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August 9, 2021 02:15
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Validate Binary Search Tree LeetCode
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/* | |
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. | |
Example 1: | |
Input: root = [2,1,3] | |
Output: true | |
Example 2: | |
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 | |
*/ | |
/** | |
* Definition for a binary tree node. | |
* function TreeNode(val, left, right) { | |
* this.val = (val===undefined ? 0 : val) | |
* this.left = (left===undefined ? null : left) | |
* this.right = (right===undefined ? null : right) | |
* } | |
*/ | |
/** | |
* @param {TreeNode} root | |
* @return {boolean} | |
*/ | |
var isValidBST = function(root) { | |
return validate(root, null, null); | |
}; | |
var validate = function(root, low, high) { | |
if (root === null) { | |
return true; | |
} | |
if ((low != null && root.val <= low) || (high != null && root.val >= high)) { | |
return false; | |
} | |
return validate(root.left, low, root.val) && validate(root.right, root.val, high); | |
} | |
const root = [5,1,4,null,null,3,6]; | |
console.log(isValidBST(root)) | |
// Inorder Traversal | |
var isValidate2 = function(root) { | |
let prev = null; | |
validate2(root, prev); | |
} | |
var validate2 = function(root, prev) { | |
if (root === null) { | |
return true; | |
} | |
if (!validate2(root.left)) { | |
return false; | |
} | |
if (prev != null && root.val <= prev) { | |
return false; | |
} | |
prev = root.val; | |
return validate2(root.right) | |
// Time O(n) | |
// Space O(n) | |
} |
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