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Lowest Common Ancestor (LCA) – Crack This Essential Tree Problem! 🌳🔥

📌 Finding the Lowest Common Ancestor (LCA) is a crucial problem in binary trees and coding interviews! Learn how to solve it efficiently using Recursion (O(N)) and Binary Lifting (O(log N)).

🔹 Problem Statement:
✅ Given a binary tree, find the Lowest Common Ancestor (LCA) of two given nodes.
✅ LCA of two nodes is the lowest node in the tree that has both nodes as descendants.

✅ Example:

Input:
3
/ \
5 1
/ \ / \
6 2 0 8
/ \
7 4
LCA(5, 1) = 3
LCA(6, 4) = 5
🔹 Approach:
🚀 Brute Force: Store paths for both nodes & find the last common node (O(N) space & time) ❌
⚡ Optimal Approach – Recursive DFS:
✅ If the root is either of the nodes, return root.
✅ Recursively find LCA in left & right subtrees.
✅ If both return values are non-null, return root (LCA).
✅ Time Complexity: O(N) ✅
✅ Space Complexity: O(H) ✅

💡 Advanced Approach – Binary Lifting (for Binary Search Trees or Trees with Parent Pointers).

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Видео Lowest Common Ancestor (LCA) – Crack This Essential Tree Problem! 🌳🔥 канала Santhosh
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