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Learn Data Structures and Algorithms in JavaScript

Problem: Kth Smallest Element in a BST

Explore how to find the kth smallest element in a binary search tree by applying iterative inorder traversal. Understand the approach using a stack to control traversal and optimize the search process, including handling frequent tree modifications. This lesson builds your ability to implement efficient tree queries in JavaScript with consideration to time and space complexity.

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Statement

Given the root of a binary search tree and an integer k, return the kthk^{th} smallest value (11-indexed) among all node values in the tree.

Note: If the BST is modified frequently (i.e., with insert and delete operations) and you need to find the kthk^{th} smallest element repeatedly, how would you optimize your approach?

Constraints:

  • The number of nodes in the tree is n.

  • 1≤1 \leq k ≤\leq n ≤104\leq 10^4 ...