How do you find an element in a BST?
Searching
- Compare the element with the root of the tree.
- If the item is matched then return the location of the node.
- Otherwise check if item is less than the element present on root, if so then move to the left sub-tree.
- If not, then move to the right sub-tree.
- Repeat this procedure recursively until match found.
How do you find the kth smallest element in a BST?
Given the root of a binary search tree and K as input, find Kth smallest element in BST. For example, in the following BST, if k = 3, then the output should be 10, and if k = 5, then the output should be 14.
How to find the kth element in a BST?
Kth Smallest Element in a BST Given the root of a binary search tree, and an integer k, return the k th ( 1-indexed) smallest element in the tree. The number of nodes in the tree is n. Follow up: If the BST is modified often (i.e., we can do insert and delete operations) and you need to find the kth smallest frequently, how would you optimize?
How to find the smallest element in BST?
For example, in the following BST, if k = 3, then the output should be 10, and if k = 5, then the output should be 14. Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution. The Inorder Traversal of a BST traverses the nodes in increasing order.
How to find kth largest element in binary search tree?
To find Kth largest element in a Binary search tree, the simplest logic is to do reverse inorder traversal and while doing reverse inorder traversal simply keep a count of number of Nodes visited. When the count becomes equal to k, we stop the traversal and print the data.
How is the time complexity of BST calculated?
The code first traverses down to the rightmost node which takes O (h) time, then traverses k elements in O (k) time. Therefore overall time complexity is O (h + k). Auxiliary Space: O (1).