For each of the following three program fragments: a. Give an analysis of the running time (Big-Oh will do). b. Implement the code in the language of your choice, and give the running time for several values of N (100, 500, 1000, 5000). c. Compare your analysis with the actual running times.   (1)     sum = 0;          for( i = 0; i < n; ++i )++sum; (2)     sum = 0;          for( i = 0; i < n; ++i )                   for( j = 0; j < n * n; ++j )                            ++sum; (3)     sum = 0;          for( i = 0; i < n; ++i )                   for( j = 0; j < i * i; ++j )                            for( k = 0; k < j; ++k )                                     ++sum;

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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For each of the following three program fragments:
a. Give an analysis of the running time (Big-Oh will do).
b. Implement the code in the language of your choice, and give the running time for several values of N (100, 500, 1000, 5000).
c. Compare your analysis with the actual running times.

 

(1)     sum = 0;
         for( i = 0; i < n; ++i )++sum;

(2)     sum = 0;
         for( i = 0; i < n; ++i )

                  for( j = 0; j < n * n; ++j )
                           ++sum;

(3)     sum = 0;
         for( i = 0; i < n; ++i )
                  for( j = 0; j < i * i; ++j )
                           for( k = 0; k < j; ++k )
                                    ++sum;

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