For the AVL Tree insert the value 18. What type of imbalance does it cause? Show the result after the balancing as well as the steps
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For the AVL Tree insert the value 18. What type of imbalance does it cause? Show the result after the balancing as well as the steps.
AVL tree is the self balancing binary search tree (BST) where a difference between the height of the left and right subtree cannot be more than one for all the nodes.
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- Please see attRemove 5 from the following AVL tree; draw the results:Bonus section Given the following sequence of numbers to insert into a tree data structure:8 10 2 4 5 1 6 3 7 9Answer the following questions:1) What will the binary search tree look like after the numbers are inserted in the givenorder?2) From the tree you finished in 1), what will the tree look like each time after thefollowing numbers are deleted (use the delete algorithm discussed in the slideswhere the successor is found in the right child subtree):a. Delete(7)b. Delete(10)c. Delete(2)3) From the tree you finished in 2), what will the preorder and postorder outputtraversals look like?
- Part (a) MST: An MST T with respect to the original weights is still a MST with the new weights (of course the weight of the tree changes but the tree itself is still a MST): True or False? If you said True then give a short explanation why, and if you said False then give a counterexample (you can upload a picture). Note, you cannot assume the MST was constructed using a specific algorithm, but you can assume each edge satisfies the cut property for some cut. Part (b) Shortest paths: The shortest paths with respect to the original weights are still shortest paths with the new weights (of course the weights of the path change but the paths themselves are still shortest paths): True or False? If you said True then give a short explanation why, and if you said False then give a counterexampleAfter the following 3 values: 40, 30, 35 are inserted into an AVL tree, what action is needed to restore the AVL tree? Question 22 options: double rotation, with the right rotation at 30, left rotation at node 40 a single right rotation at node 30 double rotation, with the left rotation at 30, right rotation at node 40 a single left rotation at node 30What is the max and min number of levels of a tree with 129 nodes?