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 12.1, Problem 1E
Program Plan Intro
To draw the binary search tree of heights 2, 3, 4, 5 and 6 respectively for the set of
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For the set of numbers {14, 7, 12, 20, 2, 18, 17, 10, 3, 5, 16, 19, 8}
3. Generate pseudocode for a function that will find the maximum value in the tree, in the mostefficient manner (i.e. not linear search)
Draw a binary search tree for the following numbers as elements: 60, 75, 43, 65, 16, 53, 25,46, 63, 62, 55, 42, 70, 64.
Construct a complete binary tree from the array: [ 0, 4, 3, 2, 1, 8, 7, 6, 5, 10, 9]
Chapter 12 Solutions
Introduction to Algorithms
Ch. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5E
Ch. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Prob. 6ECh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4P
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- Insert, into an empty binary search tree, entries with keys 70, 12, 30, 24, 58, 48, 26, 13, 55 (in this order). Draw the tree after each insertionarrow_forwardConsider the following list of numbers. 124, 688, 121, 511, 605, 55, 45 The height of a binary search tree is the maximum number of edges you have to go through to reach the bottom of the tree, starting at the root. What is the height of the tree for the numbers above, in the order given?arrow_forwardDraw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60, 90, 16} Convert Binary Search Tree into Binary Tree such that sum of all greater keys is added to every key.arrow_forward
- Consider the binary search tree below. The pre-order traversal of the tree is: 8 3 (10 (14) 4 (13 O 1 3 4 6 7 10 14 13 O 1 4 6 3 7 10 14 13 O 8 3 1 6 47 10 14 13 O 10 3 4 6 7 1 13 14arrow_forwardDraw 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_forwarda. Given the definition of a binary tree, Insert, into an empty binary search tree, entries with keys {55, 34, 19, 78, 65, 8, 22, 97, 53, 26,76, 39, 93, 69, 11 ,83,2,35,70,77} (in this order). Draw the tree after each insertionarrow_forward
- Draw out a Binary Search Tree of the following nodes if they are inserted in this order. Start with 44 as the root: 44, 17, 88, 8, 32, 65, 28, 21, 29, 54, 97, 82, 76, 93, 80arrow_forwardDraw the binary search tree if the pre-order and in-order traversals of that binary search tree are given as below: Pre-order traversal: 7, 4, 2, 3, 6, 5, 12, 9, 8, 11, 19, 15, 20 In-order traversal: 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 19, 20arrow_forwardGiven the following binary search tree, what would be the sequence of nodes, if traversed using inorder traversal after deleting 8. Image 2.png 3 1 4 6 7 13 14 10 1 3 4 6 7 10 13 14 3 1 6 4 7 10 14 13 1 4 6 3 13 14 10 7arrow_forward
- i. ii. Using an array-based representation of a binary tree, the following array represents a binary tree. 0 1 2 3 59 39 75 4 48 5 6 70 80 111. Draw the binary tree that is represented by the above array. 7 8 9 10 11 12 13 14 44 68 90 What is the postorder traversal of the binary tree that is created in (i). What is the parent of 72?arrow_forwardInsert the following set of keys {1, 4, 3, 5, 8, 9, 0, 7, 2, 6} in an empty binary search tree in the order they are listed.arrow_forward3. What can be the maximum height of a binary tree of size n?arrow_forward
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