### Pseudocode for Finding the Kth Smallest Element in a Binary Search Tree (BST)The task is to implement the `FindKth` function on a Binary Search Tree (BST). This function should accept a pointer to the root of a BST and an integer K. The function returns the Kth smallest value in the BST if one exists or -99999 otherwise. Assume that K is indexed starting at 0. Do not assume that height information is stored at each node.#### ExampleFor example, `FindKth(a, 3)` would return the value `13` for the following BST:#### Diagram ExplanationThe BST is represented as follows:- The root of the tree is `13`.- The left child of `13` is `11`.- The right child of `13` is `15`.- The left child of `11` is `10`.- The right child of `11` is `12`.- The left child of `15` is `14`.``` 13 / \ 11 15 / \ / 10 12 14```### Sample PseudocodeTo find the Kth smallest element in the BST, follow these steps:1. Perform an in-order traversal of the BST.2. Keep track of the number of nodes visited.3. When K nodes have been visited, return the value of the current node.#### Pseudocode Implementation```function FindKth(node, K): # This list will hold the current count of visited nodes and the value of the Kth node result = [-99999, -1] # result[0] will be updated with the value of the Kth smallest element # Helper function to perform in-order traversal function in_order_traversal(node, K, result): if node is None: return # Traverse the left subtree in_order_traversal(node.left, K, result) # Visit the current node result[1] += 1 if result[1] == K: result[0] = node.value return # Traverse the right subtree in_order_traversal(node.right, K, result) # Start in-order traversal from the root node in_order_traversal(node, K, result)

code to implement kth function on BST

Provide pseudocode to implement the Findkth function on a Binary Search Tree (BST). This function should accept a pointer to the root of a BST and an integer K. The function returns the Kth smallest valu in the BST if one exists or -99999 otherwise. Assume that K is indexed starting at 0. Do not assume that height information is stored at each node. For example, FindKth(a,3) would return the value 13 for the following BST.

Provide pseudocode to implement the Findkth function on a Binary Search Tree (BST). This function should accept a pointer to the root of a BST and an integer K. The function returns the Kth smallest valu in the BST if one exists or -99999 otherwise. Assume that K is indexed starting at 0. Do not assume that height information is stored at each node. For example, FindKth(a,3) would return the value 13 for the following BST.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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