Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 10.4, Problem 1E
Program Plan Intro
To draw the binary tree rooted at index 6 for the given attributes.
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draw a binary tree that generates the given codewords at the terminalvertices101,00,11,011,100,010
Draw a K-d tree for the following points inserted in this order (assume the root is an even level and that we use x coordiantes for the odd levels, y coordiantes for even levels):
(10, 10) (5, 5) (8, 4) (12, 18) (15, 8)
Draw a tree with a depth of 3 and indicate all the nodes as either a parent, child, root, or leaf node(s). (2.)The in-order and pre-order traversals of a binary tree is given as CBEDFHGAJI and HBCDEFAGIJ respectively, draw the binary tree.
Chapter 10 Solutions
Introduction to Algorithms
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3E
Ch. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3P
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- a)Draw a red-black tree for the following values inserted in this order. Illustrate each operation that occurs: 11 20 30 28 16 13 55 52 26 50 87 b) Draw a 2-3-4 B-tree that corresponds to your red-black tree in problem a).arrow_forwardDraw the binary search tree that is created if the following numbers are inserted in the tree in the given order. 8 12 2 29 17 36 13arrow_forwardCreate an ordered, rooted tree that represents the infix form of the following equation. Then write out the prefix form of the equation. ((X*Y) + (Y * ((X+5) * (Y+7))))/3arrow_forward
- Draw a binary search tree by inserting the following numbers and determine the predecessor and successor of 10, 1, and 6. numbers to insert {8,1,5,4,9,10,6,3,15}arrow_forwardDraw the binary search tree that would result if the given elements were added to an empty binary search tree in the given order. Use paint to draw. a. Lisa, Bart, marge, maggie, flanders, smithers, miljouse b. 12,34,1,5,-5,6,19,45,2,-7,47arrow_forwardConstruct a B-Tree of order 1 by inserting the following integers in the given order: 16, 11, 5, 8, 18, 7, 1, 9, 19. Draw state of the B-Tree after inserting each integer.arrow_forward
- Show a binary tree representing (x+xy) + x/y. Write the prefix, postfix, and infix notation. Explain step by steparrow_forwardDraw a red-black tree for the following values inserted in this order. Illustrate each operation that occurs: w k o s y t p rarrow_forwardCreate an ordered, rooted tree that represents the infix form of the following equation. Then write out the prefix and postfix forms of the equation. ((X*Y) + (Y * ((X+5) * (Y+7))))/3arrow_forward
- (1) Create a SINGLE, binary tree using the following three groups of input. After EACH group of input, say whether the tree is full, balanced, and/or complete. PLEASE NOTE you’re only making a SINGLE binary tree in this problem, and answering THREE TIMES. [50,25,30,24,70] [72,71,26,32,22] [56,60,77,54]arrow_forwardImplement a binary tree with the following criteria: - Minimum 5 nodes (including root) - Arbitrary value for each node - At least 1 node has leftChild and rightChild Then print / output the binary tree. Examples of expected output: 10 / \ 6 12 / \ \ 5 8 14arrow_forwardBy looking at the binary tree give the following Pre-order = Inorder = Postorder =arrow_forward
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