Program to find the kth maximum element in a binary search tree

Program to find the kth maximum element in a binary search tree

The program to find the kth maximum element in a binary search tree is discussed here. The binary search tree and a positive integer ‘k’ is given as input and the kth maximum element is produced as output.


Program to find the kth maximum element in a binary search tree


Program to find the kth maximum element in a binary search tree

Algorithm to find the Kth maximum element in a BST

  • Input the binary search tree and the K value from the user.
  • Find the reverse of inorder traversal of the binary search tree.
  • Reverse inorder traversal is done because the traversal all nodes takes place in decreasing order.
  • Keep track of the count of nodes visited while traversing.
  • When the count of the nodes becomes equal to K value, return the node.

The program to find the Kth largest element in a binary search tree is given below.

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Time complexity: O(n + k)

For traversing n nodes: O(n)

For traversing down to rightmost nodes: O(k)

Overall time complexity: O(n + k)


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Program to find the kth maximum element in a binary search tree

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