Question

Objectives: (You must use loop structures to get credit for this assignment) Students in Norfolk Gardens Academy are very excited about the end of year school party. Victoria is playing piano. She is practicing for the end of the school year party every day for a certain amount of time depending on her schedule. It takes her N minutes to practice the first song, and each of following songs takes M minutes longer than the previous song. She has T minutes to practice for all the songs. For example, if the first song takes N = 15 minutes and M = 10, then the second song will take 25 minutes, the third song will take 35 minutes, and so on. If she has 150 minutes to practice the songs, then she can practice four songs because 15 + 25 + 35 + 45 = 120. Design an algorithm and write a C++ program that prompts the user to enter the values of N, M, and T, and outputs the number of songs Victoria can practice. Sample Run 1: Enter the number of minutes to practice first song: -5 Enter the number of minutes to practice first song: 5 Enter how many more minutes to practice the next song: 10 Enter the total time (in minutes) to practice all the songs: 90 In 90 minutes Victoria can practice 4 songs. Sample Run 2: Enter the number of minutes to practice first song: 10 Enter how many more minutes to practice the next song: -5 Enter how many more minutes to practice the next song: 5 Enter the total time (in minutes) to practice all the songs: 100 In 100 minutes Victoria can practice 5 songs, Sample Run 3: Enter the number of minutes to practice first song: 12 Enter how many more minutes to practice the next song: 4 Enter the total time (in minutes) to practice all the songs: 150 In 150 minutes Victoria can practice 6 songs.

Answer 1

CODE IN C++ :

#include<iostream>
using namespace std;

int main()
{
int first_song;
cout << "Enter the number of minutes to practice first song : ";
cin >> first_song; // time taken by first song
while(first_song < 0) // input until valid time is not taken
{
cout << "Enter the number of minutes to practice first song : ";
cin >> first_song;
}
int count = 0; // total songs that can be praciced
int next_song; // time taken by next song
cout << "Enter how many more minutes to practice the next song : ";
cin >> next_song;
while(next_song < 0) // input until valid time is not taken
{
cout << "Enter the number of minutes to practice the next song : ";
cin >> next_song;
}
int total; // Total time Victoria has to practice
cout << "Enter the total time (in minutes) to practice all the songs : ";
cin >> total;
while(total < 0) // Input until valid time is not taken
{
cout << "Enter the total time (in minutes) to practice all the songs : ";
cin >> total;
}
int time = first_song; // stores how much time each song will take
int sum = time; // stores the total time taken till now
while(sum <= total)
{
count++;
time += next_song;
sum += time;
}
cout << "In " << total << " minutes Victoria can practice " << count << " songs." << endl;

}

OUTPUT SNIPPET :

: 90 Enter the number of minutes to practice first song : -5 Enter the number of minutes to practice first song : 5 Enter how many more minutes to practice the next song : 10 Enter the total time (in minutes) to practice all the songs In 90 minutes Victoria can practice 4 songs. Process returned o (@x0) execution time : 4.324 s Press any key to continue.

: 109 Enter the number of minutes to practice first song : 10 Enter how many more minutes to practice the next song : -5 Enter the number of minutes to practice the next song : 5 Enter the total time (in minutes) to practice all the songs In 100 minutes Victoria can practice 5 songs. Process returned 0 (0x0) execution time : 7.590 s Press any key to continue.

Enter the number of minutes to practice first song : 12 Enter how many more minutes to practice the next song : 4 Enter the total time (in minutes) to practice all the songs : 150 In 150 minutes Victoria can practice 6 songs. Process returned (@x0 execution time : 4.041 S Press any key to continue.

• Comments added for better understanding
• Output snippet for all three sample cases attached.

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