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leetcode/work/1/Medium/Tree/98.validate-binary-search-tree.py

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"""
98. Validate Binary Search Tree
Difficulty: Medium
https://leetcode.com/problems/validate-binary-search-tree/
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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 strictly
less than the node's key.
• The right subtree of a node contains only nodes with keys strictly
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, 10^4].
• -2^31 <= Node.val <= 2^31 - 1
"""
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, val=0, left=None, right=None):
# self.val = val
# self.left = left
# self.right = right
class Solution:
def isValidBST(self, root: Optional[TreeNode]) -> bool:
def valid(node, low, high):
if not node:
return True
if not (low < node.val < high):
return False
return valid(node.left, low, node.val) and valid(node.right, node.val, high)
return valid(root, float("-inf"), float("inf"))