Show the 2-3-4 tree after inserting the following keys: 12, 10, 15, 17, 19, 14, 16, 13, 22, 25, and 24. Show the tree after each insertion.
Show the 2-3-4 tree after inserting the following keys: 12, 10, 15, 17, 19, 14, 16,...
Show the red-black tree using top-down insertion of the following keys: 12, 10, 15, 17, 19, 14, 16, and 18. Show the tree after each insertion.
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.
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.
• 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...
Red-Black Tree: Show the sequence of red-black trees that result after successively inserting the keys into an initially empty red-black tree in the order given: K = < 20, 5, 1, 12, 7 >. (Show at least one tree resulting from each insertion). State which case from the textbook (Introduction to Algorithms, 3rd Edition by Thomas H. Cormen et al) applies. Assume that the root is always colored black.)
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,...
Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...
Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...
14 24 18 23 21 18 16 14 23 17 15 13 19 23 24 14 16 26 21 14 15 22 16 12 20 23 19 26 20 25 21 19 21 25 23 25 25 19 20 15 (a) Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26. Class Frequency 12-14 15-17 18-20 21-23 24-26 Total (b) Develop a relative frequency distribution and a percent frequency distribution using the classes in part (a). If...
Consider the following data. 14 21 23 20 16 19 22 26 15 16 23 25 24 20 15 20 19 20 21 13 17 17 18 23 26 21 22 15 20 18 25 24 15 23 25 19 21 24 21 19 (a) Develop a frequency distribution using classes of 12–14, 15–17, 18–20, 21–23, and 24–26. Class Frequency 12–14 15–17 18–20 21–23 24–26 Total (b) Develop a relative frequency distribution and a percent frequency distribution using the classes...