AP Java Assignment 2

Background:

A convenient algorithm for determining the date of Easter in a given year was devised in 1876 and first appeared in Butcher's Ecclesiastical Handbook. This algorithm holds for any year in the Gregorian calendar, which means years including and after 1583. Subject to minor adaptations, the algorithm is as follows:

• Let y be the year (such as 1583 or 2003).
• Divide y by 19 and call the remainder a. Ignore the quotient.
• Divide y by 100 and get a quotient b and a remainder c.
• Divide b by 4 and get a quotient d and a remainder e.
• Divide b + 8 by 25 and get a quotient f. Ignore the remainder.
• Divide b - f + 1 by 3 and get a quotient g. Ignore the remainder.
• Divide 19 * a + b - d - g + 15 by 30 and get a remainder h. Ignore the quotient.
• Divide c by 4 and get a quotient i and a remainder k.
• Divide 32 + 2 * e + 2 * i - h - k by 7 and get a remainder r. Ignore the quotient.
• Divide a + 11 * h + 22 * r by 451 and get a quotient m. Ignore the remainder.
• Divide h + r - 7 * m + 114 by 31 and get a quotient n and a remainder p.
• The value of n gives the month (3 for March and 4 for April) and the value of p + 1 gives the day of the month. For example, if y is 2003:

  
  a = 8
  b = 20
  c = 3
  d = 5
  e = 0
  f = 1
  g = 6
  h = 26 
  i = 0
  k = 3
  r = 3
  m = 0
  n = 4
  p = 19

• Therefore, in 2003, Easter fell on April 20 (month = n = 4 and day = p + 1 = 20).

Assignment:

1. Write a program to solve for the day that Easter falls on for a given year.
2. The program should display the values for all of the variables using System.out. This is very useful for debugging. A Sample run output for the year 2003 would be:

   
   a = 8
   b = 20
   c = 3
   d = 5
   e = 0
   f = 1
   g = 6
   h = 26
   i = 0
   k = 3
   r = 3
   m = 0
   n = 4
   p = 19
   

3. The applet window should display the Easter in 2003 falls on 4/20
4. Verify that the program gives the correct date of Easter for the current year.
5. You will need a web page to display your applet. Your homepage should have a link to the web page for this assignment.
6. Submit the URL of your applet along with your Java code (the .java file(s)) in an email message to mrsimon@lycos.com