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Problem: Validate Binary Search Tree

Explore how to validate if a binary tree is a binary search tree by applying recursive checks on node values within defined ranges. Understand enforcing BST properties through bounds on each subtree, and learn to implement this in JavaScript to confirm correctness efficiently.

Statement

Given the root of a binary tree, determine whether it is a valid binary search tree (BST).

A valid BST satisfies the following properties:

  • The left subtree of every node contains only nodes with keys strictly less than that node’s key.

  • The right subtree of every node contains only nodes with keys strictly greater than that node’s key.

  • Both the left and right subtrees must themselves be valid binary search trees.

Return true if the given binary tree is a valid BST, and false otherwise.

Constraints:

  • The number of nodes in the tree is in the range [1,104][1, 10^4].

  • ...