Write a program that inserts the numbers into an initially empty BST such that the tree produced is equivalent to binary search tree. Insert 16 as a root node then add 1 into 16 to generate 2nd number for insertion, add 2 to the 2nd number to generate 3rd number continue adding according to the level of the tree till 5th level. Then subtract 1 from root node to generate 7th node Continue subtracting till level of 5th level.   The Insert function will only take the root node and construct the entire tree Implement a remove function which can remove the 3rd layer numbers from right and left both sub trees. Implement a function to find the number which is nearby to your given age   Question-2 (b)  Draw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60, 90, 16} Delete 15 and re-draw both Binary Search Tree and AVL Tree drawn in given traversal. Reverse path of Binary Search Tree drawn Convert Binary Search Tree into Binary Tree such that sum of all greater keys is added to every key. Write a code to Convert Binary Search Tree drawn into Balanced Binary Search Tree

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
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Write a program that inserts the numbers into an initially empty BST such that the tree produced is equivalent to binary search tree.

Insert 16 as a root node then add 1 into 16 to generate 2nd number for insertion, add 2 to the 2nd number to generate 3rd number continue adding according to the level of the tree till 5th level. Then subtract 1 from root node to generate 7th node Continue subtracting till level of 5th level.

 

  • The Insert function will only take the root node and construct the entire tree
  • Implement a remove function which can remove the 3rd layer numbers from right and left both sub trees.
  • Implement a function to find the number which is nearby to your given age

 

Question-2 (b) 

Draw a binary search tree and AVL tree from the following traversals:

{15, 5, 20, 70, 3, 10, 60, 90, 16}

  • Delete 15 and re-draw both Binary Search Tree and AVL Tree drawn in given traversal.
  • Reverse path of Binary Search Tree drawn
  • Convert Binary Search Tree into Binary Tree such that sum of all greater keys is added to every key.
  • Write a code to Convert Binary Search Tree drawn into Balanced Binary Search Tree
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