ist Of Integer: X(Integer: number)      List Of Integer: Y      Integer: i = 2      While (i < number) While (number Mod i == 0)                                       Y.Add(i) number = number / i End While i = i + 1 End While If (number > 1) Then Y.Add(number)      Return Y End X

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
Problem 1PE
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a)      Consider this Algorithm-Z , Taking list of integer as input

List Of Integer: X(Integer: number)

     List Of Integer: Y

     Integer: i = 2

     While (i < number)

While (number Mod i == 0)

                                      Y.Add(i)

number = number / i

End While

i = i + 1

End While

If (number > 1) Then Y.Add(number)

     Return Y

End X

(i)                 Explain what Algorithm Z is doing?

(ii)               Analyze the complexity of Algo-Z and then write an algorithm Better-Algo-X that does exactly the same thing but with a strictly better time complexity

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