Bst created in pre- order, inorder and post order, Data Structure & Algorithms

Assignment Help:

Q. Make a BST for the given sequence of numbers.

45,32,90,34,68,72,15,24,30,66,11,50,10 Traverse the BST formed in  Pre- order, Inorder and Postorder.                                                                                                             

Ans:

The property which makes a binary tree into a binary search tree is that for each and every node, X, in the tree, values of all the keys in the left subtree are smaller than the key value in X, and values of all the keys in the right subtree are greater than the key value in X.

The Binary Search Tree for given data 45, 32, 90, 34, 68, 72, 15, 24, 30, 66, 11,

50, 10 is as follows:

 

1714_BST.png

The traversals for the tree shown above is as follows: - Pre-order traversal is- 45 , 32, 15, 11, 10, 24, 30, 34, 90, 68, 66, 50, 72

Inorder traversal given as follows:-

10, 11, 15, 24, 30, 32, 34, 45, 50, 66, 68, 72, 90

Postorder traversal is given as follows:-

10, 11, 30, 24, 15, 34, 32, 50, 66, 72, 68, 90, 45


Related Discussions:- Bst created in pre- order, inorder and post order

Pseudo code, since the gregorian calendar was introduced in 1752,a leap yea...

since the gregorian calendar was introduced in 1752,a leap year occurs every 4 years.you are to write a pseudo code to find out whether a year is a leap year.your progrm should dis

What is assertions and abstract data types, Assertions and Abstract Data Ty...

Assertions and Abstract Data Types Even though we have defined assertions in terms of programs, notion can be extended to abstract data types (which are mathematical entities).

Binary search tree in ascending order, In order to get the contents of a Bi...

In order to get the contents of a Binary search tree in ascending order, one has to traverse it in In-order

linear-expected-time algorithm, Implement a linear-expected-time algorithm...

Implement a linear-expected-time algorithm for selecting the k th smallest element Algorithm description 1. If |S| = 1, then k = 1 and return the element in S as the an

Darw a flowchart to inputs top speeds of 5000 cars, Write an algorithm in t...

Write an algorithm in the form of a flowchart that: inputs top speeds (in km/hr.) of 5000 cars Outputs fastest speed and the slowest speed Outputs average (mean) s

Linear node is given by means of pointer, A linear collection of data eleme...

A linear collection of data elements where the linear node is given by means of pointer is known as Linked list

Complexity of an algorithm, compare two functions n and 2n for various valu...

compare two functions n and 2n for various values of n. determine when second becomes larger than first

Explain the bubble sort algorithm, Explain the bubble sort algorithm. ...

Explain the bubble sort algorithm. Answer This algorithm is used for sorting a list. It makes use of a temporary variable for swapping. It compares two numbers at an insta

Circular doubly link list, what is circular doubly link list?write down the...

what is circular doubly link list?write down the algorithm for insertion of elements in circular doubly link list

Data searching, In file access: what is the difference between serial, seq...

In file access: what is the difference between serial, sequential and indexed sequential searching

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd