Question

In: Computer Science

You are to draw the AVL trees that result after inserting each of the following keys...

You are to draw the AVL trees that result after inserting each of the following keys in the order given: TCG, TAC, AAC, TGg, TTC, ACC, GGC. You will draw a total of 7 trees, one after each insertion

Solutions

Expert Solution

AVL Tree

Balancing Factor(BF) = Height of Left Subtree - Height of Right Subtree

Step 1: Insert keys TCG

Step 2: Insert keys TAC

Step 3: Insert key AAC         

Tree in Not balanced Perform Single Rotate Right

                  

Step 4: Insert key TGg

Step 5: Insert key TTC              

                          

Tree in Not balanced so Perform Single Rotate Left     

                 

Step 6: Insert key ACC     

Step 7: Insert key GGC     

                            

Tree in Not balanced so Perform Single Rotate Left     

                                   

Which is Required AVL Tree


Related Solutions

1. Show the red-black tree that result after successively inserting the keys 1, 2, 5, 15,...
1. Show the red-black tree that result after successively inserting the keys 1, 2, 5, 15, 4, 7, 8, 14, 11 into an initially empty red-black tree. Show each step whenever you change a node’s color or make a rotation, mark your operations clearly.
Considering the following different search trees, binary search trees, AVL trees, red-black trees, and others. Compare...
Considering the following different search trees, binary search trees, AVL trees, red-black trees, and others. Compare their advantages and disadvantages, running times, etc
AVL trees in Java For a given adjacency matrix of a rooted tree you need to...
AVL trees in Java For a given adjacency matrix of a rooted tree you need to decide whether this tree can be labeled to become an avl tree. Vertices of the tree do not have keys but numbered from 0 to n − 1 in order to write the adjacency matrix. INPUT format: The input consists of blocks. Blocks are written one after another without empty lines between them. Every block starts with a new line and consists of several...
Explain what will happen as a result of the following events. In each case, draw an...
Explain what will happen as a result of the following events. In each case, draw an aggregate demand and short-run aggregate supply diagram showing the initial equilibrium output level (Y0) and price level (P0). Show any changes and indicate the final equilibrium output level and price level. A. The economy is operating near full capacity. Now environmental pollu¬tion standards are tightened substan¬tially. B. The economy is operating near full capacity. An import tax (tariff) is imposed on foreign consumer goods,...
Instructions: Draw an ER diagram for the following description. Identify the keys and give the cardinality...
Instructions: Draw an ER diagram for the following description. Identify the keys and give the cardinality of all relationships (e.g. 1:1, N:1, N: M). Make sure you note your assumptions. Assume you are creating a database for a library system with the following properties: The library contains one or several copies of the same book. Every copy of a book has a copy number and is located at a specific location on a shelf. A copy is identified by the...
Draw parse trees for nine strings in question one, using their grammars. For the following grammars,...
Draw parse trees for nine strings in question one, using their grammars. For the following grammars, write the leftmost derivation for the strings given with each. Next to each derivation step, write the number of the rule used. Do not combine steps.   grammar (3 rules), Σ = {a, b}: S -> aSbS | bSaS | ε strings (3): ab, baab, bbaa grammar (6 rules), Σ = {0, 1}: S -> A1B A -> 0A | ε B -> 0B |...
For the following exercise, draw a Logical Ladder to solve the automation problem. After you press...
For the following exercise, draw a Logical Ladder to solve the automation problem. After you press push button, you want Lights/LEDs behave as follows: a. LED 1 will turn on, and stay on until LED 3 turns on b. LED 2 will turn on only for 5 seconds c. LED 3 will turn on after 8 seconds and stay on only for 1 second.
For each of the following separate parts, you are required to draw a graph. (a) Consider...
For each of the following separate parts, you are required to draw a graph. (a) Consider the market for oil. Suppose the government provides subsidies for companies to use renewable energies. Draw a graph to show how the price elasticity of demand for oil will change. (b) A country produces blueberry pies and pumpkin pies. Suppose a disease occurs, which significantly reduces the farm yield of blueberries. The disease does not affect the production of pumpkins. Draw a graph to...
Draw an E-R diagram for each of the following situations (if you believe that you need...
Draw an E-R diagram for each of the following situations (if you believe that you need to make additional assumptions, clearly state them for each situation): 1. A laboratory has several chemists who work on one or more projects. Chemists also may use certain kinds of equipment on each project. Attributes of CHEMIST include Employee_ID (identifier), Name, and Phone- No. Attributes of PROJECT include ProjecUD (identifier) and Start_Date. Attributes of EQUIPMENT include Serial_No and Cost. The organization wishes to record...
For each of the following separate parts, you are required to draw one or two graphs....
For each of the following separate parts, you are required to draw one or two graphs. (a) Draw two graphs to compare the price elasticity of supply of (i) diamond vs (ii) clothing. (b) A country builds universities and casinos. The country spends all the money to build universities now, show how this current choice affects the future PPF of the country. (c) Consider the market for gasoline. Suppose the price of electric cars decreases, draw a graph to show...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT