has a gate that can either give a reward (positive amount) or require a fee (negative amount).
🎯 Goal: Find the maximum net income Alice can get if she chooses the best path.

🚀 Solution Approach:
✅ Step 1: Convert edges into an adjacency list.
✅ Step 2: Track Bob’s movement to adjust rewards accordingly.
✅ Step 3: Use Depth First Search (DFS) to find Alice’s best possible route.
✅ Step 4: Handle cases where Alice and Bob meet at a node (they split the amount).

📌 Time Complexity: O(n), making it efficient for large trees.

✨ Watch this video to learn:
🔹 How to use DFS to traverse trees.
🔹 How to track Bob’s movement and adjust rewards.
🔹 How to implement optimal path selection for Alice.

💡 Subscribe for more LeetCode Graph & Tree Problems! 🚀🔥

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