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

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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PROGRAMMING PROBLEMS
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; ³
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++)
sum = sum + j;
What is the Big O of each loop? Design and implement an experiment to find a value of n for which Loop B is
faster than Loop A.
2. Repeat the previous project, but use the following for Loop B:
// Loop B
for (i = 1; i <= n; i++)
for (j = 1; j<n; j++)
for (k = 1; k <= j; k++)
sum sum + k;
Transcribed Image Text:PROGRAMMING PROBLEMS 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; ³ 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++) sum = sum + j; What is the Big O of each loop? Design and implement an experiment to find a value of n for which Loop B is faster than Loop A. 2. Repeat the previous project, but use the following for Loop B: // Loop B for (i = 1; i <= n; i++) for (j = 1; j<n; j++) for (k = 1; k <= j; k++) sum sum + k;
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