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Chapter 21, Problem 17RQE
Program Plan Intro

Binary tree:

  • It is a tree data structure which comes under hierarchical data structure.
  • It is made of nodes that have a left child, right child and a data element.

Nodes in a binary tree:

  • The node which is at the top of a binary tree is called “root node”.
  • The element that has children is known as “parent node”.
  • The element that is under an element is known as “children”.
  • The element or the node that has two children is called “leaves” or “external nodes”.
  • In binary tree, each node should have at most two children.

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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?
Please draw the following:Form a binary tree with the root node holding 20, the left and right child of the node holding 20 respectively holding 75 and 43. The next level nodes hold the data 84, 90, 57 and 71 from left to right. The node holding 84 has left and right children that respectively hold 96 and 91 and the node holding 90 has a left child that holds 93.
1. A Binary Search Tree (BST) is a binary tree where each node contains a value from a well-ordered set. (a) Draw a BST for each of the following set of data: i. 20, 30, 45, 31, 19, 15, 18, 13, 50, 21 i. М, О, R, T, С, F, E, A, S, N, Q
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