Hello I was wondering if anyone could help me with this programming assignment i

Question

Hello I was wondering if anyone could help me with this programming assignment in C++. Thanks in advance! : Our current calendar system is based upon the Gregorian calendar, which took effect in 1583. Calculating the date of Easter each year is a difficult exercise. In 1876, the following algorithm for calculating the date of Easter was proposed. Samuel Butcher, the Bishop of Meade, later demonstrated that this algorithm is accurate.

a = year % 19

b = year / 100

c = year % 100

d = b / 4

e = b % 4

f = (b + 8) / 25

g = (b - f + 1) / 3

h = ((19 * a) + b - d - g + 15) % 30

i = c / 4

j = c % 4

k = (32 + (2 * e) + (2 * i) - h - j) % 7

m = (a + (11 * h) + (22 * k) ) / 451

Easter Month = ( h + k - (7 * m) + 114 ) / 31 // where 3 means the month of March and 4 means April p = ( h + k - (7 * m) + 114 ) % 31

Easter Date = p + 1

In the above calculations, "/" is the integer-division operator, which returns the integer result of the division operation (quotient); "%" is the modulus operator, which returns the integer remainder. Both operands passed to the integer-division and the modulus operators must be integers. Here's an example:

9 5 = 1

9 % 5 = 4

The order of operations (or operator precedence) is a set of rules defining which operations to perform first when evaluating a given mathematical expression. For example, the rules of operator precedence dictate that the multiplication operator ("*") is evaluated before the addition operator ("+"). Parentheses inserted into an expression can override the natural order of precedence. Write a C++ program that prompts for the year and then calculates the date of Easter. A sample program dialog is shown below. What's the year:

2006 Easter Month is April

Easter Day is 16

What's the year:

2005 Easter Month is March

Easter Day is 27

What's the year: 2004

Easter Month is April

Easter Day is 11

HINT: You might try building these calculations inside MS Excel and then do them step-by-step verifying the values calculated in your program against your spreadsheet answers.

Explanation / Answer

#include <iostream>

using namespace std;

string get_month_name( int index )
{
switch (index)
{
case 1:
return "January";
case 2:
return "February";
case 3:
return "March";
case 4:
return "April";
case 5:
return "May";
case 6:
return "June";
case 7:
return "July";
case 8:
return "August";
case 9:
return "September";
case 10:
return "October";
case 11:
return "November";
case 12:
return "December";

}
}

int main()
{
int year;
cout << "What's the year: " ;
cin >> year;

int a = year % 19;
int b = year / 100;
int c = year % 100;
int d = b / 4;
int e = b % 4;
int f = (b + 8) / 25;
int g = (b - f + 1) / 3;
int h = ((19 * a) + b - d - g + 15) % 30;
int i = c / 4;
int j = c % 4;
int k = (32 + (2 * e) + (2 * i) - h - j) % 7;
int m = (a + (11 * h) + (22 * k) ) / 451;
int easter_month = ( h + k - (7 * m) + 114 ) / 31; // where 3 means the month of March and 4 means April
int p = ( h + k - (7 * m) + 114 ) % 31;
int easter_date = p + 1;

cout << "Easter Month is " << get_month_name(easter_month) << endl;
cout << "Easter Day is " << easter_date << endl;
return 0;
}

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