# Easter Sundays P35547

Statement

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Easter Sunday is a mobile holiday corresponding to the first Sunday after the first full moon of the spring. Write a program to compute the day D and the month M of the Easter Sunday of every given year Y.

Below, := indicates assignment, div indicates integer division, and mod indicates the remainder of the integer division. To solve this problem, use the Gauss method:

• Compute
1. k := Y ‍div ‍100
2. x := Y  ‍mod ‍ 19
3. b := Y  ‍mod ‍ 4
4. c := Y  ‍mod ‍ 7
5. q := k ‍div ‍4
6. p := (13+8k) ‍div ‍25
7. y := (15−p+kq)  ‍mod ‍ 30
8. z := (19x+y)  ‍mod ‍ 30
9. n := (4+kq)  ‍mod ‍ 7
10. e := (2b+4c+6z+n)  ‍mod ‍7
• If z+e ≤ 9, then D := 22+z+e and M := 3.
• Otherwise, if z=29 and e=6, then D := 19 and M := 4.
• Otherwise, if z=28 and e=6 and x>10, then D := 18 and M := 4.
• Otherwise, D := z+e−9 and M := 4.

Input

Input consists of several natural numbers between 1800 and 9999.

Output

Print the day and the month of the Easter Sunday of each year.

Public test cases
• Input

```2006
1999
```

Output

```16/4
4/4
```
• Information
Author
Jordi Petit
Language
English
Translator
Carlos Molina
Original language
Catalan
Other languages
Catalan
Official solutions
C++ Java Pascal Python
User solutions
C C++ Java Python