From e18764d99299f1b716a0fe742b0d469c360d25f4 Mon Sep 17 00:00:00 2001 From: juan Date: Fri, 8 Jul 2022 10:44:02 +0800 Subject: [PATCH] vault backup: 2022-07-08 10:44:02 --- .../Leetcode Validate-Binary-Search-Tree.md | 68 +++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 OJ notes/pages/Leetcode Validate-Binary-Search-Tree.md diff --git a/OJ notes/pages/Leetcode Validate-Binary-Search-Tree.md b/OJ notes/pages/Leetcode Validate-Binary-Search-Tree.md new file mode 100644 index 0000000..f31faaf --- /dev/null +++ b/OJ notes/pages/Leetcode Validate-Binary-Search-Tree.md @@ -0,0 +1,68 @@ +# Leetcode Validate-Binary-Search-Tree + +#### 2022-07-08 10:36 + +> ##### Algorithms: +> #algorithm #DFS #DFS_inorder +> ##### Data structures: +> #DS #binary_tree #binary_search_tree +> ##### Difficulty: +> #coding_problem #difficulty-medium +> ##### Additional tags: +> #leetcode #CS_list_need_practicing +> ##### Revisions: +> N/A + +##### Related topics: +```expander +tag:#DFS_inorder +``` + +- [[Leetcode Binary-Tree-Inorder-Traversal]] + + +##### Links: +- [Link to problem](https://leetcode.com/problems/validate-binary-search-tree/) +___ +### Problem +Given the `root` of a binary tree, _determine if it is a valid binary search tree (BST)_. + +A **valid BST** is defined as follows: + +- The left subtree of a node contains only nodes with keys **less than** the node's key. +- ==The right subtree of a node contains only nodes with keys **greater than** the node's key.== +- Both the left and right subtrees must also be binary search trees. + +#### Examples + +**Example 1:** + +![](https://assets.leetcode.com/uploads/2020/12/01/tree1.jpg) + +**Input:** root = [2,1,3] +**Output:** true + +**Example 2:** + +![](https://assets.leetcode.com/uploads/2020/12/01/tree2.jpg) + +**Input:** root = [5,1,4,null,null,3,6] +**Output:** false +**Explanation:** The root node's value is 5 but its right child's value is 4. + +#### Constraints +- The number of nodes in the tree is in the range `[1, 104]`. +- `-231 <= Node.val <= 231 - 1` +### Thoughts + +> [!summary] +> This is a #DFS #DFS_inorder problem. + +I have thought a lot of recursion methods, but at last I realized: + +> [!tip] The feature of +> For a BST, DFS inorder search returns an array of ascending numbers. + +The + +### Solution