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Problem: Kth Smallest Element in a BST

Explore how to identify the kth smallest element in a binary search tree by performing an iterative inorder traversal. Learn to optimize the search process, understand the algorithm's time and space complexity, and apply a stack-based approach to efficiently solve this problem.

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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 ...