NOTE: In all what follows, DOB refers to your day of birth and MOB would be the month of your birth. If you are born on 9/28/1990. DOB = 28 and MOB = 9 Problem 1 Draw the following binary tree. Where only the key is shown (disregard 2xDOB or 3xMOB if it is same as one of the numbers): 35, 20, 23, 15, 40, 38, 2xDOB, 45, 33, 48, 3xMOB, 13, 46, 17, 39, 16, 21 1- Is the tree balanced? 2-Show the inOder, pre-Order and post-Order traversal of the tree. 3-delete node 20 using the largest on the left. If you are given a reference to node 20, what would be the java code to perform the deletion? 4- delete 2xDOB using the smallest on the right. If you are given a reference to node 2xDOB, what would be the java code to perform the deletion?

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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Java programming

Computer science

I need help with problem 1

My DOB is 15

my MOB is 7 

Please please help me

I'm desperate for your help, please?

I really need this, please. I don't understand it that much

### Educational Website Content

---

### Binary Trees and Heaps: Problems and Exercises

**Note:** In all what follows, DOB refers to your day of birth and MOB would be the month of your birth. For example, if you are born on 9/28/1990, then DOB = 28 and MOB = 9.

#### Problem 1

Draw the following binary tree. Only keys are shown in the list below; disregard 2xDOB or 3xMOB if it is the same as one of the numbers:

35, 20, 23, 15, 40, 38, 2xDOB, 45, 33, 48, 3xMOB, 13, 46, 17, 39, 16, 21

1. **Is the tree balanced?**
2. Show the **in-order**, **pre-order**, and **post-order** traversal of the tree.
3. **Delete node 20** using the largest on the left. If you are given a reference to node 20, what would be the Java code to perform the deletion?
4. **Delete 2xDOB** using the smallest on the right. If you are given a reference to node 2xDOB, what would be the Java code to perform the deletion?

#### Problem 2

Assume that you are implementing a heap using a **fixed size array**.

1. Illustrate how the following heap would be constructed (show the content of the array, show in detail only what happens when nodes DOB and 17 are added). The nodes are inserted in the following order (key, value): 
   - (9, -4)
   - (3, -6)
   - (11, -4)
   - (13, -7)
   - (DOB, -2)
   - (12, -8)
   - (3xMOB, -5)
   - (17, -7)
   - (6, -3)
2. Illustrate what happens to the heap when invoking remove (show the details).
3. Assume that you have an array of integers, write code that would allow you to sort the array in ascending order (smallest to largest), using only a heap.

#### Problem 3

Consider that you have a graph with 8 vertices numbered A to H, and the following edges: (A, B),
Transcribed Image Text:### Educational Website Content --- ### Binary Trees and Heaps: Problems and Exercises **Note:** In all what follows, DOB refers to your day of birth and MOB would be the month of your birth. For example, if you are born on 9/28/1990, then DOB = 28 and MOB = 9. #### Problem 1 Draw the following binary tree. Only keys are shown in the list below; disregard 2xDOB or 3xMOB if it is the same as one of the numbers: 35, 20, 23, 15, 40, 38, 2xDOB, 45, 33, 48, 3xMOB, 13, 46, 17, 39, 16, 21 1. **Is the tree balanced?** 2. Show the **in-order**, **pre-order**, and **post-order** traversal of the tree. 3. **Delete node 20** using the largest on the left. If you are given a reference to node 20, what would be the Java code to perform the deletion? 4. **Delete 2xDOB** using the smallest on the right. If you are given a reference to node 2xDOB, what would be the Java code to perform the deletion? #### Problem 2 Assume that you are implementing a heap using a **fixed size array**. 1. Illustrate how the following heap would be constructed (show the content of the array, show in detail only what happens when nodes DOB and 17 are added). The nodes are inserted in the following order (key, value): - (9, -4) - (3, -6) - (11, -4) - (13, -7) - (DOB, -2) - (12, -8) - (3xMOB, -5) - (17, -7) - (6, -3) 2. Illustrate what happens to the heap when invoking remove (show the details). 3. Assume that you have an array of integers, write code that would allow you to sort the array in ascending order (smallest to largest), using only a heap. #### Problem 3 Consider that you have a graph with 8 vertices numbered A to H, and the following edges: (A, B),
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