37 lines
1.3 KiB
Markdown
37 lines
1.3 KiB
Markdown
|
Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST.
|
||
|
|
||
|
According to the [definition of LCA on Wikipedia](https://en.wikipedia.org/wiki/Lowest_common_ancestor): “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**).”
|
||
|
|
||
|
**Example 1:**
|
||
|
|
||
|
![](https://assets.leetcode.com/uploads/2018/12/14/binarysearchtree_improved.png)
|
||
|
|
||
|
Input: root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 8
|
||
|
Output: 6
|
||
|
Explanation: The LCA of nodes 2 and 8 is 6.
|
||
|
|
||
|
|
||
|
**Example 2:**
|
||
|
|
||
|
![](https://assets.leetcode.com/uploads/2018/12/14/binarysearchtree_improved.png)
|
||
|
|
||
|
Input: root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 4
|
||
|
Output: 2
|
||
|
Explanation: The LCA of nodes 2 and 4 is 2, since a node can be a descendant of itself according to the LCA definition.
|
||
|
|
||
|
|
||
|
**Example 3:**
|
||
|
|
||
|
Input: root = [2,1], p = 2, q = 1
|
||
|
Output: 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.
|
||
|
|
||
|
https://leetcode.com/problems/lowest-common-ancestor-of-a-binary-search-tree
|