4.14 Ch 4 Program: Arabian Legend Students: This content is controlled by your i

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4.14 Ch 4 Program: Arabian Legend

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An old Arabian legend has it that a fabulously wealthy but unthinking king agreed to pay a beggar 1 cent and double the amount everyday for 64 days.

1) Using this information write a C++ program that uses a for loop and displays how much the king must pay the beggar on each day. The output of your program should appear as follows: (3 points)

Attention: If you submit your program to see if you have completed this part before moving onto Part 2, then only pay attention to the first "Compare Output" section. The second, third, and fourth compare outputs are for the second part and rely on user input.

2) Modify the application to prompt the user for the amount the king paid the beggar on Day 1 and the # of Days the King agreed to pay the beggar. The output of your program should appear as follows: (3 points)

Explanation / Answer

// C++ code 1
#include <iostream>
#include <iomanip>
#include <math.h>
using namespace std;

int main()
{
int MAXIMUMDAYS = 64;
int currentDay = 1, millionDay = 0;
double amountOwed = 0.0, finalTotal = 0.0;

cout << "An Old Arabian Legend " << endl << endl;

cout << setw(5) << "Day" << setw(25) << "Amount Owed" << endl;
cout << setw(5) << "---" << setw(25) << "-----------" << endl;

for (currentDay = 1; currentDay <= MAXIMUMDAYS; currentDay++)
{
amountOwed = pow(2.0, currentDay - 1) / 100.0;
cout << setw(5) << currentDay << setw(25) << fixed << setprecision(2) << amountOwed;
finalTotal += amountOwed;
if (finalTotal >= 1000000.0 && !millionDay)
{
millionDay = currentDay;
}
cout << endl;
}

cout << endl;
cout << "The King paid the beggar a total of one million dollars on day "<< millionDay << endl << endl;
cout << "The King paid the beggar a grand sum of $"<< finalTotal << "!" << endl;

return 0;
}

/*
output:

An Old Arabian Legend

Day Amount Owed
--- -----------
1 0.01
2 0.02
3 0.04
4 0.08
5 0.16
6 0.32
7 0.64
8 1.28
9 2.56
10 5.12
11 10.24
12 20.48
13 40.96
14 81.92
15 163.84
16 327.68
17 655.36
18 1310.72
19 2621.44
20 5242.88
21 10485.76
22 20971.52
23 41943.04
24 83886.08
25 167772.16
26 335544.32
27 671088.64
28 1342177.28
29 2684354.56
30 5368709.12
31 10737418.24
32 21474836.48
33 42949672.96
34 85899345.92
35 171798691.84
36 343597383.68
37 687194767.36
38 1374389534.72
39 2748779069.44
40 5497558138.88
41 10995116277.76
42 21990232555.52
43 43980465111.04
44 87960930222.08
45 175921860444.16
46 351843720888.32
47 703687441776.64
48 1407374883553.28
49 2814749767106.56
50 5629499534213.12
51 11258999068426.24
52 22517998136852.48
53 45035996273704.96
54 90071992547409.92
55 180143985094819.84
56 360287970189639.69
57 720575940379279.38
58 1441151880758558.75
59 2882303761517117.50
60 5764607523034235.00
61 11529215046068470.00
62 23058430092136940.00
63 46116860184273880.00
64 92233720368547760.00

The King paid the beggar a total of one million dollars on day 27

The King paid the beggar a grand sum of $184467440737095488.00!
*/

// C++ code 2
#include <iostream>
#include <iomanip>
#include <math.h>
using namespace std;

int main()
{
int currentDay = 1, numberOfdays;
double amountOwed = 0.0, finalTotal = 0.0;

cout << "An Old Arabian Legend " << endl << endl;

double amountDay1;
cout << "Please enter the amount the King paid on Day 1: ";
cin >> amountDay1;
cout << "Please enter the number of days the King was required to pay the beggar: ";
cin >> numberOfdays;

cout << setw(5) << "Day" << setw(25) << "Amount Owed" << endl;
cout << setw(5) << "---" << setw(25) << "-----------" << endl;

for (currentDay = 1; currentDay <= numberOfdays; currentDay++)
{
amountOwed = pow(2.0, currentDay - 1)*amountDay1;
cout << setw(5) << currentDay << setw(25) << fixed << setprecision(2) << amountOwed;
  
cout << endl;
}

return 0;
}

/*
output:

An Old Arabian Legend

Please enter the amount the King paid on Day 1: 0.05
Please enter the number of days the King was required to pay the beggar: 5
Day Amount Owed
--- -----------
1 0.05
2 0.10
3 0.20
4 0.40
5 0.80

*/

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