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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Insert 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.
Draw a binary search tree for the Pre-order traversal of sequence 10, 4, 2, 1, 6, 5, 7, 17, 13, 16, 20, 29, 25, 31, 30
Consider 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?
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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- 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.arrow_forwardDraw the binary search tree if the in-order traversal of that binary search tree are given as below: In-order traversal: 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 19, 20arrow_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
- 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 a binary search tree for the folowing data elements :13,15,59,9,42,44,100,10,5.arrow_forwardProblem 1: Insert the following set of keys {1, 7, 6, 8, 0, 5, 2, 12, 3, 18} in an empty binary search tree in the order they are listed.arrow_forward
- Consider an input: 7, 5, 12, 9, 10, 6, 3, 15, 13, 4, 17, 1, 8 Create a Binary Search Tree (Read the input from left to right) Write in-order traversal of the tree Delete node 12 and redraw the treearrow_forwardDraw a tree for the following using the Breadth-First Search 55, 22, 70, 5, 32, 60, 80, 1, 7, 28, 40, 57, 65, 75, 100arrow_forwardDraw a binary search tree for the following data elements: 13, 15, 59, 9, 42, 44, 100, 10, 5.arrow_forward
- build a binary search tree from the following numbers ( 1, 20, 14, 18, 7, 4, 9, 3, 5, 8, 25) then show the tree after deleting 8. Basic insertion and deletion, not self-balancingarrow_forwardDraw the binary search tree if the pre-order and in-order traversals of that binary search tree are given as below: A) Pre-order traversal: 7, 4, 2, 3, 6, 5, 12, 9, 8, 11, 19, 15, 20 B) In-order traversal: 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 19, 20arrow_forwardGiven a binary tree, design an algorithm which creates a linked list of all the nodesat each depth (e.g., if you have a tree with depth D, you'll have D linked lists).arrow_forward
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