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Tree

Lowest Common Ancestor of BST

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Lowest Common Ancestor of BST** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Exploit BST property: navigate by value **Edge Cases to Consider:** - (1) One node is ancestor of other - (2) Both nodes same - (3) Nodes at opposite extremes

Examples

Example 1
Input: [6,2,8,0,4,7,9,null,null,3,5], p=2, q=8
Output: Node 6
Explanation: Root is LCA
Example 2
Input: [6,2,8,0,4,7,9,null,null,3,5], p=2, q=4
Output: Node 2
Explanation: p is ancestor of q
Example 3
Input: [2,1], p=2, q=1
Output: Node 2
Explanation: Root and child

Constraints

  • ▪The number of nodes in the tree is in the range [0, 2000]
  • ▪-1000 <= Node.val <= 1000
  • ▪Ensure depth-first or breadth-first traversals are memory-efficient

Watch Out For Edge Cases

  • ▪One node is ancestor of other
  • ▪Both nodes same
  • ▪Nodes at opposite extremes
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