How to Solve Lowest Common Ancestor of a Binary Search Tree Problem
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Lowest Common Ancestor of a Binary Search Tree
Given a binary search tree (BST), find the lowest common ancestor (LCA) node of two given nodes in the BST. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined betw...
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Understanding the Lowest Common Ancestor of a Binary Search Tree Problem
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Problem Statement
Given a binary search tree (BST), find the lowest common ancestor (LCA) node of two given nodes in the BST. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself).”
Lowest Common Ancestor of a Binary Search Tree
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Examples
root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 8
6
The LCA of nodes 2 and 8 is 6.
root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 4
2
The LCA of nodes 2 and 4 is 2, since a node can be a descendant of itself according to the LCA definition.
root = [2,1], p = 2, q = 1
2
Constraints
The number of nodes in the tree is in the range [2, 105].
109 <= Node.val <= 109
All Node.val are unique.
p != q
p and q will exist in the BST.
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