ZuoTi.Pro
Question

11. In the 2-3 tree given below (i.e., NOT a 2-3-4 tree), execute insert(28), insert(99), and insert(58), in that order, making sure to rebalance after each insertion. Draw the resulting 2-3 tree after executing these operations. 45 20 70 30 60 80 90 2(4(10 11) (25) (40) (50 55) (65) (71 75)(85) (92 96

engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The given 2-3 tree is as shown below: 45 20 70 30 60 80 90 4 10 11 25 4050 5565 71 758592 96

Insert 28: As 28 is less than 45 and> 20 and 30, it will be inserted in the node in which 25 is present. After inserting 28,Insert 99: As 99> 45 and> 70 and>90, it will be inserted in the node in which 92 96 are present. After inserting 99, followin

To balance the tree, move the data 96 to its parent node. Following is the resultant tree. Still the tree is unbalanced. 45 2

tree 1s balanced 45 20 70 90 30 60 80 96 4 10 11 (25 28450 5565) (71 7585) ( 92 99Insert 58: As 58 > 45 and < 70 and <60, it will be inserted in the node in which 50 55 are present. After inserting 58, follo

To balance the tree, move the data 55 to its parent node. Following is the resultant tree. The tree is balanced. 45 20 70 90Following is the resulting 2-3 tree after executing the given operations: 45 20 70 90 30 55 60 80 96 10 112528(40 6571 5 8592

0 0
Add a comment
Know the answer?
Add Answer to:
11. In the 2-3 tree given below (i.e., NOT a 2-3-4 tree), execute insert(28), insert(99), and...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Consider the below matrixA, which you can copy and paste directly into Matlab.

    Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...

  • 6. For the B+-tree where M=3 and L=5 shown below, show how an insert of value...

    6. For the B+-tree where M=3 and L=5 shown below, show how an insert of value 80 is handled. || 12 || 50 || / | \ / | \ 2 12 50 5 18 65 7 20 70 9 21 72 10 24 78 10 points 7. For the B+-tree where M=3 and L=5 shown below, show how an insert of value 28 is handled. || 24 || 75 || / | \ / | \ / | \...

  • 1- Insert in the given order the following values into an intially empty 2-3-4 tree: 100,...

    1- Insert in the given order the following values into an intially empty 2-3-4 tree: 100, 200, 300, 400, 500, 600, 700, 110, 120, 130, 800, 750, 690. Show how the tree evolves after each value is inserted. In other words, draw a picture of the tree after each insertion. 2- Insert the same sequence as above into an initially empty red-black tree. Again draw a picture of the tree after each insertion, and indicate which rotations and/or color flips...

  • Problems #3 thru #5 refer to the following b-tree. Note that problems #4 and #5 are...

    Problems #3 thru #5 refer to the following b-tree. Note that problems #4 and #5 are continuations of their previous problems. Original for 60 #3-5: 20,40 70 90 62 65 75 80 92 95 97 5 10 15 25 30 45 50 55 #3 Show the b-tree resulting by deleting 90. #4 Continuing from #3, show the b-tree resulting by deleting 25. Only attempt to borrow from an adjacent sibling. If possible, use the sibling that is immediately to its...

  • Data Structure!!!!!!!!!! For the B+-tree where M=3 and L=5 shown below, show how an insert of...

    Data Structure!!!!!!!!!! For the B+-tree where M=3 and L=5 shown below, show how an insert of value 77 is handled. Use the method of splitting the node rather than redistributing between siblings. || 24 || 75 || / | \ / | \ / | \ || 10 || 16 || || 41 || 50 || || 84 || 90 || | / \ / | \ | \ \ / | | | | \ | | | 2...

  • For the B+-tree where M=3 and L=5 shown below, show how an insert of value 77...

    For the B+-tree where M=3 and L=5 shown below, show how an insert of value 77 is handled. Use the method of splitting the node rather than redistributing between siblings. || 24 || 75 || / | \ / | \ / | \ || 10 || 16 || || 41 || 50 || || 84 || 90 || | / \ / | \ | \ \ / | | | | \ | | | 2 10 16...

  • A math test was given to five randomly selected schools. The result of the exams is...

    A math test was given to five randomly selected schools. The result of the exams is given in the following table. School 1: 72 83 92 97 82 75 68 93 School 2: 75 81 95 92 88 70 70 90 97 84 76 School 3: 82 73 99 90 66 77 School 4: 71 85 91 95 89 73 70 96 92 83 71 58 63 89 School 5: 82 85 79 90 86 77 71 86 90 73...

  • 1. Forecast demand for Year 4. a. Explain what technique you utilized to forecast your demand....

    1. Forecast demand for Year 4. a. Explain what technique you utilized to forecast your demand. b. Explain why you chose this technique over others. Year 3 Year 1 Year 2 Actual Actual Actual Forecast Forecast Forecast Demand Demand Demand Week 1 52 57 63 55 66 77 Week 2 49 58 68 69 75 65 Week 3 47 50 58 65 80 74 Week 4 60 53 58 55 78 67 57 Week 5 49 57 64 76 77...

  • Write a python nested for loop that prints out the following pattern 100 99 98 97...

    Write a python nested for loop that prints out the following pattern 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33...

  • RANGES FREQUENCY RELATIVE FREQUENCY CUMULATIVE REL. FREQ. 1 - 10 11 - 20 21 - 30 31 - 40...

    RANGES FREQUENCY RELATIVE FREQUENCY CUMULATIVE REL. FREQ. 1 - 10 11 - 20 21 - 30 31 - 40 41 - 50 51 - 60 61 - 70 71 - 80 81 - 90 91 - 100 '= 100 DATA VALUES?? SO, WHAT DOES A FREQUENCY TABLE TELL US? If you wrote each of the above data values on a ping pong ball,, put them in a jar and blindly pulled one out: What is the probability that this ball...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT