# Verify binary search tree

Time：2021-6-10

#### Topic source here to verify binary search tree

Detailed definition of binary search tree

I’ll copy the title here~

Given a binary tree, judge whether it is an effective binary search tree.

Suppose a binary search tree has the following characteristics:

The left subtree of a node contains only the number less than the current node. The right subtree of a node only contains the number greater than the current node. All left and right subtrees must also be binary search trees. Example 1:

Input: 2 / ** 1 3** Output: true Example 2:

Input: 5 / ** 1 4_* **/ *_ 3 6 Output: false Explanation: the input is: [5,1,4, null, null, 3,6]. The root node has a value of 5, but its right child node has a value of 4.

## process

#### thinking

Traversal binary tree, each traversal to make clear the judgment conditions on the line. Let’s first look at the various methods of traversing binary tree, because it is to judge that the nodes on the left are smaller than those on the right, which is easier to understand with middle order. The code is as follows, detailed in the comments.

``````/**
* Definition for a binary tree node.
* function TreeNode(val) {
*     this.val = val;
*     this.left = this.right = null;
* }
*/
/**
* @param {TreeNode} root
* @return {boolean}
*/
var isValidBST = function(root) {
//If there is only one node, it is a binary search tree
if(root && root.right == null && root.left == null){
return true;
}
//Save the omitted nodes, and then select them in order
var tmpStack = [];
//Current node, starting from top
var curNode = root;
//Previous node
var lastNode = null;
while(curNode != null || tmpStack.length != 0){
//Middle order traversal: starting from the far left
while(curNode != null){
//Not the leftmost? Then save it in tmpstack and use it later
tmpStack.push(curNode);
//The left node of the current node, plus this while loop, determines whether its left is empty
curNode = curNode.left;
}
//This is the only way to get a null value, so you need to get the last node value that is not empty
curNode = tmpStack.pop();
//Ratio size
if(lastNode!==null && curNode.val <= lastNode){
return false;
}
//The current node is recorded as the previous node for the next comparison
lastNode = curNode.val;
//Look to the right
curNode = curNode.right;
}
return true;
};``````

## tail

1. When I think of learning data structure, binary tree learning is the best, today’s topic love love

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