sentences define how time-complexity is calculated

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
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  1. Which of the following sentences define how time-complexity is calculated

       

    Time complexity is equal to input size

       

    Time complexity is equal to amount of memory needed to store the program

       

    Time complexity is equal to number of statements in the algorithm

       

    Time complexity is equal to number of operations performed by the algorithm on a given input size

Expert Solution
Step 1

Complexity of an algorithm:-

It is convenient to classify an algorithm based on the amount of time or amount of space they require respectively and specify(mention) the growth of time or the growth of  space requirements as a function of the input size.

Now , it's of two types

  • Space complexity- amount of memory needed to run for an algorithm
  • Time complexity- amount of computer time needed to run an algorithm to completion.

Discussing Time complexity ,we know it is sum of compile time and run time.Program compiled once can be executed many times , and doesn't need recompilation.

 

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