ZuoTi.Pro
Question

Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an AVL...

Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an AVL tree. Make sure to show each rotation. Note: There are no double rotations in this sequence.

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

Homework Answers

Answer #1


1.     (3)

2.    (3)
    /
(1)

3.    (3)
     / \
   (1) (4)

   4.     (3)
    /   \
       (1) (6)
         / \
       (4) (9)


   

5.      (4)
      / \
        (2) (6)
      / \    / \
   (1) (3) (5) (9)

6.        (4)
      / \
        (2) (6)
    / \    / \
(1) (3) (5) (9)
                    \
                    (7)


2 0
Add a comment
Know the answer?
Add Answer to:
Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an AVL...
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

  • • P1 (10 pts) Show the result of inserting 2, 9, 5, 8, 6, 4, 3,...

    • P1 (10 pts) Show the result of inserting 2, 9, 5, 8, 6, 4, 3, 1 into an initially empty AVL tree (draw a resulting tree after inserting each number; you need to draw 8 AVL trees). • P2 (5 pts) What is the minimum number of nodes in an AVL tree of height 8? • P3 (5 pts) Show the result of deleting the element with key 9' from the following splay tree. • P4 (5 pts) Show...

  • Show the result of inserting the following sequence of keys into an initally empty AVL tree:...

    Show the result of inserting the following sequence of keys into an initally empty AVL tree: 15, 10, 11, 16, 12, 30, 18, 20, 19, 17.

  • 6. Draw a diagram of the double RL-rotation in its general form. A partial solution is...

    6. Draw a diagram of the double RL-rotation in its general form. A partial solution is given. Fill in the missing parts inside the box. (pt) For the following list of numbers, construct an AVI tree by inserting their elements successively, starting with the empty tree. 1.2.3.4.5.6. The insertions of the first 4 numbers are given. Draw diagrams to show the rest of the process. Note that you need to indicate the balance factor of each node, diagrams before and...

  • Draw an AVL tree (initially empty) at each step when inserting the following numbers in order:...

    Draw an AVL tree (initially empty) at each step when inserting the following numbers in order: 1; 2; 5; 4; 6; 3; 10; 9; 7; 8 Now, draw the above AVL tree at each step when deleting the following numbers in order (assuming that the substitution on deleting a node is done by replacing it with the minimum in the right subtree): 4; 5; 6

  • Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of...

    Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of height h is 2h+1 − 1. 2. A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree. 3. What is the minimum number of nodes in an AVL tree of height 15? 4. Show the result of inserting 14, 12, 18, 20, 27, 16,...

  • Please show rotation and balancing factors 1) Insert 13,10,15,5,11,16,4,6,7 in an AVL Tree 2) Insert 43,18,22,9,21,6,8...

    Please show rotation and balancing factors 1) Insert 13,10,15,5,11,16,4,6,7 in an AVL Tree 2) Insert 43,18,22,9,21,6,8 in an AVL Tree 3) Insert 14, 4, 21, 3, 9, 15, 28, 2, 7, 10, 18, 26, 35 in an AVL Tree. Also, Remove 2, 3, 10, 18 from the AVL Tree.

  • Build a splay tree inserting keys: 2, 13, 17, 4, 7, 19, 5, 8, 22, 6,...

    Build a splay tree inserting keys: 2, 13, 17, 4, 7, 19, 5, 8, 22, 6, 10. Show each step! a. Show the result of accessing keys 5, 8, 7 in order in the splay tree. Show the tree after each access. b. Show the result of deleting keys 10, 8, 7 in the splay tree. Start with the original tree and show the tree after each deletion.

  • Name (print): Instruction: Answer all the questions. 1. Show the result of inserting 4,2, 5, 7,...

    Name (print): Instruction: Answer all the questions. 1. Show the result of inserting 4,2, 5, 7, 10, 3,6, 8 into an initially empty binary search step by step illustration when each number is inserted, starting from 4. [5 points) tree. Show a 2. Show the result of deleting the root. [2 points] Spring 2019 CS 291 Computer Science II 3. Give the prefix, infix, and postfix expressions corresponding to the tree below: 13 points] Prefix expression: Infix expression:

  • True or false? (a) An insertion in an AVL tree with n nodes requires Θ (log(n))...

    True or false? (a) An insertion in an AVL tree with n nodes requires Θ (log(n)) rotations. (b) A set of numbers are inserted into an empty BST in sorted order and inserted into an empty AVL tree in random order. Listing all elements in sorted order from the BST is O (n), while listing them in sorted order from the AVL tree is O (log(n)). (c) If items are inserted into an empty BST in sorted order, then the...

  • Consider the AVL Tree built by inserting the following sequence of integers, one at a time:...

    Consider the AVL Tree built by inserting the following sequence of integers, one at a time: 5, 2, 8, 7,9 Then we insert 11. After we insert 11, before we perform any necessary rotations, is the tree balanced? And if not, which is the root of the lowest imbalanced subtree? (a) None, since the tree is already balanced after inserting 11. (b) The node containing 5. (c) The node containing 8. (d) The node containing 11. (e) The node containing...

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