LeetCode Daily Challenge: Smallest Subtree with All Deepest Nodes

🚀 LeetCode Daily Challenge – Day 9 Problem #865: Smallest Subtree with All the Deepest Nodes (Medium) Another solid tree + DFS problem that really tests how well you understand recursion and depth tracking. 🧭 How I Approached the Question: The key was realizing that I don’t just need the depth of each subtree — I also need to know which node represents the smallest subtree containing all deepest nodes. So instead of a normal DFS, I designed a recursive function that returns two things: the height of the subtree the candidate node that could be the answer 🧠 Core Insight: For each node: Recursively compute (height, node) from the left and right subtrees Compare their heights: If left height > right height → deepest nodes are on the left If right height > left height → deepest nodes are on the right If equal → current node becomes the smallest subtree containing all deepest nodes This bottom-up approach ensures that: ✔️ Depth is calculated correctly ✔️ The smallest valid subtree is chosen automatically 🛠️ Why This Works: The deepest nodes define the maximum depth. The lowest common ancestor of all deepest nodes is exactly what the problem asks for. ⏱ Time Complexity: O(n) 📦 Space Complexity: O(h) (recursion stack) This problem was a great reminder that: 👉 Sometimes returning more information from recursion makes the solution much cleaner. 📌 Tree problems get easier once you stop thinking top-down and start thinking bottom-up. #LeetCode #DailyCoding #BinaryTree #DFS #Recursion #ProblemSolving #DSA #Python #CodingJourney

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