1. Insert the following numbers into an empty BST and draw the resulting tree: 67, 30, 12, 37.a) What is the height of the tree?b) Is this a perfect binary tree?c) This is not a complete binary tree.Make this a complete tree by inserting the minimal number of nodes needed.Draw your result.2. Insert the following numbers into an empty BST and draw the resulting tree.23, 42, 12, 57, 5, 16, 46, 1.a) What is the height of the tree?3. Remove the following numbers from the BST from step 2 using lazy removal: 42, 16, 57.Draw the resulting tree.a) What is the height of the tree?4. Now insert the following numbers into the BST from step 3: 40, 20, 16, 42.Draw the resulting tree.a) What is the height of the tree?5. Write an algorithm (in pseudocode) to calculate the height of a tree (including removedtrees).

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Insert the following numbers into an empty BST and draw the resulting tree: 67, 30, 12, 37. a) What is the height of the tree? b) Is this a perfect binary tree? c) This is not a complete binary tree. Make this a complete tree by inserting the minimal number of nodes needed. Draw your result.

Insert the following numbers into an empty BST and draw the resulting tree: 67, 30, 12, 37. a) What is the height of the tree? b) Is this a perfect binary tree? c) This is not a complete binary tree. Make this a complete tree by inserting the minimal number of nodes needed. Draw your result.

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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Question

1. Insert the following numbers into an empty BST and draw the resulting tree: 67, 30, 12, 37.
a) What is the height of the tree?
b) Is this a perfect binary tree?
c) This is not a complete binary tree.
Make this a complete tree by inserting the minimal number of nodes needed.
Draw your result.
2. Insert the following numbers into an empty BST and draw the resulting tree.
23, 42, 12, 57, 5, 16, 46, 1.
a) What is the height of the tree?
3. Remove the following numbers from the BST from step 2 using lazy removal: 42, 16, 57.
Draw the resulting tree.
a) What is the height of the tree?
4. Now insert the following numbers into the BST from step 3: 40, 20, 16, 42.
Draw the resulting tree.
a) What is the height of the tree?
5. Write an algorithm (in pseudocode) to calculate the height of a tree (including removed
trees).

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