ems are inserted sequentially into an initially empty BST, the newly created BST will be a balanced BST. a) Design the algorithm (in pseudo code) and analyse your algorithm. b) Write a Python function/method to implement your algorithm. c) Write a program that calls the above function, thereby demonstrating your algorithm by (i). Print the re-arranged data items (i.e., a new sequence) generated by the algorithm, and (ii). Build a BST using the newly generated data sequence as input (that is, insert the data items, oneby-one, into an initially empty BST). Print the tree shape of the BST. (Note:

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Given a sequence of integers, e.g., \[ 9,-1,45,6,8,21,34,5,55,65,543,18,90,122,132,0,66,100,-12,17 \] design an algorithm/method to re-arrange the order of the data items (i.e., form a new sequence of the integers) so that when the data items are inserted sequentially into an initially empty BST, the newly created BST will be a balanced BST. a) Design the algorithm (in pseudo code) and analyse your algorithm.

b) Write a Python function/method to implement your algorithm.

c) Write a program that calls the above function, thereby demonstrating your algorithm by

(i). Print the re-arranged data items (i.e., a new sequence) generated by the algorithm, and

(ii). Build a BST using the newly generated data sequence as input (that is, insert the data items, oneby-one, into an initially empty BST). Print the tree shape of the BST. (Note: The program should use at least two datasets to demonstrate the algorithm, one of which is the dataset given above).

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