For the following programming problems, you need to time a section of code in C++. For example, the following statements time the execution of the function doSomething:   #include clock_t start = clock(); doSomething(); clock_t finish = clock(); double overallTime = static_cast(finish - start)/ CLOCKS_PER_SEC; unsigned long long int sum;   Consider the following two loops: //Loop A for(i = 1; i <= n; i++)    for(j = 1; j <= 10000; j++)     sum = sum + j;   //Loop B for(i = 1; i <= n; i++)    for(j = 1; j <= n; j++)        for(k = 1; k <= j; k++ )            sum = sum + k; What is the Big O of this loop? Design and implement an experiment to find a value of n for which Loop B is faster than Loop A.

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
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For the following programming problems, you need to time a section of code in C++. For example, the following statements time the execution of the function doSomething:

 

#include <ctime>

clock_t start = clock();

doSomething();

clock_t finish = clock();

double overallTime = static_cast<double>(finish - start)/ CLOCKS_PER_SEC;

unsigned long long int sum;

 

  1. Consider the following two loops:

//Loop A

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

   for(j = 1; j <= 10000; j++)

    sum = sum + j;

 

//Loop B

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

   for(j = 1; j <= n; j++)

       for(k = 1; k <= j; k++ )

           sum = sum + k;

What is the Big O of this loop? Design and implement an experiment to find a value of n for which Loop B is faster than Loop A.

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